%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN108-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art07.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 16:46:40 EDT 2009

% Result   : Unsatisfiable 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   13 (   4 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_129,plain,
    ! [A,B] :
      ( k2(A,A)
      | ~ q1(B,A,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN108-1.tptp',unknown),
    [] ).

cnf(158321096,plain,
    ( k2(A,A)
    | ~ q1(B,A,A) ),
    inference(rewrite,[status(thm)],[rule_129]),
    [] ).

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/SYN108-1.tptp',unknown),
    [] ).

fof(axiom_19,plain,
    ! [A,B] : m0(A,d,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN108-1.tptp',unknown),
    [] ).

cnf(156852664,plain,
    m0(A,d,B),
    inference(rewrite,[status(thm)],[axiom_19]),
    [] ).

cnf(158110432,plain,
    q1(e,A,A),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,156852664]),
    [] ).

cnf(173421232,plain,
    k2(A,A),
    inference(resolution,[status(thm)],[158321096,158110432]),
    [] ).

fof(prove_this,plain,
    ! [A] : ~ k2(a,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN108-1.tptp',unknown),
    [] ).

cnf(161126368,plain,
    ~ k2(a,A),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[173421232,161126368]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_129,plain,(k2(A,A)|~q1(B,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN108-1.tptp',unknown),[]).
% 
% cnf(158321096,plain,(k2(A,A)|~q1(B,A,A)),inference(rewrite,[status(thm)],[rule_129]),[]).
% 
% 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/SYN108-1.tptp',unknown),[]).
% 
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN108-1.tptp',unknown),[]).
% 
% cnf(156852664,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
% 
% cnf(158110432,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,156852664]),[]).
% 
% cnf(173421232,plain,(k2(A,A)),inference(resolution,[status(thm)],[158321096,158110432]),[]).
% 
% fof(prove_this,plain,(~k2(a,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN108-1.tptp',unknown),[]).
% 
% cnf(161126368,plain,(~k2(a,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[173421232,161126368]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------