TSTP Solution File: SYO207^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO207^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:50:54 EDT 2022
% Result : Timeout 291.01s 291.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO207^5 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % RAMPerCPU : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Fri Mar 11 19:50:54 EST 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.11/0.33 Python 2.7.5
% 1.83/1.98 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 1.83/1.98 FOF formula (forall (Xx:Prop) (Xy:Prop), (((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xy) Xx))) of role conjecture named cCT26
% 1.83/1.98 Conjecture to prove = (forall (Xx:Prop) (Xy:Prop), (((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xy) Xx))):Prop
% 1.83/1.98 We need to prove ['(forall (Xx:Prop) (Xy:Prop), (((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xy) Xx)))']
% 1.83/1.98 Trying to prove (forall (Xx:Prop) (Xy:Prop), (((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xy) Xx)))
% 1.83/1.98 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xx) Xy))->(P (((eq Prop) Xx) Xy)))
% 1.83/1.98 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xx) Xy))
% 1.83/1.98 Found ((eq_ref0 (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 1.83/1.98 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 1.83/1.98 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 1.83/1.98 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 1.83/1.98 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 1.83/1.98 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 1.83/1.98 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 1.83/1.98 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 1.83/1.98 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 1.83/1.98 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 1.83/1.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 1.83/1.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 1.83/1.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 1.83/1.98 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 1.83/1.98 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 1.83/1.98 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 1.83/1.98 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 1.83/1.98 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 1.83/1.98 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 1.83/1.98 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 1.83/1.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 1.83/1.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 1.83/1.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 1.83/1.98 Found x:(P (((eq Prop) Xx) Xy))
% 1.83/1.98 Instantiate: b:=(((eq Prop) Xx) Xy):Prop
% 1.83/1.98 Found x as proof of (P0 b)
% 1.83/1.98 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 1.83/1.98 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 1.83/1.98 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 1.83/1.98 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 1.83/1.98 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 1.83/1.98 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 1.83/1.98 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 1.83/1.98 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 1.83/1.98 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 1.83/1.98 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 1.83/1.98 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 1.83/1.98 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 1.83/1.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 1.83/1.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 1.83/1.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 1.83/1.98 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xx) Xy))->(P (((eq Prop) Xx) Xy)))
% 1.83/1.98 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xx) Xy))
% 1.83/1.98 Found ((eq_ref0 (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 1.83/1.98 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 3.50/3.67 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 3.50/3.67 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 3.50/3.67 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 3.50/3.67 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 3.50/3.67 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 3.50/3.67 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 3.50/3.67 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 3.50/3.67 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 3.50/3.67 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 3.50/3.67 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 3.50/3.67 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 3.50/3.67 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 3.50/3.67 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 3.50/3.67 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 3.50/3.67 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 3.50/3.67 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 3.50/3.67 Found x:(P0 b)
% 3.50/3.67 Instantiate: b:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 3.50/3.67 Found (fun (x:(P0 b))=> x) as proof of (P0 (((eq Prop) Xx) Xy))
% 3.50/3.67 Found (fun (P0:(Prop->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 (((eq Prop) Xx) Xy)))
% 3.50/3.67 Found (fun (P0:(Prop->Prop)) (x:(P0 b))=> x) as proof of (P b)
% 3.50/3.67 Found x:(P (((eq Prop) Xy) Xx))
% 3.50/3.67 Instantiate: b:=(((eq Prop) Xy) Xx):Prop
% 3.50/3.67 Found x as proof of (P0 b)
% 3.50/3.67 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 3.50/3.67 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 3.50/3.67 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 3.50/3.67 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 3.50/3.67 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 3.50/3.67 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 3.50/3.67 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 3.50/3.67 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 3.50/3.67 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 3.50/3.67 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 3.50/3.67 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 3.50/3.67 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 3.50/3.67 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 3.50/3.67 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 3.50/3.67 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 3.50/3.67 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 3.50/3.67 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 3.50/3.67 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 3.50/3.67 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 3.50/3.67 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 3.50/3.67 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 3.50/3.67 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 3.50/3.67 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 3.50/3.67 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 3.50/3.67 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 3.50/3.67 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 3.50/3.67 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 3.50/3.67 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 3.50/3.67 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 3.50/3.67 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 5.89/6.05 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 5.89/6.05 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 5.89/6.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 5.89/6.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 5.89/6.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 5.89/6.05 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 5.89/6.05 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 5.89/6.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 5.89/6.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 5.89/6.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 5.89/6.05 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 5.89/6.05 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 5.89/6.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 5.89/6.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 5.89/6.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 5.89/6.05 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 5.89/6.05 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 5.89/6.05 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 5.89/6.05 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 5.89/6.05 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 5.89/6.05 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 5.89/6.05 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 5.89/6.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 5.89/6.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 5.89/6.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 5.89/6.05 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 5.89/6.05 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 5.89/6.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 5.89/6.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 5.89/6.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 5.89/6.05 Found x2:(P b)
% 5.89/6.05 Found (fun (x2:(P b))=> x2) as proof of (P b)
% 5.89/6.05 Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 5.89/6.05 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 5.89/6.05 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 5.89/6.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 5.89/6.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 5.89/6.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 5.89/6.05 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 5.89/6.05 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 5.89/6.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 5.89/6.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 5.89/6.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 5.89/6.05 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 5.89/6.05 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 5.89/6.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 5.89/6.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 5.89/6.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 5.89/6.05 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 5.89/6.05 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 5.89/6.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 5.89/6.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 5.89/6.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 5.89/6.05 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xx) Xy))->(P (((eq Prop) Xx) Xy)))
% 8.59/8.78 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xx) Xy))
% 8.59/8.78 Found ((eq_ref0 (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 8.59/8.78 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 8.59/8.78 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 8.59/8.78 Found x2:(P b)
% 8.59/8.78 Found (fun (x2:(P b))=> x2) as proof of (P b)
% 8.59/8.78 Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 8.59/8.78 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 8.59/8.78 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 8.59/8.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 8.59/8.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 8.59/8.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 8.59/8.78 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 8.59/8.78 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 8.59/8.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 8.59/8.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 8.59/8.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 8.59/8.78 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 8.59/8.78 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 8.59/8.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 8.59/8.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 8.59/8.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 8.59/8.78 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 8.59/8.78 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 8.59/8.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 8.59/8.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 8.59/8.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 8.59/8.78 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 8.59/8.78 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 8.59/8.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 8.59/8.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 8.59/8.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 8.59/8.78 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 8.59/8.78 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 8.59/8.78 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 8.59/8.78 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 8.59/8.78 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 8.59/8.78 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 8.59/8.78 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 8.59/8.78 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 8.59/8.78 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 8.59/8.78 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 8.59/8.78 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 8.59/8.78 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 8.59/8.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 8.59/8.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 8.59/8.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 8.59/8.78 Found x:(P (((eq Prop) Xx) Xy))
% 8.59/8.78 Instantiate: b:=(((eq Prop) Xx) Xy):Prop
% 8.59/8.78 Found x as proof of (P0 b)
% 8.59/8.78 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 8.59/8.78 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 8.59/8.78 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 8.59/8.78 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 8.59/8.78 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 8.59/8.78 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 10.68/10.85 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 10.68/10.85 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 10.68/10.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 10.68/10.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 10.68/10.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 10.68/10.85 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xx) Xy))->(P (((eq Prop) Xx) Xy)))
% 10.68/10.85 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xx) Xy))
% 10.68/10.85 Found ((eq_ref0 (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 10.68/10.85 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 10.68/10.85 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 10.68/10.85 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 10.68/10.85 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 10.68/10.85 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 10.68/10.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 10.68/10.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 10.68/10.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 10.68/10.85 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 10.68/10.85 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 10.68/10.85 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 10.68/10.85 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 10.68/10.85 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 10.68/10.85 Found x:(P0 b)
% 10.68/10.85 Instantiate: b:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 10.68/10.85 Found (fun (x:(P0 b))=> x) as proof of (P0 (((eq Prop) Xx) Xy))
% 10.68/10.85 Found (fun (P0:(Prop->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 (((eq Prop) Xx) Xy)))
% 10.68/10.85 Found (fun (P0:(Prop->Prop)) (x:(P0 b))=> x) as proof of (P b)
% 10.68/10.85 Found x:(P (((eq Prop) Xy) Xx))
% 10.68/10.85 Instantiate: b:=(((eq Prop) Xy) Xx):Prop
% 10.68/10.85 Found x as proof of (P0 b)
% 10.68/10.85 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 10.68/10.85 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found x:(P (((eq Prop) Xy) Xx))
% 10.68/10.85 Instantiate: b:=(((eq Prop) Xy) Xx):Prop
% 10.68/10.85 Found x as proof of (P0 b)
% 10.68/10.85 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 10.68/10.85 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 10.68/10.85 Found x:(P (((eq Prop) Xx) Xy))
% 10.68/10.85 Instantiate: a:=(((eq Prop) Xx) Xy):Prop
% 10.68/10.85 Found x as proof of (P0 a)
% 10.68/10.85 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 10.68/10.85 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 10.68/10.85 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 10.68/10.85 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 10.68/10.85 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 13.62/13.77 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 13.62/13.77 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 13.62/13.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 13.62/13.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 13.62/13.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 13.62/13.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 13.62/13.77 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 13.62/13.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 13.62/13.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 13.62/13.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 13.62/13.77 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 13.62/13.77 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 13.62/13.77 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 13.62/13.77 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 13.62/13.77 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 13.62/13.77 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 13.62/13.77 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 13.62/13.77 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 13.62/13.77 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 13.62/13.77 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 13.62/13.77 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 13.62/13.77 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 13.62/13.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 13.62/13.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 13.62/13.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 13.62/13.77 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 13.62/13.77 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 13.62/13.77 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 13.62/13.77 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 13.62/13.77 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 13.62/13.77 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 13.62/13.77 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 13.62/13.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 13.62/13.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 13.62/13.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 13.62/13.77 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 13.62/13.77 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 13.62/13.77 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 13.62/13.77 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 13.62/13.77 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 13.62/13.77 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 13.62/13.77 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 13.62/13.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 13.62/13.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 13.62/13.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 13.62/13.77 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 13.62/13.77 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 13.62/13.77 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 13.62/13.77 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 13.62/13.77 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 13.62/13.77 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 13.62/13.77 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 13.62/13.77 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 13.62/13.77 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 14.53/14.72 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 14.53/14.72 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 14.53/14.72 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 14.53/14.72 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 14.53/14.72 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 14.53/14.72 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 14.53/14.72 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 14.53/14.72 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 14.53/14.72 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 14.53/14.72 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 14.53/14.72 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 14.53/14.72 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 14.53/14.72 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 14.53/14.72 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 14.53/14.72 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 14.53/14.72 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 14.53/14.72 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 14.53/14.72 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 14.53/14.72 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 14.53/14.72 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 14.53/14.72 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 16.70/16.88 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 16.70/16.88 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 16.70/16.88 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 16.70/16.88 Found x2:(P b)
% 16.70/16.88 Found (fun (x2:(P b))=> x2) as proof of (P b)
% 16.70/16.88 Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 16.70/16.88 Found x2:(P b)
% 16.70/16.88 Found (fun (x2:(P b))=> x2) as proof of (P b)
% 16.70/16.88 Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 16.70/16.88 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 16.70/16.88 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 16.70/16.88 Found x:(P2 b)
% 16.70/16.88 Instantiate: b:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 16.70/16.88 Found (fun (x:(P2 b))=> x) as proof of (P2 (((eq Prop) Xx) Xy))
% 16.70/16.88 Found (fun (P2:(Prop->Prop)) (x:(P2 b))=> x) as proof of ((P2 b)->(P2 (((eq Prop) Xx) Xy)))
% 16.70/16.88 Found (fun (P2:(Prop->Prop)) (x:(P2 b))=> x) as proof of (P1 b)
% 16.70/16.88 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 16.70/16.88 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 16.70/16.88 Found x:(P2 b)
% 16.70/16.88 Instantiate: b:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 16.70/16.88 Found (fun (x:(P2 b))=> x) as proof of (P2 (((eq Prop) Xx) Xy))
% 16.70/16.88 Found (fun (P2:(Prop->Prop)) (x:(P2 b))=> x) as proof of ((P2 b)->(P2 (((eq Prop) Xx) Xy)))
% 16.70/16.88 Found (fun (P2:(Prop->Prop)) (x:(P2 b))=> x) as proof of (P1 b)
% 16.70/16.88 Found x:(P1 (((eq Prop) Xy) Xx))
% 16.70/16.88 Instantiate: b:=(((eq Prop) Xy) Xx):Prop
% 16.70/16.88 Found x as proof of (P2 b)
% 16.70/16.88 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 16.70/16.88 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 16.70/16.88 Found x:(P1 (((eq Prop) Xy) Xx))
% 16.70/16.88 Instantiate: b:=(((eq Prop) Xy) Xx):Prop
% 16.70/16.88 Found x as proof of (P2 b)
% 16.70/16.88 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 16.70/16.88 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 16.70/16.88 Found x:(P b)
% 16.70/16.88 Instantiate: b0:=b:Prop
% 16.70/16.88 Found x as proof of (P0 b0)
% 16.70/16.88 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 16.70/16.88 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 16.70/16.88 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 16.70/16.88 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 16.70/16.88 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 16.70/16.88 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 20.73/20.94 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 20.73/20.94 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 20.73/20.94 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 20.73/20.94 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 20.73/20.94 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 20.73/20.94 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 20.73/20.94 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 20.73/20.94 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 20.73/20.94 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 20.73/20.94 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 20.73/20.94 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 20.73/20.94 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 20.73/20.94 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 20.73/20.94 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 20.73/20.94 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 20.73/20.94 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 20.73/20.94 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 20.73/20.94 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 20.73/20.94 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 20.73/20.94 Found x:(P b)
% 20.73/20.94 Found x as proof of (P0 (((eq Prop) Xx) Xy))
% 20.73/20.94 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 20.73/20.94 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 20.73/20.94 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 20.73/20.94 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 20.73/20.94 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 20.73/20.94 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 20.73/20.94 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 20.73/20.94 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 20.73/20.94 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 20.73/20.94 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 20.73/20.94 Found x:(P (((eq Prop) Xy) Xx))
% 20.73/20.94 Instantiate: a:=(((eq Prop) Xy) Xx):Prop
% 20.73/20.94 Found x as proof of (P0 a)
% 20.73/20.94 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 20.73/20.94 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 20.73/20.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 20.73/20.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 20.73/20.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 20.73/20.94 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 20.73/20.94 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 20.73/20.94 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 20.73/20.94 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 20.73/20.94 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 20.73/20.94 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 20.73/20.94 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 20.73/20.94 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 20.73/20.94 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 20.73/20.94 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 20.73/20.94 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 20.73/20.94 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 20.73/20.94 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 20.73/20.94 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 20.73/20.94 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 20.73/20.94 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 20.73/20.94 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 20.73/20.94 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 20.73/20.94 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 20.73/20.94 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 20.73/20.94 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 22.85/23.03 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 22.85/23.03 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 22.85/23.03 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 22.85/23.03 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 22.85/23.03 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 22.85/23.03 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 22.85/23.03 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 22.85/23.03 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 22.85/23.03 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 22.85/23.03 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 22.85/23.03 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 22.85/23.03 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 22.85/23.03 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 22.85/23.03 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 22.85/23.03 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 22.85/23.03 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 22.85/23.03 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 22.85/23.03 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 22.85/23.03 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 22.85/23.03 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 22.85/23.03 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 22.85/23.03 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 22.85/23.03 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 22.85/23.03 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 22.85/23.03 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 22.85/23.03 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 22.85/23.03 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 22.85/23.03 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 22.85/23.03 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 22.85/23.03 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 22.85/23.03 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 22.85/23.03 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 22.85/23.03 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 22.85/23.03 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 22.85/23.03 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 22.85/23.03 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 22.85/23.03 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 22.85/23.03 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 22.85/23.03 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 22.85/23.03 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 22.85/23.03 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 22.85/23.03 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 22.85/23.03 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 22.85/23.03 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 22.85/23.03 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 22.85/23.03 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 22.85/23.03 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 22.85/23.03 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 22.85/23.03 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 22.85/23.03 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 22.85/23.03 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 22.85/23.03 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 22.85/23.03 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 24.03/24.20 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 24.03/24.20 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 24.03/24.20 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 24.03/24.20 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 24.03/24.20 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 24.03/24.20 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 24.03/24.20 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 24.03/24.20 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 24.03/24.20 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 24.03/24.20 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 24.03/24.20 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 24.03/24.20 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 24.03/24.20 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 24.03/24.20 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 24.03/24.20 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 24.03/24.20 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 24.03/24.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 24.03/24.20 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 24.03/24.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 24.03/24.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 24.03/24.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 24.03/24.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 24.03/24.20 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 24.03/24.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 24.03/24.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 24.03/24.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 24.03/24.20 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 24.03/24.20 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 24.03/24.20 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 24.03/24.20 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 24.03/24.20 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 24.03/24.20 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 24.03/24.20 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 24.03/24.20 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 24.03/24.20 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 24.03/24.20 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 24.03/24.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 24.03/24.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 24.03/24.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 24.03/24.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 24.03/24.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 24.03/24.20 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 24.03/24.20 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 24.03/24.20 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 24.03/24.20 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 24.03/24.20 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 24.03/24.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 24.03/24.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 24.03/24.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 24.03/24.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 24.03/24.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 24.03/24.20 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 24.03/24.20 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 24.03/24.20 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 27.33/27.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 27.33/27.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 27.33/27.49 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 27.33/27.49 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 27.33/27.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 27.33/27.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 27.33/27.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 27.33/27.49 Found x2:(P1 b)
