%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT029-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:25:20 PM UTC 2026
% Result : Unsatisfiable 0.15s 1.04s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 93
% Syntax : Number of formulae : 465 ( 10 unt; 71 def)
% Number of atoms : 1582 ( 119 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 1943 ( 826 ~;1046 |; 0 &)
% ( 71 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 79 ( 77 usr; 72 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 108 ( 108 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( greater(B,C)
| C = B
| greater(C,B)
| ~ in_environment(A,C)
| ~ in_environment(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] :
( greater_or_equal(A,B)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] :
( greater_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [A,B] :
( greater(growth_rate(efficient_producers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| growth_rate(first_movers,B) = zero
| ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
! [A,B] :
( greater(zero,growth_rate(first_movers,B))
| greater(growth_rate(first_movers,B),zero)
| growth_rate(first_movers,B) = zero
| ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
! [A,B] :
( greater(growth_rate(efficient_producers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(first_movers,B) = zero
| ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [A,B] :
( greater(zero,growth_rate(first_movers,B))
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(first_movers,B) = zero
| ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
! [A,B] :
( greater(growth_rate(efficient_producers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| growth_rate(efficient_producers,B) = zero
| ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
! [A,B] :
( greater(zero,growth_rate(first_movers,B))
| greater(growth_rate(first_movers,B),zero)
| growth_rate(efficient_producers,B) = zero
| ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
! [A,B] :
( greater(growth_rate(efficient_producers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(efficient_producers,B) = zero
| ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
! [A,B] :
( greater(zero,growth_rate(first_movers,B))
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(efficient_producers,B) = zero
| ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
! [A] :
( in_environment(A,sk1(A))
| ~ stable(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
! [A,B] :
( greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ greater_or_equal(B,sk1(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ stable(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
! [A] :
( in_environment(A,sk2(A))
| ~ stable(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
! [A] :
( greater_or_equal(sk2(A),equilibrium(A))
| ~ stable(A)
| ~ environment(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] :
( subpopulations(first_movers,efficient_producers,sk3,sk4(A))
| ~ in_environment(sk3,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [A] :
( greater_or_equal(sk4(A),A)
| ~ in_environment(sk3,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [A] :
( ~ greater(zero,growth_rate(first_movers,sk4(A)))
| ~ greater(growth_rate(efficient_producers,sk4(A)),zero)
| ~ in_environment(sk3,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,plain,
! [A,C] :
( greater(A,C)
| ! [B] :
( ~ greater(B,C)
| ~ greater(A,B) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f24,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [B,C] :
( greater(B,C)
| C = B
| greater(C,B)
| ! [A] :
( ~ in_environment(A,C)
| ~ in_environment(A,B) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f26,plain,
! [X0,X1,X2] :
( greater(X1,X2)
| X2 = X1
| greater(X2,X1)
| ~ in_environment(X0,X2)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f28,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f29,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f30,plain,
! [B] :
( greater(growth_rate(efficient_producers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| growth_rate(first_movers,B) = zero
| ! [A] :
( ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f31,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),zero)
| greater(growth_rate(first_movers,X1),zero)
| growth_rate(first_movers,X1) = zero
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
! [B] :
( greater(zero,growth_rate(first_movers,B))
| greater(growth_rate(first_movers,B),zero)
| growth_rate(first_movers,B) = zero
| ! [A] :
( ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f33,plain,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| growth_rate(first_movers,X1) = zero
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
! [B] :
( greater(growth_rate(efficient_producers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(first_movers,B) = zero
| ! [A] :
( ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f35,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(first_movers,X1) = zero
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [B] :
( greater(zero,growth_rate(first_movers,B))
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(first_movers,B) = zero
| ! [A] :
( ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f37,plain,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(first_movers,X1) = zero
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
! [B] :
( greater(growth_rate(efficient_producers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| growth_rate(efficient_producers,B) = zero
| ! [A] :
( ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f39,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),zero)
| greater(growth_rate(first_movers,X1),zero)
| growth_rate(efficient_producers,X1) = zero
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [B] :
( greater(zero,growth_rate(first_movers,B))
| greater(growth_rate(first_movers,B),zero)
| growth_rate(efficient_producers,B) = zero
| ! [A] :
( ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f41,plain,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| growth_rate(efficient_producers,X1) = zero
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,plain,
! [B] :
( greater(growth_rate(efficient_producers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(efficient_producers,B) = zero
| ! [A] :
( ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f43,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(efficient_producers,X1) = zero
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [B] :
( greater(zero,growth_rate(first_movers,B))
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(efficient_producers,B) = zero
| ! [A] :
( ~ greater_or_equal(B,equilibrium(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f45,plain,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(efficient_producers,X1) = zero
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f46,plain,
! [X0] :
( in_environment(X0,sk1(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f47,plain,
! [B] :
( greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ! [A] :
( ~ greater_or_equal(B,sk1(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ stable(A)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f48,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater_or_equal(X1,sk1(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [X0] :
( in_environment(X0,sk2(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f50,plain,
! [X0] :
( greater_or_equal(sk2(X0),equilibrium(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f51,plain,
environment(sk3),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f52,plain,
stable(sk3),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f53,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,sk3,sk4(X0))
| ~ in_environment(sk3,X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f54,plain,
! [X0] :
( greater_or_equal(sk4(X0),X0)
| ~ in_environment(sk3,X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f55,plain,
! [X0] :
( ~ greater(zero,growth_rate(first_movers,sk4(X0)))
| ~ greater(growth_rate(efficient_producers,sk4(X0)),zero)
| ~ in_environment(sk3,X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f56,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f29]) ).
fof(f58,plain,
( in_environment(sk3,sk1(sk3))
| ~ stable(sk3) ),
inference(resolution,[status(thm)],[f46,f51]) ).
fof(f59,definition,
( sQ0_spl
<=> stable(sk3) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f61,plain,
( sQ0_spl
| ~ stable(sk3) ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,definition,
( sQ1_spl
<=> in_environment(sk3,sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f63,plain,
( ~ sQ1_spl
| in_environment(sk3,sk1(sk3)) ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f65,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f58,f59,f62]) ).
fof(f66,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f61,f52]) ).
fof(f67,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f66]) ).
fof(f68,plain,
( in_environment(sk3,sk2(sk3))
| ~ stable(sk3) ),
inference(resolution,[status(thm)],[f49,f51]) ).
