TSTP Solution File: SYO885^1.033.003 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO885^1.033.003 : TPTP v7.5.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 00:52:44 EDT 2022
% Result : Timeout 289.99s 290.37s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO885^1.033.003 : TPTP v7.5.0. Released v7.5.0.
% 0.03/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n014.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 : Wed Mar 16 05:35:16 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.33 Python 2.7.5
% 1.92/2.07 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 1.92/2.07 FOF formula (<kernel.Constant object at 0x2a72bd8>, <kernel.Constant object at 0x2a72fc8>) of role type named a0_type
% 1.92/2.07 Using role type
% 1.92/2.07 Declaring a0:fofType
% 1.92/2.07 FOF formula (<kernel.Constant object at 0x278ccf8>, <kernel.Single object at 0x2a72dd0>) of role type named a1_type
% 1.92/2.07 Using role type
% 1.92/2.07 Declaring a1:fofType
% 1.92/2.07 FOF formula (<kernel.Constant object at 0x2a72878>, <kernel.Single object at 0x2a72ea8>) of role type named a2_type
% 1.92/2.07 Using role type
% 1.92/2.07 Declaring a2:fofType
% 1.92/2.07 FOF formula (<kernel.Constant object at 0x2a72e60>, <kernel.DependentProduct object at 0x2a72ea8>) of role type named f_type
% 1.92/2.07 Using role type
% 1.92/2.07 Declaring f:(fofType->(fofType->(fofType->fofType)))
% 1.92/2.07 FOF formula ((ex (fofType->(fofType->(fofType->fofType)))) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2))))) of role conjecture named goal
% 1.92/2.07 Conjecture to prove = ((ex (fofType->(fofType->(fofType->fofType)))) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2))))):Prop
% 1.92/2.07 We need to prove ['((ex (fofType->(fofType->(fofType->fofType)))) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2)))))']
% 1.92/2.07 Parameter fofType:Type.
% 1.92/2.07 Parameter a0:fofType.
% 1.92/2.07 Parameter a1:fofType.
% 1.92/2.07 Parameter a2:fofType.
% 1.92/2.07 Parameter f:(fofType->(fofType->(fofType->fofType))).
% 1.92/2.07 Trying to prove ((ex (fofType->(fofType->(fofType->fofType)))) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2)))))
% 1.92/2.07 Found eq_ref00:=(eq_ref0 (((x a2) a1) a0)):(((eq fofType) (((x a2) a1) a0)) (((x a2) a1) a0))
% 1.92/2.07 Found (eq_ref0 (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 1.92/2.07 Found ((eq_ref fofType) (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 1.92/2.07 Found ((eq_ref fofType) (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 1.92/2.07 Found ((eq_ref fofType) (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 1.92/2.07 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 1.92/2.07 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 1.92/2.07 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 1.92/2.07 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 1.92/2.07 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 1.92/2.07 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 1.92/2.07 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 1.92/2.07 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 1.92/2.07 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 1.92/2.07 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 1.92/2.07 Found eq_ref00:=(eq_ref0 (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2))))):(((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2))))) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2)))))
% 2.14/2.31 Found (eq_ref0 (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2))))) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2))))) b)
% 2.14/2.31 Found ((eq_ref ((fofType->(fofType->(fofType->fofType)))->Prop)) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2))))) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2))))) b)
% 2.14/2.31 Found ((eq_ref ((fofType->(fofType->(fofType->fofType)))->Prop)) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2))))) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2))))) b)
% 2.14/2.31 Found ((eq_ref ((fofType->(fofType->(fofType->fofType)))->Prop)) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2))))) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2))))) b)
% 2.14/2.31 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 2.14/2.31 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) ((and ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))))
% 2.14/2.31 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) ((and ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))))
% 2.14/2.31 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) ((and ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))))
% 2.14/2.31 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) ((and ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))))
% 2.14/2.31 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:(fofType->(fofType->(fofType->fofType)))), (((eq Prop) (f0 x)) ((and ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2)))))
% 2.14/2.31 Found eq_ref00:=(eq_ref0 (f0 x)):(((eq Prop) (f0 x)) (f0 x))
% 2.14/2.31 Found (eq_ref0 (f0 x)) as proof of (((eq Prop) (f0 x)) ((and ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))))
% 4.68/4.86 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) ((and ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))))
% 4.68/4.86 Found ((eq_ref Prop) (f0 x)) as proof of (((eq Prop) (f0 x)) ((and ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))))
% 4.68/4.86 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f0 x))) as proof of (((eq Prop) (f0 x)) ((and ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))))
% 4.68/4.86 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f0 x))) as proof of (forall (x:(fofType->(fofType->(fofType->fofType)))), (((eq Prop) (f0 x)) ((and ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2)))))
% 4.68/4.86 Found x01:(P (((x a0) a1) a2))
% 4.68/4.86 Found (fun (x01:(P (((x a0) a1) a2)))=> x01) as proof of (P (((x a0) a1) a2))
% 4.68/4.86 Found (fun (x01:(P (((x a0) a1) a2)))=> x01) as proof of (P0 (((x a0) a1) a2))
% 4.68/4.86 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 4.68/4.86 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 4.68/4.86 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 4.68/4.86 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 4.68/4.86 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 4.68/4.86 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 4.68/4.86 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 4.68/4.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 4.68/4.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 4.68/4.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 4.68/4.86 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 4.68/4.86 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 4.68/4.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 4.68/4.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 4.68/4.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 4.68/4.86 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 4.68/4.86 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 4.68/4.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 4.68/4.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 4.68/4.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 4.68/4.86 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 4.68/4.86 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 4.68/4.86 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 4.68/4.86 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 4.68/4.86 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 4.68/4.86 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 4.68/4.86 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 4.68/4.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 4.68/4.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 4.68/4.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 4.68/4.86 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 4.68/4.86 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 4.68/4.86 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 4.68/4.86 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 7.20/7.39 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 7.20/7.39 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 7.20/7.39 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 7.20/7.39 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 7.20/7.39 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 7.20/7.39 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 7.20/7.39 Found x01:(P (((x a0) a1) a2))
% 7.20/7.39 Found (fun (x01:(P (((x a0) a1) a2)))=> x01) as proof of (P (((x a0) a1) a2))
% 7.20/7.39 Found (fun (x01:(P (((x a0) a1) a2)))=> x01) as proof of (P0 (((x a0) a1) a2))
% 7.20/7.39 Found x01:(P (((x a0) a2) a1))
% 7.20/7.39 Found (fun (x01:(P (((x a0) a2) a1)))=> x01) as proof of (P (((x a0) a2) a1))
% 7.20/7.39 Found (fun (x01:(P (((x a0) a2) a1)))=> x01) as proof of (P0 (((x a0) a2) a1))
% 7.20/7.39 Found eta_expansion000:=(eta_expansion00 a):(((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) a) (fun (x:(fofType->(fofType->(fofType->fofType))))=> (a x)))
% 7.20/7.39 Found (eta_expansion00 a) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) a) b)
% 7.20/7.39 Found ((eta_expansion0 Prop) a) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) a) b)
% 7.20/7.39 Found (((eta_expansion (fofType->(fofType->(fofType->fofType)))) Prop) a) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) a) b)
% 7.20/7.39 Found (((eta_expansion (fofType->(fofType->(fofType->fofType)))) Prop) a) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) a) b)
% 7.20/7.39 Found (((eta_expansion (fofType->(fofType->(fofType->fofType)))) Prop) a) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) a) b)
% 7.20/7.39 Found eq_ref00:=(eq_ref0 b):(((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) b)
% 7.20/7.39 Found (eq_ref0 b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2)))))
% 7.20/7.39 Found ((eq_ref ((fofType->(fofType->(fofType->fofType)))->Prop)) b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2)))))
% 7.20/7.39 Found ((eq_ref ((fofType->(fofType->(fofType->fofType)))->Prop)) b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2)))))
% 7.20/7.39 Found ((eq_ref ((fofType->(fofType->(fofType->fofType)))->Prop)) b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2)))))
% 7.20/7.39 Found eq_ref00:=(eq_ref0 b):(((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) b)
% 7.20/7.39 Found (eq_ref0 b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2)))))
% 7.20/7.39 Found ((eq_ref ((fofType->(fofType->(fofType->fofType)))->Prop)) b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2)))))
% 7.20/7.39 Found ((eq_ref ((fofType->(fofType->(fofType->fofType)))->Prop)) b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2)))))
% 8.37/8.54 Found ((eq_ref ((fofType->(fofType->(fofType->fofType)))->Prop)) b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) (fun (F:(fofType->(fofType->(fofType->fofType))))=> ((and ((and (((eq fofType) (((F a0) a1) a2)) (((f a0) a1) a2))) (((eq fofType) (((F a0) a2) a1)) (((f a0) a1) a2)))) (((eq fofType) (((F a2) a1) a0)) (((f a0) a1) a2)))))
% 8.37/8.54 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 8.37/8.54 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 8.37/8.54 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 8.37/8.54 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 8.37/8.54 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 8.37/8.54 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 8.37/8.54 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 8.37/8.54 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 8.37/8.54 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 8.37/8.54 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 8.37/8.54 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 8.37/8.54 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 8.37/8.54 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 8.37/8.54 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 8.37/8.54 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 8.37/8.54 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 8.37/8.54 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 8.37/8.54 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 8.37/8.54 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 8.37/8.54 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 8.37/8.54 Found eq_ref00:=(eq_ref0 (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))):(((eq Prop) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2)))
% 8.37/8.54 Found (eq_ref0 (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))) as proof of (((eq Prop) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))) b)
% 8.37/8.54 Found ((eq_ref Prop) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))) as proof of (((eq Prop) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))) b)
% 8.37/8.54 Found ((eq_ref Prop) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))) as proof of (((eq Prop) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))) b)
% 8.37/8.54 Found ((eq_ref Prop) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))) as proof of (((eq Prop) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))) b)
% 8.37/8.54 Found eq_ref00:=(eq_ref0 (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))):(((eq Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))
% 8.37/8.54 Found (eq_ref0 (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) as proof of (((eq Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) b)
% 8.37/8.54 Found ((eq_ref Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) as proof of (((eq Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) b)
% 8.37/8.54 Found ((eq_ref Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) as proof of (((eq Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) b)
% 8.37/8.54 Found ((eq_ref Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) as proof of (((eq Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) b)
% 8.37/8.54 Found eq_ref00:=(eq_ref0 (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))):(((eq Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))
% 8.37/8.54 Found (eq_ref0 (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) as proof of (((eq Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) b)
% 8.37/8.54 Found ((eq_ref Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) as proof of (((eq Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) b)
% 12.46/12.66 Found ((eq_ref Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) as proof of (((eq Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) b)
% 12.46/12.66 Found ((eq_ref Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) as proof of (((eq Prop) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))) b)
% 12.46/12.66 Found x01:(P (((x a0) a1) a2))
% 12.46/12.66 Found (fun (x01:(P (((x a0) a1) a2)))=> x01) as proof of (P (((x a0) a1) a2))
% 12.46/12.66 Found (fun (x01:(P (((x a0) a1) a2)))=> x01) as proof of (P0 (((x a0) a1) a2))
% 12.46/12.66 Found x0:(P (((x a0) a1) a2))
% 12.46/12.66 Instantiate: b:=(((x a0) a1) a2):fofType
% 12.46/12.66 Found x0 as proof of (P0 b)
% 12.46/12.66 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 12.46/12.66 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 12.46/12.66 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 12.46/12.66 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 12.46/12.66 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 12.46/12.66 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 12.46/12.66 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 12.46/12.66 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 12.46/12.66 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 12.46/12.66 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 12.46/12.66 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 12.46/12.66 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 12.46/12.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 12.46/12.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 12.46/12.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 12.46/12.66 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 12.46/12.66 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 12.46/12.66 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 12.46/12.66 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 12.46/12.66 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 12.46/12.66 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 12.46/12.66 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 12.46/12.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 12.46/12.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 12.46/12.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 12.46/12.66 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 12.46/12.66 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 12.46/12.66 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 12.46/12.66 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 12.46/12.66 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 12.46/12.66 Found x0:(P0 b)
% 12.46/12.66 Instantiate: b:=(((f a0) a2) a1):fofType
% 12.46/12.66 Found (fun (x0:(P0 b))=> x0) as proof of (P0 (((x a0) a1) a2))
% 12.46/12.66 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 (((x a0) a1) a2)))
% 12.46/12.66 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of (P b)
% 12.46/12.66 Found x0:(P (((f a0) a1) a2))
% 12.46/12.66 Instantiate: b:=(((f a0) a1) a2):fofType
% 12.46/12.66 Found x0 as proof of (P0 b)
% 12.46/12.66 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 12.46/12.66 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 12.46/12.66 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 12.46/12.66 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 12.46/12.66 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 12.46/12.66 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 12.46/12.66 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 12.46/12.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 14.30/14.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 14.30/14.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 14.30/14.50 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 14.30/14.50 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 14.30/14.50 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 14.30/14.50 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 14.30/14.50 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 14.30/14.50 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 14.30/14.50 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 14.30/14.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 14.30/14.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 14.30/14.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 14.30/14.50 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 14.30/14.50 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 14.30/14.50 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 14.30/14.50 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 14.30/14.50 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 14.30/14.50 Found x02:(P (((x a0) a1) a2))
% 14.30/14.50 Found (fun (x02:(P (((x a0) a1) a2)))=> x02) as proof of (P (((x a0) a1) a2))
% 14.30/14.50 Found (fun (x02:(P (((x a0) a1) a2)))=> x02) as proof of (P0 (((x a0) a1) a2))
% 14.30/14.50 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 14.30/14.50 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 14.30/14.50 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 14.30/14.50 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 14.30/14.50 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 14.30/14.50 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 14.30/14.50 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 14.30/14.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 14.30/14.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 14.30/14.50 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 14.30/14.50 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 14.30/14.50 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 14.30/14.50 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 14.30/14.50 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 14.30/14.50 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 14.30/14.50 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 14.30/14.50 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 14.30/14.50 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 14.30/14.50 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 14.30/14.50 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 14.30/14.50 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 14.30/14.50 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 14.30/14.50 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 14.30/14.50 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 14.30/14.50 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 14.30/14.50 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 14.30/14.50 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 14.30/14.50 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 14.30/14.50 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 14.30/14.50 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 14.30/14.50 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 14.30/14.50 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 14.30/14.50 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 14.30/14.50 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 16.97/17.14 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 16.97/17.14 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 16.97/17.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 16.97/17.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 16.97/17.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 16.97/17.14 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 16.97/17.14 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 16.97/17.14 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 16.97/17.14 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 16.97/17.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 16.97/17.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 16.97/17.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 16.97/17.14 Found x0:(P (((x a0) a2) a1))
% 16.97/17.14 Instantiate: b:=(((x a0) a2) a1):fofType
% 16.97/17.14 Found x0 as proof of (P0 b)
% 16.97/17.14 Found x0:(P (((x a0) a1) a2))
% 16.97/17.14 Instantiate: b:=(((x a0) a1) a2):fofType
% 16.97/17.14 Found x0 as proof of (P0 b)
% 16.97/17.14 Found x01:(P (((x a0) a1) a2))
% 16.97/17.14 Found (fun (x01:(P (((x a0) a1) a2)))=> x01) as proof of (P (((x a0) a1) a2))
% 16.97/17.14 Found (fun (x01:(P (((x a0) a1) a2)))=> x01) as proof of (P0 (((x a0) a1) a2))
% 16.97/17.14 Found x01:(P (((x a0) a2) a1))
% 16.97/17.14 Found (fun (x01:(P (((x a0) a2) a1)))=> x01) as proof of (P (((x a0) a2) a1))
% 16.97/17.14 Found (fun (x01:(P (((x a0) a2) a1)))=> x01) as proof of (P0 (((x a0) a2) a1))
% 16.97/17.14 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 16.97/17.14 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 16.97/17.14 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 16.97/17.14 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 16.97/17.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 16.97/17.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 16.97/17.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 16.97/17.14 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 16.97/17.14 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 16.97/17.14 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 16.97/17.14 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 16.97/17.14 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 16.97/17.14 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 20.44/20.64 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 20.44/20.64 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 20.44/20.64 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 20.44/20.64 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 20.44/20.64 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 20.44/20.64 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 20.44/20.64 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 20.44/20.64 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 20.44/20.64 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 20.44/20.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 20.44/20.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 20.44/20.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 20.44/20.64 Found x00:(P b)
% 20.44/20.64 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 20.44/20.64 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 20.44/20.64 Found x02:(P (((f a0) a1) a2))
% 20.44/20.64 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P (((f a0) a1) a2))
% 20.44/20.64 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P0 (((f a0) a1) a2))
% 20.44/20.64 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 20.44/20.64 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 20.44/20.64 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 20.44/20.64 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 20.44/20.64 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 20.44/20.64 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 20.44/20.64 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 20.44/20.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 20.44/20.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 20.44/20.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 20.44/20.64 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 20.44/20.64 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 20.44/20.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 20.44/20.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 20.44/20.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 20.44/20.64 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 20.44/20.64 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 20.44/20.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 20.44/20.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 20.44/20.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 20.44/20.64 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 20.44/20.64 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 20.44/20.64 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 20.44/20.64 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 20.44/20.64 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 20.44/20.64 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 20.44/20.64 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 20.44/20.64 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 20.44/20.64 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 20.44/20.64 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 20.44/20.64 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 20.44/20.64 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 20.44/20.64 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 20.44/20.64 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 20.44/20.64 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 20.44/20.64 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 23.46/23.63 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 23.46/23.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 23.46/23.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 23.46/23.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 23.46/23.63 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 23.46/23.63 Found (eq_ref0 a) as proof of (((eq fofType) a) a1)
% 23.46/23.63 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 23.46/23.63 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 23.46/23.63 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 23.46/23.63 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 23.46/23.63 Found (eq_ref0 a) as proof of (((eq fofType) a) a1)
% 23.46/23.63 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 23.46/23.63 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 23.46/23.63 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 23.46/23.63 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 23.46/23.63 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 23.46/23.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 23.46/23.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 23.46/23.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 23.46/23.63 Found x0:(P0 b)
% 23.46/23.63 Instantiate: b:=(((f a1) a2) a0):fofType
% 23.46/23.63 Found (fun (x0:(P0 b))=> x0) as proof of (P0 (((x a0) a2) a1))
% 23.46/23.63 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 (((x a0) a2) a1)))
% 23.46/23.63 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of (P b)
% 23.46/23.63 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 23.46/23.63 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 23.46/23.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 23.46/23.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 23.46/23.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 23.46/23.63 Found x0:(P0 b)
% 23.46/23.63 Instantiate: b:=(((f a2) a1) a0):fofType
% 23.46/23.63 Found (fun (x0:(P0 b))=> x0) as proof of (P0 (((x a0) a1) a2))
% 23.46/23.63 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 (((x a0) a1) a2)))
% 23.46/23.63 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of (P b)
% 23.46/23.63 Found x02:(P (((x a0) a1) a2))
% 23.46/23.63 Found (fun (x02:(P (((x a0) a1) a2)))=> x02) as proof of (P (((x a0) a1) a2))
% 23.46/23.63 Found (fun (x02:(P (((x a0) a1) a2)))=> x02) as proof of (P0 (((x a0) a1) a2))
% 23.46/23.63 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 23.46/23.63 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 23.46/23.63 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 23.46/23.63 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 23.46/23.63 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 23.46/23.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 23.46/23.63 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 23.46/23.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 23.46/23.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 23.46/23.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 23.46/23.63 Found x02:(P (((x a0) a2) a1))