% 27.33/27.49 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 27.33/27.49 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 27.33/27.49 Found x2:(P1 b)
% 27.33/27.49 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 27.33/27.49 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 27.33/27.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 27.33/27.49 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 27.33/27.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 27.33/27.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 27.33/27.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 27.33/27.49 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 27.33/27.49 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 27.33/27.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 27.33/27.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 27.33/27.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 27.33/27.49 Found x2:(P b)
% 27.33/27.49 Found (fun (x2:(P b))=> x2) as proof of (P b)
% 27.33/27.49 Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 27.33/27.49 Found x2:(P b)
% 27.33/27.49 Found (fun (x2:(P b))=> x2) as proof of (P b)
% 27.33/27.49 Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 27.33/27.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 27.33/27.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 27.33/27.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 27.33/27.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 27.33/27.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 27.33/27.49 Found x:(P0 b0)
% 27.33/27.49 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 27.33/27.49 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 27.33/27.49 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 27.33/27.49 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 27.33/27.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 27.33/27.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 27.33/27.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 27.33/27.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 27.33/27.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 27.33/27.49 Found x:(P0 b0)
% 27.33/27.49 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 27.33/27.49 Found (fun (x:(P0 b0))=> x) as proof of (P0 (((eq Prop) Xx) Xy))
% 27.33/27.49 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 (((eq Prop) Xx) Xy)))
% 27.33/27.49 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 27.33/27.49 Found x:(P (((eq Prop) Xy) Xx))
% 27.33/27.49 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 27.33/27.49 Found x as proof of (P0 b0)
% 27.33/27.49 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 27.33/27.49 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 27.33/27.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 27.33/27.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 27.33/27.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 27.33/27.49 Found x:(P b)
% 27.33/27.49 Instantiate: b0:=b:Prop
% 27.33/27.49 Found x as proof of (P0 b0)
% 27.33/27.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 27.33/27.49 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 27.33/27.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 27.33/27.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 27.33/27.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 31.96/32.16 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 31.96/32.16 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 31.96/32.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 31.96/32.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 31.96/32.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 31.96/32.16 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 31.96/32.16 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 31.96/32.16 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 31.96/32.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 31.96/32.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 31.96/32.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 31.96/32.16 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 31.96/32.16 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 31.96/32.16 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 31.96/32.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 31.96/32.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 31.96/32.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 31.96/32.16 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 31.96/32.16 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 31.96/32.16 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 31.96/32.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 31.96/32.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 31.96/32.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 31.96/32.16 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 31.96/32.16 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 31.96/32.16 Found x2:(P b0)
% 31.96/32.16 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 31.96/32.16 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 31.96/32.16 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 31.96/32.16 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 31.96/32.16 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 31.96/32.16 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 31.96/32.16 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 31.96/32.16 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 31.96/32.16 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 31.96/32.16 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 31.96/32.16 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 31.96/32.16 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 31.96/32.16 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 31.96/32.16 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 31.96/32.16 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 33.39/33.56 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 33.39/33.56 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 33.39/33.56 Found x:(P b)
% 33.39/33.56 Found x as proof of (P0 (((eq Prop) Xy) Xx))
% 33.39/33.56 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 33.39/33.56 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 33.39/33.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 33.39/33.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 33.39/33.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 33.39/33.56 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 33.39/33.56 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 33.39/33.56 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 33.39/33.56 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 33.39/33.56 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 33.39/33.56 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 33.39/33.56 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 33.39/33.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 33.39/33.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 33.39/33.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 33.39/33.56 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 33.39/33.56 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 33.39/33.56 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 33.39/33.56 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 33.39/33.56 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 33.39/33.56 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 33.39/33.56 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 33.39/33.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 33.39/33.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 33.39/33.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 33.39/33.56 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 33.39/33.56 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 33.39/33.56 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 33.39/33.56 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 33.39/33.56 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 33.39/33.56 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 33.39/33.56 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 33.39/33.56 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 33.39/33.56 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 33.39/33.56 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 33.39/33.56 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 33.39/33.56 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 33.39/33.56 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 33.39/33.56 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 33.39/33.56 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 33.39/33.56 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 33.39/33.56 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 33.39/33.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 33.39/33.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 33.39/33.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 33.39/33.56 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 33.39/33.56 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 33.39/33.56 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 33.39/33.56 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 33.39/33.56 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 33.39/33.56 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 33.39/33.56 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 33.39/33.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 33.39/33.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 35.58/35.82 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 35.58/35.82 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 35.58/35.82 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 35.58/35.82 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 35.58/35.82 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 35.58/35.82 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 35.58/35.82 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 35.58/35.82 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 35.58/35.82 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 35.58/35.82 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 35.58/35.82 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 35.58/35.82 Found x2:(P1 b)
% 35.58/35.82 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 35.58/35.82 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 35.58/35.82 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 35.58/35.82 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.58/35.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 38.36/38.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 38.36/38.54 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 38.36/38.54 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 38.36/38.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 38.36/38.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 38.36/38.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 38.36/38.54 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 38.36/38.54 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 38.36/38.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 38.36/38.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 38.36/38.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 38.36/38.54 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 38.36/38.54 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 38.36/38.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 38.36/38.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 38.36/38.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 38.36/38.54 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 38.36/38.54 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 38.36/38.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 38.36/38.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 38.36/38.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 38.36/38.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 38.36/38.54 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 38.36/38.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 38.36/38.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 38.36/38.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 38.36/38.54 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 38.36/38.54 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 38.36/38.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 38.36/38.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 38.36/38.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 38.36/38.54 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 38.36/38.54 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 38.36/38.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 38.36/38.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 38.36/38.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 38.36/38.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 38.36/38.54 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 38.36/38.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 38.36/38.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 38.36/38.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 38.36/38.54 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 38.36/38.54 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 38.36/38.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 38.36/38.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 38.36/38.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 38.36/38.54 Found x:(P (((eq Prop) Xx) Xy))
% 38.36/38.54 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 38.36/38.54 Found x as proof of (P0 b0)
% 38.36/38.54 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 38.36/38.54 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 38.36/38.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 38.36/38.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 38.36/38.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 38.36/38.54 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 38.36/38.54 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 38.36/38.54 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 42.49/42.66 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 42.49/42.66 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 42.49/42.66 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 42.49/42.66 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 42.49/42.66 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 42.49/42.66 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 42.49/42.66 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 42.49/42.66 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 42.49/42.66 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 42.49/42.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 42.49/42.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 42.49/42.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 42.49/42.66 Found x:(P0 b0)
% 42.49/42.66 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 42.49/42.66 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 42.49/42.66 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 42.49/42.66 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 42.49/42.66 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 42.49/42.66 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 42.49/42.66 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 42.49/42.66 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 42.49/42.66 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 42.49/42.66 Found x:(P0 (((eq Prop) Xx) Xy))
% 42.49/42.66 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 42.49/42.66 Found (fun (x:(P0 (((eq Prop) Xx) Xy)))=> x) as proof of (P0 b0)
% 42.49/42.66 Found (fun (P0:(Prop->Prop)) (x:(P0 (((eq Prop) Xx) Xy)))=> x) as proof of ((P0 (((eq Prop) Xx) Xy))->(P0 b0))
% 42.49/42.66 Found (fun (P0:(Prop->Prop)) (x:(P0 (((eq Prop) Xx) Xy)))=> x) as proof of (P b0)
% 42.49/42.66 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 42.49/42.66 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 42.49/42.66 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 42.49/42.66 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 42.49/42.66 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 42.49/42.66 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 42.49/42.66 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 42.49/42.66 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 42.49/42.66 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 42.49/42.66 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 42.49/42.66 Found x2:(P b0)
% 42.49/42.66 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 42.49/42.66 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 42.49/42.66 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xx) Xy))->(P (((eq Prop) Xx) Xy)))
% 42.49/42.66 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xx) Xy))
% 42.49/42.66 Found ((eq_ref0 (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 42.49/42.66 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 42.49/42.66 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 42.49/42.66 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 42.49/42.66 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 42.49/42.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 42.49/42.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 42.49/42.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 42.49/42.66 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 42.49/42.66 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 42.49/42.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 42.49/42.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 42.49/42.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 42.49/42.66 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 43.49/43.66 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 43.49/43.66 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 43.49/43.66 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 43.49/43.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 43.49/43.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 43.49/43.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 43.49/43.66 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 43.49/43.66 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 43.49/43.66 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 43.49/43.66 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 43.49/43.66 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 43.49/43.66 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 43.49/43.66 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 43.49/43.66 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 43.49/43.66 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 43.49/43.66 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.49/43.66 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 43.49/43.66 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 43.49/43.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 43.49/43.66 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 43.49/43.66 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 43.49/43.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 43.49/43.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 43.49/43.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 43.49/43.66 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 46.71/46.91 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 46.71/46.91 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 46.71/46.91 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 46.71/46.91 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 46.71/46.91 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 46.71/46.91 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 46.71/46.91 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 46.71/46.91 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 46.71/46.91 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 46.71/46.91 Found x2:(P b0)
% 46.71/46.91 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 46.71/46.91 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 46.71/46.91 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 46.71/46.91 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 46.71/46.91 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 46.71/46.91 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 46.71/46.91 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 46.71/46.91 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 46.71/46.91 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 46.71/46.91 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 46.71/46.91 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 46.71/46.91 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 46.71/46.91 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 46.71/46.91 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 46.71/46.91 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 46.71/46.91 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 46.71/46.91 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 46.71/46.91 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 46.71/46.91 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 46.71/46.91 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 46.71/46.91 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 46.71/46.91 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 46.71/46.91 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 46.71/46.91 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 46.71/46.91 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 46.71/46.91 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 46.71/46.91 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 46.71/46.91 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 46.71/46.91 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 46.71/46.91 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 46.71/46.91 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 46.71/46.91 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 46.71/46.91 Found x:(P (((eq Prop) Xy) Xx))
% 46.71/46.91 Instantiate: b:=(((eq Prop) Xy) Xx):Prop
% 46.71/46.91 Found x as proof of (P0 b)
% 46.71/46.91 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 46.71/46.91 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 46.71/46.91 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 46.71/46.91 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 46.71/46.91 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 46.71/46.91 Found x:(P (((eq Prop) Xx) Xy))
% 46.71/46.91 Instantiate: a:=(((eq Prop) Xx) Xy):Prop
% 46.71/46.91 Found x as proof of (P0 a)
% 46.71/46.91 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 46.71/46.91 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 46.71/46.91 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 46.71/46.91 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 46.71/46.91 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 46.71/46.91 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 46.71/46.91 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 46.71/46.91 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 46.71/46.91 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 46.71/46.91 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xy) Xx))
% 52.12/52.30 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 52.12/52.30 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 52.12/52.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 52.12/52.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 52.12/52.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 52.12/52.30 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 52.12/52.30 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 52.12/52.30 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 52.12/52.30 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 52.12/52.30 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 52.12/52.30 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 52.12/52.30 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 52.12/52.30 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 52.12/52.30 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 52.12/52.30 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 52.12/52.30 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 52.12/52.30 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 52.12/52.30 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 52.12/52.30 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 52.12/52.30 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found x2:(P b)
% 52.12/52.30 Found (fun (x2:(P b))=> x2) as proof of (P b)
% 52.12/52.30 Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 52.12/52.30 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 52.12/52.30 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 52.12/52.30 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 53.31/53.49 Found x:(P2 b)
% 53.31/53.49 Instantiate: b:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 53.31/53.49 Found (fun (x:(P2 b))=> x) as proof of (P2 (((eq Prop) Xx) Xy))
% 53.31/53.49 Found (fun (P2:(Prop->Prop)) (x:(P2 b))=> x) as proof of ((P2 b)->(P2 (((eq Prop) Xx) Xy)))
% 53.31/53.49 Found (fun (P2:(Prop->Prop)) (x:(P2 b))=> x) as proof of (P1 b)
% 53.31/53.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 53.31/53.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 53.31/53.49 Found x:(P2 b)
% 53.31/53.49 Instantiate: b:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 53.31/53.49 Found (fun (x:(P2 b))=> x) as proof of (P2 (((eq Prop) Xx) Xy))
% 53.31/53.49 Found (fun (P2:(Prop->Prop)) (x:(P2 b))=> x) as proof of ((P2 b)->(P2 (((eq Prop) Xx) Xy)))
% 53.31/53.49 Found (fun (P2:(Prop->Prop)) (x:(P2 b))=> x) as proof of (P1 b)
% 53.31/53.49 Found x:(P1 (((eq Prop) Xy) Xx))
% 53.31/53.49 Instantiate: b:=(((eq Prop) Xy) Xx):Prop
% 53.31/53.49 Found x as proof of (P2 b)
% 53.31/53.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 53.31/53.49 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found x:(P1 (((eq Prop) Xy) Xx))
% 53.31/53.49 Instantiate: b:=(((eq Prop) Xy) Xx):Prop
% 53.31/53.49 Found x as proof of (P2 b)
% 53.31/53.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 53.31/53.49 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found x:(P1 (((eq Prop) Xy) Xx))
% 53.31/53.49 Instantiate: b:=(((eq Prop) Xy) Xx):Prop
% 53.31/53.49 Found x as proof of (P2 b)
% 53.31/53.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 53.31/53.49 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found x:(P1 (((eq Prop) Xy) Xx))
% 53.31/53.49 Instantiate: b:=(((eq Prop) Xy) Xx):Prop
% 53.31/53.49 Found x as proof of (P2 b)
% 53.31/53.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 53.31/53.49 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 53.31/53.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 53.31/53.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 53.31/53.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 53.31/53.49 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 53.31/53.49 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 53.31/53.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 56.69/56.92 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 56.69/56.92 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 56.69/56.92 Found x:(P b)
% 56.69/56.92 Instantiate: b0:=b:Prop
% 56.69/56.92 Found x as proof of (P0 b0)
% 56.69/56.92 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 56.69/56.92 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 56.69/56.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 56.69/56.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 56.69/56.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 56.69/56.92 Found x:(P b)
% 56.69/56.92 Instantiate: b0:=b:Prop
% 56.69/56.92 Found x as proof of (P0 b0)
% 56.69/56.92 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 56.69/56.92 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 56.69/56.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 56.69/56.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 56.69/56.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 56.69/56.92 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 56.69/56.92 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 56.69/56.92 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 56.69/56.92 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 56.69/56.92 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 56.69/56.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 56.69/56.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 56.69/56.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 56.69/56.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 56.69/56.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 56.69/56.92 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 56.69/56.92 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 56.69/56.92 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 56.69/56.92 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 56.69/56.92 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 56.69/56.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 56.69/56.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 56.69/56.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 56.69/56.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 56.69/56.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 56.69/56.92 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 56.69/56.92 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 56.69/56.92 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 56.69/56.92 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 56.69/56.92 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 56.69/56.92 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 56.69/56.92 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 56.69/56.92 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 56.69/56.92 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 56.69/56.92 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 56.69/56.92 Found x:(P b)
% 56.69/56.92 Found x as proof of (P0 (((eq Prop) Xx) Xy))
% 56.69/56.92 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 56.69/56.92 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 56.69/56.92 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 56.69/56.92 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 56.69/56.92 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 62.02/62.22 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 62.02/62.22 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 62.02/62.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 62.02/62.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 62.02/62.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 62.02/62.22 Found x:(P b)
% 62.02/62.22 Found x as proof of (P0 (((eq Prop) Xx) Xy))
% 62.02/62.22 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 62.02/62.22 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 62.02/62.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 62.02/62.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 62.02/62.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 62.02/62.22 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 62.02/62.22 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 62.02/62.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 62.02/62.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 62.02/62.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 62.02/62.22 Found x:(P (((eq Prop) Xy) Xx))
% 62.02/62.22 Instantiate: a:=(((eq Prop) Xy) Xx):Prop
% 62.02/62.22 Found x as proof of (P0 a)
% 62.02/62.22 Found x:(P (((eq Prop) Xy) Xx))
% 62.02/62.22 Instantiate: a:=(((eq Prop) Xy) Xx):Prop
% 62.02/62.22 Found x as proof of (P0 a)
