%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : NUM802^5 : TPTP v7.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n129.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.625MB
% OS       : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan  8 13:11:48 EST 2018

% Result   : Timeout 291.55s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM802^5 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04  % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.23  % Computer : n129.star.cs.uiowa.edu
% 0.03/0.23  % Model    : x86_64 x86_64
% 0.03/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23  % Memory   : 32218.625MB
% 0.03/0.23  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23  % CPULimit : 300
% 0.03/0.23  % DateTime : Fri Jan  5 14:22:04 CST 2018
% 0.03/0.23  % CPUTime  : 
% 0.03/0.24  Python 2.7.13
% 1.51/1.75  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 1.51/1.75  FOF formula (<kernel.Constant object at 0x2b6a638e2d88>, <kernel.Constant object at 0x2b6a638e23b0>) of role type named c_2
% 1.51/1.75  Using role type
% 1.51/1.75  Declaring c_2:fofType
% 1.51/1.75  FOF formula (<kernel.Constant object at 0x2b6a63948cb0>, <kernel.DependentProduct object at 0x2b6a638e2ef0>) of role type named absval
% 1.51/1.75  Using role type
% 1.51/1.75  Declaring absval:(fofType->fofType)
% 1.51/1.75  FOF formula (<kernel.Constant object at 0x2b6a638e23f8>, <kernel.Single object at 0x2b6a638e27a0>) of role type named c0
% 1.51/1.75  Using role type
% 1.51/1.75  Declaring c0:fofType
% 1.51/1.75  FOF formula (<kernel.Constant object at 0x2b6a638e2d88>, <kernel.DependentProduct object at 0x2b6a638e23b0>) of role type named c_less_
% 1.51/1.75  Using role type
% 1.51/1.75  Declaring c_less_:(fofType->(fofType->Prop))
% 1.51/1.75  FOF formula (((c_less_ c_2) c0)->((forall (Xu:fofType) (Xv:fofType), (((c_less_ Xu) c0)->(not (((eq fofType) Xu) (absval Xv)))))->((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))))) of role conjecture named cBLEDSOE_FENG_8
% 1.51/1.75  Conjecture to prove = (((c_less_ c_2) c0)->((forall (Xu:fofType) (Xv:fofType), (((c_less_ Xu) c0)->(not (((eq fofType) Xu) (absval Xv)))))->((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))))):Prop
% 1.51/1.75  We need to prove ['(((c_less_ c_2) c0)->((forall (Xu:fofType) (Xv:fofType), (((c_less_ Xu) c0)->(not (((eq fofType) Xu) (absval Xv)))))->((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2))))))']
% 1.51/1.75  Parameter fofType:Type.
% 1.51/1.75  Parameter c_2:fofType.
% 1.51/1.75  Parameter absval:(fofType->fofType).
% 1.51/1.75  Parameter c0:fofType.
% 1.51/1.75  Parameter c_less_:(fofType->(fofType->Prop)).
% 1.51/1.75  Trying to prove (((c_less_ c_2) c0)->((forall (Xu:fofType) (Xv:fofType), (((c_less_ Xu) c0)->(not (((eq fofType) Xu) (absval Xv)))))->((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2))))))
% 1.51/1.75  Found c0:fofType
% 1.51/1.75  Found c0 as proof of fofType
% 1.51/1.75  Found (x00 c0) as proof of False
% 1.51/1.75  Found (x00 c0) as proof of False
% 1.51/1.75  Found (fun (x00:(x1 (absval Xy)))=> (x00 c0)) as proof of False
% 1.51/1.75  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c0)) as proof of ((x1 (absval Xy))->False)
% 1.51/1.75  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c0)) as proof of (forall (Xy:fofType), ((x1 (absval Xy))->False))
% 1.51/1.75  Found c0:fofType
% 1.51/1.75  Found c0 as proof of fofType
% 1.51/1.75  Found (x2 c0) as proof of False
% 1.51/1.75  Found (x2 c0) as proof of False
% 1.51/1.75  Found (fun (x2:(x1 (absval Xy)))=> (x2 c0)) as proof of False
% 1.51/1.75  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c0)) as proof of (not (x1 (absval Xy)))
% 1.51/1.75  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c0)) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 1.51/1.75  Found eq_ref00:=(eq_ref0 (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))):(((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2))))
% 1.51/1.75  Found (eq_ref0 (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) b)
% 1.51/1.75  Found ((eq_ref ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) b)
% 1.51/1.75  Found ((eq_ref ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) b)
% 1.51/1.75  Found ((eq_ref ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) b)
% 5.61/5.82  Found eta_expansion000:=(eta_expansion00 (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))):(((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) (fun (x:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (x (absval Xy))))) (x c_2))))
% 5.61/5.82  Found (eta_expansion00 (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) b)
% 5.61/5.82  Found ((eta_expansion0 Prop) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) b)
% 5.61/5.82  Found (((eta_expansion (fofType->Prop)) Prop) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) b)
% 5.61/5.82  Found (((eta_expansion (fofType->Prop)) Prop) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) b)
% 5.61/5.82  Found (((eta_expansion (fofType->Prop)) Prop) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) b)
% 5.61/5.82  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 5.61/5.82  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) (x1 c_2)))
% 5.61/5.82  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) (x1 c_2)))
% 5.61/5.82  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) (x1 c_2)))
% 5.61/5.82  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) (x1 c_2)))
% 5.61/5.82  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) ((and (forall (Xy:fofType), (not (x (absval Xy))))) (x c_2))))
% 5.61/5.82  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 5.61/5.82  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) (x1 c_2)))
% 5.61/5.82  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) (x1 c_2)))
% 5.61/5.82  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) (x1 c_2)))
% 5.61/5.82  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) (x1 c_2)))
% 5.61/5.82  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) ((and (forall (Xy:fofType), (not (x (absval Xy))))) (x c_2))))
% 5.61/5.82  Found eq_ref00:=(eq_ref0 b):(((eq ((fofType->Prop)->Prop)) b) b)
% 5.61/5.82  Found (eq_ref0 b) as proof of (((eq ((fofType->Prop)->Prop)) b) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2))))
% 5.61/5.82  Found ((eq_ref ((fofType->Prop)->Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2))))
% 5.61/5.82  Found ((eq_ref ((fofType->Prop)->Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2))))
% 5.61/5.82  Found ((eq_ref ((fofType->Prop)->Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2))))
% 5.61/5.82  Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq ((fofType->Prop)->Prop)) a) (fun (x:(fofType->Prop))=> (a x)))
% 6.67/6.87  Found (eta_expansion_dep00 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 6.67/6.87  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 6.67/6.87  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 6.67/6.87  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 6.67/6.87  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 6.67/6.87  Found eq_ref00:=(eq_ref0 a):(((eq ((fofType->Prop)->Prop)) a) a)
% 6.67/6.87  Found (eq_ref0 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 6.67/6.87  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 6.67/6.87  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 6.67/6.87  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 6.67/6.87  Found eq_ref00:=(eq_ref0 (x1 c_2)):(((eq Prop) (x1 c_2)) (x1 c_2))
% 6.67/6.87  Found (eq_ref0 (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b)
% 6.67/6.87  Found ((eq_ref Prop) (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b)
% 6.67/6.87  Found ((eq_ref Prop) (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b)
% 6.67/6.87  Found ((eq_ref Prop) (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b)
% 6.67/6.87  Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq ((fofType->Prop)->Prop)) a) (fun (x:(fofType->Prop))=> (a x)))
% 6.67/6.87  Found (eta_expansion_dep00 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 6.67/6.87  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 6.67/6.87  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 6.67/6.87  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 6.67/6.87  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 6.67/6.87  Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq ((fofType->Prop)->Prop)) b) (fun (x:(fofType->Prop))=> (b x)))
% 6.67/6.87  Found (eta_expansion_dep00 b) as proof of (((eq ((fofType->Prop)->Prop)) b) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2))))
% 6.67/6.87  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2))))
% 6.67/6.87  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2))))
% 6.67/6.87  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2))))
% 6.67/6.87  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2))))
% 6.67/6.87  Found eq_ref00:=(eq_ref0 b):(((eq ((fofType->Prop)->Prop)) b) b)
% 6.67/6.87  Found (eq_ref0 b) as proof of (((eq ((fofType->Prop)->Prop)) b) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2))))
% 6.67/6.87  Found ((eq_ref ((fofType->Prop)->Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2))))
% 6.67/6.87  Found ((eq_ref ((fofType->Prop)->Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2))))
% 6.67/6.87  Found ((eq_ref ((fofType->Prop)->Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2))))
% 6.67/6.87  Found eq_ref00:=(eq_ref0 (x1 c_2)):(((eq Prop) (x1 c_2)) (x1 c_2))
% 10.67/10.86  Found (eq_ref0 (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b)
% 10.67/10.86  Found ((eq_ref Prop) (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b)
% 10.67/10.86  Found ((eq_ref Prop) (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b)
% 10.67/10.86  Found ((eq_ref Prop) (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b)
% 10.67/10.86  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 10.67/10.86  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 10.67/10.86  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 10.67/10.86  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 10.67/10.86  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 10.67/10.86  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 10.67/10.86  Found (eq_ref0 a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 10.67/10.86  Found (eq_ref0 a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 10.67/10.86  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 10.67/10.86  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 10.67/10.86  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 10.67/10.86  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 10.67/10.86  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 10.67/10.86  Found (eq_ref0 a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 10.67/10.86  Found (eq_ref0 a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) c_2)
% 10.67/10.86  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 10.67/10.86  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 10.67/10.86  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 10.67/10.86  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 10.67/10.86  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 10.67/10.86  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 10.67/10.86  Found (eq_ref0 b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 10.67/10.86  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 10.67/10.86  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 10.67/10.86  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 10.67/10.86  Found ((eq_trans0000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 10.67/10.86  Found (((eq_trans000 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 10.67/10.86  Found ((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 10.67/10.86  Found (((((eq_trans0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 10.67/10.86  Found ((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 14.55/14.74  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 14.55/14.74  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 14.55/14.74  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 14.55/14.74  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 14.55/14.74  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 14.55/14.74  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 14.55/14.74  Found (eq_ref0 b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 14.55/14.74  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 14.55/14.74  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 14.55/14.74  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 14.55/14.74  Found ((eq_trans0000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 14.55/14.74  Found (((eq_trans000 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 14.55/14.74  Found ((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 14.55/14.74  Found (((((eq_trans0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 14.55/14.74  Found ((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 14.55/14.74  Found eq_ref000:=(eq_ref00 P0):((P0 (f x1))->(P0 (f x1)))
% 14.55/14.74  Found (eq_ref00 P0) as proof of (P1 (f x1))
% 14.55/14.74  Found ((eq_ref0 (f x1)) P0) as proof of (P1 (f x1))
% 14.55/14.74  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 14.55/14.74  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 14.55/14.74  Found eq_ref000:=(eq_ref00 P0):((P0 (f x1))->(P0 (f x1)))
% 14.55/14.74  Found (eq_ref00 P0) as proof of (P1 (f x1))
% 14.55/14.74  Found ((eq_ref0 (f x1)) P0) as proof of (P1 (f x1))
% 14.55/14.74  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 14.55/14.74  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 14.55/14.74  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 14.55/14.74  Found (eq_ref00 P) as proof of (P0 c_2)
% 14.55/14.74  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 14.55/14.74  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 14.55/14.74  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 14.55/14.74  Found c_2:fofType
% 14.55/14.74  Found c_2 as proof of fofType
% 14.55/14.74  Found (x00 c_2) as proof of False
% 14.55/14.74  Found (x00 c_2) as proof of False
% 14.55/14.74  Found (fun (x00:(x1 (absval Xy)))=> (x00 c_2)) as proof of False
% 14.55/14.74  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c_2)) as proof of ((x1 (absval Xy))->False)
% 14.55/14.74  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c_2)) as proof of (forall (Xy:fofType), ((x1 (absval Xy))->False))
% 14.55/14.74  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 14.55/14.74  Found (eq_ref00 P) as proof of (P0 c_2)
% 14.55/14.74  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 14.55/14.74  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 14.55/14.74  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 14.55/14.74  Found c_2:fofType
% 14.55/14.74  Found c_2 as proof of fofType
% 14.55/14.74  Found c_2:fofType
% 14.55/14.74  Found c_2 as proof of fofType
% 14.55/14.74  Found ((x00 c_2) c_2) as proof of False
% 16.17/16.38  Found ((x00 c_2) c_2) as proof of False
% 16.17/16.38  Found (fun (x00:(x1 (absval Xy)))=> ((x00 c_2) c_2)) as proof of False
% 16.17/16.38  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) c_2)) as proof of ((x1 (absval Xy))->False)
% 16.17/16.38  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) c_2)) as proof of (forall (Xy:fofType), ((x1 (absval Xy))->False))
% 16.17/16.38  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 16.17/16.38  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 16.17/16.38  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 16.17/16.38  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 16.17/16.38  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 16.17/16.38  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 16.17/16.38  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 16.17/16.38  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 16.17/16.38  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 16.17/16.38  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 16.17/16.38  Found c_2:fofType
% 16.17/16.38  Found c_2 as proof of fofType
% 16.17/16.38  Found (x2 c_2) as proof of False
% 16.17/16.38  Found (x2 c_2) as proof of False
% 16.17/16.38  Found (fun (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of False
% 16.17/16.38  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (not (x1 (absval Xy)))
% 16.17/16.38  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 16.17/16.38  Found c_2:fofType
% 16.17/16.38  Found c_2 as proof of fofType
% 16.17/16.38  Found c_2:fofType
% 16.17/16.38  Found c_2 as proof of fofType
% 16.17/16.38  Found ((x2 c_2) c_2) as proof of False
% 16.17/16.38  Found ((x2 c_2) c_2) as proof of False
% 16.17/16.38  Found (fun (x2:(x1 (absval Xy)))=> ((x2 c_2) c_2)) as proof of False
% 16.17/16.38  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) c_2)) as proof of (not (x1 (absval Xy)))
% 16.17/16.38  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) c_2)) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 16.17/16.38  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 16.17/16.38  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 16.17/16.38  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 16.17/16.38  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 16.17/16.38  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 16.17/16.38  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 16.17/16.38  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 16.17/16.38  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 16.17/16.38  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 16.17/16.38  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 16.17/16.38  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 16.17/16.38  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 16.17/16.38  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 16.17/16.38  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 16.17/16.38  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 16.17/16.38  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 16.17/16.38  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 16.17/16.38  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 16.17/16.38  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 16.17/16.38  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 16.17/16.38  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 16.17/16.38  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 16.17/16.38  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 16.17/16.38  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 16.17/16.38  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 16.17/16.38  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 22.42/22.61  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 22.42/22.61  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 22.42/22.61  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 22.42/22.61  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 22.42/22.61  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 22.42/22.61  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 22.42/22.61  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 22.42/22.61  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 22.42/22.61  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 22.42/22.61  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 22.42/22.61  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 22.42/22.61  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 22.42/22.61  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 22.42/22.61  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 22.42/22.61  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 22.42/22.61  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 22.42/22.61  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 22.42/22.61  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 22.42/22.61  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 22.42/22.61  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 22.42/22.61  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 22.42/22.61  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 22.42/22.61  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 22.42/22.61  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 22.42/22.61  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))))
% 22.42/22.61  Instantiate: b:=(forall (A:Type) (B:Type) (f:(A->B)), (((eq (A->B)) f) (fun (x:A)=> (f x)))):Prop
% 22.42/22.61  Found eta_expansion as proof of b
% 22.42/22.61  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))))
% 22.42/22.61  Instantiate: b:=(forall (A:Type) (B:Type) (f:(A->B)), (((eq (A->B)) f) (fun (x:A)=> (f x)))):Prop
% 22.42/22.61  Found eta_expansion as proof of b
% 22.42/22.61  Found x00:(x1 (absval Xy))
% 22.42/22.61  Instantiate: b:=False:Prop
% 22.42/22.61  Found (fun (x00:(x1 (absval Xy)))=> x00) as proof of False
% 22.42/22.61  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> x00) as proof of ((x1 (absval Xy))->False)
% 22.42/22.61  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> x00) as proof of (forall (Xy:fofType), ((x1 (absval Xy))->False))
% 22.42/22.61  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))))
% 22.42/22.61  Instantiate: b:=(forall (A:Type) (B:Type) (f:(A->B)), (((eq (A->B)) f) (fun (x:A)=> (f x)))):Prop
% 22.42/22.61  Found eta_expansion as proof of b
% 22.42/22.61  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))))
% 22.42/22.61  Instantiate: b:=(forall (A:Type) (B:Type) (f:(A->B)), (((eq (A->B)) f) (fun (x:A)=> (f x)))):Prop
% 22.42/22.61  Found eta_expansion as proof of b
% 22.42/22.61  Found x2:(x1 (absval Xy))
% 22.42/22.61  Instantiate: b:=False:Prop
% 22.42/22.61  Found (fun (x2:(x1 (absval Xy)))=> x2) as proof of False
% 22.42/22.61  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> x2) as proof of (not (x1 (absval Xy)))
% 22.42/22.61  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> x2) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 22.42/22.61  Found c_2:fofType
% 22.42/22.61  Found c_2 as proof of fofType
% 22.42/22.61  Found (x00 c_2) as proof of False
% 24.20/24.43  Found (x00 c_2) as proof of False
% 24.20/24.43  Found (fun (x00:(x1 (absval Xy)))=> (x00 c_2)) as proof of False
% 24.20/24.43  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c_2)) as proof of ((x1 (absval Xy))->False)
% 24.20/24.43  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c_2)) as proof of (forall (Xy:fofType), ((x1 (absval Xy))->False))
% 24.20/24.43  Found ((conj00 (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c_2))) eta_expansion) as proof of ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) b)
% 24.20/24.43  Found (((conj0 b) (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c_2))) eta_expansion) as proof of ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) b)
% 24.20/24.43  Found ((((conj (forall (Xy:fofType), ((x1 (absval Xy))->False))) b) (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c_2))) eta_expansion) as proof of ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) b)
% 24.20/24.43  Found ((((conj (forall (Xy:fofType), ((x1 (absval Xy))->False))) b) (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c_2))) eta_expansion) as proof of ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) b)
% 24.20/24.43  Found ((((conj (forall (Xy:fofType), ((x1 (absval Xy))->False))) b) (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c_2))) eta_expansion) as proof of (P b)
% 24.20/24.43  Found c_2:fofType
% 24.20/24.43  Found c_2 as proof of fofType
% 24.20/24.43  Found (x2 c_2) as proof of False
% 24.20/24.43  Found (x2 c_2) as proof of False
% 24.20/24.43  Found (fun (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of False
% 24.20/24.43  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (not (x1 (absval Xy)))
% 24.20/24.43  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 24.20/24.43  Found ((conj00 (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2))) eta_expansion) as proof of ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) b)
% 24.20/24.43  Found (((conj0 b) (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2))) eta_expansion) as proof of ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) b)
% 24.20/24.43  Found ((((conj (forall (Xy:fofType), (not (x1 (absval Xy))))) b) (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2))) eta_expansion) as proof of ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) b)
% 24.20/24.43  Found ((((conj (forall (Xy:fofType), (not (x1 (absval Xy))))) b) (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2))) eta_expansion) as proof of ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) b)
% 24.20/24.43  Found ((((conj (forall (Xy:fofType), (not (x1 (absval Xy))))) b) (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2))) eta_expansion) as proof of (P b)
% 24.20/24.43  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 24.20/24.43  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 24.20/24.43  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 24.20/24.43  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 24.20/24.43  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 24.20/24.43  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 24.20/24.43  Found (eq_ref0 b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 24.20/24.43  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 24.20/24.43  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 24.20/24.43  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 24.20/24.43  Found ((eq_trans0000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 24.20/24.43  Found (((eq_trans000 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 24.20/24.43  Found ((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 24.95/25.18  Found (((((eq_trans0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 24.95/25.18  Found ((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 24.95/25.18  Found ((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 24.95/25.18  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 24.95/25.18  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 24.95/25.18  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 24.95/25.18  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 24.95/25.18  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 24.95/25.18  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 24.95/25.18  Found (eq_ref0 b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 24.95/25.18  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 24.95/25.18  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 24.95/25.18  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 24.95/25.18  Found ((eq_trans0000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 24.95/25.18  Found (((eq_trans000 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 24.95/25.18  Found ((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 24.95/25.18  Found (((((eq_trans0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 24.95/25.18  Found ((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 24.95/25.18  Found ((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 24.95/25.18  Found eq_ref000:=(eq_ref00 P0):((P0 (f x1))->(P0 (f x1)))
% 34.55/34.81  Found (eq_ref00 P0) as proof of (P1 (f x1))
% 34.55/34.81  Found ((eq_ref0 (f x1)) P0) as proof of (P1 (f x1))
% 34.55/34.81  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 34.55/34.81  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 34.55/34.81  Found eq_ref000:=(eq_ref00 P0):((P0 (f x1))->(P0 (f x1)))
% 34.55/34.81  Found (eq_ref00 P0) as proof of (P1 (f x1))
% 34.55/34.81  Found ((eq_ref0 (f x1)) P0) as proof of (P1 (f x1))
% 34.55/34.81  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 34.55/34.81  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 34.55/34.81  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 34.55/34.81  Found (eq_ref00 P) as proof of (P0 c_2)
% 34.55/34.81  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 34.55/34.81  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 34.55/34.81  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 34.55/34.81  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 34.55/34.81  Found (eq_ref00 P) as proof of (P0 c_2)
% 34.55/34.81  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 34.55/34.81  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 34.55/34.81  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 34.55/34.81  Found c_2:fofType
% 34.55/34.81  Found c_2 as proof of fofType
% 34.55/34.81  Found (x00 c_2) as proof of False
% 34.55/34.81  Found (x00 c_2) as proof of False
% 34.55/34.81  Found (fun (x00:(x1 (absval Xy)))=> (x00 c_2)) as proof of False
% 34.55/34.81  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c_2)) as proof of ((x1 (absval Xy))->False)
% 34.55/34.81  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c_2)) as proof of (forall (Xy:fofType), ((x1 (absval Xy))->False))
% 34.55/34.81  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 34.55/34.81  Found (eq_ref00 P) as proof of (P0 c_2)
% 34.55/34.81  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 34.55/34.81  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 34.55/34.81  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 34.55/34.81  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 34.55/34.81  Found (eq_ref00 P) as proof of (P0 c_2)
