TSTP Solution File: PUZ011-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : PUZ011-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 15:10:33 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (  11 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   21 (  12   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    7 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(indian_somalia,plain,
    borders(indian,somalia),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),
    [] ).

cnf(154288144,plain,
    borders(indian,somalia),
    inference(rewrite,[status(thm)],[indian_somalia]),
    [] ).

fof(india,plain,
    asian(india),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),
    [] ).

cnf(154341752,plain,
    asian(india),
    inference(rewrite,[status(thm)],[india]),
    [] ).

fof(indian,plain,
    ocean(indian),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),
    [] ).

cnf(154235304,plain,
    ocean(indian),
    inference(rewrite,[status(thm)],[indian]),
    [] ).

fof(prove_there_is_a_common_ocean,plain,
    ! [A,B,C] :
      ( ~ ocean(A)
      | ~ borders(A,B)
      | ~ african(B)
      | ~ borders(A,C)
      | ~ asian(C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),
    [] ).

cnf(154380536,plain,
    ( ~ ocean(A)
    | ~ borders(A,B)
    | ~ african(B)
    | ~ borders(A,C)
    | ~ asian(C) ),
    inference(rewrite,[status(thm)],[prove_there_is_a_common_ocean]),
    [] ).

fof(indian_india,plain,
    borders(indian,india),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),
    [] ).

cnf(154272064,plain,
    borders(indian,india),
    inference(rewrite,[status(thm)],[indian_india]),
    [] ).

cnf(162660904,plain,
    ( ~ borders(indian,A)
    | ~ african(A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[154341752,154235304,154380536,154272064]),
    [] ).

fof(somalia,plain,
    african(somalia),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),
    [] ).

cnf(154329632,plain,
    african(somalia),
    inference(rewrite,[status(thm)],[somalia]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[154288144,162660904,154329632]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(indian_somalia,plain,(borders(indian,somalia)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),[]).
% 
% cnf(154288144,plain,(borders(indian,somalia)),inference(rewrite,[status(thm)],[indian_somalia]),[]).
% 
% fof(india,plain,(asian(india)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),[]).
% 
% cnf(154341752,plain,(asian(india)),inference(rewrite,[status(thm)],[india]),[]).
% 
% fof(indian,plain,(ocean(indian)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),[]).
% 
% cnf(154235304,plain,(ocean(indian)),inference(rewrite,[status(thm)],[indian]),[]).
% 
% fof(prove_there_is_a_common_ocean,plain,(~ocean(A)|~borders(A,B)|~african(B)|~borders(A,C)|~asian(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),[]).
% 
% cnf(154380536,plain,(~ocean(A)|~borders(A,B)|~african(B)|~borders(A,C)|~asian(C)),inference(rewrite,[status(thm)],[prove_there_is_a_common_ocean]),[]).
% 
% fof(indian_india,plain,(borders(indian,india)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),[]).
% 
% cnf(154272064,plain,(borders(indian,india)),inference(rewrite,[status(thm)],[indian_india]),[]).
% 
% cnf(162660904,plain,(~borders(indian,A)|~african(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[154341752,154235304,154380536,154272064]),[]).
% 
% fof(somalia,plain,(african(somalia)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),[]).
% 
% cnf(154329632,plain,(african(somalia)),inference(rewrite,[status(thm)],[somalia]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[154288144,162660904,154329632]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------