TSTP Solution File: NUM663^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM663^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n093.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 13:11:21 EST 2018
% Result : Timeout 300.05s
% 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 : NUM663^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.23 % Computer : n093.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 12:12:35 CST 2018
% 0.03/0.24 % CPUTime :
% 0.03/0.25 Python 2.7.13
% 15.12/15.38 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 15.12/15.38 FOF formula (<kernel.Constant object at 0x2b67e87749e0>, <kernel.Type object at 0x2b67e8774098>) of role type named nat_type
% 15.12/15.38 Using role type
% 15.12/15.38 Declaring nat:Type
% 15.12/15.38 FOF formula (<kernel.Constant object at 0x2b67e87715f0>, <kernel.Constant object at 0x2b67e8774560>) of role type named x
% 15.12/15.38 Using role type
% 15.12/15.38 Declaring x:nat
% 15.12/15.38 FOF formula (<kernel.Constant object at 0x2b67e8774908>, <kernel.Constant object at 0x2b67e8774560>) of role type named y
% 15.12/15.38 Using role type
% 15.12/15.38 Declaring y:nat
% 15.12/15.38 FOF formula (<kernel.Constant object at 0x2b67e87749e0>, <kernel.Constant object at 0x2b67e8774560>) of role type named z
% 15.12/15.38 Using role type
% 15.12/15.38 Declaring z:nat
% 15.12/15.38 FOF formula (<kernel.Constant object at 0x2b67e87745f0>, <kernel.DependentProduct object at 0x2b67e8b3cf80>) of role type named less
% 15.12/15.38 Using role type
% 15.12/15.38 Declaring less:(nat->(nat->Prop))
% 15.12/15.38 FOF formula ((((less x) y)->False)->(((eq nat) x) y)) of role axiom named l
% 15.12/15.38 A new axiom: ((((less x) y)->False)->(((eq nat) x) y))
% 15.12/15.38 FOF formula ((less y) z) of role axiom named k
% 15.12/15.38 A new axiom: ((less y) z)
% 15.12/15.38 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et
% 15.12/15.38 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa))
% 15.12/15.38 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat), (((less Xx) Xy)->(((less Xy) Xz)->((less Xx) Xz)))) of role axiom named satz15
% 15.12/15.38 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat), (((less Xx) Xy)->(((less Xy) Xz)->((less Xx) Xz))))
% 15.12/15.38 FOF formula ((less x) z) of role conjecture named satz16a
% 15.12/15.38 Conjecture to prove = ((less x) z):Prop
% 15.12/15.38 We need to prove ['((less x) z)']
% 15.12/15.38 Parameter nat:Type.
% 15.12/15.38 Parameter x:nat.
% 15.12/15.38 Parameter y:nat.
% 15.12/15.38 Parameter z:nat.
% 15.12/15.38 Parameter less:(nat->(nat->Prop)).
% 15.12/15.38 Axiom l:((((less x) y)->False)->(((eq nat) x) y)).
% 15.12/15.38 Axiom k:((less y) z).
% 15.12/15.38 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)).
% 15.12/15.38 Axiom satz15:(forall (Xx:nat) (Xy:nat) (Xz:nat), (((less Xx) Xy)->(((less Xy) Xz)->((less Xx) Xz)))).
% 15.12/15.38 Trying to prove ((less x) z)
% 15.12/15.38 Found k:((less y) z)
% 15.12/15.38 Found k as proof of ((less y) z)
% 15.12/15.38 Found k:((less y) z)
% 15.12/15.38 Found k as proof of (P y)
% 15.12/15.38 Found k:((less y) z)
% 15.12/15.38 Found k as proof of ((less y) z)
% 15.12/15.38 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 15.12/15.38 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 15.12/15.38 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 15.12/15.38 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 15.12/15.38 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 15.12/15.38 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 15.12/15.38 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 15.12/15.38 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 15.12/15.38 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 15.12/15.38 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 15.12/15.38 Found k:((less y) z)
% 15.12/15.38 Found k as proof of (P y)
% 15.12/15.38 Found x0:(((less Xy) y)->False)
% 15.12/15.38 Instantiate: Xy:=x:nat
% 15.12/15.38 Found x0 as proof of (((less x) y)->False)
% 15.12/15.38 Found x0:(((less x) Xy)->False)
% 15.12/15.38 Instantiate: Xy:=y:nat
% 15.12/15.38 Found x0 as proof of (((less x) y)->False)
% 15.12/15.38 Found x0:(((less Xy) y)->False)
% 15.12/15.38 Instantiate: Xy:=x:nat
% 15.12/15.38 Found x0 as proof of (((less x) y)->False)
% 15.12/15.38 Found x0:(((less x) Xy)->False)
% 15.12/15.38 Instantiate: Xy:=y:nat
% 15.12/15.38 Found x0 as proof of (((less x) y)->False)
% 15.12/15.38 Found x0:(((less x) y)->False)
% 15.12/15.38 Found x0 as proof of (((less x) y)->False)
% 15.12/15.38 Found x0:(((less x) y)->False)
% 15.12/15.38 Found x0 as proof of (((less x) y)->False)
% 15.12/15.38 Found x0:(((less x) y)->False)
% 15.12/15.38 Found x0 as proof of (((less x) y)->False)
% 15.12/15.38 Found k:((less y) z)
% 15.12/15.38 Found k as proof of ((less y) z)
% 15.12/15.38 Found x0:((P b)->False)
% 15.12/15.38 Instantiate: b:=y:nat
% 15.12/15.38 Found x0 as proof of (((less x) y)->False)
% 15.12/15.38 Found x0:(((less x) y)->False)
% 15.12/15.38 Found x0 as proof of (((less x) y)->False)
% 15.12/15.38 Found x0:((P b)->False)
% 15.12/15.38 Instantiate: b:=y:nat
% 15.12/15.38 Found x0 as proof of (((less x) y)->False)
% 15.12/15.38 Found k:((less y) z)
% 15.12/15.38 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 15.12/15.38 Found k as proof of ((less Xy0) Xy)
% 15.12/15.38 Found k:((less y) z)
% 15.12/15.38 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 15.12/15.38 Found k as proof of ((less Xy0) Xy)
% 15.12/15.38 Found k:((less y) z)
% 15.12/15.38 Instantiate: Xy0:=y:nat
% 15.12/15.38 Found k as proof of ((less Xy0) z)
% 15.12/15.38 Found k:((less y) z)
% 15.12/15.38 Instantiate: Xy0:=y:nat
% 15.12/15.38 Found k as proof of ((less Xy0) z)
% 15.12/15.38 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 15.12/15.38 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 15.12/15.38 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.32/32.55 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.32/32.55 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.32/32.55 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 32.32/32.55 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 32.32/32.55 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.32/32.55 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.32/32.55 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.32/32.55 Found x0:(((less x) y)->False)
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less x) y)->False)
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less Xy) y)->False)
% 32.32/32.55 Instantiate: Xy:=x:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found k:((less y) z)
% 32.32/32.55 Found k as proof of (P y)
% 32.32/32.55 Found x0:(((less x) Xy)->False)
% 32.32/32.55 Instantiate: Xy:=y:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 32.32/32.55 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 32.32/32.55 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.32/32.55 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.32/32.55 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.32/32.55 Found x0:(((less Xy) y)->False)
% 32.32/32.55 Instantiate: Xy:=x:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less x) Xy)->False)
% 32.32/32.55 Instantiate: Xy:=y:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less Xy) y)->False)
% 32.32/32.55 Instantiate: Xy:=x:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less x) Xy)->False)
% 32.32/32.55 Instantiate: Xy:=y:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less Xy) y)->False)
% 32.32/32.55 Instantiate: Xy:=x:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less x) Xy)->False)
% 32.32/32.55 Instantiate: Xy:=y:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 32.32/32.55 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 32.32/32.55 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.32/32.55 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.32/32.55 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.32/32.55 Found x0:(((less x) y)->False)
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less Xy) y)->False)
% 32.32/32.55 Instantiate: Xy:=x:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less x) Xy)->False)
% 32.32/32.55 Instantiate: Xy:=y:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less x) y)->False)
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less Xy) y)->False)
% 32.32/32.55 Instantiate: Xy:=x:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less x) Xy)->False)
% 32.32/32.55 Instantiate: Xy:=y:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less x) y)->False)
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:((P b)->False)
% 32.32/32.55 Instantiate: b:=y:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less x) y)->False)
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:((P b)->False)
% 32.32/32.55 Instantiate: b:=y:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:((P b)->False)
% 32.32/32.55 Instantiate: b:=y:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:((P b)->False)
