TSTP Solution File: MGT034+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT034+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n024.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 : Wed Aug 31 17:51:01 EDT 2022

% Result   : Theorem 1.28s 0.52s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  159 (  12 unt;   0 def)
%            Number of atoms       :  561 (  23 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  676 ( 274   ~; 261   |;  96   &)
%                                         (  11 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   6 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :  236 ( 230   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f686,plain,
    $false,
    inference(avatar_sat_refutation,[],[f189,f292,f480,f492,f535,f685]) ).

fof(f685,plain,
    ( spl2_7
    | ~ spl2_12 ),
    inference(avatar_contradiction_clause,[],[f684]) ).

fof(f684,plain,
    ( $false
    | spl2_7
    | ~ spl2_12 ),
    inference(subsumption_resolution,[],[f683,f679]) ).

fof(f679,plain,
    ( ~ greater(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)),zero)
    | ~ spl2_12 ),
    inference(unit_resulting_resolution,[],[f587,f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
      | greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ( greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
        | ~ greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) )
      & ( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
        | ~ greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0] :
      ( greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
    <=> greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X3] :
      ( greater(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))
    <=> greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_growth_rate_difference) ).

fof(f587,plain,
    ( ~ greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1))
    | ~ spl2_12 ),
    inference(subsumption_resolution,[],[f586,f109]) ).

fof(f109,plain,
    environment(sK0),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ( greater_or_equal(sK1,appear(efficient_producers,sK0))
    & in_environment(sK0,critical_point(sK0))
    & environment(sK0)
    & greater(critical_point(sK0),sK1)
    & ~ selection_favors(first_movers,efficient_producers,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f43,f86]) ).

fof(f86,plain,
    ( ? [X0,X1] :
        ( greater_or_equal(X1,appear(efficient_producers,X0))
        & in_environment(X0,critical_point(X0))
        & environment(X0)
        & greater(critical_point(X0),X1)
        & ~ selection_favors(first_movers,efficient_producers,X1) )
   => ( greater_or_equal(sK1,appear(efficient_producers,sK0))
      & in_environment(sK0,critical_point(sK0))
      & environment(sK0)
      & greater(critical_point(sK0),sK1)
      & ~ selection_favors(first_movers,efficient_producers,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ? [X0,X1] :
      ( greater_or_equal(X1,appear(efficient_producers,X0))
      & in_environment(X0,critical_point(X0))
      & environment(X0)
      & greater(critical_point(X0),X1)
      & ~ selection_favors(first_movers,efficient_producers,X1) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ? [X1,X0] :
      ( ~ selection_favors(first_movers,efficient_producers,X1)
      & in_environment(X0,critical_point(X0))
      & greater(critical_point(X0),X1)
      & environment(X0)
      & greater_or_equal(X1,appear(efficient_producers,X0)) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ~ ! [X1,X0] :
        ( ( in_environment(X0,critical_point(X0))
          & greater(critical_point(X0),X1)
          & environment(X0)
          & greater_or_equal(X1,appear(efficient_producers,X0)) )
       => selection_favors(first_movers,efficient_producers,X1) ),
    inference(rectify,[],[f22]) ).

fof(f22,negated_conjecture,
    ~ ! [X0,X3] :
        ( ( in_environment(X0,critical_point(X0))
          & greater_or_equal(X3,appear(efficient_producers,X0))
          & environment(X0)
          & greater(critical_point(X0),X3) )
       => selection_favors(first_movers,efficient_producers,X3) ),
    inference(negated_conjecture,[],[f21]) ).

fof(f21,conjecture,
    ! [X0,X3] :
      ( ( in_environment(X0,critical_point(X0))
        & greater_or_equal(X3,appear(efficient_producers,X0))
        & environment(X0)
        & greater(critical_point(X0),X3) )
     => selection_favors(first_movers,efficient_producers,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3) ).

fof(f586,plain,
    ( ~ environment(sK0)
    | ~ greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1))
    | ~ spl2_12 ),
    inference(subsumption_resolution,[],[f585,f107]) ).