fof(f69,definition,
( sQ2_spl
<=> in_environment(sk3,sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f70,plain,
( ~ sQ2_spl
| in_environment(sk3,sk2(sk3)) ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f72,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f68,f59,f69]) ).
fof(f73,plain,
( ~ sQ1_spl
| subpopulations(first_movers,efficient_producers,sk3,sk4(sk1(sk3))) ),
inference(resolution,[status(thm)],[f63,f53]) ).
fof(f74,plain,
! [X0] :
( ~ sQ1_spl
| greater(X0,sk1(sk3))
| sk1(sk3) = X0
| greater(sk1(sk3),X0)
| ~ in_environment(sk3,X0) ),
inference(resolution,[status(thm)],[f63,f26]) ).
fof(f75,plain,
( ~ sQ2_spl
| subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3))) ),
inference(resolution,[status(thm)],[f70,f53]) ).
fof(f76,plain,
! [X0] :
( ~ sQ2_spl
| greater(X0,sk2(sk3))
| sk2(sk3) = X0
| greater(sk2(sk3),X0)
| ~ in_environment(sk3,X0) ),
inference(resolution,[status(thm)],[f70,f26]) ).
fof(f77,plain,
( ~ sQ2_spl
| greater_or_equal(sk4(sk2(sk3)),sk2(sk3)) ),
inference(resolution,[status(thm)],[f54,f70]) ).
fof(f78,plain,
( ~ sQ1_spl
| greater_or_equal(sk4(sk1(sk3)),sk1(sk3)) ),
inference(resolution,[status(thm)],[f54,f63]) ).
fof(f79,plain,
( ~ sQ1_spl
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f73,f41]) ).
fof(f81,plain,
( ~ sQ1_spl
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f73,f37]) ).
fof(f84,plain,
( ~ sQ1_spl
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f73,f31]) ).
fof(f85,definition,
( sQ3_spl
<=> environment(sk3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f87,plain,
( sQ3_spl
| ~ environment(sk3) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,definition,
( sQ4_spl
<=> greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( ~ sQ4_spl
| greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f90,plain,
( sQ4_spl
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,definition,
( sQ5_spl
<=> growth_rate(efficient_producers,sk4(sk1(sk3))) = zero ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( ~ sQ5_spl
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f93,plain,
( sQ5_spl
| growth_rate(efficient_producers,sk4(sk1(sk3))) != zero ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f94,definition,
( sQ6_spl
<=> greater(growth_rate(first_movers,sk4(sk1(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( ~ sQ6_spl
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero) ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f97,definition,
( sQ7_spl
<=> greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( sQ7_spl
| ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,plain,
( ~ sQ1_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f79,f85,f88,f91,f94,f97,f62]) ).
fof(f101,definition,
( sQ8_spl
<=> greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ8_spl
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f103,plain,
( sQ8_spl
| ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f105,definition,
( sQ9_spl
<=> growth_rate(first_movers,sk4(sk1(sk3))) = zero ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ9_spl
| growth_rate(first_movers,sk4(sk1(sk3))) = zero ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f107,plain,
( sQ9_spl
| growth_rate(first_movers,sk4(sk1(sk3))) != zero ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,definition,
( sQ10_spl
<=> greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ10_spl
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,plain,
( ~ sQ1_spl
| sQ7_spl
| sQ10_spl
| sQ9_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f81,f85,f88,f105,f108,f97,f62]) ).
fof(f114,plain,
( ~ sQ1_spl
| sQ8_spl
| sQ6_spl
| sQ9_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f84,f85,f88,f105,f94,f101,f62]) ).
fof(f115,plain,
( ~ sQ2_spl
| sk4(sk2(sk3)) = sk2(sk3)
| greater(sk4(sk2(sk3)),sk2(sk3)) ),
inference(resolution,[status(thm)],[f77,f27]) ).
fof(f116,definition,
( sQ11_spl
<=> greater(sk4(sk2(sk3)),sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( ~ sQ11_spl
| greater(sk4(sk2(sk3)),sk2(sk3)) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f118,plain,
( sQ11_spl
| ~ greater(sk4(sk2(sk3)),sk2(sk3)) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,definition,
( sQ12_spl
<=> sk4(sk2(sk3)) = sk2(sk3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( ~ sQ12_spl
| sk4(sk2(sk3)) = sk2(sk3) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,plain,
( ~ sQ2_spl
| sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f115,f116,f119,f69]) ).
fof(f123,plain,
( ~ sQ1_spl
| sk4(sk1(sk3)) = sk1(sk3)
| greater(sk4(sk1(sk3)),sk1(sk3)) ),
inference(resolution,[status(thm)],[f78,f27]) ).
fof(f124,definition,
( sQ13_spl
<=> greater(sk4(sk1(sk3)),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ13_spl
| greater(sk4(sk1(sk3)),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( sQ13_spl
| ~ greater(sk4(sk1(sk3)),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,definition,
( sQ14_spl
<=> sk4(sk1(sk3)) = sk1(sk3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ14_spl
| sk4(sk1(sk3)) = sk1(sk3) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( ~ sQ1_spl
| sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f123,f124,f127,f62]) ).
fof(f131,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| greater(sk2(sk3),sk1(sk3))
| sk1(sk3) = sk2(sk3)
| greater(sk1(sk3),sk2(sk3)) ),
inference(resolution,[status(thm)],[f74,f70]) ).
fof(f132,plain,
( ~ sQ1_spl
| greater(sk1(sk3),sk1(sk3))
| sk1(sk3) = sk1(sk3)
| greater(sk1(sk3),sk1(sk3)) ),
inference(resolution,[status(thm)],[f74,f63]) ).
fof(f133,definition,
( sQ15_spl
<=> greater(sk1(sk3),sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ15_spl
| greater(sk1(sk3),sk2(sk3)) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,definition,
( sQ16_spl
<=> sk1(sk3) = sk2(sk3) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ16_spl
| sk1(sk3) = sk2(sk3) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,definition,
( sQ17_spl
<=> greater(sk2(sk3),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ17_spl
| greater(sk2(sk3),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f131,f133,f136,f139,f62,f69]) ).
fof(f143,definition,
( sQ18_spl
<=> greater(sk1(sk3),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ18_spl
| greater(sk1(sk3),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ19_spl
<=> sk1(sk3) = sk1(sk3) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ1_spl
| sQ19_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f132,f143,f146,f62]) ).
