TSTP Solution File: NUM807^5 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM807^5 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n031.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 290.45s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM807^5 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.23 % Computer : n031.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 14:25:52 CST 2018
% 0.02/0.23 % CPUTime :
% 0.05/0.25 Python 2.7.13
% 7.34/7.55 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 7.34/7.55 FOF formula (<kernel.Constant object at 0x2aba85e120e0>, <kernel.Type object at 0x2aba85e12128>) of role type named n_type
% 7.34/7.55 Using role type
% 7.34/7.55 Declaring n:Type
% 7.34/7.55 FOF formula (<kernel.Constant object at 0x2aba85debf38>, <kernel.DependentProduct object at 0x2aba85e12b48>) of role type named cS
% 7.34/7.55 Using role type
% 7.34/7.55 Declaring cS:(n->n)
% 7.34/7.55 FOF formula (<kernel.Constant object at 0x2aba85e123f8>, <kernel.Constant object at 0x2aba85e12b48>) of role type named c0
% 7.34/7.55 Using role type
% 7.34/7.55 Declaring c0:n
% 7.34/7.55 FOF formula (forall (Xp:(n->n)) (Xq:(n->n)), (((and (((eq n) (Xp c0)) (Xq c0))) (forall (Xx:n), ((((eq n) (Xp Xx)) (Xq Xx))->(((eq n) (Xp (cS Xx))) (Xq (cS Xx))))))->(forall (Xx:n), (((eq n) (Xp Xx)) (Xq Xx))))) of role conjecture named cPA_IND_EQ
% 7.34/7.55 Conjecture to prove = (forall (Xp:(n->n)) (Xq:(n->n)), (((and (((eq n) (Xp c0)) (Xq c0))) (forall (Xx:n), ((((eq n) (Xp Xx)) (Xq Xx))->(((eq n) (Xp (cS Xx))) (Xq (cS Xx))))))->(forall (Xx:n), (((eq n) (Xp Xx)) (Xq Xx))))):Prop
% 7.34/7.55 We need to prove ['(forall (Xp:(n->n)) (Xq:(n->n)), (((and (((eq n) (Xp c0)) (Xq c0))) (forall (Xx:n), ((((eq n) (Xp Xx)) (Xq Xx))->(((eq n) (Xp (cS Xx))) (Xq (cS Xx))))))->(forall (Xx:n), (((eq n) (Xp Xx)) (Xq Xx)))))']
% 7.34/7.55 Parameter n:Type.
% 7.34/7.55 Parameter cS:(n->n).
% 7.34/7.55 Parameter c0:n.
% 7.34/7.55 Trying to prove (forall (Xp:(n->n)) (Xq:(n->n)), (((and (((eq n) (Xp c0)) (Xq c0))) (forall (Xx:n), ((((eq n) (Xp Xx)) (Xq Xx))->(((eq n) (Xp (cS Xx))) (Xq (cS Xx))))))->(forall (Xx:n), (((eq n) (Xp Xx)) (Xq Xx)))))
% 7.34/7.55 Found eq_ref000:=(eq_ref00 P):((P (Xp Xx))->(P (Xp Xx)))
% 7.34/7.55 Found (eq_ref00 P) as proof of (P0 (Xp Xx))
% 7.34/7.55 Found ((eq_ref0 (Xp Xx)) P) as proof of (P0 (Xp Xx))
% 7.34/7.55 Found (((eq_ref n) (Xp Xx)) P) as proof of (P0 (Xp Xx))
% 7.34/7.55 Found (((eq_ref n) (Xp Xx)) P) as proof of (P0 (Xp Xx))
% 7.34/7.55 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 7.34/7.55 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 7.34/7.55 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 7.34/7.55 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 7.34/7.55 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 7.34/7.55 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 7.34/7.55 Found (eq_ref0 b) as proof of (((eq n) b) (Xq Xx))
% 7.34/7.55 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 7.34/7.55 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 7.34/7.55 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 7.34/7.55 Found x00:=(x0 (fun (x2:n)=> (P (Xp Xx)))):((P (Xp Xx))->(P (Xp Xx)))
% 7.34/7.55 Found (x0 (fun (x2:n)=> (P (Xp Xx)))) as proof of (P0 (Xp Xx))
% 7.34/7.55 Found (x0 (fun (x2:n)=> (P (Xp Xx)))) as proof of (P0 (Xp Xx))
% 7.34/7.55 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 7.34/7.55 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 7.34/7.55 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 7.34/7.55 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 7.34/7.55 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 7.34/7.55 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 7.34/7.55 Found (eq_ref0 b) as proof of (((eq n) b) (Xq Xx))
% 7.34/7.55 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 7.34/7.55 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 7.34/7.55 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 7.34/7.55 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 7.34/7.55 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 7.34/7.55 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 7.34/7.55 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 7.34/7.55 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 7.34/7.55 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 7.34/7.55 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 7.34/7.55 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 7.34/7.55 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 7.34/7.55 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 7.34/7.55 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 7.34/7.55 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 7.34/7.55 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 7.34/7.55 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 7.34/7.55 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 7.34/7.55 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 7.34/7.55 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 7.34/7.55 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 15.96/16.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 15.96/16.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 15.96/16.23 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 15.96/16.23 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 15.96/16.23 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 15.96/16.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 15.96/16.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 15.96/16.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 15.96/16.23 Found x0:(P (Xp Xx))
% 15.96/16.23 Instantiate: b:=(Xp Xx):n
% 15.96/16.23 Found x0 as proof of (P0 b)
% 15.96/16.23 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 15.96/16.23 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 15.96/16.23 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 15.96/16.23 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 15.96/16.23 Found (eq_ref0 b) as proof of (((eq n) b) (Xq Xx))
% 15.96/16.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 15.96/16.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 15.96/16.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 15.96/16.23 Found x2:(P (Xp Xx))
% 15.96/16.23 Instantiate: b:=(Xp Xx):n
% 15.96/16.23 Found x2 as proof of (P0 b)
% 15.96/16.23 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 15.96/16.23 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 15.96/16.23 Found (eq_ref0 b) as proof of (P b)
% 15.96/16.23 Found ((eq_ref n) b) as proof of (P b)
% 15.96/16.23 Found ((eq_ref n) b) as proof of (P b)
% 15.96/16.23 Found ((eq_ref n) b) as proof of (P b)
% 15.96/16.23 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 15.96/16.23 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found eq_ref000:=(eq_ref00 P):((P (Xp Xx))->(P (Xp Xx)))
% 15.96/16.23 Found (eq_ref00 P) as proof of (P0 (Xp Xx))
% 15.96/16.23 Found ((eq_ref0 (Xp Xx)) P) as proof of (P0 (Xp Xx))
% 15.96/16.23 Found (((eq_ref n) (Xp Xx)) P) as proof of (P0 (Xp Xx))
% 15.96/16.23 Found (((eq_ref n) (Xp Xx)) P) as proof of (P0 (Xp Xx))
% 15.96/16.23 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 15.96/16.23 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 15.96/16.23 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 15.96/16.23 Found (eq_ref0 b) as proof of (((eq n) b) (Xq Xx))
% 15.96/16.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 15.96/16.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 15.96/16.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 15.96/16.23 Found x0:(P (Xq Xx))
% 15.96/16.23 Instantiate: b:=(Xq Xx):n
% 15.96/16.23 Found x0 as proof of (P0 b)
% 15.96/16.23 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 15.96/16.23 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 15.96/16.23 Found x0:(P (Xp Xx))
% 15.96/16.23 Instantiate: b:=(Xp Xx):n
% 15.96/16.23 Found x0 as proof of (P0 b)
% 15.96/16.23 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 15.96/16.23 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 15.96/16.23 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 20.89/21.10 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 20.89/21.10 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 20.89/21.10 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 20.89/21.10 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 20.89/21.10 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 20.89/21.10 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 20.89/21.10 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 20.89/21.10 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 20.89/21.10 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 20.89/21.10 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 20.89/21.10 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 20.89/21.10 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 20.89/21.10 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 20.89/21.10 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 20.89/21.10 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 20.89/21.10 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 20.89/21.10 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 20.89/21.10 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 20.89/21.10 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 20.89/21.10 Found x00:=(x0 (fun (x2:n)=> (P (Xp Xx)))):((P (Xp Xx))->(P (Xp Xx)))
% 20.89/21.10 Found (x0 (fun (x2:n)=> (P (Xp Xx)))) as proof of (P0 (Xp Xx))
% 20.89/21.10 Found (x0 (fun (x2:n)=> (P (Xp Xx)))) as proof of (P0 (Xp Xx))
% 20.89/21.10 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 20.89/21.10 Found (eq_ref00 P) as proof of (P0 b)
% 20.89/21.10 Found ((eq_ref0 b) P) as proof of (P0 b)
% 20.89/21.10 Found (((eq_ref n) b) P) as proof of (P0 b)
% 20.89/21.10 Found (((eq_ref n) b) P) as proof of (P0 b)
% 20.89/21.10 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 20.89/21.10 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 20.89/21.10 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 20.89/21.10 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 20.89/21.10 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 20.89/21.10 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 20.89/21.10 Found (eq_ref0 b) as proof of (((eq n) b) (Xq Xx))
% 20.89/21.10 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 20.89/21.10 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 20.89/21.10 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 20.89/21.10 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 20.89/21.10 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 20.89/21.10 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 20.89/21.10 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 20.89/21.10 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 20.89/21.10 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 20.89/21.10 Found (eq_ref0 b) as proof of (((eq n) b) (Xq Xx))
% 20.89/21.10 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 20.89/21.10 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 20.89/21.10 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 20.89/21.10 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 20.89/21.10 Found (eq_ref0 b) as proof of (P b)
% 20.89/21.10 Found ((eq_ref n) b) as proof of (P b)
% 20.89/21.10 Found ((eq_ref n) b) as proof of (P b)
% 20.89/21.10 Found ((eq_ref n) b) as proof of (P b)
% 20.89/21.10 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 20.89/21.10 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 20.89/21.10 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 20.89/21.10 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 20.89/21.10 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 20.89/21.10 Found x2:(P (Xq Xx))
% 20.89/21.10 Instantiate: b:=(Xq Xx):n
% 20.89/21.10 Found x2 as proof of (P0 b)
% 20.89/21.10 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 20.89/21.10 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 20.89/21.10 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 20.89/21.10 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 20.89/21.10 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 20.89/21.10 Found eq_ref000:=(eq_ref00 P):((P (Xq Xx))->(P (Xq Xx)))
% 20.89/21.10 Found (eq_ref00 P) as proof of (P0 (Xq Xx))
% 20.89/21.10 Found ((eq_ref0 (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 20.89/21.10 Found (((eq_ref n) (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 20.89/21.10 Found (((eq_ref n) (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 20.89/21.10 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 20.89/21.10 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 20.89/21.10 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 20.89/21.10 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 20.89/21.10 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 20.89/21.10 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 20.89/21.10 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 20.89/21.10 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.83 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.83 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.83 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 28.55/28.83 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.83 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.83 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.83 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.83 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 28.55/28.83 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 28.55/28.83 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 28.55/28.83 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 28.55/28.83 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 28.55/28.83 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 28.55/28.83 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 28.55/28.83 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 28.55/28.83 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 28.55/28.83 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 28.55/28.83 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 28.55/28.83 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.84 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.84 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.84 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.84 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 28.55/28.84 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 28.55/28.84 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 28.55/28.84 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 28.55/28.84 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 28.55/28.84 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 28.55/28.84 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.84 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.84 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.84 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.84 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 28.55/28.84 Found (eq_ref0 b) as proof of (P b)
% 28.55/28.84 Found ((eq_ref n) b) as proof of (P b)
% 28.55/28.84 Found ((eq_ref n) b) as proof of (P b)
% 28.55/28.84 Found ((eq_ref n) b) as proof of (P b)
