TSTP Solution File: SEV372^5 by cocATP---0.2.0

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEV372^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n092.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 13:34:06 EDT 2014

% Result   : Timeout 300.09s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SEV372^5 : TPTP v6.1.0. Released v4.0.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n092.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.20.3.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jul 17 08:58:51 CDT 2014
% % CPUTime  : 300.09 
% 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 0x1347e18>, <kernel.DependentProduct object at 0x1347b48>) of role type named cGVB_OP
% Using role type
% Declaring cGVB_OP:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x1215098>, <kernel.DependentProduct object at 0x13477e8>) of role type named cGVB_FIRST
% Using role type
% Declaring cGVB_FIRST:(fofType->fofType)
% FOF formula (<kernel.Constant object at 0x1347830>, <kernel.DependentProduct object at 0x1347b48>) of role type named cGVB_M
% Using role type
% Declaring cGVB_M:(fofType->Prop)
% FOF formula (forall (Xa:fofType) (Xb:fofType), (((and (cGVB_M Xa)) (cGVB_M Xb))->(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) Xa))) of role conjecture named cGVB_FST_PROP_1
% Conjecture to prove = (forall (Xa:fofType) (Xb:fofType), (((and (cGVB_M Xa)) (cGVB_M Xb))->(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) Xa))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(forall (Xa:fofType) (Xb:fofType), (((and (cGVB_M Xa)) (cGVB_M Xb))->(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) Xa)))']
% Parameter fofType:Type.
% Parameter cGVB_OP:(fofType->(fofType->fofType)).
% Parameter cGVB_FIRST:(fofType->fofType).
% Parameter cGVB_M:(fofType->Prop).
% Trying to prove (forall (Xa:fofType) (Xb:fofType), (((and (cGVB_M Xa)) (cGVB_M Xb))->(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) Xa)))
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x0:(P (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Instantiate: b:=(cGVB_FIRST ((cGVB_OP Xa) Xb)):fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x2:(P (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Instantiate: b:=(cGVB_FIRST ((cGVB_OP Xa) Xb)):fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x0:(P Xa)
% Instantiate: b:=Xa:fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x2:(P Xa)
% Instantiate: b:=Xa:fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x00:(P b)
% Found (fun (x00:(P b))=> x00) as proof of (P b)
% Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% Found x2:(P Xa)
% Instantiate: b:=Xa:fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x00:(P Xa)
% Found (fun (x00:(P Xa))=> x00) as proof of (P Xa)
% Found (fun (x00:(P Xa))=> x00) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found x00:(P b)
% Found (fun (x00:(P b))=> x00) as proof of (P b)
% Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x20:(P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found x0:(P Xa)
% Instantiate: b:=Xa:fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found x20:(P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x20:(P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found x20:(P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% 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 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% 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 x0:(P (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Instantiate: b:=(cGVB_FIRST ((cGVB_OP Xa) Xb)):fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found x2:(P (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Instantiate: b:=(cGVB_FIRST ((cGVB_OP Xa) Xb)):fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x0:(P Xa)
% Instantiate: b:=Xa:fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x0:(P (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Instantiate: a:=(cGVB_FIRST ((cGVB_OP Xa) Xb)):fofType
% Found x0 as proof of (P0 a)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% 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 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x0:(P1 Xa)
% Instantiate: b:=Xa:fofType
% Found x0 as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found x2:(P Xa)
% Instantiate: b:=Xa:fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x00:(P b)
% Found (fun (x00:(P b))=> x00) as proof of (P b)
% Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% Found x00:(P b)
% Found (fun (x00:(P b))=> x00) as proof of (P b)
% Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x2:(P (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Instantiate: a:=(cGVB_FIRST ((cGVB_OP Xa) Xb)):fofType
% Found x2 as proof of (P0 a)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) Xa)
% 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 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 x10:(P1 Xa)
% Found (fun (x10:(P1 Xa))=> x10) as proof of (P1 Xa)
% Found (fun (x10:(P1 Xa))=> x10) as proof of (P2 Xa)
% Found x2:(P Xa)
% Instantiate: b:=Xa:fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found x0:(P b)
% Instantiate: b0:=b:fofType
% Found x0 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x0:(P Xa)
