%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN265-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.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 17:33:52 EDT 2009

% Result   : Unsatisfiable 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (  12 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  17   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   32 (   6 sgn  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
    ! [A] : ~ p3(A,A,a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),
    [] ).

cnf(166882832,plain,
    ~ p3(A,A,a),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

fof(rule_248,plain,
    ! [A,B] :
      ( p3(A,A,A)
      | ~ p2(B,A,A)
      | ~ n3(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),
    [] ).

fof(rule_240,plain,
    ! [A,B,C] :
      ( n3(A)
      | ~ p2(B,C,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),
    [] ).

cnf(165605960,plain,
    ( n3(A)
    | ~ p2(B,C,A) ),
    inference(rewrite,[status(thm)],[rule_240]),
    [] ).

cnf(165719112,plain,
    ( p3(A,A,A)
    | ~ p2(B,A,A) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_248,165605960]),
    [] ).

fof(rule_159,plain,
    ! [A] :
      ( p2(A,A,A)
      | ~ k1(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),
    [] ).

cnf(164498496,plain,
    ( p2(A,A,A)
    | ~ k1(A) ),
    inference(rewrite,[status(thm)],[rule_159]),
    [] ).

fof(rule_001,plain,
    ! [A,B] :
      ( k1(A)
      | ~ n0(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),
    [] ).

cnf(162706704,plain,
    ( k1(A)
    | ~ n0(B,A) ),
    inference(rewrite,[status(thm)],[rule_001]),
    [] ).

fof(axiom_3,plain,
    n0(d,e),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),
    [] ).

cnf(162516864,plain,
    n0(d,e),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

cnf(175923392,plain,
    k1(e),
    inference(resolution,[status(thm)],[162706704,162516864]),
    [] ).

cnf(176059720,plain,
    p2(e,e,e),
    inference(resolution,[status(thm)],[164498496,175923392]),
    [] ).

fof(rule_165,plain,
    ! [A,B,C] :
      ( p2(A,A,A)
      | ~ q1(B,C,B)
      | ~ p2(B,B,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),
    [] ).

cnf(164604456,plain,
    ( p2(A,A,A)
    | ~ q1(B,C,B)
    | ~ p2(B,B,C) ),
    inference(rewrite,[status(thm)],[rule_165]),
    [] ).

fof(rule_107,plain,
    ! [A] :
      ( q1(e,A,A)
      | ~ m0(A,d,A)
      | ~ m0(e,d,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),
    [] ).

fof(axiom_19,plain,
    ! [A,B] : m0(A,d,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),
    [] ).

cnf(162609208,plain,
    m0(A,d,B),
    inference(rewrite,[status(thm)],[axiom_19]),
    [] ).

cnf(163866976,plain,
    q1(e,A,A),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,162609208]),
    [] ).

cnf(178658968,plain,
    p2(A,A,A),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[176059720,164604456,163866976]),
    [] ).

cnf(179344312,plain,
    p3(A,A,A),
    inference(resolution,[status(thm)],[165719112,178658968]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[166882832,179344312]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~p3(A,A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),[]).
% 
% cnf(166882832,plain,(~p3(A,A,a)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% fof(rule_248,plain,(p3(A,A,A)|~p2(B,A,A)|~n3(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),[]).
% 
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),[]).
% 
% cnf(165605960,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
% 
% cnf(165719112,plain,(p3(A,A,A)|~p2(B,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_248,165605960]),[]).
% 
% fof(rule_159,plain,(p2(A,A,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),[]).
% 
% cnf(164498496,plain,(p2(A,A,A)|~k1(A)),inference(rewrite,[status(thm)],[rule_159]),[]).
% 
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),[]).
% 
% cnf(162706704,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
% 
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),[]).
% 
% cnf(162516864,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% cnf(175923392,plain,(k1(e)),inference(resolution,[status(thm)],[162706704,162516864]),[]).
% 
% cnf(176059720,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[164498496,175923392]),[]).
% 
% fof(rule_165,plain,(p2(A,A,A)|~q1(B,C,B)|~p2(B,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),[]).
% 
% cnf(164604456,plain,(p2(A,A,A)|~q1(B,C,B)|~p2(B,B,C)),inference(rewrite,[status(thm)],[rule_165]),[]).
% 
% fof(rule_107,plain,(q1(e,A,A)|~m0(A,d,A)|~m0(e,d,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),[]).
% 
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN265-1.tptp',unknown),[]).
% 
% cnf(162609208,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
% 
% cnf(163866976,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,162609208]),[]).
% 
% cnf(178658968,plain,(p2(A,A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[176059720,164604456,163866976]),[]).
% 
% cnf(179344312,plain,(p3(A,A,A)),inference(resolution,[status(thm)],[165719112,178658968]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[166882832,179344312]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------