% 28.55/28.84 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 28.55/28.84 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.84 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.84 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.84 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 28.55/28.84 Found x2:(P (Xq Xx))
% 28.55/28.84 Instantiate: b:=(Xq Xx):n
% 28.55/28.84 Found x2 as proof of (P0 b)
% 28.55/28.84 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 28.55/28.84 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 28.55/28.84 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 28.55/28.84 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 28.55/28.84 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 28.55/28.84 Found x0:(P (Xq Xx))
% 28.55/28.84 Instantiate: b:=(Xq Xx):n
% 28.55/28.84 Found x0 as proof of (P0 b)
% 28.55/28.84 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 28.55/28.84 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 28.55/28.84 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 28.55/28.84 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 28.55/28.84 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 28.55/28.84 Found eq_ref000:=(eq_ref00 P):((P (Xp Xx))->(P (Xp Xx)))
% 28.55/28.84 Found (eq_ref00 P) as proof of (P0 (Xp Xx))
% 28.55/28.84 Found ((eq_ref0 (Xp Xx)) P) as proof of (P0 (Xp Xx))
% 28.55/28.84 Found (((eq_ref n) (Xp Xx)) P) as proof of (P0 (Xp Xx))
% 28.55/28.84 Found (((eq_ref n) (Xp Xx)) P) as proof of (P0 (Xp Xx))
% 28.55/28.84 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 28.55/28.84 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 28.55/28.84 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 28.55/28.84 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 28.55/28.84 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 28.55/28.84 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 28.55/28.84 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 28.55/28.84 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 28.55/28.84 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 28.55/28.84 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 28.55/28.84 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 28.55/28.84 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 28.55/28.84 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 28.55/28.84 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 28.55/28.84 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 28.55/28.84 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 36.75/36.95 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 36.75/36.95 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 36.75/36.95 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 36.75/36.95 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 36.75/36.95 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 36.75/36.95 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 36.75/36.95 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 36.75/36.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 36.75/36.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 36.75/36.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 36.75/36.95 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 36.75/36.95 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 36.75/36.95 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 36.75/36.95 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 36.75/36.95 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 36.75/36.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 36.75/36.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 36.75/36.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 36.75/36.95 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 36.75/36.95 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 36.75/36.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 36.75/36.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 36.75/36.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 36.75/36.95 Found x00:=(x0 (fun (x2:n)=> (P b))):((P b)->(P b))
% 36.75/36.95 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 36.75/36.95 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 36.75/36.95 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 36.75/36.95 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 36.75/36.95 Found eq_ref000:=(eq_ref00 P):((P (Xq Xx))->(P (Xq Xx)))
% 36.75/36.95 Found (eq_ref00 P) as proof of (P0 (Xq Xx))
% 36.75/36.95 Found ((eq_ref0 (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 36.75/36.95 Found (((eq_ref n) (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 36.75/36.95 Found (((eq_ref n) (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 36.75/36.95 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 36.75/36.95 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 36.75/36.95 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 36.75/36.95 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 36.75/36.95 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 36.75/36.95 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 36.75/36.95 Found (eq_ref0 b) as proof of (((eq n) b) (Xq Xx))
% 36.75/36.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 36.75/36.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 36.75/36.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 36.75/36.95 Found x00:=(x0 (fun (x2:n)=> (P (Xq Xx)))):((P (Xq Xx))->(P (Xq Xx)))
% 36.75/36.95 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 36.75/36.95 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 36.75/36.95 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 36.75/36.95 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 36.75/36.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 36.75/36.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 36.75/36.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 36.75/36.95 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 36.75/36.95 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 36.75/36.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 36.75/36.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 36.75/36.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 36.75/36.95 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 36.75/36.95 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 46.75/46.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.75/46.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.75/46.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.75/46.95 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 46.75/46.95 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.75/46.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.75/46.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.75/46.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.75/46.95 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 46.75/46.95 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 46.75/46.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.75/46.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.75/46.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.75/46.95 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 46.75/46.95 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.75/46.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.75/46.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.75/46.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.77/46.96 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 46.77/46.96 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 46.77/46.96 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.77/46.96 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.77/46.96 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.77/46.96 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.77/46.96 Found x00:=(x0 (fun (x2:n)=> (P b))):((P b)->(P b))
% 46.77/46.96 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 46.77/46.96 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 46.77/46.96 Found x00:=(x0 (fun (x2:n)=> (P (Xp Xx)))):((P (Xp Xx))->(P (Xp Xx)))
% 46.77/46.96 Found (x0 (fun (x2:n)=> (P (Xp Xx)))) as proof of (P0 (Xp Xx))
% 46.77/46.96 Found (x0 (fun (x2:n)=> (P (Xp Xx)))) as proof of (P0 (Xp Xx))
% 46.77/46.96 Found x00:=(x0 (fun (x2:n)=> (P (Xq Xx)))):((P (Xq Xx))->(P (Xq Xx)))
% 46.77/46.96 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 46.77/46.96 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 46.77/46.96 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 46.77/46.96 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 46.77/46.96 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 46.77/46.96 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 46.77/46.96 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 46.77/46.96 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 46.77/46.96 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 46.77/46.96 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 46.77/46.96 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 46.77/46.96 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 46.77/46.96 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 46.77/46.96 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 46.77/46.96 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.77/46.96 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.77/46.96 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.77/46.96 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.77/46.96 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 46.77/46.96 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 46.77/46.96 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.77/46.96 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.77/46.96 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.77/46.96 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 46.77/46.96 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 46.77/46.96 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 46.77/46.96 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 58.70/58.90 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 58.70/58.90 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 58.70/58.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 58.70/58.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 58.70/58.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 58.70/58.90 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 58.70/58.90 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 58.70/58.90 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 58.70/58.90 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 58.70/58.90 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 58.70/58.90 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 58.70/58.90 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 58.70/58.90 Found (eq_ref0 b) as proof of (((eq n) b) (Xq Xx))
% 58.70/58.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 58.70/58.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 58.70/58.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 58.70/58.90 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 58.70/58.90 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 58.70/58.90 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 58.70/58.90 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 58.70/58.90 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 58.70/58.90 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 58.70/58.90 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 58.70/58.90 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 58.70/58.90 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 58.70/58.90 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 58.70/58.90 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 58.70/58.90 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 58.70/58.90 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 58.70/58.90 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 58.70/58.90 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 58.70/58.90 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 58.70/58.90 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 58.70/58.90 Found x00:=(x0 (fun (x2:n)=> (P b))):((P b)->(P b))
% 58.70/58.90 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 58.70/58.90 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 58.70/58.90 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 58.70/58.90 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 58.70/58.90 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 58.70/58.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 58.70/58.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 58.70/58.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 58.70/58.90 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 58.70/58.90 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 58.70/58.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 58.70/58.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 58.70/58.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 58.70/58.90 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 58.70/58.90 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 58.70/58.90 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 58.70/58.90 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 58.70/58.90 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 58.70/58.90 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 58.70/58.90 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 58.70/58.90 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 58.70/58.90 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 58.70/58.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 74.75/75.01 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 74.75/75.01 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 74.75/75.01 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 74.75/75.01 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 74.75/75.01 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 74.75/75.01 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 74.75/75.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 74.75/75.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 74.75/75.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 74.75/75.01 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 74.75/75.01 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 74.75/75.01 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 74.75/75.01 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 74.75/75.01 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 74.75/75.01 Found x00:=(x0 (fun (x2:n)=> (P b))):((P b)->(P b))
