TSTP Solution File: SYO348^5 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO348^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 00:51:13 EDT 2022
% Result : Timeout 285.84s 286.20s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO348^5 : TPTP v7.5.0. Released v4.0.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % RAMPerCPU : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Mar 12 05:58:07 EST 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.34 Python 2.7.5
% 6.52/6.71 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 6.52/6.71 FOF formula (<kernel.Constant object at 0x2abd28322d40>, <kernel.Sort object at 0x2abd283005a8>) of role type named b
% 6.52/6.71 Using role type
% 6.52/6.71 Declaring b:Prop
% 6.52/6.71 FOF formula (<kernel.Constant object at 0x2abd28322d88>, <kernel.Sort object at 0x2abd283005a8>) of role type named a
% 6.52/6.71 Using role type
% 6.52/6.71 Declaring a:Prop
% 6.52/6.71 FOF formula (((iff a) b)->(forall (P:(Prop->Prop)), ((P a)->(P b)))) of role conjecture named cE1EXT
% 6.52/6.71 Conjecture to prove = (((iff a) b)->(forall (P:(Prop->Prop)), ((P a)->(P b)))):Prop
% 6.52/6.71 We need to prove ['(((iff a) b)->(forall (P:(Prop->Prop)), ((P a)->(P b))))']
% 6.52/6.71 Parameter b:Prop.
% 6.52/6.71 Parameter a:Prop.
% 6.52/6.71 Trying to prove (((iff a) b)->(forall (P:(Prop->Prop)), ((P a)->(P b))))
% 6.52/6.71 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 6.52/6.71 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 6.52/6.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 6.52/6.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 6.52/6.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 6.52/6.71 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 6.52/6.71 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 6.52/6.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 6.52/6.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 6.52/6.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 6.52/6.71 Found x00:(P a)
% 6.52/6.71 Found (fun (x00:(P a))=> x00) as proof of (P a)
% 6.52/6.71 Found (fun (x00:(P a))=> x00) as proof of (P0 a)
% 6.52/6.71 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 6.52/6.71 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 6.52/6.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 6.52/6.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 6.52/6.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 6.52/6.71 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 6.52/6.71 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 6.52/6.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 6.52/6.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 6.52/6.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 6.52/6.71 Found x20:(P a)
% 6.52/6.71 Found (fun (x20:(P a))=> x20) as proof of (P a)
% 6.52/6.71 Found (fun (x20:(P a))=> x20) as proof of (P0 a)
% 6.52/6.71 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 6.52/6.71 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 6.52/6.71 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 6.52/6.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 6.52/6.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 6.52/6.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 6.52/6.71 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 6.52/6.71 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 6.52/6.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 6.52/6.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 6.52/6.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 6.52/6.71 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 6.52/6.71 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 6.52/6.71 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 6.52/6.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 6.52/6.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 6.52/6.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 6.52/6.71 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 6.52/6.71 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found x0:(P a)
% 6.52/6.71 Instantiate: b0:=a:Prop
% 6.52/6.71 Found x0 as proof of (P0 b0)
% 6.52/6.71 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 6.52/6.71 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 6.52/6.71 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 6.52/6.71 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 6.52/6.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 12.74/12.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 12.74/12.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 12.74/12.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 12.74/12.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 12.74/12.92 Found x2:(P a)
% 12.74/12.92 Instantiate: b0:=a:Prop
% 12.74/12.92 Found x2 as proof of (P0 b0)
% 12.74/12.92 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 12.74/12.92 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 12.74/12.92 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found x0:(P0 b0)
% 12.74/12.92 Instantiate: b0:=a:Prop
% 12.74/12.92 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 a)
% 12.74/12.92 Found (fun (P0:(Prop->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 a))
% 12.74/12.92 Found (fun (P0:(Prop->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 12.74/12.92 Found x0:(P b)
% 12.74/12.92 Instantiate: b0:=b:Prop
% 12.74/12.92 Found x0 as proof of (P0 b0)
% 12.74/12.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 12.74/12.92 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 12.74/12.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 12.74/12.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 12.74/12.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 12.74/12.92 Found x00:(P a)
% 12.74/12.92 Found (fun (x00:(P a))=> x00) as proof of (P a)
% 12.74/12.92 Found (fun (x00:(P a))=> x00) as proof of (P0 a)
% 12.74/12.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 12.74/12.92 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 12.74/12.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 12.74/12.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 12.74/12.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 12.74/12.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 12.74/12.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 12.74/12.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 12.74/12.92 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 12.74/12.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 12.74/12.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 12.74/12.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 12.74/12.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 12.74/12.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 12.74/12.92 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 12.74/12.92 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 12.74/12.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 12.74/12.92 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 12.74/12.92 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 12.74/12.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 12.74/12.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 12.74/12.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 12.74/12.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 12.74/12.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 12.74/12.92 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 18.59/18.78 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found x00:(P b0)
% 18.59/18.78 Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% 18.59/18.78 Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% 18.59/18.78 Found x20:(P a)
% 18.59/18.78 Found (fun (x20:(P a))=> x20) as proof of (P a)
% 18.59/18.78 Found (fun (x20:(P a))=> x20) as proof of (P0 a)
% 18.59/18.78 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 18.59/18.78 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 18.59/18.78 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 18.59/18.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 18.59/18.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 18.59/18.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 18.59/18.78 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 18.59/18.78 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found x2:(P0 b0)
% 18.59/18.78 Instantiate: b0:=a:Prop
% 18.59/18.78 Found (fun (x2:(P0 b0))=> x2) as proof of (P0 a)
% 18.59/18.78 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 a))
% 18.59/18.78 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% 18.59/18.78 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 18.59/18.78 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 18.59/18.78 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 18.59/18.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 18.59/18.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 18.59/18.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 18.59/18.78 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 18.59/18.78 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 18.59/18.78 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 18.59/18.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 18.59/18.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 18.59/18.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 18.59/18.78 Found x2:(P b)
% 18.59/18.78 Instantiate: b0:=b:Prop
% 18.59/18.78 Found x2 as proof of (P0 b0)
% 18.59/18.78 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 18.59/18.78 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 18.59/18.78 Found x00:(P b)
% 18.59/18.78 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 18.59/18.78 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 18.59/18.78 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 18.59/18.78 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 18.59/18.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 18.59/18.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 18.59/18.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 18.59/18.78 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 18.59/18.78 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 18.59/18.78 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 18.59/18.78 Found x2:(P0 b0)
% 18.59/18.78 Instantiate: b0:=a:Prop
% 18.59/18.78 Found (fun (x2:(P0 b0))=> x2) as proof of (P0 a)
% 18.59/18.78 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 a))
% 18.59/18.78 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% 18.59/18.78 Found x2:(P b)
% 18.59/18.78 Instantiate: b0:=b:Prop
% 18.59/18.78 Found x2 as proof of (P0 b0)
% 18.59/18.78 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 22.52/22.69 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 22.52/22.69 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 22.52/22.69 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 22.52/22.69 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 22.52/22.69 Found x20:(P a)
% 22.52/22.69 Found (fun (x20:(P a))=> x20) as proof of (P a)
% 22.52/22.69 Found (fun (x20:(P a))=> x20) as proof of (P0 a)
% 22.52/22.69 Found x20:(P a)
% 22.52/22.69 Found (fun (x20:(P a))=> x20) as proof of (P a)
% 22.52/22.69 Found (fun (x20:(P a))=> x20) as proof of (P0 a)
% 22.52/22.69 Found x10:=(x1 x00):a
% 22.52/22.69 Found (x1 x00) as proof of a
% 22.52/22.69 Found (x1 x00) as proof of a
% 22.52/22.69 Found x00:=(x0 x10):b
% 22.52/22.69 Found (x0 x10) as proof of b
% 22.52/22.69 Found (x0 x10) as proof of b
% 22.52/22.69 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 22.52/22.69 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 22.52/22.69 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 22.52/22.69 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 22.52/22.69 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 22.52/22.69 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 22.52/22.69 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 22.52/22.69 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 22.52/22.69 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 22.52/22.69 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 22.52/22.69 Found x10:=(x1 x00):a
% 22.52/22.69 Found (x1 x00) as proof of a
% 22.52/22.69 Found (x1 x00) as proof of a
% 22.52/22.69 Found x00:=(x0 x10):b
% 22.52/22.69 Found (x0 x10) as proof of b
% 22.52/22.69 Found (x0 x10) as proof of b
% 22.52/22.69 Found x20:(P a)
% 22.52/22.69 Found (fun (x20:(P a))=> x20) as proof of (P a)
% 22.52/22.69 Found (fun (x20:(P a))=> x20) as proof of (P0 a)
% 22.52/22.69 Found x20:(P a)
% 22.52/22.69 Found (fun (x20:(P a))=> x20) as proof of (P a)
% 22.52/22.69 Found (fun (x20:(P a))=> x20) as proof of (P0 a)
% 22.52/22.69 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 22.52/22.69 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 22.52/22.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 22.52/22.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 22.52/22.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 22.52/22.69 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 22.52/22.69 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 22.52/22.69 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 22.52/22.69 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 22.52/22.69 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 22.52/22.69 Found x00:=(x0 x10):b
% 22.52/22.69 Found (x0 x10) as proof of b
% 22.52/22.69 Found (x0 x10) as proof of b
% 22.52/22.69 Found x10:=(x1 x00):a
% 22.52/22.69 Found (x1 x00) as proof of a
% 22.52/22.69 Found (x1 x00) as proof of a
% 22.52/22.69 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 22.52/22.69 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 22.52/22.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 22.52/22.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 22.52/22.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 22.52/22.69 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 22.52/22.69 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 22.52/22.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 22.52/22.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 22.52/22.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 22.52/22.69 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 22.52/22.69 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 22.52/22.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 22.52/22.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 22.52/22.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 22.52/22.69 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 22.52/22.69 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 22.52/22.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 22.52/22.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 22.52/22.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 22.52/22.69 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 22.52/22.69 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 22.52/22.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 22.52/22.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 22.52/22.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 22.52/22.69 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 22.52/22.69 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 22.52/22.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 22.52/22.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 22.52/22.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 22.52/22.69 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 22.52/22.69 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 22.52/22.69 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 22.52/22.69 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 22.52/22.69 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 22.52/22.69 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 29.01/29.20 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 29.01/29.20 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 29.01/29.20 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 29.01/29.20 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 29.01/29.20 Found x00:=(x0 x10):b
% 29.01/29.20 Found (x0 x10) as proof of b
% 29.01/29.20 Found (x0 x10) as proof of b
% 29.01/29.20 Found x10:=(x1 x00):a
% 29.01/29.20 Found (x1 x00) as proof of a
% 29.01/29.20 Found (x1 x00) as proof of a
% 29.01/29.20 Found x20:(P b0)
% 29.01/29.20 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 29.01/29.20 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 29.01/29.20 Found x10:=(x1 x00):a
% 29.01/29.20 Found (x1 x00) as proof of a
% 29.01/29.20 Found (x1 x00) as proof of a
% 29.01/29.20 Found x00:=(x0 x10):b
% 29.01/29.20 Found (x0 x10) as proof of b
% 29.01/29.20 Found (x0 x10) as proof of b
% 29.01/29.20 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 29.01/29.20 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 29.01/29.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 29.01/29.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 29.01/29.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 29.01/29.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 29.01/29.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 29.01/29.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 29.01/29.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 29.01/29.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 29.01/29.20 Found x00:(P b0)
% 29.01/29.20 Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% 29.01/29.20 Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% 29.01/29.20 Found x00:(P a)
% 29.01/29.20 Found (fun (x00:(P a))=> x00) as proof of (P a)
% 29.01/29.20 Found (fun (x00:(P a))=> x00) as proof of (P0 a)
% 29.01/29.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 29.01/29.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 29.01/29.20 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found x10:=(x1 x00):a
% 29.01/29.20 Found (x1 x00) as proof of a
% 29.01/29.20 Found (x1 x00) as proof of a
% 29.01/29.20 Found x00:=(x0 x10):b
% 29.01/29.20 Found (x0 x10) as proof of b
% 29.01/29.20 Found (x0 x10) as proof of b
% 29.01/29.20 Found x20:(P b0)
% 29.01/29.20 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 29.01/29.20 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 29.01/29.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 29.01/29.20 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 29.01/29.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 29.01/29.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 29.01/29.20 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found x20:(P b)
% 29.01/29.20 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 29.01/29.20 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 29.01/29.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 29.01/29.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 29.01/29.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 29.01/29.20 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 29.01/29.20 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 29.01/29.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 33.38/33.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 33.38/33.62 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 33.38/33.62 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 33.38/33.62 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 33.38/33.62 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 33.38/33.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 33.38/33.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 33.38/33.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 33.38/33.62 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 33.38/33.62 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 33.38/33.62 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 33.38/33.62 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 33.38/33.62 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 33.38/33.62 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 33.38/33.62 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 33.38/33.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 33.38/33.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 33.38/33.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 33.38/33.62 Found x20:(P b)
% 33.38/33.62 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 33.38/33.62 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 33.38/33.62 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 33.38/33.62 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 33.38/33.62 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 33.38/33.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 33.38/33.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 33.38/33.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 33.38/33.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 33.38/33.62 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 33.38/33.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 33.38/33.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 33.38/33.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 33.38/33.62 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 33.38/33.62 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 33.38/33.62 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 33.38/33.62 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 33.38/33.62 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 33.38/33.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 33.38/33.62 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 33.38/33.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 33.38/33.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 33.38/33.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 33.38/33.62 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 33.38/33.62 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 33.38/33.62 Found x00:=(x0 x10):b
% 33.38/33.62 Found (x0 x10) as proof of b
% 33.38/33.62 Found (x0 x10) as proof of b
% 33.38/33.62 Found x10:=(x1 x00):a
% 33.38/33.62 Found (x1 x00) as proof of a
% 33.38/33.62 Found (x1 x00) as proof of a
% 33.38/33.62 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 33.38/33.62 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 33.38/33.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 33.38/33.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 33.38/33.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 33.38/33.62 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 33.38/33.62 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 33.38/33.62 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 33.38/33.62 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 37.30/37.51 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 37.30/37.51 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 37.30/37.51 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 37.30/37.51 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 37.30/37.51 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 37.30/37.51 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 37.30/37.51 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 37.30/37.51 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 37.30/37.51 Found x10:=(x1 x00):a
