TSTP Solution File: NUM681^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM681^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n080.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 13:11:25 EST 2018
% Result : Timeout 291.87s
% 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 : NUM681^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.23 % Computer : n080.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 12:34:33 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.25 Python 2.7.13
% 2.18/2.44 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 2.18/2.44 FOF formula (<kernel.Constant object at 0x2ba16acaecb0>, <kernel.Type object at 0x2ba16acae8c0>) of role type named nat_type
% 2.18/2.44 Using role type
% 2.18/2.44 Declaring nat:Type
% 2.18/2.44 FOF formula (<kernel.Constant object at 0x2ba16a233cf8>, <kernel.Constant object at 0x2ba16acaefc8>) of role type named x
% 2.18/2.44 Using role type
% 2.18/2.44 Declaring x:nat
% 2.18/2.44 FOF formula (<kernel.Constant object at 0x2ba16a233cf8>, <kernel.Constant object at 0x2ba16acaefc8>) of role type named y
% 2.18/2.44 Using role type
% 2.18/2.44 Declaring y:nat
% 2.18/2.44 FOF formula (<kernel.Constant object at 0x2ba16acaecb0>, <kernel.Constant object at 0x2ba16acaefc8>) of role type named z
% 2.18/2.44 Using role type
% 2.18/2.44 Declaring z:nat
% 2.18/2.44 FOF formula (<kernel.Constant object at 0x2ba16acae908>, <kernel.DependentProduct object at 0x2ba16acaecf8>) of role type named pl
% 2.18/2.44 Using role type
% 2.18/2.44 Declaring pl:(nat->(nat->nat))
% 2.18/2.44 FOF formula (((eq nat) ((pl x) z)) ((pl y) z)) of role axiom named i
% 2.18/2.44 A new axiom: (((eq nat) ((pl x) z)) ((pl y) z))
% 2.18/2.44 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et
% 2.18/2.44 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa))
% 2.18/2.44 FOF formula (<kernel.Constant object at 0x2ba16acae098>, <kernel.DependentProduct object at 0x2ba16acaefc8>) of role type named less
% 2.18/2.44 Using role type
% 2.18/2.44 Declaring less:(nat->(nat->Prop))
% 2.18/2.44 FOF formula (<kernel.Constant object at 0x2ba16acaecb0>, <kernel.DependentProduct object at 0x2ba16acae368>) of role type named more
% 2.18/2.44 Using role type
% 2.18/2.44 Declaring more:(nat->(nat->Prop))
% 2.18/2.44 FOF formula (forall (Xx:nat) (Xy:nat), ((((((eq nat) Xx) Xy)->(((more Xx) Xy)->False))->((((((more Xx) Xy)->(((less Xx) Xy)->False))->((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False))->False)->False))->False)) of role axiom named satz10b
% 2.18/2.44 A new axiom: (forall (Xx:nat) (Xy:nat), ((((((eq nat) Xx) Xy)->(((more Xx) Xy)->False))->((((((more Xx) Xy)->(((less Xx) Xy)->False))->((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False))->False)->False))->False))
% 2.18/2.44 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat), (((less Xx) Xy)->((less ((pl Xx) Xz)) ((pl Xy) Xz)))) of role axiom named satz19c
% 2.18/2.44 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat), (((less Xx) Xy)->((less ((pl Xx) Xz)) ((pl Xy) Xz))))
% 2.18/2.44 FOF formula (forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->((((more Xx) Xy)->False)->((less Xx) Xy)))) of role axiom named satz10a
% 2.18/2.44 A new axiom: (forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->((((more Xx) Xy)->False)->((less Xx) Xy))))
% 2.18/2.44 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat), (((more Xx) Xy)->((more ((pl Xx) Xz)) ((pl Xy) Xz)))) of role axiom named satz19a
% 2.18/2.44 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat), (((more Xx) Xy)->((more ((pl Xx) Xz)) ((pl Xy) Xz))))
% 2.18/2.44 FOF formula (((eq nat) x) y) of role conjecture named satz20b
% 2.18/2.44 Conjecture to prove = (((eq nat) x) y):Prop
% 2.18/2.44 We need to prove ['(((eq nat) x) y)']
% 2.18/2.44 Parameter nat:Type.
% 2.18/2.44 Parameter x:nat.
% 2.18/2.44 Parameter y:nat.
% 2.18/2.44 Parameter z:nat.
% 2.18/2.44 Parameter pl:(nat->(nat->nat)).
% 2.18/2.44 Axiom i:(((eq nat) ((pl x) z)) ((pl y) z)).
% 2.18/2.44 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)).
% 2.18/2.44 Parameter less:(nat->(nat->Prop)).
% 2.18/2.44 Parameter more:(nat->(nat->Prop)).
% 2.18/2.44 Axiom satz10b:(forall (Xx:nat) (Xy:nat), ((((((eq nat) Xx) Xy)->(((more Xx) Xy)->False))->((((((more Xx) Xy)->(((less Xx) Xy)->False))->((((less Xx) Xy)->(not (((eq nat) Xx) Xy)))->False))->False)->False))->False)).
% 2.18/2.44 Axiom satz19c:(forall (Xx:nat) (Xy:nat) (Xz:nat), (((less Xx) Xy)->((less ((pl Xx) Xz)) ((pl Xy) Xz)))).
% 2.18/2.44 Axiom satz10a:(forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->((((more Xx) Xy)->False)->((less Xx) Xy)))).
% 2.18/2.44 Axiom satz19a:(forall (Xx:nat) (Xy:nat) (Xz:nat), (((more Xx) Xy)->((more ((pl Xx) Xz)) ((pl Xy) Xz)))).
% 2.18/2.44 Trying to prove (((eq nat) x) y)
% 2.18/2.44 Found i0:=(i (fun (x0:nat)=> (P x))):((P x)->(P x))
% 2.18/2.44 Found (i (fun (x0:nat)=> (P x))) as proof of (P0 x)
% 2.18/2.44 Found (i (fun (x0:nat)=> (P x))) as proof of (P0 x)
% 2.18/2.44 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 2.18/2.44 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 2.18/2.44 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 2.18/2.44 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 2.18/2.44 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 11.21/11.40 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 11.21/11.40 Found (eq_ref0 b) as proof of (((eq nat) b) y)
% 11.21/11.40 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 11.21/11.40 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 11.21/11.40 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 11.21/11.40 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 11.21/11.40 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 11.21/11.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 11.21/11.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 11.21/11.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 11.21/11.40 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 11.21/11.40 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 11.21/11.40 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 11.21/11.40 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 11.21/11.40 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 11.21/11.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 11.21/11.40 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 11.21/11.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 11.21/11.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 11.21/11.40 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 11.21/11.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 11.21/11.40 Found x0:(P x)
% 11.21/11.40 Instantiate: b:=x:nat
% 11.21/11.40 Found x0 as proof of (P0 b)
% 11.21/11.40 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 11.21/11.40 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 11.21/11.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 11.21/11.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 11.21/11.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 11.21/11.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 11.21/11.40 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 11.21/11.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 11.21/11.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 11.21/11.40 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 11.21/11.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 11.21/11.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 11.21/11.40 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 11.21/11.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 11.21/11.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 11.21/11.40 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 11.21/11.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 11.21/11.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 11.21/11.40 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 11.21/11.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 11.21/11.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 11.21/11.40 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 11.21/11.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 11.21/11.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 11.21/11.40 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 11.21/11.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 11.21/11.40 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 11.21/11.40 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 11.21/11.40 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 11.21/11.40 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 11.21/11.40 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 11.21/11.40 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 11.21/11.40 Found (eq_ref0 b) as proof of (((eq nat) b) y)
% 11.21/11.40 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 11.21/11.40 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 11.21/11.40 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 11.21/11.40 Found x0:(P y)
% 11.21/11.40 Instantiate: b:=y:nat
% 11.21/11.40 Found x0 as proof of (P0 b)
% 11.21/11.40 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 11.21/11.40 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 11.21/11.40 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 11.21/11.40 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 11.21/11.40 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 11.21/11.40 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 11.21/11.40 Found (eq_ref0 b) as proof of (P b)
% 11.21/11.40 Found ((eq_ref nat) b) as proof of (P b)
% 11.21/11.40 Found ((eq_ref nat) b) as proof of (P b)
% 11.21/11.40 Found ((eq_ref nat) b) as proof of (P b)
% 11.21/11.40 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 11.21/11.40 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 11.21/11.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 11.21/11.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 11.21/11.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 11.21/11.40 Found i0:=(i (fun (x0:nat)=> (P x))):((P x)->(P x))
% 22.19/22.39 Found (i (fun (x0:nat)=> (P x))) as proof of (P0 x)
% 22.19/22.39 Found (i (fun (x0:nat)=> (P x))) as proof of (P0 x)
% 22.19/22.39 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 22.19/22.39 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 22.19/22.39 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 22.19/22.39 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 22.19/22.39 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 22.19/22.39 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 22.19/22.39 Found (eq_ref0 b) as proof of (((eq nat) b) y)
% 22.19/22.39 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 22.19/22.39 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 22.19/22.39 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 22.19/22.39 Found x0:((((eq nat) x) y)->False)
% 22.19/22.39 Instantiate: Xx:=x:nat;Xy:=y:nat
% 22.19/22.39 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 22.19/22.39 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 22.19/22.39 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 22.19/22.39 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 22.19/22.39 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 22.19/22.39 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 22.19/22.39 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 22.19/22.39 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 22.19/22.39 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 22.19/22.39 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 22.19/22.39 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 22.19/22.39 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 22.19/22.39 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 22.19/22.39 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 22.19/22.39 Found i as proof of (((eq nat) Xx) Xy)
% 22.19/22.39 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 22.19/22.39 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 22.19/22.39 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 22.19/22.39 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 22.19/22.39 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 22.19/22.39 Found i as proof of (((eq nat) Xx) Xy)
% 22.19/22.39 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 22.19/22.39 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 22.19/22.39 Found i as proof of (((eq nat) Xx) Xy)
% 22.19/22.39 Found x5:((more Xx) Xy)
% 22.19/22.39 Found x5 as proof of ((more Xx) Xy)
% 22.19/22.39 Found x5:(((eq nat) Xx) Xy)
% 22.19/22.39 Found x5 as proof of (((eq nat) Xx) Xy)
% 22.19/22.39 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 22.19/22.39 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 22.19/22.39 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 22.19/22.39 Found i0:=(i (fun (x0:nat)=> (P b))):((P b)->(P b))
