TSTP Solution File: MGT056+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : MGT056+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art09.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 21:08:32 EST 2010

% Result   : Theorem 0.30s
% Output   : CNFRefutation 0.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   85 (  19 unt;   0 def)
%            Number of atoms       :  319 (  45 equ)
%            Maximal formula atoms :   24 (   3 avg)
%            Number of connectives :  352 ( 118   ~; 133   |;  86   &)
%                                         (   5 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :  110 (   0 sgn  74   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] :
      ( greater_or_equal(X1,X2)
    <=> ( greater(X1,X2)
        | X1 = X2 ) ),
    file('/tmp/tmponIWf_/sel_MGT056+1.p_1',definition_greater_or_equal) ).

fof(3,axiom,
    ! [X1,X2,X3] :
      ( ( greater(X1,X2)
        & greater(X2,X3) )
     => greater(X1,X3) ),
    file('/tmp/tmponIWf_/sel_MGT056+1.p_1',meaning_postulate_greater_transitive) ).

fof(4,axiom,
    ! [X1,X2] :
      ( smaller_or_equal(X1,X2)
    <=> ( smaller(X1,X2)
        | X1 = X2 ) ),
    file('/tmp/tmponIWf_/sel_MGT056+1.p_1',definition_smaller_or_equal) ).

fof(5,axiom,
    ! [X1,X2] :
      ( smaller(X1,X2)
    <=> greater(X2,X1) ),
    file('/tmp/tmponIWf_/sel_MGT056+1.p_1',definition_smaller) ).

fof(7,conjecture,
    ! [X1,X4,X5,X6] :
      ( ( organization(X1)
        & has_endowment(X1)
        & age(X1,X4) = zero
        & smaller_or_equal(age(X1,X5),eta)
        & greater(age(X1,X6),eta)
        & greater_or_equal(eta,sigma)
        & greater(sigma,zero) )
     => ( greater(hazard_of_mortality(X1,X6),hazard_of_mortality(X1,X5))
        & hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ) ),
    file('/tmp/tmponIWf_/sel_MGT056+1.p_1',lemma_9) ).

fof(8,axiom,
    ! [X1,X4,X7] :
      ( ( organization(X1)
        & has_immunity(X1,X4)
        & has_immunity(X1,X7) )
     => hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X7) ),
    file('/tmp/tmponIWf_/sel_MGT056+1.p_1',assumption_2) ).

fof(9,axiom,
    ! [X1,X4,X7] :
      ( ( organization(X1)
        & has_immunity(X1,X4)
        & ~ has_immunity(X1,X7) )
     => greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X4)) ),
    file('/tmp/tmponIWf_/sel_MGT056+1.p_1',assumption_3) ).

fof(10,axiom,
    ! [X1] :
      ( has_endowment(X1)
    <=> ! [X7] :
          ( organization(X1)
          & ( smaller_or_equal(age(X1,X7),eta)
           => has_immunity(X1,X7) )
          & ( greater(age(X1,X7),eta)
           => ~ has_immunity(X1,X7) ) ) ),
    file('/tmp/tmponIWf_/sel_MGT056+1.p_1',definition_1) ).

fof(11,negated_conjecture,
    ~ ! [X1,X4,X5,X6] :
        ( ( organization(X1)
          & has_endowment(X1)
          & age(X1,X4) = zero
          & smaller_or_equal(age(X1,X5),eta)
          & greater(age(X1,X6),eta)
          & greater_or_equal(eta,sigma)
          & greater(sigma,zero) )
       => ( greater(hazard_of_mortality(X1,X6),hazard_of_mortality(X1,X5))
          & hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ) ),
    inference(assume_negation,[status(cth)],[7]) ).

fof(12,plain,
    ! [X1,X4,X7] :
      ( ( organization(X1)
        & has_immunity(X1,X4)
        & ~ has_immunity(X1,X7) )
     => greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X4)) ),
    inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).

