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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : MGT034-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n018.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 17:51:29 EDT 2022

% Result   : Unsatisfiable 1.66s 0.57s
% Output   : Refutation 1.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  132 (  12 unt;   0 def)
%            Number of atoms       :  350 (  13 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  416 ( 198   ~; 203   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  16 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   67 (  67   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f486,plain,
    $false,
    inference(avatar_sat_refutation,[],[f193,f217,f220,f253,f289,f343,f366,f392,f403,f410,f411,f435,f454,f466,f482,f485]) ).

fof(f485,plain,
    ( ~ spl0_19
    | spl0_35 ),
    inference(avatar_contradiction_clause,[],[f484]) ).

fof(f484,plain,
    ( $false
    | ~ spl0_19
    | spl0_35 ),
    inference(subsumption_resolution,[],[f483,f31]) ).

fof(f31,plain,
    ! [X1] : greater_or_equal(X1,X1),
    inference(equality_resolution,[],[f20]) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | greater_or_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_52) ).

fof(f483,plain,
    ( ~ greater_or_equal(zero,zero)
    | ~ spl0_19
    | spl0_35 ),
    inference(forward_demodulation,[],[f431,f216]) ).

fof(f216,plain,
    ( zero = difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl0_19
  <=> zero = difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f431,plain,
    ( ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
    | spl0_35 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f429,plain,
    ( spl0_35
  <=> greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f482,plain,
    ~ spl0_36,
    inference(avatar_contradiction_clause,[],[f481]) ).

fof(f481,plain,
    ( $false
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f480,f28]) ).

fof(f28,axiom,
    greater_or_equal(sk2,appear(efficient_producers,sk1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3_60) ).

fof(f480,plain,
    ( ~ greater_or_equal(sk2,appear(efficient_producers,sk1))
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f479,f26]) ).

fof(f26,axiom,
    environment(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3_58) ).

fof(f479,plain,
    ( ~ environment(sk1)
    | ~ greater_or_equal(sk2,appear(efficient_producers,sk1))
    | ~ spl0_36 ),
    inference(resolution,[],[f434,f27]) ).

fof(f27,axiom,
    in_environment(sk1,critical_point(sk1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3_59) ).

fof(f434,plain,
    ( ! [X0] :
        ( ~ in_environment(X0,critical_point(sk1))
        | ~ greater_or_equal(sk2,appear(efficient_producers,X0))
        | ~ environment(X0) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f433,plain,
    ( spl0_36
  <=> ! [X0] :
        ( ~ environment(X0)
        | ~ greater_or_equal(sk2,appear(efficient_producers,X0))
        | ~ in_environment(X0,critical_point(sk1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f466,plain,
    ~ spl0_18,
    inference(avatar_contradiction_clause,[],[f465]) ).

fof(f465,plain,
    ( $false
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f457,f26]) ).

fof(f457,plain,
    ( ~ environment(sk1)
    | ~ spl0_18 ),
    inference(resolution,[],[f455,f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0)))
      | ~ environment(X0) ),
    inference(equality_resolution,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
      | ~ environment(X0)
      | critical_point(X0) != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_54) ).

fof(f455,plain,
    ( greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
    | ~ spl0_18 ),
    inference(resolution,[],[f212,f7]) ).

fof(f7,axiom,
    ! [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)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_negative_growth_rate_difference_39) ).

fof(f212,plain,
    ( greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f210,plain,
    ( spl0_18
  <=> greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f454,plain,
    ( ~ spl0_29
    | spl0_35 ),
    inference(avatar_split_clause,[],[f447,f429,f379]) ).

fof(f379,plain,
    ( spl0_29
  <=> greater(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f447,plain,
    ( ~ greater(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
    | spl0_35 ),
    inference(resolution,[],[f431,f19]) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
      | ~ greater(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_51) ).

fof(f435,plain,
    ( ~ spl0_35
    | spl0_36
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f427,f134,f433,f429]) ).