% 37.30/37.51 Found (x1 x00) as proof of a
% 37.30/37.51 Found (x1 x00) as proof of a
% 37.30/37.51 Found x00:=(x0 x10):b
% 37.30/37.51 Found (x0 x10) as proof of b
% 37.30/37.51 Found (x0 x10) as proof of b
% 37.30/37.51 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 37.30/37.51 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 37.30/37.51 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 37.30/37.51 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 37.30/37.51 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 37.30/37.51 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 37.30/37.51 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 37.30/37.51 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 37.30/37.51 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 37.30/37.51 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 37.30/37.51 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 37.30/37.51 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 37.30/37.51 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 37.30/37.51 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 37.30/37.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 37.30/37.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 37.30/37.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 37.30/37.51 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 37.30/37.51 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 37.30/37.51 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 37.30/37.51 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 37.30/37.51 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 37.30/37.51 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 37.30/37.51 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 37.30/37.51 Found x20:(P a)
% 37.30/37.51 Found (fun (x20:(P a))=> x20) as proof of (P a)
% 37.30/37.51 Found (fun (x20:(P a))=> x20) as proof of (P0 a)
% 37.30/37.51 Found x00:=(x0 x10):b
% 37.30/37.51 Found (x0 x10) as proof of b
% 37.30/37.51 Found (x0 x10) as proof of b
% 37.30/37.51 Found x10:=(x1 x00):a
% 37.30/37.51 Found (x1 x00) as proof of a
% 37.30/37.51 Found (x1 x00) as proof of a
% 37.30/37.51 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 37.30/37.51 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 37.30/37.51 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 37.30/37.51 Found (eq_ref0 b00) as proof of (((eq Prop) b00) a)
% 37.30/37.51 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) a)
% 37.30/37.51 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) a)
% 37.30/37.51 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) a)
% 37.30/37.51 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 37.30/37.51 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 37.30/37.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 37.30/37.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 37.30/37.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 37.30/37.51 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 37.30/37.51 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 37.30/37.51 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 37.30/37.51 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 37.30/37.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 46.88/47.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 46.88/47.13 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 46.88/47.13 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 46.88/47.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 46.88/47.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 46.88/47.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 46.88/47.13 Found x10:=(x1 x00):a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found x00:=(x0 x10):b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found x10:=(x1 x00):a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found x00:=(x0 x10):b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found x20:(P b)
% 46.88/47.13 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 46.88/47.13 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 46.88/47.13 Found x10:=(x1 x00):a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found x00:=(x0 x10):b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 46.88/47.13 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 46.88/47.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 46.88/47.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 46.88/47.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 46.88/47.13 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 46.88/47.13 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 46.88/47.13 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 46.88/47.13 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 46.88/47.13 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 46.88/47.13 Found x00:=(x0 x10):b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found x10:=(x1 x00):a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found x10:=(x1 x00):a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 46.88/47.13 Found (eq_ref0 b00) as proof of (((eq Prop) b00) a)
% 46.88/47.13 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) a)
% 46.88/47.13 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) a)
% 46.88/47.13 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) a)
% 46.88/47.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 46.88/47.13 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 46.88/47.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 46.88/47.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 46.88/47.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 46.88/47.13 Found x00:=(x0 x10):b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found x10:=(x1 x00):a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found x20:=(x2 x10):a
% 46.88/47.13 Found (x2 x10) as proof of a
% 46.88/47.13 Found (x2 x10) as proof of a
% 46.88/47.13 Found x10:=(x1 x20):b
% 46.88/47.13 Found (x1 x20) as proof of b
% 46.88/47.13 Found (x1 x20) as proof of b
% 46.88/47.13 Found x00:=(x0 x10):b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found x10:=(x1 x00):a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found x10:=(x1 x00):a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found x00:=(x0 x10):b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found x20:(P b)
% 46.88/47.13 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 46.88/47.13 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 46.88/47.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 46.88/47.13 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 46.88/47.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 46.88/47.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 46.88/47.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 46.88/47.13 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 46.88/47.13 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 46.88/47.13 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 46.88/47.13 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 46.88/47.13 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 46.88/47.13 Found x00:=(x0 x10):b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found x10:=(x1 x00):a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found x10:=(x1 x00):a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found x20:=(x2 x10):a
% 46.88/47.13 Found (x2 x10) as proof of a
% 46.88/47.13 Found (x2 x10) as proof of a
% 46.88/47.13 Found x00:=(x0 x10):b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found x10:=(x1 x00):a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found (x1 x00) as proof of a
% 46.88/47.13 Found x00:=(x0 x10):b
% 46.88/47.13 Found (x0 x10) as proof of b
% 46.88/47.13 Found (x0 x10) as proof of b
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x00:=(x0 x10):b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found x00:=(x0 x10):b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x00:=(x0 x10):b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x20:(P b0)
% 52.88/53.06 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 52.88/53.06 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x00:=(x0 x10):b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x00:=(x0 x10):b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found x00:=(x0 x10):b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x00:=(x0 x10):b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x00:=(x0 x10):b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 52.88/53.06 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 52.88/53.06 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 52.88/53.06 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 52.88/53.06 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 52.88/53.06 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 52.88/53.06 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 52.88/53.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 52.88/53.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 52.88/53.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 52.88/53.06 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 52.88/53.06 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 52.88/53.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 52.88/53.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 52.88/53.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 52.88/53.06 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 52.88/53.06 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 52.88/53.06 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 52.88/53.06 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 52.88/53.06 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x00:=(x0 x10):b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found x00:=(x0 x10):b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x00:=(x0 x10):b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found x00:=(x0 x10):b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x00:=(x0 x10):b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x10:=(x1 x00):a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found (x1 x00) as proof of a
% 52.88/53.06 Found x00:=(x0 x10):b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found (x0 x10) as proof of b
% 52.88/53.06 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 52.88/53.06 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b1)
% 52.88/53.06 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 52.88/53.06 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 52.88/53.06 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 52.88/53.06 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 52.88/53.06 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 52.88/53.06 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 52.88/53.06 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 52.88/53.06 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 59.46/59.69 Found x10:=(x1 x00):a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found x10:=(x1 x00):a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found x00:=(x0 x10):b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found x10:=(x1 x00):a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found x00:=(x0 x10):b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found x00:=(x0 x10):b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found x00:=(x0 x10):b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found x10:=(x1 x00):a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found x00:=(x0 x10):b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found x10:=(x1 x00):a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found x00:=(x0 x10):b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found x10:=(x1 x00):a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found x00:=(x0 x10):b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found x10:=(x1 x00):a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 59.46/59.69 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 59.46/59.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 59.46/59.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 59.46/59.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 59.46/59.69 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 59.46/59.69 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 59.46/59.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 59.46/59.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 59.46/59.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 59.46/59.69 Found x20:=(x2 x10):a
% 59.46/59.69 Found (x2 x10) as proof of a
% 59.46/59.69 Found (x2 x10) as proof of a
% 59.46/59.69 Found x10:=(x1 x20):b
% 59.46/59.69 Found (x1 x20) as proof of b
% 59.46/59.69 Found (x1 x20) as proof of b
% 59.46/59.69 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 59.46/59.69 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 59.46/59.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 59.46/59.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 59.46/59.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 59.46/59.69 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 59.46/59.69 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 59.46/59.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 59.46/59.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 59.46/59.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 59.46/59.69 Found x00:=(x0 x10):b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found x10:=(x1 x00):a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found x10:=(x1 x00):a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found x00:=(x0 x10):b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found x10:=(x1 x00):a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found x10:=(x1 x00):a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found x10:=(x1 x00):a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found x00:=(x0 x10):b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 59.46/59.69 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b1)
% 59.46/59.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 59.46/59.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 59.46/59.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 59.46/59.69 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 59.46/59.69 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 59.46/59.69 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 59.46/59.69 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 59.46/59.69 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 59.46/59.69 Found x00:=(x0 x10):b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found x10:=(x1 x00):a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found x10:=(x1 x00):a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found (x1 x00) as proof of a
% 59.46/59.69 Found x00:=(x0 x10):b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found x20:=(x2 x10):a
% 59.46/59.69 Found (x2 x10) as proof of a
% 59.46/59.69 Found (x2 x10) as proof of a
% 59.46/59.69 Found x00:=(x0 x10):b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found x00:=(x0 x10):b
% 59.46/59.69 Found (x0 x10) as proof of b
% 59.46/59.69 Found (x0 x10) as proof of b
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x00:=(x0 x10):b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x00:=(x0 x10):b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x00:=(x0 x10):b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found x20:=(x2 x10):a
% 75.60/75.82 Found (x2 x10) as proof of a
% 75.60/75.82 Found (x2 x10) as proof of a
% 75.60/75.82 Found x20:=(x2 x10):a
% 75.60/75.82 Found (x2 x10) as proof of a
% 75.60/75.82 Found (x2 x10) as proof of a
% 75.60/75.82 Found x10:=(x1 x20):b
% 75.60/75.82 Found (x1 x20) as proof of b
% 75.60/75.82 Found (x1 x20) as proof of b
% 75.60/75.82 Found x10:=(x1 x20):b
% 75.60/75.82 Found (x1 x20) as proof of b
% 75.60/75.82 Found (x1 x20) as proof of b
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x00:=(x0 x10):b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found x00:=(x0 x10):b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found x20:=(x2 x10):a
% 75.60/75.82 Found (x2 x10) as proof of a
% 75.60/75.82 Found (x2 x10) as proof of a
% 75.60/75.82 Found x20:=(x2 x10):a
% 75.60/75.82 Found (x2 x10) as proof of a
% 75.60/75.82 Found (x2 x10) as proof of a
% 75.60/75.82 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 75.60/75.82 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 75.60/75.82 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 75.60/75.82 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 75.60/75.82 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 75.60/75.82 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 75.60/75.82 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 75.60/75.82 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 75.60/75.82 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 75.60/75.82 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 75.60/75.82 Found x00:=(x0 x10):b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x00:=(x0 x10):b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found x00:=(x0 x10):b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x00:=(x0 x10):b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 75.60/75.82 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 75.60/75.82 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 75.60/75.82 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 75.60/75.82 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 75.60/75.82 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 75.60/75.82 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 75.60/75.82 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 75.60/75.82 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 75.60/75.82 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x00:=(x0 x10):b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x00:=(x0 x10):b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found x00:=(x0 x10):b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x10:=(x1 x00):a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found (x1 x00) as proof of a
% 75.60/75.82 Found x00:=(x0 x10):b
% 75.60/75.82 Found (x0 x10) as proof of b
% 75.60/75.82 Found (x0 x10) as proof of b
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x0:(P a)
% 90.75/90.99 Instantiate: b0:=a:Prop
% 90.75/90.99 Found x0 as proof of (P0 b0)
% 90.75/90.99 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 90.75/90.99 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 90.75/90.99 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 90.75/90.99 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 90.75/90.99 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x2:(P b)
% 90.75/90.99 Instantiate: b0:=b:Prop
% 90.75/90.99 Found x2 as proof of (P0 b0)
% 90.75/90.99 Found x2:(P b)
% 90.75/90.99 Instantiate: b0:=b:Prop
% 90.75/90.99 Found x2 as proof of (P0 b0)
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 90.75/90.99 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 90.75/90.99 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 90.75/90.99 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 90.75/90.99 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 90.75/90.99 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 90.75/90.99 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 90.75/90.99 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 90.75/90.99 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 90.75/90.99 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found x10:=(x1 x00):a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found (x1 x00) as proof of a
% 90.75/90.99 Found x00:=(x0 x10):b
% 90.75/90.99 Found (x0 x10) as proof of b
% 90.75/90.99 Found (x0 x10) as proof of b
% 99.97/100.20 Found x10:=(x1 x00):a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found x2:(P b)
% 99.97/100.20 Instantiate: b0:=b:Prop
% 99.97/100.20 Found x2 as proof of (P0 b0)
% 99.97/100.20 Found x2:(P b)
% 99.97/100.20 Instantiate: b0:=b:Prop
% 99.97/100.20 Found x2 as proof of (P0 b0)
% 99.97/100.20 Found x10:=(x1 x00):a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found x00:=(x0 x10):b
% 99.97/100.20 Found (x0 x10) as proof of b
% 99.97/100.20 Found (x0 x10) as proof of b
% 99.97/100.20 Found x10:=(x1 x00):a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found x00:=(x0 x10):b
% 99.97/100.20 Found (x0 x10) as proof of b
% 99.97/100.20 Found (x0 x10) as proof of b
% 99.97/100.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 99.97/100.20 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 99.97/100.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 99.97/100.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 99.97/100.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 99.97/100.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 99.97/100.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 99.97/100.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 99.97/100.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 99.97/100.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 99.97/100.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 99.97/100.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 99.97/100.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 99.97/100.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 99.97/100.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 99.97/100.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 99.97/100.20 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 99.97/100.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 99.97/100.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 99.97/100.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 99.97/100.20 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 99.97/100.20 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 99.97/100.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 99.97/100.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 99.97/100.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 99.97/100.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 99.97/100.20 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 99.97/100.20 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 99.97/100.20 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found x2:(P b)
% 99.97/100.20 Instantiate: b0:=b:Prop
% 99.97/100.20 Found x2 as proof of (P0 b0)
% 99.97/100.20 Found x2:(P b)
% 99.97/100.20 Instantiate: b0:=b:Prop
% 99.97/100.20 Found x2 as proof of (P0 b0)
% 99.97/100.20 Found x10:=(x1 x00):a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found x00:=(x0 x10):b
% 99.97/100.20 Found (x0 x10) as proof of b
% 99.97/100.20 Found (x0 x10) as proof of b
