TSTP Solution File: NUM757^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM757^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n171.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 13:11:39 EST 2018
% Result : Theorem 4.42s
% Output : Proof 4.42s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM757^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.24 % Computer : n171.star.cs.uiowa.edu
% 0.02/0.24 % Model : x86_64 x86_64
% 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24 % Memory : 32218.625MB
% 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.24 % CPULimit : 300
% 0.02/0.24 % DateTime : Fri Jan 5 13:51:48 CST 2018
% 0.02/0.24 % CPUTime :
% 0.02/0.25 Python 2.7.13
% 0.68/0.88 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x2b68cbb7e248>, <kernel.Type object at 0x2b68cbb7ef38>) of role type named frac_type
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring frac:Type
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x2b68cb897560>, <kernel.Constant object at 0x2b68cbb7e200>) of role type named x
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring x:frac
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x2b68cbb7e998>, <kernel.Constant object at 0x2b68cbb7e200>) of role type named y
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring y:frac
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x2b68cbb7e248>, <kernel.Constant object at 0x2b68cbb7e200>) of role type named z
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring z:frac
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x2b68cbb7eef0>, <kernel.DependentProduct object at 0x2b68cbb7e320>) of role type named lessf
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring lessf:(frac->(frac->Prop))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x2b68cbb7eb00>, <kernel.DependentProduct object at 0x2b68cb8935f0>) of role type named pf
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring pf:(frac->(frac->frac))
% 0.68/0.88 FOF formula ((lessf ((pf x) z)) ((pf y) z)) of role axiom named l
% 0.68/0.88 A new axiom: ((lessf ((pf x) z)) ((pf y) z))
% 0.68/0.88 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et
% 0.68/0.88 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x2b68cbb7e320>, <kernel.DependentProduct object at 0x2b68cbb7ed88>) of role type named moref
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring moref:(frac->(frac->Prop))
% 0.68/0.88 FOF formula (<kernel.Constant object at 0x2b68cbb7eef0>, <kernel.DependentProduct object at 0x2b68cbb7e638>) of role type named eq
% 0.68/0.88 Using role type
% 0.68/0.88 Declaring _TPTP_eq:(frac->(frac->Prop))
% 0.68/0.88 FOF formula (forall (Xx:frac) (Xy:frac), (((((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))->((((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False)->False))->False)) of role axiom named satz41b
% 0.68/0.88 A new axiom: (forall (Xx:frac) (Xy:frac), (((((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))->((((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False)->False))->False))
% 0.68/0.88 FOF formula (forall (Xx:frac) (Xy:frac) (Xz:frac), (((moref Xx) Xy)->((moref ((pf Xx) Xz)) ((pf Xy) Xz)))) of role axiom named satz62a
% 0.68/0.88 A new axiom: (forall (Xx:frac) (Xy:frac) (Xz:frac), (((moref Xx) Xy)->((moref ((pf Xx) Xz)) ((pf Xy) Xz))))
% 0.68/0.88 FOF formula (forall (Xx:frac) (Xy:frac) (Xz:frac), (((_TPTP_eq Xx) Xy)->((_TPTP_eq ((pf Xx) Xz)) ((pf Xy) Xz)))) of role axiom named satz62b
% 0.68/0.88 A new axiom: (forall (Xx:frac) (Xy:frac) (Xz:frac), (((_TPTP_eq Xx) Xy)->((_TPTP_eq ((pf Xx) Xz)) ((pf Xy) Xz))))
% 0.68/0.88 FOF formula (forall (Xx:frac) (Xy:frac), ((((_TPTP_eq Xx) Xy)->False)->((((moref Xx) Xy)->False)->((lessf Xx) Xy)))) of role axiom named satz41a
% 0.68/0.88 A new axiom: (forall (Xx:frac) (Xy:frac), ((((_TPTP_eq Xx) Xy)->False)->((((moref Xx) Xy)->False)->((lessf Xx) Xy))))
% 0.68/0.88 FOF formula ((lessf x) y) of role conjecture named satz63c
% 0.68/0.88 Conjecture to prove = ((lessf x) y):Prop
% 0.68/0.88 We need to prove ['((lessf x) y)']
% 0.68/0.88 Parameter frac:Type.