fof(f150,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f87,f51]) ).
fof(f151,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f150]) ).
fof(f152,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f106,f95]) ).
fof(f156,plain,
( ~ sQ2_spl
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f75,f41]) ).
fof(f157,plain,
( ~ sQ2_spl
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f75,f39]) ).
fof(f158,plain,
( ~ sQ2_spl
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f75,f37]) ).
fof(f159,plain,
( ~ sQ2_spl
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f75,f35]) ).
fof(f160,plain,
( ~ sQ2_spl
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f75,f33]) ).
fof(f161,plain,
( ~ sQ2_spl
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f75,f31]) ).
fof(f162,definition,
( sQ20_spl
<=> greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( sQ20_spl
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,definition,
( sQ21_spl
<=> growth_rate(efficient_producers,sk4(sk2(sk3))) = zero ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ21_spl
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,definition,
( sQ22_spl
<=> greater(growth_rate(first_movers,sk4(sk2(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ22_spl
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,definition,
( sQ23_spl
<=> greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( sQ23_spl
| ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( ~ sQ2_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f156,f85,f162,f165,f168,f171,f69]) ).
fof(f175,definition,
( sQ24_spl
<=> greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ24_spl
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f177,plain,
( sQ24_spl
| ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,plain,
( ~ sQ2_spl
| sQ24_spl
| sQ22_spl
| sQ21_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f157,f85,f162,f165,f168,f175,f69]) ).
fof(f179,definition,
( sQ25_spl
<=> growth_rate(first_movers,sk4(sk2(sk3))) = zero ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ25_spl
| growth_rate(first_movers,sk4(sk2(sk3))) = zero ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f181,plain,
( sQ25_spl
| growth_rate(first_movers,sk4(sk2(sk3))) != zero ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,definition,
( sQ26_spl
<=> greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ26_spl
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( ~ sQ2_spl
| sQ23_spl
| sQ26_spl
| sQ25_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f158,f85,f162,f179,f182,f171,f69]) ).
fof(f186,plain,
( ~ sQ2_spl
| sQ24_spl
| sQ26_spl
| sQ25_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f159,f85,f162,f179,f182,f175,f69]) ).
fof(f187,plain,
( ~ sQ2_spl
| sQ23_spl
| sQ22_spl
| sQ25_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f160,f85,f162,f179,f168,f171,f69]) ).
fof(f188,plain,
( ~ sQ2_spl
| sQ24_spl
| sQ22_spl
| sQ25_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f161,f85,f162,f179,f168,f175,f69]) ).
fof(f189,plain,
( ~ sQ22_spl
| ~ sQ25_spl
| greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f180,f169]) ).
fof(f192,plain,
( ~ sQ24_spl
| ~ sQ21_spl
| greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f166,f176]) ).
fof(f193,plain,
( ~ sQ2_spl
| greater(sk2(sk3),sk2(sk3))
| sk2(sk3) = sk2(sk3)
| greater(sk2(sk3),sk2(sk3)) ),
inference(resolution,[status(thm)],[f76,f70]) ).
fof(f195,definition,
( sQ27_spl
<=> greater(sk2(sk3),sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ27_spl
| greater(sk2(sk3),sk2(sk3)) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,definition,
( sQ28_spl
<=> sk2(sk3) = sk2(sk3) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ2_spl
| sQ28_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f193,f195,f198,f69]) ).
fof(f207,plain,
! [X0] :
( ~ sQ17_spl
| greater(X0,sk1(sk3))
| ~ greater(X0,sk2(sk3)) ),
inference(resolution,[status(thm)],[f140,f24]) ).
fof(f208,plain,
( ~ sQ17_spl
| greater_or_equal(sk2(sk3),sk1(sk3)) ),
inference(resolution,[status(thm)],[f140,f28]) ).
fof(f209,plain,
( ~ sQ2_spl
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f43,f75]) ).
fof(f211,plain,
( ~ sQ2_spl
| sQ24_spl
| sQ26_spl
| sQ21_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f209,f85,f162,f165,f182,f175,f69]) ).
fof(f213,plain,
( ~ sQ2_spl
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f45,f75]) ).
fof(f215,plain,
( ~ sQ2_spl
| sQ23_spl
| sQ26_spl
| sQ21_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f213,f85,f162,f165,f182,f171,f69]) ).
fof(f217,plain,
( ~ sQ2_spl
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f48,f75]) ).
fof(f218,plain,
( ~ sQ1_spl
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3))))
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f48,f73]) ).
fof(f219,definition,
( sQ29_spl
<=> greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ29_spl
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f221,plain,
( sQ29_spl
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,definition,
( sQ30_spl
<=> greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ30_spl
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f224,plain,
( sQ30_spl
| ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( ~ sQ2_spl
| sQ30_spl
| ~ sQ29_spl
| ~ sQ0_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f217,f85,f59,f219,f222,f69]) ).
fof(f226,definition,
( sQ31_spl
<=> greater_or_equal(sk4(sk1(sk3)),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( sQ31_spl
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ32_spl
<=> greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ32_spl
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( ~ sQ1_spl
| sQ32_spl
| ~ sQ31_spl
| ~ sQ0_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f218,f85,f59,f226,f229,f62]) ).
fof(f233,plain,
( sQ31_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f228,f78]) ).
fof(f234,plain,
( sQ31_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f233]) ).
fof(f237,plain,
( ~ sQ30_spl
| ~ sQ21_spl
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(forward_demodulation,[status(thm)],[f166,f223]) ).
fof(f238,plain,
( ~ sQ30_spl
| ~ sQ21_spl
| ~ sQ25_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f180,f237]) ).
fof(f239,plain,
( greater_or_equal(sk2(sk3),equilibrium(sk3))
| ~ stable(sk3) ),
inference(resolution,[status(thm)],[f50,f51]) ).
fof(f240,definition,
( sQ33_spl
<=> greater_or_equal(sk2(sk3),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ33_spl
| greater_or_equal(sk2(sk3),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( sQ33_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f239,f59,f240]) ).
fof(f244,plain,
( ~ sQ33_spl
| sk2(sk3) = equilibrium(sk3)
| greater(sk2(sk3),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f241,f27]) ).
