TSTP Solution File: NUM803^5 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM803^5 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n035.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 294.71s
% 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 : NUM803^5 : 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 : n035.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
% 4.12/4.48 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 4.12/4.48 FOF formula (<kernel.Constant object at 0x2abc174e9098>, <kernel.Type object at 0x2abc174e99e0>) of role type named n_type
% 4.12/4.48 Using role type
% 4.12/4.48 Declaring n:Type
% 4.12/4.48 FOF formula (<kernel.Constant object at 0x2abc16e21710>, <kernel.Constant object at 0x2abc174e9518>) of role type named c0
% 4.12/4.48 Using role type
% 4.12/4.48 Declaring c0:n
% 4.12/4.48 FOF formula (<kernel.Constant object at 0x2abc174e9d88>, <kernel.DependentProduct object at 0x2abc174e97a0>) of role type named c_star
% 4.12/4.48 Using role type
% 4.12/4.48 Declaring c_star:(n->(n->n))
% 4.12/4.48 FOF formula (forall (Xx:n), (((eq n) ((c_star Xx) c0)) c0)) of role conjecture named cPA_3
% 4.12/4.48 Conjecture to prove = (forall (Xx:n), (((eq n) ((c_star Xx) c0)) c0)):Prop
% 4.12/4.48 We need to prove ['(forall (Xx:n), (((eq n) ((c_star Xx) c0)) c0))']
% 4.12/4.48 Parameter n:Type.
% 4.12/4.48 Parameter c0:n.
% 4.12/4.48 Parameter c_star:(n->(n->n)).
% 4.12/4.48 Trying to prove (forall (Xx:n), (((eq n) ((c_star Xx) c0)) c0))
% 4.12/4.48 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 4.12/4.49 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 4.12/4.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 4.12/4.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 4.12/4.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 4.12/4.49 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 4.12/4.49 Found (eq_ref0 b) as proof of (((eq n) b) c0)
% 4.12/4.49 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 4.12/4.49 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 4.12/4.49 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 4.12/4.49 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 4.12/4.49 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 4.12/4.49 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 4.12/4.49 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 4.12/4.49 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 4.12/4.49 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 4.12/4.49 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found x:(P ((c_star Xx) c0))
% 4.12/4.49 Instantiate: b:=((c_star Xx) c0):n
% 4.12/4.49 Found x as proof of (P0 b)
% 4.12/4.49 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 4.12/4.49 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 4.12/4.49 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 4.12/4.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 4.12/4.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 4.12/4.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 4.12/4.49 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 4.12/4.49 Found (eq_ref0 b) as proof of (((eq n) b) c0)
% 4.12/4.49 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 4.12/4.49 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 4.12/4.49 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 4.12/4.49 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 4.12/4.49 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found x:(P c0)
% 4.12/4.49 Instantiate: b:=c0:n
% 4.12/4.49 Found x as proof of (P0 b)
% 4.12/4.49 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 4.12/4.49 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 4.12/4.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 4.12/4.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 4.12/4.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 4.12/4.49 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 4.12/4.49 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 4.12/4.49 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 8.32/8.71 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 8.32/8.71 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 8.32/8.71 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 8.32/8.71 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 8.32/8.71 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 8.32/8.71 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 8.32/8.71 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 8.32/8.71 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 8.32/8.71 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 8.32/8.71 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 8.32/8.71 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 8.32/8.71 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 8.32/8.71 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 8.32/8.71 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 8.32/8.71 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 8.32/8.71 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 8.32/8.71 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 8.32/8.71 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 8.32/8.71 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 8.32/8.71 Found x2:(P b)
% 8.32/8.71 Found (fun (x2:(P b))=> x2) as proof of (P b)
% 8.32/8.71 Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 8.32/8.71 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 8.32/8.71 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 8.32/8.71 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 8.32/8.71 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 8.32/8.71 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 8.32/8.71 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 8.32/8.71 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 8.32/8.71 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 8.32/8.71 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 8.32/8.71 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 8.32/8.71 Found x3:(P c0)
% 8.32/8.71 Found (fun (x3:(P c0))=> x3) as proof of (P c0)
% 8.32/8.71 Found (fun (x3:(P c0))=> x3) as proof of (P0 c0)
% 8.32/8.71 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 8.32/8.71 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 8.32/8.71 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 8.32/8.71 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 8.32/8.71 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 8.32/8.71 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 8.32/8.71 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 8.32/8.71 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 8.32/8.71 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 8.32/8.71 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 8.32/8.71 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 8.32/8.71 Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 8.32/8.71 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 8.32/8.71 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 8.32/8.71 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 8.32/8.71 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 8.32/8.71 Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 8.32/8.71 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 8.32/8.71 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 8.32/8.71 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 8.32/8.71 Found x2:(P c0)
% 8.32/8.71 Found (fun (x2:(P c0))=> x2) as proof of (P c0)
% 8.32/8.71 Found (fun (x2:(P c0))=> x2) as proof of (P0 c0)
% 8.32/8.71 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 8.32/8.71 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 8.32/8.71 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 8.32/8.71 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 8.32/8.71 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 8.32/8.71 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 8.32/8.71 Found (eq_ref0 b) as proof of (((eq n) b) c0)
% 8.32/8.71 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 8.32/8.71 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 8.32/8.71 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 8.32/8.71 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 8.32/8.71 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 8.32/8.71 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 8.32/8.71 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 8.32/8.71 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 8.32/8.71 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 8.32/8.71 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 8.32/8.71 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 8.32/8.71 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 14.61/14.91 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 14.61/14.91 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 14.61/14.91 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 14.61/14.91 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 14.61/14.91 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 14.61/14.91 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 14.61/14.91 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 14.61/14.91 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 14.61/14.91 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 14.61/14.91 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 14.61/14.91 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 14.61/14.91 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 14.61/14.91 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 14.61/14.91 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 14.61/14.91 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 14.61/14.91 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 14.61/14.91 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 14.61/14.91 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 14.61/14.91 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 14.61/14.91 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 14.61/14.91 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 14.61/14.91 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 14.61/14.91 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 14.61/14.91 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 14.61/14.91 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 14.61/14.91 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 14.61/14.91 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 14.61/14.91 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 14.61/14.91 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 14.61/14.91 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 14.61/14.91 Found x:(P ((c_star Xx) c0))
% 14.61/14.91 Instantiate: b:=((c_star Xx) c0):n
% 14.61/14.91 Found x as proof of (P0 b)
% 14.61/14.91 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 14.61/14.91 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 14.61/14.91 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 14.61/14.91 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 14.61/14.91 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 14.61/14.91 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 14.61/14.91 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 14.61/14.91 Found (eq_ref0 b) as proof of (((eq n) b) c0)
% 14.61/14.91 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 14.61/14.91 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 14.61/14.91 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 14.61/14.91 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 14.61/14.91 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found x:(P c0)
% 14.61/14.91 Instantiate: b:=c0:n
% 14.61/14.91 Found x as proof of (P0 b)
% 14.61/14.91 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 14.61/14.91 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 14.61/14.91 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 14.61/14.91 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 14.61/14.91 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 14.61/14.91 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 14.61/14.91 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 14.61/14.91 Found x:(P ((c_star Xx) c0))
% 18.92/19.23 Instantiate: a:=((c_star Xx) c0):n
% 18.92/19.23 Found x as proof of (P0 a)
% 18.92/19.23 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 18.92/19.23 Found (eq_ref0 b) as proof of (((eq n) b) c0)
% 18.92/19.23 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 18.92/19.23 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 18.92/19.23 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 18.92/19.23 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 18.92/19.23 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 18.92/19.23 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 18.92/19.23 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 18.92/19.23 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 18.92/19.23 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 18.92/19.23 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 18.92/19.23 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 18.92/19.23 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 18.92/19.23 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 18.92/19.23 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 18.92/19.23 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 18.92/19.23 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found x:(P1 c0)
% 18.92/19.23 Instantiate: b:=c0:n
% 18.92/19.23 Found x as proof of (P2 b)
% 18.92/19.23 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 18.92/19.23 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 18.92/19.23 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 18.92/19.23 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 18.92/19.23 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 18.92/19.23 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 18.92/19.23 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 18.92/19.23 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 18.92/19.23 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 18.92/19.23 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 18.92/19.23 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 18.92/19.23 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 18.92/19.23 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 18.92/19.23 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 18.92/19.23 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 18.92/19.23 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 18.92/19.23 Found x2:(P b)
% 24.59/24.94 Found (fun (x2:(P b))=> x2) as proof of (P b)
% 24.59/24.94 Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 24.59/24.94 Found x2:(P b)
% 24.59/24.94 Found (fun (x2:(P b))=> x2) as proof of (P b)
% 24.59/24.94 Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 24.59/24.94 Found x00:(P1 c0)
% 24.59/24.94 Found (fun (x00:(P1 c0))=> x00) as proof of (P1 c0)
% 24.59/24.94 Found (fun (x00:(P1 c0))=> x00) as proof of (P2 c0)
% 24.59/24.94 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 24.59/24.94 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 24.59/24.94 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 24.59/24.94 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 24.59/24.94 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 24.59/24.94 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 24.59/24.94 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 24.59/24.94 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 24.59/24.94 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 24.59/24.94 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 24.59/24.94 Found x:(P b)
% 24.59/24.94 Instantiate: b0:=b:n
% 24.59/24.94 Found x as proof of (P0 b0)
% 24.59/24.95 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 24.59/24.95 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 24.59/24.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 24.59/24.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 24.59/24.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 24.59/24.95 Found x:(P c0)
% 24.59/24.95 Instantiate: b:=c0:n
% 24.59/24.95 Found x as proof of (P0 b)
% 24.59/24.95 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 24.59/24.95 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 24.59/24.95 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 24.59/24.95 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 24.59/24.95 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 24.59/24.95 Found x3:(P c0)
% 24.59/24.95 Found (fun (x3:(P c0))=> x3) as proof of (P c0)
% 24.59/24.95 Found (fun (x3:(P c0))=> x3) as proof of (P0 c0)
% 24.59/24.95 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 24.59/24.95 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 24.59/24.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 24.59/24.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 24.59/24.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 24.59/24.95 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 24.59/24.95 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 24.59/24.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 24.59/24.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 24.59/24.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 24.59/24.95 Found x3:(P c0)
% 24.59/24.95 Found (fun (x3:(P c0))=> x3) as proof of (P c0)
% 24.59/24.95 Found (fun (x3:(P c0))=> x3) as proof of (P0 c0)
% 24.59/24.95 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 24.59/24.95 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 24.59/24.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 24.59/24.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 24.59/24.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 24.59/24.95 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 24.59/24.95 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 24.59/24.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 24.59/24.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 24.59/24.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 24.59/24.95 Found x:(P c0)
% 24.59/24.95 Instantiate: a:=c0:n
% 24.59/24.95 Found x as proof of (P0 a)
% 24.59/24.95 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 24.59/24.95 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 24.59/24.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 24.59/24.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 24.59/24.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 24.59/24.95 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 24.59/24.95 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 24.59/24.95 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 24.59/24.95 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 24.59/24.95 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 24.59/24.95 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 24.59/24.95 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 24.59/24.95 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 24.59/24.95 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 24.59/24.95 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 24.59/24.95 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 24.59/24.95 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 24.59/24.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 24.59/24.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 24.59/24.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 31.19/31.49 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 31.19/31.49 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 31.19/31.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 31.19/31.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 31.19/31.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 31.19/31.49 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 31.19/31.49 Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 31.19/31.49 Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 31.19/31.49 Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 31.19/31.49 Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 31.19/31.49 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 31.19/31.49 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 31.19/31.49 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 31.19/31.49 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 31.19/31.49 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 31.19/31.49 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 31.19/31.49 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 31.19/31.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 31.19/31.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 31.19/31.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 31.19/31.49 Found x2:(P1 b)
% 31.19/31.49 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 31.19/31.49 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 31.19/31.49 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 31.19/31.49 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 31.19/31.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 31.19/31.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 31.19/31.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 31.19/31.49 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 31.19/31.49 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 31.19/31.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 31.19/31.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 31.19/31.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 31.19/31.49 Found x2:(P c0)
% 31.19/31.49 Found (fun (x2:(P c0))=> x2) as proof of (P c0)
% 31.19/31.49 Found (fun (x2:(P c0))=> x2) as proof of (P0 c0)
% 31.19/31.49 Found x2:(P c0)
% 31.19/31.49 Found (fun (x2:(P c0))=> x2) as proof of (P c0)
% 31.19/31.49 Found (fun (x2:(P c0))=> x2) as proof of (P0 c0)
% 31.19/31.49 Found x:(P b)
% 31.19/31.49 Found x as proof of (P0 ((c_star Xx) c0))
% 31.19/31.49 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 31.19/31.49 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 31.19/31.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 31.19/31.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 31.19/31.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 31.19/31.49 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 31.19/31.49 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 31.19/31.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 31.19/31.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 31.19/31.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 31.19/31.49 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 31.19/31.49 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 31.19/31.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 31.19/31.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 31.19/31.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 31.19/31.49 Found x:(P0 b0)
% 31.19/31.49 Instantiate: b0:=((c_star Xx) c0):n
% 31.19/31.49 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 31.19/31.49 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 31.19/31.49 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 31.19/31.49 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 31.19/31.49 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 31.19/31.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 31.19/31.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 34.31/34.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 34.31/34.66 Found x:(P0 b0)
% 34.31/34.66 Instantiate: b0:=((c_star Xx) c0):n
% 34.31/34.66 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 34.31/34.66 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 34.31/34.66 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 34.31/34.66 Found x:(P c0)
