TSTP Solution File: NUM671^1 by cocATP---0.2.0
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% File : cocATP---0.2.0
% Problem : NUM671^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n144.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 13:11:23 EST 2018
% Result : Theorem 0.39s
% Output : Proof 0.39s
% 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 : NUM671^1 : TPTP v7.0.0. Released v3.7.0.
% 0.02/0.03 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.23 % Computer : n144.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 12:14:19 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.25 Python 2.7.13
% 0.39/0.59 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.39/0.59 FOF formula (<kernel.Constant object at 0x2b41e78288c0>, <kernel.Type object at 0x2b41e78286c8>) of role type named nat_type
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring nat:Type
% 0.39/0.59 FOF formula (<kernel.Constant object at 0x2b41e7903dd0>, <kernel.Constant object at 0x2b41e78284d0>) of role type named x
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring x:nat
% 0.39/0.59 FOF formula (<kernel.Constant object at 0x2b41e7828680>, <kernel.Constant object at 0x2b41e78284d0>) of role type named y
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring y:nat
% 0.39/0.59 FOF formula (<kernel.Constant object at 0x2b41e78288c0>, <kernel.Constant object at 0x2b41e78284d0>) of role type named z
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring z:nat
% 0.39/0.59 FOF formula (((eq nat) x) y) of role axiom named i
% 0.39/0.59 A new axiom: (((eq nat) x) y)
% 0.39/0.59 FOF formula (<kernel.Constant object at 0x2b41e7828368>, <kernel.DependentProduct object at 0x2b41e78288c0>) of role type named pl
% 0.39/0.59 Using role type
% 0.39/0.59 Declaring pl:(nat->(nat->nat))
% 0.39/0.59 FOF formula (((eq nat) ((pl x) z)) ((pl y) z)) of role conjecture named satz19b
% 0.39/0.59 Conjecture to prove = (((eq nat) ((pl x) z)) ((pl y) z)):Prop
% 0.39/0.59 We need to prove ['(((eq nat) ((pl x) z)) ((pl y) z))']
% 0.39/0.59 Parameter nat:Type.
% 0.39/0.59 Parameter x:nat.
% 0.39/0.59 Parameter y:nat.
% 0.39/0.59 Parameter z:nat.
% 0.39/0.59 Axiom i:(((eq nat) x) y).
% 0.39/0.59 Parameter pl:(nat->(nat->nat)).
% 0.39/0.59 Trying to prove (((eq nat) ((pl x) z)) ((pl y) z))
% 0.39/0.59 Found i0:=(i (fun (x0:nat)=> (P ((pl x0) z)))):((P ((pl x) z))->(P ((pl y) z)))
% 0.39/0.59 Found (i (fun (x0:nat)=> (P ((pl x0) z)))) as proof of ((P ((pl x) z))->(P ((pl y) z)))
% 0.39/0.59 Found (fun (P:(nat->Prop))=> (i (fun (x0:nat)=> (P ((pl x0) z))))) as proof of ((P ((pl x) z))->(P ((pl y) z)))
% 0.39/0.59 Found (fun (P:(nat->Prop))=> (i (fun (x0:nat)=> (P ((pl x0) z))))) as proof of (((eq nat) ((pl x) z)) ((pl y) z))
% 0.39/0.59 Got proof (fun (P:(nat->Prop))=> (i (fun (x0:nat)=> (P ((pl x0) z)))))
% 0.39/0.59 Time elapsed = 0.081612s
% 0.39/0.59 node=7 cost=-87.000000 depth=2
% 0.39/0.59::::::::::::::::::::::
% 0.39/0.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.59 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.59 (fun (P:(nat->Prop))=> (i (fun (x0:nat)=> (P ((pl x0) z)))))
% 0.39/0.59 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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