% 74.75/75.01 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 74.75/75.01 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 74.75/75.01 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 74.75/75.01 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 74.75/75.01 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 74.75/75.01 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 74.75/75.01 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 74.75/75.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 74.75/75.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 74.75/75.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 74.75/75.01 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 74.75/75.01 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 74.75/75.01 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 74.75/75.01 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 74.75/75.01 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 74.75/75.01 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 74.75/75.01 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 74.75/75.01 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 74.75/75.01 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 74.75/75.01 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 74.75/75.01 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 74.75/75.01 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 74.75/75.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 74.75/75.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 74.75/75.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 74.75/75.01 Found x00:=(x0 (fun (x2:n)=> (P (Xq Xx)))):((P (Xq Xx))->(P (Xq Xx)))
% 74.75/75.01 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 74.75/75.01 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 74.75/75.01 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 74.75/75.01 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 74.75/75.01 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 74.75/75.01 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 74.75/75.01 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 74.75/75.01 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 74.75/75.01 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 74.75/75.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 74.75/75.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 74.75/75.01 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 74.75/75.01 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 74.75/75.01 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 74.75/75.01 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 74.75/75.01 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 74.75/75.01 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 74.75/75.01 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 74.75/75.01 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 74.75/75.01 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 74.75/75.01 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 89.73/89.95 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 89.73/89.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 89.73/89.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 89.73/89.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 89.73/89.95 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 89.73/89.95 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 89.73/89.95 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 89.73/89.95 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 89.73/89.95 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 89.73/89.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 89.73/89.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 89.73/89.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 89.73/89.95 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 89.73/89.95 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 89.73/89.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 89.73/89.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 89.73/89.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 89.73/89.95 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 89.73/89.95 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 89.73/89.95 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 89.73/89.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 89.73/89.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 89.73/89.95 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 89.73/89.95 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 89.73/89.95 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 89.73/89.95 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 89.73/89.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 89.73/89.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 89.73/89.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 89.73/89.95 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 89.73/89.95 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 89.73/89.95 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 89.73/89.95 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 89.73/89.95 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 89.73/89.95 Found x0:(P (Xp Xx))
% 89.73/89.95 Instantiate: b:=(Xp Xx):n
% 89.73/89.95 Found x0 as proof of (P0 b)
% 89.73/89.95 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 89.73/89.95 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 89.73/89.95 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 89.73/89.95 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 89.73/89.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 89.73/89.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 89.73/89.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 89.73/89.95 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 89.73/89.95 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 89.73/89.95 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 89.73/89.95 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 89.73/89.95 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 89.73/89.95 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 89.73/89.95 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 89.73/89.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 89.73/89.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 89.73/89.95 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 89.73/89.95 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 89.73/89.95 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 89.73/89.95 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 99.12/99.37 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 99.12/99.37 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 99.12/99.37 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 99.12/99.37 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 99.12/99.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 99.12/99.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 99.12/99.37 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 99.12/99.37 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 99.12/99.37 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 99.12/99.37 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 99.12/99.37 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 99.12/99.37 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 99.12/99.37 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 99.12/99.37 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 99.12/99.37 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 99.12/99.37 Found (eq_ref0 b) as proof of (((eq n) b) (Xq Xx))
% 99.12/99.37 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 99.12/99.37 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 99.12/99.37 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 99.12/99.37 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 99.12/99.37 Found (eq_ref0 b) as proof of (P b)
% 99.12/99.37 Found ((eq_ref n) b) as proof of (P b)
% 99.12/99.37 Found ((eq_ref n) b) as proof of (P b)
% 99.12/99.37 Found ((eq_ref n) b) as proof of (P b)
% 99.12/99.37 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 99.12/99.37 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 99.12/99.37 Found eq_ref000:=(eq_ref00 P):((P (Xp Xx))->(P (Xp Xx)))
% 99.12/99.37 Found (eq_ref00 P) as proof of (P0 (Xp Xx))
% 99.12/99.37 Found ((eq_ref0 (Xp Xx)) P) as proof of (P0 (Xp Xx))
% 99.12/99.37 Found (((eq_ref n) (Xp Xx)) P) as proof of (P0 (Xp Xx))
% 99.12/99.37 Found (((eq_ref n) (Xp Xx)) P) as proof of (P0 (Xp Xx))
% 99.12/99.37 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 99.12/99.37 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 99.12/99.37 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 99.12/99.37 Found (eq_ref0 b) as proof of (((eq n) b) (Xq Xx))
% 99.12/99.37 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 99.12/99.37 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 99.12/99.37 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 99.12/99.37 Found x2:(P (Xp Xx))
% 99.12/99.37 Instantiate: b:=(Xp Xx):n
% 99.12/99.37 Found x2 as proof of (P0 b)
% 99.12/99.37 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 99.12/99.37 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 99.12/99.37 Found x0:(P (Xq Xx))
% 99.12/99.37 Instantiate: b:=(Xq Xx):n
% 99.12/99.37 Found x0 as proof of (P0 b)
% 99.12/99.37 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 99.12/99.37 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 99.12/99.37 Found x0:(P (Xp Xx))
% 99.12/99.37 Instantiate: b:=(Xp Xx):n
% 99.12/99.37 Found x0 as proof of (P0 b)
% 99.12/99.37 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 99.12/99.37 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 99.12/99.37 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 99.12/99.37 Found x0:(P (Xp Xx))
% 99.12/99.37 Instantiate: a:=(Xp Xx):n
% 99.12/99.37 Found x0 as proof of (P0 a)
% 99.12/99.37 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 99.12/99.37 Found (eq_ref0 b) as proof of (((eq n) b) (Xq Xx))
% 99.12/99.37 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 99.12/99.37 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 99.12/99.37 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 99.12/99.37 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 99.12/99.37 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 99.12/99.37 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 99.12/99.37 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 108.03/108.30 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 108.03/108.30 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 108.03/108.30 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 108.03/108.30 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 108.03/108.30 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 108.03/108.30 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 108.03/108.30 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 108.03/108.30 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 108.03/108.30 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 108.03/108.30 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 108.03/108.30 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 108.03/108.30 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 108.03/108.30 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 108.03/108.30 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 108.03/108.30 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 108.03/108.30 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 108.03/108.30 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 108.03/108.30 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 108.03/108.30 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 108.03/108.30 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 108.03/108.30 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 108.03/108.30 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 108.03/108.30 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 108.03/108.30 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 108.03/108.30 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 108.03/108.30 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 108.03/108.30 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 108.03/108.30 Found (eq_ref0 b) as proof of (P1 b)
% 108.03/108.30 Found ((eq_ref n) b) as proof of (P1 b)
% 108.03/108.30 Found ((eq_ref n) b) as proof of (P1 b)
% 108.03/108.30 Found ((eq_ref n) b) as proof of (P1 b)
% 108.03/108.30 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 108.03/108.30 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 108.03/108.30 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 108.03/108.30 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 108.03/108.30 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 108.03/108.30 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 108.03/108.30 Found (eq_ref0 b) as proof of (P1 b)
% 108.03/108.30 Found ((eq_ref n) b) as proof of (P1 b)
% 108.03/108.30 Found ((eq_ref n) b) as proof of (P1 b)
% 108.03/108.30 Found ((eq_ref n) b) as proof of (P1 b)
% 108.03/108.30 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 108.03/108.30 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 108.03/108.30 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 108.03/108.30 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 108.03/108.30 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 108.03/108.30 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 108.03/108.30 Found (eq_ref00 P) as proof of (P0 b)
% 108.03/108.30 Found ((eq_ref0 b) P) as proof of (P0 b)
% 108.03/108.30 Found (((eq_ref n) b) P) as proof of (P0 b)
% 108.03/108.30 Found (((eq_ref n) b) P) as proof of (P0 b)
% 108.03/108.30 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 108.03/108.30 Found (eq_ref00 P) as proof of (P0 b)
% 108.03/108.30 Found ((eq_ref0 b) P) as proof of (P0 b)
% 108.03/108.30 Found (((eq_ref n) b) P) as proof of (P0 b)
% 108.03/108.30 Found (((eq_ref n) b) P) as proof of (P0 b)
% 108.03/108.30 Found x00:=(x0 (fun (x2:n)=> (P (Xp Xx)))):((P (Xp Xx))->(P (Xp Xx)))
% 108.03/108.30 Found (x0 (fun (x2:n)=> (P (Xp Xx)))) as proof of (P0 (Xp Xx))
% 108.03/108.30 Found (x0 (fun (x2:n)=> (P (Xp Xx)))) as proof of (P0 (Xp Xx))
% 108.03/108.30 Found x0:(P1 (Xq Xx))
% 108.03/108.30 Instantiate: b:=(Xq Xx):n
% 108.03/108.30 Found x0 as proof of (P2 b)
% 108.03/108.30 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 108.03/108.30 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 108.03/108.30 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 108.03/108.30 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 108.03/108.30 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 108.03/108.30 Found x0:(P1 (Xq Xx))
% 108.03/108.30 Instantiate: b:=(Xq Xx):n
% 108.03/108.30 Found x0 as proof of (P2 b)
% 108.03/108.30 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 108.03/108.30 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 108.03/108.30 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 108.03/108.30 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 108.03/108.30 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 108.03/108.30 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 108.03/108.30 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 108.03/108.30 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 108.03/108.30 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 108.03/108.30 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 108.03/108.30 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 108.03/108.30 Found (eq_ref0 b) as proof of (((eq n) b) (Xq Xx))
% 113.72/114.00 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 113.72/114.00 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 113.72/114.00 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 113.72/114.00 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 113.72/114.00 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 113.72/114.00 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 113.72/114.00 Found (eq_ref0 b) as proof of (((eq n) b) (Xq Xx))
