TSTP Solution File: MGT008+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : MGT008+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art04.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 : Sat Dec 25 21:03:35 EST 2010

% Result   : Theorem 0.17s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   60 (  15 unt;   0 def)
%            Number of atoms       :  331 (   0 equ)
%            Maximal formula atoms :   12 (   5 avg)
%            Number of connectives :  457 ( 186   ~; 197   |;  69   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :  206 (   0 sgn  77   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] :
      ( organization(X1,X2)
     => ? [X3] : inertia(X1,X3,X2) ),
    file('/tmp/tmpW6Fvfn/sel_MGT008+1.p_1',mp5) ).

fof(2,conjecture,
    ! [X1,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( organization(X1,X10)
        & organization(X4,X11)
        & reorganization_free(X1,X10,X10)
        & reorganization_free(X4,X11,X11)
        & class(X1,X5,X10)
        & class(X4,X5,X11)
        & survival_chance(X1,X6,X10)
        & survival_chance(X4,X7,X11)
        & size(X1,X8,X10)
        & size(X4,X9,X11)
        & greater(X9,X8) )
     => greater(X7,X6) ),
    file('/tmp/tmpW6Fvfn/sel_MGT008+1.p_1',t8_FOL) ).

fof(3,axiom,
    ! [X1,X4,X10,X11,X12,X13,X6,X7] :
      ( ( organization(X1,X10)
        & organization(X4,X11)
        & reorganization_free(X1,X10,X10)
        & reorganization_free(X4,X11,X11)
        & inertia(X1,X12,X10)
        & inertia(X4,X13,X11)
        & survival_chance(X1,X6,X10)
        & survival_chance(X4,X7,X11)
        & greater(X13,X12) )
     => greater(X7,X6) ),
    file('/tmp/tmpW6Fvfn/sel_MGT008+1.p_1',t1_FOL) ).

fof(4,axiom,
    ! [X1,X4,X5,X8,X9,X12,X13,X10,X11] :
      ( ( organization(X1,X10)
        & organization(X4,X11)
        & class(X1,X5,X10)
        & class(X4,X5,X11)
        & size(X1,X8,X10)
        & size(X4,X9,X11)
        & inertia(X1,X12,X10)
        & inertia(X4,X13,X11)
        & greater(X9,X8) )
     => greater(X13,X12) ),
    file('/tmp/tmpW6Fvfn/sel_MGT008+1.p_1',a5_FOL) ).

fof(5,negated_conjecture,
    ~ ! [X1,X4,X5,X6,X7,X8,X9,X10,X11] :
        ( ( organization(X1,X10)
          & organization(X4,X11)
          & reorganization_free(X1,X10,X10)
          & reorganization_free(X4,X11,X11)
          & class(X1,X5,X10)
          & class(X4,X5,X11)
          & survival_chance(X1,X6,X10)
          & survival_chance(X4,X7,X11)
          & size(X1,X8,X10)
          & size(X4,X9,X11)
          & greater(X9,X8) )
       => greater(X7,X6) ),
    inference(assume_negation,[status(cth)],[2]) ).

fof(6,plain,
    ! [X1,X2] :
      ( ~ organization(X1,X2)
      | ? [X3] : inertia(X1,X3,X2) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(7,plain,
    ! [X4,X5] :
      ( ~ organization(X4,X5)
      | ? [X6] : inertia(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[6]) ).

fof(8,plain,
    ! [X4,X5] :
      ( ~ organization(X4,X5)
      | inertia(X4,esk1_2(X4,X5),X5) ),
    inference(skolemize,[status(esa)],[7]) ).

cnf(9,plain,
    ( inertia(X1,esk1_2(X1,X2),X2)
    | ~ organization(X1,X2) ),
    inference(split_conjunct,[status(thm)],[8]) ).

fof(10,negated_conjecture,
    ? [X1,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( organization(X1,X10)
      & organization(X4,X11)
      & reorganization_free(X1,X10,X10)
      & reorganization_free(X4,X11,X11)
      & class(X1,X5,X10)
      & class(X4,X5,X11)
      & survival_chance(X1,X6,X10)
      & survival_chance(X4,X7,X11)
      & size(X1,X8,X10)
      & size(X4,X9,X11)
      & greater(X9,X8)
      & ~ greater(X7,X6) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(11,negated_conjecture,
    ? [X12,X13,X14,X15,X16,X17,X18,X19,X20] :
      ( organization(X12,X19)
      & organization(X13,X20)
      & reorganization_free(X12,X19,X19)
      & reorganization_free(X13,X20,X20)
      & class(X12,X14,X19)
      & class(X13,X14,X20)
      & survival_chance(X12,X15,X19)
      & survival_chance(X13,X16,X20)
      & size(X12,X17,X19)
      & size(X13,X18,X20)
      & greater(X18,X17)
      & ~ greater(X16,X15) ),
    inference(variable_rename,[status(thm)],[10]) ).