% 34.31/34.66 Instantiate: b0:=c0:n
% 34.31/34.66 Found x as proof of (P0 b0)
% 34.31/34.66 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 34.31/34.66 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 34.31/34.66 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 34.31/34.66 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 34.31/34.66 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 34.31/34.66 Found x:(P c0)
% 34.31/34.66 Instantiate: b0:=c0:n
% 34.31/34.66 Found x as proof of (P0 b0)
% 34.31/34.66 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 34.31/34.66 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 34.31/34.66 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 34.31/34.66 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 34.31/34.66 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 34.31/34.66 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 34.31/34.66 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 34.31/34.66 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 34.31/34.66 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 34.31/34.66 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 34.31/34.66 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 34.31/34.66 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 34.31/34.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 34.31/34.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 34.31/34.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 34.31/34.66 Found x3:(P1 c0)
% 34.31/34.66 Found (fun (x3:(P1 c0))=> x3) as proof of (P1 c0)
% 34.31/34.66 Found (fun (x3:(P1 c0))=> x3) as proof of (P2 c0)
% 34.31/34.66 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 34.31/34.66 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 34.31/34.66 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 34.31/34.66 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 34.31/34.66 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 34.31/34.66 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 34.31/34.66 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 34.31/34.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 34.31/34.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 34.31/34.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 34.31/34.66 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 34.31/34.66 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 34.31/34.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 34.31/34.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 34.31/34.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 34.31/34.66 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 34.31/34.66 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 34.31/34.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 34.31/34.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 34.31/34.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 34.31/34.66 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 34.31/34.66 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 34.31/34.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 34.31/34.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 34.31/34.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 34.31/34.66 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 34.31/34.66 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 34.31/34.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 34.31/34.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 34.31/34.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 34.31/34.66 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 34.31/34.66 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 34.31/34.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 34.31/34.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 34.31/34.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 34.31/34.66 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 34.31/34.66 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 34.31/34.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 34.31/34.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 34.31/34.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 34.31/34.66 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 34.31/34.66 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 34.31/34.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 34.31/34.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 34.31/34.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 34.31/34.66 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 34.31/34.66 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 45.58/45.98 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 45.58/45.98 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 45.58/45.98 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 45.58/45.98 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 45.58/45.98 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 45.58/45.98 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 45.58/45.98 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 45.58/45.98 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 45.58/45.98 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 45.58/45.98 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 45.58/45.98 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 45.58/45.98 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 45.58/45.98 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 45.58/45.98 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 45.58/45.98 Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 45.58/45.98 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 45.58/45.98 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 45.58/45.98 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 45.58/45.98 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 45.58/45.98 Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 45.58/45.98 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 45.58/45.98 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 45.58/45.98 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 45.58/45.98 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 45.58/45.98 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 45.58/45.98 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 45.58/45.98 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 45.58/45.98 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 45.58/45.98 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 45.58/45.98 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 45.58/45.98 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 45.58/45.98 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 45.58/45.98 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 45.58/45.98 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 45.58/45.98 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 45.58/45.98 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 45.58/45.98 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 45.58/45.98 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 45.58/45.98 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 45.58/45.98 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 45.58/45.98 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 45.58/45.98 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 45.58/45.98 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 45.58/45.98 Found x2:(P1 c0)
% 45.58/45.98 Found (fun (x2:(P1 c0))=> x2) as proof of (P1 c0)
% 45.58/45.98 Found (fun (x2:(P1 c0))=> x2) as proof of (P2 c0)
% 45.58/45.98 Found x2:(P1 c0)
% 45.58/45.98 Found (fun (x2:(P1 c0))=> x2) as proof of (P1 c0)
% 45.58/45.98 Found (fun (x2:(P1 c0))=> x2) as proof of (P2 c0)
% 45.58/45.98 Found x2:(P1 b)
% 45.58/45.98 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 45.58/45.98 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 45.58/45.98 Found x2:(P0 b)
% 45.58/45.98 Found (fun (x2:(P0 b))=> x2) as proof of (P0 b)
% 45.58/45.98 Found (fun (x2:(P0 b))=> x2) as proof of (P1 b)
% 45.58/45.98 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 45.58/45.98 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 45.58/45.98 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 45.58/45.98 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 45.58/45.98 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 45.58/45.98 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 45.58/45.98 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 45.58/45.98 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 45.58/45.98 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 45.58/45.98 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 45.58/45.98 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 45.58/45.98 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 45.58/45.98 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 45.58/45.98 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 45.58/45.98 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 45.58/45.98 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 45.58/45.98 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 45.58/45.98 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 45.58/45.98 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 45.58/45.98 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 45.58/45.98 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 45.58/45.98 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 45.58/45.98 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 45.58/45.98 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 45.58/45.98 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 48.67/49.02 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 48.67/49.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 48.67/49.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 48.67/49.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 48.67/49.02 Found x:(P b)
% 48.67/49.02 Instantiate: b0:=b:n
% 48.67/49.02 Found x as proof of (P0 b0)
% 48.67/49.02 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 48.67/49.02 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found x2:(P0 b)
% 48.67/49.02 Found (fun (x2:(P0 b))=> x2) as proof of (P0 b)
% 48.67/49.02 Found (fun (x2:(P0 b))=> x2) as proof of (P1 b)
% 48.67/49.02 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 48.67/49.02 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 48.67/49.02 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 48.67/49.02 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 48.67/49.02 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 48.67/49.02 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 48.67/49.02 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 48.67/49.02 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 48.67/49.02 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 48.67/49.02 Found x2:(P b0)
% 48.67/49.02 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 48.67/49.02 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 48.67/49.02 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 48.67/49.02 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 48.67/49.02 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 48.67/49.02 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 48.67/49.02 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 48.67/49.02 Found x:(P0 b0)
% 48.67/49.02 Instantiate: b0:=c0:n
% 48.67/49.02 Found (fun (x:(P0 b0))=> x) as proof of (P0 c0)
% 48.67/49.02 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 c0))
% 48.67/49.02 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 48.67/49.02 Found x:(P c0)
% 48.67/49.02 Found x as proof of (P0 c0)
% 48.67/49.02 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 48.67/49.02 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found x:(P0 b)
% 48.67/49.02 Instantiate: b0:=b:n
% 48.67/49.02 Found (fun (x:(P0 b))=> x) as proof of (P0 b0)
% 48.67/49.02 Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 b0))
% 48.67/49.02 Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of (P b0)
% 48.67/49.02 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 48.67/49.02 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 48.67/49.02 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 48.67/49.02 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 53.11/53.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 53.11/53.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 53.11/53.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 53.11/53.42 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 53.11/53.42 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 53.11/53.42 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 53.11/53.42 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 53.11/53.42 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 53.11/53.42 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 53.11/53.42 Found (eq_ref0 b1) as proof of (((eq n) b1) c0)
% 53.11/53.42 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 53.11/53.42 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 53.11/53.42 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 53.11/53.42 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 53.11/53.42 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 53.11/53.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 53.11/53.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 53.11/53.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 53.11/53.42 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 53.11/53.42 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 53.11/53.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 53.11/53.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 53.11/53.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 53.11/53.42 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 53.11/53.42 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 53.11/53.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 53.11/53.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 53.11/53.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 53.11/53.42 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 53.11/53.42 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 53.11/53.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 53.11/53.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 53.11/53.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 53.11/53.42 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 53.11/53.42 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 53.11/53.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 53.11/53.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 53.11/53.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 53.11/53.42 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 53.11/53.42 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 53.11/53.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 53.11/53.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 53.11/53.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 53.11/53.42 Found x2:(P c0)
% 53.11/53.42 Found (fun (x2:(P c0))=> x2) as proof of (P c0)
% 53.11/53.42 Found (fun (x2:(P c0))=> x2) as proof of (P0 c0)
% 53.11/53.42 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 53.11/53.42 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 53.11/53.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 53.11/53.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 53.11/53.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 53.11/53.42 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 53.11/53.42 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 53.11/53.42 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 53.11/53.42 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 53.11/53.42 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 53.11/53.42 Found x:(P0 ((c_star Xx) c0))
% 53.11/53.42 Found (fun (x:(P0 ((c_star Xx) c0)))=> x) as proof of (P0 b)
% 53.11/53.42 Found (fun (P0:(n->Prop)) (x:(P0 ((c_star Xx) c0)))=> x) as proof of ((P0 ((c_star Xx) c0))->(P0 b))
% 53.11/53.42 Found (fun (P0:(n->Prop)) (x:(P0 ((c_star Xx) c0)))=> x) as proof of (P ((c_star Xx) c0))
% 53.11/53.42 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 53.11/53.42 Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 53.11/53.42 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 53.11/53.42 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 53.11/53.42 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 53.11/53.42 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 53.11/53.42 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 53.11/53.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 53.11/53.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 53.11/53.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 53.11/53.42 Found x3:(P c0)
% 53.11/53.42 Found (fun (x3:(P c0))=> x3) as proof of (P c0)
% 53.11/53.42 Found (fun (x3:(P c0))=> x3) as proof of (P0 c0)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 61.08/61.43 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 61.08/61.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 61.08/61.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 61.08/61.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 61.08/61.43 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 61.08/61.43 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 61.08/61.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 61.08/61.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 61.08/61.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 61.08/61.43 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 61.08/61.43 Found (eq_ref0 c0) as proof of (((eq n) c0) b00)
% 61.08/61.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 61.08/61.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 61.08/61.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 61.08/61.43 Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 61.08/61.43 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 61.08/61.43 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 61.08/61.43 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 61.08/61.43 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 61.08/61.43 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 61.08/61.43 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 61.08/61.43 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 61.08/61.43 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 61.08/61.43 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 61.08/61.43 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 61.08/61.43 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 61.08/61.43 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 61.08/61.43 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 61.08/61.43 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 61.08/61.43 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 61.08/61.43 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 61.08/61.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 65.08/65.43 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 65.08/65.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 65.08/65.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 65.08/65.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 65.08/65.43 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 65.08/65.43 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 65.08/65.43 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 65.08/65.43 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 65.08/65.43 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 65.08/65.43 Found x2:(P b0)
% 65.08/65.43 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 65.08/65.43 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 65.08/65.43 Found x2:(P b0)
% 65.08/65.43 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 65.08/65.43 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 65.08/65.43 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 65.08/65.43 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 65.08/65.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 65.08/65.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 65.08/65.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 65.08/65.43 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 65.08/65.43 Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 65.08/65.43 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 65.08/65.43 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 65.08/65.43 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 65.08/65.43 Found eq_ref00:=(eq_ref0 ((c_star Xx) b)):(((eq n) ((c_star Xx) b)) ((c_star Xx) b))
% 65.08/65.43 Found (eq_ref0 ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 65.08/65.43 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 65.08/65.43 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 65.08/65.43 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 65.08/65.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 65.08/65.43 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 65.08/65.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 65.08/65.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 65.08/65.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 65.08/65.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 65.08/65.43 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 65.08/65.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 65.08/65.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 65.08/65.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 65.08/65.43 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 65.08/65.43 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 65.08/65.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 65.08/65.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 65.08/65.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 65.08/65.43 Found x:(P0 c0)
% 65.08/65.43 Found (fun (x:(P0 c0))=> x) as proof of (P0 c0)
% 65.08/65.43 Found (fun (P0:(n->Prop)) (x:(P0 c0))=> x) as proof of ((P0 c0)->(P0 c0))
% 65.08/65.43 Found (fun (P0:(n->Prop)) (x:(P0 c0))=> x) as proof of (P c0)
% 65.08/65.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 65.08/65.43 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 65.08/65.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 65.08/65.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 65.08/65.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 65.08/65.43 Found eq_ref00:=(eq_ref0 ((c_star Xx) b)):(((eq n) ((c_star Xx) b)) ((c_star Xx) b))
% 65.08/65.43 Found (eq_ref0 ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 65.08/65.43 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 65.08/65.43 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 65.08/65.43 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 65.08/65.43 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 65.08/65.43 Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 65.08/65.43 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 65.08/65.43 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 65.08/65.43 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 65.08/65.43 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 65.08/65.43 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 65.08/65.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 65.08/65.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 65.08/65.43 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 65.08/65.43 Found x3:(P b)
% 65.08/65.43 Found (fun (x3:(P b))=> x3) as proof of (P b)
% 65.08/65.43 Found (fun (x3:(P b))=> x3) as proof of (P0 b)