% 113.72/114.00 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 113.72/114.00 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 113.72/114.00 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 113.72/114.00 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 113.72/114.00 Found (eq_ref0 b) as proof of (P b)
% 113.72/114.00 Found ((eq_ref n) b) as proof of (P b)
% 113.72/114.00 Found ((eq_ref n) b) as proof of (P b)
% 113.72/114.00 Found ((eq_ref n) b) as proof of (P b)
% 113.72/114.00 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 113.72/114.00 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found eq_ref000:=(eq_ref00 P1):((P1 (Xq Xx))->(P1 (Xq Xx)))
% 113.72/114.00 Found (eq_ref00 P1) as proof of (P2 (Xq Xx))
% 113.72/114.00 Found ((eq_ref0 (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 113.72/114.00 Found (((eq_ref n) (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 113.72/114.00 Found (((eq_ref n) (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 113.72/114.00 Found x2:(P (Xq Xx))
% 113.72/114.00 Instantiate: b:=(Xq Xx):n
% 113.72/114.00 Found x2 as proof of (P0 b)
% 113.72/114.00 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 113.72/114.00 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 113.72/114.00 Found eq_ref000:=(eq_ref00 P):((P (Xq Xx))->(P (Xq Xx)))
% 113.72/114.00 Found (eq_ref00 P) as proof of (P0 (Xq Xx))
% 113.72/114.00 Found ((eq_ref0 (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 113.72/114.00 Found (((eq_ref n) (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 113.72/114.00 Found (((eq_ref n) (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 113.72/114.00 Found eq_ref000:=(eq_ref00 P):((P (Xq Xx))->(P (Xq Xx)))
% 113.72/114.00 Found (eq_ref00 P) as proof of (P0 (Xq Xx))
% 113.72/114.00 Found ((eq_ref0 (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 113.72/114.00 Found (((eq_ref n) (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 113.72/114.00 Found (((eq_ref n) (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 113.72/114.00 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 113.72/114.00 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 113.72/114.00 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 113.72/114.00 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 113.72/114.00 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 113.72/114.00 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 113.72/114.00 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 113.72/114.00 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 113.72/114.00 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 113.72/114.00 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 113.72/114.00 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 113.72/114.00 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 113.72/114.00 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 113.72/114.00 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 113.72/114.00 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 113.72/114.00 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 113.72/114.00 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 113.72/114.00 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 113.72/114.00 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 113.72/114.00 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 122.63/122.90 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 122.63/122.90 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 122.63/122.90 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 122.63/122.90 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 122.63/122.90 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 122.63/122.90 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 122.63/122.90 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 122.63/122.90 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 122.63/122.90 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 122.63/122.90 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 122.63/122.90 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 122.63/122.90 Found (eq_ref0 b) as proof of (P b)
% 122.63/122.90 Found ((eq_ref n) b) as proof of (P b)
% 122.63/122.90 Found ((eq_ref n) b) as proof of (P b)
% 122.63/122.90 Found ((eq_ref n) b) as proof of (P b)
% 122.63/122.90 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 122.63/122.90 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 122.63/122.90 Found x0:(((eq n) (Xp c0)) (Xq c0))
% 122.63/122.90 Instantiate: a:=(Xp c0):n;b:=(Xq c0):n
% 122.63/122.90 Found x0 as proof of (((eq n) a) b)
% 122.63/122.90 Found x2:(P (Xp Xx))
% 122.63/122.90 Instantiate: a:=(Xp Xx):n
% 122.63/122.90 Found x2 as proof of (P0 a)
% 122.63/122.90 Found x0:(P b)
% 122.63/122.90 Instantiate: b0:=b:n
% 122.63/122.90 Found x0 as proof of (P0 b0)
% 122.63/122.90 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 122.63/122.90 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 122.63/122.90 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 122.63/122.90 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 122.63/122.90 Found (eq_ref0 b) as proof of (((eq n) b) (Xq Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 122.63/122.90 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 122.63/122.90 Found x2:(P (Xq Xx))
% 122.63/122.90 Instantiate: b:=(Xq Xx):n
% 132.52/132.82 Found x2 as proof of (P0 b)
% 132.52/132.82 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 132.52/132.82 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found x0:(P (Xq Xx))
% 132.52/132.82 Instantiate: b:=(Xq Xx):n
% 132.52/132.82 Found x0 as proof of (P0 b)
% 132.52/132.82 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 132.52/132.82 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found x1:(((eq n) (Xp c0)) (Xq c0))
% 132.52/132.82 Instantiate: a:=(Xp c0):n;b:=(Xq c0):n
% 132.52/132.82 Found x1 as proof of (((eq n) a) b)
% 132.52/132.82 Found x0:(P (Xp Xx))
% 132.52/132.82 Instantiate: a:=(Xp Xx):n
% 132.52/132.82 Found x0 as proof of (P0 a)
% 132.52/132.82 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 132.52/132.82 Found (eq_ref0 b) as proof of (((eq n) b) (Xq Xx))
% 132.52/132.82 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 132.52/132.82 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 132.52/132.82 Found ((eq_ref n) b) as proof of (((eq n) b) (Xq Xx))
% 132.52/132.82 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 132.52/132.82 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 132.52/132.82 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 132.52/132.82 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 132.52/132.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 132.52/132.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 132.52/132.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 132.52/132.82 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 132.52/132.82 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 132.52/132.82 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 132.52/132.82 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 132.52/132.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 132.52/132.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 132.52/132.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 132.52/132.82 Found x0:(P (Xq Xx))
% 132.52/132.82 Instantiate: b:=(Xq Xx):n
% 132.52/132.82 Found x0 as proof of (P0 b)
% 132.52/132.82 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 132.52/132.82 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found x0:(P (Xq Xx))
% 132.52/132.82 Instantiate: b:=(Xq Xx):n
% 132.52/132.82 Found x0 as proof of (P0 b)
% 132.52/132.82 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 132.52/132.82 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 132.52/132.82 Found eq_ref000:=(eq_ref00 P0):((P0 (Xq Xx))->(P0 (Xq Xx)))
% 132.52/132.82 Found (eq_ref00 P0) as proof of (P1 (Xq Xx))
% 132.52/132.82 Found ((eq_ref0 (Xq Xx)) P0) as proof of (P1 (Xq Xx))
% 132.52/132.82 Found (((eq_ref n) (Xq Xx)) P0) as proof of (P1 (Xq Xx))
% 132.52/132.82 Found (((eq_ref n) (Xq Xx)) P0) as proof of (P1 (Xq Xx))
% 132.52/132.82 Found x0:(P (Xq Xx))
% 132.52/132.82 Instantiate: a:=(Xq Xx):n
% 132.52/132.82 Found x0 as proof of (P0 a)
% 132.52/132.82 Found x0:(P b)
% 132.52/132.82 Found x0 as proof of (P0 (Xp Xx))
% 132.52/132.82 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 132.52/132.82 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 132.52/132.82 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 132.52/132.82 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 132.52/132.82 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 132.52/132.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 132.52/132.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 132.52/132.82 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 132.52/132.82 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 132.52/132.82 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 132.52/132.82 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 141.22/141.50 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 141.22/141.50 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 141.22/141.50 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 141.22/141.50 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 141.22/141.50 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 141.22/141.50 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 141.22/141.50 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 141.22/141.50 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 141.22/141.50 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 141.22/141.50 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 141.22/141.50 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 141.22/141.50 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 141.22/141.50 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 141.22/141.50 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 141.22/141.50 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 141.22/141.50 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 141.22/141.50 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 141.22/141.50 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 141.22/141.50 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 141.22/141.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 141.22/141.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 141.22/141.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 141.22/141.50 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 141.22/141.50 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 141.22/141.50 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 141.22/141.50 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 141.22/141.50 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 141.22/141.50 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 141.22/141.50 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 141.22/141.50 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 141.22/141.50 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 141.22/141.50 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 141.22/141.50 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 141.22/141.50 Found (eq_ref00 P1) as proof of (P2 b)
% 141.22/141.50 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 141.22/141.50 Found (((eq_ref n) b) P1) as proof of (P2 b)
% 141.22/141.50 Found (((eq_ref n) b) P1) as proof of (P2 b)
% 141.22/141.50 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 141.22/141.50 Found (eq_ref00 P1) as proof of (P2 b)
% 141.22/141.50 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 141.22/141.50 Found (((eq_ref n) b) P1) as proof of (P2 b)
% 141.22/141.50 Found (((eq_ref n) b) P1) as proof of (P2 b)
% 141.22/141.50 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 141.22/141.50 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 141.22/141.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 141.22/141.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 141.22/141.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 141.22/141.50 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 141.22/141.50 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 141.22/141.50 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 141.22/141.50 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 141.22/141.50 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 141.22/141.50 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 141.22/141.50 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 141.22/141.50 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 141.22/141.50 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 141.22/141.50 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 141.22/141.50 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 141.22/141.50 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 141.22/141.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 141.22/141.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 141.22/141.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 141.22/141.50 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 141.22/141.50 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 141.22/141.50 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 141.22/141.50 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 141.22/141.50 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 141.22/141.50 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 141.22/141.50 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 141.22/141.50 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 141.22/141.50 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 141.22/141.50 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 141.22/141.50 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 141.22/141.50 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 141.22/141.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 141.22/141.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 141.22/141.50 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 141.22/141.50 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 141.22/141.50 Found (eq_ref0 b) as proof of (P1 b)
% 147.90/148.17 Found ((eq_ref n) b) as proof of (P1 b)
% 147.90/148.17 Found ((eq_ref n) b) as proof of (P1 b)
% 147.90/148.17 Found ((eq_ref n) b) as proof of (P1 b)
% 147.90/148.17 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 147.90/148.17 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 147.90/148.17 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 147.90/148.17 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 147.90/148.17 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 147.90/148.17 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 147.90/148.17 Found (eq_ref0 b) as proof of (P1 b)
% 147.90/148.17 Found ((eq_ref n) b) as proof of (P1 b)
% 147.90/148.17 Found ((eq_ref n) b) as proof of (P1 b)
% 147.90/148.17 Found ((eq_ref n) b) as proof of (P1 b)
