TSTP Solution File: NUM704^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM704^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n139.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 13:11:30 EST 2018
% Result : Timeout 291.60s
% 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 : NUM704^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.23 % Computer : n139.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 13:06:19 CST 2018
% 0.06/0.23 % CPUTime :
% 0.06/0.25 Python 2.7.13
% 0.07/0.52 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.07/0.52 FOF formula (<kernel.Constant object at 0x2b5d65e37518>, <kernel.Type object at 0x2b5d661ffef0>) of role type named nat_type
% 0.07/0.52 Using role type
% 0.07/0.52 Declaring nat:Type
% 0.07/0.52 FOF formula (<kernel.Constant object at 0x2b5d65e24638>, <kernel.DependentProduct object at 0x2b5d661ffa70>) of role type named p
% 0.07/0.52 Using role type
% 0.07/0.52 Declaring p:(nat->Prop)
% 0.07/0.52 FOF formula ((forall (Xx:nat), ((p Xx)->False))->False) of role axiom named s
% 0.07/0.52 A new axiom: ((forall (Xx:nat), ((p Xx)->False))->False)
% 0.07/0.52 FOF formula (<kernel.Constant object at 0x2b5d65e37518>, <kernel.DependentProduct object at 0x2b5d661ffb48>) of role type named less
% 0.07/0.52 Using role type
% 0.07/0.52 Declaring less:(nat->(nat->Prop))
% 0.07/0.52 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et
% 0.07/0.52 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa))
% 0.07/0.52 FOF formula (<kernel.Constant object at 0x2b5d661ffb00>, <kernel.DependentProduct object at 0x2b5d661ffea8>) of role type named more
% 0.07/0.52 Using role type
% 0.07/0.52 Declaring more:(nat->(nat->Prop))
% 0.07/0.52 FOF formula (forall (Xx:nat) (Xy:nat), (((more Xx) Xy)->(((((less Xx) Xy)->False)->(((eq nat) Xx) Xy))->False))) of role axiom named satz10g
% 0.07/0.52 A new axiom: (forall (Xx:nat) (Xy:nat), (((more Xx) Xy)->(((((less Xx) Xy)->False)->(((eq nat) Xx) Xy))->False)))
% 0.07/0.52 FOF formula (<kernel.Constant object at 0x2b5d661ff7a0>, <kernel.DependentProduct object at 0x2b5d661ffa70>) of role type named pl
% 0.07/0.52 Using role type
% 0.07/0.52 Declaring pl:(nat->(nat->nat))
% 0.07/0.52 FOF formula (<kernel.Constant object at 0x2b5d661ff128>, <kernel.Constant object at 0x2b5d661ffa70>) of role type named n_1
% 0.07/0.52 Using role type
% 0.07/0.52 Declaring n_1:nat
% 0.07/0.52 FOF formula (forall (Xx:nat) (Xy:nat), ((more ((pl Xx) Xy)) Xx)) of role axiom named satz18
% 0.07/0.52 A new axiom: (forall (Xx:nat) (Xy:nat), ((more ((pl Xx) Xy)) Xx))
% 0.07/0.52 FOF formula (<kernel.Constant object at 0x2b5d661ffdd0>, <kernel.Type object at 0x2b5d661ff710>) of role type named set_type
% 0.07/0.52 Using role type
% 0.07/0.52 Declaring set:Type
% 0.07/0.52 FOF formula (<kernel.Constant object at 0x2b5d661ff7e8>, <kernel.DependentProduct object at 0x2b5d661ffea8>) of role type named esti
% 0.07/0.52 Using role type
% 0.07/0.52 Declaring esti:(nat->(set->Prop))
% 0.07/0.52 FOF formula (<kernel.Constant object at 0x2b5d661ff758>, <kernel.DependentProduct object at 0x2b5d661ff368>) of role type named setof
% 0.07/0.52 Using role type
% 0.07/0.52 Declaring setof:((nat->Prop)->set)
% 0.07/0.52 FOF formula (forall (Xp:(nat->Prop)) (Xs:nat), (((esti Xs) (setof Xp))->(Xp Xs))) of role axiom named estie
% 0.07/0.52 A new axiom: (forall (Xp:(nat->Prop)) (Xs:nat), (((esti Xs) (setof Xp))->(Xp Xs)))
% 0.07/0.52 FOF formula (<kernel.Constant object at 0x2b5d661ff950>, <kernel.DependentProduct object at 0x2b5d661ff7a0>) of role type named suc
% 0.07/0.52 Using role type
% 0.07/0.52 Declaring suc:(nat->nat)
% 0.07/0.52 FOF formula (forall (Xs:set), (((esti n_1) Xs)->((forall (Xx:nat), (((esti Xx) Xs)->((esti (suc Xx)) Xs)))->(forall (Xx:nat), ((esti Xx) Xs))))) of role axiom named ax5
% 0.07/0.52 A new axiom: (forall (Xs:set), (((esti n_1) Xs)->((forall (Xx:nat), (((esti Xx) Xs)->((esti (suc Xx)) Xs)))->(forall (Xx:nat), ((esti Xx) Xs)))))
% 0.07/0.52 FOF formula (forall (Xp:(nat->Prop)) (Xs:nat), ((Xp Xs)->((esti Xs) (setof Xp)))) of role axiom named estii
% 0.07/0.52 A new axiom: (forall (Xp:(nat->Prop)) (Xs:nat), ((Xp Xs)->((esti Xs) (setof Xp))))
% 0.07/0.52 FOF formula (forall (Xx:nat), ((((less n_1) Xx)->False)->(((eq nat) n_1) Xx))) of role axiom named satz24a
% 0.07/0.52 A new axiom: (forall (Xx:nat), ((((less n_1) Xx)->False)->(((eq nat) n_1) Xx)))
% 0.07/0.52 FOF formula (forall (Xx:nat) (Xy:nat), (((less Xy) Xx)->((((less ((pl Xy) n_1)) Xx)->False)->(((eq nat) ((pl Xy) n_1)) Xx)))) of role axiom named satz25b
% 0.07/0.52 A new axiom: (forall (Xx:nat) (Xy:nat), (((less Xy) Xx)->((((less ((pl Xy) n_1)) Xx)->False)->(((eq nat) ((pl Xy) n_1)) Xx))))
% 0.07/0.52 FOF formula (forall (Xx:nat), (((eq nat) ((pl Xx) n_1)) (suc Xx))) of role axiom named satz4a
% 0.07/0.52 A new axiom: (forall (Xx:nat), (((eq nat) ((pl Xx) n_1)) (suc Xx)))
% 0.07/0.52 FOF formula ((forall (Xx:nat), ((((forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))->((p Xx)->False))->False)->False))->False) of role conjecture named satz27
% 0.07/0.52 Conjecture to prove = ((forall (Xx:nat), ((((forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))->((p Xx)->False))->False)->False))->False):Prop
% 11.06/11.26 Parameter set_DUMMY:set.
% 11.06/11.26 We need to prove ['((forall (Xx:nat), ((((forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))->((p Xx)->False))->False)->False))->False)']
% 11.06/11.26 Parameter nat:Type.
% 11.06/11.26 Parameter p:(nat->Prop).