% 65.08/65.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 65.08/65.43 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 65.08/65.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 65.08/65.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 65.08/65.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 73.67/74.03 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 73.67/74.03 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.67/74.03 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.67/74.03 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 73.67/74.03 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 73.67/74.03 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 73.67/74.03 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 73.67/74.03 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 73.67/74.03 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 73.67/74.03 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.67/74.03 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.67/74.03 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 73.67/74.03 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 73.67/74.03 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 73.67/74.03 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 73.67/74.03 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 73.67/74.03 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 73.67/74.03 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.67/74.03 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.67/74.03 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 73.67/74.03 Found (eq_ref0 b00) as proof of (((eq n) b00) c0)
% 73.67/74.03 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 73.67/74.03 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 73.67/74.03 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 73.67/74.03 Found (eq_ref0 b) as proof of (((eq n) b) b00)
% 73.67/74.03 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 73.67/74.03 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 73.67/74.03 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 73.67/74.03 Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 73.67/74.03 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 73.67/74.03 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 73.67/74.03 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 73.67/74.03 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 73.67/74.03 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 73.67/74.03 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 73.67/74.03 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 73.67/74.03 Found x:(P ((c_star Xx) c0))
% 73.67/74.03 Instantiate: a:=((c_star Xx) c0):n
% 73.67/74.03 Found x as proof of (P0 a)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 73.67/74.03 Found (eq_ref0 b) as proof of (((eq n) b) c0)
% 73.67/74.03 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 73.67/74.03 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 73.67/74.03 Found ((eq_ref n) b) as proof of (((eq n) b) c0)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 73.67/74.03 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 73.67/74.03 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 73.67/74.03 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 73.67/74.03 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 73.67/74.03 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 73.67/74.03 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 73.67/74.03 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 73.67/74.03 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 73.67/74.03 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 73.67/74.03 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 73.67/74.03 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 73.67/74.03 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 73.67/74.03 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 73.67/74.03 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 73.67/74.03 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 73.67/74.03 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 73.67/74.03 Found x:(P1 c0)
% 73.67/74.03 Instantiate: b:=c0:n
% 73.67/74.03 Found x as proof of (P2 b)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 73.67/74.03 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 73.67/74.03 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 73.67/74.03 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 73.67/74.03 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 73.67/74.03 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 80.58/80.95 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 80.58/80.95 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 80.58/80.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 80.58/80.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 80.58/80.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 80.58/80.95 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 80.58/80.95 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 80.58/80.95 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 80.58/80.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 80.58/80.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 80.58/80.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 80.58/80.95 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 80.58/80.95 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found x2:(P b)
% 80.58/80.95 Found (fun (x2:(P b))=> x2) as proof of (P b)
% 80.58/80.95 Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 80.58/80.95 Found x00:(P1 c0)
% 80.58/80.95 Found (fun (x00:(P1 c0))=> x00) as proof of (P1 c0)
% 80.58/80.95 Found (fun (x00:(P1 c0))=> x00) as proof of (P2 c0)
% 80.58/80.95 Found x:(P b)
% 80.58/80.95 Instantiate: b0:=b:n
% 80.58/80.95 Found x as proof of (P0 b0)
% 80.58/80.95 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 80.58/80.95 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 80.58/80.95 Found x:(P b)
% 80.58/80.95 Instantiate: b0:=b:n
% 80.58/80.95 Found x as proof of (P0 b0)
% 80.58/80.95 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 80.58/80.95 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 80.58/80.95 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 80.58/80.95 Found (eq_ref0 b1) as proof of (((eq n) b1) c0)
% 80.58/80.95 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 80.58/80.95 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 80.58/80.95 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 80.58/80.95 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 80.58/80.95 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 80.58/80.95 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 80.58/80.95 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 80.58/80.95 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 80.58/80.95 Found x:(P c0)
% 80.58/80.95 Instantiate: b:=c0:n
% 80.58/80.95 Found x as proof of (P0 b)
% 80.58/80.95 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 80.58/80.95 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 80.58/80.95 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 80.58/80.95 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 80.58/80.95 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 80.58/80.95 Found x3:(P c0)
% 80.58/80.95 Found (fun (x3:(P c0))=> x3) as proof of (P c0)
% 80.58/80.95 Found (fun (x3:(P c0))=> x3) as proof of (P0 c0)
% 80.58/80.95 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 80.58/80.95 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 80.58/80.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 80.58/80.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 80.58/80.95 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 80.58/80.95 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 80.58/80.95 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 80.58/80.95 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 80.58/80.95 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 86.35/86.75 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 86.35/86.75 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 86.35/86.75 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 86.35/86.75 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 86.35/86.75 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 86.35/86.75 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 86.35/86.75 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 86.35/86.75 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 86.35/86.75 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 86.35/86.75 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 86.35/86.75 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 86.35/86.75 Found x:(P c0)
% 86.35/86.75 Instantiate: a:=c0:n
% 86.35/86.75 Found x as proof of (P0 a)
% 86.35/86.75 Found x:(P c0)
% 86.35/86.75 Instantiate: a:=c0:n
% 86.35/86.75 Found x as proof of (P0 a)
% 86.35/86.75 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 86.35/86.75 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 86.35/86.75 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 86.35/86.75 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 86.35/86.75 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 86.35/86.75 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 86.35/86.75 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 86.35/86.75 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 86.35/86.75 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 86.35/86.75 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 86.35/86.75 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 86.35/86.75 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 86.35/86.75 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 86.35/86.75 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 86.35/86.75 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 86.35/86.75 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 86.35/86.75 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 86.35/86.75 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 86.35/86.75 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 86.35/86.75 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 86.35/86.75 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 86.35/86.75 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 86.35/86.75 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 86.35/86.75 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 86.35/86.75 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 86.35/86.75 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 86.35/86.75 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 86.35/86.75 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 86.35/86.75 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 86.35/86.75 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 86.35/86.75 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 86.35/86.75 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 86.35/86.75 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 86.35/86.75 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 86.35/86.75 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 86.35/86.75 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 86.35/86.75 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 86.35/86.75 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 86.35/86.75 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 86.35/86.75 Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 86.35/86.75 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 86.35/86.75 Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 86.35/86.75 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 86.35/86.75 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 86.35/86.75 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 86.35/86.75 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 86.35/86.75 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 86.35/86.75 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 86.35/86.75 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 86.35/86.75 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 86.35/86.75 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 93.88/94.22 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 93.88/94.22 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 93.88/94.22 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 93.88/94.22 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 93.88/94.22 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 93.88/94.22 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 93.88/94.22 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 93.88/94.22 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 93.88/94.22 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 93.88/94.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 93.88/94.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 93.88/94.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 93.88/94.22 Found x2:(P1 b)
% 93.88/94.22 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 93.88/94.22 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 93.88/94.22 Found x2:(P1 b)
% 93.88/94.22 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 93.88/94.22 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 93.88/94.22 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 93.88/94.22 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 93.88/94.22 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 93.88/94.22 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 93.88/94.22 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 93.88/94.22 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 93.88/94.22 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 93.88/94.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 93.88/94.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 93.88/94.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 93.88/94.22 Found x:(P b)
% 93.88/94.22 Found x as proof of (P0 ((c_star Xx) c0))
% 93.88/94.22 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 93.88/94.22 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 93.88/94.22 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 93.88/94.22 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 93.88/94.22 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 93.88/94.22 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 93.88/94.22 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 93.88/94.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 93.88/94.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 93.88/94.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 93.88/94.22 Found x2:(P b)
% 93.88/94.22 Found (fun (x2:(P b))=> x2) as proof of (P b)
% 93.88/94.22 Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 93.88/94.22 Found x:(P1 c0)
% 93.88/94.22 Instantiate: b:=c0:n
% 93.88/94.22 Found x as proof of (P2 b)
% 93.88/94.22 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 93.88/94.22 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 93.88/94.22 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 93.88/94.22 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 93.88/94.22 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b)
% 93.88/94.22 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 93.88/94.22 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 93.88/94.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 93.88/94.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 93.88/94.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 93.88/94.22 Found x:(P0 b0)
% 93.88/94.22 Instantiate: b0:=((c_star Xx) c0):n
% 93.88/94.22 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 93.88/94.22 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 93.88/94.22 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 93.88/94.22 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 93.88/94.22 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 93.88/94.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 93.88/94.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 93.88/94.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 93.88/94.22 Found x:(P0 b0)
% 93.88/94.22 Instantiate: b0:=((c_star Xx) c0):n
% 93.88/94.22 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 93.88/94.22 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 93.88/94.22 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 93.88/94.22 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 93.88/94.22 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 93.88/94.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 93.88/94.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 93.88/94.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 93.88/94.22 Found x:(P0 b0)
% 93.88/94.22 Instantiate: b0:=((c_star Xx) c0):n
% 93.88/94.22 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 98.46/98.83 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 98.46/98.83 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 98.46/98.83 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 98.46/98.83 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 98.46/98.83 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 98.46/98.83 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 98.46/98.83 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 98.46/98.83 Found x:(P0 b0)
% 98.46/98.83 Instantiate: b0:=((c_star Xx) c0):n
% 98.46/98.83 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 98.46/98.83 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 98.46/98.83 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 98.46/98.83 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 98.46/98.83 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 98.46/98.83 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 98.46/98.83 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 98.46/98.83 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 98.46/98.83 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 98.46/98.83 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 98.46/98.83 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 98.46/98.83 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 98.46/98.83 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 98.46/98.83 Found x:(P c0)
% 98.46/98.83 Instantiate: b0:=c0:n
% 98.46/98.83 Found x as proof of (P0 b0)
% 98.46/98.83 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 98.46/98.83 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found x:(P c0)
% 98.46/98.83 Instantiate: b0:=c0:n
% 98.46/98.83 Found x as proof of (P0 b0)
% 98.46/98.83 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 98.46/98.83 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found x:(P c0)
% 98.46/98.83 Instantiate: b0:=c0:n
% 98.46/98.83 Found x as proof of (P0 b0)
% 98.46/98.83 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 98.46/98.83 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found x:(P c0)
% 98.46/98.83 Instantiate: b0:=c0:n
% 98.46/98.83 Found x as proof of (P0 b0)
% 98.46/98.83 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 98.46/98.83 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 98.46/98.83 Found x3:(P1 c0)
% 98.46/98.83 Found (fun (x3:(P1 c0))=> x3) as proof of (P1 c0)
% 98.46/98.83 Found (fun (x3:(P1 c0))=> x3) as proof of (P2 c0)
% 98.46/98.83 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 98.46/98.83 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 98.46/98.83 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 98.46/98.83 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 98.46/98.83 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 98.46/98.83 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 98.46/98.83 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 98.46/98.83 Found x3:(P1 c0)
% 98.46/98.83 Found (fun (x3:(P1 c0))=> x3) as proof of (P1 c0)
% 98.46/98.83 Found (fun (x3:(P1 c0))=> x3) as proof of (P2 c0)
% 98.46/98.83 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 98.46/98.83 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 98.46/98.83 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 98.46/98.83 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 98.46/98.83 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 98.46/98.83 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 98.46/98.83 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 98.46/98.83 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 98.46/98.83 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 98.46/98.83 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 98.46/98.83 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 98.46/98.83 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 98.46/98.83 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 106.97/107.37 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 106.97/107.37 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 106.97/107.37 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 106.97/107.37 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 106.97/107.37 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 106.97/107.37 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 106.97/107.37 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 106.97/107.37 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 106.97/107.37 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 106.97/107.37 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 106.97/107.37 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 106.97/107.37 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 106.97/107.37 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 106.97/107.37 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 106.97/107.37 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 106.97/107.37 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 106.97/107.37 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 106.97/107.37 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 106.97/107.37 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 106.97/107.37 Found x00:(P1 c0)
% 106.97/107.37 Found (fun (x00:(P1 c0))=> x00) as proof of (P1 c0)
% 106.97/107.37 Found (fun (x00:(P1 c0))=> x00) as proof of (P2 c0)
% 106.97/107.37 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 106.97/107.37 Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 106.97/107.37 Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 106.97/107.37 Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 106.97/107.37 Found (eq_ref0 a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found ((eq_ref n) a) as proof of (((eq n) a) c0)
% 106.97/107.37 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 106.97/107.37 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 106.97/107.37 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 106.97/107.37 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 106.97/107.37 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 106.97/107.37 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 106.97/107.37 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 106.97/107.37 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 106.97/107.37 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 106.97/107.37 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 106.97/107.37 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 106.97/107.37 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 106.97/107.37 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 106.97/107.37 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 106.97/107.37 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 106.97/107.37 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 106.97/107.37 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 106.97/107.37 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 106.97/107.37 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 106.97/107.37 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 106.97/107.37 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 106.97/107.37 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 106.97/107.37 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 106.97/107.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 123.43/123.82 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 123.43/123.82 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 123.43/123.82 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 123.43/123.82 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 123.43/123.82 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 123.43/123.82 Found x2:(P1 c0)
