TSTP Solution File: MGT039+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT039+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 : n007.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 17:51:06 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   52
% Syntax   : Number of formulae    :  302 (  10 unt;   0 def)
%            Number of atoms       : 1047 (  41 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives : 1314 ( 569   ~; 578   |;  96   &)
%                                         (  33 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   43 (  41 usr;  32 prp; 0-4 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :  256 ( 245   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f765,plain,
    $false,
    inference(avatar_sat_refutation,[],[f123,f128,f129,f134,f157,f162,f173,f180,f226,f238,f262,f289,f300,f302,f318,f327,f375,f389,f435,f465,f467,f481,f524,f531,f542,f545,f549,f550,f585,f596,f598,f654,f710,f730,f741,f764]) ).

fof(f764,plain,
    ( ~ spl3_7
    | ~ spl3_35
    | spl3_48 ),
    inference(avatar_contradiction_clause,[],[f763]) ).

fof(f763,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_35
    | spl3_48 ),
    inference(subsumption_resolution,[],[f760,f579]) ).

fof(f579,plain,
    ( ~ greater(sK0(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | spl3_48 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f578,plain,
    ( spl3_48
  <=> greater(sK0(sK2(sK1)),appear(efficient_producers,sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).

fof(f760,plain,
    ( greater(sK0(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | ~ spl3_7
    | ~ spl3_35 ),
    inference(resolution,[],[f517,f161]) ).

fof(f161,plain,
    ( greater(sK0(sK2(sK1)),critical_point(sK2(sK1)))
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f159,plain,
    ( spl3_7
  <=> greater(sK0(sK2(sK1)),critical_point(sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f517,plain,
    ( ! [X0] :
        ( ~ greater(X0,critical_point(sK2(sK1)))
        | greater(X0,appear(efficient_producers,sK2(sK1))) )
    | ~ spl3_35 ),
    inference(resolution,[],[f388,f85]) ).

fof(f85,plain,
    ! [X2,X0,X1] :
      ( ~ greater(X1,X2)
      | ~ greater(X0,X1)
      | greater(X0,X2) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X2)
      | ~ greater(X1,X2)
      | ~ greater(X0,X1) ),
    inference(rectify,[],[f45]) ).

fof(f45,plain,
    ! [X2,X1,X0] :
      ( greater(X2,X0)
      | ~ greater(X1,X0)
      | ~ greater(X2,X1) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( greater(X2,X0)
      | ~ greater(X1,X0)
      | ~ greater(X2,X1) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ( greater(X1,X0)
        & greater(X2,X1) )
     => greater(X2,X0) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X7,X6,X5] :
      ( ( greater(X5,X6)
        & greater(X6,X7) )
     => greater(X5,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity) ).

fof(f388,plain,
    ( greater(critical_point(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | ~ spl3_35 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f386,plain,
    ( spl3_35
  <=> greater(critical_point(sK2(sK1)),appear(efficient_producers,sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).

fof(f741,plain,
    ( ~ spl3_1
    | ~ spl3_5
    | spl3_20
    | ~ spl3_49 ),
    inference(avatar_contradiction_clause,[],[f740]) ).

fof(f740,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_5
    | spl3_20
    | ~ spl3_49 ),
    inference(subsumption_resolution,[],[f733,f182]) ).

fof(f182,plain,
    ( greater_or_equal(end_time(sK2(sK1)),sK0(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_5 ),
    inference(resolution,[],[f153,f147]) ).

fof(f147,plain,
    ( ! [X6] :
        ( ~ in_environment(sK2(sK1),X6)
        | greater_or_equal(end_time(sK2(sK1)),X6) )
    | ~ spl3_1 ),
    inference(resolution,[],[f140,f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ environment(X1)
      | ~ in_environment(X1,X0)
      | greater_or_equal(end_time(X1),X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ environment(X1)
      | greater_or_equal(end_time(X1),X0)
      | ~ in_environment(X1,X0) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X1,X0] :
      ( greater_or_equal(end_time(X1),X0)
      | ~ in_environment(X1,X0)
      | ~ environment(X1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X1,X0] :
      ( ( in_environment(X1,X0)
        & environment(X1) )
     => greater_or_equal(end_time(X1),X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X3,X0] :
      ( ( in_environment(X0,X3)
        & environment(X0) )
     => greater_or_equal(end_time(X0),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_end_point) ).

fof(f140,plain,
    ( environment(sK2(sK1))
    | ~ spl3_1 ),
    inference(subsumption_resolution,[],[f139,f102]) ).

fof(f102,plain,
    ~ selection_favors(efficient_producers,first_movers,sK1),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( ~ selection_favors(efficient_producers,first_movers,sK1)
    & observational_period(sK1)
    & slow_change(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f51,f77]) ).

fof(f77,plain,
    ( ? [X0] :
        ( ~ selection_favors(efficient_producers,first_movers,X0)
        & observational_period(X0)
        & slow_change(X0) )
   => ( ~ selection_favors(efficient_producers,first_movers,sK1)
      & observational_period(sK1)
      & slow_change(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f51,plain,
    ? [X0] :
      ( ~ selection_favors(efficient_producers,first_movers,X0)
      & observational_period(X0)
      & slow_change(X0) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ? [X0] :
      ( ~ selection_favors(efficient_producers,first_movers,X0)
      & slow_change(X0)
      & observational_period(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ~ ! [X0] :
        ( ( slow_change(X0)
          & observational_period(X0) )
       => selection_favors(efficient_producers,first_movers,X0) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X4] :
        ( ( observational_period(X4)
          & slow_change(X4) )
       => selection_favors(efficient_producers,first_movers,X4) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X4] :
      ( ( observational_period(X4)
        & slow_change(X4) )
     => selection_favors(efficient_producers,first_movers,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8) ).

fof(f139,plain,
    ( environment(sK2(sK1))
    | selection_favors(efficient_producers,first_movers,sK1)
    | ~ spl3_1 ),
    inference(resolution,[],[f118,f101]) ).

fof(f101,plain,
    observational_period(sK1),
    inference(cnf_transformation,[],[f78]) ).

fof(f118,plain,
    ( ! [X0] :
        ( ~ observational_period(X0)
        | environment(sK2(X0))
        | selection_favors(efficient_producers,first_movers,X0) )
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f117,plain,
    ( spl3_1
  <=> ! [X0] :
        ( environment(sK2(X0))
        | ~ observational_period(X0)
        | selection_favors(efficient_producers,first_movers,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f153,plain,
    ( in_environment(sK2(sK1),sK0(sK2(sK1)))
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl3_5
  <=> in_environment(sK2(sK1),sK0(sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f733,plain,
    ( ~ greater_or_equal(end_time(sK2(sK1)),sK0(sK2(sK1)))
    | spl3_20
    | ~ spl3_49 ),
    inference(backward_demodulation,[],[f257,f584]) ).

fof(f584,plain,
    ( sK0(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
    | ~ spl3_49 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f582,plain,
    ( spl3_49
  <=> sK0(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_49])]) ).

fof(f257,plain,
    ( ~ greater_or_equal(end_time(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | spl3_20 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f255,plain,
    ( spl3_20
  <=> greater_or_equal(end_time(sK2(sK1)),appear(efficient_producers,sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).

fof(f730,plain,
    ( ~ spl3_15
    | spl3_43
    | ~ spl3_48 ),
    inference(avatar_contradiction_clause,[],[f729]) ).

fof(f729,plain,
    ( $false
    | ~ spl3_15
    | spl3_43
    | ~ spl3_48 ),
    inference(subsumption_resolution,[],[f728,f509]) ).

