%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SEU200+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art05.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 05:25:26 EST 2010

% Result   : Theorem 0.17s
% Output   : CNFRefutation 0.17s
% 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(1,axiom,
    ! [X1,X2] :
      ( relation(X2)
     => relation(relation_rng_restriction(X1,X2)) ),
    file('/tmp/tmp6pkKXt/sel_SEU200+1.p_1',dt_k8_relat_1) ).

fof(4,conjecture,
    ! [X1,X2] :
      ( relation(X2)
     => subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ),
    file('/tmp/tmp6pkKXt/sel_SEU200+1.p_1',t118_relat_1) ).

fof(9,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/tmp6pkKXt/sel_SEU200+1.p_1',t25_relat_1) ).

fof(18,axiom,
    ! [X1,X2] :
      ( relation(X2)
     => subset(relation_rng_restriction(X1,X2),X2) ),
    file('/tmp/tmp6pkKXt/sel_SEU200+1.p_1',t117_relat_1) ).

fof(35,negated_conjecture,
    ~ ! [X1,X2] :
        ( relation(X2)
       => subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ),
    inference(assume_negation,[status(cth)],[4]) ).

fof(43,plain,
    ! [X1,X2] :
      ( ~ relation(X2)
      | relation(relation_rng_restriction(X1,X2)) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(44,plain,
    ! [X3,X4] :
      ( ~ relation(X4)
      | relation(relation_rng_restriction(X3,X4)) ),
    inference(variable_rename,[status(thm)],[43]) ).

cnf(45,plain,
    ( relation(relation_rng_restriction(X1,X2))
    | ~ relation(X2) ),
    inference(split_conjunct,[status(thm)],[44]) ).

fof(52,negated_conjecture,
    ? [X1,X2] :
      ( relation(X2)
      & ~ subset(relation_rng(relation_rng_restriction(X1,X2)),relation_rng(X2)) ),
    inference(fof_nnf,[status(thm)],[35]) ).

fof(53,negated_conjecture,
    ? [X3,X4] :
      ( relation(X4)
      & ~ subset(relation_rng(relation_rng_restriction(X3,X4)),relation_rng(X4)) ),
    inference(variable_rename,[status(thm)],[52]) ).

fof(54,negated_conjecture,
    ( relation(esk3_0)
    & ~ subset(relation_rng(relation_rng_restriction(esk2_0,esk3_0)),relation_rng(esk3_0)) ),
    inference(skolemize,[status(esa)],[53]) ).

cnf(55,negated_conjecture,
    ~ subset(relation_rng(relation_rng_restriction(esk2_0,esk3_0)),relation_rng(esk3_0)),
    inference(split_conjunct,[status(thm)],[54]) ).

cnf(56,negated_conjecture,
    relation(esk3_0),
    inference(split_conjunct,[status(thm)],[54]) ).

fof(75,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)],[9]) ).

fof(76,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)],[75]) ).

fof(77,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)],[76]) ).

fof(78,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)],[77]) ).

cnf(79,plain,
    ( subset(relation_rng(X1),relation_rng(X2))
    | ~ relation(X1)
    | ~ relation(X2)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[78]) ).

fof(103,plain,
    ! [X1,X2] :
      ( ~ relation(X2)
      | subset(relation_rng_restriction(X1,X2),X2) ),
    inference(fof_nnf,[status(thm)],[18]) ).

fof(104,plain,
    ! [X3,X4] :
      ( ~ relation(X4)
      | subset(relation_rng_restriction(X3,X4),X4) ),
    inference(variable_rename,[status(thm)],[103]) ).

cnf(105,plain,
    ( subset(relation_rng_restriction(X1,X2),X2)
    | ~ relation(X2) ),
    inference(split_conjunct,[status(thm)],[104]) ).

cnf(156,negated_conjecture,
    ( ~ subset(relation_rng_restriction(esk2_0,esk3_0),esk3_0)
    | ~ relation(esk3_0)
    | ~ relation(relation_rng_restriction(esk2_0,esk3_0)) ),
    inference(spm,[status(thm)],[55,79,theory(equality)]) ).

cnf(157,negated_conjecture,
    ( ~ subset(relation_rng_restriction(esk2_0,esk3_0),esk3_0)
    | $false
    | ~ relation(relation_rng_restriction(esk2_0,esk3_0)) ),
    inference(rw,[status(thm)],[156,56,theory(equality)]) ).

cnf(158,negated_conjecture,
    ( ~ subset(relation_rng_restriction(esk2_0,esk3_0),esk3_0)
    | ~ relation(relation_rng_restriction(esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[157,theory(equality)]) ).

cnf(178,negated_conjecture,
    ( ~ relation(relation_rng_restriction(esk2_0,esk3_0))
    | ~ relation(esk3_0) ),
    inference(spm,[status(thm)],[158,105,theory(equality)]) ).

cnf(179,negated_conjecture,
    ( ~ relation(relation_rng_restriction(esk2_0,esk3_0))
    | $false ),
    inference(rw,[status(thm)],[178,56,theory(equality)]) ).

cnf(180,negated_conjecture,
    ~ relation(relation_rng_restriction(esk2_0,esk3_0)),
    inference(cn,[status(thm)],[179,theory(equality)]) ).

cnf(194,negated_conjecture,
    ~ relation(esk3_0),
    inference(spm,[status(thm)],[180,45,theory(equality)]) ).

cnf(195,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[194,56,theory(equality)]) ).

cnf(196,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[195,theory(equality)]) ).

cnf(197,negated_conjecture,
    $false,
    196,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU200+1.p
% --creating new selector for []
% -running prover on /tmp/tmp6pkKXt/sel_SEU200+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU200+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU200+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU200+1.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
% 
%------------------------------------------------------------------------------