TSTP Solution File: MGT024+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n020.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 May  1 03:21:51 EDT 2024

% Result   : Theorem 0.51s 0.73s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  103 (   9 unt;   0 def)
%            Number of atoms       :  360 (  40 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  393 ( 136   ~; 195   |;  43   &)
%                                         (   7 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   8 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   64 (  60   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f211,plain,
    $false,
    inference(avatar_sat_refutation,[],[f50,f59,f68,f98,f126,f136,f146,f198,f200,f203,f208,f210]) ).

fof(f210,plain,
    ( spl3_7
    | spl3_2
    | spl3_4 ),
    inference(avatar_split_clause,[],[f209,f56,f47,f133]) ).

fof(f133,plain,
    ( spl3_7
  <=> sP0(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f47,plain,
    ( spl3_2
  <=> zero = growth_rate(first_movers,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f56,plain,
    ( spl3_4
  <=> greater(growth_rate(first_movers,sK2),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f209,plain,
    ( zero = growth_rate(first_movers,sK2)
    | sP0(sK2)
    | spl3_4 ),
    inference(subsumption_resolution,[],[f174,f58]) ).

fof(f58,plain,
    ( ~ greater(growth_rate(first_movers,sK2),zero)
    | spl3_4 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f174,plain,
    ( zero = growth_rate(first_movers,sK2)
    | greater(growth_rate(first_movers,sK2),zero)
    | sP0(sK2) ),
    inference(subsumption_resolution,[],[f173,f85]) ).

fof(f85,plain,
    constant(number_of_organizations(sK1,sK2)),
    inference(unit_resulting_resolution,[],[f36,f71,f76,f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ constant(resources(X0,X1))
      | ~ in_environment(X0,X1)
      | ~ environment(X0)
      | constant(number_of_organizations(X0,X1)) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ( ( constant(number_of_organizations(X0,X1))
          | ~ constant(resources(X0,X1)) )
        & ( ~ decreases(number_of_organizations(X0,X1))
          | ~ decreases(resources(X0,X1)) ) )
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(flattening,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ( ( constant(number_of_organizations(X0,X1))
          | ~ constant(resources(X0,X1)) )
        & ( ~ decreases(number_of_organizations(X0,X1))
          | ~ decreases(resources(X0,X1)) ) )
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( in_environment(X0,X1)
        & environment(X0) )
     => ( ( constant(resources(X0,X1))
         => constant(number_of_organizations(X0,X1)) )
        & ( decreases(resources(X0,X1))
         => ~ decreases(number_of_organizations(X0,X1)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.n2R0oWeFkQ/Vampire---4.8_2849',a6) ).

fof(f76,plain,
    constant(resources(sK1,sK2)),
    inference(unit_resulting_resolution,[],[f36,f71,f69,f72,f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ~ greater(number_of_organizations(X0,X1),zero)
      | ~ in_environment(X0,X1)
      | ~ environment(X0)
      | greater(equilibrium(X0),X1)
      | constant(resources(X0,X1)) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ( ( constant(resources(X0,X1))
          | greater(equilibrium(X0),X1) )
        & ( decreases(resources(X0,X1))
          | ~ greater(equilibrium(X0),X1) ) )
      | ~ greater(number_of_organizations(X0,X1),zero)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(flattening,[],[f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ( ( constant(resources(X0,X1))
          | greater(equilibrium(X0),X1) )
        & ( decreases(resources(X0,X1))
          | ~ greater(equilibrium(X0),X1) ) )
      | ~ greater(number_of_organizations(X0,X1),zero)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ( greater(number_of_organizations(X0,X1),zero)
        & in_environment(X0,X1)
        & environment(X0) )
     => ( ( ~ greater(equilibrium(X0),X1)
         => constant(resources(X0,X1)) )
        & ( greater(equilibrium(X0),X1)
         => decreases(resources(X0,X1)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.n2R0oWeFkQ/Vampire---4.8_2849',a3) ).

fof(f72,plain,
    greater(number_of_organizations(sK1,sK2),zero),
    inference(unit_resulting_resolution,[],[f36,f37,f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( greater(number_of_organizations(X0,X1),zero)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( greater(number_of_organizations(X0,X1),zero)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(flattening,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( greater(number_of_organizations(X0,X1),zero)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ( subpopulations(first_movers,efficient_producers,X0,X1)
        & environment(X0) )
     => greater(number_of_organizations(X0,X1),zero) ),
    file('/export/starexec/sandbox/tmp/tmp.n2R0oWeFkQ/Vampire---4.8_2849',mp_positive_number_of_organizations) ).

