%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN033-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.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 16:38:10 EDT 2009

% Result   : Unsatisfiable 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   0 con; 1-2 aty)
%            Number of variables   :   29 (   0 sgn  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause3,plain,
    ! [A,B,C,D,E,F] :
      ( ~ p(A,B,C)
      | ~ p(D,E,B)
      | ~ p(A,D,F)
      | p(F,E,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN033-1.tptp',unknown),
    [] ).

cnf(164165384,plain,
    ( ~ p(A,B,C)
    | ~ p(D,E,B)
    | ~ p(A,D,F)
    | p(F,E,C) ),
    inference(rewrite,[status(thm)],[clause3]),
    [] ).

fof(clause2,plain,
    ! [A,B] : p(A,h(A,B),B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN033-1.tptp',unknown),
    [] ).

cnf(164155584,plain,
    p(A,h(A,B),B),
    inference(rewrite,[status(thm)],[clause2]),
    [] ).

cnf(172050272,plain,
    ( ~ p(A,B,C)
    | ~ p(A,D,E)
    | p(E,h(D,B),C) ),
    inference(resolution,[status(thm)],[164165384,164155584]),
    [] ).

fof(clause1,plain,
    ! [A,B] : p(g(A,B),A,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN033-1.tptp',unknown),
    [] ).

cnf(164151656,plain,
    p(g(A,B),A,B),
    inference(rewrite,[status(thm)],[clause1]),
    [] ).

cnf(172161848,plain,
    p(B,h(A,A),B),
    inference(resolution,[status(thm)],[172050272,164151656]),
    [] ).

fof(prove_something,plain,
    ! [A] : ~ p(k(A),A,k(A)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN033-1.tptp',unknown),
    [] ).

cnf(164169144,plain,
    ~ p(k(A),A,k(A)),
    inference(rewrite,[status(thm)],[prove_something]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[172161848,164169144]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause3,plain,(~p(A,B,C)|~p(D,E,B)|~p(A,D,F)|p(F,E,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN033-1.tptp',unknown),[]).
% 
% cnf(164165384,plain,(~p(A,B,C)|~p(D,E,B)|~p(A,D,F)|p(F,E,C)),inference(rewrite,[status(thm)],[clause3]),[]).
% 
% fof(clause2,plain,(p(A,h(A,B),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN033-1.tptp',unknown),[]).
% 
% cnf(164155584,plain,(p(A,h(A,B),B)),inference(rewrite,[status(thm)],[clause2]),[]).
% 
% cnf(172050272,plain,(~p(A,B,C)|~p(A,D,E)|p(E,h(D,B),C)),inference(resolution,[status(thm)],[164165384,164155584]),[]).
% 
% fof(clause1,plain,(p(g(A,B),A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN033-1.tptp',unknown),[]).
% 
% cnf(164151656,plain,(p(g(A,B),A,B)),inference(rewrite,[status(thm)],[clause1]),[]).
% 
% cnf(172161848,plain,(p(B,h(A,A),B)),inference(resolution,[status(thm)],[172050272,164151656]),[]).
% 
% fof(prove_something,plain,(~p(k(A),A,k(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN033-1.tptp',unknown),[]).
% 
% cnf(164169144,plain,(~p(k(A),A,k(A))),inference(rewrite,[status(thm)],[prove_something]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[172161848,164169144]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------