fof(f509,plain,
    ( ~ greater(end_time(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | spl3_43 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f508,plain,
    ( spl3_43
  <=> greater(end_time(sK2(sK1)),appear(efficient_producers,sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_43])]) ).

fof(f728,plain,
    ( greater(end_time(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | ~ spl3_15
    | ~ spl3_48 ),
    inference(resolution,[],[f711,f215]) ).

fof(f215,plain,
    ( greater(end_time(sK2(sK1)),sK0(sK2(sK1)))
    | ~ spl3_15 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f213,plain,
    ( spl3_15
  <=> greater(end_time(sK2(sK1)),sK0(sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f711,plain,
    ( ! [X0] :
        ( ~ greater(X0,sK0(sK2(sK1)))
        | greater(X0,appear(efficient_producers,sK2(sK1))) )
    | ~ spl3_48 ),
    inference(resolution,[],[f580,f85]) ).

fof(f580,plain,
    ( greater(sK0(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | ~ spl3_48 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f710,plain,
    ( ~ spl3_43
    | spl3_20 ),
    inference(avatar_split_clause,[],[f707,f255,f508]) ).

fof(f707,plain,
    ( ~ greater(end_time(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | spl3_20 ),
    inference(resolution,[],[f257,f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( greater_or_equal(X1,X0)
      | ~ greater(X1,X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | X0 = X1
        | ~ greater_or_equal(X1,X0) )
      & ( greater_or_equal(X1,X0)
        | ( ~ greater(X1,X0)
          & X0 != X1 ) ) ),
    inference(rectify,[],[f75]) ).

fof(f75,plain,
    ! [X1,X0] :
      ( ( greater(X0,X1)
        | X0 = X1
        | ~ greater_or_equal(X0,X1) )
      & ( greater_or_equal(X0,X1)
        | ( ~ greater(X0,X1)
          & X0 != X1 ) ) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X1,X0] :
      ( ( greater(X0,X1)
        | X0 = X1
        | ~ greater_or_equal(X0,X1) )
      & ( greater_or_equal(X0,X1)
        | ( ~ greater(X0,X1)
          & X0 != X1 ) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X1,X0] :
      ( ( greater(X0,X1)
        | X0 = X1 )
    <=> greater_or_equal(X0,X1) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X5,X6] :
      ( greater_or_equal(X5,X6)
    <=> ( greater(X5,X6)
        | X5 = X6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).

fof(f654,plain,
    ( spl3_9
    | ~ spl3_25
    | ~ spl3_47 ),
    inference(avatar_contradiction_clause,[],[f653]) ).

fof(f653,plain,
    ( $false
    | spl3_9
    | ~ spl3_25
    | ~ spl3_47 ),
    inference(subsumption_resolution,[],[f645,f558]) ).

fof(f558,plain,
    ( greater(end_time(sK2(sK1)),critical_point(sK2(sK1)))
    | ~ spl3_47 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f556,plain,
    ( spl3_47
  <=> greater(end_time(sK2(sK1)),critical_point(sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_47])]) ).

fof(f645,plain,
    ( ~ greater(end_time(sK2(sK1)),critical_point(sK2(sK1)))
    | spl3_9
    | ~ spl3_25 ),
    inference(backward_demodulation,[],[f568,f299]) ).

fof(f299,plain,
    ( start_time(sK2(sK1)) = critical_point(sK2(sK1))
    | ~ spl3_25 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f297,plain,
    ( spl3_25
  <=> start_time(sK2(sK1)) = critical_point(sK2(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f568,plain,
    ( ~ greater(end_time(sK2(sK1)),start_time(sK2(sK1)))
    | spl3_9 ),
    inference(resolution,[],[f172,f98]) ).

fof(f172,plain,
    ( ~ greater_or_equal(end_time(sK2(sK1)),start_time(sK2(sK1)))
    | spl3_9 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f170,plain,
    ( spl3_9
  <=> greater_or_equal(end_time(sK2(sK1)),start_time(sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f598,plain,
    ( ~ spl3_7
    | ~ spl3_15
    | spl3_47 ),
    inference(avatar_contradiction_clause,[],[f597]) ).

fof(f597,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_15
    | spl3_47 ),
    inference(subsumption_resolution,[],[f587,f557]) ).

fof(f557,plain,
    ( ~ greater(end_time(sK2(sK1)),critical_point(sK2(sK1)))
    | spl3_47 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f587,plain,
    ( greater(end_time(sK2(sK1)),critical_point(sK2(sK1)))
    | ~ spl3_7
    | ~ spl3_15 ),
    inference(resolution,[],[f215,f196]) ).

fof(f196,plain,
    ( ! [X0] :
        ( ~ greater(X0,sK0(sK2(sK1)))
        | greater(X0,critical_point(sK2(sK1))) )
    | ~ spl3_7 ),
    inference(resolution,[],[f161,f85]) ).

fof(f596,plain,
    ( spl3_9
    | ~ spl3_24
    | ~ spl3_47 ),
    inference(avatar_contradiction_clause,[],[f595]) ).

fof(f595,plain,
    ( $false
    | spl3_9
    | ~ spl3_24
    | ~ spl3_47 ),
    inference(subsumption_resolution,[],[f592,f568]) ).

fof(f592,plain,
    ( greater(end_time(sK2(sK1)),start_time(sK2(sK1)))
    | ~ spl3_24
    | ~ spl3_47 ),
    inference(resolution,[],[f558,f356]) ).

fof(f356,plain,
    ( ! [X0] :
        ( ~ greater(X0,critical_point(sK2(sK1)))
        | greater(X0,start_time(sK2(sK1))) )
    | ~ spl3_24 ),
    inference(resolution,[],[f295,f85]) ).

fof(f295,plain,
    ( greater(critical_point(sK2(sK1)),start_time(sK2(sK1)))
    | ~ spl3_24 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f293,plain,
    ( spl3_24
  <=> greater(critical_point(sK2(sK1)),start_time(sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).

fof(f585,plain,
    ( spl3_48
    | spl3_49
    | ~ spl3_11 ),
    inference(avatar_split_clause,[],[f576,f191,f582,f578]) ).

fof(f191,plain,
    ( spl3_11
  <=> greater_or_equal(sK0(sK2(sK1)),appear(efficient_producers,sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f576,plain,
    ( sK0(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
    | greater(sK0(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | ~ spl3_11 ),
    inference(resolution,[],[f192,f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ greater_or_equal(X1,X0)
      | X0 = X1
      | greater(X1,X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f192,plain,
    ( greater_or_equal(sK0(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f550,plain,
    ( spl3_15
    | spl3_14
    | ~ spl3_1
    | ~ spl3_5 ),
    inference(avatar_split_clause,[],[f271,f151,f117,f209,f213]) ).

fof(f209,plain,
    ( spl3_14
  <=> end_time(sK2(sK1)) = sK0(sK2(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f271,plain,
    ( end_time(sK2(sK1)) = sK0(sK2(sK1))
    | greater(end_time(sK2(sK1)),sK0(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_5 ),
    inference(resolution,[],[f182,f99]) ).

fof(f549,plain,
    ( ~ spl3_4
    | ~ spl3_45 ),
    inference(avatar_contradiction_clause,[],[f548]) ).

fof(f548,plain,
    ( $false
    | ~ spl3_4
    | ~ spl3_45 ),
    inference(subsumption_resolution,[],[f547,f101]) ).

