TSTP Solution File: NUM693^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM693^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n183.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 13:11:28 EST 2018
% Result : Timeout 292.04s
% 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 : NUM693^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.23 % Computer : n183.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 12:57:49 CST 2018
% 0.03/0.24 % CPUTime :
% 0.03/0.25 Python 2.7.13
% 7.64/7.82 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 7.64/7.82 FOF formula (<kernel.Constant object at 0x2b17b4f503b0>, <kernel.Type object at 0x2b17b4f50d88>) of role type named nat_type
% 7.64/7.82 Using role type
% 7.64/7.82 Declaring nat:Type
% 7.64/7.82 FOF formula (<kernel.Constant object at 0x2b17b56622d8>, <kernel.Constant object at 0x2b17b4f50b00>) of role type named x
% 7.64/7.82 Using role type
% 7.64/7.82 Declaring x:nat
% 7.64/7.82 FOF formula (<kernel.Constant object at 0x2b17b56622d8>, <kernel.DependentProduct object at 0x2b17b4f50d40>) of role type named more
% 7.64/7.82 Using role type
% 7.64/7.82 Declaring more:(nat->(nat->Prop))
% 7.64/7.82 FOF formula (<kernel.Constant object at 0x2b17b4f506c8>, <kernel.Constant object at 0x2b17b4f50d40>) of role type named n_1
% 7.64/7.82 Using role type
% 7.64/7.82 Declaring n_1:nat
% 7.64/7.82 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et
% 7.64/7.82 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa))
% 7.64/7.82 FOF formula (<kernel.Constant object at 0x2b17b4f50cf8>, <kernel.DependentProduct object at 0x2b17b4f503b0>) of role type named suc
% 7.64/7.82 Using role type
% 7.64/7.82 Declaring suc:(nat->nat)
% 7.64/7.82 FOF formula (forall (Xx:nat), ((not (((eq nat) Xx) n_1))->((forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))->False))) of role axiom named satz3
% 7.64/7.82 A new axiom: (forall (Xx:nat), ((not (((eq nat) Xx) n_1))->((forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))->False)))
% 7.64/7.82 FOF formula (<kernel.Constant object at 0x2b17b4f50b90>, <kernel.DependentProduct object at 0x2b17b4f50a28>) of role type named pl
% 7.64/7.82 Using role type
% 7.64/7.82 Declaring pl:(nat->(nat->nat))
% 7.64/7.82 FOF formula (forall (Xx:nat) (Xy:nat), ((more ((pl Xx) Xy)) Xx)) of role axiom named satz18
% 7.64/7.82 A new axiom: (forall (Xx:nat) (Xy:nat), ((more ((pl Xx) Xy)) Xx))
% 7.64/7.82 FOF formula (forall (Xx:nat), (((eq nat) (suc Xx)) ((pl n_1) Xx))) of role axiom named satz4g
% 7.64/7.82 A new axiom: (forall (Xx:nat), (((eq nat) (suc Xx)) ((pl n_1) Xx)))
% 7.64/7.82 FOF formula ((((more x) n_1)->False)->(((eq nat) x) n_1)) of role conjecture named satz24
% 7.64/7.82 Conjecture to prove = ((((more x) n_1)->False)->(((eq nat) x) n_1)):Prop
% 7.64/7.82 We need to prove ['((((more x) n_1)->False)->(((eq nat) x) n_1))']
% 7.64/7.82 Parameter nat:Type.
% 7.64/7.82 Parameter x:nat.
% 7.64/7.82 Parameter more:(nat->(nat->Prop)).
% 7.64/7.82 Parameter n_1:nat.
% 7.64/7.82 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)).
% 7.64/7.82 Parameter suc:(nat->nat).
% 7.64/7.82 Axiom satz3:(forall (Xx:nat), ((not (((eq nat) Xx) n_1))->((forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))->False))).
% 7.64/7.82 Parameter pl:(nat->(nat->nat)).
% 7.64/7.82 Axiom satz18:(forall (Xx:nat) (Xy:nat), ((more ((pl Xx) Xy)) Xx)).
% 7.64/7.82 Axiom satz4g:(forall (Xx:nat), (((eq nat) (suc Xx)) ((pl n_1) Xx))).
% 7.64/7.82 Trying to prove ((((more x) n_1)->False)->(((eq nat) x) n_1))
% 7.64/7.82 Found eq_ref000:=(eq_ref00 P):((P x)->(P x))
% 7.64/7.82 Found (eq_ref00 P) as proof of (P0 x)
% 7.64/7.82 Found ((eq_ref0 x) P) as proof of (P0 x)
% 7.64/7.82 Found (((eq_ref nat) x) P) as proof of (P0 x)
% 7.64/7.82 Found (((eq_ref nat) x) P) as proof of (P0 x)
% 7.64/7.82 Found eq_ref000:=(eq_ref00 P):((P x)->(P x))
% 7.64/7.82 Found (eq_ref00 P) as proof of (P0 x)
% 7.64/7.82 Found ((eq_ref0 x) P) as proof of (P0 x)
% 7.64/7.82 Found (((eq_ref nat) x) P) as proof of (P0 x)
% 7.64/7.82 Found (((eq_ref nat) x) P) as proof of (P0 x)
% 7.64/7.82 Found x00:((((eq nat) x) n_1)->False)
% 7.64/7.82 Found x00 as proof of (not (((eq nat) x) n_1))
% 7.64/7.82 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 7.64/7.82 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 7.64/7.82 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 7.64/7.82 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 7.64/7.82 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 7.64/7.82 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 7.64/7.82 Found (eq_ref0 b) as proof of (((eq nat) b) n_1)
% 7.64/7.82 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 7.64/7.82 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 7.64/7.82 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 7.64/7.82 Found x00:((((eq nat) x) n_1)->False)
% 7.64/7.82 Found x00 as proof of (not (((eq nat) x) n_1))
% 7.64/7.82 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 7.64/7.82 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 7.64/7.82 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 7.64/7.82 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 7.64/7.82 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 7.64/7.82 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 7.64/7.82 Found (eq_ref0 b) as proof of (((eq nat) b) n_1)
% 7.64/7.82 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 18.92/19.13 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 18.92/19.13 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 18.92/19.13 Found x00:((((eq nat) x) n_1)->False)
% 18.92/19.13 Instantiate: Xx:=x:nat
% 18.92/19.13 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 18.92/19.13 Found x00:((((eq nat) x) n_1)->False)
% 18.92/19.13 Instantiate: Xx:=x:nat
% 18.92/19.13 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 18.92/19.13 Found x00:False
% 18.92/19.13 Found (fun (x01:((((eq nat) x) n_1)->False))=> x00) as proof of False
% 18.92/19.13 Found (fun (x01:((((eq nat) x) n_1)->False))=> x00) as proof of (((((eq nat) x) n_1)->False)->False)
% 18.92/19.13 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 18.92/19.13 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 18.92/19.13 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 18.92/19.13 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 18.92/19.13 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 18.92/19.13 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 18.92/19.13 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 18.92/19.13 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 18.92/19.13 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 18.92/19.13 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 18.92/19.13 Found x00:((((eq nat) x) n_1)->False)
% 18.92/19.13 Instantiate: Xx:=x:nat
% 18.92/19.13 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 18.92/19.13 Found x00:False
% 18.92/19.13 Found (fun (x01:(((P x)->(P n_1))->False))=> x00) as proof of False
% 18.92/19.13 Found (fun (x01:(((P x)->(P n_1))->False))=> x00) as proof of ((((P x)->(P n_1))->False)->False)
% 18.92/19.13 Found x01:False
% 18.92/19.13 Found (fun (x1:((P n_1)->False))=> x01) as proof of False
% 18.92/19.13 Found (fun (x1:((P n_1)->False))=> x01) as proof of (((P n_1)->False)->False)
% 18.92/19.13 Found x00:((((eq nat) x) n_1)->False)
% 18.92/19.13 Instantiate: Xx:=x:nat
% 18.92/19.13 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 18.92/19.13 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 18.92/19.13 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 18.92/19.13 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 18.92/19.13 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 18.92/19.13 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 18.92/19.13 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 18.92/19.13 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 18.92/19.13 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 18.92/19.13 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 18.92/19.13 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 18.92/19.13 Found x00:False
% 18.92/19.13 Found (fun (x01:((((eq nat) x) n_1)->False))=> x00) as proof of False
% 18.92/19.13 Found (fun (x01:((((eq nat) x) n_1)->False))=> x00) as proof of (((((eq nat) x) n_1)->False)->False)
% 18.92/19.13 Found (et0 (fun (x01:((((eq nat) x) n_1)->False))=> x00)) as proof of (((eq nat) x) n_1)
% 18.92/19.13 Found ((et (((eq nat) x) n_1)) (fun (x01:((((eq nat) x) n_1)->False))=> x00)) as proof of (((eq nat) x) n_1)
% 18.92/19.13 Found ((et (((eq nat) x) n_1)) (fun (x01:((((eq nat) x) n_1)->False))=> x00)) as proof of (((eq nat) x) n_1)
% 18.92/19.13 Found x00:False
% 18.92/19.13 Found (fun (x01:(((P x)->(P n_1))->False))=> x00) as proof of False
% 18.92/19.13 Found (fun (x01:(((P x)->(P n_1))->False))=> x00) as proof of ((((P x)->(P n_1))->False)->False)
% 18.92/19.13 Found (et0 (fun (x01:(((P x)->(P n_1))->False))=> x00)) as proof of ((P x)->(P n_1))
% 18.92/19.13 Found ((et ((P x)->(P n_1))) (fun (x01:(((P x)->(P n_1))->False))=> x00)) as proof of ((P x)->(P n_1))
% 18.92/19.13 Found ((et ((P x)->(P n_1))) (fun (x01:(((P x)->(P n_1))->False))=> x00)) as proof of ((P x)->(P n_1))
% 18.92/19.13 Found x01:False
% 18.92/19.13 Found (fun (x1:((P n_1)->False))=> x01) as proof of False
% 18.92/19.13 Found (fun (x1:((P n_1)->False))=> x01) as proof of (((P n_1)->False)->False)
% 18.92/19.13 Found (et0 (fun (x1:((P n_1)->False))=> x01)) as proof of (P n_1)
% 18.92/19.13 Found ((et (P n_1)) (fun (x1:((P n_1)->False))=> x01)) as proof of (P n_1)
% 18.92/19.13 Found ((et (P n_1)) (fun (x1:((P n_1)->False))=> x01)) as proof of (P n_1)
% 18.92/19.13 Found x00:False
% 18.92/19.13 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of False
% 18.92/19.13 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of (((((eq nat) n_1) x)->False)->False)
% 18.92/19.13 Found x1:((((eq nat) b) n_1)->False)
% 18.92/19.13 Found x1 as proof of (not (((eq nat) b) n_1))
% 18.92/19.13 Found x00:False
% 18.92/19.13 Found (fun (x01:(((P n_1)->(P x))->False))=> x00) as proof of False
% 18.92/19.13 Found (fun (x01:(((P n_1)->(P x))->False))=> x00) as proof of ((((P n_1)->(P x))->False)->False)
% 18.92/19.13 Found x01:False
% 18.92/19.13 Found (fun (x02:((P x)->False))=> x01) as proof of False
% 18.92/19.13 Found (fun (x02:((P x)->False))=> x01) as proof of (((P x)->False)->False)
% 18.92/19.13 Found x1:((((eq nat) b) n_1)->False)
% 26.81/26.99 Found x1 as proof of (not (((eq nat) b) n_1))
% 26.81/26.99 Found x00:((((eq nat) x) n_1)->False)
% 26.81/26.99 Instantiate: Xx:=x:nat
% 26.81/26.99 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 26.81/26.99 Found x00:False
% 26.81/26.99 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of False
% 26.81/26.99 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of (((((eq nat) n_1) x)->False)->False)
% 26.81/26.99 Found (et0 (fun (x01:((((eq nat) n_1) x)->False))=> x00)) as proof of (((eq nat) n_1) x)
% 26.81/26.99 Found ((et (((eq nat) n_1) x)) (fun (x01:((((eq nat) n_1) x)->False))=> x00)) as proof of (((eq nat) n_1) x)
% 26.81/26.99 Found ((et (((eq nat) n_1) x)) (fun (x01:((((eq nat) n_1) x)->False))=> x00)) as proof of (((eq nat) n_1) x)
% 26.81/26.99 Found x00:False
% 26.81/26.99 Found (fun (x01:(((P n_1)->(P x))->False))=> x00) as proof of False
% 26.81/26.99 Found (fun (x01:(((P n_1)->(P x))->False))=> x00) as proof of ((((P n_1)->(P x))->False)->False)
% 26.81/26.99 Found (et0 (fun (x01:(((P n_1)->(P x))->False))=> x00)) as proof of ((P n_1)->(P x))
% 26.81/26.99 Found ((et ((P n_1)->(P x))) (fun (x01:(((P n_1)->(P x))->False))=> x00)) as proof of ((P n_1)->(P x))
% 26.81/26.99 Found ((et ((P n_1)->(P x))) (fun (x01:(((P n_1)->(P x))->False))=> x00)) as proof of ((P n_1)->(P x))
% 26.81/26.99 Found x00:((((eq nat) x) n_1)->False)
% 26.81/26.99 Instantiate: Xx:=x:nat
% 26.81/26.99 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 26.81/26.99 Found x01:False
% 26.81/26.99 Found (fun (x02:((P x)->False))=> x01) as proof of False
% 26.81/26.99 Found (fun (x02:((P x)->False))=> x01) as proof of (((P x)->False)->False)
% 26.81/26.99 Found (et0 (fun (x02:((P x)->False))=> x01)) as proof of (P x)
% 26.81/26.99 Found ((et (P x)) (fun (x02:((P x)->False))=> x01)) as proof of (P x)
% 26.81/26.99 Found ((et (P x)) (fun (x02:((P x)->False))=> x01)) as proof of (P x)
% 26.81/26.99 Found x00:False
% 26.81/26.99 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of False
% 26.81/26.99 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of (((((eq nat) n_1) x)->False)->False)
% 26.81/26.99 Found x00:False
% 26.81/26.99 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of False
% 26.81/26.99 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of (((((eq nat) n_1) x)->False)->False)
% 26.81/26.99 Found x00:((((eq nat) x) n_1)->False)
% 26.81/26.99 Instantiate: Xx:=x:nat
% 26.81/26.99 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 26.81/26.99 Found x01:False
% 26.81/26.99 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of False
% 26.81/26.99 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of (not (((eq nat) x) (suc Xx_0)))
% 26.81/26.99 Found x01:False
% 26.81/26.99 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of False
% 26.81/26.99 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of (not (((eq nat) Xx) n_1))
% 26.81/26.99 Found x00:(P x)
% 26.81/26.99 Instantiate: b:=x:nat
% 26.81/26.99 Found x00 as proof of (P0 b)
% 26.81/26.99 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 26.81/26.99 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 26.81/26.99 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 26.81/26.99 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 26.81/26.99 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 26.81/26.99 Found x00:False
% 26.81/26.99 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of False
% 26.81/26.99 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of ((((P1 n_1)->(P1 x))->False)->False)
% 26.81/26.99 Found x00:False
% 26.81/26.99 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of False
% 26.81/26.99 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of ((((P1 n_1)->(P1 x))->False)->False)
% 26.81/26.99 Found x01:False
% 26.81/26.99 Found (fun (x2:(((eq nat) Xx) n_1))=> x01) as proof of False
% 26.81/26.99 Found (fun (x2:(((eq nat) Xx) n_1))=> x01) as proof of (not (((eq nat) Xx) n_1))
% 26.81/26.99 Found x01:False
% 26.81/26.99 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of False
% 26.81/26.99 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of (not (((eq nat) x) (suc Xx_0)))
% 26.81/26.99 Found x01:False
% 26.81/26.99 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of False
% 26.81/26.99 Found (fun (Xx_0:nat) (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of (not (((eq nat) x) (suc Xx_0)))
% 26.81/26.99 Found (fun (Xx_0:nat) (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) x) (suc Xx_0))))
% 26.81/26.99 Found x00:((((eq nat) x) n_1)->False)
% 26.81/26.99 Instantiate: Xx:=x:nat
% 26.81/26.99 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 26.81/26.99 Found x01:False
% 26.81/26.99 Found (fun (x02:((P1 x)->False))=> x01) as proof of False
% 26.81/26.99 Found (fun (x02:((P1 x)->False))=> x01) as proof of (((P1 x)->False)->False)
% 26.81/26.99 Found x01:False
% 26.81/26.99 Found (fun (x02:((P1 x)->False))=> x01) as proof of False
% 30.61/30.79 Found (fun (x02:((P1 x)->False))=> x01) as proof of (((P1 x)->False)->False)
% 30.61/30.79 Found x01:False
% 30.61/30.79 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 30.61/30.79 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 30.61/30.79 Found x00:False
% 30.61/30.79 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of False
% 30.61/30.79 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of (((((eq nat) b) n_1)->False)->False)
% 30.61/30.79 Found x01:False
% 30.61/30.79 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of False
% 30.61/30.79 Found (fun (Xx_0:nat) (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of (not (((eq nat) x) (suc Xx_0)))
% 30.61/30.79 Found (fun (Xx_0:nat) (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) x) (suc Xx_0))))
% 30.61/30.79 Found x00:(P x)
% 30.61/30.79 Instantiate: b:=x:nat
% 30.61/30.79 Found x00 as proof of (P0 b)
% 30.61/30.79 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 30.61/30.79 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 30.61/30.79 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 30.61/30.79 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 30.61/30.79 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 30.61/30.79 Found x01:False
% 30.61/30.79 Found (fun (x2:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 30.61/30.79 Found (fun (x2:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 30.61/30.79 Found x00:False
% 30.61/30.79 Found (fun (x1:(((P b)->(P n_1))->False))=> x00) as proof of False
% 30.61/30.79 Found (fun (x1:(((P b)->(P n_1))->False))=> x00) as proof of ((((P b)->(P n_1))->False)->False)
% 30.61/30.79 Found x01:False
% 30.61/30.79 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 30.61/30.79 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 30.61/30.79 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 30.61/30.79 Found x00:False
% 30.61/30.79 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of False
% 30.61/30.79 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of (((((eq nat) n_1) x)->False)->False)
% 30.61/30.79 Found (et0 (fun (x01:((((eq nat) n_1) x)->False))=> x00)) as proof of (((eq nat) n_1) x)
% 30.61/30.79 Found ((et (((eq nat) n_1) x)) (fun (x01:((((eq nat) n_1) x)->False))=> x00)) as proof of (((eq nat) n_1) x)
% 30.61/30.79 Found ((et (((eq nat) n_1) x)) (fun (x01:((((eq nat) n_1) x)->False))=> x00)) as proof of (((eq nat) n_1) x)
% 30.61/30.79 Found x00:False
% 30.61/30.79 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of False
% 30.61/30.79 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of (((((eq nat) n_1) x)->False)->False)
% 30.61/30.79 Found (et0 (fun (x01:((((eq nat) n_1) x)->False))=> x00)) as proof of (((eq nat) n_1) x)
% 30.61/30.79 Found ((et (((eq nat) n_1) x)) (fun (x01:((((eq nat) n_1) x)->False))=> x00)) as proof of (((eq nat) n_1) x)
% 30.61/30.79 Found ((et (((eq nat) n_1) x)) (fun (x01:((((eq nat) n_1) x)->False))=> x00)) as proof of (((eq nat) n_1) x)
% 30.61/30.79 Found x00:False
% 30.61/30.79 Found (fun (x2:((P n_1)->False))=> x00) as proof of False
% 30.61/30.79 Found (fun (x2:((P n_1)->False))=> x00) as proof of (((P n_1)->False)->False)
% 30.61/30.79 Found x01:False
% 30.61/30.79 Found (fun (x2:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 30.61/30.79 Found (fun (Xx_0:nat) (x2:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 30.61/30.79 Found (fun (Xx_0:nat) (x2:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 30.61/30.79 Found x00:False