% 34.55/34.81  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 34.55/34.81  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 34.55/34.81  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 34.55/34.81  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 34.55/34.81  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 34.55/34.81  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 34.55/34.81  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 34.55/34.81  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 34.55/34.81  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 34.55/34.81  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 34.55/34.81  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 34.55/34.81  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 34.55/34.81  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 34.55/34.81  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 34.55/34.81  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 34.55/34.81  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 34.55/34.81  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 34.55/34.81  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 34.55/34.81  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 34.55/34.81  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 34.55/34.81  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 34.55/34.81  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 34.55/34.81  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 34.55/34.81  Found c_2:fofType
% 34.55/34.81  Found c_2 as proof of fofType
% 34.55/34.81  Found c_2:fofType
% 34.55/34.81  Found c_2 as proof of fofType
% 34.55/34.81  Found ((x00 c_2) c_2) as proof of False
% 34.55/34.81  Found ((x00 c_2) c_2) as proof of False
% 34.55/34.81  Found (fun (x00:(x1 (absval Xy)))=> ((x00 c_2) c_2)) as proof of False
% 34.55/34.81  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) c_2)) as proof of ((x1 (absval Xy))->False)
% 34.55/34.81  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) c_2)) as proof of (forall (Xy:fofType), ((x1 (absval Xy))->False))
% 34.55/34.81  Found c_2:fofType
% 34.55/34.81  Found c_2 as proof of fofType
% 34.55/34.81  Found (x2 c_2) as proof of False
% 34.55/34.81  Found (x2 c_2) as proof of False
% 34.55/34.81  Found (fun (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of False
% 34.55/34.81  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (not (x1 (absval Xy)))
% 34.55/34.81  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 34.55/34.81  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 34.55/34.81  Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 34.55/34.81  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 36.57/36.85  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 36.57/36.85  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 36.57/36.85  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 36.57/36.85  Found (eq_ref0 b) as proof of (((eq Prop) b) (x1 c_2))
% 36.57/36.85  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (x1 c_2))
% 36.57/36.85  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (x1 c_2))
% 36.57/36.85  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (x1 c_2))
% 36.57/36.85  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 36.57/36.85  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 36.57/36.85  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 36.57/36.85  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 36.57/36.85  Found eta_expansion_dep000:=(eta_expansion_dep00 f):(((eq ((fofType->Prop)->Prop)) f) (fun (x:(fofType->Prop))=> (f x)))
% 36.57/36.85  Found (eta_expansion_dep00 f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 36.57/36.85  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 36.57/36.85  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 36.57/36.85  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 36.57/36.85  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 36.57/36.85  Found eq_ref00:=(eq_ref0 f):(((eq ((fofType->Prop)->Prop)) f) f)
% 36.57/36.85  Found (eq_ref0 f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 36.57/36.85  Found ((eq_ref ((fofType->Prop)->Prop)) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 36.57/36.85  Found ((eq_ref ((fofType->Prop)->Prop)) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 36.57/36.85  Found ((eq_ref ((fofType->Prop)->Prop)) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 36.57/36.85  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 36.57/36.85  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 36.57/36.85  Found c_2:fofType
% 36.57/36.85  Found c_2 as proof of fofType
% 36.57/36.85  Found c_2:fofType
% 36.57/36.85  Found c_2 as proof of fofType
% 36.57/36.85  Found ((x2 c_2) c_2) as proof of False
% 36.57/36.85  Found ((x2 c_2) c_2) as proof of False
% 36.57/36.85  Found (fun (x2:(x1 (absval Xy)))=> ((x2 c_2) c_2)) as proof of False
% 36.57/36.85  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) c_2)) as proof of (not (x1 (absval Xy)))
% 36.57/36.85  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) c_2)) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 36.57/36.85  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 36.57/36.85  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 36.57/36.85  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 36.57/36.85  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 36.57/36.85  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 36.57/36.85  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 38.17/38.39  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 38.17/38.39  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 38.17/38.39  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 38.17/38.39  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 38.17/38.39  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 38.17/38.39  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 38.17/38.39  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 38.17/38.39  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 38.17/38.39  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 38.17/38.39  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 38.17/38.39  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 38.17/38.39  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 38.17/38.39  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 38.17/38.39  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 38.17/38.39  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 38.17/38.39  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 38.17/38.39  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 38.17/38.39  Found eta_expansion000:=(eta_expansion00 f):(((eq ((fofType->Prop)->Prop)) f) (fun (x:(fofType->Prop))=> (f x)))
% 38.17/38.39  Found (eta_expansion00 f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 38.17/38.39  Found ((eta_expansion0 Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 38.17/38.39  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 38.17/38.39  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 38.17/38.39  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 38.17/38.39  Found eta_expansion000:=(eta_expansion00 f):(((eq ((fofType->Prop)->Prop)) f) (fun (x:(fofType->Prop))=> (f x)))
% 38.17/38.39  Found (eta_expansion00 f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 38.17/38.39  Found ((eta_expansion0 Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 38.17/38.39  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 38.17/38.39  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 38.17/38.39  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 38.17/38.39  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 38.17/38.39  Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 38.17/38.39  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 38.17/38.39  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 38.17/38.39  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 38.17/38.39  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 38.17/38.39  Found (eq_ref0 b) as proof of (((eq Prop) b) (x1 c_2))
% 38.17/38.39  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (x1 c_2))
% 38.17/38.39  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (x1 c_2))
% 38.17/38.39  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (x1 c_2))
% 38.17/38.39  Found c_2:fofType
% 38.17/38.39  Found c_2 as proof of fofType
% 38.17/38.39  Found (x00 c_2) as proof of False
% 38.17/38.39  Found (x00 c_2) as proof of False
% 38.17/38.39  Found (fun (x00:(x1 (absval Xy)))=> (x00 c_2)) as proof of False
% 38.17/38.39  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c_2)) as proof of ((x1 (absval Xy))->False)
% 38.17/38.39  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c_2)) as proof of (forall (Xy:fofType), ((x1 (absval Xy))->False))
% 38.17/38.39  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 38.17/38.39  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 38.17/38.39  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 38.17/38.39  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 38.17/38.39  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 38.17/38.39  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 38.17/38.39  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 38.17/38.39  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 38.17/38.39  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 38.17/38.39  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 38.17/38.39  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 38.17/38.39  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 39.60/39.81  Found c_2:fofType
% 39.60/39.81  Found c_2 as proof of fofType
% 39.60/39.81  Found (x2 c_2) as proof of False
% 39.60/39.81  Found (x2 c_2) as proof of False
% 39.60/39.81  Found (fun (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of False
% 39.60/39.81  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (not (x1 (absval Xy)))
% 39.60/39.81  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 39.60/39.81  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 39.60/39.81  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 39.60/39.81  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 39.60/39.81  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 39.60/39.81  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 39.60/39.81  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 39.60/39.81  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 39.60/39.81  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 39.60/39.81  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 39.60/39.81  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 39.60/39.81  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 39.60/39.81  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 39.60/39.81  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 39.60/39.81  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 39.60/39.81  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 39.60/39.81  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 39.60/39.81  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 39.60/39.81  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 39.60/39.81  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 39.60/39.81  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 39.60/39.81  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 39.60/39.81  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 39.60/39.81  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 39.60/39.81  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 39.60/39.81  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 39.60/39.81  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 39.60/39.81  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 39.60/39.81  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 39.60/39.81  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 39.60/39.81  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 39.60/39.81  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 39.60/39.81  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 39.60/39.81  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 39.60/39.81  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 39.60/39.81  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 39.60/39.81  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 39.60/39.81  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 43.47/43.67  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 43.47/43.67  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 43.47/43.67  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 43.47/43.67  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 43.47/43.67  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 43.47/43.67  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 43.47/43.68  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 43.47/43.68  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 43.47/43.68  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 43.47/43.68  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 43.47/43.68  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 43.47/43.68  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 43.47/43.68  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 43.47/43.68  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 43.47/43.68  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 43.47/43.68  Found c_2:fofType
% 43.47/43.68  Found c_2 as proof of fofType
% 43.47/43.68  Found c_2:fofType
% 43.47/43.68  Found c_2 as proof of fofType
% 43.47/43.68  Found ((x00 c_2) c_2) as proof of False
% 43.47/43.68  Found ((x00 c_2) c_2) as proof of False
% 43.47/43.68  Found (fun (x00:(x1 (absval Xy)))=> ((x00 c_2) c_2)) as proof of False
% 43.47/43.68  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) c_2)) as proof of ((x1 (absval Xy))->False)
% 43.47/43.68  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) c_2)) as proof of (forall (Xy:fofType), ((x1 (absval Xy))->False))
% 43.47/43.68  Found c_2:fofType
% 43.47/43.68  Found c_2 as proof of fofType
% 43.47/43.68  Found c_2:fofType
% 43.47/43.68  Found c_2 as proof of fofType
% 43.47/43.68  Found ((x2 c_2) c_2) as proof of False
% 43.47/43.68  Found ((x2 c_2) c_2) as proof of False
% 43.47/43.68  Found (fun (x2:(x1 (absval Xy)))=> ((x2 c_2) c_2)) as proof of False
% 43.47/43.68  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) c_2)) as proof of (not (x1 (absval Xy)))
% 43.47/43.68  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) c_2)) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 43.47/43.68  Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq ((fofType->Prop)->Prop)) b) (fun (x:(fofType->Prop))=> (b x)))
% 43.47/43.68  Found (eta_expansion_dep00 b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 43.47/43.68  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 43.47/43.68  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 43.47/43.68  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 43.47/43.68  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 43.47/43.68  Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq ((fofType->Prop)->Prop)) b) (fun (x:(fofType->Prop))=> (b x)))
% 43.47/43.68  Found (eta_expansion_dep00 b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 43.47/43.68  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 46.09/46.35  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 46.09/46.35  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 46.09/46.35  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 46.09/46.35  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 46.09/46.35  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 46.09/46.35  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 46.09/46.35  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 46.09/46.35  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 46.09/46.35  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 46.09/46.35  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 46.09/46.35  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 46.09/46.35  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 46.09/46.35  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 46.09/46.35  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 46.09/46.35  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 46.09/46.35  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 46.09/46.35  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 46.09/46.35  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 46.09/46.35  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 46.09/46.35  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 46.09/46.35  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 46.09/46.35  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 46.09/46.35  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 46.09/46.35  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 46.09/46.35  Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 46.09/46.35  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 46.09/46.35  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 46.09/46.35  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 46.09/46.35  Found eta_expansion_dep000:=(eta_expansion_dep00 f):(((eq ((fofType->Prop)->Prop)) f) (fun (x:(fofType->Prop))=> (f x)))
% 46.09/46.35  Found (eta_expansion_dep00 f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 46.09/46.35  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 46.09/46.35  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 46.09/46.35  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 46.09/46.35  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 46.09/46.35  Found eta_expansion000:=(eta_expansion00 f):(((eq ((fofType->Prop)->Prop)) f) (fun (x:(fofType->Prop))=> (f x)))
% 46.09/46.35  Found (eta_expansion00 f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 46.09/46.35  Found ((eta_expansion0 Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 46.09/46.35  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 48.15/48.35  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 48.15/48.35  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 48.15/48.35  Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 48.15/48.35  Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.35  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.35  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.35  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.35  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f0 x)) (f x)))
% 48.15/48.35  Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 48.15/48.35  Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.35  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.35  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.36  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.36  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f0 x)) (f x)))
% 48.15/48.36  Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 48.15/48.36  Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.36  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.36  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.36  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.36  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f0 x)) (f x)))
% 48.15/48.36  Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 48.15/48.36  Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.36  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.36  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.36  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 48.15/48.36  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f0 x)) (f x)))
% 48.15/48.36  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 48.15/48.36  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 48.15/48.36  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 48.15/48.36  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 48.15/48.36  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 48.15/48.36  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 48.15/48.36  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 48.15/48.36  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 48.15/48.36  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 48.15/48.36  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 48.15/48.36  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 48.15/48.36  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 48.15/48.36  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 48.15/48.36  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 48.15/48.36  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 48.15/48.36  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 48.15/48.36  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 48.15/48.36  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 48.15/48.36  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 48.15/48.36  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 48.15/48.36  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 48.15/48.36  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 48.15/48.36  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 48.15/48.36  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 48.15/48.36  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 48.15/48.36  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 48.15/48.36  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 50.27/50.49  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 50.27/50.49  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 50.27/50.49  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 50.27/50.49  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 50.27/50.49  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 50.27/50.49  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 50.27/50.49  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 50.27/50.49  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 50.27/50.49  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 50.27/50.49  Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 50.27/50.49  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 50.27/50.49  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 50.27/50.49  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 50.27/50.49  Found x2:(P0 (f x1))
% 50.27/50.49  Instantiate: b:=(f x1):Prop
% 50.27/50.49  Found x2 as proof of (P1 b)
% 50.27/50.49  Found x2:(P0 (f x1))
% 50.27/50.49  Instantiate: b:=(f x1):Prop
% 50.27/50.49  Found x2 as proof of (P1 b)
% 50.27/50.49  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 50.27/50.49  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 50.27/50.49  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 50.27/50.49  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 50.27/50.49  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 50.27/50.49  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 50.27/50.49  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 50.27/50.49  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 50.27/50.49  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 50.27/50.49  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 50.27/50.49  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 50.27/50.49  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 50.27/50.49  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 50.27/50.49  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 50.27/50.49  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 50.27/50.49  Found (eq_sym010 ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 50.27/50.49  Found ((eq_sym01 b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 50.27/50.49  Found (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 50.27/50.49  Found (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 50.27/50.49  Found ((eq_trans0000 ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 50.27/50.49  Found (((eq_trans000 (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 50.27/50.49  Found ((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 50.31/50.50  Found (((((eq_trans0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 50.31/50.50  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 50.31/50.50  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 50.31/50.50  Found (eq_sym000 ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 50.31/50.50  Found ((eq_sym00 (f x1)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 50.31/50.50  Found (((eq_sym0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 50.31/50.50  Found ((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) ((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 50.31/50.50  Found ((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) ((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 50.35/50.55  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 50.35/50.55  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 50.35/50.55  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 50.35/50.55  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 50.35/50.55  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 50.35/50.55  Found (eq_sym010 ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 50.35/50.55  Found ((eq_sym01 b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 50.35/50.55  Found (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 50.35/50.55  Found (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 50.35/50.55  Found ((eq_trans0000 ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 50.35/50.55  Found (((eq_trans000 (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 50.35/50.55  Found ((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 50.35/50.55  Found (((((eq_trans0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 50.35/50.55  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 50.35/50.55  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 50.35/50.55  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 50.35/50.55  Found (eq_sym000 ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 52.45/52.71  Found ((eq_sym00 (f x1)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 52.45/52.71  Found (((eq_sym0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 52.45/52.71  Found ((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) ((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 52.45/52.71  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 52.45/52.71  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 52.45/52.71  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 52.45/52.71  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 52.45/52.71  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 52.45/52.71  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 52.45/52.71  Found (eq_ref0 b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 52.45/52.71  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 52.45/52.71  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 52.45/52.71  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 52.45/52.71  Found ((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 52.45/52.71  Found ((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 52.45/52.71  Found (((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((eq_trans0000 x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 52.45/52.71  Found (((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_trans000 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 52.45/52.71  Found (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 52.71/52.93  Found (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((((eq_trans0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 52.71/52.93  Found (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 52.71/52.93  Found (fun (P0:(Prop->Prop))=> (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 52.71/52.93  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 52.71/52.93  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 52.71/52.93  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 52.71/52.93  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 52.71/52.93  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 52.71/52.93  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 52.71/52.93  Found (eq_ref0 b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 52.71/52.93  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 52.71/52.93  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 52.71/52.93  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 52.71/52.93  Found ((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 52.71/52.93  Found ((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 52.71/52.93  Found (((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((eq_trans0000 x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 52.71/52.93  Found (((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_trans000 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 52.71/52.93  Found (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.13/53.34  Found (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((((eq_trans0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.13/53.34  Found (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.13/53.34  Found (fun (P0:(Prop->Prop))=> (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.13/53.34  Found eq_ref000:=(eq_ref00 P0):((P0 (f x1))->(P0 (f x1)))
% 53.13/53.34  Found (eq_ref00 P0) as proof of (P1 (f x1))
% 53.13/53.34  Found ((eq_ref0 (f x1)) P0) as proof of (P1 (f x1))