% 62.02/62.22 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 62.02/62.22 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 62.02/62.22 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 62.02/62.22 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 62.02/62.22 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 62.02/62.22 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 62.02/62.22 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 62.02/62.22 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 62.02/62.22 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 62.02/62.22 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 62.02/62.22 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 62.02/62.22 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 62.02/62.22 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 62.02/62.22 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 62.02/62.22 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 62.02/62.22 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 62.02/62.22 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 62.02/62.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 62.02/62.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 62.02/62.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 62.02/62.22 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 62.02/62.22 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 62.02/62.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 62.02/62.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 62.02/62.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 62.02/62.22 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 62.02/62.22 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 62.02/62.22 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 66.27/66.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 66.27/66.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 66.27/66.48 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 66.27/66.48 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 66.27/66.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 66.27/66.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 66.27/66.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 66.27/66.48 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 66.27/66.48 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 66.27/66.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 66.27/66.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 66.27/66.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 66.27/66.48 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 66.27/66.48 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 66.27/66.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 66.27/66.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 66.27/66.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 66.27/66.48 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 66.27/66.48 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 66.27/66.48 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 66.27/66.48 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 66.27/66.48 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 66.27/66.48 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 66.27/66.48 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 66.27/66.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 66.27/66.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 66.27/66.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 66.27/66.48 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 66.27/66.48 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 66.27/66.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 66.27/66.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 66.27/66.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 66.27/66.48 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 66.27/66.48 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 66.27/66.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 66.27/66.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 66.27/66.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 66.27/66.48 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 66.27/66.48 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 66.27/66.48 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 66.27/66.48 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 66.27/66.48 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 66.27/66.48 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 66.27/66.48 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 66.27/66.48 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 66.27/66.48 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 66.27/66.48 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 66.27/66.48 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 66.27/66.48 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 66.27/66.48 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 66.27/66.48 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 66.27/66.48 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 66.27/66.48 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 66.27/66.48 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 66.27/66.48 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 67.27/67.48 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 67.27/67.48 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 67.27/67.48 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 67.27/67.48 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 67.27/67.48 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 67.27/67.48 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 67.27/67.48 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 67.27/67.48 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 67.27/67.48 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 67.27/67.48 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 67.27/67.48 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 67.27/67.48 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 67.27/67.48 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 67.27/67.48 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 67.27/67.48 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 67.27/67.48 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 67.27/67.48 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 67.27/67.48 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 67.27/67.48 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 67.27/67.48 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 67.27/67.48 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 67.27/67.48 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 67.27/67.48 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 68.61/68.81 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 68.61/68.81 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 68.61/68.81 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 68.61/68.81 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 68.61/68.81 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 68.61/68.81 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 68.61/68.81 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 68.61/68.81 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 68.61/68.81 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 68.61/68.81 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 68.61/68.81 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 68.61/68.81 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 68.61/68.81 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 68.61/68.81 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 68.61/68.81 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 68.61/68.81 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 68.61/68.81 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 68.61/68.81 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 68.61/68.81 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 75.04/75.25 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 75.04/75.25 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 75.04/75.25 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 75.04/75.25 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 75.04/75.25 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 75.04/75.25 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 75.04/75.25 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 75.04/75.25 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 75.04/75.25 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 75.04/75.25 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 75.04/75.25 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 75.04/75.25 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 75.04/75.25 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 75.04/75.25 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 75.04/75.25 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 75.04/75.25 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 75.04/75.25 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 75.04/75.25 Found x2:(P1 b)
% 75.04/75.25 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 75.04/75.25 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 75.04/75.25 Found x2:(P1 b)
% 75.04/75.25 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 75.04/75.25 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 75.04/75.25 Found x2:(P1 b)
% 75.04/75.25 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 75.04/75.25 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 75.04/75.25 Found x2:(P1 b)
% 75.04/75.25 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 75.04/75.25 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 75.04/75.25 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 75.04/75.25 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 75.04/75.25 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 75.04/75.25 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 75.04/75.25 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 75.04/75.25 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 75.04/75.25 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 75.04/75.25 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 75.04/75.25 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 75.04/75.25 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 75.04/75.25 Found x2:(P b)
% 75.04/75.25 Found (fun (x2:(P b))=> x2) as proof of (P b)
% 75.04/75.25 Found (fun (x2:(P b))=> x2) as proof of (P0 b)
% 75.04/75.25 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 75.04/75.25 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 75.04/75.25 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 75.04/75.25 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 75.04/75.25 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 75.04/75.25 Found x:(P0 b0)
% 75.04/75.25 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 75.04/75.25 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 75.04/75.25 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 75.04/75.25 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 75.04/75.25 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 75.04/75.25 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 75.04/75.25 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 75.04/75.25 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 75.04/75.25 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 75.04/75.25 Found x:(P0 b0)
% 75.04/75.25 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 75.04/75.25 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 75.04/75.25 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 75.04/75.25 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 75.04/75.25 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 80.28/80.50 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 80.28/80.50 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 80.28/80.50 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 80.28/80.50 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 80.28/80.50 Found x:(P0 b0)
% 80.28/80.50 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 80.28/80.50 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 80.28/80.50 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 80.28/80.50 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 80.28/80.50 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 80.28/80.50 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 80.28/80.50 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 80.28/80.50 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 80.28/80.50 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 80.28/80.50 Found x:(P0 b0)
% 80.28/80.50 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 80.28/80.50 Found (fun (x:(P0 b0))=> x) as proof of (P0 (((eq Prop) Xx) Xy))
% 80.28/80.50 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 (((eq Prop) Xx) Xy)))
% 80.28/80.50 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 80.28/80.50 Found x:(P (((eq Prop) Xy) Xx))
% 80.28/80.50 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 80.28/80.50 Found x as proof of (P0 b0)
% 80.28/80.50 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 80.28/80.50 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found x:(P (((eq Prop) Xy) Xx))
% 80.28/80.50 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 80.28/80.50 Found x as proof of (P0 b0)
% 80.28/80.50 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 80.28/80.50 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found x:(P (((eq Prop) Xy) Xx))
% 80.28/80.50 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 80.28/80.50 Found x as proof of (P0 b0)
% 80.28/80.50 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 80.28/80.50 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found x:(P b)
% 80.28/80.50 Instantiate: b0:=b:Prop
% 80.28/80.50 Found x as proof of (P0 b0)
% 80.28/80.50 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 80.28/80.50 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 80.28/80.50 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 80.28/80.50 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 80.28/80.50 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 80.28/80.50 Found x:(P (((eq Prop) Xy) Xx))
% 80.28/80.50 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 80.28/80.50 Found x as proof of (P0 b0)
% 80.28/80.50 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 80.28/80.50 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 80.28/80.50 Found x:(P b)
% 80.28/80.50 Instantiate: b0:=b:Prop
% 80.28/80.50 Found x as proof of (P0 b0)
% 80.28/80.50 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 80.28/80.50 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 80.28/80.50 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 80.28/80.50 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 80.28/80.50 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 80.28/80.50 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 80.28/80.50 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 80.28/80.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 80.28/80.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 86.53/86.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 86.53/86.76 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 86.53/86.76 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 86.53/86.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 86.53/86.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 86.53/86.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 86.53/86.76 Found x2:(P0 b)
% 86.53/86.76 Found (fun (x2:(P0 b))=> x2) as proof of (P0 b)
% 86.53/86.76 Found (fun (x2:(P0 b))=> x2) as proof of (P1 b)
% 86.53/86.76 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 86.53/86.76 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 86.53/86.76 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 86.53/86.76 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 86.53/86.76 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 86.53/86.76 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 86.53/86.76 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 86.53/86.76 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 86.53/86.76 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 86.53/86.76 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 86.53/86.76 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 86.53/86.76 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 86.53/86.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 86.53/86.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 86.53/86.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 86.53/86.76 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 86.53/86.76 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 86.53/86.76 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 86.53/86.76 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 86.53/86.76 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 86.53/86.76 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 86.53/86.76 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 86.53/86.76 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 86.53/86.76 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 86.53/86.76 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 86.53/86.76 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 86.53/86.76 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 86.53/86.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 86.53/86.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 86.53/86.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 86.53/86.76 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 86.53/86.76 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 86.53/86.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 86.53/86.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 86.53/86.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 86.53/86.76 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 86.53/86.76 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 86.53/86.76 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 86.53/86.76 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 86.53/86.76 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 86.53/86.76 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 86.53/86.76 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 86.53/86.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 86.53/86.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 86.53/86.76 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 86.53/86.76 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 86.53/86.76 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 86.53/86.76 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 86.53/86.76 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 90.17/90.43 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 90.17/90.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 90.17/90.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 90.17/90.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 90.17/90.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 90.17/90.43 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 90.17/90.43 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 90.17/90.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 90.17/90.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 90.17/90.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 90.17/90.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 90.17/90.43 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 90.17/90.43 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 90.17/90.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 90.17/90.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 90.17/90.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 90.17/90.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 90.17/90.43 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 90.17/90.43 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 90.17/90.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 90.17/90.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 90.17/90.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 90.17/90.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 90.17/90.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 90.17/90.43 Found x2:(P b0)
% 90.17/90.43 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 90.17/90.43 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 90.17/90.43 Found x2:(P b0)
% 90.17/90.43 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 90.17/90.43 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 90.17/90.43 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 90.17/90.43 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 90.17/90.43 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 90.17/90.43 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 90.17/90.43 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 90.17/90.43 Found x:(P b)
% 90.17/90.43 Found x as proof of (P0 (((eq Prop) Xy) Xx))
% 90.17/90.43 Found x:(P (((eq Prop) Xy) Xx))
% 90.17/90.43 Found x as proof of (P0 (((eq Prop) Xy) Xx))
% 90.17/90.43 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 90.17/90.43 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 92.29/92.54 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 92.29/92.54 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found x:(P b)
% 92.29/92.54 Found x as proof of (P0 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 92.29/92.54 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 92.29/92.54 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 92.29/92.54 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 92.29/92.54 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 92.29/92.54 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 92.29/92.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 92.29/92.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 92.29/92.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 92.29/92.54 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 92.29/92.54 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 92.29/92.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 92.29/92.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 92.29/92.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 92.29/92.54 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 92.29/92.54 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 92.29/92.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 92.29/92.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 92.29/92.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 92.29/92.54 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 92.29/92.54 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 92.29/92.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 92.29/92.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 92.29/92.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 92.29/92.54 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 92.29/92.54 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 92.29/92.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 92.29/92.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 92.29/92.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 92.29/92.54 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 92.29/92.54 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 93.27/93.50 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 93.27/93.50 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 93.27/93.50 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 93.27/93.50 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 93.27/93.50 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 93.27/93.50 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 93.27/93.50 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 93.27/93.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 93.27/93.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 93.27/93.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 93.27/93.50 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 93.27/93.50 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 93.27/93.50 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 93.27/93.50 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 93.27/93.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 93.27/93.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 93.27/93.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 93.27/93.50 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 93.27/93.50 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 93.27/93.50 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 93.27/93.50 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 93.27/93.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 93.27/93.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 93.27/93.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 93.27/93.50 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 93.27/93.50 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 93.27/93.50 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 93.27/93.50 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 93.27/93.50 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 93.27/93.50 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 93.27/93.50 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 93.27/93.50 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 93.27/93.50 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 93.27/93.50 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 93.27/93.50 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 93.27/93.50 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 93.27/93.50 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 93.27/93.50 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 93.27/93.50 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 93.27/93.50 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 93.27/93.50 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 93.27/93.50 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 94.83/95.09 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 94.83/95.09 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 94.83/95.09 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 94.83/95.09 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 94.83/95.09 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 94.83/95.09 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 94.83/95.09 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 94.83/95.09 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 94.83/95.09 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 94.83/95.09 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 94.83/95.09 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 94.83/95.09 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 94.83/95.09 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 94.83/95.09 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 94.83/95.09 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 94.83/95.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 94.83/95.09 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 94.83/95.09 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 94.83/95.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 94.83/95.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 94.83/95.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 94.83/95.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 94.83/95.09 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 94.83/95.09 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 94.83/95.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 94.83/95.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 94.83/95.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 94.83/95.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 94.83/95.09 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 94.83/95.09 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 94.83/95.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 94.83/95.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 94.83/95.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 94.83/95.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 94.83/95.09 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 94.83/95.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 95.88/96.09 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 95.88/96.09 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 95.88/96.09 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 95.88/96.09 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 95.88/96.09 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 95.88/96.09 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 95.88/96.09 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 95.88/96.09 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 95.88/96.09 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 95.88/96.09 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 95.88/96.09 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 95.88/96.09 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 95.88/96.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 95.88/96.09 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 96.66/96.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 96.66/96.92 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 96.66/96.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 96.66/96.92 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 96.66/96.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 96.66/96.92 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 96.66/96.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 96.66/96.92 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 96.66/96.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 96.66/96.92 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 96.66/96.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 96.66/96.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 96.66/96.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 101.21/101.48 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 101.21/101.48 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 101.21/101.48 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 101.21/101.48 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 101.21/101.48 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 101.21/101.48 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 101.21/101.48 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 101.21/101.48 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 101.21/101.48 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 101.21/101.48 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 101.21/101.48 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 101.21/101.48 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 101.21/101.48 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 101.21/101.48 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 101.21/101.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 103.16/103.37 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 103.16/103.37 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 103.16/103.37 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 103.16/103.37 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 103.16/103.37 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 103.16/103.37 Found x2:(P1 b)
% 103.16/103.37 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 103.16/103.37 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 103.16/103.37 Found x2:(P1 b)
% 103.16/103.37 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 103.16/103.37 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 103.16/103.37 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 103.16/103.37 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 103.16/103.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 103.16/103.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 103.16/103.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 103.16/103.37 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 103.16/103.37 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 103.16/103.37 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 103.16/103.37 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 103.16/103.37 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 103.16/103.37 Found x2:(P1 b)
% 103.16/103.37 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 103.16/103.37 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 103.16/103.37 Found x2:(P1 b)
% 103.16/103.37 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 103.16/103.37 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 103.16/103.37 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 103.16/103.37 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 103.16/103.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 103.16/103.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 103.16/103.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 103.16/103.37 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 103.16/103.37 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 103.16/103.37 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 103.16/103.37 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 103.16/103.37 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 103.16/103.37 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 103.16/103.37 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 103.16/103.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 103.16/103.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 103.16/103.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 103.16/103.37 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 103.16/103.37 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 103.16/103.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 103.16/103.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 103.16/103.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 103.16/103.37 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 103.16/103.37 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 103.16/103.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 103.16/103.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 103.16/103.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 103.16/103.37 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 103.16/103.37 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 103.16/103.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 103.16/103.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 103.16/103.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 103.16/103.37 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 103.16/103.37 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 103.16/103.37 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 103.16/103.37 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 103.16/103.37 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 103.16/103.37 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 110.37/110.59 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 110.37/110.59 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 110.37/110.59 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 110.37/110.59 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 110.37/110.59 Found x2:(P1 b)
