TSTP Solution File: MGT029-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : MGT029-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:28:41 EDT 2024

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  111
% Syntax   : Number of formulae    :  707 (   9 unt;   0 def)
%            Number of atoms       : 2348 ( 154 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives : 2937 (1296   ~;1552   |;   0   &)
%                                         (  89 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   97 (  95 usr;  90 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  119 ( 119   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] :
      ( ~ greater(A,B)
      | ~ greater(B,C)
      | greater(A,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B,C] :
      ( ~ in_environment(A,B)
      | ~ in_environment(A,C)
      | greater(C,B)
      | C = B
      | greater(B,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,B] :
      ( ~ greater_or_equal(A,B)
      | greater(A,B)
      | A = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A,B] :
      ( ~ greater(A,B)
      | greater_or_equal(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A,B] :
      ( A != B
      | greater_or_equal(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,hypothesis,
    ! [A,B] :
      ( ~ environment(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | ~ greater_or_equal(B,equilibrium(A))
      | growth_rate(first_movers,B) = zero
      | greater(growth_rate(first_movers,B),zero)
      | greater(growth_rate(efficient_producers,B),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,hypothesis,
    ! [A,B] :
      ( ~ environment(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | ~ greater_or_equal(B,equilibrium(A))
      | growth_rate(first_movers,B) = zero
      | greater(growth_rate(first_movers,B),zero)
      | greater(zero,growth_rate(first_movers,B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,hypothesis,
    ! [A,B] :
      ( ~ environment(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | ~ greater_or_equal(B,equilibrium(A))
      | growth_rate(first_movers,B) = zero
      | greater(zero,growth_rate(efficient_producers,B))
      | greater(growth_rate(efficient_producers,B),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,hypothesis,
    ! [A,B] :
      ( ~ environment(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | ~ greater_or_equal(B,equilibrium(A))
      | growth_rate(first_movers,B) = zero
      | greater(zero,growth_rate(efficient_producers,B))
      | greater(zero,growth_rate(first_movers,B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,hypothesis,
    ! [A,B] :
      ( ~ environment(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | ~ greater_or_equal(B,equilibrium(A))
      | growth_rate(efficient_producers,B) = zero
      | greater(growth_rate(first_movers,B),zero)
      | greater(growth_rate(efficient_producers,B),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,hypothesis,
    ! [A,B] :
      ( ~ environment(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | ~ greater_or_equal(B,equilibrium(A))
      | growth_rate(efficient_producers,B) = zero
      | greater(growth_rate(first_movers,B),zero)
      | greater(zero,growth_rate(first_movers,B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,hypothesis,
    ! [A,B] :
      ( ~ environment(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | ~ greater_or_equal(B,equilibrium(A))
      | growth_rate(efficient_producers,B) = zero
      | greater(zero,growth_rate(efficient_producers,B))
      | greater(growth_rate(efficient_producers,B),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,hypothesis,
    ! [A,B] :
      ( ~ environment(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | ~ greater_or_equal(B,equilibrium(A))
      | growth_rate(efficient_producers,B) = zero
      | greater(zero,growth_rate(efficient_producers,B))
      | greater(zero,growth_rate(first_movers,B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,hypothesis,
    ! [A] :
      ( ~ environment(A)
      | ~ stable(A)
      | in_environment(A,sk1(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,hypothesis,
    ! [A,B] :
      ( ~ environment(A)
      | ~ stable(A)
      | ~ subpopulations(first_movers,efficient_producers,A,B)
      | ~ greater_or_equal(B,sk1(A))
      | greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,hypothesis,
    ! [A] :
      ( ~ environment(A)
      | ~ stable(A)
      | in_environment(A,sk2(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,hypothesis,
    ! [A] :
      ( ~ environment(A)
      | ~ stable(A)
      | greater_or_equal(sk2(A),equilibrium(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    environment(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    stable(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ! [A] :
      ( ~ in_environment(sk3,A)
      | subpopulations(first_movers,efficient_producers,sk3,sk4(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    ! [A] :
      ( ~ in_environment(sk3,A)
      | greater_or_equal(sk4(A),A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,negated_conjecture,
    ! [A] :
      ( ~ in_environment(sk3,A)
      | ~ greater(growth_rate(efficient_producers,sk4(A)),zero)
      | ~ greater(zero,growth_rate(first_movers,sk4(A))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,plain,
    ! [A,C] :
      ( ! [B] :
          ( ~ greater(A,B)
          | ~ greater(B,C) )
      | greater(A,C) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( ~ greater(X0,X1)
      | ~ greater(X1,X2)
      | greater(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f25,plain,
    ! [B,C] :
      ( ! [A] :
          ( ~ in_environment(A,B)
          | ~ in_environment(A,C) )
      | greater(C,B)
      | C = B
      | greater(B,C) ),
    inference(miniscoping,[status(esa)],[f2]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( ~ in_environment(X0,X1)
      | ~ in_environment(X0,X2)
      | greater(X2,X1)
      | X2 = X1
      | greater(X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ greater_or_equal(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | greater_or_equal(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( X0 != X1
      | greater_or_equal(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f30,plain,
    ! [B] :
      ( ! [A] :
          ( ~ environment(A)
          | ~ subpopulations(first_movers,efficient_producers,A,B)
          | ~ greater_or_equal(B,equilibrium(A)) )
      | growth_rate(first_movers,B) = zero
      | greater(growth_rate(first_movers,B),zero)
      | greater(growth_rate(efficient_producers,B),zero) ),
    inference(miniscoping,[status(esa)],[f6]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ greater_or_equal(X1,equilibrium(X0))
      | growth_rate(first_movers,X1) = zero
      | greater(growth_rate(first_movers,X1),zero)
      | greater(growth_rate(efficient_producers,X1),zero) ),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f32,plain,
    ! [B] :
      ( ! [A] :
          ( ~ environment(A)
          | ~ subpopulations(first_movers,efficient_producers,A,B)
          | ~ greater_or_equal(B,equilibrium(A)) )
      | growth_rate(first_movers,B) = zero
      | greater(growth_rate(first_movers,B),zero)
      | greater(zero,growth_rate(first_movers,B)) ),
    inference(miniscoping,[status(esa)],[f7]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ greater_or_equal(X1,equilibrium(X0))
      | growth_rate(first_movers,X1) = zero
      | greater(growth_rate(first_movers,X1),zero)
      | greater(zero,growth_rate(first_movers,X1)) ),
    inference(cnf_transformation,[status(esa)],[f32]) ).

fof(f34,plain,
    ! [B] :
      ( ! [A] :
          ( ~ environment(A)
          | ~ subpopulations(first_movers,efficient_producers,A,B)
          | ~ greater_or_equal(B,equilibrium(A)) )
      | growth_rate(first_movers,B) = zero
      | greater(zero,growth_rate(efficient_producers,B))
      | greater(growth_rate(efficient_producers,B),zero) ),
    inference(miniscoping,[status(esa)],[f8]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ greater_or_equal(X1,equilibrium(X0))
      | growth_rate(first_movers,X1) = zero
      | greater(zero,growth_rate(efficient_producers,X1))
      | greater(growth_rate(efficient_producers,X1),zero) ),
    inference(cnf_transformation,[status(esa)],[f34]) ).

fof(f36,plain,
    ! [B] :
      ( ! [A] :
          ( ~ environment(A)
          | ~ subpopulations(first_movers,efficient_producers,A,B)
          | ~ greater_or_equal(B,equilibrium(A)) )
      | growth_rate(first_movers,B) = zero
      | greater(zero,growth_rate(efficient_producers,B))
      | greater(zero,growth_rate(first_movers,B)) ),
    inference(miniscoping,[status(esa)],[f9]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ greater_or_equal(X1,equilibrium(X0))
      | growth_rate(first_movers,X1) = zero
      | greater(zero,growth_rate(efficient_producers,X1))
      | greater(zero,growth_rate(first_movers,X1)) ),
    inference(cnf_transformation,[status(esa)],[f36]) ).

fof(f38,plain,
    ! [B] :
      ( ! [A] :
          ( ~ environment(A)
          | ~ subpopulations(first_movers,efficient_producers,A,B)
          | ~ greater_or_equal(B,equilibrium(A)) )
      | growth_rate(efficient_producers,B) = zero
      | greater(growth_rate(first_movers,B),zero)
      | greater(growth_rate(efficient_producers,B),zero) ),
    inference(miniscoping,[status(esa)],[f10]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ greater_or_equal(X1,equilibrium(X0))
      | growth_rate(efficient_producers,X1) = zero
      | greater(growth_rate(first_movers,X1),zero)
      | greater(growth_rate(efficient_producers,X1),zero) ),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f40,plain,
    ! [B] :
      ( ! [A] :
          ( ~ environment(A)
          | ~ subpopulations(first_movers,efficient_producers,A,B)
          | ~ greater_or_equal(B,equilibrium(A)) )
      | growth_rate(efficient_producers,B) = zero
      | greater(growth_rate(first_movers,B),zero)
      | greater(zero,growth_rate(first_movers,B)) ),
    inference(miniscoping,[status(esa)],[f11]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ greater_or_equal(X1,equilibrium(X0))
      | growth_rate(efficient_producers,X1) = zero
      | greater(growth_rate(first_movers,X1),zero)
      | greater(zero,growth_rate(first_movers,X1)) ),
    inference(cnf_transformation,[status(esa)],[f40]) ).

fof(f42,plain,
    ! [B] :
      ( ! [A] :
          ( ~ environment(A)
          | ~ subpopulations(first_movers,efficient_producers,A,B)
          | ~ greater_or_equal(B,equilibrium(A)) )
      | growth_rate(efficient_producers,B) = zero
      | greater(zero,growth_rate(efficient_producers,B))
      | greater(growth_rate(efficient_producers,B),zero) ),
    inference(miniscoping,[status(esa)],[f12]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ greater_or_equal(X1,equilibrium(X0))
      | growth_rate(efficient_producers,X1) = zero
      | greater(zero,growth_rate(efficient_producers,X1))
      | greater(growth_rate(efficient_producers,X1),zero) ),
    inference(cnf_transformation,[status(esa)],[f42]) ).

fof(f44,plain,
    ! [B] :
      ( ! [A] :
          ( ~ environment(A)
          | ~ subpopulations(first_movers,efficient_producers,A,B)
          | ~ greater_or_equal(B,equilibrium(A)) )
      | growth_rate(efficient_producers,B) = zero
      | greater(zero,growth_rate(efficient_producers,B))
      | greater(zero,growth_rate(first_movers,B)) ),
    inference(miniscoping,[status(esa)],[f13]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ greater_or_equal(X1,equilibrium(X0))
      | growth_rate(efficient_producers,X1) = zero
      | greater(zero,growth_rate(efficient_producers,X1))
      | greater(zero,growth_rate(first_movers,X1)) ),
    inference(cnf_transformation,[status(esa)],[f44]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ environment(X0)
      | ~ stable(X0)
      | in_environment(X0,sk1(X0)) ),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f47,plain,
    ! [B] :
      ( ! [A] :
          ( ~ environment(A)
          | ~ stable(A)
          | ~ subpopulations(first_movers,efficient_producers,A,B)
          | ~ greater_or_equal(B,sk1(A)) )
      | greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
    inference(miniscoping,[status(esa)],[f15]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | ~ stable(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ greater_or_equal(X1,sk1(X0))
      | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
    inference(cnf_transformation,[status(esa)],[f47]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ environment(X0)
      | ~ stable(X0)
      | in_environment(X0,sk2(X0)) ),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ environment(X0)
      | ~ stable(X0)
      | greater_or_equal(sk2(X0),equilibrium(X0)) ),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f51,plain,
    environment(sk3),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f52,plain,
    stable(sk3),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f53,plain,
    ! [X0] :
      ( ~ in_environment(sk3,X0)
      | subpopulations(first_movers,efficient_producers,sk3,sk4(X0)) ),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ in_environment(sk3,X0)
      | greater_or_equal(sk4(X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ in_environment(sk3,X0)
      | ~ greater(growth_rate(efficient_producers,sk4(X0)),zero)
      | ~ greater(zero,growth_rate(first_movers,sk4(X0))) ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f56,plain,
    ! [X0] : greater_or_equal(X0,X0),
    inference(destructive_equality_resolution,[status(esa)],[f29]) ).

fof(f57,plain,
    ( spl0_0
  <=> environment(sk3) ),
    introduced(split_symbol_definition) ).

fof(f59,plain,
    ( ~ environment(sk3)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f57]) ).

fof(f60,plain,
    ( spl0_1
  <=> in_environment(sk3,sk1(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f61,plain,
    ( in_environment(sk3,sk1(sk3))
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f60]) ).

fof(f63,plain,
    ( ~ environment(sk3)
    | in_environment(sk3,sk1(sk3)) ),
    inference(resolution,[status(thm)],[f46,f52]) ).

fof(f64,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f63,f57,f60]) ).

fof(f65,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f59,f51]) ).

fof(f66,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f65]) ).

fof(f67,plain,
    ( spl0_2
  <=> in_environment(sk3,sk2(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f68,plain,
    ( in_environment(sk3,sk2(sk3))
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f67]) ).

fof(f70,plain,
    ( ~ environment(sk3)
    | in_environment(sk3,sk2(sk3)) ),
    inference(resolution,[status(thm)],[f49,f52]) ).

fof(f71,plain,
    ( ~ spl0_0
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f70,f57,f67]) ).

fof(f72,plain,
    ( spl0_3
  <=> greater_or_equal(sk2(sk3),equilibrium(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f73,plain,
    ( greater_or_equal(sk2(sk3),equilibrium(sk3))
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f72]) ).

fof(f75,plain,
    ( ~ environment(sk3)
    | greater_or_equal(sk2(sk3),equilibrium(sk3)) ),
    inference(resolution,[status(thm)],[f50,f52]) ).

fof(f76,plain,
    ( ~ spl0_0
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f75,f57,f72]) ).

fof(f77,plain,
    ( subpopulations(first_movers,efficient_producers,sk3,sk4(sk1(sk3)))
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f61,f53]) ).

fof(f78,plain,
    ( greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f61,f54]) ).

fof(f79,plain,
    ! [X0] :
      ( ~ in_environment(sk3,X0)
      | greater(X0,sk1(sk3))
      | X0 = sk1(sk3)
      | greater(sk1(sk3),X0)
      | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f61,f26]) ).