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:((P b)->False)
% 32.32/32.55 Instantiate: b:=y:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:((P b)->False)
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found k:((less y) z)
% 32.32/32.55 Instantiate: Xy:=y:nat
% 32.32/32.55 Found k as proof of ((less Xy) z)
% 32.32/32.55 Found k:((less y) z)
% 32.32/32.55 Instantiate: Xy:=y:nat;b:=z:nat
% 32.32/32.55 Found k as proof of ((less Xy) b)
% 32.32/32.55 Found x0:((P b)->False)
% 32.32/32.55 Instantiate: b:=y:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less x) y)->False)
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less Xy) y)->False)
% 32.32/32.55 Instantiate: Xy:=x:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:(((less x) Xy)->False)
% 32.32/32.55 Instantiate: Xy:=y:nat
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found x0:((P b)->False)
% 32.32/32.55 Found x0 as proof of (((less x) y)->False)
% 32.32/32.55 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 32.32/32.55 Found (eq_ref0 b) as proof of (((eq nat) b) y)
% 32.32/32.55 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 32.32/32.55 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 32.32/32.55 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 32.32/32.55 Found eq_ref00:=(eq_ref0 a):(((eq nat) a) a)
% 32.32/32.55 Found (eq_ref0 a) as proof of (((eq nat) a) b)
% 32.32/32.55 Found ((eq_ref nat) a) as proof of (((eq nat) a) b)
% 32.32/32.55 Found ((eq_ref nat) a) as proof of (((eq nat) a) b)
% 32.32/32.55 Found ((eq_ref nat) a) as proof of (((eq nat) a) b)
% 54.93/55.16 Found k:((less y) z)
% 54.93/55.16 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 54.93/55.16 Found k as proof of ((less Xy0) Xy)
% 54.93/55.16 Found x0:((P b)->False)
% 54.93/55.16 Instantiate: b:=y:nat
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found l0:(((eq nat) x) y)
% 54.93/55.16 Instantiate: b:=y:nat
% 54.93/55.16 Found l0 as proof of (((eq nat) x) b)
% 54.93/55.16 Found k:((less y) z)
% 54.93/55.16 Found k as proof of ((less y) z)
% 54.93/55.16 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 54.93/55.16 Found (eq_ref0 b) as proof of (((eq nat) b) y)
% 54.93/55.16 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 54.93/55.16 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 54.93/55.16 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 54.93/55.16 Found eq_ref00:=(eq_ref0 a):(((eq nat) a) a)
% 54.93/55.16 Found (eq_ref0 a) as proof of (((eq nat) a) b)
% 54.93/55.16 Found ((eq_ref nat) a) as proof of (((eq nat) a) b)
% 54.93/55.16 Found ((eq_ref nat) a) as proof of (((eq nat) a) b)
% 54.93/55.16 Found ((eq_ref nat) a) as proof of (((eq nat) a) b)
% 54.93/55.16 Found x0:((P b)->False)
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found k:((less y) z)
% 54.93/55.16 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 54.93/55.16 Found k as proof of ((less Xy0) Xy)
% 54.93/55.16 Found x0:(((less x) Xy0)->False)
% 54.93/55.16 Instantiate: Xy0:=y:nat
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found x0:(((less x) y)->False)
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found x0:(((less Xy) y)->False)
% 54.93/55.16 Instantiate: Xy:=x:nat
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found x0:(((less x) Xy)->False)
% 54.93/55.16 Instantiate: Xy:=y:nat
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found k:((less y) z)
% 54.93/55.16 Instantiate: Xy0:=y:nat
% 54.93/55.16 Found k as proof of ((less Xy0) z)
% 54.93/55.16 Found x0:(((less x) Xy0)->False)
% 54.93/55.16 Instantiate: Xy0:=y:nat
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found l0:(((eq nat) x) y)
% 54.93/55.16 Instantiate: b:=y:nat
% 54.93/55.16 Found l0 as proof of (((eq nat) x) b)
% 54.93/55.16 Found k:((less y) z)
% 54.93/55.16 Instantiate: Xy0:=y:nat
% 54.93/55.16 Found k as proof of ((less Xy0) z)
% 54.93/55.16 Found x0:(((less x) Xy0)->False)
% 54.93/55.16 Instantiate: Xy0:=y:nat
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found x0:(((less x) Xy0)->False)
% 54.93/55.16 Instantiate: Xy0:=y:nat
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found x0:(((less x) y)->False)
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found x0:(((less x) y)->False)
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found k:((less y) z)
% 54.93/55.16 Instantiate: Xy:=y:nat
% 54.93/55.16 Found k as proof of ((less Xy) z)
% 54.93/55.16 Found x0:(((less x) y)->False)
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found x0:((P b)->False)
% 54.93/55.16 Instantiate: b:=y:nat
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 54.93/55.16 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 54.93/55.16 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 54.93/55.16 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 54.93/55.16 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 54.93/55.16 Found x0:((P b)->False)
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found k:((less y) z)
% 54.93/55.16 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 54.93/55.16 Found k as proof of ((less Xy0) Xy)
% 54.93/55.16 Found x0:((P b)->False)
% 54.93/55.16 Instantiate: b:=y:nat
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 54.93/55.16 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 54.93/55.16 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 54.93/55.16 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 54.93/55.16 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 54.93/55.16 Found x0:(((less x) y)->False)
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found x0:((P b)->False)
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found k:((less y) z)
% 54.93/55.16 Instantiate: Xy0:=y:nat
% 54.93/55.16 Found k as proof of ((less Xy0) z)
% 54.93/55.16 Found x0:(((less x) b)->False)
% 54.93/55.16 Instantiate: b:=y:nat
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found k:((less y) z)
% 54.93/55.16 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 54.93/55.16 Found k as proof of ((less Xy0) Xy)
% 54.93/55.16 Found x0:(((less x) y)->False)
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found x0:(((less x) b)->False)
% 54.93/55.16 Instantiate: b:=y:nat
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found x0:(((less Xy0) y)->False)
% 54.93/55.16 Instantiate: Xy0:=x:nat
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found k:((less y) z)
% 54.93/55.16 Instantiate: Xy0:=y:nat
% 54.93/55.16 Found k as proof of ((less Xy0) z)
% 54.93/55.16 Found x0:(((less Xy0) y)->False)
% 54.93/55.16 Instantiate: Xy0:=x:nat
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found x0:(((less x) Xy0)->False)
% 54.93/55.16 Instantiate: Xy0:=y:nat
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found x0:(((less x) Xy0)->False)
% 54.93/55.16 Instantiate: Xy0:=y:nat
% 54.93/55.16 Found x0 as proof of (((less x) y)->False)
% 54.93/55.16 Found x0:((P b)->False)
% 71.81/72.03 Instantiate: b:=y:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:(((less x) y)->False)
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found k:((less y) z)
% 71.81/72.03 Instantiate: Xy:=y:nat;b:=z:nat
% 71.81/72.03 Found k as proof of (P b)
% 71.81/72.03 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 71.81/72.03 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found x0:((P b)->False)
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:(((less Xy0) y)->False)
% 71.81/72.03 Instantiate: Xy0:=x:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:(((less Xy0) y)->False)
% 71.81/72.03 Instantiate: Xy0:=x:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:(((less x) Xy0)->False)
% 71.81/72.03 Instantiate: Xy0:=y:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:(((less x) Xy0)->False)
% 71.81/72.03 Instantiate: Xy0:=y:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 71.81/72.03 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found x0:(((less Xy) y)->False)
% 71.81/72.03 Instantiate: Xy:=x:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:(((less Xy) y)->False)
% 71.81/72.03 Instantiate: Xy:=x:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:(((less x) Xy)->False)
% 71.81/72.03 Instantiate: Xy:=y:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:(((less x) Xy)->False)
% 71.81/72.03 Instantiate: Xy:=y:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found k:((less y) z)
% 71.81/72.03 Instantiate: Xy:=y:nat;b:=z:nat
% 71.81/72.03 Found k as proof of (P b)
% 71.81/72.03 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 71.81/72.03 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found x0:((P b)->False)
% 71.81/72.03 Instantiate: b:=y:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:(((less Xy) y)->False)
% 71.81/72.03 Instantiate: Xy:=x:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 71.81/72.03 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 71.81/72.03 Found x0:(((less x) Xy)->False)
% 71.81/72.03 Instantiate: Xy:=y:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:(((less Xy) y)->False)
% 71.81/72.03 Instantiate: Xy:=x:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:(((less x) Xy)->False)