% 147.90/148.17 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 147.90/148.17 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 147.90/148.17 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 147.90/148.17 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 147.90/148.17 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 147.90/148.17 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 147.90/148.17 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 147.90/148.17 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 147.90/148.17 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 147.90/148.17 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 147.90/148.17 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 147.90/148.17 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 147.90/148.17 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 147.90/148.17 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 147.90/148.17 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 147.90/148.17 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 147.90/148.17 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 147.90/148.17 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 147.90/148.17 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 147.90/148.17 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 147.90/148.17 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 147.90/148.17 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 147.90/148.17 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 147.90/148.17 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 147.90/148.17 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 147.90/148.17 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 147.90/148.17 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 147.90/148.17 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 147.90/148.17 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 147.90/148.17 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 147.90/148.17 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 147.90/148.17 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 147.90/148.17 Found (eq_ref00 P) as proof of (P0 b)
% 147.90/148.17 Found ((eq_ref0 b) P) as proof of (P0 b)
% 147.90/148.17 Found (((eq_ref n) b) P) as proof of (P0 b)
% 147.90/148.17 Found (((eq_ref n) b) P) as proof of (P0 b)
% 147.90/148.17 Found eq_ref000:=(eq_ref00 P):((P (Xq Xx))->(P (Xq Xx)))
% 147.90/148.17 Found (eq_ref00 P) as proof of (P0 (Xq Xx))
% 147.90/148.17 Found ((eq_ref0 (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 147.90/148.17 Found (((eq_ref n) (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 147.90/148.17 Found (((eq_ref n) (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 147.90/148.17 Found x00:=(x0 (fun (x2:n)=> (P b))):((P b)->(P b))
% 147.90/148.17 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 147.90/148.17 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 147.90/148.17 Found x00:=(x0 (fun (x2:n)=> (P b))):((P b)->(P b))
% 147.90/148.17 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 147.90/148.17 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 147.90/148.17 Found eq_ref000:=(eq_ref00 P1):((P1 (Xq Xx))->(P1 (Xq Xx)))
% 147.90/148.17 Found (eq_ref00 P1) as proof of (P2 (Xq Xx))
% 160.45/160.72 Found ((eq_ref0 (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 160.45/160.72 Found (((eq_ref n) (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 160.45/160.72 Found (((eq_ref n) (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 160.45/160.72 Found eq_ref000:=(eq_ref00 P1):((P1 (Xq Xx))->(P1 (Xq Xx)))
% 160.45/160.72 Found (eq_ref00 P1) as proof of (P2 (Xq Xx))
% 160.45/160.72 Found ((eq_ref0 (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 160.45/160.72 Found (((eq_ref n) (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 160.45/160.72 Found (((eq_ref n) (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 160.45/160.72 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 160.45/160.72 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 160.45/160.72 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 160.45/160.72 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 160.45/160.72 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 160.45/160.72 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 160.45/160.72 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 160.45/160.72 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 160.45/160.72 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 160.45/160.72 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 160.45/160.72 Found x2:(P1 (Xq Xx))
% 160.45/160.72 Instantiate: b:=(Xq Xx):n
% 160.45/160.72 Found x2 as proof of (P2 b)
% 160.45/160.72 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 160.45/160.72 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 160.45/160.72 Found x2:(P1 (Xq Xx))
% 160.45/160.72 Instantiate: b:=(Xq Xx):n
% 160.45/160.72 Found x2 as proof of (P2 b)
% 160.45/160.72 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 160.45/160.72 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 160.45/160.72 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 160.45/160.72 Found x00:=(x0 (fun (x3:n)=> (P1 (Xq Xx)))):((P1 (Xq Xx))->(P1 (Xq Xx)))
% 160.45/160.72 Found (x0 (fun (x3:n)=> (P1 (Xq Xx)))) as proof of (P2 (Xq Xx))
% 160.45/160.72 Found (x0 (fun (x3:n)=> (P1 (Xq Xx)))) as proof of (P2 (Xq Xx))
% 160.45/160.72 Found x00:=(x0 (fun (x2:n)=> (P (Xq Xx)))):((P (Xq Xx))->(P (Xq Xx)))
% 160.45/160.72 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 160.45/160.72 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 160.45/160.72 Found x00:=(x0 (fun (x2:n)=> (P (Xq Xx)))):((P (Xq Xx))->(P (Xq Xx)))
% 160.45/160.72 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 160.45/160.72 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 160.45/160.72 Found x10:=(x1 (fun (x3:n)=> (P1 (Xq Xx)))):((P1 (Xq Xx))->(P1 (Xq Xx)))
% 163.99/164.26 Found (x1 (fun (x3:n)=> (P1 (Xq Xx)))) as proof of (P2 (Xq Xx))
% 163.99/164.26 Found (x1 (fun (x3:n)=> (P1 (Xq Xx)))) as proof of (P2 (Xq Xx))
% 163.99/164.26 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.99/164.26 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 163.99/164.26 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 163.99/164.26 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.99/164.26 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.99/164.26 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 163.99/164.26 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.99/164.26 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 163.99/164.26 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.99/164.26 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 163.99/164.26 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 163.99/164.26 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.99/164.26 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 163.99/164.26 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 163.99/164.26 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.99/164.26 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 163.99/164.26 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 163.99/164.26 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 175.91/176.22 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 175.91/176.22 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 175.91/176.22 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 175.91/176.22 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 175.91/176.22 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 175.91/176.22 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 175.91/176.22 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 175.91/176.22 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 175.91/176.22 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 175.91/176.22 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 175.91/176.22 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 175.91/176.22 Found (eq_ref0 b1) as proof of (((eq n) b1) (Xq Xx))
% 175.91/176.22 Found ((eq_ref n) b1) as proof of (((eq n) b1) (Xq Xx))
% 175.91/176.22 Found ((eq_ref n) b1) as proof of (((eq n) b1) (Xq Xx))
% 175.91/176.22 Found ((eq_ref n) b1) as proof of (((eq n) b1) (Xq Xx))
% 175.91/176.22 Found x00:=(x0 (fun (x2:n)=> (P b))):((P b)->(P b))
% 175.91/176.22 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 175.91/176.22 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 175.91/176.22 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 175.91/176.22 Found (eq_ref0 b) as proof of (P1 b)
% 175.91/176.22 Found ((eq_ref n) b) as proof of (P1 b)
% 175.91/176.22 Found ((eq_ref n) b) as proof of (P1 b)
% 175.91/176.22 Found ((eq_ref n) b) as proof of (P1 b)
% 175.91/176.22 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 175.91/176.22 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 175.91/176.22 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 175.91/176.22 Found (eq_ref0 b) as proof of (P1 b)
% 175.91/176.22 Found ((eq_ref n) b) as proof of (P1 b)
% 175.91/176.22 Found ((eq_ref n) b) as proof of (P1 b)
% 175.91/176.22 Found ((eq_ref n) b) as proof of (P1 b)
% 175.91/176.22 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 175.91/176.22 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 175.91/176.22 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 175.91/176.22 Found (eq_ref0 b0) as proof of (P b0)
% 175.91/176.22 Found ((eq_ref n) b0) as proof of (P b0)
% 175.91/176.22 Found ((eq_ref n) b0) as proof of (P b0)
% 175.91/176.22 Found ((eq_ref n) b0) as proof of (P b0)
% 175.91/176.22 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 175.91/176.22 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 175.91/176.22 Found x00:=(x0 (fun (x2:n)=> (P b))):((P b)->(P b))
% 175.91/176.22 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 175.91/176.22 Found (x0 (fun (x2:n)=> (P b))) as proof of (P0 b)
% 175.91/176.22 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 175.91/176.22 Found (eq_ref0 b0) as proof of (P b0)
% 175.91/176.22 Found ((eq_ref n) b0) as proof of (P b0)
% 175.91/176.22 Found ((eq_ref n) b0) as proof of (P b0)
% 175.91/176.22 Found ((eq_ref n) b0) as proof of (P b0)
% 175.91/176.22 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 175.91/176.22 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 175.91/176.22 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 175.91/176.22 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 175.91/176.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 175.91/176.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 175.91/176.22 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 175.91/176.22 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 175.91/176.22 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 175.91/176.22 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 175.91/176.22 Found x2:(P1 (Xq Xx))
% 175.91/176.22 Instantiate: b:=(Xq Xx):n
% 175.91/176.22 Found x2 as proof of (P2 b)
% 175.91/176.22 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 175.91/176.22 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 183.96/184.24 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 183.96/184.24 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 183.96/184.24 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 183.96/184.24 Found x2:(P1 (Xq Xx))
% 183.96/184.24 Instantiate: b:=(Xq Xx):n
% 183.96/184.24 Found x2 as proof of (P2 b)
% 183.96/184.24 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 183.96/184.24 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 183.96/184.24 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 183.96/184.24 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 183.96/184.24 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 183.96/184.24 Found x2:(P b)
% 183.96/184.24 Instantiate: b0:=b:n
% 183.96/184.24 Found x2 as proof of (P0 b0)
% 183.96/184.24 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 183.96/184.24 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 183.96/184.24 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 183.96/184.24 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 183.96/184.24 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 183.96/184.24 Found x0:(P (Xq Xx))
% 183.96/184.24 Instantiate: b0:=(Xq Xx):n
% 183.96/184.24 Found x0 as proof of (P0 b0)
% 183.96/184.24 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 183.96/184.24 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 183.96/184.24 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 183.96/184.24 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 183.96/184.24 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 183.96/184.24 Found x0:(P (Xq Xx))
% 183.96/184.24 Instantiate: b0:=(Xq Xx):n
% 183.96/184.24 Found x0 as proof of (P0 b0)
% 183.96/184.24 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 183.96/184.24 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 183.96/184.24 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 183.96/184.24 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 183.96/184.24 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 183.96/184.24 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 183.96/184.24 Found (eq_ref00 P) as proof of (P0 b0)
% 183.96/184.24 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 183.96/184.24 Found (((eq_ref n) b0) P) as proof of (P0 b0)
% 183.96/184.24 Found (((eq_ref n) b0) P) as proof of (P0 b0)
% 183.96/184.24 Found x00:=(x0 (fun (x2:n)=> (P (Xq Xx)))):((P (Xq Xx))->(P (Xq Xx)))
% 183.96/184.24 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 183.96/184.24 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 183.96/184.24 Found x2:(P (Xq Xx))
% 183.96/184.24 Instantiate: b:=(Xq Xx):n
% 183.96/184.24 Found x2 as proof of (P0 b)
% 183.96/184.24 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 183.96/184.24 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 183.96/184.24 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 183.96/184.24 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 183.96/184.24 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 183.96/184.24 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 183.96/184.24 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 183.96/184.24 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 183.96/184.24 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 183.96/184.24 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 183.96/184.24 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 183.96/184.24 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 183.96/184.24 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 183.96/184.24 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 183.96/184.24 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 183.96/184.24 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 183.96/184.24 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 183.96/184.24 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 183.96/184.24 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 183.96/184.24 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 183.96/184.24 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 183.96/184.24 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 183.96/184.24 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 183.96/184.24 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 183.96/184.24 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 183.96/184.24 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 183.96/184.24 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 183.96/184.24 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 183.96/184.24 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 183.96/184.24 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 183.96/184.24 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 183.96/184.24 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 183.96/184.24 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 183.96/184.24 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 183.96/184.24 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 183.96/184.24 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 183.96/184.24 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 188.92/189.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 188.92/189.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 188.92/189.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 188.92/189.23 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 188.92/189.23 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 188.92/189.23 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 188.92/189.23 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 188.92/189.23 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 188.92/189.23 Found x00:=(x0 (fun (x2:n)=> (P (Xq Xx)))):((P (Xq Xx))->(P (Xq Xx)))
