TSTP Solution File: CAT019-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : CAT019-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.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 11:30:05 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    6 (   4 unt;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    2 (   0 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(equality_to_c1_and_c2_1,plain,
    ! [A] :
      ( ~ $equal(c2,A)
      | $equal(c1,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/CAT/CAT019-1.tptp',unknown),
    [] ).

cnf(151951784,plain,
    ( ~ $equal(c2,A)
    | $equal(c1,A) ),
    inference(rewrite,[status(thm)],[equality_to_c1_and_c2_1]),
    [] ).

cnf(160822600,plain,
    $equal(c1,c2),
    inference(equality_resolution,[status(thm)],[151951784]),
    [] ).

fof(prove_c1_equals_c2,plain,
    ~ $equal(c1,c2),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/CAT/CAT019-1.tptp',unknown),
    [] ).

cnf(151962088,plain,
    ~ $equal(c1,c2),
    inference(rewrite,[status(thm)],[prove_c1_equals_c2]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[160822600,151962088]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(equality_to_c1_and_c2_1,plain,(~$equal(c2,A)|$equal(c1,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/CAT/CAT019-1.tptp',unknown),[]).
% 
% cnf(151951784,plain,(~$equal(c2,A)|$equal(c1,A)),inference(rewrite,[status(thm)],[equality_to_c1_and_c2_1]),[]).
% 
% cnf(160822600,plain,($equal(c1,c2)),inference(equality_resolution,[status(thm)],[151951784]),[]).
% 
% fof(prove_c1_equals_c2,plain,(~$equal(c1,c2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/CAT/CAT019-1.tptp',unknown),[]).
% 
% cnf(151962088,plain,(~$equal(c1,c2)),inference(rewrite,[status(thm)],[prove_c1_equals_c2]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[160822600,151962088]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------