% 71.81/72.03 Instantiate: Xy:=y:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:((P b)->False)
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found k:((less y) z)
% 71.81/72.03 Found k as proof of (P y)
% 71.81/72.03 Found x0:(((less x) y)->False)
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:((P a)->False)
% 71.81/72.03 Instantiate: a:=y:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found eq_ref00:=(eq_ref0 Xy):(((eq nat) Xy) Xy)
% 71.81/72.03 Found (eq_ref0 Xy) as proof of (((eq nat) Xy) b)
% 71.81/72.03 Found ((eq_ref nat) Xy) as proof of (((eq nat) Xy) b)
% 71.81/72.03 Found ((eq_ref nat) Xy) as proof of (((eq nat) Xy) b)
% 71.81/72.03 Found ((eq_ref nat) Xy) as proof of (((eq nat) Xy) b)
% 71.81/72.03 Found x0:(((less x) Xy)->False)
% 71.81/72.03 Instantiate: Xy:=y:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:((P b)->False)
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:((P a)->False)
% 71.81/72.03 Instantiate: a:=y:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:(((less x) y)->False)
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:((P a)->False)
% 71.81/72.03 Instantiate: a:=y:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found eq_ref00:=(eq_ref0 Xy):(((eq nat) Xy) Xy)
% 71.81/72.03 Found (eq_ref0 Xy) as proof of (((eq nat) Xy) b)
% 71.81/72.03 Found ((eq_ref nat) Xy) as proof of (((eq nat) Xy) b)
% 71.81/72.03 Found ((eq_ref nat) Xy) as proof of (((eq nat) Xy) b)
% 71.81/72.03 Found ((eq_ref nat) Xy) as proof of (((eq nat) Xy) b)
% 71.81/72.03 Found x0:((P a)->False)
% 71.81/72.03 Instantiate: a:=y:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:((P b)->False)
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 71.81/72.03 Found x0:(((less Xy) y)->False)
% 71.81/72.03 Instantiate: Xy:=x:nat
% 71.81/72.03 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less x) Xy)->False)
% 92.22/92.40 Instantiate: Xy:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less x) Xy)->False)
% 92.22/92.40 Instantiate: Xy:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 92.22/92.40 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 92.22/92.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 92.22/92.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 92.22/92.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 92.22/92.40 Found x0:((P b)->False)
% 92.22/92.40 Instantiate: b:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less Xy) y)->False)
% 92.22/92.40 Instantiate: Xy:=x:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less x) Xy)->False)
% 92.22/92.40 Instantiate: Xy:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less Xy) y)->False)
% 92.22/92.40 Instantiate: Xy:=x:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less x) Xy)->False)
% 92.22/92.40 Instantiate: Xy:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less x) Xy)->False)
% 92.22/92.40 Instantiate: Xy:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:((P b)->False)
% 92.22/92.40 Instantiate: b:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:((P b)->False)
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less x) Xy)->False)
% 92.22/92.40 Instantiate: Xy:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:((P b)->False)
% 92.22/92.40 Instantiate: b:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less Xy) y)->False)
% 92.22/92.40 Instantiate: Xy:=x:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less x) Xy)->False)
% 92.22/92.40 Instantiate: Xy:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less x) Xy)->False)
% 92.22/92.40 Instantiate: Xy:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:((P b)->False)
% 92.22/92.40 Instantiate: b:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less x) y)->False)
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 92.22/92.40 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 92.22/92.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 92.22/92.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 92.22/92.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 92.22/92.40 Found x0:((P b)->False)
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:((P b)->False)
% 92.22/92.40 Instantiate: b:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less x) Xy)->False)
% 92.22/92.40 Instantiate: Xy:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:((P b)->False)
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found k:((less y) z)
% 92.22/92.40 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 92.22/92.40 Found k as proof of ((less Xy0) Xy)
% 92.22/92.40 Found x0:((P b)->False)
% 92.22/92.40 Instantiate: b:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found k:((less y) z)
% 92.22/92.40 Instantiate: Xy:=y:nat
% 92.22/92.40 Found k as proof of ((less Xy) z)
% 92.22/92.40 Found x0:(((less Xy) y)->False)
% 92.22/92.40 Instantiate: Xy:=x:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less x) Xy)->False)
% 92.22/92.40 Instantiate: Xy:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found k:((less y) z)
% 92.22/92.40 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 92.22/92.40 Found k as proof of ((less Xy0) Xy)
% 92.22/92.40 Found x0:((P b)->False)
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less x) y)->False)
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found k:((less y) z)
% 92.22/92.40 Instantiate: Xy:=y:nat;b:=z:nat
% 92.22/92.40 Found k as proof of ((less Xy) b)
% 92.22/92.40 Found k:((less y) z)
% 92.22/92.40 Instantiate: Xy0:=y:nat
% 92.22/92.40 Found k as proof of ((less Xy0) z)
% 92.22/92.40 Found k:((less y) z)
% 92.22/92.40 Instantiate: Xy:=y:nat;b:=z:nat
% 92.22/92.40 Found k as proof of ((less Xy) b)
% 92.22/92.40 Found x0:((P b)->False)
% 92.22/92.40 Instantiate: b:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found x0:(((less Xy) y)->False)
% 92.22/92.40 Instantiate: Xy:=x:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found k:((less y) z)
% 92.22/92.40 Instantiate: Xy0:=y:nat
% 92.22/92.40 Found k as proof of ((less Xy0) z)
% 92.22/92.40 Found x0:(((less x) Xy)->False)
% 92.22/92.40 Instantiate: Xy:=y:nat
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 92.22/92.40 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 92.22/92.40 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 92.22/92.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 92.22/92.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 92.22/92.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 92.22/92.40 Found k:((less y) z)
% 92.22/92.40 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 92.22/92.40 Found k as proof of ((less Xy0) Xy)
% 92.22/92.40 Found x0:(((less x) y)->False)
% 92.22/92.40 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less x) y)->False)
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found k:((less y) z)
% 109.92/110.12 Instantiate: Xy0:=y:nat
% 109.92/110.12 Found k as proof of ((less Xy0) z)
% 109.92/110.12 Found x0:((P b)->False)
% 109.92/110.12 Instantiate: b:=y:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:((P b)->False)
% 109.92/110.12 Instantiate: b:=y:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found k:((less y) z)
% 109.92/110.12 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 109.92/110.12 Found k as proof of ((less Xy0) Xy)
% 109.92/110.12 Found l0:(((eq nat) x) y)
% 109.92/110.12 Instantiate: a:=x:nat;b:=y:nat
% 109.92/110.12 Found l0 as proof of (((eq nat) a) b)
% 109.92/110.12 Found l0:(((eq nat) x) y)
% 109.92/110.12 Instantiate: b:=x:nat
% 109.92/110.12 Found l0 as proof of (((eq nat) b) y)
% 109.92/110.12 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 109.92/110.12 Found (eq_ref0 b) as proof of (((eq nat) b) y)
% 109.92/110.12 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 109.92/110.12 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 109.92/110.12 Found x0:((P b)->False)
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less x) Xy0)->False)
% 109.92/110.12 Instantiate: Xy0:=y:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less Xy) y)->False)
% 109.92/110.12 Instantiate: Xy:=x:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less x) Xy)->False)
% 109.92/110.12 Instantiate: Xy:=y:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less x) y)->False)
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less x) y)->False)
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:((P b)->False)
% 109.92/110.12 Instantiate: b:=y:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found k:((less y) z)
% 109.92/110.12 Instantiate: Xy0:=y:nat
% 109.92/110.12 Found k as proof of ((less Xy0) z)
% 109.92/110.12 Found l0:(((eq nat) x) y)
% 109.92/110.12 Instantiate: a:=x:nat;b:=y:nat
% 109.92/110.12 Found l0 as proof of (((eq nat) a) b)
% 109.92/110.12 Found l0:(((eq nat) x) y)
% 109.92/110.12 Instantiate: b:=x:nat
% 109.92/110.12 Found l0 as proof of (((eq nat) b) y)
% 109.92/110.12 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 109.92/110.12 Found (eq_ref0 b) as proof of (((eq nat) b) y)
% 109.92/110.12 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 109.92/110.12 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 109.92/110.12 Found x0:(((less x) y)->False)