% 23.46/23.63 Found (fun (x02:(P (((x a0) a2) a1)))=> x02) as proof of (P (((x a0) a2) a1))
% 23.46/23.63 Found (fun (x02:(P (((x a0) a2) a1)))=> x02) as proof of (P0 (((x a0) a2) a1))
% 23.46/23.63 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 23.46/23.63 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 23.46/23.63 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 23.46/23.63 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 23.46/23.63 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 23.46/23.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 23.46/23.63 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 23.46/23.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 26.44/26.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 26.44/26.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 26.44/26.63 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 26.44/26.63 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 26.44/26.63 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 26.44/26.63 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 26.44/26.63 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 26.44/26.63 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 26.44/26.63 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 26.44/26.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 26.44/26.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 26.44/26.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 26.44/26.63 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 26.44/26.63 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 26.44/26.63 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 26.44/26.63 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 26.44/26.63 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 26.44/26.63 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 26.44/26.63 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 26.44/26.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 26.44/26.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 26.44/26.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 26.44/26.63 Found x01:(P b)
% 26.44/26.63 Found (fun (x01:(P b))=> x01) as proof of (P b)
% 26.44/26.63 Found (fun (x01:(P b))=> x01) as proof of (P0 b)
% 26.44/26.63 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 26.44/26.63 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 26.44/26.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 26.44/26.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 26.44/26.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 26.44/26.63 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 26.44/26.63 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 26.44/26.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 26.44/26.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 26.44/26.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 26.44/26.63 Found x0:(P (((f a0) a1) a2))
% 26.44/26.63 Instantiate: b:=(((f a0) a1) a2):fofType
% 26.44/26.63 Found x0 as proof of (P0 b)
% 26.44/26.63 Found x0:(P (((f a0) a1) a2))
% 26.44/26.63 Instantiate: b:=(((f a0) a1) a2):fofType
% 26.44/26.63 Found x0 as proof of (P0 b)
% 26.44/26.63 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 26.44/26.63 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 26.44/26.63 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 26.44/26.63 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 26.44/26.63 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 26.44/26.63 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 26.44/26.63 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 26.44/26.63 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 26.44/26.63 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 26.44/26.63 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 26.44/26.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 26.44/26.63 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 26.44/26.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 26.44/26.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 26.44/26.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 26.44/26.63 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 31.17/31.36 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 31.17/31.36 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 31.17/31.36 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 31.17/31.36 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 31.17/31.36 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 31.17/31.36 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 31.17/31.36 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 31.17/31.36 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 31.17/31.36 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 31.17/31.36 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 31.17/31.36 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 31.17/31.36 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 31.17/31.36 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 31.17/31.36 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 31.17/31.36 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 31.17/31.36 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 31.17/31.36 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 31.17/31.36 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 31.17/31.36 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 31.17/31.36 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 31.17/31.36 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 31.17/31.36 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 31.17/31.36 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 31.17/31.36 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 31.17/31.36 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 31.17/31.36 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 31.17/31.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 31.17/31.36 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 32.78/33.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 32.78/33.02 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 32.78/33.02 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 32.78/33.02 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 32.78/33.02 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 32.78/33.02 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 32.78/33.02 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 32.78/33.02 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 32.78/33.02 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 32.78/33.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 32.78/33.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 32.78/33.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 32.78/33.02 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 32.78/33.02 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 32.78/33.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 32.78/33.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 32.78/33.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 32.78/33.02 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 32.78/33.02 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 32.78/33.02 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 32.78/33.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 32.78/33.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 32.78/33.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 32.78/33.02 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 32.78/33.02 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 32.78/33.02 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 32.78/33.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 32.78/33.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 32.78/33.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 32.78/33.02 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 32.78/33.02 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 32.78/33.02 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 32.78/33.02 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 36.37/36.56 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 36.37/36.56 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 36.37/36.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 36.37/36.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 36.37/36.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 36.37/36.56 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 36.37/36.56 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 36.37/36.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 36.37/36.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 36.37/36.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 36.37/36.56 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 36.37/36.56 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 36.37/36.56 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 36.37/36.56 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 36.37/36.56 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 36.37/36.56 Found x00:(P b)
% 36.37/36.56 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 36.37/36.56 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 36.37/36.56 Found x00:(P b)
% 36.37/36.56 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 36.37/36.56 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 36.37/36.56 Found x02:(P (((f a0) a1) a2))
% 36.37/36.56 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P (((f a0) a1) a2))
% 36.37/36.56 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P0 (((f a0) a1) a2))
% 36.37/36.56 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 36.37/36.56 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 36.37/36.56 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 36.37/36.56 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 36.37/36.56 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 36.37/36.56 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 36.37/36.56 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 36.37/36.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 36.37/36.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 36.37/36.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 36.37/36.56 Found x02:(P (((f a0) a1) a2))
% 36.37/36.56 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P (((f a0) a1) a2))
% 36.37/36.56 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P0 (((f a0) a1) a2))
% 36.37/36.56 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 36.37/36.56 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 36.37/36.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 36.37/36.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 36.37/36.56 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 36.37/36.56 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 36.37/36.56 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 36.37/36.56 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 36.37/36.56 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 36.37/36.56 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 36.37/36.56 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 36.37/36.56 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 36.37/36.56 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 36.37/36.56 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 36.37/36.56 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 36.37/36.56 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 36.37/36.56 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 36.37/36.56 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 36.37/36.56 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 36.37/36.56 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 39.14/39.32 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 39.14/39.32 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 39.14/39.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 39.14/39.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 39.14/39.32 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 39.14/39.32 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 39.14/39.32 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 39.14/39.32 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 39.14/39.32 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 39.14/39.32 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 39.14/39.32 Found x0:(P (((x a0) a1) a2))
% 39.14/39.32 Instantiate: b:=(((x a0) a1) a2):fofType
% 39.14/39.32 Found x0 as proof of (P0 b)
% 39.14/39.32 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 39.14/39.32 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 39.14/39.32 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 39.14/39.32 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 39.14/39.32 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 39.14/39.32 Found eta_expansion:=(fun (A:Type) (B:Type)=> ((eta_expansion_dep A) (fun (x1:A)=> B))):(forall (A:Type) (B:Type) (f:(A->B)), (((eq (A->B)) f) (fun (x:A)=> (f x))))
% 39.14/39.32 Instantiate: b:=(forall (A:Type) (B:Type) (f:(A->B)), (((eq (A->B)) f) (fun (x:A)=> (f x)))):Prop
% 39.14/39.32 Found eta_expansion as proof of b
% 39.14/39.32 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 39.14/39.32 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 39.14/39.32 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 39.14/39.32 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 39.14/39.32 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 39.14/39.32 Found ((conj10 ((eq_ref fofType) (((x a0) a1) a2))) eta_expansion) as proof of ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) b)
% 39.14/39.32 Found (((conj1 b) ((eq_ref fofType) (((x a0) a1) a2))) eta_expansion) as proof of ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) b)
% 39.14/39.32 Found ((((conj (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) b) ((eq_ref fofType) (((x a0) a1) a2))) eta_expansion) as proof of ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) b)
% 39.14/39.32 Found ((((conj (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) b) ((eq_ref fofType) (((x a0) a1) a2))) eta_expansion) as proof of ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) b)
% 39.14/39.32 Found ((((conj (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) b) ((eq_ref fofType) (((x a0) a1) a2))) eta_expansion) as proof of (P b)
% 39.14/39.32 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 39.14/39.32 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 39.14/39.32 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 39.14/39.32 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 39.14/39.32 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 39.14/39.32 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 39.14/39.32 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 39.14/39.32 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 39.14/39.32 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 39.14/39.32 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 39.14/39.32 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 39.14/39.32 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 39.14/39.32 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 39.14/39.32 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 39.14/39.32 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 39.14/39.32 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 39.14/39.32 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 39.14/39.32 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 39.14/39.32 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 39.14/39.32 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 43.24/43.42 Found eta_expansion:=(fun (A:Type) (B:Type)=> ((eta_expansion_dep A) (fun (x1:A)=> B))):(forall (A:Type) (B:Type) (f:(A->B)), (((eq (A->B)) f) (fun (x:A)=> (f x))))
% 43.24/43.42 Instantiate: b:=(forall (A:Type) (B:Type) (f:(A->B)), (((eq (A->B)) f) (fun (x:A)=> (f x)))):Prop
% 43.24/43.42 Found eta_expansion as proof of b
% 43.24/43.42 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 43.24/43.42 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 43.24/43.42 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 43.24/43.42 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 43.24/43.42 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 43.24/43.42 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 43.24/43.42 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 43.24/43.42 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 43.24/43.42 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 43.24/43.42 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 43.24/43.42 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 43.24/43.42 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 43.24/43.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 43.24/43.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 43.24/43.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 43.24/43.42 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 43.24/43.42 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 43.24/43.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 43.24/43.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 43.24/43.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 43.24/43.42 Found x0:(P0 b)
% 43.24/43.42 Instantiate: b:=(((f a0) a2) a1):fofType
% 43.24/43.42 Found (fun (x0:(P0 b))=> x0) as proof of (P0 (((x a0) a1) a2))
% 43.24/43.42 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 (((x a0) a1) a2)))
% 43.24/43.42 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of (P b)
% 43.24/43.42 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 43.24/43.42 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 43.24/43.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 43.24/43.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 43.24/43.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 43.24/43.42 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 43.24/43.42 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 43.24/43.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 43.24/43.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 43.24/43.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 43.24/43.42 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 43.24/43.42 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 43.24/43.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 43.24/43.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 43.24/43.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 43.24/43.42 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 43.24/43.42 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 43.24/43.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 43.24/43.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 43.24/43.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 43.24/43.42 Found x0:(P (((f a0) a1) a2))
% 43.24/43.42 Instantiate: b:=(((f a0) a1) a2):fofType
% 43.24/43.42 Found x0 as proof of (P0 b)
% 43.24/43.42 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 43.24/43.42 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 49.78/49.98 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 49.78/49.98 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 49.78/49.98 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 49.78/49.98 Found x00:(P (((f a0) a1) a2))
% 49.78/49.98 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 49.78/49.98 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 49.78/49.98 Found x00:(P (((f a0) a1) a2))
% 49.78/49.98 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 49.78/49.98 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 49.78/49.98 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 49.78/49.98 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 49.78/49.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 49.78/49.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 49.78/49.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 49.78/49.98 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 49.78/49.98 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 49.78/49.98 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 49.78/49.98 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 49.78/49.98 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 49.78/49.98 Found x02:(P (((x a0) a1) a2))
% 49.78/49.98 Found (fun (x02:(P (((x a0) a1) a2)))=> x02) as proof of (P (((x a0) a1) a2))
% 49.78/49.98 Found (fun (x02:(P (((x a0) a1) a2)))=> x02) as proof of (P0 (((x a0) a1) a2))
% 49.78/49.98 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 49.78/49.98 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 49.78/49.98 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 49.78/49.98 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 49.78/49.98 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 49.78/49.98 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 49.78/49.98 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 49.78/49.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 49.78/49.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 49.78/49.98 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 49.78/49.98 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 49.78/49.98 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 49.78/49.98 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 49.78/49.98 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 49.78/49.98 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 49.78/49.98 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 49.78/49.98 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 49.78/49.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 49.78/49.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 49.78/49.98 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 49.78/49.98 Found iff_sym:=(fun (A:Prop) (B:Prop) (H:((iff A) B))=> ((((conj (B->A)) (A->B)) (((proj2 (A->B)) (B->A)) H)) (((proj1 (A->B)) (B->A)) H))):(forall (A:Prop) (B:Prop), (((iff A) B)->((iff B) A)))
% 49.78/49.98 Instantiate: b:=(forall (A:Prop) (B:Prop), (((iff A) B)->((iff B) A))):Prop
% 49.78/49.98 Found iff_sym as proof of b
% 49.78/49.98 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 49.78/49.98 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 49.78/49.98 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 49.78/49.98 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 49.78/49.98 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 49.78/49.98 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 49.78/49.98 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 49.78/49.98 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 49.78/49.98 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 49.78/49.98 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 49.78/49.98 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 52.86/53.11 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 52.86/53.11 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 52.86/53.11 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 52.86/53.11 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 52.86/53.11 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 52.86/53.11 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2)))
% 52.86/53.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2)))
% 52.86/53.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2)))
% 52.86/53.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2)))
% 52.86/53.11 Found x0:(P (((x a0) a1) a2))
% 52.86/53.11 Instantiate: b:=(((x a0) a1) a2):fofType
% 52.86/53.11 Found x0 as proof of (P0 b)
% 52.86/53.11 Found x0:(P (((x a0) a2) a1))
% 52.86/53.11 Instantiate: b:=(((x a0) a2) a1):fofType
% 52.86/53.11 Found x0 as proof of (P0 b)
% 52.86/53.11 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 52.86/53.11 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 52.86/53.11 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 52.86/53.11 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 52.86/53.11 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 52.86/53.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 52.86/53.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 52.86/53.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 52.86/53.11 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 52.86/53.11 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 52.86/53.11 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 52.86/53.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 52.86/53.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 52.86/53.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 52.86/53.11 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 52.86/53.11 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 52.86/53.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 52.86/53.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 52.86/53.11 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 52.86/53.11 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 52.86/53.11 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 52.86/53.11 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 58.20/58.41 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 58.20/58.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 58.20/58.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 58.20/58.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 58.20/58.41 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 58.20/58.41 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 58.20/58.41 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 58.20/58.41 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 58.20/58.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 58.20/58.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 58.20/58.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 58.20/58.41 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 58.20/58.41 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 58.20/58.41 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 58.20/58.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 58.20/58.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 58.20/58.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 58.20/58.41 Found x00:(P b)
% 58.20/58.41 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 58.20/58.41 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 58.20/58.41 Found x00:(P b)
% 58.20/58.41 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 58.20/58.41 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 58.20/58.41 Found x0:(P (((f a0) a1) a2))
% 58.20/58.41 Instantiate: b:=(((f a0) a1) a2):fofType
% 58.20/58.41 Found x0 as proof of (P0 b)
% 58.20/58.41 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 58.20/58.41 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 58.20/58.41 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 58.20/58.41 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 58.20/58.41 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 58.20/58.41 Found x02:(P (((f a0) a1) a2))
% 58.20/58.41 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P (((f a0) a1) a2))
% 58.20/58.41 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P0 (((f a0) a1) a2))
% 58.20/58.41 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 58.20/58.41 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 58.20/58.41 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 58.20/58.41 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 58.20/58.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 58.20/58.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 58.20/58.41 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 60.98/61.20 Found x02:(P (((f a0) a1) a2))
% 60.98/61.20 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P (((f a0) a1) a2))
% 60.98/61.20 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P0 (((f a0) a1) a2))
% 60.98/61.20 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 60.98/61.20 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 60.98/61.20 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 60.98/61.20 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 60.98/61.20 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 60.98/61.20 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 60.98/61.20 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 60.98/61.20 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 60.98/61.20 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 60.98/61.20 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 60.98/61.20 Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) (fun (x:(fofType->(fofType->(fofType->fofType))))=> (b x)))
% 60.98/61.20 Found (eta_expansion_dep00 b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) b0)
% 60.98/61.20 Found ((eta_expansion_dep0 (fun (x1:(fofType->(fofType->(fofType->fofType))))=> Prop)) b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) b0)
% 60.98/61.20 Found (((eta_expansion_dep (fofType->(fofType->(fofType->fofType)))) (fun (x1:(fofType->(fofType->(fofType->fofType))))=> Prop)) b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) b0)
% 60.98/61.20 Found (((eta_expansion_dep (fofType->(fofType->(fofType->fofType)))) (fun (x1:(fofType->(fofType->(fofType->fofType))))=> Prop)) b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) b0)
% 60.98/61.20 Found (((eta_expansion_dep (fofType->(fofType->(fofType->fofType)))) (fun (x1:(fofType->(fofType->(fofType->fofType))))=> Prop)) b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) b0)
% 60.98/61.20 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 60.98/61.20 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 60.98/61.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 60.98/61.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 60.98/61.20 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 60.98/61.20 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 60.98/61.20 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))
