%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN147-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art01.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 16:55:55 EDT 2009

% Result   : Unsatisfiable 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (  13 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   18 (   5 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
    ! [A] : ~ n1(A,d,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN147-1.tptp',unknown),
    [] ).

cnf(153905160,plain,
    ~ n1(A,d,A),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

fof(rule_050,plain,
    ! [A,B] :
      ( n1(A,B,A)
      | ~ s0(b)
      | ~ l0(A)
      | ~ p0(b,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN147-1.tptp',unknown),
    [] ).

fof(axiom_14,plain,
    ! [A] : p0(b,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN147-1.tptp',unknown),
    [] ).

cnf(149608672,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

fof(axiom_5,plain,
    s0(b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN147-1.tptp',unknown),
    [] ).

cnf(149560872,plain,
    s0(b),
    inference(rewrite,[status(thm)],[axiom_5]),
    [] ).

cnf(150257136,plain,
    ( n1(A,B,A)
    | ~ l0(A) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_050,149608672,149560872]),
    [] ).

fof(axiom_20,plain,
    l0(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN147-1.tptp',unknown),
    [] ).

cnf(149635800,plain,
    l0(a),
    inference(rewrite,[status(thm)],[axiom_20]),
    [] ).

cnf(162521288,plain,
    n1(a,A,a),
    inference(resolution,[status(thm)],[150257136,149635800]),
    [] ).

fof(rule_062,plain,
    ! [A,B,C] :
      ( n1(A,A,A)
      | ~ m0(B,B,C)
      | ~ n1(B,A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN147-1.tptp',unknown),
    [] ).

cnf(150406608,plain,
    ( n1(A,A,A)
    | ~ m0(B,B,C)
    | ~ n1(B,A,B) ),
    inference(rewrite,[status(thm)],[rule_062]),
    [] ).

fof(axiom_12,plain,
    ! [A] : m0(a,A,a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN147-1.tptp',unknown),
    [] ).

cnf(149601072,plain,
    m0(a,A,a),
    inference(rewrite,[status(thm)],[axiom_12]),
    [] ).

cnf(164761656,plain,
    n1(A,A,A),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[162521288,150406608,149601072]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[153905160,164761656]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~n1(A,d,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN147-1.tptp',unknown),[]).
% 
% cnf(153905160,plain,(~n1(A,d,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% fof(rule_050,plain,(n1(A,B,A)|~s0(b)|~l0(A)|~p0(b,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN147-1.tptp',unknown),[]).
% 
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN147-1.tptp',unknown),[]).
% 
% cnf(149608672,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN147-1.tptp',unknown),[]).
% 
% cnf(149560872,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
% 
% cnf(150257136,plain,(n1(A,B,A)|~l0(A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_050,149608672,149560872]),[]).
% 
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN147-1.tptp',unknown),[]).
% 
% cnf(149635800,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
% 
% cnf(162521288,plain,(n1(a,A,a)),inference(resolution,[status(thm)],[150257136,149635800]),[]).
% 
% fof(rule_062,plain,(n1(A,A,A)|~m0(B,B,C)|~n1(B,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN147-1.tptp',unknown),[]).
% 
% cnf(150406608,plain,(n1(A,A,A)|~m0(B,B,C)|~n1(B,A,B)),inference(rewrite,[status(thm)],[rule_062]),[]).
% 
% fof(axiom_12,plain,(m0(a,A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN147-1.tptp',unknown),[]).
% 
% cnf(149601072,plain,(m0(a,A,a)),inference(rewrite,[status(thm)],[axiom_12]),[]).
% 
% cnf(164761656,plain,(n1(A,A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162521288,150406608,149601072]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[153905160,164761656]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------