cocATP---0.2.0.TMO-Non.f

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : NUM804^5 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n160.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.625MB
% OS       : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan  8 13:11:48 EST 2018

% Result   : Timeout 293.23s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM804^5 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03  % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.23  % Computer : n160.star.cs.uiowa.edu
% 0.02/0.23  % Model    : x86_64 x86_64
% 0.02/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23  % Memory   : 32218.625MB
% 0.02/0.23  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23  % CPULimit : 300
% 0.02/0.23  % DateTime : Fri Jan  5 14:23:04 CST 2018
% 0.02/0.23  % CPUTime  : 
% 0.02/0.25  Python 2.7.13
% 4.03/4.27  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 4.03/4.27  FOF formula (<kernel.Constant object at 0x2ab7d3eb1a28>, <kernel.Type object at 0x2ab7d45cebd8>) of role type named n_type
% 4.03/4.27  Using role type
% 4.03/4.27  Declaring n:Type
% 4.03/4.27  FOF formula (<kernel.Constant object at 0x2ab7d3b58638>, <kernel.Constant object at 0x2ab7d45ce518>) of role type named c0
% 4.03/4.27  Using role type
% 4.03/4.27  Declaring c0:n
% 4.03/4.27  FOF formula (<kernel.Constant object at 0x2ab7d3eb1488>, <kernel.DependentProduct object at 0x2ab7d45ce3b0>) of role type named c_plus
% 4.03/4.27  Using role type
% 4.03/4.27  Declaring c_plus:(n->(n->n))
% 4.03/4.27  FOF formula (forall (Xx:n), (((eq n) ((c_plus Xx) c0)) Xx)) of role conjecture named cPA_1
% 4.03/4.27  Conjecture to prove = (forall (Xx:n), (((eq n) ((c_plus Xx) c0)) Xx)):Prop
% 4.03/4.27  We need to prove ['(forall (Xx:n), (((eq n) ((c_plus Xx) c0)) Xx))']
% 4.03/4.27  Parameter n:Type.
% 4.03/4.27  Parameter c0:n.
% 4.03/4.27  Parameter c_plus:(n->(n->n)).
% 4.03/4.27  Trying to prove (forall (Xx:n), (((eq n) ((c_plus Xx) c0)) Xx))
% 4.03/4.27  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 4.03/4.27  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 4.03/4.27  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 4.03/4.27  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 4.03/4.27  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 4.03/4.27  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 4.03/4.27  Found (eq_ref0 b) as proof of (((eq n) b) Xx)
% 4.03/4.27  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 4.03/4.27  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 4.03/4.27  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 4.03/4.27  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 4.03/4.27  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 4.03/4.27  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 4.03/4.27  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 4.03/4.27  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 4.03/4.27  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 4.03/4.27  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found x:(P ((c_plus Xx) c0))
% 4.03/4.27  Instantiate: b:=((c_plus Xx) c0):n
% 4.03/4.27  Found x as proof of (P0 b)
% 4.03/4.27  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 4.03/4.27  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 4.03/4.27  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 4.03/4.27  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 4.03/4.27  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 4.03/4.27  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 4.03/4.27  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 4.03/4.27  Found (eq_ref0 b) as proof of (((eq n) b) Xx)
% 4.03/4.27  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 4.03/4.27  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 4.03/4.27  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 4.03/4.27  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 4.03/4.27  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found x:(P Xx)
% 4.03/4.27  Instantiate: b:=Xx:n
% 4.03/4.27  Found x as proof of (P0 b)
% 4.03/4.27  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 4.03/4.27  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 4.03/4.27  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 4.03/4.27  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 4.03/4.27  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 4.03/4.27  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 4.03/4.27  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 4.03/4.27  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 8.28/8.47  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 8.28/8.47  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 8.28/8.47  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 8.28/8.47  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 8.28/8.47  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 8.28/8.47  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 8.28/8.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 8.28/8.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 8.28/8.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 8.28/8.47  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 8.28/8.47  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 8.28/8.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 8.28/8.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 8.28/8.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 8.28/8.47  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 8.28/8.47  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 8.28/8.47  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 8.28/8.47  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 8.28/8.47  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 8.28/8.47  Found x2:(P b)
% 8.28/8.47  Found (fun (x2:(P b))=> x2) as proof of (P b)
% 8.28/8.47  Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 8.28/8.47  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 8.28/8.47  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 8.28/8.47  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 8.28/8.47  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 8.28/8.47  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 8.28/8.47  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 8.28/8.47  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 8.28/8.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 8.28/8.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 8.28/8.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 8.28/8.47  Found x3:(P Xx)
% 8.28/8.47  Found (fun (x3:(P Xx))=> x3) as proof of (P Xx)
% 8.28/8.47  Found (fun (x3:(P Xx))=> x3) as proof of (P0 Xx)
% 8.28/8.47  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 8.28/8.47  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 8.28/8.47  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 8.28/8.47  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 8.28/8.47  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 8.28/8.47  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 8.28/8.47  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 8.28/8.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 8.28/8.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 8.28/8.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 8.28/8.47  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 8.28/8.47  Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 8.28/8.47  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 8.28/8.47  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 8.28/8.47  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 8.28/8.47  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 8.28/8.47  Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 8.28/8.47  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 8.28/8.47  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 8.28/8.47  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 8.28/8.47  Found x2:(P Xx)
% 8.28/8.47  Found (fun (x2:(P Xx))=> x2) as proof of (P Xx)
% 8.28/8.47  Found (fun (x2:(P Xx))=> x2) as proof of (P0 Xx)
% 8.28/8.47  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 8.28/8.47  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 8.28/8.47  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 8.28/8.47  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 8.28/8.47  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 8.28/8.47  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 8.28/8.47  Found (eq_ref0 b) as proof of (((eq n) b) Xx)
% 8.28/8.47  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 8.28/8.47  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 8.28/8.47  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 8.28/8.47  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 8.28/8.47  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 8.28/8.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 8.28/8.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 8.28/8.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 8.28/8.47  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 8.28/8.47  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 8.28/8.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 8.28/8.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 14.43/14.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 14.43/14.65  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 14.43/14.65  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 14.43/14.65  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 14.43/14.65  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 14.43/14.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 14.43/14.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 14.43/14.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 14.43/14.65  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 14.43/14.65  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 14.43/14.65  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 14.43/14.65  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 14.43/14.65  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 14.43/14.65  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 14.43/14.65  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 14.43/14.65  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 14.43/14.65  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 14.43/14.65  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 14.43/14.65  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 14.43/14.65  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 14.43/14.65  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 14.43/14.65  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 14.43/14.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 14.43/14.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 14.43/14.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 14.43/14.65  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 14.43/14.65  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 14.43/14.65  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 14.43/14.65  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 14.43/14.65  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 14.43/14.65  Found x:(P ((c_plus Xx) c0))
% 14.43/14.65  Instantiate: b:=((c_plus Xx) c0):n
% 14.43/14.65  Found x as proof of (P0 b)
% 14.43/14.65  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 14.43/14.65  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 14.43/14.65  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 14.43/14.65  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 14.43/14.65  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 14.43/14.65  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 14.43/14.65  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 14.43/14.65  Found (eq_ref0 b) as proof of (((eq n) b) Xx)
% 14.43/14.65  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 14.43/14.65  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 14.43/14.65  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 14.43/14.65  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 14.43/14.65  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found x:(P Xx)
% 14.43/14.65  Instantiate: b:=Xx:n
% 14.43/14.65  Found x as proof of (P0 b)
% 14.43/14.65  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 14.43/14.65  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 14.43/14.65  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 14.43/14.65  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 14.43/14.65  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 14.43/14.65  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 14.43/14.65  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 14.43/14.65  Found x:(P ((c_plus Xx) c0))
% 18.60/18.80  Instantiate: a:=((c_plus Xx) c0):n
% 18.60/18.80  Found x as proof of (P0 a)
% 18.60/18.80  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 18.60/18.80  Found (eq_ref0 b) as proof of (((eq n) b) Xx)
% 18.60/18.80  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 18.60/18.80  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 18.60/18.80  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 18.60/18.80  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 18.60/18.80  Found (eq_ref0 a) as proof of (((eq n) a) b)
% 18.60/18.80  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 18.60/18.80  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 18.60/18.80  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 18.60/18.80  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 18.60/18.80  Found (eq_ref0 a) as proof of (((eq n) a) b)
% 18.60/18.80  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 18.60/18.80  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 18.60/18.80  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 18.60/18.80  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 18.60/18.80  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 18.60/18.80  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found x:(P1 Xx)
% 18.60/18.80  Instantiate: b:=Xx:n
% 18.60/18.80  Found x as proof of (P2 b)
% 18.60/18.80  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 18.60/18.80  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 18.60/18.80  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 18.60/18.80  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 18.60/18.80  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 18.60/18.80  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 18.60/18.80  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 18.60/18.80  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 18.60/18.80  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 18.60/18.80  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 18.60/18.80  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 18.60/18.80  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 18.60/18.80  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 18.60/18.80  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 18.60/18.80  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 18.60/18.80  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 18.60/18.80  Found x2:(P b)
% 24.35/24.58  Found (fun (x2:(P b))=> x2) as proof of (P b)
% 24.35/24.58  Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 24.35/24.58  Found x2:(P b)
% 24.35/24.58  Found (fun (x2:(P b))=> x2) as proof of (P b)
% 24.35/24.58  Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 24.35/24.58  Found x00:(P1 Xx)
% 24.35/24.58  Found (fun (x00:(P1 Xx))=> x00) as proof of (P1 Xx)
% 24.35/24.58  Found (fun (x00:(P1 Xx))=> x00) as proof of (P2 Xx)
% 24.35/24.58  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 24.35/24.58  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 24.35/24.58  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 24.35/24.58  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 24.35/24.58  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 24.35/24.58  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 24.35/24.58  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 24.35/24.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 24.35/24.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 24.35/24.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 24.35/24.58  Found x:(P b)
% 24.35/24.58  Instantiate: b0:=b:n
% 24.35/24.58  Found x as proof of (P0 b0)
% 24.35/24.58  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 24.35/24.58  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 24.35/24.58  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 24.35/24.58  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 24.35/24.58  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 24.35/24.58  Found x:(P Xx)
% 24.35/24.58  Instantiate: b:=Xx:n
% 24.35/24.58  Found x as proof of (P0 b)
% 24.35/24.58  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 24.35/24.58  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 24.35/24.58  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 24.35/24.58  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 24.35/24.58  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 24.35/24.58  Found x3:(P Xx)
% 24.35/24.58  Found (fun (x3:(P Xx))=> x3) as proof of (P Xx)
% 24.35/24.58  Found (fun (x3:(P Xx))=> x3) as proof of (P0 Xx)
% 24.35/24.58  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 24.35/24.58  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 24.35/24.58  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 24.35/24.58  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 24.35/24.58  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 24.35/24.58  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 24.35/24.58  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 24.35/24.58  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 24.35/24.58  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 24.35/24.58  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 24.35/24.58  Found x3:(P Xx)
% 24.35/24.58  Found (fun (x3:(P Xx))=> x3) as proof of (P Xx)
% 24.35/24.58  Found (fun (x3:(P Xx))=> x3) as proof of (P0 Xx)
% 24.35/24.58  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 24.35/24.58  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 24.35/24.58  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 24.35/24.58  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 24.35/24.58  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 24.35/24.58  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 24.35/24.58  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 24.35/24.58  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 24.35/24.58  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 24.35/24.58  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 24.35/24.58  Found x:(P Xx)
% 24.35/24.58  Instantiate: a:=Xx:n
% 24.35/24.58  Found x as proof of (P0 a)
% 24.35/24.58  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 24.35/24.58  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 24.35/24.58  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 24.35/24.58  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 24.35/24.58  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 24.35/24.58  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 24.35/24.58  Found (eq_ref0 a) as proof of (((eq n) a) b)
% 24.35/24.58  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 24.35/24.58  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 24.35/24.58  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 24.35/24.58  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 24.35/24.58  Found (eq_ref0 a) as proof of (((eq n) a) b)
% 24.35/24.58  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 24.35/24.58  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 24.35/24.58  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 24.35/24.58  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 24.35/24.58  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 24.35/24.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 24.35/24.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 24.35/24.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 31.01/31.20  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 31.01/31.20  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 31.01/31.20  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 31.01/31.20  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 31.01/31.20  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 31.01/31.20  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 31.01/31.20  Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 31.01/31.20  Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 31.01/31.20  Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 31.01/31.20  Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.01/31.20  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 31.01/31.20  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 31.01/31.20  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 31.01/31.20  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 31.01/31.20  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 31.01/31.20  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 31.01/31.20  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 31.01/31.20  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 31.01/31.20  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 31.01/31.20  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 31.01/31.20  Found x2:(P1 b)
% 31.01/31.20  Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 31.01/31.20  Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 31.01/31.20  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 31.01/31.20  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 31.01/31.20  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 31.01/31.20  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 31.01/31.20  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 31.01/31.20  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 31.01/31.20  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 31.01/31.20  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 31.01/31.20  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 31.01/31.20  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 31.01/31.20  Found x2:(P Xx)
% 31.01/31.20  Found (fun (x2:(P Xx))=> x2) as proof of (P Xx)
% 31.01/31.20  Found (fun (x2:(P Xx))=> x2) as proof of (P0 Xx)
% 31.01/31.20  Found x2:(P Xx)
% 31.01/31.20  Found (fun (x2:(P Xx))=> x2) as proof of (P Xx)
% 31.01/31.20  Found (fun (x2:(P Xx))=> x2) as proof of (P0 Xx)
% 31.01/31.20  Found x:(P b)
% 31.01/31.20  Found x as proof of (P0 ((c_plus Xx) c0))
% 31.01/31.20  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 31.01/31.20  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 31.01/31.20  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 31.01/31.20  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 31.01/31.20  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 31.01/31.20  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 31.01/31.20  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 31.01/31.20  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 31.01/31.20  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 31.01/31.20  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 31.01/31.20  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 31.01/31.20  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 31.01/31.20  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 31.01/31.20  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 31.01/31.20  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 31.01/31.20  Found x:(P0 b0)
% 31.01/31.20  Instantiate: b0:=((c_plus Xx) c0):n
% 31.01/31.20  Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 31.01/31.20  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 31.01/31.20  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 31.01/31.20  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 31.01/31.20  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 31.01/31.20  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 31.01/31.20  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found x:(P0 b0)
% 34.09/34.29  Instantiate: b0:=((c_plus Xx) c0):n