% 22.19/22.39 Found (i (fun (x0:nat)=> (P b))) as proof of (P0 b)
% 22.19/22.39 Found (i (fun (x0:nat)=> (P b))) as proof of (P0 b)
% 22.19/22.39 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 22.19/22.39 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 22.19/22.39 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 22.19/22.39 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 22.19/22.39 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 22.19/22.39 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 22.19/22.39 Found x5:(((eq nat) Xx) Xy)
% 22.19/22.39 Found x5 as proof of (((eq nat) Xx) Xy)
% 22.19/22.39 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 22.19/22.39 Found (eq_ref0 x) as proof of (((eq nat) x) b0)
% 22.19/22.39 Found ((eq_ref nat) x) as proof of (((eq nat) x) b0)
% 22.19/22.39 Found ((eq_ref nat) x) as proof of (((eq nat) x) b0)
% 22.19/22.39 Found ((eq_ref nat) x) as proof of (((eq nat) x) b0)
% 22.19/22.39 Found eq_ref00:=(eq_ref0 b0):(((eq nat) b0) b0)
% 22.19/22.39 Found (eq_ref0 b0) as proof of (((eq nat) b0) y)
% 22.19/22.39 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) y)
% 22.19/22.39 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) y)
% 22.19/22.39 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) y)
% 22.19/22.39 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 22.19/22.39 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 22.19/22.39 Found i as proof of (((eq nat) Xx) Xy)
% 22.19/22.39 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 22.19/22.39 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 22.19/22.39 Found x5:(((eq nat) Xx) Xy)
% 22.19/22.39 Found x5 as proof of (((eq nat) Xx) Xy)
% 22.19/22.39 Found x5:(((eq nat) Xx) Xy)
% 22.19/22.39 Found x5 as proof of (((eq nat) Xx) Xy)
% 22.19/22.39 Found x20:=(x2 i__eq_sym):(((more Xx) Xy)->False)
% 22.19/22.39 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 22.19/22.39 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 22.19/22.39 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 22.19/22.39 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 22.19/22.39 Found i as proof of (((eq nat) Xx) Xy)
% 22.19/22.39 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 32.07/32.29 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 32.07/32.29 Found i as proof of (((eq nat) Xx) Xy)
% 32.07/32.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 32.07/32.29 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 32.07/32.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 32.07/32.29 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 32.07/32.29 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 32.07/32.29 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 32.07/32.29 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 32.07/32.29 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 32.07/32.29 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 32.07/32.29 Found i as proof of (((eq nat) Xx) Xy)
% 32.07/32.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 32.07/32.29 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 32.07/32.29 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 32.07/32.29 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 32.07/32.29 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found i0:=(i (fun (x0:nat)=> (P y))):((P y)->(P y))
% 32.07/32.29 Found (i (fun (x0:nat)=> (P y))) as proof of (P0 y)
% 32.07/32.29 Found (i (fun (x0:nat)=> (P y))) as proof of (P0 y)
% 32.07/32.29 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 32.07/32.29 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 32.07/32.29 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 32.07/32.29 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 32.07/32.29 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 32.07/32.29 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 32.07/32.29 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 32.07/32.29 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 32.07/32.29 Found x0:((((eq nat) x) y)->False)
% 32.07/32.29 Instantiate: Xx:=x:nat;Xy:=y:nat
% 32.07/32.29 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 32.07/32.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 32.07/32.29 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 32.07/32.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 32.07/32.29 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 32.07/32.29 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 32.07/32.29 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 32.07/32.29 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 32.07/32.29 Found x0:((((eq nat) y) x)->False)
% 32.07/32.29 Instantiate: Xx:=y:nat;Xy:=x:nat
% 32.07/32.29 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 32.07/32.29 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 32.07/32.29 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 32.07/32.29 Found i as proof of (((eq nat) Xx) Xy)
% 32.07/32.29 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 32.07/32.29 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 32.07/32.29 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 32.07/32.29 Found i as proof of (((eq nat) Xx) Xy)
% 32.07/32.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 32.07/32.29 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 48.51/48.73 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 48.51/48.73 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found i0:=(i (fun (x0:nat)=> (P x))):((P x)->(P x))
% 48.51/48.73 Found (i (fun (x0:nat)=> (P x))) as proof of (P0 x)
% 48.51/48.73 Found (i (fun (x0:nat)=> (P x))) as proof of (P0 x)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 48.51/48.73 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 48.51/48.73 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 48.51/48.73 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 48.51/48.73 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 48.51/48.73 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 48.51/48.73 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found i0:=(i (fun (x0:nat)=> (P b))):((P b)->(P b))
% 48.51/48.73 Found (i (fun (x0:nat)=> (P b))) as proof of (P0 b)
% 48.51/48.73 Found (i (fun (x0:nat)=> (P b))) as proof of (P0 b)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 48.51/48.73 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 48.51/48.73 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 48.51/48.73 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 48.51/48.73 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 48.51/48.73 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 48.51/48.73 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 48.51/48.73 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 48.51/48.73 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found eq_ref00:=(eq_ref0 b0):(((eq nat) b0) b0)
% 48.51/48.73 Found (eq_ref0 b0) as proof of (((eq nat) b0) x)
% 48.51/48.73 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) x)
% 48.51/48.73 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) x)
% 48.51/48.73 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) x)
% 48.51/48.73 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 48.51/48.73 Found (eq_ref0 y) as proof of (((eq nat) y) b0)
% 48.51/48.73 Found ((eq_ref nat) y) as proof of (((eq nat) y) b0)
% 48.51/48.73 Found ((eq_ref nat) y) as proof of (((eq nat) y) b0)
% 48.51/48.73 Found ((eq_ref nat) y) as proof of (((eq nat) y) b0)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 48.51/48.73 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 48.51/48.73 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found x10:=(x1 i):(((more Xx) Xy)->False)
% 48.51/48.73 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 48.51/48.73 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 48.51/48.73 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 48.51/48.73 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 48.51/48.73 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 48.51/48.73 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 48.51/48.73 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 48.51/48.73 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found x5:((more Xx) Xy)
% 48.51/48.73 Found x5 as proof of ((more Xx) Xy)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 48.51/48.73 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 48.51/48.73 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 48.51/48.73 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 48.51/48.73 Found i as proof of (((eq nat) Xx) Xy)
% 48.51/48.73 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 48.51/48.73 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 48.51/48.73 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 48.51/48.73 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 58.22/58.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 58.22/58.40 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 58.22/58.40 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 58.22/58.40 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 58.22/58.40 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 58.22/58.40 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 58.22/58.40 Found (eq_ref0 b) as proof of (((eq nat) b) y)
% 58.22/58.40 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 58.22/58.40 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 58.22/58.40 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 58.22/58.40 Found x5:((more Xx) Xy)
% 58.22/58.40 Found x5 as proof of ((more Xx) Xy)
% 58.22/58.40 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 58.22/58.40 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 58.22/58.40 Found i as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 58.22/58.40 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 58.22/58.40 Found x5:(((eq nat) Xx) Xy)
% 58.22/58.40 Found x5 as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 58.22/58.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 58.22/58.40 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 58.22/58.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 58.22/58.40 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 58.22/58.40 Found i as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 58.22/58.40 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 58.22/58.40 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 58.22/58.40 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 58.22/58.40 Found i as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 58.22/58.40 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 58.22/58.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 58.22/58.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 58.22/58.40 Found i as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found x5:(((eq nat) Xx) Xy)
% 58.22/58.40 Found x5 as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 58.22/58.40 Found (eq_ref0 y) as proof of (((eq nat) y) b0)
% 58.22/58.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b0)
% 58.22/58.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b0)
% 58.22/58.40 Found ((eq_ref nat) y) as proof of (((eq nat) y) b0)
% 58.22/58.40 Found eq_ref00:=(eq_ref0 b0):(((eq nat) b0) b0)
% 58.22/58.40 Found (eq_ref0 b0) as proof of (((eq nat) b0) b)
% 58.22/58.40 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) b)
% 58.22/58.40 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) b)
% 58.22/58.40 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) b)
% 58.22/58.40 Found x10:=(x1 i):(((more Xx) Xy)->False)
% 58.22/58.40 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 58.22/58.40 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 58.22/58.40 Found x5:(((eq nat) Xx) Xy)
% 58.22/58.40 Found x5 as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 58.22/58.40 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 58.22/58.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 58.22/58.40 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 58.22/58.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 58.22/58.40 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 58.22/58.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 58.22/58.40 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 58.22/58.40 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 58.22/58.40 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 58.22/58.40 Found i as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found x0:((((eq nat) y) x)->False)
% 58.22/58.40 Instantiate: Xx:=y:nat;Xy:=x:nat
% 58.22/58.40 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 58.22/58.40 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 58.22/58.40 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 58.22/58.40 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 58.22/58.40 Found i as proof of (((eq nat) Xx) Xy)