fof(f80,plain,
    ( subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3)))
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f68,f53]) ).

fof(f81,plain,
    ( greater_or_equal(sk4(sk2(sk3)),sk2(sk3))
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f68,f54]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ in_environment(sk3,X0)
      | greater(X0,sk2(sk3))
      | X0 = sk2(sk3)
      | greater(sk2(sk3),X0)
      | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f68,f26]) ).

fof(f83,plain,
    ( spl0_4
  <=> greater(sk2(sk3),equilibrium(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f84,plain,
    ( greater(sk2(sk3),equilibrium(sk3))
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f83]) ).

fof(f86,plain,
    ( spl0_5
  <=> sk2(sk3) = equilibrium(sk3) ),
    introduced(split_symbol_definition) ).

fof(f87,plain,
    ( sk2(sk3) = equilibrium(sk3)
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f86]) ).

fof(f89,plain,
    ( greater(sk2(sk3),equilibrium(sk3))
    | sk2(sk3) = equilibrium(sk3)
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f73,f27]) ).

fof(f90,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f89,f83,f86,f72]) ).

fof(f92,plain,
    ( spl0_6
  <=> greater(sk4(sk1(sk3)),sk1(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f93,plain,
    ( greater(sk4(sk1(sk3)),sk1(sk3))
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f92]) ).

fof(f95,plain,
    ( spl0_7
  <=> sk4(sk1(sk3)) = sk1(sk3) ),
    introduced(split_symbol_definition) ).

fof(f96,plain,
    ( sk4(sk1(sk3)) = sk1(sk3)
    | ~ spl0_7 ),
    inference(component_clause,[status(thm)],[f95]) ).

fof(f98,plain,
    ( greater(sk4(sk1(sk3)),sk1(sk3))
    | sk4(sk1(sk3)) = sk1(sk3)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f78,f27]) ).

fof(f99,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f98,f92,f95,f60]) ).

fof(f100,plain,
    ( spl0_8
  <=> greater(sk4(sk2(sk3)),sk2(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f101,plain,
    ( greater(sk4(sk2(sk3)),sk2(sk3))
    | ~ spl0_8 ),
    inference(component_clause,[status(thm)],[f100]) ).

fof(f102,plain,
    ( ~ greater(sk4(sk2(sk3)),sk2(sk3))
    | spl0_8 ),
    inference(component_clause,[status(thm)],[f100]) ).

fof(f103,plain,
    ( spl0_9
  <=> sk4(sk2(sk3)) = sk2(sk3) ),
    introduced(split_symbol_definition) ).

fof(f104,plain,
    ( sk4(sk2(sk3)) = sk2(sk3)
    | ~ spl0_9 ),
    inference(component_clause,[status(thm)],[f103]) ).

fof(f106,plain,
    ( greater(sk4(sk2(sk3)),sk2(sk3))
    | sk4(sk2(sk3)) = sk2(sk3)
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f81,f27]) ).

fof(f107,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f106,f100,f103,f67]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ greater(sk1(sk3),X0)
      | greater(sk4(sk1(sk3)),X0)
      | ~ spl0_6 ),
    inference(resolution,[status(thm)],[f93,f24]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ greater(sk2(sk3),X0)
      | greater(sk4(sk2(sk3)),X0)
      | ~ spl0_8 ),
    inference(resolution,[status(thm)],[f101,f24]) ).

fof(f110,plain,
    ( spl0_10
  <=> greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f111,plain,
    ( greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
    | ~ spl0_10 ),
    inference(component_clause,[status(thm)],[f110]) ).

fof(f112,plain,
    ( ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
    | spl0_10 ),
    inference(component_clause,[status(thm)],[f110]) ).

fof(f113,plain,
    ( spl0_11
  <=> growth_rate(efficient_producers,sk4(sk1(sk3))) = zero ),
    introduced(split_symbol_definition) ).

fof(f114,plain,
    ( growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
    | ~ spl0_11 ),
    inference(component_clause,[status(thm)],[f113]) ).

fof(f115,plain,
    ( growth_rate(efficient_producers,sk4(sk1(sk3))) != zero
    | spl0_11 ),
    inference(component_clause,[status(thm)],[f113]) ).

fof(f116,plain,
    ( spl0_12
  <=> greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
    introduced(split_symbol_definition) ).

fof(f117,plain,
    ( greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
    | ~ spl0_12 ),
    inference(component_clause,[status(thm)],[f116]) ).

fof(f118,plain,
    ( ~ greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f116]) ).

fof(f119,plain,
    ( spl0_13
  <=> greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
    introduced(split_symbol_definition) ).

fof(f120,plain,
    ( greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
    | ~ spl0_13 ),
    inference(component_clause,[status(thm)],[f119]) ).

fof(f121,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
    | spl0_13 ),
    inference(component_clause,[status(thm)],[f119]) ).

fof(f122,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
    | growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
    | greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
    | greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f77,f45]) ).

fof(f123,plain,
    ( ~ spl0_0
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | spl0_13
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f122,f57,f110,f113,f116,f119,f60]) ).

fof(f124,plain,
    ( spl0_14
  <=> greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
    introduced(split_symbol_definition) ).

fof(f125,plain,
    ( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
    | ~ spl0_14 ),
    inference(component_clause,[status(thm)],[f124]) ).

fof(f126,plain,
    ( ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
    | spl0_14 ),
    inference(component_clause,[status(thm)],[f124]) ).

fof(f127,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
    | growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
    | greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
    | greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f77,f43]) ).

fof(f128,plain,
    ( ~ spl0_0
    | ~ spl0_10
    | spl0_11
    | spl0_12
    | spl0_14
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f127,f57,f110,f113,f116,f124,f60]) ).

fof(f129,plain,
    ( spl0_15
  <=> greater(growth_rate(first_movers,sk4(sk1(sk3))),zero) ),
    introduced(split_symbol_definition) ).

fof(f130,plain,
    ( greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
    | ~ spl0_15 ),
    inference(component_clause,[status(thm)],[f129]) ).

fof(f131,plain,
    ( ~ greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
    | spl0_15 ),
    inference(component_clause,[status(thm)],[f129]) ).

fof(f132,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
    | growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
    | greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
    | greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f77,f41]) ).

fof(f133,plain,
    ( ~ spl0_0
    | ~ spl0_10
    | spl0_11
    | spl0_15
    | spl0_13
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f132,f57,f110,f113,f129,f119,f60]) ).

fof(f134,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
    | growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
    | greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
    | greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f77,f39]) ).

fof(f135,plain,
    ( ~ spl0_0
    | ~ spl0_10
    | spl0_11
    | spl0_15
    | spl0_14
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f134,f57,f110,f113,f129,f124,f60]) ).

fof(f136,plain,
    ( spl0_16
  <=> growth_rate(first_movers,sk4(sk1(sk3))) = zero ),
    introduced(split_symbol_definition) ).

fof(f137,plain,
    ( growth_rate(first_movers,sk4(sk1(sk3))) = zero
    | ~ spl0_16 ),
    inference(component_clause,[status(thm)],[f136]) ).

fof(f138,plain,
    ( growth_rate(first_movers,sk4(sk1(sk3))) != zero
    | spl0_16 ),
    inference(component_clause,[status(thm)],[f136]) ).

fof(f139,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
    | growth_rate(first_movers,sk4(sk1(sk3))) = zero
    | greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
    | greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f77,f37]) ).

fof(f140,plain,
    ( ~ spl0_0
    | ~ spl0_10
    | spl0_16
    | spl0_12
    | spl0_13
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f139,f57,f110,f136,f116,f119,f60]) ).

fof(f141,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
    | growth_rate(first_movers,sk4(sk1(sk3))) = zero
    | greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
    | greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f77,f35]) ).

fof(f142,plain,
    ( ~ spl0_0
    | ~ spl0_10
    | spl0_16
    | spl0_12
    | spl0_14
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f141,f57,f110,f136,f116,f124,f60]) ).

fof(f145,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
    | growth_rate(first_movers,sk4(sk1(sk3))) = zero
    | greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
    | greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f77,f31]) ).

fof(f146,plain,
    ( ~ spl0_0
    | ~ spl0_10
    | spl0_16
    | spl0_15
    | spl0_14
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f145,f57,f110,f136,f129,f124,f60]) ).

fof(f147,plain,
    ( spl0_17
  <=> stable(sk3) ),
    introduced(split_symbol_definition) ).

fof(f149,plain,
    ( ~ stable(sk3)
    | spl0_17 ),
    inference(component_clause,[status(thm)],[f147]) ).

fof(f150,plain,
    ( spl0_18
  <=> greater_or_equal(sk4(sk1(sk3)),sk1(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f152,plain,
    ( ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
    | spl0_18 ),
    inference(component_clause,[status(thm)],[f150]) ).

fof(f153,plain,
    ( spl0_19
  <=> greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))) ),
    introduced(split_symbol_definition) ).

fof(f154,plain,
    ( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3))))
    | ~ spl0_19 ),
    inference(component_clause,[status(thm)],[f153]) ).

fof(f156,plain,
    ( ~ environment(sk3)
    | ~ stable(sk3)
    | ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
    | greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3))))
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f77,f48]) ).

fof(f157,plain,
    ( ~ spl0_0
    | ~ spl0_17
    | ~ spl0_18
    | spl0_19
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f156,f57,f147,f150,f153,f60]) ).

fof(f158,plain,
    ( $false
    | ~ spl0_1
    | spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f152,f78]) ).

fof(f159,plain,
    ( ~ spl0_1
    | spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f158]) ).

fof(f160,plain,
    ( $false
    | spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f149,f52]) ).

fof(f161,plain,
    spl0_17,
    inference(contradiction_clause,[status(thm)],[f160]) ).

fof(f162,plain,
    ( spl0_20
  <=> greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f163,plain,
    ( greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
    | ~ spl0_20 ),
    inference(component_clause,[status(thm)],[f162]) ).

fof(f164,plain,
    ( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
    | spl0_20 ),
    inference(component_clause,[status(thm)],[f162]) ).

fof(f165,plain,
    ( spl0_21
  <=> growth_rate(efficient_producers,sk4(sk2(sk3))) = zero ),
    introduced(split_symbol_definition) ).

fof(f166,plain,
    ( growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
    | ~ spl0_21 ),
    inference(component_clause,[status(thm)],[f165]) ).

fof(f167,plain,
    ( growth_rate(efficient_producers,sk4(sk2(sk3))) != zero
    | spl0_21 ),
    inference(component_clause,[status(thm)],[f165]) ).

fof(f168,plain,
    ( spl0_22
  <=> greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
    introduced(split_symbol_definition) ).

fof(f169,plain,
    ( greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
    | ~ spl0_22 ),
    inference(component_clause,[status(thm)],[f168]) ).

fof(f171,plain,
    ( spl0_23
  <=> greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
    introduced(split_symbol_definition) ).

fof(f172,plain,
    ( greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_23 ),
    inference(component_clause,[status(thm)],[f171]) ).

fof(f173,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
    | spl0_23 ),
    inference(component_clause,[status(thm)],[f171]) ).

fof(f174,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
    | growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
    | greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
    | greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f80,f45]) ).

fof(f175,plain,
    ( ~ spl0_0
    | ~ spl0_20
    | spl0_21
    | spl0_22
    | spl0_23
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f174,f57,f162,f165,f168,f171,f67]) ).

fof(f176,plain,
    ( spl0_24
  <=> greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
    introduced(split_symbol_definition) ).

fof(f177,plain,
    ( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
    | ~ spl0_24 ),
    inference(component_clause,[status(thm)],[f176]) ).

fof(f178,plain,
    ( ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
    | spl0_24 ),
    inference(component_clause,[status(thm)],[f176]) ).

fof(f179,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
    | growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
    | greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
    | greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f80,f43]) ).

fof(f180,plain,
    ( ~ spl0_0
    | ~ spl0_20
    | spl0_21
    | spl0_22
    | spl0_24
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f179,f57,f162,f165,f168,f176,f67]) ).

fof(f181,plain,
    ( spl0_25
  <=> greater(growth_rate(first_movers,sk4(sk2(sk3))),zero) ),
    introduced(split_symbol_definition) ).

fof(f182,plain,
    ( greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
    | ~ spl0_25 ),
    inference(component_clause,[status(thm)],[f181]) ).

fof(f183,plain,
    ( ~ greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
    | spl0_25 ),
    inference(component_clause,[status(thm)],[f181]) ).

fof(f184,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
    | growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
    | greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
    | greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f80,f41]) ).

fof(f185,plain,
    ( ~ spl0_0
    | ~ spl0_20
    | spl0_21
    | spl0_25
    | spl0_23
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f184,f57,f162,f165,f181,f171,f67]) ).

fof(f186,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
    | growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
    | greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
    | greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f80,f39]) ).

fof(f187,plain,
    ( ~ spl0_0
    | ~ spl0_20
    | spl0_21
    | spl0_25
    | spl0_24
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f186,f57,f162,f165,f181,f176,f67]) ).

fof(f188,plain,
    ( spl0_26
  <=> growth_rate(first_movers,sk4(sk2(sk3))) = zero ),
    introduced(split_symbol_definition) ).

fof(f189,plain,
    ( growth_rate(first_movers,sk4(sk2(sk3))) = zero
    | ~ spl0_26 ),
    inference(component_clause,[status(thm)],[f188]) ).

fof(f190,plain,
    ( growth_rate(first_movers,sk4(sk2(sk3))) != zero
    | spl0_26 ),
    inference(component_clause,[status(thm)],[f188]) ).

fof(f191,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
    | growth_rate(first_movers,sk4(sk2(sk3))) = zero
    | greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
    | greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f80,f37]) ).

fof(f192,plain,
    ( ~ spl0_0
    | ~ spl0_20
    | spl0_26
    | spl0_22
    | spl0_23
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f191,f57,f162,f188,f168,f171,f67]) ).

fof(f193,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
    | growth_rate(first_movers,sk4(sk2(sk3))) = zero
    | greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
    | greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f80,f35]) ).

fof(f194,plain,
    ( ~ spl0_0
    | ~ spl0_20
    | spl0_26
    | spl0_22
    | spl0_24
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f193,f57,f162,f188,f168,f176,f67]) ).

fof(f195,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
    | growth_rate(first_movers,sk4(sk2(sk3))) = zero
    | greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
    | greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f80,f33]) ).