% 53.13/53.34  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 53.13/53.34  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 53.13/53.34  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 53.13/53.34  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 53.13/53.34  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 53.13/53.34  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 53.13/53.34  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 53.13/53.34  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 53.13/53.34  Found (eq_ref0 b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 53.13/53.34  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 53.13/53.34  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 53.13/53.34  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 53.13/53.34  Found (((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.13/53.34  Found (((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.13/53.34  Found ((((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((eq_trans0000 x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.27/53.49  Found ((((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_trans000 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.27/53.49  Found ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.27/53.49  Found ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((((eq_trans0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.27/53.49  Found ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.27/53.49  Found (fun (P0:(Prop->Prop))=> ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.27/53.49  Found eq_ref000:=(eq_ref00 P0):((P0 (f x1))->(P0 (f x1)))
% 53.27/53.49  Found (eq_ref00 P0) as proof of (P1 (f x1))
% 53.27/53.49  Found ((eq_ref0 (f x1)) P0) as proof of (P1 (f x1))
% 53.27/53.49  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 53.27/53.49  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 53.27/53.49  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 53.27/53.49  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 53.27/53.49  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 53.27/53.49  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 53.27/53.49  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 53.27/53.49  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 53.27/53.49  Found (eq_ref0 b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 53.27/53.50  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 53.27/53.50  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 53.27/53.50  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 53.27/53.50  Found (((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.27/53.50  Found (((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.27/53.50  Found ((((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((eq_trans0000 x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.27/53.50  Found ((((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_trans000 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.27/53.50  Found ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.27/53.50  Found ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((((eq_trans0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.27/53.50  Found ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 53.27/53.50  Found (fun (P0:(Prop->Prop))=> ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 58.49/58.74  Found x2:(P c_2)
% 58.49/58.74  Instantiate: b:=c_2:fofType
% 58.49/58.74  Found x2 as proof of (P0 b)
% 58.49/58.74  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 58.49/58.74  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 58.49/58.74  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 58.49/58.74  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 58.49/58.74  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 58.49/58.74  Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 58.49/58.74  Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 58.49/58.74  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 58.49/58.74  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 58.49/58.74  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 58.49/58.74  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f0 x)) (f x)))
% 58.49/58.74  Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 58.49/58.74  Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 58.49/58.74  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 58.49/58.74  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 58.49/58.74  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 58.49/58.74  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f0 x)) (f x)))
% 58.49/58.74  Found x2:(P c_2)
% 58.49/58.74  Instantiate: b:=c_2:fofType
% 58.49/58.74  Found x2 as proof of (P0 b)
% 58.49/58.74  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 58.49/58.74  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 58.49/58.74  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 58.49/58.74  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 58.49/58.74  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 58.49/58.74  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 58.49/58.74  Found (eq_ref0 b) as proof of (P0 b)
% 58.49/58.74  Found ((eq_ref Prop) b) as proof of (P0 b)
% 58.49/58.74  Found ((eq_ref Prop) b) as proof of (P0 b)
% 58.49/58.74  Found ((eq_ref Prop) b) as proof of (P0 b)
% 58.49/58.74  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 58.49/58.74  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 58.49/58.74  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 58.49/58.74  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 58.49/58.74  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 58.49/58.74  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 58.49/58.74  Found (eq_ref0 a) as proof of (((eq Prop) a) (x1 c_2))
% 58.49/58.74  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 58.49/58.74  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 58.49/58.74  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 58.49/58.74  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 58.49/58.74  Found (eq_ref0 a) as proof of (((eq Prop) a) (x1 c_2))
% 58.49/58.74  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 58.49/58.74  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 58.49/58.74  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 58.49/58.74  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 58.49/58.74  Found (eq_ref0 a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 60.23/60.47  Found (eq_ref0 a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 60.23/60.47  Found (eq_ref0 a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 60.23/60.47  Found (eq_ref0 a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 60.23/60.47  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 60.23/60.47  Found (eq_ref00 P) as proof of (P0 c_2)
% 60.23/60.47  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 60.23/60.47  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 60.23/60.47  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 60.23/60.47  Found x2:(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 60.23/60.47  Instantiate: b:=((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)):Prop
% 60.23/60.47  Found x2 as proof of (P1 b)
% 60.23/60.47  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 60.23/60.47  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 60.23/60.47  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 60.23/60.47  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 60.23/60.47  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 60.23/60.47  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 60.23/60.47  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 60.23/60.47  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 60.23/60.47  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 60.23/60.47  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 60.23/60.47  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 60.23/60.47  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 60.23/60.47  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 60.23/60.47  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 60.23/60.47  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 60.23/60.47  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 60.23/60.47  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 60.23/60.47  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 60.23/60.47  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 60.23/60.47  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 60.23/60.47  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 60.23/60.47  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 60.23/60.47  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 60.23/60.47  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 60.23/60.47  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 60.23/60.47  Found ((eq_sym0100 ((eq_ref Prop) (f x1))) x2) as proof of (P0 (f x1))
% 60.23/60.47  Found ((eq_sym0100 ((eq_ref Prop) (f x1))) x2) as proof of (P0 (f x1))
% 60.23/60.47  Found (((fun (x3:(((eq Prop) (f x1)) b))=> ((eq_sym010 x3) P0)) ((eq_ref Prop) (f x1))) x2) as proof of (P0 (f x1))
% 60.23/60.47  Found (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((eq_sym01 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P0)) ((eq_ref Prop) (f x1))) x2) as proof of (P0 (f x1))
% 60.23/60.47  Found (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P0)) ((eq_ref Prop) (f x1))) x2) as proof of (P0 (f x1))
% 60.23/60.47  Found (fun (x2:(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P0)) ((eq_ref Prop) (f x1))) x2)) as proof of (P0 (f x1))
% 62.68/62.93  Found (fun (P0:(Prop->Prop)) (x2:(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P0)) ((eq_ref Prop) (f x1))) x2)) as proof of ((P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P0 (f x1)))
% 62.68/62.93  Found (fun (P0:(Prop->Prop)) (x2:(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P0)) ((eq_ref Prop) (f x1))) x2)) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 62.68/62.93  Found (eq_sym000 (fun (P0:(Prop->Prop)) (x2:(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P0)) ((eq_ref Prop) (f x1))) x2))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 62.68/62.93  Found ((eq_sym00 (f x1)) (fun (P0:(Prop->Prop)) (x2:(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P0)) ((eq_ref Prop) (f x1))) x2))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 62.68/62.93  Found (((eq_sym0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) (fun (P0:(Prop->Prop)) (x2:(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P0)) ((eq_ref Prop) (f x1))) x2))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 62.68/62.93  Found ((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) (fun (P0:(Prop->Prop)) (x2:(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P0)) ((eq_ref Prop) (f x1))) x2))) as proof of (((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 62.68/62.93  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 62.68/62.93  Found (eq_ref0 b) as proof of (P b)
% 62.68/62.93  Found ((eq_ref fofType) b) as proof of (P b)
% 62.68/62.93  Found ((eq_ref fofType) b) as proof of (P b)
% 62.68/62.93  Found ((eq_ref fofType) b) as proof of (P b)
% 62.68/62.93  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 62.68/62.93  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 62.68/62.93  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 62.68/62.93  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 62.68/62.93  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 62.68/62.93  Found x2:(P (absval Xv))
% 62.68/62.93  Instantiate: b:=(absval Xv):fofType
% 62.68/62.93  Found x2 as proof of (P0 b)
% 62.68/62.93  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 62.68/62.93  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 62.68/62.93  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 62.68/62.93  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 62.68/62.93  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 62.68/62.93  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 62.68/62.93  Found (eq_ref00 P) as proof of (P0 c_2)
% 62.68/62.93  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 62.68/62.93  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 62.68/62.93  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 62.68/62.93  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 68.22/68.42  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 68.22/68.42  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 68.22/68.42  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 68.22/68.42  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 68.22/68.42  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 68.22/68.42  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 68.22/68.42  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 68.22/68.42  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 68.22/68.42  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 68.22/68.42  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 68.22/68.42  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 68.22/68.42  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 68.22/68.42  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 68.22/68.42  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 68.22/68.42  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 68.22/68.42  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 68.22/68.42  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 68.22/68.42  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 68.22/68.42  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 68.22/68.42  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 68.22/68.42  Found (eq_ref0 b) as proof of (P b)
% 68.22/68.42  Found ((eq_ref fofType) b) as proof of (P b)
% 68.22/68.42  Found ((eq_ref fofType) b) as proof of (P b)
% 68.22/68.42  Found ((eq_ref fofType) b) as proof of (P b)
% 68.22/68.42  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 68.22/68.42  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 68.22/68.42  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 68.22/68.42  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 68.22/68.42  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 68.22/68.42  Found x2:(P (absval Xv))
% 68.22/68.42  Instantiate: b:=(absval Xv):fofType
% 68.22/68.42  Found x2 as proof of (P0 b)
% 68.22/68.42  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 68.22/68.42  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 68.22/68.42  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 68.22/68.42  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 68.22/68.42  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 68.22/68.42  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 68.22/68.42  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b0)
% 68.22/68.42  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 68.22/68.42  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 68.22/68.42  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 68.22/68.42  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 68.22/68.42  Found (eq_ref0 b0) as proof of (((eq fofType) b0) (absval Xv))
% 68.22/68.42  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 68.22/68.42  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 68.22/68.42  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 68.22/68.42  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 68.22/68.42  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 68.22/68.42  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 68.22/68.42  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 68.22/68.42  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 68.22/68.42  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 68.22/68.42  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 68.22/68.42  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 68.22/68.42  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 68.22/68.42  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 68.22/68.42  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 68.22/68.42  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 68.22/68.42  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 68.22/68.42  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 69.36/69.57  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 69.36/69.57  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 69.36/69.57  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 69.36/69.57  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 69.36/69.57  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 69.36/69.57  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 69.36/69.57  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 69.36/69.57  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 69.36/69.57  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 69.36/69.57  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 69.36/69.57  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 69.36/69.57  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 69.36/69.57  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 69.36/69.57  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 69.36/69.57  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 69.36/69.57  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 69.36/69.57  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 69.36/69.57  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 69.36/69.57  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 69.36/69.57  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 69.36/69.57  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 69.36/69.57  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 69.36/69.57  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 69.36/69.57  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 69.36/69.57  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 69.36/69.57  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 69.36/69.57  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 69.36/69.57  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 69.36/69.57  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 69.36/69.57  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 69.36/69.57  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 69.36/69.57  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 69.36/69.57  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 75.12/75.34  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 75.12/75.34  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 75.12/75.34  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 75.12/75.34  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 75.12/75.34  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b0)
% 75.12/75.34  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 75.12/75.34  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 75.12/75.34  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 75.12/75.34  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 75.12/75.34  Found (eq_ref0 b0) as proof of (((eq fofType) b0) (absval Xv))
% 75.12/75.34  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 75.12/75.34  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 75.12/75.34  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 75.12/75.34  Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 75.12/75.34  Found (eq_ref00 P) as proof of (P0 b)
% 75.12/75.34  Found ((eq_ref0 b) P) as proof of (P0 b)
% 75.12/75.34  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 75.12/75.34  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 75.12/75.34  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 75.12/75.34  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 75.12/75.34  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 75.12/75.34  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 75.12/75.34  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 75.12/75.34  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 75.12/75.34  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 75.12/75.34  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 75.12/75.34  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 75.12/75.34  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 75.12/75.34  Found eq_ref000:=(eq_ref00 P):((P (absval Xv))->(P (absval Xv)))
% 75.12/75.34  Found (eq_ref00 P) as proof of (P0 (absval Xv))
% 75.12/75.34  Found ((eq_ref0 (absval Xv)) P) as proof of (P0 (absval Xv))
% 75.12/75.34  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 75.12/75.34  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 75.12/75.34  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 75.12/75.34  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 75.12/75.34  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 75.12/75.34  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 75.12/75.34  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 75.12/75.34  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 75.12/75.34  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 75.12/75.34  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 75.12/75.34  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 75.12/75.34  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 75.12/75.34  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 75.12/75.34  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 75.12/75.34  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 75.12/75.34  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 75.12/75.34  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 75.12/75.34  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 75.12/75.34  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 75.12/75.34  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 75.12/75.34  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 75.12/75.34  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 75.12/75.34  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 75.12/75.34  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 75.12/75.34  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 75.12/75.34  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 75.12/75.34  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 75.12/75.34  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 75.12/75.34  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 75.12/75.34  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 75.12/75.34  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 75.12/75.34  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 75.12/75.34  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 75.12/75.34  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 75.12/75.34  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 80.98/81.24  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 80.98/81.24  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 80.98/81.24  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 80.98/81.24  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 80.98/81.24  Found (eq_ref00 P) as proof of (P0 b)
% 80.98/81.24  Found ((eq_ref0 b) P) as proof of (P0 b)
% 80.98/81.24  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 80.98/81.24  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 80.98/81.24  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 80.98/81.24  Found (eq_ref00 P) as proof of (P0 c_2)
% 80.98/81.24  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 80.98/81.24  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 80.98/81.24  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 80.98/81.24  Found c_2:fofType
% 80.98/81.24  Found c_2 as proof of fofType
% 80.98/81.24  Found (x2 c_2) as proof of False
% 80.98/81.24  Found (x2 c_2) as proof of False
% 80.98/81.24  Found (fun (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of False
% 80.98/81.24  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of ((x1 (absval Xy))->False)
% 80.98/81.24  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (forall (Xy:fofType), ((x1 (absval Xy))->False))
% 80.98/81.24  Found c_2:fofType
% 80.98/81.24  Found c_2 as proof of fofType
% 80.98/81.24  Found (x2 c_2) as proof of False
% 80.98/81.24  Found (x2 c_2) as proof of False
% 80.98/81.24  Found (fun (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of False
% 80.98/81.24  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (not (x1 (absval Xy)))
% 80.98/81.24  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 80.98/81.24  Found eq_ref000:=(eq_ref00 P):((P (absval Xv))->(P (absval Xv)))
% 80.98/81.24  Found (eq_ref00 P) as proof of (P0 (absval Xv))
% 80.98/81.24  Found ((eq_ref0 (absval Xv)) P) as proof of (P0 (absval Xv))
% 80.98/81.24  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 80.98/81.24  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 80.98/81.24  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 80.98/81.24  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 80.98/81.24  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 80.98/81.24  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 80.98/81.24  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 80.98/81.24  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 80.98/81.24  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 80.98/81.24  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 80.98/81.24  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 80.98/81.24  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 80.98/81.24  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 80.98/81.24  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 80.98/81.24  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 80.98/81.24  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 80.98/81.24  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 80.98/81.24  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 80.98/81.24  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 80.98/81.24  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 80.98/81.24  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 88.94/89.19  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 88.94/89.19  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 88.94/89.19  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 88.94/89.19  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 88.94/89.19  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 88.94/89.19  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 88.94/89.19  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 88.94/89.19  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 88.94/89.19  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 88.94/89.19  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 88.94/89.19  Found c_2:fofType
% 88.94/89.19  Found c_2 as proof of fofType
% 88.94/89.19  Found (x2 c_2) as proof of False
% 88.94/89.19  Found (x2 c_2) as proof of False
% 88.94/89.19  Found (fun (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of False
% 88.94/89.19  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (not (x1 (absval Xy)))
% 88.94/89.19  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 88.94/89.19  Found c_2:fofType
% 88.94/89.19  Found c_2 as proof of fofType
% 88.94/89.19  Found (x2 c_2) as proof of False
% 88.94/89.19  Found (x2 c_2) as proof of False
% 88.94/89.19  Found (fun (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of False
% 88.94/89.19  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (not (x1 (absval Xy)))
% 88.94/89.19  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 88.94/89.19  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 88.94/89.19  Found (eq_ref00 P) as proof of (P0 c_2)
% 88.94/89.19  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 88.94/89.19  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 88.94/89.19  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 88.94/89.19  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 88.94/89.19  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 88.94/89.19  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 88.94/89.19  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 88.94/89.19  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 88.94/89.19  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 88.94/89.19  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 88.94/89.19  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 88.94/89.19  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 88.94/89.19  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 88.94/89.19  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 88.94/89.19  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 88.94/89.19  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 88.94/89.19  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 88.94/89.19  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 88.94/89.19  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 88.94/89.19  Found (eq_ref0 b0) as proof of (((eq fofType) b0) c_2)