% 58.22/58.40 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 58.22/58.40 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found x5:(((eq nat) Xx) Xy)
% 71.66/71.85 Found x5 as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found x5:(((eq nat) Xx) Xy)
% 71.66/71.85 Found x5 as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 71.66/71.85 Found i as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 71.66/71.85 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 71.66/71.85 Found i as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 71.66/71.85 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 71.66/71.85 Found i as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 71.66/71.85 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 71.66/71.85 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 82.22/82.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 82.22/82.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 82.22/82.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 82.22/82.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 82.22/82.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 82.22/82.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 82.22/82.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 82.22/82.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 82.22/82.41 Found i as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 82.22/82.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 82.22/82.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 82.22/82.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 82.22/82.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 82.22/82.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 82.22/82.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 82.22/82.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 82.22/82.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 82.22/82.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 82.22/82.41 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 82.22/82.41 Found i as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 82.22/82.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 82.22/82.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 82.22/82.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 82.22/82.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 82.22/82.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 82.22/82.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 82.22/82.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 82.22/82.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 82.22/82.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 82.22/82.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 82.22/82.41 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 82.22/82.41 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 82.22/82.41 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 82.22/82.41 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 82.22/82.41 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 82.22/82.41 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 82.22/82.41 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 82.22/82.41 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 82.22/82.41 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 82.22/82.41 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 82.22/82.41 Found (eq_ref0 b) as proof of (((eq nat) b) x)
% 82.22/82.41 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 82.22/82.41 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 82.22/82.41 Found ((eq_ref nat) b) as proof of (((eq nat) b) x)
% 82.22/82.41 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 82.22/82.41 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 82.22/82.41 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 82.22/82.41 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 82.22/82.41 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 82.22/82.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 82.22/82.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 82.22/82.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 82.22/82.41 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 82.22/82.41 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 82.22/82.41 Found i as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 91.16/91.42 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 91.16/91.42 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 91.16/91.42 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 91.16/91.42 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 91.16/91.42 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 91.16/91.42 Found i as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 91.16/91.42 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 91.16/91.42 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 91.16/91.42 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 91.16/91.42 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 91.16/91.42 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 91.16/91.42 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 91.16/91.42 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 91.16/91.42 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 91.16/91.42 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 91.16/91.42 Found i as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 91.16/91.42 Found i as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 91.16/91.42 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 91.16/91.42 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 91.16/91.42 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 91.16/91.42 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 91.16/91.42 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 91.16/91.42 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 91.16/91.42 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 91.16/91.42 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 91.16/91.42 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 91.16/91.42 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 91.16/91.42 Found i as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 91.16/91.42 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 91.16/91.42 Found i as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 91.16/91.42 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 91.16/91.42 Found i as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 91.16/91.42 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 91.16/91.42 Found i as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 91.16/91.42 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 91.16/91.42 Found i as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found eq_ref00:=(eq_ref0 b0):(((eq nat) b0) b0)
% 91.16/91.42 Found (eq_ref0 b0) as proof of (((eq nat) b0) b)
% 91.16/91.42 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) b)
% 91.16/91.42 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) b)
% 91.16/91.42 Found ((eq_ref nat) b0) as proof of (((eq nat) b0) b)
% 91.16/91.42 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 91.16/91.42 Found (eq_ref0 x) as proof of (((eq nat) x) b0)
% 91.16/91.42 Found ((eq_ref nat) x) as proof of (((eq nat) x) b0)
% 91.16/91.42 Found ((eq_ref nat) x) as proof of (((eq nat) x) b0)
% 91.16/91.42 Found ((eq_ref nat) x) as proof of (((eq nat) x) b0)
% 91.16/91.42 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 91.16/91.42 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 91.16/91.42 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 91.16/91.42 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 91.16/91.42 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 103.22/103.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 103.22/103.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 103.22/103.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 103.22/103.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 103.22/103.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 103.22/103.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 103.22/103.41 Found i as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found satz19a0000:=(satz19a000 z):((more ((pl y) z)) ((pl x) z))
% 103.22/103.41 Found (satz19a000 z) as proof of ((more Xx) Xy)
% 103.22/103.41 Found ((fun (Xz:nat)=> ((satz19a00 Xz) x00)) z) as proof of ((more Xx) Xy)
% 103.22/103.41 Found ((fun (Xz:nat)=> (((satz19a0 x) Xz) x00)) z) as proof of ((more Xx) Xy)
% 103.22/103.41 Found ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z) as proof of ((more Xx) Xy)
% 103.22/103.41 Found ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z) as proof of ((more Xx) Xy)
% 103.22/103.41 Found ((x1 i__eq_sym) ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z)) as proof of False
% 103.22/103.41 Found (fun (x00:((more y) x))=> ((x1 i__eq_sym) ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z))) as proof of False
% 103.22/103.41 Found (fun (x00:((more y) x))=> ((x1 i__eq_sym) ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z))) as proof of (((more y) x)->False)
% 103.22/103.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 103.22/103.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 103.22/103.41 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 103.22/103.41 Found i as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 103.22/103.41 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 103.22/103.41 Found i as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 103.22/103.41 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 103.22/103.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 103.22/103.41 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 103.22/103.41 Found i as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 103.22/103.41 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 103.22/103.41 Found i as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 103.22/103.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 103.22/103.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found x5:((more Xx) Xy)
% 103.22/103.41 Found x5 as proof of ((more Xx) Xy)
% 103.22/103.41 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 103.22/103.41 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 103.22/103.41 Found i as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 103.22/103.41 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 103.22/103.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 103.22/103.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 103.22/103.41 Found i as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 103.22/103.41 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 103.22/103.41 Found satz19a0000:=(satz19a000 z):((more ((pl y) z)) ((pl x) z))
% 103.22/103.41 Found (satz19a000 z) as proof of ((more Xx) Xy)
% 103.22/103.41 Found ((fun (Xz:nat)=> ((satz19a00 Xz) x00)) z) as proof of ((more Xx) Xy)
% 103.22/103.41 Found ((fun (Xz:nat)=> (((satz19a0 x) Xz) x00)) z) as proof of ((more Xx) Xy)
% 103.22/103.41 Found ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z) as proof of ((more Xx) Xy)
% 103.22/103.41 Found ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z) as proof of ((more Xx) Xy)
% 103.22/103.41 Found ((x1 i__eq_sym) ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z)) as proof of False
% 103.22/103.41 Found (fun (x00:((more y) x))=> ((x1 i__eq_sym) ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z))) as proof of False
% 103.22/103.41 Found (fun (x00:((more y) x))=> ((x1 i__eq_sym) ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z))) as proof of (((more y) x)->False)
% 103.22/103.41 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 115.77/115.96 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 115.77/115.96 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 115.77/115.96 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 115.77/115.96 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 115.77/115.96 Found i as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 115.77/115.96 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 115.77/115.96 Found i as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 115.77/115.96 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 115.77/115.96 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 115.77/115.96 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 115.77/115.96 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 115.77/115.96 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 115.77/115.96 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 115.77/115.96 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 115.77/115.96 Found i as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found x5:(((eq nat) ((pl y) z)) Xy)
