TSTP Solution File: NUM692^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM692^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n099.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 13:11:27 EST 2018
% Result : Theorem 0.43s
% Output : Proof 0.43s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM692^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.05 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.24 % Computer : n099.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 12:58:49 CST 2018
% 0.03/0.24 % CPUTime :
% 0.03/0.27 Python 2.7.13
% 0.43/0.81 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.43/0.81 FOF formula (<kernel.Constant object at 0x2b8db47d8b48>, <kernel.Type object at 0x2b8db4479560>) of role type named nat_type
% 0.43/0.81 Using role type
% 0.43/0.81 Declaring nat:Type
% 0.43/0.81 FOF formula (<kernel.Constant object at 0x2b8db47d8bd8>, <kernel.Constant object at 0x2b8db4479f80>) of role type named x
% 0.43/0.81 Using role type
% 0.43/0.81 Declaring x:nat
% 0.43/0.81 FOF formula (<kernel.Constant object at 0x2b8db47d8b48>, <kernel.Constant object at 0x2b8db4479f80>) of role type named y
% 0.43/0.81 Using role type
% 0.43/0.81 Declaring y:nat
% 0.43/0.81 FOF formula (<kernel.Constant object at 0x2b8db47d8b48>, <kernel.Constant object at 0x2b8db4479f80>) of role type named z
% 0.43/0.81 Using role type
% 0.43/0.81 Declaring z:nat
% 0.43/0.81 FOF formula (<kernel.Constant object at 0x2b8db4479128>, <kernel.Constant object at 0x2b8db4479f80>) of role type named u
% 0.43/0.81 Using role type
% 0.43/0.81 Declaring u:nat
% 0.43/0.81 FOF formula (<kernel.Constant object at 0x2b8db4479680>, <kernel.DependentProduct object at 0x2b8db483eb48>) of role type named lessis
% 0.43/0.81 Using role type
% 0.43/0.81 Declaring lessis:(nat->(nat->Prop))
% 0.43/0.81 FOF formula ((lessis x) y) of role axiom named l
% 0.43/0.81 A new axiom: ((lessis x) y)
% 0.43/0.81 FOF formula ((lessis z) u) of role axiom named k
% 0.43/0.81 A new axiom: ((lessis z) u)
% 0.43/0.81 FOF formula (<kernel.Constant object at 0x2b8db4479128>, <kernel.DependentProduct object at 0x2b8db4ef8908>) of role type named ts
% 0.43/0.81 Using role type
% 0.43/0.81 Declaring ts:(nat->(nat->nat))
% 0.43/0.81 FOF formula (<kernel.Constant object at 0x2b8db4479f80>, <kernel.DependentProduct object at 0x2b8db483ec68>) of role type named moreis
% 0.43/0.81 Using role type
% 0.43/0.81 Declaring moreis:(nat->(nat->Prop))
% 0.43/0.81 FOF formula (forall (Xx:nat) (Xy:nat), (((moreis Xx) Xy)->((lessis Xy) Xx))) of role axiom named satz13
% 0.43/0.81 A new axiom: (forall (Xx:nat) (Xy:nat), (((moreis Xx) Xy)->((lessis Xy) Xx)))
% 0.43/0.81 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), (((moreis Xx) Xy)->(((moreis Xz) Xu)->((moreis ((ts Xx) Xz)) ((ts Xy) Xu))))) of role axiom named satz23
% 0.43/0.81 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), (((moreis Xx) Xy)->(((moreis Xz) Xu)->((moreis ((ts Xx) Xz)) ((ts Xy) Xu)))))
% 0.43/0.81 FOF formula (forall (Xx:nat) (Xy:nat), (((lessis Xx) Xy)->((moreis Xy) Xx))) of role axiom named satz14
% 0.43/0.81 A new axiom: (forall (Xx:nat) (Xy:nat), (((lessis Xx) Xy)->((moreis Xy) Xx)))
% 0.43/0.81 FOF formula ((lessis ((ts x) z)) ((ts y) u)) of role conjecture named satz23a
% 0.43/0.81 Conjecture to prove = ((lessis ((ts x) z)) ((ts y) u)):Prop
% 0.43/0.81 We need to prove ['((lessis ((ts x) z)) ((ts y) u))']
% 0.43/0.81 Parameter nat:Type.
% 0.43/0.81 Parameter x:nat.
% 0.43/0.81 Parameter y:nat.
% 0.43/0.81 Parameter z:nat.
% 0.43/0.81 Parameter u:nat.
% 0.43/0.81 Parameter lessis:(nat->(nat->Prop)).