% 188.92/189.23 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 188.92/189.23 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 188.92/189.23 Found x0:(P1 (Xq Xx))
% 188.92/189.23 Instantiate: b:=(Xq Xx):n
% 188.92/189.23 Found x0 as proof of (P2 b)
% 188.92/189.23 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 188.92/189.23 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 188.92/189.23 Found x0:(P1 (Xq Xx))
% 188.92/189.23 Instantiate: b:=(Xq Xx):n
% 188.92/189.23 Found x0 as proof of (P2 b)
% 188.92/189.23 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 188.92/189.23 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 188.92/189.23 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 188.92/189.23 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 188.92/189.23 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 188.92/189.23 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 188.92/189.23 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 188.92/189.23 Found (eq_ref0 (Xp Xx)) as proof of (P (Xp Xx))
% 188.92/189.23 Found ((eq_ref n) (Xp Xx)) as proof of (P (Xp Xx))
% 188.92/189.23 Found ((eq_ref n) (Xp Xx)) as proof of (P (Xp Xx))
% 188.92/189.23 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 188.92/189.23 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 188.92/189.23 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 188.92/189.23 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 188.92/189.23 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 188.92/189.23 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 188.92/189.23 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 188.92/189.23 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 188.92/189.23 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 188.92/189.23 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 188.92/189.23 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 203.15/203.43 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 203.15/203.43 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 203.15/203.43 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 203.15/203.43 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 203.15/203.43 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 203.15/203.43 Found x2:(P b)
% 203.15/203.43 Found x2 as proof of (P0 (Xp Xx))
% 203.15/203.43 Found x10:=(x1 (fun (x3:n)=> (P1 (Xq Xx)))):((P1 (Xq Xx))->(P1 (Xq Xx)))
% 203.15/203.43 Found (x1 (fun (x3:n)=> (P1 (Xq Xx)))) as proof of (P2 (Xq Xx))
% 203.15/203.43 Found (x1 (fun (x3:n)=> (P1 (Xq Xx)))) as proof of (P2 (Xq Xx))
% 203.15/203.43 Found x0:(((eq n) (Xp c0)) (Xq c0))
% 203.15/203.43 Instantiate: a:=(Xp c0):n;b:=(Xq c0):n
% 203.15/203.43 Found x0 as proof of (((eq n) a) b)
% 203.15/203.43 Found x2:(P (Xq Xx))
% 203.15/203.43 Instantiate: a:=(Xq Xx):n
% 203.15/203.43 Found x2 as proof of (P0 a)
% 203.15/203.43 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 203.15/203.43 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 203.15/203.43 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 203.15/203.43 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 203.15/203.43 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 203.15/203.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 203.15/203.43 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 203.15/203.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 203.15/203.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 203.15/203.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 203.15/203.43 Found x2:(P b)
% 203.15/203.43 Found x2 as proof of (P0 (Xp Xx))
% 203.15/203.43 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 203.15/203.43 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 203.15/203.43 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 203.15/203.43 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 203.15/203.43 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 203.15/203.43 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 203.15/203.43 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 203.15/203.43 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 203.15/203.43 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 203.15/203.43 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 203.15/203.43 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 203.15/203.43 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 203.15/203.43 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 203.15/203.43 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 203.15/203.43 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 203.15/203.43 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 203.15/203.43 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 203.15/203.43 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 203.15/203.43 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 203.15/203.43 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 203.15/203.43 Found x00:=(x0 (fun (x2:n)=> (P0 (Xq Xx)))):((P0 (Xq Xx))->(P0 (Xq Xx)))
% 203.15/203.43 Found (x0 (fun (x2:n)=> (P0 (Xq Xx)))) as proof of (P1 (Xq Xx))
% 203.15/203.43 Found (x0 (fun (x2:n)=> (P0 (Xq Xx)))) as proof of (P1 (Xq Xx))
% 203.15/203.43 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 203.15/203.43 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 203.15/203.43 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 203.15/203.43 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 203.15/203.43 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 203.15/203.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 203.15/203.43 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 203.15/203.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 203.15/203.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 203.15/203.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 203.15/203.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 203.15/203.43 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 203.15/203.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 203.15/203.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 203.15/203.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 203.15/203.43 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 203.15/203.43 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 203.15/203.43 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 203.15/203.43 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 203.15/203.43 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 203.15/203.43 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 203.15/203.43 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 203.15/203.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 203.15/203.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 203.15/203.43 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 203.15/203.43 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 207.77/208.06 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 207.77/208.06 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 207.77/208.06 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 207.77/208.06 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 207.77/208.06 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 207.77/208.06 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 207.77/208.06 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 207.77/208.06 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 207.77/208.06 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 207.77/208.06 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 207.77/208.06 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 207.77/208.06 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 207.77/208.06 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 207.77/208.06 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 207.77/208.06 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 207.77/208.06 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 207.77/208.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 207.77/208.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 207.77/208.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 207.77/208.06 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 207.77/208.06 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 207.77/208.06 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 207.77/208.06 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 207.77/208.06 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 207.77/208.06 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 207.77/208.06 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 207.77/208.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 207.77/208.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 207.77/208.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 207.77/208.06 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 207.77/208.06 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 207.77/208.06 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 207.77/208.06 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 207.77/208.06 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 207.77/208.06 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 207.77/208.06 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 207.77/208.06 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 207.77/208.06 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 207.77/208.06 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 207.77/208.06 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 207.77/208.06 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 207.77/208.06 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 207.77/208.06 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 207.77/208.06 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 207.77/208.06 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 207.77/208.06 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 207.77/208.06 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 207.77/208.06 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 207.77/208.06 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 207.77/208.06 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 207.77/208.06 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 207.77/208.06 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 207.77/208.06 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 207.77/208.06 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 207.77/208.06 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 207.77/208.06 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 207.77/208.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 207.77/208.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 207.77/208.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 207.77/208.06 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 207.77/208.06 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 207.77/208.06 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 207.77/208.06 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 207.77/208.06 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 207.77/208.06 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 207.77/208.06 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 207.77/208.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 207.77/208.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 207.77/208.06 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 207.77/208.06 Found x2:(P (Xq Xx))
% 207.77/208.06 Instantiate: b:=(Xq Xx):n
% 207.77/208.06 Found x2 as proof of (P0 b)
% 207.77/208.06 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 207.77/208.06 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 216.35/216.64 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 216.35/216.64 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 216.35/216.64 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b)
% 216.35/216.64 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 216.35/216.64 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 216.35/216.64 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 216.35/216.64 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 216.35/216.64 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 216.35/216.64 Found x2:(P b)
% 216.35/216.64 Instantiate: b0:=b:n
% 216.35/216.64 Found x2 as proof of (P0 b0)
% 216.35/216.64 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 216.35/216.64 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 216.35/216.64 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 216.35/216.64 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 216.35/216.64 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 216.35/216.64 Found x0:(P b)
% 216.35/216.64 Found x0 as proof of (P0 (Xp Xx))
% 216.35/216.64 Found eq_ref000:=(eq_ref00 P1):((P1 (Xq Xx))->(P1 (Xq Xx)))
% 216.35/216.64 Found (eq_ref00 P1) as proof of (P2 (Xq Xx))
% 216.35/216.64 Found ((eq_ref0 (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 216.35/216.64 Found (((eq_ref n) (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 216.35/216.64 Found (((eq_ref n) (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 216.35/216.64 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 216.35/216.64 Found (eq_ref00 P1) as proof of (P2 b)
% 216.35/216.64 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 216.35/216.64 Found (((eq_ref n) b) P1) as proof of (P2 b)
% 216.35/216.64 Found (((eq_ref n) b) P1) as proof of (P2 b)
% 216.35/216.64 Found eq_ref000:=(eq_ref00 P1):((P1 (Xq Xx))->(P1 (Xq Xx)))
% 216.35/216.64 Found (eq_ref00 P1) as proof of (P2 (Xq Xx))
% 216.35/216.64 Found ((eq_ref0 (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 216.35/216.64 Found (((eq_ref n) (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 216.35/216.64 Found (((eq_ref n) (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 216.35/216.64 Found eq_ref000:=(eq_ref00 P1):((P1 (Xq Xx))->(P1 (Xq Xx)))
% 216.35/216.64 Found (eq_ref00 P1) as proof of (P2 (Xq Xx))
% 216.35/216.64 Found ((eq_ref0 (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 216.35/216.64 Found (((eq_ref n) (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 216.35/216.64 Found (((eq_ref n) (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 216.35/216.64 Found x00:=(x0 (fun (x2:n)=> (P1 b))):((P1 b)->(P1 b))
