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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : MGT002+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 21:07:10 EST 2010

% Result   : Theorem 0.21s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   55 (  11 unt;   0 def)
%            Number of atoms       :  290 (   0 equ)
%            Maximal formula atoms :   20 (   5 avg)
%            Number of connectives :  411 ( 176   ~; 181   |;  47   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :  171 (   2 sgn  77   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( organization(X1,X3)
        & organization(X2,X4)
        & reorganization_free(X1,X3,X3)
        & reorganization_free(X2,X4,X4)
        & reproducibility(X1,X5,X3)
        & reproducibility(X2,X6,X4)
        & inertia(X1,X7,X3)
        & inertia(X2,X8,X4) )
     => ( greater(X6,X5)
      <=> greater(X8,X7) ) ),
    file('/tmp/tmpgAVf9f/sel_MGT002+1.p_1',a3_FOL) ).

fof(2,axiom,
    ! [X1,X3,X4] :
      ( reorganization_free(X1,X3,X4)
     => ( reorganization_free(X1,X3,X3)
        & reorganization_free(X1,X4,X4) ) ),
    file('/tmp/tmpgAVf9f/sel_MGT002+1.p_1',mp4) ).

fof(3,axiom,
    ! [X1,X9] :
      ( organization(X1,X9)
     => ? [X10] : reproducibility(X1,X10,X9) ),
    file('/tmp/tmpgAVf9f/sel_MGT002+1.p_1',mp3) ).

fof(4,conjecture,
    ! [X1,X7,X8,X3,X4] :
      ( ( organization(X1,X3)
        & organization(X1,X4)
        & reorganization_free(X1,X3,X4)
        & inertia(X1,X7,X3)
        & inertia(X1,X8,X4)
        & greater(X4,X3) )
     => greater(X8,X7) ),
    file('/tmp/tmpgAVf9f/sel_MGT002+1.p_1',t2_FOL) ).

fof(5,axiom,
    ! [X1,X5,X6,X3,X4] :
      ( ( organization(X1,X3)
        & organization(X1,X4)
        & reorganization_free(X1,X3,X4)
        & reproducibility(X1,X5,X3)
        & reproducibility(X1,X6,X4)
        & greater(X4,X3) )
     => greater(X6,X5) ),
    file('/tmp/tmpgAVf9f/sel_MGT002+1.p_1',a4_FOL) ).

fof(6,negated_conjecture,
    ~ ! [X1,X7,X8,X3,X4] :
        ( ( organization(X1,X3)
          & organization(X1,X4)
          & reorganization_free(X1,X3,X4)
          & inertia(X1,X7,X3)
          & inertia(X1,X8,X4)
          & greater(X4,X3) )
       => greater(X8,X7) ),
    inference(assume_negation,[status(cth)],[4]) ).

fof(7,plain,
    ! [X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ organization(X1,X3)
      | ~ organization(X2,X4)
      | ~ reorganization_free(X1,X3,X3)
      | ~ reorganization_free(X2,X4,X4)
      | ~ reproducibility(X1,X5,X3)
      | ~ reproducibility(X2,X6,X4)
      | ~ inertia(X1,X7,X3)
      | ~ inertia(X2,X8,X4)
      | ( ( ~ greater(X6,X5)
          | greater(X8,X7) )
        & ( ~ greater(X8,X7)
          | greater(X6,X5) ) ) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(8,plain,
    ! [X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ~ organization(X9,X11)
      | ~ organization(X10,X12)
      | ~ reorganization_free(X9,X11,X11)
      | ~ reorganization_free(X10,X12,X12)
      | ~ reproducibility(X9,X13,X11)
      | ~ reproducibility(X10,X14,X12)
      | ~ inertia(X9,X15,X11)
      | ~ inertia(X10,X16,X12)
      | ( ( ~ greater(X14,X13)
          | greater(X16,X15) )
        & ( ~ greater(X16,X15)
          | greater(X14,X13) ) ) ),
    inference(variable_rename,[status(thm)],[7]) ).

fof(9,plain,
    ! [X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ( ~ greater(X14,X13)
        | greater(X16,X15)
        | ~ organization(X9,X11)
        | ~ organization(X10,X12)
        | ~ reorganization_free(X9,X11,X11)
        | ~ reorganization_free(X10,X12,X12)
        | ~ reproducibility(X9,X13,X11)
        | ~ reproducibility(X10,X14,X12)
        | ~ inertia(X9,X15,X11)
        | ~ inertia(X10,X16,X12) )
      & ( ~ greater(X16,X15)
        | greater(X14,X13)
        | ~ organization(X9,X11)
        | ~ organization(X10,X12)
        | ~ reorganization_free(X9,X11,X11)
        | ~ reorganization_free(X10,X12,X12)
        | ~ reproducibility(X9,X13,X11)
        | ~ reproducibility(X10,X14,X12)
        | ~ inertia(X9,X15,X11)
        | ~ inertia(X10,X16,X12) ) ),
    inference(distribute,[status(thm)],[8]) ).

