%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN241-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.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 17:22:45 EDT 2009

% Result   : Unsatisfiable 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (  12 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   20 (  11   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   16 (   4 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
    ! [A] : ~ m1(a,a,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN241-1.tptp',unknown),
    [] ).

cnf(173845240,plain,
    ~ m1(a,a,A),
    inference(rewrite,[status(thm)],[prove_this]),
    [] ).

fof(axiom_14,plain,
    ! [A] : p0(b,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN241-1.tptp',unknown),
    [] ).

cnf(169557832,plain,
    p0(b,A),
    inference(rewrite,[status(thm)],[axiom_14]),
    [] ).

fof(rule_029,plain,
    ! [A,B] :
      ( m1(A,B,A)
      | ~ p0(A,B)
      | ~ s0(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN241-1.tptp',unknown),
    [] ).

cnf(169974240,plain,
    ( m1(A,B,A)
    | ~ p0(A,B)
    | ~ s0(A) ),
    inference(rewrite,[status(thm)],[rule_029]),
    [] ).

fof(axiom_5,plain,
    s0(b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN241-1.tptp',unknown),
    [] ).

cnf(169510032,plain,
    s0(b),
    inference(rewrite,[status(thm)],[axiom_5]),
    [] ).

cnf(182261048,plain,
    m1(b,A,b),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[169557832,169974240,169510032]),
    [] ).

fof(rule_024,plain,
    ! [A,B,C] :
      ( m1(A,a,B)
      | ~ m0(a,C,a)
      | ~ q0(A,B)
      | ~ m1(B,c,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN241-1.tptp',unknown),
    [] ).

fof(axiom_12,plain,
    ! [A] : m0(a,A,a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN241-1.tptp',unknown),
    [] ).

cnf(169550232,plain,
    m0(a,A,a),
    inference(rewrite,[status(thm)],[axiom_12]),
    [] ).

cnf(169936176,plain,
    ( m1(A,a,B)
    | ~ q0(A,B)
    | ~ m1(B,c,B) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_024,169550232]),
    [] ).

fof(axiom_36,plain,
    q0(a,b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN241-1.tptp',unknown),
    [] ).

cnf(169465392,plain,
    q0(a,b),
    inference(rewrite,[status(thm)],[axiom_36]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173845240,182261048,169936176,169465392]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~m1(a,a,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN241-1.tptp',unknown),[]).
% 
% cnf(173845240,plain,(~m1(a,a,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
% 
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN241-1.tptp',unknown),[]).
% 
% cnf(169557832,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
% 
% fof(rule_029,plain,(m1(A,B,A)|~p0(A,B)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN241-1.tptp',unknown),[]).
% 
% cnf(169974240,plain,(m1(A,B,A)|~p0(A,B)|~s0(A)),inference(rewrite,[status(thm)],[rule_029]),[]).
% 
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN241-1.tptp',unknown),[]).
% 
% cnf(169510032,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
% 
% cnf(182261048,plain,(m1(b,A,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[169557832,169974240,169510032]),[]).
% 
% fof(rule_024,plain,(m1(A,a,B)|~m0(a,C,a)|~q0(A,B)|~m1(B,c,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN241-1.tptp',unknown),[]).
% 
% fof(axiom_12,plain,(m0(a,A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN241-1.tptp',unknown),[]).
% 
% cnf(169550232,plain,(m0(a,A,a)),inference(rewrite,[status(thm)],[axiom_12]),[]).
% 
% cnf(169936176,plain,(m1(A,a,B)|~q0(A,B)|~m1(B,c,B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_024,169550232]),[]).
% 
% fof(axiom_36,plain,(q0(a,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN241-1.tptp',unknown),[]).
% 
% cnf(169465392,plain,(q0(a,b)),inference(rewrite,[status(thm)],[axiom_36]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[173845240,182261048,169936176,169465392]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------