fof(f245,definition,
( sQ34_spl
<=> greater(sk2(sk3),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ34_spl
| greater(sk2(sk3),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,definition,
( sQ35_spl
<=> sk2(sk3) = equilibrium(sk3) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ35_spl
| sk2(sk3) = equilibrium(sk3) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( ~ sQ33_spl
| sQ35_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f244,f245,f248,f240]) ).
fof(f253,plain,
( sQ4_spl
| ~ sQ35_spl
| ~ greater_or_equal(sk4(sk1(sk3)),sk2(sk3)) ),
inference(backward_demodulation,[status(thm)],[f249,f90]) ).
fof(f255,plain,
( sQ20_spl
| ~ sQ35_spl
| ~ greater_or_equal(sk4(sk2(sk3)),sk2(sk3)) ),
inference(backward_demodulation,[status(thm)],[f249,f164]) ).
fof(f256,plain,
( sQ20_spl
| ~ sQ35_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f255,f77]) ).
fof(f257,plain,
( sQ20_spl
| ~ sQ35_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f256]) ).
fof(f262,plain,
! [X0] :
( ~ sQ34_spl
| greater(X0,equilibrium(sk3))
| ~ greater(X0,sk2(sk3)) ),
inference(resolution,[status(thm)],[f246,f24]) ).
fof(f268,plain,
! [X0] :
( ~ sQ13_spl
| greater(X0,sk1(sk3))
| ~ greater(X0,sk4(sk1(sk3))) ),
inference(resolution,[status(thm)],[f125,f24]) ).
fof(f270,plain,
( ~ sQ5_spl
| ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ greater(zero,zero)
| ~ in_environment(sk3,sk1(sk3)) ),
inference(paramodulation,[status(thm)],[f92,f55]) ).
fof(f271,definition,
( sQ36_spl
<=> greater(zero,zero) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( sQ36_spl
| ~ greater(zero,zero) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ36_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f270,f62,f271,f97,f91]) ).
fof(f275,plain,
( ~ sQ32_spl
| ~ sQ9_spl
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference(forward_demodulation,[status(thm)],[f106,f230]) ).
fof(f276,plain,
( ~ sQ30_spl
| ~ sQ21_spl
| ~ sQ25_spl
| sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f238,f273]) ).
fof(f277,plain,
( ~ sQ30_spl
| ~ sQ21_spl
| ~ sQ25_spl
| sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f276]) ).
fof(f290,plain,
( sQ4_spl
| ~ sQ16_spl
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(backward_demodulation,[status(thm)],[f137,f90]) ).
fof(f291,plain,
( sQ29_spl
| ~ sQ16_spl
| ~ greater_or_equal(sk4(sk2(sk3)),sk2(sk3)) ),
inference(backward_demodulation,[status(thm)],[f137,f221]) ).
fof(f294,plain,
( ~ sQ14_spl
| ~ sQ16_spl
| sk4(sk2(sk3)) = sk1(sk3) ),
inference(forward_demodulation,[status(thm)],[f137,f128]) ).
fof(f302,plain,
( ~ sQ14_spl
| ~ sQ16_spl
| sk4(sk2(sk3)) = sk2(sk3) ),
inference(forward_demodulation,[status(thm)],[f137,f294]) ).
fof(f303,plain,
( sQ7_spl
| ~ sQ9_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f106,f99]) ).
fof(f304,plain,
( sQ7_spl
| ~ sQ9_spl
| ~ sQ24_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f303,f192]) ).
fof(f305,plain,
( sQ7_spl
| ~ sQ9_spl
| ~ sQ24_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f304]) ).
fof(f318,plain,
( sQ4_spl
| ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f290,f162,f136,f88]) ).
fof(f319,plain,
( sQ29_spl
| ~ sQ16_spl
| ~ sQ14_spl
| ~ greater_or_equal(sk2(sk3),sk2(sk3)) ),
inference(forward_demodulation,[status(thm)],[f302,f291]) ).
fof(f320,plain,
( sQ29_spl
| ~ sQ16_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f319,f56]) ).
fof(f321,plain,
( sQ29_spl
| ~ sQ16_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f320]) ).
fof(f327,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)) ),
inference(backward_demodulation,[status(thm)],[f120,f75]) ).
fof(f329,plain,
( sQ29_spl
| ~ sQ12_spl
| ~ greater_or_equal(sk2(sk3),sk1(sk3)) ),
inference(backward_demodulation,[status(thm)],[f120,f221]) ).
fof(f330,plain,
( sQ29_spl
| ~ sQ12_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f329,f208]) ).
fof(f331,plain,
( sQ29_spl
| ~ sQ12_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f330]) ).
fof(f386,plain,
( ~ sQ34_spl
| ~ sQ15_spl
| greater(sk1(sk3),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f134,f262]) ).
fof(f388,plain,
( ~ sQ15_spl
| greater_or_equal(sk1(sk3),sk2(sk3)) ),
inference(resolution,[status(thm)],[f134,f28]) ).
fof(f392,plain,
( ~ sQ34_spl
| ~ sQ15_spl
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f386,f28]) ).
fof(f395,plain,
( ~ sQ32_spl
| ~ sQ9_spl
| ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ in_environment(sk3,sk1(sk3)) ),
inference(resolution,[status(thm)],[f275,f55]) ).
fof(f398,plain,
( ~ sQ32_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f395,f62,f97,f105,f229]) ).
fof(f403,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(forward_demodulation,[status(thm)],[f92,f230]) ).
fof(f404,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f403,f99]) ).
fof(f405,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f404]) ).
fof(f407,definition,
( sQ37_spl
<=> greater(sk4(sk2(sk3)),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ37_spl
| greater(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f409,plain,
( sQ37_spl
| ~ greater(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f428,plain,
( ~ sQ34_spl
| ~ sQ15_spl
| sk1(sk3) = equilibrium(sk3)
| greater(sk1(sk3),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f392,f27]) ).
fof(f429,definition,
( sQ39_spl
<=> greater(sk1(sk3),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( ~ sQ39_spl
| greater(sk1(sk3),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f431,plain,
( sQ39_spl
| ~ greater(sk1(sk3),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,definition,
( sQ40_spl
<=> sk1(sk3) = equilibrium(sk3) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( ~ sQ40_spl
| sk1(sk3) = equilibrium(sk3) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( ~ sQ34_spl
| ~ sQ15_spl
| sQ40_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f428,f429,f432,f133,f245]) ).