fof(12,negated_conjecture,
    ( organization(esk2_0,esk9_0)
    & organization(esk3_0,esk10_0)
    & reorganization_free(esk2_0,esk9_0,esk9_0)
    & reorganization_free(esk3_0,esk10_0,esk10_0)
    & class(esk2_0,esk4_0,esk9_0)
    & class(esk3_0,esk4_0,esk10_0)
    & survival_chance(esk2_0,esk5_0,esk9_0)
    & survival_chance(esk3_0,esk6_0,esk10_0)
    & size(esk2_0,esk7_0,esk9_0)
    & size(esk3_0,esk8_0,esk10_0)
    & greater(esk8_0,esk7_0)
    & ~ greater(esk6_0,esk5_0) ),
    inference(skolemize,[status(esa)],[11]) ).

cnf(13,negated_conjecture,
    ~ greater(esk6_0,esk5_0),
    inference(split_conjunct,[status(thm)],[12]) ).

cnf(14,negated_conjecture,
    greater(esk8_0,esk7_0),
    inference(split_conjunct,[status(thm)],[12]) ).

cnf(15,negated_conjecture,
    size(esk3_0,esk8_0,esk10_0),
    inference(split_conjunct,[status(thm)],[12]) ).

cnf(16,negated_conjecture,
    size(esk2_0,esk7_0,esk9_0),
    inference(split_conjunct,[status(thm)],[12]) ).

cnf(17,negated_conjecture,
    survival_chance(esk3_0,esk6_0,esk10_0),
    inference(split_conjunct,[status(thm)],[12]) ).

cnf(18,negated_conjecture,
    survival_chance(esk2_0,esk5_0,esk9_0),
    inference(split_conjunct,[status(thm)],[12]) ).

cnf(19,negated_conjecture,
    class(esk3_0,esk4_0,esk10_0),
    inference(split_conjunct,[status(thm)],[12]) ).

cnf(20,negated_conjecture,
    class(esk2_0,esk4_0,esk9_0),
    inference(split_conjunct,[status(thm)],[12]) ).

cnf(21,negated_conjecture,
    reorganization_free(esk3_0,esk10_0,esk10_0),
    inference(split_conjunct,[status(thm)],[12]) ).

cnf(22,negated_conjecture,
    reorganization_free(esk2_0,esk9_0,esk9_0),
    inference(split_conjunct,[status(thm)],[12]) ).

cnf(23,negated_conjecture,
    organization(esk3_0,esk10_0),
    inference(split_conjunct,[status(thm)],[12]) ).

cnf(24,negated_conjecture,
    organization(esk2_0,esk9_0),
    inference(split_conjunct,[status(thm)],[12]) ).

fof(25,plain,
    ! [X1,X4,X10,X11,X12,X13,X6,X7] :
      ( ~ organization(X1,X10)
      | ~ organization(X4,X11)
      | ~ reorganization_free(X1,X10,X10)
      | ~ reorganization_free(X4,X11,X11)
      | ~ inertia(X1,X12,X10)
      | ~ inertia(X4,X13,X11)
      | ~ survival_chance(X1,X6,X10)
      | ~ survival_chance(X4,X7,X11)
      | ~ greater(X13,X12)
      | greater(X7,X6) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(26,plain,
    ! [X14,X15,X16,X17,X18,X19,X20,X21] :
      ( ~ organization(X14,X16)
      | ~ organization(X15,X17)
      | ~ reorganization_free(X14,X16,X16)
      | ~ reorganization_free(X15,X17,X17)
      | ~ inertia(X14,X18,X16)
      | ~ inertia(X15,X19,X17)
      | ~ survival_chance(X14,X20,X16)
      | ~ survival_chance(X15,X21,X17)
      | ~ greater(X19,X18)
      | greater(X21,X20) ),
    inference(variable_rename,[status(thm)],[25]) ).