% 34.09/34.29  Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 34.09/34.29  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 34.09/34.29  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 34.09/34.29  Found x:(P Xx)
% 34.09/34.29  Instantiate: b0:=Xx:n
% 34.09/34.29  Found x as proof of (P0 b0)
% 34.09/34.29  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 34.09/34.29  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 34.09/34.29  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 34.09/34.29  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 34.09/34.29  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 34.09/34.29  Found x:(P Xx)
% 34.09/34.29  Instantiate: b0:=Xx:n
% 34.09/34.29  Found x as proof of (P0 b0)
% 34.09/34.29  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 34.09/34.29  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 34.09/34.29  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 34.09/34.29  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 34.09/34.29  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 34.09/34.29  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 34.09/34.29  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 34.09/34.29  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 34.09/34.29  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 34.09/34.29  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 34.09/34.29  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 34.09/34.29  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 34.09/34.29  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 34.09/34.29  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 34.09/34.29  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 34.09/34.29  Found x3:(P1 Xx)
% 34.09/34.29  Found (fun (x3:(P1 Xx))=> x3) as proof of (P1 Xx)
% 34.09/34.29  Found (fun (x3:(P1 Xx))=> x3) as proof of (P2 Xx)
% 34.09/34.29  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 34.09/34.29  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 34.09/34.29  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 34.09/34.29  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 34.09/34.29  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 34.09/34.29  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 34.09/34.29  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 34.09/34.29  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 34.09/34.29  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 34.09/34.29  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 34.09/34.29  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 34.09/34.29  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 34.09/34.29  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 34.09/34.29  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 34.09/34.29  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 34.09/34.29  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 34.09/34.29  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 34.09/34.29  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 34.09/34.29  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 34.09/34.29  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 34.09/34.29  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 34.09/34.29  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 34.09/34.29  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 34.09/34.29  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 34.09/34.29  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 34.09/34.29  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 34.09/34.29  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 34.09/34.29  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 34.09/34.29  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 34.09/34.29  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 45.42/45.67  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 45.42/45.67  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 45.42/45.67  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 45.42/45.67  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 45.42/45.67  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 45.42/45.67  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 45.42/45.67  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 45.42/45.67  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 45.42/45.67  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 45.42/45.67  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 45.42/45.67  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 45.42/45.67  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 45.42/45.67  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 45.42/45.67  Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 45.42/45.67  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 45.42/45.67  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 45.42/45.67  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 45.42/45.67  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 45.42/45.67  Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 45.42/45.67  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 45.42/45.67  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 45.42/45.67  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 45.42/45.67  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 45.42/45.67  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 45.42/45.67  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 45.42/45.67  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 45.42/45.67  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 45.42/45.67  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 45.42/45.67  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 45.42/45.67  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 45.42/45.67  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 45.42/45.67  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 45.42/45.67  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 45.42/45.67  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 45.42/45.67  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 45.42/45.67  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 45.42/45.67  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 45.42/45.67  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 45.42/45.67  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 45.42/45.67  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 45.42/45.67  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 45.42/45.67  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 45.42/45.67  Found x2:(P1 Xx)
% 45.42/45.67  Found (fun (x2:(P1 Xx))=> x2) as proof of (P1 Xx)
% 45.42/45.67  Found (fun (x2:(P1 Xx))=> x2) as proof of (P2 Xx)
% 45.42/45.67  Found x2:(P1 Xx)
% 45.42/45.67  Found (fun (x2:(P1 Xx))=> x2) as proof of (P1 Xx)
% 45.42/45.67  Found (fun (x2:(P1 Xx))=> x2) as proof of (P2 Xx)
% 45.42/45.67  Found x2:(P1 b)
% 45.42/45.67  Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 45.42/45.67  Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 45.42/45.67  Found x2:(P0 b)
% 45.42/45.67  Found (fun (x2:(P0 b))=> x2) as proof of (P0 b)
% 45.42/45.67  Found (fun (x2:(P0 b))=> x2) as proof of (P1 b)
% 45.42/45.67  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 45.42/45.67  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 45.42/45.67  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 45.42/45.67  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 45.42/45.67  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 45.42/45.67  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 45.42/45.67  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 45.42/45.67  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 45.42/45.67  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 45.42/45.67  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 45.42/45.67  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 45.42/45.67  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 45.42/45.67  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 45.42/45.67  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 45.42/45.67  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 45.42/45.67  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 45.42/45.67  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 45.42/45.67  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 45.42/45.67  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 45.42/45.67  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 45.42/45.67  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 45.42/45.67  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 45.42/45.67  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 45.42/45.67  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 45.42/45.67  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 48.44/48.65  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 48.44/48.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 48.44/48.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 48.44/48.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 48.44/48.65  Found x:(P b)
% 48.44/48.65  Instantiate: b0:=b:n
% 48.44/48.65  Found x as proof of (P0 b0)
% 48.44/48.65  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 48.44/48.65  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found x2:(P0 b)
% 48.44/48.65  Found (fun (x2:(P0 b))=> x2) as proof of (P0 b)
% 48.44/48.65  Found (fun (x2:(P0 b))=> x2) as proof of (P1 b)
% 48.44/48.65  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 48.44/48.65  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 48.44/48.65  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 48.44/48.65  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 48.44/48.65  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 48.44/48.65  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 48.44/48.65  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 48.44/48.65  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 48.44/48.65  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.44/48.65  Found x2:(P b0)
% 48.44/48.65  Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 48.44/48.65  Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 48.44/48.65  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 48.44/48.65  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 48.44/48.65  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 48.44/48.65  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 48.44/48.65  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 48.44/48.65  Found x:(P0 b0)
% 48.44/48.65  Instantiate: b0:=Xx:n
% 48.44/48.65  Found (fun (x:(P0 b0))=> x) as proof of (P0 Xx)
% 48.44/48.65  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 Xx))
% 48.44/48.65  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 48.44/48.65  Found x:(P Xx)
% 48.44/48.65  Found x as proof of (P0 Xx)
% 48.44/48.65  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 48.44/48.65  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found x:(P0 b)
% 48.44/48.65  Instantiate: b0:=b:n
% 48.44/48.65  Found (fun (x:(P0 b))=> x) as proof of (P0 b0)
% 48.44/48.65  Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 b0))
% 48.44/48.65  Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of (P b0)
% 48.44/48.65  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 48.44/48.65  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 48.44/48.65  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 48.44/48.65  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 53.05/53.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 53.05/53.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 53.05/53.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 53.05/53.24  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 53.05/53.24  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 53.05/53.24  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 53.05/53.24  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 53.05/53.24  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 53.05/53.24  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 53.05/53.24  Found (eq_ref0 b1) as proof of (((eq n) b1) Xx)
% 53.05/53.24  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 53.05/53.24  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 53.05/53.24  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 53.05/53.24  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 53.05/53.24  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 53.05/53.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 53.05/53.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 53.05/53.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 53.05/53.24  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 53.05/53.24  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 53.05/53.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 53.05/53.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 53.05/53.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 53.05/53.24  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 53.05/53.24  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 53.05/53.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 53.05/53.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 53.05/53.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 53.05/53.24  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 53.05/53.24  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 53.05/53.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 53.05/53.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 53.05/53.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 53.05/53.24  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 53.05/53.24  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 53.05/53.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 53.05/53.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 53.05/53.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 53.05/53.24  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 53.05/53.24  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 53.05/53.24  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 53.05/53.24  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 53.05/53.24  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 53.05/53.24  Found x2:(P Xx)
% 53.05/53.24  Found (fun (x2:(P Xx))=> x2) as proof of (P Xx)
% 53.05/53.24  Found (fun (x2:(P Xx))=> x2) as proof of (P0 Xx)
% 53.05/53.24  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 53.05/53.24  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 53.05/53.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 53.05/53.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 53.05/53.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 53.05/53.24  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 53.05/53.24  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 53.05/53.24  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 53.05/53.24  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 53.05/53.24  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 53.05/53.24  Found x:(P0 ((c_plus Xx) c0))
% 53.05/53.24  Found (fun (x:(P0 ((c_plus Xx) c0)))=> x) as proof of (P0 b)
% 53.05/53.24  Found (fun (P0:(n->Prop)) (x:(P0 ((c_plus Xx) c0)))=> x) as proof of ((P0 ((c_plus Xx) c0))->(P0 b))
% 53.05/53.24  Found (fun (P0:(n->Prop)) (x:(P0 ((c_plus Xx) c0)))=> x) as proof of (P ((c_plus Xx) c0))
% 53.05/53.24  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 53.05/53.24  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 53.05/53.24  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 53.05/53.24  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 53.05/53.24  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 53.05/53.24  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 53.05/53.24  Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 53.05/53.24  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 53.05/53.24  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 53.05/53.24  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 53.05/53.24  Found x3:(P Xx)
% 53.05/53.24  Found (fun (x3:(P Xx))=> x3) as proof of (P Xx)
% 53.05/53.24  Found (fun (x3:(P Xx))=> x3) as proof of (P0 Xx)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 61.09/61.33  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 61.09/61.33  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 61.09/61.33  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 61.09/61.33  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 61.09/61.33  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 61.09/61.33  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 61.09/61.33  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 61.09/61.33  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 61.09/61.33  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 61.09/61.33  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 61.09/61.33  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b00)
% 61.09/61.33  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 61.09/61.33  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 61.09/61.33  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 61.09/61.33  Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 61.09/61.33  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 61.09/61.33  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 61.09/61.33  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 61.09/61.33  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 61.09/61.33  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 61.09/61.33  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 61.09/61.33  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 61.09/61.33  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 61.09/61.33  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 61.09/61.33  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 61.09/61.33  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 61.09/61.33  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 61.09/61.33  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 61.09/61.33  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 61.09/61.33  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 61.09/61.33  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.09/61.33  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 64.95/65.21  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 64.95/65.21  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 64.95/65.21  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 64.95/65.21  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 64.95/65.21  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 64.95/65.21  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 64.95/65.21  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 64.95/65.21  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 64.95/65.21  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 64.95/65.21  Found x2:(P b0)
% 64.95/65.21  Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 64.95/65.21  Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 64.95/65.21  Found x2:(P b0)
% 64.95/65.21  Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 64.95/65.21  Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 64.95/65.21  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 64.95/65.21  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 64.95/65.21  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 64.95/65.21  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 64.95/65.21  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 64.95/65.21  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 64.95/65.21  Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 64.95/65.21  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 64.95/65.21  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 64.95/65.21  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 64.95/65.21  Found eq_ref00:=(eq_ref0 ((c_plus b) c0)):(((eq n) ((c_plus b) c0)) ((c_plus b) c0))
% 64.95/65.21  Found (eq_ref0 ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 64.95/65.21  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 64.95/65.21  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 64.95/65.21  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 64.95/65.21  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 64.95/65.21  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 64.95/65.21  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 64.95/65.21  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 64.95/65.21  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 64.95/65.21  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 64.95/65.21  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 64.95/65.21  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 64.95/65.21  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 64.95/65.21  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 64.95/65.21  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 64.95/65.21  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 64.95/65.21  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 64.95/65.21  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 64.95/65.21  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 64.95/65.21  Found x:(P0 Xx)
% 64.95/65.21  Found (fun (x:(P0 Xx))=> x) as proof of (P0 Xx)
% 64.95/65.21  Found (fun (P0:(n->Prop)) (x:(P0 Xx))=> x) as proof of ((P0 Xx)->(P0 Xx))
% 64.95/65.21  Found (fun (P0:(n->Prop)) (x:(P0 Xx))=> x) as proof of (P Xx)
% 64.95/65.21  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 64.95/65.21  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 64.95/65.21  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 64.95/65.21  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 64.95/65.21  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 64.95/65.21  Found eq_ref00:=(eq_ref0 ((c_plus b) c0)):(((eq n) ((c_plus b) c0)) ((c_plus b) c0))
% 64.95/65.21  Found (eq_ref0 ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 64.95/65.21  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 64.95/65.21  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 64.95/65.21  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 64.95/65.21  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 64.95/65.21  Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 64.95/65.21  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 64.95/65.21  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 64.95/65.21  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 64.95/65.21  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 64.95/65.21  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 64.95/65.21  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 64.95/65.21  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 64.95/65.21  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 64.95/65.21  Found x3:(P b)
% 64.95/65.21  Found (fun (x3:(P b))=> x3) as proof of (P b)
% 64.95/65.21  Found (fun (x3:(P b))=> x3) as proof of (P0 b)
% 64.95/65.21  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 64.95/65.21  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 64.95/65.21  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 64.95/65.21  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 64.95/65.21  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 73.49/73.69  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 73.49/73.69  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.49/73.69  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.49/73.69  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 73.49/73.69  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 73.49/73.69  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 73.49/73.69  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 73.49/73.69  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 73.49/73.69  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 73.49/73.69  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.49/73.69  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.49/73.69  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 73.49/73.69  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 73.49/73.69  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 73.49/73.69  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 73.49/73.69  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 73.49/73.69  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 73.49/73.69  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.49/73.69  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.49/73.69  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 73.49/73.69  Found (eq_ref0 b00) as proof of (((eq n) b00) Xx)