fof(f196,plain,
    ( ~ spl0_0
    | ~ spl0_20
    | spl0_26
    | spl0_25
    | spl0_23
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f195,f57,f162,f188,f181,f171,f67]) ).

fof(f197,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
    | growth_rate(first_movers,sk4(sk2(sk3))) = zero
    | greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
    | greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f80,f31]) ).

fof(f198,plain,
    ( ~ spl0_0
    | ~ spl0_20
    | spl0_26
    | spl0_25
    | spl0_24
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f197,f57,f162,f188,f181,f176,f67]) ).

fof(f199,plain,
    ( spl0_27
  <=> greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f200,plain,
    ( greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
    | ~ spl0_27 ),
    inference(component_clause,[status(thm)],[f199]) ).

fof(f201,plain,
    ( ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
    | spl0_27 ),
    inference(component_clause,[status(thm)],[f199]) ).

fof(f202,plain,
    ( spl0_28
  <=> greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
    introduced(split_symbol_definition) ).

fof(f203,plain,
    ( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_28 ),
    inference(component_clause,[status(thm)],[f202]) ).

fof(f204,plain,
    ( ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
    | spl0_28 ),
    inference(component_clause,[status(thm)],[f202]) ).

fof(f205,plain,
    ( ~ environment(sk3)
    | ~ stable(sk3)
    | ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
    | greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f80,f48]) ).

fof(f206,plain,
    ( ~ spl0_0
    | ~ spl0_17
    | ~ spl0_27
    | spl0_28
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f205,f57,f147,f199,f202,f67]) ).

fof(f207,plain,
    ( spl0_29
  <=> greater(sk2(sk3),sk1(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f208,plain,
    ( greater(sk2(sk3),sk1(sk3))
    | ~ spl0_29 ),
    inference(component_clause,[status(thm)],[f207]) ).

fof(f209,plain,
    ( ~ greater(sk2(sk3),sk1(sk3))
    | spl0_29 ),
    inference(component_clause,[status(thm)],[f207]) ).

fof(f210,plain,
    ( spl0_30
  <=> sk2(sk3) = sk1(sk3) ),
    introduced(split_symbol_definition) ).

fof(f211,plain,
    ( sk2(sk3) = sk1(sk3)
    | ~ spl0_30 ),
    inference(component_clause,[status(thm)],[f210]) ).

fof(f213,plain,
    ( spl0_31
  <=> greater(sk1(sk3),sk2(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f214,plain,
    ( greater(sk1(sk3),sk2(sk3))
    | ~ spl0_31 ),
    inference(component_clause,[status(thm)],[f213]) ).

fof(f216,plain,
    ( greater(sk2(sk3),sk1(sk3))
    | sk2(sk3) = sk1(sk3)
    | greater(sk1(sk3),sk2(sk3))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f79,f68]) ).

fof(f217,plain,
    ( spl0_29
    | spl0_30
    | spl0_31
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f216,f207,f210,f213,f60,f67]) ).

fof(f218,plain,
    ( spl0_32
  <=> greater(sk1(sk3),sk1(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f219,plain,
    ( greater(sk1(sk3),sk1(sk3))
    | ~ spl0_32 ),
    inference(component_clause,[status(thm)],[f218]) ).

fof(f221,plain,
    ( spl0_33
  <=> sk1(sk3) = sk1(sk3) ),
    introduced(split_symbol_definition) ).

fof(f224,plain,
    ( greater(sk1(sk3),sk1(sk3))
    | sk1(sk3) = sk1(sk3)
    | greater(sk1(sk3),sk1(sk3))
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f79,f61]) ).

fof(f225,plain,
    ( spl0_32
    | spl0_33
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f224,f218,f221,f60]) ).

fof(f227,plain,
    ( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f137,f154]) ).

fof(f228,plain,
    ( spl0_34
  <=> greater(sk2(sk3),sk2(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f229,plain,
    ( greater(sk2(sk3),sk2(sk3))
    | ~ spl0_34 ),
    inference(component_clause,[status(thm)],[f228]) ).

fof(f230,plain,
    ( ~ greater(sk2(sk3),sk2(sk3))
    | spl0_34 ),
    inference(component_clause,[status(thm)],[f228]) ).

fof(f231,plain,
    ( spl0_35
  <=> sk2(sk3) = sk2(sk3) ),
    introduced(split_symbol_definition) ).

fof(f234,plain,
    ( greater(sk2(sk3),sk2(sk3))
    | sk2(sk3) = sk2(sk3)
    | greater(sk2(sk3),sk2(sk3))
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f82,f68]) ).

fof(f235,plain,
    ( spl0_34
    | spl0_35
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f234,f228,f231,f67]) ).

fof(f240,plain,
    ( greater_or_equal(sk1(sk3),sk2(sk3))
    | ~ spl0_31 ),
    inference(resolution,[status(thm)],[f214,f28]) ).

fof(f241,plain,
    ! [X0] :
      ( ~ greater(sk2(sk3),X0)
      | greater(sk1(sk3),X0)
      | ~ spl0_31 ),
    inference(resolution,[status(thm)],[f214,f24]) ).

fof(f245,plain,
    ( spl0_36
  <=> greater(zero,zero) ),
    introduced(split_symbol_definition) ).

fof(f247,plain,
    ( ~ greater(zero,zero)
    | spl0_36 ),
    inference(component_clause,[status(thm)],[f245]) ).

fof(f248,plain,
    ( ~ in_environment(sk3,sk2(sk3))
    | ~ greater(zero,zero)
    | ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_21 ),
    inference(paramodulation,[status(thm)],[f166,f55]) ).

fof(f249,plain,
    ( ~ spl0_2
    | ~ spl0_36
    | ~ spl0_23
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f248,f67,f245,f171,f165]) ).

fof(f250,plain,
    ( greater(zero,zero)
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f114,f125]) ).

fof(f251,plain,
    ( $false
    | spl0_36
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f250,f247]) ).

fof(f252,plain,
    ( spl0_36
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f251]) ).

fof(f253,plain,
    ( greater(zero,zero)
    | ~ spl0_16
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f137,f130]) ).

fof(f256,plain,
    ( sk4(sk1(sk3)) = sk2(sk3)
    | ~ spl0_30
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f211,f104]) ).

fof(f257,plain,
    ( sk4(sk1(sk3)) = sk1(sk3)
    | ~ spl0_30
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f211,f256]) ).

fof(f262,plain,
    ( ~ greater(zero,zero)
    | ~ spl0_26
    | spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f189,f173]) ).

fof(f262_001,plain,
    ( ~ greater(zero,zero)
    | ~ spl0_26
    | spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f189,f173]) ).

fof(f269,plain,
    ( ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
    | ~ spl0_30
    | spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f211,f201]) ).

fof(f270,plain,
    ( ~ spl0_18
    | ~ spl0_30
    | spl0_27 ),
    inference(split_clause,[status(thm)],[f269,f150,f210,f199]) ).

fof(f272,plain,
    ( greater(sk2(sk3),sk1(sk3))
    | ~ spl0_30
    | ~ spl0_34 ),
    inference(backward_demodulation,[status(thm)],[f211,f229]) ).

fof(f284,plain,
    ( greater(sk1(sk3),equilibrium(sk3))
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f211,f84]) ).

fof(f285,plain,
    ( greater_or_equal(sk1(sk3),equilibrium(sk3))
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f211,f73]) ).

fof(f290,plain,
    ( ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
    | ~ spl0_5
    | spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f87,f164]) ).

fof(f291,plain,
    ( greater_or_equal(sk1(sk3),equilibrium(sk3))
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f87,f240]) ).

fof(f294,plain,
    ( greater(sk1(sk3),equilibrium(sk3))
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f87,f214]) ).

fof(f301,plain,
    ( greater_or_equal(sk4(equilibrium(sk3)),sk2(sk3))
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f87,f81]) ).

fof(f302,plain,
    ( greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f87,f301]) ).

fof(f303,plain,
    ( $false
    | spl0_20
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f302,f290]) ).

fof(f304,plain,
    ( spl0_20
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f303]) ).

fof(f307,plain,
    ( growth_rate(efficient_producers,sk1(sk3)) != zero
    | ~ spl0_7
    | spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f96,f115]) ).

fof(f310,plain,
    ( subpopulations(first_movers,efficient_producers,sk3,sk1(sk3))
    | ~ spl0_7
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f96,f77]) ).

fof(f311,plain,
    ( ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
    | ~ spl0_7
    | spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f96,f112]) ).

fof(f321,plain,
    ( spl0_37
  <=> greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
    introduced(split_symbol_definition) ).

fof(f322,plain,
    ( greater(growth_rate(efficient_producers,sk1(sk3)),zero)
    | ~ spl0_37 ),
    inference(component_clause,[status(thm)],[f321]) ).

fof(f323,plain,
    ( ~ greater(growth_rate(efficient_producers,sk1(sk3)),zero)
    | spl0_37 ),
    inference(component_clause,[status(thm)],[f321]) ).

fof(f324,plain,
    ( ~ in_environment(sk3,sk1(sk3))
    | ~ greater(growth_rate(efficient_producers,sk1(sk3)),zero)
    | ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
    | ~ spl0_7 ),
    inference(paramodulation,[status(thm)],[f96,f55]) ).

fof(f325,plain,
    ( ~ spl0_1
    | ~ spl0_37
    | ~ spl0_13
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f324,f60,f321,f119,f95]) ).

fof(f326,plain,
    ( greater_or_equal(sk2(sk3),sk1(sk3))
    | ~ spl0_29 ),
    inference(resolution,[status(thm)],[f208,f28]) ).

fof(f355,plain,
    ( spl0_38
  <=> greater(sk4(sk2(sk3)),equilibrium(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f356,plain,
    ( greater(sk4(sk2(sk3)),equilibrium(sk3))
    | ~ spl0_38 ),
    inference(component_clause,[status(thm)],[f355]) ).

fof(f358,plain,
    ( spl0_39
  <=> sk4(sk2(sk3)) = equilibrium(sk3) ),
    introduced(split_symbol_definition) ).

fof(f359,plain,
    ( sk4(sk2(sk3)) = equilibrium(sk3)
    | ~ spl0_39 ),
    inference(component_clause,[status(thm)],[f358]) ).

fof(f361,plain,
    ( greater(sk4(sk2(sk3)),equilibrium(sk3))
    | sk4(sk2(sk3)) = equilibrium(sk3)
    | ~ spl0_20 ),
    inference(resolution,[status(thm)],[f163,f27]) ).

fof(f362,plain,
    ( spl0_38
    | spl0_39
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f361,f355,f358,f162]) ).

fof(f373,plain,
    ( spl0_40
  <=> greater(growth_rate(efficient_producers,equilibrium(sk3)),zero) ),
    introduced(split_symbol_definition) ).

fof(f374,plain,
    ( greater(growth_rate(efficient_producers,equilibrium(sk3)),zero)
    | ~ spl0_40 ),
    inference(component_clause,[status(thm)],[f373]) ).

fof(f375,plain,
    ( ~ greater(growth_rate(efficient_producers,equilibrium(sk3)),zero)
    | spl0_40 ),
    inference(component_clause,[status(thm)],[f373]) ).

fof(f376,plain,
    ( ~ in_environment(sk3,sk2(sk3))
    | ~ greater(growth_rate(efficient_producers,equilibrium(sk3)),zero)
    | ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_39 ),
    inference(paramodulation,[status(thm)],[f359,f55]) ).

fof(f377,plain,
    ( ~ spl0_2
    | ~ spl0_40
    | ~ spl0_23
    | ~ spl0_39 ),
    inference(split_clause,[status(thm)],[f376,f67,f373,f171,f358]) ).

fof(f425,plain,
    ! [X0] :
      ( ~ greater(equilibrium(sk3),X0)
      | greater(sk4(sk2(sk3)),X0)
      | ~ spl0_38 ),
    inference(resolution,[status(thm)],[f356,f24]) ).

fof(f428,plain,
    ( greater(sk1(sk3),equilibrium(sk3))
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f241,f84]) ).

fof(f429,plain,
    ( greater_or_equal(sk1(sk3),equilibrium(sk3))
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f428,f28]) ).

fof(f431,plain,
    ( spl0_41
  <=> greater(sk1(sk3),equilibrium(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f432,plain,
    ( greater(sk1(sk3),equilibrium(sk3))
    | ~ spl0_41 ),
    inference(component_clause,[status(thm)],[f431]) ).

fof(f433,plain,
    ( ~ greater(sk1(sk3),equilibrium(sk3))
    | spl0_41 ),
    inference(component_clause,[status(thm)],[f431]) ).

fof(f434,plain,
    ( spl0_42
  <=> sk1(sk3) = equilibrium(sk3) ),
    introduced(split_symbol_definition) ).

fof(f435,plain,
    ( sk1(sk3) = equilibrium(sk3)
    | ~ spl0_42 ),
    inference(component_clause,[status(thm)],[f434]) ).

fof(f437,plain,
    ( greater(sk1(sk3),equilibrium(sk3))
    | sk1(sk3) = equilibrium(sk3)
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f429,f27]) ).

fof(f438,plain,
    ( spl0_41
    | spl0_42
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f437,f431,f434,f213,f83]) ).

fof(f440,plain,
    ( subpopulations(first_movers,efficient_producers,sk3,sk4(equilibrium(sk3)))
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f435,f77]) ).

fof(f441,plain,
    ( ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
    | ~ spl0_42
    | spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f435,f112]) ).

fof(f444,plain,
    ( greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f435,f78]) ).

fof(f445,plain,
    ( greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f435,f444]) ).

fof(f446,plain,
    ( $false
    | spl0_10
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f445,f441]) ).

fof(f447,plain,
    ( spl0_10
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(contradiction_clause,[status(thm)],[f446]) ).

fof(f458,plain,
    ( greater_or_equal(sk1(sk3),equilibrium(sk3))
    | ~ spl0_41 ),
    inference(resolution,[status(thm)],[f432,f28]) ).

fof(f462,plain,
    ( spl0_43
  <=> greater(sk4(sk1(sk3)),equilibrium(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f463,plain,
    ( greater(sk4(sk1(sk3)),equilibrium(sk3))
    | ~ spl0_43 ),
    inference(component_clause,[status(thm)],[f462]) ).

