TSTP Solution File: NUM756^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM756^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n133.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 1.52s
% Output : Proof 1.52s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM756^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.24 % Computer : n133.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.625MB
% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Fri Jan 5 13:51:49 CST 2018
% 0.03/0.24 % CPUTime :
% 0.07/0.28 Python 2.7.13
% 0.44/0.90 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e154e4e18>, <kernel.Type object at 0x2b8e154e4830>) of role type named frac_type
% 0.44/0.90 Using role type
% 0.44/0.90 Declaring frac:Type
% 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e1559ad40>, <kernel.Constant object at 0x2b8e154e4878>) of role type named x
% 0.44/0.90 Using role type
% 0.44/0.90 Declaring x:frac
% 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e154e4bd8>, <kernel.Constant object at 0x2b8e154e4878>) of role type named y
% 0.44/0.90 Using role type
% 0.44/0.90 Declaring y:frac
% 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e154e4e18>, <kernel.Constant object at 0x2b8e154e4f38>) of role type named z
% 0.44/0.90 Using role type
% 0.44/0.90 Declaring z:frac
% 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e154e4bd8>, <kernel.DependentProduct object at 0x2b8e151fdcf8>) of role type named eq
% 0.44/0.90 Using role type
% 0.44/0.90 Declaring _TPTP_eq:(frac->(frac->Prop))
% 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e154e4f38>, <kernel.DependentProduct object at 0x2b8e151fd290>) of role type named pf
% 0.44/0.90 Using role type
% 0.44/0.90 Declaring pf:(frac->(frac->frac))
% 0.44/0.90 FOF formula ((_TPTP_eq ((pf x) z)) ((pf y) z)) of role axiom named e
% 0.44/0.90 A new axiom: ((_TPTP_eq ((pf x) z)) ((pf y) z))
% 0.44/0.90 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et
% 0.44/0.90 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa))
% 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e154e4878>, <kernel.DependentProduct object at 0x2b8e151fde60>) of role type named lessf
% 0.44/0.90 Using role type
% 0.44/0.90 Declaring lessf:(frac->(frac->Prop))
% 0.44/0.90 FOF formula (<kernel.Constant object at 0x2b8e154e4878>, <kernel.DependentProduct object at 0x2b8e151fd998>) of role type named moref
% 0.44/0.90 Using role type
% 0.44/0.90 Declaring moref:(frac->(frac->Prop))
% 0.44/0.90 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
% 0.44/0.90 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))
% 0.44/0.90 FOF formula (forall (Xx:frac) (Xy:frac) (Xz:frac), (((lessf Xx) Xy)->((lessf ((pf Xx) Xz)) ((pf Xy) Xz)))) of role axiom named satz62c
% 0.44/0.90 A new axiom: (forall (Xx:frac) (Xy:frac) (Xz:frac), (((lessf Xx) Xy)->((lessf ((pf Xx) Xz)) ((pf Xy) Xz))))
% 0.44/0.90 FOF formula (forall (Xx:frac) (Xy:frac), ((((_TPTP_eq Xx) Xy)->False)->((((moref Xx) Xy)->False)->((lessf Xx) Xy)))) of role axiom named satz41a
% 0.44/0.90 A new axiom: (forall (Xx:frac) (Xy:frac), ((((_TPTP_eq Xx) Xy)->False)->((((moref Xx) Xy)->False)->((lessf Xx) Xy))))
% 0.44/0.90 FOF formula (forall (Xx:frac) (Xy:frac) (Xz:frac), (((moref Xx) Xy)->((moref ((pf Xx) Xz)) ((pf Xy) Xz)))) of role axiom named satz62a
% 0.44/0.90 A new axiom: (forall (Xx:frac) (Xy:frac) (Xz:frac), (((moref Xx) Xy)->((moref ((pf Xx) Xz)) ((pf Xy) Xz))))
% 0.44/0.90 FOF formula ((_TPTP_eq x) y) of role conjecture named satz63b
% 0.44/0.90 Conjecture to prove = ((_TPTP_eq x) y):Prop
% 0.44/0.90 We need to prove ['((_TPTP_eq x) y)']
% 0.44/0.90 Parameter frac:Type.