fof(f547,plain,
    ( ~ observational_period(sK1)
    | ~ spl3_4
    | ~ spl3_45 ),
    inference(subsumption_resolution,[],[f546,f102]) ).

fof(f546,plain,
    ( selection_favors(efficient_producers,first_movers,sK1)
    | ~ observational_period(sK1)
    | ~ spl3_4
    | ~ spl3_45 ),
    inference(resolution,[],[f541,f133]) ).

fof(f133,plain,
    ( ! [X0] :
        ( ~ selection_favors(efficient_producers,first_movers,end_time(sK2(X0)))
        | selection_favors(efficient_producers,first_movers,X0)
        | ~ observational_period(X0) )
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f132,plain,
    ( spl3_4
  <=> ! [X0] :
        ( selection_favors(efficient_producers,first_movers,X0)
        | ~ selection_favors(efficient_producers,first_movers,end_time(sK2(X0)))
        | ~ observational_period(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f541,plain,
    ( selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
    | ~ spl3_45 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f539,plain,
    ( spl3_45
  <=> selection_favors(efficient_producers,first_movers,end_time(sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).

fof(f545,plain,
    ( ~ spl3_1
    | ~ spl3_28
    | ~ spl3_44 ),
    inference(avatar_contradiction_clause,[],[f544]) ).

fof(f544,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_28
    | ~ spl3_44 ),
    inference(subsumption_resolution,[],[f543,f140]) ).

fof(f543,plain,
    ( ~ environment(sK2(sK1))
    | ~ spl3_28
    | ~ spl3_44 ),
    inference(resolution,[],[f537,f321]) ).

fof(f321,plain,
    ( subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
    | ~ spl3_28 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f320,plain,
    ( spl3_28
  <=> subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).

fof(f537,plain,
    ( ! [X0] :
        ( ~ subpopulations(first_movers,efficient_producers,X0,end_time(sK2(sK1)))
        | ~ environment(X0) )
    | ~ spl3_44 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f536,plain,
    ( spl3_44
  <=> ! [X0] :
        ( ~ subpopulations(first_movers,efficient_producers,X0,end_time(sK2(sK1)))
        | ~ environment(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).

fof(f542,plain,
    ( spl3_44
    | spl3_45
    | ~ spl3_29 ),
    inference(avatar_split_clause,[],[f533,f324,f539,f536]) ).

fof(f324,plain,
    ( spl3_29
  <=> greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).

fof(f533,plain,
    ( ! [X0] :
        ( selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
        | ~ subpopulations(first_movers,efficient_producers,X0,end_time(sK2(sK1)))
        | ~ environment(X0) )
    | ~ spl3_29 ),
    inference(resolution,[],[f326,f105]) ).

fof(f105,plain,
    ! [X2,X3,X0,X1] :
      ( ~ greater(growth_rate(X2,X3),growth_rate(X0,X3))
      | ~ subpopulations(X0,X2,X1,X3)
      | selection_favors(X2,X0,X3)
      | ~ environment(X1) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1,X2,X3] :
      ( ~ environment(X1)
      | ~ greater(growth_rate(X2,X3),growth_rate(X0,X3))
      | ~ subpopulations(X0,X2,X1,X3)
      | selection_favors(X2,X0,X3) ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X3,X2] :
      ( ~ environment(X1)
      | ~ greater(growth_rate(X3,X2),growth_rate(X0,X2))
      | ~ subpopulations(X0,X3,X1,X2)
      | selection_favors(X3,X0,X2) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X3,X2,X1,X0] :
      ( selection_favors(X3,X0,X2)
      | ~ environment(X1)
      | ~ greater(growth_rate(X3,X2),growth_rate(X0,X2))
      | ~ subpopulations(X0,X3,X1,X2) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X3,X2,X1,X0] :
      ( ( environment(X1)
        & greater(growth_rate(X3,X2),growth_rate(X0,X2))
        & subpopulations(X0,X3,X1,X2) )
     => selection_favors(X3,X0,X2) ),
    inference(rectify,[],[f1]) ).

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

fof(f326,plain,
    ( greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
    | ~ spl3_29 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f531,plain,
    ( spl3_29
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(avatar_split_clause,[],[f530,f320,f209,f159,f117,f324]) ).

fof(f530,plain,
    ( greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_28 ),
    inference(subsumption_resolution,[],[f529,f321]) ).

fof(f529,plain,
    ( greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
    | ~ subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_14 ),
    inference(forward_demodulation,[],[f528,f211]) ).

fof(f211,plain,
    ( end_time(sK2(sK1)) = sK0(sK2(sK1))
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f528,plain,
    ( greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
    | ~ subpopulations(first_movers,efficient_producers,sK2(sK1),sK0(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_14 ),
    inference(forward_demodulation,[],[f268,f211]) ).

fof(f268,plain,
    ( ~ subpopulations(first_movers,efficient_producers,sK2(sK1),sK0(sK2(sK1)))
    | greater(growth_rate(efficient_producers,sK0(sK2(sK1))),growth_rate(first_movers,sK0(sK2(sK1))))
    | ~ spl3_1
    | ~ spl3_7 ),
    inference(resolution,[],[f161,f149]) ).

fof(f149,plain,
    ( ! [X8] :
        ( ~ greater(X8,critical_point(sK2(sK1)))
        | greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))
        | ~ subpopulations(first_movers,efficient_producers,sK2(sK1),X8) )
    | ~ spl3_1 ),
    inference(resolution,[],[f140,f113]) ).

fof(f113,plain,
    ! [X2,X1] :
      ( ~ environment(X1)
      | ~ subpopulations(first_movers,efficient_producers,X1,X2)
      | ~ greater(X2,critical_point(X1))
      | greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
    inference(equality_resolution,[],[f86]) ).

fof(f86,plain,
    ! [X2,X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X1,X2)
      | greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
      | ~ greater(X2,X0)
      | critical_point(X1) != X0
      | ~ environment(X1) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ( ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
        & ! [X2] :
            ( ~ subpopulations(first_movers,efficient_producers,X1,X2)
            | greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
            | ~ greater(X2,X0) ) )
      | critical_point(X1) != X0
      | ~ environment(X1) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ! [X1,X0] :
      ( ( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
        & ! [X2] :
            ( ~ subpopulations(first_movers,efficient_producers,X0,X2)
            | greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
            | ~ greater(X2,X1) ) )
      | critical_point(X0) != X1
      | ~ environment(X0) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ! [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))
            | ~ subpopulations(first_movers,efficient_producers,X0,X2)
            | ~ greater(X2,X1) ) )
      | critical_point(X0) != X1
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( critical_point(X0) = X1
        & environment(X0) )
     => ( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
        & ! [X2] :
            ( ( subpopulations(first_movers,efficient_producers,X0,X2)
              & greater(X2,X1) )
           => greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X8] :
      ( ( environment(X0)
        & critical_point(X0) = X8 )
     => ( ~ greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))
        & ! [X3] :
            ( ( subpopulations(first_movers,efficient_producers,X0,X3)
              & greater(X3,X8) )
           => greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).

fof(f524,plain,
    ( spl3_28
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(avatar_split_clause,[],[f523,f259,f250,f166,f117,f320]) ).

fof(f166,plain,
    ( spl3_8
  <=> in_environment(sK2(sK1),end_time(sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f250,plain,
    ( spl3_19
  <=> greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).

fof(f259,plain,
    ( spl3_21
  <=> greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).

fof(f523,plain,
    ( subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f518,f140]) ).