fof(f437,plain,
( sQ4_spl
| ~ sQ40_spl
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3)) ),
inference(backward_demodulation,[status(thm)],[f433,f90]) ).
fof(f440,plain,
( ~ sQ34_spl
| ~ sQ40_spl
| greater(sk2(sk3),sk1(sk3)) ),
inference(backward_demodulation,[status(thm)],[f433,f246]) ).
fof(f455,plain,
( sQ4_spl
| ~ sQ40_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f437,f226,f432,f88]) ).
fof(f456,plain,
( ~ sQ34_spl
| ~ sQ40_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f440,f139,f432,f245]) ).
fof(f483,plain,
! [X0] :
( ~ sQ6_spl
| greater(X0,zero)
| ~ greater(X0,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(resolution,[status(thm)],[f95,f24]) ).
fof(f489,plain,
! [X0] :
( ~ sQ32_spl
| greater(X0,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ greater(X0,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
inference(resolution,[status(thm)],[f230,f24]) ).
fof(f493,plain,
( ~ sQ8_spl
| ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ in_environment(sk3,sk1(sk3)) ),
inference(resolution,[status(thm)],[f102,f55]) ).
fof(f495,plain,
( ~ sQ8_spl
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[f102,f28]) ).
fof(f496,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f493,f62,f97,f101]) ).
fof(f498,plain,
! [X0] :
( ~ sQ39_spl
| greater(X0,equilibrium(sk3))
| ~ greater(X0,sk1(sk3)) ),
inference(resolution,[status(thm)],[f430,f24]) ).
fof(f499,plain,
( ~ sQ39_spl
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f430,f28]) ).
fof(f504,plain,
( ~ sQ24_spl
| ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ in_environment(sk3,sk2(sk3)) ),
inference(resolution,[status(thm)],[f176,f55]) ).
fof(f507,plain,
( ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f504,f69,f171,f175]) ).
fof(f508,plain,
( sQ23_spl
| ~ sQ25_spl
| ~ greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f180,f173]) ).
fof(f510,plain,
( sQ23_spl
| ~ sQ25_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f508,f189]) ).
fof(f511,plain,
( sQ23_spl
| ~ sQ25_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f510]) ).
fof(f513,plain,
( ~ sQ26_spl
| greater_or_equal(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
inference(resolution,[status(thm)],[f183,f28]) ).
fof(f514,plain,
( ~ sQ34_spl
| ~ sQ11_spl
| greater(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f117,f262]) ).
fof(f518,plain,
( ~ sQ37_spl
| greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f408,f28]) ).
fof(f519,plain,
! [X0] :
( ~ sQ22_spl
| greater(X0,zero)
| ~ greater(X0,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(resolution,[status(thm)],[f169,f24]) ).
fof(f520,plain,
( ~ sQ22_spl
| greater_or_equal(growth_rate(first_movers,sk4(sk2(sk3))),zero) ),
inference(resolution,[status(thm)],[f169,f28]) ).
fof(f523,plain,
( ~ sQ11_spl
| ~ sQ17_spl
| greater(sk4(sk2(sk3)),sk1(sk3)) ),
inference(resolution,[status(thm)],[f207,f117]) ).
fof(f529,plain,
( ~ sQ32_spl
| ~ sQ6_spl
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[f483,f230]) ).
fof(f531,plain,
( ~ sQ11_spl
| ~ sQ17_spl
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(resolution,[status(thm)],[f523,f28]) ).
fof(f532,plain,
( ~ sQ11_spl
| ~ sQ17_spl
| sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f531,f221]) ).
fof(f533,plain,
( ~ sQ11_spl
| ~ sQ17_spl
| sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f532]) ).
fof(f537,plain,
( sQ7_spl
| ~ sQ9_spl
| ~ greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f106,f99]) ).
fof(f542,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f152,f303]) ).
fof(f543,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f542]) ).
fof(f544,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f166,f183]) ).
fof(f552,plain,
( ~ sQ30_spl
| ~ sQ21_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f237,f171,f165,f222]) ).
fof(f559,plain,
( ~ sQ30_spl
| ~ sQ25_spl
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(forward_demodulation,[status(thm)],[f180,f223]) ).
fof(f560,plain,
( ~ sQ30_spl
| ~ sQ25_spl
| sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f559,f177]) ).
fof(f561,plain,
( ~ sQ30_spl
| ~ sQ25_spl
| sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f560]) ).
fof(f562,plain,
( ~ sQ37_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f518,f162,f407]) ).
fof(f573,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| sQ7_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f544,f537]) ).
fof(f574,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| sQ7_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f573]) ).
fof(f575,plain,
( ~ sQ34_spl
| ~ sQ11_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f514,f407,f116,f245]) ).
fof(f585,definition,
( sQ42_spl
<=> sk4(sk2(sk3)) = sk1(sk3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( ~ sQ42_spl
| sk4(sk2(sk3)) = sk1(sk3) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f593,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk3)) ),
inference(backward_demodulation,[status(thm)],[f586,f75]) ).
fof(f598,plain,
( sQ24_spl
| ~ sQ42_spl
| ~ greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference(backward_demodulation,[status(thm)],[f586,f177]) ).
fof(f603,plain,
( sQ25_spl
| ~ sQ42_spl
| growth_rate(first_movers,sk1(sk3)) != zero ),
inference(backward_demodulation,[status(thm)],[f586,f181]) ).
fof(f610,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| greater(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3)))
| ~ greater_or_equal(sk1(sk3),sk1(sk3))
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f593,f48]) ).
fof(f612,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| greater(growth_rate(efficient_producers,sk1(sk3)),zero)
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f593,f43]) ).
fof(f614,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| greater(growth_rate(efficient_producers,sk1(sk3)),zero)
| greater(growth_rate(first_movers,sk1(sk3)),zero)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f593,f39]) ).
fof(f615,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| greater(zero,growth_rate(first_movers,sk1(sk3)))
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| growth_rate(first_movers,sk1(sk3)) = zero
| ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f593,f37]) ).
fof(f616,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| greater(growth_rate(efficient_producers,sk1(sk3)),zero)
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| growth_rate(first_movers,sk1(sk3)) = zero
| ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f593,f35]) ).