fof(f465,plain,
    ( spl0_44
  <=> sk4(sk1(sk3)) = equilibrium(sk3) ),
    introduced(split_symbol_definition) ).

fof(f466,plain,
    ( sk4(sk1(sk3)) = equilibrium(sk3)
    | ~ spl0_44 ),
    inference(component_clause,[status(thm)],[f465]) ).

fof(f468,plain,
    ( greater(sk4(sk1(sk3)),equilibrium(sk3))
    | sk4(sk1(sk3)) = equilibrium(sk3)
    | ~ spl0_10 ),
    inference(resolution,[status(thm)],[f111,f27]) ).

fof(f469,plain,
    ( spl0_43
    | spl0_44
    | ~ spl0_10 ),
    inference(split_clause,[status(thm)],[f468,f462,f465,f110]) ).

fof(f473,plain,
    ( greater(growth_rate(efficient_producers,equilibrium(sk3)),zero)
    | ~ spl0_44
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f466,f227]) ).

fof(f474,plain,
    ( $false
    | spl0_40
    | ~ spl0_44
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f473,f375]) ).

fof(f475,plain,
    ( spl0_40
    | ~ spl0_44
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f474]) ).

fof(f488,plain,
    ! [X0] :
      ( ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),X0)
      | greater(zero,X0)
      | ~ spl0_22 ),
    inference(resolution,[status(thm)],[f169,f24]) ).

fof(f489,plain,
    ( ~ in_environment(sk3,sk2(sk3))
    | ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_24 ),
    inference(resolution,[status(thm)],[f177,f55]) ).

fof(f490,plain,
    ( ~ spl0_2
    | ~ spl0_23
    | ~ spl0_24 ),
    inference(split_clause,[status(thm)],[f489,f67,f171,f176]) ).

fof(f493,plain,
    ( greater(zero,zero)
    | ~ spl0_21
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f166,f169]) ).

fof(f494,plain,
    ( greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_21
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f166,f203]) ).

fof(f495,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_28
    | spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f173,f494]) ).

fof(f496,plain,
    ( ~ spl0_21
    | ~ spl0_28
    | spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f495]) ).

fof(f500,plain,
    ! [X0] :
      ( ~ greater(zero,X0)
      | greater(growth_rate(efficient_producers,equilibrium(sk3)),X0)
      | ~ spl0_40 ),
    inference(resolution,[status(thm)],[f374,f24]) ).

fof(f519,plain,
    ( ~ in_environment(sk3,sk1(sk3))
    | ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
    | ~ spl0_14 ),
    inference(resolution,[status(thm)],[f125,f55]) ).

fof(f520,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f519,f60,f119,f124]) ).

fof(f521,plain,
    ( greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
    | ~ spl0_14 ),
    inference(resolution,[status(thm)],[f125,f28]) ).

fof(f523,plain,
    ( ~ greater(zero,zero)
    | ~ spl0_16
    | spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f137,f121]) ).

fof(f523_002,plain,
    ( ~ greater(zero,zero)
    | ~ spl0_16
    | spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f137,f121]) ).

fof(f524,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_16
    | spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f523,f253]) ).

fof(f525,plain,
    ( ~ spl0_15
    | ~ spl0_16
    | spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f524]) ).

fof(f526,plain,
    ( ~ greater(zero,zero)
    | ~ spl0_11
    | spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f114,f126]) ).

fof(f527,plain,
    ( greater(zero,zero)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[status(thm)],[f114,f117]) ).

fof(f528,plain,
    ( $false
    | spl0_14
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f527,f526]) ).

fof(f529,plain,
    ( spl0_14
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f528]) ).

fof(f531,plain,
    ! [X0] :
      ( ~ greater(zero,X0)
      | greater(growth_rate(first_movers,sk4(sk2(sk3))),X0)
      | ~ spl0_25 ),
    inference(resolution,[status(thm)],[f182,f24]) ).

fof(f546,plain,
    ! [X0] :
      ( ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),X0)
      | greater(zero,X0)
      | ~ spl0_12 ),
    inference(resolution,[status(thm)],[f117,f24]) ).

fof(f553,plain,
    ( greater(sk4(sk2(sk3)),sk1(sk3))
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(resolution,[status(thm)],[f109,f208]) ).

fof(f556,plain,
    ! [X0] :
      ( ~ greater(growth_rate(first_movers,sk4(sk1(sk3))),X0)
      | greater(growth_rate(efficient_producers,sk4(sk1(sk3))),X0)
      | ~ spl0_19 ),
    inference(resolution,[status(thm)],[f154,f24]) ).

fof(f558,plain,
    ( greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(resolution,[status(thm)],[f553,f28]) ).

fof(f559,plain,
    ( $false
    | spl0_27
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f558,f201]) ).

fof(f560,plain,
    ( spl0_27
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f559]) ).

fof(f562,plain,
    ( greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
    | ~ spl0_38 ),
    inference(resolution,[status(thm)],[f356,f28]) ).

fof(f563,plain,
    ( spl0_20
    | ~ spl0_38 ),
    inference(split_clause,[status(thm)],[f562,f162,f355]) ).

fof(f564,plain,
    ( greater(sk4(sk2(sk3)),equilibrium(sk3))
    | ~ spl0_8
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f109,f84]) ).

fof(f565,plain,
    ( spl0_38
    | ~ spl0_8
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f564,f355,f100,f83]) ).

fof(f569,plain,
    ( greater(growth_rate(first_movers,sk2(sk3)),zero)
    | ~ spl0_9
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f104,f182]) ).

fof(f570,plain,
    ( growth_rate(efficient_producers,sk2(sk3)) != zero
    | ~ spl0_9
    | spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f104,f167]) ).

fof(f571,plain,
    ( subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f104,f80]) ).

fof(f573,plain,
    ( ~ greater_or_equal(sk2(sk3),sk1(sk3))
    | ~ spl0_9
    | spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f104,f201]) ).

fof(f574,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_9
    | spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f573,f326]) ).

fof(f575,plain,
    ( ~ spl0_29
    | ~ spl0_9
    | spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f574]) ).

fof(f576,plain,
    ( ~ greater(sk2(sk3),sk2(sk3))
    | ~ spl0_9
    | spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f104,f102]) ).

fof(f577,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_9
    | spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f576,f229]) ).

fof(f578,plain,
    ( ~ spl0_34
    | ~ spl0_9
    | spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f577]) ).

fof(f579,plain,
    ! [X0] :
      ( ~ greater(zero,X0)
      | greater(growth_rate(first_movers,sk2(sk3)),X0)
      | ~ spl0_9
      | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f104,f531]) ).

fof(f580,plain,
    ! [X0] :
      ( ~ greater(growth_rate(efficient_producers,sk2(sk3)),X0)
      | greater(zero,X0)
      | ~ spl0_9
      | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f104,f488]) ).

fof(f581,plain,
    ( greater(zero,growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_9
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f104,f172]) ).

fof(f584,plain,
    ( greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f104,f203]) ).

fof(f585,plain,
    ( greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f104,f584]) ).

fof(f594,plain,
    ( ~ greater(sk1(sk3),sk2(sk3))
    | ~ spl0_30
    | spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f211,f230]) ).

fof(f595,plain,
    ( ~ greater(sk1(sk3),sk1(sk3))
    | ~ spl0_30
    | spl0_34 ),
    inference(forward_demodulation,[status(thm)],[f211,f594]) ).

fof(f596,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_30
    | spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f595,f219]) ).

fof(f597,plain,
    ( ~ spl0_32
    | ~ spl0_30
    | spl0_34 ),
    inference(contradiction_clause,[status(thm)],[f596]) ).

fof(f601,plain,
    ( greater(sk1(sk3),sk1(sk3))
    | ~ spl0_30
    | ~ spl0_9
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f257,f93]) ).

fof(f607,plain,
    ( greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
    | ~ spl0_43 ),
    inference(resolution,[status(thm)],[f463,f28]) ).

fof(f608,plain,
    ( spl0_10
    | ~ spl0_43 ),
    inference(split_clause,[status(thm)],[f607,f110,f462]) ).

fof(f612,plain,
    ( ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
    | ~ spl0_30
    | ~ spl0_9
    | spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f257,f112]) ).

fof(f613,plain,
    ( greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
    | ~ spl0_30
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f211,f169]) ).

fof(f614,plain,
    ( spl0_12
    | ~ spl0_30
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f613,f116,f210,f168]) ).

fof(f620,plain,
    ( greater_or_equal(sk1(sk3),equilibrium(sk3))
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f211,f73]) ).

fof(f621,plain,
    ( $false
    | ~ spl0_9
    | spl0_10
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f620,f612]) ).

fof(f622,plain,
    ( ~ spl0_9
    | spl0_10
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f621]) ).

fof(f625,plain,
    ( ~ greater(sk1(sk3),sk1(sk3))
    | ~ spl0_30
    | spl0_29 ),
    inference(backward_demodulation,[status(thm)],[f211,f209]) ).

fof(f626,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_6
    | ~ spl0_30
    | spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f625,f601]) ).

fof(f627,plain,
    ( ~ spl0_9
    | ~ spl0_6
    | ~ spl0_30
    | spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f626]) ).

fof(f629,plain,
    ( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
    | ~ spl0_26
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f189,f203]) ).

fof(f630,plain,
    ( spl0_24
    | ~ spl0_26
    | ~ spl0_28 ),
    inference(split_clause,[status(thm)],[f629,f176,f188,f202]) ).

fof(f632,plain,
    ( in_environment(sk3,equilibrium(sk3))
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f435,f61]) ).

fof(f636,plain,
    ( greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(sk1(sk3))))
    | ~ spl0_42
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f435,f154]) ).

fof(f637,plain,
    ( greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3))))
    | ~ spl0_42
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f435,f636]) ).

fof(f641,plain,
    ( greater_or_equal(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
    | ~ spl0_42
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f435,f521]) ).

fof(f642,plain,
    ( greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
    | ~ spl0_42
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f435,f125]) ).

fof(f665,plain,
    ! [X0] :
      ( ~ in_environment(sk3,X0)
      | greater(X0,sk1(sk3))
      | X0 = sk1(sk3)
      | greater(equilibrium(sk3),X0)
      | ~ spl0_42
      | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f435,f79]) ).

fof(f666,plain,
    ! [X0] :
      ( ~ in_environment(sk3,X0)
      | greater(X0,equilibrium(sk3))
      | X0 = sk1(sk3)
      | greater(equilibrium(sk3),X0)
      | ~ spl0_42
      | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f435,f665]) ).

fof(f667,plain,
    ! [X0] :
      ( ~ in_environment(sk3,X0)
      | greater(X0,equilibrium(sk3))
      | X0 = equilibrium(sk3)
      | greater(equilibrium(sk3),X0)
      | ~ spl0_42
      | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f435,f666]) ).

fof(f672,plain,
    ( greater(growth_rate(efficient_producers,equilibrium(sk3)),zero)
    | ~ spl0_42
    | ~ spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f435,f322]) ).

fof(f673,plain,
    ( spl0_40
    | ~ spl0_42
    | ~ spl0_37 ),
    inference(split_clause,[status(thm)],[f672,f373,f434,f321]) ).

fof(f674,plain,
    ( growth_rate(first_movers,sk2(sk3)) = zero
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f104,f189]) ).

fof(f675,plain,
    ( greater(sk2(sk3),sk2(sk3))
    | ~ spl0_9
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f104,f101]) ).

fof(f676,plain,
    ( spl0_34
    | ~ spl0_9
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f675,f228,f103,f100]) ).

fof(f682,plain,
    ( ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
    | ~ spl0_9
    | spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f104,f164]) ).

fof(f683,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9
    | spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f682,f73]) ).

fof(f684,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f683]) ).

fof(f685,plain,
    ( growth_rate(first_movers,sk2(sk3)) != zero
    | ~ spl0_9
    | spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f104,f190]) ).

fof(f686,plain,
    ( greater(sk4(sk1(sk3)),equilibrium(sk3))
    | ~ spl0_6
    | ~ spl0_41 ),
    inference(resolution,[status(thm)],[f108,f432]) ).

fof(f687,plain,
    ( spl0_43
    | ~ spl0_6
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f686,f462,f92,f431]) ).

fof(f688,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_7
    | spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f311,f458]) ).

fof(f689,plain,
    ( ~ spl0_41
    | ~ spl0_7
    | spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f688]) ).

fof(f694,plain,
    ( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk1(sk3)))
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f96,f154]) ).

fof(f695,plain,
    ( greater(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3)))
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f96,f694]) ).

fof(f699,plain,
    ( greater(growth_rate(efficient_producers,sk1(sk3)),zero)
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f96,f125]) ).

fof(f700,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk1(sk3)))
    | ~ spl0_7
    | spl0_13 ),
    inference(backward_demodulation,[status(thm)],[f96,f121]) ).

fof(f724,plain,
    ( spl0_45
  <=> greater(growth_rate(efficient_producers,sk2(sk3)),zero) ),
    introduced(split_symbol_definition) ).

fof(f725,plain,
    ( greater(growth_rate(efficient_producers,sk2(sk3)),zero)
    | ~ spl0_45 ),
    inference(component_clause,[status(thm)],[f724]) ).

fof(f726,plain,
    ( ~ greater(growth_rate(efficient_producers,sk2(sk3)),zero)
    | spl0_45 ),
    inference(component_clause,[status(thm)],[f724]) ).

fof(f727,plain,
    ( ~ in_environment(sk3,sk2(sk3))
    | ~ greater(growth_rate(efficient_producers,sk2(sk3)),zero)
    | ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_9 ),
    inference(paramodulation,[status(thm)],[f104,f55]) ).

fof(f728,plain,
    ( ~ spl0_2
    | ~ spl0_45
    | ~ spl0_23
    | ~ spl0_9 ),
    inference(split_clause,[status(thm)],[f727,f67,f724,f171,f103]) ).

fof(f755,plain,
    ( ~ greater(equilibrium(sk3),equilibrium(sk3))
    | ~ spl0_42
    | spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f435,f433]) ).

fof(f759,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_9
    | spl0_23 ),
    inference(backward_demodulation,[status(thm)],[f104,f173]) ).

fof(f772,plain,
    ( spl0_46
  <=> growth_rate(efficient_producers,sk2(sk3)) = zero ),
    introduced(split_symbol_definition) ).