fof(f518,plain,
    ( subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
    | ~ environment(sK2(sK1))
    | ~ spl3_8
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(resolution,[],[f500,f168]) ).

fof(f168,plain,
    ( in_environment(sK2(sK1),end_time(sK2(sK1)))
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f500,plain,
    ( ! [X0] :
        ( ~ in_environment(X0,end_time(sK2(sK1)))
        | ~ environment(X0)
        | subpopulations(first_movers,efficient_producers,X0,end_time(sK2(sK1))) )
    | ~ spl3_19
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f497,f252]) ).

fof(f252,plain,
    ( greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
    | ~ spl3_19 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f497,plain,
    ( ! [X0] :
        ( ~ greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
        | ~ in_environment(X0,end_time(sK2(sK1)))
        | ~ environment(X0)
        | subpopulations(first_movers,efficient_producers,X0,end_time(sK2(sK1))) )
    | ~ spl3_21 ),
    inference(resolution,[],[f261,f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ~ greater(cardinality_at_time(efficient_producers,X1),zero)
      | ~ greater(cardinality_at_time(first_movers,X1),zero)
      | ~ environment(X0)
      | ~ in_environment(X0,X1)
      | subpopulations(first_movers,efficient_producers,X0,X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0)
      | ~ in_environment(X0,X1)
      | ~ greater(cardinality_at_time(efficient_producers,X1),zero)
      | ~ greater(cardinality_at_time(first_movers,X1),zero) ),
    inference(rectify,[],[f60]) ).

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

fof(f59,plain,
    ! [X0,X1] :
      ( subpopulations(first_movers,efficient_producers,X1,X0)
      | ~ environment(X1)
      | ~ in_environment(X1,X0)
      | ~ greater(cardinality_at_time(first_movers,X0),zero)
      | ~ greater(cardinality_at_time(efficient_producers,X0),zero) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ( environment(X1)
        & in_environment(X1,X0)
        & greater(cardinality_at_time(first_movers,X0),zero)
        & greater(cardinality_at_time(efficient_producers,X0),zero) )
     => subpopulations(first_movers,efficient_producers,X1,X0) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X3,X0] :
      ( ( in_environment(X0,X3)
        & greater(cardinality_at_time(efficient_producers,X3),zero)
        & greater(cardinality_at_time(first_movers,X3),zero)
        & environment(X0) )
     => subpopulations(first_movers,efficient_producers,X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contains_FM_and_EP) ).

fof(f261,plain,
    ( greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
    | ~ spl3_21 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f481,plain,
    ( ~ spl3_1
    | ~ spl3_17
    | spl3_20
    | ~ spl3_34 ),
    inference(avatar_contradiction_clause,[],[f480]) ).

fof(f480,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_17
    | spl3_20
    | ~ spl3_34 ),
    inference(subsumption_resolution,[],[f470,f340]) ).

fof(f340,plain,
    ( greater_or_equal(end_time(sK2(sK1)),critical_point(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_17 ),
    inference(resolution,[],[f237,f147]) ).

fof(f237,plain,
    ( in_environment(sK2(sK1),critical_point(sK2(sK1)))
    | ~ spl3_17 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f235,plain,
    ( spl3_17
  <=> in_environment(sK2(sK1),critical_point(sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).

fof(f470,plain,
    ( ~ greater_or_equal(end_time(sK2(sK1)),critical_point(sK2(sK1)))
    | spl3_20
    | ~ spl3_34 ),
    inference(backward_demodulation,[],[f257,f384]) ).

fof(f384,plain,
    ( critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
    | ~ spl3_34 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f382,plain,
    ( spl3_34
  <=> critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).

fof(f467,plain,
    ( ~ spl3_20
    | spl3_11
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f466,f209,f191,f255]) ).

fof(f466,plain,
    ( ~ greater_or_equal(end_time(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | spl3_11
    | ~ spl3_14 ),
    inference(forward_demodulation,[],[f193,f211]) ).

fof(f193,plain,
    ( ~ greater_or_equal(sK0(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | spl3_11 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f465,plain,
    ( ~ spl3_1
    | ~ spl3_4
    | ~ spl3_8
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(avatar_contradiction_clause,[],[f464]) ).

fof(f464,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_4
    | ~ spl3_8
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f463,f102]) ).

fof(f463,plain,
    ( selection_favors(efficient_producers,first_movers,sK1)
    | ~ spl3_1
    | ~ spl3_4
    | ~ spl3_8
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f462,f101]) ).

fof(f462,plain,
    ( ~ observational_period(sK1)
    | selection_favors(efficient_producers,first_movers,sK1)
    | ~ spl3_1
    | ~ spl3_4
    | ~ spl3_8
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(resolution,[],[f461,f133]) ).

fof(f461,plain,
    ( selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f460,f242]) ).

fof(f242,plain,
    ( subpopulation(first_movers,sK2(sK1),end_time(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f168,f145]) ).

fof(f145,plain,
    ( ! [X4] :
        ( ~ in_environment(sK2(sK1),X4)
        | subpopulation(first_movers,sK2(sK1),X4) )
    | ~ spl3_1 ),
    inference(resolution,[],[f140,f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ environment(X1)
      | subpopulation(first_movers,X1,X0)
      | ~ in_environment(X1,X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ in_environment(X1,X0)
      | ~ environment(X1)
      | ( subpopulation(efficient_producers,X1,X0)
        & subpopulation(first_movers,X1,X0) ) ),
    inference(rectify,[],[f37]) ).

fof(f37,plain,
    ! [X1,X0] :
      ( ~ in_environment(X0,X1)
      | ~ environment(X0)
      | ( subpopulation(efficient_producers,X0,X1)
        & subpopulation(first_movers,X0,X1) ) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ! [X1,X0] :
      ( ( subpopulation(efficient_producers,X0,X1)
        & subpopulation(first_movers,X0,X1) )
      | ~ environment(X0)
      | ~ in_environment(X0,X1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X1,X0] :
      ( ( environment(X0)
        & in_environment(X0,X1) )
     => ( subpopulation(efficient_producers,X0,X1)
        & subpopulation(first_movers,X0,X1) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X3] :
      ( ( in_environment(X0,X3)
        & environment(X0) )
     => ( subpopulation(first_movers,X0,X3)
        & subpopulation(efficient_producers,X0,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations) ).

fof(f460,plain,
    ( ~ subpopulation(first_movers,sK2(sK1),end_time(sK2(sK1)))
    | selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(trivial_inequality_removal,[],[f459]) ).

fof(f459,plain,
    ( selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
    | zero != zero
    | ~ subpopulation(first_movers,sK2(sK1),end_time(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_18
    | ~ spl3_21 ),
    inference(superposition,[],[f458,f248]) ).

fof(f248,plain,
    ( zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
    | ~ spl3_18 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl3_18
  <=> zero = cardinality_at_time(first_movers,end_time(sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).

fof(f458,plain,
    ( ! [X0] :
        ( zero != cardinality_at_time(X0,end_time(sK2(sK1)))
        | ~ subpopulation(X0,sK2(sK1),end_time(sK2(sK1)))
        | selection_favors(efficient_producers,X0,end_time(sK2(sK1))) )
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(subsumption_resolution,[],[f457,f140]) ).

fof(f457,plain,
    ( ! [X0] :
        ( zero != cardinality_at_time(X0,end_time(sK2(sK1)))
        | selection_favors(efficient_producers,X0,end_time(sK2(sK1)))
        | ~ environment(sK2(sK1))
        | ~ subpopulation(X0,sK2(sK1),end_time(sK2(sK1))) )
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_21 ),
    inference(resolution,[],[f440,f241]) ).