% 30.61/30.79 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of False
% 30.61/30.79 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of ((((P1 n_1)->(P1 x))->False)->False)
% 30.61/30.79 Found (et0 (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00)) as proof of ((P1 n_1)->(P1 x))
% 30.61/30.79 Found ((et ((P1 n_1)->(P1 x))) (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00)) as proof of ((P1 n_1)->(P1 x))
% 30.61/30.79 Found ((et ((P1 n_1)->(P1 x))) (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00)) as proof of ((P1 n_1)->(P1 x))
% 30.61/30.79 Found x00:False
% 30.61/30.79 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of False
% 30.61/30.79 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of ((((P1 n_1)->(P1 x))->False)->False)
% 30.61/30.79 Found (et0 (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00)) as proof of ((P1 n_1)->(P1 x))
% 30.61/30.79 Found ((et ((P1 n_1)->(P1 x))) (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00)) as proof of ((P1 n_1)->(P1 x))
% 36.22/36.42 Found ((et ((P1 n_1)->(P1 x))) (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00)) as proof of ((P1 n_1)->(P1 x))
% 36.22/36.42 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 36.22/36.42 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 36.22/36.42 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 36.22/36.42 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 36.22/36.42 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 36.22/36.42 Found x01:False
% 36.22/36.42 Found (fun (x02:((P1 x)->False))=> x01) as proof of False
% 36.22/36.42 Found (fun (x02:((P1 x)->False))=> x01) as proof of (((P1 x)->False)->False)
% 36.22/36.42 Found (et0 (fun (x02:((P1 x)->False))=> x01)) as proof of (P1 x)
% 36.22/36.42 Found ((et (P1 x)) (fun (x02:((P1 x)->False))=> x01)) as proof of (P1 x)
% 36.22/36.42 Found ((et (P1 x)) (fun (x02:((P1 x)->False))=> x01)) as proof of (P1 x)
% 36.22/36.42 Found x01:False
% 36.22/36.42 Found (fun (x02:((P1 x)->False))=> x01) as proof of False
% 36.22/36.42 Found (fun (x02:((P1 x)->False))=> x01) as proof of (((P1 x)->False)->False)
% 36.22/36.42 Found (et0 (fun (x02:((P1 x)->False))=> x01)) as proof of (P1 x)
% 36.22/36.42 Found ((et (P1 x)) (fun (x02:((P1 x)->False))=> x01)) as proof of (P1 x)
% 36.22/36.42 Found ((et (P1 x)) (fun (x02:((P1 x)->False))=> x01)) as proof of (P1 x)
% 36.22/36.42 Found x00:False
% 36.22/36.42 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of False
% 36.22/36.42 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of (((((eq nat) b) n_1)->False)->False)
% 36.22/36.42 Found (et0 (fun (x1:((((eq nat) b) n_1)->False))=> x00)) as proof of (((eq nat) b) n_1)
% 36.22/36.42 Found ((et (((eq nat) b) n_1)) (fun (x1:((((eq nat) b) n_1)->False))=> x00)) as proof of (((eq nat) b) n_1)
% 36.22/36.42 Found ((et (((eq nat) b) n_1)) (fun (x1:((((eq nat) b) n_1)->False))=> x00)) as proof of (((eq nat) b) n_1)
% 36.22/36.42 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 36.22/36.42 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 36.22/36.42 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 36.22/36.42 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 36.22/36.42 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 36.22/36.42 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 36.22/36.42 Found (eq_ref0 b) as proof of (((eq nat) b) n_1)
% 36.22/36.42 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 36.22/36.42 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 36.22/36.42 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 36.22/36.42 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 36.22/36.42 Found (eq_ref0 b) as proof of (P b)
% 36.22/36.42 Found ((eq_ref nat) b) as proof of (P b)
% 36.22/36.42 Found ((eq_ref nat) b) as proof of (P b)
% 36.22/36.42 Found ((eq_ref nat) b) as proof of (P b)
% 36.22/36.42 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 36.22/36.42 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 36.22/36.42 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 36.22/36.42 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 36.22/36.42 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 36.22/36.42 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 36.22/36.42 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 36.22/36.42 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 36.22/36.42 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 36.22/36.42 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 36.22/36.42 Found x00:(P n_1)
% 36.22/36.42 Instantiate: b:=n_1:nat
% 36.22/36.42 Found x00 as proof of (P0 b)
% 36.22/36.42 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 36.22/36.42 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 36.22/36.42 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 36.22/36.42 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 36.22/36.42 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 36.22/36.42 Found eq_ref000:=(eq_ref00 P):((P x)->(P x))
% 36.22/36.42 Found (eq_ref00 P) as proof of (P0 x)
% 36.22/36.42 Found ((eq_ref0 x) P) as proof of (P0 x)
% 36.22/36.42 Found (((eq_ref nat) x) P) as proof of (P0 x)
% 36.22/36.42 Found (((eq_ref nat) x) P) as proof of (P0 x)
% 36.22/36.42 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 36.22/36.42 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 36.22/36.42 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 36.22/36.42 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 36.22/36.42 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 36.22/36.42 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 36.22/36.42 Found (eq_ref0 b) as proof of (((eq nat) b) n_1)
% 36.22/36.42 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 36.22/36.42 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 36.22/36.42 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 36.22/36.42 Found x00:False
% 36.22/36.42 Found (fun (x1:(((P b)->(P n_1))->False))=> x00) as proof of False
% 36.22/36.42 Found (fun (x1:(((P b)->(P n_1))->False))=> x00) as proof of ((((P b)->(P n_1))->False)->False)
% 36.22/36.42 Found (et0 (fun (x1:(((P b)->(P n_1))->False))=> x00)) as proof of ((P b)->(P n_1))
% 42.62/42.82 Found ((et ((P b)->(P n_1))) (fun (x1:(((P b)->(P n_1))->False))=> x00)) as proof of ((P b)->(P n_1))
% 42.62/42.82 Found ((et ((P b)->(P n_1))) (fun (x1:(((P b)->(P n_1))->False))=> x00)) as proof of ((P b)->(P n_1))
% 42.62/42.82 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 42.62/42.82 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found x01:False
% 42.62/42.82 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of False
% 42.62/42.82 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of (not (((eq nat) Xx) n_1))
% 42.62/42.82 Found x00:False
% 42.62/42.82 Found (fun (x2:((P n_1)->False))=> x00) as proof of False
% 42.62/42.82 Found (fun (x2:((P n_1)->False))=> x00) as proof of (((P n_1)->False)->False)
% 42.62/42.82 Found (et0 (fun (x2:((P n_1)->False))=> x00)) as proof of (P n_1)
% 42.62/42.82 Found ((et (P n_1)) (fun (x2:((P n_1)->False))=> x00)) as proof of (P n_1)
% 42.62/42.82 Found ((et (P n_1)) (fun (x2:((P n_1)->False))=> x00)) as proof of (P n_1)
% 42.62/42.82 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 42.62/42.82 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found x01:False
% 42.62/42.82 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of False
% 42.62/42.82 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of (not (((eq nat) Xx) n_1))
% 42.62/42.82 Found x02:False
% 42.62/42.82 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 42.62/42.82 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 42.62/42.82 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 42.62/42.82 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 42.62/42.82 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 42.62/42.82 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 42.62/42.82 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 42.62/42.82 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 42.62/42.82 Found (eq_ref0 b) as proof of (((eq nat) b) n_1)
% 42.62/42.82 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 42.62/42.82 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 42.62/42.82 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 42.62/42.82 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 42.62/42.82 Found (eq_ref0 b) as proof of (P b)
% 42.62/42.82 Found ((eq_ref nat) b) as proof of (P b)
% 42.62/42.82 Found ((eq_ref nat) b) as proof of (P b)
% 42.62/42.82 Found ((eq_ref nat) b) as proof of (P b)
% 42.62/42.82 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 42.62/42.82 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found eq_ref000:=(eq_ref00 P):((P x)->(P x))
% 42.62/42.82 Found (eq_ref00 P) as proof of (P0 x)
% 42.62/42.82 Found ((eq_ref0 x) P) as proof of (P0 x)
% 42.62/42.82 Found (((eq_ref nat) x) P) as proof of (P0 x)
% 42.62/42.82 Found (((eq_ref nat) x) P) as proof of (P0 x)
% 42.62/42.82 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 42.62/42.82 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 42.62/42.82 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 42.62/42.82 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 42.62/42.82 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 42.62/42.82 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 42.62/42.82 Found (eq_ref0 b) as proof of (((eq nat) b) n_1)
% 42.62/42.82 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 42.62/42.82 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 42.62/42.82 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 42.62/42.82 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 42.62/42.82 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 42.62/42.82 Found x02:False
% 42.62/42.82 Found (fun (x1:(((eq nat) Xx) n_1))=> x02) as proof of False
% 42.62/42.82 Found (fun (x1:(((eq nat) Xx) n_1))=> x02) as proof of (not (((eq nat) Xx) n_1))
% 42.62/42.82 Found x00:(P n_1)
% 42.62/42.82 Instantiate: b:=n_1:nat
% 42.62/42.82 Found x00 as proof of (P0 b)
% 42.62/42.82 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 42.62/42.82 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 42.62/42.82 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 42.62/42.82 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 42.62/42.82 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 49.49/49.74 Found x02:False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 49.49/49.74 Found x02:False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 49.49/49.74 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 49.49/49.74 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 49.49/49.74 Found x01:False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 49.49/49.74 Found x02:False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 49.49/49.74 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 49.49/49.74 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 49.49/49.74 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 49.49/49.74 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 49.49/49.74 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 49.49/49.74 Found x1:((((eq nat) b) n_1)->False)
% 49.49/49.74 Found x1 as proof of (not (((eq nat) b) n_1))
% 49.49/49.74 Found x02:False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 49.49/49.74 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 49.49/49.74 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 49.49/49.74 Found x01:False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 49.49/49.74 Found x00:False
% 49.49/49.74 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 49.49/49.74 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 49.49/49.74 Found x02:False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 49.49/49.74 Found x00:False
% 49.49/49.74 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 49.49/49.74 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 49.49/49.74 Found x01:False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 49.49/49.74 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 49.49/49.74 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 49.49/49.74 Found x02:False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 49.49/49.74 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 49.49/49.74 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 49.49/49.74 Found x02:False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x02) as proof of False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 49.49/49.74 Found x01:False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 49.49/49.74 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 49.49/49.74 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 49.49/49.74 Found x00:False
% 49.49/49.74 Found (fun (x1:(((P n_1)->(P b))->False))=> x00) as proof of False
% 49.49/49.74 Found (fun (x1:(((P n_1)->(P b))->False))=> x00) as proof of ((((P n_1)->(P b))->False)->False)
% 49.49/49.74 Found x00:False
% 49.49/49.74 Found (fun (x1:(((P n_1)->(P b))->False))=> x00) as proof of False
% 49.49/49.74 Found (fun (x1:(((P n_1)->(P b))->False))=> x00) as proof of ((((P n_1)->(P b))->False)->False)
% 49.49/49.74 Found x02:False
% 49.49/49.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 49.49/49.74 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 49.49/49.74 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 60.08/60.28 Found x02:False
% 60.08/60.28 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x02) as proof of False
% 60.08/60.28 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 60.08/60.28 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 60.08/60.28 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 60.08/60.28 Found (eq_ref00 P) as proof of (P0 b)
% 60.08/60.28 Found ((eq_ref0 b) P) as proof of (P0 b)
% 60.08/60.28 Found (((eq_ref nat) b) P) as proof of (P0 b)
% 60.08/60.28 Found (((eq_ref nat) b) P) as proof of (P0 b)
% 60.08/60.28 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 60.08/60.28 Found (eq_ref0 x) as proof of (((eq nat) x) b0)
% 60.08/60.28 Found ((eq_ref nat) x) as proof of (((eq nat) x) b0)
% 60.08/60.28 Found ((eq_ref nat) x) as proof of (((eq nat) x) b0)
% 60.08/60.28 Found ((eq_ref nat) x) as proof of (((eq nat) x) b0)
% 60.08/60.28 Found eq_ref00:=(eq_ref0 b0):(((eq nat) b0) b0)
% 60.08/60.28 Found (eq_ref0 b0) as proof of (((eq nat) b0) n_1)
% 60.08/60.28 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) n_1)
% 60.08/60.28 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) n_1)
% 60.08/60.28 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) n_1)
% 60.08/60.28 Found x01:False
% 60.08/60.28 Found (fun (x02:(((eq nat) x) ((pl n_1) Xx_0)))=> x01) as proof of False
% 60.08/60.28 Found (fun (x02:(((eq nat) x) ((pl n_1) Xx_0)))=> x01) as proof of (not (((eq nat) x) ((pl n_1) Xx_0)))
% 60.08/60.28 Found x00:False
% 60.08/60.28 Found (fun (x2:((P b)->False))=> x00) as proof of False
% 60.08/60.28 Found (fun (x2:((P b)->False))=> x00) as proof of (((P b)->False)->False)
% 60.08/60.28 Found x00:False
% 60.08/60.28 Found (fun (x2:((P b)->False))=> x00) as proof of False
% 60.08/60.28 Found (fun (x2:((P b)->False))=> x00) as proof of (((P b)->False)->False)
% 60.08/60.28 Found x00:((((eq nat) x) b)->False)
% 60.08/60.28 Found x00 as proof of (not (((eq nat) x) n_1))
% 60.08/60.28 Found x00:((((eq nat) x) n_1)->False)
% 60.08/60.28 Instantiate: Xx0:=x:nat
% 60.08/60.28 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 60.08/60.28 Found x01:False
% 60.08/60.28 Found (fun (x02:(((eq nat) x) ((pl n_1) Xx_0)))=> x01) as proof of False
% 60.08/60.28 Found (fun (x02:(((eq nat) x) ((pl n_1) Xx_0)))=> x01) as proof of (not (((eq nat) x) ((pl n_1) Xx_0)))
% 60.08/60.28 Found eq_ref000:=(eq_ref00 P):((P n_1)->(P n_1))
% 60.08/60.28 Found (eq_ref00 P) as proof of (P0 n_1)
% 60.08/60.28 Found ((eq_ref0 n_1) P) as proof of (P0 n_1)
% 60.08/60.28 Found (((eq_ref nat) n_1) P) as proof of (P0 n_1)
% 60.08/60.28 Found (((eq_ref nat) n_1) P) as proof of (P0 n_1)
% 60.08/60.28 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 60.08/60.28 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 60.08/60.28 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 60.08/60.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 60.08/60.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 60.08/60.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 60.08/60.28 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 60.08/60.28 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 60.08/60.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 60.08/60.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 60.08/60.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 60.08/60.28 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 60.08/60.28 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 60.08/60.28 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 60.08/60.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 60.08/60.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 60.08/60.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 60.08/60.28 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 60.08/60.28 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 60.08/60.28 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 60.08/60.28 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 60.08/60.28 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 60.08/60.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 70.95/71.18 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 70.95/71.18 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 70.95/71.18 Found x00:False
% 70.95/71.18 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 70.95/71.18 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 70.95/71.18 Found (et0 (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 70.95/71.18 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 70.95/71.18 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 70.95/71.18 Found x00:False
% 70.95/71.18 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 70.95/71.18 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 70.95/71.18 Found (et0 (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 70.95/71.18 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 70.95/71.18 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 70.95/71.18 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 70.95/71.18 Found (eq_ref00 P) as proof of (P0 b)
% 70.95/71.18 Found ((eq_ref0 b) P) as proof of (P0 b)