% 216.35/216.64 Found (x0 (fun (x2:n)=> (P1 b))) as proof of (P2 b)
% 216.35/216.64 Found (x0 (fun (x2:n)=> (P1 b))) as proof of (P2 b)
% 216.35/216.64 Found x00:=(x0 (fun (x2:n)=> (P1 b))):((P1 b)->(P1 b))
% 216.35/216.64 Found (x0 (fun (x2:n)=> (P1 b))) as proof of (P2 b)
% 216.35/216.64 Found (x0 (fun (x2:n)=> (P1 b))) as proof of (P2 b)
% 216.35/216.64 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 216.35/216.64 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 216.35/216.64 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 216.35/216.64 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 216.35/216.64 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 216.35/216.64 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 216.35/216.64 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 216.35/216.64 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 216.35/216.64 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 216.35/216.64 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 216.35/216.64 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 216.35/216.64 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 216.35/216.64 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 216.35/216.64 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 216.35/216.64 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 216.35/216.64 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 216.35/216.64 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 216.35/216.64 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 216.35/216.64 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 216.35/216.64 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 216.35/216.64 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 216.35/216.64 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 230.99/231.32 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 230.99/231.32 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 230.99/231.32 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 230.99/231.32 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 230.99/231.32 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 230.99/231.32 Found x0:(P (Xq Xx))
% 230.99/231.32 Found x0 as proof of (P0 (Xq Xx))
% 230.99/231.32 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 230.99/231.32 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 230.99/231.32 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 230.99/231.32 Found x0:(P b)
% 230.99/231.32 Instantiate: b0:=b:n
% 230.99/231.32 Found x0 as proof of (P0 b0)
% 230.99/231.32 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 230.99/231.32 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 230.99/231.32 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 230.99/231.32 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 230.99/231.32 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 230.99/231.32 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 230.99/231.32 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 230.99/231.32 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 230.99/231.32 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 230.99/231.32 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 230.99/231.32 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 230.99/231.32 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 230.99/231.32 Found x2:(P (Xq Xx))
% 230.99/231.32 Instantiate: a:=(Xq Xx):n
% 230.99/231.32 Found x2 as proof of (P0 a)
% 230.99/231.32 Found x0:(((eq n) (Xp c0)) (Xq c0))
% 230.99/231.32 Instantiate: a:=(Xp c0):n;b:=(Xq c0):n
% 230.99/231.32 Found x0 as proof of (((eq n) a) b)
% 230.99/231.32 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 230.99/231.32 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 230.99/231.32 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 230.99/231.32 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 230.99/231.32 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 230.99/231.32 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 230.99/231.32 Found x00:=(x0 (fun (x2:n)=> (P0 (Xq Xx)))):((P0 (Xq Xx))->(P0 (Xq Xx)))
% 230.99/231.32 Found (x0 (fun (x2:n)=> (P0 (Xq Xx)))) as proof of (P1 (Xq Xx))
% 230.99/231.32 Found (x0 (fun (x2:n)=> (P0 (Xq Xx)))) as proof of (P1 (Xq Xx))
% 230.99/231.32 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 239.96/240.28 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 239.96/240.28 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 239.96/240.28 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 239.96/240.28 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 239.96/240.28 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 239.96/240.28 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 239.96/240.28 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 239.96/240.28 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 239.96/240.28 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 239.96/240.28 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 239.96/240.28 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 239.96/240.28 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 239.96/240.28 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 239.96/240.28 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 239.96/240.28 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 239.96/240.28 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 239.96/240.28 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 239.96/240.28 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 239.96/240.28 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 239.96/240.28 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 239.96/240.28 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 239.96/240.28 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 239.96/240.28 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 239.96/240.28 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 239.96/240.28 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 239.96/240.28 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 239.96/240.28 Found x0:(P (Xq Xx))
% 239.96/240.28 Instantiate: a:=(Xq Xx):n
% 239.96/240.28 Found x0 as proof of (P0 a)
% 239.96/240.28 Found x1:(((eq n) (Xp c0)) (Xq c0))
% 239.96/240.28 Instantiate: a:=(Xp c0):n;b:=(Xq c0):n
% 239.96/240.28 Found x1 as proof of (((eq n) a) b)
% 239.96/240.28 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 239.96/240.28 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 239.96/240.28 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 239.96/240.28 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 239.96/240.28 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 239.96/240.28 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 239.96/240.28 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 239.96/240.28 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 239.96/240.28 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 239.96/240.28 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 239.96/240.28 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 239.96/240.28 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 239.96/240.28 Found x00:=(x0 (fun (x2:n)=> (P1 (Xq Xx)))):((P1 (Xq Xx))->(P1 (Xq Xx)))
% 239.96/240.28 Found (x0 (fun (x2:n)=> (P1 (Xq Xx)))) as proof of (P2 (Xq Xx))
% 239.96/240.28 Found (x0 (fun (x2:n)=> (P1 (Xq Xx)))) as proof of (P2 (Xq Xx))
% 239.96/240.28 Found x00:=(x0 (fun (x2:n)=> (P1 (Xq Xx)))):((P1 (Xq Xx))->(P1 (Xq Xx)))
% 239.96/240.28 Found (x0 (fun (x2:n)=> (P1 (Xq Xx)))) as proof of (P2 (Xq Xx))
% 239.96/240.28 Found (x0 (fun (x2:n)=> (P1 (Xq Xx)))) as proof of (P2 (Xq Xx))
% 239.96/240.28 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 239.96/240.28 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 239.96/240.28 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 239.96/240.28 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 239.96/240.28 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 239.96/240.28 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 249.68/250.03 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 249.68/250.03 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 249.68/250.03 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 249.68/250.03 Found (eq_ref0 a) as proof of (((eq n) a) b)
% 249.68/250.03 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 249.68/250.03 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 249.68/250.03 Found ((eq_ref n) a) as proof of (((eq n) a) b)
% 249.68/250.03 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 249.68/250.03 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 249.68/250.03 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 249.68/250.03 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 249.68/250.03 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 249.68/250.03 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 249.68/250.03 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 249.68/250.03 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 249.68/250.03 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 249.68/250.03 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 249.68/250.03 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 249.68/250.03 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 249.68/250.03 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 249.68/250.03 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 249.68/250.03 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 249.68/250.03 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 249.68/250.03 Found x00:=(x0 (fun (x2:n)=> (P (Xq Xx)))):((P (Xq Xx))->(P (Xq Xx)))
% 249.68/250.03 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 249.68/250.03 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 249.68/250.03 Found x00:=(x0 (fun (x2:n)=> (P (Xq Xx)))):((P (Xq Xx))->(P (Xq Xx)))
% 249.68/250.03 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 249.68/250.03 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 249.68/250.03 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 249.68/250.03 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 249.68/250.03 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 249.68/250.03 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 262.96/263.29 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 262.96/263.29 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 262.96/263.29 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 262.96/263.29 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 262.96/263.29 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 262.96/263.29 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 262.96/263.29 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 262.96/263.29 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 262.96/263.29 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 262.96/263.29 Found (eq_ref0 b1) as proof of (((eq n) b1) (Xq Xx))
% 262.96/263.29 Found ((eq_ref n) b1) as proof of (((eq n) b1) (Xq Xx))
% 262.96/263.29 Found ((eq_ref n) b1) as proof of (((eq n) b1) (Xq Xx))
% 262.96/263.29 Found ((eq_ref n) b1) as proof of (((eq n) b1) (Xq Xx))
% 262.96/263.29 Found eq_ref000:=(eq_ref00 P):((P (Xq Xx))->(P (Xq Xx)))
% 262.96/263.29 Found (eq_ref00 P) as proof of (P0 (Xq Xx))
% 262.96/263.29 Found ((eq_ref0 (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 262.96/263.29 Found (((eq_ref n) (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 262.96/263.29 Found (((eq_ref n) (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 262.96/263.29 Found x00:=(x0 (fun (x2:n)=> (P0 (Xq Xx)))):((P0 (Xq Xx))->(P0 (Xq Xx)))
% 262.96/263.29 Found (x0 (fun (x2:n)=> (P0 (Xq Xx)))) as proof of (P1 (Xq Xx))
% 262.96/263.29 Found (x0 (fun (x2:n)=> (P0 (Xq Xx)))) as proof of (P1 (Xq Xx))
% 262.96/263.29 Found eq_ref000:=(eq_ref00 P):((P (Xq Xx))->(P (Xq Xx)))
% 262.96/263.29 Found (eq_ref00 P) as proof of (P0 (Xq Xx))
% 262.96/263.29 Found ((eq_ref0 (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 262.96/263.29 Found (((eq_ref n) (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 262.96/263.29 Found (((eq_ref n) (Xq Xx)) P) as proof of (P0 (Xq Xx))
% 262.96/263.29 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 262.96/263.29 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 262.96/263.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 262.96/263.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 262.96/263.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 262.96/263.29 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 262.96/263.29 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found x00:=(x0 (fun (x2:n)=> (P1 b))):((P1 b)->(P1 b))
% 262.96/263.29 Found (x0 (fun (x2:n)=> (P1 b))) as proof of (P2 b)
% 262.96/263.29 Found (x0 (fun (x2:n)=> (P1 b))) as proof of (P2 b)
% 262.96/263.29 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 262.96/263.29 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 262.96/263.29 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 262.96/263.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 262.96/263.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 262.96/263.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 262.96/263.29 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 262.96/263.29 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 262.96/263.29 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 262.96/263.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 262.96/263.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 262.96/263.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 262.96/263.29 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 262.96/263.29 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 262.96/263.29 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 262.96/263.29 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 262.96/263.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 262.96/263.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 262.96/263.29 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 262.96/263.29 Found x00:=(x0 (fun (x2:n)=> (P1 b))):((P1 b)->(P1 b))
% 262.96/263.29 Found (x0 (fun (x2:n)=> (P1 b))) as proof of (P2 b)
% 262.96/263.29 Found (x0 (fun (x2:n)=> (P1 b))) as proof of (P2 b)
% 262.96/263.29 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 262.96/263.29 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 270.45/270.77 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 270.45/270.77 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 270.45/270.77 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 270.45/270.77 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 270.45/270.77 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 270.45/270.77 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 270.45/270.77 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 270.45/270.77 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 270.45/270.77 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 270.45/270.77 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 270.45/270.77 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 270.45/270.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 270.45/270.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 270.45/270.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 270.45/270.77 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 270.45/270.77 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 270.45/270.77 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 270.45/270.77 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 270.45/270.77 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 270.45/270.77 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 270.45/270.77 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 270.45/270.77 Found (eq_ref0 b1) as proof of (((eq n) b1) (Xq Xx))