fof(f241,plain,
    ( subpopulation(efficient_producers,sK2(sK1),end_time(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f168,f146]) ).

fof(f146,plain,
    ( ! [X5] :
        ( ~ in_environment(sK2(sK1),X5)
        | subpopulation(efficient_producers,sK2(sK1),X5) )
    | ~ spl3_1 ),
    inference(resolution,[],[f140,f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ environment(X1)
      | ~ in_environment(X1,X0)
      | subpopulation(efficient_producers,X1,X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f440,plain,
    ( ! [X2,X1] :
        ( ~ subpopulation(efficient_producers,X2,end_time(sK2(sK1)))
        | zero != cardinality_at_time(X1,end_time(sK2(sK1)))
        | ~ environment(X2)
        | selection_favors(efficient_producers,X1,end_time(sK2(sK1)))
        | ~ subpopulation(X1,X2,end_time(sK2(sK1))) )
    | ~ spl3_21 ),
    inference(resolution,[],[f261,f95]) ).

fof(f95,plain,
    ! [X2,X3,X0,X1] :
      ( ~ greater(cardinality_at_time(X1,X3),zero)
      | selection_favors(X1,X2,X3)
      | ~ subpopulation(X2,X0,X3)
      | ~ subpopulation(X1,X0,X3)
      | ~ environment(X0)
      | zero != cardinality_at_time(X2,X3) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1,X2,X3] :
      ( selection_favors(X1,X2,X3)
      | ~ greater(cardinality_at_time(X1,X3),zero)
      | ~ subpopulation(X2,X0,X3)
      | zero != cardinality_at_time(X2,X3)
      | ~ environment(X0)
      | ~ subpopulation(X1,X0,X3) ),
    inference(rectify,[],[f43]) ).

fof(f43,plain,
    ! [X3,X2,X1,X0] :
      ( selection_favors(X2,X1,X0)
      | ~ greater(cardinality_at_time(X2,X0),zero)
      | ~ subpopulation(X1,X3,X0)
      | zero != cardinality_at_time(X1,X0)
      | ~ environment(X3)
      | ~ subpopulation(X2,X3,X0) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X3,X1,X2,X0] :
      ( selection_favors(X2,X1,X0)
      | zero != cardinality_at_time(X1,X0)
      | ~ subpopulation(X1,X3,X0)
      | ~ subpopulation(X2,X3,X0)
      | ~ environment(X3)
      | ~ greater(cardinality_at_time(X2,X0),zero) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X3,X1,X2,X0] :
      ( ( zero = cardinality_at_time(X1,X0)
        & subpopulation(X1,X3,X0)
        & subpopulation(X2,X3,X0)
        & environment(X3)
        & greater(cardinality_at_time(X2,X0),zero) )
     => selection_favors(X2,X1,X0) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X3,X2,X1,X0] :
      ( ( environment(X0)
        & subpopulation(X1,X0,X3)
        & greater(cardinality_at_time(X1,X3),zero)
        & zero = cardinality_at_time(X2,X3)
        & subpopulation(X2,X0,X3) )
     => selection_favors(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp2_favour_members) ).

fof(f435,plain,
    ( ~ spl3_7
    | ~ spl3_14
    | spl3_20
    | ~ spl3_35 ),
    inference(avatar_contradiction_clause,[],[f434]) ).

fof(f434,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_14
    | spl3_20
    | ~ spl3_35 ),
    inference(subsumption_resolution,[],[f426,f359]) ).

fof(f359,plain,
    ( ~ greater(end_time(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | spl3_20 ),
    inference(resolution,[],[f257,f98]) ).

fof(f426,plain,
    ( greater(end_time(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | ~ spl3_7
    | ~ spl3_14
    | ~ spl3_35 ),
    inference(resolution,[],[f390,f329]) ).

fof(f329,plain,
    ( greater(end_time(sK2(sK1)),critical_point(sK2(sK1)))
    | ~ spl3_7
    | ~ spl3_14 ),
    inference(backward_demodulation,[],[f161,f211]) ).

fof(f390,plain,
    ( ! [X0] :
        ( ~ greater(X0,critical_point(sK2(sK1)))
        | greater(X0,appear(efficient_producers,sK2(sK1))) )
    | ~ spl3_35 ),
    inference(resolution,[],[f388,f85]) ).

fof(f389,plain,
    ( spl3_34
    | spl3_35
    | ~ spl3_31 ),
    inference(avatar_split_clause,[],[f380,f349,f386,f382]) ).

fof(f349,plain,
    ( spl3_31
  <=> greater_or_equal(critical_point(sK2(sK1)),appear(efficient_producers,sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).

fof(f380,plain,
    ( greater(critical_point(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
    | ~ spl3_31 ),
    inference(resolution,[],[f350,f99]) ).

fof(f350,plain,
    ( greater_or_equal(critical_point(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | ~ spl3_31 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f375,plain,
    ( ~ spl3_1
    | spl3_31 ),
    inference(avatar_contradiction_clause,[],[f374]) ).

fof(f374,plain,
    ( $false
    | ~ spl3_1
    | spl3_31 ),
    inference(subsumption_resolution,[],[f372,f140]) ).

fof(f372,plain,
    ( ~ environment(sK2(sK1))
    | spl3_31 ),
    inference(resolution,[],[f351,f96]) ).

fof(f96,plain,
    ! [X0] :
      ( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f12]) ).

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

fof(f351,plain,
    ( ~ greater_or_equal(critical_point(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | spl3_31 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f327,plain,
    ( ~ spl3_28
    | spl3_29
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_15 ),
    inference(avatar_split_clause,[],[f315,f213,f159,f117,f324,f320]) ).

fof(f315,plain,
    ( greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
    | ~ subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_15 ),
    inference(resolution,[],[f290,f149]) ).

fof(f290,plain,
    ( greater(end_time(sK2(sK1)),critical_point(sK2(sK1)))
    | ~ spl3_7
    | ~ spl3_15 ),
    inference(resolution,[],[f196,f215]) ).

fof(f318,plain,
    ( spl3_17
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_15
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f317,f231,f213,f159,f117,f235]) ).

fof(f231,plain,
    ( spl3_16
  <=> greater_or_equal(critical_point(sK2(sK1)),start_time(sK2(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).

fof(f317,plain,
    ( in_environment(sK2(sK1),critical_point(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_15
    | ~ spl3_16 ),
    inference(subsumption_resolution,[],[f314,f232]) ).

fof(f232,plain,
    ( greater_or_equal(critical_point(sK2(sK1)),start_time(sK2(sK1)))
    | ~ spl3_16 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f314,plain,
    ( ~ greater_or_equal(critical_point(sK2(sK1)),start_time(sK2(sK1)))
    | in_environment(sK2(sK1),critical_point(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_15 ),
    inference(resolution,[],[f290,f164]) ).

fof(f164,plain,
    ( ! [X0] :
        ( ~ greater(end_time(sK2(sK1)),X0)
        | ~ greater_or_equal(X0,start_time(sK2(sK1)))
        | in_environment(sK2(sK1),X0) )
    | ~ spl3_1 ),
    inference(resolution,[],[f142,f98]) ).