% 115.77/115.96 Found x5 as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 115.77/115.96 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 115.77/115.96 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 115.77/115.96 Found i as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 115.77/115.96 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 115.77/115.96 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 115.77/115.96 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 115.77/115.96 Found i as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 115.77/115.96 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 115.77/115.96 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 115.77/115.96 Found i as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found satz19a0000:=(satz19a000 z):((more ((pl y) z)) ((pl x) z))
% 115.77/115.96 Found (satz19a000 z) as proof of ((more Xx) Xy)
% 115.77/115.96 Found ((fun (Xz:nat)=> ((satz19a00 Xz) x00)) z) as proof of ((more Xx) Xy)
% 115.77/115.96 Found ((fun (Xz:nat)=> (((satz19a0 x) Xz) x00)) z) as proof of ((more Xx) Xy)
% 115.77/115.96 Found ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z) as proof of ((more Xx) Xy)
% 115.77/115.96 Found ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z) as proof of ((more Xx) Xy)
% 115.77/115.96 Found ((x2 i__eq_sym) ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z)) as proof of False
% 115.77/115.96 Found (fun (x00:((more y) x))=> ((x2 i__eq_sym) ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z))) as proof of False
% 115.77/115.96 Found (fun (x00:((more y) x))=> ((x2 i__eq_sym) ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z))) as proof of (((more y) x)->False)
% 115.77/115.96 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 115.77/115.96 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 115.77/115.96 Found i as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 115.77/115.96 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 115.77/115.96 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 115.77/115.96 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 115.77/115.96 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 115.77/115.96 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 115.77/115.96 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 115.77/115.96 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 115.77/115.96 Found x0:((((eq nat) x) y)->False)
% 115.77/115.96 Instantiate: Xx:=x:nat;Xy:=y:nat
% 115.77/115.96 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 115.77/115.96 Found x0:((((eq nat) x) y)->False)
% 115.77/115.96 Instantiate: Xx:=x:nat;Xy:=y:nat
% 115.77/115.96 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 115.77/115.96 Found x10:(((more Xx) Xy)->False)
% 115.77/115.96 Found x10 as proof of (((more Xx) Xy)->False)
% 129.95/130.19 Found x0:((((eq nat) x) y)->False)
% 129.95/130.19 Instantiate: Xx:=x:nat;Xy:=y:nat
% 129.95/130.19 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 129.95/130.19 Found ((satz10a00 x0) x10) as proof of ((less Xx) Xy)
% 129.95/130.19 Found (((satz10a0 Xy) x0) x10) as proof of ((less Xx) Xy)
% 129.95/130.19 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 129.95/130.19 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 129.95/130.19 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 129.95/130.19 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found x5:(((eq nat) ((pl y) z)) Xy)
% 129.95/130.19 Found x5 as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found x0:((((eq nat) x) y)->False)
% 129.95/130.19 Instantiate: Xx:=x:nat;Xy:=y:nat
% 129.95/130.19 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 129.95/130.19 Found (satz10a000 x0) as proof of ((less Xx) Xy)
% 129.95/130.19 Found ((fun (x5:(not (((eq nat) Xx) Xy)))=> ((satz10a00 x5) x10)) x0) as proof of ((less Xx) Xy)
% 129.95/130.19 Found ((fun (x5:(not (((eq nat) Xx) Xy)))=> (((satz10a0 Xy) x5) x10)) x0) as proof of ((less Xx) Xy)
% 129.95/130.19 Found ((fun (x5:(not (((eq nat) Xx) Xy)))=> ((((satz10a Xx) Xy) x5) x10)) x0) as proof of ((less Xx) Xy)
% 129.95/130.19 Found ((fun (x5:(not (((eq nat) Xx) Xy)))=> ((((satz10a Xx) Xy) x5) x10)) x0) as proof of ((less Xx) Xy)
% 129.95/130.19 Found x5:(((eq nat) Xx) Xy)
% 129.95/130.19 Found x5 as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 129.95/130.19 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 129.95/130.19 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 129.95/130.19 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 129.95/130.19 Found i as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 129.95/130.19 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 129.95/130.19 Found i as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 129.95/130.19 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 129.95/130.19 Found i as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 129.95/130.19 Found i as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 129.95/130.19 Found i as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found x10:(((more Xx) Xy)->False)
% 129.95/130.19 Found x10 as proof of (((more Xx) Xy)->False)
% 129.95/130.19 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 129.95/130.19 Found i as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 129.95/130.19 Found i as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 129.95/130.19 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found x6:(((eq nat) ((pl y) z)) Xy)
% 129.95/130.19 Found x6 as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 129.95/130.19 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 129.95/130.19 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 129.95/130.19 Found i as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 129.95/130.19 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 129.95/130.19 Found i as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found x5:(((eq nat) Xx) Xy)
% 129.95/130.19 Found x5 as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 129.95/130.19 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 129.95/130.19 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 129.95/130.19 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 129.95/130.19 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 129.95/130.19 Found i as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 129.95/130.19 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found x20:(((more Xx) Xy)->False)
% 129.95/130.19 Found x20 as proof of (((more Xx) Xy)->False)
% 129.95/130.19 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 129.95/130.19 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 129.95/130.19 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 129.95/130.19 Found i as proof of (((eq nat) Xx) Xy)
% 129.95/130.19 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 129.95/130.19 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 129.95/130.19 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 129.95/130.19 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 129.95/130.19 Found i as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 142.32/142.52 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 142.32/142.52 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 142.32/142.52 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 142.32/142.52 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 142.32/142.52 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 142.32/142.52 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 142.32/142.52 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 142.32/142.52 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 142.32/142.52 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 142.32/142.52 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 142.32/142.52 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 142.32/142.52 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 142.32/142.52 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 142.32/142.52 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found x5:((more Xx) Xy)
% 142.32/142.52 Found x5 as proof of ((more Xx) Xy)
% 142.32/142.52 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 142.32/142.52 Found i as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found x5:(((eq nat) Xx) Xy)
% 142.32/142.52 Found x5 as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 142.32/142.52 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found x5:(((eq nat) Xx) Xy)
% 142.32/142.52 Found x5 as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 142.32/142.52 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 142.32/142.52 Found i as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 142.32/142.52 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 142.32/142.52 Found i as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 142.32/142.52 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 142.32/142.52 Found i as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found x6:(((eq nat) Xx) Xy)
% 142.32/142.52 Found x6 as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found x0:((((eq nat) x) y)->False)
% 142.32/142.52 Instantiate: Xx:=x:nat;Xy:=y:nat
% 142.32/142.52 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 142.32/142.52 Found x0:((((eq nat) x) y)->False)
% 142.32/142.52 Instantiate: Xx:=x:nat;Xy:=y:nat
% 142.32/142.52 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 142.32/142.52 Found x10:(((more Xx) Xy)->False)
% 142.32/142.52 Found x10 as proof of (((more Xx) Xy)->False)
% 142.32/142.52 Found ((satz10a00 x0) x10) as proof of ((less Xx) Xy)
% 142.32/142.52 Found (((satz10a0 Xy) x0) x10) as proof of ((less Xx) Xy)
% 142.32/142.52 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 142.32/142.52 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 142.32/142.52 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 142.32/142.52 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 142.32/142.52 Found i as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 142.32/142.52 Found i as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 142.32/142.52 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 142.32/142.52 Found i as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 142.32/142.52 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 142.32/142.52 Found i as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 142.32/142.52 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 142.32/142.52 Found i as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 142.32/142.52 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 142.32/142.52 Found i as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 142.32/142.52 Found i as proof of (((eq nat) Xx) Xy)
% 142.32/142.52 Found False_rect00:=(False_rect0 ((more ((pl x) z)) Xy)):((more ((pl x) z)) Xy)
% 142.32/142.52 Found (False_rect0 ((more ((pl x) z)) Xy)) as proof of ((more ((pl x) z)) Xy)
% 142.32/142.52 Found ((fun (P:Type)=> ((False_rect P) x20)) ((more ((pl x) z)) Xy)) as proof of ((more ((pl x) z)) Xy)
% 142.32/142.52 Found ((fun (P:Type)=> ((False_rect P) x20)) ((more ((pl x) z)) Xy)) as proof of ((more ((pl x) z)) Xy)
% 154.05/154.27 Found (i0 ((fun (P:Type)=> ((False_rect P) x20)) ((more ((pl x) z)) Xy))) as proof of ((more Xx) Xy)
% 154.05/154.27 Found ((i (fun (x3:nat)=> ((more x3) Xy))) ((fun (P:Type)=> ((False_rect P) x20)) ((more ((pl x) z)) Xy))) as proof of ((more Xx) Xy)
% 154.05/154.27 Found ((i (fun (x3:nat)=> ((more x3) Xy))) ((fun (P:Type)=> ((False_rect P) x20)) ((more ((pl x) z)) Xy))) as proof of ((more Xx) Xy)
% 154.05/154.27 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 154.05/154.27 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 154.05/154.27 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 154.05/154.27 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 154.05/154.27 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 154.05/154.27 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 154.05/154.27 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 154.05/154.27 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 154.05/154.27 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 154.05/154.27 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 154.05/154.27 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 154.05/154.27 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 154.05/154.27 Found i as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 154.05/154.27 Found i as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 154.05/154.27 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 154.05/154.27 Found i as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 154.05/154.27 Found i as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 154.05/154.27 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 154.05/154.27 Found i as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 154.05/154.27 Found i as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found x6:(((eq nat) Xx) Xy)