% 73.49/73.69  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 73.49/73.69  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 73.49/73.69  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 73.49/73.69  Found (eq_ref0 b) as proof of (((eq n) b) b00)
% 73.49/73.69  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 73.49/73.69  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 73.49/73.69  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 73.49/73.69  Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 73.49/73.69  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 73.49/73.69  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 73.49/73.69  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 73.49/73.69  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 73.49/73.69  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 73.49/73.69  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 73.49/73.69  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 73.49/73.69  Found x:(P ((c_plus Xx) c0))
% 73.49/73.69  Instantiate: a:=((c_plus Xx) c0):n
% 73.49/73.69  Found x as proof of (P0 a)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 73.49/73.69  Found (eq_ref0 b) as proof of (((eq n) b) Xx)
% 73.49/73.69  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 73.49/73.69  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 73.49/73.69  Found ((eq_ref n) b) as proof of (((eq n) b) Xx)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 73.49/73.69  Found (eq_ref0 a) as proof of (((eq n) a) b)
% 73.49/73.69  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 73.49/73.69  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 73.49/73.69  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 73.49/73.69  Found (eq_ref0 a) as proof of (((eq n) a) b)
% 73.49/73.69  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 73.49/73.69  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 73.49/73.69  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 73.49/73.69  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 73.49/73.69  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 73.49/73.69  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 73.49/73.69  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 73.49/73.69  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 73.49/73.69  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 73.49/73.69  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 73.49/73.69  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 73.49/73.69  Found x:(P1 Xx)
% 73.49/73.69  Instantiate: b:=Xx:n
% 73.49/73.69  Found x as proof of (P2 b)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 73.49/73.69  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 73.49/73.69  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 73.49/73.69  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 73.49/73.69  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 73.49/73.69  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 80.15/80.38  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 80.15/80.38  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 80.15/80.38  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 80.15/80.38  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 80.15/80.38  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 80.15/80.38  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 80.15/80.38  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 80.15/80.38  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 80.15/80.38  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 80.15/80.38  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 80.15/80.38  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 80.15/80.38  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 80.15/80.38  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found x2:(P b)
% 80.15/80.38  Found (fun (x2:(P b))=> x2) as proof of (P b)
% 80.15/80.38  Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 80.15/80.38  Found x00:(P1 Xx)
% 80.15/80.38  Found (fun (x00:(P1 Xx))=> x00) as proof of (P1 Xx)
% 80.15/80.38  Found (fun (x00:(P1 Xx))=> x00) as proof of (P2 Xx)
% 80.15/80.38  Found x:(P b)
% 80.15/80.38  Instantiate: b0:=b:n
% 80.15/80.38  Found x as proof of (P0 b0)
% 80.15/80.38  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 80.15/80.38  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 80.15/80.38  Found x:(P b)
% 80.15/80.38  Instantiate: b0:=b:n
% 80.15/80.38  Found x as proof of (P0 b0)
% 80.15/80.38  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 80.15/80.38  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 80.15/80.38  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 80.15/80.38  Found (eq_ref0 b1) as proof of (((eq n) b1) Xx)
% 80.15/80.38  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 80.15/80.38  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 80.15/80.38  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 80.15/80.38  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 80.15/80.38  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 80.15/80.38  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 80.15/80.38  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 80.15/80.38  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 80.15/80.38  Found x:(P Xx)
% 80.15/80.38  Instantiate: b:=Xx:n
% 80.15/80.38  Found x as proof of (P0 b)
% 80.15/80.38  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 80.15/80.38  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 80.15/80.38  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 80.15/80.38  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 80.15/80.38  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 80.15/80.38  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 80.15/80.38  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found x3:(P Xx)
% 80.15/80.38  Found (fun (x3:(P Xx))=> x3) as proof of (P Xx)
% 80.15/80.38  Found (fun (x3:(P Xx))=> x3) as proof of (P0 Xx)
% 80.15/80.38  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 80.15/80.38  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 80.15/80.38  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 80.15/80.38  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 80.15/80.38  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 80.15/80.38  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 80.15/80.38  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 80.15/80.38  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 85.84/86.10  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 85.84/86.10  Found x:(P Xx)
% 85.84/86.10  Instantiate: a:=Xx:n
% 85.84/86.10  Found x as proof of (P0 a)
% 85.84/86.10  Found x:(P Xx)
% 85.84/86.10  Instantiate: a:=Xx:n
% 85.84/86.10  Found x as proof of (P0 a)
% 85.84/86.10  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 85.84/86.10  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 85.84/86.10  Found (eq_ref0 a) as proof of (((eq n) a) b)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 85.84/86.10  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 85.84/86.10  Found (eq_ref0 a) as proof of (((eq n) a) b)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 85.84/86.10  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 85.84/86.10  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 85.84/86.10  Found (eq_ref0 a) as proof of (((eq n) a) b)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 85.84/86.10  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 85.84/86.10  Found (eq_ref0 a) as proof of (((eq n) a) b)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 85.84/86.10  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 85.84/86.10  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 85.84/86.10  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 85.84/86.10  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 85.84/86.10  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 85.84/86.10  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 85.84/86.10  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 85.84/86.10  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 85.84/86.10  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 85.84/86.10  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 85.84/86.10  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 85.84/86.10  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 85.84/86.10  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 85.84/86.10  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 85.84/86.10  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 85.84/86.10  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 85.84/86.10  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 85.84/86.10  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 85.84/86.10  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 85.84/86.10  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 85.84/86.10  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 85.84/86.10  Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 85.84/86.10  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 85.84/86.10  Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 85.84/86.10  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 85.84/86.10  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 85.84/86.10  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 85.84/86.10  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 85.84/86.10  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 85.84/86.10  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 85.84/86.10  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 85.84/86.10  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 85.84/86.10  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 85.84/86.10  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 85.84/86.10  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 85.84/86.10  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 93.34/93.57  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 93.34/93.57  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 93.34/93.57  Found x2:(P1 b)
% 93.34/93.57  Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 93.34/93.57  Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 93.34/93.57  Found x2:(P1 b)
% 93.34/93.57  Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 93.34/93.57  Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 93.34/93.57  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 93.34/93.57  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 93.34/93.57  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 93.34/93.57  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 93.34/93.57  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 93.34/93.57  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 93.34/93.57  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 93.34/93.57  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 93.34/93.57  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 93.34/93.57  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 93.34/93.57  Found x:(P b)
% 93.34/93.57  Found x as proof of (P0 ((c_plus Xx) c0))
% 93.34/93.57  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 93.34/93.57  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 93.34/93.57  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 93.34/93.57  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 93.34/93.57  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 93.34/93.57  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 93.34/93.57  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 93.34/93.57  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 93.34/93.57  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 93.34/93.57  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 93.34/93.57  Found x2:(P Xx)
% 93.34/93.57  Found (fun (x2:(P Xx))=> x2) as proof of (P Xx)
% 93.34/93.57  Found (fun (x2:(P Xx))=> x2) as proof of (P0 Xx)
% 93.34/93.57  Found x:(P1 Xx)
% 93.34/93.57  Instantiate: b:=Xx:n
% 93.34/93.57  Found x as proof of (P2 b)
% 93.34/93.57  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 93.34/93.57  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 93.34/93.57  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 93.34/93.57  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 93.34/93.57  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b)
% 93.34/93.57  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 93.34/93.57  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found x:(P0 b0)
% 93.34/93.57  Instantiate: b0:=((c_plus Xx) c0):n
% 93.34/93.57  Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 93.34/93.57  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 93.34/93.57  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 93.34/93.57  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 93.34/93.57  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found x:(P0 b0)
% 93.34/93.57  Instantiate: b0:=((c_plus Xx) c0):n
% 93.34/93.57  Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 93.34/93.57  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 93.34/93.57  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 93.34/93.57  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 93.34/93.57  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found x:(P0 b0)
% 93.34/93.57  Instantiate: b0:=((c_plus Xx) c0):n
% 93.34/93.57  Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 93.34/93.57  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 93.34/93.57  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 93.34/93.57  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 93.34/93.57  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 93.34/93.57  Found x:(P0 b0)
% 93.34/93.57  Instantiate: b0:=((c_plus Xx) c0):n
% 93.34/93.57  Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 93.34/93.57  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 98.28/98.46  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 98.28/98.46  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 98.28/98.46  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 98.28/98.46  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 98.28/98.46  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 98.28/98.46  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 98.28/98.46  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 98.28/98.46  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 98.28/98.46  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 98.28/98.46  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 98.28/98.46  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 98.28/98.46  Found x:(P Xx)
% 98.28/98.46  Instantiate: b0:=Xx:n
% 98.28/98.46  Found x as proof of (P0 b0)
% 98.28/98.46  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 98.28/98.46  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found x:(P Xx)
% 98.28/98.46  Instantiate: b0:=Xx:n
% 98.28/98.46  Found x as proof of (P0 b0)
% 98.28/98.46  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 98.28/98.46  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found x:(P Xx)
% 98.28/98.46  Instantiate: b0:=Xx:n
% 98.28/98.46  Found x as proof of (P0 b0)
% 98.28/98.46  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 98.28/98.46  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found x:(P Xx)
% 98.28/98.46  Instantiate: b0:=Xx:n
% 98.28/98.46  Found x as proof of (P0 b0)
% 98.28/98.46  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 98.28/98.46  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.28/98.46  Found x3:(P1 Xx)
% 98.28/98.46  Found (fun (x3:(P1 Xx))=> x3) as proof of (P1 Xx)
% 98.28/98.46  Found (fun (x3:(P1 Xx))=> x3) as proof of (P2 Xx)
% 98.28/98.46  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 98.28/98.46  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 98.28/98.46  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 98.28/98.46  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 98.28/98.46  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 98.28/98.46  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 98.28/98.46  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 98.28/98.46  Found x3:(P1 Xx)
% 98.28/98.46  Found (fun (x3:(P1 Xx))=> x3) as proof of (P1 Xx)
% 98.28/98.46  Found (fun (x3:(P1 Xx))=> x3) as proof of (P2 Xx)
% 98.28/98.46  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 98.28/98.46  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 98.28/98.46  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 98.28/98.46  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 98.28/98.46  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 98.28/98.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 98.28/98.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 98.28/98.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 98.28/98.47  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 98.28/98.47  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 98.28/98.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 98.28/98.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 98.28/98.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 98.28/98.47  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 98.28/98.47  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 98.28/98.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 98.28/98.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 98.28/98.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 98.28/98.47  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 98.28/98.47  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 98.28/98.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 98.28/98.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 98.28/98.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 98.28/98.47  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 106.58/106.80  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 106.58/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 106.58/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 106.58/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 106.58/106.80  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 106.58/106.80  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 106.58/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 106.58/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 106.58/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 106.58/106.80  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 106.58/106.80  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 106.58/106.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 106.58/106.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 106.58/106.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 106.58/106.80  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 106.58/106.80  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 106.58/106.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 106.58/106.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 106.58/106.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 106.58/106.80  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 106.58/106.80  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 106.58/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 106.58/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 106.58/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 106.58/106.80  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 106.58/106.80  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 106.58/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 106.58/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 106.58/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 106.58/106.80  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 106.58/106.80  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 106.58/106.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 106.58/106.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 106.58/106.80  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 106.58/106.80  Found x00:(P1 Xx)
% 106.58/106.80  Found (fun (x00:(P1 Xx))=> x00) as proof of (P1 Xx)
% 106.58/106.80  Found (fun (x00:(P1 Xx))=> x00) as proof of (P2 Xx)
% 106.58/106.80  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 106.58/106.80  Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 106.61/106.80  Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 106.61/106.80  Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 106.61/106.80  Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.61/106.80  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 106.61/106.80  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 106.61/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 106.61/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 106.61/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 106.61/106.80  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 106.61/106.80  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 106.61/106.80  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 106.61/106.80  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 106.61/106.80  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 106.61/106.80  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 106.61/106.80  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 106.61/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 106.61/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 106.61/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 106.61/106.80  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 106.61/106.80  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 106.61/106.80  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 106.61/106.80  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 106.61/106.80  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 106.61/106.80  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 106.61/106.80  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 106.61/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 106.61/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 106.61/106.80  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 123.35/123.56  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 123.35/123.56  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 123.35/123.56  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 123.35/123.56  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 123.35/123.56  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 123.35/123.56  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 123.35/123.56  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 123.35/123.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 123.35/123.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 123.35/123.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 123.35/123.56  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 123.35/123.56  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 123.35/123.56  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 123.35/123.56  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 123.35/123.56  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 123.35/123.56  Found x2:(P1 Xx)
% 123.35/123.56  Found (fun (x2:(P1 Xx))=> x2) as proof of (P1 Xx)
% 123.35/123.56  Found (fun (x2:(P1 Xx))=> x2) as proof of (P2 Xx)
% 123.35/123.56  Found x2:(P1 b)
% 123.35/123.56  Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 123.35/123.56  Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 123.35/123.56  Found x2:(P1 b)
% 123.35/123.56  Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 123.35/123.56  Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 123.35/123.56  Found x2:(P1 Xx)
% 123.35/123.56  Found (fun (x2:(P1 Xx))=> x2) as proof of (P1 Xx)
% 123.35/123.56  Found (fun (x2:(P1 Xx))=> x2) as proof of (P2 Xx)
% 123.35/123.56  Found x2:(P1 b)
% 123.35/123.56  Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 123.35/123.56  Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 123.35/123.56  Found x2:(P1 Xx)
