%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : NUM387+1 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.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 15:03:15 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   11 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   6   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    7 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t10_ordinal1,plain,
    ! [A] : in(A,succ(A)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM387+1.tptp',unknown),
    [] ).

cnf(142644760,plain,
    in(A,succ(A)),
    inference(rewrite,[status(thm)],[t10_ordinal1]),
    [] ).

fof(antisymmetry_r2_hidden,plain,
    ! [A,B] :
      ( ~ in(A,B)
      | ~ in(B,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM387+1.tptp',unknown),
    [] ).

cnf(142343296,plain,
    ( ~ in(A,B)
    | ~ in(B,A) ),
    inference(rewrite,[status(thm)],[antisymmetry_r2_hidden]),
    [] ).

cnf(151146048,plain,
    ~ in(succ(A),A),
    inference(resolution,[status(thm)],[142343296,142644760]),
    [] ).

fof(t14_ordinal1,plain,
    $equal(succ(a),a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM387+1.tptp',unknown),
    [] ).

cnf(142670728,plain,
    $equal(succ(a),a),
    inference(rewrite,[status(thm)],[t14_ordinal1]),
    [] ).

cnf(154594792,plain,
    ~ in(a,a),
    inference(paramodulation,[status(thm)],[151146048,142670728,theory(equality)]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[142644760,154594792,142670728,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(t10_ordinal1,plain,(in(A,succ(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM387+1.tptp',unknown),[]).
% 
% cnf(142644760,plain,(in(A,succ(A))),inference(rewrite,[status(thm)],[t10_ordinal1]),[]).
% 
% fof(antisymmetry_r2_hidden,plain,(~in(A,B)|~in(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM387+1.tptp',unknown),[]).
% 
% cnf(142343296,plain,(~in(A,B)|~in(B,A)),inference(rewrite,[status(thm)],[antisymmetry_r2_hidden]),[]).
% 
% cnf(151146048,plain,(~in(succ(A),A)),inference(resolution,[status(thm)],[142343296,142644760]),[]).
% 
% fof(t14_ordinal1,plain,($equal(succ(a),a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM387+1.tptp',unknown),[]).
% 
% cnf(142670728,plain,($equal(succ(a),a)),inference(rewrite,[status(thm)],[t14_ordinal1]),[]).
% 
% cnf(154594792,plain,(~in(a,a)),inference(paramodulation,[status(thm)],[151146048,142670728,theory(equality)]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[142644760,154594792,142670728,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------