% 0.44/0.90 Parameter x:frac.
% 0.44/0.90 Parameter y:frac.
% 0.44/0.90 Parameter z:frac.
% 0.44/0.90 Parameter _TPTP_eq:(frac->(frac->Prop)).
% 0.44/0.90 Parameter pf:(frac->(frac->frac)).
% 0.44/0.90 Axiom e:((_TPTP_eq ((pf x) z)) ((pf y) z)).
% 0.44/0.90 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)).
% 0.44/0.90 Parameter lessf:(frac->(frac->Prop)).
% 0.44/0.90 Parameter moref:(frac->(frac->Prop)).
% 0.44/0.90 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)).
% 0.44/0.90 Axiom satz62c:(forall (Xx:frac) (Xy:frac) (Xz:frac), (((lessf Xx) Xy)->((lessf ((pf Xx) Xz)) ((pf Xy) Xz)))).
% 0.44/0.90 Axiom satz41a:(forall (Xx:frac) (Xy:frac), ((((_TPTP_eq Xx) Xy)->False)->((((moref Xx) Xy)->False)->((lessf Xx) Xy)))).
% 0.44/0.90 Axiom satz62a:(forall (Xx:frac) (Xy:frac) (Xz:frac), (((moref Xx) Xy)->((moref ((pf Xx) Xz)) ((pf Xy) Xz)))).
% 0.44/0.90 Trying to prove ((_TPTP_eq x) y)
% 0.44/0.90 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z))
% 0.44/0.90 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy)
% 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z))
% 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy)
% 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z))
% 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy)
% 1.52/1.94 Found x0:(((_TPTP_eq x) y)->False)
% 1.52/1.94 Instantiate: Xx:=x:frac;Xy:=y:frac
% 1.52/1.94 Found x0 as proof of (((_TPTP_eq Xx) Xy)->False)
% 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z))
% 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy)
% 1.52/1.94 Found (x1 e) as proof of (((moref Xx) Xy)->False)
% 1.52/1.94 Found (x1 e) as proof of (((moref Xx) Xy)->False)
% 1.52/1.94 Found x10:=(x1 e):(((moref Xx) Xy)->False)
% 1.52/1.94 Found (x1 e) as proof of (((moref Xx) Xy)->False)
% 1.52/1.94 Found (x1 e) as proof of (((moref Xx) Xy)->False)
% 1.52/1.94 Found x5:((_TPTP_eq Xx) Xy)
% 1.52/1.94 Found x5 as proof of ((_TPTP_eq Xx) Xy)
% 1.52/1.94 Found x5:((moref Xx) Xy)
% 1.52/1.94 Found x5 as proof of ((moref Xx) Xy)
% 1.52/1.94 Found x0:(((_TPTP_eq x) y)->False)
% 1.52/1.94 Instantiate: Xx:=x:frac;Xy:=y:frac
% 1.52/1.94 Found x0 as proof of (((_TPTP_eq Xx) Xy)->False)
% 1.52/1.94 Found x0:(((_TPTP_eq x) y)->False)
% 1.52/1.94 Found x0 as proof of (((_TPTP_eq x) y)->False)
% 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z))
% 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy)
% 1.52/1.94 Found (x1 e) as proof of (((moref Xx) Xy)->False)
% 1.52/1.94 Found (x1 e) as proof of (((moref Xx) Xy)->False)
% 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z))
% 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy)
% 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z))
% 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy)
% 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z))
% 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy)
% 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z))
% 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy)
% 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z))
% 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy)
% 1.52/1.94 Found e:((_TPTP_eq ((pf x) z)) ((pf y) z))
% 1.52/1.94 Instantiate: Xx:=((pf x) z):frac;Xy:=((pf y) z):frac
% 1.52/1.94 Found e as proof of ((_TPTP_eq Xx) Xy)
% 1.52/1.94 Found satz62a0000:=(satz62a000 z):((moref ((pf x) z)) ((pf y) z))
% 1.52/1.94 Found (satz62a000 z) as proof of ((moref Xx) Xy)
% 1.52/1.94 Found ((fun (Xz:frac)=> ((satz62a00 Xz) x00)) z) as proof of ((moref Xx) Xy)
% 1.52/1.94 Found ((fun (Xz:frac)=> (((satz62a0 y) Xz) x00)) z) as proof of ((moref Xx) Xy)
% 1.52/1.94 Found ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z) as proof of ((moref Xx) Xy)
% 1.52/1.94 Found ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z) as proof of ((moref Xx) Xy)
% 1.52/1.94 Found ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)) as proof of False
% 1.52/1.94 Found (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z))) as proof of False
% 1.52/1.94 Found (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z))) as proof of (((moref x) y)->False)
% 1.52/1.94 Found ((satz41a00 x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))) as proof of ((lessf x) y)
