TSTP Solution File: MGT046+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : MGT046+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:28:48 EDT 2024

% Result   : Theorem 0.17s 0.54s
% Output   : CNFRefutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  134 (  15 unt;   0 def)
%            Number of atoms       :  379 (  43 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  414 ( 169   ~; 163   |;  45   &)
%                                         (  20 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   26 (  24 usr;  18 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  139 ( 136   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] :
      ( smaller_or_equal(X,Y)
    <=> ( smaller(X,Y)
        | X = Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y] :
      ( greater_or_equal(X,Y)
    <=> ( greater(X,Y)
        | X = Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] :
      ( smaller(X,Y)
    <=> greater(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X,Y] :
      ~ ( greater(X,Y)
        & greater(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X,Y] :
      ( smaller(X,Y)
      | X = Y
      | greater(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,T] :
      ( ( organization(X)
        & ~ has_endowment(X) )
     => ~ has_immunity(X,T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X,T0,T] :
      ( ( organization(X)
        & ~ has_immunity(X,T0)
        & ~ has_immunity(X,T) )
     => ( ( ( greater(capability(X,T),capability(X,T0))
            & greater_or_equal(position(X,T),position(X,T0)) )
         => smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
        & ( ( greater_or_equal(capability(X,T),capability(X,T0))
            & greater(position(X,T),position(X,T0)) )
         => smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
        & ( ( capability(X,T) = capability(X,T0)
            & position(X,T) = position(X,T0) )
         => hazard_of_mortality(X,T) = hazard_of_mortality(X,T0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X,T0,T] :
      ( organization(X)
     => ( ( ( greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
            & smaller_or_equal(internal_friction(X,T),internal_friction(X,T0)) )
         => greater(capability(X,T),capability(X,T0)) )
        & ( ( smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
            & greater(internal_friction(X,T),internal_friction(X,T0)) )
         => smaller(capability(X,T),capability(X,T0)) )
        & ( ( stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
            & internal_friction(X,T) = internal_friction(X,T0) )
         => capability(X,T) = capability(X,T0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X,T0,T] :
      ( organization(X)
     => ( ( greater(external_ties(X,T),external_ties(X,T0))
         => greater(position(X,T),position(X,T0)) )
        & ( external_ties(X,T) = external_ties(X,T0)
         => position(X,T) = position(X,T0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X,T0,T] :
      ( ( organization(X)
        & greater(age(X,T),age(X,T0)) )
     => greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X,T0,T] :
      ( ( organization(X)
        & greater(age(X,T),age(X,T0)) )
     => greater(external_ties(X,T),external_ties(X,T0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X,T0,T] :
      ( organization(X)
     => internal_friction(X,T) = internal_friction(X,T0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,conjecture,
    ! [X,T0,T] :
      ( ( organization(X)
        & ~ has_endowment(X)
        & greater(age(X,T),age(X,T0)) )
     => smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ~ ! [X,T0,T] :
        ( ( organization(X)
          & ~ has_endowment(X)
          & greater(age(X,T),age(X,T0)) )
       => smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f16,plain,
    ! [X,Y] :
      ( ( ~ smaller_or_equal(X,Y)
        | smaller(X,Y)
        | X = Y )
      & ( smaller_or_equal(X,Y)
        | ( ~ smaller(X,Y)
          & X != Y ) ) ),
    inference(NNF_transformation,[status(esa)],[f1]) ).

fof(f17,plain,
    ( ! [X,Y] :
        ( ~ smaller_or_equal(X,Y)
        | smaller(X,Y)
        | X = Y )
    & ! [X,Y] :
        ( smaller_or_equal(X,Y)
        | ( ~ smaller(X,Y)
          & X != Y ) ) ),
    inference(miniscoping,[status(esa)],[f16]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f21,plain,
    ! [X,Y] :
      ( ( ~ greater_or_equal(X,Y)
        | greater(X,Y)
        | X = Y )
      & ( greater_or_equal(X,Y)
        | ( ~ greater(X,Y)
          & X != Y ) ) ),
    inference(NNF_transformation,[status(esa)],[f2]) ).