fof(13,plain,
    ! [X1] :
      ( has_endowment(X1)
    <=> ! [X7] :
          ( organization(X1)
          & ( smaller_or_equal(age(X1,X7),eta)
           => has_immunity(X1,X7) )
          & ( greater(age(X1,X7),eta)
           => ~ has_immunity(X1,X7) ) ) ),
    inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).

fof(14,plain,
    ! [X1,X2] :
      ( ( ~ greater_or_equal(X1,X2)
        | greater(X1,X2)
        | X1 = X2 )
      & ( ( ~ greater(X1,X2)
          & X1 != X2 )
        | greater_or_equal(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(15,plain,
    ! [X3,X4] :
      ( ( ~ greater_or_equal(X3,X4)
        | greater(X3,X4)
        | X3 = X4 )
      & ( ( ~ greater(X3,X4)
          & X3 != X4 )
        | greater_or_equal(X3,X4) ) ),
    inference(variable_rename,[status(thm)],[14]) ).

fof(16,plain,
    ! [X3,X4] :
      ( ( ~ greater_or_equal(X3,X4)
        | greater(X3,X4)
        | X3 = X4 )
      & ( ~ greater(X3,X4)
        | greater_or_equal(X3,X4) )
      & ( X3 != X4
        | greater_or_equal(X3,X4) ) ),
    inference(distribute,[status(thm)],[15]) ).

cnf(19,plain,
    ( X1 = X2
    | greater(X1,X2)
    | ~ greater_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[16]) ).

fof(23,plain,
    ! [X1,X2,X3] :
      ( ~ greater(X1,X2)
      | ~ greater(X2,X3)
      | greater(X1,X3) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(24,plain,
    ! [X4,X5,X6] :
      ( ~ greater(X4,X5)
      | ~ greater(X5,X6)
      | greater(X4,X6) ),
    inference(variable_rename,[status(thm)],[23]) ).

cnf(25,plain,
    ( greater(X1,X2)
    | ~ greater(X3,X2)
    | ~ greater(X1,X3) ),
    inference(split_conjunct,[status(thm)],[24]) ).

fof(26,plain,
    ! [X1,X2] :
      ( ( ~ smaller_or_equal(X1,X2)
        | smaller(X1,X2)
        | X1 = X2 )
      & ( ( ~ smaller(X1,X2)
          & X1 != X2 )
        | smaller_or_equal(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(27,plain,
    ! [X3,X4] :
      ( ( ~ smaller_or_equal(X3,X4)
        | smaller(X3,X4)
        | X3 = X4 )
      & ( ( ~ smaller(X3,X4)
          & X3 != X4 )
        | smaller_or_equal(X3,X4) ) ),
    inference(variable_rename,[status(thm)],[26]) ).

fof(28,plain,
    ! [X3,X4] :
      ( ( ~ smaller_or_equal(X3,X4)
        | smaller(X3,X4)
        | X3 = X4 )
      & ( ~ smaller(X3,X4)
        | smaller_or_equal(X3,X4) )
      & ( X3 != X4
        | smaller_or_equal(X3,X4) ) ),
    inference(distribute,[status(thm)],[27]) ).

cnf(30,plain,
    ( smaller_or_equal(X1,X2)
    | ~ smaller(X1,X2) ),
    inference(split_conjunct,[status(thm)],[28]) ).

fof(32,plain,
    ! [X1,X2] :
      ( ( ~ smaller(X1,X2)
        | greater(X2,X1) )
      & ( ~ greater(X2,X1)
        | smaller(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(33,plain,
    ! [X3,X4] :
      ( ( ~ smaller(X3,X4)
        | greater(X4,X3) )
      & ( ~ greater(X4,X3)
        | smaller(X3,X4) ) ),
    inference(variable_rename,[status(thm)],[32]) ).

cnf(34,plain,
    ( smaller(X1,X2)
    | ~ greater(X2,X1) ),
    inference(split_conjunct,[status(thm)],[33]) ).