fof(f142,plain,
    ( ! [X1] :
        ( ~ greater_or_equal(end_time(sK2(sK1)),X1)
        | ~ greater_or_equal(X1,start_time(sK2(sK1)))
        | in_environment(sK2(sK1),X1) )
    | ~ spl3_1 ),
    inference(resolution,[],[f140,f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ~ environment(X1)
      | in_environment(X1,X0)
      | ~ greater_or_equal(X0,start_time(X1))
      | ~ greater_or_equal(end_time(X1),X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( in_environment(X1,X0)
      | ~ greater_or_equal(end_time(X1),X0)
      | ~ environment(X1)
      | ~ greater_or_equal(X0,start_time(X1)) ),
    inference(rectify,[],[f56]) ).

fof(f56,plain,
    ! [X1,X0] :
      ( in_environment(X0,X1)
      | ~ greater_or_equal(end_time(X0),X1)
      | ~ environment(X0)
      | ~ greater_or_equal(X1,start_time(X0)) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( in_environment(X0,X1)
      | ~ environment(X0)
      | ~ greater_or_equal(end_time(X0),X1)
      | ~ greater_or_equal(X1,start_time(X0)) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( environment(X0)
        & greater_or_equal(end_time(X0),X1)
        & greater_or_equal(X1,start_time(X0)) )
     => in_environment(X0,X1) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X3] :
      ( ( environment(X0)
        & greater_or_equal(X3,start_time(X0))
        & greater_or_equal(end_time(X0),X3) )
     => in_environment(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_in_environment) ).

fof(f302,plain,
    ( spl3_18
    | spl3_19
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(avatar_split_clause,[],[f301,f166,f117,f250,f246]) ).

fof(f301,plain,
    ( greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
    | zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f243,f99]) ).

fof(f243,plain,
    ( greater_or_equal(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f168,f141]) ).

fof(f141,plain,
    ( ! [X0] :
        ( ~ in_environment(sK2(sK1),X0)
        | greater_or_equal(cardinality_at_time(first_movers,X0),zero) )
    | ~ spl3_1 ),
    inference(resolution,[],[f140,f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ environment(X1)
      | greater_or_equal(cardinality_at_time(first_movers,X0),zero)
      | ~ in_environment(X1,X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ environment(X1)
      | ~ in_environment(X1,X0)
      | greater_or_equal(cardinality_at_time(first_movers,X0),zero) ),
    inference(rectify,[],[f58]) ).

fof(f58,plain,
    ! [X1,X0] :
      ( ~ environment(X0)
      | ~ in_environment(X0,X1)
      | greater_or_equal(cardinality_at_time(first_movers,X1),zero) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
      | ~ environment(X0)
      | ~ in_environment(X0,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( environment(X0)
        & in_environment(X0,X1) )
     => greater_or_equal(cardinality_at_time(first_movers,X1),zero) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X3] :
      ( ( environment(X0)
        & in_environment(X0,X3) )
     => greater_or_equal(cardinality_at_time(first_movers,X3),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_exist) ).

fof(f300,plain,
    ( spl3_24
    | spl3_25
    | ~ spl3_16 ),
    inference(avatar_split_clause,[],[f291,f231,f297,f293]) ).

fof(f291,plain,
    ( start_time(sK2(sK1)) = critical_point(sK2(sK1))
    | greater(critical_point(sK2(sK1)),start_time(sK2(sK1)))
    | ~ spl3_16 ),
    inference(resolution,[],[f232,f99]) ).

fof(f289,plain,
    ( ~ spl3_1
    | spl3_16 ),
    inference(avatar_contradiction_clause,[],[f288]) ).

fof(f288,plain,
    ( $false
    | ~ spl3_1
    | spl3_16 ),
    inference(subsumption_resolution,[],[f286,f140]) ).

fof(f286,plain,
    ( ~ environment(sK2(sK1))
    | spl3_16 ),
    inference(resolution,[],[f233,f93]) ).

fof(f93,plain,
    ! [X0] :
      ( greater_or_equal(critical_point(X0),start_time(X0))
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ environment(X0)
      | greater_or_equal(critical_point(X0),start_time(X0)) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( environment(X0)
     => greater_or_equal(critical_point(X0),start_time(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_of_critical_point) ).

fof(f233,plain,
    ( ~ greater_or_equal(critical_point(sK2(sK1)),start_time(sK2(sK1)))
    | spl3_16 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f262,plain,
    ( ~ spl3_20
    | spl3_21
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(avatar_split_clause,[],[f239,f166,f117,f259,f255]) ).

fof(f239,plain,
    ( greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
    | ~ greater_or_equal(end_time(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f168,f148]) ).

fof(f148,plain,
    ( ! [X7] :
        ( ~ in_environment(sK2(sK1),X7)
        | ~ greater_or_equal(X7,appear(efficient_producers,sK2(sK1)))
        | greater(cardinality_at_time(efficient_producers,X7),zero) )
    | ~ spl3_1 ),
    inference(resolution,[],[f140,f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | greater(cardinality_at_time(efficient_producers,X1),zero)
      | ~ in_environment(X0,X1)
      | ~ greater_or_equal(X1,appear(efficient_producers,X0)) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ~ in_environment(X0,X1)
      | ~ greater_or_equal(X1,appear(efficient_producers,X0))
      | ~ environment(X0)
      | greater(cardinality_at_time(efficient_producers,X1),zero) ),
    inference(rectify,[],[f54]) ).

fof(f54,plain,
    ! [X1,X0] :
      ( ~ in_environment(X1,X0)
      | ~ greater_or_equal(X0,appear(efficient_producers,X1))
      | ~ environment(X1)
      | greater(cardinality_at_time(efficient_producers,X0),zero) ),
    inference(flattening,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( greater(cardinality_at_time(efficient_producers,X0),zero)
      | ~ greater_or_equal(X0,appear(efficient_producers,X1))
      | ~ in_environment(X1,X0)
      | ~ environment(X1) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( greater_or_equal(X0,appear(efficient_producers,X1))
        & in_environment(X1,X0)
        & environment(X1) )
     => greater(cardinality_at_time(efficient_producers,X0),zero) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X3,X0] :
      ( ( in_environment(X0,X3)
        & greater_or_equal(X3,appear(efficient_producers,X0))
        & environment(X0) )
     => greater(cardinality_at_time(efficient_producers,X3),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6) ).

fof(f238,plain,
    ( ~ spl3_16
    | spl3_17
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f227,f209,f159,f117,f235,f231]) ).

fof(f227,plain,
    ( in_environment(sK2(sK1),critical_point(sK2(sK1)))
    | ~ greater_or_equal(critical_point(sK2(sK1)),start_time(sK2(sK1)))
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_14 ),
    inference(resolution,[],[f218,f164]) ).

fof(f218,plain,
    ( greater(end_time(sK2(sK1)),critical_point(sK2(sK1)))
    | ~ spl3_7
    | ~ spl3_14 ),
    inference(backward_demodulation,[],[f161,f211]) ).

fof(f226,plain,
    ( spl3_8
    | ~ spl3_5
    | ~ spl3_14 ),
    inference(avatar_split_clause,[],[f217,f209,f151,f166]) ).

fof(f217,plain,
    ( in_environment(sK2(sK1),end_time(sK2(sK1)))
    | ~ spl3_5
    | ~ spl3_14 ),
    inference(backward_demodulation,[],[f153,f211]) ).

fof(f180,plain,
    ( ~ spl3_3
    | ~ spl3_6 ),
    inference(avatar_contradiction_clause,[],[f179]) ).

fof(f179,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_6 ),
    inference(subsumption_resolution,[],[f178,f101]) ).