% 123.35/123.56  Found (fun (x2:(P1 Xx))=> x2) as proof of (P1 Xx)
% 123.35/123.56  Found (fun (x2:(P1 Xx))=> x2) as proof of (P2 Xx)
% 123.35/123.56  Found x2:(P0 b)
% 123.35/123.56  Found (fun (x2:(P0 b))=> x2) as proof of (P0 b)
% 123.35/123.56  Found (fun (x2:(P0 b))=> x2) as proof of (P1 b)
% 123.35/123.56  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 123.35/123.56  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 123.35/123.56  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 123.35/123.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 123.35/123.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 123.35/123.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 123.35/123.56  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 123.35/123.56  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 123.35/123.56  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 123.35/123.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 123.35/123.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 123.35/123.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 123.35/123.56  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 123.35/123.56  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 123.35/123.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 123.35/123.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 123.35/123.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 123.35/123.56  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 123.35/123.56  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found x2:(P0 b)
% 123.35/123.56  Found (fun (x2:(P0 b))=> x2) as proof of (P0 b)
% 123.35/123.56  Found (fun (x2:(P0 b))=> x2) as proof of (P1 b)
% 123.35/123.56  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 123.35/123.56  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 123.35/123.56  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 123.35/123.56  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 123.35/123.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 123.35/123.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 123.35/123.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 125.69/125.95  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 125.69/125.95  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 125.69/125.95  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 125.69/125.95  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 125.69/125.95  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 125.69/125.95  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found x:(P b)
% 125.69/125.95  Instantiate: b0:=b:n
% 125.69/125.95  Found x as proof of (P0 b0)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 125.69/125.95  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found x:(P b)
% 125.69/125.95  Instantiate: b0:=b:n
% 125.69/125.95  Found x as proof of (P0 b0)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 125.69/125.95  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 125.69/125.95  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 125.69/125.95  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 125.69/125.95  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 125.69/125.95  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 125.69/125.95  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 125.69/125.95  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 125.69/125.95  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 125.69/125.95  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 125.69/125.95  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.69/125.95  Found x2:(P0 b)
% 129.32/129.55  Found (fun (x2:(P0 b))=> x2) as proof of (P0 b)
% 129.32/129.55  Found (fun (x2:(P0 b))=> x2) as proof of (P1 b)
% 129.32/129.55  Found x2:(P b0)
% 129.32/129.55  Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 129.32/129.55  Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 129.32/129.55  Found x2:(P b0)
% 129.32/129.55  Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 129.32/129.55  Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 129.32/129.55  Found x:(P Xx)
% 129.32/129.55  Found x as proof of (P0 Xx)
% 129.32/129.55  Found x:(P Xx)
% 129.32/129.55  Found x as proof of (P0 Xx)
% 129.32/129.55  Found x2:(P0 b)
% 129.32/129.55  Found (fun (x2:(P0 b))=> x2) as proof of (P0 b)
% 129.32/129.55  Found (fun (x2:(P0 b))=> x2) as proof of (P1 b)
% 129.32/129.55  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 129.32/129.55  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 129.32/129.55  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 129.32/129.55  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 129.32/129.55  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 129.32/129.55  Found x:(P0 b0)
% 129.32/129.55  Instantiate: b0:=Xx:n
% 129.32/129.55  Found (fun (x:(P0 b0))=> x) as proof of (P0 Xx)
% 129.32/129.55  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 Xx))
% 129.32/129.55  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 129.32/129.55  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 129.32/129.55  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 129.32/129.55  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 129.32/129.55  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 129.32/129.55  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 129.32/129.55  Found x:(P0 b0)
% 129.32/129.55  Instantiate: b0:=Xx:n
% 129.32/129.55  Found (fun (x:(P0 b0))=> x) as proof of (P0 Xx)
% 129.32/129.55  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 Xx))
% 129.32/129.55  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 129.32/129.55  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 129.32/129.55  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 129.32/129.55  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 129.32/129.55  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 129.32/129.55  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 129.32/129.55  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 129.32/129.55  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 129.32/129.55  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 129.32/129.55  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 129.32/129.55  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 129.32/129.55  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 129.32/129.55  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 129.32/129.55  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 129.32/129.55  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found x:(P0 b)
% 129.32/129.55  Instantiate: b0:=b:n
% 129.32/129.55  Found (fun (x:(P0 b))=> x) as proof of (P0 b0)
% 129.32/129.55  Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 b0))
% 129.32/129.55  Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of (P b0)
% 129.32/129.55  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 129.32/129.55  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 129.32/129.55  Found x:(P0 b)
% 129.32/129.55  Instantiate: b0:=b:n
% 129.32/129.55  Found (fun (x:(P0 b))=> x) as proof of (P0 b0)
% 129.32/129.55  Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 b0))
% 129.32/129.55  Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of (P b0)
% 129.32/129.55  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 129.32/129.55  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 129.32/129.55  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 129.32/129.55  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 129.32/129.55  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 129.32/129.55  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 129.32/129.55  Found (eq_ref0 b1) as proof of (((eq n) b1) Xx)
% 129.32/129.55  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 129.32/129.55  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 129.32/129.55  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 137.41/137.61  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 137.41/137.61  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 137.41/137.61  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 137.41/137.61  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 137.41/137.61  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 137.41/137.61  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 137.41/137.61  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 137.41/137.61  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 137.41/137.61  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 137.41/137.61  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 137.41/137.61  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 137.41/137.61  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 137.41/137.61  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 137.41/137.61  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 137.41/137.61  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 137.41/137.61  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 137.41/137.61  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 137.41/137.61  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 137.41/137.61  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 137.41/137.61  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 137.41/137.61  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 137.41/137.61  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 137.41/137.61  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 137.41/137.61  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 137.41/137.61  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 137.41/137.61  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 137.41/137.61  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 137.41/137.61  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 137.41/137.61  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 137.41/137.61  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 137.41/137.61  Found x2:(P Xx)
% 137.41/137.61  Found (fun (x2:(P Xx))=> x2) as proof of (P Xx)
% 137.41/137.61  Found (fun (x2:(P Xx))=> x2) as proof of (P0 Xx)
% 137.41/137.61  Found x2:(P Xx)
% 137.41/137.61  Found (fun (x2:(P Xx))=> x2) as proof of (P Xx)
% 137.41/137.61  Found (fun (x2:(P Xx))=> x2) as proof of (P0 Xx)
% 137.41/137.61  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 137.41/137.61  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 137.41/137.61  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 137.41/137.61  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 137.41/137.61  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 137.41/137.61  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 137.41/137.61  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 137.41/137.61  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 137.41/137.61  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 137.41/137.61  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 137.41/137.61  Found x:(P0 ((c_plus Xx) c0))
% 137.41/137.61  Found (fun (x:(P0 ((c_plus Xx) c0)))=> x) as proof of (P0 b)
% 137.41/137.61  Found (fun (P0:(n->Prop)) (x:(P0 ((c_plus Xx) c0)))=> x) as proof of ((P0 ((c_plus Xx) c0))->(P0 b))
% 137.41/137.61  Found (fun (P0:(n->Prop)) (x:(P0 ((c_plus Xx) c0)))=> x) as proof of (P ((c_plus Xx) c0))
% 137.41/137.61  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 137.41/137.61  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 137.41/137.61  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 137.41/137.61  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 137.41/137.61  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 137.41/137.61  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 137.41/137.61  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 137.41/137.61  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 137.41/137.61  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 137.41/137.61  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 137.41/137.61  Found x:(P0 ((c_plus Xx) c0))
% 137.41/137.61  Found (fun (x:(P0 ((c_plus Xx) c0)))=> x) as proof of (P0 b)
% 137.41/137.61  Found (fun (P0:(n->Prop)) (x:(P0 ((c_plus Xx) c0)))=> x) as proof of ((P0 ((c_plus Xx) c0))->(P0 b))
% 137.41/137.61  Found (fun (P0:(n->Prop)) (x:(P0 ((c_plus Xx) c0)))=> x) as proof of (P ((c_plus Xx) c0))
% 137.41/137.61  Found x:(P Xx)
% 137.41/137.61  Instantiate: b0:=Xx:n
% 137.41/137.61  Found x as proof of (P0 b0)
% 137.41/137.61  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 137.41/137.61  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 137.41/137.61  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 137.41/137.61  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 137.41/137.61  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 137.41/137.61  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 137.41/137.61  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 137.41/137.61  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 145.23/145.43  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 145.23/145.43  Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 145.23/145.43  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 145.23/145.43  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 145.23/145.43  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 145.23/145.43  Found x:(P Xx)
% 145.23/145.43  Instantiate: b0:=Xx:n
% 145.23/145.43  Found x as proof of (P0 b0)
% 145.23/145.43  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 145.23/145.43  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 145.23/145.43  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 145.23/145.43  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 145.23/145.43  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 145.23/145.43  Found x3:(P Xx)
% 145.23/145.43  Found (fun (x3:(P Xx))=> x3) as proof of (P Xx)
% 145.23/145.43  Found (fun (x3:(P Xx))=> x3) as proof of (P0 Xx)
% 145.23/145.43  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 145.23/145.43  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 145.23/145.43  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found x3:(P Xx)
% 145.23/145.43  Found (fun (x3:(P Xx))=> x3) as proof of (P Xx)
% 145.23/145.43  Found (fun (x3:(P Xx))=> x3) as proof of (P0 Xx)
% 145.23/145.43  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 145.23/145.43  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 145.23/145.43  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found x:(P b)
% 145.23/145.43  Found x as proof of (P0 ((c_plus Xx) c0))
% 145.23/145.43  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 145.23/145.43  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 145.23/145.43  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 145.23/145.43  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 145.23/145.43  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 145.23/145.43  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 145.23/145.43  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 145.23/145.43  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 145.23/145.43  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 145.23/145.43  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 145.23/145.43  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 145.23/145.43  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 145.23/145.43  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 145.23/145.43  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 145.23/145.43  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 145.23/145.43  Found x:(P b)
% 145.23/145.43  Instantiate: b0:=b:n
% 145.23/145.43  Found x as proof of (P0 b0)
% 145.23/145.43  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 145.23/145.43  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 145.23/145.43  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 145.23/145.43  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 161.63/161.92  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 161.63/161.92  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 161.63/161.92  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 161.63/161.92  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 161.63/161.92  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 161.63/161.92  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 161.63/161.92  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 161.63/161.92  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 161.63/161.92  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 161.63/161.92  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b00)
% 161.63/161.92  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 161.63/161.92  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 161.63/161.92  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 161.63/161.92  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 161.63/161.92  Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 161.63/161.92  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 161.63/161.92  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 161.63/161.92  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 161.63/161.92  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 161.63/161.92  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 161.63/161.92  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 161.63/161.92  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 161.63/161.92  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 161.63/161.92  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 161.63/161.92  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 161.63/161.92  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 161.63/161.92  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 161.63/161.92  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 161.63/161.92  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 161.63/161.92  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b00)
% 161.63/161.92  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 161.63/161.92  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 161.63/161.92  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 161.63/161.92  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 161.63/161.92  Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 161.63/161.92  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 161.63/161.92  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 161.63/161.92  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 161.63/161.92  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 161.63/161.92  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 161.63/161.92  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 161.63/161.92  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 161.63/161.92  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 161.63/161.92  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 161.63/161.92  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 161.63/161.92  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 161.63/161.92  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 161.63/161.92  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 161.63/161.92  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 161.63/161.92  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 161.63/161.92  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 161.63/161.92  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 161.63/161.92  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 161.63/161.92  Found x0:(P2 b0)
% 161.63/161.92  Instantiate: b0:=((c_plus Xx) c0):n
% 161.63/161.92  Found (fun (x0:(P2 b0))=> x0) as proof of (P2 b)
% 161.63/161.92  Found (fun (P2:(n->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 b))
% 161.63/161.92  Found (fun (P2:(n->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 161.63/161.92  Found x0:(P1 Xx)
% 161.63/161.92  Instantiate: b0:=Xx:n
% 161.63/161.92  Found x0 as proof of (P2 b0)
% 161.63/161.92  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 161.63/161.92  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 161.63/161.92  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 161.63/161.92  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 161.63/161.92  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 161.63/161.92  Found x2:(P Xx)
% 161.63/161.92  Found (fun (x2:(P Xx))=> x2) as proof of (P Xx)
% 161.63/161.92  Found (fun (x2:(P Xx))=> x2) as proof of (P0 Xx)
% 161.63/161.92  Found x2:(P b0)
% 161.63/161.92  Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 161.63/161.92  Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 161.63/161.92  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 161.63/161.92  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 161.63/161.92  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 161.63/161.92  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 161.63/161.92  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 161.63/161.92  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 161.63/161.92  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 161.63/161.92  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 161.63/161.92  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 161.63/161.92  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.53/163.76  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.53/163.76  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.53/163.76  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.53/163.76  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.53/163.76  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.53/163.76  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.53/163.76  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.53/163.76  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.53/163.76  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.53/163.76  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.53/163.76  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.53/163.76  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.53/163.76  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 163.53/163.76  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 163.53/163.76  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 163.53/163.76  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 163.53/163.76  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.53/163.76  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 163.53/163.76  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 163.53/163.76  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 163.53/163.76  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 163.53/163.76  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 163.53/163.76  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 170.64/170.86  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 170.64/170.86  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 170.64/170.86  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 170.64/170.86  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 170.64/170.86  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 170.64/170.86  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 170.64/170.86  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 170.64/170.86  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 170.64/170.86  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 170.64/170.86  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 170.64/170.86  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 170.64/170.86  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 170.64/170.86  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 170.64/170.86  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 170.64/170.86  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 170.64/170.86  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 170.64/170.86  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 170.64/170.86  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 170.64/170.86  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 170.64/170.86  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 170.64/170.86  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 170.64/170.86  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 170.64/170.86  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 170.64/170.86  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 170.64/170.86  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 170.64/170.86  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 170.64/170.86  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 170.64/170.86  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 170.64/170.86  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 170.64/170.86  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 170.64/170.86  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 170.64/170.86  Found x2:(P1 Xx)