% 60.98/61.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))
% 60.98/61.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))
% 60.98/61.20 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))
% 60.98/61.20 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 60.98/61.20 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 60.98/61.20 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 60.98/61.20 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 60.98/61.20 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 60.98/61.20 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 60.98/61.20 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 60.98/61.20 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 60.98/61.20 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 60.98/61.20 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 60.98/61.20 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 60.98/61.20 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 60.98/61.20 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 60.98/61.20 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 60.98/61.20 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 60.98/61.20 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 60.98/61.20 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 62.84/63.05 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 62.84/63.05 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 62.84/63.05 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 62.84/63.05 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 62.84/63.05 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 62.84/63.05 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 62.84/63.05 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 62.84/63.05 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 62.84/63.05 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 62.84/63.05 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 62.84/63.05 Found (eq_ref0 b) as proof of (((eq Prop) b) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))
% 62.84/63.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))
% 62.84/63.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))
% 62.84/63.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2)))
% 62.84/63.05 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 62.84/63.05 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 62.84/63.05 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 62.84/63.05 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 62.84/63.05 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 62.84/63.05 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 62.84/63.05 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 62.84/63.05 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 62.84/63.05 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 62.84/63.05 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 62.84/63.05 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 62.84/63.05 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 62.84/63.05 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 62.84/63.05 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 62.84/63.05 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 62.84/63.05 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 62.84/63.05 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 62.84/63.05 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 62.84/63.05 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 65.68/65.86 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 65.68/65.86 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 65.68/65.86 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 65.68/65.86 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 65.68/65.86 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 65.68/65.86 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 65.68/65.86 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 65.68/65.86 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 65.68/65.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 65.68/65.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 65.68/65.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 65.68/65.86 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 65.68/65.86 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 65.68/65.86 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 65.68/65.86 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 65.68/65.86 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 65.68/65.86 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 65.68/65.86 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 65.68/65.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 65.68/65.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 65.68/65.86 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 65.68/65.86 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 65.68/65.86 Found (eq_ref0 a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 65.68/65.86 Found (eq_ref0 a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 65.68/65.86 Found (eq_ref0 a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 65.68/65.86 Found (eq_ref0 a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 65.68/65.86 Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% 65.68/65.86 Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 65.68/65.86 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 65.68/65.86 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 65.68/65.86 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% 65.68/65.86 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:(fofType->(fofType->(fofType->fofType)))), (((eq Prop) (f1 x)) (f0 x)))
% 65.68/65.86 Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% 65.68/65.86 Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 65.68/65.86 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 65.68/65.86 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 65.68/65.86 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% 65.68/65.86 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:(fofType->(fofType->(fofType->fofType)))), (((eq Prop) (f1 x)) (f0 x)))
% 65.68/65.86 Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% 65.68/65.86 Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 68.82/69.06 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 68.82/69.06 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 68.82/69.06 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% 68.82/69.06 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:(fofType->(fofType->(fofType->fofType)))), (((eq Prop) (f1 x)) (f0 x)))
% 68.82/69.06 Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% 68.82/69.06 Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 68.82/69.06 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 68.82/69.06 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 68.82/69.06 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% 68.82/69.06 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:(fofType->(fofType->(fofType->fofType)))), (((eq Prop) (f1 x)) (f0 x)))
% 68.82/69.06 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 68.82/69.06 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 68.82/69.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 68.82/69.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 68.82/69.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 68.82/69.06 Found x0:(P0 b)
% 68.82/69.06 Instantiate: b:=(((f a2) a1) a0):fofType
% 68.82/69.06 Found (fun (x0:(P0 b))=> x0) as proof of (P0 (((x a0) a1) a2))
% 68.82/69.06 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 (((x a0) a1) a2)))
% 68.82/69.06 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of (P b)
% 68.82/69.06 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 68.82/69.06 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 68.82/69.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 68.82/69.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 68.82/69.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 68.82/69.06 Found x0:(P0 b)
% 68.82/69.06 Instantiate: b:=(((f a1) a2) a0):fofType
% 68.82/69.06 Found (fun (x0:(P0 b))=> x0) as proof of (P0 (((x a0) a2) a1))
% 68.82/69.06 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 (((x a0) a2) a1)))
% 68.82/69.06 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of (P b)
% 68.82/69.06 Found x02:(P (((x a0) a1) a2))
% 68.82/69.06 Found (fun (x02:(P (((x a0) a1) a2)))=> x02) as proof of (P (((x a0) a1) a2))
% 68.82/69.06 Found (fun (x02:(P (((x a0) a1) a2)))=> x02) as proof of (P0 (((x a0) a1) a2))
% 68.82/69.06 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 68.82/69.06 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 68.82/69.06 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 68.82/69.06 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 68.82/69.06 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 68.82/69.06 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 68.82/69.06 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 68.82/69.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 68.82/69.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 68.82/69.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 68.82/69.06 Found x02:(P (((x a0) a2) a1))
% 68.82/69.06 Found (fun (x02:(P (((x a0) a2) a1)))=> x02) as proof of (P (((x a0) a2) a1))
% 68.82/69.06 Found (fun (x02:(P (((x a0) a2) a1)))=> x02) as proof of (P0 (((x a0) a2) a1))
% 68.82/69.06 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 68.82/69.06 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 68.82/69.06 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 68.82/69.06 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 68.82/69.06 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 72.87/73.12 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 72.87/73.12 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 72.87/73.12 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 72.87/73.12 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 72.87/73.12 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 72.87/73.12 Found x00:(P (((f a0) a1) a2))
% 72.87/73.12 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 72.87/73.12 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 72.87/73.12 Found x00:(P (((f a0) a1) a2))
% 72.87/73.12 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 72.87/73.12 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 72.87/73.12 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 72.87/73.12 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 72.87/73.12 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 72.87/73.12 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 72.87/73.12 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 72.87/73.12 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 72.87/73.12 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 72.87/73.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 72.87/73.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 72.87/73.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 72.87/73.12 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 72.87/73.12 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 72.87/73.12 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 72.87/73.12 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 72.87/73.12 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 72.87/73.12 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 72.87/73.12 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 72.87/73.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 72.87/73.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 72.87/73.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 72.87/73.12 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 72.87/73.12 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 72.87/73.12 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 72.87/73.12 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 72.87/73.12 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 72.87/73.12 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 72.87/73.12 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 72.87/73.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 72.87/73.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 72.87/73.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 72.87/73.12 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 72.87/73.12 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 72.87/73.12 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 72.87/73.12 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 72.87/73.12 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 72.87/73.12 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 72.87/73.12 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 72.87/73.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 72.87/73.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 72.87/73.12 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 72.87/73.12 Found x0:(P (((f a0) a1) a2))
% 72.87/73.12 Instantiate: b:=(((f a0) a1) a2):fofType
% 72.87/73.12 Found x0 as proof of (P0 b)
% 72.87/73.12 Found x0:(P (((f a0) a1) a2))
% 72.87/73.12 Instantiate: b:=(((f a0) a1) a2):fofType
% 72.87/73.12 Found x0 as proof of (P0 b)
% 72.87/73.12 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 76.04/76.28 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 76.04/76.28 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 76.04/76.28 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 76.04/76.28 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 76.04/76.28 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 76.04/76.28 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 76.04/76.28 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 76.04/76.28 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 76.04/76.28 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 76.04/76.28 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 76.04/76.28 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 76.04/76.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 76.04/76.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 76.04/76.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 76.04/76.28 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 76.04/76.28 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 76.04/76.28 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 76.04/76.28 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 76.04/76.28 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 76.04/76.28 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 76.04/76.28 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 76.04/76.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 76.04/76.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 76.04/76.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 76.04/76.28 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 76.04/76.28 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 76.04/76.28 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 76.04/76.28 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 76.04/76.28 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 76.04/76.28 Found x0:(P (((x a0) a1) a2))
% 76.04/76.28 Instantiate: a:=(((x a0) a1) a2):fofType
% 76.04/76.28 Found x0 as proof of (P0 a)
% 76.04/76.28 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 76.04/76.28 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 76.04/76.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 76.04/76.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 76.04/76.28 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 76.04/76.28 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 76.04/76.28 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 76.04/76.28 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 76.04/76.28 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 76.04/76.28 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 76.04/76.28 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 76.04/76.28 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 76.04/76.28 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 76.04/76.28 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 76.04/76.28 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 76.04/76.28 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 76.04/76.28 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 76.04/76.28 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 76.04/76.28 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 76.04/76.28 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 76.04/76.28 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 76.04/76.28 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 76.04/76.28 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 76.04/76.28 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 76.04/76.28 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 76.04/76.28 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 76.04/76.28 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 85.75/85.99 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 85.75/85.99 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 85.75/85.99 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 85.75/85.99 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 85.75/85.99 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 85.75/85.99 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 85.75/85.99 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 85.75/85.99 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 85.75/85.99 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 85.75/85.99 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 85.75/85.99 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 85.75/85.99 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 85.75/85.99 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 85.75/85.99 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 85.75/85.99 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 85.75/85.99 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 85.75/85.99 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 85.75/85.99 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 85.75/85.99 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 85.75/85.99 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 85.75/85.99 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 85.75/85.99 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 85.75/85.99 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 85.75/85.99 Found x0:(P2 b)
% 85.75/85.99 Instantiate: b:=(((f a0) a2) a1):fofType
% 85.75/85.99 Found (fun (x0:(P2 b))=> x0) as proof of (P2 (((x a0) a1) a2))
% 85.75/85.99 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 (((x a0) a1) a2)))
% 85.75/85.99 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b)
% 85.75/85.99 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 85.75/85.99 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 85.75/85.99 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 85.75/85.99 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 85.75/85.99 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 85.75/85.99 Found x0:(P2 b)
% 85.75/85.99 Instantiate: b:=(((f a0) a2) a1):fofType
% 85.75/85.99 Found (fun (x0:(P2 b))=> x0) as proof of (P2 (((x a0) a1) a2))
% 85.75/85.99 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 (((x a0) a1) a2)))
% 85.75/85.99 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b)
% 85.75/85.99 Found x0:(P1 (((f a0) a1) a2))
% 85.75/85.99 Instantiate: b:=(((f a0) a1) a2):fofType
% 85.75/85.99 Found x0 as proof of (P2 b)
% 85.75/85.99 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 85.75/85.99 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 85.75/85.99 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 85.75/85.99 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 85.75/85.99 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 85.75/85.99 Found x0:(P1 (((f a0) a1) a2))
% 85.75/85.99 Instantiate: b:=(((f a0) a1) a2):fofType
% 85.75/85.99 Found x0 as proof of (P2 b)
% 85.75/85.99 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 85.75/85.99 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 85.75/85.99 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 85.75/85.99 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 85.75/85.99 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 85.75/85.99 Found x01:(P b)
% 85.75/85.99 Found (fun (x01:(P b))=> x01) as proof of (P b)
% 85.75/85.99 Found (fun (x01:(P b))=> x01) as proof of (P0 b)
% 85.75/85.99 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 89.80/90.04 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 89.80/90.04 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 89.80/90.04 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 89.80/90.04 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 89.80/90.04 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 89.80/90.04 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 89.80/90.04 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 89.80/90.04 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 89.80/90.04 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 89.80/90.04 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 89.80/90.04 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 89.80/90.04 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 89.80/90.04 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 89.80/90.04 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 89.80/90.04 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 89.80/90.04 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 89.80/90.04 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 89.80/90.04 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 89.80/90.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 89.80/90.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 89.80/90.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 89.80/90.04 Found x0:(P (((f a0) a1) a2))
% 89.80/90.04 Instantiate: b:=(((f a0) a1) a2):fofType
% 89.80/90.04 Found x0 as proof of (P0 b)
% 89.80/90.04 Found x0:(P (((f a0) a1) a2))
% 89.80/90.04 Instantiate: b:=(((f a0) a1) a2):fofType
% 89.80/90.04 Found x0 as proof of (P0 b)
% 89.80/90.04 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 89.80/90.04 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 89.80/90.04 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 89.80/90.04 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 89.80/90.04 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 89.80/90.04 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 89.80/90.04 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 89.80/90.04 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 89.80/90.04 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 89.80/90.04 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 89.80/90.04 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 89.80/90.04 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 89.80/90.04 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 89.80/90.04 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 89.80/90.04 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 89.80/90.04 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 89.80/90.04 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 91.49/91.69 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 91.49/91.69 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 91.49/91.69 Found x0:(P b)
% 91.49/91.69 Instantiate: b0:=b:fofType
% 91.49/91.69 Found x0 as proof of (P0 b0)
% 91.49/91.69 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 91.49/91.69 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 91.49/91.69 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 91.49/91.69 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 91.49/91.69 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 91.49/91.69 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 91.49/91.69 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 91.49/91.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 91.49/91.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 91.49/91.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 91.49/91.69 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 91.49/91.69 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 91.49/91.69 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 91.49/91.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 91.49/91.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 91.49/91.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 91.49/91.69 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 91.49/91.69 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 91.49/91.69 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 91.49/91.69 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 91.49/91.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 91.49/91.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 91.49/91.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 91.49/91.69 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 91.49/91.69 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 91.49/91.69 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 91.49/91.69 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 91.49/91.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 91.49/91.69 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 92.70/92.93 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 92.70/92.93 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 92.70/92.93 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 92.70/92.93 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 92.70/92.93 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 92.70/92.93 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 92.70/92.93 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 92.70/92.93 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 92.70/92.93 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 92.70/92.93 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 92.70/92.93 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 92.70/92.93 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 92.70/92.93 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 92.70/92.93 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 92.70/92.93 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 92.70/92.93 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 92.70/92.93 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 92.70/92.93 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 96.82/97.06 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 96.82/97.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 96.82/97.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 96.82/97.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 96.82/97.06 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 96.82/97.06 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 96.82/97.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 96.82/97.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 96.82/97.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 96.82/97.06 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 96.82/97.06 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 96.82/97.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 96.82/97.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 96.82/97.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 96.82/97.06 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 96.82/97.06 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 96.82/97.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 96.82/97.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 96.82/97.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 96.82/97.06 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 96.82/97.06 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 96.82/97.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 96.82/97.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 96.82/97.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 96.82/97.06 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 96.82/97.06 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 96.82/97.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 96.82/97.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 96.82/97.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 96.82/97.06 Found x0:(P b)
% 96.82/97.06 Found x0 as proof of (P0 (((x a0) a1) a2))
% 96.82/97.06 Found x10:(P1 (((f a0) a1) a2))
% 96.82/97.06 Found (fun (x10:(P1 (((f a0) a1) a2)))=> x10) as proof of (P1 (((f a0) a1) a2))
% 96.82/97.06 Found (fun (x10:(P1 (((f a0) a1) a2)))=> x10) as proof of (P2 (((f a0) a1) a2))
% 96.82/97.06 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 96.82/97.06 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 96.82/97.06 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 96.82/97.06 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 96.82/97.06 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 96.82/97.06 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 96.82/97.06 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 96.82/97.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 96.82/97.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 96.82/97.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 96.82/97.06 Found x00:(P b)
% 96.82/97.06 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 96.82/97.06 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 96.82/97.06 Found x00:(P b)
% 96.82/97.06 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 96.82/97.06 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 96.82/97.06 Found x00:(P b)
% 96.82/97.06 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 96.82/97.06 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 96.82/97.06 Found x00:(P b)
% 96.82/97.06 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 96.82/97.06 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 96.82/97.06 Found x0:(P (((f a0) a1) a2))