% 110.37/110.59 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 110.37/110.59 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 110.37/110.59 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 110.37/110.59 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 110.37/110.59 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 110.37/110.59 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 110.37/110.59 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 110.37/110.59 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 110.37/110.59 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 110.37/110.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 110.37/110.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 110.37/110.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 110.37/110.59 Found x:(P (((eq Prop) Xx) Xy))
% 110.37/110.59 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 110.37/110.59 Found x as proof of (P0 b0)
% 110.37/110.59 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 110.37/110.59 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found x:(P (((eq Prop) Xx) Xy))
% 110.37/110.59 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 110.37/110.59 Found x as proof of (P0 b0)
% 110.37/110.59 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 110.37/110.59 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found x:(P b)
% 110.37/110.59 Instantiate: b0:=b:Prop
% 110.37/110.59 Found x as proof of (P0 b0)
% 110.37/110.59 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 110.37/110.59 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found x:(P (((eq Prop) Xx) Xy))
% 110.37/110.59 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 110.37/110.59 Found x as proof of (P0 b0)
% 110.37/110.59 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 110.37/110.59 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 110.37/110.59 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 110.37/110.59 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 110.37/110.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 110.37/110.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 110.37/110.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 110.37/110.59 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 110.37/110.59 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 110.37/110.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 110.37/110.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 110.37/110.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 110.37/110.59 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 110.37/110.59 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 110.37/110.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 110.37/110.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 111.62/111.91 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 111.62/111.91 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 111.62/111.91 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 111.62/111.91 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 111.62/111.91 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 111.62/111.91 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 111.62/111.91 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 111.62/111.91 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 111.62/111.91 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 111.62/111.91 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 111.62/111.91 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 111.62/111.91 Found x:(P0 b0)
% 111.62/111.91 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 111.62/111.91 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 111.62/111.91 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 111.62/111.91 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 111.62/111.91 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 111.62/111.91 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 111.62/111.91 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 111.62/111.91 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 111.62/111.91 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 111.62/111.91 Found x:(P0 b0)
% 111.62/111.91 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 111.62/111.91 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 111.62/111.91 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 111.62/111.91 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 111.62/111.91 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 111.62/111.91 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 111.62/111.91 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 111.62/111.91 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 111.62/111.91 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 111.62/111.91 Found x:(P0 b0)
% 111.62/111.91 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 111.62/111.91 Found (fun (x:(P0 b0))=> x) as proof of (P0 (((eq Prop) Xy) Xx))
% 111.62/111.91 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 (((eq Prop) Xy) Xx)))
% 111.62/111.91 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 111.62/111.91 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 111.62/111.91 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 111.62/111.91 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 111.62/111.91 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 111.62/111.91 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 111.62/111.91 Found x:(P0 (((eq Prop) Xx) Xy))
% 111.62/111.91 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 111.62/111.91 Found (fun (x:(P0 (((eq Prop) Xx) Xy)))=> x) as proof of (P0 b0)
% 111.62/111.91 Found (fun (P0:(Prop->Prop)) (x:(P0 (((eq Prop) Xx) Xy)))=> x) as proof of ((P0 (((eq Prop) Xx) Xy))->(P0 b0))
% 111.62/111.91 Found (fun (P0:(Prop->Prop)) (x:(P0 (((eq Prop) Xx) Xy)))=> x) as proof of (P b0)
% 111.62/111.91 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 111.62/111.91 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 111.62/111.91 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 111.62/111.91 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 111.62/111.91 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 111.62/111.91 Found x:(P0 b)
% 111.62/111.91 Instantiate: b0:=b:Prop
% 111.62/111.91 Found (fun (x:(P0 b))=> x) as proof of (P0 b0)
% 111.62/111.91 Found (fun (P0:(Prop->Prop)) (x:(P0 b))=> x) as proof of ((P0 b)->(P0 b0))
% 111.62/111.91 Found (fun (P0:(Prop->Prop)) (x:(P0 b))=> x) as proof of (P b0)
% 111.62/111.91 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 121.37/121.63 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 121.37/121.63 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 121.37/121.63 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 121.37/121.63 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 121.37/121.63 Found x:(P0 (((eq Prop) Xx) Xy))
% 121.37/121.63 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 121.37/121.63 Found (fun (x:(P0 (((eq Prop) Xx) Xy)))=> x) as proof of (P0 b0)
% 121.37/121.63 Found (fun (P0:(Prop->Prop)) (x:(P0 (((eq Prop) Xx) Xy)))=> x) as proof of ((P0 (((eq Prop) Xx) Xy))->(P0 b0))
% 121.37/121.63 Found (fun (P0:(Prop->Prop)) (x:(P0 (((eq Prop) Xx) Xy)))=> x) as proof of (P b0)
% 121.37/121.63 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 121.37/121.63 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 121.37/121.63 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 121.37/121.63 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 121.37/121.63 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 121.37/121.63 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 121.37/121.63 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 121.37/121.63 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 121.37/121.63 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 121.37/121.63 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 121.37/121.63 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 121.37/121.63 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 121.37/121.63 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 121.37/121.63 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 121.37/121.63 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 121.37/121.63 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 121.37/121.63 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 121.37/121.63 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 121.37/121.63 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 121.37/121.63 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 121.37/121.63 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 121.37/121.63 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 121.37/121.63 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 121.37/121.63 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 121.37/121.63 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 121.37/121.63 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 121.37/121.63 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 121.37/121.63 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 121.37/121.63 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 121.37/121.63 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 121.37/121.63 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 121.37/121.63 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 121.37/121.63 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 121.37/121.63 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 121.37/121.63 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 121.37/121.63 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 121.37/121.63 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 121.37/121.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 121.37/121.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 121.37/121.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 121.37/121.63 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 121.37/121.63 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 121.37/121.63 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 121.37/121.63 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 121.37/121.63 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 121.37/121.63 Found x2:(P b0)
% 121.37/121.63 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 124.60/124.83 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 124.60/124.83 Found x2:(P b0)
% 124.60/124.83 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 124.60/124.83 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 124.60/124.83 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xx) Xy))->(P (((eq Prop) Xx) Xy)))
% 124.60/124.83 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xx) Xy))
% 124.60/124.83 Found ((eq_ref0 (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 124.60/124.83 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 124.60/124.83 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 124.60/124.83 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xx) Xy))->(P (((eq Prop) Xx) Xy)))
% 124.60/124.83 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xx) Xy))
% 124.60/124.83 Found ((eq_ref0 (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 124.60/124.83 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 124.60/124.83 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 124.60/124.83 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xx) Xy))->(P (((eq Prop) Xx) Xy)))
% 124.60/124.83 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xx) Xy))
% 124.60/124.83 Found ((eq_ref0 (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 124.60/124.83 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 124.60/124.83 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 124.60/124.83 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 124.60/124.83 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 124.60/124.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 124.60/124.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 124.60/124.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 124.60/124.83 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 124.60/124.83 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 124.60/124.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 124.60/124.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 124.60/124.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 124.60/124.83 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 124.60/124.83 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 124.60/124.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 124.60/124.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 124.60/124.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 124.60/124.83 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 124.60/124.83 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 124.60/124.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 124.60/124.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 124.60/124.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 124.60/124.83 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 124.60/124.83 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 124.60/124.83 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 124.60/124.83 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 124.60/124.83 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 124.60/124.83 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 124.60/124.83 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 124.60/124.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 124.60/124.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 124.60/124.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 124.60/124.83 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 124.60/124.83 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 124.60/124.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 124.60/124.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 124.60/124.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 124.60/124.83 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 124.60/124.83 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 124.60/124.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 124.60/124.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 124.60/124.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 124.60/124.83 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 125.53/125.86 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 125.53/125.86 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 125.53/125.86 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 125.53/125.86 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 125.53/125.86 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 125.53/125.86 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 125.53/125.86 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 125.53/125.86 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 125.53/125.86 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 125.53/125.86 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 125.53/125.86 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 125.53/125.86 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 125.53/125.86 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 125.53/125.86 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 125.53/125.86 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 125.53/125.86 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 125.53/125.86 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 125.53/125.86 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 125.53/125.86 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 126.85/127.10 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 126.85/127.10 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 126.85/127.10 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 126.85/127.10 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 126.85/127.10 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 126.85/127.10 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 126.85/127.10 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 126.85/127.10 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 126.85/127.10 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 126.85/127.10 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 126.85/127.10 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 126.85/127.10 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 126.85/127.10 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 126.85/127.10 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 126.85/127.10 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 126.85/127.10 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 126.85/127.10 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 126.85/127.10 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 126.85/127.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 128.54/128.80 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 128.54/128.80 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 128.54/128.80 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 128.54/128.80 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 128.54/128.80 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 128.54/128.80 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 128.54/128.80 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 128.54/128.80 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 128.54/128.80 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 128.54/128.80 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 128.54/128.80 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 128.54/128.80 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 128.54/128.80 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 128.54/128.80 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 128.54/128.80 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 128.54/128.80 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 128.54/128.80 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 128.54/128.80 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 128.54/128.80 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 128.54/128.80 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 128.54/128.80 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 128.54/128.80 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 128.54/128.80 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 128.54/128.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 129.94/130.20 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 129.94/130.20 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 129.94/130.20 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 129.94/130.20 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 129.94/130.20 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 129.94/130.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 129.94/130.20 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 129.94/130.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 129.94/130.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 129.94/130.20 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 129.94/130.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 129.94/130.20 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 129.94/130.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 129.94/130.20 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 129.94/130.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 129.94/130.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 129.94/130.20 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 129.94/130.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 129.94/130.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 129.94/130.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 129.94/130.20 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 129.94/130.20 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 129.94/130.20 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 133.56/133.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 133.56/133.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 133.56/133.83 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 133.56/133.83 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 133.56/133.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 133.56/133.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 133.56/133.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 133.56/133.83 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 133.56/133.83 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 133.56/133.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 133.56/133.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 133.56/133.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 133.56/133.83 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 133.56/133.83 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 133.56/133.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 133.56/133.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 133.56/133.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 133.56/133.83 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 133.56/133.83 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 133.56/133.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 133.56/133.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 133.56/133.83 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 133.56/133.83 Found x2:(P b0)
% 133.56/133.83 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 133.56/133.83 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 133.56/133.83 Found x2:(P b0)
% 133.56/133.83 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 133.56/133.83 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 133.56/133.83 Found x2:(P b0)
% 133.56/133.83 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 133.56/133.83 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 133.56/133.83 Found x2:(P b0)
% 133.56/133.83 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 133.56/133.83 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 133.56/133.83 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 133.56/133.83 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 133.56/133.83 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 133.56/133.83 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 133.56/133.83 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 133.56/133.83 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 133.56/133.83 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 133.56/133.83 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 133.56/133.83 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 133.56/133.83 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 133.56/133.83 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 133.56/133.83 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 133.56/133.83 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 133.56/133.83 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 133.56/133.83 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 133.56/133.83 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 133.56/133.83 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 133.56/133.83 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 133.56/133.83 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 133.56/133.83 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 133.56/133.83 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 133.56/133.83 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 133.56/133.83 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 133.56/133.83 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 133.56/133.83 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 133.56/133.83 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 133.56/133.83 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 133.56/133.83 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 135.94/136.19 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 135.94/136.19 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 135.94/136.19 Found x3:(P b)
% 135.94/136.19 Found (fun (x3:(P b))=> x3) as proof of (P b)
% 135.94/136.19 Found (fun (x3:(P b))=> x3) as proof of (P0 b)
% 135.94/136.19 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 135.94/136.19 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 135.94/136.19 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 135.94/136.19 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 135.94/136.19 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 135.94/136.19 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 135.94/136.19 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 135.94/136.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 135.94/136.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 135.94/136.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 135.94/136.19 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 135.94/136.19 Found (eq_ref0 b0) as proof of (P1 b0)
% 135.94/136.19 Found ((eq_ref Prop) b0) as proof of (P1 b0)
% 135.94/136.19 Found ((eq_ref Prop) b0) as proof of (P1 b0)
% 135.94/136.19 Found ((eq_ref Prop) b0) as proof of (P1 b0)
% 135.94/136.19 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 135.94/136.19 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 135.94/136.19 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 135.94/136.19 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 135.94/136.19 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 135.94/136.19 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 135.94/136.19 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 135.94/136.19 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 135.94/136.19 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 135.94/136.19 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 135.94/136.19 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 135.94/136.19 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 135.94/136.19 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 135.94/136.19 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 135.94/136.19 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 135.94/136.19 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 135.94/136.19 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 135.94/136.19 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 135.94/136.19 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 135.94/136.19 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 135.94/136.19 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 135.94/136.19 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 135.94/136.19 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 135.94/136.19 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 135.94/136.19 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 135.94/136.19 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 135.94/136.19 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b1)
% 135.94/136.19 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 135.94/136.19 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 135.94/136.19 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 135.94/136.19 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 135.94/136.19 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 135.94/136.19 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 135.94/136.19 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 135.94/136.19 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 135.94/136.19 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 135.94/136.19 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 135.94/136.19 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 135.94/136.19 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 135.94/136.19 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 138.02/138.28 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 138.02/138.28 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 138.02/138.28 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 138.02/138.28 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 138.02/138.28 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 138.02/138.28 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 138.02/138.28 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 138.02/138.28 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 138.02/138.28 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 138.02/138.28 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 138.02/138.28 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 138.02/138.28 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 138.02/138.28 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 138.02/138.28 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 138.02/138.28 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 138.02/138.28 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 138.02/138.28 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 138.02/138.28 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 138.02/138.28 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 138.02/138.28 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 138.02/138.28 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 138.02/138.28 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 138.02/138.28 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 138.02/138.28 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 138.02/138.28 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 138.02/138.28 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 138.02/138.28 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 138.02/138.28 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 138.02/138.28 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 138.02/138.28 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 138.02/138.28 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 138.02/138.28 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 138.02/138.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 138.02/138.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 138.02/138.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 138.02/138.28 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 138.02/138.28 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 138.02/138.28 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 138.02/138.28 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 138.02/138.28 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 138.02/138.28 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 138.02/138.28 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 138.02/138.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 138.02/138.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 138.02/138.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 138.02/138.28 Found x0:(P1 (((eq Prop) Xy) Xx))
% 138.02/138.28 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 138.02/138.28 Found x0 as proof of (P2 b0)
% 138.02/138.28 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 138.02/138.28 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 138.02/138.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 138.02/138.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 138.02/138.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 138.02/138.28 Found x:(P b)
% 138.02/138.28 Instantiate: a:=b:Prop
% 138.02/138.28 Found x as proof of (P0 a)
% 138.02/138.28 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 138.02/138.28 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 138.02/138.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 138.02/138.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 138.02/138.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 138.02/138.28 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 138.02/138.28 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 138.02/138.28 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 138.02/138.28 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 138.02/138.28 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 138.02/138.28 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 138.02/138.28 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 138.02/138.28 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 138.02/138.28 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 138.02/138.28 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 141.23/141.52 Found eq_ref000:=(eq_ref00 P1):((P1 a)->(P1 a))
% 141.23/141.52 Found (eq_ref00 P1) as proof of (P2 a)
% 141.23/141.52 Found ((eq_ref0 a) P1) as proof of (P2 a)
% 141.23/141.52 Found (((eq_ref Prop) a) P1) as proof of (P2 a)
% 141.23/141.52 Found (((eq_ref Prop) a) P1) as proof of (P2 a)
% 141.23/141.52 Found x:(P1 b)
% 141.23/141.52 Instantiate: b0:=b:Prop
% 141.23/141.52 Found x as proof of (P2 b0)
% 141.23/141.52 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 141.23/141.52 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 141.23/141.52 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 141.23/141.52 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 141.23/141.52 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 141.23/141.52 Found x:(P1 b)
% 141.23/141.52 Instantiate: b0:=b:Prop
% 141.23/141.52 Found x as proof of (P2 b0)
% 141.23/141.52 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 141.23/141.52 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 141.23/141.52 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 141.23/141.52 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 141.23/141.52 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 141.23/141.52 Found x:(P1 b)
% 141.23/141.52 Found x as proof of (P2 (((eq Prop) Xx) Xy))
% 141.23/141.52 Found x:(P1 b)
% 141.23/141.52 Found x as proof of (P2 (((eq Prop) Xx) Xy))
