TSTP Solution File: SYO295^5 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO295^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n024.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 00:51:06 EDT 2022
% Result : Timeout 285.97s 286.41s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO295^5 : TPTP v7.5.0. Released v4.0.0.
% 0.07/0.11 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % RAMPerCPU : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Sat Mar 12 01:32:19 EST 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 1.43/1.59 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 1.43/1.59 FOF formula (<kernel.Constant object at 0x2b3b5dd94320>, <kernel.Constant object at 0x2b3b5dd94488>) of role type named b
% 1.43/1.59 Using role type
% 1.43/1.59 Declaring b:fofType
% 1.43/1.59 FOF formula (<kernel.Constant object at 0x265a440>, <kernel.Single object at 0x2b3b5dd941b8>) of role type named y
% 1.43/1.59 Using role type
% 1.43/1.59 Declaring y:fofType
% 1.43/1.59 FOF formula (<kernel.Constant object at 0x2b3b5dd94560>, <kernel.Single object at 0x2b3b5dd94248>) of role type named a
% 1.43/1.59 Using role type
% 1.43/1.59 Declaring a:fofType
% 1.43/1.59 FOF formula (<kernel.Constant object at 0x2b3b5dd94200>, <kernel.Single object at 0x2b3b5dd94d88>) of role type named x
% 1.43/1.59 Using role type
% 1.43/1.59 Declaring x:fofType
% 1.43/1.59 FOF formula ((not (((eq fofType) x) y))->((ex (fofType->fofType)) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b))))) of role conjecture named cX5311
% 1.43/1.59 Conjecture to prove = ((not (((eq fofType) x) y))->((ex (fofType->fofType)) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b))))):Prop
% 1.43/1.59 We need to prove ['((not (((eq fofType) x) y))->((ex (fofType->fofType)) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b)))))']
% 1.43/1.59 Parameter fofType:Type.
% 1.43/1.59 Parameter b:fofType.
% 1.43/1.59 Parameter y:fofType.
% 1.43/1.59 Parameter a:fofType.
% 1.43/1.59 Parameter x:fofType.
% 1.43/1.59 Trying to prove ((not (((eq fofType) x) y))->((ex (fofType->fofType)) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b)))))
% 1.43/1.59 Found eq_ref00:=(eq_ref0 (x00 x)):(((eq fofType) (x00 x)) (x00 x))
% 1.43/1.59 Found (eq_ref0 (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 1.43/1.59 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 1.43/1.59 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 1.43/1.59 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 1.43/1.59 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 1.43/1.59 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b)
% 1.43/1.59 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b)
% 1.43/1.59 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b)
% 1.43/1.59 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b)
% 1.43/1.59 Found eq_ref00:=(eq_ref0 (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b)))):(((eq ((fofType->fofType)->Prop)) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b)))) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b))))
% 1.43/1.59 Found (eq_ref0 (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b)))) as proof of (((eq ((fofType->fofType)->Prop)) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b)))) b0)
% 1.43/1.59 Found ((eq_ref ((fofType->fofType)->Prop)) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b)))) as proof of (((eq ((fofType->fofType)->Prop)) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b)))) b0)
% 1.43/1.59 Found ((eq_ref ((fofType->fofType)->Prop)) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b)))) as proof of (((eq ((fofType->fofType)->Prop)) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b)))) b0)
% 1.43/1.59 Found ((eq_ref ((fofType->fofType)->Prop)) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b)))) as proof of (((eq ((fofType->fofType)->Prop)) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b)))) b0)
% 1.43/1.59 Found eq_ref00:=(eq_ref0 (f x00)):(((eq Prop) (f x00)) (f x00))
% 1.43/1.59 Found (eq_ref0 (f x00)) as proof of (((eq Prop) (f x00)) ((and (((eq fofType) (x00 x)) a)) (((eq fofType) (x00 y)) b)))
% 1.43/1.59 Found ((eq_ref Prop) (f x00)) as proof of (((eq Prop) (f x00)) ((and (((eq fofType) (x00 x)) a)) (((eq fofType) (x00 y)) b)))
% 1.43/1.59 Found ((eq_ref Prop) (f x00)) as proof of (((eq Prop) (f x00)) ((and (((eq fofType) (x00 x)) a)) (((eq fofType) (x00 y)) b)))
% 3.67/3.84 Found (fun (x00:(fofType->fofType))=> ((eq_ref Prop) (f x00))) as proof of (((eq Prop) (f x00)) ((and (((eq fofType) (x00 x)) a)) (((eq fofType) (x00 y)) b)))
% 3.67/3.84 Found (fun (x00:(fofType->fofType))=> ((eq_ref Prop) (f x00))) as proof of (forall (x0:(fofType->fofType)), (((eq Prop) (f x0)) ((and (((eq fofType) (x0 x)) a)) (((eq fofType) (x0 y)) b))))
% 3.67/3.84 Found eq_ref00:=(eq_ref0 (f x00)):(((eq Prop) (f x00)) (f x00))
% 3.67/3.84 Found (eq_ref0 (f x00)) as proof of (((eq Prop) (f x00)) ((and (((eq fofType) (x00 x)) a)) (((eq fofType) (x00 y)) b)))
% 3.67/3.84 Found ((eq_ref Prop) (f x00)) as proof of (((eq Prop) (f x00)) ((and (((eq fofType) (x00 x)) a)) (((eq fofType) (x00 y)) b)))
% 3.67/3.84 Found ((eq_ref Prop) (f x00)) as proof of (((eq Prop) (f x00)) ((and (((eq fofType) (x00 x)) a)) (((eq fofType) (x00 y)) b)))
% 3.67/3.84 Found (fun (x00:(fofType->fofType))=> ((eq_ref Prop) (f x00))) as proof of (((eq Prop) (f x00)) ((and (((eq fofType) (x00 x)) a)) (((eq fofType) (x00 y)) b)))
% 3.67/3.84 Found (fun (x00:(fofType->fofType))=> ((eq_ref Prop) (f x00))) as proof of (forall (x0:(fofType->fofType)), (((eq Prop) (f x0)) ((and (((eq fofType) (x0 x)) a)) (((eq fofType) (x0 y)) b))))
% 3.67/3.84 Found eq_ref000:=(eq_ref00 P):((P (x00 y))->(P (x00 y)))
% 3.67/3.84 Found (eq_ref00 P) as proof of (P0 (x00 y))
% 3.67/3.84 Found ((eq_ref0 (x00 y)) P) as proof of (P0 (x00 y))
% 3.67/3.84 Found (((eq_ref fofType) (x00 y)) P) as proof of (P0 (x00 y))
% 3.67/3.84 Found (((eq_ref fofType) (x00 y)) P) as proof of (P0 (x00 y))
% 3.67/3.84 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 3.67/3.84 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 3.67/3.84 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 3.67/3.84 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 3.67/3.84 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 3.67/3.84 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 3.67/3.84 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 3.67/3.84 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 3.67/3.84 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 3.67/3.84 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 3.67/3.84 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 3.67/3.84 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 3.67/3.84 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 3.67/3.84 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 3.67/3.84 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 3.67/3.84 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 3.67/3.84 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 3.67/3.84 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 3.67/3.84 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 3.67/3.84 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 3.67/3.84 Found eq_ref00:=(eq_ref0 a0):(((eq ((fofType->fofType)->Prop)) a0) a0)
% 3.67/3.84 Found (eq_ref0 a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 3.67/3.84 Found ((eq_ref ((fofType->fofType)->Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 3.67/3.84 Found ((eq_ref ((fofType->fofType)->Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 3.67/3.84 Found ((eq_ref ((fofType->fofType)->Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 3.67/3.84 Found eta_expansion_dep000:=(eta_expansion_dep00 b0):(((eq ((fofType->fofType)->Prop)) b0) (fun (x:(fofType->fofType))=> (b0 x)))
% 3.67/3.84 Found (eta_expansion_dep00 b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b))))
% 3.67/3.84 Found ((eta_expansion_dep0 (fun (x2:(fofType->fofType))=> Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b))))
% 3.67/3.84 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b))))
% 3.67/3.84 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b))))
% 3.67/3.84 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) (fun (Xf:(fofType->fofType))=> ((and (((eq fofType) (Xf x)) a)) (((eq fofType) (Xf y)) b))))
% 6.08/6.28 Found eq_ref00:=(eq_ref0 (((eq fofType) (x00 y)) b)):(((eq Prop) (((eq fofType) (x00 y)) b)) (((eq fofType) (x00 y)) b))
% 6.08/6.28 Found (eq_ref0 (((eq fofType) (x00 y)) b)) as proof of (((eq Prop) (((eq fofType) (x00 y)) b)) b0)
% 6.08/6.28 Found ((eq_ref Prop) (((eq fofType) (x00 y)) b)) as proof of (((eq Prop) (((eq fofType) (x00 y)) b)) b0)
% 6.08/6.28 Found ((eq_ref Prop) (((eq fofType) (x00 y)) b)) as proof of (((eq Prop) (((eq fofType) (x00 y)) b)) b0)
% 6.08/6.28 Found ((eq_ref Prop) (((eq fofType) (x00 y)) b)) as proof of (((eq Prop) (((eq fofType) (x00 y)) b)) b0)
% 6.08/6.28 Found eq_ref000:=(eq_ref00 P):((P (x00 y))->(P (x00 y)))
% 6.08/6.28 Found (eq_ref00 P) as proof of (P0 (x00 y))
% 6.08/6.28 Found ((eq_ref0 (x00 y)) P) as proof of (P0 (x00 y))
% 6.08/6.28 Found (((eq_ref fofType) (x00 y)) P) as proof of (P0 (x00 y))
% 6.08/6.28 Found (((eq_ref fofType) (x00 y)) P) as proof of (P0 (x00 y))
% 6.08/6.28 Found x1:(P (x00 y))
% 6.08/6.28 Instantiate: b0:=(x00 y):fofType
% 6.08/6.28 Found x1 as proof of (P0 b0)
% 6.08/6.28 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 6.08/6.28 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 6.08/6.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 6.08/6.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 6.08/6.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 6.08/6.28 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 6.08/6.28 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 6.08/6.28 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 6.08/6.28 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 6.08/6.28 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 6.08/6.28 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 6.08/6.28 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 6.08/6.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 6.08/6.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 6.08/6.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 6.08/6.28 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 6.08/6.28 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 6.08/6.28 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 6.08/6.28 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 6.08/6.28 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 6.08/6.28 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 6.08/6.28 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 6.08/6.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 6.08/6.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 6.08/6.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 6.08/6.28 Found eq_ref000:=(eq_ref00 P):((P (x00 y))->(P (x00 y)))
% 6.08/6.28 Found (eq_ref00 P) as proof of (P0 (x00 y))
% 6.08/6.28 Found ((eq_ref0 (x00 y)) P) as proof of (P0 (x00 y))
% 6.08/6.28 Found (((eq_ref fofType) (x00 y)) P) as proof of (P0 (x00 y))
% 6.08/6.28 Found (((eq_ref fofType) (x00 y)) P) as proof of (P0 (x00 y))
% 6.08/6.28 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 6.08/6.28 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 6.08/6.28 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 6.08/6.28 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 6.08/6.28 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 6.08/6.28 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 6.08/6.28 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 6.08/6.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 6.08/6.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 6.08/6.28 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 6.08/6.28 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 6.08/6.28 Found (eq_ref0 b0) as proof of (P b0)
% 6.08/6.28 Found ((eq_ref fofType) b0) as proof of (P b0)
% 6.08/6.28 Found ((eq_ref fofType) b0) as proof of (P b0)
% 6.08/6.28 Found ((eq_ref fofType) b0) as proof of (P b0)
% 6.08/6.28 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 6.08/6.28 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 6.08/6.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 6.08/6.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 6.08/6.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found x1:(P b)
% 9.18/9.33 Instantiate: b0:=b:fofType
% 9.18/9.33 Found x1 as proof of (P0 b0)
% 9.18/9.33 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 9.18/9.33 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 9.18/9.33 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 9.18/9.33 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 9.18/9.33 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 9.18/9.33 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 9.18/9.33 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 9.18/9.33 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 9.18/9.33 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 9.18/9.33 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 9.18/9.33 Found (eq_ref00 P) as proof of (P0 b0)
% 9.18/9.33 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 9.18/9.33 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 9.18/9.33 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 9.18/9.33 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 9.18/9.33 Found (eq_ref00 P) as proof of (P0 b)
% 9.18/9.33 Found ((eq_ref0 b) P) as proof of (P0 b)
% 9.18/9.33 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 9.18/9.33 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 9.18/9.33 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 9.18/9.33 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 9.18/9.33 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 9.18/9.33 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 9.18/9.33 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 9.18/9.33 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 9.18/9.33 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 9.18/9.33 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 9.18/9.33 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 9.18/9.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 13.51/13.69 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 13.51/13.69 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 13.51/13.69 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 13.51/13.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 13.51/13.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 13.51/13.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 13.51/13.69 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 13.51/13.69 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 13.51/13.69 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 13.51/13.69 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 13.51/13.69 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 13.51/13.69 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 13.51/13.69 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 13.51/13.69 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 13.51/13.69 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 13.51/13.69 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 13.51/13.69 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 13.51/13.69 Found (eq_ref00 P) as proof of (P0 b)
% 13.51/13.69 Found ((eq_ref0 b) P) as proof of (P0 b)
% 13.51/13.69 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 13.51/13.69 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 13.51/13.69 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 13.51/13.69 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 13.51/13.69 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 13.51/13.69 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 13.51/13.69 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 13.51/13.69 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 13.51/13.69 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 13.51/13.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 13.51/13.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 13.51/13.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 13.51/13.69 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 13.51/13.69 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 13.51/13.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 13.51/13.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 13.51/13.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 13.51/13.69 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 13.51/13.69 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 13.51/13.69 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 13.51/13.69 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 13.51/13.69 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 13.51/13.69 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 13.51/13.69 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 13.51/13.69 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 13.51/13.69 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 13.51/13.69 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 13.51/13.69 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 13.51/13.69 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 13.51/13.69 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 13.51/13.69 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 13.51/13.69 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 13.51/13.69 Found iff_refl:=(fun (A:Prop)=> ((((conj (A->A)) (A->A)) (fun (H:A)=> H)) (fun (H:A)=> H))):(forall (P:Prop), ((iff P) P))
% 13.51/13.69 Instantiate: b0:=(forall (P:Prop), ((iff P) P)):Prop
% 13.51/13.69 Found iff_refl as proof of b0
% 13.51/13.69 Found eq_ref00:=(eq_ref0 (x00 x)):(((eq fofType) (x00 x)) (x00 x))
% 13.51/13.69 Found (eq_ref0 (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 13.51/13.69 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 13.51/13.69 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 13.51/13.69 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 13.51/13.69 Found ((conj00 ((eq_ref fofType) (x00 x))) iff_refl) as proof of ((and (((eq fofType) (x00 x)) a)) b0)
% 13.51/13.69 Found (((conj0 b0) ((eq_ref fofType) (x00 x))) iff_refl) as proof of ((and (((eq fofType) (x00 x)) a)) b0)
% 13.51/13.69 Found ((((conj (((eq fofType) (x00 x)) a)) b0) ((eq_ref fofType) (x00 x))) iff_refl) as proof of ((and (((eq fofType) (x00 x)) a)) b0)
% 13.51/13.69 Found ((((conj (((eq fofType) (x00 x)) a)) b0) ((eq_ref fofType) (x00 x))) iff_refl) as proof of ((and (((eq fofType) (x00 x)) a)) b0)
% 16.43/16.63 Found ((((conj (((eq fofType) (x00 x)) a)) b0) ((eq_ref fofType) (x00 x))) iff_refl) as proof of (P b0)
% 16.43/16.63 Found x1:(P (x00 y))
% 16.43/16.63 Instantiate: b0:=(x00 y):fofType
% 16.43/16.63 Found x1 as proof of (P0 b0)
% 16.43/16.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 16.43/16.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 16.43/16.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 16.43/16.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 16.43/16.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 16.43/16.63 Found eq_ref00:=(eq_ref0 (x00 x)):(((eq fofType) (x00 x)) (x00 x))
% 16.43/16.63 Found (eq_ref0 (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 16.43/16.63 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 16.43/16.63 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 16.43/16.63 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 16.43/16.63 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 16.43/16.63 Found (eq_ref0 (x00 y)) as proof of b0
% 16.43/16.63 Found ((eq_ref fofType) (x00 y)) as proof of b0
% 16.43/16.63 Found ((eq_ref fofType) (x00 y)) as proof of b0
% 16.43/16.63 Found ((eq_ref fofType) (x00 y)) as proof of b0
% 16.43/16.63 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 16.43/16.63 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 16.43/16.63 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 16.43/16.63 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 16.43/16.63 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 16.43/16.63 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 16.43/16.63 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 16.43/16.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 16.43/16.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 16.43/16.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 16.43/16.63 Found eq_ref000:=(eq_ref00 P):((P (x00 y))->(P (x00 y)))
% 16.43/16.63 Found (eq_ref00 P) as proof of (P0 (x00 y))
% 16.43/16.63 Found ((eq_ref0 (x00 y)) P) as proof of (P0 (x00 y))
% 16.43/16.63 Found (((eq_ref fofType) (x00 y)) P) as proof of (P0 (x00 y))
% 16.43/16.63 Found (((eq_ref fofType) (x00 y)) P) as proof of (P0 (x00 y))
% 16.43/16.63 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 16.43/16.63 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 16.43/16.63 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 16.43/16.63 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 16.43/16.63 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 16.43/16.63 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 16.43/16.63 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 16.43/16.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 16.43/16.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 16.43/16.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 16.43/16.63 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 16.43/16.63 Found (eq_ref0 b0) as proof of (P b0)
% 16.43/16.63 Found ((eq_ref fofType) b0) as proof of (P b0)
% 16.43/16.63 Found ((eq_ref fofType) b0) as proof of (P b0)
% 16.43/16.63 Found ((eq_ref fofType) b0) as proof of (P b0)
% 16.43/16.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 16.43/16.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 16.43/16.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 16.43/16.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 16.43/16.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 16.43/16.63 Found x1:(P b)
% 16.43/16.63 Instantiate: b0:=b:fofType
% 16.43/16.63 Found x1 as proof of (P0 b0)
% 16.43/16.63 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 16.43/16.63 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 16.43/16.63 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 16.43/16.63 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 16.43/16.63 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 16.43/16.63 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 16.43/16.63 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 16.43/16.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 16.43/16.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 16.43/16.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 16.43/16.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 16.43/16.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 16.43/16.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 16.43/16.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 20.98/21.19 Found (eq_ref00 P) as proof of (P0 b0)
% 20.98/21.19 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 20.98/21.19 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 20.98/21.19 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 20.98/21.19 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 20.98/21.19 Found (eq_ref00 P) as proof of (P0 b0)
% 20.98/21.19 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 20.98/21.19 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 20.98/21.19 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 20.98/21.19 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 20.98/21.19 Found (eq_ref00 P) as proof of (P0 b)
% 20.98/21.19 Found ((eq_ref0 b) P) as proof of (P0 b)
% 20.98/21.19 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 20.98/21.19 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 20.98/21.19 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 20.98/21.19 Found (eq_ref00 P) as proof of (P0 b)
% 20.98/21.19 Found ((eq_ref0 b) P) as proof of (P0 b)
% 20.98/21.19 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 20.98/21.19 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 20.98/21.19 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 20.98/21.19 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 20.98/21.19 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 20.98/21.19 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 20.98/21.19 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 20.98/21.19 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 20.98/21.19 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 20.98/21.19 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 20.98/21.19 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 20.98/21.19 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 20.98/21.19 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 20.98/21.19 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 20.98/21.19 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 20.98/21.19 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 20.98/21.19 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 20.98/21.19 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 20.98/21.19 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 20.98/21.19 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 20.98/21.19 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 20.98/21.19 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 20.98/21.19 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 24.79/25.03 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 24.79/25.03 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 24.79/25.03 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 24.79/25.03 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 24.79/25.03 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 24.79/25.03 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 24.79/25.03 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 24.79/25.03 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 24.79/25.03 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 24.79/25.03 Found x1:(P b)
% 24.79/25.03 Instantiate: b0:=b:fofType
% 24.79/25.03 Found x1 as proof of (P0 b0)
% 24.79/25.03 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 24.79/25.03 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 24.79/25.03 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 24.79/25.03 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 24.79/25.03 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 24.79/25.03 Found eta_expansion000:=(eta_expansion00 f):(((eq ((fofType->fofType)->Prop)) f) (fun (x:(fofType->fofType))=> (f x)))
% 24.79/25.03 Found (eta_expansion00 f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 24.79/25.03 Found ((eta_expansion0 Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 24.79/25.03 Found (((eta_expansion (fofType->fofType)) Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 24.79/25.03 Found (((eta_expansion (fofType->fofType)) Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 24.79/25.03 Found (((eta_expansion (fofType->fofType)) Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 24.79/25.03 Found eta_expansion000:=(eta_expansion00 f):(((eq ((fofType->fofType)->Prop)) f) (fun (x:(fofType->fofType))=> (f x)))
% 24.79/25.03 Found (eta_expansion00 f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 24.79/25.03 Found ((eta_expansion0 Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 24.79/25.03 Found (((eta_expansion (fofType->fofType)) Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 24.79/25.03 Found (((eta_expansion (fofType->fofType)) Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 24.79/25.03 Found (((eta_expansion (fofType->fofType)) Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 24.79/25.03 Found eta_expansion000:=(eta_expansion00 f):(((eq ((fofType->fofType)->Prop)) f) (fun (x:(fofType->fofType))=> (f x)))
% 24.79/25.03 Found (eta_expansion00 f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 26.98/27.15 Found ((eta_expansion0 Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 26.98/27.15 Found (((eta_expansion (fofType->fofType)) Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 26.98/27.15 Found (((eta_expansion (fofType->fofType)) Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 26.98/27.15 Found (((eta_expansion (fofType->fofType)) Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 26.98/27.15 Found eta_expansion000:=(eta_expansion00 f):(((eq ((fofType->fofType)->Prop)) f) (fun (x:(fofType->fofType))=> (f x)))
% 26.98/27.15 Found (eta_expansion00 f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 26.98/27.15 Found ((eta_expansion0 Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 26.98/27.15 Found (((eta_expansion (fofType->fofType)) Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 26.98/27.15 Found (((eta_expansion (fofType->fofType)) Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 26.98/27.15 Found (((eta_expansion (fofType->fofType)) Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 26.98/27.15 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 26.98/27.15 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 26.98/27.15 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 26.98/27.15 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 26.98/27.15 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 26.98/27.15 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 26.98/27.15 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 26.98/27.15 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 26.98/27.15 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 26.98/27.15 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 26.98/27.15 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 26.98/27.15 Found (eq_ref0 a0) as proof of (((eq Prop) a0) b0)
% 26.98/27.15 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 26.98/27.15 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 26.98/27.15 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) b0)
% 26.98/27.15 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 26.98/27.15 Found (eq_ref0 b0) as proof of (((eq Prop) b0) (((eq fofType) (x00 y)) b))
% 26.98/27.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq fofType) (x00 y)) b))
% 26.98/27.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq fofType) (x00 y)) b))
% 26.98/27.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) (((eq fofType) (x00 y)) b))
% 26.98/27.15 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 26.98/27.15 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 26.98/27.15 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 26.98/27.15 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 26.98/27.15 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b0 x1))
% 26.98/27.15 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (b0 x)))
% 26.98/27.15 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 26.98/27.15 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 26.98/27.15 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 26.98/27.15 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 26.98/27.15 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b0 x1))
% 26.98/27.15 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (b0 x)))
% 26.98/27.15 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 26.98/27.15 Found (eq_ref00 P) as proof of (P0 b)
% 26.98/27.15 Found ((eq_ref0 b) P) as proof of (P0 b)
% 26.98/27.15 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 26.98/27.15 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 26.98/27.15 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 26.98/27.15 Found (eq_ref00 P) as proof of (P0 b0)
% 26.98/27.15 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 26.98/27.15 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 26.98/27.15 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 26.98/27.15 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 26.98/27.15 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 26.98/27.15 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 26.98/27.15 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 26.98/27.15 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b0 x1))
% 31.59/31.82 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (b0 x)))
% 31.59/31.82 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 31.59/31.82 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 31.59/31.82 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 31.59/31.82 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 31.59/31.82 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b0 x1))
% 31.59/31.82 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (b0 x)))