% 270.45/270.77 Found ((eq_ref n) b1) as proof of (((eq n) b1) (Xq Xx))
% 270.45/270.77 Found ((eq_ref n) b1) as proof of (((eq n) b1) (Xq Xx))
% 270.45/270.77 Found ((eq_ref n) b1) as proof of (((eq n) b1) (Xq Xx))
% 270.45/270.77 Found x0:(P b)
% 270.45/270.77 Instantiate: b0:=b:n
% 270.45/270.77 Found x0 as proof of (P0 b0)
% 270.45/270.77 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 270.45/270.77 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 270.45/270.77 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 270.45/270.77 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 270.45/270.77 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 270.45/270.77 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 270.45/270.77 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 270.45/270.77 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 270.45/270.77 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 270.45/270.77 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 270.45/270.77 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 278.64/279.02 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 278.64/279.02 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 278.64/279.02 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 278.64/279.02 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 278.64/279.02 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 278.64/279.02 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 278.64/279.02 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 278.64/279.02 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 278.64/279.02 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 278.64/279.02 Found x00:=(x0 (fun (x2:n)=> (P (Xq Xx)))):((P (Xq Xx))->(P (Xq Xx)))
% 278.64/279.02 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 278.64/279.02 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 278.64/279.02 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 278.64/279.02 Found (eq_ref0 b0) as proof of (P b0)
% 278.64/279.02 Found ((eq_ref n) b0) as proof of (P b0)
% 278.64/279.02 Found ((eq_ref n) b0) as proof of (P b0)
% 278.64/279.02 Found ((eq_ref n) b0) as proof of (P b0)
% 278.64/279.02 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 278.64/279.02 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 278.64/279.02 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 278.64/279.02 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 278.64/279.02 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 278.64/279.02 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 278.64/279.02 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 278.64/279.02 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 278.64/279.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 278.64/279.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 278.64/279.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 278.64/279.02 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 278.64/279.02 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xp Xx))
% 278.64/279.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 278.64/279.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 278.64/279.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xp Xx))
% 278.64/279.02 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 278.64/279.02 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 278.64/279.02 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 278.64/279.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 278.64/279.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 278.64/279.02 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 278.64/279.02 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 278.64/279.02 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 278.64/279.02 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 278.64/279.02 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 278.64/279.02 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 278.64/279.02 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 278.64/279.02 Found (eq_ref0 b) as proof of (P b0)
% 278.64/279.02 Found ((eq_ref n) b) as proof of (P b0)
% 278.64/279.02 Found ((eq_ref n) b) as proof of (P b0)
% 278.64/279.02 Found ((eq_ref n) b) as proof of (P b0)
% 278.64/279.02 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 278.64/279.02 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 278.64/279.02 Found (eq_ref0 b0) as proof of (P b0)
% 278.64/279.02 Found ((eq_ref n) b0) as proof of (P b0)
% 278.64/279.02 Found ((eq_ref n) b0) as proof of (P b0)
% 278.64/279.02 Found ((eq_ref n) b0) as proof of (P b0)
% 278.64/279.02 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 278.64/279.02 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found x00:=(x0 (fun (x2:n)=> (P (Xq Xx)))):((P (Xq Xx))->(P (Xq Xx)))
% 278.64/279.02 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 278.64/279.02 Found (x0 (fun (x2:n)=> (P (Xq Xx)))) as proof of (P0 (Xq Xx))
% 278.64/279.02 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 278.64/279.02 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 278.64/279.02 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 290.45/290.80 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 290.45/290.80 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 290.45/290.80 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 290.45/290.80 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 290.45/290.80 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 290.45/290.80 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 290.45/290.80 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 290.45/290.80 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 290.45/290.80 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 290.45/290.80 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 290.45/290.80 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found eq_ref00:=(eq_ref0 a):(((eq n) a) a)
% 290.45/290.80 Found (eq_ref0 a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found ((eq_ref n) a) as proof of (((eq n) a) Xx)
% 290.45/290.80 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 290.45/290.80 Found (eq_ref0 b1) as proof of (((eq n) b1) (Xp Xx))
% 290.45/290.80 Found ((eq_ref n) b1) as proof of (((eq n) b1) (Xp Xx))
% 290.45/290.80 Found ((eq_ref n) b1) as proof of (((eq n) b1) (Xp Xx))
% 290.45/290.80 Found ((eq_ref n) b1) as proof of (((eq n) b1) (Xp Xx))
% 290.45/290.80 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 290.45/290.80 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b1)
% 290.45/290.80 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b1)
% 290.45/290.80 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b1)
% 290.45/290.80 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b1)
% 290.45/290.80 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 290.45/290.80 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 290.45/290.80 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 290.45/290.80 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 290.45/290.80 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b1)
% 290.45/290.80 Found eq_ref00:=(eq_ref0 b1):(((eq n) b1) b1)
% 290.45/290.80 Found (eq_ref0 b1) as proof of (((eq n) b1) (Xq Xx))
% 290.45/290.80 Found ((eq_ref n) b1) as proof of (((eq n) b1) (Xq Xx))
% 290.45/290.80 Found ((eq_ref n) b1) as proof of (((eq n) b1) (Xq Xx))
% 290.45/290.80 Found ((eq_ref n) b1) as proof of (((eq n) b1) (Xq Xx))
% 290.45/290.80 Found eq_ref000:=(eq_ref00 P1):((P1 (Xq Xx))->(P1 (Xq Xx)))
% 290.45/290.80 Found (eq_ref00 P1) as proof of (P2 (Xq Xx))
% 290.45/290.80 Found ((eq_ref0 (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 290.45/290.80 Found (((eq_ref n) (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 290.45/290.80 Found (((eq_ref n) (Xq Xx)) P1) as proof of (P2 (Xq Xx))
% 290.45/290.80 Found x00:=(x0 (fun (x2:n)=> (P1 (Xq Xx)))):((P1 (Xq Xx))->(P1 (Xq Xx)))
% 290.45/290.80 Found (x0 (fun (x2:n)=> (P1 (Xq Xx)))) as proof of (P2 (Xq Xx))
% 290.45/290.80 Found (x0 (fun (x2:n)=> (P1 (Xq Xx)))) as proof of (P2 (Xq Xx))
% 290.45/290.80 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 290.45/290.80 Found (eq_ref00 P) as proof of (P0 b0)
% 290.45/290.80 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 290.45/290.80 Found (((eq_ref n) b0) P) as proof of (P0 b0)
% 290.45/290.80 Found (((eq_ref n) b0) P) as proof of (P0 b0)
% 290.45/290.80 Found x00:=(x0 (fun (x2:n)=> (P b0))):((P b0)->(P b0))
% 290.45/290.80 Found (x0 (fun (x2:n)=> (P b0))) as proof of (P0 b0)
% 290.45/290.80 Found (x0 (fun (x2:n)=> (P b0))) as proof of (P0 b0)
% 290.45/290.80 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 290.45/290.80 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 290.45/290.80 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 290.45/290.80 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 290.45/290.80 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 290.45/290.80 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 290.45/290.80 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 290.45/290.80 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 290.45/290.80 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 290.45/290.80 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 290.45/290.80 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 290.45/290.80 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 290.45/290.80 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 290.45/290.80 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 290.45/290.80 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 299.16/299.54 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 299.16/299.54 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 299.16/299.54 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 299.16/299.54 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 299.16/299.54 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 299.16/299.54 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 299.16/299.54 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 299.16/299.54 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 299.16/299.54 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 299.16/299.54 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 299.16/299.54 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 299.16/299.54 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 299.16/299.54 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 299.16/299.54 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 299.16/299.54 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 299.16/299.54 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 299.16/299.54 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 299.16/299.54 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 299.16/299.54 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 299.16/299.54 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b)
% 299.16/299.54 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 299.16/299.54 Found (eq_ref0 b) as proof of (((eq n) b) (Xp Xx))
% 299.16/299.54 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 299.16/299.54 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 299.16/299.54 Found ((eq_ref n) b) as proof of (((eq n) b) (Xp Xx))
% 299.16/299.54 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 299.16/299.54 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 299.16/299.54 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 299.16/299.54 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 299.16/299.54 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 299.16/299.54 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 299.16/299.54 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 299.16/299.54 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 299.16/299.54 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 299.16/299.54 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 299.16/299.54 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 299.16/299.54 Found (eq_ref0 b0) as proof of (((eq n) b0) (Xq Xx))
% 299.16/299.54 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 299.16/299.54 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 299.16/299.54 Found ((eq_ref n) b0) as proof of (((eq n) b0) (Xq Xx))
% 299.16/299.54 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 299.16/299.54 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 299.16/299.54 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 299.16/299.54 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 299.16/299.54 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 299.16/299.54 Found x2:(P (Xq Xx))
% 299.16/299.54 Instantiate: b0:=(Xq Xx):n
% 299.16/299.54 Found x2 as proof of (P0 b0)
% 299.16/299.54 Found eq_ref00:=(eq_ref0 b):(((eq n) b) b)
% 299.16/299.54 Found (eq_ref0 b) as proof of (((eq n) b) b0)
% 299.16/299.54 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 299.16/299.54 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 299.16/299.54 Found ((eq_ref n) b) as proof of (((eq n) b) b0)
% 299.16/299.54 Found x2:(P b)
% 299.16/299.54 Instantiate: b0:=b:n
% 299.16/299.54 Found x2 as proof of (P0 b0)
% 299.16/299.54 Found eq_ref00:=(eq_ref0 (Xp Xx)):(((eq n) (Xp Xx)) (Xp Xx))
% 299.16/299.54 Found (eq_ref0 (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 299.16/299.54 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 299.16/299.54 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 299.16/299.54 Found ((eq_ref n) (Xp Xx)) as proof of (((eq n) (Xp Xx)) b0)
% 299.16/299.54 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 299.16/299.54 Found (eq_ref0 (Xq Xx)) as proof of (P (Xq Xx))
% 299.16/299.54 Found ((eq_ref n) (Xq Xx)) as proof of (P (Xq Xx))
% 299.16/299.54 Found ((eq_ref n) (Xq Xx)) as proof of (P (Xq Xx))
% 299.16/299.54 Found eq_ref00:=(eq_ref0 (Xq Xx)):(((eq n) (Xq Xx)) (Xq Xx))
% 299.16/299.54 Found (eq_ref0 (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 299.16/299.54 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 299.16/299.54 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 299.16/299.54 Found ((eq_ref n) (Xq Xx)) as proof of (((eq n) (Xq Xx)) b0)
% 299.16/299.54 Found eq_ref00:=(eq_ref0 b0):(((eq n) b0) b0)
% 299.16/299.54 Found (eq_ref0 b0) as proof of (((eq n) b0) b)
% 299.16/299.54 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 299.16/299.54 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 299.16/299.54 Found ((eq_ref n) b0) as proof of (((eq n) b0) b)
% 299.16/299.54 Found x00:=(x0 (fun (x2:n)=> (P b0))):((P b0)->(P b0))
% 299.16/299.54 Found (x0 (fun (x2:n)=> (P b0))) as proof of (P0 b0)
% 299.16/299.54 Found (x0 (fun (x2:n)=> (P b0))) as proof of (P0 b0)
% 299.16/299.54 Found eq_ref00:
%------------------------------------------------------------------------------