%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN721-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.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 18:20:09 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   13 (   4 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(lx1_3,plain,
    ! [A,B,C] :
      ( r(A,B)
      | ~ q(C,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN721-1.tptp',unknown),
    [] ).

cnf(141249104,plain,
    ( r(A,B)
    | ~ q(C,B) ),
    inference(rewrite,[status(thm)],[lx1_3]),
    [] ).

fof(lx1_2,plain,
    ! [A,B] :
      ( q(A,A)
      | ~ r(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN721-1.tptp',unknown),
    [] ).

cnf(141236096,plain,
    ( q(A,A)
    | ~ r(A,B) ),
    inference(rewrite,[status(thm)],[lx1_2]),
    [] ).

fof(lx1_1,plain,
    r(a,b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN721-1.tptp',unknown),
    [] ).

cnf(141229688,plain,
    r(a,b),
    inference(rewrite,[status(thm)],[lx1_1]),
    [] ).

cnf(156872208,plain,
    q(a,a),
    inference(resolution,[status(thm)],[141236096,141229688]),
    [] ).

cnf(156880904,plain,
    r(A,a),
    inference(resolution,[status(thm)],[141249104,156872208]),
    [] ).

fof(lx1_4,plain,
    ! [A] :
      ( ~ q(A,a)
      | ~ r(b,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN721-1.tptp',unknown),
    [] ).

cnf(141255552,plain,
    ( ~ q(A,a)
    | ~ r(b,A) ),
    inference(rewrite,[status(thm)],[lx1_4]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[156880904,141255552,156872208]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(lx1_3,plain,(r(A,B)|~q(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN721-1.tptp',unknown),[]).
% 
% cnf(141249104,plain,(r(A,B)|~q(C,B)),inference(rewrite,[status(thm)],[lx1_3]),[]).
% 
% fof(lx1_2,plain,(q(A,A)|~r(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN721-1.tptp',unknown),[]).
% 
% cnf(141236096,plain,(q(A,A)|~r(A,B)),inference(rewrite,[status(thm)],[lx1_2]),[]).
% 
% fof(lx1_1,plain,(r(a,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN721-1.tptp',unknown),[]).
% 
% cnf(141229688,plain,(r(a,b)),inference(rewrite,[status(thm)],[lx1_1]),[]).
% 
% cnf(156872208,plain,(q(a,a)),inference(resolution,[status(thm)],[141236096,141229688]),[]).
% 
% cnf(156880904,plain,(r(A,a)),inference(resolution,[status(thm)],[141249104,156872208]),[]).
% 
% fof(lx1_4,plain,(~q(A,a)|~r(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN721-1.tptp',unknown),[]).
% 
% cnf(141255552,plain,(~q(A,a)|~r(b,A)),inference(rewrite,[status(thm)],[lx1_4]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[156880904,141255552,156872208]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------