TSTP Solution File: NUM655^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM655^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n084.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 13:11:19 EST 2018
% Result : Theorem 1.43s
% Output : Proof 1.43s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM655^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.23 % Computer : n084.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 11:40:45 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.27 Python 2.7.13
% 1.43/1.82 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 1.43/1.82 FOF formula (<kernel.Constant object at 0x2b443357da28>, <kernel.Type object at 0x2b443357dc68>) of role type named nat_type
% 1.43/1.82 Using role type
% 1.43/1.82 Declaring nat:Type
% 1.43/1.82 FOF formula (<kernel.Constant object at 0x2b44332929e0>, <kernel.Constant object at 0x2b443357dea8>) of role type named x
% 1.43/1.82 Using role type
% 1.43/1.82 Declaring x:nat
% 1.43/1.82 FOF formula (<kernel.Constant object at 0x2b443357da70>, <kernel.Constant object at 0x2b443357dea8>) of role type named y
% 1.43/1.82 Using role type
% 1.43/1.82 Declaring y:nat
% 1.43/1.82 FOF formula (<kernel.Constant object at 0x2b443357da28>, <kernel.DependentProduct object at 0x2b443357de18>) of role type named less
% 1.43/1.82 Using role type
% 1.43/1.82 Declaring less:(nat->(nat->Prop))
% 1.43/1.82 FOF formula (((less x) y)->False) of role axiom named n
% 1.43/1.82 A new axiom: (((less x) y)->False)
% 1.43/1.82 FOF formula (<kernel.Constant object at 0x2b443357dab8>, <kernel.DependentProduct object at 0x2b443357dcf8>) of role type named more
% 1.43/1.82 Using role type
% 1.43/1.82 Declaring more:(nat->(nat->Prop))
% 1.43/1.82 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et
% 1.43/1.82 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa))
% 1.43/1.82 FOF formula (forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->((((more Xx) Xy)->False)->((less Xx) Xy)))) of role axiom named satz10a
% 1.43/1.82 A new axiom: (forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->((((more Xx) Xy)->False)->((less Xx) Xy))))
% 1.43/1.82 FOF formula ((((more x) y)->False)->(((eq nat) x) y)) of role conjecture named satz10f
% 1.43/1.82 Conjecture to prove = ((((more x) y)->False)->(((eq nat) x) y)):Prop
% 1.43/1.82 We need to prove ['((((more x) y)->False)->(((eq nat) x) y))']
% 1.43/1.82 Parameter nat:Type.
% 1.43/1.82 Parameter x:nat.
% 1.43/1.82 Parameter y:nat.
% 1.43/1.82 Parameter less:(nat->(nat->Prop)).
% 1.43/1.82 Axiom n:(((less x) y)->False).
% 1.43/1.82 Parameter more:(nat->(nat->Prop)).
% 1.43/1.82 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)).
% 1.43/1.82 Axiom satz10a:(forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->((((more Xx) Xy)->False)->((less Xx) Xy)))).
% 1.43/1.82 Trying to prove ((((more x) y)->False)->(((eq nat) x) y))
% 1.43/1.82 Found satz10a0000:=(satz10a000 x0):((less x) y)
% 1.43/1.82 Found (satz10a000 x0) as proof of ((less x) y)
% 1.43/1.82 Found ((satz10a00 x00) x0) as proof of ((less x) y)
% 1.43/1.82 Found (((satz10a0 y) x00) x0) as proof of ((less x) y)
% 1.43/1.82 Found ((((satz10a x) y) x00) x0) as proof of ((less x) y)
% 1.43/1.82 Found ((((satz10a x) y) x00) x0) as proof of ((less x) y)
% 1.43/1.82 Found (n ((((satz10a x) y) x00) x0)) as proof of False
% 1.43/1.82 Found (fun (x00:((((eq nat) x) y)->False))=> (n ((((satz10a x) y) x00) x0))) as proof of False
% 1.43/1.82 Found (fun (x00:((((eq nat) x) y)->False))=> (n ((((satz10a x) y) x00) x0))) as proof of (((((eq nat) x) y)->False)->False)
% 1.43/1.82 Found (et0 (fun (x00:((((eq nat) x) y)->False))=> (n ((((satz10a x) y) x00) x0)))) as proof of (((eq nat) x) y)
% 1.43/1.82 Found ((et (((eq nat) x) y)) (fun (x00:((((eq nat) x) y)->False))=> (n ((((satz10a x) y) x00) x0)))) as proof of (((eq nat) x) y)
% 1.43/1.82 Found (fun (x0:(((more x) y)->False))=> ((et (((eq nat) x) y)) (fun (x00:((((eq nat) x) y)->False))=> (n ((((satz10a x) y) x00) x0))))) as proof of (((eq nat) x) y)
% 1.43/1.82 Found (fun (x0:(((more x) y)->False))=> ((et (((eq nat) x) y)) (fun (x00:((((eq nat) x) y)->False))=> (n ((((satz10a x) y) x00) x0))))) as proof of ((((more x) y)->False)->(((eq nat) x) y))
% 1.43/1.82 Got proof (fun (x0:(((more x) y)->False))=> ((et (((eq nat) x) y)) (fun (x00:((((eq nat) x) y)->False))=> (n ((((satz10a x) y) x00) x0)))))
% 1.43/1.82 Time elapsed = 1.091826s
% 1.43/1.82 node=209 cost=165.000000 depth=11
% 1.43/1.82::::::::::::::::::::::
% 1.43/1.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.43/1.82 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.43/1.82 (fun (x0:(((more x) y)->False))=> ((et (((eq nat) x) y)) (fun (x00:((((eq nat) x) y)->False))=> (n ((((satz10a x) y) x00) x0)))))
% 1.43/1.82 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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