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:((P b)->False)
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found k:((less y) z)
% 109.92/110.12 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 109.92/110.12 Found k as proof of ((less Xy0) Xy)
% 109.92/110.12 Found x0:(((less x) Xy0)->False)
% 109.92/110.12 Instantiate: Xy0:=y:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less Xy) y)->False)
% 109.92/110.12 Instantiate: Xy:=x:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less x) Xy)->False)
% 109.92/110.12 Instantiate: Xy:=y:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less x) Xy0)->False)
% 109.92/110.12 Instantiate: Xy0:=y:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less x) Xy0)->False)
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less x) Xy0)->False)
% 109.92/110.12 Instantiate: Xy0:=y:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 109.92/110.12 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 109.92/110.12 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 109.92/110.12 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 109.92/110.12 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 109.92/110.12 Found x0:((P b)->False)
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less x) Xy)->False)
% 109.92/110.12 Instantiate: Xy:=y:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less x) Xy)->False)
% 109.92/110.12 Instantiate: Xy:=y:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less x) Xy0)->False)
% 109.92/110.12 Instantiate: Xy0:=y:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less Xy) y)->False)
% 109.92/110.12 Instantiate: Xy:=x:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:((P b)->False)
% 109.92/110.12 Instantiate: b:=y:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found k:((less y) z)
% 109.92/110.12 Instantiate: Xy0:=y:nat
% 109.92/110.12 Found k as proof of ((less Xy0) z)
% 109.92/110.12 Found x0:(((less x) Xy0)->False)
% 109.92/110.12 Instantiate: Xy0:=y:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less x) Xy0)->False)
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:((P b)->False)
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less x) Xy0)->False)
% 109.92/110.12 Instantiate: Xy0:=y:nat
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:((P b)->False)
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less x) Xy0)->False)
% 109.92/110.12 Found x0 as proof of (((less x) y)->False)
% 109.92/110.12 Found x0:(((less Xy) y)->False)
% 109.92/110.12 Instantiate: Xy:=x:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:(((less x) Xy)->False)
% 127.22/127.49 Instantiate: Xy:=y:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found k:((less y) z)
% 127.22/127.49 Instantiate: Xy0:=z:nat;Xy1:=y:nat
% 127.22/127.49 Found k as proof of ((less Xy1) Xy0)
% 127.22/127.49 Found x0:((P b)->False)
% 127.22/127.49 Instantiate: b:=y:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:(((less x) Xy0)->False)
% 127.22/127.49 Instantiate: Xy0:=y:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:(((less x) y)->False)
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:(((less x) y)->False)
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:(((less x) y)->False)
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:(((less x) Xy0)->False)
% 127.22/127.49 Instantiate: Xy0:=y:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:((P b)->False)
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:(((less Xy) y)->False)
% 127.22/127.49 Instantiate: Xy:=x:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found k:((less y) z)
% 127.22/127.49 Instantiate: Xy:=y:nat
% 127.22/127.49 Found k as proof of ((less Xy) z)
% 127.22/127.49 Found x0:(((less x) Xy)->False)
% 127.22/127.49 Instantiate: Xy:=y:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:(((less Xy) b)->False)
% 127.22/127.49 Instantiate: Xy:=x:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:(((less x) Xy)->False)
% 127.22/127.49 Instantiate: Xy:=y:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found l0:(((eq nat) x) y)
% 127.22/127.49 Instantiate: b:=y:nat
% 127.22/127.49 Found l0 as proof of (((eq nat) x) b)
% 127.22/127.49 Found x0:(((less x) Xy0)->False)
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found l0:(((eq nat) x) y)
% 127.22/127.49 Instantiate: b:=x:nat
% 127.22/127.49 Found l0 as proof of (((eq nat) b) y)
% 127.22/127.49 Found l0:(((eq nat) x) y)
% 127.22/127.49 Instantiate: a:=x:nat;b:=y:nat
% 127.22/127.49 Found l0 as proof of (((eq nat) a) b)
% 127.22/127.49 Found x0:(((less x) Xy0)->False)
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found k:((less y) z)
% 127.22/127.49 Instantiate: Xy0:=z:nat;Xy1:=y:nat
% 127.22/127.49 Found k as proof of ((less Xy1) Xy0)
% 127.22/127.49 Found x0:((P b)->False)
% 127.22/127.49 Instantiate: b:=y:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found k:((less y) z)
% 127.22/127.49 Instantiate: Xy0:=z:nat;Xy1:=y:nat
% 127.22/127.49 Found k as proof of ((less Xy1) Xy0)
% 127.22/127.49 Found k:((less y) z)
% 127.22/127.49 Instantiate: Xy1:=y:nat
% 127.22/127.49 Found k as proof of ((less Xy1) z)
% 127.22/127.49 Found x0:(((less x) Xy0)->False)
% 127.22/127.49 Instantiate: Xy0:=y:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found k:((less y) z)
% 127.22/127.49 Instantiate: Xy0:=y:nat
% 127.22/127.49 Found k as proof of ((less Xy0) z)
% 127.22/127.49 Found x0:((P0 b)->False)
% 127.22/127.49 Instantiate: b:=y:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:(((less x) b)->False)
% 127.22/127.49 Instantiate: b:=y:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:(((less x) Xy0)->False)
% 127.22/127.49 Instantiate: Xy0:=y:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:(((less x) Xy0)->False)
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:((P b)->False)
% 127.22/127.49 Instantiate: b:=y:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:(((less x) y)->False)
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found eq_ref00:=(eq_ref0 a):(((eq nat) a) a)
% 127.22/127.49 Found (eq_ref0 a) as proof of (((eq nat) a) b)
% 127.22/127.49 Found ((eq_ref nat) a) as proof of (((eq nat) a) b)
% 127.22/127.49 Found ((eq_ref nat) a) as proof of (((eq nat) a) b)
% 127.22/127.49 Found ((eq_ref nat) a) as proof of (((eq nat) a) b)
% 127.22/127.49 Found k:((less y) z)
% 127.22/127.49 Found k as proof of ((less y) z)
% 127.22/127.49 Found x0:(((less x) y)->False)
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:((P b)->False)
% 127.22/127.49 Instantiate: b:=y:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found x0:(((less x) Xy0)->False)
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found k:((less y) z)
% 127.22/127.49 Instantiate: Xy0:=z:nat;Xy1:=y:nat
% 127.22/127.49 Found k as proof of ((less Xy1) Xy0)
% 127.22/127.49 Found x0:(((less Xy) y)->False)
% 127.22/127.49 Instantiate: Xy:=x:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found k:((less y) z)
% 127.22/127.49 Instantiate: Xy1:=y:nat
% 127.22/127.49 Found k as proof of ((less Xy1) z)
% 127.22/127.49 Found l0:(((eq nat) x) y)
% 127.22/127.49 Instantiate: a:=x:nat;b:=y:nat
% 127.22/127.49 Found l0 as proof of (((eq nat) a) b)
% 127.22/127.49 Found l0:(((eq nat) x) y)
% 127.22/127.49 Instantiate: b:=x:nat
% 127.22/127.49 Found l0 as proof of (((eq nat) b) y)
% 127.22/127.49 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 127.22/127.49 Found (eq_ref0 b) as proof of (((eq nat) b) y)
% 127.22/127.49 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 127.22/127.49 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 127.22/127.49 Found x0:(((less x) Xy)->False)
% 127.22/127.49 Instantiate: Xy:=y:nat
% 127.22/127.49 Found x0 as proof of (((less x) y)->False)
% 127.22/127.49 Found l1:(((eq nat) x) y)
% 127.22/127.49 Instantiate: b:=y:nat
% 153.71/153.92 Found l1 as proof of (((eq nat) x) b)
% 153.71/153.92 Found x0:(((less x) b)->False)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:((P b)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:((P b)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:((P0 b)->False)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found l1:(((eq nat) x) y)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found l1 as proof of (((eq nat) x) b)
% 153.71/153.92 Found k:((less y) z)
% 153.71/153.92 Instantiate: Xy1:=y:nat
% 153.71/153.92 Found k as proof of ((less Xy1) z)
% 153.71/153.92 Found x0:(((less x) b)->False)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less x) Xy0)->False)
% 153.71/153.92 Instantiate: Xy0:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:((P b)->False)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less x) b)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less x) Xy0)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:((P b)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less x) b)->False)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found l1:(((eq nat) x) y)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found l1 as proof of (((eq nat) x) b)