% 31.59/31.82 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 31.59/31.82 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 31.59/31.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 31.59/31.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 31.59/31.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 31.59/31.82 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 31.59/31.82 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 31.59/31.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 31.59/31.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 31.59/31.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 31.59/31.82 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 31.59/31.82 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 31.59/31.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 31.59/31.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 31.59/31.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 31.59/31.82 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 31.59/31.82 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 31.59/31.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 31.59/31.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 31.59/31.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 31.59/31.82 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 31.59/31.82 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 31.59/31.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 31.59/31.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 31.59/31.82 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 31.59/31.82 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 31.59/31.82 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 31.59/31.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 31.59/31.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 31.59/31.82 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 31.59/31.82 Found eq_ref00:=(eq_ref0 b0):(((eq ((fofType->fofType)->Prop)) b0) b0)
% 31.59/31.82 Found (eq_ref0 b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) b1)
% 31.59/31.82 Found ((eq_ref ((fofType->fofType)->Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) b1)
% 31.59/31.82 Found ((eq_ref ((fofType->fofType)->Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) b1)
% 31.59/31.82 Found ((eq_ref ((fofType->fofType)->Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) b1)
% 31.59/31.82 Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 31.59/31.82 Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 31.59/31.82 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 31.59/31.82 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 31.59/31.82 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 31.59/31.82 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f0 x)) (f x)))
% 31.59/31.82 Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 31.59/31.82 Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 31.59/31.82 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 31.59/31.82 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 31.59/31.82 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 31.59/31.82 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f0 x)) (f x)))
% 31.59/31.82 Found x1:(P (x00 y))
% 31.59/31.82 Instantiate: a0:=(x00 y):fofType
% 31.59/31.82 Found x1 as proof of (P0 a0)
% 31.59/31.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 31.59/31.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 34.60/34.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 34.60/34.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 34.60/34.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 34.60/34.80 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 34.60/34.80 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 34.60/34.80 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 34.60/34.80 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 34.60/34.80 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 34.60/34.80 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 34.60/34.80 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 34.60/34.80 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 34.60/34.80 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 34.60/34.80 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 34.60/34.80 Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 34.60/34.80 Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 34.60/34.80 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 34.60/34.80 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 34.60/34.80 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 34.60/34.80 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f0 x)) (f x)))
% 34.60/34.80 Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 34.60/34.80 Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 34.60/34.80 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 34.60/34.80 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 34.60/34.80 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 34.60/34.80 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f0 x)) (f x)))
% 34.60/34.80 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 34.60/34.80 Found (eq_ref00 P) as proof of (P0 b)
% 34.60/34.80 Found ((eq_ref0 b) P) as proof of (P0 b)
% 34.60/34.80 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 34.60/34.80 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 34.60/34.80 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 34.60/34.80 Found (eq_ref0 b0) as proof of (P1 b0)
% 34.60/34.80 Found ((eq_ref fofType) b0) as proof of (P1 b0)
% 34.60/34.80 Found ((eq_ref fofType) b0) as proof of (P1 b0)
% 34.60/34.80 Found ((eq_ref fofType) b0) as proof of (P1 b0)
% 34.60/34.80 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 34.60/34.80 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 34.60/34.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 34.60/34.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 34.60/34.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 34.60/34.80 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 34.60/34.80 Found (eq_ref0 b0) as proof of (P1 b0)
% 34.60/34.80 Found ((eq_ref fofType) b0) as proof of (P1 b0)
% 34.60/34.80 Found ((eq_ref fofType) b0) as proof of (P1 b0)
% 34.60/34.80 Found ((eq_ref fofType) b0) as proof of (P1 b0)
% 34.60/34.80 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 34.60/34.80 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 34.60/34.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 34.60/34.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 34.60/34.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 34.60/34.80 Found x1:(P1 b)
% 34.60/34.80 Instantiate: b0:=b:fofType
% 34.60/34.80 Found x1 as proof of (P2 b0)
% 34.60/34.80 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 34.60/34.80 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 34.60/34.80 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 34.60/34.80 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 34.60/34.80 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 34.60/34.80 Found x1:(P1 b)
% 34.60/34.80 Instantiate: b0:=b:fofType
% 34.60/34.80 Found x1 as proof of (P2 b0)
% 34.60/34.80 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 34.60/34.80 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 34.60/34.80 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 34.60/34.80 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 34.60/34.80 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 34.60/34.80 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 34.60/34.80 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 34.60/34.80 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 38.79/38.98 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 38.79/38.98 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 38.79/38.98 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 38.79/38.98 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 38.79/38.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 38.79/38.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 38.79/38.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 38.79/38.98 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 38.79/38.98 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 38.79/38.98 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 38.79/38.98 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 38.79/38.98 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 38.79/38.98 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 38.79/38.98 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 38.79/38.98 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 38.79/38.98 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 38.79/38.98 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 38.79/38.98 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 38.79/38.98 Found (eq_ref00 P1) as proof of (P2 b)
% 38.79/38.98 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 38.79/38.98 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 38.79/38.98 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 38.79/38.98 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 38.79/38.98 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 38.79/38.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 38.79/38.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 38.79/38.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 38.79/38.98 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 38.79/38.98 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 38.79/38.98 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 38.79/38.98 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 38.79/38.98 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 38.79/38.98 Found x1:(P b0)
% 38.79/38.98 Instantiate: b00:=b0:fofType
% 38.79/38.98 Found x1 as proof of (P0 b00)
% 38.79/38.98 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 38.79/38.98 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 38.79/38.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 38.79/38.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 38.79/38.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 38.79/38.98 Found x1:(P b)
% 38.79/38.98 Instantiate: a0:=b:fofType
% 38.79/38.98 Found x1 as proof of (P0 a0)
% 38.79/38.98 Found eq_ref000:=(eq_ref00 P0):((P0 b)->(P0 b))
% 38.79/38.98 Found (eq_ref00 P0) as proof of (P1 b)
% 38.79/38.98 Found ((eq_ref0 b) P0) as proof of (P1 b)
% 38.79/38.98 Found (((eq_ref fofType) b) P0) as proof of (P1 b)
% 38.79/38.98 Found (((eq_ref fofType) b) P0) as proof of (P1 b)
% 38.79/38.98 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 38.79/38.98 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 38.79/38.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 38.79/38.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 38.79/38.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 38.79/38.98 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 38.79/38.98 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 38.79/38.98 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 38.79/38.98 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 38.79/38.98 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 38.79/38.98 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 38.79/38.98 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 38.79/38.98 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 38.79/38.98 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 38.79/38.98 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 38.79/38.98 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 38.79/38.98 Found (eq_ref00 P1) as proof of (P2 b0)
% 38.79/38.98 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 38.79/38.98 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 38.79/38.98 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 38.79/38.98 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 38.79/38.98 Found (eq_ref00 P1) as proof of (P2 b0)
% 38.79/38.98 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 38.79/38.98 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 38.79/38.98 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 38.79/38.98 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 38.79/38.98 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 38.79/38.98 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 41.46/41.66 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 41.46/41.66 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 41.46/41.66 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 41.46/41.66 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 41.46/41.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 41.46/41.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 41.46/41.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 41.46/41.66 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 41.46/41.66 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 41.46/41.66 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 41.46/41.66 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 41.46/41.66 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 41.46/41.66 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 41.46/41.66 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 41.46/41.66 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 41.46/41.66 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 41.46/41.66 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 41.46/41.66 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 41.46/41.66 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 41.46/41.66 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 41.46/41.66 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 41.46/41.66 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 41.46/41.66 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 41.46/41.66 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 41.46/41.66 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 41.46/41.66 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 41.46/41.66 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 41.46/41.66 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 41.46/41.66 Found (eq_ref00 P1) as proof of (P2 b)
% 41.46/41.66 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 41.46/41.66 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 41.46/41.66 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 41.46/41.66 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 41.46/41.66 Found (eq_ref00 P1) as proof of (P2 b)
% 41.46/41.66 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 41.46/41.66 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 41.46/41.66 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 41.46/41.66 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 41.46/41.66 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 41.46/41.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 41.46/41.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 41.46/41.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 41.46/41.66 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 41.46/41.66 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 41.46/41.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 41.46/41.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 41.46/41.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 41.46/41.66 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 41.46/41.66 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 41.46/41.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 41.46/41.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 41.46/41.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 41.46/41.66 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 41.46/41.66 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 41.46/41.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 41.46/41.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 41.46/41.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 41.46/41.66 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 41.46/41.66 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 41.46/41.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 41.46/41.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 41.46/41.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 41.46/41.66 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 41.46/41.66 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 41.46/41.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 41.46/41.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 41.46/41.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 41.46/41.66 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 41.46/41.66 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 43.99/44.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.99/44.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.99/44.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 43.99/44.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 43.99/44.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 43.99/44.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 43.99/44.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 43.99/44.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 43.99/44.21 Found x1:(P b0)
% 43.99/44.21 Found x1 as proof of (P0 (x00 y))
% 43.99/44.21 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 43.99/44.21 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 43.99/44.21 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 43.99/44.21 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 43.99/44.21 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 43.99/44.21 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 43.99/44.21 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 43.99/44.21 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 43.99/44.21 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 43.99/44.21 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 43.99/44.21 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 43.99/44.21 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 43.99/44.21 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 43.99/44.21 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 43.99/44.21 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 43.99/44.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 43.99/44.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 43.99/44.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 43.99/44.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 43.99/44.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 43.99/44.21 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 43.99/44.21 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 43.99/44.21 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 43.99/44.21 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 43.99/44.21 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 43.99/44.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 43.99/44.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 43.99/44.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 43.99/44.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 43.99/44.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 43.99/44.21 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 43.99/44.21 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 43.99/44.21 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 43.99/44.21 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 43.99/44.21 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 43.99/44.21 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 43.99/44.21 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 43.99/44.21 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 43.99/44.21 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 43.99/44.21 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 43.99/44.21 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 43.99/44.21 Found (eq_ref0 b00) as proof of (P b00)
% 43.99/44.21 Found ((eq_ref fofType) b00) as proof of (P b00)
% 43.99/44.21 Found ((eq_ref fofType) b00) as proof of (P b00)
% 43.99/44.21 Found ((eq_ref fofType) b00) as proof of (P b00)
% 43.99/44.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 43.99/44.21 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 43.99/44.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 43.99/44.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 43.99/44.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 43.99/44.21 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 43.99/44.21 Found (eq_ref0 b00) as proof of (P b00)
% 43.99/44.21 Found ((eq_ref fofType) b00) as proof of (P b00)
% 43.99/44.21 Found ((eq_ref fofType) b00) as proof of (P b00)
% 43.99/44.21 Found ((eq_ref fofType) b00) as proof of (P b00)
% 43.99/44.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 43.99/44.21 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 43.99/44.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 43.99/44.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 43.99/44.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 48.74/48.96 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 48.74/48.96 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 48.74/48.96 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 48.74/48.96 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 48.74/48.96 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 48.74/48.96 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 48.74/48.96 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 48.74/48.96 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 48.74/48.96 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 48.74/48.96 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 48.74/48.96 Found x1:(P b)
% 48.74/48.96 Instantiate: b1:=b:fofType
% 48.74/48.96 Found x1 as proof of (P0 b1)
% 48.74/48.96 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 48.74/48.96 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 48.74/48.96 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 48.74/48.96 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 48.74/48.96 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 48.74/48.96 Found x1:(P b)
% 48.74/48.96 Instantiate: b1:=b:fofType
% 48.74/48.96 Found x1 as proof of (P0 b1)
% 48.74/48.96 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 48.74/48.96 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 48.74/48.96 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 48.74/48.96 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 48.74/48.96 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 48.74/48.96 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 48.74/48.96 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 48.74/48.96 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 48.74/48.96 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 48.74/48.96 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 48.74/48.96 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 48.74/48.96 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 48.74/48.96 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 48.74/48.96 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 48.74/48.96 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 48.74/48.96 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 48.74/48.96 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 48.74/48.96 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 48.74/48.96 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 48.74/48.96 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 48.74/48.96 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 48.74/48.96 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 48.74/48.96 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 48.74/48.96 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 48.74/48.96 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 48.74/48.96 Found eq_ref00:=(eq_ref0 (x1 y)):(((eq fofType) (x1 y)) (x1 y))
% 48.74/48.96 Found (eq_ref0 (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 48.74/48.96 Found ((eq_ref fofType) (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 48.74/48.96 Found ((eq_ref fofType) (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 48.74/48.96 Found ((eq_ref fofType) (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 48.74/48.96 Found eq_ref00:=(eq_ref0 (x1 x)):(((eq fofType) (x1 x)) (x1 x))
% 48.74/48.96 Found (eq_ref0 (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 48.74/48.96 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 48.74/48.96 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 48.74/48.96 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 48.74/48.96 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 48.74/48.96 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 48.74/48.96 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 48.74/48.96 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 48.74/48.96 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 48.74/48.96 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 48.74/48.96 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 48.74/48.96 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 48.74/48.96 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 48.74/48.96 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 48.74/48.96 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 48.74/48.96 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 48.74/48.96 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 48.74/48.96 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 52.49/52.72 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 52.49/52.72 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 52.49/52.72 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 52.49/52.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 52.49/52.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 52.49/52.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 52.49/52.72 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 52.49/52.72 Found (eq_ref00 P1) as proof of (P2 b0)
% 52.49/52.72 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 52.49/52.72 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 52.49/52.72 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 52.49/52.72 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 52.49/52.72 Found (eq_ref00 P1) as proof of (P2 b0)
% 52.49/52.72 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 52.49/52.72 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 52.49/52.72 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 52.49/52.72 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 52.49/52.72 Found (eq_ref00 P1) as proof of (P2 b)
% 52.49/52.72 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 52.49/52.72 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 52.49/52.72 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 52.49/52.72 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 52.49/52.72 Found (eq_ref00 P1) as proof of (P2 b)
% 52.49/52.72 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 52.49/52.72 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 52.49/52.72 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 52.49/52.72 Found eq_ref000:=(eq_ref00 P):((P b00)->(P b00))
% 52.49/52.72 Found (eq_ref00 P) as proof of (P0 b00)
% 52.49/52.72 Found ((eq_ref0 b00) P) as proof of (P0 b00)
% 52.49/52.72 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 52.49/52.72 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 52.49/52.72 Found eq_ref00:=(eq_ref0 (x1 x)):(((eq fofType) (x1 x)) (x1 x))
% 52.49/52.72 Found (eq_ref0 (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 52.49/52.72 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 52.49/52.72 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 52.49/52.72 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 52.49/52.72 Found eq_ref00:=(eq_ref0 (x1 y)):(((eq fofType) (x1 y)) (x1 y))
% 52.49/52.72 Found (eq_ref0 (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 52.49/52.72 Found ((eq_ref fofType) (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 52.49/52.72 Found ((eq_ref fofType) (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 52.49/52.72 Found ((eq_ref fofType) (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 52.49/52.72 Found eq_ref00:=(eq_ref0 (x1 y)):(((eq fofType) (x1 y)) (x1 y))
% 52.49/52.72 Found (eq_ref0 (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 52.49/52.72 Found ((eq_ref fofType) (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 52.49/52.72 Found ((eq_ref fofType) (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 52.49/52.72 Found ((eq_ref fofType) (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 52.49/52.72 Found eq_ref00:=(eq_ref0 (x1 x)):(((eq fofType) (x1 x)) (x1 x))
% 52.49/52.72 Found (eq_ref0 (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 52.49/52.72 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 52.49/52.72 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 52.49/52.72 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 52.49/52.72 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 52.49/52.72 Found (eq_ref0 (x00 y)) as proof of (P (x00 y))
% 52.49/52.72 Found ((eq_ref fofType) (x00 y)) as proof of (P (x00 y))
% 52.49/52.72 Found ((eq_ref fofType) (x00 y)) as proof of (P (x00 y))
% 52.49/52.72 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 52.49/52.72 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 52.49/52.72 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 52.49/52.72 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 52.49/52.72 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 52.49/52.72 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 52.49/52.72 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 52.49/52.72 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 52.49/52.72 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 52.49/52.72 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 52.49/52.72 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 52.49/52.72 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 52.49/52.72 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 52.49/52.72 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 52.49/52.72 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 54.89/55.11 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 54.89/55.11 Found (eq_ref0 b01) as proof of (((eq fofType) b01) b)
% 54.89/55.11 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 54.89/55.11 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 54.89/55.11 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 54.89/55.11 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 54.89/55.11 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 54.89/55.11 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 54.89/55.11 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 54.89/55.11 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 54.89/55.11 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 54.89/55.11 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 54.89/55.11 Found (eq_ref00 P) as proof of (P0 b)
% 54.89/55.11 Found ((eq_ref0 b) P) as proof of (P0 b)
% 54.89/55.11 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 54.89/55.11 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 54.89/55.11 Found x1:(P b)
% 54.89/55.11 Found x1 as proof of (P0 b)
% 54.89/55.11 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 54.89/55.11 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 54.89/55.11 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 54.89/55.11 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 54.89/55.11 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 54.89/55.11 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 54.89/55.11 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 54.89/55.11 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 54.89/55.11 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 54.89/55.11 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 54.89/55.11 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 54.89/55.11 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 54.89/55.11 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 54.89/55.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 59.24/59.43 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 59.24/59.43 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 59.24/59.43 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 59.24/59.43 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 59.24/59.43 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 59.24/59.43 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 59.24/59.43 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 59.24/59.43 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 59.24/59.43 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 59.24/59.43 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 59.24/59.43 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 59.24/59.43 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 59.24/59.43 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 59.24/59.43 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 59.24/59.43 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 59.24/59.43 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 59.24/59.43 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 59.24/59.43 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 59.24/59.43 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 59.24/59.43 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found x1:(P b0)