% 141.23/141.52 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 141.23/141.52 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 141.23/141.52 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 141.23/141.52 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 141.23/141.52 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 141.23/141.52 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 141.23/141.52 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 141.23/141.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 141.23/141.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 141.23/141.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 141.23/141.52 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 141.23/141.52 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 141.23/141.52 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 141.23/141.52 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 141.23/141.52 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 141.23/141.52 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 141.23/141.52 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 141.23/141.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 141.23/141.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 141.23/141.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 141.23/141.52 Found x:(P1 (((eq Prop) Xy) Xx))
% 141.23/141.52 Instantiate: a:=(((eq Prop) Xy) Xx):Prop
% 141.23/141.52 Found x as proof of (P2 a)
% 141.23/141.52 Found x:(P1 (((eq Prop) Xy) Xx))
% 141.23/141.52 Instantiate: a:=(((eq Prop) Xy) Xx):Prop
% 141.23/141.52 Found x as proof of (P2 a)
% 141.23/141.52 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 141.23/141.52 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 141.23/141.52 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 141.23/141.52 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 141.23/141.52 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 141.23/141.52 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 141.23/141.52 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 141.23/141.52 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 141.23/141.52 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 141.23/141.52 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 141.23/141.52 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 141.23/141.52 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 141.23/141.52 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 141.23/141.52 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 141.23/141.52 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 141.23/141.52 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 142.89/143.21 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 142.89/143.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 142.89/143.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 142.89/143.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 142.89/143.21 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 142.89/143.21 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 142.89/143.21 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 142.89/143.21 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 142.89/143.21 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 142.89/143.21 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 142.89/143.21 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 142.89/143.21 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 142.89/143.21 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 142.89/143.21 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 142.89/143.21 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 142.89/143.21 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 142.89/143.21 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 142.89/143.21 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 142.89/143.21 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 142.89/143.21 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 142.89/143.21 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 142.89/143.21 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 142.89/143.21 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 142.89/143.21 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 142.89/143.21 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 142.89/143.21 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 142.89/143.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 142.89/143.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 142.89/143.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 142.89/143.21 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 142.89/143.21 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 142.89/143.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 142.89/143.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 142.89/143.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 142.89/143.21 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 142.89/143.21 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 142.89/143.21 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 142.89/143.21 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 142.89/143.21 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 142.89/143.21 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 142.89/143.21 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 142.89/143.21 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 142.89/143.21 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 142.89/143.21 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 142.89/143.21 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 142.89/143.21 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 142.89/143.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 142.89/143.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 142.89/143.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 142.89/143.21 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 142.89/143.21 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 142.89/143.21 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 142.89/143.21 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 142.89/143.21 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 142.89/143.21 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 142.89/143.21 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 142.89/143.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 142.89/143.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 146.21/146.46 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 146.21/146.46 Found x0:(P1 (((eq Prop) Xx) Xy))
% 146.21/146.46 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 146.21/146.46 Found x0 as proof of (P2 b0)
% 146.21/146.46 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 146.21/146.46 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 146.21/146.46 Found x0:(P1 b)
% 146.21/146.46 Instantiate: b0:=b:Prop
% 146.21/146.46 Found x0 as proof of (P2 b0)
% 146.21/146.46 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 146.21/146.46 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 146.21/146.46 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 146.21/146.46 Found (eq_ref0 b0) as proof of (P1 b0)
% 146.21/146.46 Found ((eq_ref Prop) b0) as proof of (P1 b0)
% 146.21/146.46 Found ((eq_ref Prop) b0) as proof of (P1 b0)
% 146.21/146.46 Found ((eq_ref Prop) b0) as proof of (P1 b0)
% 146.21/146.46 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 146.21/146.46 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 146.21/146.46 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 146.21/146.46 Found (eq_ref0 b0) as proof of (P1 b0)
% 146.21/146.46 Found ((eq_ref Prop) b0) as proof of (P1 b0)
% 146.21/146.46 Found ((eq_ref Prop) b0) as proof of (P1 b0)
% 146.21/146.46 Found ((eq_ref Prop) b0) as proof of (P1 b0)
% 146.21/146.46 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 146.21/146.46 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 146.21/146.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 146.21/146.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 146.21/146.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 146.21/146.46 Found x:(P b0)
% 146.21/146.46 Instantiate: b1:=b0:Prop
% 146.21/146.46 Found x as proof of (P0 b1)
% 146.21/146.46 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 146.21/146.46 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 146.21/146.46 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 146.21/146.46 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (P1 b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (P1 b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (P1 b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (P1 b0)
% 146.21/146.46 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 146.21/146.46 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 146.21/146.46 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 146.21/146.46 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 146.21/146.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.30/149.59 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 149.30/149.59 Found (eq_ref0 b) as proof of (P1 b0)
% 149.30/149.59 Found ((eq_ref Prop) b) as proof of (P1 b0)
% 149.30/149.59 Found ((eq_ref Prop) b) as proof of (P1 b0)
% 149.30/149.59 Found ((eq_ref Prop) b) as proof of (P1 b0)
% 149.30/149.59 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 149.30/149.59 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 149.30/149.59 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 149.30/149.59 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 149.30/149.59 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found x:(P b0)
% 149.30/149.59 Found x as proof of (P0 (((eq Prop) Xx) Xy))
% 149.30/149.59 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 149.30/149.59 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 149.30/149.59 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 149.30/149.59 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 149.30/149.59 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 149.30/149.59 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 149.30/149.59 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.30/149.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.30/149.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.30/149.59 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.30/149.59 Found x:(P2 b0)
% 149.30/149.59 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 149.30/149.59 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 149.74/150.06 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 149.74/150.06 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 149.74/150.06 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 149.74/150.06 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found x:(P2 b0)
% 149.74/150.06 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 149.74/150.06 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 149.74/150.06 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 149.74/150.06 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 149.74/150.06 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 149.74/150.06 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found x:(P2 b0)
% 149.74/150.06 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 149.74/150.06 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 149.74/150.06 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 149.74/150.06 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 149.74/150.06 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 149.74/150.06 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found x:(P2 b0)
% 149.74/150.06 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 149.74/150.06 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 149.74/150.06 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 149.74/150.06 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 149.74/150.06 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 149.74/150.06 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 149.74/150.06 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 149.74/150.06 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 149.74/150.06 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 149.74/150.06 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 149.74/150.06 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 149.74/150.06 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 149.74/150.06 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 149.74/150.06 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 149.74/150.06 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 149.74/150.06 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found x:(P2 b0)
% 149.74/150.06 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 149.74/150.06 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 149.74/150.06 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 149.74/150.06 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 149.74/150.06 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 149.74/150.06 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 149.74/150.06 Found x:(P2 b0)
% 152.18/152.46 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 152.18/152.46 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 152.18/152.46 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 152.18/152.46 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 152.18/152.46 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 152.18/152.46 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 152.18/152.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 152.18/152.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 152.18/152.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 152.18/152.46 Found x:(P2 b0)
% 152.18/152.46 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 152.18/152.46 Found (fun (x:(P2 b0))=> x) as proof of (P2 (((eq Prop) Xx) Xy))
% 152.18/152.46 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 (((eq Prop) Xx) Xy)))
% 152.18/152.46 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 152.18/152.46 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 152.18/152.46 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 152.18/152.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 152.18/152.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 152.18/152.46 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 152.18/152.46 Found x:(P2 b0)
% 152.18/152.46 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 152.18/152.46 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 152.18/152.46 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 152.18/152.46 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 152.18/152.46 Found x:(P1 (((eq Prop) Xy) Xx))
% 152.18/152.46 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 152.18/152.46 Found x as proof of (P2 b0)
% 152.18/152.46 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 152.18/152.46 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found x:(P1 (((eq Prop) Xy) Xx))
% 152.18/152.46 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 152.18/152.46 Found x as proof of (P2 b0)
% 152.18/152.46 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 152.18/152.46 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found eq_ref000:=(eq_ref00 P1):((P1 a)->(P1 a))
% 152.18/152.46 Found (eq_ref00 P1) as proof of (P2 a)
% 152.18/152.46 Found ((eq_ref0 a) P1) as proof of (P2 a)
% 152.18/152.46 Found (((eq_ref Prop) a) P1) as proof of (P2 a)
% 152.18/152.46 Found (((eq_ref Prop) a) P1) as proof of (P2 a)
% 152.18/152.46 Found x:(P1 (((eq Prop) Xy) Xx))
% 152.18/152.46 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 152.18/152.46 Found x as proof of (P2 b0)
% 152.18/152.46 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 152.18/152.46 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found x:(P1 (((eq Prop) Xy) Xx))
% 152.18/152.46 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 152.18/152.46 Found x as proof of (P2 b0)
% 152.18/152.46 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 152.18/152.46 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 152.18/152.46 Found x:(P1 b)
% 152.18/152.46 Instantiate: b0:=b:Prop
% 152.18/152.46 Found x as proof of (P2 b0)
% 152.18/152.46 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 152.18/152.46 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 152.18/152.46 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 152.18/152.46 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 152.18/152.46 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 152.18/152.46 Found x:(P1 (((eq Prop) Xy) Xx))
% 152.18/152.46 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 152.18/152.46 Found x as proof of (P2 b0)
% 152.18/152.46 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 155.99/156.31 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 155.99/156.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 155.99/156.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 155.99/156.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 155.99/156.31 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 155.99/156.31 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 155.99/156.31 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 155.99/156.31 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 155.99/156.31 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 155.99/156.31 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 155.99/156.31 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 155.99/156.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 155.99/156.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 155.99/156.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 155.99/156.31 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 156.06/156.31 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 156.06/156.31 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 156.06/156.31 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 156.06/156.31 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 156.06/156.31 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 156.06/156.31 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 156.06/156.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 156.06/156.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 156.06/156.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 156.06/156.31 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 156.06/156.31 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 156.06/156.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 156.06/156.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 156.06/156.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 156.06/156.31 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 156.06/156.31 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 156.06/156.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 156.06/156.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 156.06/156.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 156.06/156.31 Found x:(P1 (((eq Prop) Xy) Xx))
% 156.06/156.31 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 156.06/156.31 Found x as proof of (P2 b0)
% 156.06/156.31 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 156.06/156.31 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 156.06/156.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 156.06/156.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 156.06/156.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 156.06/156.31 Found x:(P1 (((eq Prop) Xy) Xx))
% 156.06/156.31 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 156.06/156.31 Found x as proof of (P2 b0)
% 156.06/156.31 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 156.06/156.31 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 156.06/156.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 156.06/156.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 156.06/156.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 156.06/156.31 Found x:(P (((eq Prop) Xy) Xx))
% 156.06/156.31 Instantiate: a:=(((eq Prop) Xy) Xx):Prop
% 156.06/156.31 Found x as proof of (P0 a)
% 156.06/156.31 Found x:(P b)
% 156.06/156.31 Instantiate: a:=b:Prop
% 156.06/156.31 Found x as proof of (P0 a)
% 156.06/156.31 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 156.06/156.31 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 156.06/156.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 156.06/156.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 156.06/156.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 156.06/156.31 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 156.06/156.31 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 156.06/156.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 156.06/156.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 156.06/156.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 156.06/156.31 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 156.06/156.31 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 156.06/156.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 159.59/159.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 159.59/159.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 159.59/159.86 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 159.59/159.86 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 159.59/159.86 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 159.59/159.86 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 159.59/159.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 159.59/159.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 159.59/159.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 159.59/159.86 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 159.59/159.86 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 159.59/159.86 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 159.59/159.86 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 159.59/159.86 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 159.59/159.86 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 159.59/159.86 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 159.59/159.86 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 159.59/159.86 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 159.59/159.86 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 159.59/159.86 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 159.59/159.86 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 159.59/159.86 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 159.59/159.86 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 159.59/159.86 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 159.59/159.86 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 159.59/159.86 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 159.59/159.86 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 159.59/159.86 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 159.59/159.86 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 159.59/159.86 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 159.59/159.86 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 159.59/159.86 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 159.59/159.86 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 159.59/159.86 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 159.59/159.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 159.59/159.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 159.59/159.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 159.59/159.86 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 159.59/159.86 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 159.59/159.86 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 159.59/159.86 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 159.59/159.86 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 159.59/159.86 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 159.59/159.86 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 159.59/159.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 159.59/159.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 159.59/159.86 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 159.59/159.86 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 162.89/163.16 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 162.89/163.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 162.89/163.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 162.89/163.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 162.89/163.16 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 162.89/163.16 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 162.89/163.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 162.89/163.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 162.89/163.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 162.89/163.16 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 162.89/163.16 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 162.89/163.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 162.89/163.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 162.89/163.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 162.89/163.16 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 162.89/163.16 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 162.89/163.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 162.89/163.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 162.89/163.16 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 162.89/163.16 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 162.89/163.16 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 162.89/163.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 162.89/163.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 162.89/163.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 162.89/163.16 Found x2:(P1 b0)
% 162.89/163.16 Found (fun (x2:(P1 b0))=> x2) as proof of (P1 b0)
% 162.89/163.16 Found (fun (x2:(P1 b0))=> x2) as proof of (P2 b0)
% 162.89/163.16 Found x2:(P1 b0)
% 162.89/163.16 Found (fun (x2:(P1 b0))=> x2) as proof of (P1 b0)
% 162.89/163.16 Found (fun (x2:(P1 b0))=> x2) as proof of (P2 b0)
% 162.89/163.16 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xx) Xy))->(P1 (((eq Prop) Xx) Xy)))
% 162.89/163.16 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 162.89/163.16 Found ((eq_ref0 (((eq Prop) Xx) Xy)) P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 162.89/163.16 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 162.89/163.16 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 162.89/163.16 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 162.89/163.16 Found (eq_ref00 P1) as proof of (P2 b)
% 162.89/163.16 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 162.89/163.16 Found (((eq_ref Prop) b) P1) as proof of (P2 b)
% 162.89/163.16 Found (((eq_ref Prop) b) P1) as proof of (P2 b)
% 162.89/163.16 Found x:(P1 (((eq Prop) Xy) Xx))
% 162.89/163.16 Found x as proof of (P2 (((eq Prop) Xy) Xx))
% 162.89/163.16 Found x:(P1 b)
% 162.89/163.16 Found x as proof of (P2 (((eq Prop) Xy) Xx))
% 162.89/163.16 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 162.89/163.16 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b2)
% 162.89/163.16 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b2)
% 162.89/163.16 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b2)
% 162.89/163.16 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b2)
% 162.89/163.16 Found eq_ref00:=(eq_ref0 b2):(((eq Prop) b2) b2)
% 162.89/163.16 Found (eq_ref0 b2) as proof of (((eq Prop) b2) (((eq Prop) Xy) Xx))
% 162.89/163.16 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) (((eq Prop) Xy) Xx))
% 162.89/163.16 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) (((eq Prop) Xy) Xx))
% 162.89/163.16 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) (((eq Prop) Xy) Xx))
% 162.89/163.16 Found x:(P1 (((eq Prop) Xy) Xx))
% 162.89/163.16 Found x as proof of (P2 (((eq Prop) Xy) Xx))
% 162.89/163.16 Found x:(P1 (((eq Prop) Xy) Xx))
% 162.89/163.16 Found x as proof of (P2 (((eq Prop) Xy) Xx))
% 162.89/163.16 Found eq_ref000:=(eq_ref00 P3):((P3 (((eq Prop) Xy) Xx))->(P3 (((eq Prop) Xy) Xx)))
% 162.89/163.16 Found (eq_ref00 P3) as proof of (P4 (((eq Prop) Xy) Xx))
% 162.89/163.16 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P3) as proof of (P4 (((eq Prop) Xy) Xx))
% 162.89/163.16 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P3) as proof of (P4 (((eq Prop) Xy) Xx))
% 163.94/164.26 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P3) as proof of (P4 (((eq Prop) Xy) Xx))
% 163.94/164.26 Found eq_ref000:=(eq_ref00 P3):((P3 (((eq Prop) Xy) Xx))->(P3 (((eq Prop) Xy) Xx)))
% 163.94/164.26 Found (eq_ref00 P3) as proof of (P4 (((eq Prop) Xy) Xx))
% 163.94/164.26 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P3) as proof of (P4 (((eq Prop) Xy) Xx))
% 163.94/164.26 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P3) as proof of (P4 (((eq Prop) Xy) Xx))
% 163.94/164.26 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P3) as proof of (P4 (((eq Prop) Xy) Xx))
% 163.94/164.26 Found eq_ref000:=(eq_ref00 P3):((P3 (((eq Prop) Xy) Xx))->(P3 (((eq Prop) Xy) Xx)))
% 163.94/164.26 Found (eq_ref00 P3) as proof of (P4 (((eq Prop) Xy) Xx))
% 163.94/164.26 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P3) as proof of (P4 (((eq Prop) Xy) Xx))
% 163.94/164.26 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P3) as proof of (P4 (((eq Prop) Xy) Xx))
% 163.94/164.26 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P3) as proof of (P4 (((eq Prop) Xy) Xx))
% 163.94/164.26 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 163.94/164.26 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 163.94/164.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 163.94/164.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 163.94/164.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 163.94/164.26 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 163.94/164.26 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 163.94/164.26 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 163.94/164.26 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 163.94/164.26 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 163.94/164.26 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 163.94/164.26 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 163.94/164.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 163.94/164.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 163.94/164.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 163.94/164.26 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 163.94/164.26 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 163.94/164.26 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 163.94/164.26 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 163.94/164.26 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 163.94/164.26 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 163.94/164.26 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 163.94/164.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 163.94/164.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 163.94/164.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 163.94/164.26 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 163.94/164.26 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 163.94/164.26 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 163.94/164.26 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 163.94/164.26 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 163.94/164.26 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 163.94/164.26 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 163.94/164.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 163.94/164.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 163.94/164.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 163.94/164.26 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 163.94/164.26 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 163.94/164.26 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 163.94/164.26 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 163.94/164.26 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 163.94/164.26 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 163.94/164.26 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 163.94/164.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 163.94/164.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 163.94/164.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 163.94/164.26 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 163.94/164.26 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 163.94/164.26 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 163.94/164.26 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 165.21/165.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 165.21/165.49 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 165.21/165.49 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 165.21/165.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 165.21/165.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 165.21/165.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 165.21/165.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 165.21/165.49 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 165.21/165.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 165.21/165.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 165.21/165.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 165.21/165.49 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 165.21/165.49 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 165.21/165.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 165.21/165.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 165.21/165.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 165.21/165.49 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 165.21/165.49 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 165.21/165.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.21/165.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.21/165.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.21/165.49 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 165.21/165.49 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 165.21/165.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 165.21/165.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 165.21/165.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 165.21/165.49 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 165.21/165.49 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 165.21/165.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.21/165.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.21/165.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.21/165.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 165.21/165.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 165.21/165.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 165.21/165.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 165.21/165.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 165.21/165.49 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 165.21/165.49 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 165.21/165.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 165.21/165.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 165.21/165.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 165.21/165.49 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 165.21/165.49 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 165.21/165.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 165.21/165.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 165.21/165.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 165.21/165.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 165.21/165.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 165.21/165.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 165.21/165.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 165.21/165.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 165.21/165.49 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 165.21/165.49 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 165.21/165.49 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 165.21/165.49 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 165.21/165.49 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 165.21/165.49 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 165.21/165.49 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 166.73/167.01 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 166.73/167.01 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 166.73/167.01 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 166.73/167.01 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 166.73/167.01 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 166.73/167.01 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 166.73/167.01 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 166.73/167.01 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 166.73/167.01 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 166.73/167.01 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 166.73/167.01 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 166.73/167.01 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 166.73/167.01 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 166.73/167.01 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 166.73/167.01 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 166.73/167.01 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 166.73/167.01 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 166.73/167.01 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 166.73/167.01 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 166.73/167.01 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 166.73/167.01 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 166.73/167.01 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 166.73/167.01 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 166.73/167.01 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 166.73/167.01 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 167.54/167.79 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 167.54/167.79 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 167.54/167.79 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 167.54/167.79 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 167.54/167.79 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 167.54/167.79 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 167.54/167.79 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 167.54/167.79 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 167.54/167.79 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 167.54/167.79 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 167.54/167.79 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 167.54/167.79 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 167.54/167.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 172.00/172.31 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 172.00/172.31 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 172.00/172.31 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 172.00/172.31 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 172.00/172.31 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 172.00/172.31 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 172.00/172.31 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 172.00/172.31 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 172.00/172.31 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.00/172.31 Found x00:(P1 b0)