% 0.68/0.88 Parameter x:frac.
% 0.68/0.88 Parameter y:frac.
% 0.68/0.88 Parameter z:frac.
% 0.68/0.88 Parameter lessf:(frac->(frac->Prop)).
% 0.68/0.88 Parameter pf:(frac->(frac->frac)).
% 0.68/0.88 Axiom l:((lessf ((pf x) z)) ((pf y) z)).
% 0.68/0.88 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)).
% 0.68/0.88 Parameter moref:(frac->(frac->Prop)).
% 0.68/0.88 Parameter _TPTP_eq:(frac->(frac->Prop)).
% 0.68/0.88 Axiom satz41b:(forall (Xx:frac) (Xy:frac), (((((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))->((((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False)->False))->False)).
% 0.68/0.88 Axiom satz62a:(forall (Xx:frac) (Xy:frac) (Xz:frac), (((moref Xx) Xy)->((moref ((pf Xx) Xz)) ((pf Xy) Xz)))).
% 0.68/0.88 Axiom satz62b:(forall (Xx:frac) (Xy:frac) (Xz:frac), (((_TPTP_eq Xx) Xy)->((_TPTP_eq ((pf Xx) Xz)) ((pf Xy) Xz)))).
% 0.68/0.88 Axiom satz41a:(forall (Xx:frac) (Xy:frac), ((((_TPTP_eq Xx) Xy)->False)->((((moref Xx) Xy)->False)->((lessf Xx) Xy)))).
% 0.68/0.88 Trying to prove ((lessf x) y)
% 0.68/0.88 Found l:((lessf ((pf x) z)) ((pf y) z))
% 0.68/0.88 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 3.39/3.67 Found l as proof of ((lessf Xx) Xy)
% 3.39/3.67 Found l:((lessf ((pf x) z)) ((pf y) z))
% 3.39/3.67 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 3.39/3.67 Found l as proof of ((lessf Xx) Xy)
% 3.39/3.67 Found x0:((_TPTP_eq x) y)
% 3.39/3.67 Instantiate: Xx:=x:frac;Xy:=y:frac
% 3.39/3.67 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 3.39/3.67 Found x0:((moref x) y)
% 3.39/3.67 Instantiate: Xx:=x:frac;Xy:=y:frac
% 3.39/3.67 Found x0 as proof of ((moref Xx) Xy)
% 3.39/3.67 Found x0:((moref x) y)
% 3.39/3.67 Instantiate: Xx:=x:frac;Xy:=y:frac
% 3.39/3.67 Found x0 as proof of ((moref Xx) Xy)
% 3.39/3.67 Found x0:((_TPTP_eq x) y)
% 3.39/3.67 Instantiate: Xx:=x:frac;Xy:=y:frac
% 3.39/3.67 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 3.39/3.67 Found x0:((_TPTP_eq x) y)
% 3.39/3.67 Instantiate: Xx:=x:frac;Xy:=y:frac
% 3.39/3.67 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 3.39/3.67 Found l:((lessf ((pf x) z)) ((pf y) z))
% 3.39/3.67 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 3.39/3.67 Found l as proof of ((lessf Xx) Xy)
% 3.39/3.67 Found l:((lessf ((pf x) z)) ((pf y) z))
% 3.39/3.67 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 3.39/3.67 Found l as proof of ((lessf Xx) Xy)
% 3.39/3.67 Found x0:((moref x) y)
% 3.39/3.67 Instantiate: Xx:=x:frac;Xy:=y:frac
% 3.39/3.67 Found x0 as proof of ((moref Xx) Xy)
% 3.39/3.67 Found l:((lessf ((pf x) z)) ((pf y) z))
% 3.39/3.67 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 3.39/3.67 Found l as proof of ((lessf Xx) Xy)
% 3.39/3.67 Found x0:((moref x) y)
% 3.39/3.67 Instantiate: Xx:=x:frac;Xy:=y:frac
% 3.39/3.67 Found x0 as proof of ((moref Xx) Xy)
% 3.39/3.67 Found x0:((_TPTP_eq x) y)
% 3.39/3.67 Instantiate: Xx:=x:frac;Xy:=y:frac
% 3.39/3.67 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 3.39/3.67 Found x0:((moref x) y)
% 3.39/3.67 Instantiate: Xx:=x:frac;Xy:=y:frac
% 3.39/3.67 Found x0 as proof of ((moref Xx) Xy)
% 3.39/3.67 Found x0:((_TPTP_eq x) y)
% 3.39/3.67 Instantiate: Xx:=x:frac;Xy:=y:frac
% 3.39/3.67 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 3.39/3.67 Found l:((lessf ((pf x) z)) ((pf y) z))
% 3.39/3.67 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 3.39/3.67 Found l as proof of ((lessf Xx) Xy)
% 3.39/3.67 Found l:((lessf ((pf x) z)) ((pf y) z))
% 3.39/3.67 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 3.39/3.67 Found l as proof of ((lessf Xx) Xy)
% 3.39/3.67 Found l:((lessf ((pf x) z)) ((pf y) z))
% 3.39/3.67 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 3.39/3.67 Found l as proof of ((lessf Xx) Xy)
% 3.39/3.67 Found x0:((moref x) y)
% 3.39/3.67 Instantiate: Xx:=x:frac;Xy:=y:frac
% 3.39/3.67 Found x0 as proof of ((moref Xx) Xy)
% 3.39/3.67 Found x0:((_TPTP_eq x) y)
% 3.39/3.67 Instantiate: Xx:=x:frac;Xy:=y:frac
% 3.39/3.67 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 3.39/3.67 Found l:((lessf ((pf x) z)) ((pf y) z))