% 11.06/11.26 Axiom s:((forall (Xx:nat), ((p Xx)->False))->False).
% 11.06/11.26 Parameter less:(nat->(nat->Prop)).
% 11.06/11.26 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)).
% 11.06/11.26 Parameter more:(nat->(nat->Prop)).
% 11.06/11.26 Axiom satz10g:(forall (Xx:nat) (Xy:nat), (((more Xx) Xy)->(((((less Xx) Xy)->False)->(((eq nat) Xx) Xy))->False))).
% 11.06/11.26 Parameter pl:(nat->(nat->nat)).
% 11.06/11.26 Parameter n_1:nat.
% 11.06/11.26 Axiom satz18:(forall (Xx:nat) (Xy:nat), ((more ((pl Xx) Xy)) Xx)).
% 11.06/11.26 Parameter set:Type.
% 11.06/11.26 Parameter esti:(nat->(set->Prop)).
% 11.06/11.26 Parameter setof:((nat->Prop)->set).
% 11.06/11.26 Axiom estie:(forall (Xp:(nat->Prop)) (Xs:nat), (((esti Xs) (setof Xp))->(Xp Xs))).
% 11.06/11.26 Parameter suc:(nat->nat).
% 11.06/11.26 Axiom ax5:(forall (Xs:set), (((esti n_1) Xs)->((forall (Xx:nat), (((esti Xx) Xs)->((esti (suc Xx)) Xs)))->(forall (Xx:nat), ((esti Xx) Xs))))).
% 11.06/11.26 Axiom estii:(forall (Xp:(nat->Prop)) (Xs:nat), ((Xp Xs)->((esti Xs) (setof Xp)))).
% 11.06/11.26 Axiom satz24a:(forall (Xx:nat), ((((less n_1) Xx)->False)->(((eq nat) n_1) Xx))).
% 11.06/11.26 Axiom satz25b:(forall (Xx:nat) (Xy:nat), (((less Xy) Xx)->((((less ((pl Xy) n_1)) Xx)->False)->(((eq nat) ((pl Xy) n_1)) Xx)))).
% 11.06/11.26 Axiom satz4a:(forall (Xx:nat), (((eq nat) ((pl Xx) n_1)) (suc Xx))).
% 11.06/11.26 Trying to prove ((forall (Xx:nat), ((((forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))->((p Xx)->False))->False)->False))->False)
% 11.06/11.26 Found x0:(p Xx)
% 11.06/11.26 Instantiate: Xx0:=Xx:nat
% 11.06/11.26 Found x0 as proof of (p Xx0)
% 11.06/11.26 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 11.06/11.26 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 11.06/11.26 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 11.06/11.26 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 11.06/11.26 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 11.06/11.26 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 11.06/11.26 Found x2:(p Xx0)
% 11.06/11.26 Instantiate: Xx:=Xx0:nat
% 11.06/11.26 Found x2 as proof of (p Xx)
% 11.06/11.26 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 11.06/11.26 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 11.06/11.26 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 11.06/11.26 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 11.06/11.26 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 11.06/11.26 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 11.06/11.26 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 11.06/11.26 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 11.06/11.26 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 11.06/11.26 Found (fun (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 11.06/11.26 Found (fun (Xx_0_0:nat) (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 11.06/11.26 Found (fun (Xx_0_0:nat) (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 11.06/11.26 Found x0:(p Xx)
% 11.06/11.26 Instantiate: Xx0:=Xx:nat
% 11.06/11.26 Found x0 as proof of (p Xx0)
% 11.06/11.26 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 11.06/11.26 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 24.82/25.01 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 24.82/25.01 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 24.82/25.01 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 24.82/25.01 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 24.82/25.01 Found x0:(p Xx)
% 24.82/25.01 Instantiate: Xx0:=Xx:nat
% 24.82/25.01 Found x0 as proof of (p Xx0)
% 24.82/25.01 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 24.82/25.01 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 24.82/25.01 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 24.82/25.01 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 24.82/25.01 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 24.82/25.01 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 24.82/25.01 Found x2:(p Xx0)
% 24.82/25.01 Instantiate: Xx:=Xx0:nat
% 24.82/25.01 Found x2 as proof of (p Xx)
% 24.82/25.01 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 24.82/25.01 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 24.82/25.01 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 24.82/25.01 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 24.82/25.01 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 24.82/25.01 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 24.82/25.01 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 24.82/25.01 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 24.82/25.01 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 24.82/25.01 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 24.82/25.01 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 24.82/25.01 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 24.82/25.01 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 24.82/25.01 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 24.82/25.01 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 24.82/25.01 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 24.82/25.01 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 24.82/25.01 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 24.82/25.01 Found x2:((p Xx)->False)
% 24.82/25.01 Found x2 as proof of ((p Xx0)->False)
% 24.82/25.01 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 24.82/25.01 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 24.82/25.01 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 24.82/25.01 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 24.82/25.01 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 24.82/25.01 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 31.57/31.79 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 31.57/31.79 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 31.57/31.79 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 31.57/31.79 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 31.57/31.79 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 31.57/31.79 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 31.57/31.79 Found x0:(p Xx)
% 31.57/31.79 Instantiate: Xx0:=Xx:nat
% 31.57/31.79 Found x0 as proof of (p Xx0)
% 31.57/31.79 Found x2:((p Xx)->False)
% 31.57/31.79 Instantiate: Xx:=Xx0:nat
% 31.57/31.79 Found x2 as proof of ((p Xx0)->False)
% 31.57/31.79 Found x2:(p Xx0)
% 31.57/31.79 Instantiate: Xx:=Xx0:nat
% 31.57/31.79 Found x2 as proof of (p Xx)
% 31.57/31.79 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 31.57/31.79 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 31.57/31.79 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 31.57/31.79 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 31.57/31.79 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 31.57/31.79 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 31.57/31.79 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 31.57/31.79 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 31.57/31.79 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 31.57/31.79 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 31.57/31.79 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 31.57/31.79 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 31.57/31.79 Found x0:(((p Xx)->False)->False)
% 31.57/31.79 Instantiate: Xx0:=Xx:nat
% 31.57/31.79 Found x0 as proof of (((p Xx0)->False)->False)
% 31.57/31.79 Found (et1 x0) as proof of (p Xx0)
% 31.57/31.79 Found ((et (p Xx0)) x0) as proof of (p Xx0)
% 31.57/31.79 Found ((et (p Xx0)) x0) as proof of (p Xx0)
% 31.57/31.79 Found x0:(p Xx)
% 31.57/31.79 Instantiate: Xx0:=Xx:nat
% 31.57/31.79 Found x0 as proof of (p Xx0)
% 31.57/31.79 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 31.57/31.79 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 31.57/31.79 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 31.57/31.79 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 31.57/31.79 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 31.57/31.79 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 31.57/31.79 Found x2:(((p Xx0)->False)->False)
% 31.57/31.79 Instantiate: Xx:=Xx0:nat
% 31.57/31.79 Found x2 as proof of (((p Xx)->False)->False)
% 31.57/31.79 Found (et1 x2) as proof of (p Xx)
% 31.57/31.79 Found ((et (p Xx)) x2) as proof of (p Xx)
% 31.57/31.79 Found ((et (p Xx)) x2) as proof of (p Xx)
% 31.57/31.79 Found x0:(p Xx)
% 31.57/31.79 Instantiate: Xx0:=Xx:nat
% 31.57/31.79 Found x0 as proof of (p Xx0)
% 31.57/31.79 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 31.57/31.79 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 31.57/31.79 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 31.57/31.79 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 31.57/31.79 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 40.74/40.95 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 40.74/40.95 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 40.74/40.95 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 40.74/40.95 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 40.74/40.95 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 40.74/40.95 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 40.74/40.95 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 40.74/40.95 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 40.74/40.95 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 40.74/40.95 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 40.74/40.95 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 40.74/40.95 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 40.74/40.95 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 40.74/40.95 Found x2:(p Xx0)
% 40.74/40.95 Instantiate: Xx:=Xx0:nat