% 70.95/71.18 Found (((eq_ref nat) b) P) as proof of (P0 b)
% 70.95/71.18 Found (((eq_ref nat) b) P) as proof of (P0 b)
% 70.95/71.18 Found x00:((((eq nat) x) n_1)->False)
% 70.95/71.18 Instantiate: Xx0:=x:nat
% 70.95/71.18 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 70.95/71.18 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 70.95/71.18 Found (eq_ref0 x) as proof of (((eq nat) x) b0)
% 70.95/71.18 Found ((eq_ref nat) x) as proof of (((eq nat) x) b0)
% 70.95/71.18 Found ((eq_ref nat) x) as proof of (((eq nat) x) b0)
% 70.95/71.18 Found ((eq_ref nat) x) as proof of (((eq nat) x) b0)
% 70.95/71.18 Found eq_ref00:=(eq_ref0 b0):(((eq nat) b0) b0)
% 70.95/71.18 Found (eq_ref0 b0) as proof of (((eq nat) b0) n_1)
% 70.95/71.18 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) n_1)
% 70.95/71.18 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) n_1)
% 70.95/71.18 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) n_1)
% 70.95/71.18 Found x00:((((eq nat) x) n_1)->False)
% 70.95/71.18 Instantiate: Xx0:=x:nat
% 70.95/71.18 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 70.95/71.18 Found x00:False
% 70.95/71.18 Found (fun (x1:(((P n_1)->(P b))->False))=> x00) as proof of False
% 70.95/71.18 Found (fun (x1:(((P n_1)->(P b))->False))=> x00) as proof of ((((P n_1)->(P b))->False)->False)
% 70.95/71.18 Found (et0 (fun (x1:(((P n_1)->(P b))->False))=> x00)) as proof of ((P n_1)->(P b))
% 70.95/71.18 Found ((et ((P n_1)->(P b))) (fun (x1:(((P n_1)->(P b))->False))=> x00)) as proof of ((P n_1)->(P b))
% 70.95/71.18 Found ((et ((P n_1)->(P b))) (fun (x1:(((P n_1)->(P b))->False))=> x00)) as proof of ((P n_1)->(P b))
% 70.95/71.18 Found x00:False
% 70.95/71.18 Found (fun (x1:(((P n_1)->(P b))->False))=> x00) as proof of False
% 70.95/71.18 Found (fun (x1:(((P n_1)->(P b))->False))=> x00) as proof of ((((P n_1)->(P b))->False)->False)
% 70.95/71.18 Found (et0 (fun (x1:(((P n_1)->(P b))->False))=> x00)) as proof of ((P n_1)->(P b))
% 70.95/71.18 Found ((et ((P n_1)->(P b))) (fun (x1:(((P n_1)->(P b))->False))=> x00)) as proof of ((P n_1)->(P b))
% 70.95/71.18 Found ((et ((P n_1)->(P b))) (fun (x1:(((P n_1)->(P b))->False))=> x00)) as proof of ((P n_1)->(P b))
% 70.95/71.18 Found x00:((((eq nat) x) n_1)->False)
% 70.95/71.18 Instantiate: Xx0:=x:nat
% 70.95/71.18 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 70.95/71.18 Found x00:((((eq nat) x) n_1)->False)
% 70.95/71.18 Instantiate: Xx0:=x:nat
% 70.95/71.18 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 70.95/71.18 Found eq_ref000:=(eq_ref00 P):((P n_1)->(P n_1))
% 70.95/71.18 Found (eq_ref00 P) as proof of (P0 n_1)
% 70.95/71.18 Found ((eq_ref0 n_1) P) as proof of (P0 n_1)
% 70.95/71.18 Found (((eq_ref nat) n_1) P) as proof of (P0 n_1)
% 70.95/71.18 Found (((eq_ref nat) n_1) P) as proof of (P0 n_1)
% 70.95/71.18 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 70.95/71.18 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 70.95/71.18 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 70.95/71.18 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 70.95/71.18 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 70.95/71.18 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 70.95/71.18 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 70.95/71.18 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 70.95/71.18 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 70.95/71.18 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 70.95/71.18 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 70.95/71.18 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 70.95/71.18 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 85.77/86.03 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 85.77/86.03 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 85.77/86.03 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 85.77/86.03 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 85.77/86.03 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 85.77/86.03 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 85.77/86.03 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 85.77/86.03 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 85.77/86.03 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 85.77/86.03 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 85.77/86.03 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 85.77/86.03 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 85.77/86.03 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 85.77/86.03 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 85.77/86.03 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 85.77/86.03 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 85.77/86.03 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 85.77/86.03 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 85.77/86.03 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 85.77/86.03 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 85.77/86.03 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 85.77/86.03 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 85.77/86.03 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 85.77/86.03 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 85.77/86.03 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 85.77/86.03 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 85.77/86.03 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 85.77/86.03 Found x00:False
% 85.77/86.03 Found (fun (x2:((P b)->False))=> x00) as proof of False
% 85.77/86.03 Found (fun (x2:((P b)->False))=> x00) as proof of (((P b)->False)->False)
% 85.77/86.03 Found (et0 (fun (x2:((P b)->False))=> x00)) as proof of (P b)
% 85.77/86.03 Found ((et (P b)) (fun (x2:((P b)->False))=> x00)) as proof of (P b)
% 85.77/86.03 Found ((et (P b)) (fun (x2:((P b)->False))=> x00)) as proof of (P b)
% 85.77/86.03 Found x00:False
% 85.77/86.03 Found (fun (x2:((P b)->False))=> x00) as proof of False
% 85.77/86.03 Found (fun (x2:((P b)->False))=> x00) as proof of (((P b)->False)->False)
% 85.77/86.03 Found (et0 (fun (x2:((P b)->False))=> x00)) as proof of (P b)
% 85.77/86.03 Found ((et (P b)) (fun (x2:((P b)->False))=> x00)) as proof of (P b)
% 85.77/86.03 Found ((et (P b)) (fun (x2:((P b)->False))=> x00)) as proof of (P b)
% 85.77/86.03 Found x00:False
% 85.77/86.03 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of False
% 85.77/86.03 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (not (((eq nat) b) (suc Xx_0)))
% 85.77/86.03 Found x00:((((eq nat) x) n_1)->False)
% 85.77/86.03 Instantiate: Xx0:=x:nat
% 85.77/86.03 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 85.77/86.03 Found eq_ref000:=(eq_ref00 P):((P x)->(P x))
% 85.77/86.03 Found (eq_ref00 P) as proof of (P0 x)
% 85.77/86.03 Found ((eq_ref0 x) P) as proof of (P0 x)
% 85.77/86.03 Found (((eq_ref nat) x) P) as proof of (P0 x)
% 85.77/86.03 Found (((eq_ref nat) x) P) as proof of (P0 x)
% 85.77/86.03 Found x00:((((eq nat) x) n_1)->False)
% 85.77/86.03 Instantiate: Xx0:=x:nat
% 85.77/86.03 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 85.77/86.03 Found x00:False
% 85.77/86.03 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of False
% 85.77/86.03 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of (((((eq nat) b) n_1)->False)->False)
% 85.77/86.03 Found x00:False
% 85.77/86.03 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of False
% 85.77/86.03 Found (fun (Xx_0:nat) (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (not (((eq nat) b) (suc Xx_0)))
% 85.77/86.03 Found (fun (Xx_0:nat) (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (forall (Xx_0:nat), (not (((eq nat) b) (suc Xx_0))))
% 85.77/86.03 Found x00:((((eq nat) x) n_1)->False)
% 85.77/86.03 Instantiate: Xx0:=x:nat
% 85.77/86.03 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 85.77/86.03 Found x00:False
% 85.77/86.03 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of False
% 85.77/86.03 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (not (((eq nat) b) (suc Xx_0)))
% 85.77/86.03 Found x00:False
% 85.77/86.03 Found (fun (x1:(((P b)->(P n_1))->False))=> x00) as proof of False
% 85.77/86.03 Found (fun (x1:(((P b)->(P n_1))->False))=> x00) as proof of ((((P b)->(P n_1))->False)->False)
% 85.77/86.03 Found eq_ref000:=(eq_ref00 P):((P n_1)->(P n_1))
% 85.77/86.03 Found (eq_ref00 P) as proof of (P0 n_1)
% 85.77/86.03 Found ((eq_ref0 n_1) P) as proof of (P0 n_1)
% 85.77/86.03 Found (((eq_ref nat) n_1) P) as proof of (P0 n_1)
% 85.77/86.03 Found (((eq_ref nat) n_1) P) as proof of (P0 n_1)
% 85.77/86.03 Found x00:False
% 85.77/86.03 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of False
% 85.77/86.03 Found (fun (Xx_0:nat) (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (not (((eq nat) b) (suc Xx_0)))
% 100.85/101.07 Found (fun (Xx_0:nat) (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (forall (Xx_0:nat), (not (((eq nat) b) (suc Xx_0))))
% 100.85/101.07 Found x01:False
% 100.85/101.07 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_0)))=> x01) as proof of False
% 100.85/101.07 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_0)))=> x01) as proof of (not (((eq nat) Xx) ((pl n_1) Xx_0)))
% 100.85/101.07 Found eq_ref000:=(eq_ref00 P):((P x)->(P x))
% 100.85/101.07 Found (eq_ref00 P) as proof of (P0 x)
% 100.85/101.07 Found ((eq_ref0 x) P) as proof of (P0 x)
% 100.85/101.07 Found (((eq_ref nat) x) P) as proof of (P0 x)
% 100.85/101.07 Found (((eq_ref nat) x) P) as proof of (P0 x)
% 100.85/101.07 Found x00:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False)
% 100.85/101.07 Found x00 as proof of (not (((eq nat) x) n_1))
% 100.85/101.07 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 100.85/101.07 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b0)
% 100.85/101.07 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b0)
% 100.85/101.07 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b0)
% 100.85/101.07 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b0)
% 100.85/101.07 Found eq_ref00:=(eq_ref0 b0):(((eq nat) b0) b0)
% 100.85/101.07 Found (eq_ref0 b0) as proof of (((eq nat) b0) x)
% 100.85/101.07 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) x)
% 100.85/101.07 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) x)
% 100.85/101.07 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) x)
% 100.85/101.07 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 100.85/101.07 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found x01:False
% 100.85/101.07 Found (fun (x2:(((eq nat) Xx) ((pl n_1) Xx_0)))=> x01) as proof of False
% 100.85/101.07 Found (fun (x2:(((eq nat) Xx) ((pl n_1) Xx_0)))=> x01) as proof of (not (((eq nat) Xx) ((pl n_1) Xx_0)))
% 100.85/101.07 Found x00:False
% 100.85/101.07 Found (fun (x2:((P n_1)->False))=> x00) as proof of False
% 100.85/101.07 Found (fun (x2:((P n_1)->False))=> x00) as proof of (((P n_1)->False)->False)
% 100.85/101.07 Found x1:((((eq nat) b) n_1)->False)
% 100.85/101.07 Found x1 as proof of (not (((eq nat) b) n_1))
% 100.85/101.07 Found x1:((((eq nat) b) n_1)->False)
% 100.85/101.07 Found x1 as proof of (not (((eq nat) b) n_1))
% 100.85/101.07 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 100.85/101.07 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found x02:False
% 100.85/101.07 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 100.85/101.07 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 100.85/101.07 Found x02:False
% 100.85/101.07 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of False
% 100.85/101.07 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of (not (((eq nat) Xx) ((pl n_1) Xx_00)))
% 100.85/101.07 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 100.85/101.07 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 100.85/101.07 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 100.85/101.07 Found eq_ref000:=(eq_ref00 P):((P b)->(P b))
% 100.85/101.07 Found (eq_ref00 P) as proof of (P0 b)
% 100.85/101.07 Found ((eq_ref0 b) P) as proof of (P0 b)
% 100.85/101.07 Found (((eq_ref nat) b) P) as proof of (P0 b)
% 100.85/101.07 Found (((eq_ref nat) b) P) as proof of (P0 b)
% 100.85/101.07 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 100.85/101.07 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 100.85/101.07 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 100.85/101.07 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 100.85/101.07 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 100.85/101.07 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 100.85/101.07 Found (eq_ref0 b) as proof of (((eq nat) b) n_1)
% 100.85/101.07 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 100.85/101.07 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 100.85/101.07 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 100.85/101.07 Found x00:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False)
% 100.85/101.07 Found x00 as proof of (not (((eq nat) x) n_1))
% 100.85/101.07 Found x00:False
% 100.85/101.07 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of False
% 108.20/108.44 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of (((((eq nat) b) n_1)->False)->False)
% 108.20/108.44 Found (et0 (fun (x1:((((eq nat) b) n_1)->False))=> x00)) as proof of (((eq nat) b) n_1)
% 108.20/108.44 Found ((et (((eq nat) b) n_1)) (fun (x1:((((eq nat) b) n_1)->False))=> x00)) as proof of (((eq nat) b) n_1)
% 108.20/108.44 Found ((et (((eq nat) b) n_1)) (fun (x1:((((eq nat) b) n_1)->False))=> x00)) as proof of (((eq nat) b) n_1)
% 108.20/108.44 Found x02:False
% 108.20/108.44 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 108.20/108.44 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 108.20/108.44 Found x02:False
% 108.20/108.44 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of False
% 108.20/108.44 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of (not (((eq nat) Xx) ((pl n_1) Xx_00)))
% 108.20/108.44 Found x02:False
% 108.20/108.44 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 108.20/108.44 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 108.20/108.44 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 108.20/108.44 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 108.20/108.44 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 108.20/108.44 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 108.20/108.44 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 108.20/108.44 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 108.20/108.44 Found x1:((((eq nat) b) n_1)->False)
% 108.20/108.44 Instantiate: Xx:=b:nat
% 108.20/108.44 Found x1 as proof of (not (((eq nat) Xx) n_1))
% 108.20/108.44 Found eq_ref00:=(eq_ref0 b0):(((eq nat) b0) b0)
% 108.20/108.44 Found (eq_ref0 b0) as proof of (((eq nat) b0) x)
% 108.20/108.44 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) x)
% 108.20/108.44 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) x)
% 108.20/108.44 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) x)
% 108.20/108.44 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 108.20/108.44 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b0)
% 108.20/108.44 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b0)
% 108.20/108.44 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b0)
% 108.20/108.44 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b0)
% 108.20/108.44 Found x02:False
% 108.20/108.44 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 108.20/108.44 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 108.20/108.44 Found x02:False
% 108.20/108.44 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of False
% 108.20/108.44 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of (not (((eq nat) Xx) ((pl n_1) Xx_00)))
% 108.20/108.44 Found x00:False
% 108.20/108.44 Found (fun (x1:(((P b)->(P n_1))->False))=> x00) as proof of False
% 108.20/108.44 Found (fun (x1:(((P b)->(P n_1))->False))=> x00) as proof of ((((P b)->(P n_1))->False)->False)
% 108.20/108.44 Found (et0 (fun (x1:(((P b)->(P n_1))->False))=> x00)) as proof of ((P b)->(P n_1))
% 108.20/108.44 Found ((et ((P b)->(P n_1))) (fun (x1:(((P b)->(P n_1))->False))=> x00)) as proof of ((P b)->(P n_1))
% 108.20/108.44 Found ((et ((P b)->(P n_1))) (fun (x1:(((P b)->(P n_1))->False))=> x00)) as proof of ((P b)->(P n_1))
% 108.20/108.44 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 108.20/108.44 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 108.20/108.44 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 108.20/108.44 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 108.20/108.44 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 108.20/108.44 Found x02:False
% 108.20/108.44 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 108.20/108.44 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 108.20/108.44 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 108.20/108.44 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 108.20/108.44 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b0)
% 108.20/108.44 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b0)
% 108.20/108.44 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b0)
% 108.20/108.44 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b0)
% 108.20/108.44 Found eq_ref00:=(eq_ref0 b0):(((eq nat) b0) b0)
% 108.20/108.44 Found (eq_ref0 b0) as proof of (((eq nat) b0) b)
% 108.20/108.44 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) b)
% 108.20/108.44 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) b)
% 108.20/108.44 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) b)
% 108.20/108.44 Found x1:((((eq nat) b) n_1)->False)
% 108.20/108.44 Found x1 as proof of (not (((eq nat) b) n_1))
% 108.20/108.44 Found x1:((((eq nat) b) n_1)->False)
% 122.20/122.47 Found x1 as proof of (not (((eq nat) b) n_1))
% 122.20/122.47 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 122.20/122.47 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found x02:False
% 122.20/122.47 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 122.20/122.47 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 122.20/122.47 Found x02:False
% 122.20/122.47 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of False
% 122.20/122.47 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of (not (((eq nat) Xx) ((pl n_1) Xx_00)))
% 122.20/122.47 Found x02:False
% 122.20/122.47 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 122.20/122.47 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 122.20/122.47 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 122.20/122.47 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 122.20/122.47 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 122.20/122.47 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 122.20/122.47 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 122.20/122.47 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 122.20/122.47 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 122.20/122.47 Found (eq_ref0 b) as proof of (((eq nat) b) n_1)