fof(f22,plain,
    ( ! [X,Y] :
        ( ~ greater_or_equal(X,Y)
        | greater(X,Y)
        | X = Y )
    & ! [X,Y] :
        ( greater_or_equal(X,Y)
        | ( ~ greater(X,Y)
          & X != Y ) ) ),
    inference(miniscoping,[status(esa)],[f21]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f26,plain,
    ! [X,Y] :
      ( ( ~ smaller(X,Y)
        | greater(Y,X) )
      & ( smaller(X,Y)
        | ~ greater(Y,X) ) ),
    inference(NNF_transformation,[status(esa)],[f3]) ).

fof(f27,plain,
    ( ! [X,Y] :
        ( ~ smaller(X,Y)
        | greater(Y,X) )
    & ! [X,Y] :
        ( smaller(X,Y)
        | ~ greater(Y,X) ) ),
    inference(miniscoping,[status(esa)],[f26]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ smaller(X0,X1)
      | greater(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f30,plain,
    ! [X,Y] :
      ( ~ greater(X,Y)
      | ~ greater(Y,X) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | ~ greater(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( smaller(X0,X1)
      | X0 = X1
      | greater(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f36,plain,
    ! [X,T] :
      ( ~ organization(X)
      | has_endowment(X)
      | ~ has_immunity(X,T) ),
    inference(pre_NNF_transformation,[status(esa)],[f7]) ).

fof(f37,plain,
    ! [X] :
      ( ~ organization(X)
      | has_endowment(X)
      | ! [T] : ~ has_immunity(X,T) ),
    inference(miniscoping,[status(esa)],[f36]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ organization(X0)
      | has_endowment(X0)
      | ~ has_immunity(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f37]) ).

fof(f39,plain,
    ! [X,T0,T] :
      ( ~ organization(X)
      | has_immunity(X,T0)
      | has_immunity(X,T)
      | ( ( ~ greater(capability(X,T),capability(X,T0))
          | ~ greater_or_equal(position(X,T),position(X,T0))
          | smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
        & ( ~ greater_or_equal(capability(X,T),capability(X,T0))
          | ~ greater(position(X,T),position(X,T0))
          | smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
        & ( capability(X,T) != capability(X,T0)
          | position(X,T) != position(X,T0)
          | hazard_of_mortality(X,T) = hazard_of_mortality(X,T0) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( ~ organization(X0)
      | has_immunity(X0,X1)
      | has_immunity(X0,X2)
      | ~ greater(capability(X0,X2),capability(X0,X1))
      | ~ greater_or_equal(position(X0,X2),position(X0,X1))
      | smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f43,plain,
    ! [X,T0,T] :
      ( ~ organization(X)
      | ( ( ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
          | ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
          | greater(capability(X,T),capability(X,T0)) )
        & ( ~ smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
          | ~ greater(internal_friction(X,T),internal_friction(X,T0))
          | smaller(capability(X,T),capability(X,T0)) )
        & ( stock_of_knowledge(X,T) != stock_of_knowledge(X,T0)
          | internal_friction(X,T) != internal_friction(X,T0)
          | capability(X,T) = capability(X,T0) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f9]) ).

fof(f44,plain,
    ! [X] :
      ( ~ organization(X)
      | ( ! [T0,T] :
            ( ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
            | ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
            | greater(capability(X,T),capability(X,T0)) )
        & ! [T0,T] :
            ( ~ smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
            | ~ greater(internal_friction(X,T),internal_friction(X,T0))
            | smaller(capability(X,T),capability(X,T0)) )
        & ! [T0,T] :
            ( stock_of_knowledge(X,T) != stock_of_knowledge(X,T0)
            | internal_friction(X,T) != internal_friction(X,T0)
            | capability(X,T) = capability(X,T0) ) ) ),
    inference(miniscoping,[status(esa)],[f43]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ~ organization(X0)
      | ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
      | ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
      | greater(capability(X0,X1),capability(X0,X2)) ),
    inference(cnf_transformation,[status(esa)],[f44]) ).

