TSTP Solution File: SEV428^1 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEV428^1 : TPTP v6.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n113.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.20.3.el6.x86_64
% CPULimit : 300s
% DateTime : Thu Jul 17 13:34:11 EDT 2014

% Result   : Unknown 25.74s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SEV428^1 : TPTP v6.1.0. Released v5.2.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n113.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.20.3.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jul 17 09:12:41 CDT 2014
% % CPUTime  : 25.74 
% Python 2.7.5
% Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% FOF formula (<kernel.Constant object at 0x9b3710>, <kernel.DependentProduct object at 0xd8f1b8>) of role type named eps
% Using role type
% Declaring eps:((fofType->Prop)->fofType)
% FOF formula (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))) of role axiom named choiceax
% A new axiom: (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P))))
% FOF formula (<kernel.Constant object at 0x9b3950>, <kernel.DependentProduct object at 0xd8f2d8>) of role type named epsio
% Using role type
% Declaring epsio:(((fofType->Prop)->Prop)->(fofType->Prop))
% FOF formula (forall (P:((fofType->Prop)->Prop)), (((ex (fofType->Prop)) (fun (X:(fofType->Prop))=> (P X)))->(P (epsio P)))) of role axiom named choiceaxio
% A new axiom: (forall (P:((fofType->Prop)->Prop)), (((ex (fofType->Prop)) (fun (X:(fofType->Prop))=> (P X)))->(P (epsio P))))
% FOF formula (<kernel.Constant object at 0x9b3950>, <kernel.DependentProduct object at 0xd8fd40>) of role type named setunion
% Using role type
% Declaring setunion:(((fofType->Prop)->Prop)->(fofType->Prop))
% FOF formula (((eq (((fofType->Prop)->Prop)->(fofType->Prop))) setunion) (fun (C:((fofType->Prop)->Prop)) (X:fofType)=> ((ex (fofType->Prop)) (fun (Y:(fofType->Prop))=> ((and (C Y)) (Y X)))))) of role definition named setuniond
% A new definition: (((eq (((fofType->Prop)->Prop)->(fofType->Prop))) setunion) (fun (C:((fofType->Prop)->Prop)) (X:fofType)=> ((ex (fofType->Prop)) (fun (Y:(fofType->Prop))=> ((and (C Y)) (Y X))))))
% Defined: setunion:=(fun (C:((fofType->Prop)->Prop)) (X:fofType)=> ((ex (fofType->Prop)) (fun (Y:(fofType->Prop))=> ((and (C Y)) (Y X)))))
% FOF formula (<kernel.Constant object at 0x9b38c0>, <kernel.DependentProduct object at 0xd8f7e8>) of role type named choosenonempty
% Using role type
% Declaring choosenonempty:(((fofType->Prop)->Prop)->(fofType->Prop))
% FOF formula (((eq (((fofType->Prop)->Prop)->(fofType->Prop))) choosenonempty) (fun (C:((fofType->Prop)->Prop))=> (epsio (fun (Y:(fofType->Prop))=> ((and (C Y)) (Y (eps Y))))))) of role definition named choosenonemptyd
% A new definition: (((eq (((fofType->Prop)->Prop)->(fofType->Prop))) choosenonempty) (fun (C:((fofType->Prop)->Prop))=> (epsio (fun (Y:(fofType->Prop))=> ((and (C Y)) (Y (eps Y)))))))
% Defined: choosenonempty:=(fun (C:((fofType->Prop)->Prop))=> (epsio (fun (Y:(fofType->Prop))=> ((and (C Y)) (Y (eps Y))))))
% FOF formula (<kernel.Constant object at 0x9b38c0>, <kernel.DependentProduct object at 0xd8f128>) of role type named c
% Using role type
% Declaring c:((fofType->Prop)->Prop)
% FOF formula (<kernel.Constant object at 0x9b3320>, <kernel.Single object at 0xd8f7e8>) of role type named a
% Using role type
% Declaring a:fofType
% FOF formula ((setunion c) a) of role axiom named ca
% A new axiom: ((setunion c) a)
% FOF formula ((and (c (choosenonempty c))) ((ex fofType) (fun (X:fofType)=> ((choosenonempty c) X)))) of role conjecture named conj
% Conjecture to prove = ((and (c (choosenonempty c))) ((ex fofType) (fun (X:fofType)=> ((choosenonempty c) X)))):Prop
% We need to prove ['((and (c (choosenonempty c))) ((ex fofType) (fun (X:fofType)=> ((choosenonempty c) X))))']
% Parameter fofType:Type.
% Parameter eps:((fofType->Prop)->fofType).
% Axiom choiceax:(forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))).
% Parameter epsio:(((fofType->Prop)->Prop)->(fofType->Prop)).
% Axiom choiceaxio:(forall (P:((fofType->Prop)->Prop)), (((ex (fofType->Prop)) (fun (X:(fofType->Prop))=> (P X)))->(P (epsio P)))).
% Definition setunion:=(fun (C:((fofType->Prop)->Prop)) (X:fofType)=> ((ex (fofType->Prop)) (fun (Y:(fofType->Prop))=> ((and (C Y)) (Y X))))):(((fofType->Prop)->Prop)->(fofType->Prop)).
% Definition choosenonempty:=(fun (C:((fofType->Prop)->Prop))=> (epsio (fun (Y:(fofType->Prop))=> ((and (C Y)) (Y (eps Y)))))):(((fofType->Prop)->Prop)->(fofType->Prop)).
% Parameter c:((fofType->Prop)->Prop).
% Parameter a:fofType.
% Axiom ca:((setunion c) a).
% Trying to prove ((and (c (choosenonempty c))) ((ex fofType) (fun (X:fofType)=> ((choosenonempty c) X))))
% % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------