% 123.43/123.82 Found (fun (x2:(P1 c0))=> x2) as proof of (P1 c0)
% 123.43/123.82 Found (fun (x2:(P1 c0))=> x2) as proof of (P2 c0)
% 123.43/123.82 Found x2:(P1 c0)
% 123.43/123.82 Found (fun (x2:(P1 c0))=> x2) as proof of (P1 c0)
% 123.43/123.82 Found (fun (x2:(P1 c0))=> x2) as proof of (P2 c0)
% 123.43/123.82 Found x2:(P1 b)
% 123.43/123.82 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 123.43/123.82 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 123.43/123.82 Found x2:(P1 c0)
% 123.43/123.82 Found (fun (x2:(P1 c0))=> x2) as proof of (P1 c0)
% 123.43/123.82 Found (fun (x2:(P1 c0))=> x2) as proof of (P2 c0)
% 123.43/123.82 Found x2:(P1 c0)
% 123.43/123.82 Found (fun (x2:(P1 c0))=> x2) as proof of (P1 c0)
% 123.43/123.82 Found (fun (x2:(P1 c0))=> x2) as proof of (P2 c0)
% 123.43/123.82 Found x2:(P1 b)
% 123.43/123.82 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 123.43/123.82 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 123.43/123.82 Found x2:(P0 b)
% 123.43/123.82 Found (fun (x2:(P0 b))=> x2) as proof of (P0 b)
% 123.43/123.82 Found (fun (x2:(P0 b))=> x2) as proof of (P1 b)
% 123.43/123.82 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 123.43/123.82 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 123.43/123.82 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 123.43/123.82 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 123.43/123.82 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 123.43/123.82 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 123.43/123.82 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 123.43/123.82 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 123.43/123.82 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 123.43/123.82 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found x2:(P0 b)
% 123.43/123.82 Found (fun (x2:(P0 b))=> x2) as proof of (P0 b)
% 123.43/123.82 Found (fun (x2:(P0 b))=> x2) as proof of (P1 b)
% 123.43/123.82 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 123.43/123.82 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 123.43/123.82 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 123.43/123.82 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 123.43/123.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.19 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 125.76/126.19 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 125.76/126.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.19 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 125.76/126.19 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 125.76/126.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.19 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 125.76/126.19 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 125.76/126.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.19 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 125.76/126.19 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 125.76/126.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.19 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 125.76/126.20 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 125.76/126.20 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found x:(P b)
% 125.76/126.20 Instantiate: b0:=b:n
% 125.76/126.20 Found x as proof of (P0 b0)
% 125.76/126.20 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 125.76/126.20 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found x:(P b)
% 125.76/126.20 Instantiate: b0:=b:n
% 125.76/126.20 Found x as proof of (P0 b0)
% 125.76/126.20 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 125.76/126.20 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 125.76/126.20 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 125.76/126.20 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 125.76/126.20 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 125.76/126.20 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 125.76/126.20 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 125.76/126.20 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 125.76/126.20 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 125.76/126.20 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 125.76/126.20 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 125.76/126.20 Found x2:(P0 b)
% 129.26/129.68 Found (fun (x2:(P0 b))=> x2) as proof of (P0 b)
% 129.26/129.68 Found (fun (x2:(P0 b))=> x2) as proof of (P1 b)
% 129.26/129.68 Found x2:(P b0)
% 129.26/129.68 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 129.26/129.68 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 129.26/129.68 Found x2:(P b0)
% 129.26/129.68 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 129.26/129.68 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 129.26/129.68 Found x:(P c0)
% 129.26/129.68 Found x as proof of (P0 c0)
% 129.26/129.68 Found x:(P c0)
% 129.26/129.68 Found x as proof of (P0 c0)
% 129.26/129.68 Found x2:(P0 b)
% 129.26/129.68 Found (fun (x2:(P0 b))=> x2) as proof of (P0 b)
% 129.26/129.68 Found (fun (x2:(P0 b))=> x2) as proof of (P1 b)
% 129.26/129.68 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 129.26/129.68 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 129.26/129.68 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 129.26/129.68 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 129.26/129.68 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 129.26/129.68 Found x:(P0 b0)
% 129.26/129.68 Instantiate: b0:=c0:n
% 129.26/129.68 Found (fun (x:(P0 b0))=> x) as proof of (P0 c0)
% 129.26/129.68 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 c0))
% 129.26/129.68 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 129.26/129.68 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 129.26/129.68 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 129.26/129.68 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 129.26/129.68 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 129.26/129.68 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 129.26/129.68 Found x:(P0 b0)
% 129.26/129.68 Instantiate: b0:=c0:n
% 129.26/129.68 Found (fun (x:(P0 b0))=> x) as proof of (P0 c0)
% 129.26/129.68 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 c0))
% 129.26/129.68 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 129.26/129.68 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 129.26/129.68 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 129.26/129.68 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 129.26/129.68 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 129.26/129.68 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 129.26/129.68 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 129.26/129.68 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 129.26/129.68 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 129.26/129.68 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 129.26/129.68 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 129.26/129.68 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 129.26/129.68 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 129.26/129.68 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 129.26/129.68 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found x:(P0 b)
% 129.26/129.68 Instantiate: b0:=b:n
% 129.26/129.68 Found (fun (x:(P0 b))=> x) as proof of (P0 b0)
% 129.26/129.68 Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 b0))
% 129.26/129.68 Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of (P b0)
% 129.26/129.68 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 129.26/129.68 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 129.26/129.68 Found x:(P0 b)
% 129.26/129.68 Instantiate: b0:=b:n
% 129.26/129.68 Found (fun (x:(P0 b))=> x) as proof of (P0 b0)
% 129.26/129.68 Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 b0))
% 129.26/129.68 Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of (P b0)
% 129.26/129.68 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 129.26/129.68 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 129.26/129.68 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 129.26/129.68 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 129.26/129.68 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 129.26/129.68 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 129.26/129.68 Found (eq_ref0 b1) as proof of (((eq n) b1) c0)
% 129.26/129.68 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 129.26/129.68 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 129.26/129.68 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 137.34/137.77 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 137.34/137.77 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 137.34/137.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 137.34/137.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 137.34/137.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 137.34/137.77 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 137.34/137.77 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 137.34/137.77 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 137.34/137.77 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 137.34/137.77 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 137.34/137.77 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 137.34/137.77 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 137.34/137.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 137.34/137.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 137.34/137.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 137.34/137.77 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 137.34/137.77 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 137.34/137.77 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 137.34/137.77 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 137.34/137.77 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 137.34/137.77 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 137.34/137.77 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 137.34/137.77 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 137.34/137.77 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 137.34/137.77 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 137.34/137.77 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 137.34/137.77 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 137.34/137.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 137.34/137.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 137.34/137.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 137.34/137.77 Found x2:(P c0)
% 137.34/137.77 Found (fun (x2:(P c0))=> x2) as proof of (P c0)
% 137.34/137.77 Found (fun (x2:(P c0))=> x2) as proof of (P0 c0)
% 137.34/137.77 Found x2:(P c0)
% 137.34/137.77 Found (fun (x2:(P c0))=> x2) as proof of (P c0)
% 137.34/137.77 Found (fun (x2:(P c0))=> x2) as proof of (P0 c0)
% 137.34/137.77 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 137.34/137.77 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 137.34/137.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 137.34/137.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 137.34/137.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 137.34/137.77 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 137.34/137.77 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 137.34/137.77 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 137.34/137.77 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 137.34/137.77 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 137.34/137.77 Found x:(P0 ((c_star Xx) c0))
% 137.34/137.77 Found (fun (x:(P0 ((c_star Xx) c0)))=> x) as proof of (P0 b)
% 137.34/137.77 Found (fun (P0:(n->Prop)) (x:(P0 ((c_star Xx) c0)))=> x) as proof of ((P0 ((c_star Xx) c0))->(P0 b))
% 137.34/137.77 Found (fun (P0:(n->Prop)) (x:(P0 ((c_star Xx) c0)))=> x) as proof of (P ((c_star Xx) c0))
% 137.34/137.77 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 137.34/137.77 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 137.34/137.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 137.34/137.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 137.34/137.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 137.34/137.77 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 137.34/137.77 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 137.34/137.77 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 137.34/137.77 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 137.34/137.77 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 137.34/137.77 Found x:(P0 ((c_star Xx) c0))
% 137.34/137.77 Found (fun (x:(P0 ((c_star Xx) c0)))=> x) as proof of (P0 b)
% 137.34/137.77 Found (fun (P0:(n->Prop)) (x:(P0 ((c_star Xx) c0)))=> x) as proof of ((P0 ((c_star Xx) c0))->(P0 b))
% 137.34/137.77 Found (fun (P0:(n->Prop)) (x:(P0 ((c_star Xx) c0)))=> x) as proof of (P ((c_star Xx) c0))
% 137.34/137.77 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 137.34/137.77 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 137.34/137.77 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 137.34/137.77 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 137.34/137.77 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 142.15/142.58 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 142.15/142.58 Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 142.15/142.58 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 142.15/142.58 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 142.15/142.58 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 142.15/142.58 Found x:(P c0)
% 142.15/142.58 Instantiate: b0:=c0:n
% 142.15/142.58 Found x as proof of (P0 b0)
% 142.15/142.58 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 142.15/142.58 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 142.15/142.58 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 142.15/142.58 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 142.15/142.58 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 142.15/142.58 Found x:(P c0)
% 142.15/142.58 Instantiate: b0:=c0:n
% 142.15/142.58 Found x as proof of (P0 b0)
% 142.15/142.58 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 142.15/142.58 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 142.15/142.58 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 142.15/142.58 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 142.15/142.58 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 142.15/142.58 Found x3:(P c0)
% 142.15/142.58 Found (fun (x3:(P c0))=> x3) as proof of (P c0)
% 142.15/142.58 Found (fun (x3:(P c0))=> x3) as proof of (P0 c0)
% 142.15/142.58 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 142.15/142.58 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 142.15/142.58 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found x3:(P c0)
% 142.15/142.58 Found (fun (x3:(P c0))=> x3) as proof of (P c0)
% 142.15/142.58 Found (fun (x3:(P c0))=> x3) as proof of (P0 c0)
% 142.15/142.58 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 142.15/142.58 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 142.15/142.58 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found x:(P b)
% 142.15/142.58 Found x as proof of (P0 ((c_star Xx) c0))
% 142.15/142.58 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 142.15/142.58 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 142.15/142.58 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 142.15/142.58 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 142.15/142.58 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 142.15/142.58 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 142.15/142.58 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 142.15/142.58 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 142.15/142.58 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 142.15/142.58 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 142.15/142.58 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 142.15/142.58 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 142.15/142.58 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 142.15/142.58 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 142.15/142.58 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 142.15/142.58 Found x:(P b)
% 142.15/142.58 Instantiate: b0:=b:n
% 142.15/142.58 Found x as proof of (P0 b0)
% 142.15/142.58 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 142.15/142.58 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 142.15/142.58 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 161.84/162.22 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 161.84/162.22 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 161.84/162.22 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 161.84/162.22 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 161.84/162.22 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 161.84/162.22 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 161.84/162.22 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 161.84/162.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 161.84/162.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 161.84/162.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 161.84/162.22 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 161.84/162.22 Found (eq_ref0 c0) as proof of (((eq n) c0) b00)
% 161.84/162.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 161.84/162.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 161.84/162.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 161.84/162.22 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 161.84/162.22 Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 161.84/162.22 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 161.84/162.22 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 161.84/162.22 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 161.84/162.22 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 161.84/162.22 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 161.84/162.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 161.84/162.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 161.84/162.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 161.84/162.22 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 161.84/162.22 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 161.84/162.22 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 161.84/162.22 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 161.84/162.22 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 161.84/162.22 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 161.84/162.22 Found (eq_ref0 c0) as proof of (((eq n) c0) b00)
% 161.84/162.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 161.84/162.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 161.84/162.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 161.84/162.22 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 161.84/162.22 Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 161.84/162.22 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 161.84/162.22 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 161.84/162.22 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 161.84/162.22 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 161.84/162.22 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 161.84/162.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 161.84/162.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 161.84/162.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 161.84/162.22 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 161.84/162.22 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 161.84/162.22 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 161.84/162.22 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 161.84/162.22 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 161.84/162.22 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 161.84/162.22 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 161.84/162.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 161.84/162.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 161.84/162.22 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 161.84/162.22 Found x0:(P2 b0)
% 161.84/162.22 Instantiate: b0:=((c_star Xx) c0):n
% 161.84/162.22 Found (fun (x0:(P2 b0))=> x0) as proof of (P2 b)
% 161.84/162.22 Found (fun (P2:(n->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 b))
% 161.84/162.22 Found (fun (P2:(n->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 161.84/162.22 Found x0:(P1 c0)
% 161.84/162.22 Instantiate: b0:=c0:n
% 161.84/162.22 Found x0 as proof of (P2 b0)
% 161.84/162.22 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 161.84/162.22 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 161.84/162.22 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 161.84/162.22 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 161.84/162.22 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 161.84/162.22 Found x2:(P c0)
% 161.84/162.22 Found (fun (x2:(P c0))=> x2) as proof of (P c0)
% 161.84/162.22 Found (fun (x2:(P c0))=> x2) as proof of (P0 c0)
% 161.84/162.22 Found x2:(P b0)
% 161.84/162.22 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 161.84/162.22 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 161.84/162.22 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 161.84/162.22 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 161.84/162.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 161.84/162.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 161.84/162.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 161.84/162.22 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.65/164.07 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.65/164.07 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.65/164.07 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.65/164.07 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.65/164.07 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.65/164.07 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.65/164.07 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.65/164.07 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 163.65/164.07 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 163.65/164.07 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 163.65/164.07 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 163.65/164.07 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 163.65/164.07 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 163.65/164.07 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.65/164.07 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.65/164.07 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.65/164.07 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 163.65/164.07 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 163.65/164.07 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 163.65/164.07 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 163.65/164.07 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 163.65/164.07 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 163.65/164.07 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.65/164.07 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.65/164.07 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 163.65/164.07 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 163.65/164.07 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 163.65/164.07 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 171.04/171.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 171.04/171.42 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 171.04/171.42 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 171.04/171.42 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 171.04/171.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 171.04/171.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 171.04/171.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 171.04/171.42 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 171.04/171.42 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 171.04/171.42 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 171.04/171.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 171.04/171.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 171.04/171.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 171.04/171.42 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 171.04/171.42 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 171.04/171.42 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 171.04/171.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 171.04/171.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 171.04/171.42 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 171.04/171.42 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 171.04/171.42 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 171.04/171.42 Found x2:(P1 c0)