% 40.74/40.95 Found x2 as proof of (p Xx)
% 40.74/40.95 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 40.74/40.95 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 40.74/40.95 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 40.74/40.95 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 40.74/40.95 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 40.74/40.95 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 40.74/40.95 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 40.74/40.95 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 40.74/40.95 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 40.74/40.95 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 40.74/40.95 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 40.74/40.95 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 40.74/40.95 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 40.74/40.95 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 40.74/40.95 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 40.74/40.95 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 40.74/40.95 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 40.74/40.95 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 40.74/40.95 Found x0:(p Xx)
% 40.74/40.95 Instantiate: Xx0:=Xx:nat
% 40.74/40.95 Found x0 as proof of (p Xx0)
% 40.74/40.95 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 40.74/40.95 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 40.74/40.95 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 69.15/69.38 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 69.15/69.38 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 69.15/69.38 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 69.15/69.38 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 69.15/69.38 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 69.15/69.38 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 69.15/69.38 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 69.15/69.38 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 69.15/69.38 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 69.15/69.38 Found x3:((p Xx)->False)
% 69.15/69.38 Found x3 as proof of ((p Xx0)->False)
% 69.15/69.38 Found x0:(p Xx)
% 69.15/69.38 Instantiate: Xx0:=Xx:nat
% 69.15/69.38 Found x0 as proof of (p Xx0)
% 69.15/69.38 Found x3:((p Xx)->False)
% 69.15/69.38 Found x3 as proof of ((p Xx0)->False)
% 69.15/69.38 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 69.15/69.38 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 69.15/69.38 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 69.15/69.38 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 69.15/69.38 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 69.15/69.38 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 69.15/69.38 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 69.15/69.38 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 69.15/69.38 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 69.15/69.38 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 69.15/69.38 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 69.15/69.38 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 69.15/69.38 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 69.15/69.38 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 69.15/69.38 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 69.15/69.38 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 69.15/69.38 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 69.15/69.38 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 69.15/69.38 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 69.15/69.38 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 69.15/69.38 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 69.15/69.38 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 69.15/69.38 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 69.15/69.38 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 69.15/69.38 Found x0:(p Xx)
% 69.15/69.38 Instantiate: Xx0:=Xx:nat
% 79.86/80.08 Found x0 as proof of (p Xx0)
% 79.86/80.08 Found x2:(p Xx0)
% 79.86/80.08 Instantiate: Xx:=Xx0:nat
% 79.86/80.08 Found x2 as proof of (p Xx)
% 79.86/80.08 Found x0:(p Xx)
% 79.86/80.08 Instantiate: Xx0:=Xx:nat
% 79.86/80.08 Found x0 as proof of (p Xx0)
% 79.86/80.08 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 79.86/80.08 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 79.86/80.08 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 79.86/80.08 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 79.86/80.08 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 79.86/80.08 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 79.86/80.08 Found x1:(p Xx)
% 79.86/80.08 Instantiate: Xx0:=Xx:nat
% 79.86/80.08 Found x1 as proof of (p Xx0)
% 79.86/80.08 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 79.86/80.08 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 79.86/80.08 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 79.86/80.08 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 79.86/80.08 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 79.86/80.08 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 79.86/80.08 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 79.86/80.08 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 79.86/80.08 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 79.86/80.08 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 79.86/80.08 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 79.86/80.08 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 79.86/80.08 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 79.86/80.08 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 79.86/80.08 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 79.86/80.08 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 79.86/80.08 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 79.86/80.08 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 79.86/80.08 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 79.86/80.08 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 79.86/80.08 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 79.86/80.08 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 79.86/80.08 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 79.86/80.08 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 79.86/80.08 Found x2:(p Xx0)
% 79.86/80.08 Instantiate: Xx:=Xx0:nat
% 79.86/80.08 Found x2 as proof of (p Xx)
% 79.86/80.08 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 79.86/80.08 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 79.86/80.08 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 79.86/80.08 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 87.60/87.83 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 87.60/87.83 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 87.60/87.83 Found x0:(p Xx)
% 87.60/87.83 Instantiate: Xx0:=Xx:nat
% 87.60/87.83 Found x0 as proof of (p Xx0)
% 87.60/87.83 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 87.60/87.83 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 87.60/87.83 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 87.60/87.83 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 87.60/87.83 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 87.60/87.83 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 87.60/87.83 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 87.60/87.83 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 87.60/87.83 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 87.60/87.83 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 87.60/87.83 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 87.60/87.83 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 87.60/87.83 Found x3:(p Xx0)
% 87.60/87.83 Instantiate: Xx:=Xx0:nat
% 87.60/87.83 Found x3 as proof of (p Xx)
% 87.60/87.83 Found x0:(p Xx)
% 87.60/87.83 Instantiate: Xx0:=Xx:nat
% 87.60/87.83 Found x0 as proof of (p Xx0)
% 87.60/87.83 Found x3:((p Xx)->False)
% 87.60/87.83 Instantiate: Xx:=Xx0:nat
% 87.60/87.83 Found x3 as proof of ((p Xx0)->False)
% 87.60/87.83 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 87.60/87.83 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 87.60/87.83 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 87.60/87.83 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 87.60/87.83 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 87.60/87.83 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 87.60/87.83 Found x2:(p Xx0)
% 87.60/87.83 Instantiate: Xx:=Xx0:nat
% 87.60/87.83 Found x2 as proof of (p Xx)
% 87.60/87.83 Found x3:((p Xx)->False)
% 87.60/87.83 Instantiate: Xx:=Xx0:nat
% 87.60/87.83 Found x3 as proof of ((p Xx0)->False)
% 87.60/87.83 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 87.60/87.83 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 87.60/87.83 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 87.60/87.83 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 87.60/87.83 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 87.60/87.83 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 87.60/87.83 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 87.60/87.83 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 87.60/87.83 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 87.60/87.83 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 87.60/87.83 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 87.60/87.83 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 93.91/94.15 Found x0:(p Xx)
% 93.91/94.15 Instantiate: Xx0:=Xx:nat
% 93.91/94.15 Found x0 as proof of (p Xx0)
% 93.91/94.15 Found x0:(p Xx)
% 93.91/94.15 Instantiate: Xx0:=Xx:nat
% 93.91/94.15 Found x0 as proof of (p Xx0)