fof(f773,plain,
    ( growth_rate(efficient_producers,sk2(sk3)) = zero
    | ~ spl0_46 ),
    inference(component_clause,[status(thm)],[f772]) ).

fof(f775,plain,
    ( spl0_47
  <=> greater(zero,growth_rate(efficient_producers,sk2(sk3))) ),
    introduced(split_symbol_definition) ).

fof(f776,plain,
    ( greater(zero,growth_rate(efficient_producers,sk2(sk3)))
    | ~ spl0_47 ),
    inference(component_clause,[status(thm)],[f775]) ).

fof(f778,plain,
    ( spl0_48
  <=> greater(zero,growth_rate(first_movers,sk2(sk3))) ),
    introduced(split_symbol_definition) ).

fof(f779,plain,
    ( greater(zero,growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_48 ),
    inference(component_clause,[status(thm)],[f778]) ).

fof(f781,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
    | growth_rate(efficient_producers,sk2(sk3)) = zero
    | greater(zero,growth_rate(efficient_producers,sk2(sk3)))
    | greater(zero,growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f571,f45]) ).

fof(f782,plain,
    ( ~ spl0_0
    | ~ spl0_3
    | spl0_46
    | spl0_47
    | spl0_48
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f781,f57,f72,f772,f775,f778,f103,f67]) ).

fof(f783,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
    | growth_rate(efficient_producers,sk2(sk3)) = zero
    | greater(zero,growth_rate(efficient_producers,sk2(sk3)))
    | greater(growth_rate(efficient_producers,sk2(sk3)),zero)
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f571,f43]) ).

fof(f784,plain,
    ( ~ spl0_0
    | ~ spl0_3
    | spl0_46
    | spl0_47
    | spl0_45
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f783,f57,f72,f772,f775,f724,f103,f67]) ).

fof(f785,plain,
    ( spl0_49
  <=> greater(growth_rate(first_movers,sk2(sk3)),zero) ),
    introduced(split_symbol_definition) ).

fof(f786,plain,
    ( greater(growth_rate(first_movers,sk2(sk3)),zero)
    | ~ spl0_49 ),
    inference(component_clause,[status(thm)],[f785]) ).

fof(f787,plain,
    ( ~ greater(growth_rate(first_movers,sk2(sk3)),zero)
    | spl0_49 ),
    inference(component_clause,[status(thm)],[f785]) ).

fof(f788,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
    | growth_rate(efficient_producers,sk2(sk3)) = zero
    | greater(growth_rate(first_movers,sk2(sk3)),zero)
    | greater(zero,growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f571,f41]) ).

fof(f789,plain,
    ( ~ spl0_0
    | ~ spl0_3
    | spl0_46
    | spl0_49
    | spl0_48
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f788,f57,f72,f772,f785,f778,f103,f67]) ).

fof(f790,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
    | growth_rate(efficient_producers,sk2(sk3)) = zero
    | greater(growth_rate(first_movers,sk2(sk3)),zero)
    | greater(growth_rate(efficient_producers,sk2(sk3)),zero)
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f571,f39]) ).

fof(f791,plain,
    ( ~ spl0_0
    | ~ spl0_3
    | spl0_46
    | spl0_49
    | spl0_45
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f790,f57,f72,f772,f785,f724,f103,f67]) ).

fof(f792,plain,
    ( spl0_50
  <=> growth_rate(first_movers,sk2(sk3)) = zero ),
    introduced(split_symbol_definition) ).

fof(f793,plain,
    ( growth_rate(first_movers,sk2(sk3)) = zero
    | ~ spl0_50 ),
    inference(component_clause,[status(thm)],[f792]) ).

fof(f795,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
    | growth_rate(first_movers,sk2(sk3)) = zero
    | greater(zero,growth_rate(efficient_producers,sk2(sk3)))
    | greater(zero,growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f571,f37]) ).

fof(f796,plain,
    ( ~ spl0_0
    | ~ spl0_3
    | spl0_50
    | spl0_47
    | spl0_48
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f795,f57,f72,f792,f775,f778,f103,f67]) ).

fof(f799,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
    | growth_rate(first_movers,sk2(sk3)) = zero
    | greater(growth_rate(first_movers,sk2(sk3)),zero)
    | greater(zero,growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f571,f33]) ).

fof(f800,plain,
    ( ~ spl0_0
    | ~ spl0_3
    | spl0_50
    | spl0_49
    | spl0_48
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f799,f57,f72,f792,f785,f778,f103,f67]) ).

fof(f801,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
    | growth_rate(first_movers,sk2(sk3)) = zero
    | greater(growth_rate(first_movers,sk2(sk3)),zero)
    | greater(growth_rate(efficient_producers,sk2(sk3)),zero)
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f571,f31]) ).

fof(f802,plain,
    ( ~ spl0_0
    | ~ spl0_3
    | spl0_50
    | spl0_49
    | spl0_45
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f801,f57,f72,f792,f785,f724,f103,f67]) ).

fof(f803,plain,
    ( spl0_51
  <=> greater_or_equal(sk2(sk3),sk1(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f805,plain,
    ( ~ greater_or_equal(sk2(sk3),sk1(sk3))
    | spl0_51 ),
    inference(component_clause,[status(thm)],[f803]) ).

fof(f806,plain,
    ( spl0_52
  <=> greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
    introduced(split_symbol_definition) ).

fof(f807,plain,
    ( greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_52 ),
    inference(component_clause,[status(thm)],[f806]) ).

fof(f809,plain,
    ( ~ environment(sk3)
    | ~ stable(sk3)
    | ~ greater_or_equal(sk2(sk3),sk1(sk3))
    | greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f571,f48]) ).

fof(f810,plain,
    ( ~ spl0_0
    | ~ spl0_17
    | ~ spl0_51
    | spl0_52
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f809,f57,f147,f803,f806,f103,f67]) ).

fof(f811,plain,
    ( ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
    | ~ spl0_42
    | spl0_51 ),
    inference(forward_demodulation,[status(thm)],[f435,f805]) ).

fof(f812,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_42
    | spl0_51 ),
    inference(forward_subsumption_resolution,[status(thm)],[f811,f73]) ).

fof(f813,plain,
    ( ~ spl0_3
    | ~ spl0_42
    | spl0_51 ),
    inference(contradiction_clause,[status(thm)],[f812]) ).

fof(f815,plain,
    ( spl0_37
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f699,f321,f95,f124]) ).

fof(f818,plain,
    ( greater_or_equal(sk1(sk3),equilibrium(sk3))
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f96,f111]) ).

fof(f836,plain,
    ( greater(growth_rate(efficient_producers,sk1(sk3)),zero)
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f96,f125]) ).

fof(f851,plain,
    ( $false
    | ~ spl0_9
    | spl0_21
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[status(thm)],[f773,f570]) ).

fof(f852,plain,
    ( ~ spl0_9
    | spl0_21
    | ~ spl0_46 ),
    inference(contradiction_clause,[status(thm)],[f851]) ).

fof(f862,plain,
    ( spl0_53
  <=> greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f864,plain,
    ( ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
    | spl0_53 ),
    inference(component_clause,[status(thm)],[f862]) ).

fof(f865,plain,
    ( spl0_54
  <=> growth_rate(efficient_producers,sk1(sk3)) = zero ),
    introduced(split_symbol_definition) ).

fof(f866,plain,
    ( growth_rate(efficient_producers,sk1(sk3)) = zero
    | ~ spl0_54 ),
    inference(component_clause,[status(thm)],[f865]) ).

fof(f868,plain,
    ( spl0_55
  <=> greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
    introduced(split_symbol_definition) ).

fof(f869,plain,
    ( greater(zero,growth_rate(efficient_producers,sk1(sk3)))
    | ~ spl0_55 ),
    inference(component_clause,[status(thm)],[f868]) ).

fof(f871,plain,
    ( spl0_56
  <=> greater(zero,growth_rate(first_movers,sk1(sk3))) ),
    introduced(split_symbol_definition) ).

fof(f872,plain,
    ( greater(zero,growth_rate(first_movers,sk1(sk3)))
    | ~ spl0_56 ),
    inference(component_clause,[status(thm)],[f871]) ).

fof(f874,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
    | growth_rate(efficient_producers,sk1(sk3)) = zero
    | greater(zero,growth_rate(efficient_producers,sk1(sk3)))
    | greater(zero,growth_rate(first_movers,sk1(sk3)))
    | ~ spl0_7
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f310,f45]) ).

fof(f875,plain,
    ( ~ spl0_0
    | ~ spl0_53
    | spl0_54
    | spl0_55
    | spl0_56
    | ~ spl0_7
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f874,f57,f862,f865,f868,f871,f95,f60]) ).

fof(f876,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
    | growth_rate(efficient_producers,sk1(sk3)) = zero
    | greater(zero,growth_rate(efficient_producers,sk1(sk3)))
    | greater(growth_rate(efficient_producers,sk1(sk3)),zero)
    | ~ spl0_7
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f310,f43]) ).

fof(f877,plain,
    ( ~ spl0_0
    | ~ spl0_53
    | spl0_54
    | spl0_55
    | spl0_37
    | ~ spl0_7
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f876,f57,f862,f865,f868,f321,f95,f60]) ).

fof(f878,plain,
    ( spl0_57
  <=> greater(growth_rate(first_movers,sk1(sk3)),zero) ),
    introduced(split_symbol_definition) ).

fof(f879,plain,
    ( greater(growth_rate(first_movers,sk1(sk3)),zero)
    | ~ spl0_57 ),
    inference(component_clause,[status(thm)],[f878]) ).

fof(f896,plain,
    ( spl0_59
  <=> greater_or_equal(sk1(sk3),sk1(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f898,plain,
    ( ~ greater_or_equal(sk1(sk3),sk1(sk3))
    | spl0_59 ),
    inference(component_clause,[status(thm)],[f896]) ).

fof(f899,plain,
    ( spl0_60
  <=> greater(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3))) ),
    introduced(split_symbol_definition) ).

fof(f902,plain,
    ( ~ environment(sk3)
    | ~ stable(sk3)
    | ~ greater_or_equal(sk1(sk3),sk1(sk3))
    | greater(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3)))
    | ~ spl0_7
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f310,f48]) ).

fof(f903,plain,
    ( ~ spl0_0
    | ~ spl0_17
    | ~ spl0_59
    | spl0_60
    | ~ spl0_7
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f902,f57,f147,f896,f899,f95,f60]) ).

fof(f904,plain,
    ( $false
    | spl0_59 ),
    inference(forward_subsumption_resolution,[status(thm)],[f898,f56]) ).

fof(f905,plain,
    spl0_59,
    inference(contradiction_clause,[status(thm)],[f904]) ).

fof(f906,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_10
    | spl0_53 ),
    inference(forward_subsumption_resolution,[status(thm)],[f864,f818]) ).

fof(f907,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | spl0_53 ),
    inference(contradiction_clause,[status(thm)],[f906]) ).

fof(f909,plain,
    ( $false
    | ~ spl0_7
    | spl0_11
    | ~ spl0_54 ),
    inference(forward_subsumption_resolution,[status(thm)],[f866,f307]) ).

fof(f910,plain,
    ( ~ spl0_7
    | spl0_11
    | ~ spl0_54 ),
    inference(contradiction_clause,[status(thm)],[f909]) ).

fof(f920,plain,
    ( greater(growth_rate(efficient_producers,sk2(sk3)),zero)
    | ~ spl0_50
    | ~ spl0_52 ),
    inference(forward_demodulation,[status(thm)],[f793,f807]) ).

fof(f921,plain,
    ( spl0_45
    | ~ spl0_50
    | ~ spl0_52 ),
    inference(split_clause,[status(thm)],[f920,f724,f792,f806]) ).

fof(f922,plain,
    ( zero != zero
    | ~ spl0_50
    | ~ spl0_9
    | spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f793,f685]) ).

fof(f923,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_9
    | spl0_26 ),
    inference(trivial_equality_resolution,[status(esa)],[f922]) ).

fof(f924,plain,
    ( ~ spl0_50
    | ~ spl0_9
    | spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f923]) ).

fof(f925,plain,
    ( ~ greater(zero,growth_rate(efficient_producers,sk1(sk3)))
    | ~ spl0_7
    | spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f96,f118]) ).

fof(f926,plain,
    ( $false
    | ~ spl0_55
    | ~ spl0_7
    | spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f925,f869]) ).

fof(f927,plain,
    ( ~ spl0_55
    | ~ spl0_7
    | spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f926]) ).

fof(f928,plain,
    ( $false
    | ~ spl0_29
    | spl0_51 ),
    inference(forward_subsumption_resolution,[status(thm)],[f805,f326]) ).

fof(f929,plain,
    ( ~ spl0_29
    | spl0_51 ),
    inference(contradiction_clause,[status(thm)],[f928]) ).

fof(f937,plain,
    ( ~ greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
    | ~ spl0_42
    | spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f435,f126]) ).

fof(f957,plain,
    ( greater(zero,zero)
    | ~ spl0_26
    | ~ spl0_9
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f674,f569]) ).

fof(f958,plain,
    ( $false
    | spl0_23
    | ~ spl0_26
    | ~ spl0_9
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f957,f262]) ).

fof(f959,plain,
    ( spl0_23
    | ~ spl0_26
    | ~ spl0_9
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f958]) ).

fof(f970,plain,
    ( growth_rate(first_movers,sk4(equilibrium(sk3))) != zero
    | ~ spl0_42
    | spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f435,f138]) ).

fof(f973,plain,
    ! [X0] :
      ( ~ greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),X0)
      | greater(zero,X0)
      | ~ spl0_42
      | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f435,f546]) ).

fof(f974,plain,
    ( ~ greater(growth_rate(efficient_producers,equilibrium(sk3)),zero)
    | ~ spl0_42
    | spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f435,f323]) ).

fof(f979,plain,
    ( growth_rate(efficient_producers,sk4(equilibrium(sk3))) != zero
    | ~ spl0_42
    | spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f435,f115]) ).

fof(f981,plain,
    ( spl0_61
  <=> greater(equilibrium(sk3),sk2(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f982,plain,
    ( greater(equilibrium(sk3),sk2(sk3))
    | ~ spl0_61 ),
    inference(component_clause,[status(thm)],[f981]) ).

fof(f991,plain,
    ( spl0_29
    | ~ spl0_30
    | ~ spl0_34 ),
    inference(split_clause,[status(thm)],[f272,f207,f210,f228]) ).

