%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN135-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art07.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 16:54:18 EDT 2009

% Result   : Unsatisfiable 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   14 (   5 sgn   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_137,plain,
    ! [A,B,C] :
      ( n2(A)
      | ~ p1(B,C,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN135-1.tptp',unknown),
    [] ).

cnf(156288232,plain,
    ( n2(A)
    | ~ p1(B,C,A) ),
    inference(rewrite,[status(thm)],[rule_137]),
    [] ).

fof(rule_075,plain,
    ( p1(a,a,a)
    | ~ p0(b,a) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN135-1.tptp',unknown),
    [] ).

fof(axiom_14,plain,
    ! [A] : p0(b,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN135-1.tptp',unknown),
    [] ).

cnf(154685280,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

cnf(155617928,plain,
    p1(a,a,a),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,154685280]),
    [] ).

cnf(170957840,plain,
    n2(a),
    inference(resolution,[status(thm)],[156288232,155617928]),
    [] ).

fof(prove_this,plain,
    ! [A,B] : ~ m3(A,B,a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN135-1.tptp',unknown),
    [] ).

cnf(158981784,plain,
    ~ m3(A,B,a),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

fof(rule_236,plain,
    ! [A] :
      ( m3(A,A,A)
      | ~ n2(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN135-1.tptp',unknown),
    [] ).

cnf(157657168,plain,
    ( m3(A,A,A)
    | ~ n2(A) ),
    inference(rewrite,[status(thm)],[rule_236]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[170957840,158981784,157657168]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN135-1.tptp',unknown),[]).
% 
% cnf(156288232,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
% 
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN135-1.tptp',unknown),[]).
% 
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN135-1.tptp',unknown),[]).
% 
% cnf(154685280,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% cnf(155617928,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,154685280]),[]).
% 
% cnf(170957840,plain,(n2(a)),inference(resolution,[status(thm)],[156288232,155617928]),[]).
% 
% fof(prove_this,plain,(~m3(A,B,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN135-1.tptp',unknown),[]).
% 
% cnf(158981784,plain,(~m3(A,B,a)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% fof(rule_236,plain,(m3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN135-1.tptp',unknown),[]).
% 
% cnf(157657168,plain,(m3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_236]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[170957840,158981784,157657168]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------