% 93.91/94.15 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 93.91/94.15 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 93.91/94.15 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 93.91/94.15 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 93.91/94.15 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 93.91/94.15 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 93.91/94.15 Found x0:(((p Xx)->False)->False)
% 93.91/94.15 Instantiate: Xx0:=Xx:nat
% 93.91/94.15 Found x0 as proof of (((p Xx0)->False)->False)
% 93.91/94.15 Found (et2 x0) as proof of (p Xx0)
% 93.91/94.15 Found ((et (p Xx0)) x0) as proof of (p Xx0)
% 93.91/94.15 Found ((et (p Xx0)) x0) as proof of (p Xx0)
% 93.91/94.15 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 93.91/94.15 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 93.91/94.15 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 93.91/94.15 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 93.91/94.15 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 93.91/94.15 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 93.91/94.15 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 93.91/94.15 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 93.91/94.15 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 93.91/94.15 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 93.91/94.15 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 93.91/94.15 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 93.91/94.15 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 93.91/94.15 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 93.91/94.15 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 93.91/94.15 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 93.91/94.15 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 93.91/94.15 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 93.91/94.15 Found x0:(((p Xx)->False)->False)
% 93.91/94.15 Instantiate: Xx0:=Xx:nat
% 93.91/94.15 Found x0 as proof of (((p Xx0)->False)->False)
% 93.91/94.15 Found (et2 x0) as proof of (p Xx0)
% 93.91/94.15 Found ((et (p Xx0)) x0) as proof of (p Xx0)
% 93.91/94.15 Found ((et (p Xx0)) x0) as proof of (p Xx0)
% 93.91/94.15 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 93.91/94.15 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 93.91/94.15 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 93.91/94.15 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 93.91/94.15 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 93.91/94.15 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 103.09/103.29 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 103.09/103.29 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 103.09/103.29 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 103.09/103.29 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 103.09/103.29 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 103.09/103.29 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 103.09/103.29 Found x2:(p Xx0)
% 103.09/103.29 Instantiate: Xx:=Xx0:nat
% 103.09/103.29 Found x2 as proof of (p Xx)
% 103.09/103.29 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 103.09/103.29 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 103.09/103.29 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 103.09/103.29 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 103.09/103.29 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 103.09/103.29 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 103.09/103.29 Found x2:(((p Xx0)->False)->False)
% 103.09/103.29 Instantiate: Xx:=Xx0:nat
% 103.09/103.29 Found x2 as proof of (((p Xx)->False)->False)
% 103.09/103.29 Found (et2 x2) as proof of (p Xx)
% 103.09/103.29 Found ((et (p Xx)) x2) as proof of (p Xx)
% 103.09/103.29 Found ((et (p Xx)) x2) as proof of (p Xx)
% 103.09/103.29 Found x2:((((p Xx)->False)->False)->False)
% 103.09/103.29 Instantiate: Xx:=Xx0:nat
% 103.09/103.29 Found x2 as proof of ((((p Xx0)->False)->False)->False)
% 103.09/103.29 Found (et2 x2) as proof of ((p Xx0)->False)
% 103.09/103.29 Found ((et ((p Xx0)->False)) x2) as proof of ((p Xx0)->False)
% 103.09/103.29 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 103.09/103.29 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 103.09/103.29 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 103.09/103.29 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 103.09/103.29 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 103.09/103.29 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 103.09/103.29 Found x10:((p Xx)->False)
% 103.09/103.29 Instantiate: Xx:=Xx0:nat
% 103.09/103.29 Found x10 as proof of ((p Xx0)->False)
% 103.09/103.29 Found x0:(p Xx)
% 103.09/103.29 Instantiate: Xx0:=Xx:nat
% 103.09/103.29 Found x0 as proof of (p Xx0)
% 103.09/103.29 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 103.09/103.29 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 103.09/103.29 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 103.09/103.29 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 103.09/103.29 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 103.09/103.29 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 103.09/103.29 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 103.09/103.29 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 103.09/103.29 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 103.09/103.29 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 103.09/103.29 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 103.09/103.29 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 119.60/119.84 Found x3:(p Xx0)
% 119.60/119.84 Instantiate: Xx:=Xx0:nat
% 119.60/119.84 Found x3 as proof of (p Xx)
% 119.60/119.84 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 119.60/119.84 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 119.60/119.84 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 119.60/119.84 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 119.60/119.84 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 119.60/119.84 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 119.60/119.84 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 119.60/119.84 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 119.60/119.84 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 119.60/119.84 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 119.60/119.84 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 119.60/119.84 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 119.60/119.84 Found x0:(p Xx)
% 119.60/119.84 Instantiate: Xx0:=Xx:nat
% 119.60/119.84 Found x0 as proof of (p Xx0)
% 119.60/119.84 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 119.60/119.84 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 119.60/119.84 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 119.60/119.84 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 119.60/119.84 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 119.60/119.84 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 119.60/119.84 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 119.60/119.84 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 119.60/119.84 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 119.60/119.84 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 119.60/119.84 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 119.60/119.84 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 119.60/119.84 Found x0:(p Xx)
% 119.60/119.84 Instantiate: Xx0:=Xx:nat
% 119.60/119.84 Found x0 as proof of (p Xx0)
% 119.60/119.84 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 119.60/119.84 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 119.60/119.84 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 119.60/119.84 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 119.60/119.84 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 119.60/119.84 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 119.60/119.84 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 119.60/119.84 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 119.60/119.84 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 119.60/119.84 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 136.46/136.66 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 136.46/136.66 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 136.46/136.66 Found x2:(p Xx0)
% 136.46/136.66 Instantiate: Xx:=Xx0:nat
% 136.46/136.66 Found x2 as proof of (p Xx)
% 136.46/136.66 Found x0:(((((p Xx)->False)->False)->False)->False)
% 136.46/136.66 Instantiate: Xx0:=Xx:nat
% 136.46/136.66 Found x0 as proof of (((((p Xx0)->False)->False)->False)->False)
% 136.46/136.66 Found (et3 x0) as proof of (((p Xx0)->False)->False)
% 136.46/136.66 Found ((et (((p Xx0)->False)->False)) x0) as proof of (((p Xx0)->False)->False)
% 136.46/136.66 Found ((et (((p Xx0)->False)->False)) x0) as proof of (((p Xx0)->False)->False)
% 136.46/136.66 Found (et2 ((et (((p Xx0)->False)->False)) x0)) as proof of (p Xx0)
% 136.46/136.66 Found ((et (p Xx0)) ((et (((p Xx0)->False)->False)) x0)) as proof of (p Xx0)
% 136.46/136.66 Found ((et (p Xx0)) ((et (((p Xx0)->False)->False)) x0)) as proof of (p Xx0)
% 136.46/136.66 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 136.46/136.66 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 136.46/136.66 Found (fun (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 136.46/136.66 Found (fun (Xx_0_0:nat) (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 136.46/136.66 Found (fun (Xx_0_0:nat) (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 136.46/136.66 Found x2:(((((p Xx0)->False)->False)->False)->False)
% 136.46/136.66 Instantiate: Xx:=Xx0:nat