% 153.71/153.92 Found k:((less y) z)
% 153.71/153.92 Instantiate: Xy1:=y:nat
% 153.71/153.92 Found k as proof of ((less Xy1) z)
% 153.71/153.92 Found x0:(((less x) Xy0)->False)
% 153.71/153.92 Instantiate: Xy0:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less x) b)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found k:((less y) z)
% 153.71/153.92 Instantiate: Xy00:=y:nat
% 153.71/153.92 Found k as proof of ((less Xy00) Xy)
% 153.71/153.92 Found k as proof of ((less Xy00) Xy)
% 153.71/153.92 Found x0:(((less x) Xy0)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:((P b)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found l0:(((eq nat) x) y)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found l0 as proof of (((eq nat) x) b)
% 153.71/153.92 Found x0:(((less x) y)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:((P b)->False)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less x) Xy0)->False)
% 153.71/153.92 Instantiate: Xy0:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found k:((less y) z)
% 153.71/153.92 Instantiate: Xy00:=y:nat
% 153.71/153.92 Found k as proof of ((less Xy00) Xy)
% 153.71/153.92 Found k as proof of ((less Xy00) Xy)
% 153.71/153.92 Found k:((less y) z)
% 153.71/153.92 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 153.71/153.92 Found k as proof of ((less Xy0) Xy)
% 153.71/153.92 Found x0:((P b)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less x) Xy0)->False)
% 153.71/153.92 Instantiate: Xy0:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less x) b)->False)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found k:((less y) z)
% 153.71/153.92 Instantiate: Xy:=y:nat
% 153.71/153.92 Found k as proof of ((less Xy) z)
% 153.71/153.92 Found l0:(((eq nat) x) y)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found l0 as proof of (((eq nat) x) b)
% 153.71/153.92 Found x0:((P b)->False)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less x) Xy0)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:((P b)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less x) b)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less x) Xy0)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:((P b)->False)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less x) b)->False)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:((P b)->False)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less x) y)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less x) Xy0)->False)
% 153.71/153.92 Instantiate: Xy0:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less Xy) y)->False)
% 153.71/153.92 Instantiate: Xy:=x:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found x0:(((less x) b)->False)
% 153.71/153.92 Instantiate: b:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found k:((less y) z)
% 153.71/153.92 Instantiate: Xy0:=z:nat;Xy1:=y:nat
% 153.71/153.92 Found k as proof of ((less Xy1) Xy0)
% 153.71/153.92 Found x0:((P b)->False)
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 153.71/153.92 Found k:((less y) z)
% 153.71/153.92 Instantiate: Xy0:=z:nat;Xy1:=y:nat
% 153.71/153.92 Found k as proof of ((less Xy1) Xy0)
% 153.71/153.92 Found x0:(((less x) Xy)->False)
% 153.71/153.92 Instantiate: Xy:=y:nat
% 153.71/153.92 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found k:((less y) z)
% 169.70/169.91 Instantiate: Xy0:=y:nat
% 169.70/169.91 Found k as proof of ((less Xy0) z)
% 169.70/169.91 Found x0:((P b)->False)
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:((P a)->False)
% 169.70/169.91 Instantiate: a:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less x) b)->False)
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less Xy0) y)->False)
% 169.70/169.91 Instantiate: Xy0:=x:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less x) Xy0)->False)
% 169.70/169.91 Instantiate: Xy0:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less Xy0) y)->False)
% 169.70/169.91 Instantiate: Xy0:=x:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less x) Xy0)->False)
% 169.70/169.91 Instantiate: Xy0:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:((P b)->False)
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less x) Xy0)->False)
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less x) b)->False)
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found k:((less y) z)
% 169.70/169.91 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 169.70/169.91 Found k as proof of ((less Xy0) Xy)
% 169.70/169.91 Found x0:(((less x) y)->False)
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:((P a)->False)
% 169.70/169.91 Instantiate: a:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:((P b)->False)
% 169.70/169.91 Instantiate: b:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less x) y)->False)
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less x) b)->False)
% 169.70/169.91 Instantiate: b:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:((P a)->False)
% 169.70/169.91 Instantiate: a:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found k:((less y) z)
% 169.70/169.91 Instantiate: Xy0:=z:nat;Xy1:=y:nat
% 169.70/169.91 Found k as proof of ((less Xy1) Xy0)
% 169.70/169.91 Found l0:(((eq nat) x) y)
% 169.70/169.91 Instantiate: b:=y:nat
% 169.70/169.91 Found l0 as proof of (((eq nat) x) b)
% 169.70/169.91 Found x0:(((less x) Xy)->False)
% 169.70/169.91 Instantiate: Xy:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found l0:(((eq nat) x) y)
% 169.70/169.91 Instantiate: b:=y:nat
% 169.70/169.91 Found l0 as proof of (((eq nat) x) b)
% 169.70/169.91 Found k:((less y) z)
% 169.70/169.91 Instantiate: Xy0:=z:nat;Xy1:=y:nat
% 169.70/169.91 Found k as proof of ((less Xy1) Xy0)
% 169.70/169.91 Found x0:(((less Xy0) y)->False)
% 169.70/169.91 Instantiate: Xy0:=x:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less x) Xy0)->False)
% 169.70/169.91 Instantiate: Xy0:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less Xy0) y)->False)
% 169.70/169.91 Instantiate: Xy0:=x:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less x) Xy0)->False)
% 169.70/169.91 Instantiate: Xy0:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:((P a)->False)
% 169.70/169.91 Instantiate: a:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less Xy0) y)->False)
% 169.70/169.91 Instantiate: Xy0:=x:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less x) Xy0)->False)
% 169.70/169.91 Instantiate: Xy0:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less Xy0) y)->False)
% 169.70/169.91 Instantiate: Xy0:=x:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less x) b)->False)
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less x) Xy0)->False)
% 169.70/169.91 Instantiate: Xy0:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:((P a)->False)
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found k:((less y) z)
% 169.70/169.91 Instantiate: Xy1:=y:nat
% 169.70/169.91 Found k as proof of ((less Xy1) z)
% 169.70/169.91 Found k:((less y) z)
% 169.70/169.91 Instantiate: Xy1:=y:nat
% 169.70/169.91 Found k as proof of ((less Xy1) z)
% 169.70/169.91 Found x0:((P a)->False)
% 169.70/169.91 Instantiate: a:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less x) Xy)->False)
% 169.70/169.91 Instantiate: Xy:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less Xy) y)->False)
% 169.70/169.91 Instantiate: Xy:=x:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:((P b)->False)
% 169.70/169.91 Instantiate: b:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found k:((less y) z)
% 169.70/169.91 Instantiate: Xy:=y:nat;b:=z:nat
% 169.70/169.91 Found k as proof of ((less Xy) b)
% 169.70/169.91 Found x0:((P a)->False)
% 169.70/169.91 Instantiate: a:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:((P b)->False)
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found k:((less y) z)
% 169.70/169.91 Instantiate: Xy0:=y:nat
% 169.70/169.91 Found k as proof of ((less Xy0) z)
% 169.70/169.91 Found x0:((P a)->False)
% 169.70/169.91 Instantiate: a:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less x) Xy)->False)
% 169.70/169.91 Instantiate: Xy:=y:nat
% 169.70/169.91 Found x0 as proof of (((less x) y)->False)
% 169.70/169.91 Found x0:(((less Xy0) y)->False)
% 186.32/186.54 Instantiate: Xy0:=x:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:((P b)->False)
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:(((less x) Xy0)->False)
% 186.32/186.54 Instantiate: Xy0:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:(((less Xy0) y)->False)
% 186.32/186.54 Instantiate: Xy0:=x:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:(((less x) Xy0)->False)
% 186.32/186.54 Instantiate: Xy0:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found l0:(((eq nat) x) y)
% 186.32/186.54 Instantiate: b:=y:nat
% 186.32/186.54 Found l0 as proof of (((eq nat) x) b)
% 186.32/186.54 Found x0:(((less x) y)->False)
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found k:((less y) z)
% 186.32/186.54 Instantiate: Xy1:=y:nat
% 186.32/186.54 Found k as proof of ((less Xy1) z)
% 186.32/186.54 Found x0:((P b)->False)
