%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SEU248+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.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 06:14:30 EST 2010

% Result   : Theorem 1.34s
% Output   : CNFRefutation 1.34s
% 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(111,conjecture,
    ! [X1,X2] :
      ( relation(X2)
     => subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ),
    file('/tmp/tmpv_fQwk/sel_SEU248+2.p_1',l29_wellord1) ).

fof(112,axiom,
    ! [X1,X2] :
      ( relation(X2)
     => subset(relation_rng_restriction(X1,X2),X2) ),
    file('/tmp/tmpv_fQwk/sel_SEU248+2.p_1',t117_relat_1) ).

fof(148,axiom,
    ! [X1,X2] :
      ( relation(X2)
     => relation(relation_rng_restriction(X1,X2)) ),
    file('/tmp/tmpv_fQwk/sel_SEU248+2.p_1',dt_k8_relat_1) ).

fof(292,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/tmpv_fQwk/sel_SEU248+2.p_1',t25_relat_1) ).

fof(307,negated_conjecture,
    ~ ! [X1,X2] :
        ( relation(X2)
       => subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ),
    inference(assume_negation,[status(cth)],[111]) ).

fof(818,negated_conjecture,
    ? [X1,X2] :
      ( relation(X2)
      & ~ subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ),
    inference(fof_nnf,[status(thm)],[307]) ).

fof(819,negated_conjecture,
    ? [X3,X4] :
      ( relation(X4)
      & ~ subset(relation_dom(relation_rng_restriction(X3,X4)),relation_dom(X4)) ),
    inference(variable_rename,[status(thm)],[818]) ).

fof(820,negated_conjecture,
    ( relation(esk37_0)
    & ~ subset(relation_dom(relation_rng_restriction(esk36_0,esk37_0)),relation_dom(esk37_0)) ),
    inference(skolemize,[status(esa)],[819]) ).

cnf(821,negated_conjecture,
    ~ subset(relation_dom(relation_rng_restriction(esk36_0,esk37_0)),relation_dom(esk37_0)),
    inference(split_conjunct,[status(thm)],[820]) ).

cnf(822,negated_conjecture,
    relation(esk37_0),
    inference(split_conjunct,[status(thm)],[820]) ).

fof(823,plain,
    ! [X1,X2] :
      ( ~ relation(X2)
      | subset(relation_rng_restriction(X1,X2),X2) ),
    inference(fof_nnf,[status(thm)],[112]) ).

fof(824,plain,
    ! [X3,X4] :
      ( ~ relation(X4)
      | subset(relation_rng_restriction(X3,X4),X4) ),
    inference(variable_rename,[status(thm)],[823]) ).

cnf(825,plain,
    ( subset(relation_rng_restriction(X1,X2),X2)
    | ~ relation(X2) ),
    inference(split_conjunct,[status(thm)],[824]) ).

fof(991,plain,
    ! [X1,X2] :
      ( ~ relation(X2)
      | relation(relation_rng_restriction(X1,X2)) ),
    inference(fof_nnf,[status(thm)],[148]) ).

fof(992,plain,
    ! [X3,X4] :
      ( ~ relation(X4)
      | relation(relation_rng_restriction(X3,X4)) ),
    inference(variable_rename,[status(thm)],[991]) ).

cnf(993,plain,
    ( relation(relation_rng_restriction(X1,X2))
    | ~ relation(X2) ),
    inference(split_conjunct,[status(thm)],[992]) ).

fof(1668,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)],[292]) ).

fof(1669,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)],[1668]) ).

fof(1670,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)],[1669]) ).

fof(1671,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)],[1670]) ).

cnf(1673,plain,
    ( subset(relation_dom(X1),relation_dom(X2))
    | ~ relation(X1)
    | ~ relation(X2)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[1671]) ).

cnf(2116,plain,
    ( ~ subset(relation_rng_restriction(esk36_0,esk37_0),esk37_0)
    | ~ relation(esk37_0)
    | ~ relation(relation_rng_restriction(esk36_0,esk37_0)) ),
    inference(spm,[status(thm)],[821,1673,theory(equality)]) ).

cnf(2129,plain,
    ( ~ subset(relation_rng_restriction(esk36_0,esk37_0),esk37_0)
    | $false
    | ~ relation(relation_rng_restriction(esk36_0,esk37_0)) ),
    inference(rw,[status(thm)],[2116,822,theory(equality)]) ).

cnf(2130,plain,
    ( ~ subset(relation_rng_restriction(esk36_0,esk37_0),esk37_0)
    | ~ relation(relation_rng_restriction(esk36_0,esk37_0)) ),
    inference(cn,[status(thm)],[2129,theory(equality)]) ).

cnf(12761,plain,
    ( ~ relation(relation_rng_restriction(esk36_0,esk37_0))
    | ~ relation(esk37_0) ),
    inference(spm,[status(thm)],[2130,825,theory(equality)]) ).

cnf(12765,plain,
    ( ~ relation(relation_rng_restriction(esk36_0,esk37_0))
    | $false ),
    inference(rw,[status(thm)],[12761,822,theory(equality)]) ).

cnf(12766,plain,
    ~ relation(relation_rng_restriction(esk36_0,esk37_0)),
    inference(cn,[status(thm)],[12765,theory(equality)]) ).

cnf(12798,plain,
    ~ relation(esk37_0),
    inference(spm,[status(thm)],[12766,993,theory(equality)]) ).

cnf(12802,plain,
    $false,
    inference(rw,[status(thm)],[12798,822,theory(equality)]) ).

cnf(12803,plain,
    $false,
    inference(cn,[status(thm)],[12802,theory(equality)]) ).

cnf(12804,plain,
    $false,
    12803,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU248+2.p
% --creating new selector for []
% -running prover on /tmp/tmpv_fQwk/sel_SEU248+2.p_1 with time limit 29
% -prover status Theorem
% Problem SEU248+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU248+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU248+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
% 
%------------------------------------------------------------------------------