fof(f992,plain,
    ( spl0_53
    | ~ spl0_30
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f285,f862,f210,f72]) ).

fof(f994,plain,
    ( equilibrium(sk3) = sk1(sk3)
    | ~ spl0_5
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f87,f211]) ).

fof(f995,plain,
    ( spl0_42
    | ~ spl0_5
    | ~ spl0_30 ),
    inference(split_clause,[status(thm)],[f994,f434,f86,f210]) ).

fof(f996,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_7
    | spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f700,f872]) ).

fof(f997,plain,
    ( ~ spl0_56
    | ~ spl0_7
    | spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f996]) ).

fof(f1069,plain,
    ( spl0_62
  <=> greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f1070,plain,
    ( greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
    | ~ spl0_62 ),
    inference(component_clause,[status(thm)],[f1069]) ).

fof(f1071,plain,
    ( ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
    | spl0_62 ),
    inference(component_clause,[status(thm)],[f1069]) ).

fof(f1072,plain,
    ( spl0_63
  <=> growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero ),
    introduced(split_symbol_definition) ).

fof(f1073,plain,
    ( growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
    | ~ spl0_63 ),
    inference(component_clause,[status(thm)],[f1072]) ).

fof(f1074,plain,
    ( growth_rate(efficient_producers,sk4(equilibrium(sk3))) != zero
    | spl0_63 ),
    inference(component_clause,[status(thm)],[f1072]) ).

fof(f1075,plain,
    ( spl0_64
  <=> greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3)))) ),
    introduced(split_symbol_definition) ).

fof(f1076,plain,
    ( greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3))))
    | ~ spl0_64 ),
    inference(component_clause,[status(thm)],[f1075]) ).

fof(f1078,plain,
    ( spl0_65
  <=> greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
    introduced(split_symbol_definition) ).

fof(f1079,plain,
    ( greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
    | ~ spl0_65 ),
    inference(component_clause,[status(thm)],[f1078]) ).

fof(f1080,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
    | spl0_65 ),
    inference(component_clause,[status(thm)],[f1078]) ).

fof(f1083,plain,
    ( spl0_66
  <=> greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
    introduced(split_symbol_definition) ).

fof(f1084,plain,
    ( greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
    | ~ spl0_66 ),
    inference(component_clause,[status(thm)],[f1083]) ).

fof(f1085,plain,
    ( ~ greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
    | spl0_66 ),
    inference(component_clause,[status(thm)],[f1083]) ).

fof(f1086,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
    | growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
    | greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3))))
    | greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f440,f43]) ).

fof(f1087,plain,
    ( ~ spl0_0
    | ~ spl0_62
    | spl0_63
    | spl0_64
    | spl0_66
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f1086,f57,f1069,f1072,f1075,f1083,f434,f60]) ).

fof(f1088,plain,
    ( spl0_67
  <=> greater(growth_rate(first_movers,sk4(equilibrium(sk3))),zero) ),
    introduced(split_symbol_definition) ).

fof(f1089,plain,
    ( greater(growth_rate(first_movers,sk4(equilibrium(sk3))),zero)
    | ~ spl0_67 ),
    inference(component_clause,[status(thm)],[f1088]) ).

fof(f1093,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
    | growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
    | greater(growth_rate(first_movers,sk4(equilibrium(sk3))),zero)
    | greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f440,f39]) ).

fof(f1094,plain,
    ( ~ spl0_0
    | ~ spl0_62
    | spl0_63
    | spl0_67
    | spl0_66
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f1093,f57,f1069,f1072,f1088,f1083,f434,f60]) ).

fof(f1095,plain,
    ( spl0_68
  <=> growth_rate(first_movers,sk4(equilibrium(sk3))) = zero ),
    introduced(split_symbol_definition) ).

fof(f1096,plain,
    ( growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
    | ~ spl0_68 ),
    inference(component_clause,[status(thm)],[f1095]) ).

fof(f1100,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
    | growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
    | greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3))))
    | greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f440,f35]) ).

fof(f1101,plain,
    ( ~ spl0_0
    | ~ spl0_62
    | spl0_68
    | spl0_64
    | spl0_66
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f1100,f57,f1069,f1095,f1075,f1083,f434,f60]) ).

fof(f1104,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
    | growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
    | greater(growth_rate(first_movers,sk4(equilibrium(sk3))),zero)
    | greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f440,f31]) ).

fof(f1105,plain,
    ( ~ spl0_0
    | ~ spl0_62
    | spl0_68
    | spl0_67
    | spl0_66
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f1104,f57,f1069,f1095,f1088,f1083,f434,f60]) ).

fof(f1106,plain,
    ( spl0_69
  <=> greater_or_equal(sk4(equilibrium(sk3)),sk1(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f1108,plain,
    ( ~ greater_or_equal(sk4(equilibrium(sk3)),sk1(sk3))
    | spl0_69 ),
    inference(component_clause,[status(thm)],[f1106]) ).

fof(f1109,plain,
    ( spl0_70
  <=> greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
    introduced(split_symbol_definition) ).

fof(f1110,plain,
    ( greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3))))
    | ~ spl0_70 ),
    inference(component_clause,[status(thm)],[f1109]) ).

fof(f1112,plain,
    ( ~ environment(sk3)
    | ~ stable(sk3)
    | ~ greater_or_equal(sk4(equilibrium(sk3)),sk1(sk3))
    | greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3))))
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f440,f48]) ).

fof(f1113,plain,
    ( ~ spl0_0
    | ~ spl0_17
    | ~ spl0_69
    | spl0_70
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f1112,f57,f147,f1106,f1109,f434,f60]) ).

fof(f1114,plain,
    ( ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
    | ~ spl0_42
    | spl0_69 ),
    inference(forward_demodulation,[status(thm)],[f435,f1108]) ).

fof(f1115,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_42
    | spl0_69 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1114,f445]) ).

fof(f1116,plain,
    ( ~ spl0_1
    | ~ spl0_42
    | spl0_69 ),
    inference(contradiction_clause,[status(thm)],[f1115]) ).

fof(f1117,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_1
    | spl0_62 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1071,f445]) ).

fof(f1118,plain,
    ( ~ spl0_42
    | ~ spl0_1
    | spl0_62 ),
    inference(contradiction_clause,[status(thm)],[f1117]) ).

fof(f1119,plain,
    ( $false
    | ~ spl0_42
    | spl0_16
    | ~ spl0_68 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1096,f970]) ).

fof(f1120,plain,
    ( ~ spl0_42
    | spl0_16
    | ~ spl0_68 ),
    inference(contradiction_clause,[status(thm)],[f1119]) ).

fof(f1121,plain,
    ( spl0_71
  <=> greater(sk4(equilibrium(sk3)),equilibrium(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f1122,plain,
    ( greater(sk4(equilibrium(sk3)),equilibrium(sk3))
    | ~ spl0_71 ),
    inference(component_clause,[status(thm)],[f1121]) ).

fof(f1124,plain,
    ( spl0_72
  <=> sk4(equilibrium(sk3)) = equilibrium(sk3) ),
    introduced(split_symbol_definition) ).

fof(f1125,plain,
    ( sk4(equilibrium(sk3)) = equilibrium(sk3)
    | ~ spl0_72 ),
    inference(component_clause,[status(thm)],[f1124]) ).

fof(f1127,plain,
    ( greater(sk4(equilibrium(sk3)),equilibrium(sk3))
    | sk4(equilibrium(sk3)) = equilibrium(sk3)
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f445,f27]) ).

fof(f1128,plain,
    ( spl0_71
    | spl0_72
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f1127,f1121,f1124,f434,f60]) ).

fof(f1165,plain,
    ( spl0_73
  <=> greater(equilibrium(sk3),equilibrium(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f1166,plain,
    ( greater(equilibrium(sk3),equilibrium(sk3))
    | ~ spl0_73 ),
    inference(component_clause,[status(thm)],[f1165]) ).

fof(f1168,plain,
    ( spl0_74
  <=> equilibrium(sk3) = equilibrium(sk3) ),
    introduced(split_symbol_definition) ).

fof(f1171,plain,
    ( greater(equilibrium(sk3),equilibrium(sk3))
    | equilibrium(sk3) = equilibrium(sk3)
    | greater(equilibrium(sk3),equilibrium(sk3))
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f667,f632]) ).

fof(f1172,plain,
    ( spl0_73
    | spl0_74
    | ~ spl0_42
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f1171,f1165,f1168,f434,f60]) ).

fof(f1173,plain,
    ( $false
    | ~ spl0_42
    | spl0_41
    | ~ spl0_73 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1166,f755]) ).

fof(f1174,plain,
    ( ~ spl0_42
    | spl0_41
    | ~ spl0_73 ),
    inference(contradiction_clause,[status(thm)],[f1173]) ).

fof(f1181,plain,
    ( greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
    | growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
    | ~ spl0_42
    | ~ spl0_14 ),
    inference(resolution,[status(thm)],[f641,f27]) ).

fof(f1182,plain,
    ( spl0_66
    | spl0_63
    | ~ spl0_42
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f1181,f1083,f1072,f434,f124]) ).

fof(f1183,plain,
    ( $false
    | ~ spl0_42
    | spl0_11
    | ~ spl0_63 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1073,f979]) ).

fof(f1184,plain,
    ( ~ spl0_42
    | spl0_11
    | ~ spl0_63 ),
    inference(contradiction_clause,[status(thm)],[f1183]) ).

fof(f1185,plain,
    ( spl0_75
  <=> in_environment(sk3,equilibrium(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f1187,plain,
    ( ~ in_environment(sk3,equilibrium(sk3))
    | spl0_75 ),
    inference(component_clause,[status(thm)],[f1185]) ).

fof(f1188,plain,
    ( ~ in_environment(sk3,equilibrium(sk3))
    | ~ greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
    | ~ spl0_66 ),
    inference(resolution,[status(thm)],[f1084,f55]) ).

fof(f1189,plain,
    ( ~ spl0_75
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(split_clause,[status(thm)],[f1188,f1185,f1078,f1083]) ).

fof(f1192,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_1
    | spl0_75 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1187,f632]) ).

fof(f1193,plain,
    ( ~ spl0_42
    | ~ spl0_1
    | spl0_75 ),
    inference(contradiction_clause,[status(thm)],[f1192]) ).

fof(f1197,plain,
    ( ~ greater_or_equal(equilibrium(sk3),equilibrium(sk3))
    | ~ spl0_42
    | spl0_53 ),
    inference(forward_demodulation,[status(thm)],[f435,f864]) ).

fof(f1198,plain,
    ( $false
    | ~ spl0_42
    | spl0_53 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1197,f56]) ).

fof(f1199,plain,
    ( ~ spl0_42
    | spl0_53 ),
    inference(contradiction_clause,[status(thm)],[f1198]) ).

fof(f1209,plain,
    ( growth_rate(efficient_producers,equilibrium(sk3)) != zero
    | ~ spl0_72
    | spl0_63 ),
    inference(forward_demodulation,[status(thm)],[f1125,f1074]) ).

fof(f1210,plain,
    ( greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
    | ~ spl0_42
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f435,f120]) ).

fof(f1212,plain,
    ( growth_rate(efficient_producers,equilibrium(sk3)) = zero
    | ~ spl0_42
    | ~ spl0_54 ),
    inference(forward_demodulation,[status(thm)],[f435,f866]) ).

fof(f1213,plain,
    ( $false
    | ~ spl0_72
    | spl0_63
    | ~ spl0_42
    | ~ spl0_54 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1212,f1209]) ).

fof(f1214,plain,
    ( ~ spl0_72
    | spl0_63
    | ~ spl0_42
    | ~ spl0_54 ),
    inference(contradiction_clause,[status(thm)],[f1213]) ).

fof(f1215,plain,
    ( $false
    | ~ spl0_9
    | spl0_23
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[status(thm)],[f779,f759]) ).

fof(f1216,plain,
    ( ~ spl0_9
    | spl0_23
    | ~ spl0_48 ),
    inference(contradiction_clause,[status(thm)],[f1215]) ).

fof(f1220,plain,
    ( $false
    | ~ spl0_42
    | spl0_37
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f374,f974]) ).

fof(f1221,plain,
    ( ~ spl0_42
    | spl0_37
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f1220]) ).

fof(f1227,plain,
    ( greater_or_equal(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
    | ~ spl0_42
    | ~ spl0_13 ),
    inference(resolution,[status(thm)],[f1210,f28]) ).

fof(f1256,plain,
    ! [X0] :
      ( ~ greater(growth_rate(first_movers,sk2(sk3)),X0)
      | greater(growth_rate(efficient_producers,sk2(sk3)),X0)
      | ~ spl0_9
      | ~ spl0_28 ),
    inference(resolution,[status(thm)],[f585,f24]) ).

fof(f1259,plain,
    ( greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
    | zero = growth_rate(first_movers,sk4(equilibrium(sk3)))
    | ~ spl0_42
    | ~ spl0_13 ),
    inference(resolution,[status(thm)],[f1227,f27]) ).

fof(f1260,plain,
    ( spl0_65
    | spl0_68
    | ~ spl0_42
    | ~ spl0_13 ),
    inference(split_clause,[status(thm)],[f1259,f1078,f1095,f434,f119]) ).

fof(f1262,plain,
    ( $false
    | ~ spl0_42
    | spl0_14
    | ~ spl0_66 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1084,f937]) ).

fof(f1263,plain,
    ( ~ spl0_42
    | spl0_14
    | ~ spl0_66 ),
    inference(contradiction_clause,[status(thm)],[f1262]) ).

fof(f1274,plain,
    ( greater(zero,growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_22
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(resolution,[status(thm)],[f580,f585]) ).

fof(f1275,plain,
    ( spl0_48
    | ~ spl0_22
    | ~ spl0_9
    | ~ spl0_28 ),
    inference(split_clause,[status(thm)],[f1274,f778,f168,f103,f202]) ).

fof(f1287,plain,
    ! [X0] :
      ( ~ greater(growth_rate(efficient_producers,sk1(sk3)),X0)
      | greater(zero,X0)
      | ~ spl0_7
      | ~ spl0_12 ),
    inference(backward_demodulation,[status(thm)],[f96,f546]) ).

fof(f1292,plain,
    ( greater_or_equal(sk2(sk3),sk1(sk3))
    | ~ spl0_9
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f104,f200]) ).