% Instantiate: b:=Xa:fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x00:(P Xa)
% Found (fun (x00:(P Xa))=> x00) as proof of (P Xa)
% Found (fun (x00:(P Xa))=> x00) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x00:(P Xa)
% Found (fun (x00:(P Xa))=> x00) as proof of (P Xa)
% Found (fun (x00:(P Xa))=> x00) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x0:(P Xa)
% Instantiate: a:=Xa:fofType
% Found x0 as proof of (P0 a)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% 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 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 x2:(P1 Xa)
% Instantiate: b:=Xa:fofType
% Found x2 as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x00:(P1 b)
% Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x00:(P Xa)
% Found (fun (x00:(P Xa))=> x00) as proof of (P Xa)
% Found (fun (x00:(P Xa))=> x00) as proof of (P0 Xa)
% Found x00:(P Xa)
% Found (fun (x00:(P Xa))=> x00) as proof of (P Xa)
% Found (fun (x00:(P Xa))=> x00) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found x2:(P b)
% Instantiate: b0:=b:fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x0:(P0 b0)
% Instantiate: b0:=(cGVB_FIRST ((cGVB_OP Xa) Xb)):fofType
% Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% Found x2:(P1 Xa)
% Instantiate: b:=Xa:fofType
% Found x2 as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found x30:(P1 Xa)
% Found (fun (x30:(P1 Xa))=> x30) as proof of (P1 Xa)
% Found (fun (x30:(P1 Xa))=> x30) as proof of (P2 Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x2:(P Xa)
% Instantiate: b:=Xa:fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x0:(P Xa)
% Instantiate: b0:=Xa:fofType
% Found x0 as proof of (P0 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 x0:(P b)
% Instantiate: b0:=b:fofType
% Found x0 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found x00:(P1 Xa)
% Found (fun (x00:(P1 Xa))=> x00) as proof of (P1 Xa)
% Found (fun (x00:(P1 Xa))=> x00) as proof of (P2 Xa)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found x2:(P Xa)
% Instantiate: a:=Xa:fofType
% Found x2 as proof of (P0 a)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x0:(P b)
% Found x0 as proof of (P0 Xa)
% Found x20:(P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found x20:(P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% 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 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 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found x2:(P b)
% Instantiate: b0:=b:fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x2:(P Xa)
% Instantiate: b:=Xa:fofType
% Found x2 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found x0:(P b)
% Found x0 as proof of (P0 (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% 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 x0:(P Xa)
% Instantiate: b:=Xa:fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found x0:(P Xa)
% Instantiate: b:=Xa:fofType
% Found x0 as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found x2:(P Xa)
% Instantiate: a:=Xa:fofType
% Found x2 as proof of (P0 a)
% Found x30:(P1 Xa)
% Found (fun (x30:(P1 Xa))=> x30) as proof of (P1 Xa)
% Found (fun (x30:(P1 Xa))=> x30) as proof of (P2 Xa)
% Found x20:(P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% 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 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found x20:(P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found x20:(P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P2 b)
% Found x00:(P1 b)
% Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% Found x00:(P1 Xa)
% Found (fun (x00:(P1 Xa))=> x00) as proof of (P1 Xa)
% Found (fun (x00:(P1 Xa))=> x00) as proof of (P2 Xa)
% Found x00:(P1 Xa)
% Found (fun (x00:(P1 Xa))=> x00) as proof of (P1 Xa)
% Found (fun (x00:(P1 Xa))=> x00) as proof of (P2 Xa)
% Found x2:(P b)
% Found x2 as proof of (P0 (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x00:(P0 b)
% Found (fun (x00:(P0 b))=> x00) as proof of (P0 b)
% Found (fun (x00:(P0 b))=> x00) as proof of (P1 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found x00:(P0 b)
% Found (fun (x00:(P0 b))=> x00) as proof of (P0 b)
% Found (fun (x00:(P0 b))=> x00) as proof of (P1 b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 x0:(P (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Instantiate: b0:=(cGVB_FIRST ((cGVB_OP Xa) Xb)):fofType
% Found x0 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x2:(P0 b0)
% Instantiate: b0:=(cGVB_FIRST ((cGVB_OP Xa) Xb)):fofType
% Found (fun (x2:(P0 b0))=> x2) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x2:(P0 b0)
% Instantiate: b0:=(cGVB_FIRST ((cGVB_OP Xa) Xb)):fofType
% Found (fun (x2:(P0 b0))=> x2) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found x20:(P b)
% Found (fun (x20:(P b))=> x20) as proof of (P b)
% Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found x0:(P0 b0)
% Instantiate: b0:=Xa:fofType
% Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found x20:(P1 Xa)
% Found (fun (x20:(P1 Xa))=> x20) as proof of (P1 Xa)
% Found (fun (x20:(P1 Xa))=> x20) as proof of (P2 Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found x2:(P Xa)
