%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SEU010+1 : TPTP v5.0.0. Released v3.2.0.
% 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 04:06:32 EST 2010

% Result   : Theorem 0.18s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   27 (   9 unt;   0 def)
%            Number of atoms       :   63 (  25 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   64 (  28   ~;  20   |;  10   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   27 (   2 sgn  18   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(10,axiom,
    ! [X1,X2] : subset(X1,X1),
    file('/tmp/tmpLa-vOK/sel_SEU010+1.p_1',reflexivity_r1_tarski) ).

fof(20,conjecture,
    ! [X1] :
      ( ( relation(X1)
        & function(X1) )
     => ( relation_composition(identity_relation(relation_dom(X1)),X1) = X1
        & relation_composition(X1,identity_relation(relation_rng(X1))) = X1 ) ),
    file('/tmp/tmpLa-vOK/sel_SEU010+1.p_1',t42_funct_1) ).

fof(27,axiom,
    ! [X1,X2] :
      ( relation(X2)
     => ( subset(relation_dom(X2),X1)
       => relation_composition(identity_relation(X1),X2) = X2 ) ),
    file('/tmp/tmpLa-vOK/sel_SEU010+1.p_1',t77_relat_1) ).

fof(33,axiom,
    ! [X1,X2] :
      ( relation(X2)
     => ( subset(relation_rng(X2),X1)
       => relation_composition(X2,identity_relation(X1)) = X2 ) ),
    file('/tmp/tmpLa-vOK/sel_SEU010+1.p_1',t79_relat_1) ).

fof(39,negated_conjecture,
    ~ ! [X1] :
        ( ( relation(X1)
          & function(X1) )
       => ( relation_composition(identity_relation(relation_dom(X1)),X1) = X1
          & relation_composition(X1,identity_relation(relation_rng(X1))) = X1 ) ),
    inference(assume_negation,[status(cth)],[20]) ).

fof(79,plain,
    ! [X3,X4] : subset(X3,X3),
    inference(variable_rename,[status(thm)],[10]) ).

cnf(80,plain,
    subset(X1,X1),
    inference(split_conjunct,[status(thm)],[79]) ).

fof(108,negated_conjecture,
    ? [X1] :
      ( relation(X1)
      & function(X1)
      & ( relation_composition(identity_relation(relation_dom(X1)),X1) != X1
        | relation_composition(X1,identity_relation(relation_rng(X1))) != X1 ) ),
    inference(fof_nnf,[status(thm)],[39]) ).

fof(109,negated_conjecture,
    ? [X2] :
      ( relation(X2)
      & function(X2)
      & ( relation_composition(identity_relation(relation_dom(X2)),X2) != X2
        | relation_composition(X2,identity_relation(relation_rng(X2))) != X2 ) ),
    inference(variable_rename,[status(thm)],[108]) ).

fof(110,negated_conjecture,
    ( relation(esk5_0)
    & function(esk5_0)
    & ( relation_composition(identity_relation(relation_dom(esk5_0)),esk5_0) != esk5_0
      | relation_composition(esk5_0,identity_relation(relation_rng(esk5_0))) != esk5_0 ) ),
    inference(skolemize,[status(esa)],[109]) ).

cnf(111,negated_conjecture,
    ( relation_composition(esk5_0,identity_relation(relation_rng(esk5_0))) != esk5_0
    | relation_composition(identity_relation(relation_dom(esk5_0)),esk5_0) != esk5_0 ),
    inference(split_conjunct,[status(thm)],[110]) ).

cnf(113,negated_conjecture,
    relation(esk5_0),
    inference(split_conjunct,[status(thm)],[110]) ).

fof(139,plain,
    ! [X1,X2] :
      ( ~ relation(X2)
      | ~ subset(relation_dom(X2),X1)
      | relation_composition(identity_relation(X1),X2) = X2 ),
    inference(fof_nnf,[status(thm)],[27]) ).

fof(140,plain,
    ! [X3,X4] :
      ( ~ relation(X4)
      | ~ subset(relation_dom(X4),X3)
      | relation_composition(identity_relation(X3),X4) = X4 ),
    inference(variable_rename,[status(thm)],[139]) ).

cnf(141,plain,
    ( relation_composition(identity_relation(X1),X2) = X2
    | ~ subset(relation_dom(X2),X1)
    | ~ relation(X2) ),
    inference(split_conjunct,[status(thm)],[140]) ).

fof(158,plain,
    ! [X1,X2] :
      ( ~ relation(X2)
      | ~ subset(relation_rng(X2),X1)
      | relation_composition(X2,identity_relation(X1)) = X2 ),
    inference(fof_nnf,[status(thm)],[33]) ).

fof(159,plain,
    ! [X3,X4] :
      ( ~ relation(X4)
      | ~ subset(relation_rng(X4),X3)
      | relation_composition(X4,identity_relation(X3)) = X4 ),
    inference(variable_rename,[status(thm)],[158]) ).

cnf(160,plain,
    ( relation_composition(X1,identity_relation(X2)) = X1
    | ~ subset(relation_rng(X1),X2)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[159]) ).

cnf(203,plain,
    ( relation_composition(X1,identity_relation(relation_rng(X1))) = X1
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[160,80,theory(equality)]) ).

cnf(204,plain,
    ( relation_composition(identity_relation(relation_dom(X1)),X1) = X1
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[141,80,theory(equality)]) ).

cnf(295,negated_conjecture,
    ( relation_composition(esk5_0,identity_relation(relation_rng(esk5_0))) != esk5_0
    | ~ relation(esk5_0) ),
    inference(spm,[status(thm)],[111,204,theory(equality)]) ).

cnf(306,negated_conjecture,
    ( relation_composition(esk5_0,identity_relation(relation_rng(esk5_0))) != esk5_0
    | $false ),
    inference(rw,[status(thm)],[295,113,theory(equality)]) ).

cnf(307,negated_conjecture,
    relation_composition(esk5_0,identity_relation(relation_rng(esk5_0))) != esk5_0,
    inference(cn,[status(thm)],[306,theory(equality)]) ).

cnf(315,negated_conjecture,
    ~ relation(esk5_0),
    inference(spm,[status(thm)],[307,203,theory(equality)]) ).

cnf(316,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[315,113,theory(equality)]) ).

cnf(317,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[316,theory(equality)]) ).

cnf(318,negated_conjecture,
    $false,
    317,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU010+1.p
% --creating new selector for []
% -running prover on /tmp/tmpLa-vOK/sel_SEU010+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU010+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU010+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU010+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
% 
%------------------------------------------------------------------------------