fof(f134,plain,
    ( spl0_8
  <=> ! [X0,X1] :
        ( ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
        | ~ greater(X1,sk2)
        | ~ environment(X0)
        | ~ greater_or_equal(sk2,appear(efficient_producers,X0))
        | ~ in_environment(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f427,plain,
    ( ! [X0] :
        ( ~ environment(X0)
        | ~ in_environment(X0,critical_point(sk1))
        | ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
        | ~ greater_or_equal(sk2,appear(efficient_producers,X0)) )
    | ~ spl0_8 ),
    inference(resolution,[],[f135,f29]) ).

fof(f29,axiom,
    greater(critical_point(sk1),sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3_61) ).

fof(f135,plain,
    ( ! [X0,X1] :
        ( ~ greater(X1,sk2)
        | ~ greater_or_equal(sk2,appear(efficient_producers,X0))
        | ~ in_environment(X0,X1)
        | ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
        | ~ environment(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f411,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f386,f110,f134,f130]) ).

fof(f130,plain,
    ( spl0_7
  <=> greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f110,plain,
    ( spl0_5
  <=> decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f386,plain,
    ( ! [X0,X1] :
        ( ~ in_environment(X0,X1)
        | ~ greater_or_equal(sk2,appear(efficient_producers,X0))
        | ~ greater(X1,sk2)
        | greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
        | ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
        | ~ environment(X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f112,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( ~ decreases(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
      | ~ environment(X0)
      | ~ in_environment(X0,X1)
      | greater(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
      | ~ greater_or_equal(X2,appear(efficient_producers,X0))
      | ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
      | ~ greater(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_decreasing_function_38) ).

fof(f112,plain,
    ( decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f410,plain,
    ( ~ spl0_7
    | spl0_24 ),
    inference(avatar_contradiction_clause,[],[f409]) ).

fof(f409,plain,
    ( $false
    | ~ spl0_7
    | spl0_24 ),
    inference(subsumption_resolution,[],[f408,f281]) ).

fof(f281,plain,
    ( ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
    | spl0_24 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f280,plain,
    ( spl0_24
  <=> greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f408,plain,
    ( greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
    | ~ spl0_7 ),
    inference(resolution,[],[f132,f9]) ).

fof(f9,axiom,
    ! [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)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_growth_rate_difference_41) ).

fof(f132,plain,
    ( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f403,plain,
    ( spl0_29
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f393,f206,f379]) ).

fof(f206,plain,
    ( spl0_17
  <=> greater(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f393,plain,
    ( greater(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
    | ~ spl0_17 ),
    inference(resolution,[],[f208,f10]) ).

fof(f10,axiom,
    ! [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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_growth_rate_difference_42) ).

fof(f208,plain,
    ( greater(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f392,plain,
    ( ~ spl0_15
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f391]) ).

fof(f391,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f390,f26]) ).

fof(f390,plain,
    ( ~ environment(sk1)
    | ~ spl0_15
    | ~ spl0_24 ),
    inference(resolution,[],[f389,f358]) ).

fof(f358,plain,
    ( subpopulations(efficient_producers,first_movers,sk1,sk2)
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f356,f26]) ).

fof(f356,plain,
    ( ~ environment(sk1)
    | subpopulations(efficient_producers,first_movers,sk1,sk2)
    | ~ spl0_15 ),
    inference(resolution,[],[f188,f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0)
      | subpopulations(efficient_producers,first_movers,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_48) ).

fof(f188,plain,
    ( subpopulations(first_movers,efficient_producers,sk1,sk2)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f186,plain,
    ( spl0_15
  <=> subpopulations(first_movers,efficient_producers,sk1,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f389,plain,
    ( ! [X0] :
        ( ~ subpopulations(efficient_producers,first_movers,X0,sk2)
        | ~ environment(X0) )
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f388,f30]) ).

fof(f30,axiom,
    ~ selection_favors(first_movers,efficient_producers,sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3_62) ).

fof(f388,plain,
    ( ! [X0] :
        ( ~ environment(X0)
        | selection_favors(first_movers,efficient_producers,sk2)
        | ~ subpopulations(efficient_producers,first_movers,X0,sk2) )
    | ~ spl0_24 ),
    inference(resolution,[],[f282,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
      | ~ subpopulations(X1,X2,X0,X3)
      | selection_favors(X2,X1,X3)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates_33) ).

