%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN153-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art09.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 16:59:02 EDT 2009

% Result   : Unsatisfiable 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (  11 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  12   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   27 (  10 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_240,plain,
    ! [A,B,C] :
      ( n3(A)
      | ~ p2(B,C,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN153-1.tptp',unknown),
    [] ).

cnf(150752976,plain,
    ( n3(A)
    | ~ p2(B,C,A) ),
    inference(rewrite,[status(thm)],[rule_240]),
    [] ).

fof(prove_this,plain,
    ~ n3(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN153-1.tptp',unknown),
    [] ).

cnf(152029776,plain,
    ~ n3(a),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(162555216,plain,
    ~ p2(A,B,a),
    inference(resolution,[status(thm)],[150752976,152029776]),
    [] ).

fof(rule_110,plain,
    ! [A,B,C] :
      ( q1(A,A,A)
      | ~ m0(B,C,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN153-1.tptp',unknown),
    [] ).

cnf(149047032,plain,
    ( q1(A,A,A)
    | ~ m0(B,C,A) ),
    inference(rewrite,[status(thm)],[rule_110]),
    [] ).

fof(axiom_19,plain,
    ! [A,B] : m0(A,d,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN153-1.tptp',unknown),
    [] ).

cnf(147756208,plain,
    m0(A,d,B),
    inference(rewrite,[status(thm)],[axiom_19]),
    [] ).

cnf(163112696,plain,
    q1(A,A,A),
    inference(resolution,[status(thm)],[149047032,147756208]),
    [] ).

fof(rule_169,plain,
    ! [A,B,C] :
      ( p2(A,A,A)
      | ~ q1(B,B,B)
      | ~ p1(A,C,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN153-1.tptp',unknown),
    [] ).

cnf(149798672,plain,
    ( p2(A,A,A)
    | ~ q1(B,B,B)
    | ~ p1(A,C,A) ),
    inference(rewrite,[status(thm)],[rule_169]),
    [] ).

fof(rule_075,plain,
    ( p1(a,a,a)
    | ~ p0(b,a) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN153-1.tptp',unknown),
    [] ).

fof(axiom_14,plain,
    ! [A] : p0(b,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN153-1.tptp',unknown),
    [] ).

cnf(147733440,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

cnf(148666088,plain,
    p1(a,a,a),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,147733440]),
    [] ).

cnf(163745648,plain,
    p2(a,a,a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163112696,149798672,148666088]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[162555216,163745648]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN153-1.tptp',unknown),[]).
% 
% cnf(150752976,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
% 
% fof(prove_this,plain,(~n3(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN153-1.tptp',unknown),[]).
% 
% cnf(152029776,plain,(~n3(a)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(162555216,plain,(~p2(A,B,a)),inference(resolution,[status(thm)],[150752976,152029776]),[]).
% 
% fof(rule_110,plain,(q1(A,A,A)|~m0(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN153-1.tptp',unknown),[]).
% 
% cnf(149047032,plain,(q1(A,A,A)|~m0(B,C,A)),inference(rewrite,[status(thm)],[rule_110]),[]).
% 
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN153-1.tptp',unknown),[]).
% 
% cnf(147756208,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
% 
% cnf(163112696,plain,(q1(A,A,A)),inference(resolution,[status(thm)],[149047032,147756208]),[]).
% 
% fof(rule_169,plain,(p2(A,A,A)|~q1(B,B,B)|~p1(A,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN153-1.tptp',unknown),[]).
% 
% cnf(149798672,plain,(p2(A,A,A)|~q1(B,B,B)|~p1(A,C,A)),inference(rewrite,[status(thm)],[rule_169]),[]).
% 
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN153-1.tptp',unknown),[]).
% 
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN153-1.tptp',unknown),[]).
% 
% cnf(147733440,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% cnf(148666088,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,147733440]),[]).
% 
% cnf(163745648,plain,(p2(a,a,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163112696,149798672,148666088]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[162555216,163745648]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------