% Instantiate: b0:=Xa:fofType
% Found x2 as proof of (P0 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 x2:(P Xa)
% Instantiate: b0:=Xa:fofType
% Found x2 as proof of (P0 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% 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 x20:(P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% 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 x2:(P b)
% Found x2 as proof of (P0 (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x2:(P0 b0)
% Instantiate: b0:=(cGVB_FIRST ((cGVB_OP Xa) Xb)):fofType
% Found (fun (x2:(P0 b0))=> x2) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% Found x00:(P b)
% Found (fun (x00:(P b))=> x00) as proof of (P b)
% Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% Found x00:(P Xa)
% Found (fun (x00:(P Xa))=> x00) as proof of (P Xa)
% Found (fun (x00:(P Xa))=> x00) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x2:(P0 b0)
% Instantiate: b0:=(cGVB_FIRST ((cGVB_OP Xa) Xb)):fofType
% Found (fun (x2:(P0 b0))=> x2) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% Found x20:(P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P0 Xa)
% Found x20:(P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P0 Xa)
% Found x2:(P Xa)
% Instantiate: b0:=Xa:fofType
% Found x2 as proof of (P0 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 x0:(P1 Xa)
% Instantiate: b:=Xa:fofType
% Found x0 as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found x00:(P Xa)
% Found (fun (x00:(P Xa))=> x00) as proof of (P Xa)
% Found (fun (x00:(P Xa))=> x00) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 x2:(P Xa)
% Instantiate: b0:=Xa:fofType
% Found x2 as proof of (P0 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found x00:(P b0)
% Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% 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 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x0:(P0 Xa)
% Found (fun (x0:(P0 Xa))=> x0) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x0:(P0 Xa))=> x0) as proof of ((P0 Xa)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x0:(P0 Xa))=> x0) as proof of (P Xa)
% Found x20:(P1 Xa)
% Found (fun (x20:(P1 Xa))=> x20) as proof of (P1 Xa)
% Found (fun (x20:(P1 Xa))=> x20) as proof of (P2 Xa)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x2:(P0 b0)
% Instantiate: b0:=(cGVB_FIRST ((cGVB_OP Xa) Xb)):fofType
% Found (fun (x2:(P0 b0))=> x2) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x20:(P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P0 Xa)
% Found x20:(P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found x2:(P b)
% Instantiate: b0:=b:fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found x2:(P Xa)
% Instantiate: b0:=Xa:fofType
% Found x2 as proof of (P0 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b00)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b00)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b00)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found x0:(P0 (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (fun (x0:(P0 (cGVB_FIRST ((cGVB_OP Xa) Xb))))=> x0) as proof of (P0 b)
% Found (fun (P0:(fofType->Prop)) (x0:(P0 (cGVB_FIRST ((cGVB_OP Xa) Xb))))=> x0) as proof of ((P0 (cGVB_FIRST ((cGVB_OP Xa) Xb)))->(P0 b))
% Found (fun (P0:(fofType->Prop)) (x0:(P0 (cGVB_FIRST ((cGVB_OP Xa) Xb))))=> x0) as proof of (P (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found x20:(P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P1 b)
% Found x2:(P b)
% Found x2 as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x20:(P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P2 b)
% Found x20:(P1 Xa)
% Found (fun (x20:(P1 Xa))=> x20) as proof of (P1 Xa)
% Found (fun (x20:(P1 Xa))=> x20) as proof of (P2 Xa)
% Found x20:(P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P2 b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x20:(P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P1 b)
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b1)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b1)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b1)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% Found (eq_ref0 a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found ((eq_ref fofType) a) as proof of (((eq fofType) a) ((cGVB_OP Xa) Xb))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% 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 b):(((eq fofType) b) b)
% Found (eq_ref0 b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b)
% 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% 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 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% 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 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found x2:(P b)
% Instantiate: b0:=b:fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x20:(P b0)
% Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b1)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b1)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b1)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) Xa)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xa)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xa)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xa)