% 59.24/59.43 Instantiate: b00:=b0:fofType
% 59.24/59.43 Found x1 as proof of (P0 b00)
% 59.24/59.43 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 59.24/59.43 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 59.24/59.43 Found (eq_ref0 b1) as proof of (P b1)
% 59.24/59.43 Found ((eq_ref fofType) b1) as proof of (P b1)
% 59.24/59.43 Found ((eq_ref fofType) b1) as proof of (P b1)
% 59.24/59.43 Found ((eq_ref fofType) b1) as proof of (P b1)
% 59.24/59.43 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 59.24/59.43 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 59.24/59.43 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 59.24/59.43 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 59.24/59.43 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 59.24/59.43 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 59.24/59.43 Found (eq_ref0 b0) as proof of (P b00)
% 59.24/59.43 Found ((eq_ref fofType) b0) as proof of (P b00)
% 59.24/59.43 Found ((eq_ref fofType) b0) as proof of (P b00)
% 59.24/59.43 Found ((eq_ref fofType) b0) as proof of (P b00)
% 59.24/59.43 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 59.24/59.43 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 59.24/59.43 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 59.24/59.43 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 59.24/59.43 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 59.24/59.43 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 59.24/59.43 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 59.24/59.43 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 59.24/59.43 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 59.24/59.43 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 59.24/59.43 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 59.24/59.43 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 59.24/59.43 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 59.24/59.43 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 59.24/59.43 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 65.15/65.37 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 65.15/65.37 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 65.15/65.37 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 65.15/65.37 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 65.15/65.37 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 65.15/65.37 Found (eq_ref00 P) as proof of (P0 b0)
% 65.15/65.37 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 65.15/65.37 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 65.15/65.37 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 65.15/65.37 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 65.15/65.37 Found (eq_ref00 P) as proof of (P0 b)
% 65.15/65.37 Found ((eq_ref0 b) P) as proof of (P0 b)
% 65.15/65.37 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 65.15/65.37 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 65.15/65.37 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 65.15/65.37 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 65.15/65.37 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 65.15/65.37 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 65.15/65.37 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 65.15/65.37 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 65.15/65.37 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 65.15/65.37 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 65.15/65.37 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 65.15/65.37 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 65.15/65.37 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 65.15/65.37 Found (eq_ref00 P) as proof of (P0 b)
% 65.15/65.37 Found ((eq_ref0 b) P) as proof of (P0 b)
% 65.15/65.37 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 65.15/65.37 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 65.15/65.37 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 65.15/65.37 Found (eq_ref0 b) as proof of (((eq fofType) b) b000)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b000)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b000)
% 65.15/65.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b000)
% 65.15/65.37 Found eq_ref00:=(eq_ref0 b000):(((eq fofType) b000) b000)
% 65.15/65.37 Found (eq_ref0 b000) as proof of (((eq fofType) b000) b0)
% 65.15/65.37 Found ((eq_ref fofType) b000) as proof of (((eq fofType) b000) b0)
% 65.15/65.37 Found ((eq_ref fofType) b000) as proof of (((eq fofType) b000) b0)
% 65.15/65.37 Found ((eq_ref fofType) b000) as proof of (((eq fofType) b000) b0)
% 71.26/71.52 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 71.26/71.52 Found (eq_ref0 b) as proof of (P b)
% 71.26/71.52 Found ((eq_ref fofType) b) as proof of (P b)
% 71.26/71.52 Found ((eq_ref fofType) b) as proof of (P b)
% 71.26/71.52 Found x1:(P b)
% 71.26/71.52 Instantiate: b0:=b:fofType
% 71.26/71.52 Found x1 as proof of (P0 b0)
% 71.26/71.52 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 71.26/71.52 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 71.26/71.52 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 71.26/71.52 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 71.26/71.52 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 71.26/71.52 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 71.26/71.52 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 71.26/71.52 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 71.26/71.52 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 71.26/71.52 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 71.26/71.52 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 71.26/71.52 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 71.26/71.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 71.26/71.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 71.26/71.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 71.26/71.52 Found eq_ref000:=(eq_ref00 P):((P b00)->(P b00))
% 71.26/71.52 Found (eq_ref00 P) as proof of (P0 b00)
% 71.26/71.52 Found ((eq_ref0 b00) P) as proof of (P0 b00)
% 71.26/71.52 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 71.26/71.52 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 71.26/71.52 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 71.26/71.52 Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% 71.26/71.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 71.26/71.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 71.26/71.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 71.26/71.52 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 71.26/71.52 Found (eq_ref0 b01) as proof of (((eq fofType) b01) (x00 y))
% 71.26/71.52 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 71.26/71.52 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 71.26/71.52 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 71.26/71.52 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 71.26/71.52 Found (eq_ref00 P) as proof of (P0 b0)
% 71.26/71.52 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 71.26/71.52 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 71.26/71.52 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 71.26/71.52 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 71.26/71.52 Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% 71.26/71.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 71.26/71.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 71.26/71.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 71.26/71.52 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 71.26/71.52 Found (eq_ref0 b01) as proof of (((eq fofType) b01) b00)
% 71.26/71.52 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b00)
% 71.26/71.52 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b00)
% 71.26/71.52 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b00)
% 71.26/71.52 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 71.26/71.52 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 71.26/71.52 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 71.26/71.53 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 71.26/71.53 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 71.26/71.53 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 71.26/71.53 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 71.26/71.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 71.26/71.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 71.26/71.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 71.26/71.53 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 71.26/71.53 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 71.26/71.53 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 71.26/71.53 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 71.26/71.53 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 71.26/71.53 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 71.26/71.53 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 71.26/71.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 71.26/71.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 71.26/71.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 71.26/71.53 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 73.07/73.32 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 73.07/73.32 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 73.07/73.32 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 73.07/73.32 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 73.07/73.32 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 73.07/73.32 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 73.07/73.32 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 73.07/73.32 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 73.07/73.32 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 73.07/73.32 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 73.07/73.32 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 73.07/73.32 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 73.07/73.32 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 73.07/73.32 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 73.07/73.32 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 73.07/73.32 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 73.07/73.32 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 73.07/73.32 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 73.07/73.32 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 73.07/73.32 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 73.07/73.32 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 73.07/73.32 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 73.07/73.32 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 73.07/73.32 Found eq_ref00:=(eq_ref0 f):(((eq ((fofType->fofType)->Prop)) f) f)
% 73.07/73.32 Found (eq_ref0 f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 73.07/73.32 Found ((eq_ref ((fofType->fofType)->Prop)) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 73.07/73.32 Found ((eq_ref ((fofType->fofType)->Prop)) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 73.07/73.32 Found ((eq_ref ((fofType->fofType)->Prop)) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 73.07/73.32 Found eta_expansion_dep000:=(eta_expansion_dep00 f):(((eq ((fofType->fofType)->Prop)) f) (fun (x:(fofType->fofType))=> (f x)))
% 77.01/77.23 Found (eta_expansion_dep00 f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 77.01/77.23 Found ((eta_expansion_dep0 (fun (x2:(fofType->fofType))=> Prop)) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 77.01/77.23 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 77.01/77.23 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 77.01/77.23 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 77.01/77.23 Found eta_expansion_dep000:=(eta_expansion_dep00 f):(((eq ((fofType->fofType)->Prop)) f) (fun (x:(fofType->fofType))=> (f x)))
% 77.01/77.23 Found (eta_expansion_dep00 f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 77.01/77.23 Found ((eta_expansion_dep0 (fun (x2:(fofType->fofType))=> Prop)) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 77.01/77.23 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 77.01/77.23 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 77.01/77.23 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 77.01/77.23 Found eta_expansion000:=(eta_expansion00 f):(((eq ((fofType->fofType)->Prop)) f) (fun (x:(fofType->fofType))=> (f x)))
% 77.01/77.23 Found (eta_expansion00 f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 77.01/77.23 Found ((eta_expansion0 Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 77.01/77.23 Found (((eta_expansion (fofType->fofType)) Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 77.01/77.23 Found (((eta_expansion (fofType->fofType)) Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 77.01/77.23 Found (((eta_expansion (fofType->fofType)) Prop) f) as proof of (((eq ((fofType->fofType)->Prop)) f) b0)
% 77.01/77.23 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 77.01/77.23 Found (eq_ref00 P) as proof of (P0 b)
% 77.01/77.23 Found ((eq_ref0 b) P) as proof of (P0 b)
% 77.01/77.23 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 77.01/77.23 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 77.01/77.23 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 77.01/77.23 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 77.01/77.23 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 77.01/77.23 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 77.01/77.23 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b0 x1))
% 77.01/77.23 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (b0 x)))
% 77.01/77.23 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 77.01/77.23 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 77.01/77.23 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 77.01/77.23 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 77.01/77.23 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b0 x1))
% 77.01/77.23 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (b0 x)))
% 77.01/77.23 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 77.01/77.23 Found (eq_ref0 b01) as proof of (((eq fofType) b01) (x00 y))
% 77.01/77.23 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 77.01/77.23 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 77.01/77.23 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 77.01/77.23 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 77.01/77.23 Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% 77.01/77.23 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 77.01/77.23 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 77.01/77.23 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 77.01/77.23 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 77.01/77.23 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 77.01/77.23 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 79.16/79.39 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 79.16/79.39 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b0 x1))
% 79.16/79.39 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (b0 x)))
% 79.16/79.39 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 79.16/79.39 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 79.16/79.39 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 79.16/79.39 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 79.16/79.39 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b0 x1))
% 79.16/79.39 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (b0 x)))
% 79.16/79.39 Found eq_sym:=(fun (T:Type) (a:T) (b:T) (H:(((eq T) a) b))=> ((H (fun (x:T)=> (((eq T) x) a))) ((eq_ref T) a))):(forall (T:Type) (a:T) (b:T), ((((eq T) a) b)->(((eq T) b) a)))
% 79.16/79.39 Instantiate: a0:=(forall (T:Type) (a:T) (b:T), ((((eq T) a) b)->(((eq T) b) a))):Prop
% 79.16/79.39 Found eq_sym as proof of a0
% 79.16/79.39 Found eq_ref00:=(eq_ref0 (x00 x)):(((eq fofType) (x00 x)) (x00 x))
% 79.16/79.39 Found (eq_ref0 (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 79.16/79.39 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 79.16/79.39 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 79.16/79.39 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 79.16/79.39 Found ((conj00 ((eq_ref fofType) (x00 x))) eq_sym) as proof of ((and (((eq fofType) (x00 x)) a)) a0)
% 79.16/79.39 Found (((conj0 a0) ((eq_ref fofType) (x00 x))) eq_sym) as proof of ((and (((eq fofType) (x00 x)) a)) a0)
% 79.16/79.39 Found ((((conj (((eq fofType) (x00 x)) a)) a0) ((eq_ref fofType) (x00 x))) eq_sym) as proof of ((and (((eq fofType) (x00 x)) a)) a0)
% 79.16/79.39 Found ((((conj (((eq fofType) (x00 x)) a)) a0) ((eq_ref fofType) (x00 x))) eq_sym) as proof of ((and (((eq fofType) (x00 x)) a)) a0)
% 79.16/79.39 Found ((((conj (((eq fofType) (x00 x)) a)) a0) ((eq_ref fofType) (x00 x))) eq_sym) as proof of (P a0)
% 79.16/79.39 Found x0:(not (((eq fofType) x) y))
% 79.16/79.39 Instantiate: b0:=((((eq fofType) x) y)->False):Prop
% 79.16/79.39 Found x0 as proof of a0
% 79.16/79.39 Found eq_ref00:=(eq_ref0 (x00 x)):(((eq fofType) (x00 x)) (x00 x))
% 79.16/79.39 Found (eq_ref0 (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 79.16/79.39 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 79.16/79.39 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 79.16/79.39 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 79.16/79.39 Found ((conj00 ((eq_ref fofType) (x00 x))) x0) as proof of ((and (((eq fofType) (x00 x)) a)) a0)
% 79.16/79.39 Found (((conj0 a0) ((eq_ref fofType) (x00 x))) x0) as proof of ((and (((eq fofType) (x00 x)) a)) a0)
% 79.16/79.39 Found ((((conj (((eq fofType) (x00 x)) a)) a0) ((eq_ref fofType) (x00 x))) x0) as proof of ((and (((eq fofType) (x00 x)) a)) a0)
% 79.16/79.39 Found ((((conj (((eq fofType) (x00 x)) a)) a0) ((eq_ref fofType) (x00 x))) x0) as proof of ((and (((eq fofType) (x00 x)) a)) a0)
% 79.16/79.39 Found ((((conj (((eq fofType) (x00 x)) a)) a0) ((eq_ref fofType) (x00 x))) x0) as proof of (P a0)
% 79.16/79.39 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 79.16/79.39 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 79.16/79.39 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 79.16/79.39 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 79.16/79.39 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 79.16/79.39 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 79.16/79.39 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 79.16/79.39 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 79.16/79.39 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 79.16/79.39 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 79.16/79.39 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 79.16/79.39 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 79.16/79.39 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 79.16/79.39 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 79.16/79.39 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 79.16/79.39 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 79.16/79.39 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 79.16/79.39 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 84.74/84.98 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 84.74/84.98 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 84.74/84.98 Found eq_ref00:=(eq_ref0 b10):(((eq fofType) b10) b10)
% 84.74/84.98 Found (eq_ref0 b10) as proof of (((eq fofType) b10) b)
% 84.74/84.98 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b)
% 84.74/84.98 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b)
% 84.74/84.98 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b)
% 84.74/84.98 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 84.74/84.98 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b10)
% 84.74/84.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b10)
% 84.74/84.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b10)
% 84.74/84.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b10)
% 84.74/84.98 Found eq_ref00:=(eq_ref0 (x00 x)):(((eq fofType) (x00 x)) (x00 x))
% 84.74/84.98 Found (eq_ref0 (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 84.74/84.98 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 84.74/84.98 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 84.74/84.98 Found ((eq_ref fofType) (x00 x)) as proof of (((eq fofType) (x00 x)) a)
% 84.74/84.98 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 84.74/84.98 Found (eq_ref0 (x00 y)) as proof of a0
% 84.74/84.98 Found ((eq_ref fofType) (x00 y)) as proof of a0
% 84.74/84.98 Found ((eq_ref fofType) (x00 y)) as proof of a0
% 84.74/84.98 Found ((eq_ref fofType) (x00 y)) as proof of a0
% 84.74/84.98 Found eq_ref00:=(eq_ref0 b0):(((eq ((fofType->fofType)->Prop)) b0) b0)
% 84.74/84.98 Found (eq_ref0 b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) b1)
% 84.74/84.98 Found ((eq_ref ((fofType->fofType)->Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) b1)
% 84.74/84.98 Found ((eq_ref ((fofType->fofType)->Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) b1)
% 84.74/84.98 Found ((eq_ref ((fofType->fofType)->Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) b1)
% 84.74/84.98 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 84.74/84.98 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 84.74/84.98 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 84.74/84.98 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 84.74/84.98 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 84.74/84.98 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 84.74/84.98 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b1)
% 84.74/84.98 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% 84.74/84.98 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% 84.74/84.98 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% 84.74/84.98 Found x1:(P (x00 y))
% 84.74/84.98 Instantiate: a0:=(x00 y):fofType
% 84.74/84.98 Found x1 as proof of (P0 a0)
% 84.74/84.98 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 84.74/84.98 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 84.74/84.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 84.74/84.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 84.74/84.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 84.74/84.98 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 84.74/84.98 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 84.74/84.98 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 84.74/84.98 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 84.74/84.98 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 84.74/84.98 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 84.74/84.98 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 84.74/84.98 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 84.74/84.98 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 84.74/84.98 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 84.74/84.98 Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 84.74/84.98 Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 84.74/84.98 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 84.74/84.98 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 84.74/84.98 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 84.74/84.98 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f0 x)) (f x)))
% 84.74/84.98 Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 84.74/84.98 Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 84.74/84.98 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 84.74/84.98 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 88.65/88.91 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 88.65/88.91 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f0 x)) (f x)))
% 88.65/88.91 Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 88.65/88.91 Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 88.65/88.91 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 88.65/88.91 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 88.65/88.91 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 88.65/88.91 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f0 x)) (f x)))
% 88.65/88.91 Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 88.65/88.91 Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 88.65/88.91 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 88.65/88.91 Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 88.65/88.91 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 88.65/88.91 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f0 x)) (f x)))
% 88.65/88.91 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 88.65/88.91 Found (eq_ref00 P) as proof of (P0 b)
% 88.65/88.91 Found ((eq_ref0 b) P) as proof of (P0 b)
% 88.65/88.91 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 88.65/88.91 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 88.65/88.91 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 88.65/88.91 Found (eq_ref00 P) as proof of (P0 b0)
% 88.65/88.91 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 88.65/88.91 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 88.65/88.91 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 88.65/88.91 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 88.65/88.91 Found (eq_ref0 b0) as proof of (P1 b0)
% 88.65/88.91 Found ((eq_ref fofType) b0) as proof of (P1 b0)
% 88.65/88.91 Found ((eq_ref fofType) b0) as proof of (P1 b0)
% 88.65/88.91 Found ((eq_ref fofType) b0) as proof of (P1 b0)
% 88.65/88.91 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 88.65/88.91 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 88.65/88.91 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 88.65/88.91 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 88.65/88.91 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 88.65/88.91 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 88.65/88.91 Found (eq_ref0 b0) as proof of (P1 b0)
% 88.65/88.91 Found ((eq_ref fofType) b0) as proof of (P1 b0)
% 88.65/88.91 Found ((eq_ref fofType) b0) as proof of (P1 b0)
% 88.65/88.91 Found ((eq_ref fofType) b0) as proof of (P1 b0)
% 88.65/88.91 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 88.65/88.91 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 88.65/88.91 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 88.65/88.91 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 88.65/88.91 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 88.65/88.91 Found x1:(P1 b)
% 88.65/88.91 Instantiate: b0:=b:fofType
% 88.65/88.91 Found x1 as proof of (P2 b0)
% 88.65/88.91 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 88.65/88.91 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 88.65/88.91 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 88.65/88.91 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 88.65/88.91 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 88.65/88.91 Found x1:(P1 b)
% 88.65/88.91 Instantiate: b0:=b:fofType
% 88.65/88.91 Found x1 as proof of (P2 b0)
% 88.65/88.91 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 88.65/88.91 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 88.65/88.91 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 88.65/88.91 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 88.65/88.91 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 88.65/88.91 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 88.65/88.91 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 88.65/88.91 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 88.65/88.91 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 88.65/88.91 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 88.65/88.91 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 88.65/88.91 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 88.65/88.91 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 88.65/88.91 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 95.69/95.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 95.69/95.92 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 95.69/95.92 Found (eq_ref00 P1) as proof of (P2 b)
% 95.69/95.92 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 95.69/95.92 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 95.69/95.92 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 95.69/95.92 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 95.69/95.92 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 95.69/95.92 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 95.69/95.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 95.69/95.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 95.69/95.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 95.69/95.92 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 95.69/95.92 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 95.69/95.92 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 95.69/95.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 95.69/95.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 95.69/95.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 95.69/95.92 Found eq_ref000:=(eq_ref00 P0):((P0 (x00 y))->(P0 (x00 y)))
% 95.69/95.92 Found (eq_ref00 P0) as proof of (P1 (x00 y))
% 95.69/95.92 Found ((eq_ref0 (x00 y)) P0) as proof of (P1 (x00 y))
% 95.69/95.92 Found (((eq_ref fofType) (x00 y)) P0) as proof of (P1 (x00 y))
% 95.69/95.92 Found (((eq_ref fofType) (x00 y)) P0) as proof of (P1 (x00 y))
% 95.69/95.92 Found x1:(P b0)
% 95.69/95.92 Instantiate: b00:=b0:fofType
% 95.69/95.92 Found x1 as proof of (P0 b00)
% 95.69/95.92 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 95.69/95.92 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found x1:(P b0)
% 95.69/95.92 Instantiate: b00:=b0:fofType
% 95.69/95.92 Found x1 as proof of (P0 b00)
% 95.69/95.92 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 95.69/95.92 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 95.69/95.92 Found x1:(P b)
% 95.69/95.92 Instantiate: a0:=b:fofType
% 95.69/95.92 Found x1 as proof of (P0 a0)
% 95.69/95.92 Found x1:(P b)
% 95.69/95.92 Instantiate: a0:=b:fofType
% 95.69/95.92 Found x1 as proof of (P0 a0)
% 95.69/95.92 Found eq_ref000:=(eq_ref00 P0):((P0 b)->(P0 b))
% 95.69/95.92 Found (eq_ref00 P0) as proof of (P1 b)
% 95.69/95.92 Found ((eq_ref0 b) P0) as proof of (P1 b)
% 95.69/95.92 Found (((eq_ref fofType) b) P0) as proof of (P1 b)
% 95.69/95.92 Found (((eq_ref fofType) b) P0) as proof of (P1 b)
% 95.69/95.92 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 95.69/95.92 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 95.69/95.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 95.69/95.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 95.69/95.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 95.69/95.92 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 95.69/95.92 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 95.69/95.92 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 95.69/95.92 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 95.69/95.92 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 95.69/95.92 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 95.69/95.92 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 95.69/95.92 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 95.69/95.92 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 95.69/95.92 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 95.69/95.92 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 95.69/95.92 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 95.69/95.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 95.69/95.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 95.69/95.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 100.94/101.20 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 100.94/101.20 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 100.94/101.20 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 100.94/101.20 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 100.94/101.20 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 100.94/101.20 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 100.94/101.20 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 100.94/101.20 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 100.94/101.20 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 100.94/101.20 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 100.94/101.20 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 100.94/101.20 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 100.94/101.20 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 100.94/101.20 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 100.94/101.20 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 100.94/101.20 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 100.94/101.20 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 100.94/101.20 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 100.94/101.20 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 100.94/101.20 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 100.94/101.20 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 100.94/101.20 Found (eq_ref00 P1) as proof of (P2 b0)