% 99.97/100.20 Found x00:=(x0 x10):b
% 99.97/100.20 Found (x0 x10) as proof of b
% 99.97/100.20 Found (x0 x10) as proof of b
% 99.97/100.20 Found x10:=(x1 x00):a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found x10:=(x1 x00):a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found x00:=(x0 x10):b
% 99.97/100.20 Found (x0 x10) as proof of b
% 99.97/100.20 Found (x0 x10) as proof of b
% 99.97/100.20 Found x10:=(x1 x00):a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found x00:=(x0 x10):b
% 99.97/100.20 Found (x0 x10) as proof of b
% 99.97/100.20 Found (x0 x10) as proof of b
% 99.97/100.20 Found x00:=(x0 x10):b
% 99.97/100.20 Found (x0 x10) as proof of b
% 99.97/100.20 Found (x0 x10) as proof of b
% 99.97/100.20 Found x10:=(x1 x00):a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found (x1 x00) as proof of a
% 99.97/100.20 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 99.97/100.20 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 99.97/100.20 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 99.97/100.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found x2:(P b)
% 107.54/107.77 Instantiate: b0:=b:Prop
% 107.54/107.77 Found x2 as proof of (P0 b0)
% 107.54/107.77 Found x2:(P b)
% 107.54/107.77 Instantiate: b0:=b:Prop
% 107.54/107.77 Found x2 as proof of (P0 b0)
% 107.54/107.77 Found x10:=(x1 x00):a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found x00:=(x0 x10):b
% 107.54/107.77 Found (x0 x10) as proof of b
% 107.54/107.77 Found (x0 x10) as proof of b
% 107.54/107.77 Found x10:=(x1 x20):b
% 107.54/107.77 Found (x1 x20) as proof of b
% 107.54/107.77 Found (x1 x20) as proof of b
% 107.54/107.77 Found x20:=(x2 x10):a
% 107.54/107.77 Found (x2 x10) as proof of a
% 107.54/107.77 Found (x2 x10) as proof of a
% 107.54/107.77 Found x20:=(x2 x10):a
% 107.54/107.77 Found (x2 x10) as proof of a
% 107.54/107.77 Found (x2 x10) as proof of a
% 107.54/107.77 Found x10:=(x1 x20):b
% 107.54/107.77 Found (x1 x20) as proof of b
% 107.54/107.77 Found (x1 x20) as proof of b
% 107.54/107.77 Found x00:=(x0 x10):b
% 107.54/107.77 Found (x0 x10) as proof of b
% 107.54/107.77 Found (x0 x10) as proof of b
% 107.54/107.77 Found x10:=(x1 x00):a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 107.54/107.77 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 107.54/107.77 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found x10:=(x1 x00):a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found x10:=(x1 x00):a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found x00:=(x0 x11):b
% 107.54/107.77 Found (x0 x11) as proof of b
% 107.54/107.77 Found (x0 x11) as proof of b
% 107.54/107.77 Found x10:=(x1 x01):a
% 107.54/107.77 Found (x1 x01) as proof of a
% 107.54/107.77 Found (x1 x01) as proof of a
% 107.54/107.77 Found x2:(P b)
% 107.54/107.77 Instantiate: b0:=b:Prop
% 107.54/107.77 Found x2 as proof of (P0 b0)
% 107.54/107.77 Found x2:(P b)
% 107.54/107.77 Instantiate: b0:=b:Prop
% 107.54/107.77 Found x2 as proof of (P0 b0)
% 107.54/107.77 Found x00:=(x0 x10):b
% 107.54/107.77 Found (x0 x10) as proof of b
% 107.54/107.77 Found (x0 x10) as proof of b
% 107.54/107.77 Found x10:=(x1 x00):a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found x00:=(x0 x10):b
% 107.54/107.77 Found (x0 x10) as proof of b
% 107.54/107.77 Found (x0 x10) as proof of b
% 107.54/107.77 Found x10:=(x1 x00):a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 107.54/107.77 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 107.54/107.77 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 107.54/107.77 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 107.54/107.77 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 107.54/107.77 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 107.54/107.77 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 107.54/107.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 107.54/107.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 107.54/107.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 107.54/107.77 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 107.54/107.77 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 107.54/107.77 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 107.54/107.77 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 107.54/107.77 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 107.54/107.77 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 107.54/107.77 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 107.54/107.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 107.54/107.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 107.54/107.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 107.54/107.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 107.54/107.77 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 107.54/107.77 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 107.54/107.77 Found x10:=(x1 x00):a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found x00:=(x0 x10):b
% 107.54/107.77 Found (x0 x10) as proof of b
% 107.54/107.77 Found (x0 x10) as proof of b
% 107.54/107.77 Found x10:=(x1 x00):a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found (x1 x00) as proof of a
% 107.54/107.77 Found x00:=(x0 x10):b
% 107.54/107.77 Found (x0 x10) as proof of b
% 107.54/107.77 Found (x0 x10) as proof of b
% 107.54/107.77 Found x20:=(x2 x10):a
% 107.54/107.77 Found (x2 x10) as proof of a
% 107.54/107.77 Found (x2 x10) as proof of a
% 107.54/107.77 Found x20:=(x2 x10):a
% 107.54/107.77 Found (x2 x10) as proof of a
% 117.77/118.00 Found (x2 x10) as proof of a
% 117.77/118.00 Found x00:=(x0 x10):b
% 117.77/118.00 Found (x0 x10) as proof of b
% 117.77/118.00 Found (x0 x10) as proof of b
% 117.77/118.00 Found x10:=(x1 x00):a
% 117.77/118.00 Found (x1 x00) as proof of a
% 117.77/118.00 Found (x1 x00) as proof of a
% 117.77/118.00 Found x00:=(x0 x11):b
% 117.77/118.00 Found (x0 x11) as proof of b
% 117.77/118.00 Found (x0 x11) as proof of b
% 117.77/118.00 Found x10:=(x1 x01):a
% 117.77/118.00 Found (x1 x01) as proof of a
% 117.77/118.00 Found (x1 x01) as proof of a
% 117.77/118.00 Found x2:(P a)
% 117.77/118.00 Instantiate: b0:=a:Prop
% 117.77/118.00 Found x2 as proof of (P0 b0)
% 117.77/118.00 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 117.77/118.00 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 117.77/118.00 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 117.77/118.00 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 117.77/118.00 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 117.77/118.00 Found x2:(P b)
% 117.77/118.00 Instantiate: b0:=b:Prop
% 117.77/118.00 Found x2 as proof of (P0 b0)
% 117.77/118.00 Found x2:(P b)
% 117.77/118.00 Instantiate: b0:=b:Prop
% 117.77/118.00 Found x2 as proof of (P0 b0)
% 117.77/118.00 Found x00:=(x0 x10):b
% 117.77/118.00 Found (x0 x10) as proof of b
% 117.77/118.00 Found (x0 x10) as proof of b
% 117.77/118.00 Found x10:=(x1 x00):a
% 117.77/118.00 Found (x1 x00) as proof of a
% 117.77/118.00 Found (x1 x00) as proof of a
% 117.77/118.00 Found x10:=(x1 x00):a
% 117.77/118.00 Found (x1 x00) as proof of a
% 117.77/118.00 Found (x1 x00) as proof of a
% 117.77/118.00 Found x00:=(x0 x10):b
% 117.77/118.00 Found (x0 x10) as proof of b
% 117.77/118.00 Found (x0 x10) as proof of b
% 117.77/118.00 Found x10:=(x1 x00):a
% 117.77/118.00 Found (x1 x00) as proof of a
% 117.77/118.00 Found (x1 x00) as proof of a
% 117.77/118.00 Found x10:=(x1 x00):a
% 117.77/118.00 Found (x1 x00) as proof of a
% 117.77/118.00 Found (x1 x00) as proof of a
% 117.77/118.00 Found x00:=(x0 x10):b
% 117.77/118.00 Found (x0 x10) as proof of b
% 117.77/118.00 Found (x0 x10) as proof of b
% 117.77/118.00 Found x00:=(x0 x10):b
% 117.77/118.00 Found (x0 x10) as proof of b
% 117.77/118.00 Found (x0 x10) as proof of b
% 117.77/118.00 Found x10:=(x1 x00):a
% 117.77/118.00 Found (x1 x00) as proof of a
% 117.77/118.00 Found (x1 x00) as proof of a
% 117.77/118.00 Found x00:=(x0 x10):b
% 117.77/118.00 Found (x0 x10) as proof of b
% 117.77/118.00 Found (x0 x10) as proof of b
% 117.77/118.00 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 117.77/118.00 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 117.77/118.00 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 117.77/118.00 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 117.77/118.00 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 117.77/118.00 Found x0:(P0 b0)
% 117.77/118.00 Instantiate: b0:=a:Prop
% 117.77/118.00 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 a)
% 117.77/118.00 Found (fun (P0:(Prop->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 a))
% 117.77/118.00 Found (fun (P0:(Prop->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 117.77/118.00 Found x00:=(x0 x11):b
% 117.77/118.00 Found (x0 x11) as proof of b
% 117.77/118.00 Found (x0 x11) as proof of b
% 117.77/118.00 Found x10:=(x1 x01):a
% 117.77/118.00 Found (x1 x01) as proof of a
% 117.77/118.00 Found (x1 x01) as proof of a
% 117.77/118.00 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 117.77/118.00 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 117.77/118.00 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found x00:(P a)
% 117.77/118.00 Found (fun (x00:(P a))=> x00) as proof of (P a)
% 117.77/118.00 Found (fun (x00:(P a))=> x00) as proof of (P0 a)
% 117.77/118.00 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 117.77/118.00 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 117.77/118.00 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 117.77/118.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 117.77/118.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 117.77/118.00 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 117.77/118.00 Found x0:(P b)
% 117.77/118.00 Instantiate: b0:=b:Prop
% 117.77/118.00 Found x0 as proof of (P0 b0)
% 117.77/118.00 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 117.77/118.00 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found x0:(P b)
% 117.77/118.00 Instantiate: b0:=b:Prop
% 117.77/118.00 Found x0 as proof of (P0 b0)
% 117.77/118.00 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 117.77/118.00 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 117.77/118.00 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 123.57/123.83 Found x00:=(x0 x11):b
% 123.57/123.83 Found (x0 x11) as proof of b
% 123.57/123.83 Found (x0 x11) as proof of b
% 123.57/123.83 Found x10:=(x1 x01):a
% 123.57/123.83 Found (x1 x01) as proof of a
% 123.57/123.83 Found (x1 x01) as proof of a
% 123.57/123.83 Found x10:=(x1 x01):a
% 123.57/123.83 Found (x1 x01) as proof of a
% 123.57/123.83 Found (x1 x01) as proof of a
% 123.57/123.83 Found x00:=(x0 x11):b
% 123.57/123.83 Found (x0 x11) as proof of b
% 123.57/123.83 Found (x0 x11) as proof of b
% 123.57/123.83 Found x0:(P a)
% 123.57/123.83 Instantiate: a0:=a:Prop
% 123.57/123.83 Found x0 as proof of (P0 a0)
% 123.57/123.83 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 123.57/123.83 Found (eq_ref0 a0) as proof of (((eq Prop) a0) b0)
% 123.57/123.83 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 123.57/123.83 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 123.57/123.83 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 123.57/123.83 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 123.57/123.83 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 123.57/123.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 123.57/123.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 123.57/123.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 123.57/123.83 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 123.57/123.83 Found (eq_ref0 a0) as proof of (((eq Prop) a0) b0)
% 123.57/123.83 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 123.57/123.83 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 123.57/123.83 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 123.57/123.83 Found x10:=(x1 x01):a
% 123.57/123.83 Found (x1 x01) as proof of a
% 123.57/123.83 Found (x1 x01) as proof of a
% 123.57/123.83 Found x00:=(x0 x11):b
% 123.57/123.83 Found (x0 x11) as proof of b
% 123.57/123.83 Found (x0 x11) as proof of b
% 123.57/123.83 Found x10:=(x1 x00):a
% 123.57/123.83 Found (x1 x00) as proof of a
% 123.57/123.83 Found (x1 x00) as proof of a
% 123.57/123.83 Found x10:=(x1 x00):a
% 123.57/123.83 Found (x1 x00) as proof of a
% 123.57/123.83 Found (x1 x00) as proof of a
% 123.57/123.83 Found x00:=(x0 x11):b
% 123.57/123.83 Found (x0 x11) as proof of b
% 123.57/123.83 Found (x0 x11) as proof of b
% 123.57/123.83 Found x00:=(x0 x10):b
% 123.57/123.83 Found (x0 x10) as proof of b
% 123.57/123.83 Found (x0 x10) as proof of b
% 123.57/123.83 Found x10:=(x1 x01):a
% 123.57/123.83 Found (x1 x01) as proof of a
% 123.57/123.83 Found (x1 x01) as proof of a
% 123.57/123.83 Found x10:=(x1 x00):a
% 123.57/123.83 Found (x1 x00) as proof of a
% 123.57/123.83 Found (x1 x00) as proof of a
% 123.57/123.83 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 123.57/123.83 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 123.57/123.83 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 123.57/123.83 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 123.57/123.83 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 123.57/123.83 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 123.57/123.83 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 123.57/123.83 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 123.57/123.83 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 123.57/123.83 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 123.57/123.83 Found x00:=(x0 x11):b
% 123.57/123.83 Found (x0 x11) as proof of b
% 123.57/123.83 Found (x0 x11) as proof of b
% 123.57/123.83 Found x10:=(x1 x01):a
% 123.57/123.83 Found (x1 x01) as proof of a
% 123.57/123.83 Found (x1 x01) as proof of a
% 140.01/140.32 Found x00:=(x0 x11):b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found x10:=(x1 x01):a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found x10:=(x1 x00):a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found x00:=(x0 x10):b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found x10:=(x1 x00):a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found x00:=(x0 x10):b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found x00:=(x0 x10):b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found x10:=(x1 x00):a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found x00:=(x0 x10):b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found x10:=(x1 x00):a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found x00:=(x0 x10):b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found x10:=(x1 x00):a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found x00:=(x0 x11):b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found x10:=(x1 x01):a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found x10:=(x1 x00):a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found x00:=(x0 x10):b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 140.01/140.32 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 140.01/140.32 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 140.01/140.32 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 140.01/140.32 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 140.01/140.32 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 140.01/140.32 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 140.01/140.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 140.01/140.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 140.01/140.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 140.01/140.32 Found x10:=(x1 x21):b
% 140.01/140.32 Found (x1 x21) as proof of b
% 140.01/140.32 Found (x1 x21) as proof of b
% 140.01/140.32 Found x20:=(x2 x11):a
% 140.01/140.32 Found (x2 x11) as proof of a
% 140.01/140.32 Found (x2 x11) as proof of a
% 140.01/140.32 Found x10:=(x1 x01):a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found x00:=(x0 x11):b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found x10:=(x1 x01):a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found x10:=(x1 x01):a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found x00:=(x0 x11):b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found x00:=(x0 x11):b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found x10:=(x1 x01):a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found x00:=(x0 x10):b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found x00:=(x0 x11):b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found x10:=(x1 x00):a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found x20:(P b0)
% 140.01/140.32 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 140.01/140.32 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 140.01/140.32 Found x10:=(x1 x01):a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found x20:(P b0)
% 140.01/140.32 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 140.01/140.32 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 140.01/140.32 Found x00:=(x0 x11):b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found x10:=(x1 x00):a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found (x1 x00) as proof of a
% 140.01/140.32 Found x00:=(x0 x10):b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found (x0 x10) as proof of b
% 140.01/140.32 Found x00:=(x0 x11):b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found x10:=(x1 x01):a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found x10:=(x1 x01):a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found (x1 x01) as proof of a
% 140.01/140.32 Found x00:=(x0 x11):b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found (x0 x11) as proof of b
% 140.01/140.32 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 140.01/140.32 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 140.01/140.32 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 140.01/140.32 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 140.01/140.32 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 140.01/140.32 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 140.01/140.32 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 140.01/140.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 140.01/140.32 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 146.81/147.11 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 146.81/147.11 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 146.81/147.11 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 146.81/147.11 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 146.81/147.11 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 146.81/147.11 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 146.81/147.11 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 146.81/147.11 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found x10:=(x1 x00):a
% 146.81/147.11 Found (x1 x00) as proof of a
% 146.81/147.11 Found (x1 x00) as proof of a
% 146.81/147.11 Found x00:=(x0 x10):b
% 146.81/147.11 Found (x0 x10) as proof of b
% 146.81/147.11 Found (x0 x10) as proof of b
% 146.81/147.11 Found x00:=(x0 x10):b
% 146.81/147.11 Found (x0 x10) as proof of b
% 146.81/147.11 Found (x0 x10) as proof of b
% 146.81/147.11 Found x10:=(x1 x00):a
% 146.81/147.11 Found (x1 x00) as proof of a
% 146.81/147.11 Found (x1 x00) as proof of a
% 146.81/147.11 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 146.81/147.11 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found x10:=(x1 x00):a
% 146.81/147.11 Found (x1 x00) as proof of a
% 146.81/147.11 Found (x1 x00) as proof of a
% 146.81/147.11 Found x00:=(x0 x10):b
% 146.81/147.11 Found (x0 x10) as proof of b
% 146.81/147.11 Found (x0 x10) as proof of b
% 146.81/147.11 Found x10:=(x1 x00):a
% 146.81/147.11 Found (x1 x00) as proof of a
% 146.81/147.11 Found (x1 x00) as proof of a
% 146.81/147.11 Found x00:=(x0 x10):b
% 146.81/147.11 Found (x0 x10) as proof of b
% 146.81/147.11 Found (x0 x10) as proof of b
% 146.81/147.11 Found x00:=(x0 x10):b
% 146.81/147.11 Found (x0 x10) as proof of b
% 146.81/147.11 Found (x0 x10) as proof of b
% 146.81/147.11 Found x10:=(x1 x00):a
% 146.81/147.11 Found (x1 x00) as proof of a
% 146.81/147.11 Found (x1 x00) as proof of a
% 146.81/147.11 Found x10:=(x1 x01):a
% 146.81/147.11 Found (x1 x01) as proof of a
% 146.81/147.11 Found (x1 x01) as proof of a
% 146.81/147.11 Found x00:=(x0 x11):b
% 146.81/147.11 Found (x0 x11) as proof of b
% 146.81/147.11 Found (x0 x11) as proof of b
% 146.81/147.11 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 146.81/147.11 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 146.81/147.11 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 146.81/147.11 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 146.81/147.11 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 146.81/147.11 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 146.81/147.11 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 146.81/147.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 146.81/147.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 146.81/147.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 146.81/147.11 Found x20:(P b0)
% 146.81/147.11 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 146.81/147.11 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 146.81/147.11 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 146.81/147.11 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found x2:(P0 b0)
% 146.81/147.11 Instantiate: b0:=a:Prop
% 146.81/147.11 Found (fun (x2:(P0 b0))=> x2) as proof of (P0 a)
% 146.81/147.11 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 a))
% 146.81/147.11 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% 146.81/147.11 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 146.81/147.11 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 146.81/147.11 Found x2:(P0 b0)
% 146.81/147.11 Instantiate: b0:=a:Prop
% 146.81/147.11 Found (fun (x2:(P0 b0))=> x2) as proof of (P0 a)
% 146.81/147.11 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 a))
% 146.81/147.11 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% 146.81/147.11 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 146.81/147.11 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 146.81/147.11 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 146.81/147.11 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 146.81/147.11 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 146.81/147.11 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 146.81/147.11 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 146.81/147.11 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 146.81/147.11 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 146.81/147.11 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 146.81/147.11 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 146.81/147.11 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 150.78/151.13 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 150.78/151.13 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 150.78/151.13 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 150.78/151.13 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 150.78/151.13 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 150.78/151.13 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 150.78/151.13 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 150.78/151.13 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 150.78/151.13 Found x20:(P b0)