% 170.64/170.86  Found (fun (x2:(P1 Xx))=> x2) as proof of (P1 Xx)
% 170.64/170.86  Found (fun (x2:(P1 Xx))=> x2) as proof of (P2 Xx)
% 170.64/170.86  Found x2:(P1 b)
% 170.64/170.86  Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 170.64/170.86  Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 170.64/170.86  Found x2:(P1 Xx)
% 170.64/170.86  Found (fun (x2:(P1 Xx))=> x2) as proof of (P1 Xx)
% 170.64/170.86  Found (fun (x2:(P1 Xx))=> x2) as proof of (P2 Xx)
% 170.64/170.86  Found x2:(P b0)
% 170.64/170.86  Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 170.64/170.86  Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 170.64/170.86  Found x2:(P b0)
% 170.64/170.86  Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 170.64/170.86  Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 170.64/170.86  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 170.64/170.86  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 170.64/170.86  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 170.64/170.86  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 170.64/170.86  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 170.64/170.86  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 170.64/170.86  Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 170.64/170.86  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 170.64/170.86  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 170.64/170.86  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 170.64/170.86  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 170.64/170.86  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 170.64/170.86  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 170.64/170.86  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 170.64/170.86  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 170.64/170.86  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 170.64/170.86  Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 170.64/170.86  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 170.64/170.86  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 170.64/170.86  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 170.64/170.86  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 170.64/170.86  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 170.64/170.86  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 170.64/170.86  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 170.64/170.86  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 170.64/170.86  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 170.64/170.86  Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 170.64/170.86  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 170.64/170.86  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 170.64/170.86  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 170.64/170.86  Found x:(P b)
% 170.64/170.86  Instantiate: b0:=b:n
% 170.64/170.86  Found x as proof of (P0 b0)
% 170.64/170.86  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 170.64/170.86  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 170.64/170.86  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 170.64/170.86  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 173.42/173.62  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.42/173.62  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 173.42/173.62  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.42/173.62  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 173.42/173.62  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.42/173.62  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 173.42/173.62  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.42/173.62  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found eq_ref00:=(eq_ref0 ((c_plus b) c0)):(((eq n) ((c_plus b) c0)) ((c_plus b) c0))
% 173.42/173.62  Found (eq_ref0 ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 173.42/173.62  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 173.42/173.62  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 173.42/173.62  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 173.42/173.62  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.42/173.62  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found eq_ref00:=(eq_ref0 ((c_plus b) c0)):(((eq n) ((c_plus b) c0)) ((c_plus b) c0))
% 173.42/173.62  Found (eq_ref0 ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 173.42/173.62  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 173.42/173.62  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 173.42/173.62  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 173.42/173.62  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.42/173.62  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.42/173.62  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.42/173.62  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 173.42/173.62  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 173.42/173.62  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 173.42/173.62  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 173.42/173.62  Found x:(P0 Xx)
% 173.42/173.62  Found (fun (x:(P0 Xx))=> x) as proof of (P0 Xx)
% 173.42/173.62  Found (fun (P0:(n->Prop)) (x:(P0 Xx))=> x) as proof of ((P0 Xx)->(P0 Xx))
% 173.42/173.62  Found (fun (P0:(n->Prop)) (x:(P0 Xx))=> x) as proof of (P Xx)
% 173.42/173.62  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.42/173.62  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 177.28/177.49  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 177.28/177.49  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 177.28/177.49  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 177.28/177.49  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 177.28/177.49  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 177.28/177.49  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 177.28/177.49  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 177.28/177.49  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 177.28/177.49  Found x:(P0 Xx)
% 177.28/177.49  Found (fun (x:(P0 Xx))=> x) as proof of (P0 Xx)
% 177.28/177.49  Found (fun (P0:(n->Prop)) (x:(P0 Xx))=> x) as proof of ((P0 Xx)->(P0 Xx))
% 177.28/177.49  Found (fun (P0:(n->Prop)) (x:(P0 Xx))=> x) as proof of (P Xx)
% 177.28/177.49  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 177.28/177.49  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found eq_ref00:=(eq_ref0 ((c_plus b) c0)):(((eq n) ((c_plus b) c0)) ((c_plus b) c0))
% 177.28/177.49  Found (eq_ref0 ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 177.28/177.49  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 177.28/177.49  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 177.28/177.49  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 177.28/177.49  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 177.28/177.49  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 177.28/177.49  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 177.28/177.49  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 177.28/177.49  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 177.28/177.49  Found x:(P0 b0)
% 177.28/177.49  Instantiate: b0:=Xx:n
% 177.28/177.49  Found (fun (x:(P0 b0))=> x) as proof of (P0 Xx)
% 177.28/177.49  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 Xx))
% 177.28/177.49  Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 177.28/177.49  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 177.28/177.49  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found eq_ref00:=(eq_ref0 ((c_plus b) c0)):(((eq n) ((c_plus b) c0)) ((c_plus b) c0))
% 177.28/177.49  Found (eq_ref0 ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 177.28/177.49  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 177.28/177.49  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 177.28/177.49  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 177.28/177.49  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 177.28/177.49  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 177.28/177.49  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 177.28/177.49  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 177.28/177.49  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 177.28/177.49  Found x:(P0 b)
% 177.28/177.49  Instantiate: b0:=b:n
% 177.28/177.49  Found (fun (x:(P0 b))=> x) as proof of (P0 b0)
% 177.28/177.49  Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 b0))
% 177.28/177.49  Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of (P b0)
% 177.28/177.49  Found eq_ref00:=(eq_ref0 ((c_plus b) c0)):(((eq n) ((c_plus b) c0)) ((c_plus b) c0))
% 177.28/177.49  Found (eq_ref0 ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 177.28/177.49  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 177.28/177.49  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 177.28/177.49  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 177.28/177.49  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 177.28/177.49  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 177.28/177.49  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.28/177.49  Found eq_ref00:=(eq_ref0 ((c_plus b) c0)):(((eq n) ((c_plus b) c0)) ((c_plus b) c0))
% 177.28/177.49  Found (eq_ref0 ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 177.28/177.49  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 177.28/177.49  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 177.28/177.49  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 179.71/179.93  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 179.71/179.93  Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 179.71/179.93  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 179.71/179.93  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 179.71/179.93  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 179.71/179.93  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 179.71/179.93  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 179.71/179.93  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 179.71/179.93  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 179.71/179.93  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 179.71/179.93  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 179.71/179.93  Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 179.71/179.93  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 179.71/179.93  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 179.71/179.93  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 179.71/179.93  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 179.71/179.93  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 179.71/179.93  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 179.71/179.93  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 179.71/179.93  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 179.71/179.93  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 179.71/179.93  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 179.71/179.93  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 179.71/179.93  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 179.71/179.93  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 179.71/179.93  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 179.71/179.93  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 179.71/179.93  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 179.71/179.93  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found x3:(P b)
% 179.71/179.93  Found (fun (x3:(P b))=> x3) as proof of (P b)
% 179.71/179.93  Found (fun (x3:(P b))=> x3) as proof of (P0 b)
% 179.71/179.93  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 179.71/179.93  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 179.71/179.93  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 179.71/179.93  Found x3:(P b)
% 179.71/179.93  Found (fun (x3:(P b))=> x3) as proof of (P b)
% 179.71/179.93  Found (fun (x3:(P b))=> x3) as proof of (P0 b)
% 179.71/179.93  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 179.71/179.93  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 179.71/179.93  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 179.71/179.93  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 189.91/190.15  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 189.91/190.15  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 189.91/190.15  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 189.91/190.15  Found x:(P Xx)
% 189.91/190.15  Found x as proof of (P0 Xx)
% 189.91/190.15  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 189.91/190.15  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 189.91/190.15  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 189.91/190.15  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 189.91/190.15  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 189.91/190.15  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 189.91/190.15  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 189.91/190.15  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 189.91/190.15  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 189.91/190.15  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 189.91/190.15  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 189.91/190.15  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 189.91/190.15  Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 189.91/190.15  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 189.91/190.15  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 189.91/190.15  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 189.91/190.15  Found x:(P1 b)
% 189.91/190.15  Instantiate: b0:=b:n
% 189.91/190.15  Found x as proof of (P2 b0)
% 189.91/190.15  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 189.91/190.15  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found x3:(P Xx)
% 189.91/190.15  Found (fun (x3:(P Xx))=> x3) as proof of (P Xx)
% 189.91/190.15  Found (fun (x3:(P Xx))=> x3) as proof of (P0 Xx)
% 189.91/190.15  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 189.91/190.15  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 189.91/190.15  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 189.91/190.15  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 189.91/190.15  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 189.91/190.15  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 189.91/190.15  Found x0:(P1 b)
% 189.91/190.15  Instantiate: b0:=b:n
% 189.91/190.15  Found x0 as proof of (P2 b0)
% 189.91/190.15  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 189.91/190.15  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found x0:(P1 ((c_plus Xx) c0))
% 189.91/190.15  Instantiate: b0:=((c_plus Xx) c0):n
% 189.91/190.15  Found x0 as proof of (P2 b0)
% 189.91/190.15  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 189.91/190.15  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 189.91/190.15  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 189.91/190.15  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 189.91/190.15  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 189.91/190.15  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 189.91/190.15  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 189.91/190.15  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 189.91/190.15  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 189.91/190.15  Found (eq_ref0 b00) as proof of (((eq n) b00) Xx)
% 189.91/190.15  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 189.91/190.15  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 189.91/190.15  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 189.91/190.15  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 189.91/190.15  Found (eq_ref0 b) as proof of (((eq n) b) b00)
% 189.91/190.15  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 189.91/190.15  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 189.91/190.15  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 189.91/190.15  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 189.91/190.15  Found (eq_ref0 b00) as proof of (((eq n) b00) Xx)
% 189.91/190.15  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 189.91/190.15  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 189.91/190.15  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 196.59/196.79  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 196.59/196.79  Found (eq_ref0 b) as proof of (((eq n) b) b00)
% 196.59/196.79  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 196.59/196.79  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 196.59/196.79  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 196.59/196.79  Found x:(P1 Xx)
% 196.59/196.79  Instantiate: a:=Xx:n
% 196.59/196.79  Found x as proof of (P2 a)
% 196.59/196.79  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 196.59/196.79  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found x0:(P2 b)
% 196.59/196.79  Instantiate: b0:=b:n
% 196.59/196.79  Found (fun (x0:(P2 b))=> x0) as proof of (P2 b0)
% 196.59/196.79  Found (fun (P2:(n->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 b0))
% 196.59/196.79  Found (fun (P2:(n->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b0)
% 196.59/196.79  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 196.59/196.79  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 196.59/196.79  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 196.59/196.79  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 196.59/196.79  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 196.59/196.79  Found x0:(P2 b0)
% 196.59/196.79  Instantiate: b0:=Xx:n
% 196.59/196.79  Found (fun (x0:(P2 b0))=> x0) as proof of (P2 Xx)
% 196.59/196.79  Found (fun (P2:(n->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 Xx))
% 196.59/196.79  Found (fun (P2:(n->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 196.59/196.79  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 196.59/196.79  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 196.59/196.79  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 196.59/196.79  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 196.59/196.79  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 196.59/196.79  Found x0:(P2 b0)
% 196.59/196.79  Instantiate: b0:=Xx:n
% 196.59/196.79  Found (fun (x0:(P2 b0))=> x0) as proof of (P2 b)
% 196.59/196.79  Found (fun (P2:(n->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 b))
% 196.59/196.79  Found (fun (P2:(n->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 196.59/196.79  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 196.59/196.79  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 196.59/196.79  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 196.59/196.79  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 196.59/196.79  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 196.59/196.79  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 196.59/196.79  Found (eq_ref0 a) as proof of (((eq n) a) b)
% 196.59/196.79  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 196.59/196.79  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 196.59/196.79  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 196.59/196.79  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 196.59/196.79  Found (eq_ref0 a) as proof of (((eq n) a) b)
% 196.59/196.79  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 196.59/196.79  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 196.59/196.79  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 196.59/196.79  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 196.59/196.79  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 196.59/196.79  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found x00:(P1 a)
% 196.59/196.79  Found (fun (x00:(P1 a))=> x00) as proof of (P1 a)
% 196.59/196.79  Found (fun (x00:(P1 a))=> x00) as proof of (P2 a)
% 196.59/196.79  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 196.59/196.79  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 196.59/196.79  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 196.59/196.79  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 196.59/196.79  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 196.59/196.79  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 196.59/196.79  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 196.59/196.79  Found x:(P b)
% 196.59/196.79  Instantiate: a:=b:n
% 196.59/196.79  Found x as proof of (P0 a)
% 196.59/196.79  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 196.59/196.79  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 196.59/196.79  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 196.59/196.79  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 196.59/196.79  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 196.59/196.79  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 204.10/204.34  Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 204.10/204.34  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 204.10/204.34  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 204.10/204.34  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 204.10/204.34  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 204.10/204.34  Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 204.10/204.34  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 204.10/204.34  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 204.10/204.34  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 204.10/204.34  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 204.10/204.34  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b00)
% 204.10/204.34  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 204.10/204.34  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 204.10/204.34  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 204.10/204.34  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 204.10/204.34  Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 204.10/204.34  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 204.10/204.34  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 204.10/204.34  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 204.10/204.34  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 204.10/204.34  Found (eq_ref0 b1) as proof of (((eq n) b1) Xx)
% 204.10/204.34  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 204.10/204.34  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 204.10/204.34  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 204.10/204.34  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 204.10/204.34  Found (eq_ref0 b0) as proof of (((eq n) b0) b1)
% 204.10/204.34  Found ((eq_ref n) b0) as proof of (((eq n) b0) b1)
% 204.10/204.34  Found ((eq_ref n) b0) as proof of (((eq n) b0) b1)
% 204.10/204.34  Found ((eq_ref n) b0) as proof of (((eq n) b0) b1)
% 204.10/204.34  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 204.10/204.34  Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 204.10/204.34  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 204.10/204.34  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 204.10/204.34  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 204.10/204.34  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 204.10/204.34  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 204.10/204.34  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 204.10/204.34  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 204.10/204.34  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 204.10/204.34  Found x2:(P b0)