% 88.94/89.19  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 88.94/89.19  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 88.94/89.19  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 88.94/89.19  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 88.94/89.19  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 88.94/89.19  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 88.94/89.19  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 88.94/89.19  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 88.94/89.19  Found (eq_sym010 ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 88.94/89.19  Found ((eq_sym01 b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 88.94/89.19  Found (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 88.94/89.19  Found (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 88.94/89.19  Found ((eq_trans0000 ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 88.94/89.19  Found (((eq_trans000 (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 88.94/89.20  Found ((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 88.94/89.20  Found (((((eq_trans0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 88.94/89.20  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 88.94/89.20  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 88.94/89.20  Found (eq_sym0000 ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 88.94/89.20  Found (eq_sym0000 ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 88.94/89.20  Found ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> ((eq_sym000 x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 88.94/89.20  Found ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((eq_sym00 (f x1)) x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 88.94/89.20  Found ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> ((((eq_sym0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 89.16/89.37  Found ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) ((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 89.16/89.37  Found (fun (P0:(Prop->Prop))=> ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) ((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 89.16/89.37  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 89.16/89.37  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 89.16/89.37  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 89.16/89.37  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 89.16/89.37  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 89.16/89.37  Found (eq_sym010 ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 89.16/89.37  Found ((eq_sym01 b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 89.16/89.37  Found (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 89.16/89.37  Found (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 89.16/89.37  Found ((eq_trans0000 ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 89.16/89.37  Found (((eq_trans000 (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 89.16/89.37  Found ((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 89.16/89.37  Found (((((eq_trans0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 89.16/89.37  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 89.16/89.38  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 89.16/89.38  Found (eq_sym0000 ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 89.16/89.38  Found (eq_sym0000 ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 89.16/89.38  Found ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> ((eq_sym000 x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 89.16/89.38  Found ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((eq_sym00 (f x1)) x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 89.16/89.38  Found ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> ((((eq_sym0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 89.16/89.38  Found ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) ((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 91.32/91.52  Found (fun (P0:(Prop->Prop))=> ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) ((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 91.32/91.52  Found eq_ref000:=(eq_ref00 P):((P (absval Xv))->(P (absval Xv)))
% 91.32/91.52  Found (eq_ref00 P) as proof of (P0 (absval Xv))
% 91.32/91.52  Found ((eq_ref0 (absval Xv)) P) as proof of (P0 (absval Xv))
% 91.32/91.52  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 91.32/91.52  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 91.32/91.52  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 91.32/91.52  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 91.32/91.52  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 91.32/91.52  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 91.32/91.52  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 91.32/91.52  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 91.32/91.52  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 91.32/91.52  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 91.32/91.52  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 91.32/91.52  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 91.32/91.52  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 91.32/91.52  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 91.32/91.52  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 91.32/91.52  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 91.32/91.52  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 91.32/91.52  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 91.32/91.52  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 91.32/91.52  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 91.32/91.52  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 91.32/91.52  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 91.32/91.52  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 91.32/91.52  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 91.32/91.52  Found eta_expansion_dep000:=(eta_expansion_dep00 f):(((eq ((fofType->Prop)->Prop)) f) (fun (x:(fofType->Prop))=> (f x)))
% 91.32/91.52  Found (eta_expansion_dep00 f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 91.32/91.52  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 91.32/91.52  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 91.32/91.52  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 91.32/91.52  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 91.32/91.52  Found eta_expansion000:=(eta_expansion00 f):(((eq ((fofType->Prop)->Prop)) f) (fun (x:(fofType->Prop))=> (f x)))
% 91.32/91.52  Found (eta_expansion00 f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 91.32/91.52  Found ((eta_expansion0 Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 91.32/91.52  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 91.32/91.52  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 91.32/91.52  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 91.32/91.52  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 91.32/91.52  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 95.38/95.59  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 95.38/95.59  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 95.38/95.59  Found eta_expansion000:=(eta_expansion00 f):(((eq ((fofType->Prop)->Prop)) f) (fun (x:(fofType->Prop))=> (f x)))
% 95.38/95.59  Found (eta_expansion00 f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 95.38/95.59  Found ((eta_expansion0 Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 95.38/95.59  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 95.38/95.59  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 95.38/95.59  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 95.38/95.59  Found eta_expansion000:=(eta_expansion00 f):(((eq ((fofType->Prop)->Prop)) f) (fun (x:(fofType->Prop))=> (f x)))
% 95.38/95.59  Found (eta_expansion00 f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 95.38/95.59  Found ((eta_expansion0 Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 95.38/95.59  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 95.38/95.59  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 95.38/95.59  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 95.38/95.59  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 95.38/95.59  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 95.38/95.59  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 95.38/95.59  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 95.38/95.59  Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 95.38/95.59  Found (eq_ref00 P) as proof of (P0 b)
% 95.38/95.59  Found ((eq_ref0 b) P) as proof of (P0 b)
% 95.38/95.59  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 95.38/95.59  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 95.38/95.59  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 95.38/95.59  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 95.38/95.59  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 95.38/95.59  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (b x1))
% 95.38/95.59  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (b x)))
% 101.47/101.68  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 101.47/101.68  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 101.47/101.68  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 101.47/101.68  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 101.47/101.68  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 101.47/101.68  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 101.47/101.68  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 101.47/101.68  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 101.47/101.68  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 101.47/101.68  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 101.47/101.68  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 101.47/101.68  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 101.47/101.68  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 101.47/101.68  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 101.47/101.68  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 101.47/101.68  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 101.47/101.68  Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 101.47/101.68  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 101.47/101.68  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 101.47/101.68  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 101.47/101.68  Found ex_intro0:=(ex_intro (fofType->Prop)):(forall (P:((fofType->Prop)->Prop)) (x:(fofType->Prop)), ((P x)->((ex (fofType->Prop)) P)))
% 101.47/101.68  Instantiate: a:=(forall (P:((fofType->Prop)->Prop)) (x:(fofType->Prop)), ((P x)->((ex (fofType->Prop)) P))):Prop
% 101.47/101.68  Found ex_intro0 as proof of a
% 101.47/101.68  Found ex_intro0:=(ex_intro (fofType->Prop)):(forall (P:((fofType->Prop)->Prop)) (x:(fofType->Prop)), ((P x)->((ex (fofType->Prop)) P)))
% 101.47/101.68  Instantiate: a:=(forall (P:((fofType->Prop)->Prop)) (x:(fofType->Prop)), ((P x)->((ex (fofType->Prop)) P))):Prop
% 101.47/101.68  Found ex_intro0 as proof of a
% 101.47/101.68  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 101.47/101.68  Found (eq_ref0 b0) as proof of (((eq fofType) b0) c_2)
% 101.47/101.68  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 101.47/101.68  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 101.47/101.68  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 101.47/101.68  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 101.47/101.68  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 101.47/101.68  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 101.47/101.68  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 101.47/101.68  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 101.47/101.68  Found eta_expansion000:=(eta_expansion00 b):(((eq ((fofType->Prop)->Prop)) b) (fun (x:(fofType->Prop))=> (b x)))
% 101.47/101.68  Found (eta_expansion00 b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 101.47/101.68  Found ((eta_expansion0 Prop) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 101.47/101.68  Found (((eta_expansion (fofType->Prop)) Prop) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 101.47/101.68  Found (((eta_expansion (fofType->Prop)) Prop) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 101.47/101.68  Found (((eta_expansion (fofType->Prop)) Prop) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 101.47/101.68  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 101.47/101.68  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 101.47/101.68  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 101.47/101.68  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 106.03/106.31  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 106.03/106.31  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 106.03/106.31  Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 106.03/106.31  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 106.03/106.31  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 106.03/106.31  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 106.03/106.31  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 106.03/106.31  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 106.03/106.31  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 106.03/106.31  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 106.03/106.31  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 106.03/106.31  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 106.03/106.31  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 106.03/106.31  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 106.03/106.31  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 106.03/106.31  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 106.03/106.31  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 106.03/106.31  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 106.03/106.31  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 106.03/106.31  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 106.03/106.31  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 106.03/106.31  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 106.03/106.31  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 106.03/106.31  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 106.03/106.31  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 106.03/106.31  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 106.03/106.31  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 106.03/106.31  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 106.03/106.31  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 106.03/106.31  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 106.03/106.31  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 106.03/106.31  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 106.03/106.31  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 106.03/106.31  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 106.03/106.31  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 106.03/106.31  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 106.03/106.31  Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq ((fofType->Prop)->Prop)) b) (fun (x:(fofType->Prop))=> (b x)))
% 106.03/106.31  Found (eta_expansion_dep00 b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 106.03/106.31  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 106.03/106.31  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 106.03/106.31  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 106.03/106.31  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) b0)
% 106.03/106.31  Found c_2:fofType
% 106.03/106.31  Found c_2 as proof of fofType
% 106.03/106.31  Found False:Prop
% 106.03/106.31  Found False as proof of Prop
% 106.03/106.31  Found ((x00 c_2) False) as proof of False
% 106.03/106.31  Found ((x00 c_2) False) as proof of False
% 106.03/106.31  Found (fun (x00:(x1 (absval Xy)))=> ((x00 c_2) False)) as proof of False
% 106.03/106.31  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) False)) as proof of ((x1 (absval Xy))->False)
% 106.03/106.31  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) False)) as proof of (forall (Xy:fofType), ((x1 (absval Xy))->False))
% 106.03/106.31  Found ((conj00 (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) a)
% 106.03/106.31  Found (((conj0 a) (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) a)
% 106.03/106.31  Found ((((conj (forall (Xy:fofType), ((x1 (absval Xy))->False))) a) (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) a)
% 107.98/108.22  Found ((((conj (forall (Xy:fofType), ((x1 (absval Xy))->False))) a) (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) a)
% 107.98/108.22  Found ((((conj (forall (Xy:fofType), ((x1 (absval Xy))->False))) a) (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) False))) ex_intro0) as proof of (P a)
% 107.98/108.22  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 107.98/108.22  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 107.98/108.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 107.98/108.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 107.98/108.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 107.98/108.22  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 107.98/108.22  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 107.98/108.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 107.98/108.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 107.98/108.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 107.98/108.22  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 107.98/108.22  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 107.98/108.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 107.98/108.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 107.98/108.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 107.98/108.22  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 107.98/108.22  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 107.98/108.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 107.98/108.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 107.98/108.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 107.98/108.22  Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 107.98/108.22  Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 107.98/108.22  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 107.98/108.22  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 107.98/108.22  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 107.98/108.22  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f0 x)) (f x)))
% 107.98/108.22  Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 107.98/108.22  Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 107.98/108.22  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 107.98/108.22  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 107.98/108.22  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 107.98/108.22  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f0 x)) (f x)))
% 107.98/108.22  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 107.98/108.22  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 107.98/108.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 107.98/108.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 107.98/108.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 107.98/108.22  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 107.98/108.22  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 107.98/108.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 107.98/108.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 107.98/108.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 107.98/108.22  Found False:Prop
% 107.98/108.22  Found False as proof of Prop
% 107.98/108.22  Found c_2:fofType
% 107.98/108.22  Found c_2 as proof of fofType
% 107.98/108.22  Found ((x2 c_2) False) as proof of False
% 107.98/108.22  Found ((x2 c_2) False) as proof of False
% 107.98/108.22  Found (fun (x2:(x1 (absval Xy)))=> ((x2 c_2) False)) as proof of False
% 107.98/108.22  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) False)) as proof of (not (x1 (absval Xy)))
% 107.98/108.22  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) False)) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 107.98/108.22  Found ((conj00 (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) a)
% 107.98/108.22  Found (((conj0 a) (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) a)
% 110.33/110.54  Found ((((conj (forall (Xy:fofType), (not (x1 (absval Xy))))) a) (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) a)
% 110.33/110.54  Found ((((conj (forall (Xy:fofType), (not (x1 (absval Xy))))) a) (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) a)
% 110.33/110.54  Found ((((conj (forall (Xy:fofType), (not (x1 (absval Xy))))) a) (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) False))) ex_intro0) as proof of (P a)
% 110.33/110.54  Found eta_expansion000:=(eta_expansion00 f):(((eq ((fofType->Prop)->Prop)) f) (fun (x:(fofType->Prop))=> (f x)))
% 110.33/110.54  Found (eta_expansion00 f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 110.33/110.54  Found ((eta_expansion0 Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 110.33/110.54  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 110.33/110.54  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 110.33/110.54  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 110.33/110.54  Found eta_expansion000:=(eta_expansion00 f):(((eq ((fofType->Prop)->Prop)) f) (fun (x:(fofType->Prop))=> (f x)))
% 110.33/110.54  Found (eta_expansion00 f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 110.33/110.54  Found ((eta_expansion0 Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 110.33/110.54  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 110.33/110.54  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 110.33/110.54  Found (((eta_expansion (fofType->Prop)) Prop) f) as proof of (((eq ((fofType->Prop)->Prop)) f) b)
% 110.33/110.54  Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 110.33/110.54  Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 110.33/110.54  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 110.33/110.54  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 110.33/110.54  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 110.33/110.54  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f0 x)) (f x)))
% 110.33/110.54  Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 110.33/110.54  Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 110.33/110.54  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 110.33/110.54  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 110.33/110.54  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 110.33/110.54  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f0 x)) (f x)))
% 110.33/110.54  Found x2:(P0 (f x1))
% 110.33/110.54  Instantiate: b:=(f x1):Prop
% 110.33/110.54  Found x2 as proof of (P1 b)
% 110.33/110.54  Found x2:(P0 (f x1))
% 110.33/110.54  Instantiate: b:=(f x1):Prop
% 110.33/110.54  Found x2 as proof of (P1 b)
% 110.33/110.54  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 110.33/110.54  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 110.33/110.54  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 110.33/110.54  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 110.33/110.54  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 110.33/110.54  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 112.12/112.37  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 112.12/112.37  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 112.12/112.37  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 112.12/112.37  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 112.12/112.37  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 112.12/112.37  Found (eq_ref0 b0) as proof of (((eq fofType) b0) (absval Xv))
% 112.12/112.37  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 112.12/112.37  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 112.12/112.37  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 112.12/112.37  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 112.12/112.37  Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 112.12/112.37  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 112.12/112.37  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 112.12/112.37  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 112.12/112.37  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 112.12/112.37  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 112.12/112.37  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 112.12/112.37  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 112.12/112.37  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 112.12/112.37  Found (eq_sym010 ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 112.12/112.37  Found ((eq_sym01 b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 112.12/112.37  Found (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 112.12/112.37  Found (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 112.12/112.37  Found ((eq_trans0000 ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 112.12/112.37  Found (((eq_trans000 (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 112.12/112.37  Found ((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 112.12/112.37  Found (((((eq_trans0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 112.12/112.37  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 112.12/112.37  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 114.74/115.01  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 114.74/115.01  Found (eq_sym000 ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 114.74/115.01  Found ((eq_sym00 (f x1)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 114.74/115.01  Found (((eq_sym0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 114.74/115.01  Found ((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) ((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 114.74/115.01  Found ((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) ((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 114.74/115.01  Found c_2:fofType
% 114.74/115.01  Found c_2 as proof of fofType
% 114.74/115.01  Found (x00 c_2) as proof of False
% 114.74/115.01  Found (x00 c_2) as proof of False
% 114.74/115.01  Found (fun (x00:(x1 (absval Xy)))=> (x00 c_2)) as proof of False
% 114.74/115.01  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c_2)) as proof of ((x1 (absval Xy))->False)
% 114.74/115.01  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> (x00 c_2)) as proof of (forall (Xy:fofType), ((x1 (absval Xy))->False))
% 114.74/115.01  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 114.74/115.01  Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 115.17/115.43  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 115.17/115.43  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 115.17/115.43  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 115.17/115.43  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 115.17/115.43  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b0)
% 115.17/115.43  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 115.17/115.43  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 115.17/115.43  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 115.17/115.43  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 115.17/115.43  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 115.17/115.43  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 115.17/115.43  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 115.17/115.43  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 115.17/115.43  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 115.17/115.43  Found (eq_ref0 b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 115.17/115.43  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 115.17/115.43  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 115.17/115.43  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 115.17/115.43  Found ((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 115.17/115.43  Found ((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 115.17/115.43  Found (((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((eq_trans0000 x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 115.17/115.43  Found (((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_trans000 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 115.17/115.43  Found (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 115.17/115.43  Found (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((((eq_trans0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 115.17/115.43  Found (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 115.33/115.54  Found (fun (P0:(Prop->Prop))=> (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 115.33/115.54  Found (fun (P0:(Prop->Prop))=> (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 115.33/115.54  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 115.33/115.54  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 115.33/115.54  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 115.33/115.54  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 115.33/115.54  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 115.33/115.54  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 115.33/115.54  Found (eq_ref0 b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 115.33/115.54  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 115.33/115.54  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 115.33/115.54  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 115.33/115.54  Found ((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 115.33/115.54  Found ((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 115.33/115.54  Found (((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((eq_trans0000 x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 115.33/115.54  Found (((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_trans000 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 115.33/115.54  Found (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 115.33/115.54  Found (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((((eq_trans0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.09/116.33  Found (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.09/116.33  Found (fun (P0:(Prop->Prop))=> (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.09/116.33  Found (fun (P0:(Prop->Prop))=> (((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) P0)) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 116.09/116.33  Found c_2:fofType
% 116.09/116.33  Found c_2 as proof of fofType
% 116.09/116.33  Found (x2 c_2) as proof of False
% 116.09/116.33  Found (x2 c_2) as proof of False
% 116.09/116.33  Found (fun (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of False