% 186.32/186.54 Instantiate: b:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found k:((less y) z)
% 186.32/186.54 Instantiate: Xy1:=y:nat
% 186.32/186.54 Found k as proof of ((less Xy1) z)
% 186.32/186.54 Found x0:(((less Xy) y)->False)
% 186.32/186.54 Instantiate: Xy:=x:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:(((less x) Xy)->False)
% 186.32/186.54 Instantiate: Xy:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:((P a)->False)
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:((P b)->False)
% 186.32/186.54 Instantiate: b:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:((P a)->False)
% 186.32/186.54 Instantiate: a:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:(((less Xy) y)->False)
% 186.32/186.54 Instantiate: Xy:=x:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:(((less x) Xy)->False)
% 186.32/186.54 Instantiate: Xy:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:(((less Xy) y)->False)
% 186.32/186.54 Instantiate: Xy:=x:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found k:((less y) z)
% 186.32/186.54 Instantiate: Xy:=y:nat;b:=z:nat
% 186.32/186.54 Found k as proof of ((less Xy) b)
% 186.32/186.54 Found x0:(((less x) Xy)->False)
% 186.32/186.54 Instantiate: Xy:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:((P b)->False)
% 186.32/186.54 Instantiate: b:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:((P b)->False)
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:((P b)->False)
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found k:((less y) z)
% 186.32/186.54 Instantiate: Xy:=y:nat
% 186.32/186.54 Found k as proof of ((less Xy) z)
% 186.32/186.54 Found x0:(((less Xy) y)->False)
% 186.32/186.54 Instantiate: Xy:=x:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found k:((less y) z)
% 186.32/186.54 Instantiate: Xy:=y:nat;b:=z:nat
% 186.32/186.54 Found k as proof of (P b)
% 186.32/186.54 Found x0:(((less Xy) y)->False)
% 186.32/186.54 Instantiate: Xy:=x:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:((P b)->False)
% 186.32/186.54 Instantiate: b:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:(((less x) Xy)->False)
% 186.32/186.54 Instantiate: Xy:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:(((less x) Xy)->False)
% 186.32/186.54 Instantiate: Xy:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found l0:(((eq nat) x) y)
% 186.32/186.54 Instantiate: Xy:=x:nat;b:=y:nat
% 186.32/186.54 Found l0 as proof of (((eq nat) Xy) b)
% 186.32/186.54 Found x0:(((less x) Xy)->False)
% 186.32/186.54 Instantiate: Xy:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:(((less Xy0) y)->False)
% 186.32/186.54 Instantiate: Xy0:=x:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:(((less Xy0) y)->False)
% 186.32/186.54 Instantiate: Xy0:=x:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:((P a)->False)
% 186.32/186.54 Instantiate: a:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:(((less x) Xy0)->False)
% 186.32/186.54 Instantiate: Xy0:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:(((less x) Xy0)->False)
% 186.32/186.54 Instantiate: Xy0:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:((P b)->False)
% 186.32/186.54 Instantiate: b:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found k:((less y) z)
% 186.32/186.54 Instantiate: Xy:=y:nat
% 186.32/186.54 Found k as proof of ((less Xy) z)
% 186.32/186.54 Found x0:((P b)->False)
% 186.32/186.54 Instantiate: b:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found x0:((P a)->False)
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found k:((less y) z)
% 186.32/186.54 Instantiate: Xy:=y:nat;b:=z:nat
% 186.32/186.54 Found k as proof of (P b)
% 186.32/186.54 Found x0:(((less x) Xy)->False)
% 186.32/186.54 Instantiate: Xy:=y:nat
% 186.32/186.54 Found x0 as proof of (((less x) y)->False)
% 186.32/186.54 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 186.32/186.54 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 186.32/186.54 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 186.32/186.54 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 186.32/186.54 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 186.32/186.54 Found x0:((P a)->False)
% 186.32/186.54 Instantiate: a:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) Xy)->False)
% 201.60/201.85 Instantiate: Xy:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found l0:(((eq nat) x) y)
% 201.60/201.85 Instantiate: Xy:=x:nat;b:=y:nat
% 201.60/201.85 Found l0 as proof of (((eq nat) Xy) b)
% 201.60/201.85 Found x0:(((less Xy) y)->False)
% 201.60/201.85 Instantiate: Xy:=x:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) Xy)->False)
% 201.60/201.85 Instantiate: Xy:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:((P b)->False)
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:((P a)->False)
% 201.60/201.85 Instantiate: a:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less Xy0) y)->False)
% 201.60/201.85 Instantiate: Xy0:=x:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less Xy0) y)->False)
% 201.60/201.85 Instantiate: Xy0:=x:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) Xy)->False)
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) Xy0)->False)
% 201.60/201.85 Instantiate: Xy0:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:((P b)->False)
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) Xy0)->False)
% 201.60/201.85 Instantiate: Xy0:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less Xy) y)->False)
% 201.60/201.85 Instantiate: Xy:=x:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) Xy)->False)
% 201.60/201.85 Instantiate: Xy:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) y)->False)
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) Xy)->False)
% 201.60/201.85 Instantiate: Xy:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:((P a)->False)
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:((P b)->False)
% 201.60/201.85 Instantiate: b:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 201.60/201.85 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 201.60/201.85 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 201.60/201.85 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 201.60/201.85 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 201.60/201.85 Found x0:((P a)->False)
% 201.60/201.85 Instantiate: a:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less Xy0) y)->False)
% 201.60/201.85 Instantiate: Xy0:=x:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 201.60/201.85 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 201.60/201.85 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 201.60/201.85 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 201.60/201.85 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 201.60/201.85 Found x0:(((less Xy0) y)->False)
% 201.60/201.85 Instantiate: Xy0:=x:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) Xy0)->False)
% 201.60/201.85 Instantiate: Xy0:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) Xy)->False)
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) Xy0)->False)
% 201.60/201.85 Instantiate: Xy0:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) b)->False)
% 201.60/201.85 Instantiate: b:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:((P b)->False)
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) Xy)->False)
% 201.60/201.85 Instantiate: Xy:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:((P b)->False)
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less Xy) y)->False)
% 201.60/201.85 Instantiate: Xy:=x:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:((P b)->False)
% 201.60/201.85 Instantiate: b:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) b)->False)
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) Xy)->False)
% 201.60/201.85 Instantiate: Xy:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) y)->False)
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 201.60/201.85 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 201.60/201.85 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 201.60/201.85 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 201.60/201.85 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 201.60/201.85 Found x0:(((less Xy0) y)->False)
% 201.60/201.85 Instantiate: Xy0:=x:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less Xy0) y)->False)
% 201.60/201.85 Instantiate: Xy0:=x:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) Xy0)->False)
% 201.60/201.85 Instantiate: Xy0:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 201.60/201.85 Found x0:(((less x) Xy0)->False)
% 201.60/201.85 Instantiate: Xy0:=y:nat
% 201.60/201.85 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) b)->False)
% 221.78/222.03 Instantiate: b:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found k:((less y) z)
% 221.78/222.03 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 221.78/222.03 Found k as proof of ((less Xy0) Xy)
% 221.78/222.03 Found x0:(((less Xy) y)->False)
% 221.78/222.03 Instantiate: Xy:=x:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) Xy)->False)
