TSTP Solution File: NUM701^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM701^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n095.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 13:11:30 EST 2018
% Result : Theorem 0.08s
% Output : Proof 0.08s
% 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 : NUM701^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.24 % Computer : n095.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 13:28:19 CST 2018
% 0.03/0.24 % CPUTime :
% 0.03/0.26 Python 2.7.13
% 0.08/0.58 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cd9c0f80>, <kernel.Type object at 0x2b13cd9c0950>) of role type named nat_type
% 0.08/0.58 Using role type
% 0.08/0.58 Declaring nat:Type
% 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cd9c0440>, <kernel.Constant object at 0x2b13cd9c0710>) of role type named x
% 0.08/0.58 Using role type
% 0.08/0.58 Declaring x:nat
% 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cdaa4b00>, <kernel.Constant object at 0x2b13cd9c0710>) of role type named y
% 0.08/0.58 Using role type
% 0.08/0.58 Declaring y:nat
% 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cd9c0f80>, <kernel.DependentProduct object at 0x2b13cdd8b170>) of role type named less
% 0.08/0.58 Using role type
% 0.08/0.58 Declaring less:(nat->(nat->Prop))
% 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cd9c0440>, <kernel.DependentProduct object at 0x2b13cdd8ba70>) of role type named suc
% 0.08/0.58 Using role type
% 0.08/0.58 Declaring suc:(nat->nat)
% 0.08/0.58 FOF formula ((less y) (suc x)) of role axiom named l
% 0.08/0.58 A new axiom: ((less y) (suc x))
% 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cd9c0710>, <kernel.DependentProduct object at 0x2b13cdd8bab8>) of role type named lessis
% 0.08/0.58 Using role type
% 0.08/0.58 Declaring lessis:(nat->(nat->Prop))
% 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cd9c0f80>, <kernel.DependentProduct object at 0x2b13cdd8b560>) of role type named pl
% 0.08/0.58 Using role type
% 0.08/0.58 Declaring pl:(nat->(nat->nat))
% 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cd9c0f80>, <kernel.Constant object at 0x2b13cdd8b560>) of role type named n_1
% 0.08/0.58 Using role type
% 0.08/0.58 Declaring n_1:nat
% 0.08/0.58 FOF formula (forall (Xx:nat) (Xy:nat), (((less Xy) ((pl Xx) n_1))->((lessis Xy) Xx))) of role axiom named satz26
% 0.08/0.58 A new axiom: (forall (Xx:nat) (Xy:nat), (((less Xy) ((pl Xx) n_1))->((lessis Xy) Xx)))
% 0.08/0.58 FOF formula (forall (Xx:nat), (((eq nat) (suc Xx)) ((pl Xx) n_1))) of role axiom named satz4e
% 0.08/0.58 A new axiom: (forall (Xx:nat), (((eq nat) (suc Xx)) ((pl Xx) n_1)))
% 0.08/0.58 FOF formula ((lessis y) x) of role conjecture named satz26a
% 0.08/0.58 Conjecture to prove = ((lessis y) x):Prop
% 0.08/0.58 We need to prove ['((lessis y) x)']
% 0.08/0.58 Parameter nat:Type.
% 0.08/0.58 Parameter x:nat.
% 0.08/0.58 Parameter y:nat.
% 0.08/0.58 Parameter less:(nat->(nat->Prop)).
% 0.08/0.58 Parameter suc:(nat->nat).
% 0.08/0.58 Axiom l:((less y) (suc x)).
% 0.08/0.58 Parameter lessis:(nat->(nat->Prop)).
% 0.08/0.58 Parameter pl:(nat->(nat->nat)).
% 0.08/0.58 Parameter n_1:nat.
% 0.08/0.58 Axiom satz26:(forall (Xx:nat) (Xy:nat), (((less Xy) ((pl Xx) n_1))->((lessis Xy) Xx))).
% 0.08/0.58 Axiom satz4e:(forall (Xx:nat), (((eq nat) (suc Xx)) ((pl Xx) n_1))).
% 0.08/0.58 Trying to prove ((lessis y) x)
% 0.08/0.58 Found l:((less y) (suc x))
% 0.08/0.58 Found l as proof of ((less y) (suc x))
% 0.08/0.58 Found (satz4e00 l) as proof of ((less y) ((pl x) n_1))
% 0.08/0.58 Found ((satz4e0 (less y)) l) as proof of ((less y) ((pl x) n_1))
% 0.08/0.58 Found (((satz4e x) (less y)) l) as proof of ((less y) ((pl x) n_1))
% 0.08/0.58 Found (((satz4e x) (less y)) l) as proof of ((less y) ((pl x) n_1))
% 0.08/0.58 Found (satz2600 (((satz4e x) (less y)) l)) as proof of ((lessis y) x)
% 0.08/0.58 Found ((satz260 y) (((satz4e x) (less y)) l)) as proof of ((lessis y) x)
% 0.08/0.58 Found (((satz26 x) y) (((satz4e x) (less y)) l)) as proof of ((lessis y) x)
% 0.08/0.58 Found (((satz26 x) y) (((satz4e x) (less y)) l)) as proof of ((lessis y) x)
% 0.08/0.58 Got proof (((satz26 x) y) (((satz4e x) (less y)) l))
% 0.08/0.58 Time elapsed = 0.045859s
% 0.08/0.58 node=14 cost=108.000000 depth=8
% 0.08/0.58::::::::::::::::::::::
% 0.08/0.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.58 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.58 (((satz26 x) y) (((satz4e x) (less y)) l))
% 0.08/0.58 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------