% 96.82/97.06 Instantiate: a:=(((f a0) a1) a2):fofType
% 96.82/97.06 Found x0 as proof of (P0 a)
% 96.82/97.06 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 96.82/97.06 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 96.82/97.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 100.43/100.67 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 100.43/100.67 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 100.43/100.67 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 100.43/100.67 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 100.43/100.67 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 100.43/100.67 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 100.43/100.67 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 100.43/100.67 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 100.43/100.67 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 100.43/100.67 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 100.43/100.67 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 100.43/100.67 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 100.43/100.67 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 100.43/100.67 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 100.43/100.67 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 100.43/100.67 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 100.43/100.67 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 100.43/100.67 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 100.43/100.67 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 100.43/100.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 100.43/100.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 100.43/100.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 100.43/100.67 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 100.43/100.67 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 100.43/100.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 100.43/100.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 100.43/100.67 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 100.43/100.67 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 100.43/100.67 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 100.43/100.67 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 100.43/100.67 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 100.43/100.67 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 100.43/100.67 Found x02:(P (((f a0) a1) a2))
% 100.43/100.67 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P (((f a0) a1) a2))
% 100.43/100.67 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P0 (((f a0) a1) a2))
% 100.43/100.67 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 100.43/100.67 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 100.43/100.67 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 100.43/100.67 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 100.43/100.67 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 100.43/100.67 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 100.43/100.67 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 100.43/100.67 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 100.43/100.67 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 100.43/100.67 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 100.43/100.67 Found x02:(P (((f a0) a1) a2))
% 100.43/100.67 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P (((f a0) a1) a2))
% 100.43/100.67 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P0 (((f a0) a1) a2))
% 100.43/100.67 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 100.43/100.67 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 100.43/100.67 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 100.43/100.67 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 100.43/100.67 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 100.43/100.67 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 100.43/100.67 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 100.43/100.67 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 100.43/100.67 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 104.18/104.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 104.18/104.42 Found x02:(P (((f a0) a1) a2))
% 104.18/104.42 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P (((f a0) a1) a2))
% 104.18/104.42 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P0 (((f a0) a1) a2))
% 104.18/104.42 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 104.18/104.42 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 104.18/104.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 104.18/104.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 104.18/104.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 104.18/104.42 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 104.18/104.42 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 104.18/104.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 104.18/104.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 104.18/104.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 104.18/104.42 Found x02:(P (((f a0) a1) a2))
% 104.18/104.42 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P (((f a0) a1) a2))
% 104.18/104.42 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P0 (((f a0) a1) a2))
% 104.18/104.42 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 104.18/104.42 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 104.18/104.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 104.18/104.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 104.18/104.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 104.18/104.42 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 104.18/104.42 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 104.18/104.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 104.18/104.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 104.18/104.42 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 104.18/104.42 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 104.18/104.42 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b1)
% 104.18/104.42 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b1)
% 104.18/104.42 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b1)
% 104.18/104.42 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b1)
% 104.18/104.42 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 104.18/104.42 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 104.18/104.42 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 104.18/104.42 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 104.18/104.42 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 104.18/104.42 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 104.18/104.42 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 104.18/104.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 104.18/104.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 104.18/104.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 104.18/104.42 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 104.18/104.42 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 104.18/104.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 104.18/104.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 104.18/104.42 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 104.18/104.42 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 104.18/104.42 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 104.18/104.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 104.18/104.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 104.18/104.42 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 104.18/104.42 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 109.37/109.61 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 109.37/109.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 109.37/109.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 109.37/109.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 109.37/109.61 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 109.37/109.61 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 109.37/109.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 109.37/109.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 109.37/109.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 109.37/109.61 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 109.37/109.61 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 109.37/109.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 109.37/109.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 109.37/109.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 109.37/109.61 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 109.37/109.61 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 109.37/109.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 109.37/109.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 109.37/109.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 109.37/109.61 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 109.37/109.61 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 109.37/109.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 109.37/109.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 109.37/109.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 109.37/109.61 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 109.37/109.61 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 109.37/109.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 109.37/109.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 109.37/109.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 109.37/109.61 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 109.37/109.61 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 109.37/109.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 109.37/109.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 109.37/109.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 109.37/109.61 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 109.37/109.61 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 109.37/109.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 109.37/109.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 109.37/109.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 109.37/109.61 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 109.37/109.61 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 109.37/109.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 109.37/109.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 109.37/109.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 109.37/109.61 Found x00:(P1 b)
% 109.37/109.61 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 109.37/109.61 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 109.37/109.61 Found x00:(P1 b)
% 109.37/109.61 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 109.37/109.61 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 109.37/109.61 Found x0:(P (((x a0) a1) a2))
% 109.37/109.61 Instantiate: a:=(((x a0) a1) a2):fofType
% 109.37/109.61 Found x0 as proof of (P0 a)
% 109.37/109.61 Found x0:(P (((x a0) a2) a1))
% 109.37/109.61 Instantiate: a:=(((x a0) a2) a1):fofType
% 109.37/109.61 Found x0 as proof of (P0 a)
% 109.37/109.61 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 109.37/109.61 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 114.83/115.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 114.83/115.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 114.83/115.06 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 114.83/115.06 Found x0:(P0 b0)
% 114.83/115.06 Instantiate: b0:=(((f a0) a2) a1):fofType
% 114.83/115.06 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 114.83/115.06 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 114.83/115.06 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 114.83/115.06 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 114.83/115.06 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 114.83/115.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 114.83/115.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 114.83/115.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 114.83/115.06 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 114.83/115.06 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 114.83/115.06 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 114.83/115.06 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 114.83/115.06 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 114.83/115.06 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 114.83/115.06 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 114.83/115.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 114.83/115.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 114.83/115.06 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 114.83/115.06 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 114.83/115.06 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 114.83/115.06 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 114.83/115.06 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 114.83/115.06 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 114.83/115.06 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 114.83/115.06 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 114.83/115.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 114.83/115.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 114.83/115.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 114.83/115.06 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 114.83/115.06 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 114.83/115.06 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 114.83/115.06 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 114.83/115.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 114.83/115.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 114.83/115.06 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 114.83/115.06 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 114.83/115.06 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 114.83/115.06 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 114.83/115.06 Found x02:(P1 (((f a0) a1) a2))
% 114.83/115.06 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P1 (((f a0) a1) a2))
% 114.83/115.06 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P2 (((f a0) a1) a2))
% 114.83/115.06 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 116.42/116.70 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 116.42/116.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 116.42/116.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 116.42/116.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 116.42/116.70 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 116.42/116.70 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 116.42/116.70 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 116.42/116.70 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 116.42/116.70 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 116.42/116.70 Found x02:(P1 (((f a0) a1) a2))
% 116.42/116.70 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P1 (((f a0) a1) a2))
% 116.42/116.70 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P2 (((f a0) a1) a2))
% 116.42/116.70 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 116.42/116.70 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 116.42/116.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 116.42/116.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 116.42/116.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 116.42/116.70 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 116.42/116.70 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 116.42/116.70 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 116.42/116.70 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 116.42/116.70 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 116.42/116.70 Found x0:(P (((f a0) a1) a2))
% 116.42/116.70 Instantiate: b0:=(((f a0) a1) a2):fofType
% 116.42/116.70 Found x0 as proof of (P0 b0)
% 116.42/116.70 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 116.42/116.70 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 116.42/116.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 116.42/116.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 116.42/116.70 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 116.42/116.70 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 116.42/116.70 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 116.42/116.70 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 116.42/116.70 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 116.42/116.70 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 116.42/116.70 Found x0:(P b)
% 116.42/116.70 Instantiate: b0:=b:fofType
% 116.42/116.70 Found x0 as proof of (P0 b0)
% 116.42/116.70 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 116.42/116.70 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 116.42/116.70 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 116.42/116.70 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 116.42/116.70 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 116.42/116.70 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 116.42/116.70 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 116.42/116.70 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 116.42/116.70 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 119.50/119.73 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 119.50/119.73 Found x0:(P0 b0)
% 119.50/119.73 Instantiate: b0:=(((f a0) a2) a1):fofType
% 119.50/119.73 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 (((x a0) a1) a2))
% 119.50/119.73 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 (((x a0) a1) a2)))
% 119.50/119.73 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 119.50/119.73 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 119.50/119.73 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 119.50/119.73 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 119.50/119.73 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 119.50/119.73 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 119.50/119.73 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 119.50/119.73 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 119.50/119.73 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 119.50/119.73 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 119.50/119.73 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 119.50/119.73 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 119.50/119.73 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 119.50/119.73 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 119.50/119.73 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 119.50/119.73 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 119.50/119.73 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 119.50/119.73 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 119.50/119.73 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 119.50/119.73 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 119.50/119.73 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 119.50/119.73 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 119.50/119.73 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 119.50/119.73 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 119.50/119.73 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 119.50/119.73 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 119.50/119.73 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 119.50/119.73 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 119.50/119.73 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 119.50/119.73 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 119.50/119.73 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 119.50/119.73 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 119.50/119.73 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 119.50/119.73 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 119.50/119.73 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 119.50/119.73 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 119.50/119.73 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 119.50/119.73 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 126.30/126.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 126.30/126.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 126.30/126.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 126.30/126.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 126.30/126.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 126.30/126.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 126.30/126.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 126.30/126.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 126.30/126.58 Found x00:(P b0)
% 126.30/126.58 Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% 126.30/126.58 Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% 126.30/126.58 Found x0:(P b)
% 126.30/126.58 Found x0 as proof of (P0 (((f a0) a1) a2))
% 126.30/126.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 126.30/126.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 126.30/126.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 126.30/126.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 126.30/126.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 126.30/126.58 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 126.30/126.58 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 126.30/126.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 126.30/126.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 126.30/126.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 126.30/126.58 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 126.30/126.58 Found (eq_ref0 a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 126.30/126.58 Found (eq_ref0 a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 126.30/126.58 Found (eq_ref0 a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 126.30/126.58 Found (eq_ref0 a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 126.30/126.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 126.30/126.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 126.30/126.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 126.30/126.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 126.30/126.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 126.30/126.58 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 126.30/126.58 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 126.30/126.58 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 126.30/126.58 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 126.30/126.58 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 126.30/126.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 126.30/126.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 126.30/126.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 126.30/126.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 126.30/126.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 126.30/126.58 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 126.30/126.58 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 126.30/126.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 126.30/126.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 126.30/126.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 129.55/129.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 129.55/129.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 129.55/129.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 129.55/129.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 129.55/129.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 129.55/129.82 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 129.55/129.82 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 129.55/129.82 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 129.55/129.82 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 129.55/129.82 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 129.55/129.82 Found x0:(P0 (((x a0) a1) a2))
% 129.55/129.82 Found (fun (x0:(P0 (((x a0) a1) a2)))=> x0) as proof of (P0 b)
% 129.55/129.82 Found (fun (P0:(fofType->Prop)) (x0:(P0 (((x a0) a1) a2)))=> x0) as proof of ((P0 (((x a0) a1) a2))->(P0 b))
% 129.55/129.82 Found (fun (P0:(fofType->Prop)) (x0:(P0 (((x a0) a1) a2)))=> x0) as proof of (P (((x a0) a1) a2))
% 129.55/129.82 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 129.55/129.82 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 129.55/129.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 129.55/129.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 129.55/129.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 129.55/129.82 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 129.55/129.82 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 129.55/129.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 129.55/129.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 129.55/129.82 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 129.55/129.82 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 129.55/129.82 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 129.55/129.82 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 129.55/129.82 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 129.55/129.82 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 129.55/129.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 129.55/129.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 129.55/129.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 129.55/129.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 129.55/129.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 129.55/129.82 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 129.55/129.82 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 129.55/129.82 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 129.55/129.82 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 129.55/129.82 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 129.55/129.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 129.55/129.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 129.55/129.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 129.55/129.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 129.55/129.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 129.55/129.82 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 129.55/129.82 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 129.55/129.82 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 129.55/129.82 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 129.55/129.82 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 129.55/129.82 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 129.55/129.82 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 129.55/129.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 129.55/129.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 129.55/129.82 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 129.55/129.82 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 129.55/129.82 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 135.91/136.16 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 135.91/136.16 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 135.91/136.16 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 135.91/136.16 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 135.91/136.16 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 135.91/136.16 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 135.91/136.16 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 135.91/136.16 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 135.91/136.16 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 135.91/136.16 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 135.91/136.16 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 135.91/136.16 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 135.91/136.16 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 135.91/136.16 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 135.91/136.16 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 135.91/136.16 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 135.91/136.16 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 135.91/136.16 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 135.91/136.16 Found x01:(P0 b)
% 135.91/136.16 Found (fun (x01:(P0 b))=> x01) as proof of (P0 b)
% 135.91/136.16 Found (fun (x01:(P0 b))=> x01) as proof of (P1 b)
% 135.91/136.16 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 135.91/136.16 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 135.91/136.16 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 135.91/136.16 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 135.91/136.16 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 135.91/136.16 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 135.91/136.16 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (((x a0) a1) a2))
% 135.91/136.16 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((x a0) a1) a2))
% 135.91/136.16 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((x a0) a1) a2))
% 135.91/136.16 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((x a0) a1) a2))
% 135.91/136.16 Found x01:(P b)
% 135.91/136.16 Found (fun (x01:(P b))=> x01) as proof of (P b)
% 135.91/136.16 Found (fun (x01:(P b))=> x01) as proof of (P0 b)
% 135.91/136.16 Found x01:(P b)
% 135.91/136.16 Found (fun (x01:(P b))=> x01) as proof of (P b)
% 135.91/136.16 Found (fun (x01:(P b))=> x01) as proof of (P0 b)
% 135.91/136.16 Found x00:(P (((f a0) a1) a2))
% 135.91/136.16 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 135.91/136.16 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 135.91/136.16 Found x00:(P (((f a0) a1) a2))
% 135.91/136.16 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 135.91/136.16 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 135.91/136.16 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 135.91/136.16 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 135.91/136.16 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 135.91/136.16 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 135.91/136.16 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 135.91/136.16 Found x0:(P2 b)