% 3.39/3.67 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 3.39/3.67 Found l as proof of ((lessf Xx) Xy)
% 3.39/3.67 Found l:((lessf ((pf x) z)) ((pf y) z))
% 3.39/3.67 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 3.39/3.67 Found l as proof of ((lessf Xx) Xy)
% 3.39/3.67 Found satz62a0000:=(satz62a000 z):((moref ((pf x) z)) ((pf y) z))
% 3.39/3.67 Found (satz62a000 z) as proof of ((moref Xx) Xy)
% 3.39/3.67 Found ((fun (Xz:frac)=> ((satz62a00 Xz) x0)) z) as proof of ((moref Xx) Xy)
% 3.39/3.67 Found ((fun (Xz:frac)=> (((satz62a0 y) Xz) x0)) z) as proof of ((moref Xx) Xy)
% 3.39/3.67 Found ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z) as proof of ((moref Xx) Xy)
% 3.39/3.67 Found ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z) as proof of ((moref Xx) Xy)
% 3.39/3.67 Found ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l) as proof of False
% 3.39/3.67 Found (fun (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l)) as proof of False
% 3.39/3.67 Found (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l)) as proof of ((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False)
% 3.39/3.67 Found (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l)) as proof of ((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))
% 3.39/3.67 Found (x2 (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l))) as proof of False
% 3.39/3.67 Found (fun (x2:(((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False))=> (x2 (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l)))) as proof of False
% 3.69/3.97 Found (fun (x1:(((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))) (x2:(((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False))=> (x2 (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l)))) as proof of ((((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False)->False)
% 3.69/3.97 Found (fun (x1:(((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))) (x2:(((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False))=> (x2 (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l)))) as proof of ((((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))->((((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False)->False))
% 3.69/3.97 Found (satz41b00 (fun (x1:(((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))) (x2:(((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False))=> (x2 (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l))))) as proof of False
% 3.69/3.97 Found ((satz41b0 ((pf y) z)) (fun (x1:(((_TPTP_eq Xx) ((pf y) z))->(((moref Xx) ((pf y) z))->False))) (x2:(((((moref Xx) ((pf y) z))->(((lessf Xx) ((pf y) z))->False))->((((lessf Xx) ((pf y) z))->(((_TPTP_eq Xx) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref Xx) ((pf y) z))->(((lessf Xx) ((pf y) z))->False))) (x4:(((lessf Xx) ((pf y) z))->(((_TPTP_eq Xx) ((pf y) z))->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l))))) as proof of False
% 3.69/3.97 Found (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l))))) as proof of False
% 3.69/3.97 Found (fun (x0:((moref x) y))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l)))))) as proof of False
% 3.69/3.97 Found (fun (x0:((moref x) y))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l)))))) as proof of (((moref x) y)->False)
% 3.69/3.97 Found l:((lessf ((pf x) z)) ((pf y) z))
% 3.69/3.97 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 3.69/3.97 Found l as proof of ((lessf Xx) Xy)
% 3.69/3.97 Found l:((lessf ((pf x) z)) ((pf y) z))
% 3.69/3.97 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 3.69/3.97 Found l as proof of ((lessf Xx) Xy)
% 3.69/3.97 Found l:((lessf ((pf x) z)) ((pf y) z))
% 3.69/3.97 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 3.69/3.97 Found l as proof of ((lessf Xx) Xy)
% 3.69/3.97 Found x0:((_TPTP_eq x) y)
% 3.69/3.97 Instantiate: Xx:=x:frac;Xy:=y:frac
% 4.39/4.60 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 4.39/4.60 Found x0:((_TPTP_eq x) y)
% 4.39/4.60 Instantiate: Xx:=x:frac;Xy:=y:frac