fof(38,negated_conjecture,
    ? [X1,X4,X5,X6] :
      ( organization(X1)
      & has_endowment(X1)
      & age(X1,X4) = zero
      & smaller_or_equal(age(X1,X5),eta)
      & greater(age(X1,X6),eta)
      & greater_or_equal(eta,sigma)
      & greater(sigma,zero)
      & ( ~ greater(hazard_of_mortality(X1,X6),hazard_of_mortality(X1,X5))
        | hazard_of_mortality(X1,X5) != hazard_of_mortality(X1,X4) ) ),
    inference(fof_nnf,[status(thm)],[11]) ).

fof(39,negated_conjecture,
    ? [X7,X8,X9,X10] :
      ( organization(X7)
      & has_endowment(X7)
      & age(X7,X8) = zero
      & smaller_or_equal(age(X7,X9),eta)
      & greater(age(X7,X10),eta)
      & greater_or_equal(eta,sigma)
      & greater(sigma,zero)
      & ( ~ greater(hazard_of_mortality(X7,X10),hazard_of_mortality(X7,X9))
        | hazard_of_mortality(X7,X9) != hazard_of_mortality(X7,X8) ) ),
    inference(variable_rename,[status(thm)],[38]) ).

fof(40,negated_conjecture,
    ( organization(esk1_0)
    & has_endowment(esk1_0)
    & age(esk1_0,esk2_0) = zero
    & smaller_or_equal(age(esk1_0,esk3_0),eta)
    & greater(age(esk1_0,esk4_0),eta)
    & greater_or_equal(eta,sigma)
    & greater(sigma,zero)
    & ( ~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0))
      | hazard_of_mortality(esk1_0,esk3_0) != hazard_of_mortality(esk1_0,esk2_0) ) ),
    inference(skolemize,[status(esa)],[39]) ).

cnf(41,negated_conjecture,
    ( hazard_of_mortality(esk1_0,esk3_0) != hazard_of_mortality(esk1_0,esk2_0)
    | ~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0)) ),
    inference(split_conjunct,[status(thm)],[40]) ).

cnf(42,negated_conjecture,
    greater(sigma,zero),
    inference(split_conjunct,[status(thm)],[40]) ).

cnf(43,negated_conjecture,
    greater_or_equal(eta,sigma),
    inference(split_conjunct,[status(thm)],[40]) ).

cnf(44,negated_conjecture,
    greater(age(esk1_0,esk4_0),eta),
    inference(split_conjunct,[status(thm)],[40]) ).

cnf(45,negated_conjecture,
    smaller_or_equal(age(esk1_0,esk3_0),eta),
    inference(split_conjunct,[status(thm)],[40]) ).

cnf(46,negated_conjecture,
    age(esk1_0,esk2_0) = zero,
    inference(split_conjunct,[status(thm)],[40]) ).

cnf(47,negated_conjecture,
    has_endowment(esk1_0),
    inference(split_conjunct,[status(thm)],[40]) ).

cnf(48,negated_conjecture,
    organization(esk1_0),
    inference(split_conjunct,[status(thm)],[40]) ).

fof(49,plain,
    ! [X1,X4,X7] :
      ( ~ organization(X1)
      | ~ has_immunity(X1,X4)
      | ~ has_immunity(X1,X7)
      | hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X7) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(50,plain,
    ! [X8,X9,X10] :
      ( ~ organization(X8)
      | ~ has_immunity(X8,X9)
      | ~ has_immunity(X8,X10)
      | hazard_of_mortality(X8,X9) = hazard_of_mortality(X8,X10) ),
    inference(variable_rename,[status(thm)],[49]) ).

cnf(51,plain,
    ( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
    | ~ has_immunity(X1,X3)
    | ~ has_immunity(X1,X2)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[50]) ).

fof(52,plain,
    ! [X1,X4,X7] :
      ( ~ organization(X1)
      | ~ has_immunity(X1,X4)
      | has_immunity(X1,X7)
      | greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X4)) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(53,plain,
    ! [X8,X9,X10] :
      ( ~ organization(X8)
      | ~ has_immunity(X8,X9)
      | has_immunity(X8,X10)
      | greater(hazard_of_mortality(X8,X10),hazard_of_mortality(X8,X9)) ),
    inference(variable_rename,[status(thm)],[52]) ).