% 204.10/204.34  Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 204.10/204.34  Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 204.10/204.34  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 204.10/204.34  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 204.10/204.34  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 204.10/204.34  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.10/204.34  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.10/204.34  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.10/204.34  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 204.10/204.34  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 204.10/204.34  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 204.10/204.34  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.10/204.34  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.10/204.34  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.10/204.34  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 204.10/204.34  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 204.10/204.34  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 204.10/204.34  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.10/204.34  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.10/204.34  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.10/204.34  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 204.10/204.34  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 204.10/204.34  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 204.10/204.34  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 204.10/204.34  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.10/204.34  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.10/204.34  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.99/206.24  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 205.99/206.24  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.99/206.24  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 205.99/206.24  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.99/206.24  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 205.99/206.24  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.99/206.24  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 205.99/206.24  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 205.99/206.24  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 205.99/206.24  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 205.99/206.24  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.99/206.24  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 205.99/206.24  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.99/206.24  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 205.99/206.24  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.99/206.24  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 205.99/206.24  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 205.99/206.24  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 205.99/206.24  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 205.99/206.24  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.99/206.24  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 205.99/206.24  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 205.99/206.24  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 205.99/206.24  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 210.90/211.13  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 210.90/211.13  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 210.90/211.13  Found x:(P1 b)
% 210.90/211.13  Found x as proof of (P2 ((c_plus Xx) c0))
% 210.90/211.13  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 210.90/211.13  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 210.90/211.13  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 210.90/211.13  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 210.90/211.13  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 210.90/211.13  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 210.90/211.13  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 210.90/211.13  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 210.90/211.13  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 210.90/211.13  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 210.90/211.13  Found x2:(P b0)
% 210.90/211.13  Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 210.90/211.13  Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 210.90/211.13  Found x2:(P b0)
% 210.90/211.13  Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 210.90/211.13  Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 210.90/211.13  Found x00:(P1 Xx)
% 210.90/211.13  Found (fun (x00:(P1 Xx))=> x00) as proof of (P1 Xx)
% 210.90/211.13  Found (fun (x00:(P1 Xx))=> x00) as proof of (P2 Xx)
% 210.90/211.13  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 210.90/211.13  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 210.90/211.13  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 210.90/211.13  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 210.90/211.13  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 210.90/211.13  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 210.90/211.13  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 210.90/211.13  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 210.90/211.13  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 210.90/211.13  Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 210.90/211.13  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 210.90/211.13  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 210.90/211.13  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 210.90/211.13  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 210.90/211.13  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found x:(P2 b0)
% 210.90/211.13  Instantiate: b0:=((c_plus Xx) c0):n
% 210.90/211.13  Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 210.90/211.13  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 210.90/211.13  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 210.90/211.13  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 210.90/211.13  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found x:(P2 b0)
% 210.90/211.13  Instantiate: b0:=((c_plus Xx) c0):n
% 210.90/211.13  Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 210.90/211.13  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 210.90/211.13  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 210.90/211.13  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 210.90/211.13  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found x:(P2 b0)
% 210.90/211.13  Instantiate: b0:=((c_plus Xx) c0):n
% 210.90/211.13  Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 210.90/211.13  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 210.90/211.13  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 210.90/211.13  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 210.90/211.13  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 210.90/211.13  Found x:(P2 b0)
% 210.90/211.13  Instantiate: b0:=((c_plus Xx) c0):n
% 210.90/211.13  Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 210.90/211.13  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 210.90/211.13  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 210.90/211.13  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 215.06/215.27  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found x:(P2 b0)
% 215.06/215.27  Instantiate: b0:=((c_plus Xx) c0):n
% 215.06/215.27  Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 215.06/215.27  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 215.06/215.27  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 215.06/215.27  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 215.06/215.27  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 215.06/215.27  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 215.06/215.27  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 215.06/215.27  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 215.06/215.27  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 215.06/215.27  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 215.06/215.27  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 215.06/215.27  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 215.06/215.27  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 215.06/215.27  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 215.06/215.27  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 215.06/215.27  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 215.06/215.27  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 215.06/215.27  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 215.06/215.27  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 215.06/215.27  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 215.06/215.27  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 215.06/215.27  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 215.06/215.27  Found x:(P0 Xx)
% 215.06/215.27  Found (fun (x:(P0 Xx))=> x) as proof of (P0 Xx)
% 215.06/215.27  Found (fun (P0:(n->Prop)) (x:(P0 Xx))=> x) as proof of ((P0 Xx)->(P0 Xx))
% 215.06/215.27  Found (fun (P0:(n->Prop)) (x:(P0 Xx))=> x) as proof of (P Xx)
% 215.06/215.27  Found x:(P1 Xx)
% 215.06/215.27  Instantiate: b0:=Xx:n
% 215.06/215.27  Found x as proof of (P2 b0)
% 215.06/215.27  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 215.06/215.27  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found x:(P1 Xx)
% 215.06/215.27  Instantiate: b0:=Xx:n
% 215.06/215.27  Found x as proof of (P2 b0)
% 215.06/215.27  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 215.06/215.27  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found x:(P1 Xx)
% 215.06/215.27  Instantiate: b0:=Xx:n
% 215.06/215.27  Found x as proof of (P2 b0)
% 215.06/215.27  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 215.06/215.27  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found x:(P1 Xx)
% 215.06/215.27  Instantiate: b0:=Xx:n
% 215.06/215.27  Found x as proof of (P2 b0)
% 215.06/215.27  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 215.06/215.27  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found x:(P1 Xx)
% 215.06/215.27  Instantiate: b0:=Xx:n
% 215.06/215.27  Found x as proof of (P2 b0)
% 215.06/215.27  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 215.06/215.27  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.06/215.27  Found x:(P1 b)
% 215.06/215.27  Instantiate: b0:=b:n
% 215.06/215.27  Found x as proof of (P2 b0)
% 215.06/215.27  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 215.06/215.27  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 220.49/220.75  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 220.49/220.75  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 220.49/220.75  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 220.49/220.75  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 220.49/220.75  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 220.49/220.75  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 220.49/220.75  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 220.49/220.75  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 220.49/220.75  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 220.49/220.75  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 220.49/220.75  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 220.49/220.75  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 220.49/220.75  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 220.49/220.75  Found x:(P0 b)
% 220.49/220.75  Instantiate: b0:=b:n
% 220.49/220.75  Found x as proof of (P1 b0)
% 220.49/220.75  Found eq_ref00:=(eq_ref0 ((c_plus b) c0)):(((eq n) ((c_plus b) c0)) ((c_plus b) c0))
% 220.49/220.75  Found (eq_ref0 ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 220.49/220.75  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 220.49/220.75  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 220.49/220.75  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 220.49/220.75  Found x:(P1 b)
% 220.49/220.75  Found x as proof of (P2 Xx)
% 220.49/220.75  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 220.49/220.75  Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 220.49/220.75  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 220.49/220.75  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 220.49/220.75  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 220.49/220.75  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 220.49/220.75  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 220.49/220.75  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 220.49/220.75  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 220.49/220.75  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 220.49/220.75  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 220.49/220.75  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b00)
% 220.49/220.75  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 220.49/220.75  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 220.49/220.75  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 220.49/220.75  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 220.49/220.75  Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 220.49/220.75  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 220.49/220.75  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 220.49/220.75  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 220.49/220.75  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 220.49/220.75  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 220.49/220.75  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 220.49/220.75  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 220.49/220.75  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 220.49/220.75  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 220.49/220.75  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 220.49/220.75  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.49/220.75  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.49/220.75  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.49/220.75  Found x3:(P b)
% 220.49/220.75  Found (fun (x3:(P b))=> x3) as proof of (P b)
% 220.49/220.75  Found (fun (x3:(P b))=> x3) as proof of (P0 b)
% 220.49/220.75  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 220.49/220.75  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 220.49/220.75  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 220.49/220.75  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 220.49/220.75  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 220.49/220.75  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 220.49/220.75  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 220.49/220.75  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.49/220.75  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.49/220.75  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.49/220.75  Found x3:(P b)
% 220.49/220.75  Found (fun (x3:(P b))=> x3) as proof of (P b)
% 220.49/220.75  Found (fun (x3:(P b))=> x3) as proof of (P0 b)
% 220.49/220.75  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 220.49/220.75  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 220.49/220.75  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 220.49/220.75  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 220.49/220.75  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 220.49/220.75  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 220.49/220.75  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 220.49/220.75  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.49/220.75  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.49/220.75  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.49/220.75  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 220.49/220.75  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 226.31/226.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 226.31/226.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 226.31/226.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 226.31/226.56  Found x:(P0 b)
% 226.31/226.56  Instantiate: b0:=b:n
% 226.31/226.56  Found x as proof of (P1 b0)
% 226.31/226.56  Found eq_ref00:=(eq_ref0 ((c_plus b) c0)):(((eq n) ((c_plus b) c0)) ((c_plus b) c0))
% 226.31/226.56  Found (eq_ref0 ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 226.31/226.56  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 226.31/226.56  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 226.31/226.56  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 226.31/226.56  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 226.31/226.56  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 226.31/226.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 226.31/226.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 226.31/226.56  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 226.31/226.56  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 226.31/226.56  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 226.31/226.56  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 226.31/226.58  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 226.31/226.58  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 226.31/226.58  Found x:(P b0)
% 226.31/226.58  Instantiate: b1:=b0:n
% 226.31/226.58  Found x as proof of (P0 b1)
% 226.31/226.58  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 226.31/226.58  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 226.31/226.58  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 226.31/226.58  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 226.31/226.58  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 226.31/226.58  Found x00:(P1 a)
% 226.31/226.58  Found (fun (x00:(P1 a))=> x00) as proof of (P1 a)
% 226.31/226.58  Found (fun (x00:(P1 a))=> x00) as proof of (P2 a)
% 226.31/226.58  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 226.31/226.58  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 226.31/226.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 226.31/226.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 226.31/226.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 226.31/226.58  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 226.31/226.58  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 226.31/226.58  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 226.31/226.58  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 226.31/226.58  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 226.31/226.58  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 226.31/226.58  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 226.31/226.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 226.31/226.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 226.31/226.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 226.31/226.58  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 226.31/226.58  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 226.31/226.58  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 226.31/226.58  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 226.31/226.58  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 226.31/226.58  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 226.31/226.58  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 226.31/226.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 226.31/226.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 226.31/226.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 226.31/226.58  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 226.31/226.58  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 226.31/226.58  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 226.31/226.58  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 226.31/226.58  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 226.31/226.58  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 226.31/226.58  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 226.31/226.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 226.31/226.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 226.31/226.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 226.31/226.58  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 226.31/226.58  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 226.31/226.58  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 226.31/226.58  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 226.31/226.58  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 226.31/226.58  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 226.31/226.58  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 226.31/226.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 226.31/226.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 226.31/226.58  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 233.86/234.14  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 233.86/234.14  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 233.86/234.14  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 233.86/234.14  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 233.86/234.14  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 233.86/234.14  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 233.86/234.14  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 233.86/234.14  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 233.86/234.14  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 233.86/234.14  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 233.86/234.14  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 233.86/234.14  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 233.86/234.14  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 233.86/234.14  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 233.86/234.14  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 233.86/234.14  Found x00:(P1 Xx)
% 233.86/234.14  Found (fun (x00:(P1 Xx))=> x00) as proof of (P1 Xx)
% 233.86/234.14  Found (fun (x00:(P1 Xx))=> x00) as proof of (P2 Xx)
% 233.86/234.14  Found x00:(P1 Xx)
% 233.86/234.14  Found (fun (x00:(P1 Xx))=> x00) as proof of (P1 Xx)
% 233.86/234.14  Found (fun (x00:(P1 Xx))=> x00) as proof of (P2 Xx)
% 233.86/234.14  Found x:(P Xx)
% 233.86/234.14  Instantiate: a:=Xx:n
% 233.86/234.14  Found x as proof of (P0 a)
% 233.86/234.14  Found x:(P Xx)
% 233.86/234.14  Instantiate: a:=Xx:n
% 233.86/234.14  Found x as proof of (P0 a)
% 233.86/234.14  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 233.86/234.14  Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 233.86/234.14  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 233.86/234.14  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 233.86/234.14  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 233.86/234.14  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 233.86/234.14  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 233.86/234.14  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 233.86/234.14  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 233.86/234.14  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 233.86/234.14  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 233.86/234.14  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 233.86/234.14  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 233.86/234.14  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 233.86/234.14  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 233.86/234.14  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 233.86/234.14  Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 233.86/234.14  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 233.86/234.14  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 233.86/234.14  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 233.86/234.14  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 233.86/234.14  Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 233.86/234.14  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 233.86/234.14  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 233.86/234.14  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 233.86/234.14  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 233.86/234.14  Found (eq_ref0 b00) as proof of (((eq n) b00) Xx)
% 233.86/234.14  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 233.86/234.14  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 233.86/234.14  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 233.86/234.14  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 233.86/234.14  Found (eq_ref0 b) as proof of (((eq n) b) b00)
