%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN286-1 : 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 17:43:08 EDT 2009

% Result   : Unsatisfiable 0.4s
% Output   : Refutation 0.4s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (  11 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (  12   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   16 (   3 sgn   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
    ! [A] : ~ q1(a,e,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN286-1.tptp',unknown),
    [] ).

cnf(181244032,plain,
    ~ q1(a,e,A),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

fof(axiom_28,plain,
    k0(e),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN286-1.tptp',unknown),
    [] ).

cnf(177012576,plain,
    k0(e),
    inference(rewrite,[status(thm)],[axiom_28]),
    [] ).

fof(rule_099,plain,
    ! [A,B,C] :
      ( q1(A,B,B)
      | ~ k0(C)
      | ~ l0(A)
      | ~ q1(B,B,C) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN286-1.tptp',unknown),
    [] ).

cnf(178143360,plain,
    ( q1(A,B,B)
    | ~ k0(C)
    | ~ l0(A)
    | ~ q1(B,B,C) ),
    inference(rewrite,[status(thm)],[rule_099]),
    [] ).

fof(axiom_20,plain,
    l0(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN286-1.tptp',unknown),
    [] ).

cnf(176974144,plain,
    l0(a),
    inference(rewrite,[status(thm)],[axiom_20]),
    [] ).

cnf(190025488,plain,
    ( q1(a,A,A)
    | ~ k0(B)
    | ~ q1(A,A,B) ),
    inference(resolution,[status(thm)],[178143360,176974144]),
    [] ).

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/SYN286-1.tptp',unknown),
    [] ).

fof(axiom_19,plain,
    ! [A,B] : m0(A,d,B),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN286-1.tptp',unknown),
    [] ).

cnf(176969784,plain,
    m0(A,d,B),
    inference(rewrite,[status(thm)],[axiom_19]),
    [] ).

cnf(178227552,plain,
    q1(e,A,A),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,176969784]),
    [] ).

cnf(194598872,plain,
    q1(a,e,e),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[177012576,190025488,178227552]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[181244032,194598872]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~q1(a,e,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN286-1.tptp',unknown),[]).
% 
% cnf(181244032,plain,(~q1(a,e,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% fof(axiom_28,plain,(k0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN286-1.tptp',unknown),[]).
% 
% cnf(177012576,plain,(k0(e)),inference(rewrite,[status(thm)],[axiom_28]),[]).
% 
% fof(rule_099,plain,(q1(A,B,B)|~k0(C)|~l0(A)|~q1(B,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN286-1.tptp',unknown),[]).
% 
% cnf(178143360,plain,(q1(A,B,B)|~k0(C)|~l0(A)|~q1(B,B,C)),inference(rewrite,[status(thm)],[rule_099]),[]).
% 
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN286-1.tptp',unknown),[]).
% 
% cnf(176974144,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
% 
% cnf(190025488,plain,(q1(a,A,A)|~k0(B)|~q1(A,A,B)),inference(resolution,[status(thm)],[178143360,176974144]),[]).
% 
% 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/SYN286-1.tptp',unknown),[]).
% 
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN286-1.tptp',unknown),[]).
% 
% cnf(176969784,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
% 
% cnf(178227552,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,176969784]),[]).
% 
% cnf(194598872,plain,(q1(a,e,e)),inference(forward_subsumption_resolution__resolution,[status(thm)],[177012576,190025488,178227552]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[181244032,194598872]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------