fof(f107,plain,
    ~ selection_favors(first_movers,efficient_producers,sK1),
    inference(cnf_transformation,[],[f87]) ).

fof(f585,plain,
    ( selection_favors(first_movers,efficient_producers,sK1)
    | ~ environment(sK0)
    | ~ greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1))
    | ~ spl2_12 ),
    inference(resolution,[],[f565,f101]) ).

fof(f101,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subpopulations(X1,X2,X3,X0)
      | ~ greater(growth_rate(X2,X0),growth_rate(X1,X0))
      | selection_favors(X2,X1,X0)
      | ~ environment(X3) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1,X2,X3] :
      ( ~ subpopulations(X1,X2,X3,X0)
      | ~ environment(X3)
      | ~ greater(growth_rate(X2,X0),growth_rate(X1,X0))
      | selection_favors(X2,X1,X0) ),
    inference(rectify,[],[f66]) ).

fof(f66,plain,
    ! [X2,X3,X1,X0] :
      ( ~ subpopulations(X3,X1,X0,X2)
      | ~ environment(X0)
      | ~ greater(growth_rate(X1,X2),growth_rate(X3,X2))
      | selection_favors(X1,X3,X2) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ! [X1,X2,X0,X3] :
      ( selection_favors(X1,X3,X2)
      | ~ subpopulations(X3,X1,X0,X2)
      | ~ greater(growth_rate(X1,X2),growth_rate(X3,X2))
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X1,X2,X0,X3] :
      ( ( subpopulations(X3,X1,X0,X2)
        & greater(growth_rate(X1,X2),growth_rate(X3,X2))
        & environment(X0) )
     => selection_favors(X1,X3,X2) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X2,X3,X1] :
      ( ( subpopulations(X1,X2,X0,X3)
        & environment(X0)
        & greater(growth_rate(X2,X3),growth_rate(X1,X3)) )
     => selection_favors(X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates) ).

fof(f565,plain,
    ( subpopulations(efficient_producers,first_movers,sK0,sK1)
    | ~ spl2_12 ),
    inference(unit_resulting_resolution,[],[f109,f552,f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( subpopulations(efficient_producers,first_movers,X1,X0)
      | ~ subpopulations(first_movers,efficient_producers,X1,X0)
      | ~ environment(X1) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ environment(X1)
      | ~ subpopulations(first_movers,efficient_producers,X1,X0)
      | subpopulations(efficient_producers,first_movers,X1,X0) ),
    inference(flattening,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( subpopulations(efficient_producers,first_movers,X1,X0)
      | ~ subpopulations(first_movers,efficient_producers,X1,X0)
      | ~ environment(X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( subpopulations(first_movers,efficient_producers,X1,X0)
        & environment(X1) )
     => subpopulations(efficient_producers,first_movers,X1,X0) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X0] :
      ( ( subpopulations(first_movers,efficient_producers,X0,X3)
        & environment(X0) )
     => subpopulations(efficient_producers,first_movers,X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations) ).

fof(f552,plain,
    ( subpopulations(first_movers,efficient_producers,sK0,sK1)
    | ~ spl2_12 ),
    inference(unit_resulting_resolution,[],[f109,f122,f110,f111,f335,f240]) ).

fof(f240,plain,
    ! [X0,X1] :
      ( subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ in_environment(X0,appear(efficient_producers,X0))
      | ~ environment(X0)
      | ~ greater_or_equal(X1,appear(efficient_producers,X0))
      | ~ in_environment(X0,critical_point(X0))
      | ~ greater_or_equal(critical_point(X0),X1) ),
    inference(duplicate_literal_removal,[],[f234]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ greater_or_equal(X1,appear(efficient_producers,X0))
      | ~ environment(X0)
      | ~ in_environment(X0,appear(efficient_producers,X0))
      | ~ greater_or_equal(critical_point(X0),X1)
      | ~ environment(X0)
      | ~ in_environment(X0,critical_point(X0)) ),
    inference(resolution,[],[f216,f99]) ).