% 4.39/4.60 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 4.39/4.60 Found l:((lessf ((pf x) z)) ((pf y) z))
% 4.39/4.60 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 4.39/4.60 Found l as proof of ((lessf Xx) Xy)
% 4.39/4.60 Found x0:((_TPTP_eq x) y)
% 4.39/4.60 Instantiate: Xx:=x:frac;Xy:=y:frac
% 4.39/4.60 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 4.39/4.60 Found l:((lessf ((pf x) z)) ((pf y) z))
% 4.39/4.60 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 4.39/4.60 Found l as proof of ((lessf Xx) Xy)
% 4.39/4.60 Found l:((lessf ((pf x) z)) ((pf y) z))
% 4.39/4.60 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 4.39/4.60 Found l as proof of ((lessf Xx) Xy)
% 4.39/4.60 Found l:((lessf ((pf x) z)) ((pf y) z))
% 4.39/4.60 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 4.39/4.60 Found l as proof of ((lessf Xx) Xy)
% 4.39/4.60 Found x0:((_TPTP_eq x) y)
% 4.39/4.60 Instantiate: Xx:=x:frac;Xy:=y:frac
% 4.39/4.60 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 4.39/4.60 Found x0:((_TPTP_eq x) y)
% 4.39/4.60 Instantiate: Xx:=x:frac;Xy:=y:frac
% 4.39/4.60 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 4.39/4.60 Found l:((lessf ((pf x) z)) ((pf y) z))
% 4.39/4.60 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 4.39/4.60 Found l as proof of ((lessf Xx) Xy)
% 4.39/4.60 Found x0:((_TPTP_eq x) y)
% 4.39/4.60 Instantiate: Xx:=x:frac;Xy:=y:frac
% 4.39/4.60 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 4.39/4.60 Found l:((lessf ((pf x) z)) ((pf y) z))
% 4.39/4.60 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 4.39/4.60 Found l as proof of ((lessf Xx) Xy)
% 4.39/4.60 Found x0:((_TPTP_eq x) y)
% 4.39/4.60 Instantiate: Xx:=x:frac;Xy:=y:frac
% 4.39/4.60 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 4.39/4.60 Found l:((lessf ((pf x) z)) ((pf y) z))
% 4.39/4.60 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 4.39/4.60 Found l as proof of ((lessf Xx) Xy)
% 4.39/4.60 Found x0:((_TPTP_eq x) y)
% 4.39/4.60 Instantiate: Xx:=x:frac;Xy:=y:frac
% 4.39/4.60 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 4.39/4.60 Found x0:((_TPTP_eq x) y)
% 4.39/4.60 Instantiate: Xx:=x:frac;Xy:=y:frac
% 4.39/4.60 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 4.39/4.60 Found l:((lessf ((pf x) z)) ((pf y) z))
% 4.39/4.60 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 4.39/4.60 Found l as proof of ((lessf Xx) Xy)
% 4.39/4.60 Found l:((lessf ((pf x) z)) ((pf y) z))
% 4.39/4.60 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 4.39/4.60 Found l as proof of ((lessf Xx) Xy)
% 4.39/4.60 Found x0:((_TPTP_eq x) y)
% 4.39/4.60 Instantiate: Xx:=x:frac;Xy:=y:frac
% 4.39/4.60 Found x0 as proof of ((_TPTP_eq Xx) Xy)
% 4.39/4.60 Found satz62b0000:=(satz62b000 z):((_TPTP_eq ((pf x) z)) ((pf y) z))
% 4.39/4.60 Found (satz62b000 z) as proof of ((_TPTP_eq Xx) Xy)
% 4.39/4.60 Found ((fun (Xz:frac)=> ((satz62b00 Xz) x0)) z) as proof of ((_TPTP_eq Xx) Xy)
% 4.39/4.60 Found ((fun (Xz:frac)=> (((satz62b0 y) Xz) x0)) z) as proof of ((_TPTP_eq Xx) Xy)
% 4.39/4.60 Found ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z) as proof of ((_TPTP_eq Xx) Xy)
% 4.39/4.60 Found ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z) as proof of ((_TPTP_eq Xx) Xy)
% 4.39/4.60 Found ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z)) as proof of False
% 4.39/4.60 Found (fun (x5:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z))) as proof of False
% 4.39/4.60 Found (fun (x4:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x5:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z))) as proof of ((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False)
% 4.39/4.60 Found (fun (x4:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x5:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z))) as proof of ((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))
% 4.39/4.60 Found (x3 (fun (x4:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x5:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z)))) as proof of False