% 150.78/151.13 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 150.78/151.13 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 150.78/151.13 Found x00:=(x0 x10):b
% 150.78/151.13 Found (x0 x10) as proof of b
% 150.78/151.13 Found (x0 x10) as proof of b
% 150.78/151.13 Found x10:=(x1 x00):a
% 150.78/151.13 Found (x1 x00) as proof of a
% 150.78/151.13 Found (x1 x00) as proof of a
% 150.78/151.13 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 150.78/151.13 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 150.78/151.13 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 150.78/151.13 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 150.78/151.13 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 150.78/151.13 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 150.78/151.13 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 150.78/151.13 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 150.78/151.13 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 150.78/151.13 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 150.78/151.13 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 150.78/151.13 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 150.78/151.13 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 150.78/151.13 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 150.78/151.13 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 150.78/151.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 154.10/154.35 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 154.10/154.35 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 154.10/154.35 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 154.10/154.35 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 154.10/154.35 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 154.10/154.35 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 154.10/154.35 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found x10:=(x1 x00):a
% 154.10/154.35 Found (x1 x00) as proof of a
% 154.10/154.35 Found (x1 x00) as proof of a
% 154.10/154.35 Found x00:=(x0 x10):b
% 154.10/154.35 Found (x0 x10) as proof of b
% 154.10/154.35 Found (x0 x10) as proof of b
% 154.10/154.35 Found x10:=(x1 x01):a
% 154.10/154.35 Found (x1 x01) as proof of a
% 154.10/154.35 Found (x1 x01) as proof of a
% 154.10/154.35 Found x00:=(x0 x11):b
% 154.10/154.35 Found (x0 x11) as proof of b
% 154.10/154.35 Found (x0 x11) as proof of b
% 154.10/154.35 Found x10:=(x1 x01):a
% 154.10/154.35 Found (x1 x01) as proof of a
% 154.10/154.35 Found (x1 x01) as proof of a
% 154.10/154.35 Found x00:=(x0 x11):b
% 154.10/154.35 Found (x0 x11) as proof of b
% 154.10/154.35 Found (x0 x11) as proof of b
% 154.10/154.35 Found x10:=(x1 x01):a
% 154.10/154.35 Found (x1 x01) as proof of a
% 154.10/154.35 Found (x1 x01) as proof of a
% 154.10/154.35 Found x00:=(x0 x11):b
% 154.10/154.35 Found (x0 x11) as proof of b
% 154.10/154.35 Found (x0 x11) as proof of b
% 154.10/154.35 Found x00:=(x0 x10):b
% 154.10/154.35 Found (x0 x10) as proof of b
% 154.10/154.35 Found (x0 x10) as proof of b
% 154.10/154.35 Found x10:=(x1 x00):a
% 154.10/154.35 Found (x1 x00) as proof of a
% 154.10/154.35 Found (x1 x00) as proof of a
% 154.10/154.35 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 154.10/154.35 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 154.10/154.35 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 154.10/154.35 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 154.10/154.35 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 154.10/154.35 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 154.10/154.35 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 154.10/154.35 Found x00:=(x0 x11):b
% 154.10/154.35 Found (x0 x11) as proof of b
% 154.10/154.35 Found (x0 x11) as proof of b
% 161.63/161.90 Found x10:=(x1 x01):a
% 161.63/161.90 Found (x1 x01) as proof of a
% 161.63/161.90 Found (x1 x01) as proof of a
% 161.63/161.90 Found x00:(P b0)
% 161.63/161.90 Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% 161.63/161.90 Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% 161.63/161.90 Found x00:=(x0 x10):b
% 161.63/161.90 Found (x0 x10) as proof of b
% 161.63/161.90 Found (x0 x10) as proof of b
% 161.63/161.90 Found x10:=(x1 x00):a
% 161.63/161.90 Found (x1 x00) as proof of a
% 161.63/161.90 Found (x1 x00) as proof of a
% 161.63/161.90 Found x00:(P b0)
% 161.63/161.90 Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% 161.63/161.90 Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% 161.63/161.90 Found x00:=(x0 x10):b
% 161.63/161.90 Found (x0 x10) as proof of b
% 161.63/161.90 Found (x0 x10) as proof of b
% 161.63/161.90 Found x10:=(x1 x00):a
% 161.63/161.90 Found (x1 x00) as proof of a
% 161.63/161.90 Found (x1 x00) as proof of a
% 161.63/161.90 Found x20:(P b0)
% 161.63/161.90 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 161.63/161.90 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 161.63/161.90 Found x20:(P b0)
% 161.63/161.90 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 161.63/161.90 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 161.63/161.90 Found x10:=(x1 x01):a
% 161.63/161.90 Found (x1 x01) as proof of a
% 161.63/161.90 Found (x1 x01) as proof of a
% 161.63/161.90 Found x00:=(x0 x11):b
% 161.63/161.90 Found (x0 x11) as proof of b
% 161.63/161.90 Found (x0 x11) as proof of b
% 161.63/161.90 Found x10:=(x1 x01):a
% 161.63/161.90 Found (x1 x01) as proof of a
% 161.63/161.90 Found (x1 x01) as proof of a
% 161.63/161.90 Found x00:=(x0 x11):b
% 161.63/161.90 Found (x0 x11) as proof of b
% 161.63/161.90 Found (x0 x11) as proof of b
% 161.63/161.90 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 161.63/161.90 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found x0:(P2 b0)
% 161.63/161.90 Instantiate: b0:=a:Prop
% 161.63/161.90 Found (fun (x0:(P2 b0))=> x0) as proof of (P2 a)
% 161.63/161.90 Found (fun (P2:(Prop->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 a))
% 161.63/161.90 Found (fun (P2:(Prop->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 161.63/161.90 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 161.63/161.90 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found x0:(P2 b0)
% 161.63/161.90 Instantiate: b0:=a:Prop
% 161.63/161.90 Found (fun (x0:(P2 b0))=> x0) as proof of (P2 a)
% 161.63/161.90 Found (fun (P2:(Prop->Prop)) (x0:(P2 b0))=> x0) as proof of ((P2 b0)->(P2 a))
% 161.63/161.90 Found (fun (P2:(Prop->Prop)) (x0:(P2 b0))=> x0) as proof of (P1 b0)
% 161.63/161.90 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 161.63/161.90 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 161.63/161.90 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 161.63/161.90 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 161.63/161.90 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 161.63/161.90 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 161.63/161.90 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 161.63/161.90 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 161.63/161.90 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 161.63/161.90 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 161.63/161.90 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found x2:(P a)
% 165.51/165.77 Instantiate: a0:=a:Prop
% 165.51/165.77 Found x2 as proof of (P0 a0)
% 165.51/165.77 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 165.51/165.77 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 165.51/165.77 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 165.51/165.77 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 165.51/165.77 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 165.51/165.77 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 165.51/165.77 Found (eq_ref0 a0) as proof of (((eq Prop) a0) b0)
% 165.51/165.77 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 165.51/165.77 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 165.51/165.77 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 165.51/165.77 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 165.51/165.77 Found (eq_ref0 a0) as proof of (((eq Prop) a0) b0)
% 165.51/165.77 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 165.51/165.77 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 165.51/165.77 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 165.51/165.77 Found x20:(P a)
% 165.51/165.77 Found (fun (x20:(P a))=> x20) as proof of (P a)
% 165.51/165.77 Found (fun (x20:(P a))=> x20) as proof of (P0 a)
% 165.51/165.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 165.51/165.77 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 165.51/165.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 165.51/165.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 165.51/165.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 165.51/165.77 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 165.51/165.77 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 165.51/165.77 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 165.51/165.77 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 165.51/165.77 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 165.51/165.77 Found x00:=(x0 x10):b
% 165.51/165.77 Found (x0 x10) as proof of b
% 165.51/165.77 Found (x0 x10) as proof of b
% 165.51/165.77 Found x10:=(x1 x00):a
% 165.51/165.77 Found (x1 x00) as proof of a
% 165.51/165.77 Found (x1 x00) as proof of a
% 165.51/165.77 Found x0:(P1 b)
% 165.51/165.77 Instantiate: b0:=b:Prop
% 165.51/165.77 Found x0 as proof of (P2 b0)
% 165.51/165.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 165.51/165.77 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 165.51/165.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 165.51/165.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 165.51/165.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 165.51/165.77 Found x0:(P1 b)
% 165.51/165.77 Instantiate: b0:=b:Prop
% 165.51/165.77 Found x0 as proof of (P2 b0)
% 165.51/165.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 165.51/165.77 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 165.51/165.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 165.51/165.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 165.51/165.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 165.51/165.77 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 165.51/165.77 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 165.51/165.77 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 165.51/165.77 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 165.51/165.77 Found x2:(P0 b0)
% 165.51/165.77 Instantiate: b0:=a:Prop
% 165.51/165.77 Found (fun (x2:(P0 b0))=> x2) as proof of (P0 a)
% 165.51/165.77 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 a))
% 165.51/165.77 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% 165.51/165.77 Found x10:=(x1 x00):a
% 165.51/165.77 Found (x1 x00) as proof of a
% 165.51/165.77 Found (x1 x00) as proof of a
% 165.51/165.77 Found x00:=(x0 x11):b
% 165.51/165.77 Found (x0 x11) as proof of b
% 165.51/165.77 Found (x0 x11) as proof of b
% 165.51/165.77 Found x10:=(x1 x01):a
% 165.51/165.77 Found (x1 x01) as proof of a
% 165.51/165.77 Found (x1 x01) as proof of a
% 165.51/165.77 Found x00:=(x0 x10):b
% 165.51/165.77 Found (x0 x10) as proof of b
% 165.51/165.77 Found (x0 x10) as proof of b
% 165.51/165.77 Found x00:=(x0 x11):b
% 165.51/165.77 Found (x0 x11) as proof of b
% 165.51/165.77 Found (x0 x11) as proof of b
% 165.51/165.77 Found x10:=(x1 x00):a
% 165.51/165.77 Found (x1 x00) as proof of a
% 165.51/165.77 Found (x1 x00) as proof of a
% 165.51/165.77 Found x10:=(x1 x01):a
% 165.51/165.77 Found (x1 x01) as proof of a
% 165.51/165.77 Found (x1 x01) as proof of a
% 171.48/171.78 Found x00:=(x0 x11):b
% 171.48/171.78 Found (x0 x11) as proof of b
% 171.48/171.78 Found (x0 x11) as proof of b
% 171.48/171.78 Found x10:=(x1 x01):a
% 171.48/171.78 Found (x1 x01) as proof of a
% 171.48/171.78 Found (x1 x01) as proof of a
% 171.48/171.78 Found x00:=(x0 x11):b
% 171.48/171.78 Found (x0 x11) as proof of b
% 171.48/171.78 Found (x0 x11) as proof of b
% 171.48/171.78 Found x10:=(x1 x01):a
% 171.48/171.78 Found (x1 x01) as proof of a
% 171.48/171.78 Found (x1 x01) as proof of a
% 171.48/171.78 Found x10:=(x1 x00):a
% 171.48/171.78 Found (x1 x00) as proof of a
% 171.48/171.78 Found (x1 x00) as proof of a
% 171.48/171.78 Found x00:=(x0 x10):b
% 171.48/171.78 Found (x0 x10) as proof of b
% 171.48/171.78 Found (x0 x10) as proof of b
% 171.48/171.78 Found x00:=(x0 x11):b
% 171.48/171.78 Found (x0 x11) as proof of b
% 171.48/171.78 Found (x0 x11) as proof of b
% 171.48/171.78 Found x10:=(x1 x01):a
% 171.48/171.78 Found (x1 x01) as proof of a
% 171.48/171.78 Found (x1 x01) as proof of a
% 171.48/171.78 Found x00:=(x0 x10):b
% 171.48/171.78 Found (x0 x10) as proof of b
% 171.48/171.78 Found (x0 x10) as proof of b
% 171.48/171.78 Found x10:=(x1 x00):a
% 171.48/171.78 Found (x1 x00) as proof of a
% 171.48/171.78 Found (x1 x00) as proof of a
% 171.48/171.78 Found x0:(P b0)
% 171.48/171.78 Instantiate: b00:=b0:Prop
% 171.48/171.78 Found x0 as proof of (P0 b00)
% 171.48/171.78 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 171.48/171.78 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 171.48/171.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 171.48/171.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 171.48/171.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 171.48/171.78 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 171.48/171.78 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 171.48/171.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 171.48/171.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 171.48/171.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 171.48/171.78 Found x2:(P0 b0)
% 171.48/171.78 Instantiate: b0:=a:Prop
% 171.48/171.78 Found (fun (x2:(P0 b0))=> x2) as proof of (P0 a)
% 171.48/171.78 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 a))
% 171.48/171.78 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% 171.48/171.78 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 171.48/171.78 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 171.48/171.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 171.48/171.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 171.48/171.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 171.48/171.78 Found x2:(P0 b0)
% 171.48/171.78 Instantiate: b0:=a:Prop
% 171.48/171.78 Found (fun (x2:(P0 b0))=> x2) as proof of (P0 a)
% 171.48/171.78 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 a))
% 171.48/171.78 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% 171.48/171.78 Found x00:=(x0 x10):b
% 171.48/171.78 Found (x0 x10) as proof of b
% 171.48/171.78 Found (x0 x10) as proof of b
% 171.48/171.78 Found x10:=(x1 x00):a
% 171.48/171.78 Found (x1 x00) as proof of a
% 171.48/171.78 Found (x1 x00) as proof of a
% 171.48/171.78 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.48/171.78 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 171.48/171.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 171.48/171.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 171.48/171.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 171.48/171.78 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 171.48/171.78 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 171.48/171.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 171.48/171.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 171.48/171.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 171.48/171.78 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.48/171.78 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 171.48/171.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 171.48/171.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 171.48/171.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 171.48/171.78 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 171.48/171.78 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 171.48/171.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 171.48/171.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 171.48/171.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 171.48/171.78 Found x00:=(x0 x11):b
% 171.48/171.78 Found (x0 x11) as proof of b
% 171.48/171.78 Found (x0 x11) as proof of b
% 171.48/171.78 Found x00:=(x0 x10):b
% 171.48/171.78 Found (x0 x10) as proof of b
% 171.48/171.78 Found (x0 x10) as proof of b
% 171.48/171.78 Found x10:=(x1 x01):a
% 171.48/171.78 Found (x1 x01) as proof of a
% 171.48/171.78 Found (x1 x01) as proof of a
% 171.48/171.78 Found x10:=(x1 x00):a
% 171.48/171.78 Found (x1 x00) as proof of a
% 171.48/171.78 Found (x1 x00) as proof of a
% 171.48/171.78 Found x20:(P b0)
% 171.48/171.78 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 171.48/171.78 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 171.48/171.78 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.48/171.78 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 171.48/171.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 171.48/171.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 171.48/171.78 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 171.48/171.78 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 176.41/176.70 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 176.41/176.70 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 176.41/176.70 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 176.41/176.70 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 176.41/176.70 Found x20:(P b0)
% 176.41/176.70 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 176.41/176.70 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 176.41/176.70 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 176.41/176.70 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 176.41/176.70 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 176.41/176.70 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 176.41/176.70 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 176.41/176.70 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 176.41/176.70 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 176.41/176.70 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 176.41/176.70 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 176.41/176.70 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 176.41/176.70 Found x2:(P b)
% 176.41/176.70 Instantiate: b0:=b:Prop
% 176.41/176.70 Found x2 as proof of (P0 b0)
% 176.41/176.70 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 176.41/176.70 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 176.41/176.70 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 176.41/176.70 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 176.41/176.70 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 176.41/176.70 Found x2:(P b)
% 176.41/176.70 Instantiate: b0:=b:Prop
% 176.41/176.70 Found x2 as proof of (P0 b0)
% 176.41/176.70 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 176.41/176.70 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 176.41/176.70 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 176.41/176.70 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 176.41/176.70 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 176.41/176.70 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 176.41/176.70 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 176.41/176.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 176.41/176.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 176.41/176.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 176.41/176.70 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 176.41/176.70 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 176.41/176.70 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 176.41/176.70 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 176.41/176.70 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 176.41/176.70 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 176.41/176.70 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 176.41/176.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 176.41/176.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 176.41/176.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 176.41/176.70 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 176.41/176.70 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 176.41/176.70 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 176.41/176.70 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 176.41/176.70 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 176.41/176.70 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 176.41/176.70 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 176.41/176.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 176.41/176.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 176.41/176.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 176.41/176.70 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 176.41/176.70 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 176.41/176.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 176.41/176.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 176.41/176.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 176.41/176.70 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 176.41/176.70 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 176.41/176.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 176.41/176.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 176.41/176.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 176.41/176.70 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 176.41/176.70 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 176.41/176.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 176.41/176.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 176.41/176.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 176.41/176.70 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 176.41/176.70 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 176.41/176.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 176.41/176.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 176.41/176.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 176.41/176.70 Found x20:(P b)
% 176.41/176.70 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 176.41/176.70 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 176.41/176.70 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 176.41/176.70 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 186.20/186.52 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 186.20/186.52 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 186.20/186.52 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 186.20/186.52 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 186.20/186.52 Found x20:(P b)