fof(f99,plain,
    ! [X0] :
      ( subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
      | ~ in_environment(X0,appear(efficient_producers,X0))
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
      | ~ in_environment(X0,appear(efficient_producers,X0))
      | ~ environment(X0) ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
      | ~ environment(X0)
      | ~ in_environment(X0,appear(efficient_producers,X0)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ( environment(X0)
        & in_environment(X0,appear(efficient_producers,X0)) )
     => subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears) ).

fof(f216,plain,
    ! [X3,X4,X5] :
      ( ~ subpopulations(first_movers,efficient_producers,X5,X4)
      | ~ in_environment(X5,critical_point(X5))
      | ~ greater_or_equal(critical_point(X5),X3)
      | ~ greater_or_equal(X3,X4)
      | ~ environment(X5)
      | subpopulations(first_movers,efficient_producers,X5,X3) ),
    inference(duplicate_literal_removal,[],[f211]) ).

fof(f211,plain,
    ! [X3,X4,X5] :
      ( ~ in_environment(X5,critical_point(X5))
      | ~ environment(X5)
      | ~ environment(X5)
      | ~ greater_or_equal(X3,X4)
      | ~ subpopulations(first_movers,efficient_producers,X5,X4)
      | subpopulations(first_movers,efficient_producers,X5,X3)
      | ~ greater_or_equal(critical_point(X5),X3) ),
    inference(resolution,[],[f118,f90]) ).

fof(f90,plain,
    ! [X0] :
      ( subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
      | ~ in_environment(X0,critical_point(X0))
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
      | ~ environment(X0)
      | ~ in_environment(X0,critical_point(X0)) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
      | ~ in_environment(X0,critical_point(X0))
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ( in_environment(X0,critical_point(X0))
        & environment(X0) )
     => subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP) ).

fof(f118,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X2)
      | ~ greater_or_equal(X3,X1)
      | subpopulations(first_movers,efficient_producers,X0,X3)
      | ~ greater_or_equal(X2,X3)
      | ~ environment(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1,X2,X3] :
      ( ~ environment(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ subpopulations(first_movers,efficient_producers,X0,X2)
      | ~ greater_or_equal(X3,X1)
      | ~ greater_or_equal(X2,X3)
      | subpopulations(first_movers,efficient_producers,X0,X3) ),
    inference(rectify,[],[f68]) ).

fof(f68,plain,
    ! [X1,X3,X2,X0] :
      ( ~ environment(X1)
      | ~ subpopulations(first_movers,efficient_producers,X1,X3)
      | ~ subpopulations(first_movers,efficient_producers,X1,X2)
      | ~ greater_or_equal(X0,X3)
      | ~ greater_or_equal(X2,X0)
      | subpopulations(first_movers,efficient_producers,X1,X0) ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ! [X0,X3,X2,X1] :
      ( subpopulations(first_movers,efficient_producers,X1,X0)
      | ~ greater_or_equal(X0,X3)
      | ~ subpopulations(first_movers,efficient_producers,X1,X2)
      | ~ subpopulations(first_movers,efficient_producers,X1,X3)
      | ~ greater_or_equal(X2,X0)
      | ~ environment(X1) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X3,X2,X1] :
      ( ( greater_or_equal(X0,X3)
        & subpopulations(first_movers,efficient_producers,X1,X2)
        & subpopulations(first_movers,efficient_producers,X1,X3)
        & greater_or_equal(X2,X0)
        & environment(X1) )
     => subpopulations(first_movers,efficient_producers,X1,X0) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X3,X0,X6,X5] :
      ( ( environment(X0)
        & subpopulations(first_movers,efficient_producers,X0,X5)
        & greater_or_equal(X6,X3)
        & subpopulations(first_movers,efficient_producers,X0,X6)
        & greater_or_equal(X3,X5) )
     => subpopulations(first_movers,efficient_producers,X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10) ).