fof(f48,plain,
    ! [X,T0,T] :
      ( ~ organization(X)
      | ( ( ~ greater(external_ties(X,T),external_ties(X,T0))
          | greater(position(X,T),position(X,T0)) )
        & ( external_ties(X,T) != external_ties(X,T0)
          | position(X,T) = position(X,T0) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f49,plain,
    ! [X] :
      ( ~ organization(X)
      | ( ! [T0,T] :
            ( ~ greater(external_ties(X,T),external_ties(X,T0))
            | greater(position(X,T),position(X,T0)) )
        & ! [T0,T] :
            ( external_ties(X,T) != external_ties(X,T0)
            | position(X,T) = position(X,T0) ) ) ),
    inference(miniscoping,[status(esa)],[f48]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ~ organization(X0)
      | ~ greater(external_ties(X0,X1),external_ties(X0,X2))
      | greater(position(X0,X1),position(X0,X2)) ),
    inference(cnf_transformation,[status(esa)],[f49]) ).

fof(f52,plain,
    ! [X,T0,T] :
      ( ~ organization(X)
      | ~ greater(age(X,T),age(X,T0))
      | greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ),
    inference(pre_NNF_transformation,[status(esa)],[f11]) ).

fof(f53,plain,
    ! [X0,X1,X2] :
      ( ~ organization(X0)
      | ~ greater(age(X0,X1),age(X0,X2))
      | greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2)) ),
    inference(cnf_transformation,[status(esa)],[f52]) ).

fof(f54,plain,
    ! [X,T0,T] :
      ( ~ organization(X)
      | ~ greater(age(X,T),age(X,T0))
      | greater(external_ties(X,T),external_ties(X,T0)) ),
    inference(pre_NNF_transformation,[status(esa)],[f12]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( ~ organization(X0)
      | ~ greater(age(X0,X1),age(X0,X2))
      | greater(external_ties(X0,X1),external_ties(X0,X2)) ),
    inference(cnf_transformation,[status(esa)],[f54]) ).

fof(f56,plain,
    ! [X,T0,T] :
      ( ~ organization(X)
      | internal_friction(X,T) = internal_friction(X,T0) ),
    inference(pre_NNF_transformation,[status(esa)],[f13]) ).

fof(f57,plain,
    ! [X] :
      ( ~ organization(X)
      | ! [T0,T] : internal_friction(X,T) = internal_friction(X,T0) ),
    inference(miniscoping,[status(esa)],[f56]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( ~ organization(X0)
      | internal_friction(X0,X1) = internal_friction(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f57]) ).

fof(f59,plain,
    ? [X,T0,T] :
      ( organization(X)
      & ~ has_endowment(X)
      & greater(age(X,T),age(X,T0))
      & ~ smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
    inference(pre_NNF_transformation,[status(esa)],[f15]) ).

fof(f60,plain,
    ( organization(sk0_0)
    & ~ has_endowment(sk0_0)
    & greater(age(sk0_0,sk0_2),age(sk0_0,sk0_1))
    & ~ smaller(hazard_of_mortality(sk0_0,sk0_2),hazard_of_mortality(sk0_0,sk0_1)) ),
    inference(skolemization,[status(esa)],[f59]) ).

fof(f61,plain,
    organization(sk0_0),
    inference(cnf_transformation,[status(esa)],[f60]) ).

fof(f62,plain,
    ~ has_endowment(sk0_0),
    inference(cnf_transformation,[status(esa)],[f60]) ).

fof(f63,plain,
    greater(age(sk0_0,sk0_2),age(sk0_0,sk0_1)),
    inference(cnf_transformation,[status(esa)],[f60]) ).

fof(f64,plain,
    ~ smaller(hazard_of_mortality(sk0_0,sk0_2),hazard_of_mortality(sk0_0,sk0_1)),
    inference(cnf_transformation,[status(esa)],[f60]) ).