% 100.94/101.20 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 100.94/101.20 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 100.94/101.20 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 100.94/101.20 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 100.94/101.20 Found (eq_ref00 P1) as proof of (P2 b0)
% 100.94/101.20 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 100.94/101.20 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 100.94/101.20 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 100.94/101.20 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 100.94/101.20 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 100.94/101.20 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 100.94/101.20 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 100.94/101.20 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 100.94/101.20 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 100.94/101.20 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 100.94/101.20 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 100.94/101.20 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 100.94/101.20 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 100.94/101.20 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 100.94/101.20 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 100.94/101.20 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 100.94/101.20 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 100.94/101.20 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 100.94/101.20 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 100.94/101.20 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 100.94/101.20 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 100.94/101.20 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 100.94/101.20 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 100.94/101.20 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 100.94/101.20 Found (eq_ref00 P1) as proof of (P2 b0)
% 100.94/101.20 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 100.94/101.20 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 100.94/101.20 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 100.94/101.20 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 100.94/101.20 Found (eq_ref00 P1) as proof of (P2 b0)
% 100.94/101.20 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 100.94/101.20 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 100.94/101.20 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 100.94/101.20 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 100.94/101.20 Found (eq_ref0 b01) as proof of (((eq fofType) b01) b)
% 100.94/101.20 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 100.94/101.20 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 100.94/101.20 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 100.94/101.20 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 100.94/101.20 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 100.94/101.20 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 100.94/101.20 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 100.94/101.20 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 100.94/101.20 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 103.19/103.46 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 103.19/103.46 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 103.19/103.46 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 103.19/103.46 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 103.19/103.46 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 103.19/103.46 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 103.19/103.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 103.19/103.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 103.19/103.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 103.19/103.46 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 103.19/103.46 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 103.19/103.46 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 103.19/103.46 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 103.19/103.46 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 103.19/103.46 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 103.19/103.46 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 103.19/103.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 103.19/103.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 103.19/103.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 103.19/103.46 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 103.19/103.46 Found (eq_ref00 P1) as proof of (P2 b)
% 103.19/103.46 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 103.19/103.46 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 103.19/103.46 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 103.19/103.46 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 103.19/103.46 Found (eq_ref00 P1) as proof of (P2 b)
% 103.19/103.46 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 103.19/103.46 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 103.19/103.46 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 103.19/103.46 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 103.19/103.46 Found (eq_ref00 P1) as proof of (P2 b)
% 103.19/103.46 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 103.19/103.46 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 103.19/103.46 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 103.19/103.46 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 103.19/103.46 Found (eq_ref00 P1) as proof of (P2 b)
% 103.19/103.46 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 103.19/103.46 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 103.19/103.46 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 103.19/103.46 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 103.19/103.46 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 103.19/103.46 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 103.19/103.46 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 103.19/103.46 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 103.19/103.46 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 103.19/103.46 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 103.19/103.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 103.19/103.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 103.19/103.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 103.19/103.46 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 103.19/103.46 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 103.19/103.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 103.19/103.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 103.19/103.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 103.19/103.46 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 103.19/103.46 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 103.19/103.46 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 103.19/103.46 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 103.19/103.46 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 103.19/103.46 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 103.19/103.46 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 103.19/103.46 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 103.19/103.46 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 103.19/103.46 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 103.19/103.46 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 103.19/103.46 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 103.19/103.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 103.19/103.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 103.19/103.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 103.19/103.46 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 103.19/103.46 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 106.22/106.49 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 106.22/106.49 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 106.22/106.49 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 106.22/106.49 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 106.22/106.49 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 106.22/106.49 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 106.22/106.49 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 106.22/106.49 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 106.22/106.49 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 106.22/106.49 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 106.22/106.49 Found x1:(P b0)
% 106.22/106.49 Found x1 as proof of (P0 (x00 y))
% 106.22/106.49 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 106.22/106.49 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 106.22/106.49 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 106.22/106.49 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 106.22/106.49 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 106.22/106.49 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 106.22/106.49 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 106.22/106.49 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 106.22/106.49 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 106.22/106.49 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 106.22/106.49 Found x1:(P1 b)
% 106.22/106.49 Instantiate: b0:=b:fofType
% 106.22/106.49 Found x1 as proof of (P2 b0)
% 106.22/106.49 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 106.22/106.49 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 106.22/106.49 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 106.22/106.49 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 106.22/106.49 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 106.22/106.49 Found x1:(P1 b)
% 106.22/106.49 Instantiate: b0:=b:fofType
% 106.22/106.49 Found x1 as proof of (P2 b0)
% 108.52/108.77 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 108.52/108.77 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 108.52/108.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 108.52/108.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 108.52/108.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 108.52/108.77 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 108.52/108.77 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 108.52/108.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 108.52/108.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 108.52/108.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 108.52/108.77 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 108.52/108.77 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 108.52/108.77 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 108.52/108.77 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 108.52/108.77 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 108.52/108.77 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 108.52/108.77 Found (eq_ref0 b00) as proof of (P b00)
% 108.52/108.77 Found ((eq_ref fofType) b00) as proof of (P b00)
% 108.52/108.77 Found ((eq_ref fofType) b00) as proof of (P b00)
% 108.52/108.77 Found ((eq_ref fofType) b00) as proof of (P b00)
% 108.52/108.77 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 108.52/108.77 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 108.52/108.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 108.52/108.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 108.52/108.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 108.52/108.77 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 108.52/108.77 Found (eq_ref0 b00) as proof of (P b00)
% 108.52/108.77 Found ((eq_ref fofType) b00) as proof of (P b00)
% 108.52/108.77 Found ((eq_ref fofType) b00) as proof of (P b00)
% 108.52/108.77 Found ((eq_ref fofType) b00) as proof of (P b00)
% 108.52/108.77 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 108.52/108.77 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 108.52/108.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 108.52/108.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 108.52/108.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 108.52/108.77 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 108.52/108.77 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 108.52/108.77 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 108.52/108.77 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 108.52/108.77 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 108.52/108.77 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 108.52/108.77 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 108.52/108.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 108.52/108.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 108.52/108.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 108.52/108.77 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 108.52/108.77 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 108.52/108.77 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 108.52/108.77 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 108.52/108.77 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 108.52/108.77 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 108.52/108.77 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 108.52/108.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 108.52/108.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 108.52/108.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 108.52/108.77 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 108.52/108.77 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 108.52/108.77 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 108.52/108.77 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 108.52/108.77 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 108.52/108.77 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 108.52/108.77 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 108.52/108.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 108.52/108.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 108.52/108.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 108.52/108.77 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 108.52/108.77 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 108.52/108.77 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 116.51/116.77 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 116.51/116.77 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 116.51/116.77 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 116.51/116.77 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 116.51/116.77 Found (eq_ref0 b00) as proof of (P b00)
% 116.51/116.77 Found ((eq_ref fofType) b00) as proof of (P b00)
% 116.51/116.77 Found ((eq_ref fofType) b00) as proof of (P b00)
% 116.51/116.77 Found ((eq_ref fofType) b00) as proof of (P b00)
% 116.51/116.77 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 116.51/116.77 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 116.51/116.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 116.51/116.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 116.51/116.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 116.51/116.77 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 116.51/116.77 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 116.51/116.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 116.51/116.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 116.51/116.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 116.51/116.77 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 116.51/116.77 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 116.51/116.77 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 116.51/116.77 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 116.51/116.77 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 116.51/116.77 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 116.51/116.77 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 116.51/116.77 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 116.51/116.77 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 116.51/116.77 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 116.51/116.77 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 116.51/116.77 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 116.51/116.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 116.51/116.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 116.51/116.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 116.51/116.77 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 116.51/116.77 Found (eq_ref00 P1) as proof of (P2 b)
% 116.51/116.77 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 116.51/116.77 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 116.51/116.77 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 116.51/116.77 Found x1:(P b)
% 116.51/116.77 Instantiate: b1:=b:fofType
% 116.51/116.77 Found x1 as proof of (P0 b1)
% 116.51/116.77 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 116.51/116.77 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found x1:(P b)
% 116.51/116.77 Instantiate: b1:=b:fofType
% 116.51/116.77 Found x1 as proof of (P0 b1)
% 116.51/116.77 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 116.51/116.77 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found x1:(P b0)
% 116.51/116.77 Instantiate: b1:=b0:fofType
% 116.51/116.77 Found x1 as proof of (P0 b1)
% 116.51/116.77 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 116.51/116.77 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 116.51/116.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 116.51/116.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 116.51/116.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 116.51/116.77 Found x1:(P b)
% 116.51/116.77 Instantiate: b1:=b:fofType
% 116.51/116.77 Found x1 as proof of (P0 b1)
% 116.51/116.77 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 116.51/116.77 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 116.51/116.77 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 116.51/116.77 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 116.51/116.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 116.51/116.77 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 121.41/121.70 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 121.41/121.70 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 121.41/121.70 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 121.41/121.70 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 121.41/121.70 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 121.41/121.70 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 121.41/121.70 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 121.41/121.70 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 121.41/121.70 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 121.41/121.70 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 121.41/121.70 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 121.41/121.70 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found x1:(P b0)
% 121.41/121.70 Found x1 as proof of (P0 b)
% 121.41/121.70 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 121.41/121.70 Found (eq_ref0 b00) as proof of (P b00)
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (P b00)
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (P b00)
% 121.41/121.70 Found ((eq_ref fofType) b00) as proof of (P b00)
% 121.41/121.70 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 121.41/121.70 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 121.41/121.70 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 123.03/123.29 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 123.03/123.29 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 123.03/123.29 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 123.03/123.29 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 123.03/123.29 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 123.03/123.29 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 123.03/123.29 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 123.03/123.29 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 123.03/123.29 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 123.03/123.29 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 123.03/123.29 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 123.03/123.29 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 123.03/123.29 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 123.03/123.29 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 123.03/123.29 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 123.03/123.29 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 123.03/123.29 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 123.03/123.29 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 123.03/123.29 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 123.03/123.29 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 123.03/123.29 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 123.03/123.29 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 123.03/123.29 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 123.03/123.29 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 123.03/123.29 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 123.03/123.29 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 123.03/123.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 123.03/123.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 123.03/123.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 123.03/123.29 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 123.03/123.29 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 123.03/123.29 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 123.03/123.29 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 123.03/123.29 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 123.03/123.29 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 123.03/123.29 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 123.03/123.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 123.03/123.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 123.03/123.29 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 123.03/123.29 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 123.03/123.29 Found (eq_ref00 P1) as proof of (P2 b0)
% 123.03/123.29 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 123.03/123.29 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 123.03/123.29 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 123.03/123.29 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 123.03/123.29 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 123.03/123.29 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 123.03/123.29 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 123.03/123.29 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 123.03/123.29 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 123.03/123.29 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 123.03/123.29 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 123.03/123.29 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 123.03/123.29 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 123.03/123.29 Found eq_ref000:=(eq_ref00 P0):((P0 b)->(P0 b))
% 123.03/123.29 Found (eq_ref00 P0) as proof of (P1 b)
% 123.03/123.29 Found ((eq_ref0 b) P0) as proof of (P1 b)
% 123.03/123.29 Found (((eq_ref fofType) b) P0) as proof of (P1 b)
% 123.03/123.29 Found (((eq_ref fofType) b) P0) as proof of (P1 b)
% 123.03/123.29 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 123.03/123.29 Found (eq_ref00 P1) as proof of (P2 b0)
% 123.03/123.29 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 123.03/123.29 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 123.03/123.29 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 123.03/123.29 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 123.03/123.29 Found (eq_ref00 P1) as proof of (P2 b0)
% 123.03/123.29 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 123.03/123.29 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 123.03/123.29 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 123.03/123.29 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 123.03/123.29 Found (eq_ref00 P1) as proof of (P2 b0)
% 130.44/130.71 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 130.44/130.71 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 130.44/130.71 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 130.44/130.71 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 130.44/130.71 Found (eq_ref00 P1) as proof of (P2 b0)
% 130.44/130.71 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 130.44/130.71 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 130.44/130.71 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 130.44/130.71 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 130.44/130.71 Found (eq_ref00 P1) as proof of (P2 b)
% 130.44/130.71 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 130.44/130.71 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 130.44/130.71 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 130.44/130.71 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 130.44/130.71 Found (eq_ref00 P1) as proof of (P2 b0)
% 130.44/130.71 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 130.44/130.71 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 130.44/130.71 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 130.44/130.71 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 130.44/130.71 Found (eq_ref00 P1) as proof of (P2 b)
% 130.44/130.71 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 130.44/130.71 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 130.44/130.71 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 130.44/130.71 Found eq_ref000:=(eq_ref00 P):((P b00)->(P b00))
% 130.44/130.71 Found (eq_ref00 P) as proof of (P0 b00)
% 130.44/130.71 Found ((eq_ref0 b00) P) as proof of (P0 b00)
% 130.44/130.71 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 130.44/130.71 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 130.44/130.71 Found eq_ref000:=(eq_ref00 P):((P b00)->(P b00))
% 130.44/130.71 Found (eq_ref00 P) as proof of (P0 b00)
% 130.44/130.71 Found ((eq_ref0 b00) P) as proof of (P0 b00)
% 130.44/130.71 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 130.44/130.71 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 130.44/130.71 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 130.44/130.71 Found (eq_ref0 (x00 y)) as proof of (P (x00 y))
% 130.44/130.71 Found ((eq_ref fofType) (x00 y)) as proof of (P (x00 y))
% 130.44/130.71 Found ((eq_ref fofType) (x00 y)) as proof of (P (x00 y))
% 130.44/130.71 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 130.44/130.71 Found (eq_ref0 (x00 y)) as proof of (P (x00 y))
% 130.44/130.71 Found ((eq_ref fofType) (x00 y)) as proof of (P (x00 y))
% 130.44/130.71 Found ((eq_ref fofType) (x00 y)) as proof of (P (x00 y))
% 130.44/130.71 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 130.44/130.71 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 130.44/130.71 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 130.44/130.71 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 130.44/130.71 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 130.44/130.71 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 130.44/130.71 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 130.44/130.71 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 130.44/130.71 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 130.44/130.71 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 130.44/130.71 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 130.44/130.71 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 130.44/130.71 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 130.44/130.71 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 130.44/130.71 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 130.44/130.71 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 130.44/130.71 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 130.44/130.71 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 130.44/130.71 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 130.44/130.71 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 130.44/130.71 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 130.44/130.71 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 130.44/130.71 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 130.44/130.71 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 130.44/130.71 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 130.44/130.71 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 130.44/130.71 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 130.44/130.71 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 130.44/130.71 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 130.44/130.71 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 130.44/130.71 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 130.44/130.71 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 135.00/135.30 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 135.00/135.30 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 135.00/135.30 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 135.00/135.30 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 135.00/135.30 Found (eq_ref0 b01) as proof of (((eq fofType) b01) b)
% 135.00/135.30 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 135.00/135.30 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 135.00/135.30 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 135.00/135.30 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 135.00/135.30 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 135.00/135.30 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 135.00/135.30 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 135.00/135.30 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 135.00/135.30 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 135.00/135.30 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 135.00/135.30 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 135.00/135.30 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 135.00/135.30 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 135.00/135.30 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 135.00/135.30 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 135.00/135.30 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 135.00/135.30 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 135.00/135.30 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 135.00/135.30 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 135.00/135.30 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 135.00/135.30 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 135.00/135.30 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 135.00/135.30 Found (eq_ref00 P) as proof of (P0 b)
% 135.00/135.30 Found ((eq_ref0 b) P) as proof of (P0 b)
% 135.00/135.30 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 135.00/135.30 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 135.00/135.30 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 135.00/135.30 Found (eq_ref00 P) as proof of (P0 b)
% 135.00/135.30 Found ((eq_ref0 b) P) as proof of (P0 b)
% 135.00/135.30 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 135.00/135.30 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 135.00/135.30 Found x1:(P b)
% 135.00/135.30 Found x1 as proof of (P0 b)