% 135.91/136.16 Instantiate: b:=(((f a1) a2) a0):fofType
% 135.91/136.16 Found (fun (x0:(P2 b))=> x0) as proof of (P2 (((x a0) a2) a1))
% 135.91/136.16 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 (((x a0) a2) a1)))
% 135.91/136.16 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b)
% 135.91/136.16 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 135.91/136.16 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 135.91/136.16 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 135.91/136.16 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 135.91/136.16 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 135.91/136.16 Found x0:(P2 b)
% 135.91/136.16 Instantiate: b:=(((f a2) a1) a0):fofType
% 137.78/138.03 Found (fun (x0:(P2 b))=> x0) as proof of (P2 (((x a0) a1) a2))
% 137.78/138.03 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 (((x a0) a1) a2)))
% 137.78/138.03 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b)
% 137.78/138.03 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 137.78/138.03 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 137.78/138.03 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 137.78/138.03 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 137.78/138.03 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 137.78/138.03 Found x0:(P2 b)
% 137.78/138.03 Instantiate: b:=(((f a2) a1) a0):fofType
% 137.78/138.03 Found (fun (x0:(P2 b))=> x0) as proof of (P2 (((x a0) a1) a2))
% 137.78/138.03 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 (((x a0) a1) a2)))
% 137.78/138.03 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b)
% 137.78/138.03 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 137.78/138.03 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 137.78/138.03 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 137.78/138.03 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 137.78/138.03 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 137.78/138.03 Found x0:(P2 b)
% 137.78/138.03 Instantiate: b:=(((f a1) a2) a0):fofType
% 137.78/138.03 Found (fun (x0:(P2 b))=> x0) as proof of (P2 (((x a0) a2) a1))
% 137.78/138.03 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 (((x a0) a2) a1)))
% 137.78/138.03 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b)
% 137.78/138.03 Found x00:(P1 (((f a0) a1) a2))
% 137.78/138.03 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P1 (((f a0) a1) a2))
% 137.78/138.03 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P2 (((f a0) a1) a2))
% 137.78/138.03 Found x00:(P1 (((f a0) a1) a2))
% 137.78/138.03 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P1 (((f a0) a1) a2))
% 137.78/138.03 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P2 (((f a0) a1) a2))
% 137.78/138.03 Found x01:(P1 b)
% 137.78/138.03 Found (fun (x01:(P1 b))=> x01) as proof of (P1 b)
% 137.78/138.03 Found (fun (x01:(P1 b))=> x01) as proof of (P2 b)
% 137.78/138.03 Found x00:(P1 (((f a0) a1) a2))
% 137.78/138.03 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P1 (((f a0) a1) a2))
% 137.78/138.03 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P2 (((f a0) a1) a2))
% 137.78/138.03 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 137.78/138.03 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 137.78/138.03 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 137.78/138.03 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 137.78/138.03 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 137.78/138.03 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 137.78/138.03 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 137.78/138.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 137.78/138.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 137.78/138.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 137.78/138.03 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 137.78/138.03 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 137.78/138.03 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 137.78/138.03 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 137.78/138.03 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 137.78/138.03 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 137.78/138.03 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 137.78/138.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 137.78/138.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 137.78/138.03 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 137.78/138.03 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 137.78/138.03 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 137.78/138.03 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 144.31/144.61 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 144.31/144.61 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 144.31/144.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 144.31/144.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 144.31/144.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 144.31/144.61 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 144.31/144.61 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 144.31/144.61 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 144.31/144.61 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 144.31/144.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 144.31/144.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 144.31/144.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 144.31/144.61 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 144.31/144.61 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 144.31/144.61 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 144.31/144.61 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 144.31/144.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 144.31/144.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 144.31/144.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 144.31/144.61 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 144.31/144.61 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 144.31/144.61 Found x0:(P0 b0)
% 144.31/144.61 Instantiate: b0:=(((f a0) a1) a2):fofType
% 144.31/144.61 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 144.31/144.61 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 144.31/144.61 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 144.31/144.61 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 144.31/144.61 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 144.31/144.61 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 144.31/144.61 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 144.31/144.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 144.31/144.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 144.31/144.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 144.31/144.61 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 144.31/144.61 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 144.31/144.61 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 144.31/144.61 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 144.31/144.61 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 144.31/144.61 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 149.42/149.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 149.42/149.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 149.42/149.72 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 149.42/149.72 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 149.42/149.72 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 149.42/149.72 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 149.42/149.72 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 149.42/149.72 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 149.42/149.72 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 149.42/149.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 149.42/149.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 149.42/149.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 149.42/149.72 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 149.42/149.72 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 149.42/149.72 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 149.42/149.72 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 149.42/149.72 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 149.42/149.72 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 149.42/149.72 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 149.42/149.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 149.42/149.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 149.42/149.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 149.42/149.72 Found x0:(P (((x a0) a1) a2))
% 149.42/149.72 Instantiate: b0:=(((x a0) a1) a2):fofType
% 149.42/149.72 Found x0 as proof of (P0 b0)
% 149.42/149.72 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 149.42/149.72 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 149.42/149.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 149.42/149.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 149.42/149.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 149.42/149.72 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 149.42/149.72 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 149.42/149.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 149.42/149.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 149.42/149.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 149.42/149.72 Found x0:(P0 (((x a0) a1) a2))
% 149.42/149.72 Instantiate: b0:=(((x a0) a1) a2):fofType
% 149.42/149.72 Found (fun (x0:(P0 (((x a0) a1) a2)))=> x0) as proof of (P0 b0)
% 149.42/149.72 Found (fun (P0:(fofType->Prop)) (x0:(P0 (((x a0) a1) a2)))=> x0) as proof of ((P0 (((x a0) a1) a2))->(P0 b0))
% 149.42/149.72 Found (fun (P0:(fofType->Prop)) (x0:(P0 (((x a0) a1) a2)))=> x0) as proof of (P b0)
% 149.42/149.72 Found x0:(P b)
% 149.42/149.72 Found x0 as proof of (P0 (((x a0) a2) a1))
% 149.42/149.72 Found x0:(P b)
% 149.42/149.72 Found x0 as proof of (P0 (((x a0) a1) a2))
% 149.42/149.72 Found x0:(P1 (((f a0) a1) a2))
% 149.42/149.72 Instantiate: b:=(((f a0) a1) a2):fofType
% 149.42/149.72 Found x0 as proof of (P2 b)
% 149.42/149.72 Found x0:(P1 (((f a0) a1) a2))
% 149.42/149.72 Instantiate: b:=(((f a0) a1) a2):fofType
% 149.42/149.72 Found x0 as proof of (P2 b)
% 149.42/149.72 Found x0:(P1 (((f a0) a1) a2))
% 149.42/149.72 Instantiate: b:=(((f a0) a1) a2):fofType
% 149.42/149.72 Found x0 as proof of (P2 b)
% 149.42/149.72 Found x0:(P1 (((f a0) a1) a2))
% 149.42/149.72 Instantiate: b:=(((f a0) a1) a2):fofType
% 149.42/149.72 Found x0 as proof of (P2 b)
% 149.42/149.72 Found x00:(P (((f a0) a1) a2))
% 149.42/149.72 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 149.42/149.72 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 149.42/149.72 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 149.42/149.72 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 149.42/149.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 152.23/152.55 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 152.23/152.55 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 152.23/152.55 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 152.23/152.55 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 152.23/152.55 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 152.23/152.55 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 152.23/152.55 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 152.23/152.55 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 152.23/152.55 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 152.23/152.55 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 152.23/152.55 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 152.23/152.55 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 152.23/152.55 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 152.23/152.55 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 152.23/152.55 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 152.23/152.55 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 152.23/152.55 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 152.23/152.55 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 152.23/152.55 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 152.23/152.55 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 152.23/152.55 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 152.23/152.55 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 152.23/152.55 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 152.23/152.55 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 152.23/152.55 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 152.23/152.55 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 152.23/152.55 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 152.23/152.55 Found x00:(P (((f a0) a1) a2))
% 152.23/152.55 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 152.23/152.55 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 152.23/152.55 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 152.23/152.55 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 152.23/152.55 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 152.23/152.55 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 152.23/152.55 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 152.23/152.55 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 152.23/152.55 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 152.23/152.55 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 152.23/152.55 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 152.23/152.55 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 152.23/152.55 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 152.23/152.55 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 152.23/152.55 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 152.23/152.55 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 152.23/152.55 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 152.23/152.55 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 152.23/152.55 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 152.23/152.55 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 152.23/152.55 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 152.23/152.55 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 152.23/152.55 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 156.21/156.52 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 156.21/156.52 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 156.21/156.52 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 156.21/156.52 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 156.21/156.52 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 156.21/156.52 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 156.21/156.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 156.21/156.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 156.21/156.52 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 156.21/156.52 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 156.21/156.52 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 156.21/156.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 156.21/156.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 156.21/156.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 156.21/156.52 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 156.21/156.52 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 156.21/156.52 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 156.21/156.52 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 156.21/156.52 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 156.21/156.52 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 156.21/156.52 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 156.21/156.52 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 156.21/156.52 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 156.21/156.52 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 156.21/156.52 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 156.21/156.52 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 156.21/156.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 156.21/156.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 156.21/156.52 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 156.21/156.52 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 156.21/156.52 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 156.21/156.52 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 156.21/156.52 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 156.21/156.52 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 156.21/156.52 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 156.21/156.52 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 156.21/156.52 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 156.21/156.52 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 156.21/156.52 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 156.21/156.52 Found x00:(P b)
% 156.21/156.52 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 156.21/156.52 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 156.21/156.52 Found x0:(P b)
% 156.21/156.52 Instantiate: b0:=b:fofType
% 156.21/156.52 Found x0 as proof of (P0 b0)
% 156.21/156.52 Found x0:(P b)
% 156.21/156.52 Instantiate: b0:=b:fofType
% 156.21/156.52 Found x0 as proof of (P0 b0)
% 156.21/156.52 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 156.21/156.52 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 156.21/156.52 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 156.21/156.52 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 156.21/156.52 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 156.21/156.52 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 156.21/156.52 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 156.21/156.52 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 156.21/156.52 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 161.98/162.30 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 161.98/162.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 161.98/162.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 161.98/162.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 161.98/162.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 161.98/162.30 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 161.98/162.30 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 161.98/162.30 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 161.98/162.30 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 161.98/162.30 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 161.98/162.30 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 161.98/162.30 Found x0:(P0 (((f a0) a1) a2))
% 161.98/162.30 Found (fun (x0:(P0 (((f a0) a1) a2)))=> x0) as proof of (P0 b)
% 161.98/162.30 Found (fun (P0:(fofType->Prop)) (x0:(P0 (((f a0) a1) a2)))=> x0) as proof of ((P0 (((f a0) a1) a2))->(P0 b))
% 161.98/162.30 Found (fun (P0:(fofType->Prop)) (x0:(P0 (((f a0) a1) a2)))=> x0) as proof of (P (((f a0) a1) a2))
% 161.98/162.30 Found x0:(P (((f a0) a1) a2))
% 161.98/162.30 Instantiate: b:=(((f a0) a1) a2):fofType
% 161.98/162.30 Found x0 as proof of (P0 b)
% 161.98/162.30 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 161.98/162.30 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 161.98/162.30 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 161.98/162.30 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 161.98/162.30 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 161.98/162.30 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 161.98/162.30 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b1)
% 161.98/162.30 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b1)
% 161.98/162.30 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b1)
% 161.98/162.30 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b1)
% 161.98/162.30 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 161.98/162.30 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 161.98/162.30 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 161.98/162.30 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 161.98/162.30 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 161.98/162.30 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 161.98/162.30 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b1)
% 161.98/162.30 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b1)
% 161.98/162.30 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b1)
% 161.98/162.30 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b1)
% 161.98/162.30 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 161.98/162.30 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 161.98/162.30 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 161.98/162.30 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 161.98/162.30 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 161.98/162.30 Found x0:(P (((f a0) a1) a2))
% 161.98/162.30 Instantiate: a:=(((f a0) a1) a2):fofType
% 161.98/162.30 Found x0 as proof of (P0 a)
% 161.98/162.30 Found x0:(P (((f a0) a1) a2))
% 161.98/162.30 Instantiate: a:=(((f a0) a1) a2):fofType
% 161.98/162.30 Found x0 as proof of (P0 a)
% 161.98/162.30 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 161.98/162.30 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 161.98/162.30 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 161.98/162.30 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 161.98/162.30 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 161.98/162.30 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 161.98/162.30 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 166.94/167.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 166.94/167.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 166.94/167.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 166.94/167.21 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 166.94/167.21 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 166.94/167.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 166.94/167.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 166.94/167.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 166.94/167.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 166.94/167.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 166.94/167.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 166.94/167.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 166.94/167.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 166.94/167.21 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 166.94/167.21 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 166.94/167.21 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 166.94/167.21 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 166.94/167.21 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 166.94/167.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 166.94/167.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 166.94/167.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 166.94/167.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 166.94/167.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 166.94/167.21 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 166.94/167.21 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 166.94/167.21 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 166.94/167.21 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 166.94/167.21 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 166.94/167.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 166.94/167.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 166.94/167.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 166.94/167.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 166.94/167.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 166.94/167.21 Found x10:(P1 (((f a0) a1) a2))
% 166.94/167.21 Found (fun (x10:(P1 (((f a0) a1) a2)))=> x10) as proof of (P1 (((f a0) a1) a2))
% 166.94/167.21 Found (fun (x10:(P1 (((f a0) a1) a2)))=> x10) as proof of (P2 (((f a0) a1) a2))
% 166.94/167.21 Found x10:(P1 (((f a0) a1) a2))
% 166.94/167.21 Found (fun (x10:(P1 (((f a0) a1) a2)))=> x10) as proof of (P1 (((f a0) a1) a2))
% 166.94/167.21 Found (fun (x10:(P1 (((f a0) a1) a2)))=> x10) as proof of (P2 (((f a0) a1) a2))
% 166.94/167.21 Found x02:(P (((f a0) a1) a2))
% 166.94/167.21 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P (((f a0) a1) a2))
% 166.94/167.21 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P0 (((f a0) a1) a2))
% 166.94/167.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 166.94/167.21 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 166.94/167.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 166.94/167.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 166.94/167.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 166.94/167.21 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 166.94/167.21 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 166.94/167.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 166.94/167.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 166.94/167.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 166.94/167.21 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 166.94/167.21 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 166.94/167.21 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 170.19/170.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 170.19/170.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 170.19/170.47 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 170.19/170.47 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 170.19/170.47 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 170.19/170.47 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 170.19/170.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 170.19/170.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 170.19/170.47 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 170.19/170.47 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 170.19/170.47 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 170.19/170.47 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 170.19/170.47 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 170.19/170.47 Found (eq_ref0 a) as proof of (((eq fofType) a) a1)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 170.19/170.47 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 170.19/170.47 Found (eq_ref0 a) as proof of (((eq fofType) a) a1)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 170.19/170.47 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 170.19/170.47 Found x00:(P (((f a0) a1) a2))
% 170.19/170.47 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 170.19/170.47 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 170.19/170.47 Found x00:(P (((f a0) a1) a2))
% 170.19/170.47 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 170.19/170.47 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 170.19/170.47 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 170.19/170.47 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 170.19/170.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 170.19/170.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 170.19/170.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 170.19/170.47 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 170.19/170.47 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 170.19/170.47 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 170.19/170.47 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 170.19/170.47 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 170.19/170.47 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 170.19/170.47 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 170.19/170.47 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 170.19/170.47 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 170.19/170.47 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 170.19/170.47 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 170.19/170.47 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 170.19/170.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 170.19/170.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 170.19/170.47 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 172.21/172.53 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 172.21/172.53 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 172.21/172.53 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 172.21/172.53 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 172.21/172.53 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 172.21/172.53 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 172.21/172.53 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 172.21/172.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 172.21/172.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 172.21/172.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 172.21/172.53 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 172.21/172.53 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (((x a0) a1) a2))
% 172.21/172.53 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((x a0) a1) a2))
% 172.21/172.53 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((x a0) a1) a2))
% 172.21/172.53 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((x a0) a1) a2))