cnf(54,plain,
    ( greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
    | has_immunity(X1,X2)
    | ~ has_immunity(X1,X3)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[53]) ).

fof(55,plain,
    ! [X1] :
      ( ( ~ has_endowment(X1)
        | ! [X7] :
            ( organization(X1)
            & ( ~ smaller_or_equal(age(X1,X7),eta)
              | has_immunity(X1,X7) )
            & ( ~ greater(age(X1,X7),eta)
              | ~ has_immunity(X1,X7) ) ) )
      & ( ? [X7] :
            ( ~ organization(X1)
            | ( smaller_or_equal(age(X1,X7),eta)
              & ~ has_immunity(X1,X7) )
            | ( greater(age(X1,X7),eta)
              & has_immunity(X1,X7) ) )
        | has_endowment(X1) ) ),
    inference(fof_nnf,[status(thm)],[13]) ).

fof(56,plain,
    ! [X8] :
      ( ( ~ has_endowment(X8)
        | ! [X9] :
            ( organization(X8)
            & ( ~ smaller_or_equal(age(X8,X9),eta)
              | has_immunity(X8,X9) )
            & ( ~ greater(age(X8,X9),eta)
              | ~ has_immunity(X8,X9) ) ) )
      & ( ? [X10] :
            ( ~ organization(X8)
            | ( smaller_or_equal(age(X8,X10),eta)
              & ~ has_immunity(X8,X10) )
            | ( greater(age(X8,X10),eta)
              & has_immunity(X8,X10) ) )
        | has_endowment(X8) ) ),
    inference(variable_rename,[status(thm)],[55]) ).

fof(57,plain,
    ! [X8] :
      ( ( ~ has_endowment(X8)
        | ! [X9] :
            ( organization(X8)
            & ( ~ smaller_or_equal(age(X8,X9),eta)
              | has_immunity(X8,X9) )
            & ( ~ greater(age(X8,X9),eta)
              | ~ has_immunity(X8,X9) ) ) )
      & ( ~ organization(X8)
        | ( smaller_or_equal(age(X8,esk5_1(X8)),eta)
          & ~ has_immunity(X8,esk5_1(X8)) )
        | ( greater(age(X8,esk5_1(X8)),eta)
          & has_immunity(X8,esk5_1(X8)) )
        | has_endowment(X8) ) ),
    inference(skolemize,[status(esa)],[56]) ).

fof(58,plain,
    ! [X8,X9] :
      ( ( ( organization(X8)
          & ( ~ smaller_or_equal(age(X8,X9),eta)
            | has_immunity(X8,X9) )
          & ( ~ greater(age(X8,X9),eta)
            | ~ has_immunity(X8,X9) ) )
        | ~ has_endowment(X8) )
      & ( ~ organization(X8)
        | ( smaller_or_equal(age(X8,esk5_1(X8)),eta)
          & ~ has_immunity(X8,esk5_1(X8)) )
        | ( greater(age(X8,esk5_1(X8)),eta)
          & has_immunity(X8,esk5_1(X8)) )
        | has_endowment(X8) ) ),
    inference(shift_quantors,[status(thm)],[57]) ).

fof(59,plain,
    ! [X8,X9] :
      ( ( organization(X8)
        | ~ has_endowment(X8) )
      & ( ~ smaller_or_equal(age(X8,X9),eta)
        | has_immunity(X8,X9)
        | ~ has_endowment(X8) )
      & ( ~ greater(age(X8,X9),eta)
        | ~ has_immunity(X8,X9)
        | ~ has_endowment(X8) )
      & ( greater(age(X8,esk5_1(X8)),eta)
        | smaller_or_equal(age(X8,esk5_1(X8)),eta)
        | ~ organization(X8)
        | has_endowment(X8) )
      & ( has_immunity(X8,esk5_1(X8))
        | smaller_or_equal(age(X8,esk5_1(X8)),eta)
        | ~ organization(X8)
        | has_endowment(X8) )
      & ( greater(age(X8,esk5_1(X8)),eta)
        | ~ has_immunity(X8,esk5_1(X8))
        | ~ organization(X8)
        | has_endowment(X8) )
      & ( has_immunity(X8,esk5_1(X8))
        | ~ has_immunity(X8,esk5_1(X8))
        | ~ organization(X8)
        | has_endowment(X8) ) ),
    inference(distribute,[status(thm)],[58]) ).