% 135.00/135.30 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 135.00/135.30 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 135.00/135.30 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 135.00/135.30 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 135.00/135.30 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 135.00/135.30 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 135.00/135.30 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 135.00/135.30 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 135.00/135.30 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 135.00/135.30 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 135.00/135.30 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 135.00/135.30 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 135.00/135.30 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 135.00/135.30 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 136.20/136.46 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 136.20/136.46 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 136.20/136.46 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 136.20/136.46 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 136.20/136.46 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 136.20/136.46 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 136.20/136.46 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 136.20/136.46 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 136.20/136.46 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 136.20/136.46 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 136.20/136.46 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 136.20/136.46 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 136.20/136.46 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 136.20/136.46 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 136.20/136.46 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 136.20/136.46 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 139.30/139.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 139.30/139.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 139.30/139.63 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 139.30/139.63 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 139.30/139.63 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 139.30/139.63 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 139.30/139.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 139.30/139.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 139.30/139.63 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 139.30/139.63 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 139.30/139.63 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 139.30/139.63 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 139.30/139.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 139.30/139.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 139.30/139.63 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 139.30/139.63 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 139.30/139.63 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 139.30/139.63 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 139.30/139.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 139.30/139.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 139.30/139.63 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 139.30/139.63 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 139.30/139.63 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 139.30/139.63 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 139.30/139.63 Found x1:(P b0)
% 139.30/139.63 Instantiate: b00:=b0:fofType
% 139.30/139.63 Found x1 as proof of (P0 b00)
% 139.30/139.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 139.30/139.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 139.30/139.63 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 139.30/139.63 Found (eq_ref0 b1) as proof of (P b1)
% 139.30/139.63 Found ((eq_ref fofType) b1) as proof of (P b1)
% 139.30/139.63 Found ((eq_ref fofType) b1) as proof of (P b1)
% 139.30/139.63 Found ((eq_ref fofType) b1) as proof of (P b1)
% 139.30/139.63 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 139.30/139.63 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 139.30/139.63 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 139.30/139.63 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 139.30/139.63 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 139.30/139.63 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 139.30/139.63 Found (eq_ref0 b1) as proof of (P b1)
% 139.30/139.63 Found ((eq_ref fofType) b1) as proof of (P b1)
% 139.30/139.63 Found ((eq_ref fofType) b1) as proof of (P b1)
% 139.30/139.63 Found ((eq_ref fofType) b1) as proof of (P b1)
% 139.30/139.63 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 139.30/139.63 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 139.30/139.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 139.30/139.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 139.30/139.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 139.30/139.63 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 139.30/139.63 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 139.30/139.63 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 139.30/139.63 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 145.29/145.60 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 145.29/145.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 145.29/145.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 145.29/145.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 145.29/145.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 145.29/145.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 145.29/145.60 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 145.29/145.60 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 145.29/145.60 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 145.29/145.60 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 145.29/145.60 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 145.29/145.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 145.29/145.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 145.29/145.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 145.29/145.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 145.29/145.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 145.29/145.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 145.29/145.60 Found (eq_ref0 b0) as proof of (P b00)
% 145.29/145.60 Found ((eq_ref fofType) b0) as proof of (P b00)
% 145.29/145.60 Found ((eq_ref fofType) b0) as proof of (P b00)
% 145.29/145.60 Found ((eq_ref fofType) b0) as proof of (P b00)
% 145.29/145.60 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 145.29/145.60 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 145.29/145.60 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 145.29/145.60 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 145.29/145.60 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 145.29/145.60 Found x1:(P b0)
% 145.29/145.60 Found x1 as proof of (P0 (x00 y))
% 145.29/145.60 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 145.29/145.60 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 145.29/145.60 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 145.29/145.60 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 145.29/145.60 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 145.29/145.60 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 145.29/145.60 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 145.29/145.60 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 145.29/145.60 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 145.29/145.60 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 145.29/145.60 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 145.29/145.60 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 145.29/145.60 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 145.29/145.60 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 145.29/145.60 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 145.29/145.60 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 145.29/145.60 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 145.29/145.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 145.29/145.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 145.29/145.60 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 145.29/145.60 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 145.29/145.60 Found (eq_ref00 P) as proof of (P0 b)
% 145.29/145.60 Found ((eq_ref0 b) P) as proof of (P0 b)
% 145.29/145.60 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 145.29/145.60 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 145.29/145.60 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 145.29/145.60 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 145.29/145.60 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 145.29/145.60 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 145.29/145.60 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 145.29/145.60 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 145.29/145.60 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 145.29/145.60 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 145.29/145.60 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 145.29/145.60 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 145.29/145.60 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 145.29/145.60 Found (eq_ref0 b) as proof of (P b)
% 145.29/145.60 Found ((eq_ref fofType) b) as proof of (P b)
% 145.29/145.60 Found ((eq_ref fofType) b) as proof of (P b)
% 145.29/145.60 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 145.29/145.60 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 145.29/145.60 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 145.29/145.60 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 145.29/145.60 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 154.89/155.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 154.89/155.21 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 154.89/155.21 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 154.89/155.21 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 154.89/155.21 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 154.89/155.21 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 154.89/155.21 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 154.89/155.21 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 154.89/155.21 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 154.89/155.21 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 154.89/155.21 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 154.89/155.21 Found x1:(P b)
% 154.89/155.21 Instantiate: b1:=b:fofType
% 154.89/155.21 Found x1 as proof of (P0 b1)
% 154.89/155.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 154.89/155.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 154.89/155.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 154.89/155.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 154.89/155.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 154.89/155.21 Found x1:(P b)
% 154.89/155.21 Instantiate: b1:=b:fofType
% 154.89/155.21 Found x1 as proof of (P0 b1)
% 154.89/155.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 154.89/155.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 154.89/155.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 154.89/155.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 154.89/155.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 154.89/155.21 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 154.89/155.21 Found (eq_ref0 b01) as proof of (((eq fofType) b01) (x00 y))
% 154.89/155.21 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 154.89/155.21 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 154.89/155.21 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 154.89/155.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 154.89/155.21 Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% 154.89/155.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 154.89/155.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 154.89/155.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 154.89/155.21 Found x1:(P (x00 y))
% 154.89/155.21 Instantiate: b00:=(x00 y):fofType
% 154.89/155.21 Found x1 as proof of (P0 b00)
% 154.89/155.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 154.89/155.21 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found x1:(P b0)
% 154.89/155.21 Instantiate: b00:=b0:fofType
% 154.89/155.21 Found x1 as proof of (P0 b00)
% 154.89/155.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 154.89/155.21 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 154.89/155.21 Found (eq_ref0 (x00 y)) as proof of (P b00)
% 154.89/155.21 Found ((eq_ref fofType) (x00 y)) as proof of (P b00)
% 154.89/155.21 Found ((eq_ref fofType) (x00 y)) as proof of (P b00)
% 154.89/155.21 Found ((eq_ref fofType) (x00 y)) as proof of (P b00)
% 154.89/155.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 154.89/155.21 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 154.89/155.21 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 154.89/155.21 Found (eq_ref00 P) as proof of (P0 b)
% 154.89/155.21 Found ((eq_ref0 b) P) as proof of (P0 b)
% 154.89/155.21 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 154.89/155.21 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 154.89/155.21 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 154.89/155.21 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 154.89/155.21 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 154.89/155.21 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 154.89/155.21 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 161.89/162.21 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 161.89/162.21 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 161.89/162.21 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 161.89/162.21 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 161.89/162.21 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 161.89/162.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 161.89/162.21 Found (eq_ref0 b) as proof of (((eq fofType) b) b000)
% 161.89/162.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b000)
% 161.89/162.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b000)
% 161.89/162.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b000)
% 161.89/162.21 Found eq_ref00:=(eq_ref0 b000):(((eq fofType) b000) b000)
% 161.89/162.21 Found (eq_ref0 b000) as proof of (((eq fofType) b000) b0)
% 161.89/162.21 Found ((eq_ref fofType) b000) as proof of (((eq fofType) b000) b0)
% 161.89/162.21 Found ((eq_ref fofType) b000) as proof of (((eq fofType) b000) b0)
% 161.89/162.21 Found ((eq_ref fofType) b000) as proof of (((eq fofType) b000) b0)
% 161.89/162.21 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 161.89/162.21 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 161.89/162.21 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 161.89/162.21 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 161.89/162.21 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 161.89/162.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 161.89/162.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 161.89/162.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 161.89/162.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 161.89/162.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 161.89/162.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 161.89/162.21 Found (eq_ref0 b) as proof of (((eq fofType) b) b000)
% 161.89/162.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b000)
% 161.89/162.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b000)
% 161.89/162.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b000)
% 161.89/162.21 Found eq_ref00:=(eq_ref0 b000):(((eq fofType) b000) b000)
% 161.89/162.21 Found (eq_ref0 b000) as proof of (((eq fofType) b000) b0)
% 161.89/162.21 Found ((eq_ref fofType) b000) as proof of (((eq fofType) b000) b0)
% 161.89/162.21 Found ((eq_ref fofType) b000) as proof of (((eq fofType) b000) b0)
% 161.89/162.21 Found ((eq_ref fofType) b000) as proof of (((eq fofType) b000) b0)
% 161.89/162.21 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 161.89/162.21 Found (eq_ref00 P1) as proof of (P2 b0)
% 161.89/162.21 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 161.89/162.21 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 161.89/162.21 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 161.89/162.21 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 161.89/162.21 Found (eq_ref00 P1) as proof of (P2 b0)
% 161.89/162.21 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 161.89/162.21 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 161.89/162.21 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 161.89/162.21 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 161.89/162.21 Found (eq_ref00 P1) as proof of (P2 b)
% 161.89/162.21 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 161.89/162.21 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 161.89/162.21 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 161.89/162.21 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 161.89/162.21 Found (eq_ref00 P1) as proof of (P2 b)
% 161.89/162.21 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 161.89/162.21 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 161.89/162.21 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 161.89/162.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 161.89/162.21 Found (eq_ref0 b) as proof of (P b)
% 161.89/162.21 Found ((eq_ref fofType) b) as proof of (P b)
% 161.89/162.21 Found ((eq_ref fofType) b) as proof of (P b)
% 161.89/162.21 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 161.89/162.21 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 161.89/162.21 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 161.89/162.21 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 161.89/162.21 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 161.89/162.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 161.89/162.21 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 161.89/162.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 161.89/162.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 161.89/162.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 161.89/162.21 Found eq_ref000:=(eq_ref00 P):((P b00)->(P b00))
% 161.89/162.21 Found (eq_ref00 P) as proof of (P0 b00)
% 161.89/162.21 Found ((eq_ref0 b00) P) as proof of (P0 b00)
% 161.89/162.21 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 169.21/169.53 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 169.21/169.53 Found eq_ref000:=(eq_ref00 P):((P b00)->(P b00))
% 169.21/169.53 Found (eq_ref00 P) as proof of (P0 b00)
% 169.21/169.53 Found ((eq_ref0 b00) P) as proof of (P0 b00)
% 169.21/169.53 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 169.21/169.53 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 169.21/169.53 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 169.21/169.53 Found (eq_ref0 b01) as proof of (((eq fofType) b01) (x00 y))
% 169.21/169.53 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 169.21/169.53 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 169.21/169.53 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 169.21/169.53 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 169.21/169.53 Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% 169.21/169.53 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 169.21/169.53 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 169.21/169.53 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 169.21/169.53 Found eq_ref000:=(eq_ref00 P):((P (x00 y))->(P (x00 y)))
% 169.21/169.53 Found (eq_ref00 P) as proof of (P0 (x00 y))
% 169.21/169.53 Found ((eq_ref0 (x00 y)) P) as proof of (P0 (x00 y))
% 169.21/169.53 Found (((eq_ref fofType) (x00 y)) P) as proof of (P0 (x00 y))
% 169.21/169.53 Found (((eq_ref fofType) (x00 y)) P) as proof of (P0 (x00 y))
% 169.21/169.53 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 169.21/169.53 Found (eq_ref00 P) as proof of (P0 b0)
% 169.21/169.53 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 169.21/169.53 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 169.21/169.53 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 169.21/169.53 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 169.21/169.53 Found (eq_ref00 P) as proof of (P0 b)
% 169.21/169.53 Found ((eq_ref0 b) P) as proof of (P0 b)
% 169.21/169.53 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 169.21/169.53 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 169.21/169.53 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 169.21/169.53 Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% 169.21/169.53 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 169.21/169.53 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 169.21/169.53 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 169.21/169.53 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 169.21/169.53 Found (eq_ref0 b01) as proof of (((eq fofType) b01) b00)
% 169.21/169.53 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b00)
% 169.21/169.53 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b00)
% 169.21/169.53 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b00)
% 169.21/169.53 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 169.21/169.53 Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% 169.21/169.53 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 169.21/169.53 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 169.21/169.53 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 169.21/169.53 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 169.21/169.53 Found (eq_ref0 b01) as proof of (((eq fofType) b01) b00)
% 169.21/169.53 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b00)
% 169.21/169.53 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b00)
% 169.21/169.53 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b00)
% 169.21/169.53 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 169.21/169.53 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 169.21/169.53 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 169.21/169.53 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 169.21/169.53 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 169.21/169.53 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 169.21/169.53 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 169.21/169.53 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 169.21/169.53 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 169.21/169.53 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 169.21/169.53 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 169.21/169.53 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 169.21/169.53 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 169.21/169.53 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 169.21/169.53 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 169.21/169.53 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 169.21/169.53 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 169.21/169.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 169.21/169.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 169.21/169.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 169.21/169.53 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 170.46/170.81 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 170.46/170.81 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 170.46/170.81 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 170.46/170.81 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 170.46/170.81 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 170.46/170.81 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 170.46/170.81 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 170.46/170.81 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 170.46/170.81 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 170.46/170.81 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 170.46/170.81 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 170.46/170.81 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 170.46/170.81 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 170.46/170.81 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 170.46/170.81 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 170.46/170.81 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 170.46/170.81 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 170.46/170.81 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 170.46/170.81 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 170.46/170.81 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 170.46/170.81 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 170.46/170.81 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 171.89/172.23 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 171.89/172.23 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 171.89/172.23 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 171.89/172.23 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 171.89/172.23 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 171.89/172.23 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 171.89/172.23 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 171.89/172.23 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 171.89/172.23 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 171.89/172.23 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 171.89/172.23 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 171.89/172.23 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 171.89/172.23 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 171.89/172.23 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 171.89/172.23 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 171.89/172.23 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 171.89/172.23 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 171.89/172.23 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 171.89/172.23 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 171.89/172.23 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 171.89/172.23 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 171.89/172.23 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 171.89/172.23 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 171.89/172.23 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 171.89/172.23 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 171.89/172.23 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 171.89/172.23 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 171.89/172.23 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 171.89/172.23 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 171.89/172.23 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 174.27/174.56 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 174.27/174.56 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 174.27/174.56 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 174.27/174.56 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 174.27/174.56 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 174.27/174.56 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 174.27/174.56 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 174.27/174.56 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 174.27/174.56 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 174.27/174.56 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 174.27/174.56 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 174.27/174.56 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 174.27/174.56 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 174.27/174.56 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 174.27/174.56 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 174.27/174.56 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 174.27/174.56 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 174.27/174.56 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 174.27/174.56 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 174.27/174.56 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 174.27/174.56 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 174.27/174.56 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 174.27/174.56 Found eta_expansion_dep000:=(eta_expansion_dep00 a0):(((eq ((fofType->fofType)->Prop)) a0) (fun (x:(fofType->fofType))=> (a0 x)))
% 178.03/178.36 Found (eta_expansion_dep00 a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 178.03/178.36 Found ((eta_expansion_dep0 (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 178.03/178.36 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 178.03/178.36 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 178.03/178.36 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 178.03/178.36 Found x1:(P b0)
% 178.03/178.36 Instantiate: b00:=b0:fofType
% 178.03/178.36 Found x1 as proof of (P0 b00)
% 178.03/178.36 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 178.03/178.36 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 178.03/178.36 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 178.03/178.36 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 178.03/178.36 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 178.03/178.36 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 178.03/178.36 Found (eq_ref0 b1) as proof of (P b1)
% 178.03/178.36 Found ((eq_ref fofType) b1) as proof of (P b1)
% 178.03/178.36 Found ((eq_ref fofType) b1) as proof of (P b1)
% 178.03/178.36 Found ((eq_ref fofType) b1) as proof of (P b1)
% 178.03/178.36 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 178.03/178.36 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 178.03/178.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 178.03/178.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 178.03/178.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 178.03/178.36 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 178.03/178.36 Found (eq_ref0 b0) as proof of (P b00)
% 178.03/178.36 Found ((eq_ref fofType) b0) as proof of (P b00)
% 178.03/178.36 Found ((eq_ref fofType) b0) as proof of (P b00)
% 178.03/178.36 Found ((eq_ref fofType) b0) as proof of (P b00)
% 178.03/178.36 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 178.03/178.36 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 178.03/178.36 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 178.03/178.36 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 178.03/178.36 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 178.03/178.36 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 178.03/178.36 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 178.03/178.36 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 178.03/178.36 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 178.03/178.36 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 178.03/178.36 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 178.03/178.36 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 178.03/178.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 178.03/178.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 178.03/178.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 178.03/178.36 Found x1:(P b)
% 178.03/178.36 Found x1 as proof of (P0 b)
% 178.03/178.36 Found eta_expansion_dep000:=(eta_expansion_dep00 a0):(((eq ((fofType->fofType)->Prop)) a0) (fun (x:(fofType->fofType))=> (a0 x)))
% 178.03/178.36 Found (eta_expansion_dep00 a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 178.03/178.36 Found ((eta_expansion_dep0 (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 178.03/178.36 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 178.03/178.36 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 178.03/178.36 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 178.03/178.36 Found eq_ref00:=(eq_ref0 a0):(((eq ((fofType->fofType)->Prop)) a0) a0)
% 178.03/178.36 Found (eq_ref0 a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 178.03/178.36 Found ((eq_ref ((fofType->fofType)->Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 178.03/178.36 Found ((eq_ref ((fofType->fofType)->Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 178.03/178.36 Found ((eq_ref ((fofType->fofType)->Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 178.03/178.36 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 178.03/178.36 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 183.72/184.02 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 183.72/184.02 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 183.72/184.02 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 183.72/184.02 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 183.72/184.02 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 183.72/184.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 183.72/184.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 183.72/184.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 183.72/184.02 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 183.72/184.02 Found (eq_ref0 b01) as proof of (((eq fofType) b01) (x00 y))
% 183.72/184.02 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 183.72/184.02 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 183.72/184.02 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 183.72/184.02 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 183.72/184.02 Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% 183.72/184.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 183.72/184.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 183.72/184.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 183.72/184.02 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 183.72/184.02 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 183.72/184.02 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 183.72/184.02 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 183.72/184.02 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a0 x1))