% 4.39/4.60 Found (fun (x3:(((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False))=> (x3 (fun (x4:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x5:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z))))) as proof of False
% 4.39/4.60 Found (fun (x2:(((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))) (x3:(((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False))=> (x3 (fun (x4:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x5:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z))))) as proof of ((((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False)->False)
% 4.41/4.61 Found (fun (x2:(((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))) (x3:(((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False))=> (x3 (fun (x4:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x5:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z))))) as proof of ((((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))->((((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False)->False))
% 4.41/4.61 Found (satz41b00 (fun (x2:(((_TPTP_eq Xx) Xy)->(((moref Xx) Xy)->False))) (x3:(((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False))=> (x3 (fun (x4:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x5:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z)))))) as proof of False
% 4.41/4.61 Found ((satz41b0 ((pf y) z)) (fun (x2:(((_TPTP_eq Xx) ((pf y) z))->(((moref Xx) ((pf y) z))->False))) (x3:(((((moref Xx) ((pf y) z))->(((lessf Xx) ((pf y) z))->False))->((((lessf Xx) ((pf y) z))->(((_TPTP_eq Xx) ((pf y) z))->False))->False))->False))=> (x3 (fun (x4:(((moref Xx) ((pf y) z))->(((lessf Xx) ((pf y) z))->False))) (x5:(((lessf Xx) ((pf y) z))->(((_TPTP_eq Xx) ((pf y) z))->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z)))))) as proof of False
% 4.41/4.61 Found (((satz41b ((pf x) z)) ((pf y) z)) (fun (x2:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x3:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x3 (fun (x4:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x5:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z)))))) as proof of False
% 4.41/4.61 Found (fun (x1:(False->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x2:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x3:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x3 (fun (x4:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x5:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z))))))) as proof of False
% 4.41/4.61 Found (fun (x1:(False->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x2:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x3:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x3 (fun (x4:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x5:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z))))))) as proof of ((False->False)->False)
% 4.41/4.61 Found (et0 (fun (x1:(False->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x2:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x3:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x3 (fun (x4:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x5:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z)))))))) as proof of False
% 4.41/4.61 Found ((et False) (fun (x1:(False->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x2:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x3:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x3 (fun (x4:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x5:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z)))))))) as proof of False
% 4.42/4.62 Found (fun (x0:((_TPTP_eq x) y))=> ((et False) (fun (x1:(False->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x2:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x3:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x3 (fun (x4:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x5:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z))))))))) as proof of False