fof(f1293,plain,
    ! [X0] :
      ( ~ greater(equilibrium(sk3),X0)
      | greater(sk2(sk3),X0)
      | ~ spl0_9
      | ~ spl0_38 ),
    inference(backward_demodulation,[status(thm)],[f104,f425]) ).

fof(f1310,plain,
    ( ~ greater(zero,zero)
    | ~ spl0_63
    | spl0_66 ),
    inference(backward_demodulation,[status(thm)],[f1073,f1085]) ).

fof(f1311,plain,
    ( greater(zero,zero)
    | ~ spl0_68
    | ~ spl0_65 ),
    inference(forward_demodulation,[status(thm)],[f1096,f1079]) ).

fof(f1312,plain,
    ( $false
    | ~ spl0_63
    | spl0_66
    | ~ spl0_68
    | ~ spl0_65 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1311,f1310]) ).

fof(f1313,plain,
    ( ~ spl0_63
    | spl0_66
    | ~ spl0_68
    | ~ spl0_65 ),
    inference(contradiction_clause,[status(thm)],[f1312]) ).

fof(f1314,plain,
    ( ~ greater(growth_rate(first_movers,sk1(sk3)),zero)
    | ~ spl0_7
    | spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f96,f131]) ).

fof(f1315,plain,
    ( $false
    | ~ spl0_57
    | ~ spl0_7
    | spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1314,f879]) ).

fof(f1316,plain,
    ( ~ spl0_57
    | ~ spl0_7
    | spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f1315]) ).

fof(f1322,plain,
    ( greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
    | ~ spl0_63
    | ~ spl0_70 ),
    inference(backward_demodulation,[status(thm)],[f1073,f1110]) ).

fof(f1323,plain,
    ( spl0_65
    | ~ spl0_63
    | ~ spl0_70 ),
    inference(split_clause,[status(thm)],[f1322,f1078,f1072,f1109]) ).

fof(f1324,plain,
    ( greater(zero,zero)
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(backward_demodulation,[status(thm)],[f1073,f1076]) ).

fof(f1326,plain,
    ( ~ greater(zero,zero)
    | ~ spl0_68
    | spl0_65 ),
    inference(forward_demodulation,[status(thm)],[f1096,f1080]) ).

fof(f1327,plain,
    ( $false
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_68
    | spl0_65 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1326,f1324]) ).

fof(f1328,plain,
    ( ~ spl0_63
    | ~ spl0_64
    | ~ spl0_68
    | spl0_65 ),
    inference(contradiction_clause,[status(thm)],[f1327]) ).

fof(f1360,plain,
    ( greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
    | ~ spl0_71 ),
    inference(resolution,[status(thm)],[f1122,f28]) ).

fof(f1361,plain,
    ( spl0_62
    | ~ spl0_71 ),
    inference(split_clause,[status(thm)],[f1360,f1069,f1121]) ).

fof(f1365,plain,
    ( greater(sk2(sk3),sk1(sk3))
    | sk2(sk3) = sk1(sk3)
    | ~ spl0_9
    | ~ spl0_27 ),
    inference(resolution,[status(thm)],[f1292,f27]) ).

fof(f1366,plain,
    ( spl0_29
    | spl0_30
    | ~ spl0_9
    | ~ spl0_27 ),
    inference(split_clause,[status(thm)],[f1365,f207,f210,f103,f199]) ).

fof(f1383,plain,
    ( greater(sk4(equilibrium(sk3)),equilibrium(sk3))
    | sk4(equilibrium(sk3)) = equilibrium(sk3)
    | ~ spl0_62 ),
    inference(resolution,[status(thm)],[f1070,f27]) ).

fof(f1384,plain,
    ( spl0_71
    | spl0_72
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f1383,f1121,f1124,f1069]) ).

fof(f1388,plain,
    ( greater(sk2(sk3),sk2(sk3))
    | ~ spl0_9
    | ~ spl0_38
    | ~ spl0_61 ),
    inference(resolution,[status(thm)],[f1293,f982]) ).

fof(f1389,plain,
    ( spl0_34
    | ~ spl0_9
    | ~ spl0_38
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f1388,f228,f103,f355,f981]) ).

fof(f1391,plain,
    ! [X0] :
      ( ~ greater(zero,X0)
      | greater(growth_rate(first_movers,sk4(equilibrium(sk3))),X0)
      | ~ spl0_67 ),
    inference(resolution,[status(thm)],[f1089,f24]) ).

fof(f1401,plain,
    ( greater(growth_rate(first_movers,sk2(sk3)),growth_rate(efficient_producers,sk2(sk3)))
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_47 ),
    inference(resolution,[status(thm)],[f579,f776]) ).

fof(f1406,plain,
    ( spl0_76
  <=> growth_rate(efficient_producers,sk2(sk3)) = growth_rate(first_movers,sk2(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f1407,plain,
    ( growth_rate(efficient_producers,sk2(sk3)) = growth_rate(first_movers,sk2(sk3))
    | ~ spl0_76 ),
    inference(component_clause,[status(thm)],[f1406]) ).

fof(f1412,plain,
    ( ~ greater(growth_rate(first_movers,sk2(sk3)),zero)
    | ~ spl0_76
    | spl0_45 ),
    inference(backward_demodulation,[status(thm)],[f1407,f726]) ).

fof(f1413,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_76
    | spl0_45 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1412,f786]) ).

fof(f1414,plain,
    ( ~ spl0_49
    | ~ spl0_76
    | spl0_45 ),
    inference(contradiction_clause,[status(thm)],[f1413]) ).

fof(f1421,plain,
    ( greater(zero,growth_rate(first_movers,sk1(sk3)))
    | ~ spl0_12
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(resolution,[status(thm)],[f1287,f695]) ).

fof(f1422,plain,
    ( spl0_56
    | ~ spl0_12
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(split_clause,[status(thm)],[f1421,f871,f116,f95,f153]) ).

fof(f1428,plain,
    ( spl0_77
  <=> growth_rate(efficient_producers,sk1(sk3)) = growth_rate(first_movers,sk1(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f1429,plain,
    ( growth_rate(efficient_producers,sk1(sk3)) = growth_rate(first_movers,sk1(sk3))
    | ~ spl0_77 ),
    inference(component_clause,[status(thm)],[f1428]) ).

fof(f1437,plain,
    ( greater(growth_rate(first_movers,sk1(sk3)),zero)
    | ~ spl0_77
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f1429,f836]) ).

fof(f1438,plain,
    ( spl0_57
    | ~ spl0_77
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f1437,f878,f1428,f95,f124]) ).

fof(f1453,plain,
    ( greater(growth_rate(first_movers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_67
    | ~ spl0_48 ),
    inference(resolution,[status(thm)],[f1391,f779]) ).

fof(f1461,plain,
    ( greater_or_equal(growth_rate(first_movers,sk2(sk3)),growth_rate(efficient_producers,sk2(sk3)))
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_47 ),
    inference(resolution,[status(thm)],[f1401,f28]) ).

fof(f1472,plain,
    ( spl0_78
  <=> greater(growth_rate(first_movers,sk2(sk3)),growth_rate(efficient_producers,sk2(sk3))) ),
    introduced(split_symbol_definition) ).

fof(f1473,plain,
    ( greater(growth_rate(first_movers,sk2(sk3)),growth_rate(efficient_producers,sk2(sk3)))
    | ~ spl0_78 ),
    inference(component_clause,[status(thm)],[f1472]) ).

fof(f1475,plain,
    ( greater(growth_rate(first_movers,sk2(sk3)),growth_rate(efficient_producers,sk2(sk3)))
    | growth_rate(first_movers,sk2(sk3)) = growth_rate(efficient_producers,sk2(sk3))
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_47 ),
    inference(resolution,[status(thm)],[f1461,f27]) ).

fof(f1476,plain,
    ( spl0_78
    | spl0_76
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_47 ),
    inference(split_clause,[status(thm)],[f1475,f1472,f1406,f103,f181,f775]) ).

fof(f1480,plain,
    ( spl0_80
  <=> growth_rate(first_movers,sk2(sk3)) = growth_rate(efficient_producers,sk1(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f1481,plain,
    ( growth_rate(first_movers,sk2(sk3)) = growth_rate(efficient_producers,sk1(sk3))
    | ~ spl0_80 ),
    inference(component_clause,[status(thm)],[f1480]) ).

fof(f1486,plain,
    ( ~ greater(growth_rate(first_movers,sk2(sk3)),zero)
    | ~ spl0_80
    | spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f1481,f323]) ).

fof(f1487,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_80
    | spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1486,f786]) ).

fof(f1488,plain,
    ( ~ spl0_49
    | ~ spl0_80
    | spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f1487]) ).

fof(f1557,plain,
    ( ~ in_environment(sk3,equilibrium(sk3))
    | ~ greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
    | ~ spl0_42
    | ~ spl0_14 ),
    inference(resolution,[status(thm)],[f642,f55]) ).

fof(f1558,plain,
    ( ~ spl0_75
    | ~ spl0_65
    | ~ spl0_42
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f1557,f1185,f1078,f434,f124]) ).

fof(f1561,plain,
    ( greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(resolution,[status(thm)],[f500,f779]) ).

fof(f1563,plain,
    ( greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(efficient_producers,sk2(sk3)))
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(resolution,[status(thm)],[f500,f776]) ).

fof(f1564,plain,
    ( greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
    | ~ spl0_19
    | ~ spl0_42
    | ~ spl0_12 ),
    inference(resolution,[status(thm)],[f637,f973]) ).

fof(f1565,plain,
    ( spl0_65
    | ~ spl0_19
    | ~ spl0_42
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f1564,f1078,f153,f434,f116]) ).

fof(f1575,plain,
    ( greater_or_equal(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(resolution,[status(thm)],[f1561,f28]) ).

fof(f1579,plain,
    ( spl0_82
  <=> greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,sk2(sk3))) ),
    introduced(split_symbol_definition) ).

fof(f1582,plain,
    ( spl0_83
  <=> growth_rate(efficient_producers,equilibrium(sk3)) = growth_rate(first_movers,sk2(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f1583,plain,
    ( growth_rate(efficient_producers,equilibrium(sk3)) = growth_rate(first_movers,sk2(sk3))
    | ~ spl0_83 ),
    inference(component_clause,[status(thm)],[f1582]) ).

fof(f1585,plain,
    ( greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,sk2(sk3)))
    | growth_rate(efficient_producers,equilibrium(sk3)) = growth_rate(first_movers,sk2(sk3))
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(resolution,[status(thm)],[f1575,f27]) ).

fof(f1586,plain,
    ( spl0_82
    | spl0_83
    | ~ spl0_40
    | ~ spl0_48 ),
    inference(split_clause,[status(thm)],[f1585,f1579,f1582,f373,f778]) ).

fof(f1587,plain,
    ( spl0_84
  <=> greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(efficient_producers,sk2(sk3))) ),
    introduced(split_symbol_definition) ).

fof(f1588,plain,
    ( greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(efficient_producers,sk2(sk3)))
    | ~ spl0_84 ),
    inference(component_clause,[status(thm)],[f1587]) ).

fof(f1590,plain,
    ( spl0_85
  <=> growth_rate(efficient_producers,equilibrium(sk3)) = growth_rate(efficient_producers,sk2(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f1591,plain,
    ( growth_rate(efficient_producers,equilibrium(sk3)) = growth_rate(efficient_producers,sk2(sk3))
    | ~ spl0_85 ),
    inference(component_clause,[status(thm)],[f1590]) ).

fof(f1596,plain,
    ( greater_or_equal(growth_rate(first_movers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_67
    | ~ spl0_48 ),
    inference(resolution,[status(thm)],[f1453,f28]) ).

fof(f1611,plain,
    ( spl0_86
  <=> greater(growth_rate(first_movers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk2(sk3))) ),
    introduced(split_symbol_definition) ).

fof(f1614,plain,
    ( spl0_87
  <=> growth_rate(first_movers,sk4(equilibrium(sk3))) = growth_rate(first_movers,sk2(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f1615,plain,
    ( growth_rate(first_movers,sk4(equilibrium(sk3))) = growth_rate(first_movers,sk2(sk3))
    | ~ spl0_87 ),
    inference(component_clause,[status(thm)],[f1614]) ).

fof(f1617,plain,
    ( greater(growth_rate(first_movers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk2(sk3)))
    | growth_rate(first_movers,sk4(equilibrium(sk3))) = growth_rate(first_movers,sk2(sk3))
    | ~ spl0_67
    | ~ spl0_48 ),
    inference(resolution,[status(thm)],[f1596,f27]) ).

fof(f1618,plain,
    ( spl0_86
    | spl0_87
    | ~ spl0_67
    | ~ spl0_48 ),
    inference(split_clause,[status(thm)],[f1617,f1611,f1614,f1088,f778]) ).

fof(f1623,plain,
    ( greater(growth_rate(efficient_producers,sk2(sk3)),zero)
    | ~ spl0_9
    | ~ spl0_28
    | ~ spl0_49 ),
    inference(resolution,[status(thm)],[f1256,f786]) ).

fof(f1624,plain,
    ( spl0_45
    | ~ spl0_9
    | ~ spl0_28
    | ~ spl0_49 ),
    inference(split_clause,[status(thm)],[f1623,f724,f103,f202,f785]) ).

fof(f1625,plain,
    ( greater(growth_rate(first_movers,sk2(sk3)),growth_rate(efficient_producers,sk2(sk3)))
    | ~ spl0_83
    | ~ spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f1583,f1588]) ).

fof(f1626,plain,
    ( greater(growth_rate(first_movers,sk2(sk3)),growth_rate(efficient_producers,equilibrium(sk3)))
    | ~ spl0_85
    | ~ spl0_83
    | ~ spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f1591,f1625]) ).

fof(f1627,plain,
    ( greater(growth_rate(first_movers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_85
    | ~ spl0_83
    | ~ spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f1583,f1626]) ).

fof(f1629,plain,
    ( ~ greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_9
    | spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f104,f204]) ).

fof(f1630,plain,
    ( ~ greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_85
    | ~ spl0_9
    | spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f1591,f1629]) ).

fof(f1631,plain,
    ( ~ greater(growth_rate(first_movers,sk2(sk3)),growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_83
    | ~ spl0_85
    | ~ spl0_9
    | spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f1583,f1630]) ).