% 136.46/136.66 Found x2 as proof of (((((p Xx)->False)->False)->False)->False)
% 136.46/136.66 Found (et3 x2) as proof of (((p Xx)->False)->False)
% 136.46/136.66 Found ((et (((p Xx)->False)->False)) x2) as proof of (((p Xx)->False)->False)
% 136.46/136.66 Found ((et (((p Xx)->False)->False)) x2) as proof of (((p Xx)->False)->False)
% 136.46/136.66 Found (et2 ((et (((p Xx)->False)->False)) x2)) as proof of (p Xx)
% 136.46/136.66 Found ((et (p Xx)) ((et (((p Xx)->False)->False)) x2)) as proof of (p Xx)
% 136.46/136.66 Found ((et (p Xx)) ((et (((p Xx)->False)->False)) x2)) as proof of (p Xx)
% 136.46/136.66 Found x3:((p Xx)->False)
% 136.46/136.66 Found x3 as proof of ((p Xx0)->False)
% 136.46/136.66 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 136.46/136.66 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 136.46/136.66 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 136.46/136.66 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 136.46/136.66 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 136.46/136.66 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 136.46/136.66 Found x0:(p Xx)
% 136.46/136.66 Instantiate: Xx0:=Xx:nat
% 136.46/136.66 Found x0 as proof of (p Xx0)
% 136.46/136.66 Found x3:((p Xx)->False)
% 136.46/136.66 Found x3 as proof of ((p Xx0)->False)
% 136.46/136.66 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 136.46/136.66 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 136.46/136.66 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 136.46/136.66 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 136.46/136.66 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 136.46/136.66 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 136.46/136.66 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 136.46/136.66 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 136.46/136.66 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 136.46/136.66 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 157.26/157.52 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 157.26/157.52 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 157.26/157.52 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 157.26/157.52 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 157.26/157.52 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 157.26/157.52 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 157.26/157.52 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 157.26/157.52 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 157.26/157.52 Found x3:(p Xx0)
% 157.26/157.52 Instantiate: Xx:=Xx0:nat
% 157.26/157.52 Found x3 as proof of (p Xx)
% 157.26/157.52 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 157.26/157.52 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 157.26/157.52 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 157.26/157.52 Found (fun (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 157.26/157.52 Found (fun (Xx_0_0:nat) (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 157.26/157.52 Found (fun (Xx_0_0:nat) (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 157.26/157.52 Found x0:(p Xx)
% 157.26/157.52 Instantiate: Xx0:=Xx:nat
% 157.26/157.52 Found x0 as proof of (p Xx0)
% 157.26/157.52 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 157.26/157.52 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 157.26/157.52 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 157.26/157.52 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 157.26/157.52 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 157.26/157.52 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 157.26/157.52 Found x0:(p Xx)
% 157.26/157.52 Instantiate: Xx0:=Xx:nat
% 157.26/157.52 Found x0 as proof of (p Xx0)
% 157.26/157.52 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 157.26/157.52 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 157.26/157.52 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 157.26/157.52 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 157.26/157.52 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 157.26/157.52 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 157.26/157.52 Found x0:(p Xx)
% 157.26/157.52 Instantiate: Xx0:=Xx:nat
% 157.26/157.52 Found x0 as proof of (p Xx0)
% 157.26/157.52 Found x0:(p Xx)
% 157.26/157.52 Instantiate: Xx0:=Xx:nat
% 157.26/157.52 Found x0 as proof of (p Xx0)
% 157.26/157.52 Found x0:(p Xx)
% 157.26/157.52 Instantiate: Xx0:=Xx:nat
% 157.26/157.52 Found x0 as proof of (p Xx0)
% 157.26/157.52 Found x10:((p Xx)->False)
% 157.26/157.52 Found x10 as proof of ((p Xx0)->False)
% 157.26/157.52 Found x0:(p Xx)
% 157.26/157.52 Instantiate: Xx0:=Xx:nat
% 157.26/157.52 Found x0 as proof of (p Xx0)
% 157.26/157.52 Found x3:((p Xx)->False)
% 157.26/157.52 Found x3 as proof of ((p Xx0)->False)
% 157.26/157.52 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 157.26/157.52 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 157.26/157.52 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 157.26/157.52 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 157.26/157.52 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 172.36/172.56 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 172.36/172.56 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 172.36/172.56 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 172.36/172.56 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 172.36/172.56 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 172.36/172.56 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 172.36/172.56 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 172.36/172.56 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 172.36/172.56 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 172.36/172.56 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 172.36/172.56 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 172.36/172.56 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 172.36/172.56 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 172.36/172.56 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 172.36/172.56 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 172.36/172.56 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 172.36/172.56 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 172.36/172.56 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 172.36/172.56 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 172.36/172.56 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 172.36/172.56 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 172.36/172.56 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 172.36/172.56 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 172.36/172.56 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 172.36/172.56 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 172.36/172.56 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 172.36/172.56 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 172.36/172.56 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 172.36/172.56 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 172.36/172.56 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 172.36/172.56 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 172.36/172.56 Found x0:(p Xx)
% 172.36/172.56 Instantiate: Xx0:=Xx:nat
% 172.36/172.56 Found x0 as proof of (p Xx0)
% 172.36/172.56 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 172.36/172.56 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 172.36/172.56 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 172.36/172.56 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 193.15/193.36 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 193.15/193.36 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 193.15/193.36 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 193.15/193.36 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 193.15/193.36 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 193.15/193.36 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 193.15/193.36 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 193.15/193.36 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 193.15/193.36 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 193.15/193.36 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 193.15/193.36 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 193.15/193.36 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 193.15/193.36 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 193.15/193.36 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 193.15/193.36 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 193.15/193.36 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 193.15/193.36 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 193.15/193.36 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 193.15/193.36 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 193.15/193.36 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 193.15/193.36 Found x2:(p Xx0)
% 193.15/193.36 Instantiate: Xx:=Xx0:nat
% 193.15/193.36 Found x2 as proof of (p Xx)
% 193.15/193.36 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 193.15/193.36 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 193.15/193.36 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 193.15/193.36 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 193.15/193.36 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 193.15/193.36 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 193.15/193.36 Found x1:(p Xx)
% 193.15/193.36 Instantiate: Xx0:=Xx:nat
% 193.15/193.36 Found x1 as proof of (p Xx0)
% 193.15/193.36 Found x0:(p Xx)
% 193.15/193.36 Instantiate: Xx0:=Xx:nat
% 193.15/193.36 Found x0 as proof of (p Xx0)