% 116.09/116.33  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (not (x1 (absval Xy)))
% 116.09/116.33  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 116.09/116.33  Found eq_ref000:=(eq_ref00 P0):((P0 (f x1))->(P0 (f x1)))
% 116.09/116.33  Found (eq_ref00 P0) as proof of (P1 (f x1))
% 116.09/116.33  Found ((eq_ref0 (f x1)) P0) as proof of (P1 (f x1))
% 116.09/116.33  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 116.09/116.33  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 116.09/116.33  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 116.09/116.33  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 116.09/116.33  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 116.09/116.33  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 116.09/116.33  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 116.09/116.33  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 116.09/116.33  Found (eq_ref0 b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 116.09/116.33  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 116.09/116.33  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 116.09/116.33  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 116.09/116.33  Found (((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.09/116.34  Found (((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.09/116.34  Found ((((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((eq_trans0000 x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.09/116.34  Found ((((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_trans000 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.09/116.34  Found ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.09/116.34  Found ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((((eq_trans0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.09/116.34  Found ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.09/116.34  Found (fun (P0:(Prop->Prop))=> ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.09/116.34  Found (fun (P0:(Prop->Prop))=> ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 116.22/116.50  Found eq_ref000:=(eq_ref00 P0):((P0 (f x1))->(P0 (f x1)))
% 116.22/116.50  Found (eq_ref00 P0) as proof of (P1 (f x1))
% 116.22/116.50  Found ((eq_ref0 (f x1)) P0) as proof of (P1 (f x1))
% 116.22/116.50  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 116.22/116.50  Found (((eq_ref Prop) (f x1)) P0) as proof of (P1 (f x1))
% 116.22/116.50  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 116.22/116.50  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 116.22/116.50  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 116.22/116.50  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 116.22/116.50  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 116.22/116.50  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 116.22/116.50  Found (eq_ref0 b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 116.22/116.50  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 116.22/116.50  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 116.22/116.50  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 116.22/116.50  Found (((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.22/116.50  Found (((eq_trans00000 ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.22/116.50  Found ((((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((eq_trans0000 x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.22/116.50  Found ((((fun (x2:(((eq Prop) (f x1)) b)) (x3:(((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_trans000 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) b)) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.22/116.50  Found ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 116.22/116.50  Found ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((((eq_trans0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 118.93/119.13  Found ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 118.93/119.13  Found (fun (P0:(Prop->Prop))=> ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 118.93/119.13  Found (fun (P0:(Prop->Prop))=> ((((fun (x2:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (x3:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((((eq_trans Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x2) x3) (fun (x5:Prop)=> ((P0 (f x1))->(P0 x5))))) ((eq_ref Prop) (f x1))) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_ref Prop) (f x1)) P0))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 118.93/119.13  Found x2:(P c_2)
% 118.93/119.13  Instantiate: b:=c_2:fofType
% 118.93/119.13  Found x2 as proof of (P0 b)
% 118.93/119.13  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 118.93/119.13  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 118.93/119.13  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 118.93/119.13  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 118.93/119.13  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 118.93/119.13  Found x2:(P c_2)
% 118.93/119.13  Instantiate: b:=c_2:fofType
% 118.93/119.13  Found x2 as proof of (P0 b)
% 118.93/119.13  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 118.93/119.13  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 118.93/119.13  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 118.93/119.13  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 118.93/119.13  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 118.93/119.13  Found c_2:fofType
% 118.93/119.13  Found c_2 as proof of fofType
% 118.93/119.13  Found False:Prop
% 118.93/119.13  Found False as proof of Prop
% 118.93/119.13  Found ((x00 c_2) False) as proof of False
% 118.93/119.13  Found ((x00 c_2) False) as proof of False
% 118.93/119.13  Found (fun (x00:(x1 (absval Xy)))=> ((x00 c_2) False)) as proof of False
% 118.93/119.13  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) False)) as proof of ((x1 (absval Xy))->False)
% 118.93/119.13  Found (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) False)) as proof of (forall (Xy:fofType), ((x1 (absval Xy))->False))
% 118.93/119.13  Found False:Prop
% 118.93/119.13  Found False as proof of Prop
% 118.93/119.13  Found c_2:fofType
% 118.93/119.13  Found c_2 as proof of fofType
% 118.93/119.13  Found ((x2 c_2) False) as proof of False
% 118.93/119.13  Found ((x2 c_2) False) as proof of False
% 118.93/119.13  Found (fun (x2:(x1 (absval Xy)))=> ((x2 c_2) False)) as proof of False
% 118.93/119.13  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) False)) as proof of (not (x1 (absval Xy)))
% 118.93/119.13  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) False)) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 126.29/126.52  Found x2:(P c_2)
% 126.29/126.52  Instantiate: b:=c_2:fofType
% 126.29/126.52  Found x2 as proof of (P0 b)
% 126.29/126.52  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 126.29/126.52  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 126.29/126.52  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 126.29/126.52  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 126.29/126.52  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 126.29/126.52  Found x2:(P c_2)
% 126.29/126.52  Instantiate: b:=c_2:fofType
% 126.29/126.52  Found x2 as proof of (P0 b)
% 126.29/126.52  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 126.29/126.52  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 126.29/126.52  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 126.29/126.52  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 126.29/126.52  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 126.29/126.52  Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 126.29/126.52  Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 126.29/126.52  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 126.29/126.52  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 126.29/126.52  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 126.29/126.52  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f0 x)) (f x)))
% 126.29/126.52  Found eq_ref00:=(eq_ref0 (f0 x1)):(((eq Prop) (f0 x1)) (f0 x1))
% 126.29/126.52  Found (eq_ref0 (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 126.29/126.52  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 126.29/126.52  Found ((eq_ref Prop) (f0 x1)) as proof of (((eq Prop) (f0 x1)) (f x1))
% 126.29/126.52  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (((eq Prop) (f0 x1)) (f x1))
% 126.29/126.52  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f0 x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f0 x)) (f x)))
% 126.29/126.52  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 126.29/126.52  Found (eq_ref00 P) as proof of (P0 c_2)
% 126.29/126.52  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 126.29/126.52  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 126.29/126.52  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 126.29/126.52  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 126.29/126.52  Found (eq_ref00 P) as proof of (P0 c_2)
% 126.29/126.52  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 126.29/126.52  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 126.29/126.52  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 126.29/126.52  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 126.29/126.52  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 126.29/126.52  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 126.29/126.52  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 126.29/126.52  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 126.29/126.52  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 126.29/126.52  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 126.29/126.52  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 126.29/126.52  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 126.29/126.52  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 126.29/126.52  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 126.29/126.52  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 126.29/126.52  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 126.29/126.52  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 126.29/126.52  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 126.29/126.52  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 126.29/126.52  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 126.29/126.52  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 126.29/126.52  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 126.29/126.52  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 126.29/126.52  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 126.29/126.52  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 126.29/126.52  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 126.29/126.52  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 126.29/126.52  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 126.29/126.52  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 131.46/131.67  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 131.46/131.67  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 131.46/131.67  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 131.46/131.67  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 131.46/131.67  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 131.46/131.67  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 131.46/131.67  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 131.46/131.67  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 131.46/131.67  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 131.46/131.67  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 131.46/131.67  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 131.46/131.67  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 131.46/131.67  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 131.46/131.67  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 131.46/131.67  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.46/131.67  Found (eq_ref0 a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.46/131.67  Found (eq_ref0 a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.46/131.67  Found (eq_ref0 a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.46/131.67  Found (eq_ref0 a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.46/131.67  Found (eq_ref0 a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.46/131.67  Found (eq_ref0 a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (x1 c_2))
% 131.46/131.67  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 131.46/131.67  Found (eq_ref0 b) as proof of (P b)
% 131.46/131.67  Found ((eq_ref fofType) b) as proof of (P b)
% 131.46/131.67  Found ((eq_ref fofType) b) as proof of (P b)
% 131.46/131.67  Found ((eq_ref fofType) b) as proof of (P b)
% 131.46/131.67  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 131.46/131.67  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 131.46/131.67  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 131.46/131.67  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 131.46/131.67  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 131.46/131.67  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 131.46/131.67  Found (eq_ref0 b) as proof of (P b)
% 131.46/131.67  Found ((eq_ref fofType) b) as proof of (P b)
% 131.46/131.67  Found ((eq_ref fofType) b) as proof of (P b)
% 131.46/131.67  Found ((eq_ref fofType) b) as proof of (P b)
% 131.46/131.67  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 131.46/131.67  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 131.46/131.67  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 131.46/131.67  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 131.46/131.67  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 131.46/131.67  Found x2:(P (absval Xv))
% 131.46/131.67  Instantiate: b:=(absval Xv):fofType
% 131.46/131.67  Found x2 as proof of (P0 b)
% 131.46/131.67  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 131.46/131.67  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 131.46/131.67  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 131.46/131.67  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found x2:(P (absval Xv))
% 135.58/135.83  Instantiate: b:=(absval Xv):fofType
% 135.58/135.83  Found x2 as proof of (P0 b)
% 135.58/135.83  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 135.58/135.83  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 135.58/135.83  Found (eq_ref00 P) as proof of (P0 c_2)
% 135.58/135.83  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 135.58/135.83  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 135.58/135.83  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 135.58/135.83  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 135.58/135.83  Found (eq_ref00 P) as proof of (P0 c_2)
% 135.58/135.83  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 135.58/135.83  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 135.58/135.83  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 135.58/135.83  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 135.58/135.83  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 135.58/135.83  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 135.58/135.83  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 135.58/135.83  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 135.58/135.83  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 135.58/135.83  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 135.58/135.83  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 135.58/135.83  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 135.58/135.83  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 135.58/135.83  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 135.58/135.83  Found (eq_ref0 b) as proof of (P b)
% 135.58/135.83  Found ((eq_ref fofType) b) as proof of (P b)
% 135.58/135.83  Found ((eq_ref fofType) b) as proof of (P b)
% 135.58/135.83  Found ((eq_ref fofType) b) as proof of (P b)
% 135.58/135.83  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 135.58/135.83  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 135.58/135.83  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 135.58/135.83  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 135.58/135.83  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 135.58/135.83  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 147.88/148.12  Found (eq_ref0 b) as proof of (P b)
% 147.88/148.12  Found ((eq_ref fofType) b) as proof of (P b)
% 147.88/148.12  Found ((eq_ref fofType) b) as proof of (P b)
% 147.88/148.12  Found ((eq_ref fofType) b) as proof of (P b)
% 147.88/148.12  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 147.88/148.12  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 147.88/148.12  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 147.88/148.12  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 147.88/148.12  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 147.88/148.12  Found x2:(P (absval Xv))
% 147.88/148.12  Instantiate: b:=(absval Xv):fofType
% 147.88/148.12  Found x2 as proof of (P0 b)
% 147.88/148.12  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 147.88/148.12  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 147.88/148.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 147.88/148.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 147.88/148.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 147.88/148.12  Found x2:(P (absval Xv))
% 147.88/148.12  Instantiate: b:=(absval Xv):fofType
% 147.88/148.12  Found x2 as proof of (P0 b)
% 147.88/148.12  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 147.88/148.12  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 147.88/148.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 147.88/148.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 147.88/148.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 147.88/148.12  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 147.88/148.12  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b0)
% 147.88/148.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 147.88/148.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 147.88/148.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 147.88/148.12  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 147.88/148.12  Found (eq_ref0 b0) as proof of (((eq fofType) b0) (absval Xv))
% 147.88/148.12  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 147.88/148.12  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 147.88/148.12  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 147.88/148.12  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 147.88/148.12  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b0)
% 147.88/148.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 147.88/148.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 147.88/148.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 147.88/148.12  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 147.88/148.12  Found (eq_ref0 b0) as proof of (((eq fofType) b0) (absval Xv))
% 147.88/148.12  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 147.88/148.12  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 147.88/148.12  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 147.88/148.12  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 147.88/148.12  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 147.88/148.12  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 147.88/148.12  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 147.88/148.12  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 147.88/148.12  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 147.88/148.12  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b0)
% 147.88/148.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 147.88/148.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 147.88/148.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 149.22/149.46  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 149.22/149.46  Found (eq_ref0 b0) as proof of (((eq fofType) b0) (absval Xv))
% 149.22/149.46  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 149.22/149.46  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 149.22/149.46  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 149.22/149.46  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 149.22/149.46  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b0)
% 149.22/149.46  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 149.22/149.46  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 149.22/149.46  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 149.22/149.46  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 149.22/149.46  Found (eq_ref0 b0) as proof of (((eq fofType) b0) (absval Xv))
% 149.22/149.46  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 149.22/149.46  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 149.22/149.46  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 149.22/149.46  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 149.22/149.46  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 149.22/149.46  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 149.22/149.46  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 149.22/149.46  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 149.22/149.46  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 149.22/149.46  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 149.22/149.46  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 149.22/149.46  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 149.22/149.46  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 149.22/149.46  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 149.22/149.46  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 149.22/149.46  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 149.22/149.46  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 149.22/149.46  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 149.22/149.46  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 149.22/149.46  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 149.22/149.46  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 149.22/149.46  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 149.22/149.46  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 149.22/149.46  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 149.22/149.46  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 149.22/149.46  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 149.22/149.46  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 149.22/149.46  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 149.22/149.46  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 149.22/149.46  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 150.35/150.56  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 150.35/150.56  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 150.35/150.56  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 150.35/150.56  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 150.35/150.56  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 150.35/150.56  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 150.35/150.56  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 150.35/150.56  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 150.35/150.56  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 150.35/150.56  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 150.35/150.56  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 150.35/150.56  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 150.35/150.56  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 150.35/150.56  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 150.35/150.56  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 158.23/158.46  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 158.23/158.46  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 158.23/158.46  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 158.23/158.46  Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 158.23/158.46  Found (eq_ref00 P) as proof of (P0 b)
% 158.23/158.46  Found ((eq_ref0 b) P) as proof of (P0 b)
% 158.23/158.46  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 158.23/158.46  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 158.23/158.46  Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 158.23/158.46  Found (eq_ref00 P) as proof of (P0 b)
% 158.23/158.46  Found ((eq_ref0 b) P) as proof of (P0 b)
% 158.23/158.46  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 158.23/158.46  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 158.23/158.46  Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 158.23/158.46  Found (eq_ref00 P) as proof of (P0 b)
% 158.23/158.46  Found ((eq_ref0 b) P) as proof of (P0 b)
% 158.23/158.46  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 158.23/158.46  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 158.23/158.46  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 158.23/158.46  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 158.23/158.46  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 158.23/158.46  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 158.23/158.46  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 158.23/158.46  Found eq_ref000:=(eq_ref00 P):((P (absval Xv))->(P (absval Xv)))
% 158.23/158.46  Found (eq_ref00 P) as proof of (P0 (absval Xv))
% 158.23/158.46  Found ((eq_ref0 (absval Xv)) P) as proof of (P0 (absval Xv))
% 158.23/158.46  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 158.23/158.46  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 158.23/158.46  Found eq_ref000:=(eq_ref00 P):((P (absval Xv))->(P (absval Xv)))
% 158.23/158.46  Found (eq_ref00 P) as proof of (P0 (absval Xv))
% 158.23/158.46  Found ((eq_ref0 (absval Xv)) P) as proof of (P0 (absval Xv))
% 158.23/158.46  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 158.23/158.46  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 158.23/158.46  Found eq_ref000:=(eq_ref00 P):((P (absval Xv))->(P (absval Xv)))
% 158.23/158.46  Found (eq_ref00 P) as proof of (P0 (absval Xv))
% 158.23/158.46  Found ((eq_ref0 (absval Xv)) P) as proof of (P0 (absval Xv))
% 158.23/158.46  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 158.23/158.46  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 158.23/158.46  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 158.23/158.46  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 158.23/158.46  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 158.23/158.46  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 158.23/158.46  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 158.23/158.46  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 158.23/158.46  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 158.23/158.46  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 158.23/158.46  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 158.23/158.46  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 158.23/158.46  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 158.23/158.46  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 158.23/158.46  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 158.23/158.46  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 158.23/158.46  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 158.23/158.46  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 158.23/158.46  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 158.23/158.46  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 160.93/161.17  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 160.93/161.17  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 160.93/161.17  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 160.93/161.17  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 160.93/161.17  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 160.93/161.17  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 160.93/161.17  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 160.93/161.17  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 160.93/161.17  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 160.93/161.17  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 160.93/161.17  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 160.93/161.17  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 160.93/161.17  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 160.93/161.17  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 169.62/169.87  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 169.62/169.87  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 169.62/169.87  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 169.62/169.87  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 169.62/169.87  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 169.62/169.87  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 169.62/169.87  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 169.62/169.87  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 169.62/169.87  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 169.62/169.87  Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 169.62/169.87  Found (eq_ref00 P) as proof of (P0 b)
% 169.62/169.87  Found ((eq_ref0 b) P) as proof of (P0 b)
% 169.62/169.87  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 169.62/169.87  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 169.62/169.87  Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 169.62/169.87  Found (eq_ref00 P) as proof of (P0 b)
% 169.62/169.87  Found ((eq_ref0 b) P) as proof of (P0 b)
% 169.62/169.87  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 169.62/169.87  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 169.62/169.87  Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 169.62/169.87  Found (eq_ref00 P) as proof of (P0 b)