cnf(64,plain,
    ( ~ has_endowment(X1)
    | ~ has_immunity(X1,X2)
    | ~ greater(age(X1,X2),eta) ),
    inference(split_conjunct,[status(thm)],[59]) ).

cnf(65,plain,
    ( has_immunity(X1,X2)
    | ~ has_endowment(X1)
    | ~ smaller_or_equal(age(X1,X2),eta) ),
    inference(split_conjunct,[status(thm)],[59]) ).

cnf(75,negated_conjecture,
    smaller(zero,sigma),
    inference(spm,[status(thm)],[34,42,theory(equality)]) ).

cnf(77,negated_conjecture,
    ( eta = sigma
    | greater(eta,sigma) ),
    inference(spm,[status(thm)],[19,43,theory(equality)]) ).

cnf(81,negated_conjecture,
    ( greater(X1,zero)
    | ~ greater(X1,sigma) ),
    inference(spm,[status(thm)],[25,42,theory(equality)]) ).

cnf(83,negated_conjecture,
    ( has_immunity(esk1_0,esk2_0)
    | ~ has_endowment(esk1_0)
    | ~ smaller_or_equal(zero,eta) ),
    inference(spm,[status(thm)],[65,46,theory(equality)]) ).

cnf(84,negated_conjecture,
    ( has_immunity(esk1_0,esk3_0)
    | ~ has_endowment(esk1_0) ),
    inference(spm,[status(thm)],[65,45,theory(equality)]) ).

cnf(85,negated_conjecture,
    ( has_immunity(esk1_0,esk2_0)
    | $false
    | ~ smaller_or_equal(zero,eta) ),
    inference(rw,[status(thm)],[83,47,theory(equality)]) ).

cnf(86,negated_conjecture,
    ( has_immunity(esk1_0,esk2_0)
    | ~ smaller_or_equal(zero,eta) ),
    inference(cn,[status(thm)],[85,theory(equality)]) ).

cnf(87,negated_conjecture,
    ( has_immunity(esk1_0,esk3_0)
    | $false ),
    inference(rw,[status(thm)],[84,47,theory(equality)]) ).

cnf(88,negated_conjecture,
    has_immunity(esk1_0,esk3_0),
    inference(cn,[status(thm)],[87,theory(equality)]) ).

cnf(90,negated_conjecture,
    ( ~ has_immunity(esk1_0,esk4_0)
    | ~ has_endowment(esk1_0) ),
    inference(spm,[status(thm)],[64,44,theory(equality)]) ).

cnf(93,negated_conjecture,
    ( ~ has_immunity(esk1_0,esk4_0)
    | $false ),
    inference(rw,[status(thm)],[90,47,theory(equality)]) ).

cnf(94,negated_conjecture,
    ~ has_immunity(esk1_0,esk4_0),
    inference(cn,[status(thm)],[93,theory(equality)]) ).

cnf(107,negated_conjecture,
    smaller_or_equal(zero,sigma),
    inference(spm,[status(thm)],[30,75,theory(equality)]) ).

cnf(111,negated_conjecture,
    ( hazard_of_mortality(esk1_0,X1) = hazard_of_mortality(esk1_0,esk3_0)
    | ~ has_immunity(esk1_0,X1)
    | ~ organization(esk1_0) ),
    inference(spm,[status(thm)],[51,88,theory(equality)]) ).

cnf(112,negated_conjecture,
    ( has_immunity(esk1_0,X1)
    | greater(hazard_of_mortality(esk1_0,X1),hazard_of_mortality(esk1_0,esk3_0))
    | ~ organization(esk1_0) ),
    inference(spm,[status(thm)],[54,88,theory(equality)]) ).