fof(f335,plain,
    ( in_environment(sK0,appear(efficient_producers,sK0))
    | ~ spl2_12 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f334,plain,
    ( spl2_12
  <=> in_environment(sK0,appear(efficient_producers,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f111,plain,
    greater_or_equal(sK1,appear(efficient_producers,sK0)),
    inference(cnf_transformation,[],[f87]) ).

fof(f110,plain,
    in_environment(sK0,critical_point(sK0)),
    inference(cnf_transformation,[],[f87]) ).

fof(f122,plain,
    greater_or_equal(critical_point(sK0),sK1),
    inference(unit_resulting_resolution,[],[f108,f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ( greater_or_equal(X0,X1)
        | ( ~ greater(X0,X1)
          & X0 != X1 ) )
      & ( greater(X0,X1)
        | X0 = X1
        | ~ greater_or_equal(X0,X1) ) ),
    inference(rectify,[],[f82]) ).

fof(f82,plain,
    ! [X1,X0] :
      ( ( greater_or_equal(X1,X0)
        | ( ~ greater(X1,X0)
          & X0 != X1 ) )
      & ( greater(X1,X0)
        | X0 = X1
        | ~ greater_or_equal(X1,X0) ) ),
    inference(flattening,[],[f81]) ).

fof(f81,plain,
    ! [X1,X0] :
      ( ( greater_or_equal(X1,X0)
        | ( ~ greater(X1,X0)
          & X0 != X1 ) )
      & ( greater(X1,X0)
        | X0 = X1
        | ~ greater_or_equal(X1,X0) ) ),
    inference(nnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X1,X0] :
      ( greater_or_equal(X1,X0)
    <=> ( greater(X1,X0)
        | X0 = X1 ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X8,X7] :
      ( greater_or_equal(X7,X8)
    <=> ( greater(X7,X8)
        | X7 = X8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).

fof(f108,plain,
    greater(critical_point(sK0),sK1),
    inference(cnf_transformation,[],[f87]) ).

fof(f683,plain,
    ( greater(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)),zero)
    | spl2_7
    | ~ spl2_12 ),
    inference(unit_resulting_resolution,[],[f109,f110,f111,f108,f320,f681,f98]) ).

fof(f98,plain,
    ! [X2,X0,X1] :
      ( ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
      | ~ greater_or_equal(X0,appear(efficient_producers,X2))
      | ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
      | ~ greater(X1,X0)
      | greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
      | ~ in_environment(X2,X1)
      | ~ environment(X2) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( ~ in_environment(X2,X1)
      | ~ greater(X1,X0)
      | ~ environment(X2)
      | ~ greater_or_equal(X0,appear(efficient_producers,X2))
      | greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
      | ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
      | ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
    inference(rectify,[],[f53]) ).

fof(f53,plain,
    ! [X0,X2,X1] :
      ( ~ in_environment(X1,X2)
      | ~ greater(X2,X0)
      | ~ environment(X1)
      | ~ greater_or_equal(X0,appear(efficient_producers,X1))
      | greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
      | ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
      | ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X1,X2,X0] :
      ( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
      | ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
      | ~ greater(X2,X0)
      | ~ greater_or_equal(X0,appear(efficient_producers,X1))
      | ~ in_environment(X1,X2)
      | ~ environment(X1)
      | ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X1,X2,X0] :
      ( ( greater(X2,X0)
        & greater_or_equal(X0,appear(efficient_producers,X1))
        & in_environment(X1,X2)
        & environment(X1)
        & greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero) )
     => ( decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
       => greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X3,X0,X4] :
      ( ( greater_or_equal(X3,appear(efficient_producers,X0))
        & greater(X4,X3)
        & in_environment(X0,X4)
        & environment(X0)
        & greater_or_equal(difference(growth_rate(first_movers,X4),growth_rate(efficient_producers,X4)),zero) )
     => ( decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)))
       => greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_decreasing_function) ).