% 169.62/169.87  Found ((eq_ref0 b) P) as proof of (P0 b)
% 169.62/169.87  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 169.62/169.87  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 169.62/169.87  Found x2:(P (absval Xv))
% 169.62/169.87  Instantiate: b:=(absval Xv):fofType
% 169.62/169.87  Found x2 as proof of (P0 b)
% 169.62/169.87  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 169.62/169.87  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 169.62/169.87  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 169.62/169.87  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 169.62/169.87  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 169.62/169.87  Found eq_ref000:=(eq_ref00 P):((P (absval Xv))->(P (absval Xv)))
% 169.62/169.87  Found (eq_ref00 P) as proof of (P0 (absval Xv))
% 169.62/169.87  Found ((eq_ref0 (absval Xv)) P) as proof of (P0 (absval Xv))
% 172.93/173.22  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 172.93/173.22  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 172.93/173.22  Found eq_ref000:=(eq_ref00 P):((P (absval Xv))->(P (absval Xv)))
% 172.93/173.22  Found (eq_ref00 P) as proof of (P0 (absval Xv))
% 172.93/173.22  Found ((eq_ref0 (absval Xv)) P) as proof of (P0 (absval Xv))
% 172.93/173.22  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 172.93/173.22  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 172.93/173.22  Found eq_ref000:=(eq_ref00 P):((P (absval Xv))->(P (absval Xv)))
% 172.93/173.22  Found (eq_ref00 P) as proof of (P0 (absval Xv))
% 172.93/173.22  Found ((eq_ref0 (absval Xv)) P) as proof of (P0 (absval Xv))
% 172.93/173.22  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 172.93/173.22  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 172.93/173.22  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 172.93/173.22  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 172.93/173.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 172.93/173.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 172.93/173.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 172.93/173.22  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 172.93/173.22  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 172.93/173.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 172.93/173.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 172.93/173.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 172.93/173.22  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 172.93/173.22  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 172.93/173.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 172.93/173.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 172.93/173.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 172.93/173.22  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 172.93/173.22  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 172.93/173.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 172.93/173.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 173.02/173.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 173.02/173.22  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 173.02/173.22  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 173.02/173.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 173.02/173.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 173.02/173.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 173.02/173.22  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 173.02/173.22  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 173.02/173.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 173.02/173.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 173.02/173.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 173.02/173.22  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 173.02/173.22  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 173.02/173.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 173.02/173.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 173.02/173.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 173.02/173.22  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 173.02/173.22  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 173.02/173.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 173.02/173.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 173.02/173.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 173.02/173.22  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 173.02/173.22  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 173.02/173.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 173.02/173.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 173.02/173.22  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 173.02/173.22  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 173.02/173.22  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 173.02/173.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 173.02/173.22  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 174.51/174.75  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 174.51/174.75  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 174.51/174.75  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 174.51/174.75  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 174.51/174.75  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 174.51/174.75  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 174.51/174.75  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 174.51/174.75  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 174.51/174.75  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 174.51/174.75  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 174.51/174.75  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 174.51/174.75  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 174.51/174.75  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 174.51/174.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 189.87/190.12  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 189.87/190.12  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 189.87/190.12  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 189.87/190.12  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 189.87/190.12  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 189.87/190.12  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 189.87/190.12  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 189.87/190.12  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 189.87/190.12  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 189.87/190.12  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 189.87/190.12  Found x2:(P (absval Xv))
% 189.87/190.12  Instantiate: b:=(absval Xv):fofType
% 189.87/190.12  Found x2 as proof of (P0 b)
% 189.87/190.12  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 189.87/190.12  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 189.87/190.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 189.87/190.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 189.87/190.12  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 189.87/190.12  Found eq_ref00:=(eq_ref0 a):(((eq ((fofType->Prop)->Prop)) a) a)
% 189.87/190.12  Found (eq_ref0 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 189.87/190.12  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 189.87/190.12  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 189.87/190.12  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 189.87/190.12  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 189.87/190.12  Found (eq_ref0 b0) as proof of (((eq fofType) b0) c_2)
% 189.87/190.12  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 189.87/190.12  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 189.87/190.12  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 189.87/190.12  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 189.87/190.12  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 189.87/190.12  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 189.87/190.12  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 189.87/190.12  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 189.87/190.12  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 189.87/190.12  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 189.87/190.12  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 189.87/190.12  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 189.87/190.12  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 189.87/190.12  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 189.87/190.12  Found (eq_ref0 b0) as proof of (((eq fofType) b0) c_2)
% 189.87/190.12  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 189.87/190.12  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 189.87/190.12  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 189.87/190.12  Found eq_ref00:=(eq_ref0 a):(((eq ((fofType->Prop)->Prop)) a) a)
% 189.87/190.12  Found (eq_ref0 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 189.87/190.12  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 189.87/190.12  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 189.87/190.12  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 189.87/190.12  Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq ((fofType->Prop)->Prop)) a) (fun (x:(fofType->Prop))=> (a x)))
% 189.87/190.12  Found (eta_expansion_dep00 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 189.87/190.12  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 189.87/190.12  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 189.87/190.12  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 189.87/190.12  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 189.87/190.12  Found eq_ref000:=(eq_ref00 P):((P (absval Xv))->(P (absval Xv)))
% 193.93/194.15  Found (eq_ref00 P) as proof of (P0 (absval Xv))
% 193.93/194.15  Found ((eq_ref0 (absval Xv)) P) as proof of (P0 (absval Xv))
% 193.93/194.15  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 193.93/194.15  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 193.93/194.15  Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 193.93/194.15  Found (eq_ref00 P) as proof of (P0 b)
% 193.93/194.15  Found ((eq_ref0 b) P) as proof of (P0 b)
% 193.93/194.15  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 193.93/194.15  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 193.93/194.15  Found eq_ref000:=(eq_ref00 P):((P (absval Xv))->(P (absval Xv)))
% 193.93/194.15  Found (eq_ref00 P) as proof of (P0 (absval Xv))
% 193.93/194.15  Found ((eq_ref0 (absval Xv)) P) as proof of (P0 (absval Xv))
% 193.93/194.15  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 193.93/194.15  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 193.93/194.15  Found eq_ref00:=(eq_ref0 a):(((eq ((fofType->Prop)->Prop)) a) a)
% 193.93/194.15  Found (eq_ref0 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 193.93/194.15  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 193.93/194.15  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 193.93/194.15  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 193.93/194.15  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 193.93/194.15  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 193.93/194.15  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 193.93/194.15  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 193.93/194.15  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 193.93/194.15  Found (eq_sym010 ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 193.93/194.15  Found ((eq_sym01 b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 193.93/194.15  Found (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 193.93/194.15  Found (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 193.93/194.15  Found ((eq_trans0000 ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 193.93/194.15  Found (((eq_trans000 (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 193.93/194.15  Found ((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 193.93/194.15  Found (((((eq_trans0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 193.93/194.15  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 193.93/194.15  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 193.93/194.16  Found (eq_sym0000 ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 193.93/194.16  Found (eq_sym0000 ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 193.93/194.16  Found ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> ((eq_sym000 x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 193.93/194.16  Found ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((eq_sym00 (f x1)) x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 193.93/194.16  Found ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> ((((eq_sym0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 193.93/194.16  Found ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) ((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 193.93/194.16  Found (fun (P0:(Prop->Prop))=> ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) ((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 194.07/194.33  Found (fun (P0:(Prop->Prop))=> ((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) P0)) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) ((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))))) as proof of (forall (P:(Prop->Prop)), ((P (f x1))->(P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))))
% 194.07/194.33  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 194.07/194.33  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 194.07/194.33  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 194.07/194.33  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 194.07/194.33  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 194.07/194.33  Found (eq_sym010 ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 194.07/194.33  Found ((eq_sym01 b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 194.07/194.33  Found (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 194.07/194.33  Found (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1))) as proof of (((eq Prop) b) (f x1))
% 194.07/194.33  Found ((eq_trans0000 ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 194.07/194.33  Found (((eq_trans000 (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) b) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 194.07/194.33  Found ((((eq_trans00 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 194.07/194.33  Found (((((eq_trans0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 194.07/194.33  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 194.07/194.33  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (forall (P:(Prop->Prop)), ((P ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P (f x1))))
% 194.07/194.33  Found ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1)))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 194.07/194.35  Found ((eq_sym0000 ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 194.07/194.35  Found ((eq_sym0000 ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 194.07/194.35  Found (((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> ((eq_sym000 x2) (fun (x4:Prop)=> ((P0 (f x1))->(P0 x4))))) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 194.07/194.35  Found (((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((eq_sym00 (f x1)) x2) (fun (x4:Prop)=> ((P0 (f x1))->(P0 x4))))) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 194.07/194.35  Found (((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> ((((eq_sym0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) (fun (x4:Prop)=> ((P0 (f x1))->(P0 x4))))) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) (((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 194.07/194.35  Found (((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) (fun (x4:Prop)=> ((P0 (f x1))->(P0 x4))))) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) ((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 194.07/194.35  Found (fun (P0:(Prop->Prop))=> (((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) (fun (x4:Prop)=> ((P0 (f x1))->(P0 x4))))) ((((((eq_trans Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))) ((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((eq_ref Prop) (f x1))))) (((eq_ref Prop) (f x1)) P0))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 197.06/197.30  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 197.06/197.30  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 197.06/197.30  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 197.06/197.30  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 197.06/197.30  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a x1))
% 197.06/197.30  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (a x)))
% 197.06/197.30  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 197.06/197.30  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 197.06/197.30  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 197.06/197.30  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 197.06/197.30  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a x1))
% 197.06/197.30  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (a x)))
% 197.06/197.30  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 197.06/197.30  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 197.06/197.30  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 197.06/197.30  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 197.06/197.30  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 197.06/197.30  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 197.06/197.30  Found (eq_ref0 b0) as proof of (((eq fofType) b0) c_2)
% 197.06/197.30  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 197.06/197.30  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 197.06/197.30  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 197.06/197.30  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 197.06/197.30  Found (eq_ref0 b0) as proof of (((eq fofType) b0) c_2)
% 197.06/197.30  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 197.06/197.30  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 197.06/197.30  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 197.06/197.30  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 197.06/197.30  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 197.06/197.30  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 197.06/197.30  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 197.06/197.30  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 197.06/197.30  Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq ((fofType->Prop)->Prop)) a) (fun (x:(fofType->Prop))=> (a x)))
% 197.06/197.30  Found (eta_expansion_dep00 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 197.06/197.30  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 197.06/197.30  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 197.06/197.30  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 197.06/197.30  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 197.06/197.30  Found eq_ref00:=(eq_ref0 a):(((eq ((fofType->Prop)->Prop)) a) a)
% 197.06/197.30  Found (eq_ref0 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 197.06/197.30  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 197.06/197.30  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 197.06/197.30  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 199.31/199.62  Found eq_ref00:=(eq_ref0 b0):(((eq ((fofType->Prop)->Prop)) b0) b0)
% 199.31/199.62  Found (eq_ref0 b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 199.31/199.62  Found ((eq_ref ((fofType->Prop)->Prop)) b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 199.31/199.62  Found ((eq_ref ((fofType->Prop)->Prop)) b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 199.31/199.62  Found ((eq_ref ((fofType->Prop)->Prop)) b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 199.31/199.62  Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq ((fofType->Prop)->Prop)) a) (fun (x:(fofType->Prop))=> (a x)))
% 199.31/199.62  Found (eta_expansion_dep00 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 199.31/199.62  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 199.31/199.62  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 199.31/199.62  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 199.31/199.62  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 199.31/199.62  Found eq_ref00:=(eq_ref0 a):(((eq ((fofType->Prop)->Prop)) a) a)
% 199.31/199.62  Found (eq_ref0 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 199.31/199.62  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 199.31/199.62  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 199.31/199.62  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 199.31/199.62  Found ex_intro0:=(ex_intro (fofType->Prop)):(forall (P:((fofType->Prop)->Prop)) (x:(fofType->Prop)), ((P x)->((ex (fofType->Prop)) P)))
% 199.31/199.62  Instantiate: b:=(forall (P:((fofType->Prop)->Prop)) (x:(fofType->Prop)), ((P x)->((ex (fofType->Prop)) P))):Prop
% 199.31/199.62  Found ex_intro0 as proof of b
% 199.31/199.62  Found ex_intro0 as proof of a
% 199.31/199.62  Found ((conj00 (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) a)
% 199.31/199.62  Found (((conj0 a) (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) a)
% 199.31/199.62  Found ((((conj (forall (Xy:fofType), ((x1 (absval Xy))->False))) a) (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) a)
% 199.31/199.62  Found ((((conj (forall (Xy:fofType), ((x1 (absval Xy))->False))) a) (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) a)
% 199.31/199.62  Found ((((conj (forall (Xy:fofType), ((x1 (absval Xy))->False))) a) (fun (Xy:fofType) (x00:(x1 (absval Xy)))=> ((x00 c_2) False))) ex_intro0) as proof of (P a)
% 199.31/199.62  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 199.31/199.62  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 199.31/199.62  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 199.31/199.62  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 199.31/199.62  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a x1))
% 199.31/199.62  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (a x)))
% 199.31/199.62  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 199.31/199.62  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 199.31/199.62  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 199.31/199.62  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 199.31/199.62  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a x1))
% 199.31/199.62  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (a x)))
% 199.31/199.62  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 199.31/199.62  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 199.31/199.62  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 199.31/199.62  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 199.31/199.62  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a x1))
% 203.22/203.46  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (a x)))
% 203.22/203.46  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 203.22/203.46  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 203.22/203.46  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 203.22/203.46  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 203.22/203.46  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a x1))
% 203.22/203.46  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (a x)))
% 203.22/203.46  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 203.22/203.46  Found (eq_ref0 b0) as proof of (((eq fofType) b0) c_2)
% 203.22/203.46  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 203.22/203.46  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 203.22/203.46  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 203.22/203.46  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 203.22/203.46  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 203.22/203.46  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 203.22/203.46  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 203.22/203.46  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 203.22/203.46  Found eq_ref00:=(eq_ref0 b0):(((eq ((fofType->Prop)->Prop)) b0) b0)
% 203.22/203.46  Found (eq_ref0 b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 203.22/203.46  Found ((eq_ref ((fofType->Prop)->Prop)) b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 203.22/203.46  Found ((eq_ref ((fofType->Prop)->Prop)) b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 203.22/203.46  Found ((eq_ref ((fofType->Prop)->Prop)) b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 203.22/203.46  Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq ((fofType->Prop)->Prop)) a) (fun (x:(fofType->Prop))=> (a x)))
% 203.22/203.46  Found (eta_expansion_dep00 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 203.22/203.46  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 203.22/203.46  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 203.22/203.46  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 203.22/203.46  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 203.22/203.46  Found eq_ref00:=(eq_ref0 a):(((eq ((fofType->Prop)->Prop)) a) a)
% 203.22/203.46  Found (eq_ref0 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 203.22/203.46  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 203.22/203.46  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 203.22/203.46  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 203.22/203.46  Found ex_intro0:=(ex_intro (fofType->Prop)):(forall (P:((fofType->Prop)->Prop)) (x:(fofType->Prop)), ((P x)->((ex (fofType->Prop)) P)))
% 203.22/203.46  Instantiate: b:=(forall (P:((fofType->Prop)->Prop)) (x:(fofType->Prop)), ((P x)->((ex (fofType->Prop)) P))):Prop
% 203.22/203.46  Found ex_intro0 as proof of b
% 203.22/203.46  Found ex_intro0 as proof of a
% 203.22/203.46  Found ((conj00 (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) a)
% 203.22/203.46  Found (((conj0 a) (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) a)
% 203.22/203.46  Found ((((conj (forall (Xy:fofType), (not (x1 (absval Xy))))) a) (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) a)
% 203.22/203.46  Found ((((conj (forall (Xy:fofType), (not (x1 (absval Xy))))) a) (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) False))) ex_intro0) as proof of ((and (forall (Xy:fofType), (not (x1 (absval Xy))))) a)
% 203.22/203.46  Found ((((conj (forall (Xy:fofType), (not (x1 (absval Xy))))) a) (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> ((x2 c_2) False))) ex_intro0) as proof of (P a)
% 208.01/208.25  Found eq_ref000:=(eq_ref00 P):((P (absval Xv))->(P (absval Xv)))
% 208.01/208.25  Found (eq_ref00 P) as proof of (P0 (absval Xv))
% 208.01/208.25  Found ((eq_ref0 (absval Xv)) P) as proof of (P0 (absval Xv))
% 208.01/208.25  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 208.01/208.25  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 208.01/208.25  Found eq_ref000:=(eq_ref00 P):((P (absval Xv))->(P (absval Xv)))
% 208.01/208.25  Found (eq_ref00 P) as proof of (P0 (absval Xv))
% 208.01/208.25  Found ((eq_ref0 (absval Xv)) P) as proof of (P0 (absval Xv))
% 208.01/208.25  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 208.01/208.25  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 208.01/208.25  Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 208.01/208.25  Found (eq_ref00 P) as proof of (P0 b)
% 208.01/208.25  Found ((eq_ref0 b) P) as proof of (P0 b)
% 208.01/208.25  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 208.01/208.25  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 208.01/208.25  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 208.01/208.25  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 208.01/208.25  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 208.01/208.25  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 208.01/208.25  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 208.01/208.25  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 208.01/208.25  Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 208.01/208.25  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 208.01/208.25  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 208.01/208.25  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 208.01/208.25  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 208.01/208.25  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 208.01/208.25  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 208.01/208.25  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 208.01/208.25  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 208.01/208.25  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 208.01/208.25  Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 208.01/208.25  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 208.01/208.25  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 208.01/208.25  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 208.01/208.25  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 208.01/208.25  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 208.01/208.25  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 208.01/208.25  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 208.01/208.25  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 208.01/208.25  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 208.01/208.25  Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 208.01/208.25  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 208.01/208.25  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 208.01/208.25  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 208.01/208.25  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 208.01/208.25  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 208.01/208.25  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 208.01/208.25  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 208.01/208.25  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a x1))
