%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SEU200+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art07.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 05:25:45 EST 2010

% Result   : Theorem 0.66s
% Output   : CNFRefutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   31 (   7 unt;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   87 (  41   ~;  31   |;   8   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   36 (   2 sgn  26   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(68,axiom,
    ! [X1,X2] :
      ( relation(X2)
     => subset(relation_rng_restriction(X1,X2),X2) ),
    file('/tmp/tmp59G5zx/sel_SEU200+2.p_1',t117_relat_1) ).

fof(93,axiom,
    ! [X1,X2] :
      ( relation(X2)
     => relation(relation_rng_restriction(X1,X2)) ),
    file('/tmp/tmp59G5zx/sel_SEU200+2.p_1',dt_k8_relat_1) ).

fof(97,conjecture,
    ! [X1,X2] :
      ( relation(X2)
     => subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ),
    file('/tmp/tmp59G5zx/sel_SEU200+2.p_1',t118_relat_1) ).

fof(186,axiom,
    ! [X1] :
      ( relation(X1)
     => ! [X2] :
          ( relation(X2)
         => ( subset(X1,X2)
           => ( subset(relation_dom(X1),relation_dom(X2))
              & subset(relation_rng(X1),relation_rng(X2)) ) ) ) ),
    file('/tmp/tmp59G5zx/sel_SEU200+2.p_1',t25_relat_1) ).

fof(194,negated_conjecture,
    ~ ! [X1,X2] :
        ( relation(X2)
       => subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ),
    inference(assume_negation,[status(cth)],[97]) ).

fof(477,plain,
    ! [X1,X2] :
      ( ~ relation(X2)
      | subset(relation_rng_restriction(X1,X2),X2) ),
    inference(fof_nnf,[status(thm)],[68]) ).

fof(478,plain,
    ! [X3,X4] :
      ( ~ relation(X4)
      | subset(relation_rng_restriction(X3,X4),X4) ),
    inference(variable_rename,[status(thm)],[477]) ).

cnf(479,plain,
    ( subset(relation_rng_restriction(X1,X2),X2)
    | ~ relation(X2) ),
    inference(split_conjunct,[status(thm)],[478]) ).

fof(598,plain,
    ! [X1,X2] :
      ( ~ relation(X2)
      | relation(relation_rng_restriction(X1,X2)) ),
    inference(fof_nnf,[status(thm)],[93]) ).

fof(599,plain,
    ! [X3,X4] :
      ( ~ relation(X4)
      | relation(relation_rng_restriction(X3,X4)) ),
    inference(variable_rename,[status(thm)],[598]) ).

cnf(600,plain,
    ( relation(relation_rng_restriction(X1,X2))
    | ~ relation(X2) ),
    inference(split_conjunct,[status(thm)],[599]) ).

fof(608,negated_conjecture,
    ? [X1,X2] :
      ( relation(X2)
      & ~ subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ),
    inference(fof_nnf,[status(thm)],[194]) ).

fof(609,negated_conjecture,
    ? [X3,X4] :
      ( relation(X4)
      & ~ subset(relation_rng(relation_rng_restriction(X3,X4)),relation_rng(X4)) ),
    inference(variable_rename,[status(thm)],[608]) ).

fof(610,negated_conjecture,
    ( relation(esk32_0)
    & ~ subset(relation_rng(relation_rng_restriction(esk31_0,esk32_0)),relation_rng(esk32_0)) ),
    inference(skolemize,[status(esa)],[609]) ).

cnf(611,negated_conjecture,
    ~ subset(relation_rng(relation_rng_restriction(esk31_0,esk32_0)),relation_rng(esk32_0)),
    inference(split_conjunct,[status(thm)],[610]) ).

cnf(612,negated_conjecture,
    relation(esk32_0),
    inference(split_conjunct,[status(thm)],[610]) ).

fof(965,plain,
    ! [X1] :
      ( ~ relation(X1)
      | ! [X2] :
          ( ~ relation(X2)
          | ~ subset(X1,X2)
          | ( subset(relation_dom(X1),relation_dom(X2))
            & subset(relation_rng(X1),relation_rng(X2)) ) ) ),
    inference(fof_nnf,[status(thm)],[186]) ).

fof(966,plain,
    ! [X3] :
      ( ~ relation(X3)
      | ! [X4] :
          ( ~ relation(X4)
          | ~ subset(X3,X4)
          | ( subset(relation_dom(X3),relation_dom(X4))
            & subset(relation_rng(X3),relation_rng(X4)) ) ) ),
    inference(variable_rename,[status(thm)],[965]) ).

fof(967,plain,
    ! [X3,X4] :
      ( ~ relation(X4)
      | ~ subset(X3,X4)
      | ( subset(relation_dom(X3),relation_dom(X4))
        & subset(relation_rng(X3),relation_rng(X4)) )
      | ~ relation(X3) ),
    inference(shift_quantors,[status(thm)],[966]) ).

fof(968,plain,
    ! [X3,X4] :
      ( ( subset(relation_dom(X3),relation_dom(X4))
        | ~ subset(X3,X4)
        | ~ relation(X4)
        | ~ relation(X3) )
      & ( subset(relation_rng(X3),relation_rng(X4))
        | ~ subset(X3,X4)
        | ~ relation(X4)
        | ~ relation(X3) ) ),
    inference(distribute,[status(thm)],[967]) ).

cnf(969,plain,
    ( subset(relation_rng(X1),relation_rng(X2))
    | ~ relation(X1)
    | ~ relation(X2)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[968]) ).

cnf(1285,plain,
    ( ~ subset(relation_rng_restriction(esk31_0,esk32_0),esk32_0)
    | ~ relation(esk32_0)
    | ~ relation(relation_rng_restriction(esk31_0,esk32_0)) ),
    inference(spm,[status(thm)],[611,969,theory(equality)]) ).

cnf(1300,plain,
    ( ~ subset(relation_rng_restriction(esk31_0,esk32_0),esk32_0)
    | $false
    | ~ relation(relation_rng_restriction(esk31_0,esk32_0)) ),
    inference(rw,[status(thm)],[1285,612,theory(equality)]) ).

cnf(1301,plain,
    ( ~ subset(relation_rng_restriction(esk31_0,esk32_0),esk32_0)
    | ~ relation(relation_rng_restriction(esk31_0,esk32_0)) ),
    inference(cn,[status(thm)],[1300,theory(equality)]) ).

cnf(6082,plain,
    ( ~ relation(relation_rng_restriction(esk31_0,esk32_0))
    | ~ relation(esk32_0) ),
    inference(spm,[status(thm)],[1301,479,theory(equality)]) ).

cnf(6086,plain,
    ( ~ relation(relation_rng_restriction(esk31_0,esk32_0))
    | $false ),
    inference(rw,[status(thm)],[6082,612,theory(equality)]) ).

cnf(6087,plain,
    ~ relation(relation_rng_restriction(esk31_0,esk32_0)),
    inference(cn,[status(thm)],[6086,theory(equality)]) ).

cnf(6088,plain,
    ~ relation(esk32_0),
    inference(spm,[status(thm)],[6087,600,theory(equality)]) ).

cnf(6092,plain,
    $false,
    inference(rw,[status(thm)],[6088,612,theory(equality)]) ).

cnf(6093,plain,
    $false,
    inference(cn,[status(thm)],[6092,theory(equality)]) ).

cnf(6094,plain,
    $false,
    6093,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU200+2.p
% --creating new selector for []
% -running prover on /tmp/tmp59G5zx/sel_SEU200+2.p_1 with time limit 29
% -prover status Theorem
% Problem SEU200+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU200+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU200+2.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------