% 186.20/186.52 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 186.20/186.52 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 186.20/186.52 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 186.20/186.52 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 186.20/186.52 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 186.20/186.52 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 186.20/186.52 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 186.20/186.52 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 186.20/186.52 Found x10:=(x1 x01):a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found x00:=(x0 x11):b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found x10:=(x1 x01):a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found x00:=(x0 x11):b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found x10:=(x1 x01):a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found x00:=(x0 x11):b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found x00:=(x0 x11):b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found x10:=(x1 x01):a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found x00:=(x0 x10):b
% 186.20/186.52 Found (x0 x10) as proof of b
% 186.20/186.52 Found (x0 x10) as proof of b
% 186.20/186.52 Found x00:=(x0 x11):b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found x10:=(x1 x00):a
% 186.20/186.52 Found (x1 x00) as proof of a
% 186.20/186.52 Found (x1 x00) as proof of a
% 186.20/186.52 Found x10:=(x1 x01):a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found x10:=(x1 x01):a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found x10:=(x1 x01):a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found x00:=(x0 x11):b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found x00:=(x0 x11):b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found x00:=(x0 x10):b
% 186.20/186.52 Found (x0 x10) as proof of b
% 186.20/186.52 Found (x0 x10) as proof of b
% 186.20/186.52 Found x10:=(x1 x00):a
% 186.20/186.52 Found (x1 x00) as proof of a
% 186.20/186.52 Found (x1 x00) as proof of a
% 186.20/186.52 Found x00:=(x0 x11):b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found x10:=(x1 x01):a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found x00:=(x0 x11):b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found (x0 x11) as proof of b
% 186.20/186.52 Found x10:=(x1 x01):a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found (x1 x01) as proof of a
% 186.20/186.52 Found x00:=(x0 x10):b
% 186.20/186.52 Found (x0 x10) as proof of b
% 186.20/186.52 Found (x0 x10) as proof of b
% 186.20/186.52 Found x10:=(x1 x00):a
% 186.20/186.52 Found (x1 x00) as proof of a
% 186.20/186.52 Found (x1 x00) as proof of a
% 186.20/186.52 Found x00:(P b)
% 186.20/186.52 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 186.20/186.52 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 186.20/186.52 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 186.20/186.52 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 186.20/186.52 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 186.20/186.52 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 186.20/186.52 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 186.20/186.52 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 186.20/186.52 Found x00:(P b)
% 186.20/186.52 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 186.20/186.52 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 186.20/186.52 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 186.20/186.52 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 186.20/186.52 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 191.38/191.72 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found x0:(P b)
% 191.38/191.72 Instantiate: a0:=b:Prop
% 191.38/191.72 Found x0 as proof of (P0 a0)
% 191.38/191.72 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 191.38/191.72 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 191.38/191.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 191.38/191.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 191.38/191.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 191.38/191.72 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 191.38/191.72 Found (eq_ref0 a0) as proof of (((eq Prop) a0) b0)
% 191.38/191.72 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 191.38/191.72 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 191.38/191.72 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 191.38/191.72 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 191.38/191.72 Found (eq_ref0 a0) as proof of (((eq Prop) a0) b0)
% 191.38/191.72 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 191.38/191.72 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 191.38/191.72 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 191.38/191.72 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 191.38/191.72 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 191.38/191.72 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found x10:=(x1 x00):a
% 191.38/191.72 Found (x1 x00) as proof of a
% 191.38/191.72 Found (x1 x00) as proof of a
% 191.38/191.72 Found x00:=(x0 x10):b
% 191.38/191.72 Found (x0 x10) as proof of b
% 191.38/191.72 Found (x0 x10) as proof of b
% 191.38/191.72 Found x10:=(x1 x20):b
% 191.38/191.72 Found (x1 x20) as proof of b
% 191.38/191.72 Found (x1 x20) as proof of b
% 191.38/191.72 Found x20:=(x2 x10):a
% 191.38/191.72 Found (x2 x10) as proof of a
% 191.38/191.72 Found (x2 x10) as proof of a
% 191.38/191.72 Found x10:=(x1 x00):a
% 191.38/191.72 Found (x1 x00) as proof of a
% 191.38/191.72 Found (x1 x00) as proof of a
% 191.38/191.72 Found x00:=(x0 x10):b
% 191.38/191.72 Found (x0 x10) as proof of b
% 191.38/191.72 Found (x0 x10) as proof of b
% 191.38/191.72 Found x20:(P b)
% 191.38/191.72 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 191.38/191.72 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 191.38/191.72 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 191.38/191.72 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 191.38/191.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 191.38/191.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 191.38/191.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 191.38/191.72 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 191.38/191.72 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found x20:(P b)
% 191.38/191.72 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 191.38/191.72 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 191.38/191.72 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 191.38/191.72 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 191.38/191.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 191.38/191.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 191.38/191.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 191.38/191.72 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 191.38/191.72 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found x10:=(x1 x00):a
% 191.38/191.72 Found (x1 x00) as proof of a
% 191.38/191.72 Found (x1 x00) as proof of a
% 191.38/191.72 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 191.38/191.72 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 191.38/191.72 Found x00:=(x0 x10):b
% 191.38/191.72 Found (x0 x10) as proof of b
% 191.38/191.72 Found (x0 x10) as proof of b
% 191.38/191.72 Found x10:=(x1 x00):a
% 191.38/191.72 Found (x1 x00) as proof of a
% 191.38/191.72 Found (x1 x00) as proof of a
% 191.38/191.72 Found x10:=(x1 x00):a
% 191.38/191.72 Found (x1 x00) as proof of a
% 191.38/191.72 Found (x1 x00) as proof of a
% 191.38/191.72 Found x00:=(x0 x10):b
% 191.38/191.72 Found (x0 x10) as proof of b
% 191.38/191.72 Found (x0 x10) as proof of b
% 191.38/191.72 Found x00:=(x0 x10):b
% 191.38/191.72 Found (x0 x10) as proof of b
% 191.38/191.72 Found (x0 x10) as proof of b
% 197.83/198.14 Found x00:=(x0 x11):b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found x10:=(x1 x01):a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 197.83/198.14 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 197.83/198.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 197.83/198.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 197.83/198.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 197.83/198.14 Found x2:(P0 b0)
% 197.83/198.14 Instantiate: b0:=a:Prop
% 197.83/198.14 Found (fun (x2:(P0 b0))=> x2) as proof of (P0 a)
% 197.83/198.14 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of ((P0 b0)->(P0 a))
% 197.83/198.14 Found (fun (P0:(Prop->Prop)) (x2:(P0 b0))=> x2) as proof of (P b0)
% 197.83/198.14 Found x10:=(x1 x01):a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found x00:=(x0 x11):b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found x10:=(x1 x01):a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found x00:=(x0 x11):b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found x10:=(x1 x00):a
% 197.83/198.14 Found (x1 x00) as proof of a
% 197.83/198.14 Found (x1 x00) as proof of a
% 197.83/198.14 Found x10:=(x1 x01):a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found x00:=(x0 x11):b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found x10:=(x1 x01):a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found x00:=(x0 x11):b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found x10:=(x1 x01):a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found x00:=(x0 x11):b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found x00:=(x0 x11):b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found x10:=(x1 x01):a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found x00:=(x0 x11):b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found x10:=(x1 x01):a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found x10:=(x1 x01):a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found x00:=(x0 x11):b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found x00:=(x0 x11):b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found x10:=(x1 x01):a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found x00:=(x0 x11):b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found x00:=(x0 x11):b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found (x0 x11) as proof of b
% 197.83/198.14 Found x10:=(x1 x01):a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found x10:=(x1 x21):b
% 197.83/198.14 Found (x1 x21) as proof of b
% 197.83/198.14 Found (x1 x21) as proof of b
% 197.83/198.14 Found x10:=(x1 x01):a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found (x1 x01) as proof of a
% 197.83/198.14 Found x20:=(x2 x11):a
% 197.83/198.14 Found (x2 x11) as proof of a
% 197.83/198.14 Found (x2 x11) as proof of a
% 197.83/198.14 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 197.83/198.14 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 197.83/198.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 197.83/198.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 197.83/198.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 197.83/198.14 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 197.83/198.14 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 197.83/198.14 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 197.83/198.14 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 197.83/198.14 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 197.83/198.14 Found x2:(P b)
% 197.83/198.14 Instantiate: b0:=b:Prop
% 197.83/198.14 Found x2 as proof of (P0 b0)
% 197.83/198.14 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 197.83/198.14 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 197.83/198.14 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 197.83/198.14 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 197.83/198.14 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 197.83/198.14 Found x00:=(x0 x10):b
% 197.83/198.14 Found (x0 x10) as proof of b
% 197.83/198.14 Found (x0 x10) as proof of b
% 197.83/198.14 Found x10:=(x1 x00):a
% 197.83/198.14 Found (x1 x00) as proof of a
% 197.83/198.14 Found (x1 x00) as proof of a
% 197.83/198.14 Found x10:(P1 b)
% 197.83/198.14 Found (fun (x10:(P1 b))=> x10) as proof of (P1 b)
% 197.83/198.14 Found (fun (x10:(P1 b))=> x10) as proof of (P2 b)
% 197.83/198.14 Found x10:=(x1 x00):a
% 197.83/198.14 Found (x1 x00) as proof of a
% 197.83/198.14 Found (x1 x00) as proof of a
% 197.83/198.14 Found x00:=(x0 x10):b
% 197.83/198.14 Found (x0 x10) as proof of b
% 197.83/198.14 Found (x0 x10) as proof of b
% 197.83/198.14 Found x10:=(x1 x00):a
% 197.83/198.14 Found (x1 x00) as proof of a
% 197.83/198.14 Found (x1 x00) as proof of a
% 197.83/198.14 Found x00:=(x0 x10):b
% 197.83/198.14 Found (x0 x10) as proof of b
% 201.76/202.08 Found (x0 x10) as proof of b
% 201.76/202.08 Found x20:(P b)
% 201.76/202.08 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 201.76/202.08 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 201.76/202.08 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 201.76/202.08 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 201.76/202.08 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 201.76/202.08 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 201.76/202.08 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 201.76/202.08 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 201.76/202.08 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 201.76/202.08 Found x20:(P b)
% 201.76/202.08 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 201.76/202.08 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 201.76/202.08 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 201.76/202.08 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 201.76/202.08 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 201.76/202.08 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 201.76/202.08 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 201.76/202.08 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 201.76/202.08 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 201.76/202.08 Found x10:=(x1 x00):a
% 201.76/202.08 Found (x1 x00) as proof of a
% 201.76/202.08 Found (x1 x00) as proof of a
% 201.76/202.08 Found x10:=(x1 x00):a
% 201.76/202.08 Found (x1 x00) as proof of a
% 201.76/202.08 Found (x1 x00) as proof of a
% 201.76/202.08 Found x00:=(x0 x10):b
% 201.76/202.08 Found (x0 x10) as proof of b
% 201.76/202.08 Found (x0 x10) as proof of b
% 201.76/202.08 Found x00:=(x0 x10):b
% 201.76/202.08 Found (x0 x10) as proof of b
% 201.76/202.08 Found (x0 x10) as proof of b
% 201.76/202.08 Found x2:(P b)
% 201.76/202.08 Instantiate: b0:=b:Prop
% 201.76/202.08 Found x2 as proof of (P0 b0)
% 201.76/202.08 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 201.76/202.08 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 201.76/202.08 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 201.76/202.08 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 201.76/202.08 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 201.76/202.08 Found x10:=(x1 x00):a
% 201.76/202.08 Found (x1 x00) as proof of a
% 201.76/202.08 Found (x1 x00) as proof of a
% 201.76/202.08 Found x20:(P a)
% 201.76/202.08 Found (fun (x20:(P a))=> x20) as proof of (P a)
% 201.76/202.08 Found (fun (x20:(P a))=> x20) as proof of (P0 a)
% 201.76/202.08 Found x20:(P a)
% 201.76/202.08 Found (fun (x20:(P a))=> x20) as proof of (P a)
% 201.76/202.08 Found (fun (x20:(P a))=> x20) as proof of (P0 a)
% 201.76/202.08 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 201.76/202.08 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 201.76/202.08 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 201.76/202.08 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 201.76/202.08 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 201.76/202.08 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 201.76/202.08 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 201.76/202.08 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 201.76/202.08 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 201.76/202.08 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 201.76/202.08 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 201.76/202.08 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 201.76/202.08 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 201.76/202.08 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 201.76/202.08 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 201.76/202.08 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 201.76/202.08 Found x20:=(x2 x10):a
% 201.76/202.08 Found (x2 x10) as proof of a
% 201.76/202.08 Found (x2 x10) as proof of a
% 201.76/202.08 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 201.76/202.08 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 201.76/202.08 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 201.76/202.08 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 201.76/202.08 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 201.76/202.08 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 201.76/202.08 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 201.76/202.08 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 209.66/209.99 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 209.66/209.99 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 209.66/209.99 Found x10:=(x1 x00):a
% 209.66/209.99 Found (x1 x00) as proof of a
% 209.66/209.99 Found (x1 x00) as proof of a
% 209.66/209.99 Found x00:=(x0 x10):b
% 209.66/209.99 Found (x0 x10) as proof of b
% 209.66/209.99 Found (x0 x10) as proof of b
% 209.66/209.99 Found x10:=(x1 x00):a
% 209.66/209.99 Found (x1 x00) as proof of a
% 209.66/209.99 Found (x1 x00) as proof of a
% 209.66/209.99 Found x00:=(x0 x10):b
% 209.66/209.99 Found (x0 x10) as proof of b
% 209.66/209.99 Found (x0 x10) as proof of b
% 209.66/209.99 Found x10:=(x1 x01):a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found x00:=(x0 x11):b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found x10:=(x1 x01):a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found x00:=(x0 x11):b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found x00:=(x0 x11):b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found x10:=(x1 x01):a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found x00:=(x0 x11):b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found x10:=(x1 x01):a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found x10:=(x1 x01):a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found x10:=(x1 x01):a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found x10:=(x1 x00):a
% 209.66/209.99 Found (x1 x00) as proof of a
% 209.66/209.99 Found (x1 x00) as proof of a
% 209.66/209.99 Found x00:=(x0 x10):b
% 209.66/209.99 Found (x0 x10) as proof of b
% 209.66/209.99 Found (x0 x10) as proof of b
% 209.66/209.99 Found x10:=(x1 x01):a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found x10:=(x1 x01):a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found x00:=(x0 x11):b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found x00:=(x0 x11):b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found x10:=(x1 x01):a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found x00:=(x0 x11):b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found x00:=(x0 x11):b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found x10:=(x1 x01):a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 209.66/209.99 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 209.66/209.99 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 209.66/209.99 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 209.66/209.99 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 209.66/209.99 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 209.66/209.99 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 209.66/209.99 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 209.66/209.99 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 209.66/209.99 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 209.66/209.99 Found x20:(P b)
% 209.66/209.99 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 209.66/209.99 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 209.66/209.99 Found x00:=(x0 x11):b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found x10:=(x1 x01):a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found x20:(P b)
% 209.66/209.99 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 209.66/209.99 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 209.66/209.99 Found x00:=(x0 x11):b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found (x0 x11) as proof of b
% 209.66/209.99 Found x10:=(x1 x01):a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found (x1 x01) as proof of a
% 209.66/209.99 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 209.66/209.99 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 209.66/209.99 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 209.66/209.99 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 209.66/209.99 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 209.66/209.99 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 209.66/209.99 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 209.66/209.99 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 209.66/209.99 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 209.66/209.99 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 209.66/209.99 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 209.66/209.99 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 209.66/209.99 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 209.66/209.99 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 209.66/209.99 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 209.66/209.99 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 209.66/209.99 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 209.66/209.99 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 215.65/215.95 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found x20:(P a)
% 215.65/215.95 Found (fun (x20:(P a))=> x20) as proof of (P a)
% 215.65/215.95 Found (fun (x20:(P a))=> x20) as proof of (P0 a)
% 215.65/215.95 Found x20:(P a)
% 215.65/215.95 Found (fun (x20:(P a))=> x20) as proof of (P a)
% 215.65/215.95 Found (fun (x20:(P a))=> x20) as proof of (P0 a)
% 215.65/215.95 Found x10:=(x1 x00):a
% 215.65/215.95 Found (x1 x00) as proof of a
% 215.65/215.95 Found (x1 x00) as proof of a
% 215.65/215.95 Found x00:=(x0 x10):b
% 215.65/215.95 Found (x0 x10) as proof of b
% 215.65/215.95 Found (x0 x10) as proof of b
% 215.65/215.95 Found x10:=(x1 x00):a
% 215.65/215.95 Found (x1 x00) as proof of a
% 215.65/215.95 Found (x1 x00) as proof of a
% 215.65/215.95 Found x20:(P b)
% 215.65/215.95 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 215.65/215.95 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 215.65/215.95 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 215.65/215.95 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 215.65/215.95 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 215.65/215.95 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 215.65/215.95 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 215.65/215.95 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 215.65/215.95 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found x00:=(x0 x10):b