% 193.15/193.36 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 193.15/193.36 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 193.15/193.36 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 193.15/193.36 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 193.15/193.36 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 193.15/193.36 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 193.15/193.36 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 199.55/199.80 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 199.55/199.80 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 199.55/199.80 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 199.55/199.80 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 199.55/199.80 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 199.55/199.80 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 199.55/199.80 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 199.55/199.80 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 199.55/199.80 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 199.55/199.80 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 199.55/199.80 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 199.55/199.80 Found x0:(p Xx)
% 199.55/199.80 Instantiate: Xx0:=Xx:nat
% 199.55/199.80 Found x0 as proof of (p Xx0)
% 199.55/199.80 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 199.55/199.80 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 199.55/199.80 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 199.55/199.80 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 199.55/199.80 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 199.55/199.80 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 199.55/199.80 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 199.55/199.80 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 199.55/199.80 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 199.55/199.80 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 199.55/199.80 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 199.55/199.80 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 199.55/199.80 Found x3:((p Xx)->False)
% 199.55/199.80 Instantiate: Xx:=Xx0:nat
% 199.55/199.80 Found x3 as proof of ((p Xx0)->False)
% 199.55/199.80 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 199.55/199.80 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 199.55/199.80 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 199.55/199.80 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 199.55/199.80 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 199.55/199.80 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 199.55/199.80 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 199.55/199.80 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 199.55/199.80 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 199.55/199.80 Found (fun (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 199.55/199.80 Found (fun (Xx_0_0:nat) (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 199.55/199.80 Found (fun (Xx_0_0:nat) (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 204.92/205.12 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 204.92/205.12 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 204.92/205.12 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 204.92/205.12 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 204.92/205.12 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 204.92/205.12 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 204.92/205.12 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 204.92/205.12 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 204.92/205.12 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 204.92/205.12 Found x0:(p Xx)
% 204.92/205.12 Instantiate: Xx0:=Xx:nat
% 204.92/205.12 Found x0 as proof of (p Xx0)
% 204.92/205.12 Found eq_ref00:=(eq_ref0 Xx):(((eq nat) Xx) Xx)
% 204.92/205.12 Found (eq_ref0 Xx) as proof of (((eq nat) Xx) Xx_0_0)
% 204.92/205.12 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xx_0_0)
% 204.92/205.12 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xx_0_0)
% 204.92/205.12 Found (fun (x3:(((less Xx) Xx_0_0)->False))=> ((eq_ref nat) Xx)) as proof of (((eq nat) Xx) Xx_0_0)
% 204.92/205.12 Found (fun (x2:(p Xx_0_0)) (x3:(((less Xx) Xx_0_0)->False))=> ((eq_ref nat) Xx)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found x2:(p Xx0)
% 204.92/205.12 Instantiate: Xx:=Xx0:nat
% 204.92/205.12 Found x2 as proof of (p Xx)
% 204.92/205.12 Found x3:(p Xx0)
% 204.92/205.12 Instantiate: Xx:=Xx0:nat
% 204.92/205.12 Found x3 as proof of (p Xx)
% 204.92/205.12 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 204.92/205.12 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 204.92/205.12 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 204.92/205.12 Found x0:(p Xx)
% 204.92/205.12 Instantiate: Xx0:=Xx:nat
% 204.92/205.12 Found x0 as proof of (p Xx0)
% 204.92/205.12 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 204.92/205.12 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 204.92/205.12 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 204.92/205.12 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 226.41/226.66 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 226.41/226.66 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 226.41/226.66 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 226.41/226.66 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 226.41/226.66 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 226.41/226.66 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 226.41/226.66 Found x3:((p Xx)->False)
% 226.41/226.66 Instantiate: Xx:=Xx0:nat
% 226.41/226.66 Found x3 as proof of ((p Xx0)->False)
% 226.41/226.66 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 226.41/226.66 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 226.41/226.66 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 226.41/226.66 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 226.41/226.66 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 226.41/226.66 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 226.41/226.66 Found x0:(p Xx)
% 226.41/226.66 Instantiate: Xx0:=Xx:nat
% 226.41/226.66 Found x0 as proof of (p Xx0)
% 226.41/226.66 Found x2:(p Xx0)
% 226.41/226.66 Instantiate: Xx:=Xx0:nat
% 226.41/226.66 Found x2 as proof of (p Xx)
% 226.41/226.66 Found x2:(p Xx0)
% 226.41/226.66 Instantiate: Xx:=Xx0:nat
% 226.41/226.66 Found x2 as proof of (p Xx)
% 226.41/226.66 Found x3:((p Xx)->False)
% 226.41/226.66 Found x3 as proof of ((p Xx0)->False)
% 226.41/226.66 Found x2:(p Xx0)
% 226.41/226.66 Instantiate: Xx:=Xx0:nat
% 226.41/226.66 Found x2 as proof of (p Xx)
% 226.41/226.66 Found x3:(p Xx0)
% 226.41/226.66 Instantiate: Xx:=Xx0:nat
% 226.41/226.66 Found x3 as proof of (p Xx)
% 226.41/226.66 Found x2:(p Xx0)
% 226.41/226.66 Instantiate: Xx:=Xx0:nat
% 226.41/226.66 Found x2 as proof of (p Xx)
% 226.41/226.66 Found x1:(p Xx)
% 226.41/226.66 Instantiate: Xx0:=Xx:nat
% 226.41/226.66 Found x1 as proof of (p Xx0)
% 226.41/226.66 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 226.41/226.66 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 226.41/226.66 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 226.41/226.66 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 226.41/226.66 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 226.41/226.66 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 226.41/226.66 Found x1:(p Xx)
% 226.41/226.66 Instantiate: Xx0:=Xx:nat
% 226.41/226.66 Found x1 as proof of (p Xx0)
% 226.41/226.66 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 226.41/226.66 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 226.41/226.66 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 226.41/226.66 Found (fun (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 226.41/226.66 Found (fun (Xx_0_0:nat) (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 226.41/226.66 Found (fun (Xx_0_0:nat) (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 226.41/226.66 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 226.41/226.66 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 226.41/226.66 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 226.41/226.66 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 226.41/226.66 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 233.48/233.73 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 233.48/233.73 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 233.48/233.73 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 233.48/233.73 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 233.48/233.73 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 233.48/233.73 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 233.48/233.73 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 233.48/233.73 Found x0:(((p Xx)->False)->False)
% 233.48/233.73 Instantiate: Xx0:=Xx:nat
% 233.48/233.73 Found x0 as proof of (((p Xx0)->False)->False)
% 233.48/233.73 Found (et3 x0) as proof of (p Xx0)
% 233.48/233.73 Found ((et (p Xx0)) x0) as proof of (p Xx0)
% 233.48/233.73 Found ((et (p Xx0)) x0) as proof of (p Xx0)
% 233.48/233.73 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 233.48/233.73 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 233.48/233.73 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 233.48/233.73 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 233.48/233.73 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 233.48/233.73 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 233.48/233.73 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 233.48/233.73 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 233.48/233.73 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 233.48/233.73 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 233.48/233.73 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 233.48/233.73 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 233.48/233.73 Found x0:(p Xx)