% 221.78/222.03 Instantiate: Xy:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less Xy) y)->False)
% 221.78/222.03 Instantiate: Xy:=x:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:((P b)->False)
% 221.78/222.03 Instantiate: b:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) Xy)->False)
% 221.78/222.03 Instantiate: Xy:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) Xy)->False)
% 221.78/222.03 Instantiate: Xy:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) Xy)->False)
% 221.78/222.03 Instantiate: Xy:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) b)->False)
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:((P b)->False)
% 221.78/222.03 Instantiate: b:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) Xy)->False)
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found k:((less y) z)
% 221.78/222.03 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 221.78/222.03 Found k as proof of ((less Xy0) Xy)
% 221.78/222.03 Found x0:((P b)->False)
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less Xy) y)->False)
% 221.78/222.03 Instantiate: Xy:=x:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:((P b)->False)
% 221.78/222.03 Instantiate: b:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:((P b)->False)
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) Xy)->False)
% 221.78/222.03 Instantiate: Xy:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) Xy)->False)
% 221.78/222.03 Instantiate: Xy:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found k:((less y) z)
% 221.78/222.03 Instantiate: Xy:=y:nat;b:=z:nat
% 221.78/222.03 Found k as proof of ((less Xy) b)
% 221.78/222.03 Found x0:(((less Xy) y)->False)
% 221.78/222.03 Instantiate: Xy:=x:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) Xy)->False)
% 221.78/222.03 Instantiate: Xy:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) Xy)->False)
% 221.78/222.03 Instantiate: Xy:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) Xy)->False)
% 221.78/222.03 Instantiate: Xy:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:((P b)->False)
% 221.78/222.03 Instantiate: b:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found k:((less y) z)
% 221.78/222.03 Instantiate: Xy0:=y:nat
% 221.78/222.03 Found k as proof of ((less Xy0) z)
% 221.78/222.03 Found x0:(((less x) Xy)->False)
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) y)->False)
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:((P b)->False)
% 221.78/222.03 Instantiate: b:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 221.78/222.03 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 221.78/222.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 221.78/222.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 221.78/222.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 221.78/222.03 Found x0:((P b)->False)
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:((P b)->False)
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) Xy)->False)
% 221.78/222.03 Instantiate: Xy:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found k:((less y) z)
% 221.78/222.03 Instantiate: Xy:=y:nat
% 221.78/222.03 Found k as proof of ((less Xy) z)
% 221.78/222.03 Found x0:((P b)->False)
% 221.78/222.03 Instantiate: b:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found k:((less y) z)
% 221.78/222.03 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 221.78/222.03 Found k as proof of ((less Xy0) Xy)
% 221.78/222.03 Found k:((less y) z)
% 221.78/222.03 Instantiate: Xy0:=y:nat
% 221.78/222.03 Found k as proof of ((less Xy0) z)
% 221.78/222.03 Found x0:((P b)->False)
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) Xy0)->False)
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found x0:(((less x) y)->False)
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 221.78/222.03 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 221.78/222.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 221.78/222.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 221.78/222.03 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 221.78/222.03 Found x0:((P b)->False)
% 221.78/222.03 Instantiate: b:=y:nat
% 221.78/222.03 Found x0 as proof of (((less x) y)->False)
% 221.78/222.03 Found k:((less y) z)
% 221.78/222.03 Instantiate: Xy:=y:nat;b:=z:nat
% 221.78/222.03 Found k as proof of ((less Xy) b)
% 221.78/222.03 Found x0:(((less x) Xy)->False)
% 242.79/243.06 Instantiate: Xy:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found k:((less y) z)
% 242.79/243.06 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 242.79/243.06 Found k as proof of ((less Xy0) Xy)
% 242.79/243.06 Found x0:((P b)->False)
% 242.79/243.06 Instantiate: b:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy0)->False)
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:((P b)->False)
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:((P b)->False)
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:((P a)->False)
% 242.79/243.06 Instantiate: a:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less Xy) y)->False)
% 242.79/243.06 Instantiate: Xy:=x:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy)->False)
% 242.79/243.06 Instantiate: Xy:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy)->False)
% 242.79/243.06 Instantiate: Xy:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:((P b)->False)
% 242.79/243.06 Instantiate: b:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy0)->False)
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy)->False)
% 242.79/243.06 Instantiate: Xy:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy)->False)
% 242.79/243.06 Instantiate: Xy:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found k:((less y) z)
% 242.79/243.06 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 242.79/243.06 Found k as proof of ((less Xy0) Xy)
% 242.79/243.06 Found x0:((P b)->False)
% 242.79/243.06 Instantiate: b:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy)->False)
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy)->False)
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found k:((less y) z)
% 242.79/243.06 Instantiate: Xy0:=y:nat
% 242.79/243.06 Found k as proof of ((less Xy0) z)
% 242.79/243.06 Found x0:(((less x) Xy0)->False)
% 242.79/243.06 Instantiate: Xy0:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy)->False)
% 242.79/243.06 Instantiate: Xy:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:((P a)->False)
% 242.79/243.06 Instantiate: a:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:((P b)->False)
% 242.79/243.06 Instantiate: b:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less Xy) y)->False)
% 242.79/243.06 Instantiate: Xy:=x:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found k:((less y) z)
% 242.79/243.06 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 242.79/243.06 Found k as proof of ((less Xy0) Xy)
% 242.79/243.06 Found x0:(((less x) Xy)->False)
% 242.79/243.06 Instantiate: Xy:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less Xy) y)->False)
% 242.79/243.06 Instantiate: Xy:=x:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy)->False)
% 242.79/243.06 Instantiate: Xy:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy)->False)
% 242.79/243.06 Instantiate: Xy:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:((P b)->False)
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy0)->False)
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:((P b)->False)
% 242.79/243.06 Instantiate: b:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy)->False)
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) a)->False)
% 242.79/243.06 Instantiate: a:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy0)->False)
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:((P b)->False)
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found k:((less y) z)
% 242.79/243.06 Instantiate: Xy0:=y:nat
% 242.79/243.06 Found k as proof of ((less Xy0) z)
% 242.79/243.06 Found x0:(((less x) Xy0)->False)
% 242.79/243.06 Instantiate: Xy0:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy)->False)
% 242.79/243.06 Instantiate: Xy:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) b)->False)
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy0)->False)
% 242.79/243.06 Instantiate: Xy0:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found k:((less y) z)
% 242.79/243.06 Instantiate: Xy0:=y:nat;Xy:=z:nat
% 242.79/243.06 Found k as proof of ((less Xy0) Xy)
% 242.79/243.06 Found x0:(((less x) a)->False)
% 242.79/243.06 Instantiate: a:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less Xy) y)->False)
% 242.79/243.06 Instantiate: Xy:=x:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:((P b)->False)
% 242.79/243.06 Instantiate: b:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy)->False)
% 242.79/243.06 Instantiate: Xy:=y:nat
% 242.79/243.06 Found x0 as proof of (((less x) y)->False)
% 242.79/243.06 Found x0:(((less x) Xy0)->False)
% 266.01/266.32 Instantiate: Xy0:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found k:((less y) z)
% 266.01/266.32 Instantiate: Xy:=y:nat;b:=z:nat