fof(f617,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| greater(zero,growth_rate(first_movers,sk1(sk3)))
| greater(growth_rate(first_movers,sk1(sk3)),zero)
| growth_rate(first_movers,sk1(sk3)) = zero
| ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f593,f33]) ).
fof(f618,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| greater(growth_rate(efficient_producers,sk1(sk3)),zero)
| greater(growth_rate(first_movers,sk1(sk3)),zero)
| growth_rate(first_movers,sk1(sk3)) = zero
| ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f593,f31]) ).
fof(f619,definition,
( sQ43_spl
<=> greater_or_equal(sk1(sk3),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( sQ43_spl
| ~ greater_or_equal(sk1(sk3),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,definition,
( sQ44_spl
<=> greater(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| sQ44_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f610,f85,f59,f619,f622,f585,f69]) ).
fof(f626,definition,
( sQ45_spl
<=> greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( sQ45_spl
| ~ greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,definition,
( sQ46_spl
<=> growth_rate(efficient_producers,sk1(sk3)) = zero ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f632,definition,
( sQ47_spl
<=> greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f635,definition,
( sQ48_spl
<=> greater(zero,growth_rate(first_movers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f639,definition,
( sQ49_spl
<=> greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( ~ sQ49_spl
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| sQ49_spl
| sQ47_spl
| sQ46_spl
| ~ sQ45_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f612,f85,f626,f629,f632,f639,f585,f69]) ).
fof(f643,definition,
( sQ50_spl
<=> greater(growth_rate(first_movers,sk1(sk3)),zero) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f647,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| sQ49_spl
| sQ50_spl
| sQ46_spl
| ~ sQ45_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f614,f85,f626,f629,f643,f639,f585,f69]) ).
fof(f648,definition,
( sQ51_spl
<=> growth_rate(first_movers,sk1(sk3)) = zero ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( ~ sQ51_spl
| growth_rate(first_movers,sk1(sk3)) = zero ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| sQ48_spl
| sQ47_spl
| sQ51_spl
| ~ sQ45_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f615,f85,f626,f648,f632,f635,f585,f69]) ).
fof(f652,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| sQ49_spl
| sQ47_spl
| sQ51_spl
| ~ sQ45_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f616,f85,f626,f648,f632,f639,f585,f69]) ).
fof(f653,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| sQ48_spl
| sQ50_spl
| sQ51_spl
| ~ sQ45_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f617,f85,f626,f648,f643,f635,f585,f69]) ).
fof(f654,plain,
( ~ sQ2_spl
| ~ sQ42_spl
| sQ49_spl
| sQ50_spl
| sQ51_spl
| ~ sQ45_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f618,f85,f626,f648,f643,f639,f585,f69]) ).
fof(f655,plain,
( sQ45_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f628,f499]) ).
fof(f656,plain,
( sQ45_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f655]) ).
fof(f657,plain,
( ~ sQ49_spl
| sQ24_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f640,f598]) ).
fof(f658,plain,
( ~ sQ49_spl
| sQ24_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f657]) ).
fof(f662,plain,
( sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f621,f56]) ).
fof(f663,plain,
sQ43_spl,
inference(contradiction_clause,[status(thm)],[f662]) ).
fof(f692,plain,
( ~ sQ4_spl
| sk4(sk1(sk3)) = equilibrium(sk3)
| greater(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f89,f27]) ).
fof(f693,definition,
( sQ52_spl
<=> greater(sk4(sk1(sk3)),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f696,definition,
( sQ53_spl
<=> sk4(sk1(sk3)) = equilibrium(sk3) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( ~ sQ53_spl
| sk4(sk1(sk3)) = equilibrium(sk3) ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,plain,
( ~ sQ4_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f692,f693,f696,f88]) ).
fof(f701,plain,
( sQ9_spl
| ~ sQ53_spl
| growth_rate(first_movers,equilibrium(sk3)) != zero ),
inference(backward_demodulation,[status(thm)],[f697,f107]) ).
fof(f703,plain,
( sQ7_spl
| ~ sQ53_spl
| ~ greater(zero,growth_rate(first_movers,equilibrium(sk3))) ),
inference(backward_demodulation,[status(thm)],[f697,f99]) ).
fof(f705,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ53_spl
| greater(X0,sk1(sk3))
| ~ greater(X0,equilibrium(sk3)) ),
inference(backward_demodulation,[status(thm)],[f697,f268]) ).
fof(f707,plain,
( sQ5_spl
| ~ sQ53_spl
| growth_rate(efficient_producers,equilibrium(sk3)) != zero ),
inference(backward_demodulation,[status(thm)],[f697,f93]) ).
fof(f711,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| subpopulations(first_movers,efficient_producers,sk3,equilibrium(sk3)) ),
inference(backward_demodulation,[status(thm)],[f697,f73]) ).
fof(f712,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| greater_or_equal(equilibrium(sk3),sk1(sk3)) ),
inference(backward_demodulation,[status(thm)],[f697,f78]) ).
fof(f722,plain,
( ~ sQ8_spl
| ~ sQ53_spl
| greater_or_equal(growth_rate(efficient_producers,equilibrium(sk3)),zero) ),
inference(backward_demodulation,[status(thm)],[f697,f495]) ).
fof(f730,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,equilibrium(sk3)))
| ~ greater_or_equal(equilibrium(sk3),sk1(sk3))
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f711,f48]) ).
fof(f731,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| greater(zero,growth_rate(first_movers,equilibrium(sk3)))
| greater(zero,growth_rate(efficient_producers,equilibrium(sk3)))
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| ~ greater_or_equal(equilibrium(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f711,f45]) ).
fof(f733,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| greater(zero,growth_rate(first_movers,equilibrium(sk3)))
| greater(growth_rate(first_movers,equilibrium(sk3)),zero)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| ~ greater_or_equal(equilibrium(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f711,f41]) ).
fof(f735,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| greater(zero,growth_rate(first_movers,equilibrium(sk3)))
| greater(zero,growth_rate(efficient_producers,equilibrium(sk3)))
| growth_rate(first_movers,equilibrium(sk3)) = zero
| ~ greater_or_equal(equilibrium(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f711,f37]) ).
fof(f736,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| greater(growth_rate(efficient_producers,equilibrium(sk3)),zero)
| greater(zero,growth_rate(efficient_producers,equilibrium(sk3)))
| growth_rate(first_movers,equilibrium(sk3)) = zero
| ~ greater_or_equal(equilibrium(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f711,f35]) ).