% 233.48/233.73 Instantiate: Xx0:=Xx:nat
% 233.48/233.73 Found x0 as proof of (p Xx0)
% 233.48/233.73 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 233.48/233.73 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 233.48/233.73 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 233.48/233.73 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 233.48/233.73 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 233.48/233.73 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 233.48/233.73 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 233.48/233.73 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 233.48/233.73 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 233.48/233.73 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 233.48/233.73 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 233.48/233.73 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 233.48/233.73 Found x0:(((p Xx)->False)->False)
% 233.48/233.73 Instantiate: Xx0:=Xx:nat
% 233.48/233.73 Found x0 as proof of (((p Xx0)->False)->False)
% 233.48/233.73 Found (et3 x0) as proof of (p Xx0)
% 241.71/241.92 Found ((et (p Xx0)) x0) as proof of (p Xx0)
% 241.71/241.92 Found ((et (p Xx0)) x0) as proof of (p Xx0)
% 241.71/241.92 Found x0:(p Xx)
% 241.71/241.92 Instantiate: Xx0:=Xx:nat
% 241.71/241.92 Found x0 as proof of (p Xx0)
% 241.71/241.92 Found x0:(p Xx)
% 241.71/241.92 Instantiate: Xx0:=Xx:nat
% 241.71/241.92 Found x0 as proof of (p Xx0)
% 241.71/241.92 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 241.71/241.92 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 241.71/241.92 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 241.71/241.92 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 241.71/241.92 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 241.71/241.92 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 241.71/241.92 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 241.71/241.92 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 241.71/241.92 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 241.71/241.92 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 241.71/241.92 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 241.71/241.92 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 241.71/241.92 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 241.71/241.92 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 241.71/241.92 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 241.71/241.92 Found (fun (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 241.71/241.92 Found (fun (Xx_0_0:nat) (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 241.71/241.92 Found (fun (Xx_0_0:nat) (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 241.71/241.92 Found x0:(p Xx)
% 241.71/241.92 Instantiate: Xx0:=Xx:nat
% 241.71/241.92 Found x0 as proof of (p Xx0)
% 241.71/241.92 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 241.71/241.92 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 241.71/241.92 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 241.71/241.92 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 241.71/241.92 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 241.71/241.92 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 241.71/241.92 Found x2:(((p Xx0)->False)->False)
% 241.71/241.92 Instantiate: Xx:=Xx0:nat
% 241.71/241.92 Found x2 as proof of (((p Xx)->False)->False)
% 241.71/241.92 Found (et3 x2) as proof of (p Xx)
% 241.71/241.92 Found ((et (p Xx)) x2) as proof of (p Xx)
% 241.71/241.92 Found ((et (p Xx)) x2) as proof of (p Xx)
% 241.71/241.92 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 241.71/241.92 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 241.71/241.92 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 241.71/241.92 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 241.71/241.92 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 241.71/241.92 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 241.71/241.92 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 241.71/241.92 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 248.90/249.13 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 248.90/249.13 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 248.90/249.13 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 248.90/249.13 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 248.90/249.13 Found x10:((p Xx)->False)
% 248.90/249.13 Instantiate: Xx:=Xx0:nat
% 248.90/249.13 Found x10 as proof of ((p Xx0)->False)
% 248.90/249.13 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 248.90/249.13 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 248.90/249.13 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 248.90/249.13 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 248.90/249.13 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 248.90/249.13 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 248.90/249.13 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 248.90/249.13 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 248.90/249.13 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 248.90/249.13 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 248.90/249.13 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 248.90/249.13 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 248.90/249.13 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 248.90/249.13 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 248.90/249.13 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 248.90/249.13 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 248.90/249.13 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 248.90/249.13 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 248.90/249.13 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 248.90/249.13 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 248.90/249.13 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 248.90/249.13 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 248.90/249.13 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 248.90/249.13 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 248.90/249.13 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 248.90/249.13 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 248.90/249.13 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 248.90/249.13 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 248.90/249.13 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 248.90/249.13 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 248.90/249.13 Found x2:(p Xx0)
% 248.90/249.13 Instantiate: Xx:=Xx0:nat
% 259.33/259.59 Found x2 as proof of (p Xx)
% 259.33/259.59 Found x3:((p Xx)->False)
% 259.33/259.59 Instantiate: Xx:=Xx0:nat
% 259.33/259.59 Found x3 as proof of ((p Xx0)->False)
% 259.33/259.59 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 259.33/259.59 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 259.33/259.59 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 259.33/259.59 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 259.33/259.59 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 259.33/259.59 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 259.33/259.59 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 259.33/259.59 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 259.33/259.59 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 259.33/259.59 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 259.33/259.59 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 259.33/259.59 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 259.33/259.59 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 259.33/259.59 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 259.33/259.59 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 259.33/259.59 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 259.33/259.59 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 259.33/259.59 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 259.33/259.59 Found x2:(p Xx0)
% 259.33/259.59 Instantiate: Xx:=Xx0:nat
% 259.33/259.59 Found x2 as proof of (p Xx)
% 259.33/259.59 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 259.33/259.59 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 259.33/259.59 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 259.33/259.59 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 259.33/259.59 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 259.33/259.59 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 259.33/259.59 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 259.33/259.59 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 259.33/259.59 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 259.33/259.59 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 259.33/259.59 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 259.33/259.59 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 259.33/259.59 Found x0:(p Xx)
% 259.33/259.59 Instantiate: Xx0:=Xx:nat
% 259.33/259.59 Found x0 as proof of (p Xx0)
% 259.33/259.59 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 259.33/259.59 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 259.33/259.59 Found (fun (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 259.33/259.59 Found (fun (Xx_0_0:nat) (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 281.10/281.36 Found (fun (Xx_0_0:nat) (x2:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 281.10/281.36 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 281.10/281.36 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 281.10/281.36 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 281.10/281.36 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 281.10/281.36 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 281.10/281.36 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 281.10/281.36 Found x0:(((p Xx)->False)->False)