fof(f282,plain,
    ( greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f366,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f365]) ).

fof(f365,plain,
    ( $false
    | spl0_5
    | spl0_6
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f360,f111]) ).

fof(f111,plain,
    ( ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f360,plain,
    ( decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
    | spl0_6
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f359,f115]) ).

fof(f115,plain,
    ( ~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | spl0_6 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl0_6
  <=> decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f359,plain,
    ( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
    | ~ spl0_15 ),
    inference(resolution,[],[f357,f5]) ).

fof(f5,axiom,
    ! [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))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_difference_between_founding_rates_37) ).

fof(f357,plain,
    ( decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2)))
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f354,f26]) ).

fof(f354,plain,
    ( ~ environment(sk1)
    | decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2)))
    | ~ spl0_15 ),
    inference(resolution,[],[f188,f25]) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0)
      | decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_57) ).

fof(f343,plain,
    ( spl0_15
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f342,f190,f173,f186]) ).

fof(f173,plain,
    ( spl0_14
  <=> greater(critical_point(sk1),appear(efficient_producers,sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f190,plain,
    ( spl0_16
  <=> greater_or_equal(critical_point(sk1),sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f342,plain,
    ( subpopulations(first_movers,efficient_producers,sk1,sk2)
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f335,f28]) ).

fof(f335,plain,
    ( ~ greater_or_equal(sk2,appear(efficient_producers,sk1))
    | subpopulations(first_movers,efficient_producers,sk1,sk2)
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(resolution,[],[f333,f191]) ).

fof(f191,plain,
    ( greater_or_equal(critical_point(sk1),sk2)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f333,plain,
    ( ! [X0] :
        ( ~ greater_or_equal(critical_point(sk1),X0)
        | ~ greater_or_equal(X0,appear(efficient_producers,sk1))
        | subpopulations(first_movers,efficient_producers,sk1,X0) )
    | ~ spl0_14 ),
    inference(resolution,[],[f303,f48]) ).

fof(f48,plain,
    subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)),
    inference(subsumption_resolution,[],[f47,f26]) ).

fof(f47,plain,
    ( ~ environment(sk1)
    | subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)) ),
    inference(resolution,[],[f3,f27]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ in_environment(X0,critical_point(X0))
      | subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
      | ~ environment(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP_35) ).

fof(f303,plain,
    ( ! [X2,X1] :
        ( ~ subpopulations(first_movers,efficient_producers,sk1,X2)
        | ~ greater_or_equal(X1,appear(efficient_producers,sk1))
        | subpopulations(first_movers,efficient_producers,sk1,X1)
        | ~ greater_or_equal(X2,X1) )
    | ~ spl0_14 ),
    inference(resolution,[],[f300,f63]) ).

fof(f63,plain,
    ! [X2,X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,sk1,X2)
      | subpopulations(first_movers,efficient_producers,sk1,X1)
      | ~ greater_or_equal(X0,X1)
      | ~ subpopulations(first_movers,efficient_producers,sk1,X0)
      | ~ greater_or_equal(X1,X2) ),
    inference(resolution,[],[f24,f26]) ).

fof(f24,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ environment(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X2)
      | subpopulations(first_movers,efficient_producers,X0,X3)
      | ~ greater_or_equal(X3,X1)
      | ~ greater_or_equal(X2,X3)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10_56) ).

fof(f300,plain,
    ( subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1))
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f299,f26]) ).

fof(f299,plain,
    ( ~ environment(sk1)
    | subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1))
    | ~ spl0_14 ),
    inference(resolution,[],[f297,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ in_environment(X0,appear(efficient_producers,X0))
      | ~ environment(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_36) ).

fof(f297,plain,
    ( in_environment(sk1,appear(efficient_producers,sk1))
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f296,f31]) ).