fof(f37,plain,
    subpopulations(first_movers,efficient_producers,sK1,sK2),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ? [X0,X1] :
      ( ( ~ greater(zero,growth_rate(first_movers,X1))
        | ~ greater(growth_rate(efficient_producers,X1),zero) )
      & ( ~ greater(zero,growth_rate(efficient_producers,X1))
        | ~ greater(growth_rate(first_movers,X1),zero) )
      & ( zero != growth_rate(efficient_producers,X1)
        | zero != growth_rate(first_movers,X1) )
      & greater_or_equal(X1,equilibrium(X0))
      & subpopulations(first_movers,efficient_producers,X0,X1)
      & environment(X0) ),
    inference(flattening,[],[f15]) ).

fof(f15,plain,
    ? [X0,X1] :
      ( ( ~ greater(zero,growth_rate(first_movers,X1))
        | ~ greater(growth_rate(efficient_producers,X1),zero) )
      & ( ~ greater(zero,growth_rate(efficient_producers,X1))
        | ~ greater(growth_rate(first_movers,X1),zero) )
      & ( zero != growth_rate(efficient_producers,X1)
        | zero != growth_rate(first_movers,X1) )
      & greater_or_equal(X1,equilibrium(X0))
      & subpopulations(first_movers,efficient_producers,X0,X1)
      & environment(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( greater_or_equal(X1,equilibrium(X0))
          & subpopulations(first_movers,efficient_producers,X0,X1)
          & environment(X0) )
       => ( ( greater(zero,growth_rate(first_movers,X1))
            & greater(growth_rate(efficient_producers,X1),zero) )
          | ( greater(zero,growth_rate(efficient_producers,X1))
            & greater(growth_rate(first_movers,X1),zero) )
          | ( zero = growth_rate(efficient_producers,X1)
            & zero = growth_rate(first_movers,X1) ) ) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ! [X0,X1] :
      ( ( greater_or_equal(X1,equilibrium(X0))
        & subpopulations(first_movers,efficient_producers,X0,X1)
        & environment(X0) )
     => ( ( greater(zero,growth_rate(first_movers,X1))
          & greater(growth_rate(efficient_producers,X1),zero) )
        | ( greater(zero,growth_rate(efficient_producers,X1))
          & greater(growth_rate(first_movers,X1),zero) )
        | ( zero = growth_rate(efficient_producers,X1)
          & zero = growth_rate(first_movers,X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.n2R0oWeFkQ/Vampire---4.8_2849',prove_l6) ).

fof(f69,plain,
    ~ greater(equilibrium(sK1),sK2),
    inference(unit_resulting_resolution,[],[f36,f38,f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ greater_or_equal(X1,equilibrium(X0))
      | ~ environment(X0)
      | ~ greater(equilibrium(X0),X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ greater(equilibrium(X0),X1)
      | ~ greater_or_equal(X1,equilibrium(X0))
      | ~ environment(X0) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ greater(equilibrium(X0),X1)
      | ~ greater_or_equal(X1,equilibrium(X0))
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ( greater_or_equal(X1,equilibrium(X0))
        & environment(X0) )
     => ~ greater(equilibrium(X0),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.n2R0oWeFkQ/Vampire---4.8_2849',mp_equilibrium) ).

fof(f38,plain,
    greater_or_equal(sK2,equilibrium(sK1)),
    inference(cnf_transformation,[],[f16]) ).

fof(f71,plain,
    in_environment(sK1,sK2),
    inference(unit_resulting_resolution,[],[f36,f37,f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0)
      | in_environment(X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( in_environment(X0,X1)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( in_environment(X0,X1)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ( subpopulations(first_movers,efficient_producers,X0,X1)
        & environment(X0) )
     => in_environment(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.n2R0oWeFkQ/Vampire---4.8_2849',mp_time_point_occur) ).

fof(f36,plain,
    environment(sK1),
    inference(cnf_transformation,[],[f16]) ).

fof(f173,plain,
    ( ~ constant(number_of_organizations(sK1,sK2))
    | zero = growth_rate(first_movers,sK2)
    | greater(growth_rate(first_movers,sK2),zero)
    | sP0(sK2) ),
    inference(subsumption_resolution,[],[f159,f36]) ).