% 281.10/281.36 Instantiate: Xx0:=Xx:nat
% 281.10/281.36 Found x0 as proof of (((p Xx0)->False)->False)
% 281.10/281.36 Found (et2 x0) as proof of (p Xx0)
% 281.10/281.36 Found ((et (p Xx0)) x0) as proof of (p Xx0)
% 281.10/281.36 Found ((et (p Xx0)) x0) as proof of (p Xx0)
% 281.10/281.36 Found x0:(p Xx)
% 281.10/281.36 Instantiate: Xx0:=Xx:nat
% 281.10/281.36 Found x0 as proof of (p Xx0)
% 281.10/281.36 Found x0:(p Xx)
% 281.10/281.36 Instantiate: Xx0:=Xx:nat
% 281.10/281.36 Found x0 as proof of (p Xx0)
% 281.10/281.36 Found x0:(p Xx)
% 281.10/281.36 Instantiate: Xx0:=Xx:nat
% 281.10/281.36 Found x0 as proof of (p Xx0)
% 281.10/281.36 Found x0:(p Xx)
% 281.10/281.36 Instantiate: Xx0:=Xx:nat
% 281.10/281.36 Found x0 as proof of (p Xx0)
% 281.10/281.36 Found x2:(p Xx0)
% 281.10/281.36 Instantiate: Xx:=Xx0:nat
% 281.10/281.36 Found x2 as proof of (p Xx)
% 281.10/281.36 Found x3:((((p Xx)->False)->False)->False)
% 281.10/281.36 Instantiate: Xx:=Xx0:nat
% 281.10/281.36 Found x3 as proof of ((((p Xx0)->False)->False)->False)
% 281.10/281.36 Found (et3 x3) as proof of ((p Xx0)->False)
% 281.10/281.36 Found ((et ((p Xx0)->False)) x3) as proof of ((p Xx0)->False)
% 281.10/281.36 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 281.10/281.36 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 281.10/281.36 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 281.10/281.36 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 281.10/281.36 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 281.10/281.36 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 281.10/281.36 Found x2:(((p Xx0)->False)->False)
% 281.10/281.36 Instantiate: Xx:=Xx0:nat
% 281.10/281.36 Found x2 as proof of (((p Xx)->False)->False)
% 281.10/281.36 Found (et2 x2) as proof of (p Xx)
% 281.10/281.36 Found ((et (p Xx)) x2) as proof of (p Xx)
% 281.10/281.36 Found ((et (p Xx)) x2) as proof of (p Xx)
% 281.10/281.36 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 281.10/281.36 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 281.10/281.36 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 281.10/281.36 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 281.10/281.36 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 281.10/281.36 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 281.10/281.36 Found x2:(p Xx)
% 281.10/281.36 Instantiate: Xx0:=Xx:nat
% 281.10/281.36 Found x2 as proof of (p Xx0)
% 281.10/281.36 Found x3:((((p Xx)->False)->False)->False)
% 281.10/281.36 Instantiate: Xx:=Xx0:nat
% 281.10/281.36 Found x3 as proof of ((((p Xx0)->False)->False)->False)
% 281.10/281.36 Found (et3 x3) as proof of ((p Xx0)->False)
% 281.10/281.36 Found ((et ((p Xx0)->False)) x3) as proof of ((p Xx0)->False)
% 281.10/281.36 Found eq_ref000:=(eq_ref00 P):((P Xx)->(P Xx))
% 281.10/281.36 Found (eq_ref00 P) as proof of ((P Xx)->(P Xx_0_0))
% 281.10/281.36 Found ((eq_ref0 Xx) P) as proof of ((P Xx)->(P Xx_0_0))
% 281.10/281.36 Found (((eq_ref nat) Xx) P) as proof of ((P Xx)->(P Xx_0_0))
% 281.10/281.36 Found (((eq_ref nat) Xx) P) as proof of ((P Xx)->(P Xx_0_0))
% 281.10/281.36 Found (fun (P:(nat->Prop))=> (((eq_ref nat) Xx) P)) as proof of ((P Xx)->(P Xx_0_0))
% 281.10/281.36 Found (fun (x3:(((less Xx) Xx_0_0)->False)) (P:(nat->Prop))=> (((eq_ref nat) Xx) P)) as proof of (((eq nat) Xx) Xx_0_0)
% 291.60/291.88 Found (fun (x2:(p Xx_0_0)) (x3:(((less Xx) Xx_0_0)->False)) (P:(nat->Prop))=> (((eq_ref nat) Xx) P)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 291.60/291.88 Found x4:(P Xx)
% 291.60/291.88 Instantiate: Xx:=Xx_0_0:nat
% 291.60/291.88 Found (fun (x4:(P Xx))=> x4) as proof of (P Xx_0_0)
% 291.60/291.88 Found (fun (P:(nat->Prop)) (x4:(P Xx))=> x4) as proof of ((P Xx)->(P Xx_0_0))
% 291.60/291.88 Found (fun (x3:(((less Xx) Xx_0_0)->False)) (P:(nat->Prop)) (x4:(P Xx))=> x4) as proof of (((eq nat) Xx) Xx_0_0)
% 291.60/291.88 Found (fun (x2:(p Xx_0_0)) (x3:(((less Xx) Xx_0_0)->False)) (P:(nat->Prop)) (x4:(P Xx))=> x4) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 291.60/291.88 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 291.60/291.88 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 291.60/291.88 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 291.60/291.88 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 291.60/291.88 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 291.60/291.88 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 291.60/291.88 Found eq_ref00:=(eq_ref0 Xx):(((eq nat) Xx) Xx)
% 291.60/291.88 Found (eq_ref0 Xx) as proof of (((eq nat) Xx) Xx_0_0)
% 291.60/291.88 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xx_0_0)
% 291.60/291.88 Found ((eq_ref nat) Xx) as proof of (((eq nat) Xx) Xx_0_0)
% 291.60/291.88 Found (fun (x3:(((less Xx) Xx_0_0)->False))=> ((eq_ref nat) Xx)) as proof of (((eq nat) Xx) Xx_0_0)
% 291.60/291.88 Found (fun (x2:(p Xx_0_0)) (x3:(((less Xx) Xx_0_0)->False))=> ((eq_ref nat) Xx)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 291.60/291.88 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 291.60/291.88 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 291.60/291.88 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 291.60/291.88 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 291.60/291.88 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 291.60/291.88 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 291.60/291.88 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 291.60/291.88 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 291.60/291.88 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 291.60/291.88 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 291.60/291.88 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 291.60/291.88 Found satz24a0:=(satz24a Xy):((((less n_1) Xy)->False)->(((eq nat) n_1) Xy))
% 291.60/291.88 Found (satz24a Xy) as proof of ((((less Xx) Xy)->False)->(((eq nat) Xx) Xy))
% 291.60/291.88 Found (satz24a Xy) as proof of ((((less Xx) Xy)->False)->(((eq nat) Xx) Xy))
% 291.60/291.88 Found (satz24a Xy) as proof of ((((less Xx) Xy)->False)->(((eq nat) Xx) Xy))
% 291.60/291.88 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 291.60/291.88 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 291.60/291.88 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 291.60/291.88 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 291.60/291.88 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 291.60/291.88 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 291.60/291.88 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 299.02/299.27 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 299.02/299.27 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 299.02/299.27 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 299.02/299.27 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 299.02/299.27 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 299.02/299.27 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 299.02/299.27 Found (fun (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 299.02/299.27 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 299.02/299.27 Found (fun (Xx_0_0:nat) (x3:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 299.02/299.27 Found x0:(p Xx)
% 299.02/299.27 Instantiate: Xx0:=Xx:nat
% 299.02/299.27 Found x0 as proof of (p Xx0)
% 299.02/299.27 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 299.02/299.27 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 299.02/299.27 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 299.02/299.27 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 299.02/299.27 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 299.02/299.27 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 299.02/299.27 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 299.02/299.27 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 299.02/299.27 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 299.02/299.27 Found (fun (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 299.02/299.27 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 299.02/299.27 Found (fun (Xx_0_0:nat) (x5:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 299.02/299.27 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 299.02/299.27 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 299.02/299.27 Found (satz24a Xx_0_0) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 299.02/299.27 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))
% 299.02/299.27 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0)))
% 299.02/299.27 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx) Xx_0_0)->False)->(((eq nat) Xx) Xx_0_0))))
% 299.02/299.27 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 299.02/299.27 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 299.02/299.27 Found (satz24a Xx_0_0) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 299.02/299.27 Found (fun (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))
% 299.02/299.27 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0)))
% 299.02/299.27 Found (fun (Xx_0_0:nat) (x4:(p Xx_0_0))=> (satz24a Xx_0_0)) as proof of (forall (Xx_0_0:nat), ((p Xx_0_0)->((((less Xx0) Xx_0_0)->False)->(((eq nat) Xx0) Xx_0_0))))
% 299.02/299.27 Found satz24a0:=(satz24a Xx_0_0):((((less n_1) Xx_0_0)->False)->(((eq nat) n_1) Xx_0_0))
% 299.02/299.27 Found (satz24a Xx_0_0) as proof
%------------------------------------------------------------------------------