cnf(27,plain,
    ( greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ survival_chance(X5,X1,X6)
    | ~ survival_chance(X7,X2,X8)
    | ~ inertia(X5,X3,X6)
    | ~ inertia(X7,X4,X8)
    | ~ reorganization_free(X5,X6,X6)
    | ~ reorganization_free(X7,X8,X8)
    | ~ organization(X5,X6)
    | ~ organization(X7,X8) ),
    inference(split_conjunct,[status(thm)],[26]) ).

fof(28,plain,
    ! [X1,X4,X5,X8,X9,X12,X13,X10,X11] :
      ( ~ organization(X1,X10)
      | ~ organization(X4,X11)
      | ~ class(X1,X5,X10)
      | ~ class(X4,X5,X11)
      | ~ size(X1,X8,X10)
      | ~ size(X4,X9,X11)
      | ~ inertia(X1,X12,X10)
      | ~ inertia(X4,X13,X11)
      | ~ greater(X9,X8)
      | greater(X13,X12) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(29,plain,
    ! [X14,X15,X16,X17,X18,X19,X20,X21,X22] :
      ( ~ organization(X14,X21)
      | ~ organization(X15,X22)
      | ~ class(X14,X16,X21)
      | ~ class(X15,X16,X22)
      | ~ size(X14,X17,X21)
      | ~ size(X15,X18,X22)
      | ~ inertia(X14,X19,X21)
      | ~ inertia(X15,X20,X22)
      | ~ greater(X18,X17)
      | greater(X20,X19) ),
    inference(variable_rename,[status(thm)],[28]) ).

cnf(30,plain,
    ( greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ inertia(X5,X1,X6)
    | ~ inertia(X7,X2,X8)
    | ~ size(X5,X3,X6)
    | ~ size(X7,X4,X8)
    | ~ class(X5,X9,X6)
    | ~ class(X7,X9,X8)
    | ~ organization(X5,X6)
    | ~ organization(X7,X8) ),
    inference(split_conjunct,[status(thm)],[29]) ).

cnf(31,negated_conjecture,
    ( greater(X1,esk5_0)
    | ~ greater(X2,X3)
    | ~ survival_chance(X4,X1,X5)
    | ~ reorganization_free(esk2_0,esk9_0,esk9_0)
    | ~ reorganization_free(X4,X5,X5)
    | ~ inertia(esk2_0,X3,esk9_0)
    | ~ inertia(X4,X2,X5)
    | ~ organization(esk2_0,esk9_0)
    | ~ organization(X4,X5) ),
    inference(spm,[status(thm)],[27,18,theory(equality)]) ).

cnf(33,negated_conjecture,
    ( greater(X1,esk5_0)
    | ~ greater(X2,X3)
    | ~ survival_chance(X4,X1,X5)
    | $false
    | ~ reorganization_free(X4,X5,X5)
    | ~ inertia(esk2_0,X3,esk9_0)
    | ~ inertia(X4,X2,X5)
    | ~ organization(esk2_0,esk9_0)
    | ~ organization(X4,X5) ),
    inference(rw,[status(thm)],[31,22,theory(equality)]) ).

cnf(34,negated_conjecture,
    ( greater(X1,esk5_0)
    | ~ greater(X2,X3)
    | ~ survival_chance(X4,X1,X5)
    | $false
    | ~ reorganization_free(X4,X5,X5)
    | ~ inertia(esk2_0,X3,esk9_0)
    | ~ inertia(X4,X2,X5)
    | $false
    | ~ organization(X4,X5) ),
    inference(rw,[status(thm)],[33,24,theory(equality)]) ).

cnf(35,negated_conjecture,
    ( greater(X1,esk5_0)
    | ~ greater(X2,X3)
    | ~ survival_chance(X4,X1,X5)
    | ~ reorganization_free(X4,X5,X5)
    | ~ inertia(esk2_0,X3,esk9_0)
    | ~ inertia(X4,X2,X5)
    | ~ organization(X4,X5) ),
    inference(cn,[status(thm)],[34,theory(equality)]) ).

cnf(39,negated_conjecture,
    ( greater(X1,X2)
    | ~ greater(X3,esk7_0)
    | ~ size(X4,X3,X5)
    | ~ class(esk2_0,X6,esk9_0)
    | ~ class(X4,X6,X5)
    | ~ inertia(esk2_0,X2,esk9_0)
    | ~ inertia(X4,X1,X5)
    | ~ organization(esk2_0,esk9_0)
    | ~ organization(X4,X5) ),
    inference(spm,[status(thm)],[30,16,theory(equality)]) ).