% 233.86/234.14  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 233.86/234.14  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 233.86/234.14  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 233.86/234.14  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 233.86/234.14  Found (eq_ref0 b0) as proof of (((eq n) b0) a)
% 233.86/234.14  Found ((eq_ref n) b0) as proof of (((eq n) b0) a)
% 233.86/234.14  Found ((eq_ref n) b0) as proof of (((eq n) b0) a)
% 233.86/234.14  Found ((eq_ref n) b0) as proof of (((eq n) b0) a)
% 233.86/234.14  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 233.86/234.14  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 233.86/234.14  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 233.86/234.14  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 233.86/234.14  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 233.86/234.14  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 233.86/234.14  Found (eq_ref0 b00) as proof of (((eq n) b00) Xx)
% 233.86/234.14  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 233.86/234.14  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 233.86/234.14  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 233.86/234.14  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 233.86/234.14  Found (eq_ref0 b) as proof of (((eq n) b) b00)
% 233.86/234.14  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 233.86/234.14  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 233.86/234.14  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 233.86/234.14  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 233.86/234.14  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 233.86/234.14  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 233.86/234.14  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 233.86/234.14  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 246.85/247.08  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 246.85/247.08  Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 246.85/247.08  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 246.85/247.08  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 246.85/247.08  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 246.85/247.08  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 246.85/247.08  Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 246.85/247.08  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 246.85/247.08  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 246.85/247.08  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 246.85/247.08  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 246.85/247.08  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 246.85/247.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 246.85/247.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 246.85/247.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 246.85/247.08  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 246.85/247.08  Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 246.85/247.08  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 246.85/247.08  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 246.85/247.08  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 246.85/247.08  Found x2:(P3 Xx)
% 246.85/247.08  Found (fun (x2:(P3 Xx))=> x2) as proof of (P3 Xx)
% 246.85/247.08  Found (fun (x2:(P3 Xx))=> x2) as proof of (P4 Xx)
% 246.85/247.08  Found x2:(P3 b)
% 246.85/247.08  Found (fun (x2:(P3 b))=> x2) as proof of (P3 b)
% 246.85/247.08  Found (fun (x2:(P3 b))=> x2) as proof of (P4 b)
% 246.85/247.08  Found x2:(P2 b)
% 246.85/247.08  Found (fun (x2:(P2 b))=> x2) as proof of (P2 b)
% 246.85/247.08  Found (fun (x2:(P2 b))=> x2) as proof of (P3 b)
% 246.85/247.08  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 246.85/247.08  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 246.85/247.08  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 246.85/247.08  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 246.85/247.08  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 246.85/247.08  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 246.85/247.08  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 246.85/247.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 246.85/247.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 246.85/247.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 246.85/247.08  Found x2:(P2 b)
% 246.85/247.08  Found (fun (x2:(P2 b))=> x2) as proof of (P2 b)
% 246.85/247.08  Found (fun (x2:(P2 b))=> x2) as proof of (P3 b)
% 246.85/247.08  Found x00:(P1 b)
% 246.85/247.08  Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 246.85/247.08  Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 246.85/247.08  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 246.85/247.08  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 246.85/247.08  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 246.85/247.08  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 246.85/247.08  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 246.85/247.08  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 246.85/247.08  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 246.85/247.08  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 246.85/247.08  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 246.85/247.08  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 246.85/247.08  Found x00:(P1 ((c_plus Xx) c0))
% 246.85/247.08  Found (fun (x00:(P1 ((c_plus Xx) c0)))=> x00) as proof of (P1 ((c_plus Xx) c0))
% 246.85/247.08  Found (fun (x00:(P1 ((c_plus Xx) c0)))=> x00) as proof of (P2 ((c_plus Xx) c0))
% 246.85/247.08  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 246.85/247.08  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 246.85/247.08  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 246.85/247.08  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 246.85/247.08  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 246.85/247.08  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 246.85/247.08  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 246.85/247.08  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 246.85/247.08  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 246.85/247.08  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 246.85/247.08  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 246.85/247.08  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 246.85/247.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 246.85/247.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 246.85/247.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 246.85/247.08  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 246.85/247.08  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 246.85/247.08  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 246.85/247.08  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 246.85/247.08  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 246.85/247.08  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 246.85/247.08  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 246.85/247.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 246.85/247.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 249.98/250.22  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 249.98/250.22  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 249.98/250.22  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 249.98/250.22  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 249.98/250.22  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 249.98/250.22  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 249.98/250.22  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 249.98/250.22  Found x:(P1 ((c_plus Xx) c0))
% 249.98/250.22  Instantiate: b0:=((c_plus Xx) c0):n
% 249.98/250.22  Found x as proof of (P2 b0)
% 249.98/250.22  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 249.98/250.22  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found x:(P1 b)
% 249.98/250.22  Instantiate: b0:=b:n
% 249.98/250.22  Found x as proof of (P2 b0)
% 249.98/250.22  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 249.98/250.22  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found x:(P1 b)
% 249.98/250.22  Instantiate: b0:=b:n
% 249.98/250.22  Found x as proof of (P2 b0)
% 249.98/250.22  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 249.98/250.22  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found x:(P1 b)
% 249.98/250.22  Instantiate: b0:=b:n
% 249.98/250.22  Found x as proof of (P2 b0)
% 249.98/250.22  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 249.98/250.22  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found x:(P1 b)
% 249.98/250.22  Instantiate: b0:=b:n
% 249.98/250.22  Found x as proof of (P2 b0)
% 249.98/250.22  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 249.98/250.22  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 249.98/250.22  Found x2:(P1 b0)
% 249.98/250.22  Found (fun (x2:(P1 b0))=> x2) as proof of (P1 b0)
% 249.98/250.22  Found (fun (x2:(P1 b0))=> x2) as proof of (P2 b0)
% 249.98/250.22  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 249.98/250.22  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 249.98/250.22  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 249.98/250.22  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 249.98/250.22  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 249.98/250.22  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 249.98/250.22  Found (eq_ref0 b1) as proof of (((eq n) b1) Xx)
% 249.98/250.22  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 249.98/250.22  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 254.25/254.50  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 254.25/254.50  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 254.25/254.50  Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 254.25/254.50  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 254.25/254.50  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 254.25/254.50  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 254.25/254.50  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 254.25/254.50  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 254.25/254.50  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 254.25/254.50  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 254.25/254.50  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 254.25/254.50  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 254.25/254.50  Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 254.25/254.50  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 254.25/254.50  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 254.25/254.50  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 254.25/254.50  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 254.25/254.50  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 254.25/254.50  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 254.25/254.50  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 254.25/254.50  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 254.25/254.50  Found x:(P1 Xx)
% 254.25/254.50  Found x as proof of (P2 Xx)
% 254.25/254.50  Found x:(P1 Xx)
% 254.25/254.50  Found x as proof of (P2 Xx)
% 254.25/254.50  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 254.25/254.50  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 254.25/254.50  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 254.25/254.50  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 254.25/254.50  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 254.25/254.50  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 254.25/254.50  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 254.25/254.50  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 254.25/254.50  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 254.25/254.50  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 254.25/254.50  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 254.25/254.50  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 254.25/254.50  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 254.25/254.50  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 254.25/254.50  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 254.25/254.50  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 254.25/254.50  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 254.25/254.50  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 254.25/254.50  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 254.25/254.50  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 254.25/254.50  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 254.25/254.50  Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 254.25/254.50  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 254.25/254.50  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 254.25/254.50  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 254.25/254.50  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 254.25/254.50  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 254.25/254.50  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 254.25/254.50  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 254.25/254.50  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 254.25/254.50  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 254.25/254.50  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 254.25/254.50  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 254.25/254.50  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 254.25/254.50  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 254.25/254.50  Found x:(P2 b0)
% 254.25/254.50  Instantiate: b0:=Xx:n
% 254.25/254.50  Found (fun (x:(P2 b0))=> x) as proof of (P2 Xx)
% 254.25/254.50  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 Xx))
% 254.25/254.50  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 254.25/254.50  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 254.25/254.50  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 254.25/254.50  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 254.25/254.50  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 254.25/254.50  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 254.25/254.50  Found x:(P2 b0)
% 254.25/254.50  Instantiate: b0:=Xx:n
% 254.25/254.50  Found (fun (x:(P2 b0))=> x) as proof of (P2 Xx)
% 254.25/254.50  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 Xx))
% 254.25/254.50  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 254.25/254.50  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 254.25/254.50  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 254.25/254.50  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 254.25/254.50  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 256.04/256.32  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 256.04/256.32  Found x:(P2 b0)
% 256.04/256.32  Instantiate: b0:=Xx:n
% 256.04/256.32  Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 256.04/256.32  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 256.04/256.32  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 256.04/256.32  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 256.04/256.32  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 256.04/256.32  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 256.04/256.32  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 256.04/256.32  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 256.04/256.32  Found x:(P2 b0)
% 256.04/256.32  Instantiate: b0:=Xx:n
% 256.04/256.32  Found (fun (x:(P2 b0))=> x) as proof of (P2 Xx)
% 256.04/256.32  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 Xx))
% 256.04/256.32  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 256.04/256.32  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 256.04/256.32  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 256.04/256.32  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 256.04/256.32  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 256.04/256.32  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 256.04/256.32  Found x:(P2 b0)
% 256.04/256.32  Instantiate: b0:=Xx:n
% 256.04/256.32  Found (fun (x:(P2 b0))=> x) as proof of (P2 Xx)
% 256.04/256.32  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 Xx))
% 256.04/256.32  Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 256.04/256.32  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 256.04/256.32  Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 256.04/256.32  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 256.04/256.32  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 256.04/256.32  Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 256.04/256.32  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 256.04/256.32  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 256.04/256.32  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 256.04/256.32  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 256.04/256.32  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 256.04/256.32  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 256.04/256.32  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found x:(P2 b)
% 256.04/256.32  Instantiate: b0:=b:n
% 256.04/256.32  Found (fun (x:(P2 b))=> x) as proof of (P2 b0)
% 256.04/256.32  Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of ((P2 b)->(P2 b0))
% 256.04/256.32  Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of (P1 b0)
% 256.04/256.32  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 256.04/256.32  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found x:(P2 b)
% 256.04/256.32  Instantiate: b0:=b:n
% 256.04/256.32  Found (fun (x:(P2 b))=> x) as proof of (P2 b0)
% 256.04/256.32  Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of ((P2 b)->(P2 b0))
% 256.04/256.32  Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of (P1 b0)
% 256.04/256.32  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 256.04/256.32  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found x:(P2 b)
% 256.04/256.32  Instantiate: b0:=b:n
% 256.04/256.32  Found (fun (x:(P2 b))=> x) as proof of (P2 b0)
% 256.04/256.32  Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of ((P2 b)->(P2 b0))
% 256.04/256.32  Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of (P1 b0)
% 256.04/256.32  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 256.04/256.32  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found x:(P2 b)
% 256.04/256.32  Instantiate: b0:=b:n
% 256.04/256.32  Found (fun (x:(P2 b))=> x) as proof of (P2 b0)
% 256.04/256.32  Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of ((P2 b)->(P2 b0))
% 256.04/256.32  Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of (P1 b0)
% 256.04/256.32  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 256.04/256.32  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 256.04/256.32  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 256.04/256.32  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 261.65/261.96  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 261.65/261.96  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 261.65/261.96  Found x:(P b0)
% 261.65/261.96  Found x as proof of (P0 ((c_plus Xx) c0))
% 261.65/261.96  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 261.65/261.96  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 261.65/261.96  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 261.65/261.96  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 261.65/261.96  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 261.65/261.96  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 261.65/261.96  Found (eq_ref0 b1) as proof of (((eq n) b1) Xx)
% 261.65/261.96  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 261.65/261.96  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 261.65/261.96  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 261.65/261.96  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 261.65/261.96  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 261.65/261.96  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 261.65/261.96  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 261.65/261.96  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 261.65/261.96  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 261.65/261.96  Found (eq_ref0 b1) as proof of (((eq n) b1) Xx)
% 261.65/261.96  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 261.65/261.96  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 261.65/261.96  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 261.65/261.96  Found x00:(P1 b0)
% 261.65/261.96  Found (fun (x00:(P1 b0))=> x00) as proof of (P1 b0)
% 261.65/261.96  Found (fun (x00:(P1 b0))=> x00) as proof of (P2 b0)
% 261.65/261.96  Found eq_ref00:=(eq_ref0 ((c_plus b) c0)):(((eq n) ((c_plus b) c0)) ((c_plus b) c0))
% 261.65/261.96  Found (eq_ref0 ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 261.65/261.96  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 261.65/261.96  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 261.65/261.96  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 261.65/261.96  Found x:(P1 b0)
% 261.65/261.96  Instantiate: b:=b0:n
% 261.65/261.96  Found (fun (x:(P1 b0))=> x) as proof of (P1 b)
% 261.65/261.96  Found (fun (P1:(n->Prop)) (x:(P1 b0))=> x) as proof of ((P1 b0)->(P1 b))
% 261.65/261.96  Found (fun (P1:(n->Prop)) (x:(P1 b0))=> x) as proof of (P0 b0)
% 261.65/261.96  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 261.65/261.96  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 261.65/261.96  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 261.65/261.96  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 261.65/261.96  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 261.65/261.96  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 261.65/261.96  Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 261.65/261.96  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 261.65/261.96  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 261.65/261.96  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 261.65/261.96  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 261.65/261.96  Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 261.65/261.96  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 261.65/261.96  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 261.65/261.96  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 261.65/261.96  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 261.65/261.96  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b00)
% 261.65/261.96  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b00)
% 261.65/261.96  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b00)
% 261.65/261.96  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b00)
% 261.65/261.96  Found x:(P b)
% 261.65/261.96  Instantiate: b0:=b:n
% 261.65/261.96  Found x as proof of (P0 b0)
% 261.65/261.96  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 261.65/261.96  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 261.65/261.96  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 261.65/261.96  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 261.65/261.96  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 261.65/261.96  Found x:(P0 ((c_plus b) c0))
% 261.65/261.96  Instantiate: b0:=((c_plus b) c0):n
% 261.65/261.96  Found x as proof of (P1 b0)
% 261.65/261.96  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 261.65/261.96  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 261.65/261.96  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 261.65/261.96  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 261.65/261.96  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 261.65/261.96  Found eq_ref00:=(eq_ref0 ((c_plus b) c0)):(((eq n) ((c_plus b) c0)) ((c_plus b) c0))
% 264.45/264.71  Found (eq_ref0 ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 264.45/264.71  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 264.45/264.71  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 264.45/264.71  Found ((eq_ref n) ((c_plus b) c0)) as proof of (((eq n) ((c_plus b) c0)) b0)
% 264.45/264.71  Found x:(P1 b0)
% 264.45/264.71  Instantiate: b0:=Xx:n
% 264.45/264.71  Found (fun (x:(P1 b0))=> x) as proof of (P1 b)
% 264.45/264.71  Found (fun (P1:(n->Prop)) (x:(P1 b0))=> x) as proof of ((P1 b0)->(P1 b))
% 264.45/264.71  Found (fun (P1:(n->Prop)) (x:(P1 b0))=> x) as proof of (P0 b0)