% 172.21/172.53 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 172.21/172.53 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 172.21/172.53 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 172.21/172.53 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 172.21/172.53 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 172.21/172.53 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 172.21/172.53 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 172.21/172.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 172.21/172.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 172.21/172.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 172.21/172.53 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 172.21/172.53 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 172.21/172.53 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 172.21/172.53 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 172.21/172.53 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 172.21/172.53 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 172.21/172.53 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 172.21/172.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 172.21/172.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 172.21/172.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 172.21/172.53 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 172.21/172.53 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 172.21/172.53 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 172.21/172.53 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 172.21/172.53 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 172.21/172.53 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 172.21/172.53 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 172.21/172.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 172.21/172.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 172.21/172.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 172.21/172.53 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 172.21/172.53 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 172.21/172.53 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 172.21/172.53 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 172.21/172.53 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 172.21/172.53 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 172.21/172.53 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 172.21/172.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 172.21/172.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 172.21/172.53 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 172.21/172.53 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 172.21/172.53 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 178.75/179.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 178.75/179.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 178.75/179.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 178.75/179.02 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 178.75/179.02 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 178.75/179.02 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 178.75/179.02 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 178.75/179.02 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 178.75/179.02 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 178.75/179.02 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 178.75/179.02 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 178.75/179.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 178.75/179.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 178.75/179.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 178.75/179.02 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 178.75/179.02 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 178.75/179.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 178.75/179.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 178.75/179.02 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 178.75/179.02 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 178.75/179.02 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 178.75/179.02 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 178.75/179.02 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 178.75/179.02 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 178.75/179.02 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 178.75/179.02 Found x00:(P b0)
% 178.75/179.02 Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% 178.75/179.02 Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% 178.75/179.02 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 178.75/179.02 Found (eq_ref0 a) as proof of (((eq fofType) a) a1)
% 178.75/179.02 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 178.75/179.02 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 178.75/179.02 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 178.75/179.02 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 178.75/179.02 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 178.75/179.02 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 178.75/179.02 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 178.75/179.02 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 178.75/179.02 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 178.75/179.02 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 178.75/179.02 Found (eq_ref0 a) as proof of (((eq fofType) a) a1)
% 178.75/179.02 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 178.75/179.02 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 178.75/179.02 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a1)
% 178.75/179.02 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 178.75/179.02 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 178.75/179.02 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 183.38/183.68 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 183.38/183.68 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 183.38/183.68 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 183.38/183.68 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 183.38/183.68 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 183.38/183.68 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 183.38/183.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 183.38/183.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 183.38/183.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 183.38/183.68 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 183.38/183.68 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 183.38/183.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 183.38/183.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 183.38/183.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 183.38/183.68 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 183.38/183.68 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 183.38/183.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 183.38/183.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 183.38/183.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 183.38/183.68 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 183.38/183.68 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 183.38/183.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 183.38/183.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 183.38/183.68 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 183.38/183.68 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 183.38/183.68 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 183.38/183.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 183.38/183.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 183.38/183.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 183.38/183.68 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 183.38/183.68 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 183.38/183.68 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 183.38/183.68 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 183.38/183.68 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 183.38/183.68 Found x02:(P (((x a0) a1) a2))
% 183.38/183.68 Found (fun (x02:(P (((x a0) a1) a2)))=> x02) as proof of (P (((x a0) a1) a2))
% 183.38/183.68 Found (fun (x02:(P (((x a0) a1) a2)))=> x02) as proof of (P0 (((x a0) a1) a2))
% 183.38/183.68 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 183.38/183.68 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 183.38/183.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 183.38/183.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 183.38/183.68 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 183.38/183.68 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 183.38/183.68 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 183.38/183.68 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 183.38/183.68 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 183.38/183.68 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 183.38/183.68 Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) (fun (x:(fofType->(fofType->(fofType->fofType))))=> (b x)))
% 183.38/183.68 Found (eta_expansion_dep00 b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) b0)
% 183.38/183.68 Found ((eta_expansion_dep0 (fun (x1:(fofType->(fofType->(fofType->fofType))))=> Prop)) b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) b0)
% 183.38/183.68 Found (((eta_expansion_dep (fofType->(fofType->(fofType->fofType)))) (fun (x1:(fofType->(fofType->(fofType->fofType))))=> Prop)) b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) b0)
% 183.38/183.68 Found (((eta_expansion_dep (fofType->(fofType->(fofType->fofType)))) (fun (x1:(fofType->(fofType->(fofType->fofType))))=> Prop)) b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) b0)
% 187.56/187.88 Found (((eta_expansion_dep (fofType->(fofType->(fofType->fofType)))) (fun (x1:(fofType->(fofType->(fofType->fofType))))=> Prop)) b) as proof of (((eq ((fofType->(fofType->(fofType->fofType)))->Prop)) b) b0)
% 187.56/187.88 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 187.56/187.88 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 187.56/187.88 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 187.56/187.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 187.56/187.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 187.56/187.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 187.56/187.88 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 187.56/187.88 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 187.56/187.88 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 187.56/187.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 187.56/187.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 187.56/187.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 187.56/187.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 187.56/187.88 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 187.56/187.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 187.56/187.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 187.56/187.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 187.56/187.88 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 187.56/187.88 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 187.56/187.88 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 187.56/187.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 187.56/187.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 187.56/187.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 187.56/187.88 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 187.56/187.88 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 187.56/187.88 Found x00:(P (((f a0) a1) a2))
% 187.56/187.88 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 187.56/187.88 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 187.56/187.88 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 187.56/187.88 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 187.56/187.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 187.56/187.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 187.56/187.88 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 187.56/187.88 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 187.56/187.88 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b1)
% 187.56/187.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 189.39/189.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 189.39/189.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b1)
% 189.39/189.72 Found x00:(P1 b)
% 189.39/189.72 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 189.39/189.72 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 189.39/189.72 Found x00:(P1 b)
% 189.39/189.72 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 189.39/189.72 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 189.39/189.72 Found x00:(P1 b)
% 189.39/189.72 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 189.39/189.72 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 189.39/189.72 Found x00:(P1 b)
% 189.39/189.72 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 189.39/189.72 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 189.39/189.72 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 189.39/189.72 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 189.39/189.72 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 189.39/189.72 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 189.39/189.72 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 189.39/189.72 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 189.39/189.72 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b00)
% 189.39/189.72 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b00)
% 189.39/189.72 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b00)
% 189.39/189.72 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b00)
% 189.39/189.72 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 189.39/189.72 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 189.39/189.72 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 189.39/189.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 189.39/189.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 189.39/189.72 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 189.39/189.72 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 189.39/189.72 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found x0:(P0 b0)
% 189.39/189.72 Instantiate: b0:=(((f a1) a2) a0):fofType
% 189.39/189.72 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 189.39/189.72 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 189.39/189.72 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 189.39/189.72 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 189.39/189.72 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found x0:(P0 b0)
% 189.39/189.72 Instantiate: b0:=(((f a2) a1) a0):fofType
% 189.39/189.72 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 189.39/189.72 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 189.39/189.72 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 189.39/189.72 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 189.39/189.72 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 189.39/189.72 Found x0:(P0 b0)
% 189.39/189.72 Instantiate: b0:=(((f a1) a2) a0):fofType
% 189.39/189.72 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 192.20/192.51 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 192.20/192.51 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 192.20/192.51 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 192.20/192.51 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 192.20/192.51 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 192.20/192.51 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 192.20/192.51 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 192.20/192.51 Found x0:(P0 b0)
% 192.20/192.51 Instantiate: b0:=(((f a2) a1) a0):fofType
% 192.20/192.51 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 192.20/192.51 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 192.20/192.51 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 192.20/192.51 Found ex_intro0:=(ex_intro (fofType->(fofType->(fofType->fofType)))):(forall (P:((fofType->(fofType->(fofType->fofType)))->Prop)) (x:(fofType->(fofType->(fofType->fofType)))), ((P x)->((ex (fofType->(fofType->(fofType->fofType)))) P)))
% 192.20/192.51 Instantiate: a:=(forall (P:((fofType->(fofType->(fofType->fofType)))->Prop)) (x:(fofType->(fofType->(fofType->fofType)))), ((P x)->((ex (fofType->(fofType->(fofType->fofType)))) P))):Prop
% 192.20/192.51 Found ex_intro0 as proof of a
% 192.20/192.51 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 192.20/192.51 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 192.20/192.51 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 192.20/192.51 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 192.20/192.51 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 192.20/192.51 Found ((conj10 ((eq_ref fofType) (((x a0) a1) a2))) ex_intro0) as proof of ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) a)
% 192.20/192.51 Found (((conj1 a) ((eq_ref fofType) (((x a0) a1) a2))) ex_intro0) as proof of ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) a)
% 192.20/192.51 Found ((((conj (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) a) ((eq_ref fofType) (((x a0) a1) a2))) ex_intro0) as proof of ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) a)
% 192.20/192.51 Found ((((conj (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) a) ((eq_ref fofType) (((x a0) a1) a2))) ex_intro0) as proof of ((and (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) a)
% 192.20/192.51 Found ((((conj (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))) a) ((eq_ref fofType) (((x a0) a1) a2))) ex_intro0) as proof of (P a)
% 192.20/192.51 Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% 192.20/192.51 Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 192.20/192.51 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 192.20/192.51 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 192.20/192.51 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% 192.20/192.51 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:(fofType->(fofType->(fofType->fofType)))), (((eq Prop) (f1 x)) (f0 x)))
% 192.20/192.51 Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% 192.20/192.51 Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 192.20/192.51 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 192.20/192.51 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 192.20/192.51 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% 192.20/192.51 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:(fofType->(fofType->(fofType->fofType)))), (((eq Prop) (f1 x)) (f0 x)))
% 192.20/192.51 Found ex_intro0:=(ex_intro (fofType->(fofType->(fofType->fofType)))):(forall (P:((fofType->(fofType->(fofType->fofType)))->Prop)) (x:(fofType->(fofType->(fofType->fofType)))), ((P x)->((ex (fofType->(fofType->(fofType->fofType)))) P)))
% 192.20/192.51 Instantiate: a:=(forall (P:((fofType->(fofType->(fofType->fofType)))->Prop)) (x:(fofType->(fofType->(fofType->fofType)))), ((P x)->((ex (fofType->(fofType->(fofType->fofType)))) P))):Prop
% 196.36/196.65 Found ex_intro0 as proof of a
% 196.36/196.65 Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% 196.36/196.65 Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 196.36/196.65 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 196.36/196.65 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 196.36/196.65 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% 196.36/196.65 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:(fofType->(fofType->(fofType->fofType)))), (((eq Prop) (f1 x)) (f0 x)))
% 196.36/196.65 Found eq_ref00:=(eq_ref0 (f1 x)):(((eq Prop) (f1 x)) (f1 x))
% 196.36/196.65 Found (eq_ref0 (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 196.36/196.65 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 196.36/196.65 Found ((eq_ref Prop) (f1 x)) as proof of (((eq Prop) (f1 x)) (f0 x))
% 196.36/196.65 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (((eq Prop) (f1 x)) (f0 x))
% 196.36/196.65 Found (fun (x:(fofType->(fofType->(fofType->fofType))))=> ((eq_ref Prop) (f1 x))) as proof of (forall (x:(fofType->(fofType->(fofType->fofType)))), (((eq Prop) (f1 x)) (f0 x)))
% 196.36/196.65 Found x02:(P1 (((f a0) a1) a2))
% 196.36/196.65 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P1 (((f a0) a1) a2))
% 196.36/196.65 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P2 (((f a0) a1) a2))
% 196.36/196.65 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 196.36/196.65 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 196.36/196.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 196.36/196.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 196.36/196.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 196.36/196.65 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 196.36/196.65 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 196.36/196.65 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 196.36/196.65 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 196.36/196.65 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 196.36/196.65 Found x02:(P1 (((f a0) a1) a2))
% 196.36/196.65 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P1 (((f a0) a1) a2))
% 196.36/196.65 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P2 (((f a0) a1) a2))
% 196.36/196.65 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 196.36/196.65 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 196.36/196.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 196.36/196.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 196.36/196.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 196.36/196.65 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 196.36/196.65 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 196.36/196.65 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 196.36/196.65 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 196.36/196.65 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 196.36/196.65 Found x02:(P1 (((f a0) a1) a2))
% 196.36/196.65 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P1 (((f a0) a1) a2))
% 196.36/196.65 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P2 (((f a0) a1) a2))
% 196.36/196.65 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 196.36/196.65 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 196.36/196.65 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 196.36/196.65 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 196.36/196.65 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 196.36/196.65 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 196.36/196.65 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 196.36/196.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 196.36/196.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 196.36/196.65 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 199.66/199.96 Found x02:(P1 (((f a0) a1) a2))
% 199.66/199.96 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P1 (((f a0) a1) a2))
% 199.66/199.96 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P2 (((f a0) a1) a2))
% 199.66/199.96 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 199.66/199.96 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 199.66/199.96 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 199.66/199.96 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 199.66/199.96 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 199.66/199.96 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 199.66/199.96 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 199.66/199.96 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 199.66/199.96 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 199.66/199.96 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 199.66/199.96 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 199.66/199.96 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b00)
% 199.66/199.96 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b00)
% 199.66/199.96 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b00)
% 199.66/199.96 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b00)
% 199.66/199.96 Found eq_ref00:=(eq_ref0 b00):(((eq fofType) b00) b00)
% 199.66/199.96 Found (eq_ref0 b00) as proof of (((eq fofType) b00) b)
% 199.66/199.96 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 199.66/199.96 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 199.66/199.96 Found ((eq_ref fofType) b00) as proof of (((eq fofType) b00) b)
% 199.66/199.96 Found x0:(P (((x a0) a1) a2))
% 199.66/199.96 Instantiate: a:=(((x a0) a1) a2):fofType
% 199.66/199.96 Found x0 as proof of (P0 a)
% 199.66/199.96 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 199.66/199.96 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 199.66/199.96 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 199.66/199.96 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 199.66/199.96 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 199.66/199.96 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 199.66/199.96 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 199.66/199.96 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 199.66/199.96 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 199.66/199.96 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 199.66/199.96 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 199.66/199.96 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 199.66/199.96 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 199.66/199.96 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 199.66/199.96 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 199.66/199.96 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 199.66/199.96 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 199.66/199.96 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 199.66/199.96 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 199.66/199.96 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 199.66/199.96 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 199.66/199.96 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 199.66/199.96 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 199.66/199.96 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 199.66/199.96 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 199.66/199.96 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 199.66/199.96 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 199.66/199.96 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 199.66/199.96 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 199.66/199.96 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 200.96/201.27 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 200.96/201.27 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 200.96/201.27 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 200.96/201.27 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 200.96/201.27 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 200.96/201.27 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 200.96/201.27 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 200.96/201.27 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 200.96/201.27 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 200.96/201.27 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 200.96/201.27 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 200.96/201.27 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 200.96/201.27 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 200.96/201.27 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 200.96/201.27 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 200.96/201.27 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 200.96/201.27 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 200.96/201.27 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 200.96/201.27 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 200.96/201.27 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 200.96/201.27 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 200.96/201.27 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 200.96/201.27 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 200.96/201.27 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 200.96/201.27 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 200.96/201.27 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 200.96/201.27 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 200.96/201.27 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 200.96/201.27 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 200.96/201.27 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 200.96/201.27 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 200.96/201.27 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 210.32/210.63 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 210.32/210.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 210.32/210.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 210.32/210.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 210.32/210.63 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 210.32/210.63 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 210.32/210.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 210.32/210.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 210.32/210.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 210.32/210.63 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 210.32/210.63 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 210.32/210.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 210.32/210.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 210.32/210.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 210.32/210.63 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 210.32/210.63 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 210.32/210.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 210.32/210.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 210.32/210.63 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 210.32/210.63 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 210.32/210.63 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 210.32/210.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 210.32/210.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 210.32/210.63 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 210.32/210.63 Found x0:(P (((f a0) a1) a2))
% 210.32/210.63 Instantiate: b0:=(((f a0) a1) a2):fofType
% 210.32/210.63 Found x0 as proof of (P0 b0)
% 210.32/210.63 Found x0:(P (((f a0) a1) a2))
% 210.32/210.63 Instantiate: b0:=(((f a0) a1) a2):fofType
% 210.32/210.63 Found x0 as proof of (P0 b0)
% 210.32/210.63 Found x0:(P (((f a0) a1) a2))
% 210.32/210.63 Instantiate: b0:=(((f a0) a1) a2):fofType
% 210.32/210.63 Found x0 as proof of (P0 b0)
% 210.32/210.63 Found x0:(P (((f a0) a1) a2))