cnf(41,negated_conjecture,
    ( greater(X1,X2)
    | ~ greater(X3,esk7_0)
    | ~ size(X4,X3,X5)
    | ~ class(esk2_0,X6,esk9_0)
    | ~ class(X4,X6,X5)
    | ~ inertia(esk2_0,X2,esk9_0)
    | ~ inertia(X4,X1,X5)
    | $false
    | ~ organization(X4,X5) ),
    inference(rw,[status(thm)],[39,24,theory(equality)]) ).

cnf(42,negated_conjecture,
    ( greater(X1,X2)
    | ~ greater(X3,esk7_0)
    | ~ size(X4,X3,X5)
    | ~ class(esk2_0,X6,esk9_0)
    | ~ class(X4,X6,X5)
    | ~ inertia(esk2_0,X2,esk9_0)
    | ~ inertia(X4,X1,X5)
    | ~ organization(X4,X5) ),
    inference(cn,[status(thm)],[41,theory(equality)]) ).

cnf(45,negated_conjecture,
    ( greater(X1,esk5_0)
    | ~ greater(X2,esk1_2(esk2_0,esk9_0))
    | ~ survival_chance(X3,X1,X4)
    | ~ reorganization_free(X3,X4,X4)
    | ~ inertia(X3,X2,X4)
    | ~ organization(X3,X4)
    | ~ organization(esk2_0,esk9_0) ),
    inference(spm,[status(thm)],[35,9,theory(equality)]) ).

cnf(46,negated_conjecture,
    ( greater(X1,esk5_0)
    | ~ greater(X2,esk1_2(esk2_0,esk9_0))
    | ~ survival_chance(X3,X1,X4)
    | ~ reorganization_free(X3,X4,X4)
    | ~ inertia(X3,X2,X4)
    | ~ organization(X3,X4)
    | $false ),
    inference(rw,[status(thm)],[45,24,theory(equality)]) ).

cnf(47,negated_conjecture,
    ( greater(X1,esk5_0)
    | ~ greater(X2,esk1_2(esk2_0,esk9_0))
    | ~ survival_chance(X3,X1,X4)
    | ~ reorganization_free(X3,X4,X4)
    | ~ inertia(X3,X2,X4)
    | ~ organization(X3,X4) ),
    inference(cn,[status(thm)],[46,theory(equality)]) ).

cnf(51,negated_conjecture,
    ( greater(X1,X2)
    | ~ greater(X3,esk7_0)
    | ~ size(X4,X3,X5)
    | ~ class(X4,esk4_0,X5)
    | ~ inertia(esk2_0,X2,esk9_0)
    | ~ inertia(X4,X1,X5)
    | ~ organization(X4,X5) ),
    inference(spm,[status(thm)],[42,20,theory(equality)]) ).

cnf(52,negated_conjecture,
    ( greater(X1,esk1_2(esk2_0,esk9_0))
    | ~ greater(X2,esk7_0)
    | ~ size(X3,X2,X4)
    | ~ class(X3,esk4_0,X4)
    | ~ inertia(X3,X1,X4)
    | ~ organization(X3,X4)
    | ~ organization(esk2_0,esk9_0) ),
    inference(spm,[status(thm)],[51,9,theory(equality)]) ).

cnf(53,negated_conjecture,
    ( greater(X1,esk1_2(esk2_0,esk9_0))
    | ~ greater(X2,esk7_0)
    | ~ size(X3,X2,X4)
    | ~ class(X3,esk4_0,X4)
    | ~ inertia(X3,X1,X4)
    | ~ organization(X3,X4)
    | $false ),
    inference(rw,[status(thm)],[52,24,theory(equality)]) ).

cnf(54,negated_conjecture,
    ( greater(X1,esk1_2(esk2_0,esk9_0))
    | ~ greater(X2,esk7_0)
    | ~ size(X3,X2,X4)
    | ~ class(X3,esk4_0,X4)
    | ~ inertia(X3,X1,X4)
    | ~ organization(X3,X4) ),
    inference(cn,[status(thm)],[53,theory(equality)]) ).

cnf(56,negated_conjecture,
    ( greater(X1,esk1_2(esk2_0,esk9_0))
    | ~ greater(esk8_0,esk7_0)
    | ~ class(esk3_0,esk4_0,esk10_0)
    | ~ inertia(esk3_0,X1,esk10_0)
    | ~ organization(esk3_0,esk10_0) ),
    inference(spm,[status(thm)],[54,15,theory(equality)]) ).