fof(f65,plain,
    ! [X0] : smaller_or_equal(X0,X0),
    inference(destructive_equality_resolution,[status(esa)],[f20]) ).

fof(f539,plain,
    ( spl0_44
  <=> organization(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f541,plain,
    ( ~ organization(sk0_0)
    | spl0_44 ),
    inference(component_clause,[status(thm)],[f539]) ).

fof(f542,plain,
    ( spl0_45
  <=> greater(external_ties(sk0_0,sk0_2),external_ties(sk0_0,sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f543,plain,
    ( greater(external_ties(sk0_0,sk0_2),external_ties(sk0_0,sk0_1))
    | ~ spl0_45 ),
    inference(component_clause,[status(thm)],[f542]) ).

fof(f545,plain,
    ( ~ organization(sk0_0)
    | greater(external_ties(sk0_0,sk0_2),external_ties(sk0_0,sk0_1)) ),
    inference(resolution,[status(thm)],[f63,f55]) ).

fof(f546,plain,
    ( ~ spl0_44
    | spl0_45 ),
    inference(split_clause,[status(thm)],[f545,f539,f542]) ).

fof(f547,plain,
    ( spl0_46
  <=> greater(stock_of_knowledge(sk0_0,sk0_2),stock_of_knowledge(sk0_0,sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f548,plain,
    ( greater(stock_of_knowledge(sk0_0,sk0_2),stock_of_knowledge(sk0_0,sk0_1))
    | ~ spl0_46 ),
    inference(component_clause,[status(thm)],[f547]) ).

fof(f550,plain,
    ( ~ organization(sk0_0)
    | greater(stock_of_knowledge(sk0_0,sk0_2),stock_of_knowledge(sk0_0,sk0_1)) ),
    inference(resolution,[status(thm)],[f63,f53]) ).

fof(f551,plain,
    ( ~ spl0_44
    | spl0_46 ),
    inference(split_clause,[status(thm)],[f550,f539,f547]) ).

fof(f556,plain,
    ( $false
    | spl0_44 ),
    inference(forward_subsumption_resolution,[status(thm)],[f541,f61]) ).

fof(f557,plain,
    spl0_44,
    inference(contradiction_clause,[status(thm)],[f556]) ).

fof(f589,plain,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
      | smaller(X0,X1)
      | X0 = X1 ),
    inference(resolution,[status(thm)],[f24,f35]) ).

fof(f665,plain,
    ! [X0,X1] : internal_friction(sk0_0,X0) = internal_friction(sk0_0,X1),
    inference(resolution,[status(thm)],[f58,f61]) ).

fof(f918,plain,
    ( spl0_76
  <=> has_immunity(sk0_0,sk0_2) ),
    introduced(split_symbol_definition) ).

fof(f919,plain,
    ( has_immunity(sk0_0,sk0_2)
    | ~ spl0_76 ),
    inference(component_clause,[status(thm)],[f918]) ).

fof(f925,plain,
    ( spl0_77
  <=> smaller_or_equal(internal_friction(sk0_0,sk0_2),internal_friction(sk0_0,sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f927,plain,
    ( ~ smaller_or_equal(internal_friction(sk0_0,sk0_2),internal_friction(sk0_0,sk0_1))
    | spl0_77 ),
    inference(component_clause,[status(thm)],[f925]) ).

fof(f928,plain,
    ( spl0_78
  <=> greater(capability(sk0_0,sk0_2),capability(sk0_0,sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f929,plain,
    ( greater(capability(sk0_0,sk0_2),capability(sk0_0,sk0_1))
    | ~ spl0_78 ),
    inference(component_clause,[status(thm)],[f928]) ).

fof(f931,plain,
    ( ~ organization(sk0_0)
    | ~ smaller_or_equal(internal_friction(sk0_0,sk0_2),internal_friction(sk0_0,sk0_1))
    | greater(capability(sk0_0,sk0_2),capability(sk0_0,sk0_1))
    | ~ spl0_46 ),
    inference(resolution,[status(thm)],[f45,f548]) ).