% 172.00/172.31 Found (fun (x00:(P1 b0))=> x00) as proof of (P1 b0)
% 172.00/172.31 Found (fun (x00:(P1 b0))=> x00) as proof of (P2 b0)
% 172.00/172.31 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 172.00/172.31 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 172.00/172.31 Found x:(P0 b1)
% 172.00/172.31 Instantiate: b1:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 172.00/172.31 Found (fun (x:(P0 b1))=> x) as proof of (P0 b0)
% 172.00/172.31 Found (fun (P0:(Prop->Prop)) (x:(P0 b1))=> x) as proof of ((P0 b1)->(P0 b0))
% 172.00/172.31 Found (fun (P0:(Prop->Prop)) (x:(P0 b1))=> x) as proof of (P b1)
% 172.00/172.31 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 172.00/172.31 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 172.00/172.31 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 174.98/175.26 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 174.98/175.26 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 174.98/175.26 Found x:(P0 b1)
% 174.98/175.26 Instantiate: b1:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 174.98/175.26 Found (fun (x:(P0 b1))=> x) as proof of (P0 (((eq Prop) Xx) Xy))
% 174.98/175.26 Found (fun (P0:(Prop->Prop)) (x:(P0 b1))=> x) as proof of ((P0 b1)->(P0 (((eq Prop) Xx) Xy)))
% 174.98/175.26 Found (fun (P0:(Prop->Prop)) (x:(P0 b1))=> x) as proof of (P b1)
% 174.98/175.26 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 174.98/175.26 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 174.98/175.26 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 174.98/175.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 174.98/175.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 174.98/175.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 174.98/175.26 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 174.98/175.26 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 174.98/175.26 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 174.98/175.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 174.98/175.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 174.98/175.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 174.98/175.26 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 174.98/175.26 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 174.98/175.26 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 174.98/175.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 174.98/175.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 174.98/175.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 174.98/175.26 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 174.98/175.26 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 174.98/175.26 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 174.98/175.26 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 174.98/175.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 174.98/175.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 174.98/175.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 174.98/175.26 Found x00:(P1 b0)
% 174.98/175.26 Found (fun (x00:(P1 b0))=> x00) as proof of (P1 b0)
% 174.98/175.26 Found (fun (x00:(P1 b0))=> x00) as proof of (P2 b0)
% 174.98/175.26 Found x:(P (((eq Prop) Xy) Xx))
% 174.98/175.26 Instantiate: b1:=(((eq Prop) Xy) Xx):Prop
% 174.98/175.26 Found x as proof of (P0 b1)
% 174.98/175.26 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 174.98/175.26 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b1)
% 174.98/175.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 174.98/175.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 174.98/175.26 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 174.98/175.26 Found x:(P b0)
% 174.98/175.26 Instantiate: b1:=b0:Prop
% 174.98/175.26 Found x as proof of (P0 b1)
% 174.98/175.26 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 180.97/181.28 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 180.97/181.28 Found x2:(P3 b)
% 180.97/181.28 Found (fun (x2:(P3 b))=> x2) as proof of (P3 b)
% 180.97/181.28 Found (fun (x2:(P3 b))=> x2) as proof of (P4 b)
% 180.97/181.28 Found x:(P1 (((eq Prop) Xx) Xy))
% 180.97/181.28 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 180.97/181.28 Found x as proof of (P2 b0)
% 180.97/181.28 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 180.97/181.28 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found x:(P1 (((eq Prop) Xx) Xy))
% 180.97/181.28 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 180.97/181.28 Found x as proof of (P2 b0)
% 180.97/181.28 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 180.97/181.28 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found x:(P1 b)
% 180.97/181.28 Instantiate: b0:=b:Prop
% 180.97/181.28 Found x as proof of (P2 b0)
% 180.97/181.28 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 180.97/181.28 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found x:(P1 (((eq Prop) Xx) Xy))
% 180.97/181.28 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 180.97/181.28 Found x as proof of (P2 b0)
% 180.97/181.28 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 180.97/181.28 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found x:(P1 b)
% 180.97/181.28 Instantiate: b0:=b:Prop
% 180.97/181.28 Found x as proof of (P2 b0)
% 180.97/181.28 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 180.97/181.28 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found x:(P1 b)
% 180.97/181.28 Instantiate: b0:=b:Prop
% 180.97/181.28 Found x as proof of (P2 b0)
% 180.97/181.28 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 180.97/181.28 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 180.97/181.28 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 180.97/181.28 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 180.97/181.28 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 180.97/181.28 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 180.97/181.28 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 180.97/181.28 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 183.72/184.05 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 183.72/184.05 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 183.72/184.05 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found x:(P b0)
% 183.72/184.05 Instantiate: b00:=b0:Prop
% 183.72/184.05 Found x as proof of (P0 b00)
% 183.72/184.05 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 183.72/184.05 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 183.72/184.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 183.72/184.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 183.72/184.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 183.72/184.05 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 183.72/184.05 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 183.72/184.05 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 183.72/184.05 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 183.72/184.05 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 183.72/184.05 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 183.72/184.05 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 183.72/184.05 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 183.72/184.05 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 183.72/184.05 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 183.72/184.05 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 185.89/186.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 185.89/186.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 185.89/186.16 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 185.89/186.16 Found x2:(P b1)
% 185.89/186.16 Found (fun (x2:(P b1))=> x2) as proof of (P b1)
% 185.89/186.16 Found (fun (x2:(P b1))=> x2) as proof of (P0 b1)
% 185.89/186.16 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 185.89/186.16 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 185.89/186.16 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 185.89/186.16 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 185.89/186.16 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 185.89/186.16 Found x:(P2 b0)
% 185.89/186.16 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 185.89/186.16 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 185.89/186.16 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 185.89/186.16 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 185.89/186.16 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 185.89/186.16 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 185.89/186.16 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 185.89/186.16 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 185.89/186.16 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 185.89/186.16 Found x:(P2 b0)
% 185.89/186.16 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 185.89/186.16 Found (fun (x:(P2 b0))=> x) as proof of (P2 (((eq Prop) Xy) Xx))
% 185.89/186.16 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 (((eq Prop) Xy) Xx)))
% 185.89/186.16 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 185.89/186.16 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 185.89/186.16 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 185.89/186.16 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 185.89/186.16 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 185.89/186.16 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 185.89/186.16 Found x:(P2 b0)
% 185.89/186.16 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 185.89/186.16 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 185.89/186.16 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 185.89/186.16 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 185.89/186.16 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 185.89/186.16 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 185.89/186.16 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 185.89/186.16 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 185.89/186.16 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 185.89/186.16 Found x:(P2 b0)
% 185.89/186.16 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 185.89/186.16 Found (fun (x:(P2 b0))=> x) as proof of (P2 b)
% 185.89/186.16 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 b))
% 185.89/186.16 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 185.89/186.16 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 185.89/186.16 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 185.89/186.16 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 185.89/186.16 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 185.89/186.16 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 185.89/186.16 Found x:(P2 b0)
% 185.89/186.16 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 185.89/186.16 Found (fun (x:(P2 b0))=> x) as proof of (P2 (((eq Prop) Xy) Xx))
% 185.89/186.16 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 (((eq Prop) Xy) Xx)))
% 185.89/186.16 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 185.89/186.16 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 185.89/186.16 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 185.89/186.16 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 185.89/186.16 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 185.89/186.16 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 185.89/186.16 Found x:(P2 b0)
% 185.89/186.16 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 186.41/186.69 Found (fun (x:(P2 b0))=> x) as proof of (P2 (((eq Prop) Xy) Xx))
% 186.41/186.69 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of ((P2 b0)->(P2 (((eq Prop) Xy) Xx)))
% 186.41/186.69 Found (fun (P2:(Prop->Prop)) (x:(P2 b0))=> x) as proof of (P1 b0)
% 186.41/186.69 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 186.41/186.69 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found x:(P2 b)
% 186.41/186.69 Instantiate: b0:=b:Prop
% 186.41/186.69 Found (fun (x:(P2 b))=> x) as proof of (P2 b0)
% 186.41/186.69 Found (fun (P2:(Prop->Prop)) (x:(P2 b))=> x) as proof of ((P2 b)->(P2 b0))
% 186.41/186.69 Found (fun (P2:(Prop->Prop)) (x:(P2 b))=> x) as proof of (P1 b0)
% 186.41/186.69 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 186.41/186.69 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found x:(P2 b)
% 186.41/186.69 Instantiate: b0:=b:Prop
% 186.41/186.69 Found (fun (x:(P2 b))=> x) as proof of (P2 b0)
% 186.41/186.69 Found (fun (P2:(Prop->Prop)) (x:(P2 b))=> x) as proof of ((P2 b)->(P2 b0))
% 186.41/186.69 Found (fun (P2:(Prop->Prop)) (x:(P2 b))=> x) as proof of (P1 b0)
% 186.41/186.69 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 186.41/186.69 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found x:(P2 (((eq Prop) Xx) Xy))
% 186.41/186.69 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 186.41/186.69 Found (fun (x:(P2 (((eq Prop) Xx) Xy)))=> x) as proof of (P2 b0)
% 186.41/186.69 Found (fun (P2:(Prop->Prop)) (x:(P2 (((eq Prop) Xx) Xy)))=> x) as proof of ((P2 (((eq Prop) Xx) Xy))->(P2 b0))
% 186.41/186.69 Found (fun (P2:(Prop->Prop)) (x:(P2 (((eq Prop) Xx) Xy)))=> x) as proof of (P1 b0)
% 186.41/186.69 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 186.41/186.69 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found x:(P2 (((eq Prop) Xx) Xy))
% 186.41/186.69 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 186.41/186.69 Found (fun (x:(P2 (((eq Prop) Xx) Xy)))=> x) as proof of (P2 b0)
% 186.41/186.69 Found (fun (P2:(Prop->Prop)) (x:(P2 (((eq Prop) Xx) Xy)))=> x) as proof of ((P2 (((eq Prop) Xx) Xy))->(P2 b0))
% 186.41/186.69 Found (fun (P2:(Prop->Prop)) (x:(P2 (((eq Prop) Xx) Xy)))=> x) as proof of (P1 b0)
% 186.41/186.69 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 186.41/186.69 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found x:(P2 b)
% 186.41/186.69 Instantiate: b0:=b:Prop
% 186.41/186.69 Found (fun (x:(P2 b))=> x) as proof of (P2 b0)
% 186.41/186.69 Found (fun (P2:(Prop->Prop)) (x:(P2 b))=> x) as proof of ((P2 b)->(P2 b0))
% 186.41/186.69 Found (fun (P2:(Prop->Prop)) (x:(P2 b))=> x) as proof of (P1 b0)
% 186.41/186.69 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 186.41/186.69 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 186.41/186.69 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 188.80/189.09 Found x:(P2 (((eq Prop) Xx) Xy))
% 188.80/189.09 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 188.80/189.09 Found (fun (x:(P2 (((eq Prop) Xx) Xy)))=> x) as proof of (P2 b0)
% 188.80/189.09 Found (fun (P2:(Prop->Prop)) (x:(P2 (((eq Prop) Xx) Xy)))=> x) as proof of ((P2 (((eq Prop) Xx) Xy))->(P2 b0))
% 188.80/189.09 Found (fun (P2:(Prop->Prop)) (x:(P2 (((eq Prop) Xx) Xy)))=> x) as proof of (P1 b0)
% 188.80/189.09 Found x:(P1 (((eq Prop) Xy) Xx))
% 188.80/189.09 Instantiate: b:=(((eq Prop) Xy) Xx):Prop
% 188.80/189.09 Found x as proof of (P2 b)
% 188.80/189.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 188.80/189.09 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 188.80/189.09 Found x:(P1 (((eq Prop) Xy) Xx))
% 188.80/189.09 Instantiate: b:=(((eq Prop) Xy) Xx):Prop
% 188.80/189.09 Found x as proof of (P2 b)
% 188.80/189.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 188.80/189.09 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b)
% 188.80/189.09 Found x:(P b0)
% 188.80/189.09 Found x as proof of (P0 (((eq Prop) Xy) Xx))
% 188.80/189.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 188.80/189.09 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 188.80/189.09 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 188.80/189.09 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 188.80/189.09 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 188.80/189.09 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 188.80/189.09 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 188.80/189.09 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 188.80/189.09 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 188.80/189.09 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 188.80/189.09 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 188.80/189.09 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 188.80/189.09 Found x:(P b)
% 188.80/189.09 Instantiate: b0:=b:Prop
% 188.80/189.09 Found x as proof of (P0 b0)
% 188.80/189.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 188.80/189.09 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 188.80/189.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 188.80/189.09 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 188.80/189.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 188.80/189.09 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 188.80/189.09 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 188.80/189.09 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 188.80/189.09 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 188.80/189.09 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 188.80/189.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 191.45/191.74 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 191.45/191.74 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 191.45/191.74 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 191.45/191.74 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 191.45/191.74 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 191.45/191.74 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 191.45/191.74 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 191.45/191.74 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 191.45/191.74 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 191.45/191.74 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 191.45/191.74 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 191.45/191.74 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 191.45/191.74 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 191.45/191.74 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 191.45/191.74 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 191.45/191.74 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 191.45/191.74 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 191.45/191.74 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 191.45/191.74 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 191.45/191.74 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 191.45/191.74 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 191.45/191.74 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 191.45/191.74 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 191.45/191.74 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 191.45/191.74 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 191.45/191.74 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 191.45/191.74 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 191.45/191.74 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 191.45/191.74 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 191.45/191.74 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 191.45/191.74 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 191.45/191.74 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 191.45/191.74 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 191.45/191.74 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 191.45/191.74 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 191.45/191.74 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 191.45/191.74 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 191.45/191.74 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 191.45/191.74 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 191.45/191.74 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 193.91/194.23 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 193.91/194.23 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 193.91/194.23 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 193.91/194.23 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 193.91/194.23 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 193.91/194.23 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 193.91/194.23 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 193.91/194.23 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 193.91/194.23 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 193.91/194.23 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 193.91/194.23 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 193.91/194.23 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 193.91/194.23 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 193.91/194.23 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 193.91/194.23 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 193.91/194.23 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 193.91/194.23 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 193.91/194.23 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 193.91/194.23 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 193.91/194.23 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 193.91/194.23 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 193.91/194.23 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 200.58/200.89 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 200.58/200.89 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 200.58/200.89 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 200.58/200.89 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 200.58/200.89 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 200.58/200.89 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 200.58/200.89 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 200.58/200.89 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 200.58/200.89 Found x:(P (((eq Prop) Xx) Xy))
% 200.58/200.89 Instantiate: a:=(((eq Prop) Xx) Xy):Prop
% 200.58/200.89 Found x as proof of (P0 a)
% 200.58/200.89 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 200.58/200.89 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 200.58/200.89 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 200.58/200.89 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 200.58/200.89 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 200.58/200.89 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 200.58/200.89 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 200.58/200.89 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 200.58/200.89 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 200.58/200.89 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 200.58/200.89 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 200.58/200.89 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 200.58/200.89 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 200.58/200.89 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 200.58/200.89 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 200.58/200.89 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 200.58/200.89 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 200.58/200.89 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 200.58/200.89 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 200.58/200.89 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 200.58/200.89 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 200.58/200.89 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 200.58/200.89 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 200.58/200.89 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 200.58/200.89 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 200.58/200.89 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 200.58/200.89 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 200.58/200.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 200.58/200.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 200.58/200.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 200.58/200.89 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 200.58/200.89 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 200.58/200.89 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 200.58/200.89 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 200.58/200.89 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 200.58/200.89 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 200.58/200.89 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 200.58/200.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 200.58/200.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 200.58/200.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 200.58/200.89 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 200.58/200.89 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 200.58/200.89 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 200.58/200.89 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 200.58/200.89 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 200.58/200.89 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 200.58/200.89 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 200.58/200.89 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 200.58/200.89 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 200.58/200.89 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 200.58/200.89 Found x:(P b)
% 200.58/200.89 Found x as proof of (P0 (((eq Prop) Xx) Xy))
% 200.58/200.89 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 200.58/200.89 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 200.58/200.89 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 205.76/206.09 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 205.76/206.09 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 205.76/206.09 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 205.76/206.09 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 205.76/206.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 205.76/206.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 205.76/206.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 205.76/206.09 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 205.76/206.09 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 205.76/206.09 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 205.76/206.09 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 205.76/206.09 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 205.76/206.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 205.76/206.09 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 205.76/206.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 205.76/206.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 205.76/206.09 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 205.76/206.09 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 205.76/206.09 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 205.76/206.09 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 205.76/206.09 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 205.76/206.09 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 205.76/206.09 Found x:(P (((eq Prop) Xy) Xx))
% 205.76/206.09 Instantiate: a:=(((eq Prop) Xy) Xx):Prop
% 205.76/206.09 Found x as proof of (P0 a)
% 205.76/206.09 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 205.76/206.09 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 205.76/206.09 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 205.76/206.09 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 205.76/206.09 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 205.76/206.09 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 205.76/206.09 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 205.76/206.09 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 205.76/206.09 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 205.76/206.09 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 205.76/206.09 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 205.76/206.09 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 205.76/206.09 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 205.76/206.09 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 205.76/206.09 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 205.76/206.09 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 205.76/206.09 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 205.76/206.09 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 205.76/206.09 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 205.76/206.09 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 205.76/206.09 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 205.76/206.09 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b1)
% 205.76/206.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 205.76/206.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 205.76/206.09 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 205.76/206.09 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 205.76/206.09 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 205.76/206.09 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 205.76/206.09 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 205.76/206.09 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 205.76/206.09 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 205.76/206.09 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 205.76/206.09 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 205.76/206.09 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 205.76/206.09 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 205.76/206.09 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 205.76/206.09 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 214.58/214.87 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 214.58/214.87 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 214.58/214.87 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 214.58/214.87 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 214.58/214.87 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 214.58/214.87 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 214.58/214.87 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 214.58/214.87 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 214.58/214.87 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 214.58/214.87 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xx) Xy))