% 154.05/154.27 Found x6 as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found x5:(((eq nat) Xx) Xy)
% 154.05/154.27 Found x5 as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 154.05/154.27 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found x6:(((eq nat) Xx) Xy)
% 154.05/154.27 Found x6 as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found x10:(((more Xx) Xy)->False)
% 154.05/154.27 Found x10 as proof of (((more Xx) Xy)->False)
% 154.05/154.27 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 154.05/154.27 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 154.05/154.27 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found x10:(((more Xx) Xy)->False)
% 154.05/154.27 Found x10 as proof of (((more Xx) Xy)->False)
% 154.05/154.27 Found x6:(((eq nat) Xx) Xy)
% 154.05/154.27 Found x6 as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found x6:(((eq nat) Xx) Xy)
% 154.05/154.27 Found x6 as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found x0:((((eq nat) x) y)->False)
% 154.05/154.27 Instantiate: Xx:=x:nat;Xy:=y:nat
% 154.05/154.27 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 154.05/154.27 Found x10:(((more Xx) Xy)->False)
% 154.05/154.27 Found x10 as proof of (((more Xx) Xy)->False)
% 154.05/154.27 Found ((satz10a00 x0) x10) as proof of ((less Xx) Xy)
% 154.05/154.27 Found (((satz10a0 Xy) x0) x10) as proof of ((less Xx) Xy)
% 154.05/154.27 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 154.05/154.27 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 154.05/154.27 Found x0:((((eq nat) x) y)->False)
% 154.05/154.27 Instantiate: Xx:=x:nat;Xy:=y:nat
% 154.05/154.27 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 154.05/154.27 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 154.05/154.27 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 154.05/154.27 Found i as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 154.05/154.27 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 154.05/154.27 Found i as proof of (((eq nat) Xx) Xy)
% 154.05/154.27 Found False_rect00:=(False_rect0 ((more ((pl x) z)) Xy)):((more ((pl x) z)) Xy)
% 154.05/154.27 Found (False_rect0 ((more ((pl x) z)) Xy)) as proof of ((more ((pl x) z)) Xy)
% 154.05/154.27 Found ((fun (P0:Type)=> ((False_rect P0) x20)) ((more ((pl x) z)) Xy)) as proof of ((more ((pl x) z)) Xy)
% 154.05/154.27 Found ((fun (P0:Type)=> ((False_rect P0) x20)) ((more ((pl x) z)) Xy)) as proof of ((more ((pl x) z)) Xy)
% 154.05/154.27 Found (i0 ((fun (P0:Type)=> ((False_rect P0) x20)) ((more ((pl x) z)) Xy))) as proof of ((more Xx) Xy)
% 154.05/154.27 Found ((i (fun (x3:nat)=> ((more x3) Xy))) ((fun (P0:Type)=> ((False_rect P0) x20)) ((more ((pl x) z)) Xy))) as proof of ((more Xx) Xy)
% 154.05/154.27 Found ((i (fun (x3:nat)=> ((more x3) Xy))) ((fun (P0:Type)=> ((False_rect P0) x20)) ((more ((pl x) z)) Xy))) as proof of ((more Xx) Xy)
% 169.91/170.11 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 169.91/170.11 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 169.91/170.11 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 169.91/170.11 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 169.91/170.11 Found i as proof of (((eq nat) Xx) Xy)
% 169.91/170.11 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 169.91/170.11 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 169.91/170.11 Found i as proof of (((eq nat) Xx) Xy)
% 169.91/170.11 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 169.91/170.11 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 169.91/170.11 Found i as proof of (((eq nat) Xx) Xy)
% 169.91/170.11 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 169.91/170.11 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 169.91/170.11 Found i as proof of (((eq nat) Xx) Xy)
% 169.91/170.11 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 169.91/170.11 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 169.91/170.11 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 169.91/170.11 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 169.91/170.11 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 169.91/170.11 Found i as proof of (((eq nat) Xx) Xy)
% 169.91/170.11 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 169.91/170.11 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 169.91/170.11 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 169.91/170.11 Found x10:(((more Xx) Xy)->False)
% 169.91/170.11 Found x10 as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found x6:(((eq nat) Xx) Xy)
% 169.91/170.11 Found x6 as proof of (((eq nat) Xx) Xy)
% 169.91/170.11 Found x6:(((eq nat) Xx) Xy)
% 169.91/170.11 Found x6 as proof of (((eq nat) Xx) Xy)
% 169.91/170.11 Found x10:(((more Xx) Xy)->False)
% 169.91/170.11 Found x10 as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 169.91/170.11 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 169.91/170.11 Found i as proof of (((eq nat) Xx) Xy)
% 169.91/170.11 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found x20:(((more Xx) Xy)->False)
% 169.91/170.11 Found x20 as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found x10:(((more Xx) Xy)->False)
% 169.91/170.11 Found x10 as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 169.91/170.11 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 169.91/170.11 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 169.91/170.11 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 169.91/170.11 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 169.91/170.11 Found i as proof of (((eq nat) Xx) Xy)
% 169.91/170.11 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 169.91/170.11 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 169.91/170.11 Found i as proof of (((eq nat) Xx) Xy)
% 169.91/170.11 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 169.91/170.11 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 169.91/170.11 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 169.91/170.11 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 169.91/170.11 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 169.91/170.11 Found False_rect00:=(False_rect0 ((more ((pl x) z)) Xy)):((more ((pl x) z)) Xy)
% 169.91/170.11 Found (False_rect0 ((more ((pl x) z)) Xy)) as proof of ((more ((pl x) z)) Xy)
% 169.91/170.11 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((more ((pl x) z)) Xy)) as proof of ((more ((pl x) z)) Xy)
% 169.91/170.11 Found ((fun (P0:Type)=> ((False_rect P0) x30)) ((more ((pl x) z)) Xy)) as proof of ((more ((pl x) z)) Xy)
% 169.91/170.11 Found (i0 ((fun (P0:Type)=> ((False_rect P0) x30)) ((more ((pl x) z)) Xy))) as proof of ((more Xx) Xy)
% 169.91/170.11 Found ((i (fun (x4:nat)=> ((more x4) Xy))) ((fun (P0:Type)=> ((False_rect P0) x30)) ((more ((pl x) z)) Xy))) as proof of ((more Xx) Xy)
% 169.91/170.11 Found ((i (fun (x4:nat)=> ((more x4) Xy))) ((fun (P0:Type)=> ((False_rect P0) x30)) ((more ((pl x) z)) Xy))) as proof of ((more Xx) Xy)
% 169.91/170.11 Found x20:=(x2 i__eq_sym):(((more Xx) Xy)->False)
% 169.91/170.11 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 169.91/170.11 Found x20:=(x2 i__eq_sym):(((more Xx) Xy)->False)
% 169.91/170.11 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 186.28/186.48 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 186.28/186.48 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 186.28/186.48 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 186.28/186.48 Found i as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 186.28/186.48 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 186.28/186.48 Found i as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found x20:(((more Xx) Xy)->False)
% 186.28/186.48 Found x20 as proof of (((more Xx) Xy)->False)
% 186.28/186.48 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 186.28/186.48 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 186.28/186.48 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found x10:(((more Xx) Xy)->False)
% 186.28/186.48 Found x10 as proof of (((more Xx) Xy)->False)
% 186.28/186.48 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 186.28/186.48 Found i as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found x20:(((more Xx) Xy)->False)
% 186.28/186.48 Found x20 as proof of (((more Xx) Xy)->False)
% 186.28/186.48 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 186.28/186.48 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 186.28/186.48 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 186.28/186.48 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 186.28/186.48 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 186.28/186.48 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 186.28/186.48 Found x20:=(x2 i__eq_sym):(((more Xx) Xy)->False)
% 186.28/186.48 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 186.28/186.48 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 186.28/186.48 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 186.28/186.48 Found i as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found x0:(P x)
% 186.28/186.48 Instantiate: b:=x:nat
% 186.28/186.48 Found x0 as proof of (P0 b)
% 186.28/186.48 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 186.28/186.48 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 186.28/186.48 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 186.28/186.48 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 186.28/186.48 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 186.28/186.48 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 186.28/186.48 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 186.28/186.48 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 186.28/186.48 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 186.28/186.48 Found i as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 186.28/186.48 Found i as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 186.28/186.48 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 186.28/186.48 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 186.28/186.48 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 186.28/186.48 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 186.28/186.48 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 186.28/186.48 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 186.28/186.48 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 186.28/186.48 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found x20:(((more Xx) Xy)->False)
% 186.28/186.48 Found x20 as proof of (((more Xx) Xy)->False)
% 186.28/186.48 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 186.28/186.48 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 186.28/186.48 Found i as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 186.28/186.48 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 186.28/186.48 Found x5:((more Xx) Xy)
% 186.28/186.48 Found x5 as proof of ((more Xx) Xy)
% 186.28/186.48 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 186.28/186.48 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 186.28/186.48 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 186.28/186.48 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 186.28/186.48 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 186.28/186.48 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 198.79/198.99 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 198.79/198.99 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 198.79/198.99 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found x5:(((eq nat) Xx) Xy)
% 198.79/198.99 Found x5 as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 198.79/198.99 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 198.79/198.99 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 198.79/198.99 Found i as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 198.79/198.99 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 198.79/198.99 Found i as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found satz19a0000:=(satz19a000 z):((more ((pl x) z)) ((pl y) z))
% 198.79/198.99 Found (satz19a000 z) as proof of ((more Xx) Xy)
% 198.79/198.99 Found ((fun (Xz:nat)=> ((satz19a00 Xz) x00)) z) as proof of ((more Xx) Xy)
% 198.79/198.99 Found ((fun (Xz:nat)=> (((satz19a0 y) Xz) x00)) z) as proof of ((more Xx) Xy)
% 198.79/198.99 Found ((fun (Xz:nat)=> ((((satz19a x) y) Xz) x00)) z) as proof of ((more Xx) Xy)
% 198.79/198.99 Found ((fun (Xz:nat)=> ((((satz19a x) y) Xz) x00)) z) as proof of ((more Xx) Xy)
% 198.79/198.99 Found ((x1 i) ((fun (Xz:nat)=> ((((satz19a x) y) Xz) x00)) z)) as proof of False
% 198.79/198.99 Found (fun (x00:((more x) y))=> ((x1 i) ((fun (Xz:nat)=> ((((satz19a x) y) Xz) x00)) z))) as proof of False