fof(f681,plain,
    ( decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)))
    | ~ spl2_12 ),
    inference(subsumption_resolution,[],[f680,f579]) ).

fof(f579,plain,
    ( ~ decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
    | ~ spl2_12 ),
    inference(subsumption_resolution,[],[f570,f109]) ).

fof(f570,plain,
    ( ~ environment(sK0)
    | ~ decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
    | ~ spl2_12 ),
    inference(resolution,[],[f552,f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0)
      | ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
      | ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
    inference(rectify,[],[f45]) ).

fof(f45,plain,
    ! [X1,X0] :
      ( ~ environment(X1)
      | ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
      | ~ subpopulations(first_movers,efficient_producers,X1,X0) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X1,X0] :
      ( ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
      | ~ environment(X1)
      | ~ subpopulations(first_movers,efficient_producers,X1,X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X1,X0] :
      ( ( environment(X1)
        & subpopulations(first_movers,efficient_producers,X1,X0) )
     => ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X3,X0] :
      ( ( subpopulations(first_movers,efficient_producers,X0,X3)
        & environment(X0) )
     => ~ decreases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3) ).

fof(f680,plain,
    ( decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)))
    | decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
    | ~ spl2_12 ),
    inference(resolution,[],[f566,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))
      | decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
      | decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
      | decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
      | ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
      | ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))
      | decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ( decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))
        & ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) )
     => decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X3] :
      ( ( ~ decreases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)))
        & decreases(difference(founding_rate(first_movers,X3),founding_rate(efficient_producers,X3))) )
     => decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_difference_between_founding_rates) ).

fof(f566,plain,
    ( decreases(difference(founding_rate(first_movers,sK1),founding_rate(efficient_producers,sK1)))
    | ~ spl2_12 ),
    inference(unit_resulting_resolution,[],[f109,f552,f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X1,X0)
      | ~ environment(X1)
      | decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ environment(X1)
      | decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))
      | ~ subpopulations(first_movers,efficient_producers,X1,X0) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ! [X1,X0] :
      ( decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))
      | ~ subpopulations(first_movers,efficient_producers,X1,X0)
      | ~ environment(X1) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X1,X0] :
      ( ( subpopulations(first_movers,efficient_producers,X1,X0)
        & environment(X1) )
     => decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X3,X0] :
      ( ( environment(X0)
        & subpopulations(first_movers,efficient_producers,X0,X3) )
     => decreases(difference(founding_rate(first_movers,X3),founding_rate(efficient_producers,X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12) ).

fof(f320,plain,
    ( greater_or_equal(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero)
    | spl2_7 ),
    inference(unit_resulting_resolution,[],[f109,f123,f301,f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
      | greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
      | greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
      | ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
    inference(rectify,[],[f55]) ).

fof(f55,plain,
    ! [X1,X0] :
      ( ~ environment(X1)
      | greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
      | greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
      | ~ subpopulations(first_movers,efficient_producers,X1,X0) ),
    inference(flattening,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
      | ~ environment(X1)
      | ~ subpopulations(first_movers,efficient_producers,X1,X0)
      | greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ( environment(X1)
        & subpopulations(first_movers,efficient_producers,X1,X0)
        & ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) )
     => greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X3,X0] :
      ( ( environment(X0)
        & subpopulations(first_movers,efficient_producers,X0,X3)
        & ~ greater(zero,difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))) )
     => greater_or_equal(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_relationship_of_growth_rates) ).

fof(f301,plain,
    ( ~ greater(zero,difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))))
    | spl2_7 ),
    inference(unit_resulting_resolution,[],[f204,f93]) ).

fof(f93,plain,
    ! [X0] :
      ( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
      | ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
        | ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) )
      & ( greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
        | ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ) ),
    inference(nnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
    <=> greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X3] :
      ( greater(zero,difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)))
    <=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_negative_growth_rate_difference) ).

