TSTP Solution File: KRS093+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS093+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 13:27:01 EDT 2009

% Result   : Unsatisfiable 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   7 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   28 (  14   ~;  12   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    9 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_6,plain,
    ! [A] :
      ( ~ ce3(A)
      | cc(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),
    [] ).

cnf(159557080,plain,
    ( ~ ce3(A)
    | cc(A) ),
    inference(rewrite,[status(thm)],[axiom_6]),
    [] ).

fof(axiom_2,plain,
    ! [A] :
      ( ( ce3(A)
        | ~ cunsatisfiable(A) )
      & ( cf(A)
        | ~ cunsatisfiable(A) )
      & ( cunsatisfiable(A)
        | ~ cf(A)
        | ~ ce3(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),
    [] ).

cnf(159527848,plain,
    ( ce3(A)
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

fof(axiom_8,plain,
    cunsatisfiable(i2003_11_14_17_20_07201),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),
    [] ).

cnf(159572088,plain,
    cunsatisfiable(i2003_11_14_17_20_07201),
    inference(rewrite,[status(thm)],[axiom_8]),
    [] ).

cnf(164770176,plain,
    ce3(i2003_11_14_17_20_07201),
    inference(resolution,[status(thm)],[159527848,159572088]),
    [] ).

cnf(164793104,plain,
    cc(i2003_11_14_17_20_07201),
    inference(resolution,[status(thm)],[159557080,164770176]),
    [] ).

fof(axiom_3,plain,
    ! [A] :
      ( ~ cc(A)
      | ~ cd(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),
    [] ).

cnf(159534480,plain,
    ( ~ cc(A)
    | ~ cd(A) ),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

fof(axiom_7,plain,
    ! [A] :
      ( ~ cf(A)
      | cd(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),
    [] ).

cnf(159563792,plain,
    ( ~ cf(A)
    | cd(A) ),
    inference(rewrite,[status(thm)],[axiom_7]),
    [] ).

cnf(159521184,plain,
    ( cf(A)
    | ~ cunsatisfiable(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(164761992,plain,
    cf(i2003_11_14_17_20_07201),
    inference(resolution,[status(thm)],[159521184,159572088]),
    [] ).

cnf(164779208,plain,
    cd(i2003_11_14_17_20_07201),
    inference(resolution,[status(thm)],[159563792,164761992]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[164793104,159534480,164779208]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_6,plain,(~ce3(A)|cc(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),[]).
% 
% cnf(159557080,plain,(~ce3(A)|cc(A)),inference(rewrite,[status(thm)],[axiom_6]),[]).
% 
% fof(axiom_2,plain,(((ce3(A)|~cunsatisfiable(A))&(cf(A)|~cunsatisfiable(A))&(cunsatisfiable(A)|~cf(A)|~ce3(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),[]).
% 
% cnf(159527848,plain,(ce3(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% fof(axiom_8,plain,(cunsatisfiable(i2003_11_14_17_20_07201)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),[]).
% 
% cnf(159572088,plain,(cunsatisfiable(i2003_11_14_17_20_07201)),inference(rewrite,[status(thm)],[axiom_8]),[]).
% 
% cnf(164770176,plain,(ce3(i2003_11_14_17_20_07201)),inference(resolution,[status(thm)],[159527848,159572088]),[]).
% 
% cnf(164793104,plain,(cc(i2003_11_14_17_20_07201)),inference(resolution,[status(thm)],[159557080,164770176]),[]).
% 
% fof(axiom_3,plain,(~cc(A)|~cd(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),[]).
% 
% cnf(159534480,plain,(~cc(A)|~cd(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% fof(axiom_7,plain,(~cf(A)|cd(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),[]).
% 
% cnf(159563792,plain,(~cf(A)|cd(A)),inference(rewrite,[status(thm)],[axiom_7]),[]).
% 
% cnf(159521184,plain,(cf(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(164761992,plain,(cf(i2003_11_14_17_20_07201)),inference(resolution,[status(thm)],[159521184,159572088]),[]).
% 
% cnf(164779208,plain,(cd(i2003_11_14_17_20_07201)),inference(resolution,[status(thm)],[159563792,164761992]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[164793104,159534480,164779208]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------