% 208.01/208.25  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (a x)))
% 208.01/208.25  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 208.01/208.25  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 208.01/208.25  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 208.01/208.25  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 208.01/208.25  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a x1))
% 208.01/208.25  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (a x)))
% 208.01/208.25  Found eta_expansion_dep000:=(eta_expansion_dep00 b0):(((eq ((fofType->Prop)->Prop)) b0) (fun (x:(fofType->Prop))=> (b0 x)))
% 208.01/208.25  Found (eta_expansion_dep00 b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 211.47/211.75  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 211.47/211.75  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 211.47/211.75  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 211.47/211.75  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 211.47/211.75  Found eq_ref00:=(eq_ref0 a):(((eq ((fofType->Prop)->Prop)) a) a)
% 211.47/211.75  Found (eq_ref0 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 211.47/211.75  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 211.47/211.75  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 211.47/211.75  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 211.47/211.75  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 211.47/211.75  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (a x)))
% 211.47/211.75  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 211.47/211.75  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (a x)))
% 211.47/211.75  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 211.47/211.75  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (a x)))
% 211.47/211.75  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 211.47/211.75  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (((eq Prop) (f x1)) (a x1))
% 211.47/211.75  Found (fun (x1:(fofType->Prop))=> ((eq_ref Prop) (f x1))) as proof of (forall (x:(fofType->Prop)), (((eq Prop) (f x)) (a x)))
% 211.47/211.75  Found eta_expansion_dep000:=(eta_expansion_dep00 b0):(((eq ((fofType->Prop)->Prop)) b0) (fun (x:(fofType->Prop))=> (b0 x)))
% 211.47/211.75  Found (eta_expansion_dep00 b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 211.47/211.75  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 211.47/211.75  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 211.47/211.75  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 211.47/211.75  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b0) as proof of (((eq ((fofType->Prop)->Prop)) b0) b)
% 211.47/211.75  Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq ((fofType->Prop)->Prop)) a) (fun (x:(fofType->Prop))=> (a x)))
% 211.47/211.75  Found (eta_expansion_dep00 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 211.47/211.75  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 211.47/211.75  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 211.47/211.75  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 215.30/215.53  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 215.30/215.53  Found eq_ref00:=(eq_ref0 a):(((eq ((fofType->Prop)->Prop)) a) a)
% 215.30/215.53  Found (eq_ref0 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 215.30/215.53  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 215.30/215.53  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 215.30/215.53  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b0)
% 215.30/215.53  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 215.30/215.53  Found (eq_ref0 b0) as proof of (((eq fofType) b0) c_2)
% 215.30/215.53  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 215.30/215.53  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 215.30/215.53  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) c_2)
% 215.30/215.53  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 215.30/215.53  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 215.30/215.53  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 215.30/215.53  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 215.30/215.53  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 215.30/215.53  Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq ((fofType->Prop)->Prop)) b) (fun (x:(fofType->Prop))=> (b x)))
% 215.30/215.53  Found (eta_expansion_dep00 b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 215.30/215.53  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 215.30/215.53  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 215.30/215.53  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 215.30/215.53  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 215.30/215.53  Found eta_expansion000:=(eta_expansion00 a):(((eq ((fofType->Prop)->Prop)) a) (fun (x:(fofType->Prop))=> (a x)))
% 215.30/215.53  Found (eta_expansion00 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 215.30/215.53  Found ((eta_expansion0 Prop) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 215.30/215.53  Found (((eta_expansion (fofType->Prop)) Prop) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 215.30/215.53  Found (((eta_expansion (fofType->Prop)) Prop) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 215.30/215.53  Found (((eta_expansion (fofType->Prop)) Prop) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 215.30/215.53  Found eta_expansion_dep000:=(eta_expansion_dep00 b):(((eq ((fofType->Prop)->Prop)) b) (fun (x:(fofType->Prop))=> (b x)))
% 215.30/215.53  Found (eta_expansion_dep00 b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 215.30/215.53  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 215.30/215.53  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 215.30/215.53  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 215.30/215.53  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 215.30/215.53  Found eq_ref00:=(eq_ref0 a):(((eq ((fofType->Prop)->Prop)) a) a)
% 215.30/215.53  Found (eq_ref0 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 215.30/215.53  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 215.30/215.53  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 215.30/215.53  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 215.30/215.53  Found eta_expansion000:=(eta_expansion00 b):(((eq ((fofType->Prop)->Prop)) b) (fun (x:(fofType->Prop))=> (b x)))
% 215.30/215.53  Found (eta_expansion00 b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 215.30/215.53  Found ((eta_expansion0 Prop) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 215.30/215.53  Found (((eta_expansion (fofType->Prop)) Prop) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 215.30/215.53  Found (((eta_expansion (fofType->Prop)) Prop) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 217.02/217.27  Found (((eta_expansion (fofType->Prop)) Prop) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 217.02/217.27  Found eq_ref00:=(eq_ref0 a):(((eq ((fofType->Prop)->Prop)) a) a)
% 217.02/217.27  Found (eq_ref0 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 217.02/217.27  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 217.02/217.27  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 217.02/217.27  Found ((eq_ref ((fofType->Prop)->Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 217.02/217.27  Found eq_ref00:=(eq_ref0 b):(((eq ((fofType->Prop)->Prop)) b) b)
% 217.02/217.27  Found (eq_ref0 b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 217.02/217.27  Found ((eq_ref ((fofType->Prop)->Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 217.02/217.27  Found ((eq_ref ((fofType->Prop)->Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 217.02/217.27  Found ((eq_ref ((fofType->Prop)->Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 217.02/217.27  Found eta_expansion000:=(eta_expansion00 a):(((eq ((fofType->Prop)->Prop)) a) (fun (x:(fofType->Prop))=> (a x)))
% 217.02/217.28  Found (eta_expansion00 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 217.02/217.28  Found ((eta_expansion0 Prop) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 217.02/217.28  Found (((eta_expansion (fofType->Prop)) Prop) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 217.02/217.28  Found (((eta_expansion (fofType->Prop)) Prop) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 217.02/217.28  Found (((eta_expansion (fofType->Prop)) Prop) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 217.02/217.28  Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq ((fofType->Prop)->Prop)) a) (fun (x:(fofType->Prop))=> (a x)))
% 217.02/217.28  Found (eta_expansion_dep00 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 217.02/217.28  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 217.02/217.28  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 217.02/217.28  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 217.02/217.28  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 217.02/217.28  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 217.02/217.28  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 217.02/217.28  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 217.02/217.28  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 217.02/217.28  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 217.02/217.28  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 217.02/217.28  Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 217.02/217.28  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 217.02/217.28  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 217.02/217.28  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 217.02/217.28  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 217.02/217.28  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 217.02/217.28  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 217.02/217.28  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 217.02/217.28  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 217.02/217.28  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 217.02/217.28  Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 217.02/217.28  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 217.02/217.28  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 217.02/217.28  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 217.02/217.28  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 217.02/217.28  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 217.02/217.28  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 217.02/217.28  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 217.02/217.28  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 217.02/217.28  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 217.02/217.28  Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 232.55/232.80  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 232.55/232.80  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 232.55/232.80  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 232.55/232.80  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 232.55/232.80  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 232.55/232.80  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 232.55/232.80  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 232.55/232.80  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 232.55/232.80  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 232.55/232.80  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 232.55/232.80  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 232.55/232.80  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 232.55/232.80  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 232.55/232.80  Found eq_ref000:=(eq_ref00 P):((P (absval Xv))->(P (absval Xv)))
% 232.55/232.80  Found (eq_ref00 P) as proof of (P0 (absval Xv))
% 232.55/232.80  Found ((eq_ref0 (absval Xv)) P) as proof of (P0 (absval Xv))
% 232.55/232.80  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 232.55/232.80  Found (((eq_ref fofType) (absval Xv)) P) as proof of (P0 (absval Xv))
% 232.55/232.80  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 232.55/232.80  Found (eq_ref0 b) as proof of (((eq fofType) b) c_2)
% 232.55/232.80  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 232.55/232.80  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 232.55/232.80  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) c_2)
% 232.55/232.80  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 232.55/232.80  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 232.55/232.80  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 232.55/232.80  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 232.55/232.80  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 232.55/232.80  Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 232.55/232.80  Found (eq_ref00 P) as proof of (P0 b)
% 232.55/232.80  Found ((eq_ref0 b) P) as proof of (P0 b)
% 232.55/232.80  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 232.55/232.80  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 232.55/232.80  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 232.55/232.80  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 232.55/232.80  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 232.55/232.80  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 232.55/232.80  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 232.55/232.80  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 232.55/232.80  Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 232.55/232.80  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 232.55/232.80  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 232.55/232.80  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 232.55/232.80  Found eq_ref00:=(eq_ref0 (x1 a)):(((eq Prop) (x1 a)) (x1 a))
% 232.55/232.80  Found (eq_ref0 (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 232.55/232.80  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 232.55/232.80  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 232.55/232.80  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 232.55/232.80  Found eq_ref00:=(eq_ref0 (x1 a)):(((eq Prop) (x1 a)) (x1 a))
% 232.55/232.80  Found (eq_ref0 (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 232.55/232.80  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 232.55/232.80  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 232.55/232.80  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 232.55/232.80  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 232.55/232.80  Found (eq_ref0 b0) as proof of (((eq fofType) b0) (absval Xv))
% 232.55/232.80  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 232.55/232.80  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 232.55/232.80  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 232.55/232.80  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 232.55/232.80  Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 232.55/232.80  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 232.55/232.80  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 232.55/232.80  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 232.55/232.80  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 232.55/232.80  Found (eq_ref0 b0) as proof of (((eq fofType) b0) (absval Xv))
% 238.39/238.69  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 238.39/238.69  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 238.39/238.69  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 238.39/238.69  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 238.39/238.69  Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 238.39/238.69  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 238.39/238.69  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 238.39/238.69  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 238.39/238.69  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 238.39/238.69  Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 238.39/238.69  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 238.39/238.69  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 238.39/238.69  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 238.39/238.69  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 238.39/238.69  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b0)
% 238.39/238.69  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 238.39/238.69  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 238.39/238.69  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 238.39/238.69  Found eq_ref00:=(eq_ref0 (x1 a)):(((eq Prop) (x1 a)) (x1 a))
% 238.39/238.69  Found (eq_ref0 (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found eq_ref00:=(eq_ref0 (x1 a)):(((eq Prop) (x1 a)) (x1 a))
% 238.39/238.69  Found (eq_ref0 (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found eq_ref00:=(eq_ref0 (x1 a)):(((eq Prop) (x1 a)) (x1 a))
% 238.39/238.69  Found (eq_ref0 (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found eq_ref00:=(eq_ref0 (x1 a)):(((eq Prop) (x1 a)) (x1 a))
% 238.39/238.69  Found (eq_ref0 (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found eq_ref00:=(eq_ref0 (x1 a)):(((eq Prop) (x1 a)) (x1 a))
% 238.39/238.69  Found (eq_ref0 (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found eq_ref00:=(eq_ref0 (x1 a)):(((eq Prop) (x1 a)) (x1 a))
% 238.39/238.69  Found (eq_ref0 (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found ((eq_ref Prop) (x1 a)) as proof of (((eq Prop) (x1 a)) b)
% 238.39/238.69  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 238.39/238.69  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 238.39/238.69  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 238.39/238.69  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 238.39/238.69  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b0)
% 238.39/238.69  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 238.39/238.69  Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 238.39/238.69  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 238.39/238.69  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 238.39/238.69  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 238.39/238.69  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 238.39/238.69  Found (eq_ref0 b0) as proof of (((eq fofType) b0) (absval Xv))
% 238.39/238.69  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 238.39/238.69  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 238.39/238.69  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 238.39/238.69  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 238.39/238.69  Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 240.03/240.28  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 240.03/240.28  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 240.03/240.28  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 240.03/240.28  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 240.03/240.28  Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 240.03/240.28  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 240.03/240.28  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 240.03/240.28  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 240.03/240.28  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 240.03/240.28  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b0)
% 240.03/240.28  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 240.03/240.28  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 240.03/240.28  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 240.03/240.28  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 240.03/240.28  Found (eq_ref0 b0) as proof of (((eq fofType) b0) (absval Xv))
% 240.03/240.28  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 240.03/240.28  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 240.03/240.28  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 240.03/240.28  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 240.03/240.28  Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 240.03/240.28  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 240.03/240.28  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 240.03/240.28  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 240.03/240.28  Found eq_ref00:=(eq_ref0 b):(((eq ((fofType->Prop)->Prop)) b) b)
% 240.03/240.28  Found (eq_ref0 b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 240.03/240.28  Found ((eq_ref ((fofType->Prop)->Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 240.03/240.28  Found ((eq_ref ((fofType->Prop)->Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 240.03/240.28  Found ((eq_ref ((fofType->Prop)->Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 240.03/240.28  Found eta_expansion000:=(eta_expansion00 a):(((eq ((fofType->Prop)->Prop)) a) (fun (x:(fofType->Prop))=> (a x)))
% 240.03/240.28  Found (eta_expansion00 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 240.03/240.28  Found ((eta_expansion0 Prop) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 240.03/240.28  Found (((eta_expansion (fofType->Prop)) Prop) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 240.03/240.28  Found (((eta_expansion (fofType->Prop)) Prop) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 240.03/240.28  Found (((eta_expansion (fofType->Prop)) Prop) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 240.03/240.28  Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq ((fofType->Prop)->Prop)) a) (fun (x:(fofType->Prop))=> (a x)))
% 240.03/240.28  Found (eta_expansion_dep00 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 240.03/240.28  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 240.03/240.28  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 240.03/240.28  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 240.03/240.28  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 240.03/240.28  Found eq_ref00:=(eq_ref0 b):(((eq ((fofType->Prop)->Prop)) b) b)
% 240.03/240.28  Found (eq_ref0 b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 240.03/240.28  Found ((eq_ref ((fofType->Prop)->Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 240.03/240.28  Found ((eq_ref ((fofType->Prop)->Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 240.03/240.28  Found ((eq_ref ((fofType->Prop)->Prop)) b) as proof of (((eq ((fofType->Prop)->Prop)) b) f)
% 240.03/240.28  Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq ((fofType->Prop)->Prop)) a) (fun (x:(fofType->Prop))=> (a x)))
% 240.03/240.28  Found (eta_expansion_dep00 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 240.03/240.28  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 240.03/240.28  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 240.03/240.28  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 240.03/240.28  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 244.26/244.58  Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq ((fofType->Prop)->Prop)) a) (fun (x:(fofType->Prop))=> (a x)))
% 244.26/244.58  Found (eta_expansion_dep00 a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 244.26/244.58  Found ((eta_expansion_dep0 (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 244.26/244.58  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 244.26/244.58  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 244.26/244.58  Found (((eta_expansion_dep (fofType->Prop)) (fun (x2:(fofType->Prop))=> Prop)) a) as proof of (((eq ((fofType->Prop)->Prop)) a) b)
% 244.26/244.58  Found x2:(P0 (f x1))
% 244.26/244.58  Instantiate: a:=(f x1):Prop
% 244.26/244.58  Found x2 as proof of (P1 a)
% 244.26/244.58  Found x2:(P c_2)
% 244.26/244.58  Instantiate: b:=c_2:fofType
% 244.26/244.58  Found x2 as proof of (P0 b)
% 244.26/244.58  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 244.26/244.58  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 244.26/244.58  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 244.26/244.58  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 244.26/244.58  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 244.26/244.58  Found x2:(P0 (f x1))
% 244.26/244.58  Instantiate: a:=(f x1):Prop
% 244.26/244.58  Found x2 as proof of (P1 a)
% 244.26/244.58  Found c_2:fofType
% 244.26/244.58  Found c_2 as proof of fofType
% 244.26/244.58  Found (x2 c_2) as proof of False
% 244.26/244.58  Found (x2 c_2) as proof of False
% 244.26/244.58  Found (fun (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of False
% 244.26/244.58  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of ((x1 (absval Xy))->False)
% 244.26/244.58  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (forall (Xy:fofType), ((x1 (absval Xy))->False))
% 244.26/244.58  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 244.26/244.58  Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 244.26/244.58  Found (eq_ref0 b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 244.26/244.58  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 244.26/244.58  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 244.26/244.58  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 244.26/244.58  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 244.26/244.58  Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 244.26/244.58  Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 244.26/244.58  Found (eq_ref0 b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 244.26/244.58  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 244.26/244.58  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 244.26/244.58  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 244.26/244.58  Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 244.26/244.58  Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 244.26/244.58  Found c_2:fofType
% 244.26/244.58  Found c_2 as proof of fofType
% 244.26/244.58  Found (x2 c_2) as proof of False
% 244.26/244.58  Found (x2 c_2) as proof of False
% 244.26/244.58  Found (fun (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of False
% 244.26/244.58  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (not (x1 (absval Xy)))
% 254.28/254.59  Found (fun (Xy:fofType) (x2:(x1 (absval Xy)))=> (x2 c_2)) as proof of (forall (Xy:fofType), (not (x1 (absval Xy))))
% 254.28/254.59  Found x2:(P c_2)
% 254.28/254.59  Instantiate: b:=c_2:fofType
% 254.28/254.59  Found x2 as proof of (P0 b)
% 254.28/254.59  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 254.28/254.59  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 254.28/254.59  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 254.28/254.59  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 254.28/254.59  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 254.28/254.59  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 254.28/254.59  Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 254.28/254.59  Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 254.28/254.59  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 254.28/254.59  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 254.28/254.59  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 254.28/254.59  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 254.28/254.59  Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 254.28/254.59  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 254.28/254.59  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 254.28/254.59  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 254.28/254.59  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 254.28/254.59  Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 254.28/254.59  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 254.28/254.59  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 254.28/254.59  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 254.28/254.59  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 254.28/254.59  Found (eq_ref0 b0) as proof of (((eq fofType) b0) (absval Xv))
% 254.28/254.59  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 254.28/254.59  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 254.28/254.59  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 254.28/254.59  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 254.28/254.59  Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 254.28/254.59  Found (eq_ref0 b0) as proof of (((eq fofType) b0) (absval Xv))
% 254.28/254.59  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 254.28/254.59  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 254.28/254.59  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 254.28/254.59  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 254.28/254.59  Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 254.28/254.59  Found (eq_ref0 b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) b0)
% 254.28/254.59  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 254.28/254.59  Found (eq_ref00 P) as proof of (P0 c_2)
