%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SEU123+1 : TPTP v3.4.2. Released v3.3.0.
% 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 15:47:16 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   17 (   8   ~;   6   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    6 (   1 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t2_xboole_1,plain,
    ! [A] : subset(empty_set,A),
    file('/tmp/SystemOnTPTP32339/SEU123+1.p',unknown),
    [] ).

cnf(157099080,plain,
    subset(empty_set,A),
    inference(rewrite,[status(thm)],[t2_xboole_1]),
    [] ).

fof(d10_xboole_0,plain,
    ! [B,A] :
      ( ( subset(B,A)
        | ~ $equal(B,A) )
      & ( subset(A,B)
        | ~ $equal(B,A) )
      & ( $equal(B,A)
        | ~ subset(A,B)
        | ~ subset(B,A) ) ),
    file('/tmp/SystemOnTPTP32339/SEU123+1.p',unknown),
    [] ).

cnf(157054784,plain,
    ( $equal(B,A)
    | ~ subset(A,B)
    | ~ subset(B,A) ),
    inference(rewrite,[status(thm)],[d10_xboole_0]),
    [] ).

fof(t3_xboole_1,plain,
    ( subset(a,empty_set)
    & ~ $equal(empty_set,a) ),
    file('/tmp/SystemOnTPTP32339/SEU123+1.p',unknown),
    [] ).

cnf(157143152,plain,
    subset(a,empty_set),
    inference(rewrite,[status(thm)],[t3_xboole_1]),
    [] ).

cnf(167679240,plain,
    $equal(empty_set,a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[157099080,157054784,157143152]),
    [] ).

cnf(157135744,plain,
    ~ $equal(empty_set,a),
    inference(rewrite,[status(thm)],[t3_xboole_1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[167679240,157135744]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(t2_xboole_1,plain,(subset(empty_set,A)),file('/tmp/SystemOnTPTP32339/SEU123+1.p',unknown),[]).
% 
% cnf(157099080,plain,(subset(empty_set,A)),inference(rewrite,[status(thm)],[t2_xboole_1]),[]).
% 
% fof(d10_xboole_0,plain,(((subset(B,A)|~$equal(B,A))&(subset(A,B)|~$equal(B,A))&($equal(B,A)|~subset(A,B)|~subset(B,A)))),file('/tmp/SystemOnTPTP32339/SEU123+1.p',unknown),[]).
% 
% cnf(157054784,plain,($equal(B,A)|~subset(A,B)|~subset(B,A)),inference(rewrite,[status(thm)],[d10_xboole_0]),[]).
% 
% fof(t3_xboole_1,plain,((subset(a,empty_set)&~$equal(empty_set,a))),file('/tmp/SystemOnTPTP32339/SEU123+1.p',unknown),[]).
% 
% cnf(157143152,plain,(subset(a,empty_set)),inference(rewrite,[status(thm)],[t3_xboole_1]),[]).
% 
% cnf(167679240,plain,($equal(empty_set,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[157099080,157054784,157143152]),[]).
% 
% cnf(157135744,plain,(~$equal(empty_set,a)),inference(rewrite,[status(thm)],[t3_xboole_1]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[167679240,157135744]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------