fof(f932,plain,
    ( ~ spl0_44
    | ~ spl0_77
    | spl0_78
    | ~ spl0_46 ),
    inference(split_clause,[status(thm)],[f931,f539,f925,f928,f547]) ).

fof(f976,plain,
    ( spl0_81
  <=> greater(position(sk0_0,sk0_2),position(sk0_0,sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f977,plain,
    ( greater(position(sk0_0,sk0_2),position(sk0_0,sk0_1))
    | ~ spl0_81 ),
    inference(component_clause,[status(thm)],[f976]) ).

fof(f979,plain,
    ( ~ organization(sk0_0)
    | greater(position(sk0_0,sk0_2),position(sk0_0,sk0_1))
    | ~ spl0_45 ),
    inference(resolution,[status(thm)],[f543,f50]) ).

fof(f980,plain,
    ( ~ spl0_44
    | spl0_81
    | ~ spl0_45 ),
    inference(split_clause,[status(thm)],[f979,f539,f976,f542]) ).

fof(f989,plain,
    ( spl0_82
  <=> has_endowment(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f990,plain,
    ( has_endowment(sk0_0)
    | ~ spl0_82 ),
    inference(component_clause,[status(thm)],[f989]) ).

fof(f992,plain,
    ( ~ organization(sk0_0)
    | has_endowment(sk0_0)
    | ~ spl0_76 ),
    inference(resolution,[status(thm)],[f919,f38]) ).

fof(f993,plain,
    ( ~ spl0_44
    | spl0_82
    | ~ spl0_76 ),
    inference(split_clause,[status(thm)],[f992,f539,f989,f918]) ).

fof(f994,plain,
    ( $false
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[status(thm)],[f990,f62]) ).

fof(f995,plain,
    ~ spl0_82,
    inference(contradiction_clause,[status(thm)],[f994]) ).

fof(f996,plain,
    ( spl0_83
  <=> has_immunity(sk0_0,sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f997,plain,
    ( has_immunity(sk0_0,sk0_1)
    | ~ spl0_83 ),
    inference(component_clause,[status(thm)],[f996]) ).

fof(f1002,plain,
    ( spl0_85
  <=> position(sk0_0,sk0_2) = position(sk0_0,sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f1003,plain,
    ( position(sk0_0,sk0_2) = position(sk0_0,sk0_1)
    | ~ spl0_85 ),
    inference(component_clause,[status(thm)],[f1002]) ).

fof(f1009,plain,
    ( ~ organization(sk0_0)
    | has_endowment(sk0_0)
    | ~ spl0_83 ),
    inference(resolution,[status(thm)],[f997,f38]) ).

fof(f1010,plain,
    ( ~ spl0_44
    | spl0_82
    | ~ spl0_83 ),
    inference(split_clause,[status(thm)],[f1009,f539,f989,f996]) ).

fof(f1170,plain,
    ( spl0_100
  <=> greater(position(sk0_0,sk0_1),position(sk0_0,sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f1171,plain,
    ( greater(position(sk0_0,sk0_1),position(sk0_0,sk0_1))
    | ~ spl0_100 ),
    inference(component_clause,[status(thm)],[f1170]) ).

fof(f1194,plain,
    ! [X0] :
      ( ~ smaller_or_equal(internal_friction(sk0_0,X0),internal_friction(sk0_0,sk0_1))
      | spl0_77 ),
    inference(paramodulation,[status(thm)],[f665,f927]) ).

fof(f1198,plain,
    ( spl0_103
  <=> greater_or_equal(position(sk0_0,sk0_2),position(sk0_0,sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f1200,plain,
    ( ~ greater_or_equal(position(sk0_0,sk0_2),position(sk0_0,sk0_1))
    | spl0_103 ),
    inference(component_clause,[status(thm)],[f1198]) ).

fof(f1201,plain,
    ( spl0_104
  <=> smaller(hazard_of_mortality(sk0_0,sk0_2),hazard_of_mortality(sk0_0,sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f1202,plain,
    ( smaller(hazard_of_mortality(sk0_0,sk0_2),hazard_of_mortality(sk0_0,sk0_1))
    | ~ spl0_104 ),
    inference(component_clause,[status(thm)],[f1201]) ).