fof(f159,plain,
    ( ~ environment(sK1)
    | ~ constant(number_of_organizations(sK1,sK2))
    | zero = growth_rate(first_movers,sK2)
    | greater(growth_rate(first_movers,sK2),zero)
    | sP0(sK2) ),
    inference(resolution,[],[f31,f37]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0)
      | ~ constant(number_of_organizations(X0,X1))
      | zero = growth_rate(first_movers,X1)
      | greater(growth_rate(first_movers,X1),zero)
      | sP0(X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ( greater(zero,growth_rate(first_movers,X1))
        & greater(growth_rate(efficient_producers,X1),zero) )
      | ( greater(zero,growth_rate(efficient_producers,X1))
        & greater(growth_rate(first_movers,X1),zero) )
      | ( zero = growth_rate(efficient_producers,X1)
        & zero = growth_rate(first_movers,X1) )
      | ~ constant(number_of_organizations(X0,X1))
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(flattening,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ( greater(zero,growth_rate(first_movers,X1))
        & greater(growth_rate(efficient_producers,X1),zero) )
      | ( greater(zero,growth_rate(efficient_producers,X1))
        & greater(growth_rate(first_movers,X1),zero) )
      | ( zero = growth_rate(efficient_producers,X1)
        & zero = growth_rate(first_movers,X1) )
      | ~ constant(number_of_organizations(X0,X1))
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( constant(number_of_organizations(X0,X1))
        & subpopulations(first_movers,efficient_producers,X0,X1)
        & environment(X0) )
     => ( ( greater(zero,growth_rate(first_movers,X1))
          & greater(growth_rate(efficient_producers,X1),zero) )
        | ( greater(zero,growth_rate(efficient_producers,X1))
          & greater(growth_rate(first_movers,X1),zero) )
        | ( zero = growth_rate(efficient_producers,X1)
          & zero = growth_rate(first_movers,X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.n2R0oWeFkQ/Vampire---4.8_2849',l7) ).

fof(f208,plain,
    ( spl3_7
    | spl3_1
    | spl3_4 ),
    inference(avatar_split_clause,[],[f207,f56,f43,f133]) ).

fof(f43,plain,
    ( spl3_1
  <=> zero = growth_rate(efficient_producers,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f207,plain,
    ( zero = growth_rate(efficient_producers,sK2)
    | sP0(sK2)
    | spl3_4 ),
    inference(subsumption_resolution,[],[f92,f58]) ).

fof(f92,plain,
    ( zero = growth_rate(efficient_producers,sK2)
    | greater(growth_rate(first_movers,sK2),zero)
    | sP0(sK2) ),
    inference(subsumption_resolution,[],[f91,f85]) ).

fof(f91,plain,
    ( ~ constant(number_of_organizations(sK1,sK2))
    | zero = growth_rate(efficient_producers,sK2)
    | greater(growth_rate(first_movers,sK2),zero)
    | sP0(sK2) ),
    inference(subsumption_resolution,[],[f88,f36]) ).

fof(f88,plain,
    ( ~ environment(sK1)
    | ~ constant(number_of_organizations(sK1,sK2))
    | zero = growth_rate(efficient_producers,sK2)
    | greater(growth_rate(first_movers,sK2),zero)
    | sP0(sK2) ),
    inference(resolution,[],[f29,f37]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0)
      | ~ constant(number_of_organizations(X0,X1))
      | zero = growth_rate(efficient_producers,X1)
      | greater(growth_rate(first_movers,X1),zero)
      | sP0(X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f203,plain,
    ( ~ spl3_7
    | spl3_5 ),
    inference(avatar_split_clause,[],[f142,f61,f133]) ).

fof(f61,plain,
    ( spl3_5
  <=> greater(zero,growth_rate(first_movers,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f142,plain,
    ( ~ sP0(sK2)
    | spl3_5 ),
    inference(unit_resulting_resolution,[],[f63,f28]) ).

fof(f28,plain,
    ! [X1] :
      ( greater(zero,growth_rate(first_movers,X1))
      | ~ sP0(X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f63,plain,
    ( ~ greater(zero,growth_rate(first_movers,sK2))
    | spl3_5 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f200,plain,
    ( ~ spl3_7
    | ~ spl3_1
    | spl3_6 ),
    inference(avatar_split_clause,[],[f199,f65,f43,f133]) ).