fof(f204,plain,
    ( ~ greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0)))
    | spl2_7 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f202,plain,
    ( spl2_7
  <=> greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f123,plain,
    subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0)),
    inference(unit_resulting_resolution,[],[f109,f110,f90]) ).

fof(f535,plain,
    ( ~ spl2_4
    | spl2_12 ),
    inference(avatar_contradiction_clause,[],[f534]) ).

fof(f534,plain,
    ( $false
    | ~ spl2_4
    | spl2_12 ),
    inference(subsumption_resolution,[],[f344,f188]) ).

fof(f188,plain,
    ( critical_point(sK0) = appear(efficient_producers,sK0)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f186,plain,
    ( spl2_4
  <=> critical_point(sK0) = appear(efficient_producers,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f344,plain,
    ( critical_point(sK0) != appear(efficient_producers,sK0)
    | spl2_12 ),
    inference(unit_resulting_resolution,[],[f110,f109,f130,f336,f224]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( appear(efficient_producers,sK0) != X1
      | ~ in_environment(X0,X1)
      | in_environment(X0,appear(efficient_producers,sK0))
      | ~ in_environment(X0,sK1)
      | ~ environment(X0) ),
    inference(resolution,[],[f127,f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ~ greater_or_equal(appear(efficient_producers,sK0),X1)
      | ~ environment(X0)
      | ~ in_environment(X0,sK1)
      | in_environment(X0,appear(efficient_producers,sK0))
      | ~ in_environment(X0,X1) ),
    inference(resolution,[],[f111,f91]) ).

fof(f91,plain,
    ! [X2,X3,X0,X1] :
      ( ~ greater_or_equal(X0,X1)
      | in_environment(X2,X1)
      | ~ greater_or_equal(X1,X3)
      | ~ environment(X2)
      | ~ in_environment(X2,X0)
      | ~ in_environment(X2,X3) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1,X2,X3] :
      ( in_environment(X2,X1)
      | ~ in_environment(X2,X3)
      | ~ in_environment(X2,X0)
      | ~ greater_or_equal(X1,X3)
      | ~ greater_or_equal(X0,X1)
      | ~ environment(X2) ),
    inference(rectify,[],[f47]) ).

fof(f47,plain,
    ! [X3,X1,X0,X2] :
      ( in_environment(X0,X1)
      | ~ in_environment(X0,X2)
      | ~ in_environment(X0,X3)
      | ~ greater_or_equal(X1,X2)
      | ~ greater_or_equal(X3,X1)
      | ~ environment(X0) ),
    inference(flattening,[],[f46]) ).

fof(f46,plain,
    ! [X0,X3,X2,X1] :
      ( in_environment(X0,X1)
      | ~ in_environment(X0,X3)
      | ~ greater_or_equal(X3,X1)
      | ~ environment(X0)
      | ~ in_environment(X0,X2)
      | ~ greater_or_equal(X1,X2) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X3,X2,X1] :
      ( ( in_environment(X0,X3)
        & greater_or_equal(X3,X1)
        & environment(X0)
        & in_environment(X0,X2)
        & greater_or_equal(X1,X2) )
     => in_environment(X0,X1) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X3,X5,X6] :
      ( ( greater_or_equal(X6,X3)
        & environment(X0)
        & greater_or_equal(X3,X5)
        & in_environment(X0,X5)
        & in_environment(X0,X6) )
     => in_environment(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_durations_are_time_intervals) ).

fof(f336,plain,
    ( ~ in_environment(sK0,appear(efficient_producers,sK0))
    | spl2_12 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f130,plain,
    in_environment(sK0,sK1),
    inference(subsumption_resolution,[],[f129,f108]) ).

fof(f129,plain,
    ( ~ greater(critical_point(sK0),sK1)
    | in_environment(sK0,sK1) ),
    inference(subsumption_resolution,[],[f128,f109]) ).