fof(f1204,plain,
    ( ~ organization(sk0_0)
    | has_immunity(sk0_0,sk0_1)
    | has_immunity(sk0_0,sk0_2)
    | ~ greater_or_equal(position(sk0_0,sk0_2),position(sk0_0,sk0_1))
    | smaller(hazard_of_mortality(sk0_0,sk0_2),hazard_of_mortality(sk0_0,sk0_1))
    | ~ spl0_78 ),
    inference(resolution,[status(thm)],[f929,f40]) ).

fof(f1205,plain,
    ( ~ spl0_44
    | spl0_83
    | spl0_76
    | ~ spl0_103
    | spl0_104
    | ~ spl0_78 ),
    inference(split_clause,[status(thm)],[f1204,f539,f996,f918,f1198,f1201,f928]) ).

fof(f1394,plain,
    ( ~ greater(position(sk0_0,sk0_1),position(sk0_0,sk0_2))
    | ~ spl0_81 ),
    inference(resolution,[status(thm)],[f977,f31]) ).

fof(f1398,plain,
    ( $false
    | spl0_77 ),
    inference(resolution,[status(thm)],[f1194,f65]) ).

fof(f1399,plain,
    spl0_77,
    inference(contradiction_clause,[status(thm)],[f1398]) ).

fof(f1619,plain,
    ( spl0_138
  <=> greater(stock_of_knowledge(sk0_0,sk0_1),stock_of_knowledge(sk0_0,sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f1620,plain,
    ( greater(stock_of_knowledge(sk0_0,sk0_1),stock_of_knowledge(sk0_0,sk0_1))
    | ~ spl0_138 ),
    inference(component_clause,[status(thm)],[f1619]) ).

fof(f1653,plain,
    ( ~ greater(position(sk0_0,sk0_1),position(sk0_0,sk0_1))
    | ~ spl0_100 ),
    inference(resolution,[status(thm)],[f1171,f31]) ).

fof(f1654,plain,
    ( $false
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1653,f1171]) ).

fof(f1655,plain,
    ~ spl0_100,
    inference(contradiction_clause,[status(thm)],[f1654]) ).

fof(f1665,plain,
    ( spl0_144
  <=> greater(external_ties(sk0_0,sk0_1),external_ties(sk0_0,sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f1666,plain,
    ( greater(external_ties(sk0_0,sk0_1),external_ties(sk0_0,sk0_1))
    | ~ spl0_144 ),
    inference(component_clause,[status(thm)],[f1665]) ).

fof(f1683,plain,
    ( spl0_146
  <=> smaller(internal_friction(sk0_0,sk0_1),internal_friction(sk0_0,sk0_2)) ),
    introduced(split_symbol_definition) ).

fof(f1684,plain,
    ( smaller(internal_friction(sk0_0,sk0_1),internal_friction(sk0_0,sk0_2))
    | ~ spl0_146 ),
    inference(component_clause,[status(thm)],[f1683]) ).

fof(f1697,plain,
    ( spl0_148
  <=> smaller(position(sk0_0,sk0_2),position(sk0_0,sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f1698,plain,
    ( smaller(position(sk0_0,sk0_2),position(sk0_0,sk0_1))
    | ~ spl0_148 ),
    inference(component_clause,[status(thm)],[f1697]) ).

fof(f1700,plain,
    ( smaller(position(sk0_0,sk0_2),position(sk0_0,sk0_1))
    | position(sk0_0,sk0_2) = position(sk0_0,sk0_1)
    | spl0_103 ),
    inference(resolution,[status(thm)],[f1200,f589]) ).

fof(f1701,plain,
    ( spl0_148
    | spl0_85
    | spl0_103 ),
    inference(split_clause,[status(thm)],[f1700,f1697,f1002,f1198]) ).