fof(f65,plain,
    ( spl3_6
  <=> greater(growth_rate(efficient_producers,sK2),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f199,plain,
    ( ~ sP0(sK2)
    | ~ spl3_1
    | spl3_6 ),
    inference(subsumption_resolution,[],[f138,f182]) ).

fof(f182,plain,
    ( ~ greater(zero,zero)
    | ~ spl3_1
    | spl3_6 ),
    inference(forward_demodulation,[],[f67,f44]) ).

fof(f44,plain,
    ( zero = growth_rate(efficient_producers,sK2)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f67,plain,
    ( ~ greater(growth_rate(efficient_producers,sK2),zero)
    | spl3_6 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f138,plain,
    ( greater(zero,zero)
    | ~ sP0(sK2)
    | ~ spl3_1 ),
    inference(superposition,[],[f27,f44]) ).

fof(f27,plain,
    ! [X1] :
      ( greater(growth_rate(efficient_producers,X1),zero)
      | ~ sP0(X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f198,plain,
    ( spl3_7
    | ~ spl3_1
    | spl3_2
    | spl3_6 ),
    inference(avatar_split_clause,[],[f197,f65,f47,f43,f133]) ).

fof(f197,plain,
    ( sP0(sK2)
    | ~ spl3_1
    | spl3_2
    | spl3_6 ),
    inference(subsumption_resolution,[],[f196,f182]) ).

fof(f196,plain,
    ( greater(zero,zero)
    | sP0(sK2)
    | ~ spl3_1
    | spl3_2 ),
    inference(forward_demodulation,[],[f191,f44]) ).

fof(f191,plain,
    ( greater(zero,growth_rate(efficient_producers,sK2))
    | sP0(sK2)
    | spl3_2 ),
    inference(subsumption_resolution,[],[f190,f49]) ).

fof(f49,plain,
    ( zero != growth_rate(first_movers,sK2)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f190,plain,
    ( zero = growth_rate(first_movers,sK2)
    | greater(zero,growth_rate(efficient_producers,sK2))
    | sP0(sK2) ),
    inference(subsumption_resolution,[],[f189,f85]) ).

fof(f189,plain,
    ( ~ constant(number_of_organizations(sK1,sK2))
    | zero = growth_rate(first_movers,sK2)
    | greater(zero,growth_rate(efficient_producers,sK2))
    | sP0(sK2) ),
    inference(subsumption_resolution,[],[f185,f36]) ).

fof(f185,plain,
    ( ~ environment(sK1)
    | ~ constant(number_of_organizations(sK1,sK2))
    | zero = growth_rate(first_movers,sK2)
    | greater(zero,growth_rate(efficient_producers,sK2))
    | sP0(sK2) ),
    inference(resolution,[],[f32,f37]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0)
      | ~ constant(number_of_organizations(X0,X1))
      | zero = growth_rate(first_movers,X1)
      | greater(zero,growth_rate(efficient_producers,X1))
      | sP0(X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f146,plain,
    ( ~ spl3_1
    | spl3_3
    | ~ spl3_6 ),
    inference(avatar_contradiction_clause,[],[f145]) ).

fof(f145,plain,
    ( $false
    | ~ spl3_1
    | spl3_3
    | ~ spl3_6 ),
    inference(subsumption_resolution,[],[f144,f137]) ).

fof(f137,plain,
    ( ~ greater(zero,zero)
    | ~ spl3_1
    | spl3_3 ),
    inference(superposition,[],[f54,f44]) ).

fof(f54,plain,
    ( ~ greater(zero,growth_rate(efficient_producers,sK2))
    | spl3_3 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl3_3
  <=> greater(zero,growth_rate(efficient_producers,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f144,plain,
    ( greater(zero,zero)
    | ~ spl3_1
    | ~ spl3_6 ),
    inference(superposition,[],[f66,f44]) ).

fof(f66,plain,
    ( greater(growth_rate(efficient_producers,sK2),zero)
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f136,plain,
    ( spl3_7
    | spl3_1
    | spl3_3 ),
    inference(avatar_split_clause,[],[f131,f52,f43,f133]) ).

fof(f131,plain,
    ( zero = growth_rate(efficient_producers,sK2)
    | sP0(sK2)
    | spl3_3 ),
    inference(subsumption_resolution,[],[f122,f54]) ).

fof(f122,plain,
    ( zero = growth_rate(efficient_producers,sK2)
    | greater(zero,growth_rate(efficient_producers,sK2))
    | sP0(sK2) ),
    inference(subsumption_resolution,[],[f121,f85]) ).