cnf(60,negated_conjecture,
    ( greater(X1,esk1_2(esk2_0,esk9_0))
    | $false
    | ~ class(esk3_0,esk4_0,esk10_0)
    | ~ inertia(esk3_0,X1,esk10_0)
    | ~ organization(esk3_0,esk10_0) ),
    inference(rw,[status(thm)],[56,14,theory(equality)]) ).

cnf(61,negated_conjecture,
    ( greater(X1,esk1_2(esk2_0,esk9_0))
    | $false
    | $false
    | ~ inertia(esk3_0,X1,esk10_0)
    | ~ organization(esk3_0,esk10_0) ),
    inference(rw,[status(thm)],[60,19,theory(equality)]) ).

cnf(62,negated_conjecture,
    ( greater(X1,esk1_2(esk2_0,esk9_0))
    | $false
    | $false
    | ~ inertia(esk3_0,X1,esk10_0)
    | $false ),
    inference(rw,[status(thm)],[61,23,theory(equality)]) ).

cnf(63,negated_conjecture,
    ( greater(X1,esk1_2(esk2_0,esk9_0))
    | ~ inertia(esk3_0,X1,esk10_0) ),
    inference(cn,[status(thm)],[62,theory(equality)]) ).

cnf(64,negated_conjecture,
    ( greater(X1,esk5_0)
    | ~ survival_chance(X3,X1,X4)
    | ~ reorganization_free(X3,X4,X4)
    | ~ inertia(X3,X2,X4)
    | ~ organization(X3,X4)
    | ~ inertia(esk3_0,X2,esk10_0) ),
    inference(spm,[status(thm)],[47,63,theory(equality)]) ).

cnf(66,negated_conjecture,
    ( greater(X1,esk5_0)
    | ~ survival_chance(X2,X1,X3)
    | ~ reorganization_free(X2,X3,X3)
    | ~ inertia(X2,esk1_2(esk3_0,esk10_0),X3)
    | ~ organization(X2,X3)
    | ~ organization(esk3_0,esk10_0) ),
    inference(spm,[status(thm)],[64,9,theory(equality)]) ).

cnf(67,negated_conjecture,
    ( greater(X1,esk5_0)
    | ~ survival_chance(X2,X1,X3)
    | ~ reorganization_free(X2,X3,X3)
    | ~ inertia(X2,esk1_2(esk3_0,esk10_0),X3)
    | ~ organization(X2,X3)
    | $false ),
    inference(rw,[status(thm)],[66,23,theory(equality)]) ).

cnf(68,negated_conjecture,
    ( greater(X1,esk5_0)
    | ~ survival_chance(X2,X1,X3)
    | ~ reorganization_free(X2,X3,X3)
    | ~ inertia(X2,esk1_2(esk3_0,esk10_0),X3)
    | ~ organization(X2,X3) ),
    inference(cn,[status(thm)],[67,theory(equality)]) ).

cnf(69,negated_conjecture,
    ( greater(X1,esk5_0)
    | ~ survival_chance(esk3_0,X1,esk10_0)
    | ~ reorganization_free(esk3_0,esk10_0,esk10_0)
    | ~ organization(esk3_0,esk10_0) ),
    inference(spm,[status(thm)],[68,9,theory(equality)]) ).

cnf(70,negated_conjecture,
    ( greater(X1,esk5_0)
    | ~ survival_chance(esk3_0,X1,esk10_0)
    | $false
    | ~ organization(esk3_0,esk10_0) ),
    inference(rw,[status(thm)],[69,21,theory(equality)]) ).

cnf(71,negated_conjecture,
    ( greater(X1,esk5_0)
    | ~ survival_chance(esk3_0,X1,esk10_0)
    | $false
    | $false ),
    inference(rw,[status(thm)],[70,23,theory(equality)]) ).

cnf(72,negated_conjecture,
    ( greater(X1,esk5_0)
    | ~ survival_chance(esk3_0,X1,esk10_0) ),
    inference(cn,[status(thm)],[71,theory(equality)]) ).

cnf(74,negated_conjecture,
    greater(esk6_0,esk5_0),
    inference(spm,[status(thm)],[72,17,theory(equality)]) ).

cnf(75,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[74,13,theory(equality)]) ).

cnf(76,negated_conjecture,
    $false,
    75,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT008+1.p
% --creating new selector for []
% -running prover on /tmp/tmpW6Fvfn/sel_MGT008+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT008+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT008+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT008+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
% 
%------------------------------------------------------------------------------