fof(f1724,plain,
    ( greater(position(sk0_0,sk0_1),position(sk0_0,sk0_1))
    | ~ spl0_85
    | ~ spl0_81 ),
    inference(backward_demodulation,[status(thm)],[f1003,f977]) ).

fof(f1725,plain,
    ( spl0_100
    | ~ spl0_85
    | ~ spl0_81 ),
    inference(split_clause,[status(thm)],[f1724,f1170,f1002,f976]) ).

fof(f1963,plain,
    ( $false
    | ~ spl0_104 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1202,f64]) ).

fof(f1964,plain,
    ~ spl0_104,
    inference(contradiction_clause,[status(thm)],[f1963]) ).

fof(f2134,plain,
    ( ~ greater(stock_of_knowledge(sk0_0,sk0_1),stock_of_knowledge(sk0_0,sk0_1))
    | ~ spl0_138 ),
    inference(resolution,[status(thm)],[f1620,f31]) ).

fof(f2135,plain,
    ( $false
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2134,f1620]) ).

fof(f2136,plain,
    ~ spl0_138,
    inference(contradiction_clause,[status(thm)],[f2135]) ).

fof(f2164,plain,
    ( ~ greater(external_ties(sk0_0,sk0_1),external_ties(sk0_0,sk0_1))
    | ~ spl0_144 ),
    inference(resolution,[status(thm)],[f1666,f31]) ).

fof(f2165,plain,
    ( $false
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2164,f1666]) ).

fof(f2166,plain,
    ~ spl0_144,
    inference(contradiction_clause,[status(thm)],[f2165]) ).

fof(f2168,plain,
    ! [X0] :
      ( smaller(internal_friction(sk0_0,X0),internal_friction(sk0_0,sk0_2))
      | ~ spl0_146 ),
    inference(paramodulation,[status(thm)],[f665,f1684]) ).

fof(f2175,plain,
    ! [X0,X1] :
      ( smaller(internal_friction(sk0_0,X0),internal_friction(sk0_0,X1))
      | ~ spl0_146 ),
    inference(paramodulation,[status(thm)],[f665,f2168]) ).

fof(f2177,plain,
    ! [X0,X1] :
      ( greater(internal_friction(sk0_0,X0),internal_friction(sk0_0,X1))
      | ~ spl0_146 ),
    inference(resolution,[status(thm)],[f2175,f28]) ).

fof(f2191,plain,
    ! [X0,X1] :
      ( ~ greater(internal_friction(sk0_0,X0),internal_friction(sk0_0,X1))
      | ~ spl0_146 ),
    inference(resolution,[status(thm)],[f2177,f31]) ).

fof(f2192,plain,
    ( $false
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2191,f2177]) ).

fof(f2193,plain,
    ~ spl0_146,
    inference(contradiction_clause,[status(thm)],[f2192]) ).

fof(f2195,plain,
    ( greater(position(sk0_0,sk0_1),position(sk0_0,sk0_2))
    | ~ spl0_148 ),
    inference(resolution,[status(thm)],[f1698,f28]) ).

fof(f2196,plain,
    ( $false
    | ~ spl0_81
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2195,f1394]) ).

fof(f2197,plain,
    ( ~ spl0_81
    | ~ spl0_148 ),
    inference(contradiction_clause,[status(thm)],[f2196]) ).

fof(f2198,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f546,f551,f557,f932,f980,f993,f995,f1010,f1205,f1399,f1655,f1701,f1725,f1964,f2136,f2166,f2193,f2197]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : MGT046+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32  % Computer : n014.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Mon Apr 29 23:32:04 EDT 2024
% 0.12/0.32  % CPUTime  : 
% 0.12/0.34  % Drodi V3.6.0
% 0.17/0.54  % Refutation found
% 0.17/0.54  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.50/0.56  % Elapsed time: 0.226194 seconds
% 1.50/0.56  % CPU time: 1.658217 seconds
% 1.50/0.56  % Total memory used: 67.950 MB
% 1.50/0.56  % Net memory used: 66.861 MB
%------------------------------------------------------------------------------