fof(f121,plain,
    ( ~ constant(number_of_organizations(sK1,sK2))
    | zero = growth_rate(efficient_producers,sK2)
    | greater(zero,growth_rate(efficient_producers,sK2))
    | sP0(sK2) ),
    inference(subsumption_resolution,[],[f107,f36]) ).

fof(f107,plain,
    ( ~ environment(sK1)
    | ~ constant(number_of_organizations(sK1,sK2))
    | zero = growth_rate(efficient_producers,sK2)
    | greater(zero,growth_rate(efficient_producers,sK2))
    | sP0(sK2) ),
    inference(resolution,[],[f30,f37]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0)
      | ~ constant(number_of_organizations(X0,X1))
      | zero = growth_rate(efficient_producers,X1)
      | greater(zero,growth_rate(efficient_producers,X1))
      | sP0(X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f126,plain,
    ( spl3_1
    | spl3_3
    | spl3_6 ),
    inference(avatar_contradiction_clause,[],[f125]) ).

fof(f125,plain,
    ( $false
    | spl3_1
    | spl3_3
    | spl3_6 ),
    inference(subsumption_resolution,[],[f124,f74]) ).

fof(f74,plain,
    ( ~ sP0(sK2)
    | spl3_6 ),
    inference(unit_resulting_resolution,[],[f67,f27]) ).

fof(f124,plain,
    ( sP0(sK2)
    | spl3_1
    | spl3_3 ),
    inference(subsumption_resolution,[],[f123,f54]) ).

fof(f123,plain,
    ( greater(zero,growth_rate(efficient_producers,sK2))
    | sP0(sK2)
    | spl3_1 ),
    inference(subsumption_resolution,[],[f122,f45]) ).

fof(f45,plain,
    ( zero != growth_rate(efficient_producers,sK2)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f98,plain,
    ( spl3_4
    | spl3_1
    | spl3_6 ),
    inference(avatar_split_clause,[],[f97,f65,f43,f56]) ).

fof(f97,plain,
    ( greater(growth_rate(first_movers,sK2),zero)
    | spl3_1
    | spl3_6 ),
    inference(subsumption_resolution,[],[f93,f74]) ).

fof(f93,plain,
    ( greater(growth_rate(first_movers,sK2),zero)
    | sP0(sK2)
    | spl3_1 ),
    inference(subsumption_resolution,[],[f92,f45]) ).

fof(f68,plain,
    ( ~ spl3_5
    | ~ spl3_6 ),
    inference(avatar_split_clause,[],[f33,f65,f61]) ).

fof(f33,plain,
    ( ~ greater(growth_rate(efficient_producers,sK2),zero)
    | ~ greater(zero,growth_rate(first_movers,sK2)) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f59,plain,
    ( ~ spl3_3
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f34,f56,f52]) ).

fof(f34,plain,
    ( ~ greater(growth_rate(first_movers,sK2),zero)
    | ~ greater(zero,growth_rate(efficient_producers,sK2)) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f50,plain,
    ( ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f35,f47,f43]) ).

fof(f35,plain,
    ( zero != growth_rate(first_movers,sK2)
    | zero != growth_rate(efficient_producers,sK2) ),
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 18:06:47 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.n2R0oWeFkQ/Vampire---4.8_2849
% 0.51/0.72  % (3108)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.51/0.72  % (3102)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.51/0.72  % (3104)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.51/0.72  % (3103)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.51/0.72  % (3105)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.51/0.72  % (3106)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.51/0.72  % (3107)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.51/0.72  % (3108)First to succeed.
% 0.51/0.73  % (3106)Also succeeded, but the first one will report.
% 0.51/0.73  % (3108)Refutation found. Thanks to Tanya!
% 0.51/0.73  % SZS status Theorem for Vampire---4
% 0.51/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.51/0.73  % (3108)------------------------------
% 0.51/0.73  % (3108)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.51/0.73  % (3108)Termination reason: Refutation
% 0.51/0.73  
% 0.51/0.73  % (3108)Memory used [KB]: 1084
% 0.51/0.73  % (3108)Time elapsed: 0.005 s
% 0.51/0.73  % (3108)Instructions burned: 10 (million)
% 0.51/0.73  % (3108)------------------------------
% 0.51/0.73  % (3108)------------------------------
% 0.51/0.73  % (3098)Success in time 0.355 s
% 0.51/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------