% 214.58/214.87 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 214.58/214.87 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 214.58/214.87 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 214.58/214.87 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 214.58/214.87 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 214.58/214.87 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 214.58/214.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 214.58/214.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 214.58/214.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 214.58/214.87 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 214.58/214.87 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 214.58/214.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 214.58/214.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 214.58/214.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 214.58/214.87 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 214.58/214.87 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 214.58/214.87 Found x:(P (((eq Prop) Xy) Xx))
% 214.58/214.87 Instantiate: b1:=(((eq Prop) Xy) Xx):Prop
% 214.58/214.87 Found x as proof of (P0 b1)
% 214.58/214.87 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 214.58/214.87 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 214.58/214.87 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 214.58/214.87 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 214.58/214.87 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 214.58/214.87 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 214.58/214.87 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 217.47/217.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 217.47/217.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 217.47/217.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 217.47/217.78 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xx) Xy))->(P1 (((eq Prop) Xx) Xy)))
% 217.47/217.78 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 217.47/217.78 Found ((eq_ref0 (((eq Prop) Xx) Xy)) P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 217.47/217.78 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 217.47/217.78 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 217.47/217.78 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xx) Xy))->(P1 (((eq Prop) Xx) Xy)))
% 217.47/217.78 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 217.47/217.78 Found ((eq_ref0 (((eq Prop) Xx) Xy)) P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 217.47/217.78 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 217.47/217.78 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 217.47/217.78 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xx) Xy))->(P1 (((eq Prop) Xx) Xy)))
% 217.47/217.78 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 217.47/217.78 Found ((eq_ref0 (((eq Prop) Xx) Xy)) P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 217.47/217.78 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 217.47/217.78 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P1) as proof of (P2 (((eq Prop) Xx) Xy))
% 217.47/217.78 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 217.47/217.78 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 217.47/217.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 217.47/217.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 217.47/217.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 217.47/217.78 Found x:(P0 (((eq Prop) Xy) Xx))
% 217.47/217.78 Instantiate: b1:=(((eq Prop) Xy) Xx):Prop
% 217.47/217.78 Found (fun (x:(P0 (((eq Prop) Xy) Xx)))=> x) as proof of (P0 b1)
% 217.47/217.78 Found (fun (P0:(Prop->Prop)) (x:(P0 (((eq Prop) Xy) Xx)))=> x) as proof of ((P0 (((eq Prop) Xy) Xx))->(P0 b1))
% 217.47/217.78 Found (fun (P0:(Prop->Prop)) (x:(P0 (((eq Prop) Xy) Xx)))=> x) as proof of (P b1)
% 217.47/217.78 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 217.47/217.78 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 217.47/217.78 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 217.47/217.78 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 217.47/217.78 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 217.47/217.78 Found x:(P0 b1)
% 217.47/217.78 Instantiate: b1:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 217.47/217.78 Found (fun (x:(P0 b1))=> x) as proof of (P0 b0)
% 217.47/217.78 Found (fun (P0:(Prop->Prop)) (x:(P0 b1))=> x) as proof of ((P0 b1)->(P0 b0))
% 217.47/217.78 Found (fun (P0:(Prop->Prop)) (x:(P0 b1))=> x) as proof of (P b1)
% 217.47/217.78 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 217.47/217.78 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 217.47/217.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 217.47/217.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 217.47/217.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 217.47/217.78 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 217.47/217.78 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 217.47/217.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 217.47/217.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 217.47/217.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 217.47/217.78 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 217.47/217.78 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 217.47/217.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 217.47/217.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 217.47/217.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 217.47/217.78 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 217.47/217.78 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 217.47/217.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 218.90/219.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 218.90/219.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 218.90/219.22 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 218.90/219.22 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 218.90/219.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 218.90/219.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 218.90/219.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 218.90/219.22 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 218.90/219.22 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 218.90/219.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 218.90/219.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 218.90/219.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 218.90/219.22 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 218.90/219.22 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 218.90/219.22 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 218.90/219.22 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 218.90/219.22 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 218.90/219.22 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 218.90/219.22 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 218.90/219.22 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 218.90/219.22 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 218.90/219.22 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 218.90/219.22 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 218.90/219.22 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 218.90/219.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 218.90/219.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 218.90/219.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 218.90/219.22 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 218.90/219.22 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 218.90/219.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 218.90/219.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 218.90/219.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 218.90/219.22 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 218.90/219.22 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 218.90/219.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 218.90/219.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 218.90/219.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 218.90/219.22 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 218.90/219.22 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 218.90/219.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 218.90/219.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 218.90/219.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 218.90/219.22 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 218.90/219.22 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 218.90/219.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 218.90/219.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 218.90/219.22 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 218.90/219.22 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 218.90/219.22 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 218.90/219.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 218.90/219.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 218.90/219.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 218.90/219.22 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 218.90/219.22 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 218.90/219.22 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 218.90/219.22 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 218.90/219.22 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 218.90/219.22 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 220.52/220.87 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 220.52/220.87 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 220.52/220.87 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 220.52/220.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 220.52/220.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 220.52/220.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 220.52/220.87 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 220.52/220.87 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 220.52/220.87 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 220.52/220.87 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 220.52/220.87 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 220.52/220.87 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 220.52/220.87 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 220.52/220.87 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 220.52/220.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 220.52/220.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 220.52/220.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 220.52/220.87 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 220.52/220.87 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 220.52/220.87 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 220.52/220.87 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 220.52/220.87 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 220.52/220.87 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 220.52/220.87 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 220.52/220.87 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 222.04/222.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 222.04/222.43 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 222.04/222.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 222.04/222.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 222.04/222.43 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 222.04/222.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 222.04/222.43 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 222.04/222.43 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 222.04/222.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 222.04/222.43 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.04/222.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 222.04/222.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found x:(P (((eq Prop) Xx) Xy))
% 222.04/222.43 Instantiate: b1:=(((eq Prop) Xx) Xy):Prop
% 222.04/222.43 Found x as proof of (P0 b1)
% 222.04/222.43 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 222.04/222.43 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 222.04/222.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 222.04/222.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 222.04/222.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 222.04/222.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 223.83/224.14 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 223.83/224.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 223.83/224.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 223.83/224.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 223.83/224.14 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 223.83/224.14 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 223.83/224.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.83/224.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.83/224.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.83/224.14 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 223.83/224.14 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 223.83/224.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 223.83/224.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 223.83/224.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 223.83/224.14 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 223.83/224.14 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 223.83/224.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.83/224.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.83/224.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.83/224.14 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 223.83/224.14 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 223.83/224.14 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 223.83/224.14 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 223.83/224.14 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 223.83/224.14 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 223.83/224.14 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 223.83/224.14 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 223.83/224.14 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 223.83/224.14 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 223.83/224.14 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 223.83/224.14 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 223.83/224.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 223.83/224.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 223.83/224.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 223.83/224.14 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 223.83/224.14 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 223.83/224.14 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 223.83/224.14 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 223.83/224.14 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 223.83/224.14 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 223.83/224.14 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 223.83/224.14 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 223.83/224.14 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 223.83/224.14 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 223.83/224.14 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 223.83/224.14 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 223.83/224.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 223.83/224.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 223.83/224.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 223.83/224.14 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 223.83/224.14 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 223.83/224.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 223.83/224.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 223.83/224.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 223.83/224.14 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 223.83/224.14 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 223.83/224.14 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 227.56/227.90 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 227.56/227.90 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 227.56/227.90 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 227.56/227.90 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 227.56/227.90 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 227.56/227.90 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 227.56/227.90 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b)
% 227.56/227.90 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 227.56/227.90 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 227.56/227.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 227.56/227.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 227.56/227.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq Prop) Xx) Xy))
% 227.56/227.90 Found x2:(P1 b0)
% 227.56/227.90 Found (fun (x2:(P1 b0))=> x2) as proof of (P1 b0)
% 227.56/227.90 Found (fun (x2:(P1 b0))=> x2) as proof of (P2 b0)
% 227.56/227.90 Found x2:(P1 b0)
% 227.56/227.90 Found (fun (x2:(P1 b0))=> x2) as proof of (P1 b0)
% 227.56/227.90 Found (fun (x2:(P1 b0))=> x2) as proof of (P2 b0)
% 227.56/227.90 Found x2:(P1 b0)
% 227.56/227.90 Found (fun (x2:(P1 b0))=> x2) as proof of (P1 b0)
% 227.56/227.90 Found (fun (x2:(P1 b0))=> x2) as proof of (P2 b0)
% 227.56/227.90 Found x2:(P1 b0)
% 227.56/227.90 Found (fun (x2:(P1 b0))=> x2) as proof of (P1 b0)
% 227.56/227.90 Found (fun (x2:(P1 b0))=> x2) as proof of (P2 b0)
% 227.56/227.90 Found x2:(P1 b0)
% 227.56/227.90 Found (fun (x2:(P1 b0))=> x2) as proof of (P1 b0)
% 227.56/227.90 Found (fun (x2:(P1 b0))=> x2) as proof of (P2 b0)
% 227.56/227.90 Found x2:(P1 b0)
% 227.56/227.90 Found (fun (x2:(P1 b0))=> x2) as proof of (P1 b0)
% 227.56/227.90 Found (fun (x2:(P1 b0))=> x2) as proof of (P2 b0)
% 227.56/227.90 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 227.56/227.90 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 227.56/227.90 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 227.56/227.90 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 227.56/227.90 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 227.56/227.90 Found eq_ref00:=(eq_ref0 b2):(((eq Prop) b2) b2)
% 227.56/227.90 Found (eq_ref0 b2) as proof of (((eq Prop) b2) b1)
% 227.56/227.90 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 227.56/227.90 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 227.56/227.90 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 227.56/227.90 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 227.56/227.90 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 227.56/227.90 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 227.56/227.90 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 227.56/227.90 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 227.56/227.90 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 227.56/227.90 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 227.56/227.90 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 227.56/227.90 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 227.56/227.90 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 227.56/227.90 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 227.56/227.90 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 227.56/227.90 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 227.56/227.90 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 227.56/227.90 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 227.56/227.90 Found x:(P0 b1)
% 227.56/227.90 Instantiate: b1:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 227.56/227.90 Found (fun (x:(P0 b1))=> x) as proof of (P0 b0)
% 227.56/227.90 Found (fun (P0:(Prop->Prop)) (x:(P0 b1))=> x) as proof of ((P0 b1)->(P0 b0))
% 227.56/227.90 Found (fun (P0:(Prop->Prop)) (x:(P0 b1))=> x) as proof of (P b1)
% 227.56/227.90 Found x2:(P1 b)
% 227.56/227.90 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 227.56/227.90 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 227.56/227.90 Found x2:(P1 b)
% 227.56/227.90 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 227.56/227.90 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 227.56/227.90 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 237.16/237.51 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found x:(P0 (((eq Prop) Xx) Xy))
% 237.16/237.51 Instantiate: b1:=(((eq Prop) Xx) Xy):Prop
% 237.16/237.51 Found (fun (x:(P0 (((eq Prop) Xx) Xy)))=> x) as proof of (P0 b1)
% 237.16/237.51 Found (fun (P0:(Prop->Prop)) (x:(P0 (((eq Prop) Xx) Xy)))=> x) as proof of ((P0 (((eq Prop) Xx) Xy))->(P0 b1))
% 237.16/237.51 Found (fun (P0:(Prop->Prop)) (x:(P0 (((eq Prop) Xx) Xy)))=> x) as proof of (P b1)
% 237.16/237.51 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 237.16/237.51 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 237.16/237.51 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 237.16/237.51 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 237.16/237.51 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 237.16/237.51 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 237.16/237.51 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 237.16/237.51 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 237.16/237.51 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 237.16/237.51 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 237.16/237.51 Found eq_ref00:=(eq_ref0 b2):(((eq Prop) b2) b2)
% 237.16/237.51 Found (eq_ref0 b2) as proof of (((eq Prop) b2) b1)
% 237.16/237.51 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 237.16/237.51 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 237.16/237.51 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 237.16/237.51 Found x:(P (((eq Prop) Xx) Xy))
% 237.16/237.51 Instantiate: b1:=(((eq Prop) Xx) Xy):Prop
% 237.16/237.51 Found x as proof of (P0 b1)
% 237.16/237.51 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 237.16/237.51 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found x00:(P1 b0)
% 237.16/237.51 Found (fun (x00:(P1 b0))=> x00) as proof of (P1 b0)
% 237.16/237.51 Found (fun (x00:(P1 b0))=> x00) as proof of (P2 b0)
% 237.16/237.51 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 237.16/237.51 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 237.16/237.51 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 237.16/237.51 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 237.16/237.51 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 237.16/237.51 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 237.16/237.51 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 237.16/237.51 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 237.16/237.51 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 237.16/237.51 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 237.16/237.51 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 237.16/237.51 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 237.16/237.51 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 237.16/237.51 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 237.16/237.51 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 238.14/238.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 238.14/238.49 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 238.14/238.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 238.14/238.49 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 238.14/238.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 238.14/238.49 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 238.14/238.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 238.14/238.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 238.14/238.49 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 238.14/238.49 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 238.14/238.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 238.14/238.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 238.14/238.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 238.14/238.49 Found x:(P0 b00)
% 238.14/238.49 Instantiate: b00:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 238.14/238.49 Found (fun (x:(P0 b00))=> x) as proof of (P0 b0)
% 238.14/238.49 Found (fun (P0:(Prop->Prop)) (x:(P0 b00))=> x) as proof of ((P0 b00)->(P0 b0))
% 238.14/238.49 Found (fun (P0:(Prop->Prop)) (x:(P0 b00))=> x) as proof of (P b00)
% 238.14/238.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 238.14/238.49 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 238.14/238.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 238.14/238.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 238.14/238.49 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 238.14/238.49 Found x:(P0 b1)
% 238.14/238.49 Instantiate: b1:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 238.14/238.49 Found (fun (x:(P0 b1))=> x) as proof of (P0 b0)
% 238.14/238.49 Found (fun (P0:(Prop->Prop)) (x:(P0 b1))=> x) as proof of ((P0 b1)->(P0 b0))
% 238.14/238.49 Found (fun (P0:(Prop->Prop)) (x:(P0 b1))=> x) as proof of (P b1)
% 244.73/245.11 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 244.73/245.11 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 244.73/245.11 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 244.73/245.11 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 244.73/245.11 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 244.73/245.11 Found x:(P0 (((eq Prop) Xx) Xy))
% 244.73/245.11 Instantiate: b1:=(((eq Prop) Xx) Xy):Prop
% 244.73/245.11 Found (fun (x:(P0 (((eq Prop) Xx) Xy)))=> x) as proof of (P0 b1)
% 244.73/245.11 Found (fun (P0:(Prop->Prop)) (x:(P0 (((eq Prop) Xx) Xy)))=> x) as proof of ((P0 (((eq Prop) Xx) Xy))->(P0 b1))
% 244.73/245.11 Found (fun (P0:(Prop->Prop)) (x:(P0 (((eq Prop) Xx) Xy)))=> x) as proof of (P b1)
% 244.73/245.11 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 244.73/245.11 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 244.73/245.11 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 244.73/245.11 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 244.73/245.11 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 244.73/245.11 Found x:(P0 b0)
% 244.73/245.11 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 244.73/245.11 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 244.73/245.11 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 244.73/245.11 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 244.73/245.11 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 244.73/245.11 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 244.73/245.11 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 244.73/245.11 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 244.73/245.11 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 244.73/245.11 Found x:(P0 b0)
% 244.73/245.11 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xx)->(P Xy))):Prop
% 244.73/245.11 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 244.73/245.11 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 244.73/245.11 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 244.73/245.11 Found x:(P (((eq Prop) Xy) Xx))
% 244.73/245.11 Found x as proof of (P0 (((eq Prop) Xy) Xx))
% 244.73/245.11 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 244.73/245.11 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 244.73/245.11 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 244.73/245.11 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 244.73/245.11 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 244.73/245.11 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 244.73/245.11 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 244.73/245.11 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 244.73/245.11 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 244.73/245.11 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 244.73/245.11 Found x3:(P1 b)
% 244.73/245.11 Found (fun (x3:(P1 b))=> x3) as proof of (P1 b)
% 244.73/245.11 Found (fun (x3:(P1 b))=> x3) as proof of (P2 b)
% 244.73/245.11 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 244.73/245.11 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 244.73/245.11 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 244.73/245.11 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 244.73/245.11 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 244.73/245.11 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 244.73/245.11 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 244.73/245.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 244.73/245.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 244.73/245.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 244.73/245.11 Found x3:(P1 b)
% 244.73/245.11 Found (fun (x3:(P1 b))=> x3) as proof of (P1 b)
% 244.73/245.11 Found (fun (x3:(P1 b))=> x3) as proof of (P2 b)
% 244.73/245.11 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 244.73/245.11 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 244.73/245.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 244.73/245.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 248.15/248.54 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 248.15/248.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 248.15/248.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 248.15/248.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 248.15/248.54 Found x:(P (((eq Prop) Xy) Xx))
% 248.15/248.54 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 248.15/248.54 Found x as proof of (P0 b0)
% 248.15/248.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 248.15/248.54 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found x:(P (((eq Prop) Xy) Xx))
% 248.15/248.54 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 248.15/248.54 Found x as proof of (P0 b0)
% 248.15/248.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 248.15/248.54 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found x3:(P1 b)
% 248.15/248.54 Found (fun (x3:(P1 b))=> x3) as proof of (P1 b)
% 248.15/248.54 Found (fun (x3:(P1 b))=> x3) as proof of (P2 b)
% 248.15/248.54 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 248.15/248.54 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 248.15/248.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 248.15/248.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 248.15/248.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 248.15/248.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 248.15/248.54 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found x:(P (((eq Prop) Xy) Xx))
% 248.15/248.54 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 248.15/248.54 Found x as proof of (P0 b0)
% 248.15/248.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 248.15/248.54 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found x:(P b)
% 248.15/248.54 Instantiate: b0:=b:Prop
% 248.15/248.54 Found x as proof of (P0 b0)
% 248.15/248.54 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 248.15/248.54 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 248.15/248.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 248.15/248.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 248.15/248.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 248.15/248.54 Found x:(P (((eq Prop) Xy) Xx))
% 248.15/248.54 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 248.15/248.54 Found x as proof of (P0 b0)
% 248.15/248.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 248.15/248.54 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found x:(P (((eq Prop) Xy) Xx))
% 248.15/248.54 Instantiate: b0:=(((eq Prop) Xy) Xx):Prop
% 248.15/248.54 Found x as proof of (P0 b0)
% 248.15/248.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 248.15/248.54 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 248.15/248.54 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 248.15/248.54 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 248.15/248.54 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 248.15/248.54 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 248.15/248.54 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 248.15/248.54 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 248.15/248.54 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 248.15/248.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 248.15/248.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 248.15/248.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 255.43/255.78 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 255.43/255.78 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 255.43/255.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 255.43/255.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 255.43/255.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 255.43/255.78 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 255.43/255.78 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 255.43/255.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 255.43/255.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 255.43/255.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 255.43/255.78 Found x2:(P0 b)
% 255.43/255.78 Found (fun (x2:(P0 b))=> x2) as proof of (P0 b)
% 255.43/255.78 Found (fun (x2:(P0 b))=> x2) as proof of (P1 b)
% 255.43/255.78 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 255.43/255.78 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 255.43/255.78 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 255.43/255.78 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 255.43/255.78 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 255.43/255.78 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 255.43/255.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 255.43/255.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 255.43/255.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 255.43/255.78 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 255.43/255.78 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 255.43/255.78 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 255.43/255.78 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 255.43/255.78 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 255.43/255.78 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 255.43/255.78 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 255.43/255.78 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 261.33/261.68 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xx) Xy))->(P (((eq Prop) Xx) Xy)))