% 215.65/215.95 Found (x0 x10) as proof of b
% 215.65/215.95 Found (x0 x10) as proof of b
% 215.65/215.95 Found x20:(P b)
% 215.65/215.95 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 215.65/215.95 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 215.65/215.95 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 215.65/215.95 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 215.65/215.95 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 215.65/215.95 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 215.65/215.95 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 215.65/215.95 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 215.65/215.95 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 215.65/215.95 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 215.65/215.95 Found x00:=(x0 x10):b
% 215.65/215.95 Found (x0 x10) as proof of b
% 215.65/215.95 Found (x0 x10) as proof of b
% 215.65/215.95 Found x10:=(x1 x00):a
% 215.65/215.95 Found (x1 x00) as proof of a
% 215.65/215.95 Found (x1 x00) as proof of a
% 215.65/215.95 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 215.65/215.95 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 215.65/215.95 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 215.65/215.95 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 215.65/215.95 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 215.65/215.95 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 215.65/215.95 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 215.65/215.95 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 215.65/215.95 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 215.65/215.95 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 215.65/215.95 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 215.65/215.95 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 215.65/215.95 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 215.65/215.95 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 215.65/215.95 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 215.65/215.95 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 215.65/215.95 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 215.65/215.95 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 215.65/215.95 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 215.65/215.95 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 220.95/221.27 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 220.95/221.27 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 220.95/221.27 Found x10:=(x1 x00):a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found x00:=(x0 x10):b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found x00:=(x0 x10):b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found x10:=(x1 x00):a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found x10:=(x1 x00):a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found x00:=(x0 x10):b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found x00:=(x0 x10):b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found x10:=(x1 x00):a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found x00:=(x0 x10):b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found x10:=(x1 x00):a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found x00:=(x0 x11):b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found x10:=(x1 x01):a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found x10:=(x1 x01):a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found x00:=(x0 x11):b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found x00:(P1 b0)
% 220.95/221.27 Found (fun (x00:(P1 b0))=> x00) as proof of (P1 b0)
% 220.95/221.27 Found (fun (x00:(P1 b0))=> x00) as proof of (P2 b0)
% 220.95/221.27 Found x00:(P1 b0)
% 220.95/221.27 Found (fun (x00:(P1 b0))=> x00) as proof of (P1 b0)
% 220.95/221.27 Found (fun (x00:(P1 b0))=> x00) as proof of (P2 b0)
% 220.95/221.27 Found x10:=(x1 x00):a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found x00:=(x0 x10):b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found x10:=(x1 x01):a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found x10:=(x1 x01):a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found x00:=(x0 x11):b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found x00:=(x0 x11):b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found x00:=(x0 x11):b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found x10:=(x1 x01):a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found x10:=(x1 x01):a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found x00:=(x0 x11):b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found x20:=(x2 x11):a
% 220.95/221.27 Found (x2 x11) as proof of a
% 220.95/221.27 Found (x2 x11) as proof of a
% 220.95/221.27 Found x20:=(x2 x11):a
% 220.95/221.27 Found (x2 x11) as proof of a
% 220.95/221.27 Found (x2 x11) as proof of a
% 220.95/221.27 Found x00:=(x0 x10):b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found x10:=(x1 x00):a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found x10:=(x1 x21):b
% 220.95/221.27 Found (x1 x21) as proof of b
% 220.95/221.27 Found (x1 x21) as proof of b
% 220.95/221.27 Found x10:=(x1 x21):b
% 220.95/221.27 Found (x1 x21) as proof of b
% 220.95/221.27 Found (x1 x21) as proof of b
% 220.95/221.27 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 220.95/221.27 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 220.95/221.27 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 220.95/221.27 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 220.95/221.27 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 220.95/221.27 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 220.95/221.27 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 220.95/221.27 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 220.95/221.27 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 220.95/221.27 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 220.95/221.27 Found x10:=(x1 x01):a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found x10:=(x1 x01):a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found x00:=(x0 x11):b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found x00:=(x0 x11):b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found x10:=(x1 x01):a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found (x1 x01) as proof of a
% 220.95/221.27 Found x10:=(x1 x00):a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found x00:=(x0 x10):b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found (x0 x10) as proof of b
% 220.95/221.27 Found x00:=(x0 x11):b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found (x0 x11) as proof of b
% 220.95/221.27 Found x10:=(x1 x00):a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found (x1 x00) as proof of a
% 220.95/221.27 Found x00:=(x0 x10):b
% 220.95/221.27 Found (x0 x10) as proof of b
% 223.31/223.63 Found (x0 x10) as proof of b
% 223.31/223.63 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 223.31/223.63 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 223.31/223.63 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 223.31/223.63 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 223.31/223.63 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 223.31/223.63 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 223.31/223.63 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 223.31/223.63 Found x10:=(x1 x00):a
% 223.31/223.63 Found (x1 x00) as proof of a
% 223.31/223.63 Found (x1 x00) as proof of a
% 223.31/223.63 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 223.31/223.63 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 223.31/223.63 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 223.31/223.63 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 223.31/223.63 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 223.31/223.63 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 223.31/223.63 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 223.31/223.63 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 223.31/223.63 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 223.31/223.63 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 223.31/223.63 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 223.31/223.63 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 223.31/223.63 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 223.31/223.63 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 223.31/223.63 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 223.31/223.63 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 223.31/223.63 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 223.31/223.63 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 223.31/223.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 223.31/223.63 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 223.31/223.63 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 223.31/223.63 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 223.31/223.63 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 223.31/223.63 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 223.31/223.63 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 223.31/223.63 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 223.31/223.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 229.71/230.06 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 229.71/230.06 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 229.71/230.06 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 229.71/230.06 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 229.71/230.06 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 229.71/230.06 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 229.71/230.06 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 229.71/230.06 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 229.71/230.06 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found x20:(P b)
% 229.71/230.06 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 229.71/230.06 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 229.71/230.06 Found x00:=(x0 x10):b
% 229.71/230.06 Found (x0 x10) as proof of b
% 229.71/230.06 Found (x0 x10) as proof of b
% 229.71/230.06 Found x10:=(x1 x00):a
% 229.71/230.06 Found (x1 x00) as proof of a
% 229.71/230.06 Found (x1 x00) as proof of a
% 229.71/230.06 Found x20:(P b)
% 229.71/230.06 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 229.71/230.06 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 229.71/230.06 Found x10:=(x1 x00):a
% 229.71/230.06 Found (x1 x00) as proof of a
% 229.71/230.06 Found (x1 x00) as proof of a
% 229.71/230.06 Found x10:=(x1 x01):a
% 229.71/230.06 Found (x1 x01) as proof of a
% 229.71/230.06 Found (x1 x01) as proof of a
% 229.71/230.06 Found x10:=(x1 x00):a
% 229.71/230.06 Found (x1 x00) as proof of a
% 229.71/230.06 Found (x1 x00) as proof of a
% 229.71/230.06 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 229.71/230.06 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found x2:(P2 b0)
% 229.71/230.06 Instantiate: b0:=a:Prop
% 229.71/230.06 Found (fun (x2:(P2 b0))=> x2) as proof of (P2 a)
% 229.71/230.06 Found (fun (P2:(Prop->Prop)) (x2:(P2 b0))=> x2) as proof of ((P2 b0)->(P2 a))
% 229.71/230.06 Found (fun (P2:(Prop->Prop)) (x2:(P2 b0))=> x2) as proof of (P1 b0)
% 229.71/230.06 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 229.71/230.06 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 229.71/230.06 Found x2:(P2 b0)
% 229.71/230.06 Instantiate: b0:=a:Prop
% 229.71/230.06 Found (fun (x2:(P2 b0))=> x2) as proof of (P2 a)
% 229.71/230.06 Found (fun (P2:(Prop->Prop)) (x2:(P2 b0))=> x2) as proof of ((P2 b0)->(P2 a))
% 229.71/230.06 Found (fun (P2:(Prop->Prop)) (x2:(P2 b0))=> x2) as proof of (P1 b0)
% 229.71/230.06 Found x00:=(x0 x10):b
% 229.71/230.06 Found (x0 x10) as proof of b
% 229.71/230.06 Found (x0 x10) as proof of b
% 229.71/230.06 Found x00:=(x0 x10):b
% 229.71/230.06 Found (x0 x10) as proof of b
% 229.71/230.06 Found (x0 x10) as proof of b
% 229.71/230.06 Found x10:=(x1 x00):a
% 229.71/230.06 Found (x1 x00) as proof of a
% 229.71/230.06 Found (x1 x00) as proof of a
% 229.71/230.06 Found x10:=(x1 x01):a
% 229.71/230.06 Found (x1 x01) as proof of a
% 229.71/230.06 Found (x1 x01) as proof of a
% 229.71/230.06 Found x00:=(x0 x10):b
% 229.71/230.06 Found (x0 x10) as proof of b
% 229.71/230.06 Found (x0 x10) as proof of b
% 229.71/230.06 Found x10:=(x1 x00):a
% 229.71/230.06 Found (x1 x00) as proof of a
% 229.71/230.06 Found (x1 x00) as proof of a
% 229.71/230.06 Found x20:(P b0)
% 229.71/230.06 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 229.71/230.06 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 229.71/230.06 Found x20:=(x2 x10):a
% 229.71/230.06 Found (x2 x10) as proof of a
% 229.71/230.06 Found (x2 x10) as proof of a
% 229.71/230.06 Found x10:=(x1 x20):b
% 229.71/230.06 Found (x1 x20) as proof of b
% 229.71/230.06 Found (x1 x20) as proof of b
% 229.71/230.06 Found x00:=(x0 x11):b
% 229.71/230.06 Found (x0 x11) as proof of b
% 229.71/230.06 Found (x0 x11) as proof of b
% 229.71/230.06 Found x20:(P b0)
% 229.71/230.06 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 229.71/230.06 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 229.71/230.06 Found x10:=(x1 x01):a
% 229.71/230.06 Found (x1 x01) as proof of a
% 229.71/230.06 Found (x1 x01) as proof of a
% 229.71/230.06 Found x10:=(x1 x01):a
% 229.71/230.06 Found (x1 x01) as proof of a
% 229.71/230.06 Found (x1 x01) as proof of a
% 229.71/230.06 Found x00:=(x0 x11):b
% 229.71/230.06 Found (x0 x11) as proof of b
% 229.71/230.06 Found (x0 x11) as proof of b
% 229.71/230.06 Found x00:=(x0 x11):b
% 229.71/230.06 Found (x0 x11) as proof of b
% 229.71/230.06 Found (x0 x11) as proof of b
% 229.71/230.06 Found x10:=(x1 x01):a
% 229.71/230.06 Found (x1 x01) as proof of a
% 229.71/230.06 Found (x1 x01) as proof of a
% 229.71/230.06 Found x10:=(x1 x01):a
% 229.71/230.06 Found (x1 x01) as proof of a
% 238.11/238.49 Found (x1 x01) as proof of a
% 238.11/238.49 Found x00:=(x0 x11):b
% 238.11/238.49 Found (x0 x11) as proof of b
% 238.11/238.49 Found (x0 x11) as proof of b
% 238.11/238.49 Found x10:=(x1 x01):a
% 238.11/238.49 Found (x1 x01) as proof of a
% 238.11/238.49 Found (x1 x01) as proof of a
% 238.11/238.49 Found x10:=(x1 x01):a
% 238.11/238.49 Found (x1 x01) as proof of a
% 238.11/238.49 Found (x1 x01) as proof of a
% 238.11/238.49 Found x10:=(x1 x00):a
% 238.11/238.49 Found (x1 x00) as proof of a
% 238.11/238.49 Found (x1 x00) as proof of a
% 238.11/238.49 Found x00:=(x0 x10):b
% 238.11/238.49 Found (x0 x10) as proof of b
% 238.11/238.49 Found (x0 x10) as proof of b
% 238.11/238.49 Found x00:=(x0 x10):b
% 238.11/238.49 Found (x0 x10) as proof of b
% 238.11/238.49 Found (x0 x10) as proof of b
% 238.11/238.49 Found x10:=(x1 x00):a
% 238.11/238.49 Found (x1 x00) as proof of a
% 238.11/238.49 Found (x1 x00) as proof of a
% 238.11/238.49 Found x20:=(x2 x11):a
% 238.11/238.49 Found (x2 x11) as proof of a
% 238.11/238.49 Found (x2 x11) as proof of a
% 238.11/238.49 Found x20:=(x2 x11):a
% 238.11/238.49 Found (x2 x11) as proof of a
% 238.11/238.49 Found (x2 x11) as proof of a
% 238.11/238.49 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 238.11/238.49 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 238.11/238.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 238.11/238.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 238.11/238.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 238.11/238.49 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 238.11/238.49 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 238.11/238.49 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 238.11/238.49 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 238.11/238.49 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 238.11/238.49 Found x20:(P b)
% 238.11/238.49 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 238.11/238.49 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 238.11/238.49 Found x20:(P b)
% 238.11/238.49 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 238.11/238.49 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 238.11/238.49 Found x10:=(x1 x00):a
% 238.11/238.49 Found (x1 x00) as proof of a
% 238.11/238.49 Found (x1 x00) as proof of a
% 238.11/238.49 Found x00:=(x0 x10):b
% 238.11/238.49 Found (x0 x10) as proof of b
% 238.11/238.49 Found (x0 x10) as proof of b
% 238.11/238.49 Found x00:(P b)
% 238.11/238.49 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 238.11/238.49 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 238.11/238.49 Found x00:(P b0)
% 238.11/238.49 Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% 238.11/238.49 Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% 238.11/238.49 Found x00:(P b0)
% 238.11/238.49 Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% 238.11/238.49 Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% 238.11/238.49 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 238.11/238.49 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 238.11/238.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 238.11/238.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 238.11/238.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 238.11/238.49 Found x2:(P1 b)
% 238.11/238.49 Instantiate: b0:=b:Prop
% 238.11/238.49 Found x2 as proof of (P2 b0)
% 238.11/238.49 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 238.11/238.49 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 238.11/238.49 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 238.11/238.49 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 238.11/238.49 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 238.11/238.49 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 238.11/238.49 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 238.11/238.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 238.11/238.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 238.11/238.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 238.11/238.49 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 238.11/238.49 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 238.11/238.49 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 238.11/238.49 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 238.11/238.49 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 238.11/238.49 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 238.11/238.49 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 238.11/238.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 238.11/238.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 238.11/238.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 238.11/238.49 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 238.11/238.49 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 238.11/238.49 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 238.11/238.49 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 238.11/238.49 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 238.11/238.49 Found x2:(P1 b)
% 238.11/238.49 Instantiate: b0:=b:Prop
% 238.11/238.49 Found x2 as proof of (P2 b0)
% 238.11/238.49 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 238.11/238.49 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 238.11/238.49 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 238.11/238.49 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 238.11/238.49 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 238.11/238.49 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 245.29/245.63 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 245.29/245.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 245.29/245.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 245.29/245.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 245.29/245.63 Found x0:(P0 b00)
% 245.29/245.63 Instantiate: b00:=a:Prop
% 245.29/245.63 Found (fun (x0:(P0 b00))=> x0) as proof of (P0 b0)
% 245.29/245.63 Found (fun (P0:(Prop->Prop)) (x0:(P0 b00))=> x0) as proof of ((P0 b00)->(P0 b0))
% 245.29/245.63 Found (fun (P0:(Prop->Prop)) (x0:(P0 b00))=> x0) as proof of (P b00)
% 245.29/245.63 Found x20:=(x2 x10):a
% 245.29/245.63 Found (x2 x10) as proof of a
% 245.29/245.63 Found (x2 x10) as proof of a
% 245.29/245.63 Found x10:=(x1 x20):b
% 245.29/245.63 Found (x1 x20) as proof of b
% 245.29/245.63 Found (x1 x20) as proof of b
% 245.29/245.63 Found x20:=(x2 x10):a
% 245.29/245.63 Found (x2 x10) as proof of a
% 245.29/245.63 Found (x2 x10) as proof of a
% 245.29/245.63 Found x2:(P b0)
% 245.29/245.63 Instantiate: b00:=b0:Prop
% 245.29/245.63 Found x2 as proof of (P0 b00)
% 245.29/245.63 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 245.29/245.63 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 245.29/245.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 245.29/245.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 245.29/245.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 245.29/245.63 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 245.29/245.63 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 245.29/245.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 245.29/245.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 245.29/245.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 245.29/245.63 Found x10:=(x1 x00):a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found x00:=(x0 x10):b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found x10:=(x1 x00):a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found x00:=(x0 x10):b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found x00:=(x0 x10):b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found x00:=(x0 x10):b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found x10:=(x1 x00):a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found x10:=(x1 x00):a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found x10:=(x1 x00):a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found x00:=(x0 x10):b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found x10:=(x1 x00):a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found x10:=(x1 x00):a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found x10:=(x1 x00):a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found x00:=(x0 x10):b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found x10:=(x1 x00):a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found x00:=(x0 x10):b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found x10:=(x1 x00):a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found (x1 x00) as proof of a
% 245.29/245.63 Found x00:=(x0 x10):b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found (x0 x10) as proof of b
% 245.29/245.63 Found x10:=(x1 x01):a
% 245.29/245.63 Found (x1 x01) as proof of a
% 245.29/245.63 Found (x1 x01) as proof of a
% 245.29/245.63 Found x00:=(x0 x11):b
% 245.29/245.63 Found (x0 x11) as proof of b
% 245.29/245.63 Found (x0 x11) as proof of b
% 245.29/245.63 Found x10:=(x1 x01):a