fof(f296,plain,
    ( ~ greater_or_equal(appear(efficient_producers,sk1),appear(efficient_producers,sk1))
    | in_environment(sk1,appear(efficient_producers,sk1))
    | ~ spl0_14 ),
    inference(resolution,[],[f175,f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ greater(critical_point(sk1),X0)
      | ~ greater_or_equal(X0,appear(efficient_producers,sk1))
      | in_environment(sk1,X0) ),
    inference(subsumption_resolution,[],[f58,f26]) ).

fof(f58,plain,
    ! [X0] :
      ( in_environment(sk1,X0)
      | ~ environment(sk1)
      | ~ greater_or_equal(X0,appear(efficient_producers,sk1))
      | ~ greater(critical_point(sk1),X0) ),
    inference(resolution,[],[f14,f27]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( ~ in_environment(X0,critical_point(X0))
      | in_environment(X0,X1)
      | ~ environment(X0)
      | ~ greater(critical_point(X0),X1)
      | ~ greater_or_equal(X1,appear(efficient_producers,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_time_points_46) ).

fof(f175,plain,
    ( greater(critical_point(sk1),appear(efficient_producers,sk1))
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f289,plain,
    ( ~ spl0_6
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f288]) ).

fof(f288,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f270,f26]) ).

fof(f270,plain,
    ( ~ environment(sk1)
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(resolution,[],[f188,f159]) ).

fof(f159,plain,
    ( ! [X0] :
        ( ~ subpopulations(first_movers,efficient_producers,X0,sk2)
        | ~ environment(X0) )
    | ~ spl0_6 ),
    inference(resolution,[],[f116,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
      | ~ environment(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_34) ).

fof(f116,plain,
    ( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f253,plain,
    ( spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f252,f173,f169]) ).

fof(f169,plain,
    ( spl0_13
  <=> critical_point(sk1) = appear(efficient_producers,sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f252,plain,
    ( critical_point(sk1) = appear(efficient_producers,sk1)
    | spl0_14 ),
    inference(subsumption_resolution,[],[f222,f174]) ).

fof(f174,plain,
    ( ~ greater(critical_point(sk1),appear(efficient_producers,sk1))
    | spl0_14 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f222,plain,
    ( greater(critical_point(sk1),appear(efficient_producers,sk1))
    | critical_point(sk1) = appear(efficient_producers,sk1) ),
    inference(resolution,[],[f54,f18]) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( ~ greater_or_equal(X0,X1)
      | X0 = X1
      | greater(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_50) ).

fof(f54,plain,
    greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1)),
    inference(subsumption_resolution,[],[f51,f26]) ).

fof(f51,plain,
    ( greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1))
    | ~ environment(sk1) ),
    inference(resolution,[],[f48,f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | greater_or_equal(X1,appear(efficient_producers,X0))
      | ~ environment(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared_49) ).

fof(f220,plain,
    spl0_16,
    inference(avatar_contradiction_clause,[],[f219]) ).

fof(f219,plain,
    ( $false
    | spl0_16 ),
    inference(subsumption_resolution,[],[f218,f29]) ).

fof(f218,plain,
    ( ~ greater(critical_point(sk1),sk2)
    | spl0_16 ),
    inference(resolution,[],[f192,f19]) ).

fof(f192,plain,
    ( ~ greater_or_equal(critical_point(sk1),sk2)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f217,plain,
    ( spl0_17
    | spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f204,f214,f210,f206]) ).

fof(f204,plain,
    ( zero = difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
    | greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
    | greater(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) ),
    inference(resolution,[],[f203,f48]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
      | difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) = zero
      | greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
      | greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
    inference(resolution,[],[f202,f26]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)) = zero
      | greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))
      | greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
      | ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
    inference(resolution,[],[f201,f9]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
      | ~ environment(X1)
      | 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(resolution,[],[f21,f18]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( 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)))
      | ~ environment(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_relationship_of_growth_rates_53) ).

fof(f193,plain,
    ( spl0_15
    | ~ spl0_16
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f182,f169,f190,f186]) ).