% 171.04/171.42 Found (fun (x2:(P1 c0))=> x2) as proof of (P1 c0)
% 171.04/171.42 Found (fun (x2:(P1 c0))=> x2) as proof of (P2 c0)
% 171.04/171.42 Found x2:(P1 c0)
% 171.04/171.42 Found (fun (x2:(P1 c0))=> x2) as proof of (P1 c0)
% 171.04/171.42 Found (fun (x2:(P1 c0))=> x2) as proof of (P2 c0)
% 171.04/171.42 Found x2:(P1 b)
% 171.04/171.42 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 171.04/171.42 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 171.04/171.42 Found x2:(P b0)
% 171.04/171.42 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 171.04/171.42 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 171.04/171.42 Found x2:(P b0)
% 171.04/171.42 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 171.04/171.42 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 171.04/171.42 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 171.04/171.42 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 171.04/171.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 171.04/171.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 171.04/171.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 171.04/171.42 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 171.04/171.42 Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 171.04/171.42 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 171.04/171.42 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 171.04/171.42 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 171.04/171.42 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 171.04/171.42 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 171.04/171.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 171.04/171.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 171.04/171.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 171.04/171.42 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 171.04/171.42 Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 171.04/171.42 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 171.04/171.42 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 171.04/171.42 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 171.04/171.42 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 171.04/171.42 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 171.04/171.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 171.04/171.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 171.04/171.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 171.04/171.42 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 171.04/171.42 Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 171.04/171.42 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 171.04/171.42 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 171.04/171.42 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 171.04/171.42 Found x:(P b)
% 171.04/171.42 Instantiate: b0:=b:n
% 171.04/171.42 Found x as proof of (P0 b0)
% 171.04/171.42 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 171.04/171.42 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 171.04/171.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 171.04/171.42 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 173.62/174.06 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.62/174.06 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 173.62/174.06 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.62/174.06 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 173.62/174.06 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.62/174.06 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 173.62/174.06 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.62/174.06 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found eq_ref00:=(eq_ref0 ((c_star Xx) b)):(((eq n) ((c_star Xx) b)) ((c_star Xx) b))
% 173.62/174.06 Found (eq_ref0 ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 173.62/174.06 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 173.62/174.06 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 173.62/174.06 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 173.62/174.06 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.62/174.06 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found eq_ref00:=(eq_ref0 ((c_star Xx) b)):(((eq n) ((c_star Xx) b)) ((c_star Xx) b))
% 173.62/174.06 Found (eq_ref0 ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 173.62/174.06 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 173.62/174.06 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 173.62/174.06 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 173.62/174.06 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.62/174.06 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 173.62/174.06 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.62/174.06 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 173.62/174.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 173.62/174.06 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 173.62/174.06 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 173.62/174.06 Found x:(P0 c0)
% 173.62/174.06 Found (fun (x:(P0 c0))=> x) as proof of (P0 c0)
% 173.62/174.06 Found (fun (P0:(n->Prop)) (x:(P0 c0))=> x) as proof of ((P0 c0)->(P0 c0))
% 173.62/174.06 Found (fun (P0:(n->Prop)) (x:(P0 c0))=> x) as proof of (P c0)
% 173.62/174.06 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 173.62/174.06 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 177.64/178.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 177.64/178.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 177.64/178.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 177.64/178.04 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 177.64/178.04 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 177.64/178.04 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 177.64/178.04 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 177.64/178.04 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 177.64/178.04 Found x:(P0 c0)
% 177.64/178.04 Found (fun (x:(P0 c0))=> x) as proof of (P0 c0)
% 177.64/178.04 Found (fun (P0:(n->Prop)) (x:(P0 c0))=> x) as proof of ((P0 c0)->(P0 c0))
% 177.64/178.04 Found (fun (P0:(n->Prop)) (x:(P0 c0))=> x) as proof of (P c0)
% 177.64/178.04 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 177.64/178.04 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found eq_ref00:=(eq_ref0 ((c_star Xx) b)):(((eq n) ((c_star Xx) b)) ((c_star Xx) b))
% 177.64/178.04 Found (eq_ref0 ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 177.64/178.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 177.64/178.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 177.64/178.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 177.64/178.04 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 177.64/178.04 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 177.64/178.04 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 177.64/178.04 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 177.64/178.04 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 177.64/178.04 Found x:(P0 b0)
% 177.64/178.04 Instantiate: b0:=c0:n
% 177.64/178.04 Found (fun (x:(P0 b0))=> x) as proof of (P0 c0)
% 177.64/178.04 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 c0))
% 177.64/178.04 Found (fun (P0:(n->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 177.64/178.04 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 177.64/178.04 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found eq_ref00:=(eq_ref0 ((c_star Xx) b)):(((eq n) ((c_star Xx) b)) ((c_star Xx) b))
% 177.64/178.04 Found (eq_ref0 ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 177.64/178.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 177.64/178.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 177.64/178.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 177.64/178.04 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 177.64/178.04 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 177.64/178.04 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 177.64/178.04 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 177.64/178.04 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 177.64/178.04 Found x:(P0 b)
% 177.64/178.04 Instantiate: b0:=b:n
% 177.64/178.04 Found (fun (x:(P0 b))=> x) as proof of (P0 b0)
% 177.64/178.04 Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 b0))
% 177.64/178.04 Found (fun (P0:(n->Prop)) (x:(P0 b))=> x) as proof of (P b0)
% 177.64/178.04 Found eq_ref00:=(eq_ref0 ((c_star Xx) b)):(((eq n) ((c_star Xx) b)) ((c_star Xx) b))
% 177.64/178.04 Found (eq_ref0 ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 177.64/178.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 177.64/178.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 177.64/178.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 177.64/178.04 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 177.64/178.04 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 177.64/178.04 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 177.64/178.04 Found eq_ref00:=(eq_ref0 ((c_star Xx) b)):(((eq n) ((c_star Xx) b)) ((c_star Xx) b))
% 177.64/178.04 Found (eq_ref0 ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 177.64/178.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 177.64/178.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 177.64/178.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 180.12/180.57 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 180.12/180.57 Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 180.12/180.57 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 180.12/180.57 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 180.12/180.57 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 180.12/180.57 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 180.12/180.57 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 180.12/180.57 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 180.12/180.57 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 180.12/180.57 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 180.12/180.57 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 180.12/180.57 Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 180.12/180.57 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 180.12/180.57 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 180.12/180.57 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 180.12/180.57 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 180.12/180.57 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 180.12/180.57 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 180.12/180.57 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 180.12/180.57 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 180.12/180.57 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 180.12/180.57 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 180.12/180.57 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 180.12/180.57 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 180.12/180.57 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 180.12/180.57 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 180.12/180.57 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 180.12/180.57 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 180.12/180.57 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found x3:(P b)
% 180.12/180.57 Found (fun (x3:(P b))=> x3) as proof of (P b)
% 180.12/180.57 Found (fun (x3:(P b))=> x3) as proof of (P0 b)
% 180.12/180.57 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 180.12/180.57 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 180.12/180.57 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 180.12/180.57 Found x3:(P b)
% 180.12/180.57 Found (fun (x3:(P b))=> x3) as proof of (P b)
% 180.12/180.57 Found (fun (x3:(P b))=> x3) as proof of (P0 b)
% 180.12/180.57 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 180.12/180.57 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 180.12/180.57 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 180.12/180.57 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 190.43/190.80 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 190.43/190.80 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 190.43/190.80 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 190.43/190.80 Found x:(P c0)
% 190.43/190.80 Found x as proof of (P0 c0)
% 190.43/190.80 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 190.43/190.80 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 190.43/190.80 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 190.43/190.80 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 190.43/190.80 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 190.43/190.80 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 190.43/190.80 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 190.43/190.80 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 190.43/190.80 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 190.43/190.80 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 190.43/190.80 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 190.43/190.80 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 190.43/190.80 Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 190.43/190.80 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 190.43/190.80 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 190.43/190.80 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 190.43/190.80 Found x:(P1 b)
% 190.43/190.80 Instantiate: b0:=b:n
% 190.43/190.80 Found x as proof of (P2 b0)
% 190.43/190.80 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 190.43/190.80 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found x3:(P c0)
% 190.43/190.80 Found (fun (x3:(P c0))=> x3) as proof of (P c0)
% 190.43/190.80 Found (fun (x3:(P c0))=> x3) as proof of (P0 c0)
% 190.43/190.80 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 190.43/190.80 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 190.43/190.80 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 190.43/190.80 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 190.43/190.80 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 190.43/190.80 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 190.43/190.80 Found x0:(P1 b)
% 190.43/190.80 Instantiate: b0:=b:n
% 190.43/190.80 Found x0 as proof of (P2 b0)
% 190.43/190.80 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 190.43/190.80 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found x0:(P1 ((c_star Xx) c0))
% 190.43/190.80 Instantiate: b0:=((c_star Xx) c0):n
% 190.43/190.80 Found x0 as proof of (P2 b0)
% 190.43/190.80 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 190.43/190.80 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 190.43/190.80 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 190.43/190.80 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 190.43/190.80 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 190.43/190.80 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 190.43/190.80 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 190.43/190.80 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 190.43/190.80 Found x:(P1 c0)
% 190.43/190.80 Instantiate: a:=c0:n
% 190.43/190.80 Found x as proof of (P2 a)
% 190.43/190.80 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 190.43/190.80 Found (eq_ref0 b00) as proof of (((eq n) b00) c0)
% 190.43/190.80 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 190.43/190.80 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 190.43/190.80 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 190.43/190.80 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 190.43/190.80 Found (eq_ref0 b) as proof of (((eq n) b) b00)
% 190.43/190.80 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 190.43/190.80 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 190.43/190.80 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 190.43/190.80 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 190.43/190.80 Found (eq_ref0 b00) as proof of (((eq n) b00) c0)
% 190.43/190.80 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 190.43/190.80 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 196.74/197.17 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 196.74/197.17 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 196.74/197.17 Found (eq_ref0 b) as proof of (((eq n) b) b00)
% 196.74/197.17 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 196.74/197.17 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 196.74/197.17 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 196.74/197.17 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 196.74/197.17 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found x0:(P2 b)
% 196.74/197.17 Instantiate: b0:=b:n
% 196.74/197.17 Found (fun (x0:(P2 b))=> x0) as proof of (P2 b0)
% 196.74/197.17 Found (fun (P2:(n->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 b0))
% 196.74/197.17 Found (fun (P2:(n->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b0)
% 196.74/197.17 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 196.74/197.17 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 196.74/197.17 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 196.74/197.17 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 196.74/197.17 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 196.74/197.17 Found x0:(P2 b0)
% 196.74/197.17 Instantiate: b0:=c0:n
% 196.74/197.17 Found (fun (x0:(P2 b0))=> x0) as proof of (P2 c0)
% 196.74/197.17 Found (fun (P2:(n->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 c0))
% 196.74/197.17 Found (fun (P2:(n->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 196.74/197.17 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 196.74/197.17 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 196.74/197.17 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 196.74/197.17 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 196.74/197.17 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 196.74/197.17 Found x0:(P2 b0)
% 196.74/197.17 Instantiate: b0:=c0:n
% 196.74/197.17 Found (fun (x0:(P2 b0))=> x0) as proof of (P2 b)
% 196.74/197.17 Found (fun (P2:(n->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 b))
% 196.74/197.17 Found (fun (P2:(n->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 196.74/197.17 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 196.74/197.17 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 196.74/197.17 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 196.74/197.17 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 196.74/197.17 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 196.74/197.17 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 196.74/197.17 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 196.74/197.17 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 196.74/197.17 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 196.74/197.17 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 196.74/197.17 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 196.74/197.17 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 196.74/197.17 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 196.74/197.17 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 196.74/197.17 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 196.74/197.17 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 196.74/197.17 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 196.74/197.17 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found x00:(P1 a)
% 196.74/197.17 Found (fun (x00:(P1 a))=> x00) as proof of (P1 a)
% 196.74/197.17 Found (fun (x00:(P1 a))=> x00) as proof of (P2 a)
% 196.74/197.17 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 196.74/197.17 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 196.74/197.17 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 196.74/197.17 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 196.74/197.17 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 196.74/197.17 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 196.74/197.17 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 196.74/197.17 Found x:(P b)
% 196.74/197.17 Instantiate: a:=b:n
% 196.74/197.17 Found x as proof of (P0 a)
% 196.74/197.17 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 196.74/197.17 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 196.74/197.17 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 196.74/197.17 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 196.74/197.17 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 196.74/197.17 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 204.11/204.49 Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 204.11/204.49 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 204.11/204.49 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 204.11/204.49 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 204.11/204.49 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 204.11/204.49 Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 204.11/204.49 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 204.11/204.49 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 204.11/204.49 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 204.11/204.49 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 204.11/204.49 Found (eq_ref0 c0) as proof of (((eq n) c0) b00)
% 204.11/204.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 204.11/204.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 204.11/204.49 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 204.11/204.49 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 204.11/204.49 Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 204.11/204.49 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 204.11/204.49 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 204.11/204.49 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 204.11/204.49 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 204.11/204.49 Found (eq_ref0 b1) as proof of (((eq n) b1) c0)
% 204.11/204.49 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 204.11/204.49 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 204.11/204.49 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 204.11/204.49 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 204.11/204.49 Found (eq_ref0 b0) as proof of (((eq n) b0) b1)