cnf(11,plain,
    ( greater(X2,X5)
    | ~ inertia(X1,X2,X3)
    | ~ inertia(X4,X5,X6)
    | ~ reproducibility(X1,X7,X3)
    | ~ reproducibility(X4,X8,X6)
    | ~ reorganization_free(X1,X3,X3)
    | ~ reorganization_free(X4,X6,X6)
    | ~ organization(X1,X3)
    | ~ organization(X4,X6)
    | ~ greater(X7,X8) ),
    inference(split_conjunct,[status(thm)],[9]) ).

fof(12,plain,
    ! [X1,X3,X4] :
      ( ~ reorganization_free(X1,X3,X4)
      | ( reorganization_free(X1,X3,X3)
        & reorganization_free(X1,X4,X4) ) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(13,plain,
    ! [X5,X6,X7] :
      ( ~ reorganization_free(X5,X6,X7)
      | ( reorganization_free(X5,X6,X6)
        & reorganization_free(X5,X7,X7) ) ),
    inference(variable_rename,[status(thm)],[12]) ).

fof(14,plain,
    ! [X5,X6,X7] :
      ( ( reorganization_free(X5,X6,X6)
        | ~ reorganization_free(X5,X6,X7) )
      & ( reorganization_free(X5,X7,X7)
        | ~ reorganization_free(X5,X6,X7) ) ),
    inference(distribute,[status(thm)],[13]) ).

cnf(15,plain,
    ( reorganization_free(X1,X3,X3)
    | ~ reorganization_free(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[14]) ).

cnf(16,plain,
    ( reorganization_free(X1,X2,X2)
    | ~ reorganization_free(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[14]) ).

fof(17,plain,
    ! [X1,X9] :
      ( ~ organization(X1,X9)
      | ? [X10] : reproducibility(X1,X10,X9) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(18,plain,
    ! [X11,X12] :
      ( ~ organization(X11,X12)
      | ? [X13] : reproducibility(X11,X13,X12) ),
    inference(variable_rename,[status(thm)],[17]) ).

fof(19,plain,
    ! [X11,X12] :
      ( ~ organization(X11,X12)
      | reproducibility(X11,esk1_2(X11,X12),X12) ),
    inference(skolemize,[status(esa)],[18]) ).

cnf(20,plain,
    ( reproducibility(X1,esk1_2(X1,X2),X2)
    | ~ organization(X1,X2) ),
    inference(split_conjunct,[status(thm)],[19]) ).

fof(21,negated_conjecture,
    ? [X1,X7,X8,X3,X4] :
      ( organization(X1,X3)
      & organization(X1,X4)
      & reorganization_free(X1,X3,X4)
      & inertia(X1,X7,X3)
      & inertia(X1,X8,X4)
      & greater(X4,X3)
      & ~ greater(X8,X7) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(22,negated_conjecture,
    ? [X9,X10,X11,X12,X13] :
      ( organization(X9,X12)
      & organization(X9,X13)
      & reorganization_free(X9,X12,X13)
      & inertia(X9,X10,X12)
      & inertia(X9,X11,X13)
      & greater(X13,X12)
      & ~ greater(X11,X10) ),
    inference(variable_rename,[status(thm)],[21]) ).

fof(23,negated_conjecture,
    ( organization(esk2_0,esk5_0)
    & organization(esk2_0,esk6_0)
    & reorganization_free(esk2_0,esk5_0,esk6_0)
    & inertia(esk2_0,esk3_0,esk5_0)
    & inertia(esk2_0,esk4_0,esk6_0)
    & greater(esk6_0,esk5_0)
    & ~ greater(esk4_0,esk3_0) ),
    inference(skolemize,[status(esa)],[22]) ).

cnf(24,negated_conjecture,
    ~ greater(esk4_0,esk3_0),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(25,negated_conjecture,
    greater(esk6_0,esk5_0),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(26,negated_conjecture,
    inertia(esk2_0,esk4_0,esk6_0),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(27,negated_conjecture,
    inertia(esk2_0,esk3_0,esk5_0),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(28,negated_conjecture,
    reorganization_free(esk2_0,esk5_0,esk6_0),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(29,negated_conjecture,
    organization(esk2_0,esk6_0),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(30,negated_conjecture,
    organization(esk2_0,esk5_0),
    inference(split_conjunct,[status(thm)],[23]) ).