fof(f178,plain,
    ( ~ observational_period(sK1)
    | ~ spl3_3
    | ~ spl3_6 ),
    inference(subsumption_resolution,[],[f177,f100]) ).

fof(f100,plain,
    slow_change(sK1),
    inference(cnf_transformation,[],[f78]) ).

fof(f177,plain,
    ( ~ slow_change(sK1)
    | ~ observational_period(sK1)
    | ~ spl3_3
    | ~ spl3_6 ),
    inference(resolution,[],[f176,f156]) ).

fof(f156,plain,
    ( ! [X3] :
        ( ~ in_environment(X3,sK2(sK1))
        | ~ observational_period(X3)
        | ~ slow_change(X3) )
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f155,plain,
    ( spl3_6
  <=> ! [X3] :
        ( ~ slow_change(X3)
        | ~ in_environment(X3,sK2(sK1))
        | ~ observational_period(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f176,plain,
    ( in_environment(sK1,sK2(sK1))
    | ~ spl3_3 ),
    inference(subsumption_resolution,[],[f175,f102]) ).

fof(f175,plain,
    ( in_environment(sK1,sK2(sK1))
    | selection_favors(efficient_producers,first_movers,sK1)
    | ~ spl3_3 ),
    inference(resolution,[],[f127,f101]) ).

fof(f127,plain,
    ( ! [X0] :
        ( ~ observational_period(X0)
        | selection_favors(efficient_producers,first_movers,X0)
        | in_environment(X0,sK2(X0)) )
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f126,plain,
    ( spl3_3
  <=> ! [X0] :
        ( ~ observational_period(X0)
        | in_environment(X0,sK2(X0))
        | selection_favors(efficient_producers,first_movers,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f173,plain,
    ( spl3_8
    | ~ spl3_9
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f163,f117,f170,f166]) ).

fof(f163,plain,
    ( ~ greater_or_equal(end_time(sK2(sK1)),start_time(sK2(sK1)))
    | in_environment(sK2(sK1),end_time(sK2(sK1)))
    | ~ spl3_1 ),
    inference(resolution,[],[f142,f114]) ).

fof(f114,plain,
    ! [X1] : greater_or_equal(X1,X1),
    inference(equality_resolution,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( greater_or_equal(X1,X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f162,plain,
    ( spl3_7
    | spl3_6
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f143,f117,f155,f159]) ).

fof(f143,plain,
    ( ! [X2] :
        ( ~ in_environment(X2,sK2(sK1))
        | ~ slow_change(X2)
        | greater(sK0(sK2(sK1)),critical_point(sK2(sK1)))
        | ~ observational_period(X2) )
    | ~ spl3_1 ),
    inference(resolution,[],[f140,f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ environment(X1)
      | greater(sK0(X1),critical_point(X1))
      | ~ slow_change(X0)
      | ~ in_environment(X0,X1)
      | ~ observational_period(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ~ observational_period(X0)
      | ! [X1] :
          ( ~ in_environment(X0,X1)
          | ( in_environment(X1,sK0(X1))
            & greater(sK0(X1),critical_point(X1)) )
          | ~ environment(X1) )
      | ~ slow_change(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f41,f70]) ).

fof(f70,plain,
    ! [X1] :
      ( ? [X2] :
          ( in_environment(X1,X2)
          & greater(X2,critical_point(X1)) )
     => ( in_environment(X1,sK0(X1))
        & greater(sK0(X1),critical_point(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ! [X0] :
      ( ~ observational_period(X0)
      | ! [X1] :
          ( ~ in_environment(X0,X1)
          | ? [X2] :
              ( in_environment(X1,X2)
              & greater(X2,critical_point(X1)) )
          | ~ environment(X1) )
      | ~ slow_change(X0) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( in_environment(X1,X2)
              & greater(X2,critical_point(X1)) )
          | ~ in_environment(X0,X1)
          | ~ environment(X1) )
      | ~ slow_change(X0)
      | ~ observational_period(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ( slow_change(X0)
        & observational_period(X0) )
     => ! [X1] :
          ( ( in_environment(X0,X1)
            & environment(X1) )
         => ? [X2] :
              ( in_environment(X1,X2)
              & greater(X2,critical_point(X1)) ) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X4] :
      ( ( observational_period(X4)
        & slow_change(X4) )
     => ! [X0] :
          ( ( in_environment(X4,X0)
            & environment(X0) )
         => ? [X3] :
              ( greater(X3,critical_point(X0))
              & in_environment(X0,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point) ).

fof(f157,plain,
    ( spl3_5
    | spl3_6
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f144,f117,f155,f151]) ).

fof(f144,plain,
    ( ! [X3] :
        ( ~ slow_change(X3)
        | ~ observational_period(X3)
        | ~ in_environment(X3,sK2(sK1))
        | in_environment(sK2(sK1),sK0(sK2(sK1))) )
    | ~ spl3_1 ),
    inference(resolution,[],[f140,f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ~ environment(X1)
      | ~ observational_period(X0)
      | in_environment(X1,sK0(X1))
      | ~ in_environment(X0,X1)
      | ~ slow_change(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f134,plain,
    ( spl3_4
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f130,f120,f132]) ).

fof(f120,plain,
    ( spl3_2
  <=> propagation_strategy(first_movers) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f130,plain,
    ! [X0] :
      ( ~ propagation_strategy(first_movers)
      | selection_favors(efficient_producers,first_movers,X0)
      | ~ observational_period(X0)
      | ~ selection_favors(efficient_producers,first_movers,end_time(sK2(X0))) ),
    inference(subsumption_resolution,[],[f110,f84]) ).

fof(f84,plain,
    propagation_strategy(efficient_producers),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    propagation_strategy(efficient_producers),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets2) ).

fof(f110,plain,
    ! [X0] :
      ( ~ selection_favors(efficient_producers,first_movers,end_time(sK2(X0)))
      | ~ propagation_strategy(efficient_producers)
      | ~ observational_period(X0)
      | ~ propagation_strategy(first_movers)
      | selection_favors(efficient_producers,first_movers,X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0] :
      ( ( ~ selection_favors(efficient_producers,first_movers,end_time(sK2(X0)))
        & in_environment(X0,sK2(X0))
        & environment(sK2(X0)) )
      | selection_favors(efficient_producers,first_movers,X0)
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f62,f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
          & in_environment(X0,X1)
          & environment(X1) )
     => ( ~ selection_favors(efficient_producers,first_movers,end_time(sK2(X0)))
        & in_environment(X0,sK2(X0))
        & environment(sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
          & in_environment(X0,X1)
          & environment(X1) )
      | selection_favors(efficient_producers,first_movers,X0)
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(X0) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( selection_favors(efficient_producers,first_movers,X0)
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ? [X1] :
          ( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
          & environment(X1)
          & in_environment(X0,X1) )
      | ~ observational_period(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ( propagation_strategy(efficient_producers)
        & propagation_strategy(first_movers)
        & ! [X1] :
            ( ( environment(X1)
              & in_environment(X0,X1) )
           => selection_favors(efficient_producers,first_movers,end_time(X1)) )
        & observational_period(X0) )
     => selection_favors(efficient_producers,first_movers,X0) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X4] :
      ( ( propagation_strategy(first_movers)
        & observational_period(X4)
        & ! [X0] :
            ( ( in_environment(X4,X0)
              & environment(X0) )
           => selection_favors(efficient_producers,first_movers,end_time(X0)) )
        & propagation_strategy(efficient_producers) )
     => selection_favors(efficient_producers,first_movers,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy) ).