% 204.11/204.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) b1)
% 204.11/204.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) b1)
% 204.11/204.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) b1)
% 204.11/204.49 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 204.11/204.49 Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 204.11/204.49 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 204.11/204.49 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 204.11/204.49 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 204.11/204.49 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 204.11/204.49 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 204.11/204.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 204.11/204.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 204.11/204.49 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 204.11/204.49 Found x2:(P b0)
% 204.11/204.49 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 204.11/204.49 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 204.11/204.49 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 204.11/204.49 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 204.11/204.49 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 204.11/204.49 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.11/204.49 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.11/204.49 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.11/204.49 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 204.11/204.49 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 204.11/204.49 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 204.11/204.49 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.11/204.49 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.11/204.49 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.11/204.49 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 204.11/204.49 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 204.11/204.49 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 204.11/204.49 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.11/204.49 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.11/204.49 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.11/204.49 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 204.11/204.49 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 204.11/204.49 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 204.11/204.49 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 204.11/204.49 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.11/204.49 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 204.11/204.49 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.92/206.29 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 205.92/206.29 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.92/206.29 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 205.92/206.29 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.92/206.29 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 205.92/206.29 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.92/206.29 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 205.92/206.29 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.92/206.29 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 205.92/206.29 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 205.92/206.29 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 205.92/206.29 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 205.92/206.29 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.92/206.29 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 205.92/206.29 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.92/206.29 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 205.92/206.29 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 205.92/206.29 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 205.92/206.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 205.92/206.29 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 205.92/206.29 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 205.92/206.29 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 205.92/206.29 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 210.82/211.19 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 210.82/211.19 Found x:(P1 b)
% 210.82/211.19 Found x as proof of (P2 ((c_star Xx) c0))
% 210.82/211.19 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 210.82/211.19 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 210.82/211.19 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 210.82/211.19 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 210.82/211.19 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 210.82/211.19 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 210.82/211.19 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 210.82/211.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 210.82/211.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 210.82/211.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 210.82/211.19 Found x2:(P b0)
% 210.82/211.19 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 210.82/211.19 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 210.82/211.19 Found x2:(P b0)
% 210.82/211.19 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 210.82/211.19 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 210.82/211.19 Found x00:(P1 c0)
% 210.82/211.19 Found (fun (x00:(P1 c0))=> x00) as proof of (P1 c0)
% 210.82/211.19 Found (fun (x00:(P1 c0))=> x00) as proof of (P2 c0)
% 210.82/211.19 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 210.82/211.19 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 210.82/211.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 210.82/211.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 210.82/211.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 210.82/211.19 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 210.82/211.19 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 210.82/211.19 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 210.82/211.19 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 210.82/211.19 Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 210.82/211.19 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 210.82/211.19 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 210.82/211.19 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 210.82/211.19 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 210.82/211.19 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found x:(P2 b0)
% 210.82/211.19 Instantiate: b0:=((c_star Xx) c0):n
% 210.82/211.19 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 210.82/211.19 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 210.82/211.19 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 210.82/211.19 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 210.82/211.19 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found x:(P2 b0)
% 210.82/211.19 Instantiate: b0:=((c_star Xx) c0):n
% 210.82/211.19 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 210.82/211.19 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 210.82/211.19 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 210.82/211.19 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 210.82/211.19 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found x:(P2 b0)
% 210.82/211.19 Instantiate: b0:=((c_star Xx) c0):n
% 210.82/211.19 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 210.82/211.19 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 210.82/211.19 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 210.82/211.19 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 210.82/211.19 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 210.82/211.19 Found x:(P2 b0)
% 210.82/211.19 Instantiate: b0:=((c_star Xx) c0):n
% 210.82/211.19 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 210.82/211.19 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 210.82/211.19 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 210.82/211.19 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 215.05/215.50 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found x:(P2 b0)
% 215.05/215.50 Instantiate: b0:=((c_star Xx) c0):n
% 215.05/215.50 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 215.05/215.50 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 215.05/215.50 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 215.05/215.50 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 215.05/215.50 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 215.05/215.50 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 215.05/215.50 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 215.05/215.50 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 215.05/215.50 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 215.05/215.50 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 215.05/215.50 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 215.05/215.50 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 215.05/215.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 215.05/215.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 215.05/215.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 215.05/215.50 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 215.05/215.50 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 215.05/215.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 215.05/215.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 215.05/215.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 215.05/215.50 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 215.05/215.50 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 215.05/215.50 Found x:(P0 c0)
% 215.05/215.50 Found (fun (x:(P0 c0))=> x) as proof of (P0 c0)
% 215.05/215.50 Found (fun (P0:(n->Prop)) (x:(P0 c0))=> x) as proof of ((P0 c0)->(P0 c0))
% 215.05/215.50 Found (fun (P0:(n->Prop)) (x:(P0 c0))=> x) as proof of (P c0)
% 215.05/215.50 Found x:(P1 c0)
% 215.05/215.50 Instantiate: b0:=c0:n
% 215.05/215.50 Found x as proof of (P2 b0)
% 215.05/215.50 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 215.05/215.50 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found x:(P1 c0)
% 215.05/215.50 Instantiate: b0:=c0:n
% 215.05/215.50 Found x as proof of (P2 b0)
% 215.05/215.50 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 215.05/215.50 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found x:(P1 c0)
% 215.05/215.50 Instantiate: b0:=c0:n
% 215.05/215.50 Found x as proof of (P2 b0)
% 215.05/215.50 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 215.05/215.50 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found x:(P1 c0)
% 215.05/215.50 Instantiate: b0:=c0:n
% 215.05/215.50 Found x as proof of (P2 b0)
% 215.05/215.50 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 215.05/215.50 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found x:(P1 c0)
% 215.05/215.50 Instantiate: b0:=c0:n
% 215.05/215.50 Found x as proof of (P2 b0)
% 215.05/215.50 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 215.05/215.50 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 215.05/215.50 Found x:(P1 b)
% 215.05/215.50 Instantiate: b0:=b:n
% 215.05/215.50 Found x as proof of (P2 b0)
% 215.05/215.50 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 215.05/215.50 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 220.61/221.04 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 220.61/221.04 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 220.61/221.04 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 220.61/221.04 Found x:(P0 b)
% 220.61/221.04 Instantiate: b0:=b:n
% 220.61/221.04 Found x as proof of (P1 b0)
% 220.61/221.04 Found eq_ref00:=(eq_ref0 ((c_star Xx) b)):(((eq n) ((c_star Xx) b)) ((c_star Xx) b))
% 220.61/221.04 Found (eq_ref0 ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 220.61/221.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 220.61/221.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 220.61/221.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 220.61/221.04 Found x:(P1 b)
% 220.61/221.04 Found x as proof of (P2 c0)
% 220.61/221.04 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 220.61/221.04 Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 220.61/221.04 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 220.61/221.04 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 220.61/221.04 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 220.61/221.04 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 220.61/221.04 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 220.61/221.04 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 220.61/221.04 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 220.61/221.04 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 220.61/221.04 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 220.61/221.04 Found (eq_ref0 c0) as proof of (((eq n) c0) b00)
% 220.61/221.04 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 220.61/221.04 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 220.61/221.04 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 220.61/221.04 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 220.61/221.04 Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 220.61/221.04 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 220.61/221.04 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 220.61/221.04 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 220.61/221.04 Found x3:(P b)
% 220.61/221.04 Found (fun (x3:(P b))=> x3) as proof of (P b)
% 220.61/221.04 Found (fun (x3:(P b))=> x3) as proof of (P0 b)
% 220.61/221.04 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 220.61/221.04 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 220.61/221.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 220.61/221.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 220.61/221.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 220.61/221.04 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 220.61/221.04 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 220.61/221.04 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.61/221.04 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.61/221.04 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.61/221.04 Found x3:(P b)
% 220.61/221.04 Found (fun (x3:(P b))=> x3) as proof of (P b)
% 220.61/221.04 Found (fun (x3:(P b))=> x3) as proof of (P0 b)
% 220.61/221.04 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 220.61/221.04 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 220.61/221.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 220.61/221.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 220.61/221.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 220.61/221.04 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 220.61/221.04 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 220.61/221.04 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.61/221.04 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.61/221.04 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.61/221.04 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 220.61/221.04 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 220.61/221.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 220.61/221.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 220.61/221.04 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 220.61/221.04 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 220.61/221.04 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 220.61/221.04 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.61/221.04 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.61/221.04 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 220.61/221.04 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 220.61/221.04 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 220.61/221.04 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 220.61/221.04 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 220.61/221.04 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 220.61/221.04 Found x:(P0 b)
% 220.61/221.04 Instantiate: b0:=b:n
% 220.61/221.04 Found x as proof of (P1 b0)
% 220.61/221.04 Found eq_ref00:=(eq_ref0 ((c_star Xx) b)):(((eq n) ((c_star Xx) b)) ((c_star Xx) b))
% 220.61/221.04 Found (eq_ref0 ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 220.61/221.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 220.61/221.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 220.61/221.04 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 226.74/227.20 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 226.74/227.20 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 226.74/227.20 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 226.74/227.20 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 226.74/227.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 226.74/227.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 226.74/227.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 226.74/227.20 Found x:(P b0)
% 226.74/227.20 Instantiate: b1:=b0:n
% 226.74/227.20 Found x as proof of (P0 b1)
% 226.74/227.20 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 226.74/227.20 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 226.74/227.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 226.74/227.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 226.74/227.20 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 226.74/227.20 Found x00:(P1 a)
% 226.74/227.20 Found (fun (x00:(P1 a))=> x00) as proof of (P1 a)
% 226.74/227.20 Found (fun (x00:(P1 a))=> x00) as proof of (P2 a)
% 226.74/227.20 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 226.74/227.20 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 226.74/227.20 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 226.74/227.20 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 226.74/227.20 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 226.74/227.20 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 226.74/227.20 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 226.74/227.20 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 226.74/227.20 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 226.74/227.20 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 226.74/227.20 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 226.74/227.20 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 226.74/227.20 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 226.74/227.20 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 226.74/227.20 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 226.74/227.20 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 226.74/227.20 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 226.74/227.20 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 226.74/227.20 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 226.74/227.20 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 226.74/227.20 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 226.74/227.20 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 226.74/227.20 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 226.74/227.20 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 226.74/227.20 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 226.74/227.20 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 226.74/227.20 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 226.74/227.20 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 226.74/227.20 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 226.74/227.20 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 226.74/227.20 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 226.74/227.20 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 226.74/227.20 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 226.74/227.20 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 226.74/227.20 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 226.74/227.20 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 226.74/227.20 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 226.74/227.20 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 226.74/227.20 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 237.90/238.30 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 237.90/238.30 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 237.90/238.30 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 237.90/238.30 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 237.90/238.30 Found x00:(P1 c0)
% 237.90/238.30 Found (fun (x00:(P1 c0))=> x00) as proof of (P1 c0)
% 237.90/238.30 Found (fun (x00:(P1 c0))=> x00) as proof of (P2 c0)
% 237.90/238.30 Found x00:(P1 c0)
% 237.90/238.30 Found (fun (x00:(P1 c0))=> x00) as proof of (P1 c0)
% 237.90/238.30 Found (fun (x00:(P1 c0))=> x00) as proof of (P2 c0)
% 237.90/238.30 Found x:(P c0)
% 237.90/238.30 Instantiate: a:=c0:n
% 237.90/238.30 Found x as proof of (P0 a)
% 237.90/238.30 Found x:(P c0)
% 237.90/238.30 Instantiate: a:=c0:n
% 237.90/238.30 Found x as proof of (P0 a)
% 237.90/238.30 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 237.90/238.30 Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 237.90/238.30 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 237.90/238.30 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 237.90/238.30 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 237.90/238.30 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 237.90/238.30 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 237.90/238.30 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 237.90/238.30 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 237.90/238.30 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 237.90/238.30 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 237.90/238.30 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 237.90/238.30 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 237.90/238.30 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 237.90/238.30 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 237.90/238.30 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 237.90/238.30 Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 237.90/238.30 Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 237.90/238.30 Found (eq_ref0 b00) as proof of (((eq n) b00) c0)
% 237.90/238.30 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 237.90/238.30 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 237.90/238.30 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 237.90/238.30 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 237.90/238.30 Found (eq_ref0 b) as proof of (((eq n) b) b00)
% 237.90/238.30 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 237.90/238.30 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 237.90/238.30 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 237.90/238.30 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 237.90/238.30 Found (eq_ref0 b0) as proof of (((eq n) b0) a)
% 237.90/238.30 Found ((eq_ref n) b0) as proof of (((eq n) b0) a)
% 237.90/238.30 Found ((eq_ref n) b0) as proof of (((eq n) b0) a)
% 237.90/238.30 Found ((eq_ref n) b0) as proof of (((eq n) b0) a)
% 237.90/238.30 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 237.90/238.30 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 237.90/238.30 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 237.90/238.30 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 237.90/238.30 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 237.90/238.30 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 237.90/238.30 Found (eq_ref0 b00) as proof of (((eq n) b00) c0)
