TSTP Solution File: NUM654^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM654^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n106.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 13:11:18 EST 2018
% Result : Theorem 1.42s
% Output : Proof 1.42s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM654^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.23 % Computer : n106.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 11:39:14 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.24 Python 2.7.13
% 1.42/1.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 1.42/1.63 FOF formula (<kernel.Constant object at 0x2b759f036a70>, <kernel.Type object at 0x2b759f0369e0>) of role type named nat_type
% 1.42/1.63 Using role type
% 1.42/1.63 Declaring nat:Type
% 1.42/1.63 FOF formula (<kernel.Constant object at 0x2b759e99ec68>, <kernel.Constant object at 0x2b759f036050>) of role type named x
% 1.42/1.63 Using role type
% 1.42/1.63 Declaring x:nat
% 1.42/1.63 FOF formula (<kernel.Constant object at 0x2b759e99ec68>, <kernel.Constant object at 0x2b759f036050>) of role type named y
% 1.42/1.63 Using role type
% 1.42/1.63 Declaring y:nat
% 1.42/1.63 FOF formula (<kernel.Constant object at 0x2b759f036a70>, <kernel.DependentProduct object at 0x2b759e913d40>) of role type named more
% 1.42/1.63 Using role type
% 1.42/1.63 Declaring more:(nat->(nat->Prop))
% 1.42/1.63 FOF formula (((more x) y)->False) of role axiom named n
% 1.42/1.63 A new axiom: (((more x) y)->False)
% 1.42/1.63 FOF formula (<kernel.Constant object at 0x2b759f0364d0>, <kernel.DependentProduct object at 0x2b759e913320>) of role type named less
% 1.42/1.63 Using role type
% 1.42/1.63 Declaring less:(nat->(nat->Prop))
% 1.42/1.63 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et
% 1.42/1.63 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa))
% 1.42/1.63 FOF formula (forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->((((more Xx) Xy)->False)->((less Xx) Xy)))) of role axiom named satz10a
% 1.42/1.63 A new axiom: (forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->((((more Xx) Xy)->False)->((less Xx) Xy))))
% 1.42/1.63 FOF formula ((((less x) y)->False)->(((eq nat) x) y)) of role conjecture named satz10e
% 1.42/1.63 Conjecture to prove = ((((less x) y)->False)->(((eq nat) x) y)):Prop
% 1.42/1.63 We need to prove ['((((less x) y)->False)->(((eq nat) x) y))']
% 1.42/1.63 Parameter nat:Type.
% 1.42/1.63 Parameter x:nat.
% 1.42/1.63 Parameter y:nat.
% 1.42/1.63 Parameter more:(nat->(nat->Prop)).
% 1.42/1.63 Axiom n:(((more x) y)->False).
% 1.42/1.63 Parameter less:(nat->(nat->Prop)).
% 1.42/1.63 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)).
% 1.42/1.63 Axiom satz10a:(forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->((((more Xx) Xy)->False)->((less Xx) Xy)))).
% 1.42/1.63 Trying to prove ((((less x) y)->False)->(((eq nat) x) y))
% 1.42/1.63 Found satz10a0000:=(satz10a000 n):((less x) y)
% 1.42/1.63 Found (satz10a000 n) as proof of ((less x) y)
% 1.42/1.63 Found ((satz10a00 x00) n) as proof of ((less x) y)
% 1.42/1.63 Found (((satz10a0 y) x00) n) as proof of ((less x) y)
% 1.42/1.63 Found ((((satz10a x) y) x00) n) as proof of ((less x) y)
% 1.42/1.63 Found ((((satz10a x) y) x00) n) as proof of ((less x) y)
% 1.42/1.63 Found (x0 ((((satz10a x) y) x00) n)) as proof of False
% 1.42/1.63 Found (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n))) as proof of False
% 1.42/1.63 Found (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n))) as proof of (((((eq nat) x) y)->False)->False)
% 1.42/1.63 Found (et0 (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n)))) as proof of (((eq nat) x) y)
% 1.42/1.63 Found ((et (((eq nat) x) y)) (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n)))) as proof of (((eq nat) x) y)
% 1.42/1.63 Found (fun (x0:(((less x) y)->False))=> ((et (((eq nat) x) y)) (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n))))) as proof of (((eq nat) x) y)
% 1.42/1.63 Found (fun (x0:(((less x) y)->False))=> ((et (((eq nat) x) y)) (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n))))) as proof of ((((less x) y)->False)->(((eq nat) x) y))
% 1.42/1.63 Got proof (fun (x0:(((less x) y)->False))=> ((et (((eq nat) x) y)) (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n)))))
% 1.42/1.63 Time elapsed = 1.095243s
% 1.42/1.63 node=202 cost=165.000000 depth=11
% 1.42/1.63::::::::::::::::::::::
% 1.42/1.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.42/1.63 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.42/1.63 (fun (x0:(((less x) y)->False))=> ((et (((eq nat) x) y)) (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n)))))
% 1.42/1.63 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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