% 183.72/184.02 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (a0 x)))
% 183.72/184.02 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 183.72/184.02 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 183.72/184.02 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 183.72/184.02 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 183.72/184.02 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a0 x1))
% 183.72/184.02 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (a0 x)))
% 183.72/184.02 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 183.72/184.02 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 183.72/184.02 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 183.72/184.02 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 183.72/184.02 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 183.72/184.02 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 183.72/184.02 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 183.72/184.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 183.72/184.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 183.72/184.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 183.72/184.02 Found eta_expansion000:=(eta_expansion00 b1):(((eq ((fofType->fofType)->Prop)) b1) (fun (x:(fofType->fofType))=> (b1 x)))
% 183.72/184.02 Found (eta_expansion00 b1) as proof of (((eq ((fofType->fofType)->Prop)) b1) b0)
% 183.72/184.02 Found ((eta_expansion0 Prop) b1) as proof of (((eq ((fofType->fofType)->Prop)) b1) b0)
% 183.72/184.02 Found (((eta_expansion (fofType->fofType)) Prop) b1) as proof of (((eq ((fofType->fofType)->Prop)) b1) b0)
% 183.72/184.02 Found (((eta_expansion (fofType->fofType)) Prop) b1) as proof of (((eq ((fofType->fofType)->Prop)) b1) b0)
% 183.72/184.02 Found (((eta_expansion (fofType->fofType)) Prop) b1) as proof of (((eq ((fofType->fofType)->Prop)) b1) b0)
% 183.72/184.02 Found eta_expansion000:=(eta_expansion00 a0):(((eq ((fofType->fofType)->Prop)) a0) (fun (x:(fofType->fofType))=> (a0 x)))
% 183.72/184.02 Found (eta_expansion00 a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 183.72/184.02 Found ((eta_expansion0 Prop) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 183.72/184.02 Found (((eta_expansion (fofType->fofType)) Prop) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 183.72/184.02 Found (((eta_expansion (fofType->fofType)) Prop) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 183.72/184.02 Found (((eta_expansion (fofType->fofType)) Prop) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 183.72/184.02 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 183.72/184.02 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (a0 x)))
% 186.82/187.11 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 186.82/187.11 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (a0 x)))
% 186.82/187.11 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 186.82/187.11 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (a0 x)))
% 186.82/187.11 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 186.82/187.11 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a0 x1))
% 186.82/187.11 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (a0 x)))
% 186.82/187.11 Found eta_expansion_dep000:=(eta_expansion_dep00 b1):(((eq ((fofType->fofType)->Prop)) b1) (fun (x:(fofType->fofType))=> (b1 x)))
% 186.82/187.11 Found (eta_expansion_dep00 b1) as proof of (((eq ((fofType->fofType)->Prop)) b1) b0)
% 186.82/187.11 Found ((eta_expansion_dep0 (fun (x2:(fofType->fofType))=> Prop)) b1) as proof of (((eq ((fofType->fofType)->Prop)) b1) b0)
% 186.82/187.11 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) b1) as proof of (((eq ((fofType->fofType)->Prop)) b1) b0)
% 186.82/187.11 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) b1) as proof of (((eq ((fofType->fofType)->Prop)) b1) b0)
% 186.82/187.11 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) b1) as proof of (((eq ((fofType->fofType)->Prop)) b1) b0)
% 186.82/187.11 Found eq_ref00:=(eq_ref0 a0):(((eq ((fofType->fofType)->Prop)) a0) a0)
% 186.82/187.11 Found (eq_ref0 a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 186.82/187.11 Found ((eq_ref ((fofType->fofType)->Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 186.82/187.11 Found ((eq_ref ((fofType->fofType)->Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 186.82/187.11 Found ((eq_ref ((fofType->fofType)->Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b1)
% 186.82/187.11 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 186.82/187.11 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 186.82/187.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 186.82/187.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 186.82/187.11 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 186.82/187.11 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 186.82/187.11 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b1)
% 186.82/187.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% 186.82/187.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% 186.82/187.11 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% 186.82/187.11 Found eq_ref00:=(eq_ref0 b10):(((eq fofType) b10) b10)
% 186.82/187.11 Found (eq_ref0 b10) as proof of (((eq fofType) b10) b0)
% 186.82/187.11 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b0)
% 186.82/187.11 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b0)
% 186.82/187.11 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b0)
% 186.82/187.11 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 186.82/187.11 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b10)
% 188.47/188.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b10)
% 188.47/188.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b10)
% 188.47/188.77 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b10)
% 188.47/188.77 Found eta_expansion_dep000:=(eta_expansion_dep00 b0):(((eq ((fofType->fofType)->Prop)) b0) (fun (x:(fofType->fofType))=> (b0 x)))
% 188.47/188.77 Found (eta_expansion_dep00 b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 188.47/188.77 Found ((eta_expansion_dep0 (fun (x2:(fofType->fofType))=> Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 188.47/188.77 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 188.47/188.77 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 188.47/188.77 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 188.47/188.77 Found eta_expansion_dep000:=(eta_expansion_dep00 a0):(((eq ((fofType->fofType)->Prop)) a0) (fun (x:(fofType->fofType))=> (a0 x)))
% 188.47/188.77 Found (eta_expansion_dep00 a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 188.47/188.77 Found ((eta_expansion_dep0 (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 188.47/188.77 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 188.47/188.77 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 188.47/188.77 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 188.47/188.77 Found eta_expansion_dep000:=(eta_expansion_dep00 b0):(((eq ((fofType->fofType)->Prop)) b0) (fun (x:(fofType->fofType))=> (b0 x)))
% 188.47/188.77 Found (eta_expansion_dep00 b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 188.47/188.77 Found ((eta_expansion_dep0 (fun (x2:(fofType->fofType))=> Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 188.47/188.77 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 188.47/188.77 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 188.47/188.77 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 188.47/188.77 Found eta_expansion_dep000:=(eta_expansion_dep00 a0):(((eq ((fofType->fofType)->Prop)) a0) (fun (x:(fofType->fofType))=> (a0 x)))
% 188.47/188.77 Found (eta_expansion_dep00 a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 188.47/188.77 Found ((eta_expansion_dep0 (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 188.47/188.77 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 188.47/188.77 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 188.47/188.77 Found (((eta_expansion_dep (fofType->fofType)) (fun (x2:(fofType->fofType))=> Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 188.47/188.77 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 188.47/188.77 Found (eq_ref00 P) as proof of (P0 b)
% 188.47/188.77 Found ((eq_ref0 b) P) as proof of (P0 b)
% 188.47/188.77 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 188.47/188.77 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 188.47/188.77 Found eq_ref00:=(eq_ref0 b10):(((eq fofType) b10) b10)
% 188.47/188.77 Found (eq_ref0 b10) as proof of (((eq fofType) b10) b)
% 188.47/188.77 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b)
% 188.47/188.77 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b)
% 188.47/188.77 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b)
% 188.47/188.77 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 188.47/188.77 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b10)
% 188.47/188.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b10)
% 188.47/188.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b10)
% 188.47/188.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b10)
% 192.77/193.07 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 192.77/193.07 Found (eq_ref0 b) as proof of (((eq fofType) b) b000)
% 192.77/193.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b000)
% 192.77/193.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b000)
% 192.77/193.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b000)
% 192.77/193.07 Found eq_ref00:=(eq_ref0 b000):(((eq fofType) b000) b000)
% 192.77/193.07 Found (eq_ref0 b000) as proof of (((eq fofType) b000) b0)
% 192.77/193.07 Found ((eq_ref fofType) b000) as proof of (((eq fofType) b000) b0)
% 192.77/193.07 Found ((eq_ref fofType) b000) as proof of (((eq fofType) b000) b0)
% 192.77/193.07 Found ((eq_ref fofType) b000) as proof of (((eq fofType) b000) b0)
% 192.77/193.07 Found eta_expansion000:=(eta_expansion00 b0):(((eq ((fofType->fofType)->Prop)) b0) (fun (x:(fofType->fofType))=> (b0 x)))
% 192.77/193.07 Found (eta_expansion00 b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 192.77/193.07 Found ((eta_expansion0 Prop) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 192.77/193.07 Found (((eta_expansion (fofType->fofType)) Prop) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 192.77/193.07 Found (((eta_expansion (fofType->fofType)) Prop) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 192.77/193.07 Found (((eta_expansion (fofType->fofType)) Prop) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 192.77/193.07 Found eq_ref00:=(eq_ref0 a0):(((eq ((fofType->fofType)->Prop)) a0) a0)
% 192.77/193.07 Found (eq_ref0 a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 192.77/193.07 Found ((eq_ref ((fofType->fofType)->Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 192.77/193.07 Found ((eq_ref ((fofType->fofType)->Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 192.77/193.07 Found ((eq_ref ((fofType->fofType)->Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 192.77/193.07 Found eta_expansion000:=(eta_expansion00 b0):(((eq ((fofType->fofType)->Prop)) b0) (fun (x:(fofType->fofType))=> (b0 x)))
% 192.77/193.07 Found (eta_expansion00 b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 192.77/193.07 Found ((eta_expansion0 Prop) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 192.77/193.07 Found (((eta_expansion (fofType->fofType)) Prop) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 192.77/193.07 Found (((eta_expansion (fofType->fofType)) Prop) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 192.77/193.07 Found (((eta_expansion (fofType->fofType)) Prop) b0) as proof of (((eq ((fofType->fofType)->Prop)) b0) f)
% 192.77/193.07 Found eq_ref00:=(eq_ref0 a0):(((eq ((fofType->fofType)->Prop)) a0) a0)
% 192.77/193.07 Found (eq_ref0 a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 192.77/193.07 Found ((eq_ref ((fofType->fofType)->Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 192.77/193.07 Found ((eq_ref ((fofType->fofType)->Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 192.77/193.07 Found ((eq_ref ((fofType->fofType)->Prop)) a0) as proof of (((eq ((fofType->fofType)->Prop)) a0) b0)
% 192.77/193.07 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 192.77/193.07 Found (eq_ref0 b) as proof of (P b)
% 192.77/193.07 Found ((eq_ref fofType) b) as proof of (P b)
% 192.77/193.07 Found ((eq_ref fofType) b) as proof of (P b)
% 192.77/193.07 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 192.77/193.07 Found (eq_ref0 b01) as proof of (((eq fofType) b01) (x00 y))
% 192.77/193.07 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 192.77/193.07 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 192.77/193.07 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 192.77/193.07 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 192.77/193.07 Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% 192.77/193.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 192.77/193.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 192.77/193.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 192.77/193.07 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 192.77/193.07 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 192.77/193.07 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 192.77/193.07 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 192.77/193.07 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 192.77/193.07 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 192.77/193.07 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 192.77/193.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 192.77/193.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 197.06/197.44 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 197.06/197.44 Found eq_ref000:=(eq_ref00 P):((P b00)->(P b00))
% 197.06/197.44 Found (eq_ref00 P) as proof of (P0 b00)
% 197.06/197.44 Found ((eq_ref0 b00) P) as proof of (P0 b00)
% 197.06/197.44 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 197.06/197.44 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 197.06/197.44 Found eq_ref000:=(eq_ref00 P):((P b00)->(P b00))
% 197.06/197.44 Found (eq_ref00 P) as proof of (P0 b00)
% 197.06/197.44 Found ((eq_ref0 b00) P) as proof of (P0 b00)
% 197.06/197.44 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 197.06/197.44 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 197.06/197.44 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 197.06/197.44 Found (eq_ref00 P) as proof of (P0 b0)
% 197.06/197.44 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 197.06/197.44 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 197.06/197.44 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 197.06/197.44 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 197.06/197.44 Found (eq_ref00 P) as proof of (P0 b0)
% 197.06/197.44 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 197.06/197.44 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 197.06/197.44 Found (((eq_ref fofType) b0) P) as proof of (P0 b0)
% 197.06/197.44 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 197.06/197.44 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 197.06/197.44 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b1)
% 197.06/197.44 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% 197.06/197.44 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% 197.06/197.44 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% 197.06/197.44 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 197.06/197.44 Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% 197.06/197.44 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 197.06/197.44 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 197.06/197.44 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 197.06/197.44 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 197.06/197.44 Found (eq_ref0 b01) as proof of (((eq fofType) b01) b00)
% 197.06/197.44 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b00)
% 197.06/197.44 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b00)
% 197.06/197.44 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b00)
% 197.06/197.44 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 197.06/197.44 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 197.06/197.44 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 197.06/197.44 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 197.06/197.44 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 197.06/197.44 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 197.06/197.44 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 197.06/197.44 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 197.06/197.44 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 197.06/197.44 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 197.06/197.44 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 197.06/197.44 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 197.06/197.44 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 197.06/197.44 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 197.06/197.44 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 197.06/197.44 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 197.06/197.44 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 197.06/197.44 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 197.06/197.44 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 197.06/197.44 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 197.06/197.44 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 198.26/198.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 198.26/198.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 198.26/198.58 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 198.26/198.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 198.26/198.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 198.26/198.58 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 198.26/198.58 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 198.26/198.58 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 198.26/198.58 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 198.26/198.58 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 198.26/198.58 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 198.26/198.58 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 198.26/198.58 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 198.26/198.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 198.26/198.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 198.26/198.58 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 198.26/198.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 198.26/198.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 198.26/198.58 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 198.26/198.58 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 198.26/198.58 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 198.26/198.58 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 198.26/198.58 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 198.26/198.58 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 198.26/198.58 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 198.26/198.58 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 198.26/198.58 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 198.26/198.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 198.26/198.58 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 198.26/198.58 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 198.26/198.58 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 198.26/198.58 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 198.26/198.58 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 199.94/200.32 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 199.94/200.32 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 199.94/200.32 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 199.94/200.32 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 199.94/200.32 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 199.94/200.32 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 199.94/200.32 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 199.94/200.32 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 199.94/200.32 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 199.94/200.32 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 199.94/200.32 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 199.94/200.32 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 199.94/200.32 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 199.94/200.32 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 199.94/200.32 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 199.94/200.32 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 199.94/200.32 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 199.94/200.32 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 199.94/200.32 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 199.94/200.32 Found eq_ref00:=(eq_ref0 (x1 x)):(((eq fofType) (x1 x)) (x1 x))
% 199.94/200.32 Found (eq_ref0 (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 199.94/200.32 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 199.94/200.32 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 199.94/200.32 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) a)
% 199.94/200.32 Found eq_ref00:=(eq_ref0 (x1 y)):(((eq fofType) (x1 y)) (x1 y))
% 199.94/200.32 Found (eq_ref0 (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 199.94/200.32 Found ((eq_ref fofType) (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 208.30/208.62 Found ((eq_ref fofType) (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 208.30/208.62 Found ((eq_ref fofType) (x1 y)) as proof of (((eq fofType) (x1 y)) b)
% 208.30/208.62 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 208.30/208.62 Found (eq_ref00 P) as proof of (P0 b)
% 208.30/208.62 Found ((eq_ref0 b) P) as proof of (P0 b)
% 208.30/208.62 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 208.30/208.62 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 208.30/208.62 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 208.30/208.62 Found (eq_ref0 b01) as proof of (((eq fofType) b01) (x00 y))
% 208.30/208.62 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 208.30/208.62 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 208.30/208.62 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) (x00 y))
% 208.30/208.62 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 208.30/208.62 Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% 208.30/208.62 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 208.30/208.62 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 208.30/208.62 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 208.30/208.62 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 208.30/208.62 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 208.30/208.62 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 208.30/208.62 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 208.30/208.62 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 208.30/208.62 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 208.30/208.62 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 208.30/208.62 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 208.30/208.62 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 208.30/208.62 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 208.30/208.62 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 208.30/208.62 Found (eq_ref0 b00) as proof of (P1 b00)
% 208.30/208.62 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 208.30/208.62 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 208.30/208.62 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 208.30/208.62 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 208.30/208.62 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 208.30/208.62 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 208.30/208.62 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 208.30/208.62 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 208.30/208.62 Found eq_ref00:=(eq_ref0 b10):(((eq fofType) b10) b10)
% 208.30/208.62 Found (eq_ref0 b10) as proof of (((eq fofType) b10) b)
% 208.30/208.62 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b)
% 208.30/208.62 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b)
% 208.30/208.62 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b)
% 208.30/208.62 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 208.30/208.62 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b10)
% 208.30/208.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b10)
% 208.30/208.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b10)
% 208.30/208.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b10)
% 208.30/208.62 Found eq_ref00:=(eq_ref0 b10):(((eq fofType) b10) b10)
% 208.30/208.62 Found (eq_ref0 b10) as proof of (((eq fofType) b10) b)
% 208.30/208.62 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b)
% 208.30/208.62 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b)
% 208.30/208.62 Found ((eq_ref fofType) b10) as proof of (((eq fofType) b10) b)
% 208.30/208.62 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 208.30/208.62 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b10)
% 208.30/208.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b10)
% 208.30/208.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b10)
% 208.30/208.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b10)
% 208.30/208.62 Found eq_ref000:=(eq_ref00 P0):((P0 (x00 y))->(P0 (x00 y)))
% 208.30/208.62 Found (eq_ref00 P0) as proof of (P1 (x00 y))
% 208.30/208.62 Found ((eq_ref0 (x00 y)) P0) as proof of (P1 (x00 y))
% 208.30/208.62 Found (((eq_ref fofType) (x00 y)) P0) as proof of (P1 (x00 y))
% 208.30/208.62 Found (((eq_ref fofType) (x00 y)) P0) as proof of (P1 (x00 y))
% 208.30/208.62 Found x2:(P1 b)
% 208.30/208.62 Instantiate: b1:=b:fofType
% 208.30/208.62 Found x2 as proof of (P2 b1)
% 208.30/208.62 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 208.30/208.62 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 208.30/208.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 208.30/208.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 208.30/208.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 208.30/208.62 Found x1:(P b0)
% 208.30/208.62 Instantiate: b00:=b0:fofType
% 208.30/208.62 Found x1 as proof of (P0 b00)
% 214.59/214.92 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 214.59/214.92 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 214.59/214.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 214.59/214.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 214.59/214.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 214.59/214.92 Found x1:(P b)
% 214.59/214.92 Instantiate: a0:=b:fofType
% 214.59/214.92 Found x1 as proof of (P0 a0)
% 214.59/214.92 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 214.59/214.92 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 214.59/214.92 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 214.59/214.92 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 214.59/214.92 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 214.59/214.92 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 214.59/214.92 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b1)
% 214.59/214.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% 214.59/214.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% 214.59/214.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% 214.59/214.92 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 214.59/214.92 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 214.59/214.92 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 214.59/214.92 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 214.59/214.92 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 214.59/214.92 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 214.59/214.92 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b1)
% 214.59/214.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% 214.59/214.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% 214.59/214.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b1)
% 214.59/214.92 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 214.59/214.92 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 214.59/214.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 214.59/214.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 214.59/214.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 214.59/214.92 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 214.59/214.92 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 214.59/214.92 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 214.59/214.92 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 214.59/214.92 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 214.59/214.92 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 214.59/214.92 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 214.59/214.92 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 214.59/214.92 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 214.59/214.92 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 214.59/214.92 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 214.59/214.92 Found (eq_ref00 P1) as proof of (P2 b0)
% 214.59/214.92 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 214.59/214.92 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 214.59/214.92 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 214.59/214.92 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 214.59/214.92 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 214.59/214.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 214.59/214.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 214.59/214.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 214.59/214.92 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 214.59/214.92 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 214.59/214.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 214.59/214.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 214.59/214.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 214.59/214.92 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 214.59/214.92 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 214.59/214.92 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 214.59/214.92 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 214.59/214.92 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 214.59/214.92 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 214.59/214.92 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 214.59/214.92 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 214.59/214.92 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 214.59/214.92 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 214.59/214.92 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 214.59/214.92 Found (eq_ref00 P1) as proof of (P2 b0)
% 214.59/214.92 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 214.59/214.92 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 219.15/219.52 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 219.15/219.52 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 219.15/219.52 Found (eq_ref0 b00) as proof of (P0 b00)
% 219.15/219.52 Found ((eq_ref fofType) b00) as proof of (P0 b00)
% 219.15/219.52 Found ((eq_ref fofType) b00) as proof of (P0 b00)
% 219.15/219.52 Found ((eq_ref fofType) b00) as proof of (P0 b00)
% 219.15/219.52 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 219.15/219.52 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 219.15/219.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 219.15/219.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 219.15/219.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 219.15/219.52 Found eq_ref000:=(eq_ref00 P0):((P0 (x1 x))->(P0 (x1 x)))
% 219.15/219.52 Found (eq_ref00 P0) as proof of (P1 (x1 x))
% 219.15/219.52 Found ((eq_ref0 (x1 x)) P0) as proof of (P1 (x1 x))
% 219.15/219.52 Found (((eq_ref fofType) (x1 x)) P0) as proof of (P1 (x1 x))
% 219.15/219.52 Found (((eq_ref fofType) (x1 x)) P0) as proof of (P1 (x1 x))
% 219.15/219.52 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 219.15/219.52 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 219.15/219.52 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 219.15/219.52 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 219.15/219.52 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 219.15/219.52 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 219.15/219.52 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b00)
