%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN225-1 : TPTP v3.4.2. Released v1.1.0.
% 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 17:18:13 EDT 2009

% Result   : Unsatisfiable 0.5s
% Output   : Refutation 0.5s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (  11 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  13   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   13 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_021,plain,
    ! [A,B] :
      ( m1(A,B,A)
      | ~ l0(A)
      | ~ k0(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN225-1.tptp',unknown),
    [] ).

cnf(169270848,plain,
    ( m1(A,B,A)
    | ~ l0(A)
    | ~ k0(B) ),
    inference(rewrite,[status(thm)],[rule_021]),
    [] ).

fof(axiom_32,plain,
    k0(b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN225-1.tptp',unknown),
    [] ).

cnf(169005560,plain,
    k0(b),
    inference(rewrite,[status(thm)],[axiom_32]),
    [] ).

cnf(187650128,plain,
    ( m1(A,b,A)
    | ~ l0(A) ),
    inference(resolution,[status(thm)],[169270848,169005560]),
    [] ).

fof(axiom_20,plain,
    l0(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN225-1.tptp',unknown),
    [] ).

cnf(168945104,plain,
    l0(a),
    inference(rewrite,[status(thm)],[axiom_20]),
    [] ).

cnf(187734872,plain,
    m1(a,b,a),
    inference(resolution,[status(thm)],[187650128,168945104]),
    [] ).

fof(rule_176,plain,
    ! [A,B] :
      ( p2(A,B,A)
      | ~ m1(B,A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN225-1.tptp',unknown),
    [] ).

cnf(171050928,plain,
    ( p2(A,B,A)
    | ~ m1(B,A,B) ),
    inference(rewrite,[status(thm)],[rule_176]),
    [] ).

cnf(187787712,plain,
    p2(b,a,b),
    inference(resolution,[status(thm)],[187734872,171050928]),
    [] ).

fof(axiom_9,plain,
    r0(b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN225-1.tptp',unknown),
    [] ).

cnf(168890032,plain,
    r0(b),
    inference(rewrite,[status(thm)],[axiom_9]),
    [] ).

fof(rule_215,plain,
    ! [A,B] :
      ( l3(A,B)
      | ~ r0(A)
      | ~ p2(A,B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN225-1.tptp',unknown),
    [] ).

cnf(171581288,plain,
    ( l3(A,B)
    | ~ r0(A)
    | ~ p2(A,B,A) ),
    inference(rewrite,[status(thm)],[rule_215]),
    [] ).

fof(prove_this,plain,
    ~ l3(b,a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN225-1.tptp',unknown),
    [] ).

cnf(173214352,plain,
    ~ l3(b,a),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[187787712,168890032,171581288,173214352]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_021,plain,(m1(A,B,A)|~l0(A)|~k0(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN225-1.tptp',unknown),[]).
% 
% cnf(169270848,plain,(m1(A,B,A)|~l0(A)|~k0(B)),inference(rewrite,[status(thm)],[rule_021]),[]).
% 
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN225-1.tptp',unknown),[]).
% 
% cnf(169005560,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
% 
% cnf(187650128,plain,(m1(A,b,A)|~l0(A)),inference(resolution,[status(thm)],[169270848,169005560]),[]).
% 
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN225-1.tptp',unknown),[]).
% 
% cnf(168945104,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
% 
% cnf(187734872,plain,(m1(a,b,a)),inference(resolution,[status(thm)],[187650128,168945104]),[]).
% 
% fof(rule_176,plain,(p2(A,B,A)|~m1(B,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN225-1.tptp',unknown),[]).
% 
% cnf(171050928,plain,(p2(A,B,A)|~m1(B,A,B)),inference(rewrite,[status(thm)],[rule_176]),[]).
% 
% cnf(187787712,plain,(p2(b,a,b)),inference(resolution,[status(thm)],[187734872,171050928]),[]).
% 
% fof(axiom_9,plain,(r0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN225-1.tptp',unknown),[]).
% 
% cnf(168890032,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
% 
% fof(rule_215,plain,(l3(A,B)|~r0(A)|~p2(A,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN225-1.tptp',unknown),[]).
% 
% cnf(171581288,plain,(l3(A,B)|~r0(A)|~p2(A,B,A)),inference(rewrite,[status(thm)],[rule_215]),[]).
% 
% fof(prove_this,plain,(~l3(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN225-1.tptp',unknown),[]).
% 
% cnf(173214352,plain,(~l3(b,a)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[187787712,168890032,171581288,173214352]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------