% 254.28/254.59  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 254.28/254.59  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 254.28/254.59  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 254.28/254.59  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 254.28/254.59  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 254.28/254.59  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 254.28/254.59  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 254.28/254.59  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 254.28/254.59  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 254.28/254.59  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 254.28/254.59  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 254.28/254.59  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 254.28/254.59  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 262.37/262.63  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 262.37/262.63  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 262.37/262.63  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 262.37/262.63  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 262.37/262.63  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 262.37/262.63  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 262.37/262.63  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 262.37/262.63  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 262.37/262.63  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 262.37/262.63  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 262.37/262.63  Found eta_expansion000:=(eta_expansion00 (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))):(((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) (fun (x:(fofType->Prop))=> ((and (forall (Xy:fofType), ((x (absval Xy))->False))) (x c_2))))
% 262.37/262.63  Found (eta_expansion00 (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) b0)
% 262.37/262.63  Found ((eta_expansion0 Prop) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) b0)
% 262.37/262.63  Found (((eta_expansion (fofType->Prop)) Prop) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) b0)
% 262.37/262.63  Found (((eta_expansion (fofType->Prop)) Prop) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) b0)
% 262.37/262.63  Found (((eta_expansion (fofType->Prop)) Prop) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), ((A (absval Xy))->False))) (A c_2)))) b0)
% 262.37/262.63  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 262.37/262.63  Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 262.37/262.63  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 262.37/262.63  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 262.37/262.63  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 262.37/262.63  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 262.37/262.63  Found (eq_ref0 b) as proof of (P b)
% 262.37/262.63  Found ((eq_ref fofType) b) as proof of (P b)
% 262.37/262.63  Found ((eq_ref fofType) b) as proof of (P b)
% 262.37/262.63  Found ((eq_ref fofType) b) as proof of (P b)
% 262.37/262.63  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 262.37/262.63  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 262.37/262.63  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 262.37/262.63  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 262.37/262.63  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 262.37/262.63  Found x2:(P c_2)
% 262.37/262.63  Instantiate: a:=c_2:fofType
% 262.37/262.63  Found x2 as proof of (P0 a)
% 262.37/262.63  Found x2:(P (absval Xv))
% 262.37/262.63  Instantiate: b:=(absval Xv):fofType
% 262.37/262.63  Found x2 as proof of (P0 b)
% 262.37/262.63  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 262.37/262.63  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 262.37/262.63  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 262.37/262.63  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 262.37/262.63  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 262.37/262.63  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 262.37/262.63  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 262.37/262.63  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 262.37/262.63  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 262.37/262.63  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 262.37/262.63  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 264.55/264.87  Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 264.55/264.87  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 264.55/264.87  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 264.55/264.87  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 264.55/264.87  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 264.55/264.87  Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 264.55/264.87  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 264.55/264.87  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 264.55/264.87  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 264.55/264.87  Found eq_ref00:=(eq_ref0 (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))):(((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2))))
% 264.55/264.87  Found (eq_ref0 (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) b0)
% 264.55/264.87  Found ((eq_ref ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) b0)
% 264.55/264.87  Found ((eq_ref ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) b0)
% 264.55/264.87  Found ((eq_ref ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) as proof of (((eq ((fofType->Prop)->Prop)) (fun (A:(fofType->Prop))=> ((and (forall (Xy:fofType), (not (A (absval Xy))))) (A c_2)))) b0)
% 264.55/264.87  Found eq_ref000:=(eq_ref00 P):((P c_2)->(P c_2))
% 264.55/264.87  Found (eq_ref00 P) as proof of (P0 c_2)
% 264.55/264.87  Found ((eq_ref0 c_2) P) as proof of (P0 c_2)
% 264.55/264.87  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 264.55/264.87  Found (((eq_ref fofType) c_2) P) as proof of (P0 c_2)
% 264.55/264.87  Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 264.55/264.87  Found (eq_ref0 a0) as proof of (((eq fofType) a0) a)
% 264.55/264.87  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 264.55/264.87  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 264.55/264.87  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 264.55/264.87  Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 264.55/264.87  Found (eq_ref0 a0) as proof of (((eq fofType) a0) a)
% 264.55/264.87  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 264.55/264.87  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 264.55/264.87  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 264.55/264.87  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 264.55/264.87  Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 264.55/264.87  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 264.55/264.87  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 264.55/264.87  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 264.55/264.87  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 264.55/264.87  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b0)
% 264.55/264.87  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 264.55/264.87  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 264.55/264.87  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 264.55/264.87  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 264.55/264.87  Found (eq_ref0 b0) as proof of (((eq fofType) b0) b)
% 264.55/264.87  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 264.55/264.87  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 264.55/264.87  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) b)
% 264.55/264.87  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 264.55/264.87  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b0)
% 264.55/264.87  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 264.55/264.87  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 264.55/264.87  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 264.55/264.87  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 264.55/264.87  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 264.55/264.87  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 264.55/264.87  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 271.45/271.75  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 271.45/271.75  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 271.45/271.75  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 271.45/271.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 271.45/271.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 271.45/271.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 271.45/271.75  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 271.45/271.75  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 271.45/271.75  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 271.45/271.75  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 271.45/271.75  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 271.45/271.75  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 271.45/271.75  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 271.45/271.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 271.45/271.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 271.45/271.75  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 271.45/271.75  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 271.45/271.75  Found (eq_ref0 b) as proof of (P b)
% 271.45/271.75  Found ((eq_ref fofType) b) as proof of (P b)
% 271.45/271.75  Found ((eq_ref fofType) b) as proof of (P b)
% 271.45/271.75  Found ((eq_ref fofType) b) as proof of (P b)
% 271.45/271.75  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 271.45/271.75  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 271.45/271.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 271.45/271.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 271.45/271.75  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 271.45/271.75  Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 271.45/271.75  Found (eq_ref0 a0) as proof of (((eq fofType) a0) a)
% 271.45/271.75  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 271.45/271.75  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 271.45/271.75  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 271.45/271.75  Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 271.45/271.75  Found (eq_ref0 a0) as proof of (((eq fofType) a0) a)
% 271.45/271.75  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 271.45/271.75  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 271.45/271.75  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 271.45/271.75  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 271.45/271.75  Found (eq_ref0 b) as proof of (P2 b)
% 271.45/271.75  Found ((eq_ref Prop) b) as proof of (P2 b)
% 271.45/271.75  Found ((eq_ref Prop) b) as proof of (P2 b)
% 271.45/271.75  Found ((eq_ref Prop) b) as proof of (P2 b)
% 271.45/271.75  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 271.45/271.75  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 271.45/271.75  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 271.45/271.75  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 271.45/271.75  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 271.45/271.75  Found x2:(P c_2)
% 271.45/271.75  Instantiate: a:=c_2:fofType
% 271.45/271.75  Found x2 as proof of (P0 a)
% 271.45/271.75  Found eq_ref00:=(eq_ref0 (x1 c_2)):(((eq Prop) (x1 c_2)) (x1 c_2))
% 271.45/271.75  Found (eq_ref0 (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b0)
% 271.45/271.75  Found ((eq_ref Prop) (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b0)
% 271.45/271.75  Found ((eq_ref Prop) (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b0)
% 271.45/271.75  Found ((eq_ref Prop) (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b0)
% 271.45/271.75  Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 271.45/271.75  Found (eq_ref0 a0) as proof of (((eq fofType) a0) a)
% 271.45/271.75  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 271.45/271.75  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 271.45/271.75  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 278.45/278.77  Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 278.45/278.77  Found (eq_ref0 a0) as proof of (((eq fofType) a0) a)
% 278.45/278.77  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 278.45/278.77  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 278.45/278.77  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 278.45/278.77  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 278.45/278.77  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b0)
% 278.45/278.77  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 278.45/278.77  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 278.45/278.77  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 278.45/278.77  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 278.45/278.77  Found (eq_ref0 b0) as proof of (((eq fofType) b0) (absval Xv))
% 278.45/278.77  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 278.45/278.77  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 278.45/278.77  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 278.45/278.77  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 278.45/278.77  Found (eq_ref0 b) as proof of (((eq fofType) b) (absval Xv))
% 278.45/278.77  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 278.45/278.77  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 278.45/278.77  Found ((eq_ref fofType) b) as proof of (((eq fofType) b) (absval Xv))
% 278.45/278.77  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 278.45/278.77  Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 278.45/278.77  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 278.45/278.77  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 278.45/278.77  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 278.45/278.77  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 278.45/278.77  Found (eq_ref0 a) as proof of (((eq fofType) a) b)
% 278.45/278.77  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 278.45/278.77  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 278.45/278.77  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) b)
% 278.45/278.77  Found x2:(P (absval Xv))
% 278.45/278.77  Instantiate: b:=(absval Xv):fofType
% 278.45/278.77  Found x2 as proof of (P0 b)
% 278.45/278.77  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 278.45/278.77  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 278.45/278.77  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 278.45/278.77  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 278.45/278.77  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 278.45/278.77  Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 278.45/278.77  Found (eq_ref0 a0) as proof of (((eq fofType) a0) a)
% 278.45/278.77  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 278.45/278.77  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 278.45/278.77  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 278.45/278.77  Found eq_ref00:=(eq_ref0 a0):(((eq fofType) a0) a0)
% 278.45/278.77  Found (eq_ref0 a0) as proof of (((eq fofType) a0) a)
% 278.45/278.77  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 278.45/278.77  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 278.45/278.77  Found ((eq_ref fofType) a0) as proof of (((eq fofType) a0) a)
% 278.45/278.77  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 278.45/278.77  Found (eq_ref0 b) as proof of (P1 b)
% 278.45/278.77  Found ((eq_ref fofType) b) as proof of (P1 b)
% 278.45/278.77  Found ((eq_ref fofType) b) as proof of (P1 b)
% 278.45/278.77  Found ((eq_ref fofType) b) as proof of (P1 b)
% 278.45/278.77  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 278.45/278.77  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 278.45/278.77  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 278.45/278.77  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 278.45/278.77  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 278.45/278.77  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 278.45/278.77  Found (eq_ref0 b) as proof of (P1 b)
% 278.45/278.77  Found ((eq_ref fofType) b) as proof of (P1 b)
% 278.45/278.77  Found ((eq_ref fofType) b) as proof of (P1 b)
% 278.45/278.77  Found ((eq_ref fofType) b) as proof of (P1 b)
% 278.45/278.77  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 278.45/278.77  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 278.45/278.77  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 278.45/278.77  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 278.45/278.77  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 278.45/278.77  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 278.45/278.77  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 291.55/291.85  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 291.55/291.85  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 291.55/291.85  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 291.55/291.85  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 291.55/291.85  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 291.55/291.85  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 291.55/291.85  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 291.55/291.85  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 291.55/291.85  Found eq_ref00:=(eq_ref0 (x1 c_2)):(((eq Prop) (x1 c_2)) (x1 c_2))
% 291.55/291.85  Found (eq_ref0 (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b0)
% 291.55/291.85  Found ((eq_ref Prop) (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b0)
% 291.55/291.85  Found ((eq_ref Prop) (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b0)
% 291.55/291.85  Found ((eq_ref Prop) (x1 c_2)) as proof of (((eq Prop) (x1 c_2)) b0)
% 291.55/291.85  Found x2:(P1 (absval Xv))
% 291.55/291.85  Instantiate: b:=(absval Xv):fofType
% 291.55/291.85  Found x2 as proof of (P2 b)
% 291.55/291.85  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 291.55/291.85  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 291.55/291.85  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 291.55/291.85  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 291.55/291.85  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 291.55/291.85  Found x2:(P1 (absval Xv))
% 291.55/291.85  Instantiate: b:=(absval Xv):fofType
% 291.55/291.85  Found x2 as proof of (P2 b)
% 291.55/291.85  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 291.55/291.85  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b)
% 291.55/291.85  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 291.55/291.85  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 291.55/291.85  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b)
% 291.55/291.85  Found eq_ref00:=(eq_ref0 c_2):(((eq fofType) c_2) c_2)
% 291.55/291.85  Found (eq_ref0 c_2) as proof of (((eq fofType) c_2) b0)
% 291.55/291.85  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 291.55/291.85  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 291.55/291.85  Found ((eq_ref fofType) c_2) as proof of (((eq fofType) c_2) b0)
% 291.55/291.85  Found eq_ref00:=(eq_ref0 b0):(((eq fofType) b0) b0)
% 291.55/291.85  Found (eq_ref0 b0) as proof of (((eq fofType) b0) (absval Xv))
% 291.55/291.85  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 291.55/291.85  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 291.55/291.85  Found ((eq_ref fofType) b0) as proof of (((eq fofType) b0) (absval Xv))
% 291.55/291.85  Found x2:(P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 291.55/291.85  Instantiate: b:=((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)):Prop
% 291.55/291.85  Found x2 as proof of (P3 b)
% 291.55/291.85  Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 291.55/291.85  Found (eq_ref00 P) as proof of (P0 b)
% 291.55/291.85  Found ((eq_ref0 b) P) as proof of (P0 b)
% 291.55/291.85  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 291.55/291.85  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 291.55/291.85  Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 291.55/291.85  Found (eq_ref00 P) as proof of (P0 b)
% 291.55/291.85  Found ((eq_ref0 b) P) as proof of (P0 b)
% 291.55/291.85  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 291.55/291.85  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 291.55/291.85  Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 291.55/291.85  Found (eq_ref00 P) as proof of (P0 b)
% 291.55/291.85  Found ((eq_ref0 b) P) as proof of (P0 b)
% 291.55/291.85  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 291.55/291.85  Found (((eq_ref fofType) b) P) as proof of (P0 b)
% 291.55/291.85  Found eq_ref000:=(eq_ref00 P1):((P1 (absval Xv))->(P1 (absval Xv)))
% 291.55/291.85  Found (eq_ref00 P1) as proof of (P2 (absval Xv))
% 291.55/291.85  Found ((eq_ref0 (absval Xv)) P1) as proof of (P2 (absval Xv))
% 291.55/291.85  Found (((eq_ref fofType) (absval Xv)) P1) as proof of (P2 (absval Xv))
% 291.55/291.85  Found (((eq_ref fofType) (absval Xv)) P1) as proof of (P2 (absval Xv))
% 291.55/291.85  Found eq_ref00:=(eq_ref0 (f x1)):(((eq Prop) (f x1)) (f x1))
% 291.55/291.85  Found (eq_ref0 (f x1)) as proof of (((eq Prop) (f x1)) b)
% 291.55/291.85  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 291.55/291.85  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 291.55/291.85  Found ((eq_ref Prop) (f x1)) as proof of (((eq Prop) (f x1)) b)
% 291.55/291.85  Found ((eq_sym0100 ((eq_ref Prop) (f x1))) x2) as proof of (P2 (f x1))
% 291.55/291.85  Found ((eq_sym0100 ((eq_ref Prop) (f x1))) x2) as proof of (P2 (f x1))
% 291.55/291.85  Found (((fun (x3:(((eq Prop) (f x1)) b))=> ((eq_sym010 x3) P2)) ((eq_ref Prop) (f x1))) x2) as proof of (P2 (f x1))
% 291.55/291.85  Found (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((eq_sym01 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P2)) ((eq_ref Prop) (f x1))) x2) as proof of (P2 (f x1))
% 291.55/291.87  Found (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P2)) ((eq_ref Prop) (f x1))) x2) as proof of (P2 (f x1))
% 291.55/291.87  Found (fun (x2:(P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P2)) ((eq_ref Prop) (f x1))) x2)) as proof of (P2 (f x1))
% 291.55/291.87  Found (fun (P2:(Prop->Prop)) (x2:(P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P2)) ((eq_ref Prop) (f x1))) x2)) as proof of ((P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P2 (f x1)))
% 291.55/291.87  Found (fun (P2:(Prop->Prop)) (x2:(P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P2)) ((eq_ref Prop) (f x1))) x2)) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1))
% 291.55/291.87  Found ((eq_sym0000 (fun (P2:(Prop->Prop)) (x2:(P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P2)) ((eq_ref Prop) (f x1))) x2))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 291.55/291.87  Found ((eq_sym0000 (fun (P2:(Prop->Prop)) (x2:(P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P2)) ((eq_ref Prop) (f x1))) x2))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 291.55/291.87  Found (((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> ((eq_sym000 x2) (fun (x4:Prop)=> ((P0 (f x1))->(P0 x4))))) (fun (P2:(Prop->Prop)) (x2:(P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P2)) ((eq_ref Prop) (f x1))) x2))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 291.55/291.88  Found (((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((eq_sym00 (f x1)) x2) (fun (x4:Prop)=> ((P0 (f x1))->(P0 x4))))) (fun (P2:(Prop->Prop)) (x2:(P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P2)) ((eq_ref Prop) (f x1))) x2))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 291.55/291.88  Found (((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> ((((eq_sym0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) (fun (x4:Prop)=> ((P0 (f x1))->(P0 x4))))) (fun (P2:(Prop->Prop)) (x2:(P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> ((((eq_sym0 (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P2)) ((eq_ref Prop) (f x1))) x2))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 294.35/294.65  Found (((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) (fun (x4:Prop)=> ((P0 (f x1))->(P0 x4))))) (fun (P2:(Prop->Prop)) (x2:(P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P2)) ((eq_ref Prop) (f x1))) x2))) (((eq_ref Prop) (f x1)) P0)) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 294.35/294.65  Found (fun (P0:(Prop->Prop))=> (((fun (x2:(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)))=> (((((eq_sym Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) (f x1)) x2) (fun (x4:Prop)=> ((P0 (f x1))->(P0 x4))))) (fun (P2:(Prop->Prop)) (x2:(P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((fun (x3:(((eq Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))=> (((((eq_sym Prop) (f x1)) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) x3) P2)) ((eq_ref Prop) (f x1))) x2))) (((eq_ref Prop) (f x1)) P0))) as proof of ((P0 (f x1))->(P0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 294.35/294.65  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 294.35/294.65  Found (eq_ref0 b) as proof of (P1 b)
% 294.35/294.65  Found ((eq_ref fofType) b) as proof of (P1 b)
% 294.35/294.65  Found ((eq_ref fofType) b) as proof of (P1 b)
% 294.35/294.65  Found ((eq_ref fofType) b) as proof of (P1 b)
% 294.35/294.65  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 294.35/294.65  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 294.35/294.65  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 294.35/294.65  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 294.35/294.65  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 294.35/294.65  Found eq_ref00:=(eq_ref0 b):(((eq fofType) b) b)
% 294.35/294.65  Found (eq_ref0 b) as proof of (P1 b)
% 294.35/294.65  Found ((eq_ref fofType) b) as proof of (P1 b)
% 294.35/294.65  Found ((eq_ref fofType) b) as proof of (P1 b)
% 294.35/294.65  Found ((eq_ref fofType) b) as proof of (P1 b)
% 294.35/294.65  Found eq_ref00:=(eq_ref0 (absval Xv)):(((eq fofType) (absval Xv)) (absval Xv))
% 294.35/294.65  Found (eq_ref0 (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 294.35/294.65  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 294.35/294.65  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 294.35/294.65  Found ((eq_ref fofType) (absval Xv)) as proof of (((eq fofType) (absval Xv)) b)
% 294.35/294.65  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 294.35/294.65  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 294.35/294.65  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 294.35/294.65  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 294.35/294.65  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 294.35/294.65  Found eq_ref00:=(eq_ref0 a):(((eq fofType) a) a)
% 294.35/294.65  Found (eq_ref0 a) as proof of (((eq fofType) a) Xv)
% 294.35/294.65  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 294.35/294.65  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 294.35/294.65  Found ((eq_ref fofType) a) as proof of (((eq fofType) a) Xv)
% 294.35/294.65  Found eq_ref000:=(eq_ref00 P2):((P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 294.35/294.65  Found (eq_ref00 P2) as proof of (P3 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 294.35/294.65  Found ((eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) P2) as proof of (P3 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 296.14/296.49  Found (((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) P2) as proof of (P3 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 296.14/296.49  Found (((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) P2) as proof of (P3 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 296.14/296.49  Found eq_ref000:=(eq_ref00 P2):((P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))->(P2 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))))
% 296.14/296.49  Found (eq_ref00 P2) as proof of (P3 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 296.14/296.49  Found ((eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) P2) as proof of (P3 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 296.14/296.49  Found (((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) P2) as proof of (P3 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 296.14/296.49  Found (((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) P2) as proof of (P3 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 296.14/296.49  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 296.14/296.49  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 296.14/296.49  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 296.14/296.49  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 296.14/296.49  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 296.14/296.49  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 296.14/296.49  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 296.14/296.49  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 296.14/296.49  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 296.14/296.49  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 296.14/296.49  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 296.14/296.49  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 296.14/296.49  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 296.14/296.49  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 296.14/296.49  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 296.14/296.49  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2)))
% 296.14/296.49  Found (eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 296.14/296.49  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 296.14/296.49  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 296.14/296.49  Found ((eq_ref Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) as proof of (((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) b)
% 296.14/296.49  Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 296.14/296.49  Found (eq_ref0 b) as proof of (((eq Prop) b) (f x1))
% 296.14/296.49  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 296.14/296.49  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 296.14/296.49  Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (f x1))
% 296.14/296.49  Found eq_ref00:=(eq_ref0 ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))):(((eq Prop) ((and (forall (Xy:fofType), ((x1 (absval Xy))->False))) (x1 c_2))) ((and (forall (
%------------------------------------------------------------------------------