% 237.90/238.30 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 237.90/238.30 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 237.90/238.30 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 237.90/238.30 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 237.90/238.30 Found (eq_ref0 b) as proof of (((eq n) b) b00)
% 237.90/238.30 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 237.90/238.30 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 237.90/238.30 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 237.90/238.30 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 237.90/238.30 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 237.90/238.30 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 237.90/238.30 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 237.90/238.30 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 237.90/238.30 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 237.90/238.30 Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 237.90/238.30 Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 237.90/238.30 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 247.23/247.70 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 247.23/247.70 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 247.23/247.70 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 247.23/247.70 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 247.23/247.70 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 247.23/247.70 Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 247.23/247.70 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 247.23/247.70 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 247.23/247.70 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 247.23/247.70 Found x2:(P3 c0)
% 247.23/247.70 Found (fun (x2:(P3 c0))=> x2) as proof of (P3 c0)
% 247.23/247.70 Found (fun (x2:(P3 c0))=> x2) as proof of (P4 c0)
% 247.23/247.70 Found x2:(P3 c0)
% 247.23/247.70 Found (fun (x2:(P3 c0))=> x2) as proof of (P3 c0)
% 247.23/247.70 Found (fun (x2:(P3 c0))=> x2) as proof of (P4 c0)
% 247.23/247.70 Found x2:(P2 b)
% 247.23/247.70 Found (fun (x2:(P2 b))=> x2) as proof of (P2 b)
% 247.23/247.70 Found (fun (x2:(P2 b))=> x2) as proof of (P3 b)
% 247.23/247.70 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 247.23/247.70 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 247.23/247.70 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 247.23/247.70 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 247.23/247.70 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 247.23/247.70 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 247.23/247.70 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 247.23/247.70 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 247.23/247.70 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 247.23/247.70 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 247.23/247.70 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 247.23/247.70 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 247.23/247.70 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 247.23/247.70 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 247.23/247.70 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 247.23/247.70 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 247.23/247.70 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 247.23/247.70 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 247.23/247.70 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 247.23/247.70 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 247.23/247.70 Found x2:(P2 b)
% 247.23/247.70 Found (fun (x2:(P2 b))=> x2) as proof of (P2 b)
% 247.23/247.70 Found (fun (x2:(P2 b))=> x2) as proof of (P3 b)
% 247.23/247.70 Found x00:(P1 b)
% 247.23/247.70 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 247.23/247.70 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 247.23/247.70 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 247.23/247.70 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 247.23/247.70 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 247.23/247.70 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 247.23/247.70 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 247.23/247.70 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 247.23/247.70 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 247.23/247.70 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 247.23/247.70 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 247.23/247.70 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 247.23/247.70 Found x00:(P1 ((c_star Xx) c0))
% 247.23/247.70 Found (fun (x00:(P1 ((c_star Xx) c0)))=> x00) as proof of (P1 ((c_star Xx) c0))
% 247.23/247.70 Found (fun (x00:(P1 ((c_star Xx) c0)))=> x00) as proof of (P2 ((c_star Xx) c0))
% 247.23/247.70 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 247.23/247.70 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 247.23/247.70 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 247.23/247.70 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 247.23/247.70 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 247.23/247.70 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 247.23/247.70 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 247.23/247.70 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 247.23/247.70 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 247.23/247.70 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 247.23/247.70 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 247.23/247.70 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 247.23/247.70 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 247.23/247.70 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 247.23/247.70 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 247.23/247.70 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 247.23/247.70 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 247.23/247.70 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 247.23/247.70 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 247.23/247.70 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 247.23/247.70 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 247.23/247.70 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 247.23/247.70 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 247.23/247.70 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 250.53/250.94 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 250.53/250.94 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 250.53/250.94 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 250.53/250.94 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 250.53/250.94 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 250.53/250.94 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 250.53/250.94 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 250.53/250.94 Found x:(P1 ((c_star Xx) c0))
% 250.53/250.94 Instantiate: b0:=((c_star Xx) c0):n
% 250.53/250.94 Found x as proof of (P2 b0)
% 250.53/250.94 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 250.53/250.94 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found x:(P1 b)
% 250.53/250.94 Instantiate: b0:=b:n
% 250.53/250.94 Found x as proof of (P2 b0)
% 250.53/250.94 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 250.53/250.94 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found x:(P1 b)
% 250.53/250.94 Instantiate: b0:=b:n
% 250.53/250.94 Found x as proof of (P2 b0)
% 250.53/250.94 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 250.53/250.94 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found x:(P1 b)
% 250.53/250.94 Instantiate: b0:=b:n
% 250.53/250.94 Found x as proof of (P2 b0)
% 250.53/250.94 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 250.53/250.94 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found x:(P1 b)
% 250.53/250.94 Instantiate: b0:=b:n
% 250.53/250.94 Found x as proof of (P2 b0)
% 250.53/250.94 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 250.53/250.94 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 250.53/250.94 Found x2:(P1 b0)
% 250.53/250.94 Found (fun (x2:(P1 b0))=> x2) as proof of (P1 b0)
% 250.53/250.94 Found (fun (x2:(P1 b0))=> x2) as proof of (P2 b0)
% 250.53/250.94 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 250.53/250.94 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 250.53/250.94 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 250.53/250.94 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 250.53/250.94 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 250.53/250.94 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 250.53/250.94 Found (eq_ref0 b1) as proof of (((eq n) b1) c0)
% 250.53/250.94 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 250.53/250.94 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 255.13/255.53 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 255.13/255.53 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 255.13/255.53 Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 255.13/255.53 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 255.13/255.53 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 255.13/255.53 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 255.13/255.53 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 255.13/255.53 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 255.13/255.53 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 255.13/255.53 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 255.13/255.53 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 255.13/255.53 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 255.13/255.53 Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 255.13/255.53 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 255.13/255.53 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 255.13/255.53 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 255.13/255.53 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 255.13/255.53 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 255.13/255.53 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 255.13/255.53 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 255.13/255.53 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 255.13/255.53 Found x:(P1 c0)
% 255.13/255.53 Found x as proof of (P2 c0)
% 255.13/255.53 Found x:(P1 c0)
% 255.13/255.53 Found x as proof of (P2 c0)
% 255.13/255.53 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 255.13/255.53 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 255.13/255.53 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 255.13/255.53 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 255.13/255.53 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 255.13/255.53 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 255.13/255.53 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 255.13/255.53 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 255.13/255.53 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 255.13/255.53 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 255.13/255.53 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 255.13/255.53 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 255.13/255.53 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 255.13/255.53 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 255.13/255.53 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 255.13/255.53 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 255.13/255.53 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 255.13/255.53 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 255.13/255.53 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 255.13/255.53 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 255.13/255.53 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 255.13/255.53 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 255.13/255.53 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 255.13/255.53 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 255.13/255.53 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 255.13/255.53 Found x:(P2 b0)
% 255.13/255.53 Instantiate: b0:=c0:n
% 255.13/255.53 Found (fun (x:(P2 b0))=> x) as proof of (P2 c0)
% 255.13/255.53 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 c0))
% 255.13/255.53 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 255.13/255.53 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 255.13/255.53 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 255.13/255.53 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 255.13/255.53 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 255.13/255.53 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 255.13/255.53 Found x:(P2 b0)
% 255.13/255.53 Instantiate: b0:=c0:n
% 255.13/255.53 Found (fun (x:(P2 b0))=> x) as proof of (P2 c0)
% 255.13/255.53 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 c0))
% 255.13/255.53 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 255.13/255.53 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 255.13/255.53 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 255.13/255.53 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 255.13/255.53 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 255.13/255.53 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 255.13/255.53 Found x:(P2 b0)
% 255.13/255.53 Instantiate: b0:=c0:n
% 255.13/255.53 Found (fun (x:(P2 b0))=> x) as proof of (P2 c0)
% 255.13/255.53 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 c0))
% 255.13/255.53 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 255.13/255.53 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 255.13/255.53 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 255.13/255.53 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 255.13/255.53 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 255.13/255.53 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 255.13/255.53 Found x:(P2 b0)
% 255.13/255.53 Instantiate: b0:=c0:n
% 255.13/255.53 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 256.98/257.38 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 256.98/257.38 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 256.98/257.38 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 256.98/257.38 Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 256.98/257.38 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 256.98/257.38 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 256.98/257.38 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 256.98/257.38 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 256.98/257.38 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 256.98/257.38 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 256.98/257.38 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 256.98/257.38 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 256.98/257.38 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 256.98/257.38 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 256.98/257.38 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 256.98/257.38 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 256.98/257.38 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 256.98/257.38 Found x:(P2 b0)
% 256.98/257.38 Instantiate: b0:=c0:n
% 256.98/257.38 Found (fun (x:(P2 b0))=> x) as proof of (P2 c0)
% 256.98/257.38 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 c0))
% 256.98/257.38 Found (fun (P2:(n->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 256.98/257.38 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 256.98/257.38 Found (eq_ref0 b1) as proof of (((eq n) b1) b0)
% 256.98/257.38 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 256.98/257.38 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 256.98/257.38 Found ((eq_ref n) b1) as proof of (((eq n) b1) b0)
% 256.98/257.38 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 256.98/257.38 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 256.98/257.38 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 256.98/257.38 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 256.98/257.38 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 256.98/257.38 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 256.98/257.38 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found x:(P2 b)
% 256.98/257.38 Instantiate: b0:=b:n
% 256.98/257.38 Found (fun (x:(P2 b))=> x) as proof of (P2 b0)
% 256.98/257.38 Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of ((P2 b)->(P2 b0))
% 256.98/257.38 Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of (P1 b0)
% 256.98/257.38 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 256.98/257.38 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found x:(P2 b)
% 256.98/257.38 Instantiate: b0:=b:n
% 256.98/257.38 Found (fun (x:(P2 b))=> x) as proof of (P2 b0)
% 256.98/257.38 Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of ((P2 b)->(P2 b0))
% 256.98/257.38 Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of (P1 b0)
% 256.98/257.38 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 256.98/257.38 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found x:(P2 b)
% 256.98/257.38 Instantiate: b0:=b:n
% 256.98/257.38 Found (fun (x:(P2 b))=> x) as proof of (P2 b0)
% 256.98/257.38 Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of ((P2 b)->(P2 b0))
% 256.98/257.38 Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of (P1 b0)
% 256.98/257.38 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 256.98/257.38 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found x:(P2 b)
% 256.98/257.38 Instantiate: b0:=b:n
% 256.98/257.38 Found (fun (x:(P2 b))=> x) as proof of (P2 b0)
% 256.98/257.38 Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of ((P2 b)->(P2 b0))
% 256.98/257.38 Found (fun (P2:(n->Prop)) (x:(P2 b))=> x) as proof of (P1 b0)
% 256.98/257.38 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 256.98/257.38 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 256.98/257.38 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 256.98/257.38 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 262.92/263.37 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 262.92/263.37 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 262.92/263.37 Found x:(P b0)
% 262.92/263.37 Found x as proof of (P0 ((c_star Xx) c0))
% 262.92/263.37 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 262.92/263.37 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 262.92/263.37 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 262.92/263.37 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 262.92/263.37 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 262.92/263.37 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 262.92/263.37 Found (eq_ref0 b1) as proof of (((eq n) b1) c0)
% 262.92/263.37 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 262.92/263.37 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 262.92/263.37 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 262.92/263.37 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 262.92/263.37 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 262.92/263.37 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 262.92/263.37 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 262.92/263.37 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 262.92/263.37 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 262.92/263.37 Found (eq_ref0 b1) as proof of (((eq n) b1) c0)
% 262.92/263.37 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 262.92/263.37 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 262.92/263.37 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 262.92/263.37 Found x00:(P1 b0)
% 262.92/263.37 Found (fun (x00:(P1 b0))=> x00) as proof of (P1 b0)
% 262.92/263.37 Found (fun (x00:(P1 b0))=> x00) as proof of (P2 b0)
% 262.92/263.37 Found eq_ref00:=(eq_ref0 ((c_star Xx) b)):(((eq n) ((c_star Xx) b)) ((c_star Xx) b))
% 262.92/263.37 Found (eq_ref0 ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 262.92/263.37 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 262.92/263.37 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 262.92/263.37 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 262.92/263.37 Found x:(P1 b0)
% 262.92/263.37 Instantiate: b:=b0:n
% 262.92/263.37 Found (fun (x:(P1 b0))=> x) as proof of (P1 b)
% 262.92/263.37 Found (fun (P1:(n->Prop)) (x:(P1 b0))=> x) as proof of ((P1 b0)->(P1 b))
% 262.92/263.37 Found (fun (P1:(n->Prop)) (x:(P1 b0))=> x) as proof of (P0 b0)
% 262.92/263.37 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 262.92/263.37 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 262.92/263.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 262.92/263.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 262.92/263.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 262.92/263.37 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 262.92/263.37 Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 262.92/263.37 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 262.92/263.37 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 262.92/263.37 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 262.92/263.37 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 262.92/263.37 Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 262.92/263.37 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 262.92/263.37 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 262.92/263.37 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 262.92/263.37 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 262.92/263.37 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b00)
% 262.92/263.37 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b00)
% 262.92/263.37 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b00)
% 262.92/263.37 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b00)
% 262.92/263.37 Found x:(P b)
% 262.92/263.37 Instantiate: b0:=b:n
% 262.92/263.37 Found x as proof of (P0 b0)
% 262.92/263.37 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 262.92/263.37 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 262.92/263.37 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 262.92/263.37 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 262.92/263.37 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 262.92/263.37 Found x:(P0 ((c_star Xx) b))
% 262.92/263.37 Instantiate: b0:=((c_star Xx) b):n
% 262.92/263.37 Found x as proof of (P1 b0)
% 262.92/263.37 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 262.92/263.37 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 262.92/263.37 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 262.92/263.37 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 262.92/263.37 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 262.92/263.37 Found eq_ref00:=(eq_ref0 ((c_star Xx) b)):(((eq n) ((c_star Xx) b)) ((c_star Xx) b))
% 265.79/266.19 Found (eq_ref0 ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 265.79/266.19 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 265.79/266.19 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 265.79/266.19 Found ((eq_ref n) ((c_star Xx) b)) as proof of (((eq n) ((c_star Xx) b)) b0)
% 265.79/266.19 Found x:(P1 b0)
% 265.79/266.19 Instantiate: b0:=c0:n
% 265.79/266.19 Found (fun (x:(P1 b0))=> x) as proof of (P1 b)
% 265.79/266.19 Found (fun (P1:(n->Prop)) (x:(P1 b0))=> x) as proof of ((P1 b0)->(P1 b))
% 265.79/266.19 Found (fun (P1:(n->Prop)) (x:(P1 b0))=> x) as proof of (P0 b0)
% 265.79/266.19 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 265.79/266.19 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 265.79/266.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 265.79/266.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 265.79/266.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 265.79/266.19 Found x:(P0 b1)
% 265.79/266.19 Instantiate: b1:=((c_star Xx) c0):n
% 265.79/266.19 Found (fun (x:(P0 b1))=> x) as proof of (P0 b0)
% 265.79/266.19 Found (fun (P0:(n->Prop)) (x:(P0 b1))=> x) as proof of ((P0 b1)->(P0 b0))