% 4.42/4.62 Found (fun (x0:((_TPTP_eq x) y))=> ((et False) (fun (x1:(False->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x2:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x3:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x3 (fun (x4:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x5:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z))))))))) as proof of (((_TPTP_eq x) y)->False)
% 4.42/4.62 Found ((satz41a00 (fun (x0:((_TPTP_eq x) y))=> ((et False) (fun (x1:(False->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x2:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x3:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x3 (fun (x4:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x5:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z)))))))))) (fun (x0:((moref x) y))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l))))))) as proof of ((lessf x) y)
% 4.42/4.62 Found (((satz41a0 y) (fun (x0:((_TPTP_eq x) y))=> ((et False) (fun (x1:(False->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x2:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x3:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x3 (fun (x4:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x5:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z)))))))))) (fun (x0:((moref x) y))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l))))))) as proof of ((lessf x) y)
% 4.42/4.62 Found ((((satz41a x) y) (fun (x0:((_TPTP_eq x) y))=> ((et False) (fun (x1:(False->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x2:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x3:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x3 (fun (x4:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x5:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z)))))))))) (fun (x0:((moref x) y))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l))))))) as proof of ((lessf x) y)
% 4.42/4.62 Found ((((satz41a x) y) (fun (x0:((_TPTP_eq x) y))=> ((et False) (fun (x1:(False->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x2:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x3:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x3 (fun (x4:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x5:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z)))))))))) (fun (x0:((moref x) y))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l))))))) as proof of ((lessf x) y)
% 4.42/4.62 Got proof ((((satz41a x) y) (fun (x0:((_TPTP_eq x) y))=> ((et False) (fun (x1:(False->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x2:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x3:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x3 (fun (x4:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x5:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z)))))))))) (fun (x0:((moref x) y))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l)))))))
% 4.42/4.62 Time elapsed = 4.070012s
% 4.42/4.62 node=1065 cost=1070.000000 depth=25
% 4.42/4.62::::::::::::::::::::::
% 4.42/4.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.42/4.62 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.42/4.67 ((((satz41a x) y) (fun (x0:((_TPTP_eq x) y))=> ((et False) (fun (x1:(False->False))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x2:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x3:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x3 (fun (x4:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x5:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x5 l) ((fun (Xz:frac)=> ((((satz62b x) y) Xz) x0)) z)))))))))) (fun (x0:((moref x) y))=> (((satz41b ((pf x) z)) ((pf y) z)) (fun (x1:(((_TPTP_eq ((pf x) z)) ((pf y) z))->(((moref ((pf x) z)) ((pf y) z))->False))) (x2:(((((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))->((((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False))->False))->False))=> (x2 (fun (x3:(((moref ((pf x) z)) ((pf y) z))->(((lessf ((pf x) z)) ((pf y) z))->False))) (x4:(((lessf ((pf x) z)) ((pf y) z))->(((_TPTP_eq ((pf x) z)) ((pf y) z))->False)))=> ((x3 ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x0)) z)) l)))))))
% 4.42/4.67 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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