% 219.15/219.52 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% 219.15/219.52 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% 219.15/219.52 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% 219.15/219.52 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 219.15/219.52 Found (eq_ref0 b01) as proof of (((eq fofType) b01) b)
% 219.15/219.52 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 219.15/219.52 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 219.15/219.52 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 219.15/219.52 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 219.15/219.52 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 219.15/219.52 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 219.15/219.52 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 219.15/219.52 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 219.15/219.52 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 219.15/219.52 Found (eq_ref0 b01) as proof of (((eq fofType) b01) b)
% 219.15/219.52 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 219.15/219.52 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 219.15/219.52 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 219.15/219.52 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 219.15/219.52 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 219.15/219.52 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 219.15/219.52 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 219.15/219.52 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 219.15/219.52 Found x1:(P0 b)
% 219.15/219.52 Instantiate: b1:=b:fofType
% 219.15/219.52 Found x1 as proof of (P1 b1)
% 219.15/219.52 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 219.15/219.52 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 219.15/219.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 219.15/219.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 219.15/219.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 219.15/219.52 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 219.15/219.52 Found (eq_ref00 P1) as proof of (P2 b)
% 219.15/219.52 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 219.15/219.52 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 219.15/219.52 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 219.15/219.52 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 219.15/219.52 Found (eq_ref00 P1) as proof of (P2 b)
% 219.15/219.52 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 219.15/219.52 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 219.15/219.52 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 219.15/219.52 Found eq_ref000:=(eq_ref00 P0):((P0 (x1 y))->(P0 (x1 y)))
% 219.15/219.52 Found (eq_ref00 P0) as proof of (P1 (x1 y))
% 219.15/219.52 Found ((eq_ref0 (x1 y)) P0) as proof of (P1 (x1 y))
% 219.15/219.52 Found (((eq_ref fofType) (x1 y)) P0) as proof of (P1 (x1 y))
% 219.15/219.52 Found (((eq_ref fofType) (x1 y)) P0) as proof of (P1 (x1 y))
% 219.15/219.52 Found eq_ref000:=(eq_ref00 P0):((P0 (x1 x))->(P0 (x1 x)))
% 219.15/219.52 Found (eq_ref00 P0) as proof of (P1 (x1 x))
% 219.15/219.52 Found ((eq_ref0 (x1 x)) P0) as proof of (P1 (x1 x))
% 219.15/219.52 Found (((eq_ref fofType) (x1 x)) P0) as proof of (P1 (x1 x))
% 223.71/224.07 Found (((eq_ref fofType) (x1 x)) P0) as proof of (P1 (x1 x))
% 223.71/224.07 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 223.71/224.07 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 223.71/224.07 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 223.71/224.07 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 223.71/224.07 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 223.71/224.07 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 223.71/224.07 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 223.71/224.07 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.71/224.07 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 223.71/224.07 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 223.71/224.07 Found x1:(P1 b0)
% 223.71/224.07 Instantiate: b00:=b0:fofType
% 223.71/224.07 Found x1 as proof of (P2 b00)
% 223.71/224.07 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 223.71/224.07 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 223.71/224.07 Found x1:(P1 b0)
% 223.71/224.07 Instantiate: b00:=b0:fofType
% 223.71/224.07 Found x1 as proof of (P2 b00)
% 223.71/224.07 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 223.71/224.07 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 223.71/224.07 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 223.71/224.07 Found eq_ref000:=(eq_ref00 P1):((P1 a0)->(P1 a0))
% 223.71/224.07 Found (eq_ref00 P1) as proof of (P2 a0)
% 223.71/224.07 Found ((eq_ref0 a0) P1) as proof of (P2 a0)
% 223.71/224.07 Found (((eq_ref fofType) a0) P1) as proof of (P2 a0)
% 223.71/224.07 Found (((eq_ref fofType) a0) P1) as proof of (P2 a0)
% 223.71/224.07 Found x1:(P1 b)
% 223.71/224.07 Instantiate: b0:=b:fofType
% 223.71/224.07 Found x1 as proof of (P2 b0)
% 223.71/224.07 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 223.71/224.07 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 223.71/224.07 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 223.71/224.07 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 223.71/224.07 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 223.71/224.07 Found x1:(P1 b)
% 223.71/224.07 Instantiate: b0:=b:fofType
% 223.71/224.07 Found x1 as proof of (P2 b0)
% 223.71/224.07 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 223.71/224.07 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 223.71/224.07 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 227.34/227.70 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 227.34/227.70 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b0)
% 227.34/227.70 Found x2:(P1 b0)
% 227.34/227.70 Instantiate: b00:=b0:fofType
% 227.34/227.70 Found x2 as proof of (P2 b00)
% 227.34/227.70 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 227.34/227.70 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 227.34/227.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 227.34/227.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 227.34/227.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 227.34/227.70 Found eq_ref00:=(eq_ref0 (x1 x)):(((eq fofType) (x1 x)) (x1 x))
% 227.34/227.70 Found (eq_ref0 (x1 x)) as proof of (((eq fofType) (x1 x)) b1)
% 227.34/227.70 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) b1)
% 227.34/227.70 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) b1)
% 227.34/227.70 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) b1)
% 227.34/227.70 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 227.34/227.70 Found (eq_ref0 b1) as proof of (((eq fofType) b1) a)
% 227.34/227.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% 227.34/227.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% 227.34/227.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a)
% 227.34/227.70 Found x1:(P b0)
% 227.34/227.70 Instantiate: a0:=b0:fofType
% 227.34/227.70 Found x1 as proof of (P0 a0)
% 227.34/227.70 Found x1:(P1 b)
% 227.34/227.70 Instantiate: a0:=b:fofType
% 227.34/227.70 Found x1 as proof of (P2 a0)
% 227.34/227.70 Found x1:(P1 b)
% 227.34/227.70 Instantiate: a0:=b:fofType
% 227.34/227.70 Found x1 as proof of (P2 a0)
% 227.34/227.70 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 227.34/227.70 Found (eq_ref0 b1) as proof of (P1 b1)
% 227.34/227.70 Found ((eq_ref fofType) b1) as proof of (P1 b1)
% 227.34/227.70 Found ((eq_ref fofType) b1) as proof of (P1 b1)
% 227.34/227.70 Found ((eq_ref fofType) b1) as proof of (P1 b1)
% 227.34/227.70 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 227.34/227.70 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 227.34/227.70 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 227.34/227.70 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 227.34/227.70 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 227.34/227.70 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 227.34/227.70 Found (eq_ref0 b1) as proof of (P1 b1)
% 227.34/227.70 Found ((eq_ref fofType) b1) as proof of (P1 b1)
% 227.34/227.70 Found ((eq_ref fofType) b1) as proof of (P1 b1)
% 227.34/227.70 Found ((eq_ref fofType) b1) as proof of (P1 b1)
% 227.34/227.70 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 227.34/227.70 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 227.34/227.70 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 227.34/227.70 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 227.34/227.70 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 227.34/227.70 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 227.34/227.70 Found (eq_ref0 b00) as proof of (P b00)
% 227.34/227.70 Found ((eq_ref fofType) b00) as proof of (P b00)
% 227.34/227.70 Found ((eq_ref fofType) b00) as proof of (P b00)
% 227.34/227.70 Found ((eq_ref fofType) b00) as proof of (P b00)
% 227.34/227.70 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 227.34/227.70 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 227.34/227.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 227.34/227.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 227.34/227.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 227.34/227.70 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 227.34/227.70 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 227.34/227.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 227.34/227.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 227.34/227.70 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 227.34/227.70 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 227.34/227.70 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% 227.34/227.70 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 227.34/227.70 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 227.34/227.70 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 227.34/227.70 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 227.34/227.70 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% 227.34/227.70 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 227.34/227.70 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 227.34/227.70 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 227.34/227.70 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 227.34/227.70 Found (eq_ref0 b0) as proof of (P1 b00)
% 227.34/227.70 Found ((eq_ref fofType) b0) as proof of (P1 b00)
% 227.34/227.70 Found ((eq_ref fofType) b0) as proof of (P1 b00)
% 229.03/229.40 Found ((eq_ref fofType) b0) as proof of (P1 b00)
% 229.03/229.40 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 229.03/229.40 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 229.03/229.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 229.03/229.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 229.03/229.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 229.03/229.40 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 229.03/229.40 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 229.03/229.40 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 229.03/229.40 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 229.03/229.40 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 229.03/229.40 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 229.03/229.40 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 229.03/229.40 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 229.03/229.40 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (x00 y))
% 229.03/229.40 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 229.03/229.40 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 229.03/229.40 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (x00 y))
% 229.03/229.40 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 229.03/229.40 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 229.03/229.40 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b0)
% 229.03/229.40 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 229.03/229.40 Found (eq_ref0 b00) as proof of (P b00)
% 229.03/229.40 Found ((eq_ref fofType) b00) as proof of (P b00)
% 229.03/229.40 Found ((eq_ref fofType) b00) as proof of (P b00)
% 229.03/229.40 Found ((eq_ref fofType) b00) as proof of (P b00)
% 229.03/229.40 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 229.03/229.40 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 229.03/229.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 229.03/229.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 229.03/229.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 229.03/229.40 Found eq_ref000:=(eq_ref00 P2):((P2 b)->(P2 b))
% 229.03/229.40 Found (eq_ref00 P2) as proof of (P3 b)
% 229.03/229.40 Found ((eq_ref0 b) P2) as proof of (P3 b)
% 229.03/229.40 Found (((eq_ref fofType) b) P2) as proof of (P3 b)
% 229.03/229.40 Found (((eq_ref fofType) b) P2) as proof of (P3 b)
% 229.03/229.40 Found eq_ref000:=(eq_ref00 P2):((P2 b)->(P2 b))
% 229.03/229.40 Found (eq_ref00 P2) as proof of (P3 b)
% 229.03/229.40 Found ((eq_ref0 b) P2) as proof of (P3 b)
% 229.03/229.40 Found (((eq_ref fofType) b) P2) as proof of (P3 b)
% 229.03/229.40 Found (((eq_ref fofType) b) P2) as proof of (P3 b)
% 229.03/229.40 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 229.03/229.40 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 229.03/229.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 229.03/229.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 229.03/229.40 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 229.03/229.40 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 229.03/229.40 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 229.03/229.40 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 229.03/229.40 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 229.03/229.40 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 229.03/229.40 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 229.03/229.40 Found (eq_ref00 P1) as proof of (P2 b)
% 229.03/229.40 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 229.03/229.40 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 229.03/229.40 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 229.03/229.40 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 229.03/229.40 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 232.55/232.92 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 232.55/232.92 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 232.55/232.92 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 232.55/232.92 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 232.55/232.92 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 232.55/232.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 232.55/232.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 232.55/232.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 232.55/232.92 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 232.55/232.92 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 232.55/232.92 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 232.55/232.92 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 232.55/232.92 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 232.55/232.92 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 232.55/232.92 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 232.55/232.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 232.55/232.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 232.55/232.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 232.55/232.92 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 232.55/232.92 Found (eq_ref00 P1) as proof of (P2 b)
% 232.55/232.92 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 232.55/232.92 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 232.55/232.92 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 232.55/232.92 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 232.55/232.92 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 232.55/232.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 232.55/232.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 232.55/232.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 232.55/232.92 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 232.55/232.92 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 232.55/232.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 232.55/232.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 232.55/232.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 232.55/232.92 Found eq_ref00:=(eq_ref0 (x1 y)):(((eq fofType) (x1 y)) (x1 y))
% 232.55/232.92 Found (eq_ref0 (x1 y)) as proof of (((eq fofType) (x1 y)) b0)
% 232.55/232.92 Found ((eq_ref fofType) (x1 y)) as proof of (((eq fofType) (x1 y)) b0)
% 232.55/232.92 Found ((eq_ref fofType) (x1 y)) as proof of (((eq fofType) (x1 y)) b0)
% 232.55/232.92 Found ((eq_ref fofType) (x1 y)) as proof of (((eq fofType) (x1 y)) b0)
% 232.55/232.92 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 232.55/232.92 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 232.55/232.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 232.55/232.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 232.55/232.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 232.55/232.92 Found eq_ref00:=(eq_ref0 (x1 x)):(((eq fofType) (x1 x)) (x1 x))
% 232.55/232.92 Found (eq_ref0 (x1 x)) as proof of (((eq fofType) (x1 x)) b0)
% 232.55/232.92 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) b0)
% 232.55/232.92 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) b0)
% 232.55/232.92 Found ((eq_ref fofType) (x1 x)) as proof of (((eq fofType) (x1 x)) b0)
% 232.55/232.92 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 232.55/232.92 Found (eq_ref0 b0) as proof of (((eq fofType) b0) a)
% 232.55/232.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% 232.55/232.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% 232.55/232.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) a)
% 232.55/232.92 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 232.55/232.92 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 232.55/232.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 232.55/232.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 232.55/232.92 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 232.55/232.92 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 232.55/232.92 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 232.55/232.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 232.55/232.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 232.55/232.92 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 232.55/232.92 Found x1:(P b)
% 232.55/232.92 Instantiate: b1:=b:fofType
% 232.55/232.92 Found x1 as proof of (P0 b1)
% 232.55/232.92 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 232.55/232.92 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 232.55/232.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 232.55/232.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 232.55/232.92 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 245.19/245.61 Found x1:(P b)
% 245.19/245.61 Instantiate: b1:=b:fofType
% 245.19/245.61 Found x1 as proof of (P0 b1)
% 245.19/245.61 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 245.19/245.61 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 245.19/245.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 245.19/245.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 245.19/245.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 245.19/245.61 Found x1:(P1 b0)
% 245.19/245.61 Found x1 as proof of (P2 (x00 y))
% 245.19/245.61 Found x1:(P1 b0)
% 245.19/245.61 Found x1 as proof of (P2 (x00 y))
% 245.19/245.61 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 245.19/245.61 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 245.19/245.61 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 245.19/245.61 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 245.19/245.61 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 245.19/245.61 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 245.19/245.61 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 245.19/245.61 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 245.19/245.61 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 245.19/245.61 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 245.19/245.61 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 245.19/245.61 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 245.19/245.61 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 245.19/245.61 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 245.19/245.61 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 245.19/245.61 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 245.19/245.61 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 245.19/245.61 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 245.19/245.61 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 245.19/245.61 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 245.19/245.61 Found x2:(P1 (x00 y))
% 245.19/245.61 Instantiate: b00:=(x00 y):fofType
% 245.19/245.61 Found x2 as proof of (P2 b00)
% 245.19/245.61 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 245.19/245.61 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 245.19/245.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 245.19/245.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 245.19/245.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 245.19/245.61 Found x1:(P0 b0)
% 245.19/245.61 Instantiate: b00:=b0:fofType
% 245.19/245.61 Found x1 as proof of (P1 b00)
% 245.19/245.61 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 245.19/245.61 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 245.19/245.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 245.19/245.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 245.19/245.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 245.19/245.61 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 245.19/245.61 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 245.19/245.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 245.19/245.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 245.19/245.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 245.19/245.61 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 245.19/245.61 Found (eq_ref0 (x00 y)) as proof of (P1 b00)
% 245.19/245.61 Found ((eq_ref fofType) (x00 y)) as proof of (P1 b00)
% 245.19/245.61 Found ((eq_ref fofType) (x00 y)) as proof of (P1 b00)
% 245.19/245.61 Found ((eq_ref fofType) (x00 y)) as proof of (P1 b00)
% 245.19/245.61 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 245.19/245.61 Found (eq_ref0 b1) as proof of (P0 b1)
% 245.19/245.61 Found ((eq_ref fofType) b1) as proof of (P0 b1)
% 245.19/245.61 Found ((eq_ref fofType) b1) as proof of (P0 b1)
% 245.19/245.61 Found ((eq_ref fofType) b1) as proof of (P0 b1)
% 245.19/245.61 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 245.19/245.61 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 245.19/245.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 245.19/245.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 245.19/245.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 245.19/245.61 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 245.19/245.61 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 245.19/245.61 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 245.19/245.61 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 245.19/245.61 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 245.19/245.61 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 245.19/245.61 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 245.19/245.61 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 247.75/248.16 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 247.75/248.16 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 247.75/248.16 Found eq_ref000:=(eq_ref00 P0):((P0 b)->(P0 b))
% 247.75/248.16 Found (eq_ref00 P0) as proof of (P1 b)
% 247.75/248.16 Found ((eq_ref0 b) P0) as proof of (P1 b)
% 247.75/248.16 Found (((eq_ref fofType) b) P0) as proof of (P1 b)
% 247.75/248.16 Found (((eq_ref fofType) b) P0) as proof of (P1 b)
% 247.75/248.16 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 247.75/248.16 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 247.75/248.16 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 247.75/248.16 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 247.75/248.16 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 247.75/248.16 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 247.75/248.16 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 247.75/248.16 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 247.75/248.16 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 247.75/248.16 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 247.75/248.16 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 247.75/248.16 Found (eq_ref0 b0) as proof of (P0 b00)
% 247.75/248.16 Found ((eq_ref fofType) b0) as proof of (P0 b00)
% 247.75/248.16 Found ((eq_ref fofType) b0) as proof of (P0 b00)
% 247.75/248.16 Found ((eq_ref fofType) b0) as proof of (P0 b00)
% 247.75/248.16 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 247.75/248.16 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 247.75/248.16 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 247.75/248.16 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 247.75/248.16 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 247.75/248.16 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 247.75/248.16 Found (eq_ref00 P1) as proof of (P2 b)
% 247.75/248.16 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 247.75/248.16 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 247.75/248.16 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 247.75/248.16 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 247.75/248.16 Found (eq_ref00 P1) as proof of (P2 b)
% 247.75/248.16 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 247.75/248.16 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 247.75/248.16 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 247.75/248.16 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 247.75/248.16 Found (eq_ref00 P1) as proof of (P2 b)
% 247.75/248.16 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 247.75/248.16 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 247.75/248.16 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 247.75/248.16 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 247.75/248.16 Found (eq_ref00 P1) as proof of (P2 b)
% 247.75/248.16 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 247.75/248.16 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 247.75/248.16 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 247.75/248.16 Found eq_ref000:=(eq_ref00 P):((P b00)->(P b00))
% 247.75/248.16 Found (eq_ref00 P) as proof of (P0 b00)
% 247.75/248.16 Found ((eq_ref0 b00) P) as proof of (P0 b00)
% 247.75/248.16 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 247.75/248.16 Found (((eq_ref fofType) b00) P) as proof of (P0 b00)
% 247.75/248.16 Found eq_ref000:=(eq_ref00 P0):((P0 b)->(P0 b))
% 247.75/248.16 Found (eq_ref00 P0) as proof of (P1 b)
% 247.75/248.16 Found ((eq_ref0 b) P0) as proof of (P1 b)
% 247.75/248.16 Found (((eq_ref fofType) b) P0) as proof of (P1 b)
% 247.75/248.16 Found (((eq_ref fofType) b) P0) as proof of (P1 b)
% 247.75/248.16 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 247.75/248.16 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 247.75/248.16 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 247.75/248.16 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 247.75/248.16 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 247.75/248.16 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 247.75/248.16 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 247.75/248.16 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 247.75/248.16 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 247.75/248.16 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 247.75/248.16 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 247.75/248.16 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 247.75/248.16 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 247.75/248.16 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 247.75/248.16 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 247.75/248.16 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 247.75/248.16 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 247.75/248.16 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 251.41/251.81 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 251.41/251.81 Found (eq_ref0 b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 251.41/251.81 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 251.41/251.81 Found (eq_ref0 b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 251.41/251.81 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 251.41/251.81 Found (eq_ref0 b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 251.41/251.81 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 251.41/251.81 Found (eq_ref0 b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 251.41/251.81 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 251.41/251.81 Found (eq_ref0 (x00 y)) as proof of (P (x00 y))
% 251.41/251.81 Found ((eq_ref fofType) (x00 y)) as proof of (P (x00 y))
% 251.41/251.81 Found ((eq_ref fofType) (x00 y)) as proof of (P (x00 y))
% 251.41/251.81 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 251.41/251.81 Found (eq_ref0 b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 251.41/251.81 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 251.41/251.81 Found (eq_ref0 b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 251.41/251.81 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 251.41/251.81 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 251.41/251.81 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 251.41/251.81 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 251.41/251.81 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 251.41/251.81 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 255.79/256.14 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 255.79/256.14 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 255.79/256.14 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 255.79/256.14 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 255.79/256.14 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 255.79/256.14 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 255.79/256.14 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 255.79/256.14 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 255.79/256.14 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 255.79/256.14 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 255.79/256.14 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 255.79/256.14 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 255.79/256.14 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 255.79/256.14 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 255.79/256.14 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 255.79/256.14 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 255.79/256.14 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 255.79/256.14 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 255.79/256.14 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 255.79/256.14 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 255.79/256.14 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 255.79/256.14 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 255.79/256.14 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 255.79/256.14 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 255.79/256.14 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 255.79/256.14 Found (eq_ref0 b01) as proof of (((eq fofType) b01) b)
% 255.79/256.14 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 255.79/256.14 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 255.79/256.14 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 255.79/256.14 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 260.01/260.45 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 260.01/260.45 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 260.01/260.45 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 260.01/260.45 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 260.01/260.45 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 260.01/260.45 Found (eq_ref0 b01) as proof of (((eq fofType) b01) b)
% 260.01/260.45 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 260.01/260.45 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 260.01/260.45 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 260.01/260.45 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 260.01/260.45 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 260.01/260.45 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 260.01/260.45 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 260.01/260.45 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 260.01/260.45 Found x1:(P1 b)