fof(31,plain,
    ! [X1,X5,X6,X3,X4] :
      ( ~ organization(X1,X3)
      | ~ organization(X1,X4)
      | ~ reorganization_free(X1,X3,X4)
      | ~ reproducibility(X1,X5,X3)
      | ~ reproducibility(X1,X6,X4)
      | ~ greater(X4,X3)
      | greater(X6,X5) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(32,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ~ organization(X7,X10)
      | ~ organization(X7,X11)
      | ~ reorganization_free(X7,X10,X11)
      | ~ reproducibility(X7,X8,X10)
      | ~ reproducibility(X7,X9,X11)
      | ~ greater(X11,X10)
      | greater(X9,X8) ),
    inference(variable_rename,[status(thm)],[31]) ).

cnf(33,plain,
    ( greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ reproducibility(X5,X1,X3)
    | ~ reproducibility(X5,X2,X4)
    | ~ reorganization_free(X5,X4,X3)
    | ~ organization(X5,X3)
    | ~ organization(X5,X4) ),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(35,negated_conjecture,
    reorganization_free(esk2_0,esk5_0,esk5_0),
    inference(spm,[status(thm)],[16,28,theory(equality)]) ).

cnf(36,plain,
    ( greater(X1,esk1_2(X2,X3))
    | ~ greater(X4,X3)
    | ~ reproducibility(X2,X1,X4)
    | ~ reorganization_free(X2,X3,X4)
    | ~ organization(X2,X3)
    | ~ organization(X2,X4) ),
    inference(spm,[status(thm)],[33,20,theory(equality)]) ).

cnf(43,negated_conjecture,
    ( greater(X1,esk3_0)
    | ~ greater(X2,X3)
    | ~ inertia(X4,X1,X5)
    | ~ reproducibility(esk2_0,X3,esk5_0)
    | ~ reproducibility(X4,X2,X5)
    | ~ reorganization_free(esk2_0,esk5_0,esk5_0)
    | ~ reorganization_free(X4,X5,X5)
    | ~ organization(esk2_0,esk5_0)
    | ~ organization(X4,X5) ),
    inference(spm,[status(thm)],[11,27,theory(equality)]) ).

cnf(45,negated_conjecture,
    ( greater(X1,esk3_0)
    | ~ greater(X2,X3)
    | ~ inertia(X4,X1,X5)
    | ~ reproducibility(esk2_0,X3,esk5_0)
    | ~ reproducibility(X4,X2,X5)
    | ~ reorganization_free(esk2_0,esk5_0,esk5_0)
    | ~ reorganization_free(X4,X5,X5)
    | $false
    | ~ organization(X4,X5) ),
    inference(rw,[status(thm)],[43,30,theory(equality)]) ).

cnf(46,negated_conjecture,
    ( greater(X1,esk3_0)
    | ~ greater(X2,X3)
    | ~ inertia(X4,X1,X5)
    | ~ reproducibility(esk2_0,X3,esk5_0)
    | ~ reproducibility(X4,X2,X5)
    | ~ reorganization_free(esk2_0,esk5_0,esk5_0)
    | ~ reorganization_free(X4,X5,X5)
    | ~ organization(X4,X5) ),
    inference(cn,[status(thm)],[45,theory(equality)]) ).

cnf(57,plain,
    ( greater(esk1_2(X1,X2),esk1_2(X1,X3))
    | ~ greater(X2,X3)
    | ~ reorganization_free(X1,X3,X2)
    | ~ organization(X1,X3)
    | ~ organization(X1,X2) ),
    inference(spm,[status(thm)],[36,20,theory(equality)]) ).

cnf(84,negated_conjecture,
    ( greater(X1,esk3_0)
    | ~ greater(X2,X3)
    | ~ inertia(X4,X1,X5)
    | ~ reproducibility(esk2_0,X3,esk5_0)
    | ~ reproducibility(X4,X2,X5)
    | $false
    | ~ reorganization_free(X4,X5,X5)
    | ~ organization(X4,X5) ),
    inference(rw,[status(thm)],[46,35,theory(equality)]) ).

cnf(85,negated_conjecture,
    ( greater(X1,esk3_0)
    | ~ greater(X2,X3)
    | ~ inertia(X4,X1,X5)
    | ~ reproducibility(esk2_0,X3,esk5_0)
    | ~ reproducibility(X4,X2,X5)
    | ~ reorganization_free(X4,X5,X5)
    | ~ organization(X4,X5) ),
    inference(cn,[status(thm)],[84,theory(equality)]) ).

cnf(86,negated_conjecture,
    ( greater(X1,esk3_0)
    | ~ greater(X2,esk1_2(esk2_0,esk5_0))
    | ~ inertia(X3,X1,X4)
    | ~ reproducibility(X3,X2,X4)
    | ~ reorganization_free(X3,X4,X4)
    | ~ organization(X3,X4)
    | ~ organization(esk2_0,esk5_0) ),
    inference(spm,[status(thm)],[85,20,theory(equality)]) ).

