%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SEU306+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.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 15:55:30 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   2   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :    2 (   0 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(d3_pre_topc,plain,
    ! [A] :
      ( ~ one_sorted_str(A)
      | $equal(the_carrier(A),cast_as_carrier_subset(A)) ),
    file('/tmp/SystemOnTPTP12313/SEU306+1.p',unknown),
    [] ).

cnf(149673536,plain,
    ( ~ one_sorted_str(A)
    | $equal(the_carrier(A),cast_as_carrier_subset(A)) ),
    inference(rewrite,[status(thm)],[d3_pre_topc]),
    [] ).

fof(t12_pre_topc,plain,
    ( one_sorted_str(a)
    & ~ $equal(the_carrier(a),cast_as_carrier_subset(a)) ),
    file('/tmp/SystemOnTPTP12313/SEU306+1.p',unknown),
    [] ).

cnf(149730432,plain,
    one_sorted_str(a),
    inference(rewrite,[status(thm)],[t12_pre_topc]),
    [] ).

cnf(160665144,plain,
    $equal(the_carrier(a),cast_as_carrier_subset(a)),
    inference(resolution,[status(thm)],[149673536,149730432]),
    [] ).

cnf(149722048,plain,
    ~ $equal(the_carrier(a),cast_as_carrier_subset(a)),
    inference(rewrite,[status(thm)],[t12_pre_topc]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[160665144,149722048]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(d3_pre_topc,plain,(~one_sorted_str(A)|$equal(the_carrier(A),cast_as_carrier_subset(A))),file('/tmp/SystemOnTPTP12313/SEU306+1.p',unknown),[]).
% 
% cnf(149673536,plain,(~one_sorted_str(A)|$equal(the_carrier(A),cast_as_carrier_subset(A))),inference(rewrite,[status(thm)],[d3_pre_topc]),[]).
% 
% fof(t12_pre_topc,plain,((one_sorted_str(a)&~$equal(the_carrier(a),cast_as_carrier_subset(a)))),file('/tmp/SystemOnTPTP12313/SEU306+1.p',unknown),[]).
% 
% cnf(149730432,plain,(one_sorted_str(a)),inference(rewrite,[status(thm)],[t12_pre_topc]),[]).
% 
% cnf(160665144,plain,($equal(the_carrier(a),cast_as_carrier_subset(a))),inference(resolution,[status(thm)],[149673536,149730432]),[]).
% 
% cnf(149722048,plain,(~$equal(the_carrier(a),cast_as_carrier_subset(a))),inference(rewrite,[status(thm)],[t12_pre_topc]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[160665144,149722048]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------