% 198.79/198.99 Found (fun (x00:((more x) y))=> ((x1 i) ((fun (Xz:nat)=> ((((satz19a x) y) Xz) x00)) z))) as proof of (((more x) y)->False)
% 198.79/198.99 Found x0:((((eq nat) x) y)->False)
% 198.79/198.99 Instantiate: Xx:=x:nat;Xy:=y:nat
% 198.79/198.99 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 198.79/198.99 Found x10:(((more Xx) Xy)->False)
% 198.79/198.99 Found x10 as proof of (((more Xx) Xy)->False)
% 198.79/198.99 Found ((satz10a00 x0) x10) as proof of ((less Xx) Xy)
% 198.79/198.99 Found (((satz10a0 Xy) x0) x10) as proof of ((less Xx) Xy)
% 198.79/198.99 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 198.79/198.99 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 198.79/198.99 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 198.79/198.99 Found i as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 198.79/198.99 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 198.79/198.99 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 198.79/198.99 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 198.79/198.99 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 198.79/198.99 Found i as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 198.79/198.99 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 198.79/198.99 Found i as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 198.79/198.99 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 198.79/198.99 Found i as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 198.79/198.99 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 198.79/198.99 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 198.79/198.99 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 198.79/198.99 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 198.79/198.99 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 198.79/198.99 Found i as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 198.79/198.99 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 198.79/198.99 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found x5:(((eq nat) Xx) Xy)
% 198.79/198.99 Found x5 as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 198.79/198.99 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 198.79/198.99 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 198.79/198.99 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 198.79/198.99 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 198.79/198.99 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 209.12/209.32 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 209.12/209.32 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 209.12/209.32 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 209.12/209.32 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 209.12/209.32 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found x5:(((eq nat) Xx) Xy)
% 209.12/209.32 Found x5 as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 209.12/209.32 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 209.12/209.32 Found i as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found (x2 i) as proof of (((more Xx) Xy)->False)
% 209.12/209.32 Found (x2 i) as proof of (((more Xx) Xy)->False)
% 209.12/209.32 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 209.12/209.32 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found x10:(((more Xx) Xy)->False)
% 209.12/209.32 Found x10 as proof of (((more Xx) Xy)->False)
% 209.12/209.32 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 209.12/209.32 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 209.12/209.32 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 209.12/209.32 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 209.12/209.32 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found x10:(((more Xx) Xy)->False)
% 209.12/209.32 Found x10 as proof of (((more Xx) Xy)->False)
% 209.12/209.32 Found x6:(((eq nat) Xx) Xy)
% 209.12/209.32 Found x6 as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 209.12/209.32 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 209.12/209.32 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 209.12/209.32 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 209.12/209.32 Found x6:(((eq nat) Xx) Xy)
% 209.12/209.32 Found x6 as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found x0:((((eq nat) x) y)->False)
% 209.12/209.32 Instantiate: Xx:=x:nat;Xy:=y:nat
% 209.12/209.32 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 209.12/209.32 Found x0:((((eq nat) x) y)->False)
% 209.12/209.32 Instantiate: Xx:=x:nat;Xy:=y:nat
% 209.12/209.32 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 209.12/209.32 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 209.12/209.32 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 209.12/209.32 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found x10:(((more Xx) Xy)->False)
% 209.12/209.32 Found x10 as proof of (((more Xx) Xy)->False)
% 209.12/209.32 Found x0:((((eq nat) x) y)->False)
% 209.12/209.32 Instantiate: Xx:=x:nat;Xy:=y:nat
% 209.12/209.32 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 209.12/209.32 Found ((satz10a00 x0) x10) as proof of ((less Xx) Xy)
% 209.12/209.32 Found (((satz10a0 Xy) x0) x10) as proof of ((less Xx) Xy)
% 209.12/209.32 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 209.12/209.32 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 209.12/209.32 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 209.12/209.32 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 209.12/209.32 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 209.12/209.32 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 209.12/209.32 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 209.12/209.32 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 209.12/209.32 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 209.12/209.32 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 209.12/209.32 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found x0:((((eq nat) y) x)->False)
% 209.12/209.32 Instantiate: Xx:=y:nat;Xy:=x:nat
% 209.12/209.32 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 209.12/209.32 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 209.12/209.32 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 209.12/209.32 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 209.12/209.32 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 209.12/209.32 Found i as proof of (((eq nat) Xx) Xy)
% 209.12/209.32 Found x0:((((eq nat) y) x)->False)
% 209.12/209.32 Instantiate: Xx:=y:nat;Xy:=x:nat
% 209.12/209.32 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 209.12/209.32 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 209.12/209.32 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 209.12/209.32 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found x0:((((eq nat) y) x)->False)
% 217.78/218.00 Instantiate: Xx:=y:nat;Xy:=x:nat
% 217.78/218.00 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 217.78/218.00 Found x10:(((more Xx) Xy)->False)
% 217.78/218.00 Found x10 as proof of (((more Xx) Xy)->False)
% 217.78/218.00 Found ((satz10a00 x0) x10) as proof of ((less Xx) Xy)
% 217.78/218.00 Found (((satz10a0 Xy) x0) x10) as proof of ((less Xx) Xy)
% 217.78/218.00 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 217.78/218.00 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 217.78/218.00 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 217.78/218.00 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 217.78/218.00 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 217.78/218.00 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 217.78/218.00 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 217.78/218.00 Found i as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 217.78/218.00 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 217.78/218.00 Found i as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 217.78/218.00 Found i as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found satz19a0000:=(satz19a000 z):((more ((pl y) z)) ((pl x) z))
% 217.78/218.00 Found (satz19a000 z) as proof of ((more Xx) Xy)
% 217.78/218.00 Found ((fun (Xz:nat)=> ((satz19a00 Xz) x00)) z) as proof of ((more Xx) Xy)
% 217.78/218.00 Found ((fun (Xz:nat)=> (((satz19a0 x) Xz) x00)) z) as proof of ((more Xx) Xy)
% 217.78/218.00 Found ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z) as proof of ((more Xx) Xy)
% 217.78/218.00 Found ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z) as proof of ((more Xx) Xy)
% 217.78/218.00 Found ((x1 i__eq_sym) ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z)) as proof of False
% 217.78/218.00 Found (fun (x00:((more y) x))=> ((x1 i__eq_sym) ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z))) as proof of False
% 217.78/218.00 Found (fun (x00:((more y) x))=> ((x1 i__eq_sym) ((fun (Xz:nat)=> ((((satz19a y) x) Xz) x00)) z))) as proof of (((more y) x)->False)
% 217.78/218.00 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 217.78/218.00 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 217.78/218.00 Found i as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 217.78/218.00 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 217.78/218.00 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 217.78/218.00 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 217.78/218.00 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 217.78/218.00 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 217.78/218.00 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found x0:((((eq nat) y) x)->False)
% 217.78/218.00 Instantiate: Xx:=y:nat;Xy:=x:nat
% 217.78/218.00 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 217.78/218.00 Found (satz10a000 x0) as proof of ((less Xx) Xy)
% 217.78/218.00 Found ((fun (x5:(not (((eq nat) Xx) Xy)))=> ((satz10a00 x5) x10)) x0) as proof of ((less Xx) Xy)
% 217.78/218.00 Found ((fun (x5:(not (((eq nat) Xx) Xy)))=> (((satz10a0 Xy) x5) x10)) x0) as proof of ((less Xx) Xy)
% 217.78/218.00 Found ((fun (x5:(not (((eq nat) Xx) Xy)))=> ((((satz10a Xx) Xy) x5) x10)) x0) as proof of ((less Xx) Xy)
% 217.78/218.00 Found ((fun (x5:(not (((eq nat) Xx) Xy)))=> ((((satz10a Xx) Xy) x5) x10)) x0) as proof of ((less Xx) Xy)
% 217.78/218.00 Found x6:(((eq nat) Xx) Xy)
% 217.78/218.00 Found x6 as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found x10:(((more Xx) Xy)->False)
% 217.78/218.00 Found x10 as proof of (((more Xx) Xy)->False)
% 217.78/218.00 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 217.78/218.00 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found x6:(((eq nat) Xx) Xy)
% 217.78/218.00 Found x6 as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 217.78/218.00 Found i as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 217.78/218.00 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 217.78/218.00 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found x5:(((eq nat) Xx) ((pl y) z))
% 217.78/218.00 Found x5 as proof of (((eq nat) Xx) Xy)
% 217.78/218.00 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 227.84/228.07 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 227.84/228.07 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 227.84/228.07 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 227.84/228.07 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 227.84/228.07 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 227.84/228.07 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 227.84/228.07 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 227.84/228.07 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 227.84/228.07 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 227.84/228.07 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 227.84/228.07 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 227.84/228.07 Found x10:(((more Xx) Xy)->False)
% 227.84/228.07 Found x10 as proof of (((more Xx) Xy)->False)
% 227.84/228.07 Found x20:(((more Xx) Xy)->False)
% 227.84/228.07 Found x20 as proof of (((more Xx) Xy)->False)
% 227.84/228.07 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 227.84/228.07 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 227.84/228.07 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 227.84/228.07 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 227.84/228.07 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 227.84/228.07 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 227.84/228.07 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 227.84/228.07 Found x20:=(x2 i):(((more Xx) Xy)->False)
% 227.84/228.07 Found (x2 i) as proof of (((more Xx) Xy)->False)
% 227.84/228.07 Found (x2 i) as proof of (((more Xx) Xy)->False)
% 227.84/228.07 Found x0:((((eq nat) x) y)->False)
% 227.84/228.07 Instantiate: Xx:=x:nat;Xy:=y:nat