% 245.29/245.63 Found (x1 x01) as proof of a
% 245.29/245.63 Found (x1 x01) as proof of a
% 245.29/245.63 Found x10:=(x1 x01):a
% 245.29/245.63 Found (x1 x01) as proof of a
% 245.29/245.63 Found (x1 x01) as proof of a
% 245.29/245.63 Found x00:=(x0 x11):b
% 245.29/245.63 Found (x0 x11) as proof of b
% 245.29/245.63 Found (x0 x11) as proof of b
% 245.29/245.63 Found x10:=(x1 x01):a
% 245.29/245.63 Found (x1 x01) as proof of a
% 245.29/245.63 Found (x1 x01) as proof of a
% 245.29/245.63 Found x00:=(x0 x11):b
% 245.29/245.63 Found (x0 x11) as proof of b
% 245.29/245.63 Found (x0 x11) as proof of b
% 245.29/245.63 Found x00:=(x0 x11):b
% 245.29/245.63 Found (x0 x11) as proof of b
% 245.29/245.63 Found (x0 x11) as proof of b
% 245.29/245.63 Found x0:(P b)
% 245.29/245.63 Instantiate: b1:=b:Prop
% 245.29/245.63 Found x0 as proof of (P0 b1)
% 245.29/245.63 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 245.29/245.63 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b1)
% 245.29/245.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 245.29/245.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 245.29/245.63 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 245.29/245.63 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 245.29/245.63 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 245.29/245.63 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 245.29/245.63 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 245.29/245.63 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 245.29/245.63 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 245.29/245.63 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 250.01/250.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 250.01/250.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 250.01/250.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 250.01/250.37 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 250.01/250.37 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 250.01/250.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 250.01/250.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 250.01/250.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 250.01/250.37 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 250.01/250.37 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 250.01/250.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 250.01/250.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 250.01/250.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 250.01/250.37 Found x00:=(x0 x10):b
% 250.01/250.37 Found (x0 x10) as proof of b
% 250.01/250.37 Found (x0 x10) as proof of b
% 250.01/250.37 Found x0:(P b0)
% 250.01/250.37 Instantiate: b1:=b0:Prop
% 250.01/250.37 Found x0 as proof of (P0 b1)
% 250.01/250.37 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 250.01/250.37 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 250.01/250.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 250.01/250.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 250.01/250.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 250.01/250.37 Found x10:=(x1 x00):a
% 250.01/250.37 Found (x1 x00) as proof of a
% 250.01/250.37 Found (x1 x00) as proof of a
% 250.01/250.37 Found x00:=(x0 x11):b
% 250.01/250.37 Found (x0 x11) as proof of b
% 250.01/250.37 Found (x0 x11) as proof of b
% 250.01/250.37 Found x10:=(x1 x01):a
% 250.01/250.37 Found (x1 x01) as proof of a
% 250.01/250.37 Found (x1 x01) as proof of a
% 250.01/250.37 Found x00:=(x0 x11):b
% 250.01/250.37 Found (x0 x11) as proof of b
% 250.01/250.37 Found (x0 x11) as proof of b
% 250.01/250.37 Found x10:=(x1 x01):a
% 250.01/250.37 Found (x1 x01) as proof of a
% 250.01/250.37 Found (x1 x01) as proof of a
% 250.01/250.37 Found x00:=(x0 x11):b
% 250.01/250.37 Found (x0 x11) as proof of b
% 250.01/250.37 Found (x0 x11) as proof of b
% 250.01/250.37 Found x10:=(x1 x01):a
% 250.01/250.37 Found (x1 x01) as proof of a
% 250.01/250.37 Found (x1 x01) as proof of a
% 250.01/250.37 Found x00:=(x0 x11):b
% 250.01/250.37 Found (x0 x11) as proof of b
% 250.01/250.37 Found (x0 x11) as proof of b
% 250.01/250.37 Found x10:=(x1 x01):a
% 250.01/250.37 Found (x1 x01) as proof of a
% 250.01/250.37 Found (x1 x01) as proof of a
% 250.01/250.37 Found x10:=(x1 x00):a
% 250.01/250.37 Found (x1 x00) as proof of a
% 250.01/250.37 Found (x1 x00) as proof of a
% 250.01/250.37 Found x00:=(x0 x10):b
% 250.01/250.37 Found (x0 x10) as proof of b
% 250.01/250.37 Found (x0 x10) as proof of b
% 250.01/250.37 Found x00:(P1 b)
% 250.01/250.37 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 250.01/250.37 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 250.01/250.37 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 250.01/250.37 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 250.01/250.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 250.01/250.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 250.01/250.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 250.01/250.37 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 250.01/250.37 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 250.01/250.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 250.01/250.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 250.01/250.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 250.01/250.37 Found x00:(P1 b)
% 250.01/250.37 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 250.01/250.37 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 250.01/250.37 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 250.01/250.37 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 250.01/250.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 250.01/250.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 250.01/250.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 250.01/250.37 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 250.01/250.37 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 250.01/250.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 250.01/250.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 250.01/250.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 250.01/250.37 Found x20:(P b)
% 250.01/250.37 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 250.01/250.37 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 250.01/250.37 Found x20:(P b)
% 250.01/250.37 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 250.01/250.37 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 250.01/250.37 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 250.01/250.37 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 250.01/250.37 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 250.01/250.37 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 250.01/250.37 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 250.01/250.37 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 250.01/250.37 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 250.01/250.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 250.01/250.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 250.01/250.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 250.01/250.37 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 259.78/260.13 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 259.78/260.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 259.78/260.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 259.78/260.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 259.78/260.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 259.78/260.13 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 259.78/260.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 259.78/260.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 259.78/260.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 259.78/260.13 Found x10:=(x1 x20):b
% 259.78/260.13 Found (x1 x20) as proof of b
% 259.78/260.13 Found (x1 x20) as proof of b
% 259.78/260.13 Found x20:=(x2 x10):a
% 259.78/260.13 Found (x2 x10) as proof of a
% 259.78/260.13 Found (x2 x10) as proof of a
% 259.78/260.13 Found x10:=(x1 x20):b
% 259.78/260.13 Found (x1 x20) as proof of b
% 259.78/260.13 Found (x1 x20) as proof of b
% 259.78/260.13 Found x10:=(x1 x01):a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found x20:=(x2 x10):a
% 259.78/260.13 Found (x2 x10) as proof of a
% 259.78/260.13 Found (x2 x10) as proof of a
% 259.78/260.13 Found x10:=(x1 x01):a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found x10:=(x1 x01):a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found x10:=(x1 x01):a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found x20:(P b0)
% 259.78/260.13 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 259.78/260.13 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 259.78/260.13 Found x10:=(x1 x00):a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found x00:=(x0 x10):b
% 259.78/260.13 Found (x0 x10) as proof of b
% 259.78/260.13 Found (x0 x10) as proof of b
% 259.78/260.13 Found x00:=(x0 x10):b
% 259.78/260.13 Found (x0 x10) as proof of b
% 259.78/260.13 Found (x0 x10) as proof of b
% 259.78/260.13 Found x10:=(x1 x00):a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found x00:=(x0 x10):b
% 259.78/260.13 Found (x0 x10) as proof of b
% 259.78/260.13 Found (x0 x10) as proof of b
% 259.78/260.13 Found x10:=(x1 x00):a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found x10:=(x1 x00):a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found x00:=(x0 x10):b
% 259.78/260.13 Found (x0 x10) as proof of b
% 259.78/260.13 Found (x0 x10) as proof of b
% 259.78/260.13 Found x10:=(x1 x00):a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found x00:=(x0 x11):b
% 259.78/260.13 Found (x0 x11) as proof of b
% 259.78/260.13 Found (x0 x11) as proof of b
% 259.78/260.13 Found x00:=(x0 x10):b
% 259.78/260.13 Found (x0 x10) as proof of b
% 259.78/260.13 Found (x0 x10) as proof of b
% 259.78/260.13 Found x10:=(x1 x01):a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found x00:=(x0 x11):b
% 259.78/260.13 Found (x0 x11) as proof of b
% 259.78/260.13 Found (x0 x11) as proof of b
% 259.78/260.13 Found x10:=(x1 x01):a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found x20:=(x2 x30):b
% 259.78/260.13 Found (x2 x30) as proof of b
% 259.78/260.13 Found (x2 x30) as proof of b
% 259.78/260.13 Found x10:=(x1 x01):a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found x30:=(x3 x20):a
% 259.78/260.13 Found (x3 x20) as proof of a
% 259.78/260.13 Found (x3 x20) as proof of a
% 259.78/260.13 Found x10:=(x1 x01):a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found (x1 x01) as proof of a
% 259.78/260.13 Found x2:(P b)
% 259.78/260.13 Instantiate: a0:=b:Prop
% 259.78/260.13 Found x2 as proof of (P0 a0)
% 259.78/260.13 Found x10:=(x1 x00):a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found x00:=(x0 x10):b
% 259.78/260.13 Found (x0 x10) as proof of b
% 259.78/260.13 Found (x0 x10) as proof of b
% 259.78/260.13 Found x10:=(x1 x00):a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found x00:=(x0 x10):b
% 259.78/260.13 Found (x0 x10) as proof of b
% 259.78/260.13 Found (x0 x10) as proof of b
% 259.78/260.13 Found x10:=(x1 x00):a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found (x1 x00) as proof of a
% 259.78/260.13 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 259.78/260.13 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 259.78/260.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 259.78/260.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 259.78/260.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 259.78/260.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 259.78/260.13 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 259.78/260.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 259.78/260.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 259.78/260.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 259.78/260.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 259.78/260.13 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 259.78/260.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 259.78/260.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 259.78/260.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 259.78/260.13 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 259.78/260.13 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 259.78/260.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 259.78/260.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found x10:=(x1 x20):b
% 268.30/268.66 Found (x1 x20) as proof of b
% 268.30/268.66 Found (x1 x20) as proof of b
% 268.30/268.66 Found x10:=(x1 x20):b
% 268.30/268.66 Found (x1 x20) as proof of b
% 268.30/268.66 Found (x1 x20) as proof of b
% 268.30/268.66 Found x20:=(x2 x10):a
% 268.30/268.66 Found (x2 x10) as proof of a
% 268.30/268.66 Found (x2 x10) as proof of a
% 268.30/268.66 Found x20:(P b0)
% 268.30/268.66 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 268.30/268.66 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 268.30/268.66 Found x20:(P b0)
% 268.30/268.66 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 268.30/268.66 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 268.30/268.66 Found x20:=(x2 x10):a
% 268.30/268.66 Found (x2 x10) as proof of a
% 268.30/268.66 Found (x2 x10) as proof of a
% 268.30/268.66 Found x20:(P b0)
% 268.30/268.66 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 268.30/268.66 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 268.30/268.66 Found x20:(P b)
% 268.30/268.66 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 268.30/268.66 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 268.30/268.66 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 268.30/268.66 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 268.30/268.66 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found x20:(P b)
% 268.30/268.66 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 268.30/268.66 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 268.30/268.66 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 268.30/268.66 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 268.30/268.66 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 268.30/268.66 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 268.30/268.66 Found (eq_ref0 a0) as proof of (((eq Prop) a0) b0)
% 268.30/268.66 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 268.30/268.66 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 268.30/268.66 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 268.30/268.66 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 268.30/268.66 Found (eq_ref0 a0) as proof of (((eq Prop) a0) b0)
% 268.30/268.66 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 268.30/268.66 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 268.30/268.66 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 268.30/268.66 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 268.30/268.66 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 268.30/268.66 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 268.30/268.66 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 268.30/268.66 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 268.30/268.66 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 268.30/268.66 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 268.30/268.66 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 268.30/268.66 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 268.30/268.66 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 269.87/270.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 269.87/270.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 269.87/270.21 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 269.87/270.21 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 269.87/270.21 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 269.87/270.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 269.87/270.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 269.87/270.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 269.87/270.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 269.87/270.21 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found x2:(P2 b0)
% 269.87/270.21 Instantiate: b0:=a:Prop
% 269.87/270.21 Found (fun (x2:(P2 b0))=> x2) as proof of (P2 a)
% 269.87/270.21 Found (fun (P2:(Prop->Prop)) (x2:(P2 b0))=> x2) as proof of ((P2 b0)->(P2 a))
% 269.87/270.21 Found (fun (P2:(Prop->Prop)) (x2:(P2 b0))=> x2) as proof of (P1 b0)
% 269.87/270.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 269.87/270.21 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found x2:(P2 b0)
% 269.87/270.21 Instantiate: b0:=a:Prop
% 269.87/270.21 Found (fun (x2:(P2 b0))=> x2) as proof of (P2 a)
% 269.87/270.21 Found (fun (P2:(Prop->Prop)) (x2:(P2 b0))=> x2) as proof of ((P2 b0)->(P2 a))
% 269.87/270.21 Found (fun (P2:(Prop->Prop)) (x2:(P2 b0))=> x2) as proof of (P1 b0)
% 269.87/270.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 269.87/270.21 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 269.87/270.21 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 269.87/270.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 269.87/270.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 269.87/270.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 269.87/270.21 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 269.87/270.21 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 269.87/270.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 269.87/270.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 269.87/270.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 269.87/270.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 269.87/270.21 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 269.87/270.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 269.87/270.21 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 269.87/270.21 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 269.87/270.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 269.87/270.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 269.87/270.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 269.87/270.21 Found x20:=(x2 x10):a
% 269.87/270.21 Found (x2 x10) as proof of a
% 269.87/270.21 Found (x2 x10) as proof of a
% 269.87/270.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 269.87/270.21 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 269.87/270.21 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 269.87/270.21 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 269.87/270.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 269.87/270.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 269.87/270.21 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 277.75/278.12 Found x00:=(x0 x10):b
% 277.75/278.12 Found (x0 x10) as proof of b
% 277.75/278.12 Found (x0 x10) as proof of b
% 277.75/278.12 Found x10:=(x1 x00):a
% 277.75/278.12 Found (x1 x00) as proof of a
% 277.75/278.12 Found (x1 x00) as proof of a
% 277.75/278.12 Found x20:=(x2 x10):a
% 277.75/278.12 Found (x2 x10) as proof of a
% 277.75/278.12 Found (x2 x10) as proof of a
% 277.75/278.12 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 277.75/278.12 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 277.75/278.12 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 277.75/278.12 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 277.75/278.12 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 277.75/278.12 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 277.75/278.12 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 277.75/278.12 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 277.75/278.12 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 277.75/278.12 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 277.75/278.12 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 277.75/278.12 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 277.75/278.12 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 277.75/278.12 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 277.75/278.12 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 277.75/278.12 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 277.75/278.12 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 277.75/278.12 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 277.75/278.12 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 277.75/278.12 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 277.75/278.12 Found x2:(P b0)
% 277.75/278.12 Instantiate: b00:=b0:Prop
% 277.75/278.12 Found x2 as proof of (P0 b00)
% 277.75/278.12 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 277.75/278.12 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 277.75/278.12 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 277.75/278.12 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 277.75/278.12 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 277.75/278.12 Found x10:=(x1 x20):b
% 277.75/278.12 Found (x1 x20) as proof of b
% 277.75/278.12 Found (x1 x20) as proof of b
% 277.75/278.12 Found x10:=(x1 x00):a
% 277.75/278.12 Found (x1 x00) as proof of a
% 277.75/278.12 Found (x1 x00) as proof of a
% 277.75/278.12 Found x10:=(x1 x00):a
% 277.75/278.12 Found (x1 x00) as proof of a
% 277.75/278.12 Found (x1 x00) as proof of a
% 277.75/278.12 Found x10:=(x1 x00):a
% 277.75/278.12 Found (x1 x00) as proof of a
% 277.75/278.12 Found (x1 x00) as proof of a
% 277.75/278.12 Found x10:=(x1 x00):a
% 277.75/278.12 Found (x1 x00) as proof of a
% 277.75/278.12 Found (x1 x00) as proof of a
% 277.75/278.12 Found x00:=(x0 x10):b
% 277.75/278.12 Found (x0 x10) as proof of b
% 277.75/278.12 Found (x0 x10) as proof of b
% 277.75/278.12 Found x00:=(x0 x10):b
% 277.75/278.12 Found (x0 x10) as proof of b
% 277.75/278.12 Found (x0 x10) as proof of b
% 277.75/278.12 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 277.75/278.12 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 277.75/278.12 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 277.75/278.12 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 277.75/278.12 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 277.75/278.12 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 277.75/278.12 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 277.75/278.12 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 277.75/278.12 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 277.75/278.12 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 277.75/278.12 Found x00:=(x0 x10):b
% 277.75/278.12 Found (x0 x10) as proof of b
% 277.75/278.12 Found (x0 x10) as proof of b
% 277.75/278.12 Found x30:=(x3 x20):a
% 277.75/278.12 Found (x3 x20) as proof of a
% 277.75/278.12 Found (x3 x20) as proof of a
% 277.75/278.12 Found x10:=(x1 x00):a
% 277.75/278.12 Found (x1 x00) as proof of a
% 277.75/278.12 Found (x1 x00) as proof of a
% 277.75/278.12 Found x10:=(x1 x00):a
% 277.75/278.12 Found (x1 x00) as proof of a
% 277.75/278.12 Found (x1 x00) as proof of a
% 277.75/278.12 Found x00:=(x0 x10):b
% 277.75/278.12 Found (x0 x10) as proof of b
% 277.75/278.12 Found (x0 x10) as proof of b
% 277.75/278.12 Found x00:=(x0 x11):b
% 277.75/278.12 Found (x0 x11) as proof of b