fof(f128,plain,
    ( in_environment(sK0,sK1)
    | ~ environment(sK0)
    | ~ greater(critical_point(sK0),sK1) ),
    inference(subsumption_resolution,[],[f125,f110]) ).

fof(f125,plain,
    ( ~ in_environment(sK0,critical_point(sK0))
    | ~ greater(critical_point(sK0),sK1)
    | in_environment(sK0,sK1)
    | ~ environment(sK0) ),
    inference(resolution,[],[f111,f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ greater_or_equal(X0,appear(efficient_producers,X1))
      | ~ environment(X1)
      | in_environment(X1,X0)
      | ~ greater(critical_point(X1),X0)
      | ~ in_environment(X1,critical_point(X1)) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ in_environment(X1,critical_point(X1))
      | ~ environment(X1)
      | ~ greater_or_equal(X0,appear(efficient_producers,X1))
      | in_environment(X1,X0)
      | ~ greater(critical_point(X1),X0) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( in_environment(X1,X0)
      | ~ environment(X1)
      | ~ greater_or_equal(X0,appear(efficient_producers,X1))
      | ~ in_environment(X1,critical_point(X1))
      | ~ greater(critical_point(X1),X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( environment(X1)
        & greater_or_equal(X0,appear(efficient_producers,X1))
        & in_environment(X1,critical_point(X1))
        & greater(critical_point(X1),X0) )
     => in_environment(X1,X0) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X3,X0] :
      ( ( greater(critical_point(X0),X3)
        & in_environment(X0,critical_point(X0))
        & environment(X0)
        & greater_or_equal(X3,appear(efficient_producers,X0)) )
     => in_environment(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_time_points) ).

fof(f492,plain,
    spl2_10,
    inference(avatar_contradiction_clause,[],[f491]) ).

fof(f491,plain,
    ( $false
    | spl2_10 ),
    inference(trivial_inequality_removal,[],[f487]) ).

fof(f487,plain,
    ( appear(efficient_producers,sK0) != appear(efficient_producers,sK0)
    | spl2_10 ),
    inference(resolution,[],[f326,f103]) ).

fof(f326,plain,
    ( ~ greater_or_equal(appear(efficient_producers,sK0),appear(efficient_producers,sK0))
    | spl2_10 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f325,plain,
    ( spl2_10
  <=> greater_or_equal(appear(efficient_producers,sK0),appear(efficient_producers,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f480,plain,
    ( ~ spl2_10
    | ~ spl2_3
    | spl2_12 ),
    inference(avatar_split_clause,[],[f350,f334,f182,f325]) ).

fof(f182,plain,
    ( spl2_3
  <=> greater(critical_point(sK0),appear(efficient_producers,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f350,plain,
    ( ~ greater_or_equal(appear(efficient_producers,sK0),appear(efficient_producers,sK0))
    | ~ spl2_3
    | spl2_12 ),
    inference(unit_resulting_resolution,[],[f109,f110,f184,f336,f114]) ).

fof(f184,plain,
    ( greater(critical_point(sK0),appear(efficient_producers,sK0))
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f292,plain,
    ~ spl2_7,
    inference(avatar_contradiction_clause,[],[f291]) ).

fof(f291,plain,
    ( $false
    | ~ spl2_7 ),
    inference(trivial_inequality_removal,[],[f285]) ).

fof(f285,plain,
    ( critical_point(sK0) != critical_point(sK0)
    | ~ spl2_7 ),
    inference(unit_resulting_resolution,[],[f109,f203,f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
      | ~ environment(X0)
      | critical_point(X0) != X1 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | critical_point(X0) != X1
      | ( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
        & ! [X2] :
            ( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
            | ~ greater(X2,X1)
            | ~ subpopulations(first_movers,efficient_producers,X0,X2) ) ) ),
    inference(rectify,[],[f73]) ).