% 227.84/228.07 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 227.84/228.07 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 227.84/228.07 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 227.84/228.07 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 227.84/228.07 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 227.84/228.07 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 227.84/228.07 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 227.84/228.07 Found x0:((((eq nat) x) y)->False)
% 227.84/228.07 Instantiate: Xx:=x:nat;Xy:=y:nat
% 227.84/228.07 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 227.84/228.07 Found x10:(((more Xx) Xy)->False)
% 227.84/228.07 Found x10 as proof of (((more Xx) Xy)->False)
% 227.84/228.07 Found ((satz10a00 x0) x10) as proof of ((less Xx) Xy)
% 227.84/228.07 Found (((satz10a0 Xy) x0) x10) as proof of ((less Xx) Xy)
% 227.84/228.07 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 227.84/228.07 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 227.84/228.07 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 227.84/228.07 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 227.84/228.07 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 227.84/228.07 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 227.84/228.07 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 227.84/228.07 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 227.84/228.07 Found x10:(((more Xx) Xy)->False)
% 227.84/228.07 Found x10 as proof of (((more Xx) Xy)->False)
% 227.84/228.07 Found x0:((((eq nat) x) y)->False)
% 227.84/228.07 Instantiate: Xx:=x:nat;Xy:=y:nat
% 227.84/228.07 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 227.84/228.07 Found (satz10a000 x0) as proof of ((less Xx) Xy)
% 227.84/228.07 Found ((fun (x5:(not (((eq nat) Xx) Xy)))=> ((satz10a00 x5) x10)) x0) as proof of ((less Xx) Xy)
% 227.84/228.07 Found ((fun (x5:(not (((eq nat) Xx) Xy)))=> (((satz10a0 Xy) x5) x10)) x0) as proof of ((less Xx) Xy)
% 227.84/228.07 Found ((fun (x5:(not (((eq nat) Xx) Xy)))=> ((((satz10a Xx) Xy) x5) x10)) x0) as proof of ((less Xx) Xy)
% 227.84/228.07 Found ((fun (x5:(not (((eq nat) Xx) Xy)))=> ((((satz10a Xx) Xy) x5) x10)) x0) as proof of ((less Xx) Xy)
% 227.84/228.07 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 227.84/228.07 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 227.84/228.07 Found i as proof of (((eq nat) Xx) Xy)
% 227.84/228.07 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 227.84/228.07 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 227.84/228.07 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 227.84/228.07 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 227.84/228.07 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 227.84/228.07 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 227.84/228.07 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 227.84/228.07 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 238.93/239.16 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 238.93/239.16 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 238.93/239.16 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found x5:((more Xx) Xy)
% 238.93/239.16 Found x5 as proof of ((more Xx) Xy)
% 238.93/239.16 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 238.93/239.16 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 238.93/239.16 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 238.93/239.16 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 238.93/239.16 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 238.93/239.16 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 238.93/239.16 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 238.93/239.16 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 238.93/239.16 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 238.93/239.16 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 238.93/239.16 Found x20:(((more Xx) Xy)->False)
% 238.93/239.16 Found x20 as proof of (((more Xx) Xy)->False)
% 238.93/239.16 Found x5:(((eq nat) Xx) Xy)
% 238.93/239.16 Found x5 as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found satz19a0000:=(satz19a000 z):((more ((pl x) z)) ((pl y) z))
% 238.93/239.16 Found (satz19a000 z) as proof of ((more Xx) Xy)
% 238.93/239.16 Found ((fun (Xz:nat)=> ((satz19a00 Xz) x01)) z) as proof of ((more Xx) Xy)
% 238.93/239.16 Found ((fun (Xz:nat)=> (((satz19a0 y) Xz) x01)) z) as proof of ((more Xx) Xy)
% 238.93/239.16 Found ((fun (Xz:nat)=> ((((satz19a x) y) Xz) x01)) z) as proof of ((more Xx) Xy)
% 238.93/239.16 Found ((fun (Xz:nat)=> ((((satz19a x) y) Xz) x01)) z) as proof of ((more Xx) Xy)
% 238.93/239.16 Found ((x1 i) ((fun (Xz:nat)=> ((((satz19a x) y) Xz) x01)) z)) as proof of False
% 238.93/239.16 Found (fun (x01:((more x) y))=> ((x1 i) ((fun (Xz:nat)=> ((((satz19a x) y) Xz) x01)) z))) as proof of False
% 238.93/239.16 Found (fun (x01:((more x) y))=> ((x1 i) ((fun (Xz:nat)=> ((((satz19a x) y) Xz) x01)) z))) as proof of (((more x) y)->False)
% 238.93/239.16 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 238.93/239.16 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 238.93/239.16 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 238.93/239.16 Found i as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 238.93/239.16 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 238.93/239.16 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found x20:(((more Xx) Xy)->False)
% 238.93/239.16 Found x20 as proof of (((more Xx) Xy)->False)
% 238.93/239.16 Found x10:(((more Xx) Xy)->False)
% 238.93/239.16 Found x10 as proof of (((more Xx) Xy)->False)
% 238.93/239.16 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 238.93/239.16 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 238.93/239.16 Found i as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 238.93/239.16 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found x5:(((eq nat) Xx) Xy)
% 238.93/239.16 Found x5 as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 238.93/239.16 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 238.93/239.16 Found i as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 238.93/239.16 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found x5:(((eq nat) ((pl y) z)) Xy)
% 238.93/239.16 Found x5 as proof of (((eq nat) Xx) Xy)
% 238.93/239.16 Found x20:=(x2 i__eq_sym):(((more Xx) Xy)->False)
% 238.93/239.16 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 238.93/239.16 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 238.93/239.16 Found x10:(((more Xx) Xy)->False)
% 238.93/239.16 Found x10 as proof of (((more Xx) Xy)->False)
% 238.93/239.16 Found x0:((((eq nat) x) y)->False)
% 238.93/239.16 Instantiate: Xx:=x:nat;Xy:=y:nat
% 238.93/239.16 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 238.93/239.16 Found ((satz10a00 x0) x10) as proof of ((less Xx) Xy)
% 238.93/239.16 Found (((satz10a0 Xy) x0) x10) as proof of ((less Xx) Xy)
% 238.93/239.16 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 250.39/250.60 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 250.39/250.60 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 250.39/250.60 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 250.39/250.60 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 250.39/250.60 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 250.39/250.60 Found i as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 250.39/250.60 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 250.39/250.60 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 250.39/250.60 Found i as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 250.39/250.60 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 250.39/250.60 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 250.39/250.60 Found i as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 250.39/250.60 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 250.39/250.60 Found i as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 250.39/250.60 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 250.39/250.60 Found x10:(((more Xx) Xy)->False)
% 250.39/250.60 Found x10 as proof of (((more Xx) Xy)->False)
% 250.39/250.60 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 250.39/250.60 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 250.39/250.60 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 250.39/250.60 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found x5:(((eq nat) Xx) Xy)
% 250.39/250.60 Found x5 as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 250.39/250.60 Found i as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 250.39/250.60 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 250.39/250.60 Found i as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 250.39/250.60 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 250.39/250.60 Found x5:(((eq nat) Xx) Xy)
% 250.39/250.60 Found x5 as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 250.39/250.60 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 250.39/250.60 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 250.39/250.60 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 250.39/250.60 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 250.39/250.60 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 250.39/250.60 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 250.39/250.60 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 250.39/250.60 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 250.39/250.60 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 250.39/250.60 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 250.39/250.60 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 250.39/250.60 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 250.39/250.60 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 250.39/250.60 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 250.39/250.60 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 250.39/250.60 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 250.39/250.60 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 250.39/250.60 Found i as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found (x2 i) as proof of (((more Xx) Xy)->False)
% 250.39/250.60 Found (x2 i) as proof of (((more Xx) Xy)->False)
% 250.39/250.60 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 250.39/250.60 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 250.39/250.60 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 250.39/250.60 Found x5:(((eq nat) Xx) Xy)
% 250.39/250.60 Found x5 as proof of (((eq nat) Xx) Xy)
% 261.12/261.35 Found x20:(((more Xx) Xy)->False)
% 261.12/261.35 Found x20 as proof of (((more Xx) Xy)->False)
% 261.12/261.35 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 261.12/261.35 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 261.12/261.35 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 261.12/261.35 Found x10:(((more Xx) Xy)->False)
% 261.12/261.35 Found x10 as proof of (((more Xx) Xy)->False)
% 261.12/261.35 Found x5:(((eq nat) Xx) Xy)
% 261.12/261.35 Found x5 as proof of (((eq nat) Xx) Xy)
% 261.12/261.35 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 261.12/261.35 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 261.12/261.35 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 261.12/261.35 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 261.12/261.35 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 261.12/261.35 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 261.12/261.35 Found (eq_ref0 b) as proof of (((eq nat) b) y)
% 261.12/261.35 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 261.12/261.35 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 261.12/261.35 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 261.12/261.35 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 261.12/261.35 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 261.12/261.35 Found i as proof of (((eq nat) Xx) Xy)
% 261.12/261.35 Found x6:(((eq nat) Xx) Xy)
% 261.12/261.35 Found x6 as proof of (((eq nat) Xx) Xy)
% 261.12/261.35 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 261.12/261.35 Found (eq_ref0 b) as proof of (P b)
% 261.12/261.35 Found ((eq_ref nat) b) as proof of (P b)
% 261.12/261.35 Found ((eq_ref nat) b) as proof of (P b)
% 261.12/261.35 Found ((eq_ref nat) b) as proof of (P b)
% 261.12/261.35 Found eq_ref00:=(eq_ref0 y):(((eq nat) y) y)
% 261.12/261.35 Found (eq_ref0 y) as proof of (((eq nat) y) b)
% 261.12/261.35 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 261.12/261.35 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 261.12/261.35 Found ((eq_ref nat) y) as proof of (((eq nat) y) b)
% 261.12/261.35 Found x6:(((eq nat) Xx) Xy)
% 261.12/261.35 Found x6 as proof of (((eq nat) Xx) Xy)
% 261.12/261.35 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 261.12/261.35 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 261.12/261.35 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 261.12/261.35 Found x0:(P y)
% 261.12/261.35 Instantiate: b:=y:nat