% 1.52/1.94 Found (((satz41a0 y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))) as proof of ((lessf x) y)
% 1.52/1.94 Found ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))) as proof of ((lessf x) y)
% 1.52/1.94 Found ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))) as proof of ((lessf x) y)
% 1.52/1.94 Found (satz62c000 ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z))))) as proof of ((lessf Xx) Xy)
% 1.52/1.94 Found ((satz62c00 z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z))))) as proof of ((lessf Xx) Xy)
% 1.52/1.94 Found (((satz62c0 y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z))))) as proof of ((lessf Xx) Xy)
% 1.52/1.94 Found ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z))))) as proof of ((lessf Xx) Xy)
% 1.52/1.94 Found ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z))))) as proof of ((lessf Xx) Xy)
% 1.52/1.95 Found ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e) as proof of False
% 1.52/1.95 Found (fun (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)) as proof of False
% 1.52/1.95 Found (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)) as proof of ((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False)
% 1.52/1.95 Found (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)) as proof of ((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))
% 1.52/1.95 Found (x2 (fun (x3:(((moref Xx) Xy)->(((lessf Xx) Xy)->False))) (x4:(((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))) as proof of False
% 1.52/1.95 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)))) as proof of False
% 1.52/1.95 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)))) as proof of ((((((moref Xx) Xy)->(((lessf Xx) Xy)->False))->((((lessf Xx) Xy)->(((_TPTP_eq Xx) Xy)->False))->False))->False)->False)
% 1.52/1.95 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)))) 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))
% 1.52/1.95 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))))) as proof of False
% 1.52/1.95 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))))) as proof of False
% 1.52/1.95 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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))))) as proof of False
% 1.52/1.95 Found (fun (x0:(((_TPTP_eq x) y)->False))=> (((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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)))))) as proof of False
% 1.52/1.95 Found (fun (x0:(((_TPTP_eq x) y)->False))=> (((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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)))))) as proof of ((((_TPTP_eq x) y)->False)->False)
% 1.52/1.95 Found (et0 (fun (x0:(((_TPTP_eq x) y)->False))=> (((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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))))))) as proof of ((_TPTP_eq x) y)
% 1.52/1.95 Found ((et ((_TPTP_eq x) y)) (fun (x0:(((_TPTP_eq x) y)->False))=> (((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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))))))) as proof of ((_TPTP_eq x) y)
% 1.52/1.95 Found ((et ((_TPTP_eq x) y)) (fun (x0:(((_TPTP_eq x) y)->False))=> (((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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e))))))) as proof of ((_TPTP_eq x) y)
% 1.52/1.97 Got proof ((et ((_TPTP_eq x) y)) (fun (x0:(((_TPTP_eq x) y)->False))=> (((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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)))))))
% 1.52/1.97 Time elapsed = 1.172756s
% 1.52/1.97 node=324 cost=1331.000000 depth=32
% 1.52/1.97::::::::::::::::::::::
% 1.52/1.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.97 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.97 ((et ((_TPTP_eq x) y)) (fun (x0:(((_TPTP_eq x) y)->False))=> (((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)))=> ((x4 ((((satz62c x) y) z) ((((satz41a x) y) x0) (fun (x00:((moref x) y))=> ((x1 e) ((fun (Xz:frac)=> ((((satz62a x) y) Xz) x00)) z)))))) e)))))))
% 1.52/1.97 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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