fof(f73,plain,
    ! [X1,X0] :
      ( ~ environment(X1)
      | critical_point(X1) != X0
      | ( ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
        & ! [X2] :
            ( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
            | ~ greater(X2,X0)
            | ~ subpopulations(first_movers,efficient_producers,X1,X2) ) ) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ( ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
        & ! [X2] :
            ( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
            | ~ subpopulations(first_movers,efficient_producers,X1,X2)
            | ~ greater(X2,X0) ) )
      | critical_point(X1) != X0
      | ~ environment(X1) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( critical_point(X1) = X0
        & environment(X1) )
     => ( ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
        & ! [X2] :
            ( ( subpopulations(first_movers,efficient_producers,X1,X2)
              & greater(X2,X0) )
           => greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X9,X0] :
      ( ( critical_point(X0) = X9
        & environment(X0) )
     => ( ! [X3] :
            ( ( subpopulations(first_movers,efficient_producers,X0,X3)
              & greater(X3,X9) )
           => greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) )
        & ~ greater(growth_rate(efficient_producers,X9),growth_rate(first_movers,X9)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).

fof(f203,plain,
    ( greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0)))
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f189,plain,
    ( spl2_3
    | spl2_4 ),
    inference(avatar_split_clause,[],[f147,f186,f182]) ).

fof(f147,plain,
    ( critical_point(sK0) = appear(efficient_producers,sK0)
    | greater(critical_point(sK0),appear(efficient_producers,sK0)) ),
    inference(resolution,[],[f134,f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ greater_or_equal(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f134,plain,
    greater_or_equal(critical_point(sK0),appear(efficient_producers,sK0)),
    inference(unit_resulting_resolution,[],[f109,f123,f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X1,X0)
      | greater_or_equal(X0,appear(efficient_producers,X1))
      | ~ environment(X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ environment(X1)
      | greater_or_equal(X0,appear(efficient_producers,X1))
      | ~ subpopulations(first_movers,efficient_producers,X1,X0) ),
    inference(rectify,[],[f58]) ).

fof(f58,plain,
    ! [X1,X0] :
      ( ~ environment(X0)
      | greater_or_equal(X1,appear(efficient_producers,X0))
      | ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( greater_or_equal(X1,appear(efficient_producers,X0))
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( subpopulations(first_movers,efficient_producers,X0,X1)
        & environment(X0) )
     => greater_or_equal(X1,appear(efficient_producers,X0)) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X3] :
      ( ( environment(X0)
        & subpopulations(first_movers,efficient_producers,X0,X3) )
     => greater_or_equal(X3,appear(efficient_producers,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT034+2 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 03:18:49 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  % (1425)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49  % (1433)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.51  % (1415)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (1433)Instruction limit reached!
% 0.20/0.51  % (1433)------------------------------
% 0.20/0.51  % (1433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (1433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (1433)Termination reason: Unknown
% 0.20/0.51  % (1433)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (1433)Memory used [KB]: 6268
% 0.20/0.51  % (1433)Time elapsed: 0.105 s
% 0.20/0.51  % (1433)Instructions burned: 24 (million)
% 0.20/0.51  % (1433)------------------------------
% 0.20/0.51  % (1433)------------------------------
% 1.28/0.51  % (1425)First to succeed.
% 1.28/0.52  % (1408)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.28/0.52  % (1409)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.28/0.52  % (1406)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.28/0.52  % (1410)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.28/0.52  % (1417)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.52  % (1425)Refutation found. Thanks to Tanya!
% 1.28/0.52  % SZS status Theorem for theBenchmark
% 1.28/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.28/0.52  % (1425)------------------------------
% 1.28/0.52  % (1425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52  % (1425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52  % (1425)Termination reason: Refutation
% 1.28/0.52  
% 1.28/0.52  % (1425)Memory used [KB]: 6396
% 1.28/0.52  % (1425)Time elapsed: 0.098 s
% 1.28/0.52  % (1425)Instructions burned: 32 (million)
% 1.28/0.52  % (1425)------------------------------
% 1.28/0.52  % (1425)------------------------------
% 1.28/0.52  % (1403)Success in time 0.175 s
%------------------------------------------------------------------------------