% 210.32/210.63 Instantiate: b0:=(((f a0) a1) a2):fofType
% 210.32/210.63 Found x0 as proof of (P0 b0)
% 210.32/210.63 Found x00:(P b0)
% 210.32/210.63 Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% 210.32/210.63 Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% 210.32/210.63 Found x00:(P b0)
% 210.32/210.63 Found (fun (x00:(P b0))=> x00) as proof of (P b0)
% 210.32/210.63 Found (fun (x00:(P b0))=> x00) as proof of (P0 b0)
% 210.32/210.63 Found x0:(P (((f a0) a1) a2))
% 210.32/210.63 Found x0 as proof of (P0 (((f a0) a1) a2))
% 210.32/210.63 Found x0:(P (((f a0) a1) a2))
% 210.32/210.63 Found x0 as proof of (P0 (((f a0) a1) a2))
% 210.32/210.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 210.32/210.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 210.32/210.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 210.32/210.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 210.32/210.63 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 210.32/210.63 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 210.32/210.63 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 212.05/212.38 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 212.05/212.38 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 212.05/212.38 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 212.05/212.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 212.05/212.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 212.05/212.38 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 212.05/212.38 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 212.05/212.38 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 212.05/212.38 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 212.05/212.38 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 212.05/212.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 212.05/212.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 212.05/212.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 212.05/212.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 212.05/212.38 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 212.05/212.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 212.05/212.38 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 212.05/212.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 212.05/212.38 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 212.05/212.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 212.05/212.38 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 212.05/212.38 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 212.05/212.38 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 212.05/212.38 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 212.05/212.38 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 213.43/213.77 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 213.43/213.77 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 213.43/213.77 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 213.43/213.77 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 213.43/213.77 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 213.43/213.77 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 213.43/213.77 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 213.43/213.77 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 213.43/213.77 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 213.43/213.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 213.43/213.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 213.43/213.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 213.43/213.77 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 213.43/213.77 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 213.43/213.77 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 213.43/213.77 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 213.43/213.77 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 213.43/213.77 Found x0:(P0 (((x a0) a1) a2))
% 213.43/213.77 Found (fun (x0:(P0 (((x a0) a1) a2)))=> x0) as proof of (P0 b)
% 213.43/213.77 Found (fun (P0:(fofType->Prop)) (x0:(P0 (((x a0) a1) a2)))=> x0) as proof of ((P0 (((x a0) a1) a2))->(P0 b))
% 213.43/213.77 Found (fun (P0:(fofType->Prop)) (x0:(P0 (((x a0) a1) a2)))=> x0) as proof of (P (((x a0) a1) a2))
% 213.43/213.77 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 213.43/213.77 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 213.43/213.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 213.43/213.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 213.43/213.77 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 213.43/213.77 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 213.43/213.77 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 213.43/213.77 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 213.43/213.77 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 213.43/213.77 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 213.43/213.77 Found x0:(P0 (((x a0) a2) a1))
% 213.43/213.77 Found (fun (x0:(P0 (((x a0) a2) a1)))=> x0) as proof of (P0 b)
% 213.43/213.77 Found (fun (P0:(fofType->Prop)) (x0:(P0 (((x a0) a2) a1)))=> x0) as proof of ((P0 (((x a0) a2) a1))->(P0 b))
% 213.43/213.77 Found (fun (P0:(fofType->Prop)) (x0:(P0 (((x a0) a2) a1)))=> x0) as proof of (P (((x a0) a2) a1))
% 213.43/213.77 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 213.43/213.77 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 213.43/213.77 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 213.43/213.77 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 213.43/213.77 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 213.43/213.77 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 213.43/213.77 Found (eq_ref0 a) as proof of (((eq fofType) a) a2)
% 213.43/213.77 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 213.43/213.77 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 213.43/213.77 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a2)
% 213.43/213.77 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 213.43/213.77 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 213.43/213.77 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 213.43/213.77 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 213.43/213.77 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 213.43/213.77 Found x0:(P2 b)
% 213.43/213.77 Instantiate: b:=(((f a0) a2) a1):fofType
% 213.43/213.77 Found (fun (x0:(P2 b))=> x0) as proof of (P2 (((x a0) a1) a2))
% 213.43/213.77 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 (((x a0) a1) a2)))
% 213.43/213.77 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b)
% 213.43/213.77 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 213.43/213.77 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 221.45/221.75 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 221.45/221.75 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 221.45/221.75 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 221.45/221.75 Found x0:(P2 b)
% 221.45/221.75 Instantiate: b:=(((f a0) a2) a1):fofType
% 221.45/221.75 Found (fun (x0:(P2 b))=> x0) as proof of (P2 (((x a0) a1) a2))
% 221.45/221.75 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 (((x a0) a1) a2)))
% 221.45/221.75 Found (fun (P2:(fofType->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b)
% 221.45/221.75 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 221.45/221.75 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 221.45/221.75 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 221.45/221.75 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 221.45/221.75 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 221.45/221.75 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 221.45/221.75 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 221.45/221.75 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 221.45/221.75 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 221.45/221.75 Found x0:(P1 (((f a0) a1) a2))
% 221.45/221.75 Instantiate: b:=(((f a0) a1) a2):fofType
% 221.45/221.75 Found x0 as proof of (P2 b)
% 221.45/221.75 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 221.45/221.75 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 221.45/221.75 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 221.45/221.75 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 221.45/221.75 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 221.45/221.75 Found x0:(P1 (((f a0) a1) a2))
% 221.45/221.75 Instantiate: b:=(((f a0) a1) a2):fofType
% 221.45/221.75 Found x0 as proof of (P2 b)
% 221.45/221.75 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 221.45/221.75 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 221.45/221.75 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 221.45/221.75 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 221.45/221.75 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 221.45/221.75 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 221.45/221.75 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 221.45/221.75 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 221.45/221.75 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 223.12/223.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 223.12/223.45 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 223.12/223.45 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 223.12/223.45 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 223.12/223.45 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 223.12/223.45 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b0)
% 223.12/223.45 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 223.12/223.45 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 223.12/223.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 223.12/223.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 223.12/223.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 223.12/223.45 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 223.12/223.45 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 223.12/223.45 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 223.12/223.45 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 223.12/223.45 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 223.12/223.45 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 223.12/223.45 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 223.12/223.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 223.12/223.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 223.12/223.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 223.12/223.45 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 223.12/223.45 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 223.12/223.45 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.12/223.45 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.12/223.45 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.12/223.45 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 223.12/223.45 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 223.12/223.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 223.12/223.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 223.12/223.45 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 223.12/223.45 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 223.12/223.45 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 223.12/223.45 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.12/223.45 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.12/223.45 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 223.12/223.45 Found x01:(P0 b)
% 223.12/223.45 Found (fun (x01:(P0 b))=> x01) as proof of (P0 b)
% 223.12/223.45 Found (fun (x01:(P0 b))=> x01) as proof of (P1 b)
% 223.12/223.45 Found x01:(P0 b)
% 223.12/223.45 Found (fun (x01:(P0 b))=> x01) as proof of (P0 b)
% 223.12/223.45 Found (fun (x01:(P0 b))=> x01) as proof of (P1 b)
% 223.12/223.45 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 223.12/223.45 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (((x a0) a1) a2))
% 223.12/223.45 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((x a0) a1) a2))
% 223.12/223.45 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((x a0) a1) a2))
% 223.12/223.45 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((x a0) a1) a2))
% 223.12/223.45 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 223.12/223.45 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 223.12/223.45 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 223.12/223.45 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 223.12/223.45 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 223.12/223.45 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 223.12/223.45 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (((x a0) a2) a1))
% 223.12/223.45 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((x a0) a2) a1))
% 223.12/223.45 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((x a0) a2) a1))
% 223.12/223.45 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((x a0) a2) a1))
% 223.12/223.45 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 223.12/223.45 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 228.99/229.33 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 228.99/229.33 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 228.99/229.33 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 228.99/229.33 Found eta_expansion:=(fun (A:Type) (B:Type)=> ((eta_expansion_dep A) (fun (x1:A)=> B))):(forall (A:Type) (B:Type) (f:(A->B)), (((eq (A->B)) f) (fun (x:A)=> (f x))))
% 228.99/229.33 Instantiate: a:=(forall (A:Type) (B:Type) (f:(A->B)), (((eq (A->B)) f) (fun (x:A)=> (f x)))):Prop
% 228.99/229.33 Found eta_expansion as proof of a
% 228.99/229.33 Found x00:(P (((f a0) a1) a2))
% 228.99/229.33 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 228.99/229.33 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 228.99/229.33 Found x00:(P (((f a0) a1) a2))
% 228.99/229.33 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 228.99/229.33 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 228.99/229.33 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 228.99/229.33 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 228.99/229.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 228.99/229.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 228.99/229.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 228.99/229.33 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 228.99/229.33 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 228.99/229.33 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 228.99/229.33 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 228.99/229.33 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 228.99/229.33 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 228.99/229.33 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 228.99/229.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 228.99/229.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 228.99/229.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 228.99/229.33 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 228.99/229.33 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 228.99/229.33 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 228.99/229.33 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 228.99/229.33 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 228.99/229.33 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 228.99/229.33 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 228.99/229.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 228.99/229.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 228.99/229.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 228.99/229.33 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 228.99/229.33 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 228.99/229.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 228.99/229.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 228.99/229.33 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 228.99/229.33 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 228.99/229.33 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 228.99/229.33 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 228.99/229.33 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 228.99/229.33 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 228.99/229.33 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 228.99/229.33 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 228.99/229.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 228.99/229.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 228.99/229.33 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 228.99/229.33 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 228.99/229.33 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 235.99/236.35 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 235.99/236.35 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 235.99/236.35 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 235.99/236.35 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 235.99/236.35 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 235.99/236.35 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 235.99/236.35 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 235.99/236.35 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 235.99/236.35 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 235.99/236.35 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 235.99/236.35 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 235.99/236.35 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 235.99/236.35 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 235.99/236.35 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 235.99/236.35 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 235.99/236.35 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 235.99/236.35 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 235.99/236.35 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 235.99/236.35 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 235.99/236.35 Found x0:(P b)
% 235.99/236.35 Instantiate: b0:=b:fofType
% 235.99/236.35 Found x0 as proof of (P0 b0)
% 235.99/236.35 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 235.99/236.35 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 235.99/236.35 Found x0:(P b)
% 235.99/236.35 Instantiate: b0:=b:fofType
% 235.99/236.35 Found x0 as proof of (P0 b0)
% 235.99/236.35 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 235.99/236.35 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 235.99/236.35 Found x0:(P b)
% 235.99/236.35 Found x0 as proof of (P0 (((x a0) a1) a2))
% 235.99/236.35 Found x0:(P (((f a0) a1) a2))
% 235.99/236.35 Instantiate: b:=(((f a0) a1) a2):fofType
% 235.99/236.35 Found x0 as proof of (P0 b)
% 235.99/236.35 Found x0:(P (((f a0) a1) a2))
% 235.99/236.35 Instantiate: b:=(((f a0) a1) a2):fofType
% 235.99/236.35 Found x0 as proof of (P0 b)
% 235.99/236.35 Found x10:(P1 (((f a0) a1) a2))
% 235.99/236.35 Found (fun (x10:(P1 (((f a0) a1) a2)))=> x10) as proof of (P1 (((f a0) a1) a2))
% 235.99/236.35 Found (fun (x10:(P1 (((f a0) a1) a2)))=> x10) as proof of (P2 (((f a0) a1) a2))
% 235.99/236.35 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 235.99/236.35 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 235.99/236.35 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 237.26/237.64 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 237.26/237.64 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 237.26/237.64 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 237.26/237.64 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 237.26/237.64 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 237.26/237.64 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 237.26/237.64 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 237.26/237.64 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 237.26/237.64 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 237.26/237.64 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 237.26/237.64 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 237.26/237.64 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 237.26/237.64 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 240.85/241.21 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 240.85/241.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 240.85/241.21 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 240.85/241.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 240.85/241.21 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 240.85/241.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 240.85/241.21 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 240.85/241.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 240.85/241.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 240.85/241.21 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 240.85/241.21 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 240.85/241.21 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 240.85/241.21 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 240.85/241.21 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 240.85/241.21 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 240.85/241.21 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 240.85/241.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 240.85/241.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 240.85/241.21 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 240.85/241.21 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 240.85/241.21 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 240.85/241.21 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 240.85/241.21 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 240.85/241.21 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) b)
% 243.12/243.46 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 243.12/243.46 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 243.12/243.46 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 243.12/243.46 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 243.12/243.46 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 243.12/243.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 243.12/243.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 243.12/243.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 243.12/243.46 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 243.12/243.46 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 243.12/243.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 243.12/243.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 243.12/243.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 243.12/243.46 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 243.12/243.46 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 243.12/243.46 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 243.12/243.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 243.12/243.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 243.12/243.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 243.12/243.46 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 243.12/243.46 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 243.12/243.46 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 243.12/243.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 243.12/243.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 243.12/243.46 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 243.12/243.46 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 243.12/243.46 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 243.12/243.46 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 243.12/243.46 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 248.24/248.61 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 248.24/248.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 248.24/248.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 248.24/248.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 248.24/248.61 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 248.24/248.61 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 248.24/248.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 248.24/248.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 248.24/248.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 248.24/248.61 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 248.24/248.61 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 248.24/248.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 248.24/248.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 248.24/248.61 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 248.24/248.61 Found x0:(P (((f a0) a1) a2))
% 248.24/248.61 Instantiate: a:=(((f a0) a1) a2):fofType
% 248.24/248.61 Found x0 as proof of (P0 a)
% 248.24/248.61 Found x0:(P (((f a0) a1) a2))
% 248.24/248.61 Instantiate: a:=(((f a0) a1) a2):fofType
% 248.24/248.61 Found x0 as proof of (P0 a)
% 248.24/248.61 Found x00:(P b)
% 248.24/248.61 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 248.24/248.61 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 248.24/248.61 Found x00:(P b)
% 248.24/248.61 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 248.24/248.61 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 248.24/248.61 Found eq_ref00:=(eq_ref0 (((x a2) a1) a0)):(((eq fofType) (((x a2) a1) a0)) (((x a2) a1) a0))
% 248.24/248.61 Found (eq_ref0 (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 248.24/248.61 Found ((eq_ref fofType) (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 248.24/248.61 Found ((eq_ref fofType) (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 248.24/248.61 Found ((eq_ref fofType) (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 248.24/248.61 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 248.24/248.61 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 248.24/248.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 248.24/248.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 248.24/248.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 248.24/248.61 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 248.24/248.61 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 248.24/248.61 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 248.24/248.61 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 248.24/248.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 248.24/248.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 248.24/248.61 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 248.24/248.61 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 248.24/248.61 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 248.24/248.61 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 248.24/248.61 Found x0:(P b)
% 248.24/248.61 Found x0 as proof of (P0 (((x a0) a1) a2))
% 248.24/248.61 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 248.24/248.61 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 248.24/248.61 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 251.45/251.80 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 251.45/251.80 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 251.45/251.80 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 251.45/251.80 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 251.45/251.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 251.45/251.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 251.45/251.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 251.45/251.80 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 251.45/251.80 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 251.45/251.80 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 251.45/251.80 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 251.45/251.80 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 251.45/251.80 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 251.45/251.80 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 251.45/251.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 251.45/251.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 251.45/251.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 251.45/251.80 Found x01:(P1 b)
% 251.45/251.80 Found (fun (x01:(P1 b))=> x01) as proof of (P1 b)
% 251.45/251.80 Found (fun (x01:(P1 b))=> x01) as proof of (P2 b)
% 251.45/251.80 Found x01:(P1 b)
% 251.45/251.80 Found (fun (x01:(P1 b))=> x01) as proof of (P1 b)
% 251.45/251.80 Found (fun (x01:(P1 b))=> x01) as proof of (P2 b)
% 251.45/251.80 Found x00:(P1 (((f a0) a1) a2))
% 251.45/251.80 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P1 (((f a0) a1) a2))
% 251.45/251.80 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P2 (((f a0) a1) a2))
% 251.45/251.80 Found x00:(P1 (((f a0) a1) a2))
% 251.45/251.80 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P1 (((f a0) a1) a2))
% 251.45/251.80 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P2 (((f a0) a1) a2))
% 251.45/251.80 Found x00:(P1 (((f a0) a1) a2))
% 251.45/251.80 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P1 (((f a0) a1) a2))
% 251.45/251.80 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P2 (((f a0) a1) a2))
% 251.45/251.80 Found x00:(P1 (((f a0) a1) a2))
% 251.45/251.80 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P1 (((f a0) a1) a2))
% 251.45/251.80 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P2 (((f a0) a1) a2))
% 251.45/251.80 Found x01:(P1 b)
% 251.45/251.80 Found (fun (x01:(P1 b))=> x01) as proof of (P1 b)
% 251.45/251.80 Found (fun (x01:(P1 b))=> x01) as proof of (P2 b)
% 251.45/251.80 Found x00:(P1 (((f a0) a1) a2))
% 251.45/251.80 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P1 (((f a0) a1) a2))
% 251.45/251.80 Found (fun (x00:(P1 (((f a0) a1) a2)))=> x00) as proof of (P2 (((f a0) a1) a2))
% 251.45/251.80 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 251.45/251.80 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 251.45/251.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 251.45/251.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 251.45/251.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 251.45/251.80 Found x0:(P0 b0)
% 251.45/251.80 Instantiate: b0:=(((f a0) a1) a2):fofType
% 251.45/251.80 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 (((f a0) a1) a2))