fof(f738,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| greater(growth_rate(efficient_producers,equilibrium(sk3)),zero)
| greater(growth_rate(first_movers,equilibrium(sk3)),zero)
| growth_rate(first_movers,equilibrium(sk3)) = zero
| ~ greater_or_equal(equilibrium(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f711,f31]) ).
fof(f739,definition,
( sQ54_spl
<=> greater_or_equal(equilibrium(sk3),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( sQ54_spl
| ~ greater_or_equal(equilibrium(sk3),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,definition,
( sQ55_spl
<=> greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,equilibrium(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| sQ55_spl
| ~ sQ54_spl
| ~ sQ0_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f730,f85,f59,f739,f742,f696,f62]) ).
fof(f746,definition,
( sQ56_spl
<=> greater_or_equal(equilibrium(sk3),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( sQ56_spl
| ~ greater_or_equal(equilibrium(sk3),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,definition,
( sQ57_spl
<=> growth_rate(efficient_producers,equilibrium(sk3)) = zero ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( ~ sQ57_spl
| growth_rate(efficient_producers,equilibrium(sk3)) = zero ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,definition,
( sQ58_spl
<=> greater(zero,growth_rate(efficient_producers,equilibrium(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f753,plain,
( ~ sQ58_spl
| greater(zero,growth_rate(efficient_producers,equilibrium(sk3))) ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,definition,
( sQ59_spl
<=> greater(zero,growth_rate(first_movers,equilibrium(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f756,plain,
( ~ sQ59_spl
| greater(zero,growth_rate(first_movers,equilibrium(sk3))) ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| sQ59_spl
| sQ58_spl
| sQ57_spl
| ~ sQ56_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f731,f85,f746,f749,f752,f755,f696,f62]) ).
fof(f759,definition,
( sQ60_spl
<=> greater(growth_rate(efficient_producers,equilibrium(sk3)),zero) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f760,plain,
( ~ sQ60_spl
| greater(growth_rate(efficient_producers,equilibrium(sk3)),zero) ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f763,definition,
( sQ61_spl
<=> greater(growth_rate(first_movers,equilibrium(sk3)),zero) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| sQ59_spl
| sQ61_spl
| sQ57_spl
| ~ sQ56_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f733,f85,f746,f749,f763,f755,f696,f62]) ).
fof(f768,definition,
( sQ62_spl
<=> growth_rate(first_movers,equilibrium(sk3)) = zero ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ62_spl
| growth_rate(first_movers,equilibrium(sk3)) = zero ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| sQ59_spl
| sQ58_spl
| sQ62_spl
| ~ sQ56_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f735,f85,f746,f768,f752,f755,f696,f62]) ).
fof(f772,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| sQ60_spl
| sQ58_spl
| sQ62_spl
| ~ sQ56_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f736,f85,f746,f768,f752,f759,f696,f62]) ).
fof(f774,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| sQ60_spl
| sQ61_spl
| sQ62_spl
| ~ sQ56_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f738,f85,f746,f768,f763,f759,f696,f62]) ).
fof(f775,plain,
( sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f748,f56]) ).
fof(f776,plain,
sQ56_spl,
inference(contradiction_clause,[status(thm)],[f775]) ).
fof(f777,plain,
( ~ sQ62_spl
| sQ9_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f769,f701]) ).
fof(f778,plain,
( ~ sQ62_spl
| sQ9_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f777]) ).
fof(f779,plain,
( ~ sQ59_spl
| sQ7_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f756,f703]) ).
fof(f780,plain,
( ~ sQ59_spl
| sQ7_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f779]) ).
fof(f781,plain,
( ~ sQ57_spl
| sQ5_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f750,f707]) ).
fof(f782,plain,
( ~ sQ57_spl
| sQ5_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f781]) ).
fof(f783,plain,
( sQ54_spl
| ~ sQ1_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f741,f712]) ).
fof(f784,plain,
( sQ54_spl
| ~ sQ1_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f783]) ).
fof(f786,plain,
( ~ sQ32_spl
| ~ sQ6_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f529,f101,f94,f229]) ).
fof(f787,plain,
( sQ8_spl
| ~ sQ53_spl
| ~ greater(growth_rate(efficient_producers,equilibrium(sk3)),zero) ),
inference(forward_demodulation,[status(thm)],[f697,f103]) ).
fof(f788,plain,
( sQ8_spl
| ~ sQ53_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f787,f760]) ).
fof(f789,plain,
( sQ8_spl
| ~ sQ53_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f788]) ).
fof(f790,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| equilibrium(sk3) = sk1(sk3)
| greater(equilibrium(sk3),sk1(sk3)) ),
inference(resolution,[status(thm)],[f712,f27]) ).
fof(f791,definition,
( sQ63_spl
<=> greater(equilibrium(sk3),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( ~ sQ63_spl
| greater(equilibrium(sk3),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| sQ40_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f790,f791,f432,f696,f62]) ).
fof(f802,plain,
( sQ11_spl
| ~ sQ12_spl
| ~ greater(sk2(sk3),sk2(sk3)) ),
inference(backward_demodulation,[status(thm)],[f120,f118]) ).
fof(f803,plain,
( sQ37_spl
| ~ sQ12_spl
| ~ greater(sk2(sk3),equilibrium(sk3)) ),
inference(backward_demodulation,[status(thm)],[f120,f409]) ).
fof(f809,plain,
( ~ sQ22_spl
| ~ sQ12_spl
| greater_or_equal(growth_rate(first_movers,sk2(sk3)),zero) ),
inference(backward_demodulation,[status(thm)],[f120,f520]) ).
fof(f811,plain,
( sQ25_spl
| ~ sQ12_spl
| growth_rate(first_movers,sk2(sk3)) != zero ),
inference(backward_demodulation,[status(thm)],[f120,f181]) ).
fof(f818,plain,
( ~ sQ29_spl
| ~ sQ12_spl
| greater_or_equal(sk2(sk3),sk1(sk3)) ),
inference(backward_demodulation,[status(thm)],[f120,f220]) ).
fof(f820,plain,
( sQ11_spl
| ~ sQ12_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f802,f196]) ).
fof(f821,plain,
( sQ11_spl
| ~ sQ12_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f820]) ).