fof(f182,plain,
    ( ~ greater_or_equal(critical_point(sk1),sk2)
    | subpopulations(first_movers,efficient_producers,sk1,sk2)
    | ~ spl0_13 ),
    inference(resolution,[],[f179,f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ~ greater_or_equal(X0,critical_point(sk1))
      | ~ greater_or_equal(critical_point(sk1),X0)
      | subpopulations(first_movers,efficient_producers,sk1,X0) ),
    inference(resolution,[],[f76,f48]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,sk1,X1)
      | ~ greater_or_equal(X0,critical_point(sk1))
      | ~ greater_or_equal(X1,X0)
      | subpopulations(first_movers,efficient_producers,sk1,X0) ),
    inference(resolution,[],[f63,f48]) ).

fof(f179,plain,
    ( greater_or_equal(sk2,critical_point(sk1))
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f28,f171]) ).

fof(f171,plain,
    ( critical_point(sk1) = appear(efficient_producers,sk1)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f169]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT034-2 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 03:20:24 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (8620)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (8605)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (8612)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (8628)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52  % (8618)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52  % (8629)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (8601)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52  % (8624)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52  % (8623)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53  % (8617)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (8616)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53  % (8606)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53  % (8603)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53  % (8615)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53  % (8608)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (8604)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (8608)Instruction limit reached!
% 0.19/0.53  % (8608)------------------------------
% 0.19/0.53  % (8608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (8608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (8608)Termination reason: Unknown
% 0.19/0.53  % (8608)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (8608)Memory used [KB]: 5500
% 0.19/0.53  % (8608)Time elapsed: 0.136 s
% 0.19/0.53  % (8608)Instructions burned: 7 (million)
% 0.19/0.53  % (8608)------------------------------
% 0.19/0.53  % (8608)------------------------------
% 0.19/0.53  % (8621)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53  % (8619)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (8602)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  TRYING [1]
% 0.19/0.54  % (8609)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (8609)Instruction limit reached!
% 0.19/0.54  % (8609)------------------------------
% 0.19/0.54  % (8609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (8609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (8609)Termination reason: Unknown
% 0.19/0.54  % (8609)Termination phase: Blocked clause elimination
% 0.19/0.54  
% 0.19/0.54  % (8609)Memory used [KB]: 895
% 0.19/0.54  % (8609)Time elapsed: 0.002 s
% 0.19/0.54  % (8609)Instructions burned: 2 (million)
% 0.19/0.54  % (8609)------------------------------
% 0.19/0.54  % (8609)------------------------------
% 0.19/0.54  TRYING [2]
% 0.19/0.54  % (8602)Refutation not found, incomplete strategy% (8602)------------------------------
% 0.19/0.54  % (8602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (8622)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54  % (8602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (8602)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (8602)Memory used [KB]: 5500
% 0.19/0.54  % (8602)Time elapsed: 0.144 s
% 0.19/0.54  % (8602)Instructions burned: 4 (million)
% 0.19/0.54  % (8602)------------------------------
% 0.19/0.54  % (8602)------------------------------
% 0.19/0.54  % (8611)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (8625)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  TRYING [1]
% 0.19/0.54  % (8613)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54  % (8610)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  TRYING [2]
% 0.19/0.54  % (8627)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54  % (8614)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  % (8630)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.55  % (8607)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (8626)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55  % (8624)First to succeed.
% 0.19/0.55  TRYING [1]
% 0.19/0.56  TRYING [2]
% 0.19/0.56  TRYING [3]
% 1.66/0.56  TRYING [3]
% 1.66/0.57  % (8628)Also succeeded, but the first one will report.
% 1.66/0.57  TRYING [3]
% 1.66/0.57  % (8624)Refutation found. Thanks to Tanya!
% 1.66/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.66/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.66/0.57  % (8624)------------------------------
% 1.66/0.57  % (8624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57  % (8624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (8624)Termination reason: Refutation
% 1.66/0.57  
% 1.66/0.57  % (8624)Memory used [KB]: 5756
% 1.66/0.57  % (8624)Time elapsed: 0.150 s
% 1.66/0.57  % (8624)Instructions burned: 18 (million)
% 1.66/0.57  % (8624)------------------------------
% 1.66/0.57  % (8624)------------------------------
% 1.66/0.57  % (8600)Success in time 0.218 s
%------------------------------------------------------------------------------