%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN278-1 : 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 17:39:00 EDT 2009

% Result   : Unsatisfiable 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    7 (   6 unt;   0 def)
%            Number of atoms       :    9 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   10 (   4 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/SYN278-1.tptp',unknown),
    [] ).

fof(axiom_19,plain,
    ! [A,B] : m0(A,d,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN278-1.tptp',unknown),
    [] ).

cnf(167817704,plain,
    m0(A,d,B),
    inference(rewrite,[status(thm)],[axiom_19]),
    [] ).

cnf(169075472,plain,
    q1(e,A,A),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,167817704]),
    [] ).

fof(prove_this,plain,
    ! [A,B] : ~ q1(A,B,e),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN278-1.tptp',unknown),
    [] ).

cnf(172091864,plain,
    ~ q1(A,B,e),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[169075472,172091864]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% 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/SYN278-1.tptp',unknown),[]).
% 
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN278-1.tptp',unknown),[]).
% 
% cnf(167817704,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
% 
% cnf(169075472,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,167817704]),[]).
% 
% fof(prove_this,plain,(~q1(A,B,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN278-1.tptp',unknown),[]).
% 
% cnf(172091864,plain,(~q1(A,B,e)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[169075472,172091864]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------