% 261.12/261.35 Found x0 as proof of (P0 b)
% 261.12/261.35 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 261.12/261.35 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 261.12/261.35 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 261.12/261.35 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 261.12/261.35 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 261.12/261.35 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 261.12/261.35 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 261.12/261.35 Found x0:((((eq nat) y) x)->False)
% 261.12/261.35 Instantiate: Xx:=y:nat;Xy:=x:nat
% 261.12/261.35 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 261.12/261.35 Found i0:=(i (fun (x0:nat)=> (P x))):((P x)->(P x))
% 261.12/261.35 Found (i (fun (x0:nat)=> (P x))) as proof of (P0 x)
% 261.12/261.35 Found (i (fun (x0:nat)=> (P x))) as proof of (P0 x)
% 261.12/261.35 Found eq_ref00:=(eq_ref0 x):(((eq nat) x) x)
% 261.12/261.35 Found (eq_ref0 x) as proof of (((eq nat) x) b)
% 261.12/261.35 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 261.12/261.35 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 261.12/261.35 Found ((eq_ref nat) x) as proof of (((eq nat) x) b)
% 261.12/261.35 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 261.12/261.35 Found (eq_ref0 b) as proof of (((eq nat) b) y)
% 261.12/261.35 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 261.12/261.35 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 261.12/261.35 Found ((eq_ref nat) b) as proof of (((eq nat) b) y)
% 261.12/261.35 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 261.12/261.35 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 261.12/261.35 Found x0:((((eq nat) y) x)->False)
% 261.12/261.35 Instantiate: Xx:=y:nat;Xy:=x:nat
% 261.12/261.35 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 261.12/261.35 Found x10:(((more Xx) Xy)->False)
% 261.12/261.35 Found x10 as proof of (((more Xx) Xy)->False)
% 261.12/261.35 Found ((satz10a00 x0) x10) as proof of ((less Xx) Xy)
% 261.12/261.35 Found (((satz10a0 Xy) x0) x10) as proof of ((less Xx) Xy)
% 261.12/261.35 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 261.12/261.35 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 261.12/261.35 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 261.12/261.35 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 261.12/261.35 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 261.12/261.35 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 261.12/261.35 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 261.12/261.35 Found i as proof of (((eq nat) Xx) Xy)
% 261.12/261.35 Found x5:((more Xx) Xy)
% 261.12/261.35 Found x5 as proof of ((more Xx) Xy)
% 261.12/261.35 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 271.69/271.95 Found i as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 271.69/271.95 Found i as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 271.69/271.95 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 271.69/271.95 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 271.69/271.95 Found x5:(((eq nat) Xx) Xy)
% 271.69/271.95 Found x5 as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found x6:(((eq nat) Xx) Xy)
% 271.69/271.95 Found x6 as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 271.69/271.95 Found i as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found x6:(((eq nat) Xx) Xy)
% 271.69/271.95 Found x6 as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 271.69/271.95 Found (x2 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found x0:((forall (P:(nat->Prop)), ((P x)->(P y)))->False)
% 271.69/271.95 Instantiate: Xx:=x:nat;Xy:=y:nat
% 271.69/271.95 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 271.69/271.95 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 271.69/271.95 Found x5:(((eq nat) Xx) Xy)
% 271.69/271.95 Found x5 as proof of (((eq nat) Xx) Xy)
% 271.69/271.95 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 271.69/271.95 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 271.69/271.95 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 282.04/282.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 282.04/282.29 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 282.04/282.29 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 282.04/282.29 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 282.04/282.29 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 282.04/282.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 282.04/282.29 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 282.04/282.29 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 282.04/282.29 Found x20:(((more Xx) Xy)->False)
% 282.04/282.29 Found x20 as proof of (((more Xx) Xy)->False)
% 282.04/282.29 Found x6:(((eq nat) Xx) Xy)
% 282.04/282.29 Found x6 as proof of (((eq nat) Xx) Xy)
% 282.04/282.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 282.04/282.29 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 282.04/282.29 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 282.04/282.29 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 282.04/282.29 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 282.04/282.29 Found i as proof of (((eq nat) Xx) Xy)
% 282.04/282.29 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 282.04/282.29 Found (x1 i) as proof of (((more Xx) Xy)->False)
% 282.04/282.29 Found False_rect00:=(False_rect0 ((more x) x)):((more x) x)
% 282.04/282.29 Found (False_rect0 ((more x) x)) as proof of ((more x) x)
% 282.04/282.29 Found ((fun (P:Type)=> ((False_rect P) x20)) ((more x) x)) as proof of ((more x) x)
% 282.04/282.29 Found ((fun (P:Type)=> ((False_rect P) x20)) ((more x) x)) as proof of ((more x) x)
% 282.04/282.29 Found (satz19a000 ((fun (P:Type)=> ((False_rect P) x20)) ((more x) x))) as proof of ((more ((pl x) z)) Xy)
% 282.04/282.29 Found ((satz19a00 z) ((fun (P:Type)=> ((False_rect P) x20)) ((more x) x))) as proof of ((more ((pl x) z)) Xy)
% 282.04/282.29 Found (((satz19a0 x) z) ((fun (P:Type)=> ((False_rect P) x20)) ((more x) x))) as proof of ((more ((pl x) z)) Xy)
% 282.04/282.29 Found ((((satz19a x) x) z) ((fun (P:Type)=> ((False_rect P) x20)) ((more x) x))) as proof of ((more ((pl x) z)) Xy)
% 282.04/282.29 Found ((((satz19a x) x) z) ((fun (P:Type)=> ((False_rect P) x20)) ((more x) x))) as proof of ((more ((pl x) z)) Xy)
% 282.04/282.29 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 282.04/282.29 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 282.04/282.29 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 282.04/282.29 Found x10:(((more Xx) Xy)->False)
% 282.04/282.29 Found x10 as proof of (((more Xx) Xy)->False)
% 282.04/282.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 282.04/282.29 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 282.04/282.29 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 282.04/282.29 Found x6:(((eq nat) Xx) Xy)
% 282.04/282.29 Found x6 as proof of (((eq nat) Xx) Xy)
% 282.04/282.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 282.04/282.29 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 282.04/282.29 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 282.04/282.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 282.04/282.29 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 282.04/282.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 282.04/282.29 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 282.04/282.29 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 282.04/282.29 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 282.04/282.29 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 282.04/282.29 Found i as proof of (((eq nat) Xx) Xy)
% 282.04/282.29 Found x10:(((more Xx) Xy)->False)
% 282.04/282.29 Found x10 as proof of (((more Xx) Xy)->False)
% 282.04/282.29 Found x0:((((eq nat) y) x)->False)
% 282.04/282.29 Instantiate: Xx:=y:nat;Xy:=x:nat
% 282.04/282.29 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 282.04/282.29 Found x10:(((more Xx) Xy)->False)
% 282.04/282.29 Found x10 as proof of (((more Xx) Xy)->False)
% 282.04/282.29 Found ((satz10a00 x0) x10) as proof of ((less Xx) Xy)
% 282.04/282.29 Found (((satz10a0 Xy) x0) x10) as proof of ((less Xx) Xy)
% 282.04/282.29 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 282.04/282.29 Found ((((satz10a Xx) Xy) x0) x10) as proof of ((less Xx) Xy)
% 282.04/282.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 282.04/282.29 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 282.04/282.29 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 282.04/282.29 Found x5:(((eq nat) Xx) Xy)
% 282.04/282.29 Found x5 as proof of (((eq nat) Xx) Xy)
% 282.04/282.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 282.04/282.29 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 282.04/282.29 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 282.04/282.29 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 291.87/292.09 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 291.87/292.09 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 291.87/292.09 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 291.87/292.09 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 291.87/292.09 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 291.87/292.09 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found x0:((((eq nat) y) x)->False)
% 291.87/292.09 Instantiate: Xx:=y:nat;Xy:=x:nat
% 291.87/292.09 Found x0 as proof of (not (((eq nat) Xx) Xy))
% 291.87/292.09 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 291.87/292.09 Found i as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 291.87/292.09 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 291.87/292.09 Found i as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 291.87/292.09 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 291.87/292.09 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 291.87/292.09 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 291.87/292.09 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 291.87/292.09 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 291.87/292.09 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 291.87/292.09 Found i as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 291.87/292.09 Instantiate: Xx:=((pl x) z):nat;Xy:=((pl y) z):nat
% 291.87/292.09 Found i as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 291.87/292.09 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 291.87/292.09 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 291.87/292.09 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 291.87/292.09 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 291.87/292.09 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 291.87/292.09 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 291.87/292.09 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 291.87/292.09 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 291.87/292.09 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found i__eq_sym:=((((eq_sym nat) ((pl x) z)) ((pl y) z)) i):(((eq nat) ((pl y) z)) ((pl x) z))
% 291.87/292.09 Instantiate: Xx:=((pl y) z):nat;Xy:=((pl x) z):nat
% 291.87/292.09 Found i__eq_sym as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found x5:(((eq nat) Xx) Xy)
% 291.87/292.09 Found x5 as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found i:(((eq nat) ((pl x) z)) ((pl y) z))
% 291.87/292.09 Found i as proof of (((eq nat) Xx) Xy)
% 291.87/292.09 Found False_rect00:=(False_rect0 ((more ((pl x) z)) Xy)):((more ((pl x) z)) Xy)
% 291.87/292.09 Found (False_rect0 ((more ((pl x) z)) Xy)) as proof of ((more ((pl x) z)) Xy)
% 291.87/292.09 Found ((fun (P:Type)=> ((False_rect P) x20)) ((more ((pl x) z)) Xy)) as proof of ((more ((pl x) z)) Xy)
% 291.87/292.09 Found ((fun (P:Type)=> ((False_rect P) x20)) ((more ((pl x) z)) Xy)) as proof of ((more ((pl x) z)) Xy)
% 291.87/292.09 Found (i0 ((fun (P:Type)=> ((False_rect P) x20)) ((more ((pl x) z)) Xy))) as proof of ((more Xx) Xy)
% 291.87/292.09 Found ((i (fun (x3:nat)=> ((more x3) Xy))) ((fun (P:Type)=> ((False_rect P) x20)) ((more ((pl x) z)) Xy))) as proof of ((more Xx) Xy)
% 291.87/292.09 Found ((i (fun (x3:nat)=> ((more x3) Xy))) ((fun (P:Type)=> ((False_rect P) x20)) ((more ((pl x) z)) Xy))) as proof of ((more Xx) Xy)
% 291.87/292.09 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 291.87/292.09 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 291.87/292.09 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 291.87/292.09 Found x10:=(x1 i__eq_sym):(((more Xx) Xy)->False)
% 291.87/292.09 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 291.87/292.09 Found (x1 i__eq_sym) as proof of (((more Xx) Xy)->False)
% 291.87/292.09 Found x0:((((eq nat) y) x)->False)
% 291.87/292.09 Found x0 as proof of (not (((eq n
%------------------------------------------------------------------------------