% 122.20/122.47 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 122.20/122.47 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 122.20/122.47 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 122.20/122.47 Found x1:((((eq nat) b) n_1)->False)
% 122.20/122.47 Instantiate: Xx:=b:nat
% 122.20/122.47 Found x1 as proof of (not (((eq nat) Xx) n_1))
% 122.20/122.47 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 122.20/122.47 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 122.20/122.47 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found x00:False
% 122.20/122.47 Found (fun (x2:((P n_1)->False))=> x00) as proof of False
% 122.20/122.47 Found (fun (x2:((P n_1)->False))=> x00) as proof of (((P n_1)->False)->False)
% 122.20/122.47 Found (et0 (fun (x2:((P n_1)->False))=> x00)) as proof of (P n_1)
% 122.20/122.47 Found ((et (P n_1)) (fun (x2:((P n_1)->False))=> x00)) as proof of (P n_1)
% 122.20/122.47 Found ((et (P n_1)) (fun (x2:((P n_1)->False))=> x00)) as proof of (P n_1)
% 122.20/122.47 Found x02:False
% 122.20/122.47 Found (fun (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of False
% 122.20/122.47 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_00)))
% 122.20/122.47 Found (fun (Xx_00:nat) (x1:(((eq nat) Xx) (suc Xx_00)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 122.20/122.47 Found x01:((((eq nat) x) b)->False)
% 122.20/122.47 Found x01 as proof of (not (((eq nat) x) n_1))
% 122.20/122.47 Found x1:((((eq nat) b) n_1)->False)
% 122.20/122.47 Found x1 as proof of (not (((eq nat) b) n_1))
% 122.20/122.47 Found x00:((((eq nat) n_1) x)->False)
% 122.20/122.47 Instantiate: Xx:=x:nat;Xx0:=n_1:nat
% 122.20/122.47 Found x00 as proof of (not (((eq nat) Xx0) Xx))
% 122.20/122.47 Found (x10 x00) as proof of (not (((eq nat) Xx0) n_1))
% 122.20/122.47 Found ((x1 (fun (x3:nat)=> (not (((eq nat) Xx0) x3)))) x00) as proof of (not (((eq nat) Xx0) n_1))
% 122.20/122.47 Found ((x1 (fun (x3:nat)=> (not (((eq nat) Xx0) x3)))) x00) as proof of (not (((eq nat) Xx0) n_1))
% 122.20/122.47 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 122.20/122.47 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 122.20/122.47 Found x1:((((eq nat) b) n_1)->False)
% 122.20/122.47 Instantiate: Xx:=b:nat
% 122.20/122.47 Found x1 as proof of (not (((eq nat) Xx) n_1))
% 122.20/122.47 Found x01:False
% 122.20/122.47 Found (fun (x1:((((eq nat) n_1) b)->False))=> x01) as proof of False
% 122.20/122.47 Found (fun (x1:((((eq nat) n_1) b)->False))=> x01) as proof of (((((eq nat) n_1) b)->False)->False)
% 122.20/122.47 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 122.20/122.47 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b0)
% 122.20/122.47 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b0)
% 144.82/145.10 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b0)
% 144.82/145.10 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b0)
% 144.82/145.10 Found eq_ref00:=(eq_ref0 b0):(((eq nat) b0) b0)
% 144.82/145.10 Found (eq_ref0 b0) as proof of (((eq nat) b0) b)
% 144.82/145.10 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) b)
% 144.82/145.10 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) b)
% 144.82/145.10 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) b)
% 144.82/145.10 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 144.82/145.10 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 144.82/145.10 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 144.82/145.10 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 144.82/145.10 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 144.82/145.10 Found x01:False
% 144.82/145.10 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x01) as proof of False
% 144.82/145.10 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x01) as proof of ((((P1 n_1)->(P1 b))->False)->False)
% 144.82/145.10 Found x1:((((eq nat) b) n_1)->False)
% 144.82/145.10 Instantiate: Xx:=b:nat
% 144.82/145.10 Found x1 as proof of (not (((eq nat) Xx) n_1))
% 144.82/145.10 Found x00:((((eq nat) x) n_1)->False)
% 144.82/145.10 Instantiate: Xx:=x:nat
% 144.82/145.10 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 144.82/145.10 Found x00:((((eq nat) x) n_1)->False)
% 144.82/145.10 Instantiate: Xx0:=x:nat
% 144.82/145.10 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 144.82/145.10 Found x1:((((eq nat) b0) n_1)->False)
% 144.82/145.10 Found x1 as proof of (not (((eq nat) b0) n_1))
% 144.82/145.10 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 144.82/145.10 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 144.82/145.10 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 144.82/145.10 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 144.82/145.10 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 144.82/145.10 Found x00:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False)
% 144.82/145.10 Instantiate: Xx:=x:nat
% 144.82/145.10 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 144.82/145.10 Found x00:((((eq nat) x) n_1)->False)
% 144.82/145.10 Instantiate: Xx0:=x:nat
% 144.82/145.10 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 144.82/145.10 Found x01:((((eq nat) x) b)->False)
% 144.82/145.10 Found x01 as proof of (not (((eq nat) x) n_1))
% 144.82/145.10 Found x1:((((eq nat) b) n_1)->False)
% 144.82/145.10 Found x1 as proof of (not (((eq nat) b) n_1))
% 144.82/145.10 Found x00:((((eq nat) n_1) x)->False)
% 144.82/145.10 Instantiate: Xx:=x:nat;Xx0:=n_1:nat
% 144.82/145.10 Found x00 as proof of (not (((eq nat) Xx0) Xx))
% 144.82/145.10 Found (x10 x00) as proof of (not (((eq nat) Xx0) n_1))
% 144.82/145.10 Found ((x1 (fun (x3:nat)=> (not (((eq nat) Xx0) x3)))) x00) as proof of (not (((eq nat) Xx0) n_1))
% 144.82/145.10 Found ((x1 (fun (x3:nat)=> (not (((eq nat) Xx0) x3)))) x00) as proof of (not (((eq nat) Xx0) n_1))
% 144.82/145.10 Found x01:False
% 144.82/145.10 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_0)))=> x01) as proof of False
% 144.82/145.10 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_0)))=> x01) as proof of (not (((eq nat) Xx) ((pl n_1) Xx_0)))
% 144.82/145.10 Found x00:((((eq nat) x) n_1)->False)
% 144.82/145.10 Instantiate: Xx0:=x:nat
% 144.82/145.10 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 144.82/145.10 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 144.82/145.10 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 144.82/145.10 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 144.82/145.10 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 144.82/145.10 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 144.82/145.10 Found x01:False
% 144.82/145.10 Found (fun (x2:((P1 b)->False))=> x01) as proof of False
% 144.82/145.10 Found (fun (x2:((P1 b)->False))=> x01) as proof of (((P1 b)->False)->False)
% 144.82/145.10 Found x00:((((eq nat) x) n_1)->False)
% 144.82/145.10 Instantiate: Xx0:=x:nat
% 144.82/145.10 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 144.82/145.10 Found x00:((((eq nat) x) n_1)->False)
% 144.82/145.10 Instantiate: Xx:=x:nat
% 144.82/145.10 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 144.82/145.10 Found x00:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False)
% 144.82/145.10 Instantiate: Xx:=x:nat
% 144.82/145.10 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 144.82/145.10 Found x00:((((eq nat) x) n_1)->False)
% 144.82/145.10 Instantiate: Xx0:=x:nat
% 144.82/145.10 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 144.82/145.10 Found x01:False
% 144.82/145.10 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_0)))=> x01) as proof of False
% 144.82/145.10 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_0)))=> x01) as proof of (not (((eq nat) Xx) ((pl n_1) Xx_0)))
% 144.82/145.10 Found x00:((((eq nat) x) n_1)->False)
% 144.82/145.10 Instantiate: Xx0:=x:nat
% 144.82/145.10 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 144.82/145.10 Found x00:False
% 144.82/145.10 Found (fun (x01:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False))=> x00) as proof of False
% 144.82/145.10 Found (fun (x01:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False))=> x00) as proof of (((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False)->False)
% 144.82/145.10 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 155.02/155.28 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 155.02/155.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 155.02/155.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 155.02/155.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 155.02/155.28 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 155.02/155.28 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 155.02/155.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 155.02/155.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 155.02/155.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 155.02/155.28 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 155.02/155.28 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 155.02/155.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 155.02/155.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 155.02/155.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 155.02/155.28 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 155.02/155.28 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 155.02/155.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 155.02/155.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 155.02/155.28 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 155.02/155.28 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 155.02/155.28 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 155.02/155.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 155.02/155.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 155.02/155.28 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 155.02/155.28 Found x1:((((eq nat) b) n_1)->False)
% 155.02/155.28 Found x1 as proof of (not (((eq nat) b) n_1))
% 155.02/155.28 Found x00:((((eq nat) x) n_1)->False)
% 155.02/155.28 Instantiate: Xx:=x:nat
% 155.02/155.28 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 155.02/155.28 Found x00:((((eq nat) x) n_1)->False)
% 155.02/155.28 Instantiate: Xx0:=x:nat
% 155.02/155.28 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 155.02/155.28 Found x00:False
% 155.02/155.28 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of False
% 155.02/155.28 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of (((((eq nat) b) n_1)->False)->False)
% 155.02/155.28 Found x00:False
% 155.02/155.28 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of False
% 155.02/155.28 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of (((((eq nat) b) n_1)->False)->False)
% 155.02/155.28 Found x00:False
% 155.02/155.28 Found (fun (x01:(((P x)->(P n_1))->False))=> x00) as proof of False
% 155.02/155.28 Found (fun (x01:(((P x)->(P n_1))->False))=> x00) as proof of ((((P x)->(P n_1))->False)->False)
% 155.02/155.28 Found x00:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False)
% 155.02/155.28 Instantiate: Xx:=x:nat
% 155.02/155.28 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 155.02/155.28 Found x00:((((eq nat) x) n_1)->False)
% 155.02/155.28 Instantiate: Xx0:=x:nat
% 155.02/155.28 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 155.02/155.28 Found x1:((((eq nat) b0) n_1)->False)
% 155.02/155.28 Found x1 as proof of (not (((eq nat) b0) n_1))
% 155.02/155.28 Found x02:False
% 155.02/155.28 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_0)))=> x02) as proof of False
% 155.02/155.28 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_0)))=> x02) as proof of (not (((eq nat) Xx) ((pl n_1) Xx_0)))
% 155.02/155.28 Found x00:((((eq nat) x) n_1)->False)
% 155.02/155.28 Instantiate: Xx0:=x:nat
% 155.02/155.28 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 155.02/155.28 Found x00:False
% 155.02/155.28 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 155.02/155.28 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 155.02/155.28 Found x00:((((eq nat) x) n_1)->False)
% 155.02/155.28 Instantiate: Xx0:=x:nat
% 155.02/155.28 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 155.02/155.28 Found x01:False
% 155.02/155.28 Found (fun (x1:((((eq nat) n_1) b)->False))=> x01) as proof of False
% 155.02/155.28 Found (fun (x1:((((eq nat) n_1) b)->False))=> x01) as proof of (((((eq nat) n_1) b)->False)->False)
% 155.02/155.28 Found (et0 (fun (x1:((((eq nat) n_1) b)->False))=> x01)) as proof of (((eq nat) n_1) b)
% 155.02/155.28 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x01)) as proof of (((eq nat) n_1) b)
% 155.02/155.28 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x01)) as proof of (((eq nat) n_1) b)
% 155.02/155.28 Found x01:False
% 155.02/155.28 Found (fun (x1:((P n_1)->False))=> x01) as proof of False
% 155.02/155.28 Found (fun (x1:((P n_1)->False))=> x01) as proof of (((P n_1)->False)->False)
% 155.02/155.28 Found x00:False
% 155.02/155.28 Found (fun (x1:(((P1 b)->(P1 n_1))->False))=> x00) as proof of False
% 155.02/155.28 Found (fun (x1:(((P1 b)->(P1 n_1))->False))=> x00) as proof of ((((P1 b)->(P1 n_1))->False)->False)
% 155.02/155.28 Found x00:False
% 155.02/155.28 Found (fun (x1:(((P1 b)->(P1 n_1))->False))=> x00) as proof of False
% 155.02/155.28 Found (fun (x1:(((P1 b)->(P1 n_1))->False))=> x00) as proof of ((((P1 b)->(P1 n_1))->False)->False)
% 169.85/170.14 Found x00:False
% 169.85/170.14 Found (fun (x2:(((eq nat) b) ((pl n_1) Xx_0)))=> x00) as proof of False
% 169.85/170.14 Found (fun (x2:(((eq nat) b) ((pl n_1) Xx_0)))=> x00) as proof of (not (((eq nat) b) ((pl n_1) Xx_0)))
% 169.85/170.14 Found x00:((((eq nat) x) n_1)->False)
% 169.85/170.14 Instantiate: Xx0:=x:nat
% 169.85/170.14 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 169.85/170.14 Found x00:((((eq nat) x) n_1)->False)
% 169.85/170.14 Instantiate: Xx:=x:nat
% 169.85/170.14 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 169.85/170.14 Found x01:False
% 169.85/170.14 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x01) as proof of False
% 169.85/170.14 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x01) as proof of ((((P1 n_1)->(P1 b))->False)->False)
% 169.85/170.14 Found (et0 (fun (x1:(((P1 n_1)->(P1 b))->False))=> x01)) as proof of ((P1 n_1)->(P1 b))
% 169.85/170.14 Found ((et ((P1 n_1)->(P1 b))) (fun (x1:(((P1 n_1)->(P1 b))->False))=> x01)) as proof of ((P1 n_1)->(P1 b))
% 169.85/170.14 Found ((et ((P1 n_1)->(P1 b))) (fun (x1:(((P1 n_1)->(P1 b))->False))=> x01)) as proof of ((P1 n_1)->(P1 b))
% 169.85/170.14 Found x00:((((eq nat) x) n_1)->False)
% 169.85/170.14 Instantiate: Xx0:=x:nat
% 169.85/170.14 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 169.85/170.14 Found x00:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False)
% 169.85/170.14 Instantiate: Xx:=x:nat
% 169.85/170.14 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 169.85/170.14 Found x00:False
% 169.85/170.14 Found (fun (x1:(((P0 n_1)->(P0 b))->False))=> x00) as proof of False
% 169.85/170.14 Found (fun (x1:(((P0 n_1)->(P0 b))->False))=> x00) as proof of ((((P0 n_1)->(P0 b))->False)->False)
% 169.85/170.14 Found eq_ref00:=(eq_ref0 b0):(((eq nat) b0) b0)
% 169.85/170.14 Found (eq_ref0 b0) as proof of (((eq nat) b0) n_1)
% 169.85/170.14 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) n_1)
% 169.85/170.14 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) n_1)
% 169.85/170.14 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) n_1)
% 169.85/170.14 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 169.85/170.14 Found (eq_ref0 b) as proof of (((eq nat) b) b0)
% 169.85/170.14 Found ((eq_ref nat) b) as proof of (((eq nat) b) b0)
% 169.85/170.14 Found ((eq_ref nat) b) as proof of (((eq nat) b) b0)
% 169.85/170.14 Found ((eq_ref nat) b) as proof of (((eq nat) b) b0)
% 169.85/170.14 Found x00:((((eq nat) x) n_1)->False)
% 169.85/170.14 Instantiate: Xx0:=x:nat
% 169.85/170.14 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 169.85/170.14 Found x00:False
% 169.85/170.14 Found (fun (x2:((P1 n_1)->False))=> x00) as proof of False
% 169.85/170.14 Found (fun (x2:((P1 n_1)->False))=> x00) as proof of (((P1 n_1)->False)->False)
% 169.85/170.14 Found x00:False
% 169.85/170.14 Found (fun (x2:((P1 n_1)->False))=> x00) as proof of False
% 169.85/170.14 Found (fun (x2:((P1 n_1)->False))=> x00) as proof of (((P1 n_1)->False)->False)
% 169.85/170.14 Found x00:((((eq nat) x) n_1)->False)
% 169.85/170.14 Instantiate: Xx0:=x:nat
% 169.85/170.14 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 169.85/170.14 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 169.85/170.14 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 169.85/170.14 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 169.85/170.14 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 169.85/170.14 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 169.85/170.14 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 169.85/170.14 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 169.85/170.14 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 169.85/170.14 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 169.85/170.14 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 169.85/170.14 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 169.85/170.14 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 169.85/170.14 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 169.85/170.14 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 169.85/170.14 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 169.85/170.14 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 169.85/170.14 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 169.85/170.14 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 169.85/170.14 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 169.85/170.14 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 169.85/170.14 Found x1:((((eq nat) b) n_1)->False)
% 169.85/170.14 Found x1 as proof of (not (((eq nat) b) n_1))
% 169.85/170.14 Found x01:False
% 169.85/170.14 Found (fun (x2:((P1 b)->False))=> x01) as proof of False
% 169.85/170.14 Found (fun (x2:((P1 b)->False))=> x01) as proof of (((P1 b)->False)->False)
% 169.85/170.14 Found (et0 (fun (x2:((P1 b)->False))=> x01)) as proof of (P1 b)
% 169.85/170.14 Found ((et (P1 b)) (fun (x2:((P1 b)->False))=> x01)) as proof of (P1 b)
% 169.85/170.14 Found ((et (P1 b)) (fun (x2:((P1 b)->False))=> x01)) as proof of (P1 b)
% 169.85/170.14 Found x00:False
% 169.85/170.14 Found (fun (x2:((P0 b)->False))=> x00) as proof of False