% Found x20:(P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P1 b)
% Found x00:(P b0)
% Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% Found (fun (x00:(P b0))=> x00) as proof of (P0 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 x2:(P0 b0)
% Instantiate: b0:=Xa:fofType
% Found (fun (x2:(P0 b0))=> x2) as proof of (P0 Xa)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 Xa))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x2:(P0 b)
% Instantiate: b0:=b:fofType
% Found (fun (x2:(P0 b))=> x2) as proof of (P0 b0)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 b0))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b))=> x2) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found x20:(P1 Xa)
% Found (fun (x20:(P1 Xa))=> x20) as proof of (P1 Xa)
% Found (fun (x20:(P1 Xa))=> x20) as proof of (P2 Xa)
% Found x20:(P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P1 b)
% Found (fun (x20:(P1 b))=> x20) as proof of (P2 b)
% Found x20:(P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P1 b)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% 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 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP b) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) (cGVB_FIRST ((cGVB_OP b) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP b) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) 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 x20:(P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found x20:(P1 Xa)
% Found (fun (x20:(P1 Xa))=> x20) as proof of (P1 Xa)
% Found (fun (x20:(P1 Xa))=> x20) as proof of (P2 Xa)
% Found x2:(P b)
% Instantiate: b0:=b:fofType
% Found x2 as proof of (P0 b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 (cGVB_FIRST ((cGVB_OP b) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) (cGVB_FIRST ((cGVB_OP b) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP b) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP b) Xb))) b0)
% Found x20:(P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P1 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 x2:(P0 b0)
% Instantiate: b0:=Xa:fofType
% Found (fun (x2:(P0 b0))=> x2) as proof of (P0 Xa)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 Xa))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found x2:(P0 b)
% Instantiate: b0:=b:fofType
% Found (fun (x2:(P0 b))=> x2) as proof of (P0 b0)
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 b0))
% Found (fun (P0:(fofType->Prop)) (x2:(P0 b))=> x2) as proof of (P b0)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found x20:(P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P0 b)
% Found (fun (x20:(P0 b))=> x20) as proof of (P1 b)
% Found x20:(P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 x0:(P b)
% Found x0 as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b1)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b1)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b1)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b1)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) Xa)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xa)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xa)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 x20:(P b0)
% Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% Found (fun (x20:(P b0))=> x20) as proof of (P0 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found x00:(P (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (fun (x00:(P (cGVB_FIRST ((cGVB_OP Xa) Xb))))=> x00) as proof of (P (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (fun (x00:(P (cGVB_FIRST ((cGVB_OP Xa) Xb))))=> x00) as proof of (P0 (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% 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 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found x2:(P Xa)
% Found x2 as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% Found (eq_ref0 b1) as proof of (((eq fofType) b1) Xa)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xa)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xa)
% Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) Xa)
% 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found x20:(P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P Xa)
% Found (fun (x20:(P Xa))=> x20) as proof of (P0 Xa)
% Found eq_ref00:=(eq_ref0 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% 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 Xa):(((eq fofType) Xa) Xa)
% Found (eq_ref0 Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) b0)
% Found ((eq_ref fofType) Xa) as proof of (((eq fofType) Xa) 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 b0):(((eq fofType) b0) b0)
% Found (eq_ref0 b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) Xa)
% Found eq_ref00:=(eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))):(((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) (cGVB_FIRST ((cGVB_OP Xa) Xb)))
% Found (eq_ref0 (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) as proof of (((eq fofType) (cGVB_FIRST ((cGVB_OP Xa) Xb))) b0)
% Found ((eq_ref fofType) (cGVB_FIRST ((cGVB
% EOF
%------------------------------------------------------------------------------