cnf(113,negated_conjecture,
    ( hazard_of_mortality(esk1_0,X1) = hazard_of_mortality(esk1_0,esk3_0)
    | ~ has_immunity(esk1_0,X1)
    | $false ),
    inference(rw,[status(thm)],[111,48,theory(equality)]) ).

cnf(114,negated_conjecture,
    ( hazard_of_mortality(esk1_0,X1) = hazard_of_mortality(esk1_0,esk3_0)
    | ~ has_immunity(esk1_0,X1) ),
    inference(cn,[status(thm)],[113,theory(equality)]) ).

cnf(115,negated_conjecture,
    ( has_immunity(esk1_0,X1)
    | greater(hazard_of_mortality(esk1_0,X1),hazard_of_mortality(esk1_0,esk3_0))
    | $false ),
    inference(rw,[status(thm)],[112,48,theory(equality)]) ).

cnf(116,negated_conjecture,
    ( has_immunity(esk1_0,X1)
    | greater(hazard_of_mortality(esk1_0,X1),hazard_of_mortality(esk1_0,esk3_0)) ),
    inference(cn,[status(thm)],[115,theory(equality)]) ).

cnf(148,negated_conjecture,
    ( greater(eta,zero)
    | sigma = eta ),
    inference(spm,[status(thm)],[81,77,theory(equality)]) ).

cnf(160,negated_conjecture,
    ( smaller(zero,eta)
    | sigma = eta ),
    inference(spm,[status(thm)],[34,148,theory(equality)]) ).

cnf(166,negated_conjecture,
    ( smaller_or_equal(zero,eta)
    | sigma = eta ),
    inference(spm,[status(thm)],[30,160,theory(equality)]) ).

cnf(172,negated_conjecture,
    ( has_immunity(esk1_0,esk2_0)
    | sigma = eta ),
    inference(spm,[status(thm)],[86,166,theory(equality)]) ).

cnf(239,negated_conjecture,
    ( hazard_of_mortality(esk1_0,esk2_0) = hazard_of_mortality(esk1_0,esk3_0)
    | sigma = eta ),
    inference(spm,[status(thm)],[114,172,theory(equality)]) ).

cnf(265,negated_conjecture,
    ( sigma = eta
    | ~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0)) ),
    inference(spm,[status(thm)],[41,239,theory(equality)]) ).

cnf(273,negated_conjecture,
    ( sigma = eta
    | has_immunity(esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[265,116,theory(equality)]) ).

cnf(274,negated_conjecture,
    sigma = eta,
    inference(sr,[status(thm)],[273,94,theory(equality)]) ).

cnf(275,negated_conjecture,
    smaller_or_equal(zero,eta),
    inference(rw,[status(thm)],[107,274,theory(equality)]) ).

cnf(319,negated_conjecture,
    ( has_immunity(esk1_0,esk2_0)
    | $false ),
    inference(rw,[status(thm)],[86,275,theory(equality)]) ).

cnf(320,negated_conjecture,
    has_immunity(esk1_0,esk2_0),
    inference(cn,[status(thm)],[319,theory(equality)]) ).

cnf(331,negated_conjecture,
    hazard_of_mortality(esk1_0,esk2_0) = hazard_of_mortality(esk1_0,esk3_0),
    inference(spm,[status(thm)],[114,320,theory(equality)]) ).

cnf(355,negated_conjecture,
    ( $false
    | ~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0)) ),
    inference(rw,[status(thm)],[41,331,theory(equality)]) ).

cnf(356,negated_conjecture,
    ~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0)),
    inference(cn,[status(thm)],[355,theory(equality)]) ).

cnf(369,negated_conjecture,
    has_immunity(esk1_0,esk4_0),
    inference(spm,[status(thm)],[356,116,theory(equality)]) ).

cnf(370,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[369,94,theory(equality)]) ).

cnf(371,negated_conjecture,
    $false,
    370,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT056+1.p
% --creating new selector for [MGT001+0.ax]
% -running prover on /tmp/tmponIWf_/sel_MGT056+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT056+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT056+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT056+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
% 
%------------------------------------------------------------------------------