% 169.85/170.14 Found (fun (x2:((P0 b)->False))=> x00) as proof of (((P0 b)->False)->False)
% 169.85/170.14 Found x00:((((eq nat) x) n_1)->False)
% 169.85/170.14 Instantiate: Xx0:=x:nat
% 169.85/170.14 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 184.85/185.14 Found x00:False
% 184.85/185.14 Found (fun (x2:(((eq nat) b) ((pl n_1) Xx_0)))=> x00) as proof of False
% 184.85/185.14 Found (fun (x2:(((eq nat) b) ((pl n_1) Xx_0)))=> x00) as proof of (not (((eq nat) b) ((pl n_1) Xx_0)))
% 184.85/185.14 Found x00:((((eq nat) x) n_1)->False)
% 184.85/185.14 Instantiate: Xx0:=x:nat
% 184.85/185.14 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 184.85/185.14 Found x00:False
% 184.85/185.14 Found (fun (x01:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False))=> x00) as proof of False
% 184.85/185.14 Found (fun (x01:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False))=> x00) as proof of (((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False)->False)
% 184.85/185.14 Found (et0 (fun (x01:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False))=> x00)) as proof of (forall (P:(nat->Prop)), ((P x)->(P n_1)))
% 184.85/185.14 Found ((et (forall (P:(nat->Prop)), ((P x)->(P n_1)))) (fun (x01:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False))=> x00)) as proof of (forall (P:(nat->Prop)), ((P x)->(P n_1)))
% 184.85/185.14 Found ((et (forall (P:(nat->Prop)), ((P x)->(P n_1)))) (fun (x01:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False))=> x00)) as proof of (forall (P:(nat->Prop)), ((P x)->(P n_1)))
% 184.85/185.14 Found x01:False
% 184.85/185.14 Found (fun (x02:((((eq nat) x) b)->False))=> x01) as proof of False
% 184.85/185.14 Found (fun (x02:((((eq nat) x) b)->False))=> x01) as proof of (((((eq nat) x) b)->False)->False)
% 184.85/185.14 Found x01:False
% 184.85/185.14 Found (fun (x1:((((eq nat) b) n_1)->False))=> x01) as proof of False
% 184.85/185.14 Found (fun (x1:((((eq nat) b) n_1)->False))=> x01) as proof of (((((eq nat) b) n_1)->False)->False)
% 184.85/185.14 Found x00:False
% 184.85/185.14 Found (fun (x01:(((P x)->(P n_1))->False))=> x00) as proof of False
% 184.85/185.14 Found (fun (x01:(((P x)->(P n_1))->False))=> x00) as proof of ((((P x)->(P n_1))->False)->False)
% 184.85/185.14 Found (et0 (fun (x01:(((P x)->(P n_1))->False))=> x00)) as proof of ((P x)->(P n_1))
% 184.85/185.14 Found ((et ((P x)->(P n_1))) (fun (x01:(((P x)->(P n_1))->False))=> x00)) as proof of ((P x)->(P n_1))
% 184.85/185.14 Found ((et ((P x)->(P n_1))) (fun (x01:(((P x)->(P n_1))->False))=> x00)) as proof of ((P x)->(P n_1))
% 184.85/185.14 Found x00:False
% 184.85/185.14 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of False
% 184.85/185.14 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of (((((eq nat) b) n_1)->False)->False)
% 184.85/185.14 Found (et0 (fun (x1:((((eq nat) b) n_1)->False))=> x00)) as proof of (((eq nat) b) n_1)
% 184.85/185.14 Found ((et (((eq nat) b) n_1)) (fun (x1:((((eq nat) b) n_1)->False))=> x00)) as proof of (((eq nat) b) n_1)
% 184.85/185.14 Found ((et (((eq nat) b) n_1)) (fun (x1:((((eq nat) b) n_1)->False))=> x00)) as proof of (((eq nat) b) n_1)
% 184.85/185.14 Found x00:False
% 184.85/185.14 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of False
% 184.85/185.14 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of (((((eq nat) b) n_1)->False)->False)
% 184.85/185.14 Found (et0 (fun (x1:((((eq nat) b) n_1)->False))=> x00)) as proof of (((eq nat) b) n_1)
% 184.85/185.14 Found ((et (((eq nat) b) n_1)) (fun (x1:((((eq nat) b) n_1)->False))=> x00)) as proof of (((eq nat) b) n_1)
% 184.85/185.14 Found ((et (((eq nat) b) n_1)) (fun (x1:((((eq nat) b) n_1)->False))=> x00)) as proof of (((eq nat) b) n_1)
% 184.85/185.14 Found eq_ref00:=(eq_ref0 b0):(((eq nat) b0) b0)
% 184.85/185.14 Found (eq_ref0 b0) as proof of (((eq nat) b0) b)
% 184.85/185.14 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) b)
% 184.85/185.14 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) b)
% 184.85/185.14 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) b)
% 184.85/185.14 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 184.85/185.14 Found (eq_ref0 x) as proof of (((eq nat) x) b0)
% 184.85/185.14 Found ((eq_ref nat) x) as proof of (((eq nat) x) b0)
% 184.85/185.14 Found ((eq_ref nat) x) as proof of (((eq nat) x) b0)
% 184.85/185.14 Found ((eq_ref nat) x) as proof of (((eq nat) x) b0)
% 184.85/185.14 Found x01:False
% 184.85/185.14 Found (fun (x1:((P n_1)->False))=> x01) as proof of False
% 184.85/185.14 Found (fun (x1:((P n_1)->False))=> x01) as proof of (((P n_1)->False)->False)
% 184.85/185.14 Found (et0 (fun (x1:((P n_1)->False))=> x01)) as proof of (P n_1)
% 184.85/185.14 Found ((et (P n_1)) (fun (x1:((P n_1)->False))=> x01)) as proof of (P n_1)
% 184.85/185.14 Found ((et (P n_1)) (fun (x1:((P n_1)->False))=> x01)) as proof of (P n_1)
% 184.85/185.14 Found x00:False
% 184.85/185.14 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 184.85/185.14 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 184.85/185.14 Found (et0 (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 184.85/185.14 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 195.99/196.32 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 195.99/196.32 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 195.99/196.32 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 195.99/196.32 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 195.99/196.32 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 195.99/196.32 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 195.99/196.32 Found x00:False
% 195.99/196.32 Found (fun (x1:(((P1 b)->(P1 n_1))->False))=> x00) as proof of False
% 195.99/196.32 Found (fun (x1:(((P1 b)->(P1 n_1))->False))=> x00) as proof of ((((P1 b)->(P1 n_1))->False)->False)
% 195.99/196.32 Found (et0 (fun (x1:(((P1 b)->(P1 n_1))->False))=> x00)) as proof of ((P1 b)->(P1 n_1))
% 195.99/196.32 Found ((et ((P1 b)->(P1 n_1))) (fun (x1:(((P1 b)->(P1 n_1))->False))=> x00)) as proof of ((P1 b)->(P1 n_1))
% 195.99/196.32 Found ((et ((P1 b)->(P1 n_1))) (fun (x1:(((P1 b)->(P1 n_1))->False))=> x00)) as proof of ((P1 b)->(P1 n_1))
% 195.99/196.32 Found x01:False
% 195.99/196.32 Found (fun (x02:(((P1 x)->(P1 b))->False))=> x01) as proof of False
% 195.99/196.32 Found (fun (x02:(((P1 x)->(P1 b))->False))=> x01) as proof of ((((P1 x)->(P1 b))->False)->False)
% 195.99/196.32 Found x00:False
% 195.99/196.32 Found (fun (x1:(((P1 b)->(P1 n_1))->False))=> x00) as proof of False
% 195.99/196.32 Found (fun (x1:(((P1 b)->(P1 n_1))->False))=> x00) as proof of ((((P1 b)->(P1 n_1))->False)->False)
% 195.99/196.32 Found (et0 (fun (x1:(((P1 b)->(P1 n_1))->False))=> x00)) as proof of ((P1 b)->(P1 n_1))
% 195.99/196.32 Found ((et ((P1 b)->(P1 n_1))) (fun (x1:(((P1 b)->(P1 n_1))->False))=> x00)) as proof of ((P1 b)->(P1 n_1))
% 195.99/196.32 Found ((et ((P1 b)->(P1 n_1))) (fun (x1:(((P1 b)->(P1 n_1))->False))=> x00)) as proof of ((P1 b)->(P1 n_1))
% 195.99/196.32 Found x01:False
% 195.99/196.32 Found (fun (x1:(((P1 b)->(P1 n_1))->False))=> x01) as proof of False
% 195.99/196.32 Found (fun (x1:(((P1 b)->(P1 n_1))->False))=> x01) as proof of ((((P1 b)->(P1 n_1))->False)->False)
% 195.99/196.32 Found x00:False
% 195.99/196.32 Found (fun (x1:(((P0 n_1)->(P0 b))->False))=> x00) as proof of False
% 195.99/196.32 Found (fun (x1:(((P0 n_1)->(P0 b))->False))=> x00) as proof of ((((P0 n_1)->(P0 b))->False)->False)
% 195.99/196.32 Found (et0 (fun (x1:(((P0 n_1)->(P0 b))->False))=> x00)) as proof of ((P0 n_1)->(P0 b))
% 195.99/196.32 Found ((et ((P0 n_1)->(P0 b))) (fun (x1:(((P0 n_1)->(P0 b))->False))=> x00)) as proof of ((P0 n_1)->(P0 b))
% 195.99/196.32 Found ((et ((P0 n_1)->(P0 b))) (fun (x1:(((P0 n_1)->(P0 b))->False))=> x00)) as proof of ((P0 n_1)->(P0 b))
% 195.99/196.32 Found x01:False
% 195.99/196.32 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of False
% 195.99/196.32 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of (not (((eq nat) Xx) n_1))
% 195.99/196.32 Found x01:False
% 195.99/196.32 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of False
% 195.99/196.32 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of (not (((eq nat) Xx) n_1))
% 195.99/196.32 Found x02:False
% 195.99/196.32 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of False
% 195.99/196.32 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of (not (((eq nat) Xx) ((pl n_1) Xx_00)))
% 195.99/196.32 Found x00:False
% 195.99/196.32 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of False
% 195.99/196.32 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (not (((eq nat) b) (suc Xx_0)))
% 195.99/196.32 Found x00:False
% 195.99/196.32 Found (fun (x2:((P1 n_1)->False))=> x00) as proof of False
% 195.99/196.32 Found (fun (x2:((P1 n_1)->False))=> x00) as proof of (((P1 n_1)->False)->False)
% 195.99/196.32 Found (et0 (fun (x2:((P1 n_1)->False))=> x00)) as proof of (P1 n_1)
% 195.99/196.32 Found ((et (P1 n_1)) (fun (x2:((P1 n_1)->False))=> x00)) as proof of (P1 n_1)
% 195.99/196.32 Found ((et (P1 n_1)) (fun (x2:((P1 n_1)->False))=> x00)) as proof of (P1 n_1)
% 195.99/196.32 Found x00:False
% 195.99/196.32 Found (fun (x2:((P1 n_1)->False))=> x00) as proof of False
% 195.99/196.32 Found (fun (x2:((P1 n_1)->False))=> x00) as proof of (((P1 n_1)->False)->False)
% 195.99/196.32 Found (et0 (fun (x2:((P1 n_1)->False))=> x00)) as proof of (P1 n_1)
% 195.99/196.32 Found ((et (P1 n_1)) (fun (x2:((P1 n_1)->False))=> x00)) as proof of (P1 n_1)
% 195.99/196.32 Found ((et (P1 n_1)) (fun (x2:((P1 n_1)->False))=> x00)) as proof of (P1 n_1)
% 195.99/196.32 Found x02:False
% 195.99/196.32 Found (fun (x1:((P1 b)->False))=> x02) as proof of False
% 195.99/196.32 Found (fun (x1:((P1 b)->False))=> x02) as proof of (((P1 b)->False)->False)
% 195.99/196.32 Found x00:False
% 195.99/196.32 Found (fun (x1:((((eq nat) b0) n_1)->False))=> x00) as proof of False
% 195.99/196.32 Found (fun (x1:((((eq nat) b0) n_1)->False))=> x00) as proof of (((((eq nat) b0) n_1)->False)->False)
% 195.99/196.32 Found x01:False
% 195.99/196.32 Found (fun (x2:((P1 n_1)->False))=> x01) as proof of False
% 206.80/207.12 Found (fun (x2:((P1 n_1)->False))=> x01) as proof of (((P1 n_1)->False)->False)
% 206.80/207.12 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 206.80/207.12 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 206.80/207.12 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 206.80/207.12 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 206.80/207.12 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 206.80/207.12 Found x00:False
% 206.80/207.12 Found (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00) as proof of False
% 206.80/207.12 Found (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00) as proof of (((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False)->False)
% 206.80/207.12 Found x01:False
% 206.80/207.12 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of False
% 206.80/207.12 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of (not (((eq nat) Xx) n_1))
% 206.80/207.12 Found x01:False
% 206.80/207.12 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of False
% 206.80/207.12 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of (not (((eq nat) Xx) n_1))
% 206.80/207.12 Found x00:False
% 206.80/207.12 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of False
% 206.80/207.12 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of (((((eq nat) n_1) x)->False)->False)
% 206.80/207.12 Found x1:((forall (P:(nat->Prop)), ((P b)->(P n_1)))->False)
% 206.80/207.12 Found x1 as proof of (not (((eq nat) b) n_1))
% 206.80/207.12 Found x1:((((eq nat) b) n_1)->False)
% 206.80/207.12 Found x1 as proof of (not (((eq nat) b) n_1))
% 206.80/207.12 Found x02:False
% 206.80/207.12 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of False
% 206.80/207.12 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of (not (((eq nat) Xx) ((pl n_1) Xx_00)))
% 206.80/207.12 Found x00:False
% 206.80/207.12 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of False
% 206.80/207.12 Found (fun (Xx_0:nat) (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (not (((eq nat) b) (suc Xx_0)))
% 206.80/207.12 Found (fun (Xx_0:nat) (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (forall (Xx_0:nat), (not (((eq nat) b) (suc Xx_0))))
% 206.80/207.12 Found x00:False
% 206.80/207.12 Found (fun (x2:((P0 b)->False))=> x00) as proof of False
% 206.80/207.12 Found (fun (x2:((P0 b)->False))=> x00) as proof of (((P0 b)->False)->False)
% 206.80/207.12 Found (et0 (fun (x2:((P0 b)->False))=> x00)) as proof of (P0 b)
% 206.80/207.12 Found ((et (P0 b)) (fun (x2:((P0 b)->False))=> x00)) as proof of (P0 b)
% 206.80/207.12 Found ((et (P0 b)) (fun (x2:((P0 b)->False))=> x00)) as proof of (P0 b)
% 206.80/207.12 Found x1:((((eq nat) b) n_1)->False)
% 206.80/207.12 Instantiate: Xx:=b:nat
% 206.80/207.12 Found x1 as proof of (not (((eq nat) Xx) n_1))
% 206.80/207.12 Found x00:False
% 206.80/207.12 Found (fun (x1:(((P b0)->(P n_1))->False))=> x00) as proof of False
% 206.80/207.12 Found (fun (x1:(((P b0)->(P n_1))->False))=> x00) as proof of ((((P b0)->(P n_1))->False)->False)
% 206.80/207.12 Found x00:False
% 206.80/207.12 Found (fun (x01:(((P n_1)->(P x))->False))=> x00) as proof of False
% 206.80/207.12 Found (fun (x01:(((P n_1)->(P x))->False))=> x00) as proof of ((((P n_1)->(P x))->False)->False)
% 206.80/207.12 Found x00:False
% 206.80/207.12 Found (fun (x01:(((P n_1)->(P x))->False))=> x00) as proof of False
% 206.80/207.12 Found (fun (x01:(((P n_1)->(P x))->False))=> x00) as proof of ((((P n_1)->(P x))->False)->False)
% 206.80/207.12 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 206.80/207.12 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 206.80/207.12 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 206.80/207.12 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 206.80/207.12 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 206.80/207.12 Found x02:False
% 206.80/207.12 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of False
% 206.80/207.12 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of (not (((eq nat) Xx) ((pl n_1) Xx_00)))
% 206.80/207.12 Found x02:False
% 206.80/207.12 Found (fun (x1:(((eq nat) Xx) n_1))=> x02) as proof of False
% 206.80/207.12 Found (fun (x1:(((eq nat) Xx) n_1))=> x02) as proof of (not (((eq nat) Xx) n_1))
% 206.80/207.12 Found x02:False
% 206.80/207.12 Found (fun (x1:(((eq nat) Xx) n_1))=> x02) as proof of False
% 206.80/207.12 Found (fun (x1:(((eq nat) Xx) n_1))=> x02) as proof of (not (((eq nat) Xx) n_1))
% 206.80/207.12 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 206.80/207.12 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 206.80/207.12 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 206.80/207.12 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 206.80/207.12 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 206.80/207.12 Found x01:False
% 206.80/207.12 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 206.80/207.12 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 206.80/207.12 Found x01:False
% 215.57/215.85 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 215.57/215.85 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 215.57/215.85 Found x00:False
% 215.57/215.85 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of False
% 215.57/215.85 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (not (((eq nat) b) (suc Xx_0)))
% 215.57/215.85 Found x01:False
% 215.57/215.85 Found (fun (x02:((((eq nat) x) b)->False))=> x01) as proof of False
% 215.57/215.85 Found (fun (x02:((((eq nat) x) b)->False))=> x01) as proof of (((((eq nat) x) b)->False)->False)
% 215.57/215.85 Found (et0 (fun (x02:((((eq nat) x) b)->False))=> x01)) as proof of (((eq nat) x) b)
% 215.57/215.85 Found ((et (((eq nat) x) b)) (fun (x02:((((eq nat) x) b)->False))=> x01)) as proof of (((eq nat) x) b)
% 215.57/215.85 Found ((et (((eq nat) x) b)) (fun (x02:((((eq nat) x) b)->False))=> x01)) as proof of (((eq nat) x) b)
% 215.57/215.85 Found x01:False
% 215.57/215.85 Found (fun (x1:((((eq nat) b) n_1)->False))=> x01) as proof of False
% 215.57/215.85 Found (fun (x1:((((eq nat) b) n_1)->False))=> x01) as proof of (((((eq nat) b) n_1)->False)->False)
% 215.57/215.85 Found (et0 (fun (x1:((((eq nat) b) n_1)->False))=> x01)) as proof of (((eq nat) b) n_1)
% 215.57/215.85 Found ((et (((eq nat) b) n_1)) (fun (x1:((((eq nat) b) n_1)->False))=> x01)) as proof of (((eq nat) b) n_1)
% 215.57/215.85 Found ((et (((eq nat) b) n_1)) (fun (x1:((((eq nat) b) n_1)->False))=> x01)) as proof of (((eq nat) b) n_1)
% 215.57/215.85 Found x00:False
% 215.57/215.85 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of False
% 215.57/215.85 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of (((((eq nat) b) n_1)->False)->False)
% 215.57/215.85 Found x01:False
% 215.57/215.85 Found (fun (x02:((P x)->False))=> x01) as proof of False
% 215.57/215.85 Found (fun (x02:((P x)->False))=> x01) as proof of (((P x)->False)->False)
% 215.57/215.85 Found x01:False
% 215.57/215.85 Found (fun (x02:((P x)->False))=> x01) as proof of False
% 215.57/215.85 Found (fun (x02:((P x)->False))=> x01) as proof of (((P x)->False)->False)
% 215.57/215.85 Found x00:False
% 215.57/215.85 Found (fun (x2:((P n_1)->False))=> x00) as proof of False
% 215.57/215.85 Found (fun (x2:((P n_1)->False))=> x00) as proof of (((P n_1)->False)->False)
% 215.57/215.85 Found x02:False
% 215.57/215.85 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of False
% 215.57/215.85 Found (fun (x1:(((eq nat) Xx) ((pl n_1) Xx_00)))=> x02) as proof of (not (((eq nat) Xx) ((pl n_1) Xx_00)))
% 215.57/215.85 Found x00:False
% 215.57/215.85 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of False
% 215.57/215.85 Found (fun (Xx_0:nat) (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (not (((eq nat) b) (suc Xx_0)))
% 215.57/215.85 Found (fun (Xx_0:nat) (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (forall (Xx_0:nat), (not (((eq nat) b) (suc Xx_0))))
% 215.57/215.85 Found x00:False
% 215.57/215.85 Found (fun (x2:(((eq nat) Xx) n_1))=> x00) as proof of False
% 215.57/215.85 Found (fun (x2:(((eq nat) Xx) n_1))=> x00) as proof of (not (((eq nat) Xx) n_1))
% 215.57/215.85 Found x1:((((eq nat) b) n_1)->False)
% 215.57/215.85 Instantiate: Xx:=b:nat
% 215.57/215.85 Found x1 as proof of (not (((eq nat) Xx) n_1))
% 215.57/215.85 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 215.57/215.85 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 215.57/215.85 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 215.57/215.85 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 215.57/215.85 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 215.57/215.85 Found x01:False