cnf(87,negated_conjecture,
    ( greater(X1,esk3_0)
    | ~ greater(X2,esk1_2(esk2_0,esk5_0))
    | ~ inertia(X3,X1,X4)
    | ~ reproducibility(X3,X2,X4)
    | ~ reorganization_free(X3,X4,X4)
    | ~ organization(X3,X4)
    | $false ),
    inference(rw,[status(thm)],[86,30,theory(equality)]) ).

cnf(88,negated_conjecture,
    ( greater(X1,esk3_0)
    | ~ greater(X2,esk1_2(esk2_0,esk5_0))
    | ~ inertia(X3,X1,X4)
    | ~ reproducibility(X3,X2,X4)
    | ~ reorganization_free(X3,X4,X4)
    | ~ organization(X3,X4) ),
    inference(cn,[status(thm)],[87,theory(equality)]) ).

cnf(94,plain,
    ( greater(X1,esk3_0)
    | ~ inertia(X3,X1,X4)
    | ~ reproducibility(X3,esk1_2(esk2_0,X2),X4)
    | ~ reorganization_free(X3,X4,X4)
    | ~ organization(X3,X4)
    | ~ greater(X2,esk5_0)
    | ~ reorganization_free(esk2_0,esk5_0,X2)
    | ~ organization(esk2_0,esk5_0)
    | ~ organization(esk2_0,X2) ),
    inference(spm,[status(thm)],[88,57,theory(equality)]) ).

cnf(96,plain,
    ( greater(X1,esk3_0)
    | ~ inertia(X3,X1,X4)
    | ~ reproducibility(X3,esk1_2(esk2_0,X2),X4)
    | ~ reorganization_free(X3,X4,X4)
    | ~ organization(X3,X4)
    | ~ greater(X2,esk5_0)
    | ~ reorganization_free(esk2_0,esk5_0,X2)
    | $false
    | ~ organization(esk2_0,X2) ),
    inference(rw,[status(thm)],[94,30,theory(equality)]) ).

cnf(97,plain,
    ( greater(X1,esk3_0)
    | ~ inertia(X3,X1,X4)
    | ~ reproducibility(X3,esk1_2(esk2_0,X2),X4)
    | ~ reorganization_free(X3,X4,X4)
    | ~ organization(X3,X4)
    | ~ greater(X2,esk5_0)
    | ~ reorganization_free(esk2_0,esk5_0,X2)
    | ~ organization(esk2_0,X2) ),
    inference(cn,[status(thm)],[96,theory(equality)]) ).

cnf(119,plain,
    ( greater(X1,esk3_0)
    | ~ greater(X2,esk5_0)
    | ~ inertia(esk2_0,X1,X2)
    | ~ reorganization_free(esk2_0,esk5_0,X2)
    | ~ reorganization_free(esk2_0,X2,X2)
    | ~ organization(esk2_0,X2) ),
    inference(spm,[status(thm)],[97,20,theory(equality)]) ).

cnf(120,plain,
    ( greater(X1,esk3_0)
    | ~ greater(X2,esk5_0)
    | ~ inertia(esk2_0,X1,X2)
    | ~ reorganization_free(esk2_0,esk5_0,X2)
    | ~ organization(esk2_0,X2) ),
    inference(csr,[status(thm)],[119,15]) ).

cnf(122,negated_conjecture,
    ( greater(esk4_0,esk3_0)
    | ~ greater(esk6_0,esk5_0)
    | ~ reorganization_free(esk2_0,esk5_0,esk6_0)
    | ~ organization(esk2_0,esk6_0) ),
    inference(spm,[status(thm)],[120,26,theory(equality)]) ).

cnf(126,negated_conjecture,
    ( greater(esk4_0,esk3_0)
    | $false
    | ~ reorganization_free(esk2_0,esk5_0,esk6_0)
    | ~ organization(esk2_0,esk6_0) ),
    inference(rw,[status(thm)],[122,25,theory(equality)]) ).

cnf(127,negated_conjecture,
    ( greater(esk4_0,esk3_0)
    | $false
    | $false
    | ~ organization(esk2_0,esk6_0) ),
    inference(rw,[status(thm)],[126,28,theory(equality)]) ).

cnf(128,negated_conjecture,
    ( greater(esk4_0,esk3_0)
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[127,29,theory(equality)]) ).

cnf(129,negated_conjecture,
    greater(esk4_0,esk3_0),
    inference(cn,[status(thm)],[128,theory(equality)]) ).

cnf(130,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[129,24,theory(equality)]) ).

cnf(131,negated_conjecture,
    $false,
    130,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
%   from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT002+1.p
% --creating new selector for []
% -running prover on /tmp/tmpgAVf9f/sel_MGT002+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT002+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT002+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT002+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
% 
%------------------------------------------------------------------------------