% 0.43/0.81 Axiom l:((lessis x) y).
% 0.43/0.81 Axiom k:((lessis z) u).
% 0.43/0.81 Parameter ts:(nat->(nat->nat)).
% 0.43/0.81 Parameter moreis:(nat->(nat->Prop)).
% 0.43/0.81 Axiom satz13:(forall (Xx:nat) (Xy:nat), (((moreis Xx) Xy)->((lessis Xy) Xx))).
% 0.43/0.81 Axiom satz23:(forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), (((moreis Xx) Xy)->(((moreis Xz) Xu)->((moreis ((ts Xx) Xz)) ((ts Xy) Xu))))).
% 0.43/0.81 Axiom satz14:(forall (Xx:nat) (Xy:nat), (((lessis Xx) Xy)->((moreis Xy) Xx))).
% 0.43/0.81 Trying to prove ((lessis ((ts x) z)) ((ts y) u))
% 0.43/0.81 Found satz14000:=(satz1400 k):((moreis u) z)
% 0.43/0.81 Found (satz1400 k) as proof of ((moreis u) z)
% 0.43/0.81 Found ((satz140 u) k) as proof of ((moreis u) z)
% 0.43/0.81 Found (((satz14 z) u) k) as proof of ((moreis u) z)
% 0.43/0.81 Found (((satz14 z) u) k) as proof of ((moreis u) z)
% 0.43/0.81 Found satz14000:=(satz1400 l):((moreis y) x)
% 0.43/0.81 Found (satz1400 l) as proof of ((moreis y) x)
% 0.43/0.81 Found ((satz140 y) l) as proof of ((moreis y) x)
% 0.43/0.81 Found (((satz14 x) y) l) as proof of ((moreis y) x)
% 0.43/0.81 Found (((satz14 x) y) l) as proof of ((moreis y) x)
% 0.43/0.81 Found ((satz230000 (((satz14 x) y) l)) (((satz14 z) u) k)) as proof of ((moreis ((ts y) u)) ((ts x) z))
% 0.43/0.81 Found (((satz23000 z) (((satz14 x) y) l)) (((satz14 z) u) k)) as proof of ((moreis ((ts y) u)) ((ts x) z))
% 0.43/0.81 Found ((((satz2300 u) z) (((satz14 x) y) l)) (((satz14 z) u) k)) as proof of ((moreis ((ts y) u)) ((ts x) z))
% 0.43/0.81 Found (((((satz230 x) u) z) (((satz14 x) y) l)) (((satz14 z) u) k)) as proof of ((moreis ((ts y) u)) ((ts x) z))
% 0.43/0.81 Found ((((((satz23 y) x) u) z) (((satz14 x) y) l)) (((satz14 z) u) k)) as proof of ((moreis ((ts y) u)) ((ts x) z))
% 0.43/0.81 Found ((((((satz23 y) x) u) z) (((satz14 x) y) l)) (((satz14 z) u) k)) as proof of ((moreis ((ts y) u)) ((ts x) z))
% 0.43/0.81 Found (satz1300 ((((((satz23 y) x) u) z) (((satz14 x) y) l)) (((satz14 z) u) k))) as proof of ((lessis ((ts x) z)) ((ts y) u))
% 0.43/0.81 Found ((satz130 ((ts x) z)) ((((((satz23 y) x) u) z) (((satz14 x) y) l)) (((satz14 z) u) k))) as proof of ((lessis ((ts x) z)) ((ts y) u))
% 0.43/0.81 Found (((satz13 ((ts y) u)) ((ts x) z)) ((((((satz23 y) x) u) z) (((satz14 x) y) l)) (((satz14 z) u) k))) as proof of ((lessis ((ts x) z)) ((ts y) u))
% 0.43/0.81 Found (((satz13 ((ts y) u)) ((ts x) z)) ((((((satz23 y) x) u) z) (((satz14 x) y) l)) (((satz14 z) u) k))) as proof of ((lessis ((ts x) z)) ((ts y) u))
% 0.43/0.81 Got proof (((satz13 ((ts y) u)) ((ts x) z)) ((((((satz23 y) x) u) z) (((satz14 x) y) l)) (((satz14 z) u) k)))
% 0.43/0.81 Time elapsed = 0.088579s
% 0.43/0.81 node=18 cost=219.000000 depth=13
% 0.43/0.81::::::::::::::::::::::
% 0.43/0.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.81 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.81 (((satz13 ((ts y) u)) ((ts x) z)) ((((((satz23 y) x) u) z) (((satz14 x) y) l)) (((satz14 z) u) k)))
% 0.43/0.82 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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