% 215.57/215.85 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 215.57/215.85 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 215.57/215.85 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 215.57/215.85 Found x01:False
% 215.57/215.85 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 215.57/215.85 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 215.57/215.85 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 215.57/215.85 Found x01:False
% 215.57/215.85 Found (fun (x02:(((P1 x)->(P1 b))->False))=> x01) as proof of False
% 215.57/215.85 Found (fun (x02:(((P1 x)->(P1 b))->False))=> x01) as proof of ((((P1 x)->(P1 b))->False)->False)
% 215.57/215.85 Found (et0 (fun (x02:(((P1 x)->(P1 b))->False))=> x01)) as proof of ((P1 x)->(P1 b))
% 215.57/215.85 Found ((et ((P1 x)->(P1 b))) (fun (x02:(((P1 x)->(P1 b))->False))=> x01)) as proof of ((P1 x)->(P1 b))
% 215.57/215.85 Found ((et ((P1 x)->(P1 b))) (fun (x02:(((P1 x)->(P1 b))->False))=> x01)) as proof of ((P1 x)->(P1 b))
% 215.57/215.85 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 220.30/220.60 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 220.30/220.60 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 220.30/220.60 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 220.30/220.60 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 220.30/220.60 Found x01:False
% 220.30/220.60 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 220.30/220.60 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 220.30/220.60 Found x01:False
% 220.30/220.60 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 220.30/220.60 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 220.30/220.60 Found x02:False
% 220.30/220.60 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 220.30/220.60 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 220.30/220.60 Found x01:False
% 220.30/220.60 Found (fun (x1:(((P1 b)->(P1 n_1))->False))=> x01) as proof of False
% 220.30/220.60 Found (fun (x1:(((P1 b)->(P1 n_1))->False))=> x01) as proof of ((((P1 b)->(P1 n_1))->False)->False)
% 220.30/220.60 Found (et0 (fun (x1:(((P1 b)->(P1 n_1))->False))=> x01)) as proof of ((P1 b)->(P1 n_1))
% 220.30/220.60 Found ((et ((P1 b)->(P1 n_1))) (fun (x1:(((P1 b)->(P1 n_1))->False))=> x01)) as proof of ((P1 b)->(P1 n_1))
% 220.30/220.60 Found ((et ((P1 b)->(P1 n_1))) (fun (x1:(((P1 b)->(P1 n_1))->False))=> x01)) as proof of ((P1 b)->(P1 n_1))
% 220.30/220.60 Found x00:False
% 220.30/220.60 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 220.30/220.60 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 220.30/220.60 Found x00:False
% 220.30/220.60 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 220.30/220.60 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 220.30/220.60 Found x00:False
% 220.30/220.60 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 220.30/220.60 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 220.30/220.60 Found x00:False
% 220.30/220.60 Found (fun (x01:((((eq nat) b) x)->False))=> x00) as proof of False
% 220.30/220.60 Found (fun (x01:((((eq nat) b) x)->False))=> x00) as proof of (((((eq nat) b) x)->False)->False)
% 220.30/220.60 Found x00:False
% 220.30/220.60 Found (fun (x01:((((eq nat) b) x)->False))=> x00) as proof of False
% 220.30/220.60 Found (fun (x01:((((eq nat) b) x)->False))=> x00) as proof of (((((eq nat) b) x)->False)->False)
% 220.30/220.60 Found x00:False
% 220.30/220.60 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 220.30/220.60 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 220.30/220.60 Found x00:False
% 220.30/220.60 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 220.30/220.60 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 220.30/220.60 Found x00:False
% 220.30/220.60 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 220.30/220.60 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 220.30/220.60 Found x1:((((eq nat) b) n_1)->False)
% 220.30/220.60 Found x1 as proof of (not (((eq nat) b) n_1))
% 220.30/220.60 Found x1:((((eq nat) b) n_1)->False)
% 220.30/220.60 Found x1 as proof of (not (((eq nat) b) n_1))
% 220.30/220.60 Found x1:((((eq nat) b) n_1)->False)
% 220.30/220.60 Found x1 as proof of (not (((eq nat) b) n_1))
% 220.30/220.60 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 220.30/220.60 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 220.30/220.60 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 220.30/220.60 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 220.30/220.60 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 220.30/220.60 Found x00:((((eq nat) x) b)->False)
% 220.30/220.60 Found x00 as proof of (not (((eq nat) x) n_1))
% 220.30/220.60 Found x00:((((eq nat) x) b)->False)
% 220.30/220.60 Found x00 as proof of (not (((eq nat) x) n_1))
% 220.30/220.60 Found x1:((((eq nat) b) n_1)->False)
% 220.30/220.60 Found x1 as proof of (not (((eq nat) b) n_1))
% 220.30/220.60 Found x00:False
% 220.30/220.60 Found (fun (x1:(((P0 b)->(P0 n_1))->False))=> x00) as proof of False
% 220.30/220.60 Found (fun (x1:(((P0 b)->(P0 n_1))->False))=> x00) as proof of ((((P0 b)->(P0 n_1))->False)->False)
% 220.30/220.60 Found x1:((forall (P:(nat->Prop)), ((P b)->(P n_1)))->False)
% 220.30/220.60 Found x1 as proof of (not (((eq nat) b) n_1))
% 220.30/220.60 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 220.30/220.60 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 220.30/220.60 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 220.30/220.60 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 220.30/220.60 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 227.26/227.55 Found x1:((((eq nat) b) n_1)->False)
% 227.26/227.55 Found x1 as proof of (not (((eq nat) b) n_1))
% 227.26/227.55 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 227.26/227.55 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 227.26/227.55 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 227.26/227.55 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 227.26/227.55 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 227.26/227.55 Found x02:False
% 227.26/227.55 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 227.26/227.55 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 227.26/227.55 Found x00:False
% 227.26/227.55 Found (fun (x3:(((eq nat) Xx) n_1))=> x00) as proof of False
% 227.26/227.55 Found (fun (x3:(((eq nat) Xx) n_1))=> x00) as proof of (not (((eq nat) Xx) n_1))
% 227.26/227.55 Found x02:False
% 227.26/227.55 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 227.26/227.55 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 227.26/227.55 Found x1:((((eq nat) b) n_1)->False)
% 227.26/227.55 Instantiate: Xx:=b:nat
% 227.26/227.55 Found x1 as proof of (not (((eq nat) Xx) n_1))
% 227.26/227.55 Found x01:False
% 227.26/227.55 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 227.26/227.55 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 227.26/227.55 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 227.26/227.55 Found x01:False
% 227.26/227.55 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 227.26/227.55 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 227.26/227.55 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 227.26/227.55 Found x02:False
% 227.26/227.55 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x02) as proof of False
% 227.26/227.55 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 227.26/227.55 Found x02:False
% 227.26/227.55 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x02) as proof of False
% 227.26/227.55 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 227.26/227.55 Found x00:False
% 227.26/227.55 Found (fun (x01:(((P1 b)->(P1 x))->False))=> x00) as proof of False
% 227.26/227.55 Found (fun (x01:(((P1 b)->(P1 x))->False))=> x00) as proof of ((((P1 b)->(P1 x))->False)->False)
% 227.26/227.55 Found x00:False
% 227.26/227.55 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of False
% 227.26/227.55 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of ((((P1 n_1)->(P1 b))->False)->False)
% 227.26/227.55 Found x00:False
% 227.26/227.55 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of False
% 227.26/227.55 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of ((((P1 n_1)->(P1 b))->False)->False)
% 227.26/227.55 Found x00:False
% 227.26/227.55 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of False
% 227.26/227.55 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of ((((P1 n_1)->(P1 b))->False)->False)
% 227.26/227.55 Found x02:False
% 227.26/227.55 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 227.26/227.55 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 227.26/227.55 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx0) (suc Xx_0))))
% 227.26/227.55 Found x00:False
% 227.26/227.55 Found (fun (x01:(((P1 b)->(P1 x))->False))=> x00) as proof of False
% 227.26/227.55 Found (fun (x01:(((P1 b)->(P1 x))->False))=> x00) as proof of ((((P1 b)->(P1 x))->False)->False)
% 227.26/227.55 Found x00:False
% 227.26/227.55 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of False
% 227.26/227.55 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of ((((P1 n_1)->(P1 b))->False)->False)
% 227.26/227.55 Found x00:False
% 227.26/227.55 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of False
% 227.26/227.55 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of ((((P1 n_1)->(P1 b))->False)->False)
% 227.26/227.55 Found x00:False
% 227.26/227.55 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of False
% 227.26/227.55 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of ((((P1 n_1)->(P1 b))->False)->False)
% 227.26/227.55 Found x01:False
% 227.26/227.55 Found (fun (x2:(((eq nat) Xx0) n_1))=> x01) as proof of False
% 227.26/227.55 Found (fun (x2:(((eq nat) Xx0) n_1))=> x01) as proof of (not (((eq nat) Xx0) n_1))
% 227.26/227.55 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 227.26/227.55 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 227.26/227.55 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 233.34/233.65 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 233.34/233.65 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 233.34/233.65 Found x02:False
% 233.34/233.65 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 233.34/233.65 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 233.34/233.65 Found x02:False
% 233.34/233.65 Found (fun (x1:((P1 b)->False))=> x02) as proof of False
% 233.34/233.65 Found (fun (x1:((P1 b)->False))=> x02) as proof of (((P1 b)->False)->False)
% 233.34/233.65 Found (et0 (fun (x1:((P1 b)->False))=> x02)) as proof of (P1 b)
% 233.34/233.65 Found ((et (P1 b)) (fun (x1:((P1 b)->False))=> x02)) as proof of (P1 b)
% 233.34/233.65 Found ((et (P1 b)) (fun (x1:((P1 b)->False))=> x02)) as proof of (P1 b)
% 233.34/233.65 Found x00:False
% 233.34/233.65 Found (fun (x1:((((eq nat) b0) n_1)->False))=> x00) as proof of False
% 233.34/233.65 Found (fun (x1:((((eq nat) b0) n_1)->False))=> x00) as proof of (((((eq nat) b0) n_1)->False)->False)
% 233.34/233.65 Found (et0 (fun (x1:((((eq nat) b0) n_1)->False))=> x00)) as proof of (((eq nat) b0) n_1)
% 233.34/233.65 Found ((et (((eq nat) b0) n_1)) (fun (x1:((((eq nat) b0) n_1)->False))=> x00)) as proof of (((eq nat) b0) n_1)
% 233.34/233.65 Found ((et (((eq nat) b0) n_1)) (fun (x1:((((eq nat) b0) n_1)->False))=> x00)) as proof of (((eq nat) b0) n_1)
% 233.34/233.65 Found x01:False
% 233.34/233.65 Found (fun (x2:((P1 n_1)->False))=> x01) as proof of False
% 233.34/233.65 Found (fun (x2:((P1 n_1)->False))=> x01) as proof of (((P1 n_1)->False)->False)
% 233.34/233.65 Found (et0 (fun (x2:((P1 n_1)->False))=> x01)) as proof of (P1 n_1)
% 233.34/233.65 Found ((et (P1 n_1)) (fun (x2:((P1 n_1)->False))=> x01)) as proof of (P1 n_1)
% 233.34/233.65 Found ((et (P1 n_1)) (fun (x2:((P1 n_1)->False))=> x01)) as proof of (P1 n_1)
% 233.34/233.65 Found x00:False
% 233.34/233.65 Found (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00) as proof of False
% 233.34/233.65 Found (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00) as proof of (((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False)->False)
% 233.34/233.65 Found (et0 (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00)) as proof of (forall (P:(nat->Prop)), ((P n_1)->(P x)))
% 233.34/233.65 Found ((et (forall (P:(nat->Prop)), ((P n_1)->(P x)))) (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00)) as proof of (forall (P:(nat->Prop)), ((P n_1)->(P x)))
% 233.34/233.65 Found ((et (forall (P:(nat->Prop)), ((P n_1)->(P x)))) (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00)) as proof of (forall (P:(nat->Prop)), ((P n_1)->(P x)))
% 233.34/233.65 Found x00:((((eq nat) x) n_1)->False)
% 233.34/233.65 Instantiate: Xx:=x:nat
% 233.34/233.65 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 233.34/233.65 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 233.34/233.65 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 233.34/233.65 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 233.34/233.65 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 233.34/233.65 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 233.34/233.65 Found x02:False
% 233.34/233.65 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 233.34/233.65 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 233.34/233.65 Found x00:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False)
% 233.34/233.65 Instantiate: Xx:=x:nat
% 233.34/233.65 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 233.34/233.65 Found x00:False
% 233.34/233.65 Found (fun (x2:((P0 n_1)->False))=> x00) as proof of False
% 233.34/233.65 Found (fun (x2:((P0 n_1)->False))=> x00) as proof of (((P0 n_1)->False)->False)
% 233.34/233.65 Found x00:False
% 233.34/233.65 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of False
% 233.34/233.65 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of (((((eq nat) n_1) x)->False)->False)
% 233.34/233.65 Found (et0 (fun (x01:((((eq nat) n_1) x)->False))=> x00)) as proof of (((eq nat) n_1) x)
% 233.34/233.65 Found ((et (((eq nat) n_1) x)) (fun (x01:((((eq nat) n_1) x)->False))=> x00)) as proof of (((eq nat) n_1) x)
% 233.34/233.65 Found ((et (((eq nat) n_1) x)) (fun (x01:((((eq nat) n_1) x)->False))=> x00)) as proof of (((eq nat) n_1) x)
% 233.34/233.65 Found x00:False
% 233.34/233.65 Found (fun (x2:(((eq nat) Xx) (suc Xx_0)))=> x00) as proof of False
% 233.34/233.65 Found (fun (x2:(((eq nat) Xx) (suc Xx_0)))=> x00) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 233.34/233.65 Found x02:False
% 233.34/233.65 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 233.34/233.65 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 233.34/233.65 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx0) (suc Xx_0))))
% 239.44/239.74 Found x02:False
% 239.44/239.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x02) as proof of False
% 239.44/239.74 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 239.44/239.74 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 239.44/239.74 Found x02:False
% 239.44/239.74 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x02) as proof of False
% 239.44/239.74 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x02) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 239.44/239.74 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 239.44/239.74 Found x02:False
% 239.44/239.74 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 239.44/239.74 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 239.44/239.74 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx0) (suc Xx_0))))
% 239.44/239.74 Found x01:False
% 239.44/239.74 Found (fun (x3:(((eq nat) Xx0) n_1))=> x01) as proof of False
% 239.44/239.74 Found (fun (x3:(((eq nat) Xx0) n_1))=> x01) as proof of (not (((eq nat) Xx0) n_1))
% 239.44/239.74 Found x00:False
% 239.44/239.74 Found (fun (x1:(((P b0)->(P n_1))->False))=> x00) as proof of False
% 239.44/239.74 Found (fun (x1:(((P b0)->(P n_1))->False))=> x00) as proof of ((((P b0)->(P n_1))->False)->False)
% 239.44/239.74 Found (et0 (fun (x1:(((P b0)->(P n_1))->False))=> x00)) as proof of ((P b0)->(P n_1))
% 239.44/239.74 Found ((et ((P b0)->(P n_1))) (fun (x1:(((P b0)->(P n_1))->False))=> x00)) as proof of ((P b0)->(P n_1))
% 239.44/239.74 Found ((et ((P b0)->(P n_1))) (fun (x1:(((P b0)->(P n_1))->False))=> x00)) as proof of ((P b0)->(P n_1))
% 239.44/239.74 Found x02:False
% 239.44/239.74 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 239.44/239.74 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 239.44/239.74 Found x02:False
% 239.44/239.74 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 239.44/239.74 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 239.44/239.74 Found x00:False
% 239.44/239.74 Found (fun (x01:(((P n_1)->(P x))->False))=> x00) as proof of False
% 239.44/239.74 Found (fun (x01:(((P n_1)->(P x))->False))=> x00) as proof of ((((P n_1)->(P x))->False)->False)
% 239.44/239.74 Found (et0 (fun (x01:(((P n_1)->(P x))->False))=> x00)) as proof of ((P n_1)->(P x))
% 239.44/239.74 Found ((et ((P n_1)->(P x))) (fun (x01:(((P n_1)->(P x))->False))=> x00)) as proof of ((P n_1)->(P x))
% 239.44/239.74 Found ((et ((P n_1)->(P x))) (fun (x01:(((P n_1)->(P x))->False))=> x00)) as proof of ((P n_1)->(P x))
% 239.44/239.74 Found x00:False
% 239.44/239.74 Found (fun (x01:(((P n_1)->(P x))->False))=> x00) as proof of False
% 239.44/239.74 Found (fun (x01:(((P n_1)->(P x))->False))=> x00) as proof of ((((P n_1)->(P x))->False)->False)
% 239.44/239.74 Found (et0 (fun (x01:(((P n_1)->(P x))->False))=> x00)) as proof of ((P n_1)->(P x))
% 239.44/239.74 Found ((et ((P n_1)->(P x))) (fun (x01:(((P n_1)->(P x))->False))=> x00)) as proof of ((P n_1)->(P x))
% 239.44/239.74 Found ((et ((P n_1)->(P x))) (fun (x01:(((P n_1)->(P x))->False))=> x00)) as proof of ((P n_1)->(P x))
% 239.44/239.74 Found x02:False
% 239.44/239.74 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 239.44/239.74 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 239.44/239.74 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx0) (suc Xx_0))))
% 239.44/239.74 Found x1:((((eq nat) b) n_1)->False)
% 239.44/239.74 Instantiate: Xx:=b:nat
% 239.44/239.74 Found x1 as proof of (not (((eq nat) Xx) n_1))
% 239.44/239.74 Found x00:False
% 239.44/239.74 Found (fun (x2:((P1 b)->False))=> x00) as proof of False
% 239.44/239.74 Found (fun (x2:((P1 b)->False))=> x00) as proof of (((P1 b)->False)->False)
% 239.44/239.74 Found x01:False
% 239.44/239.74 Found (fun (x02:((P1 x)->False))=> x01) as proof of False
% 239.44/239.74 Found (fun (x02:((P1 x)->False))=> x01) as proof of (((P1 x)->False)->False)
% 239.44/239.74 Found x00:False
% 239.44/239.74 Found (fun (x2:((P1 b)->False))=> x00) as proof of False
% 239.44/239.74 Found (fun (x2:((P1 b)->False))=> x00) as proof of (((P1 b)->False)->False)
% 239.44/239.74 Found x00:False