% 265.79/266.19 Found (fun (P0:(n->Prop)) (x:(P0 b1))=> x) as proof of (P b1)
% 265.79/266.19 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 265.79/266.19 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 265.79/266.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 265.79/266.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 265.79/266.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 265.79/266.19 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 265.79/266.19 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 265.79/266.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 265.79/266.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 265.79/266.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 265.79/266.19 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 265.79/266.19 Found (eq_ref0 b1) as proof of (((eq n) b1) c0)
% 265.79/266.19 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 265.79/266.19 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 265.79/266.19 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 265.79/266.19 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 265.79/266.19 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 265.79/266.19 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 265.79/266.19 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 265.79/266.19 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 265.79/266.19 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 265.79/266.19 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 265.79/266.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 265.79/266.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 265.79/266.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 265.79/266.19 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 265.79/266.19 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 265.79/266.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 265.79/266.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 265.79/266.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 265.79/266.19 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 265.79/266.19 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 265.79/266.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 265.79/266.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 265.79/266.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 265.79/266.19 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 265.79/266.19 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 265.79/266.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 265.79/266.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 265.79/266.19 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 265.79/266.19 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 265.79/266.19 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 265.79/266.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 265.79/266.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 265.79/266.19 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 265.79/266.19 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 265.79/266.19 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 265.79/266.19 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 265.79/266.19 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 265.79/266.19 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 265.79/266.19 Found x:(P2 ((c_star Xx) c0))
% 265.79/266.19 Found (fun (x:(P2 ((c_star Xx) c0)))=> x) as proof of (P2 b)
% 265.79/266.19 Found (fun (P2:(n->Prop)) (x:(P2 ((c_star Xx) c0)))=> x) as proof of ((P2 ((c_star Xx) c0))->(P2 b))
% 268.24/268.64 Found (fun (P2:(n->Prop)) (x:(P2 ((c_star Xx) c0)))=> x) as proof of (P1 ((c_star Xx) c0))
% 268.24/268.64 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 268.24/268.64 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 268.24/268.64 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 268.24/268.64 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 268.24/268.64 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 268.24/268.64 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 268.24/268.64 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 268.24/268.64 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 268.24/268.64 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 268.24/268.64 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 268.24/268.64 Found x:(P2 ((c_star Xx) c0))
% 268.24/268.64 Found (fun (x:(P2 ((c_star Xx) c0)))=> x) as proof of (P2 b)
% 268.24/268.64 Found (fun (P2:(n->Prop)) (x:(P2 ((c_star Xx) c0)))=> x) as proof of ((P2 ((c_star Xx) c0))->(P2 b))
% 268.24/268.64 Found (fun (P2:(n->Prop)) (x:(P2 ((c_star Xx) c0)))=> x) as proof of (P1 ((c_star Xx) c0))
% 268.24/268.64 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 268.24/268.64 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 268.24/268.64 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 268.24/268.64 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 268.24/268.64 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 268.24/268.64 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 268.24/268.64 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 268.24/268.64 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 268.24/268.64 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 268.24/268.64 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b0)
% 268.24/268.64 Found x:(P2 ((c_star Xx) c0))
% 268.24/268.64 Found (fun (x:(P2 ((c_star Xx) c0)))=> x) as proof of (P2 b)
% 268.24/268.64 Found (fun (P2:(n->Prop)) (x:(P2 ((c_star Xx) c0)))=> x) as proof of ((P2 ((c_star Xx) c0))->(P2 b))
% 268.24/268.64 Found (fun (P2:(n->Prop)) (x:(P2 ((c_star Xx) c0)))=> x) as proof of (P1 ((c_star Xx) c0))
% 268.24/268.64 Found x2:(P1 b0)
% 268.24/268.64 Found (fun (x2:(P1 b0))=> x2) as proof of (P1 b0)
% 268.24/268.64 Found (fun (x2:(P1 b0))=> x2) as proof of (P2 b0)
% 268.24/268.64 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 268.24/268.64 Found (eq_ref0 b1) as proof of (((eq n) b1) c0)
% 268.24/268.64 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 268.24/268.64 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 268.24/268.64 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 268.24/268.64 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 268.24/268.64 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 268.24/268.64 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 268.24/268.64 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 268.24/268.64 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 268.24/268.64 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 268.24/268.64 Found (eq_ref0 b1) as proof of (((eq n) b1) c0)
% 268.24/268.64 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 268.24/268.64 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 268.24/268.64 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 268.24/268.64 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 268.24/268.64 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 268.24/268.64 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 268.24/268.64 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 268.24/268.64 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 268.24/268.64 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 268.24/268.64 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 268.24/268.64 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 268.24/268.64 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 268.24/268.64 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 268.24/268.64 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 268.24/268.64 Found (eq_ref0 b1) as proof of (((eq n) b1) c0)
% 268.24/268.64 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 268.24/268.64 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 268.24/268.64 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 268.24/268.64 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 275.23/275.66 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 275.23/275.66 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 275.23/275.66 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 275.23/275.66 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 275.23/275.66 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 275.23/275.66 Found (eq_ref0 b1) as proof of (((eq n) b1) c0)
% 275.23/275.66 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 275.23/275.66 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 275.23/275.66 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 275.23/275.66 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 275.23/275.66 Found (eq_ref0 b00) as proof of (((eq n) b00) c0)
% 275.23/275.66 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 275.23/275.66 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 275.23/275.66 Found ((eq_ref n) b00) as proof of (((eq n) b00) c0)
% 275.23/275.66 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 275.23/275.66 Found (eq_ref0 b) as proof of (((eq n) b) b00)
% 275.23/275.66 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 275.23/275.66 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 275.23/275.66 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 275.23/275.66 Found x00:(P1 b0)
% 275.23/275.66 Found (fun (x00:(P1 b0))=> x00) as proof of (P1 b0)
% 275.23/275.66 Found (fun (x00:(P1 b0))=> x00) as proof of (P2 b0)
% 275.23/275.66 Found x:(P c0)
% 275.23/275.66 Instantiate: b1:=c0:n
% 275.23/275.66 Found x as proof of (P0 b1)
% 275.23/275.66 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 275.23/275.66 Found (eq_ref0 b0) as proof of (((eq n) b0) b1)
% 275.23/275.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) b1)
% 275.23/275.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) b1)
% 275.23/275.66 Found ((eq_ref n) b0) as proof of (((eq n) b0) b1)
% 275.23/275.66 Found x:(P b0)
% 275.23/275.66 Instantiate: b1:=b0:n
% 275.23/275.66 Found x as proof of (P0 b1)
% 275.23/275.66 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 275.23/275.66 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 275.23/275.66 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 275.23/275.66 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 275.23/275.66 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 275.23/275.66 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 275.23/275.66 Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 275.23/275.66 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 275.23/275.66 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 275.23/275.66 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 275.23/275.66 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 275.23/275.66 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 275.23/275.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 275.23/275.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 275.23/275.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 275.23/275.66 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 275.23/275.66 Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 275.23/275.66 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 275.23/275.66 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 275.23/275.66 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 275.23/275.66 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 275.23/275.66 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 275.23/275.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 275.23/275.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 275.23/275.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 275.23/275.66 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 275.23/275.66 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 275.23/275.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 275.23/275.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 275.23/275.66 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 275.23/275.66 Found x:(P c0)
% 275.23/275.66 Instantiate: a:=c0:n
% 275.23/275.66 Found x as proof of (P0 a)
% 275.23/275.66 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 275.23/275.66 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 275.23/275.66 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 275.23/275.66 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 275.23/275.66 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 275.23/275.66 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 275.23/275.66 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 275.23/275.66 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 275.23/275.66 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 275.23/275.66 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 275.23/275.66 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 275.23/275.66 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 275.23/275.66 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 275.23/275.66 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 282.57/283.01 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 282.57/283.01 Found x3:(P1 c0)
% 282.57/283.01 Found (fun (x3:(P1 c0))=> x3) as proof of (P1 c0)
% 282.57/283.01 Found (fun (x3:(P1 c0))=> x3) as proof of (P2 c0)
% 282.57/283.01 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 282.57/283.01 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 282.57/283.01 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found x3:(P1 c0)
% 282.57/283.01 Found (fun (x3:(P1 c0))=> x3) as proof of (P1 c0)
% 282.57/283.01 Found (fun (x3:(P1 c0))=> x3) as proof of (P2 c0)
% 282.57/283.01 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 282.57/283.01 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 282.57/283.01 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found x:(P b0)
% 282.57/283.01 Instantiate: b00:=b0:n
% 282.57/283.01 Found x as proof of (P0 b00)
% 282.57/283.01 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 282.57/283.01 Found (eq_ref0 b) as proof of (((eq n) b) b00)
% 282.57/283.01 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 282.57/283.01 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 282.57/283.01 Found ((eq_ref n) b) as proof of (((eq n) b) b00)
% 282.57/283.01 Found x3:(P1 c0)
% 282.57/283.01 Found (fun (x3:(P1 c0))=> x3) as proof of (P1 c0)
% 282.57/283.01 Found (fun (x3:(P1 c0))=> x3) as proof of (P2 c0)
% 282.57/283.01 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 282.57/283.01 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 282.57/283.01 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found x:(P b0)
% 282.57/283.01 Found x as proof of (P0 c0)
% 282.57/283.01 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 282.57/283.01 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 282.57/283.01 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 282.57/283.01 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 282.57/283.01 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 282.57/283.01 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 282.57/283.01 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 282.57/283.01 Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 282.57/283.01 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 282.57/283.01 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 282.57/283.01 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 282.57/283.01 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 282.57/283.01 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 282.57/283.01 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 282.57/283.01 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 282.57/283.01 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 282.57/283.01 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 282.57/283.01 Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 282.57/283.01 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 282.57/283.01 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 282.57/283.01 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 282.57/283.01 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 294.71/295.18 Found (eq_ref0 b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 294.71/295.18 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 294.71/295.18 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 294.71/295.18 Found ((eq_ref n) b0) as proof of (((eq n) b0) ((c_star Xx) c0))
% 294.71/295.18 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 294.71/295.18 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 294.71/295.18 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 294.71/295.18 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 294.71/295.18 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 294.71/295.18 Found x:(P2 c0)
% 294.71/295.18 Found (fun (x:(P2 c0))=> x) as proof of (P2 b)
% 294.71/295.18 Found (fun (P2:(n->Prop)) (x:(P2 c0))=> x) as proof of ((P2 c0)->(P2 b))
% 294.71/295.18 Found (fun (P2:(n->Prop)) (x:(P2 c0))=> x) as proof of (P1 c0)
% 294.71/295.18 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 294.71/295.18 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 294.71/295.18 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 294.71/295.18 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 294.71/295.18 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 294.71/295.18 Found x:(P0 b1)
% 294.71/295.18 Instantiate: b1:=((c_star Xx) c0):n
% 294.71/295.18 Found (fun (x:(P0 b1))=> x) as proof of (P0 b0)
% 294.71/295.18 Found (fun (P0:(n->Prop)) (x:(P0 b1))=> x) as proof of ((P0 b1)->(P0 b0))
% 294.71/295.18 Found (fun (P0:(n->Prop)) (x:(P0 b1))=> x) as proof of (P b1)
% 294.71/295.18 Found x:(P b)
% 294.71/295.18 Instantiate: a:=b:n
% 294.71/295.18 Found x as proof of (P0 a)
% 294.71/295.18 Found x:(P0 ((c_star Xx) b))
% 294.71/295.18 Instantiate: b0:=((c_star Xx) b):n
% 294.71/295.18 Found x as proof of (P1 b0)
% 294.71/295.18 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 294.71/295.18 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 294.71/295.18 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 294.71/295.18 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 294.71/295.18 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 294.71/295.18 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 294.71/295.18 Found (eq_ref0 b0) as proof of (((eq n) b0) c0)
% 294.71/295.18 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 294.71/295.18 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 294.71/295.18 Found ((eq_ref n) b0) as proof of (((eq n) b0) c0)
% 294.71/295.18 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 294.71/295.18 Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 294.71/295.18 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 294.71/295.18 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 294.71/295.18 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 294.71/295.18 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 294.71/295.18 Found (eq_ref0 a) as proof of (((eq n) a) b0)
% 294.71/295.18 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 294.71/295.18 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 294.71/295.18 Found ((eq_ref n) a) as proof of (((eq n) a) b0)
% 294.71/295.18 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 294.71/295.18 Found (eq_ref0 c0) as proof of (((eq n) c0) b)
% 294.71/295.18 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 294.71/295.18 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 294.71/295.18 Found ((eq_ref n) c0) as proof of (((eq n) c0) b)
% 294.71/295.18 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 294.71/295.18 Found (eq_ref0 b) as proof of (((eq n) b) ((c_star Xx) c0))
% 294.71/295.18 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 294.71/295.18 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 294.71/295.18 Found ((eq_ref n) b) as proof of (((eq n) b) ((c_star Xx) c0))
% 294.71/295.18 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 294.71/295.18 Found (eq_ref0 b0) as proof of (((eq n) b0) a)
% 294.71/295.18 Found ((eq_ref n) b0) as proof of (((eq n) b0) a)
% 294.71/295.18 Found ((eq_ref n) b0) as proof of (((eq n) b0) a)
% 294.71/295.18 Found ((eq_ref n) b0) as proof of (((eq n) b0) a)
% 294.71/295.18 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 294.71/295.18 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 294.71/295.18 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 294.71/295.18 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 294.71/295.18 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 294.71/295.18 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 294.71/295.18 Found (eq_ref0 b1) as proof of (((eq n) b1) c0)
% 294.71/295.18 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 294.71/295.18 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 294.71/295.18 Found ((eq_ref n) b1) as proof of (((eq n) b1) c0)
% 294.71/295.18 Found eq_ref00:=(eq_ref0 ((c_star Xx) c0)):(((eq n) ((c_star Xx) c0)) ((c_star Xx) c0))
% 294.71/295.18 Found (eq_ref0 ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 294.71/295.18 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 294.71/295.18 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 294.71/295.18 Found ((eq_ref n) ((c_star Xx) c0)) as proof of (((eq n) ((c_star Xx) c0)) b1)
% 294.71/295.18 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 294.71/295.18 Found (eq_ref0 b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 298.96/299.44 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 298.96/299.44 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 298.96/299.44 Found ((eq_ref n) b1) as proof of (((eq n) b1) ((c_star Xx) c0))
% 298.96/299.44 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 298.96/299.44 Found (eq_ref0 c0) as proof of (((eq n) c0) b1)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b1)
% 298.96/299.44 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 298.96/299.44 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 298.96/299.44 Found x:(P1 ((c_star Xx) b))
% 298.96/299.44 Instantiate: b0:=((c_star Xx) b):n
% 298.96/299.44 Found (fun (x:(P1 ((c_star Xx) b)))=> x) as proof of (P1 b0)
% 298.96/299.44 Found (fun (P1:(n->Prop)) (x:(P1 ((c_star Xx) b)))=> x) as proof of ((P1 ((c_star Xx) b))->(P1 b0))
% 298.96/299.44 Found (fun (P1:(n->Prop)) (x:(P1 ((c_star Xx) b)))=> x) as proof of (P0 b0)
% 298.96/299.44 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 298.96/299.44 Found (eq_ref0 c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 298.96/299.44 Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 298.96/299.44 Found (eq_ref0 c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 298.96/299.44 Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 298.96/299.44 Found (eq_ref0 c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 298.96/299.44 Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 298.96/299.44 Found (eq_ref0 c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 298.96/299.44 Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 298.96/299.44 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 298.96/299.44 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 298.96/299.44 Found (eq_ref0 c0) as proof of (((eq n) c0) b0)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b0)
% 298.96/299.44 Found eq_ref00:=(eq_ref0 c0):(((eq n) c0) c0)
% 298.96/299.44 Found (eq_ref0 c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found ((eq_ref n) c0) as proof of (((eq n) c0) b00)
% 298.96/299.44 Found eq_ref00:=(eq_ref0 b00):(((eq n) b00) b00)
% 298.96/299.44 Found (eq_ref0 b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found ((eq_ref n) b00) as proof of (((eq n) b00) b)
% 298.96/299.44 Found x2:(P1 b)
% 298.96/299.44 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 298.96/299.44 Fo
%------------------------------------------------------------------------------