%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN268-1 : 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 17:35:51 EDT 2009

% Result   : Unsatisfiable 0.4s
% Output   : Refutation 0.4s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (   9 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   18 (   5 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_287,plain,
    ! [A,B] :
      ( p4(A,B,A)
      | ~ k3(A,A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN268-1.tptp',unknown),
    [] ).

cnf(165912872,plain,
    ( p4(A,B,A)
    | ~ k3(A,A,B) ),
    inference(rewrite,[status(thm)],[rule_287]),
    [] ).

fof(rule_210,plain,
    ! [A] :
      ( k3(A,A,A)
      | ~ n2(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN268-1.tptp',unknown),
    [] ).

cnf(164852880,plain,
    ( k3(A,A,A)
    | ~ n2(A) ),
    inference(rewrite,[status(thm)],[rule_210]),
    [] ).

fof(rule_137,plain,
    ! [A,B,C] :
      ( n2(A)
      | ~ p1(B,C,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN268-1.tptp',unknown),
    [] ).

cnf(163849448,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/SYN268-1.tptp',unknown),
    [] ).

fof(axiom_14,plain,
    ! [A] : p0(b,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN268-1.tptp',unknown),
    [] ).

cnf(162246496,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

cnf(163179144,plain,
    p1(a,a,a),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,162246496]),
    [] ).

cnf(178566712,plain,
    n2(a),
    inference(resolution,[status(thm)],[163849448,163179144]),
    [] ).

cnf(178617224,plain,
    k3(a,a,a),
    inference(resolution,[status(thm)],[164852880,178566712]),
    [] ).

cnf(181042320,plain,
    p4(a,a,a),
    inference(resolution,[status(thm)],[165912872,178617224]),
    [] ).

fof(prove_this,plain,
    ! [A,B] : ~ p4(a,A,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN268-1.tptp',unknown),
    [] ).

cnf(166541096,plain,
    ~ p4(a,A,B),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[181042320,166541096]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_287,plain,(p4(A,B,A)|~k3(A,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN268-1.tptp',unknown),[]).
% 
% cnf(165912872,plain,(p4(A,B,A)|~k3(A,A,B)),inference(rewrite,[status(thm)],[rule_287]),[]).
% 
% fof(rule_210,plain,(k3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN268-1.tptp',unknown),[]).
% 
% cnf(164852880,plain,(k3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_210]),[]).
% 
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN268-1.tptp',unknown),[]).
% 
% cnf(163849448,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/SYN268-1.tptp',unknown),[]).
% 
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN268-1.tptp',unknown),[]).
% 
% cnf(162246496,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% cnf(163179144,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,162246496]),[]).
% 
% cnf(178566712,plain,(n2(a)),inference(resolution,[status(thm)],[163849448,163179144]),[]).
% 
% cnf(178617224,plain,(k3(a,a,a)),inference(resolution,[status(thm)],[164852880,178566712]),[]).
% 
% cnf(181042320,plain,(p4(a,a,a)),inference(resolution,[status(thm)],[165912872,178617224]),[]).
% 
% fof(prove_this,plain,(~p4(a,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN268-1.tptp',unknown),[]).
% 
% cnf(166541096,plain,(~p4(a,A,B)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[181042320,166541096]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------