% 239.44/239.74 Found (fun (x2:((P1 b)->False))=> x00) as proof of False
% 239.44/239.74 Found (fun (x2:((P1 b)->False))=> x00) as proof of (((P1 b)->False)->False)
% 239.44/239.74 Found x00:False
% 239.44/239.74 Found (fun (x2:((P1 b)->False))=> x00) as proof of False
% 239.44/239.74 Found (fun (x2:((P1 b)->False))=> x00) as proof of (((P1 b)->False)->False)
% 248.14/248.43 Found x01:False
% 248.14/248.43 Found (fun (x02:((P1 x)->False))=> x01) as proof of False
% 248.14/248.43 Found (fun (x02:((P1 x)->False))=> x01) as proof of (((P1 x)->False)->False)
% 248.14/248.43 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 248.14/248.43 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 248.14/248.43 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 248.14/248.43 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 248.14/248.43 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 248.14/248.43 Found x00:False
% 248.14/248.43 Found (fun (x2:((P1 b)->False))=> x00) as proof of False
% 248.14/248.43 Found (fun (x2:((P1 b)->False))=> x00) as proof of (((P1 b)->False)->False)
% 248.14/248.43 Found x00:False
% 248.14/248.43 Found (fun (x2:((P1 b)->False))=> x00) as proof of False
% 248.14/248.43 Found (fun (x2:((P1 b)->False))=> x00) as proof of (((P1 b)->False)->False)
% 248.14/248.43 Found x00:False
% 248.14/248.43 Found (fun (x2:(((eq nat) Xx) (suc Xx_0)))=> x00) as proof of False
% 248.14/248.43 Found (fun (Xx_0:nat) (x2:(((eq nat) Xx) (suc Xx_0)))=> x00) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 248.14/248.43 Found (fun (Xx_0:nat) (x2:(((eq nat) Xx) (suc Xx_0)))=> x00) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 248.14/248.43 Found x02:False
% 248.14/248.43 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 248.14/248.43 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 248.14/248.43 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx0) (suc Xx_0))))
% 248.14/248.43 Found x00:False
% 248.14/248.43 Found (fun (x3:(((eq nat) Xx) (suc Xx_0)))=> x00) as proof of False
% 248.14/248.43 Found (fun (x3:(((eq nat) Xx) (suc Xx_0)))=> x00) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 248.14/248.43 Found x00:((((eq nat) x) n_1)->False)
% 248.14/248.43 Instantiate: Xx0:=x:nat
% 248.14/248.43 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 248.14/248.43 Found x02:False
% 248.14/248.43 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 248.14/248.43 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 248.14/248.43 Found x00:((((eq nat) x) n_1)->False)
% 248.14/248.43 Instantiate: Xx:=x:nat
% 248.14/248.43 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 248.14/248.43 Found x00:((((eq nat) x) b)->False)
% 248.14/248.43 Found x00 as proof of (not (((eq nat) x) n_1))
% 248.14/248.43 Found x00:((((eq nat) x) b)->False)
% 248.14/248.43 Found x00 as proof of (not (((eq nat) x) n_1))
% 248.14/248.43 Found x00:((((eq nat) x) b)->False)
% 248.14/248.43 Found x00 as proof of (not (((eq nat) x) n_1))
% 248.14/248.43 Found x00:((((eq nat) x) b)->False)
% 248.14/248.43 Found x00 as proof of (not (((eq nat) x) n_1))
% 248.14/248.43 Found x1:((((eq nat) b) n_1)->False)
% 248.14/248.43 Found x1 as proof of (not (((eq nat) b) n_1))
% 248.14/248.43 Found x1:((((eq nat) b) n_1)->False)
% 248.14/248.43 Found x1 as proof of (not (((eq nat) b) n_1))
% 248.14/248.43 Found x01:False
% 248.14/248.43 Found (fun (x2:(((eq nat) Xx0) n_1))=> x01) as proof of False
% 248.14/248.43 Found (fun (x2:(((eq nat) Xx0) n_1))=> x01) as proof of (not (((eq nat) Xx0) n_1))
% 248.14/248.43 Found x00:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False)
% 248.14/248.43 Instantiate: Xx:=x:nat
% 248.14/248.43 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 248.14/248.43 Found x1:((((eq nat) b) n_1)->False)
% 248.14/248.43 Instantiate: Xx:=b:nat
% 248.14/248.43 Found x1 as proof of (not (((eq nat) Xx) n_1))
% 248.14/248.43 Found x02:False
% 248.14/248.43 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 248.14/248.43 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 248.14/248.43 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx0) (suc Xx_0))))
% 248.14/248.43 Found x02:False
% 248.14/248.43 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 248.14/248.43 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 248.14/248.43 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx0) (suc Xx_0))))
% 248.14/248.43 Found x01:False
% 248.14/248.43 Found (fun (x02:((P x)->False))=> x01) as proof of False
% 248.14/248.43 Found (fun (x02:((P x)->False))=> x01) as proof of (((P x)->False)->False)
% 248.14/248.43 Found (et0 (fun (x02:((P x)->False))=> x01)) as proof of (P x)
% 248.14/248.43 Found ((et (P x)) (fun (x02:((P x)->False))=> x01)) as proof of (P x)
% 248.14/248.43 Found ((et (P x)) (fun (x02:((P x)->False))=> x01)) as proof of (P x)
% 248.14/248.43 Found x01:False
% 248.14/248.43 Found (fun (x02:((P x)->False))=> x01) as proof of False
% 248.14/248.43 Found (fun (x02:((P x)->False))=> x01) as proof of (((P x)->False)->False)
% 248.14/248.43 Found (et0 (fun (x02:((P x)->False))=> x01)) as proof of (P x)
% 256.78/257.12 Found ((et (P x)) (fun (x02:((P x)->False))=> x01)) as proof of (P x)
% 256.78/257.12 Found ((et (P x)) (fun (x02:((P x)->False))=> x01)) as proof of (P x)
% 256.78/257.12 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 256.78/257.12 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 256.78/257.12 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 256.78/257.12 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 256.78/257.12 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 256.78/257.12 Found x00:False
% 256.78/257.12 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of False
% 256.78/257.12 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of (((((eq nat) b) n_1)->False)->False)
% 256.78/257.12 Found (et0 (fun (x1:((((eq nat) b) n_1)->False))=> x00)) as proof of (((eq nat) b) n_1)
% 256.78/257.12 Found ((et (((eq nat) b) n_1)) (fun (x1:((((eq nat) b) n_1)->False))=> x00)) as proof of (((eq nat) b) n_1)
% 256.78/257.12 Found ((et (((eq nat) b) n_1)) (fun (x1:((((eq nat) b) n_1)->False))=> x00)) as proof of (((eq nat) b) n_1)
% 256.78/257.12 Found x00:False
% 256.78/257.12 Found (fun (x2:((P n_1)->False))=> x00) as proof of False
% 256.78/257.12 Found (fun (x2:((P n_1)->False))=> x00) as proof of (((P n_1)->False)->False)
% 256.78/257.12 Found (et0 (fun (x2:((P n_1)->False))=> x00)) as proof of (P n_1)
% 256.78/257.12 Found ((et (P n_1)) (fun (x2:((P n_1)->False))=> x00)) as proof of (P n_1)
% 256.78/257.12 Found ((et (P n_1)) (fun (x2:((P n_1)->False))=> x00)) as proof of (P n_1)
% 256.78/257.12 Found x00:((((eq nat) x) n_1)->False)
% 256.78/257.12 Instantiate: Xx0:=x:nat
% 256.78/257.12 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 256.78/257.12 Found x01:False
% 256.78/257.12 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of False
% 256.78/257.12 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of ((((eq nat) x) (suc Xx_0))->False)
% 256.78/257.12 Found x00:False
% 256.78/257.12 Found (fun (x3:(((eq nat) Xx) (suc Xx_0)))=> x00) as proof of False
% 256.78/257.12 Found (fun (Xx_0:nat) (x3:(((eq nat) Xx) (suc Xx_0)))=> x00) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 256.78/257.12 Found (fun (Xx_0:nat) (x3:(((eq nat) Xx) (suc Xx_0)))=> x00) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 256.78/257.12 Found x00:False
% 256.78/257.12 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of False
% 256.78/257.12 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of (((((eq nat) n_1) x)->False)->False)
% 256.78/257.12 Found x00:False
% 256.78/257.12 Found (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00) as proof of False
% 256.78/257.12 Found (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00) as proof of (((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False)->False)
% 256.78/257.12 Found x00:((((eq nat) x) n_1)->False)
% 256.78/257.12 Instantiate: Xx:=x:nat
% 256.78/257.12 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 256.78/257.12 Found x00:False
% 256.78/257.12 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of False
% 256.78/257.12 Found (fun (x01:((((eq nat) n_1) x)->False))=> x00) as proof of (((((eq nat) n_1) x)->False)->False)
% 256.78/257.12 Found x00:False
% 256.78/257.12 Found (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00) as proof of False
% 256.78/257.12 Found (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00) as proof of (((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False)->False)
% 256.78/257.12 Found x02:False
% 256.78/257.12 Found (fun (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of False
% 256.78/257.12 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (not (((eq nat) Xx0) (suc Xx_01)))
% 256.78/257.12 Found (fun (Xx_01:nat) (x2:(((eq nat) Xx0) (suc Xx_01)))=> x02) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx0) (suc Xx_0))))
% 256.78/257.12 Found x01:False
% 256.78/257.12 Found (fun (x3:(((eq nat) Xx0) n_1))=> x01) as proof of False
% 256.78/257.12 Found (fun (x3:(((eq nat) Xx0) n_1))=> x01) as proof of (not (((eq nat) Xx0) n_1))
% 256.78/257.12 Found x00:False
% 256.78/257.12 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 256.78/257.12 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 256.78/257.12 Found (et0 (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 256.78/257.12 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 256.78/257.12 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 256.78/257.12 Found x00:False
% 256.78/257.12 Found (fun (x1:(((P0 b)->(P0 n_1))->False))=> x00) as proof of False
% 256.78/257.12 Found (fun (x1:(((P0 b)->(P0 n_1))->False))=> x00) as proof of ((((P0 b)->(P0 n_1))->False)->False)
% 256.78/257.12 Found (et0 (fun (x1:(((P0 b)->(P0 n_1))->False))=> x00)) as proof of ((P0 b)->(P0 n_1))
% 258.34/258.64 Found ((et ((P0 b)->(P0 n_1))) (fun (x1:(((P0 b)->(P0 n_1))->False))=> x00)) as proof of ((P0 b)->(P0 n_1))
% 258.34/258.64 Found ((et ((P0 b)->(P0 n_1))) (fun (x1:(((P0 b)->(P0 n_1))->False))=> x00)) as proof of ((P0 b)->(P0 n_1))
% 258.34/258.64 Found x00:False
% 258.34/258.64 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 258.34/258.64 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 258.34/258.64 Found (et0 (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found x00:False
% 258.34/258.64 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 258.34/258.64 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 258.34/258.64 Found (et0 (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found x00:False
% 258.34/258.64 Found (fun (x01:((((eq nat) b) x)->False))=> x00) as proof of False
% 258.34/258.64 Found (fun (x01:((((eq nat) b) x)->False))=> x00) as proof of (((((eq nat) b) x)->False)->False)
% 258.34/258.64 Found (et0 (fun (x01:((((eq nat) b) x)->False))=> x00)) as proof of (((eq nat) b) x)
% 258.34/258.64 Found ((et (((eq nat) b) x)) (fun (x01:((((eq nat) b) x)->False))=> x00)) as proof of (((eq nat) b) x)
% 258.34/258.64 Found ((et (((eq nat) b) x)) (fun (x01:((((eq nat) b) x)->False))=> x00)) as proof of (((eq nat) b) x)
% 258.34/258.64 Found x00:False
% 258.34/258.64 Found (fun (x01:((((eq nat) b) x)->False))=> x00) as proof of False
% 258.34/258.64 Found (fun (x01:((((eq nat) b) x)->False))=> x00) as proof of (((((eq nat) b) x)->False)->False)
% 258.34/258.64 Found (et0 (fun (x01:((((eq nat) b) x)->False))=> x00)) as proof of (((eq nat) b) x)
% 258.34/258.64 Found ((et (((eq nat) b) x)) (fun (x01:((((eq nat) b) x)->False))=> x00)) as proof of (((eq nat) b) x)
% 258.34/258.64 Found ((et (((eq nat) b) x)) (fun (x01:((((eq nat) b) x)->False))=> x00)) as proof of (((eq nat) b) x)
% 258.34/258.64 Found x00:False
% 258.34/258.64 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 258.34/258.64 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 258.34/258.64 Found (et0 (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found x01:False
% 258.34/258.64 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of False
% 258.34/258.64 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of (not (((eq nat) x) (suc Xx_0)))
% 258.34/258.64 Found x00:False
% 258.34/258.64 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 258.34/258.64 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 258.34/258.64 Found (et0 (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found x00:False
% 258.34/258.64 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of False
% 258.34/258.64 Found (fun (x1:((((eq nat) n_1) b)->False))=> x00) as proof of (((((eq nat) n_1) b)->False)->False)
% 258.34/258.64 Found (et0 (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found ((et (((eq nat) n_1) b)) (fun (x1:((((eq nat) n_1) b)->False))=> x00)) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found x00:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False)
% 258.34/258.64 Instantiate: Xx:=x:nat
% 258.34/258.64 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 258.34/258.64 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 258.34/258.64 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 258.34/258.64 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 265.46/265.79 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 265.46/265.79 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 265.46/265.79 Found x01:False
% 265.46/265.79 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of False
% 265.46/265.79 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of (not (((eq nat) Xx) n_1))
% 265.46/265.79 Found x00:(P x)
% 265.46/265.79 Instantiate: b:=x:nat
% 265.46/265.79 Found x00 as proof of (P0 b)
% 265.46/265.79 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 265.46/265.79 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 265.46/265.79 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 265.46/265.79 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 265.46/265.79 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 265.46/265.79 Found x01:False
% 265.46/265.79 Found (fun (x2:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of False
% 265.46/265.79 Found (fun (x2:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx0) (suc Xx_0)))
% 265.46/265.79 Found x00:((((eq nat) x) n_1)->False)
% 265.46/265.79 Instantiate: Xx0:=x:nat
% 265.46/265.79 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 265.46/265.79 Found x00:False
% 265.46/265.79 Found (fun (x01:(((P1 b)->(P1 x))->False))=> x00) as proof of False
% 265.46/265.79 Found (fun (x01:(((P1 b)->(P1 x))->False))=> x00) as proof of ((((P1 b)->(P1 x))->False)->False)
% 265.46/265.79 Found (et0 (fun (x01:(((P1 b)->(P1 x))->False))=> x00)) as proof of ((P1 b)->(P1 x))
% 265.46/265.79 Found ((et ((P1 b)->(P1 x))) (fun (x01:(((P1 b)->(P1 x))->False))=> x00)) as proof of ((P1 b)->(P1 x))
% 265.46/265.79 Found ((et ((P1 b)->(P1 x))) (fun (x01:(((P1 b)->(P1 x))->False))=> x00)) as proof of ((P1 b)->(P1 x))
% 265.46/265.79 Found x00:False
% 265.46/265.79 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of False
% 265.46/265.79 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of ((((P1 n_1)->(P1 b))->False)->False)
% 265.46/265.79 Found (et0 (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 265.46/265.79 Found ((et ((P1 n_1)->(P1 b))) (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 265.46/265.79 Found ((et ((P1 n_1)->(P1 b))) (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 265.46/265.79 Found x00:False
% 265.46/265.79 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of False
% 265.46/265.79 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of ((((P1 n_1)->(P1 b))->False)->False)
% 265.46/265.79 Found (et0 (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 265.46/265.79 Found ((et ((P1 n_1)->(P1 b))) (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 265.46/265.79 Found ((et ((P1 n_1)->(P1 b))) (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 265.46/265.79 Found x00:False
% 265.46/265.79 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of False
% 265.46/265.79 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of ((((P1 n_1)->(P1 b))->False)->False)
% 265.46/265.79 Found (et0 (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 265.46/265.79 Found ((et ((P1 n_1)->(P1 b))) (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 265.46/265.79 Found ((et ((P1 n_1)->(P1 b))) (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 265.46/265.79 Found x00:False
% 265.46/265.79 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of False
% 265.46/265.79 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of ((((P1 n_1)->(P1 b))->False)->False)
% 265.46/265.79 Found (et0 (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 265.46/265.79 Found ((et ((P1 n_1)->(P1 b))) (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 265.46/265.79 Found ((et ((P1 n_1)->(P1 b))) (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 265.46/265.79 Found x00:False
% 265.46/265.79 Found (fun (x01:(((P1 b)->(P1 x))->False))=> x00) as proof of False
% 265.46/265.79 Found (fun (x01:(((P1 b)->(P1 x))->False))=> x00) as proof of ((((P1 b)->(P1 x))->False)->False)
% 265.46/265.79 Found (et0 (fun (x01:(((P1 b)->(P1 x))->False))=> x00)) as proof of ((P1 b)->(P1 x))
% 265.46/265.79 Found ((et ((P1 b)->(P1 x))) (fun (x01:(((P1 b)->(P1 x))->False))=> x00)) as proof of ((P1 b)->(P1 x))
% 265.46/265.79 Found ((et ((P1 b)->(P1 x))) (fun (x01:(((P1 b)->(P1 x))->False))=> x00)) as proof of ((P1 b)->(P1 x))
% 265.46/265.79 Found x00:False
% 265.46/265.79 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of False
% 265.46/265.79 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of ((((P1 n_1)->(P1 x))->False)->False)
% 265.46/265.79 Found x00:False
% 265.46/265.79 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of False
% 277.95/278.24 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of ((((P1 n_1)->(P1 x))->False)->False)
% 277.95/278.24 Found x00:False
% 277.95/278.24 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of False
% 277.95/278.24 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of ((((P1 n_1)->(P1 x))->False)->False)
% 277.95/278.24 Found x00:False
% 277.95/278.24 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of False
% 277.95/278.24 Found (fun (x01:(((P1 n_1)->(P1 x))->False))=> x00) as proof of ((((P1 n_1)->(P1 x))->False)->False)
% 277.95/278.24 Found x1:((((eq nat) b) n_1)->False)
% 277.95/278.24 Instantiate: Xx:=b:nat
% 277.95/278.24 Found x1 as proof of (not (((eq nat) Xx) n_1))
% 277.95/278.24 Found x00:False
% 277.95/278.24 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of False
% 277.95/278.24 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of ((((P1 n_1)->(P1 b))->False)->False)
