TSTP Solution File: KRS004-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS004-1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art07.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 13:24:33 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    4 (   1 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_1,plain,
    c(exist),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS004-1.tptp',unknown),
    [] ).

cnf(142858736,plain,
    c(exist),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

fof(clause_3,plain,
    ! [A] :
      ( ~ c(A)
      | ~ d(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS004-1.tptp',unknown),
    [] ).

fof(clause_2,plain,
    ! [A] :
      ( d(A)
      | ~ c(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS004-1.tptp',unknown),
    [] ).

cnf(142865072,plain,
    ( d(A)
    | ~ c(A) ),
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

cnf(142869840,plain,
    ~ c(A),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause_3,142865072]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[142858736,142869840]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_1,plain,(c(exist)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS004-1.tptp',unknown),[]).
% 
% cnf(142858736,plain,(c(exist)),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% fof(clause_3,plain,(~c(A)|~d(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS004-1.tptp',unknown),[]).
% 
% fof(clause_2,plain,(d(A)|~c(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS004-1.tptp',unknown),[]).
% 
% cnf(142865072,plain,(d(A)|~c(A)),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% cnf(142869840,plain,(~c(A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause_3,142865072]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[142858736,142869840]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------