TSTP Solution File: NUM769^1 by cocATP---0.2.0

View Problem - Process Solution

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% File     : cocATP---0.2.0
% Problem  : NUM769^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n149.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 13:11:42 EST 2018

% Result   : Theorem 0.38s
% Output   : Proof 0.38s
% 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
% 0.00/0.04  % Problem  : NUM769^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.05  % Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.24  % Computer : n149.star.cs.uiowa.edu
% 0.02/0.24  % Model    : x86_64 x86_64
% 0.02/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24  % Memory   : 32218.625MB
% 0.02/0.24  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.24  % CPULimit : 300
% 0.02/0.24  % DateTime : Fri Jan  5 14:04:33 CST 2018
% 0.02/0.24  % CPUTime  : 
% 0.07/0.25  Python 2.7.13
% 0.38/0.57  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2ac3117d7c68>, <kernel.Type object at 0x2ac3117d7ea8>) of role type named frac_type
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring frac:Type
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2ac3118b9f38>, <kernel.Constant object at 0x2ac3117d7bd8>) of role type named x
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring x:frac
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2ac3117d7638>, <kernel.Constant object at 0x2ac3117d7bd8>) of role type named y
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring y:frac
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2ac3117d7c68>, <kernel.DependentProduct object at 0x2ac3118b65f0>) of role type named moref
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring moref:(frac->(frac->Prop))
% 0.38/0.57  FOF formula ((moref x) y) of role axiom named m
% 0.38/0.57  A new axiom: ((moref x) y)
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2ac3117d7e18>, <kernel.DependentProduct object at 0x2ac3118b6998>) of role type named eq
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring _TPTP_eq:(frac->(frac->Prop))
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2ac3117d75a8>, <kernel.DependentProduct object at 0x2ac3118b6170>) of role type named pf
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring pf:(frac->(frac->frac))
% 0.38/0.57  FOF formula (<kernel.Constant object at 0x2ac3117d7c68>, <kernel.DependentProduct object at 0x2ac3118b6e18>) of role type named mf
% 0.38/0.57  Using role type
% 0.38/0.57  Declaring mf:(frac->(frac->frac))
% 0.38/0.57  FOF formula (forall (Xx:frac) (Xy:frac), (((_TPTP_eq Xx) Xy)->((_TPTP_eq Xy) Xx))) of role axiom named satz38
% 0.38/0.57  A new axiom: (forall (Xx:frac) (Xy:frac), (((_TPTP_eq Xx) Xy)->((_TPTP_eq Xy) Xx)))
% 0.38/0.57  FOF formula (forall (Xx:frac) (Xy:frac), (((moref Xx) Xy)->((_TPTP_eq ((pf Xy) ((mf Xx) Xy))) Xx))) of role axiom named satz67c
% 0.38/0.57  A new axiom: (forall (Xx:frac) (Xy:frac), (((moref Xx) Xy)->((_TPTP_eq ((pf Xy) ((mf Xx) Xy))) Xx)))
% 0.38/0.57  FOF formula ((_TPTP_eq x) ((pf y) ((mf x) y))) of role conjecture named satz67d
% 0.38/0.57  Conjecture to prove = ((_TPTP_eq x) ((pf y) ((mf x) y))):Prop
% 0.38/0.57  We need to prove ['((_TPTP_eq x) ((pf y) ((mf x) y)))']
% 0.38/0.57  Parameter frac:Type.
% 0.38/0.57  Parameter x:frac.
% 0.38/0.57  Parameter y:frac.
% 0.38/0.57  Parameter moref:(frac->(frac->Prop)).
% 0.38/0.57  Axiom m:((moref x) y).
% 0.38/0.57  Parameter _TPTP_eq:(frac->(frac->Prop)).
% 0.38/0.57  Parameter pf:(frac->(frac->frac)).
% 0.38/0.57  Parameter mf:(frac->(frac->frac)).
% 0.38/0.57  Axiom satz38:(forall (Xx:frac) (Xy:frac), (((_TPTP_eq Xx) Xy)->((_TPTP_eq Xy) Xx))).
% 0.38/0.57  Axiom satz67c:(forall (Xx:frac) (Xy:frac), (((moref Xx) Xy)->((_TPTP_eq ((pf Xy) ((mf Xx) Xy))) Xx))).
% 0.38/0.57  Trying to prove ((_TPTP_eq x) ((pf y) ((mf x) y)))
% 0.38/0.57  Found m:((moref x) y)
% 0.38/0.57  Found m as proof of ((moref x) y)
% 0.38/0.57  Found (satz67c00 m) as proof of ((_TPTP_eq ((pf y) ((mf x) y))) x)
% 0.38/0.57  Found ((satz67c0 y) m) as proof of ((_TPTP_eq ((pf y) ((mf x) y))) x)
% 0.38/0.57  Found (((satz67c x) y) m) as proof of ((_TPTP_eq ((pf y) ((mf x) y))) x)
% 0.38/0.57  Found (((satz67c x) y) m) as proof of ((_TPTP_eq ((pf y) ((mf x) y))) x)
% 0.38/0.57  Found (satz3800 (((satz67c x) y) m)) as proof of ((_TPTP_eq x) ((pf y) ((mf x) y)))
% 0.38/0.57  Found ((satz380 x) (((satz67c x) y) m)) as proof of ((_TPTP_eq x) ((pf y) ((mf x) y)))
% 0.38/0.57  Found (((satz38 ((pf y) ((mf x) y))) x) (((satz67c x) y) m)) as proof of ((_TPTP_eq x) ((pf y) ((mf x) y)))
% 0.38/0.57  Found (((satz38 ((pf y) ((mf x) y))) x) (((satz67c x) y) m)) as proof of ((_TPTP_eq x) ((pf y) ((mf x) y)))
% 0.38/0.57  Got proof (((satz38 ((pf y) ((mf x) y))) x) (((satz67c x) y) m))
% 0.38/0.57  Time elapsed = 0.041602s
% 0.38/0.57  node=9 cost=97.000000 depth=8
% 0.38/0.57::::::::::::::::::::::
% 0.38/0.57  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.57  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.57  (((satz38 ((pf y) ((mf x) y))) x) (((satz67c x) y) m))
% 0.38/0.57  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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