% 266.01/266.32 Found k as proof of ((less Xy) b)
% 266.01/266.32 Found k:((less y) z)
% 266.01/266.32 Instantiate: Xy0:=y:nat
% 266.01/266.32 Found k as proof of ((less Xy0) z)
% 266.01/266.32 Found x0:(((less x) a)->False)
% 266.01/266.32 Instantiate: a:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy0)->False)
% 266.01/266.32 Instantiate: Xy0:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:((P b)->False)
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy0)->False)
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less Xy) b)->False)
% 266.01/266.32 Instantiate: Xy:=x:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy0)->False)
% 266.01/266.32 Instantiate: Xy0:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:((P b)->False)
% 266.01/266.32 Instantiate: b:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy)->False)
% 266.01/266.32 Instantiate: Xy:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy0)->False)
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy)->False)
% 266.01/266.32 Instantiate: Xy:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy)->False)
% 266.01/266.32 Instantiate: Xy:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less Xy) b)->False)
% 266.01/266.32 Instantiate: Xy:=x:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy)->False)
% 266.01/266.32 Instantiate: Xy:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) a)->False)
% 266.01/266.32 Instantiate: a:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy0)->False)
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) b)->False)
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy0)->False)
% 266.01/266.32 Instantiate: Xy0:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy0)->False)
% 266.01/266.32 Instantiate: Xy0:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found k:((less y) z)
% 266.01/266.32 Instantiate: Xy0:=y:nat
% 266.01/266.32 Found k as proof of ((less Xy0) z)
% 266.01/266.32 Found x0:(((less x) Xy)->False)
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found k:((less y) z)
% 266.01/266.32 Instantiate: Xy:=y:nat;b:=z:nat
% 266.01/266.32 Found k as proof of ((less Xy) b)
% 266.01/266.32 Found x0:((P b)->False)
% 266.01/266.32 Instantiate: b:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less Xy) y)->False)
% 266.01/266.32 Instantiate: Xy:=x:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy0)->False)
% 266.01/266.32 Instantiate: Xy0:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less Xy) b)->False)
% 266.01/266.32 Instantiate: Xy:=x:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy)->False)
% 266.01/266.32 Instantiate: Xy:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy)->False)
% 266.01/266.32 Instantiate: Xy:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found k:((less y) z)
% 266.01/266.32 Instantiate: b:=z:nat
% 266.01/266.32 Found k as proof of (P0 y)
% 266.01/266.32 Found x0:(((less x) Xy0)->False)
% 266.01/266.32 Instantiate: Xy0:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found k:((less y) z)
% 266.01/266.32 Instantiate: Xy0:=z:nat;Xy1:=y:nat
% 266.01/266.32 Found k as proof of ((less Xy1) Xy0)
% 266.01/266.32 Found x0:(((less x) b)->False)
% 266.01/266.32 Instantiate: b:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy0)->False)
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:((P0 b)->False)
% 266.01/266.32 Instantiate: b:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:((P b)->False)
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy0)->False)
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:((P b)->False)
% 266.01/266.32 Instantiate: b:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy0)->False)
% 266.01/266.32 Instantiate: Xy0:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy0)->False)
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) Xy0)->False)
% 266.01/266.32 Instantiate: Xy0:=y:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:((P b)->False)
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found k:((less y) z)
% 266.01/266.32 Instantiate: Xy:=y:nat
% 266.01/266.32 Found k as proof of ((less Xy) z)
% 266.01/266.32 Found x0:(((less Xy) y)->False)
% 266.01/266.32 Instantiate: Xy:=x:nat
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:(((less x) b)->False)
% 266.01/266.32 Found x0 as proof of (((less x) y)->False)
% 266.01/266.32 Found x0:((P0 b)->False)
% 266.01/266.32 Instantiate: b:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) b)->False)
% 281.40/281.65 Instantiate: b:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 281.40/281.65 Found (eq_ref0 y) as proof of (((eq nat) y) b0)
% 281.40/281.65 Found ((eq_ref nat) y) as proof of (((eq nat) y) b0)
% 281.40/281.65 Found ((eq_ref nat) y) as proof of (((eq nat) y) b0)
% 281.40/281.65 Found ((eq_ref nat) y) as proof of (((eq nat) y) b0)
% 281.40/281.65 Found x0:(((less x) Xy0)->False)
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found k:((less y) z)
% 281.40/281.65 Instantiate: b:=z:nat
% 281.40/281.65 Found k as proof of (P0 y)
% 281.40/281.65 Found k:((less y) z)
% 281.40/281.65 Instantiate: Xy0:=z:nat;Xy1:=y:nat
% 281.40/281.65 Found k as proof of ((less Xy1) Xy0)
% 281.40/281.65 Found x0:(((less x) Xy)->False)
% 281.40/281.65 Instantiate: Xy:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:((P b)->False)
% 281.40/281.65 Instantiate: b:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) Xy0)->False)
% 281.40/281.65 Instantiate: Xy0:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:((P0 b)->False)
% 281.40/281.65 Instantiate: b:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) b)->False)
% 281.40/281.65 Instantiate: b:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 281.40/281.65 Found (eq_ref0 b) as proof of (((eq nat) b) b0)
% 281.40/281.65 Found ((eq_ref nat) b) as proof of (((eq nat) b) b0)
% 281.40/281.65 Found ((eq_ref nat) b) as proof of (((eq nat) b) b0)
% 281.40/281.65 Found ((eq_ref nat) b) as proof of (((eq nat) b) b0)
% 281.40/281.65 Found k:((less y) z)
% 281.40/281.65 Instantiate: Xy0:=z:nat;Xy1:=y:nat
% 281.40/281.65 Found k as proof of ((less Xy1) Xy0)
% 281.40/281.65 Found x0:(((less x) Xy0)->False)
% 281.40/281.65 Instantiate: Xy0:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) Xy1)->False)
% 281.40/281.65 Instantiate: Xy1:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found k:((less y) z)
% 281.40/281.65 Instantiate: Xy1:=y:nat
% 281.40/281.65 Found k as proof of ((less Xy1) z)
% 281.40/281.65 Found x0:((P b)->False)
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) Xy0)->False)
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) Xy0)->False)
% 281.40/281.65 Instantiate: Xy0:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) b)->False)
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) b)->False)
% 281.40/281.65 Instantiate: b:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) Xy0)->False)
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:((P b)->False)
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) Xy0)->False)
% 281.40/281.65 Instantiate: Xy0:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) b)->False)
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:((P0 b)->False)
% 281.40/281.65 Instantiate: b:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) b)->False)
% 281.40/281.65 Instantiate: b:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) Xy0)->False)
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) b)->False)
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found k:((less y) z)
% 281.40/281.65 Instantiate: Xy0:=z:nat;Xy1:=y:nat
% 281.40/281.65 Found k as proof of ((less Xy1) Xy0)
% 281.40/281.65 Found x0:(((less x) Xy)->False)
% 281.40/281.65 Instantiate: Xy:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found k:((less y) z)
% 281.40/281.65 Instantiate: Xy1:=y:nat
% 281.40/281.65 Found k as proof of ((less Xy1) z)
% 281.40/281.65 Found x0:(((less x) Xy0)->False)
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) Xy1)->False)
% 281.40/281.65 Instantiate: Xy1:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) Xy0)->False)
% 281.40/281.65 Instantiate: Xy0:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less Xy) b)->False)
% 281.40/281.65 Instantiate: Xy:=x:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) Xy)->False)
% 281.40/281.65 Instantiate: Xy:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:((P b)->False)
% 281.40/281.65 Instantiate: b:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) Xy1)->False)
% 281.40/281.65 Instantiate: Xy1:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) Xy0)->False)
% 281.40/281.65 Instantiate: Xy0:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) Xy1)->False)
% 281.40/281.65 Instantiate: Xy1:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found x0:(((less x) Xy00)->False)
% 281.40/281.65 Instantiate: Xy00:=y:nat
% 281.40/281.65 Found x0 as proof of (((less x) y)->False)
% 281.40/281.65 Found k:((less y) z)
% 281.40/281.65 Instantiate: Xy1:=y:nat
% 281.40/281.65 Found k as proof of ((l
%------------------------------------------------------------------------------