% 251.45/251.80 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 (((f a0) a1) a2)))
% 251.45/251.80 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 251.45/251.80 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 251.45/251.80 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 251.45/251.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 251.45/251.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 251.45/251.80 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 251.45/251.80 Found x0:(P0 b0)
% 251.45/251.80 Instantiate: b0:=(((f a0) a1) a2):fofType
% 251.45/251.80 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 (((f a0) a1) a2))
% 251.45/251.80 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 (((f a0) a1) a2)))
% 251.45/251.80 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 251.45/251.80 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 251.45/251.80 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 251.45/251.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 251.45/251.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 251.45/251.80 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 256.45/256.79 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 256.45/256.79 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 256.45/256.79 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 256.45/256.79 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 256.45/256.79 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 256.45/256.79 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 256.45/256.79 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 256.45/256.79 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 256.45/256.79 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found x0:(P0 b)
% 256.45/256.79 Instantiate: b0:=b:fofType
% 256.45/256.79 Found (fun (x0:(P0 b))=> x0) as proof of (P0 b0)
% 256.45/256.79 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 b0))
% 256.45/256.79 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of (P b0)
% 256.45/256.79 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 256.45/256.79 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 256.45/256.79 Found x0:(P0 b)
% 256.45/256.79 Instantiate: b0:=b:fofType
% 256.45/256.79 Found (fun (x0:(P0 b))=> x0) as proof of (P0 b0)
% 256.45/256.79 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 b0))
% 256.45/256.79 Found (fun (P0:(fofType->Prop)) (x0:(P0 b))=> x0) as proof of (P b0)
% 256.45/256.79 Found eq_ref00:=(eq_ref0 (((x a2) a1) a0)):(((eq fofType) (((x a2) a1) a0)) (((x a2) a1) a0))
% 256.45/256.79 Found (eq_ref0 (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 256.45/256.79 Found ((eq_ref fofType) (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 256.45/256.79 Found ((eq_ref fofType) (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 256.45/256.79 Found ((eq_ref fofType) (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 256.45/256.79 Found eq_ref00:=(eq_ref0 (((x a2) a1) a0)):(((eq fofType) (((x a2) a1) a0)) (((x a2) a1) a0))
% 256.45/256.79 Found (eq_ref0 (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 256.45/256.79 Found ((eq_ref fofType) (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 256.45/256.79 Found ((eq_ref fofType) (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 256.45/256.79 Found ((eq_ref fofType) (((x a2) a1) a0)) as proof of (((eq fofType) (((x a2) a1) a0)) (((f a0) a1) a2))
% 256.45/256.79 Found x0:(P b)
% 256.45/256.79 Instantiate: b0:=b:fofType
% 256.45/256.79 Found x0 as proof of (P0 b0)
% 256.45/256.79 Found x0:(P b)
% 256.45/256.79 Instantiate: b0:=b:fofType
% 256.45/256.79 Found x0 as proof of (P0 b0)
% 256.45/256.79 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 256.45/256.79 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b1)
% 256.45/256.79 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b1)
% 256.45/256.79 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b1)
% 260.22/260.58 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b1)
% 260.22/260.58 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 260.22/260.58 Found (eq_ref0 b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 260.22/260.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 260.22/260.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 260.22/260.58 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) (((f a0) a1) a2))
% 260.22/260.58 Found x00:(P (((f a0) a1) a2))
% 260.22/260.58 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 260.22/260.58 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 260.22/260.58 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 260.22/260.58 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 260.22/260.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 260.22/260.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 260.22/260.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 260.22/260.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 260.22/260.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 260.22/260.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 260.22/260.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 260.22/260.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 260.22/260.58 Found x00:(P (((f a0) a1) a2))
% 260.22/260.58 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 260.22/260.58 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 260.22/260.58 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 260.22/260.58 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 260.22/260.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 260.22/260.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 260.22/260.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 260.22/260.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 260.22/260.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 260.22/260.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 260.22/260.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 260.22/260.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 260.22/260.58 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 260.22/260.58 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 260.22/260.58 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 260.22/260.58 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 260.22/260.58 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 260.22/260.58 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 260.22/260.58 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 260.22/260.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 260.22/260.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 260.22/260.58 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 260.22/260.58 Found x01:(P0 (((x a0) a1) a2))
% 260.22/260.58 Found (fun (x01:(P0 (((x a0) a1) a2)))=> x01) as proof of (P0 (((x a0) a1) a2))
% 260.22/260.58 Found (fun (x01:(P0 (((x a0) a1) a2)))=> x01) as proof of (P1 (((x a0) a1) a2))
% 260.22/260.58 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 260.22/260.58 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 260.22/260.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 260.22/260.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 260.22/260.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 260.22/260.58 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 260.22/260.58 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 260.22/260.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 260.22/260.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 262.60/262.95 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 262.60/262.95 Found x02:(P (((f a0) a1) a2))
% 262.60/262.95 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P (((f a0) a1) a2))
% 262.60/262.95 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P0 (((f a0) a1) a2))
% 262.60/262.95 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 262.60/262.95 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 262.60/262.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 262.60/262.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 262.60/262.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a2) a1))
% 262.60/262.95 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 262.60/262.95 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 262.60/262.95 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 262.60/262.95 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 262.60/262.95 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 262.60/262.95 Found x02:(P (((f a0) a1) a2))
% 262.60/262.95 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P (((f a0) a1) a2))
% 262.60/262.95 Found (fun (x02:(P (((f a0) a1) a2)))=> x02) as proof of (P0 (((f a0) a1) a2))
% 262.60/262.95 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 262.60/262.95 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 262.60/262.95 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 262.60/262.95 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 262.60/262.95 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 262.60/262.95 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 262.60/262.95 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 262.60/262.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 262.60/262.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 262.60/262.95 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 262.60/262.95 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 262.60/262.95 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 262.60/262.95 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 262.60/262.95 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 262.60/262.95 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 262.60/262.95 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 262.60/262.95 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 262.60/262.95 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 262.60/262.95 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 262.60/262.95 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 262.60/262.95 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 262.60/262.95 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 262.60/262.95 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 262.60/262.95 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 262.60/262.95 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b1)
% 262.60/262.95 Found eq_ref00:=(eq_ref0 b1):(((eq fofType) b1) b1)
% 262.60/262.95 Found (eq_ref0 b1) as proof of (((eq fofType) b1) b0)
% 262.60/262.95 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 262.60/262.95 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 262.60/262.95 Found ((eq_ref fofType) b1) as proof of (((eq fofType) b1) b0)
% 262.60/262.95 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 262.60/262.95 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 262.60/262.95 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 262.60/262.95 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 262.60/262.95 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 262.60/262.95 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 262.60/262.95 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 266.51/266.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 266.51/266.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 266.51/266.88 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 266.51/266.88 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 266.51/266.88 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 266.51/266.88 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 266.51/266.88 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 266.51/266.88 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 266.51/266.88 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 266.51/266.88 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 266.51/266.88 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 266.51/266.88 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 266.51/266.88 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 266.51/266.88 Found x01:(P0 (((x a0) a1) a2))
% 266.51/266.88 Found (fun (x01:(P0 (((x a0) a1) a2)))=> x01) as proof of (P0 (((x a0) a1) a2))
% 266.51/266.88 Found (fun (x01:(P0 (((x a0) a1) a2)))=> x01) as proof of (P1 (((x a0) a1) a2))
% 266.51/266.88 Found x00:(P1 b)
% 266.51/266.88 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 266.51/266.88 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 266.51/266.88 Found x00:(P1 b)
% 266.51/266.88 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 266.51/266.88 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 266.51/266.88 Found x00:(P1 b)
% 266.51/266.88 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 266.51/266.88 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 266.51/266.88 Found x00:(P1 b)
% 266.51/266.88 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 266.51/266.88 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 266.51/266.88 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 274.02/274.38 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 274.02/274.38 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 274.02/274.38 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 274.02/274.38 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b0)
% 274.02/274.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 274.02/274.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 274.02/274.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 274.02/274.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 274.02/274.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 274.02/274.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 274.02/274.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 274.02/274.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 274.02/274.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 274.02/274.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 274.02/274.38 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 274.02/274.38 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 274.02/274.38 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 274.02/274.38 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 274.02/274.38 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 274.02/274.38 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 274.02/274.38 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 274.02/274.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 274.02/274.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 274.02/274.38 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 274.02/274.38 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 274.02/274.38 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 274.02/274.38 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 274.02/274.38 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 274.02/274.38 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 274.02/274.38 Found x0:(P1 (((f a0) a1) a2))
% 274.02/274.38 Instantiate: b:=(((f a0) a1) a2):fofType
% 274.02/274.38 Found x0 as proof of (P2 b)
% 274.02/274.38 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 274.02/274.38 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 274.02/274.38 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 274.02/274.38 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 274.02/274.38 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 274.02/274.38 Found x0:(P1 (((f a0) a1) a2))
% 274.02/274.38 Instantiate: b:=(((f a0) a1) a2):fofType
% 274.02/274.38 Found x0 as proof of (P2 b)
% 274.02/274.38 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 274.02/274.38 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 274.02/274.38 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 274.02/274.38 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 274.02/274.38 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) b)
% 274.02/274.38 Found x00:(P (((f a0) a1) a2))
% 274.02/274.38 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 274.02/274.38 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 274.02/274.38 Found x00:(P (((f a0) a1) a2))
% 274.02/274.38 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P (((f a0) a1) a2))
% 274.02/274.38 Found (fun (x00:(P (((f a0) a1) a2)))=> x00) as proof of (P0 (((f a0) a1) a2))
% 274.02/274.38 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 274.02/274.38 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 274.02/274.38 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 277.83/278.18 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 277.83/278.18 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 277.83/278.18 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 277.83/278.18 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 277.83/278.18 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 277.83/278.18 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 277.83/278.18 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 277.83/278.18 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 277.83/278.18 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found x0:(P0 b0)
% 277.83/278.18 Instantiate: b0:=(((f a0) a2) a1):fofType
% 277.83/278.18 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 277.83/278.18 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 277.83/278.18 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 277.83/278.18 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 277.83/278.18 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found x0:(P0 b0)
% 277.83/278.18 Instantiate: b0:=(((f a0) a2) a1):fofType
% 277.83/278.18 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 277.83/278.18 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 277.83/278.18 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 277.83/278.18 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 277.83/278.18 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found x0:(P0 b0)
% 277.83/278.18 Instantiate: b0:=(((f a0) a2) a1):fofType
% 277.83/278.18 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 277.83/278.18 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 277.83/278.18 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 277.83/278.18 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 277.83/278.18 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 277.83/278.18 Found x0:(P0 b0)
% 277.83/278.18 Instantiate: b0:=(((f a0) a2) a1):fofType
% 277.83/278.18 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 277.83/278.18 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 277.83/278.18 Found (fun (P0:(fofType->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 277.83/278.18 Found x0:(P (((x a0) a1) a2))
% 277.83/278.18 Instantiate: a:=(((x a0) a1) a2):fofType
% 277.83/278.18 Found x0 as proof of (P0 a)
% 277.83/278.18 Found x0:(P (((x a0) a2) a1))
% 277.83/278.18 Instantiate: a:=(((x a0) a2) a1):fofType
% 277.83/278.18 Found x0 as proof of (P0 a)
% 277.83/278.18 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 277.83/278.18 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 277.83/278.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 277.83/278.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 277.83/278.18 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 282.30/282.66 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 282.30/282.66 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 282.30/282.66 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 282.30/282.66 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 282.30/282.66 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 282.30/282.66 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 282.30/282.66 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 282.30/282.66 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 282.30/282.66 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((f a0) a1) a2))
% 282.30/282.66 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 282.30/282.66 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 282.30/282.66 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 282.30/282.66 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 282.30/282.66 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 282.30/282.66 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 282.30/282.66 Found x02:(P1 (((f a0) a1) a2))
% 282.30/282.66 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P1 (((f a0) a1) a2))
% 282.30/282.66 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P2 (((f a0) a1) a2))
% 282.30/282.66 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 282.30/282.66 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 282.30/282.66 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 282.30/282.66 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 282.30/282.66 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 282.30/282.66 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 282.30/282.66 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 285.19/285.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 285.19/285.58 Found x02:(P1 (((f a0) a1) a2))
% 285.19/285.58 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P1 (((f a0) a1) a2))
% 285.19/285.58 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P2 (((f a0) a1) a2))
% 285.19/285.58 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 285.19/285.58 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 285.19/285.58 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 285.19/285.58 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 285.19/285.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 285.19/285.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 285.19/285.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 285.19/285.58 Found x02:(P1 (((f a0) a1) a2))
% 285.19/285.58 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P1 (((f a0) a1) a2))
% 285.19/285.58 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P2 (((f a0) a1) a2))
% 285.19/285.58 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 285.19/285.58 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 285.19/285.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 285.19/285.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 285.19/285.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 285.19/285.58 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 285.19/285.58 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 285.19/285.58 Found x02:(P1 (((f a0) a1) a2))
% 285.19/285.58 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P1 (((f a0) a1) a2))
% 285.19/285.58 Found (fun (x02:(P1 (((f a0) a1) a2)))=> x02) as proof of (P2 (((f a0) a1) a2))
% 285.19/285.58 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 285.19/285.58 Found (eq_ref0 b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((x a0) a1) a2))
% 285.19/285.58 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 285.19/285.58 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 285.19/285.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 285.19/285.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 285.19/285.58 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b)
% 285.19/285.58 Found x0:(P (((f a0) a1) a2))
% 285.19/285.58 Instantiate: b0:=(((f a0) a1) a2):fofType
% 285.19/285.58 Found x0 as proof of (P0 b0)
% 285.19/285.58 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 285.19/285.58 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 285.19/285.58 Found x0:(P (((f a0) a1) a2))
% 285.19/285.58 Instantiate: b0:=(((f a0) a1) a2):fofType
% 285.19/285.58 Found x0 as proof of (P0 b0)
% 285.19/285.58 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 285.19/285.58 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 285.19/285.58 Found x0:(P (((f a0) a1) a2))
% 285.19/285.58 Instantiate: b0:=(((f a0) a1) a2):fofType
% 285.19/285.58 Found x0 as proof of (P0 b0)
% 285.19/285.58 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 285.19/285.58 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 285.19/285.58 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 289.99/290.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 289.99/290.37 Found x0:(P (((f a0) a1) a2))
% 289.99/290.37 Instantiate: b0:=(((f a0) a1) a2):fofType
% 289.99/290.37 Found x0 as proof of (P0 b0)
% 289.99/290.37 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 289.99/290.37 Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 289.99/290.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 289.99/290.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 289.99/290.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 289.99/290.37 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 289.99/290.37 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 289.99/290.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 289.99/290.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 289.99/290.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 289.99/290.37 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 289.99/290.37 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 289.99/290.37 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 289.99/290.37 Found (eq_ref0 b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 289.99/290.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 289.99/290.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 289.99/290.37 Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (((f a0) a1) a2))
% 289.99/290.37 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 289.99/290.37 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 289.99/290.37 Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 289.99/290.37 Found eq_ref00:=(eq_ref0 (((x a0) a2) a1)):(((eq fofType) (((x a0) a2) a1)) (((x a0) a2) a1))
% 289.99/290.37 Found (eq_ref0 (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 289.99/290.37 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 289.99/290.37 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 289.99/290.37 Found ((eq_ref fofType) (((x a0) a2) a1)) as proof of (((eq fofType) (((x a0) a2) a1)) (((f a0) a1) a2))
% 289.99/290.37 Found eq_ref00:=(eq_ref0 (((x a0) a1) a2)):(((eq fofType) (((x a0) a1) a2)) (((x a0) a1) a2))
% 289.99/290.37 Found (eq_ref0 (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 289.99/290.37 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 289.99/290.37 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 289.99/290.37 Found ((eq_ref fofType) (((x a0) a1) a2)) as proof of (((eq fofType) (((x a0) a1) a2)) (((f a0) a1) a2))
% 289.99/290.37 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 289.99/290.37 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 289.99/290.37 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 289.99/290.37 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 289.99/290.37 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a2) a1))
% 289.99/290.37 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 289.99/290.37 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 289.99/290.37 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 289.99/290.37 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 289.99/290.37 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found x0:(P0 (((f a0) a1) a2))
% 292.49/292.86 Found (fun (x0:(P0 (((f a0) a1) a2)))=> x0) as proof of (P0 (((f a0) a1) a2))
% 292.49/292.86 Found (fun (P0:(fofType->Prop)) (x0:(P0 (((f a0) a1) a2)))=> x0) as proof of ((P0 (((f a0) a1) a2))->(P0 (((f a0) a1) a2)))
% 292.49/292.86 Found (fun (P0:(fofType->Prop)) (x0:(P0 (((f a0) a1) a2)))=> x0) as proof of (P (((f a0) a1) a2))
% 292.49/292.86 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 292.49/292.86 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 292.49/292.86 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found x0:(P0 (((f a0) a1) a2))
% 292.49/292.86 Found (fun (x0:(P0 (((f a0) a1) a2)))=> x0) as proof of (P0 (((f a0) a1) a2))
% 292.49/292.86 Found (fun (P0:(fofType->Prop)) (x0:(P0 (((f a0) a1) a2)))=> x0) as proof of ((P0 (((f a0) a1) a2))->(P0 (((f a0) a1) a2)))
% 292.49/292.86 Found (fun (P0:(fofType->Prop)) (x0:(P0 (((f a0) a1) a2)))=> x0) as proof of (P (((f a0) a1) a2))
% 292.49/292.86 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 292.49/292.86 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 292.49/292.86 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 292.49/292.86 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 292.49/292.86 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 292.49/292.86 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 292.49/292.86 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 292.49/292.86 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 292.49/292.86 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 292.49/292.86 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 294.20/294.62 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 294.20/294.62 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 294.20/294.62 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 294.20/294.62 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 294.20/294.62 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 294.20/294.62 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 294.20/294.62 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found eq_ref00:=(eq_ref0 (((f a0) a1) a2)):(((eq fofType) (((f a0) a1) a2)) (((f a0) a1) a2))
% 294.20/294.62 Found (eq_ref0 (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found ((eq_ref fofType) (((f a0) a1) a2)) as proof of (((eq fofType) (((f a0) a1) a2)) b0)
% 294.20/294.62 Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 294.20/294.62 Found (eq_ref0 b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (((x a0) a1) a2))
% 294.20/294.62 Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 294.20/294.62 Found (eq_ref0 a) as proof of (((eq fofType) a) a0)
% 294.20/294.62 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 294.20/294.62 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 294.20/294.62 Found ((eq_ref fofType) a) as proof of (((eq fofType) a) a0)
% 294.20/294.62 Found eq_ref00:=(eq_ref0 a):(((eq fo
%------------------------------------------------------------------------------