fof(f1632,plain,
    ( ~ greater(growth_rate(first_movers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_83
    | ~ spl0_85
    | ~ spl0_9
    | spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f104,f1631]) ).

fof(f1633,plain,
    ( $false
    | ~ spl0_84
    | ~ spl0_83
    | ~ spl0_85
    | ~ spl0_9
    | spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1632,f1627]) ).

fof(f1634,plain,
    ( ~ spl0_84
    | ~ spl0_83
    | ~ spl0_85
    | ~ spl0_9
    | spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f1633]) ).

fof(f1657,plain,
    ( greater(growth_rate(first_movers,sk2(sk3)),zero)
    | ~ spl0_46
    | ~ spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f773,f1473]) ).

fof(f1658,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_78
    | spl0_49 ),
    inference(forward_subsumption_resolution,[status(thm)],[f787,f1657]) ).

fof(f1659,plain,
    ( ~ spl0_46
    | ~ spl0_78
    | spl0_49 ),
    inference(contradiction_clause,[status(thm)],[f1658]) ).

fof(f1662,plain,
    ( ~ greater(growth_rate(first_movers,sk2(sk3)),zero)
    | ~ spl0_9
    | spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f104,f183]) ).

fof(f1666,plain,
    ( greater(zero,growth_rate(first_movers,sk2(sk3)))
    | ~ spl0_87
    | ~ spl0_65 ),
    inference(backward_demodulation,[status(thm)],[f1615,f1079]) ).

fof(f1667,plain,
    ( spl0_48
    | ~ spl0_87
    | ~ spl0_65 ),
    inference(split_clause,[status(thm)],[f1666,f778,f1614,f1078]) ).

fof(f1676,plain,
    ( greater(growth_rate(efficient_producers,sk2(sk3)),zero)
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f104,f177]) ).

fof(f1677,plain,
    ( greater(zero,zero)
    | ~ spl0_46
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f773,f1676]) ).

fof(f1678,plain,
    ( $false
    | ~ spl0_26
    | spl0_23
    | ~ spl0_46
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1677,f262]) ).

fof(f1679,plain,
    ( ~ spl0_26
    | spl0_23
    | ~ spl0_46
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f1678]) ).

fof(f1680,plain,
    ( greater(zero,zero)
    | ~ spl0_46
    | ~ spl0_47 ),
    inference(forward_demodulation,[status(thm)],[f773,f776]) ).

fof(f1681,plain,
    ( $false
    | ~ spl0_26
    | spl0_23
    | ~ spl0_46
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1680,f262]) ).

fof(f1682,plain,
    ( ~ spl0_26
    | spl0_23
    | ~ spl0_46
    | ~ spl0_47 ),
    inference(contradiction_clause,[status(thm)],[f1681]) ).

fof(f1696,plain,
    ( spl0_36
    | ~ spl0_21
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f493,f245,f165,f168]) ).

fof(f1711,plain,
    ( ~ greater(zero,zero)
    | ~ spl0_9
    | ~ spl0_26
    | spl0_49 ),
    inference(forward_demodulation,[status(thm)],[f674,f787]) ).

fof(f1713,plain,
    ( ~ greater(growth_rate(efficient_producers,sk2(sk3)),zero)
    | ~ spl0_9
    | spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f104,f178]) ).

fof(f1714,plain,
    ( greater(zero,zero)
    | ~ spl0_26
    | ~ spl0_9
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f674,f581]) ).

fof(f1715,plain,
    ( $false
    | spl0_49
    | ~ spl0_26
    | ~ spl0_9
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1714,f1711]) ).

fof(f1716,plain,
    ( spl0_49
    | ~ spl0_26
    | ~ spl0_9
    | ~ spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f1715]) ).

fof(f1720,plain,
    ( ~ spl0_36
    | ~ spl0_26
    | spl0_23 ),
    inference(split_clause,[status(thm)],[f262,f245,f188,f171]) ).

fof(f1724,plain,
    ( greater(zero,zero)
    | ~ spl0_46
    | ~ spl0_45 ),
    inference(backward_demodulation,[status(thm)],[f773,f725]) ).

fof(f1725,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_26
    | spl0_49
    | ~ spl0_46
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1724,f1711]) ).

fof(f1726,plain,
    ( ~ spl0_9
    | ~ spl0_26
    | spl0_49
    | ~ spl0_46
    | ~ spl0_45 ),
    inference(contradiction_clause,[status(thm)],[f1725]) ).

fof(f1817,plain,
    ( spl0_84
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(split_clause,[status(thm)],[f1563,f1587,f373,f775]) ).

fof(f1826,plain,
    ( ~ spl0_36
    | ~ spl0_16
    | spl0_13 ),
    inference(split_clause,[status(thm)],[f523,f245,f136,f119]) ).

fof(f1834,plain,
    ( greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f114,f154]) ).

fof(f1835,plain,
    ( $false
    | spl0_13
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1834,f121]) ).

fof(f1836,plain,
    ( spl0_13
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f1835]) ).

fof(f1842,plain,
    ( ~ spl0_45
    | ~ spl0_9
    | spl0_24 ),
    inference(split_clause,[status(thm)],[f1713,f724,f103,f176]) ).

fof(f1844,plain,
    ( ~ spl0_49
    | ~ spl0_9
    | spl0_25 ),
    inference(split_clause,[status(thm)],[f1662,f785,f103,f181]) ).

fof(f1851,plain,
    ( greater(zero,zero)
    | ~ spl0_9
    | ~ spl0_26
    | ~ spl0_49 ),
    inference(backward_demodulation,[status(thm)],[f674,f786]) ).

fof(f1852,plain,
    ( spl0_36
    | ~ spl0_9
    | ~ spl0_26
    | ~ spl0_49 ),
    inference(split_clause,[status(thm)],[f1851,f245,f103,f188,f785]) ).

fof(f1915,plain,
    ( greater(sk4(sk1(sk3)),sk2(sk3))
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(resolution,[status(thm)],[f108,f214]) ).

fof(f1921,plain,
    ( greater_or_equal(sk4(sk1(sk3)),sk2(sk3))
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(resolution,[status(thm)],[f1915,f28]) ).

fof(f1923,plain,
    ( spl0_88
  <=> greater(sk4(sk1(sk3)),sk2(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f1924,plain,
    ( greater(sk4(sk1(sk3)),sk2(sk3))
    | ~ spl0_88 ),
    inference(component_clause,[status(thm)],[f1923]) ).

fof(f1926,plain,
    ( spl0_89
  <=> sk4(sk1(sk3)) = sk2(sk3) ),
    introduced(split_symbol_definition) ).

fof(f1927,plain,
    ( sk4(sk1(sk3)) = sk2(sk3)
    | ~ spl0_89 ),
    inference(component_clause,[status(thm)],[f1926]) ).

fof(f1929,plain,
    ( greater(sk4(sk1(sk3)),sk2(sk3))
    | sk4(sk1(sk3)) = sk2(sk3)
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(resolution,[status(thm)],[f1921,f27]) ).

fof(f1930,plain,
    ( spl0_88
    | spl0_89
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f1929,f1923,f1926,f92,f213]) ).

fof(f1932,plain,
    ( greater(sk2(sk3),sk2(sk3))
    | ~ spl0_89
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f1927,f1915]) ).

fof(f1933,plain,
    ( spl0_34
    | ~ spl0_89
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f1932,f228,f1926,f92,f213]) ).

fof(f2009,plain,
    ( greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(resolution,[status(thm)],[f546,f154]) ).

fof(f2010,plain,
    ( spl0_13
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(split_clause,[status(thm)],[f2009,f119,f116,f153]) ).

fof(f2056,plain,
    ( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(resolution,[status(thm)],[f556,f130]) ).

fof(f2057,plain,
    ( spl0_14
    | ~ spl0_19
    | ~ spl0_15 ),
    inference(split_clause,[status(thm)],[f2056,f124,f153,f129]) ).

fof(f2058,plain,
    ( greater(zero,zero)
    | ~ spl0_11
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f114,f227]) ).

fof(f2059,plain,
    ( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f137,f154]) ).

fof(f2060,plain,
    ( spl0_14
    | ~ spl0_16
    | ~ spl0_19 ),
    inference(split_clause,[status(thm)],[f2059,f124,f136,f153]) ).

fof(f2062,plain,
    ( ~ greater(zero,zero)
    | ~ spl0_16
    | spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f137,f131]) ).

fof(f2063,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_19
    | ~ spl0_16
    | spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2062,f2058]) ).

fof(f2064,plain,
    ( ~ spl0_11
    | ~ spl0_19
    | ~ spl0_16
    | spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f2063]) ).

fof(f2066,plain,
    ( spl0_41
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f284,f431,f210,f83]) ).

fof(f2081,plain,
    ( greater(sk1(sk3),sk2(sk3))
    | ~ spl0_7
    | ~ spl0_88 ),
    inference(backward_demodulation,[status(thm)],[f96,f1924]) ).

fof(f2082,plain,
    ( spl0_31
    | ~ spl0_7
    | ~ spl0_88 ),
    inference(split_clause,[status(thm)],[f2081,f213,f95,f1923]) ).

fof(f2134,plain,
    ( spl0_93
  <=> greater(sk4(sk2(sk3)),sk1(sk3)) ),
    introduced(split_symbol_definition) ).

fof(f2137,plain,
    ( spl0_94
  <=> sk4(sk2(sk3)) = sk1(sk3) ),
    introduced(split_symbol_definition) ).

fof(f2138,plain,
    ( sk4(sk2(sk3)) = sk1(sk3)
    | ~ spl0_94 ),
    inference(component_clause,[status(thm)],[f2137]) ).

fof(f2140,plain,
    ( greater(sk4(sk2(sk3)),sk1(sk3))
    | sk4(sk2(sk3)) = sk1(sk3)
    | ~ spl0_27 ),
    inference(resolution,[status(thm)],[f200,f27]) ).

fof(f2141,plain,
    ( spl0_93
    | spl0_94
    | ~ spl0_27 ),
    inference(split_clause,[status(thm)],[f2140,f2134,f2137,f199]) ).

fof(f2145,plain,
    ( greater(sk1(sk3),sk2(sk3))
    | ~ spl0_94
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f2138,f101]) ).

fof(f2146,plain,
    ( spl0_31
    | ~ spl0_94
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f2145,f213,f2137,f100]) ).

fof(f2216,plain,
    ( ~ in_environment(sk3,equilibrium(sk3))
    | ~ greater(zero,zero)
    | ~ greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
    | ~ spl0_63 ),
    inference(paramodulation,[status(thm)],[f1073,f55]) ).

fof(f2217,plain,
    ( ~ spl0_75
    | ~ spl0_36
    | ~ spl0_65
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f2216,f1185,f245,f1078,f1072]) ).

fof(f2250,plain,
    ! [X0] :
      ( ~ greater(growth_rate(first_movers,sk4(sk2(sk3))),X0)
      | greater(growth_rate(efficient_producers,sk4(sk2(sk3))),X0)
      | ~ spl0_28 ),
    inference(resolution,[status(thm)],[f203,f24]) ).

fof(f2303,plain,
    ( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
    | ~ spl0_28
    | ~ spl0_25 ),
    inference(resolution,[status(thm)],[f2250,f182]) ).

fof(f2304,plain,
    ( spl0_24
    | ~ spl0_28
    | ~ spl0_25 ),
    inference(split_clause,[status(thm)],[f2303,f176,f202,f181]) ).

fof(f2305,plain,
    ( greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(resolution,[status(thm)],[f488,f203]) ).

fof(f2306,plain,
    ( spl0_23
    | ~ spl0_22
    | ~ spl0_28 ),
    inference(split_clause,[status(thm)],[f2305,f171,f168,f202]) ).

fof(f2312,plain,
    ( greater(sk2(sk3),sk1(sk3))
    | ~ spl0_89
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f1927,f93]) ).

fof(f2313,plain,
    ( spl0_29
    | ~ spl0_89
    | ~ spl0_6 ),
    inference(split_clause,[status(thm)],[f2312,f207,f1926,f92]) ).

fof(f2323,plain,
    ( ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
    | ~ spl0_89
    | spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f1927,f112]) ).

fof(f2324,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_89
    | spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2323,f73]) ).

fof(f2325,plain,
    ( ~ spl0_3
    | ~ spl0_89
    | spl0_10 ),
    inference(contradiction_clause,[status(thm)],[f2324]) ).

fof(f2326,plain,
    ( spl0_53
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f291,f862,f86,f213]) ).

fof(f2327,plain,
    ( spl0_41
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f294,f431,f86,f213]) ).

fof(f2333,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f64,f66,f71,f76,f90,f99,f107,f123,f128,f133,f135,f140,f142,f146,f157,f159,f161,f175,f180,f185,f187,f192,f194,f196,f198,f206,f217,f225,f235,f249,f252,f270,f304,f325,f362,f377,f438,f447,f469,f475,f490,f496,f520,f525,f529,f560,f563,f565,f575,f578,f597,f608,f614,f622,f627,f630,f673,f676,f684,f687,f689,f728,f782,f784,f789,f791,f796,f800,f802,f810,f813,f815,f852,f875,f877,f903,f905,f907,f910,f921,f924,f927,f929,f959,f991,f992,f995,f997,f1087,f1094,f1101,f1105,f1113,f1116,f1118,f1120,f1128,f1172,f1174,f1182,f1184,f1189,f1193,f1199,f1214,f1216,f1221,f1260,f1263,f1275,f1313,f1316,f1323,f1328,f1361,f1366,f1384,f1389,f1414,f1422,f1438,f1476,f1488,f1558,f1565,f1586,f1618,f1624,f1634,f1659,f1667,f1679,f1682,f1696,f1716,f1720,f1726,f1817,f1826,f1836,f1842,f1844,f1852,f1930,f1933,f2010,f2057,f2060,f2064,f2066,f2082,f2141,f2146,f2217,f2304,f2306,f2313,f2325,f2326,f2327]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : MGT029-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 23:59:17 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.21/0.50  % Refutation found
% 0.21/0.50  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.50  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.51  % Elapsed time: 0.159317 seconds
% 0.21/0.51  % CPU time: 1.161522 seconds
% 0.21/0.51  % Total memory used: 64.938 MB
% 0.21/0.51  % Net memory used: 63.954 MB
%------------------------------------------------------------------------------