% 260.01/260.45 Instantiate: b1:=b:fofType
% 260.01/260.45 Found x1 as proof of (P2 b1)
% 260.01/260.45 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 260.01/260.45 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found x1:(P1 b)
% 260.01/260.45 Instantiate: b1:=b:fofType
% 260.01/260.45 Found x1 as proof of (P2 b1)
% 260.01/260.45 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 260.01/260.45 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found eq_ref000:=(eq_ref00 P1):((P1 a0)->(P1 a0))
% 260.01/260.45 Found (eq_ref00 P1) as proof of (P2 a0)
% 260.01/260.45 Found ((eq_ref0 a0) P1) as proof of (P2 a0)
% 260.01/260.45 Found (((eq_ref fofType) a0) P1) as proof of (P2 a0)
% 260.01/260.45 Found (((eq_ref fofType) a0) P1) as proof of (P2 a0)
% 260.01/260.45 Found x1:(P1 b0)
% 260.01/260.45 Instantiate: b1:=b0:fofType
% 260.01/260.45 Found x1 as proof of (P2 b1)
% 260.01/260.45 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 260.01/260.45 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 260.01/260.45 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 260.01/260.45 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 260.01/260.45 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 260.01/260.45 Found x1:(P1 b0)
% 260.01/260.45 Instantiate: b1:=b0:fofType
% 260.01/260.45 Found x1 as proof of (P2 b1)
% 260.01/260.45 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 260.01/260.45 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 260.01/260.45 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 260.01/260.45 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 260.01/260.45 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 260.01/260.45 Found x1:(P1 b)
% 260.01/260.45 Instantiate: b1:=b:fofType
% 260.01/260.45 Found x1 as proof of (P2 b1)
% 260.01/260.45 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 260.01/260.45 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found x1:(P1 b)
% 260.01/260.45 Instantiate: b1:=b:fofType
% 260.01/260.45 Found x1 as proof of (P2 b1)
% 260.01/260.45 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 260.01/260.45 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found x1:(P1 b)
% 260.01/260.45 Instantiate: b1:=b:fofType
% 260.01/260.45 Found x1 as proof of (P2 b1)
% 260.01/260.45 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 260.01/260.45 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found x1:(P1 b)
% 260.01/260.45 Instantiate: b1:=b:fofType
% 260.01/260.45 Found x1 as proof of (P2 b1)
% 260.01/260.45 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 260.01/260.45 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 260.01/260.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 264.06/264.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 264.06/264.49 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 264.06/264.49 Found eq_ref00:=(eq_ref0 b000):(((eq fofType) b000) b000)
% 264.06/264.49 Found (eq_ref0 b000) as proof of (((eq fofType) b000) b0)
% 264.06/264.49 Found ((eq_ref fofType) b000) as proof of (((eq fofType) b000) b0)
% 264.06/264.49 Found ((eq_ref fofType) b000) as proof of (((eq fofType) b000) b0)
% 264.06/264.49 Found ((eq_ref fofType) b000) as proof of (((eq fofType) b000) b0)
% 264.06/264.49 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 264.06/264.49 Found (eq_ref0 b) as proof of (((eq fofType) b) b000)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b000)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b000)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b000)
% 264.06/264.49 Found x1:(P b00)
% 264.06/264.49 Instantiate: b01:=b00:fofType
% 264.06/264.49 Found x1 as proof of (P0 b01)
% 264.06/264.49 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 264.06/264.49 Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 264.06/264.49 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 264.06/264.49 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 264.06/264.49 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 264.06/264.49 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 264.06/264.49 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 264.06/264.49 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 264.06/264.49 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 264.06/264.49 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 264.06/264.49 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 264.06/264.49 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 264.06/264.49 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 264.06/264.49 Found (eq_ref00 P1) as proof of (P2 b)
% 264.06/264.49 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 264.06/264.49 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 264.06/264.49 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 264.06/264.49 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 264.06/264.49 Found (eq_ref00 P) as proof of (P0 b)
% 264.06/264.49 Found ((eq_ref0 b) P) as proof of (P0 b)
% 264.06/264.49 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 264.06/264.49 Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 264.06/264.49 Found eq_ref000:=(eq_ref00 P1):((P1 b)->(P1 b))
% 264.06/264.49 Found (eq_ref00 P1) as proof of (P2 b)
% 268.89/269.31 Found ((eq_ref0 b) P1) as proof of (P2 b)
% 268.89/269.31 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 268.89/269.31 Found (((eq_ref fofType) b) P1) as proof of (P2 b)
% 268.89/269.31 Found x1:(P b)
% 268.89/269.31 Found x1 as proof of (P0 b)
% 268.89/269.31 Found x1:(P b0)
% 268.89/269.31 Found x1 as proof of (P0 b)
% 268.89/269.31 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 268.89/269.31 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 268.89/269.31 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 268.89/269.31 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 268.89/269.31 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 268.89/269.31 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 268.89/269.31 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 268.89/269.31 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 268.89/269.31 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 268.89/269.31 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 268.89/269.31 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 268.89/269.31 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 268.89/269.31 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 268.89/269.31 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b0)
% 268.89/269.31 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 268.89/269.31 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 268.89/269.31 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 273.37/273.80 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 273.37/273.80 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 273.37/273.80 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 273.37/273.80 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 273.37/273.80 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 273.37/273.80 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 273.37/273.80 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 273.37/273.80 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 273.37/273.80 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 273.37/273.80 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 273.37/273.80 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 273.37/273.80 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 273.37/273.80 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 273.37/273.80 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 273.37/273.80 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 273.37/273.80 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 273.37/273.80 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 273.37/273.80 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 273.37/273.80 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 273.37/273.80 Found x1:(P b0)
% 273.37/273.80 Instantiate: b00:=b0:fofType
% 273.37/273.80 Found x1 as proof of (P0 b00)
% 273.37/273.80 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 273.37/273.80 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found x1:(P b0)
% 273.37/273.80 Found x1 as proof of (P0 (x00 y))
% 273.37/273.80 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 273.37/273.80 Found (eq_ref0 b1) as proof of (P b1)
% 273.37/273.80 Found ((eq_ref fofType) b1) as proof of (P b1)
% 273.37/273.80 Found ((eq_ref fofType) b1) as proof of (P b1)
% 273.37/273.80 Found ((eq_ref fofType) b1) as proof of (P b1)
% 273.37/273.80 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 273.37/273.80 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 273.37/273.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 273.37/273.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 273.37/273.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 273.37/273.80 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 273.37/273.80 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 273.37/273.80 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 273.37/273.80 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 273.37/273.80 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 273.37/273.80 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 273.37/273.80 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 273.37/273.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 273.37/273.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 273.37/273.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 273.37/273.80 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 273.37/273.80 Found (eq_ref0 b0) as proof of (P b00)
% 273.37/273.80 Found ((eq_ref fofType) b0) as proof of (P b00)
% 273.37/273.80 Found ((eq_ref fofType) b0) as proof of (P b00)
% 273.37/273.80 Found ((eq_ref fofType) b0) as proof of (P b00)
% 273.37/273.80 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 273.37/273.80 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 273.37/273.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 279.40/279.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 279.40/279.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 279.40/279.80 Found x1:(P1 b0)
% 279.40/279.80 Found x1 as proof of (P2 b)
% 279.40/279.80 Found x1:(P1 b0)
% 279.40/279.80 Found x1 as proof of (P2 b)
% 279.40/279.80 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 279.40/279.80 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 279.40/279.80 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 279.40/279.80 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 279.40/279.80 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 279.40/279.80 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 279.40/279.80 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 279.40/279.80 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 279.40/279.80 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 279.40/279.80 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 279.40/279.80 Found eq_ref000:=(eq_ref00 P1):((P1 (x00 y))->(P1 (x00 y)))
% 279.40/279.80 Found (eq_ref00 P1) as proof of (P2 (x00 y))
% 279.40/279.80 Found ((eq_ref0 (x00 y)) P1) as proof of (P2 (x00 y))
% 279.40/279.80 Found (((eq_ref fofType) (x00 y)) P1) as proof of (P2 (x00 y))
% 279.40/279.80 Found (((eq_ref fofType) (x00 y)) P1) as proof of (P2 (x00 y))
% 279.40/279.80 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 279.40/279.80 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 279.40/279.80 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 279.40/279.80 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 279.40/279.80 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 279.40/279.80 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 279.40/279.80 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b00)
% 279.40/279.80 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% 279.40/279.80 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% 279.40/279.80 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b00)
% 279.40/279.80 Found eq_ref000:=(eq_ref00 P1):((P1 b0)->(P1 b0))
% 279.40/279.80 Found (eq_ref00 P1) as proof of (P2 b0)
% 279.40/279.80 Found ((eq_ref0 b0) P1) as proof of (P2 b0)
% 279.40/279.80 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 279.40/279.80 Found (((eq_ref fofType) b0) P1) as proof of (P2 b0)
% 279.40/279.80 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 279.40/279.80 Found (eq_ref0 b00) as proof of (P1 b00)
% 279.40/279.80 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 279.40/279.80 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 279.40/279.80 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 279.40/279.80 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 279.40/279.80 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 279.40/279.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 279.40/279.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 279.40/279.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 279.40/279.80 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 279.40/279.80 Found (eq_ref0 b00) as proof of (P1 b00)
% 279.40/279.80 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 279.40/279.80 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 279.40/279.80 Found ((eq_ref fofType) b00) as proof of (P1 b00)
% 279.40/279.80 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 279.40/279.80 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 279.40/279.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 279.40/279.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 279.40/279.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 279.40/279.80 Found x1:(P b)
% 279.40/279.80 Instantiate: a0:=b:fofType
% 279.40/279.80 Found x1 as proof of (P0 a0)
% 279.40/279.80 Found x1:(P b)
% 279.40/279.80 Instantiate: a0:=b:fofType
% 279.40/279.80 Found x1 as proof of (P0 a0)
% 279.40/279.80 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 279.40/279.80 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 279.40/279.80 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 279.40/279.80 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 279.40/279.80 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 279.40/279.80 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 279.40/279.80 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 279.40/279.80 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 279.40/279.80 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 279.40/279.80 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 279.40/279.80 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 279.40/279.80 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 279.40/279.80 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 279.40/279.80 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 280.60/281.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 280.60/281.00 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 280.60/281.00 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 280.60/281.00 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 280.60/281.00 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 280.60/281.00 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 280.60/281.00 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 280.60/281.00 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 280.60/281.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 280.60/281.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 280.60/281.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 280.60/281.00 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 280.60/281.00 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 280.60/281.00 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 280.60/281.00 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 280.60/281.00 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 280.60/281.00 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 280.60/281.00 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 280.60/281.00 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 280.60/281.00 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 280.60/281.00 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 280.60/281.00 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 280.60/281.00 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 280.60/281.00 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 280.60/281.00 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 280.60/281.00 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 280.60/281.00 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 280.60/281.00 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 280.60/281.00 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 280.60/281.00 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 280.60/281.00 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 280.60/281.00 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 280.60/281.00 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 280.60/281.00 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 280.60/281.00 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 280.60/281.00 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 280.60/281.00 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 280.60/281.00 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 280.60/281.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 280.60/281.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 280.60/281.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 280.60/281.00 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 280.60/281.00 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 280.60/281.00 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 280.60/281.00 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 280.60/281.00 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 280.60/281.00 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 280.60/281.00 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 280.60/281.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 280.60/281.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 280.60/281.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 280.60/281.00 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 280.60/281.00 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 280.60/281.00 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 280.60/281.00 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 280.60/281.00 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 280.60/281.00 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 280.60/281.00 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 280.60/281.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 280.60/281.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 280.60/281.00 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 280.60/281.00 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 280.60/281.00 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 280.60/281.00 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 280.60/281.00 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 282.50/282.94 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 282.50/282.94 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 282.50/282.94 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 282.50/282.94 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 282.50/282.94 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 282.50/282.94 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 282.50/282.94 Found (eq_ref0 a) as proof of (((eq fofType) a) b1)
% 282.50/282.94 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% 282.50/282.94 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% 282.50/282.94 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b1)
% 282.50/282.94 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 282.50/282.94 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (x1 x))
% 282.50/282.94 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (x1 x))
% 282.50/282.94 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (x1 x))
% 282.50/282.94 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (x1 x))
% 282.50/282.94 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 282.50/282.94 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 282.50/282.94 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 282.50/282.94 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b)
% 282.50/282.94 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 282.50/282.94 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 282.50/282.94 Found eq_ref000:=(eq_ref00 P3):((P3 b0)->(P3 b0))
% 282.50/282.94 Found (eq_ref00 P3) as proof of (P4 b0)
% 282.50/282.94 Found ((eq_ref0 b0) P3) as proof of (P4 b0)
% 282.50/282.94 Found (((eq_ref fofType) b0) P3) as proof of (P4 b0)
% 282.50/282.94 Found (((eq_ref fofType) b0) P3) as proof of (P4 b0)
% 282.50/282.94 Found eq_ref000:=(eq_ref00 P3):((P3 b0)->(P3 b0))
% 282.50/282.94 Found (eq_ref00 P3) as proof of (P4 b0)
% 282.50/282.94 Found ((eq_ref0 b0) P3) as proof of (P4 b0)
% 282.50/282.94 Found (((eq_ref fofType) b0) P3) as proof of (P4 b0)
% 282.50/282.94 Found (((eq_ref fofType) b0) P3) as proof of (P4 b0)
% 282.50/282.94 Found eq_ref000:=(eq_ref00 P1):((P1 b00)->(P1 b00))
% 282.50/282.94 Found (eq_ref00 P1) as proof of (P2 b00)
% 282.50/282.94 Found ((eq_ref0 b00) P1) as proof of (P2 b00)
% 282.50/282.94 Found (((eq_ref fofType) b00) P1) as proof of (P2 b00)
% 282.50/282.94 Found (((eq_ref fofType) b00) P1) as proof of (P2 b00)
% 282.50/282.94 Found eq_ref000:=(eq_ref00 P3):((P3 b)->(P3 b))
% 282.50/282.94 Found (eq_ref00 P3) as proof of (P4 b)
% 282.50/282.94 Found ((eq_ref0 b) P3) as proof of (P4 b)
% 282.50/282.94 Found (((eq_ref fofType) b) P3) as proof of (P4 b)
% 282.50/282.94 Found (((eq_ref fofType) b) P3) as proof of (P4 b)
% 282.50/282.94 Found eq_ref000:=(eq_ref00 P3):((P3 b)->(P3 b))
% 282.50/282.94 Found (eq_ref00 P3) as proof of (P4 b)
% 282.50/282.94 Found ((eq_ref0 b) P3) as proof of (P4 b)
% 285.97/286.41 Found (((eq_ref fofType) b) P3) as proof of (P4 b)
% 285.97/286.41 Found (((eq_ref fofType) b) P3) as proof of (P4 b)
% 285.97/286.41 Found eq_ref000:=(eq_ref00 P1):((P1 b00)->(P1 b00))
% 285.97/286.41 Found (eq_ref00 P1) as proof of (P2 b00)
% 285.97/286.41 Found ((eq_ref0 b00) P1) as proof of (P2 b00)
% 285.97/286.41 Found (((eq_ref fofType) b00) P1) as proof of (P2 b00)
% 285.97/286.41 Found (((eq_ref fofType) b00) P1) as proof of (P2 b00)
% 285.97/286.41 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 285.97/286.41 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 285.97/286.41 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 285.97/286.41 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 285.97/286.41 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 285.97/286.41 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 285.97/286.41 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 285.97/286.41 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 285.97/286.41 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 285.97/286.41 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 285.97/286.41 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 285.97/286.41 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 285.97/286.41 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 285.97/286.41 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 285.97/286.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 285.97/286.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 285.97/286.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 285.97/286.41 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 285.97/286.41 Found (eq_ref0 b) as proof of (((eq fofType) b) b00)
% 285.97/286.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 285.97/286.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 285.97/286.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b00)
% 285.97/286.41 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 285.97/286.41 Found (eq_ref0 b00) as proof of (((eq fofType) b00) (x00 y))
% 285.97/286.41 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 285.97/286.41 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 285.97/286.41 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) (x00 y))
% 285.97/286.41 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 285.97/286.41 Found (eq_ref0 b1) as proof of (((eq fofType) b1) a0)
% 285.97/286.41 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% 285.97/286.41 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% 285.97/286.41 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) a0)
% 285.97/286.41 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 285.97/286.41 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 285.97/286.41 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 285.97/286.41 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 285.97/286.41 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 285.97/286.41 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 285.97/286.41 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 285.97/286.41 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 285.97/286.41 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 285.97/286.41 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 285.97/286.41 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 285.97/286.41 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 285.97/286.41 Found (eq_ref0 a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) b1)
% 285.97/286.41 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 285.97/286.41 Found (eq_ref0 (x00 y)) as proof of (P1 (x00 y))
% 285.97/286.41 Found ((eq_ref fofType) (x00 y)) as proof of (P1 (x00 y))
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (P1 (x00 y))
% 289.60/290.01 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 289.60/290.01 Found (eq_ref0 (x00 y)) as proof of (P1 (x00 y))
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (P1 (x00 y))
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (P1 (x00 y))
% 289.60/290.01 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 289.60/290.01 Found (eq_ref0 (x00 y)) as proof of (P1 (x00 y))
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (P1 (x00 y))
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (P1 (x00 y))
% 289.60/290.01 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 289.60/290.01 Found (eq_ref0 (x00 y)) as proof of (P1 (x00 y))
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (P1 (x00 y))
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (P1 (x00 y))
% 289.60/290.01 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 289.60/290.01 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 289.60/290.01 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 289.60/290.01 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b0 x1))
% 289.60/290.01 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (b0 x)))
% 289.60/290.01 Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 289.60/290.01 Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 289.60/290.01 Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b0 x1))
% 289.60/290.01 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b0 x1))
% 289.60/290.01 Found (fun (x1:(fofType->fofType))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->fofType)), (((eq Prop) (f x)) (b0 x)))
% 289.60/290.01 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 289.60/290.01 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 289.60/290.01 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 289.60/290.01 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 289.60/290.01 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 289.60/290.01 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 289.60/290.01 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 289.60/290.01 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 289.60/290.01 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 289.60/290.01 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 289.60/290.01 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 289.60/290.01 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 289.60/290.01 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 289.60/290.01 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 292.01/292.42 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 292.01/292.42 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 292.01/292.42 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 292.01/292.42 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 292.01/292.42 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 292.01/292.42 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 292.01/292.42 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 292.01/292.42 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 292.01/292.42 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 292.01/292.42 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 292.01/292.42 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 292.01/292.42 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b00)
% 292.01/292.42 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 292.01/292.42 Found (eq_ref0 b) as proof of (((eq fofType) b) b01)
% 292.01/292.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 292.01/292.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 292.01/292.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b01)
% 292.01/292.42 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 292.01/292.42 Found (eq_ref0 b01) as proof of (((eq fofType) b01) b00)
% 292.01/292.42 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b00)
% 292.01/292.42 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b00)
% 292.01/292.42 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b00)
% 292.01/292.42 Found x1:(P b)
% 292.01/292.42 Instantiate: b1:=b:fofType
% 292.01/292.42 Found x1 as proof of (P0 b1)
% 292.01/292.42 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 292.01/292.42 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 292.01/292.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 292.01/292.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 292.01/292.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 292.01/292.42 Found x1:(P b)
% 292.01/292.42 Instantiate: b1:=b:fofType
% 292.01/292.42 Found x1 as proof of (P0 b1)
% 292.01/292.42 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 292.01/292.42 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 292.01/292.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 292.01/292.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 292.01/292.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 292.01/292.42 Found x1:(P b0)
% 292.01/292.42 Instantiate: b1:=b0:fofType
% 292.01/292.42 Found x1 as proof of (P0 b1)
% 292.01/292.42 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 292.01/292.42 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 292.01/292.42 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 292.01/292.42 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 292.01/292.42 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b1)
% 292.01/292.42 Found x1:(P b)
% 292.01/292.42 Instantiate: b1:=b:fofType
% 292.01/292.42 Found x1 as proof of (P0 b1)
% 292.01/292.42 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 292.01/292.42 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 292.01/292.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 292.01/292.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 292.01/292.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 292.01/292.42 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 292.01/292.42 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 292.01/292.42 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 292.01/292.42 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 292.01/292.42 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 292.01/292.42 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 292.01/292.42 Found (eq_ref0 b01) as proof of (((eq fofType) b01) b)
% 292.01/292.42 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 292.01/292.42 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 292.01/292.42 Found ((eq_ref fofType) b01) as proof of (((eq fofType) b01) b)
% 292.01/292.42 Found eq_ref00:=(eq_ref0 (x00 y)):(((eq fofType) (x00 y)) (x00 y))
% 292.01/292.42 Found (eq_ref0 (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 292.01/292.42 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 292.01/292.42 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 292.01/292.42 Found ((eq_ref fofType) (x00 y)) as proof of (((eq fofType) (x00 y)) b01)
% 292.01/292.42 Found eq_ref00:=(eq_ref0 b01):(((eq fofType) b01) b01)
% 292.01/292.42 Found (eq_ref0 b01) as proof of (((eq fofType) b01) b)
% 292.01/292.42 Found ((eq_ref fofType) b0
%------------------------------------------------------------------------------