% 261.33/261.68 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xx) Xy))
% 261.33/261.68 Found ((eq_ref0 (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 261.33/261.68 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 261.33/261.68 Found (((eq_ref Prop) (((eq Prop) Xx) Xy)) P) as proof of (P0 (((eq Prop) Xx) Xy))
% 261.33/261.68 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 261.33/261.68 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 261.33/261.68 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 261.33/261.68 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 261.33/261.68 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 261.33/261.68 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 261.33/261.68 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 261.33/261.68 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 261.33/261.68 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 261.33/261.68 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.33/261.68 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 261.33/261.68 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 261.33/261.68 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 261.33/261.68 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 262.55/262.96 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 262.55/262.96 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b1)
% 262.55/262.96 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 262.55/262.96 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 262.55/262.96 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 262.55/262.96 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 262.55/262.96 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 262.55/262.96 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 262.55/262.96 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 262.55/262.96 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 262.55/262.96 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 262.55/262.96 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 262.55/262.96 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 262.55/262.96 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 262.55/262.96 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b1)
% 262.55/262.96 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 262.55/262.96 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 262.55/262.96 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 262.55/262.96 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 262.55/262.96 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 262.55/262.96 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 262.55/262.96 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 262.55/262.96 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 262.55/262.96 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 262.55/262.96 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 262.55/262.96 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 262.55/262.96 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 262.55/262.96 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 262.55/262.96 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 262.55/262.96 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 262.55/262.96 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 262.55/262.96 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 262.55/262.96 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 262.55/262.96 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 262.55/262.96 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b1)
% 262.55/262.96 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 262.55/262.96 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 262.55/262.96 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 262.55/262.96 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 262.55/262.96 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 262.55/262.96 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 264.88/265.21 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 264.88/265.21 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 264.88/265.21 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 264.88/265.21 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b1)
% 264.88/265.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 264.88/265.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 264.88/265.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 264.88/265.21 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 264.88/265.21 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 264.88/265.21 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 264.88/265.21 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 264.88/265.21 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 264.88/265.21 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 264.88/265.21 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 264.88/265.21 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 264.88/265.21 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 264.88/265.21 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 264.88/265.21 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 264.88/265.21 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 264.88/265.21 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 264.88/265.21 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 264.88/265.21 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 264.88/265.21 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 264.88/265.21 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 264.88/265.21 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 264.88/265.21 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 264.88/265.21 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 264.88/265.21 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 264.88/265.21 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 264.88/265.21 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 264.88/265.21 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 264.88/265.21 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 264.88/265.21 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 264.88/265.21 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 264.88/265.21 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 264.88/265.21 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 264.88/265.21 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 264.88/265.21 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 264.88/265.21 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 264.88/265.21 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 264.88/265.21 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 264.88/265.21 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 264.88/265.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 264.88/265.21 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 264.88/265.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 264.88/265.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 264.88/265.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 264.88/265.21 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 264.88/265.21 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 264.88/265.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 264.88/265.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 264.88/265.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 264.88/265.21 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 264.88/265.21 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 264.88/265.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 264.88/265.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 264.88/265.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 264.88/265.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 264.88/265.21 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 264.88/265.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 264.88/265.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 264.88/265.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 264.88/265.21 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 268.70/269.07 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 268.70/269.07 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 268.70/269.07 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 268.70/269.07 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 268.70/269.07 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 268.70/269.07 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 268.70/269.07 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 268.70/269.07 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 268.70/269.07 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b1)
% 268.70/269.07 Found x2:(P b1)
% 268.70/269.07 Found (fun (x2:(P b1))=> x2) as proof of (P b1)
% 268.70/269.07 Found (fun (x2:(P b1))=> x2) as proof of (P0 b1)
% 268.70/269.07 Found x2:(P b0)
% 268.70/269.07 Found (fun (x2:(P b0))=> x2) as proof of (P b0)
% 268.70/269.07 Found (fun (x2:(P b0))=> x2) as proof of (P0 b0)
% 268.70/269.07 Found x:(P (((eq Prop) Xx) Xy))
% 268.70/269.07 Found x as proof of (P0 (((eq Prop) Xx) Xy))
% 268.70/269.07 Found x:(P (((eq Prop) Xy) Xx))
% 268.70/269.07 Found x as proof of (P0 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found x:(P b)
% 268.70/269.07 Found x as proof of (P0 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found x:(P (((eq Prop) Xy) Xx))
% 268.70/269.07 Found x as proof of (P0 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 268.70/269.07 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 268.70/269.07 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 268.70/269.07 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 268.70/269.07 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 268.70/269.07 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 268.70/269.07 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 268.70/269.07 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found eq_ref000:=(eq_ref00 P1):((P1 (((eq Prop) Xy) Xx))->(P1 (((eq Prop) Xy) Xx)))
% 268.70/269.07 Found (eq_ref00 P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 268.70/269.07 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 270.63/271.00 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 270.63/271.00 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P1) as proof of (P2 (((eq Prop) Xy) Xx))
% 270.63/271.00 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 270.63/271.00 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 270.63/271.00 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 270.63/271.00 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 270.63/271.00 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 270.63/271.00 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 270.63/271.00 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 270.63/271.00 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 270.63/271.00 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 270.63/271.00 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 270.63/271.00 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 270.63/271.00 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 270.63/271.00 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 270.63/271.00 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 270.63/271.00 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 270.63/271.00 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 270.63/271.00 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 270.63/271.00 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 270.63/271.00 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 270.63/271.00 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 270.63/271.00 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 270.63/271.00 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 270.63/271.00 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 270.63/271.00 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 270.63/271.00 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 270.63/271.00 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 270.63/271.00 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 270.63/271.00 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 270.63/271.00 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 270.63/271.00 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 270.63/271.00 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 270.63/271.00 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 270.63/271.00 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 270.63/271.00 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 270.63/271.00 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 270.63/271.00 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 270.63/271.00 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 270.63/271.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 270.63/271.00 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 270.63/271.00 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 270.63/271.00 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 270.63/271.00 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 272.99/273.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 272.99/273.35 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 272.99/273.35 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 272.99/273.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 272.99/273.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 272.99/273.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 272.99/273.35 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 272.99/273.35 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 272.99/273.35 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 272.99/273.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 272.99/273.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 272.99/273.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 272.99/273.35 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 272.99/273.35 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 272.99/273.35 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 272.99/273.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 272.99/273.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 272.99/273.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 272.99/273.35 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 272.99/273.35 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 272.99/273.35 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 272.99/273.35 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 272.99/273.35 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 272.99/273.35 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 272.99/273.35 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 272.99/273.35 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 272.99/273.35 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 272.99/273.35 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 272.99/273.35 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 272.99/273.35 Found eq_ref000:=(eq_ref00 P):((P (((eq Prop) Xy) Xx))->(P (((eq Prop) Xy) Xx)))
% 272.99/273.35 Found (eq_ref00 P) as proof of (P0 (((eq Prop) Xy) Xx))
% 272.99/273.35 Found ((eq_ref0 (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 272.99/273.35 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 272.99/273.35 Found (((eq_ref Prop) (((eq Prop) Xy) Xx)) P) as proof of (P0 (((eq Prop) Xy) Xx))
% 272.99/273.35 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 272.99/273.35 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 272.99/273.35 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 272.99/273.35 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 272.99/273.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 272.99/273.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 274.03/274.43 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 274.03/274.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 274.03/274.43 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 274.03/274.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 274.03/274.43 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 274.03/274.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 274.03/274.43 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 274.03/274.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 274.03/274.43 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 274.03/274.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 274.03/274.43 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 274.03/274.43 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 274.03/274.43 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 275.13/275.49 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 275.13/275.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 275.13/275.49 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 275.13/275.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 275.13/275.49 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 275.13/275.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 275.13/275.49 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 275.13/275.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 275.13/275.49 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 275.13/275.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.13/275.49 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 275.13/275.49 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.13/275.49 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 275.13/275.49 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 275.89/276.32 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 275.89/276.32 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 275.89/276.32 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 275.89/276.32 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 275.89/276.32 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 275.89/276.32 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 275.89/276.32 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 275.89/276.32 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 275.89/276.32 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 275.89/276.32 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 275.89/276.32 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 275.89/276.32 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 275.89/276.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 281.88/282.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 281.88/282.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 281.88/282.29 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 281.88/282.29 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b1)
% 281.88/282.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 281.88/282.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 281.88/282.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 281.88/282.29 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 281.88/282.29 Found (eq_ref0 b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 281.88/282.29 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 281.88/282.29 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 281.88/282.29 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) (((eq Prop) Xy) Xx))
% 281.88/282.29 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 281.88/282.29 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 281.88/282.29 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 281.88/282.29 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 281.88/282.29 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 281.88/282.29 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 281.88/282.29 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 281.88/282.29 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 281.88/282.29 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 281.88/282.29 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 281.88/282.29 Found eq_ref00:=(eq_ref0 b2):(((eq Prop) b2) b2)
% 281.88/282.29 Found (eq_ref0 b2) as proof of (((eq Prop) b2) b1)
% 281.88/282.29 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 281.88/282.29 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 281.88/282.29 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 281.88/282.29 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 281.88/282.29 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 281.88/282.29 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 281.88/282.29 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 281.88/282.29 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 281.88/282.29 Found eq_ref00:=(eq_ref0 b2):(((eq Prop) b2) b2)
% 281.88/282.29 Found (eq_ref0 b2) as proof of (((eq Prop) b2) b1)
% 281.88/282.29 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 281.88/282.29 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 281.88/282.29 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 281.88/282.29 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 281.88/282.29 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 281.88/282.29 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 281.88/282.29 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 281.88/282.29 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 281.88/282.29 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 281.88/282.29 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 281.88/282.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 281.88/282.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 281.88/282.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xx) Xy))
% 281.88/282.29 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 281.88/282.29 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 281.88/282.29 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 281.88/282.29 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 281.88/282.29 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 281.88/282.29 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 281.88/282.29 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 281.88/282.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 281.88/282.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 281.88/282.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 281.88/282.29 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 284.71/285.10 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 284.71/285.10 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 284.71/285.10 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 284.71/285.10 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 284.71/285.10 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 284.71/285.10 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 284.71/285.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 284.71/285.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 284.71/285.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 284.71/285.10 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 284.71/285.10 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 284.71/285.10 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 284.71/285.10 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 284.71/285.10 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 284.71/285.10 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 284.71/285.10 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b2)
% 284.71/285.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b2)
% 284.71/285.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b2)
% 284.71/285.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b2)
% 284.71/285.10 Found eq_ref00:=(eq_ref0 b2):(((eq Prop) b2) b2)
% 284.71/285.10 Found (eq_ref0 b2) as proof of (((eq Prop) b2) b1)
% 284.71/285.10 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 284.71/285.10 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 284.71/285.10 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 284.71/285.10 Found x2:(P1 b)
% 284.71/285.10 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 284.71/285.10 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 284.71/285.10 Found x2:(P1 b)
% 284.71/285.10 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 284.71/285.10 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 284.71/285.10 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 284.71/285.10 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 284.71/285.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 284.71/285.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 284.71/285.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 284.71/285.10 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 284.71/285.10 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 284.71/285.10 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 284.71/285.10 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 284.71/285.10 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 284.71/285.10 Found x2:(P1 b)
% 284.71/285.10 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 284.71/285.10 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 284.71/285.10 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 284.71/285.10 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 284.71/285.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 284.71/285.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 284.71/285.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 284.71/285.10 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 284.71/285.10 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 284.71/285.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 284.71/285.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 284.71/285.10 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 284.71/285.10 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 284.71/285.10 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 284.71/285.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 284.71/285.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 284.71/285.10 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 284.71/285.10 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 284.71/285.10 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 284.71/285.10 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 284.71/285.10 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 291.01/291.44 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 291.01/291.44 Found x2:(P1 b)
% 291.01/291.44 Found (fun (x2:(P1 b))=> x2) as proof of (P1 b)
% 291.01/291.44 Found (fun (x2:(P1 b))=> x2) as proof of (P2 b)
% 291.01/291.44 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 291.01/291.44 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 291.01/291.44 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 291.01/291.44 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 291.01/291.44 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 291.01/291.44 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 291.01/291.44 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 291.01/291.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 291.01/291.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 291.01/291.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 291.01/291.44 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 291.01/291.44 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 291.01/291.44 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 291.01/291.44 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 291.01/291.44 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq Prop) Xy) Xx))
% 291.01/291.44 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 291.01/291.44 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 291.01/291.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 291.01/291.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 291.01/291.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 291.01/291.44 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 291.01/291.44 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 291.01/291.44 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 291.01/291.44 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 291.01/291.44 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b1)
% 291.01/291.44 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 291.01/291.44 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 291.01/291.44 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 291.01/291.44 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 291.01/291.44 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 291.01/291.44 Found eq_ref00:=(eq_ref0 b2):(((eq Prop) b2) b2)
% 291.01/291.44 Found (eq_ref0 b2) as proof of (((eq Prop) b2) b1)
% 291.01/291.44 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 291.01/291.44 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 291.01/291.44 Found ((eq_ref Prop) b2) as proof of (((eq Prop) b2) b1)
% 291.01/291.44 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 291.01/291.44 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 291.01/291.44 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 291.01/291.44 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 291.01/291.44 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b2)
% 291.01/291.44 Found x:(P (((eq Prop) Xx) Xy))
% 291.01/291.44 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 291.01/291.44 Found x as proof of (P0 b0)
% 291.01/291.44 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 291.01/291.44 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 291.01/291.44 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 291.01/291.44 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 291.01/291.44 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 291.01/291.44 Found x:(P b)
% 291.01/291.44 Instantiate: b0:=b:Prop
% 291.01/291.44 Found x as proof of (P0 b0)
% 291.01/291.44 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 291.01/291.44 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 291.01/291.44 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 291.01/291.44 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 291.01/291.44 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 291.01/291.44 Found x:(P b)
% 291.01/291.44 Instantiate: b0:=b:Prop
% 291.01/291.44 Found x as proof of (P0 b0)
% 291.01/291.44 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 299.12/299.54 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found x:(P (((eq Prop) Xx) Xy))
% 299.12/299.54 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 299.12/299.54 Found x as proof of (P0 b0)
% 299.12/299.54 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 299.12/299.54 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found x:(P (((eq Prop) Xx) Xy))
% 299.12/299.54 Instantiate: b0:=(((eq Prop) Xx) Xy):Prop
% 299.12/299.54 Found x as proof of (P0 b0)
% 299.12/299.54 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 299.12/299.54 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found x:(P b)
% 299.12/299.54 Instantiate: b0:=b:Prop
% 299.12/299.54 Found x as proof of (P0 b0)
% 299.12/299.54 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 299.12/299.54 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found ((eq_ref Prop) (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found eq_ref00:=(eq_ref0 (((eq Prop) Xx) Xy)):(((eq Prop) (((eq Prop) Xx) Xy)) (((eq Prop) Xx) Xy))
% 299.12/299.54 Found (eq_ref0 (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 299.12/299.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 299.12/299.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 299.12/299.54 Found ((eq_ref Prop) (((eq Prop) Xx) Xy)) as proof of (((eq Prop) (((eq Prop) Xx) Xy)) b0)
% 299.12/299.54 Found x:(P0 b0)
% 299.12/299.54 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 299.12/299.54 Found (fun (x:(P0 b0))=> x) as proof of (P0 b)
% 299.12/299.54 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 b))
% 299.12/299.54 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 299.12/299.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 299.12/299.54 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 299.12/299.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 299.12/299.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 299.12/299.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 299.12/299.54 Found x:(P0 b0)
% 299.12/299.54 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 299.12/299.54 Found (fun (x:(P0 b0))=> x) as proof of (P0 (((eq Prop) Xy) Xx))
% 299.12/299.54 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 (((eq Prop) Xy) Xx)))
% 299.12/299.54 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 299.12/299.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 299.12/299.54 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 299.12/299.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 299.12/299.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 299.12/299.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 299.12/299.54 Found x:(P0 b0)
% 299.12/299.54 Instantiate: b0:=(forall (P:(Prop->Prop)), ((P Xy)->(P Xx))):Prop
% 299.12/299.54 Found (fun (x:(P0 b0))=> x) as proof of (P0 (((eq Prop) Xy) Xx))
% 299.12/299.54 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of ((P0 b0)->(P0 (((eq Prop) Xy) Xx)))
% 299.12/299.54 Found (fun (P0:(Prop->Prop)) (x:(P0 b0))=> x) as proof of (P b0)
% 299.12/299.54 Found eq_ref00:=(eq_ref0 (((eq Prop) Xy) Xx)):(((eq Prop) (((eq Prop) Xy) Xx)) (((eq Prop) Xy) Xx))
% 299.12/299.54 Found (eq_ref0 (((eq Prop) Xy) Xx)) as proof of (((eq Prop) (((eq Prop) Xy) Xx)) b0)
% 299.12/299.54 Found ((eq_ref Prop)
%------------------------------------------------------------------------------