fof(f129,plain,
    spl3_2,
    inference(avatar_split_clause,[],[f90,f120]) ).

fof(f90,plain,
    propagation_strategy(first_movers),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    propagation_strategy(first_movers),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets1) ).

fof(f128,plain,
    ( ~ spl3_2
    | spl3_3 ),
    inference(avatar_split_clause,[],[f124,f126,f120]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ observational_period(X0)
      | selection_favors(efficient_producers,first_movers,X0)
      | in_environment(X0,sK2(X0))
      | ~ propagation_strategy(first_movers) ),
    inference(subsumption_resolution,[],[f109,f84]) ).

fof(f109,plain,
    ! [X0] :
      ( selection_favors(efficient_producers,first_movers,X0)
      | ~ observational_period(X0)
      | ~ propagation_strategy(first_movers)
      | in_environment(X0,sK2(X0))
      | ~ propagation_strategy(efficient_producers) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f123,plain,
    ( spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f115,f120,f117]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ propagation_strategy(first_movers)
      | environment(sK2(X0))
      | selection_favors(efficient_producers,first_movers,X0)
      | ~ observational_period(X0) ),
    inference(subsumption_resolution,[],[f108,f84]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ propagation_strategy(efficient_producers)
      | selection_favors(efficient_producers,first_movers,X0)
      | ~ propagation_strategy(first_movers)
      | environment(sK2(X0))
      | ~ observational_period(X0) ),
    inference(cnf_transformation,[],[f83]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : MGT039+2 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 03:06:30 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.42  % (32411)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.43  % (32411)Instruction limit reached!
% 0.20/0.43  % (32411)------------------------------
% 0.20/0.43  % (32411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.44  % (32403)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)
% 0.20/0.44  % (32411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.44  % (32411)Termination reason: Unknown
% 0.20/0.44  % (32411)Termination phase: Saturation
% 0.20/0.44  
% 0.20/0.44  % (32411)Memory used [KB]: 1407
% 0.20/0.44  % (32411)Time elapsed: 0.003 s
% 0.20/0.44  % (32411)Instructions burned: 3 (million)
% 0.20/0.44  % (32411)------------------------------
% 0.20/0.44  % (32411)------------------------------
% 0.20/0.45  % (32419)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.48  % (32398)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.49  % (32403)Instruction limit reached!
% 0.20/0.49  % (32403)------------------------------
% 0.20/0.49  % (32403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (32403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (32403)Termination reason: Unknown
% 0.20/0.49  % (32403)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (32403)Memory used [KB]: 6396
% 0.20/0.49  % (32403)Time elapsed: 0.097 s
% 0.20/0.49  % (32403)Instructions burned: 39 (million)
% 0.20/0.49  % (32403)------------------------------
% 0.20/0.49  % (32403)------------------------------
% 0.20/0.50  % (32422)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.50  % (32398)Refutation not found, incomplete strategy% (32398)------------------------------
% 0.20/0.50  % (32398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (32398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (32398)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (32398)Memory used [KB]: 6012
% 0.20/0.50  % (32398)Time elapsed: 0.103 s
% 0.20/0.50  % (32398)Instructions burned: 4 (million)
% 0.20/0.50  % (32398)------------------------------
% 0.20/0.50  % (32398)------------------------------
% 0.20/0.50  % (32406)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51  % (32406)Refutation not found, incomplete strategy% (32406)------------------------------
% 0.20/0.51  % (32406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (32406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (32406)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (32406)Memory used [KB]: 6012
% 0.20/0.51  % (32406)Time elapsed: 0.108 s
% 0.20/0.51  % (32406)Instructions burned: 5 (million)
% 0.20/0.51  % (32406)------------------------------
% 0.20/0.51  % (32406)------------------------------
% 0.20/0.51  % (32400)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (32400)Refutation not found, incomplete strategy% (32400)------------------------------
% 0.20/0.52  % (32400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (32400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (32400)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (32400)Memory used [KB]: 6012
% 0.20/0.52  % (32400)Time elapsed: 0.113 s
% 0.20/0.52  % (32400)Instructions burned: 5 (million)
% 0.20/0.52  % (32400)------------------------------
% 0.20/0.52  % (32400)------------------------------
% 0.20/0.52  % (32412)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (32423)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (32402)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)
% 0.20/0.52  % (32397)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52  % (32399)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)
% 0.20/0.52  % (32402)Refutation not found, incomplete strategy% (32402)------------------------------
% 0.20/0.52  % (32402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (32402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (32402)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (32402)Memory used [KB]: 1535
% 0.20/0.52  % (32402)Time elapsed: 0.125 s
% 0.20/0.52  % (32402)Instructions burned: 5 (million)
% 0.20/0.52  % (32402)------------------------------
% 0.20/0.52  % (32402)------------------------------
% 0.20/0.53  % (32399)Instruction limit reached!
% 0.20/0.53  % (32399)------------------------------
% 0.20/0.53  % (32399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (32399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (32399)Termination reason: Unknown
% 0.20/0.53  % (32399)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (32399)Memory used [KB]: 1535
% 0.20/0.53  % (32399)Time elapsed: 0.002 s
% 0.20/0.53  % (32399)Instructions burned: 3 (million)
% 0.20/0.53  % (32399)------------------------------
% 0.20/0.53  % (32399)------------------------------
% 0.20/0.53  % (32422)First to succeed.
% 0.20/0.53  % (32444)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/92Mi)
% 0.20/0.53  % (32401)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)
% 0.20/0.53  % (32425)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53  % (32426)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)
% 0.20/0.53  % (32404)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53  % (32414)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (32408)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)
% 0.20/0.53  % (32414)Instruction limit reached!
% 0.20/0.53  % (32414)------------------------------
% 0.20/0.53  % (32414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (32414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (32414)Termination reason: Unknown
% 0.20/0.53  % (32414)Termination phase: Finite model building preprocessing
% 0.20/0.53  
% 0.20/0.53  % (32414)Memory used [KB]: 1535
% 0.20/0.53  % (32414)Time elapsed: 0.003 s
% 0.20/0.53  % (32414)Instructions burned: 4 (million)
% 0.20/0.53  % (32414)------------------------------
% 0.20/0.53  % (32414)------------------------------
% 0.20/0.53  % (32420)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54  % (32408)Refutation not found, incomplete strategy% (32408)------------------------------
% 0.20/0.54  % (32408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (32418)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)
% 0.20/0.54  % (32417)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54  % (32419)Instruction limit reached!
% 0.20/0.54  % (32419)------------------------------
% 0.20/0.54  % (32419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (32423)Refutation not found, incomplete strategy% (32423)------------------------------
% 0.20/0.54  % (32423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (32423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (32423)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (32423)Memory used [KB]: 6012
% 0.20/0.54  % (32423)Time elapsed: 0.138 s
% 0.20/0.54  % (32423)Instructions burned: 2 (million)
% 0.20/0.54  % (32423)------------------------------
% 0.20/0.54  % (32423)------------------------------
% 0.20/0.54  % (32422)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Theorem for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (32422)------------------------------
% 0.20/0.54  % (32422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (32422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (32422)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (32422)Memory used [KB]: 6396
% 0.20/0.54  % (32422)Time elapsed: 0.136 s
% 0.20/0.54  % (32422)Instructions burned: 24 (million)
% 0.20/0.54  % (32422)------------------------------
% 0.20/0.54  % (32422)------------------------------
% 0.20/0.54  % (32396)Success in time 0.187 s
%------------------------------------------------------------------------------