% 264.45/264.71  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 264.45/264.71  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 264.45/264.71  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 264.45/264.71  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 264.45/264.71  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 264.45/264.71  Found x:(P0 b1)
% 264.45/264.71  Instantiate: b1:=((c_plus Xx) c0):n
% 264.45/264.71  Found (fun (x:(P0 b1))=> x) as proof of (P0 b0)
% 264.45/264.71  Found (fun (P0:(n->Prop)) (x:(P0 b1))=> x) as proof of ((P0 b1)->(P0 b0))
% 264.45/264.71  Found (fun (P0:(n->Prop)) (x:(P0 b1))=> x) as proof of (P b1)
% 264.45/264.71  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 264.45/264.71  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 264.45/264.71  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 264.45/264.71  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 264.45/264.71  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 264.45/264.71  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 264.45/264.71  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 264.45/264.71  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 264.45/264.71  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 264.45/264.71  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 264.45/264.71  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 264.45/264.71  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 264.45/264.71  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 264.45/264.71  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 264.45/264.71  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 264.45/264.71  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 264.45/264.71  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 264.45/264.71  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 264.45/264.71  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 264.45/264.71  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 264.45/264.71  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 264.45/264.71  Found (eq_ref0 b1) as proof of (((eq n) b1) Xx)
% 264.45/264.71  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 264.45/264.71  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 264.45/264.71  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 264.45/264.71  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 264.45/264.71  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 264.45/264.71  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 264.45/264.71  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 264.45/264.71  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 264.45/264.71  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 264.45/264.71  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 264.45/264.71  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 264.45/264.71  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 264.45/264.71  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 264.45/264.71  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 264.45/264.71  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 264.45/264.71  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 264.45/264.71  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 264.45/264.71  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 264.45/264.71  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 264.45/264.71  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 264.45/264.71  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 264.45/264.71  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 264.45/264.71  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 264.45/264.71  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 264.45/264.71  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 264.45/264.71  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 264.45/264.71  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 264.45/264.71  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 264.45/264.71  Found x:(P2 ((c_plus Xx) c0))
% 264.45/264.71  Found (fun (x:(P2 ((c_plus Xx) c0)))=> x) as proof of (P2 b)
% 264.45/264.71  Found (fun (P2:(n->Prop)) (x:(P2 ((c_plus Xx) c0)))=> x) as proof of ((P2 ((c_plus Xx) c0))->(P2 b))
% 266.80/267.02  Found (fun (P2:(n->Prop)) (x:(P2 ((c_plus Xx) c0)))=> x) as proof of (P1 ((c_plus Xx) c0))
% 266.80/267.02  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 266.80/267.02  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 266.80/267.02  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 266.80/267.02  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 266.80/267.02  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 266.80/267.02  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 266.80/267.02  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 266.80/267.02  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 266.80/267.02  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 266.80/267.02  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 266.80/267.02  Found x:(P2 ((c_plus Xx) c0))
% 266.80/267.02  Found (fun (x:(P2 ((c_plus Xx) c0)))=> x) as proof of (P2 b)
% 266.80/267.02  Found (fun (P2:(n->Prop)) (x:(P2 ((c_plus Xx) c0)))=> x) as proof of ((P2 ((c_plus Xx) c0))->(P2 b))
% 266.80/267.02  Found (fun (P2:(n->Prop)) (x:(P2 ((c_plus Xx) c0)))=> x) as proof of (P1 ((c_plus Xx) c0))
% 266.80/267.02  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 266.80/267.02  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 266.80/267.02  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 266.80/267.02  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 266.80/267.02  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 266.80/267.02  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 266.80/267.02  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 266.80/267.02  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 266.80/267.02  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 266.80/267.02  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b0)
% 266.80/267.02  Found x:(P2 ((c_plus Xx) c0))
% 266.80/267.02  Found (fun (x:(P2 ((c_plus Xx) c0)))=> x) as proof of (P2 b)
% 266.80/267.02  Found (fun (P2:(n->Prop)) (x:(P2 ((c_plus Xx) c0)))=> x) as proof of ((P2 ((c_plus Xx) c0))->(P2 b))
% 266.80/267.02  Found (fun (P2:(n->Prop)) (x:(P2 ((c_plus Xx) c0)))=> x) as proof of (P1 ((c_plus Xx) c0))
% 266.80/267.02  Found x2:(P1 b0)
% 266.80/267.02  Found (fun (x2:(P1 b0))=> x2) as proof of (P1 b0)
% 266.80/267.02  Found (fun (x2:(P1 b0))=> x2) as proof of (P2 b0)
% 266.80/267.02  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 266.80/267.02  Found (eq_ref0 b1) as proof of (((eq n) b1) Xx)
% 266.80/267.02  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 266.80/267.02  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 266.80/267.02  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 266.80/267.02  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 266.80/267.02  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 266.80/267.02  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 266.80/267.02  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 266.80/267.02  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 266.80/267.02  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 266.80/267.02  Found (eq_ref0 b1) as proof of (((eq n) b1) Xx)
% 266.80/267.02  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 266.80/267.02  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 266.80/267.02  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 266.80/267.02  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 266.80/267.02  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 266.80/267.02  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 266.80/267.02  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 266.80/267.02  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 266.80/267.02  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 266.80/267.02  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 266.80/267.02  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 266.80/267.02  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 266.80/267.02  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 266.80/267.02  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 266.80/267.02  Found (eq_ref0 b1) as proof of (((eq n) b1) Xx)
% 266.80/267.02  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 266.80/267.02  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 266.80/267.02  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 266.80/267.02  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 273.79/274.08  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 273.79/274.08  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 273.79/274.08  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 273.79/274.08  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 273.79/274.08  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 273.79/274.08  Found (eq_ref0 b1) as proof of (((eq n) b1) Xx)
% 273.79/274.08  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 273.79/274.08  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 273.79/274.08  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 273.79/274.08  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 273.79/274.08  Found (eq_ref0 b00) as proof of (((eq n) b00) Xx)
% 273.79/274.08  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 273.79/274.08  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 273.79/274.08  Found ((eq_ref n) b00) as proof of (((eq n) b00) Xx)
% 273.79/274.08  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 273.79/274.08  Found (eq_ref0 b) as proof of (((eq n) b) b00)
% 273.79/274.08  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 273.79/274.08  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 273.79/274.08  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 273.79/274.08  Found x00:(P1 b0)
% 273.79/274.08  Found (fun (x00:(P1 b0))=> x00) as proof of (P1 b0)
% 273.79/274.08  Found (fun (x00:(P1 b0))=> x00) as proof of (P2 b0)
% 273.79/274.08  Found x:(P Xx)
% 273.79/274.08  Instantiate: b1:=Xx:n
% 273.79/274.08  Found x as proof of (P0 b1)
% 273.79/274.08  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 273.79/274.08  Found (eq_ref0 b0) as proof of (((eq n) b0) b1)
% 273.79/274.08  Found ((eq_ref n) b0) as proof of (((eq n) b0) b1)
% 273.79/274.08  Found ((eq_ref n) b0) as proof of (((eq n) b0) b1)
% 273.79/274.08  Found ((eq_ref n) b0) as proof of (((eq n) b0) b1)
% 273.79/274.08  Found x:(P b0)
% 273.79/274.08  Instantiate: b1:=b0:n
% 273.79/274.08  Found x as proof of (P0 b1)
% 273.79/274.08  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 273.79/274.08  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 273.79/274.08  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 273.79/274.08  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 273.79/274.08  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 273.79/274.08  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 273.79/274.08  Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 273.79/274.08  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 273.79/274.08  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 273.79/274.08  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 273.79/274.08  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 273.79/274.08  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 273.79/274.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 273.79/274.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 273.79/274.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 273.79/274.08  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 273.79/274.08  Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 273.79/274.08  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 273.79/274.08  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 273.79/274.08  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 273.79/274.08  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 273.79/274.08  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 273.79/274.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 273.79/274.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 273.79/274.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 273.79/274.08  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 273.79/274.08  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 273.79/274.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 273.79/274.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 273.79/274.08  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 273.79/274.08  Found x:(P Xx)
% 273.79/274.08  Instantiate: a:=Xx:n
% 273.79/274.08  Found x as proof of (P0 a)
% 273.79/274.08  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 273.79/274.08  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 273.79/274.08  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 273.79/274.08  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 273.79/274.08  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 273.79/274.08  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 273.79/274.08  Found (eq_ref0 a) as proof of (((eq n) a) b)
% 273.79/274.08  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 273.79/274.08  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 273.79/274.08  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 273.79/274.08  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 273.79/274.08  Found (eq_ref0 a) as proof of (((eq n) a) b)
% 273.79/274.08  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 273.79/274.08  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 280.98/281.23  Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 280.98/281.23  Found x:(P b0)
% 280.98/281.23  Instantiate: b00:=b0:n
% 280.98/281.23  Found x as proof of (P0 b00)
% 280.98/281.23  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 280.98/281.23  Found (eq_ref0 b) as proof of (((eq n) b) b00)
% 280.98/281.23  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 280.98/281.23  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 280.98/281.23  Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 280.98/281.23  Found x3:(P1 Xx)
% 280.98/281.23  Found (fun (x3:(P1 Xx))=> x3) as proof of (P1 Xx)
% 280.98/281.23  Found (fun (x3:(P1 Xx))=> x3) as proof of (P2 Xx)
% 280.98/281.23  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 280.98/281.23  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 280.98/281.23  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found x3:(P1 Xx)
% 280.98/281.23  Found (fun (x3:(P1 Xx))=> x3) as proof of (P1 Xx)
% 280.98/281.23  Found (fun (x3:(P1 Xx))=> x3) as proof of (P2 Xx)
% 280.98/281.23  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 280.98/281.23  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 280.98/281.23  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found x3:(P1 Xx)
% 280.98/281.23  Found (fun (x3:(P1 Xx))=> x3) as proof of (P1 Xx)
% 280.98/281.23  Found (fun (x3:(P1 Xx))=> x3) as proof of (P2 Xx)
% 280.98/281.23  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 280.98/281.23  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 280.98/281.23  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found x:(P b0)
% 280.98/281.23  Found x as proof of (P0 Xx)
% 280.98/281.23  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 280.98/281.23  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 280.98/281.23  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 280.98/281.23  Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 280.98/281.23  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 280.98/281.23  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 280.98/281.23  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 280.98/281.23  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 280.98/281.23  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 280.98/281.23  Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 280.98/281.23  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 280.98/281.23  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 280.98/281.23  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 280.98/281.23  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 280.98/281.23  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 280.98/281.23  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 280.98/281.23  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 280.98/281.23  Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 280.98/281.23  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 280.98/281.23  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 280.98/281.23  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 280.98/281.23  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 293.23/293.47  Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 293.23/293.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 293.23/293.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 293.23/293.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_plus Xx) c0))
% 293.23/293.47  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 293.23/293.47  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 293.23/293.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 293.23/293.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 293.23/293.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 293.23/293.47  Found x:(P2 Xx)
% 293.23/293.47  Found (fun (x:(P2 Xx))=> x) as proof of (P2 b)
% 293.23/293.47  Found (fun (P2:(n->Prop)) (x:(P2 Xx))=> x) as proof of ((P2 Xx)->(P2 b))
% 293.23/293.47  Found (fun (P2:(n->Prop)) (x:(P2 Xx))=> x) as proof of (P1 Xx)
% 293.23/293.47  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 293.23/293.47  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 293.23/293.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 293.23/293.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 293.23/293.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 293.23/293.47  Found x:(P0 b1)
% 293.23/293.47  Instantiate: b1:=((c_plus Xx) c0):n
% 293.23/293.47  Found (fun (x:(P0 b1))=> x) as proof of (P0 b0)
% 293.23/293.47  Found (fun (P0:(n->Prop)) (x:(P0 b1))=> x) as proof of ((P0 b1)->(P0 b0))
% 293.23/293.47  Found (fun (P0:(n->Prop)) (x:(P0 b1))=> x) as proof of (P b1)
% 293.23/293.47  Found x:(P b)
% 293.23/293.47  Instantiate: a:=b:n
% 293.23/293.47  Found x as proof of (P0 a)
% 293.23/293.47  Found x:(P0 ((c_plus b) c0))
% 293.23/293.47  Instantiate: b0:=((c_plus b) c0):n
% 293.23/293.47  Found x as proof of (P1 b0)
% 293.23/293.47  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 293.23/293.47  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 293.23/293.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 293.23/293.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 293.23/293.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 293.23/293.47  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 293.23/293.47  Found (eq_ref0 b0) as proof of (((eq n) b0) Xx)
% 293.23/293.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 293.23/293.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 293.23/293.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) Xx)
% 293.23/293.47  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 293.23/293.47  Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 293.23/293.47  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 293.23/293.47  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 293.23/293.47  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 293.23/293.47  Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 293.23/293.47  Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 293.23/293.47  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 293.23/293.47  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 293.23/293.47  Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 293.23/293.47  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 293.23/293.47  Found (eq_ref0 b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 293.23/293.47  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 293.23/293.47  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 293.23/293.47  Found ((eq_ref n) b) as proof of (((eq n) b) ((c_plus Xx) c0))
% 293.23/293.47  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 293.23/293.47  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b)
% 293.23/293.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 293.23/293.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 293.23/293.47  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b)
% 293.23/293.47  Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 293.23/293.47  Found (eq_ref0 b0) as proof of (((eq n) b0) a)
% 293.23/293.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) a)
% 293.23/293.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) a)
% 293.23/293.47  Found ((eq_ref n) b0) as proof of (((eq n) b0) a)
% 293.23/293.47  Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 293.23/293.47  Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 293.23/293.47  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 293.23/293.47  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 293.23/293.47  Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 293.23/293.47  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 293.23/293.47  Found (eq_ref0 b1) as proof of (((eq n) b1) Xx)
% 293.23/293.47  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 293.23/293.47  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 293.23/293.47  Found ((eq_ref n) b1) as proof of (((eq n) b1) Xx)
% 293.23/293.47  Found eq_ref00:=(eq_ref0 ((c_plus Xx) c0)):(((eq n) ((c_plus Xx) c0)) ((c_plus Xx) c0))
% 293.23/293.47  Found (eq_ref0 ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 293.23/293.47  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 293.23/293.47  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 293.23/293.47  Found ((eq_ref n) ((c_plus Xx) c0)) as proof of (((eq n) ((c_plus Xx) c0)) b1)
% 293.23/293.47  Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 293.23/293.47  Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 297.46/297.77  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 297.46/297.77  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 297.46/297.77  Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_plus Xx) c0))
% 297.46/297.77  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 297.46/297.77  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b1)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b1)
% 297.46/297.77  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 297.46/297.77  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 297.46/297.77  Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 297.46/297.77  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 297.46/297.77  Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 297.46/297.77  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 297.46/297.77  Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 297.46/297.77  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 297.46/297.77  Found x:(P1 ((c_plus b) c0))
% 297.46/297.77  Instantiate: b0:=((c_plus b) c0):n
% 297.46/297.77  Found (fun (x:(P1 ((c_plus b) c0)))=> x) as proof of (P1 b0)
% 297.46/297.77  Found (fun (P1:(n->Prop)) (x:(P1 ((c_plus b) c0)))=> x) as proof of ((P1 ((c_plus b) c0))->(P1 b0))
% 297.46/297.77  Found (fun (P1:(n->Prop)) (x:(P1 ((c_plus b) c0)))=> x) as proof of (P0 b0)
% 297.46/297.77  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 297.46/297.77  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 297.46/297.77  Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 297.46/297.77  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 297.46/297.77  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 297.46/297.77  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b0)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b0)
% 297.46/297.77  Found eq_ref00:=(eq_ref0 Xx):(((eq n) Xx) Xx)
% 297.46/297.77  Found (eq_ref0 Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found ((eq_ref n) Xx) as proof of (((eq n) Xx) b00)
% 297.46/297.77  Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 297.46/297.77  Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 297.46/297.77  Found x2:(P1 b)
% 297.46/297.77  Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 297.46/297.77  Found (
%------------------------------------------------------------------------------