TSTP Solution File: HWV025-2 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : HWV025-2 : TPTP v3.4.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 13:19:03 EDT 2009

% Result   : Unsatisfiable 0.8s
% Output   : Refutation 0.8s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   31 (  12   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_54,plain,
    ! [A] :
      ( ~ p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(A))
      | p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))
      | p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))
      | p__pred_(fwork_dotfifo_dotrtl_dotwr_(A))
      | p__pred_(fwork_dotfifo_dotrtl_dotreset_(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV025-2.tptp',unknown),
    [] ).

cnf(143703232,plain,
    ( ~ p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(A))
    | p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))
    | p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))
    | p__pred_(fwork_dotfifo_dotrtl_dotwr_(A))
    | p__pred_(fwork_dotfifo_dotrtl_dotreset_(A)) ),
    inference(rewrite,[status(thm)],[axiom_54]),
    [] ).

fof(quest_4,plain,
    p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(t_206)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV025-2.tptp',unknown),
    [] ).

cnf(144707864,plain,
    p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(t_206)),
    inference(rewrite,[status(thm)],[quest_4]),
    [] ).

cnf(174587776,plain,
    ( p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(t_206,n1)))
    | p__pred_(fwork_dotfifo_dotrtl_dotrd_(t_206))
    | p__pred_(fwork_dotfifo_dotrtl_dotwr_(t_206))
    | p__pred_(fwork_dotfifo_dotrtl_dotreset_(t_206)) ),
    inference(resolution,[status(thm)],[143703232,144707864]),
    [] ).

fof(quest_3,plain,
    ~ p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(t_206,n1))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV025-2.tptp',unknown),
    [] ).

cnf(144702656,plain,
    ~ p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(t_206,n1))),
    inference(rewrite,[status(thm)],[quest_3]),
    [] ).

fof(quest_1,plain,
    ~ p__pred_(fwork_dotfifo_dotrtl_dotrd_(t_206)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV025-2.tptp',unknown),
    [] ).

cnf(144689512,plain,
    ~ p__pred_(fwork_dotfifo_dotrtl_dotrd_(t_206)),
    inference(rewrite,[status(thm)],[quest_1]),
    [] ).

fof(quest_2,plain,
    ~ p__pred_(fwork_dotfifo_dotrtl_dotreset_(t_206)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV025-2.tptp',unknown),
    [] ).

cnf(144694448,plain,
    ~ p__pred_(fwork_dotfifo_dotrtl_dotreset_(t_206)),
    inference(rewrite,[status(thm)],[quest_2]),
    [] ).

fof(axiom_28,plain,
    ! [A] :
      ( ~ p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(A))
      | p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))
      | p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))
      | ~ p__pred_(fwork_dotfifo_dotrtl_dotwr_(A))
      | p__pred_(fwork_dotfifo_dotrtl_dotreset_(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV025-2.tptp',unknown),
    [] ).

cnf(143402128,plain,
    ( ~ p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(A))
    | p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))
    | p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))
    | ~ p__pred_(fwork_dotfifo_dotrtl_dotwr_(A))
    | p__pred_(fwork_dotfifo_dotrtl_dotreset_(A)) ),
    inference(rewrite,[status(thm)],[axiom_28]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[174587776,144702656,144689512,144694448,143402128,144707864]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_54,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(A))|p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))|p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))|p__pred_(fwork_dotfifo_dotrtl_dotwr_(A))|p__pred_(fwork_dotfifo_dotrtl_dotreset_(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV025-2.tptp',unknown),[]).
% 
% cnf(143703232,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(A))|p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))|p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))|p__pred_(fwork_dotfifo_dotrtl_dotwr_(A))|p__pred_(fwork_dotfifo_dotrtl_dotreset_(A))),inference(rewrite,[status(thm)],[axiom_54]),[]).
% 
% fof(quest_4,plain,(p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(t_206))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV025-2.tptp',unknown),[]).
% 
% cnf(144707864,plain,(p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(t_206))),inference(rewrite,[status(thm)],[quest_4]),[]).
% 
% cnf(174587776,plain,(p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(t_206,n1)))|p__pred_(fwork_dotfifo_dotrtl_dotrd_(t_206))|p__pred_(fwork_dotfifo_dotrtl_dotwr_(t_206))|p__pred_(fwork_dotfifo_dotrtl_dotreset_(t_206))),inference(resolution,[status(thm)],[143703232,144707864]),[]).
% 
% fof(quest_3,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(t_206,n1)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV025-2.tptp',unknown),[]).
% 
% cnf(144702656,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(t_206,n1)))),inference(rewrite,[status(thm)],[quest_3]),[]).
% 
% fof(quest_1,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotrd_(t_206))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV025-2.tptp',unknown),[]).
% 
% cnf(144689512,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotrd_(t_206))),inference(rewrite,[status(thm)],[quest_1]),[]).
% 
% fof(quest_2,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotreset_(t_206))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV025-2.tptp',unknown),[]).
% 
% cnf(144694448,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotreset_(t_206))),inference(rewrite,[status(thm)],[quest_2]),[]).
% 
% fof(axiom_28,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(A))|p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))|p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))|~p__pred_(fwork_dotfifo_dotrtl_dotwr_(A))|p__pred_(fwork_dotfifo_dotrtl_dotreset_(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV025-2.tptp',unknown),[]).
% 
% cnf(143402128,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(A))|p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))|p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))|~p__pred_(fwork_dotfifo_dotrtl_dotwr_(A))|p__pred_(fwork_dotfifo_dotrtl_dotreset_(A))),inference(rewrite,[status(thm)],[axiom_28]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[174587776,144702656,144689512,144694448,143402128,144707864]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------