% 277.75/278.12 Found (x0 x11) as proof of b
% 277.75/278.12 Found x10:=(x1 x01):a
% 277.75/278.12 Found (x1 x01) as proof of a
% 277.75/278.12 Found (x1 x01) as proof of a
% 277.75/278.12 Found x10:=(x1 x01):a
% 277.75/278.12 Found (x1 x01) as proof of a
% 277.75/278.12 Found (x1 x01) as proof of a
% 277.75/278.12 Found x10:=(x1 x01):a
% 277.75/278.12 Found (x1 x01) as proof of a
% 277.75/278.12 Found (x1 x01) as proof of a
% 277.75/278.12 Found x00:=(x0 x11):b
% 277.75/278.12 Found (x0 x11) as proof of b
% 277.75/278.12 Found (x0 x11) as proof of b
% 277.75/278.12 Found x00:=(x0 x11):b
% 277.75/278.12 Found (x0 x11) as proof of b
% 277.75/278.12 Found (x0 x11) as proof of b
% 277.75/278.12 Found x20:=(x2 x10):a
% 277.75/278.12 Found (x2 x10) as proof of a
% 277.75/278.12 Found (x2 x10) as proof of a
% 277.75/278.12 Found x20:=(x2 x10):a
% 277.75/278.12 Found (x2 x10) as proof of a
% 277.75/278.12 Found (x2 x10) as proof of a
% 277.75/278.12 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 277.75/278.12 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b1)
% 277.75/278.12 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 277.75/278.12 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 277.75/278.12 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 277.75/278.12 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 280.88/281.31 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 280.88/281.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 280.88/281.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 280.88/281.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 280.88/281.31 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 280.88/281.31 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b1)
% 280.88/281.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 280.88/281.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 280.88/281.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 280.88/281.31 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 280.88/281.31 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 280.88/281.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 280.88/281.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 280.88/281.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 280.88/281.31 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 280.88/281.31 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 280.88/281.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 280.88/281.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 280.88/281.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 280.88/281.31 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 280.88/281.31 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 280.88/281.31 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 280.88/281.31 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 280.88/281.31 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 280.88/281.31 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 280.88/281.31 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 280.88/281.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 280.88/281.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 280.88/281.31 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 280.88/281.31 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 280.88/281.31 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 280.88/281.31 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 280.88/281.31 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 280.88/281.31 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 280.88/281.31 Found x00:=(x0 x10):b
% 280.88/281.31 Found (x0 x10) as proof of b
% 280.88/281.31 Found (x0 x10) as proof of b
% 280.88/281.31 Found x10:=(x1 x00):a
% 280.88/281.31 Found (x1 x00) as proof of a
% 280.88/281.31 Found (x1 x00) as proof of a
% 280.88/281.31 Found x00:=(x0 x11):b
% 280.88/281.31 Found (x0 x11) as proof of b
% 280.88/281.31 Found (x0 x11) as proof of b
% 280.88/281.31 Found x10:=(x1 x01):a
% 280.88/281.31 Found (x1 x01) as proof of a
% 280.88/281.31 Found (x1 x01) as proof of a
% 280.88/281.31 Found x2:(P1 b)
% 280.88/281.31 Instantiate: b0:=b:Prop
% 280.88/281.31 Found x2 as proof of (P2 b0)
% 280.88/281.31 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 280.88/281.31 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 280.88/281.31 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 280.88/281.31 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 280.88/281.31 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 280.88/281.31 Found x2:(P1 b)
% 280.88/281.31 Instantiate: b0:=b:Prop
% 280.88/281.31 Found x2 as proof of (P2 b0)
% 280.88/281.31 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 280.88/281.31 Found (eq_ref0 a) as proof of (((eq Prop) a) b0)
% 280.88/281.31 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 280.88/281.31 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 280.88/281.31 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b0)
% 280.88/281.31 Found x30:(P1 b)
% 280.88/281.31 Found (fun (x30:(P1 b))=> x30) as proof of (P1 b)
% 280.88/281.31 Found (fun (x30:(P1 b))=> x30) as proof of (P2 b)
% 280.88/281.31 Found x00:=(x0 x11):b
% 280.88/281.31 Found (x0 x11) as proof of b
% 280.88/281.31 Found (x0 x11) as proof of b
% 280.88/281.31 Found x00:=(x0 x11):b
% 280.88/281.31 Found (x0 x11) as proof of b
% 280.88/281.31 Found (x0 x11) as proof of b
% 280.88/281.31 Found x10:=(x1 x01):a
% 280.88/281.31 Found (x1 x01) as proof of a
% 280.88/281.31 Found (x1 x01) as proof of a
% 280.88/281.31 Found x00:=(x0 x11):b
% 280.88/281.31 Found (x0 x11) as proof of b
% 280.88/281.31 Found (x0 x11) as proof of b
% 280.88/281.31 Found x10:=(x1 x01):a
% 280.88/281.31 Found (x1 x01) as proof of a
% 280.88/281.31 Found (x1 x01) as proof of a
% 280.88/281.31 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 280.88/281.31 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b0)
% 280.88/281.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 280.88/281.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 280.88/281.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b0)
% 280.88/281.31 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 280.88/281.31 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 280.88/281.31 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 280.88/281.31 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 280.88/281.31 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 280.88/281.31 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 280.88/281.31 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 280.88/281.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 280.88/281.31 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 285.84/286.20 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 285.84/286.20 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 285.84/286.20 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b1)
% 285.84/286.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 285.84/286.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 285.84/286.20 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b1)
% 285.84/286.20 Found x20:(P b0)
% 285.84/286.20 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 285.84/286.20 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 285.84/286.20 Found x20:(P b0)
% 285.84/286.20 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 285.84/286.20 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 285.84/286.20 Found x10:=(x1 x01):a
% 285.84/286.20 Found (x1 x01) as proof of a
% 285.84/286.20 Found (x1 x01) as proof of a
% 285.84/286.20 Found x10:=(x1 x01):a
% 285.84/286.20 Found (x1 x01) as proof of a
% 285.84/286.20 Found (x1 x01) as proof of a
% 285.84/286.20 Found x00:=(x0 x11):b
% 285.84/286.20 Found (x0 x11) as proof of b
% 285.84/286.20 Found (x0 x11) as proof of b
% 285.84/286.20 Found x10:=(x1 x00):a
% 285.84/286.20 Found (x1 x00) as proof of a
% 285.84/286.20 Found (x1 x00) as proof of a
% 285.84/286.20 Found x00:=(x0 x10):b
% 285.84/286.20 Found (x0 x10) as proof of b
% 285.84/286.20 Found (x0 x10) as proof of b
% 285.84/286.20 Found x00:=(x0 x10):b
% 285.84/286.20 Found (x0 x10) as proof of b
% 285.84/286.20 Found (x0 x10) as proof of b
% 285.84/286.20 Found x10:=(x1 x00):a
% 285.84/286.20 Found (x1 x00) as proof of a
% 285.84/286.20 Found (x1 x00) as proof of a
% 285.84/286.20 Found x00:=(x0 x10):b
% 285.84/286.20 Found (x0 x10) as proof of b
% 285.84/286.20 Found (x0 x10) as proof of b
% 285.84/286.20 Found x10:=(x1 x00):a
% 285.84/286.20 Found (x1 x00) as proof of a
% 285.84/286.20 Found (x1 x00) as proof of a
% 285.84/286.20 Found x10:=(x1 x00):a
% 285.84/286.20 Found (x1 x00) as proof of a
% 285.84/286.20 Found (x1 x00) as proof of a
% 285.84/286.20 Found x00:=(x0 x10):b
% 285.84/286.20 Found (x0 x10) as proof of b
% 285.84/286.20 Found (x0 x10) as proof of b
% 285.84/286.20 Found x2:(P b0)
% 285.84/286.20 Found x2 as proof of (P0 a)
% 285.84/286.20 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 285.84/286.20 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 285.84/286.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 285.84/286.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 285.84/286.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 285.84/286.20 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 285.84/286.20 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 285.84/286.20 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 285.84/286.20 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 285.84/286.20 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 285.84/286.20 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 285.84/286.20 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 285.84/286.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 285.84/286.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 285.84/286.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 285.84/286.20 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 285.84/286.20 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 285.84/286.20 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 285.84/286.20 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 285.84/286.20 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 285.84/286.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 285.84/286.20 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 285.84/286.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 285.84/286.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 285.84/286.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 285.84/286.20 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 285.84/286.20 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 285.84/286.20 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 285.84/286.20 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 285.84/286.20 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 285.84/286.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 285.84/286.20 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 285.84/286.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 285.84/286.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 285.84/286.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 285.84/286.20 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 285.84/286.20 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 285.84/286.20 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 285.84/286.20 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 285.84/286.20 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 285.84/286.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 285.84/286.20 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 285.84/286.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 285.84/286.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 285.84/286.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 285.84/286.20 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 285.84/286.20 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 285.84/286.20 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 285.84/286.20 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 291.07/291.45 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 291.07/291.45 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 291.07/291.45 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 291.07/291.45 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 291.07/291.45 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 291.07/291.45 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 291.07/291.45 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 291.07/291.45 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 291.07/291.45 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 291.07/291.45 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 291.07/291.45 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 291.07/291.45 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 291.07/291.45 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 291.07/291.45 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 291.07/291.45 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 291.07/291.45 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 291.07/291.45 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 291.07/291.45 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 291.07/291.45 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 291.07/291.45 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 291.07/291.45 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 291.07/291.45 Found x00:=(x0 x11):b
% 291.07/291.45 Found (x0 x11) as proof of b
% 291.07/291.45 Found (x0 x11) as proof of b
% 291.07/291.45 Found eq_ref00:=(eq_ref0 b00):(((eq Prop) b00) b00)
% 291.07/291.45 Found (eq_ref0 b00) as proof of (((eq Prop) b00) b0)
% 291.07/291.45 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 291.07/291.45 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 291.07/291.45 Found ((eq_ref Prop) b00) as proof of (((eq Prop) b00) b0)
% 291.07/291.45 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 291.07/291.45 Found (eq_ref0 b) as proof of (((eq Prop) b) b00)
% 291.07/291.45 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 291.07/291.45 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 291.07/291.45 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b00)
% 291.07/291.45 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 291.07/291.45 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 291.07/291.45 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 291.07/291.45 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 291.07/291.45 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 291.07/291.45 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 291.07/291.45 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 291.07/291.45 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 291.07/291.45 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 291.07/291.45 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 291.07/291.45 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 291.07/291.45 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 291.07/291.45 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 291.07/291.45 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 291.07/291.45 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 291.07/291.45 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 291.07/291.45 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 291.07/291.45 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 291.07/291.45 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 291.07/291.45 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 291.07/291.45 Found x10:=(x1 x01):a
% 291.07/291.45 Found (x1 x01) as proof of a
% 291.07/291.45 Found (x1 x01) as proof of a
% 291.07/291.45 Found x2:(P b)
% 291.07/291.45 Instantiate: a0:=b:Prop
% 291.07/291.45 Found x2 as proof of (P0 a0)
% 291.07/291.45 Found x10:=(x1 x00):a
% 291.07/291.45 Found (x1 x00) as proof of a
% 291.07/291.45 Found (x1 x00) as proof of a
% 291.07/291.45 Found x00:=(x0 x10):b
% 291.07/291.45 Found (x0 x10) as proof of b
% 291.07/291.45 Found (x0 x10) as proof of b
% 291.07/291.45 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 291.07/291.45 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 291.07/291.45 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 291.07/291.45 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 291.07/291.45 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 291.07/291.45 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 291.07/291.45 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 291.07/291.45 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 291.07/291.45 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 291.07/291.45 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 291.07/291.45 Found x10:=(x1 x20):b
% 291.07/291.45 Found (x1 x20) as proof of b
% 291.07/291.45 Found (x1 x20) as proof of b
% 291.07/291.45 Found x10:=(x1 x00):a
% 291.07/291.45 Found (x1 x00) as proof of a
% 291.07/291.45 Found (x1 x00) as proof of a
% 291.07/291.45 Found x20:=(x2 x10):a
% 291.07/291.45 Found (x2 x10) as proof of a
% 291.07/291.45 Found (x2 x10) as proof of a
% 291.07/291.45 Found x00:=(x0 x10):b
% 291.07/291.45 Found (x0 x10) as proof of b
% 291.07/291.45 Found (x0 x10) as proof of b
% 291.07/291.45 Found x10:=(x1 x01):a
% 291.07/291.45 Found (x1 x01) as proof of a
% 291.07/291.45 Found (x1 x01) as proof of a
% 295.43/295.79 Found x10:=(x1 x01):a
% 295.43/295.79 Found (x1 x01) as proof of a
% 295.43/295.79 Found (x1 x01) as proof of a
% 295.43/295.79 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 295.43/295.79 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 295.43/295.79 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 295.43/295.79 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 295.43/295.79 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 295.43/295.79 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 295.43/295.79 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 295.43/295.79 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 295.43/295.79 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 295.43/295.79 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 295.43/295.79 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 295.43/295.79 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 295.43/295.79 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 295.43/295.79 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 295.43/295.79 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 295.43/295.79 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 295.43/295.79 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 295.43/295.79 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 295.43/295.79 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 295.43/295.79 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 295.43/295.79 Found x10:=(x1 x00):a
% 295.43/295.79 Found (x1 x00) as proof of a
% 295.43/295.79 Found (x1 x00) as proof of a
% 295.43/295.79 Found x00:=(x0 x10):b
% 295.43/295.79 Found (x0 x10) as proof of b
% 295.43/295.79 Found (x0 x10) as proof of b
% 295.43/295.79 Found x00:=(x0 x10):b
% 295.43/295.79 Found (x0 x10) as proof of b
% 295.43/295.79 Found (x0 x10) as proof of b
% 295.43/295.79 Found x10:=(x1 x00):a
% 295.43/295.79 Found (x1 x00) as proof of a
% 295.43/295.79 Found (x1 x00) as proof of a
% 295.43/295.79 Found x00:=(x0 x11):b
% 295.43/295.79 Found (x0 x11) as proof of b
% 295.43/295.79 Found (x0 x11) as proof of b
% 295.43/295.79 Found x10:=(x1 x00):a
% 295.43/295.79 Found (x1 x00) as proof of a
% 295.43/295.79 Found (x1 x00) as proof of a
% 295.43/295.79 Found x00:=(x0 x10):b
% 295.43/295.79 Found (x0 x10) as proof of b
% 295.43/295.79 Found (x0 x10) as proof of b
% 295.43/295.79 Found x10:=(x1 x01):a
% 295.43/295.79 Found (x1 x01) as proof of a
% 295.43/295.79 Found (x1 x01) as proof of a
% 295.43/295.79 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 295.43/295.79 Found (eq_ref0 a) as proof of (((eq Prop) a) b1)
% 295.43/295.79 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 295.43/295.79 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 295.43/295.79 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b1)
% 295.43/295.79 Found eq_ref00:=(eq_ref0 b1):(((eq Prop) b1) b1)
% 295.43/295.79 Found (eq_ref0 b1) as proof of (((eq Prop) b1) b)
% 295.43/295.79 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 295.43/295.79 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 295.43/295.79 Found ((eq_ref Prop) b1) as proof of (((eq Prop) b1) b)
% 295.43/295.79 Found x20:(P b)
% 295.43/295.79 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 295.43/295.79 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 295.43/295.79 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 295.43/295.79 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 295.43/295.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 295.43/295.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 295.43/295.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 295.43/295.79 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 295.43/295.79 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 295.43/295.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 295.43/295.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 295.43/295.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 295.43/295.79 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 295.43/295.79 Found (eq_ref0 b0) as proof of (((eq Prop) b0) a)
% 295.43/295.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 295.43/295.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 295.43/295.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) a)
% 295.43/295.79 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 295.43/295.79 Found (eq_ref0 a0) as proof of (((eq Prop) a0) b0)
% 295.43/295.79 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 295.43/295.79 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 295.43/295.79 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 295.43/295.79 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 295.43/295.79 Found (eq_ref0 a0) as proof of (((eq Prop) a0) b0)
% 295.43/295.79 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 295.43/295.79 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 295.43/295.79 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 295.43/295.79 Found x20:(P b0)
% 295.43/295.79 Found (fun (x20:(P b0))=> x20) as proof of (P b0)
% 295.43/295.79 Found (fun (x20:(P b0))=> x20) as proof of (P0 b0)
% 295.43/295.79 Found x00:=(x0 x10):b
% 295.43/295.79 Found (x0 x10) as proof of b
% 295.43/295.79 Found (x0 x10) as proof of b
% 295.43/295.79 Found x10:=(x1 x00):a
% 295.43/295.79 Found (x1 x00) as proof of a
% 295.43/295.79 Found (x1 x00) as proof of a
% 295.43/295.79 Found x10:=(x1 x00):a
% 295.43/295.79 Found (x1 x00) as proof o
%------------------------------------------------------------------------------