% 277.95/278.24 Found (et0 (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 277.95/278.24 Found ((et ((P1 n_1)->(P1 b))) (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 277.95/278.24 Found ((et ((P1 n_1)->(P1 b))) (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 277.95/278.24 Found x00:False
% 277.95/278.24 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of False
% 277.95/278.24 Found (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00) as proof of ((((P1 n_1)->(P1 b))->False)->False)
% 277.95/278.24 Found (et0 (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 277.95/278.24 Found ((et ((P1 n_1)->(P1 b))) (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 277.95/278.24 Found ((et ((P1 n_1)->(P1 b))) (fun (x1:(((P1 n_1)->(P1 b))->False))=> x00)) as proof of ((P1 n_1)->(P1 b))
% 277.95/278.24 Found x01:False
% 277.95/278.24 Found (fun (x2:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of False
% 277.95/278.24 Found (fun (x2:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx0) (suc Xx_0)))
% 277.95/278.24 Found x01:False
% 277.95/278.24 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of False
% 277.95/278.24 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of ((((eq nat) x) (suc Xx_0))->False)
% 277.95/278.24 Found x01:False
% 277.95/278.24 Found (fun (x2:(((eq nat) Xx) n_1))=> x01) as proof of False
% 277.95/278.24 Found (fun (x2:(((eq nat) Xx) n_1))=> x01) as proof of (not (((eq nat) Xx) n_1))
% 277.95/278.24 Found x01:False
% 277.95/278.24 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of False
% 277.95/278.24 Found (fun (x1:(((eq nat) Xx) n_1))=> x01) as proof of ((((eq nat) Xx) n_1)->False)
% 277.95/278.24 Found x01:False
% 277.95/278.24 Found (fun (x3:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of False
% 277.95/278.24 Found (fun (x3:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx0) (suc Xx_0)))
% 277.95/278.24 Found x01:False
% 277.95/278.24 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of False
% 277.95/278.24 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of (not (((eq nat) x) (suc Xx_0)))
% 277.95/278.24 Found x01:False
% 277.95/278.24 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of False
% 277.95/278.24 Found (fun (Xx_0:nat) (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of (not (((eq nat) x) (suc Xx_0)))
% 277.95/278.24 Found (fun (Xx_0:nat) (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) x) (suc Xx_0))))
% 277.95/278.24 Found x00:((((eq nat) x) n_1)->False)
% 277.95/278.24 Instantiate: Xx:=x:nat
% 277.95/278.24 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 277.95/278.24 Found x00:((((eq nat) x) n_1)->False)
% 277.95/278.24 Instantiate: Xx0:=x:nat
% 277.95/278.24 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 277.95/278.24 Found x01:False
% 277.95/278.24 Found (fun (x2:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of False
% 277.95/278.24 Found (fun (Xx_0:nat) (x2:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx0) (suc Xx_0)))
% 277.95/278.24 Found (fun (Xx_0:nat) (x2:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx0) (suc Xx_0))))
% 277.95/278.24 Found x00:((forall (P:(nat->Prop)), ((P x)->(P n_1)))->False)
% 277.95/278.24 Instantiate: Xx:=x:nat
% 277.95/278.24 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 277.95/278.24 Found x00:((((eq nat) x) n_1)->False)
% 277.95/278.24 Instantiate: Xx0:=x:nat
% 277.95/278.24 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 277.95/278.24 Found x00:((((eq nat) x) b)->False)
% 277.95/278.24 Instantiate: Xx:=x:nat
% 277.95/278.24 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 277.95/278.24 Found x01:False
% 277.95/278.24 Found (fun (x2:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of False
% 277.95/278.24 Found (fun (x2:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx0) (suc Xx_0)))
% 277.95/278.24 Found x00:False
% 277.95/278.24 Found (fun (x2:((P0 n_1)->False))=> x00) as proof of False
% 277.95/278.24 Found (fun (x2:((P0 n_1)->False))=> x00) as proof of (((P0 n_1)->False)->False)
% 285.23/285.56 Found (et0 (fun (x2:((P0 n_1)->False))=> x00)) as proof of (P0 n_1)
% 285.23/285.56 Found ((et (P0 n_1)) (fun (x2:((P0 n_1)->False))=> x00)) as proof of (P0 n_1)
% 285.23/285.56 Found ((et (P0 n_1)) (fun (x2:((P0 n_1)->False))=> x00)) as proof of (P0 n_1)
% 285.23/285.56 Found x01:False
% 285.23/285.56 Found (fun (x2:(((eq nat) Xx) n_1))=> x01) as proof of False
% 285.23/285.56 Found (fun (x2:(((eq nat) Xx) n_1))=> x01) as proof of ((((eq nat) Xx) n_1)->False)
% 285.23/285.56 Found x01:False
% 285.23/285.56 Found (fun (x02:((P1 x)->False))=> x01) as proof of False
% 285.23/285.56 Found (fun (x02:((P1 x)->False))=> x01) as proof of (((P1 x)->False)->False)
% 285.23/285.56 Found x01:False
% 285.23/285.56 Found (fun (x02:((P1 x)->False))=> x01) as proof of False
% 285.23/285.56 Found (fun (x02:((P1 x)->False))=> x01) as proof of (((P1 x)->False)->False)
% 285.23/285.56 Found x01:False
% 285.23/285.56 Found (fun (x02:((P1 x)->False))=> x01) as proof of False
% 285.23/285.56 Found (fun (x02:((P1 x)->False))=> x01) as proof of (((P1 x)->False)->False)
% 285.23/285.56 Found x01:False
% 285.23/285.56 Found (fun (x02:((P1 x)->False))=> x01) as proof of False
% 285.23/285.56 Found (fun (x02:((P1 x)->False))=> x01) as proof of (((P1 x)->False)->False)
% 285.23/285.56 Found x01:False
% 285.23/285.56 Found (fun (x2:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of False
% 285.23/285.56 Found (fun (Xx_0:nat) (x2:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx0) (suc Xx_0)))
% 285.23/285.56 Found (fun (Xx_0:nat) (x2:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx0) (suc Xx_0))))
% 285.23/285.56 Found x00:False
% 285.23/285.56 Found (fun (x1:((((eq nat) n_1) b0)->False))=> x00) as proof of False
% 285.23/285.56 Found (fun (x1:((((eq nat) n_1) b0)->False))=> x00) as proof of (((((eq nat) n_1) b0)->False)->False)
% 285.23/285.56 Found x00:False
% 285.23/285.56 Found (fun (x01:((((eq nat) b0) x)->False))=> x00) as proof of False
% 285.23/285.56 Found (fun (x01:((((eq nat) b0) x)->False))=> x00) as proof of (((((eq nat) b0) x)->False)->False)
% 285.23/285.56 Found x01:False
% 285.23/285.56 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 285.23/285.56 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 285.23/285.56 Found x00:False
% 285.23/285.56 Found (fun (x1:((forall (P:(nat->Prop)), ((P b)->(P n_1)))->False))=> x00) as proof of False
% 285.23/285.56 Found (fun (x1:((forall (P:(nat->Prop)), ((P b)->(P n_1)))->False))=> x00) as proof of (((forall (P:(nat->Prop)), ((P b)->(P n_1)))->False)->False)
% 285.23/285.56 Found x00:False
% 285.23/285.56 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of False
% 285.23/285.56 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of (((((eq nat) b) n_1)->False)->False)
% 285.23/285.56 Found x01:False
% 285.23/285.56 Found (fun (x3:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of False
% 285.23/285.56 Found (fun (Xx_0:nat) (x3:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx0) (suc Xx_0)))
% 285.23/285.56 Found (fun (Xx_0:nat) (x3:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx0) (suc Xx_0))))
% 285.23/285.56 Found x01:False
% 285.23/285.56 Found (fun (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of False
% 285.23/285.56 Found (fun (Xx_0:nat) (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of (not (((eq nat) x) (suc Xx_0)))
% 285.23/285.56 Found (fun (Xx_0:nat) (x02:(((eq nat) x) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) x) (suc Xx_0))))
% 285.23/285.56 Found x01:False
% 285.23/285.56 Found (fun (x2:(((eq nat) Xx0) (suc Xx_00)))=> x01) as proof of False
% 285.23/285.56 Found (fun (x2:(((eq nat) Xx0) (suc Xx_00)))=> x01) as proof of (not (((eq nat) Xx0) (suc Xx_00)))
% 285.23/285.56 Found x00:((((eq nat) x) b0)->False)
% 285.23/285.56 Found x00 as proof of (not (((eq nat) x) n_1))
% 285.23/285.56 Found x00:((((eq nat) x) n_1)->False)
% 285.23/285.56 Instantiate: Xx0:=x:nat
% 285.23/285.56 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 285.23/285.56 Found x00:False
% 285.23/285.56 Found (fun (x2:((P1 b)->False))=> x00) as proof of False
% 285.23/285.56 Found (fun (x2:((P1 b)->False))=> x00) as proof of (((P1 b)->False)->False)
% 285.23/285.56 Found (et0 (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 285.23/285.56 Found ((et (P1 b)) (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 285.23/285.56 Found ((et (P1 b)) (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 285.23/285.56 Found x01:False
% 285.23/285.56 Found (fun (x02:((P1 x)->False))=> x01) as proof of False
% 285.23/285.56 Found (fun (x02:((P1 x)->False))=> x01) as proof of (((P1 x)->False)->False)
% 285.23/285.56 Found (et0 (fun (x02:((P1 x)->False))=> x01)) as proof of (P1 x)
% 285.23/285.56 Found ((et (P1 x)) (fun (x02:((P1 x)->False))=> x01)) as proof of (P1 x)
% 285.23/285.56 Found ((et (P1 x)) (fun (x02:((P1 x)->False))=> x01)) as proof of (P1 x)
% 292.04/292.36 Found x00:False
% 292.04/292.36 Found (fun (x2:((P1 b)->False))=> x00) as proof of False
% 292.04/292.36 Found (fun (x2:((P1 b)->False))=> x00) as proof of (((P1 b)->False)->False)
% 292.04/292.36 Found (et0 (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 292.04/292.36 Found ((et (P1 b)) (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 292.04/292.36 Found ((et (P1 b)) (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 292.04/292.36 Found x01:False
% 292.04/292.36 Found (fun (x02:((P1 x)->False))=> x01) as proof of False
% 292.04/292.36 Found (fun (x02:((P1 x)->False))=> x01) as proof of (((P1 x)->False)->False)
% 292.04/292.36 Found (et0 (fun (x02:((P1 x)->False))=> x01)) as proof of (P1 x)
% 292.04/292.36 Found ((et (P1 x)) (fun (x02:((P1 x)->False))=> x01)) as proof of (P1 x)
% 292.04/292.36 Found ((et (P1 x)) (fun (x02:((P1 x)->False))=> x01)) as proof of (P1 x)
% 292.04/292.36 Found x00:False
% 292.04/292.36 Found (fun (x2:((P1 b)->False))=> x00) as proof of False
% 292.04/292.36 Found (fun (x2:((P1 b)->False))=> x00) as proof of (((P1 b)->False)->False)
% 292.04/292.36 Found (et0 (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 292.04/292.36 Found ((et (P1 b)) (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 292.04/292.36 Found ((et (P1 b)) (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 292.04/292.36 Found x00:False
% 292.04/292.36 Found (fun (x2:((P1 b)->False))=> x00) as proof of False
% 292.04/292.36 Found (fun (x2:((P1 b)->False))=> x00) as proof of (((P1 b)->False)->False)
% 292.04/292.36 Found (et0 (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 292.04/292.36 Found ((et (P1 b)) (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 292.04/292.36 Found ((et (P1 b)) (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 292.04/292.36 Found x00:(P x)
% 292.04/292.36 Instantiate: b:=x:nat
% 292.04/292.36 Found x00 as proof of (P0 b)
% 292.04/292.36 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 292.04/292.36 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 292.04/292.36 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 292.04/292.36 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 292.04/292.36 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 292.04/292.36 Found x00:False
% 292.04/292.36 Found (fun (x2:((P1 b)->False))=> x00) as proof of False
% 292.04/292.36 Found (fun (x2:((P1 b)->False))=> x00) as proof of (((P1 b)->False)->False)
% 292.04/292.36 Found (et0 (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 292.04/292.36 Found ((et (P1 b)) (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 292.04/292.36 Found ((et (P1 b)) (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 292.04/292.36 Found x00:False
% 292.04/292.36 Found (fun (x2:((P1 b)->False))=> x00) as proof of False
% 292.04/292.36 Found (fun (x2:((P1 b)->False))=> x00) as proof of (((P1 b)->False)->False)
% 292.04/292.36 Found (et0 (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 292.04/292.36 Found ((et (P1 b)) (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 292.04/292.36 Found ((et (P1 b)) (fun (x2:((P1 b)->False))=> x00)) as proof of (P1 b)
% 292.04/292.36 Found x00:False
% 292.04/292.36 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of False
% 292.04/292.36 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (not (((eq nat) b) (suc Xx_0)))
% 292.04/292.36 Found x00:False
% 292.04/292.36 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of False
% 292.04/292.36 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (not (((eq nat) b) (suc Xx_0)))
% 292.04/292.36 Found x01:False
% 292.04/292.36 Found (fun (x2:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of False
% 292.04/292.36 Found (fun (Xx_0:nat) (x2:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx0) (suc Xx_0)))
% 292.04/292.36 Found (fun (Xx_0:nat) (x2:(((eq nat) Xx0) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx0) (suc Xx_0))))
% 292.04/292.36 Found x01:False
% 292.04/292.36 Found (fun (x2:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 292.04/292.36 Found (fun (x2:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 292.04/292.36 Found x01:False
% 292.04/292.36 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 292.04/292.36 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of ((((eq nat) Xx) (suc Xx_0))->False)
% 292.04/292.36 Found x00:False
% 292.04/292.36 Found (fun (x1:(((P b)->(P n_1))->False))=> x00) as proof of False
% 292.04/292.36 Found (fun (x1:(((P b)->(P n_1))->False))=> x00) as proof of ((((P b)->(P n_1))->False)->False)
% 292.04/292.36 Found x00:False
% 292.04/292.36 Found (fun (x1:(((P b)->(P n_1))->False))=> x00) as proof of False
% 292.04/292.36 Found (fun (x1:(((P b)->(P n_1))->False))=> x00) as proof of ((((P b)->(P n_1))->False)->False)
% 292.04/292.36 Found x00:False
% 292.04/292.36 Found (fun (x1:(((P n_1)->(P b0))->False))=> x00) as proof of False
% 292.04/292.36 Found (fun (x1:(((P n_1)->(P b0))->False))=> x00) as proof of ((((P n_1)->(P b0))->False)->False)
% 292.04/292.36 Found x00:False
% 292.04/292.36 Found (fun (x01:(((P b0)->(P x))->False))=> x00) as proof of False
% 299.36/299.68 Found (fun (x01:(((P b0)->(P x))->False))=> x00) as proof of ((((P b0)->(P x))->False)->False)
% 299.36/299.68 Found x01:False
% 299.36/299.68 Found (fun (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 299.36/299.68 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (not (((eq nat) Xx) (suc Xx_0)))
% 299.36/299.68 Found (fun (Xx_0:nat) (x1:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx) (suc Xx_0))))
% 299.36/299.68 Found x01:False
% 299.36/299.68 Found (fun (x3:(((eq nat) Xx0) (suc Xx_00)))=> x01) as proof of False
% 299.36/299.68 Found (fun (x3:(((eq nat) Xx0) (suc Xx_00)))=> x01) as proof of (not (((eq nat) Xx0) (suc Xx_00)))
% 299.36/299.68 Found x00:((((eq nat) x) n_1)->False)
% 299.36/299.68 Instantiate: Xx0:=x:nat
% 299.36/299.68 Found x00 as proof of (not (((eq nat) Xx0) n_1))
% 299.36/299.68 Found x01:False
% 299.36/299.68 Found (fun (x2:(((eq nat) Xx0) (suc Xx_00)))=> x01) as proof of False
% 299.36/299.68 Found (fun (Xx_00:nat) (x2:(((eq nat) Xx0) (suc Xx_00)))=> x01) as proof of (not (((eq nat) Xx0) (suc Xx_00)))
% 299.36/299.68 Found (fun (Xx_00:nat) (x2:(((eq nat) Xx0) (suc Xx_00)))=> x01) as proof of (forall (Xx_0:nat), (not (((eq nat) Xx0) (suc Xx_0))))
% 299.36/299.68 Found x00:((((eq nat) x) b)->False)
% 299.36/299.68 Instantiate: Xx:=x:nat
% 299.36/299.68 Found x00 as proof of (not (((eq nat) Xx) n_1))
% 299.36/299.68 Found x00:False
% 299.36/299.68 Found (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00) as proof of False
% 299.36/299.68 Found (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00) as proof of (((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False)->False)
% 299.36/299.68 Found (et0 (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00)) as proof of (forall (P:(nat->Prop)), ((P n_1)->(P x)))
% 299.36/299.68 Found ((et (forall (P:(nat->Prop)), ((P n_1)->(P x)))) (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00)) as proof of (forall (P:(nat->Prop)), ((P n_1)->(P x)))
% 299.36/299.68 Found ((et (forall (P:(nat->Prop)), ((P n_1)->(P x)))) (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00)) as proof of (forall (P:(nat->Prop)), ((P n_1)->(P x)))
% 299.36/299.68 Found x00:False
% 299.36/299.68 Found (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00) as proof of False
% 299.36/299.69 Found (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00) as proof of (((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False)->False)
% 299.36/299.69 Found (et0 (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00)) as proof of (forall (P:(nat->Prop)), ((P n_1)->(P x)))
% 299.36/299.69 Found ((et (forall (P:(nat->Prop)), ((P n_1)->(P x)))) (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00)) as proof of (forall (P:(nat->Prop)), ((P n_1)->(P x)))
% 299.36/299.69 Found ((et (forall (P:(nat->Prop)), ((P n_1)->(P x)))) (fun (x01:((forall (P:(nat->Prop)), ((P n_1)->(P x)))->False))=> x00)) as proof of (forall (P:(nat->Prop)), ((P n_1)->(P x)))
% 299.36/299.69 Found x00:False
% 299.36/299.69 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of False
% 299.36/299.69 Found (fun (Xx_0:nat) (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (not (((eq nat) b) (suc Xx_0)))
% 299.36/299.69 Found (fun (Xx_0:nat) (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (forall (Xx_0:nat), (not (((eq nat) b) (suc Xx_0))))
% 299.36/299.69 Found x00:False
% 299.36/299.69 Found (fun (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of False
% 299.36/299.69 Found (fun (Xx_0:nat) (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (not (((eq nat) b) (suc Xx_0)))
% 299.36/299.69 Found (fun (Xx_0:nat) (x2:(((eq nat) b) (suc Xx_0)))=> x00) as proof of (forall (Xx_0:nat), (not (((eq nat) b) (suc Xx_0))))
% 299.36/299.69 Found x01:False
% 299.36/299.69 Found (fun (x2:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of False
% 299.36/299.69 Found (fun (x2:(((eq nat) Xx) (suc Xx_0)))=> x01) as proof of ((((eq nat) Xx) (suc Xx_0))->False)
% 299.36/299.69 Found x00:False
% 299.36/299.69 Found (fun (x2:(((eq nat) Xx) n_1))=> x00) as proof of False
% 299.36/299.69 Found (fun (x2:(((eq nat) Xx) n_1))=> x00) as proof of (not (((eq nat) Xx) n_1))
% 299.36/299.69 Found x00:False
% 299.36/299.69 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of False
% 299.36/299.69 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of (((((eq nat) b) n_1)->False)->False)
% 299.36/299.69 Found x00:False
% 299.36/299.69 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of False
% 299.36/299.69 Found (fun (x1:((((eq nat) b) n_1)->False))=> x00) as proof of (((((eq nat) b) n_1)->False)->False)
% 299.36/299.69 Found x00:False
% 299.36/299.69 Found (fun (x2:(((eq nat) Xx) n_1)
%------------------------------------------------------------------------------