fof(f822,plain,
( sQ37_spl
| ~ sQ12_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f803,f246]) ).
fof(f823,plain,
( sQ37_spl
| ~ sQ12_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f822]) ).
fof(f848,plain,
( ~ sQ12_spl
| ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| ~ in_environment(sk3,sk2(sk3)) ),
inference(paramodulation,[status(thm)],[f120,f55]) ).
fof(f849,definition,
( sQ64_spl
<=> greater(growth_rate(efficient_producers,sk2(sk3)),zero) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( ~ sQ12_spl
| ~ sQ23_spl
| ~ sQ64_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f848,f69,f849,f171,f119]) ).
fof(f853,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| ~ greater_or_equal(sk2(sk3),sk1(sk3))
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f327,f48]) ).
fof(f855,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| greater(zero,growth_rate(efficient_producers,sk2(sk3)))
| growth_rate(efficient_producers,sk2(sk3)) = zero
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f327,f43]) ).
fof(f857,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| greater(growth_rate(first_movers,sk2(sk3)),zero)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f327,f39]) ).
fof(f858,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| greater(zero,growth_rate(first_movers,sk2(sk3)))
| greater(zero,growth_rate(efficient_producers,sk2(sk3)))
| growth_rate(first_movers,sk2(sk3)) = zero
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f327,f37]) ).
fof(f859,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| greater(zero,growth_rate(efficient_producers,sk2(sk3)))
| growth_rate(first_movers,sk2(sk3)) = zero
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f327,f35]) ).
fof(f861,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| greater(growth_rate(first_movers,sk2(sk3)),zero)
| growth_rate(first_movers,sk2(sk3)) = zero
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f327,f31]) ).
fof(f862,definition,
( sQ65_spl
<=> greater_or_equal(sk2(sk3),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f864,plain,
( sQ65_spl
| ~ greater_or_equal(sk2(sk3),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,definition,
( sQ66_spl
<=> greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f866,plain,
( ~ sQ66_spl
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sQ66_spl
| ~ sQ65_spl
| ~ sQ0_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f853,f85,f59,f862,f865,f119,f69]) ).
fof(f869,definition,
( sQ67_spl
<=> growth_rate(efficient_producers,sk2(sk3)) = zero ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f872,definition,
( sQ68_spl
<=> greater(zero,growth_rate(efficient_producers,sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f875,definition,
( sQ69_spl
<=> greater(zero,growth_rate(first_movers,sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f879,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sQ64_spl
| sQ68_spl
| sQ67_spl
| ~ sQ33_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f855,f85,f240,f869,f872,f849,f119,f69]) ).
fof(f880,definition,
( sQ70_spl
<=> greater(growth_rate(first_movers,sk2(sk3)),zero) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f884,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sQ64_spl
| sQ70_spl
| sQ67_spl
| ~ sQ33_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f857,f85,f240,f869,f880,f849,f119,f69]) ).
fof(f885,definition,
( sQ71_spl
<=> growth_rate(first_movers,sk2(sk3)) = zero ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f886,plain,
( ~ sQ71_spl
| growth_rate(first_movers,sk2(sk3)) = zero ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sQ69_spl
| sQ68_spl
| sQ71_spl
| ~ sQ33_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f858,f85,f240,f885,f872,f875,f119,f69]) ).
fof(f889,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sQ64_spl
| sQ68_spl
| sQ71_spl
| ~ sQ33_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f859,f85,f240,f885,f872,f849,f119,f69]) ).
fof(f891,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sQ64_spl
| sQ70_spl
| sQ71_spl
| ~ sQ33_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f861,f85,f240,f885,f880,f849,f119,f69]) ).
fof(f897,plain,
( ~ sQ71_spl
| sQ25_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f886,f811]) ).
fof(f898,plain,
( ~ sQ71_spl
| sQ25_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f897]) ).
fof(f899,plain,
( sQ65_spl
| ~ sQ29_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f864,f818]) ).
fof(f900,plain,
( sQ65_spl
| ~ sQ29_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f899]) ).
fof(f912,plain,
( ~ sQ29_spl
| ~ sQ12_spl
| sk2(sk3) = sk1(sk3)
| greater(sk2(sk3),sk1(sk3)) ),
inference(resolution,[status(thm)],[f818,f27]) ).
fof(f913,plain,
( ~ sQ29_spl
| ~ sQ12_spl
| sQ16_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f912,f139,f136,f119,f219]) ).
fof(f1018,plain,
! [X0] :
( ~ sQ30_spl
| greater(X0,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ greater(X0,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
inference(resolution,[status(thm)],[f223,f24]) ).
fof(f1040,plain,
( ~ sQ30_spl
| ~ sQ22_spl
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(resolution,[status(thm)],[f519,f223]) ).
fof(f1042,plain,
( ~ sQ30_spl
| ~ sQ22_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f1040,f175,f168,f222]) ).
fof(f1069,plain,
( sQ25_spl
| ~ sQ42_spl
| ~ sQ51_spl
| zero != zero ),
inference(forward_demodulation,[status(thm)],[f649,f603]) ).
fof(f1070,plain,
( sQ25_spl
| ~ sQ42_spl
| ~ sQ51_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1069]) ).
fof(f1071,plain,
( sQ25_spl
| ~ sQ42_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1070]) ).
fof(f1103,plain,
( ~ sQ8_spl
| ~ sQ53_spl
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater(growth_rate(efficient_producers,equilibrium(sk3)),zero) ),
inference(resolution,[status(thm)],[f722,f27]) ).
fof(f1104,plain,
( ~ sQ8_spl
| ~ sQ53_spl
| sQ57_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1103,f759,f749,f696,f101]) ).
fof(f1121,plain,
( ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ53_spl
| greater(sk2(sk3),sk1(sk3)) ),
inference(resolution,[status(thm)],[f705,f246]) ).
fof(f1131,definition,
( sQ72_spl
<=> growth_rate(efficient_producers,equilibrium(sk3)) = growth_rate(first_movers,equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1132,plain,
( ~ sQ72_spl
| growth_rate(efficient_producers,equilibrium(sk3)) = growth_rate(first_movers,equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f1131]) ).
fof(f1138,plain,
( sQ7_spl
| ~ sQ53_spl
| ~ sQ72_spl
| ~ greater(zero,growth_rate(efficient_producers,equilibrium(sk3))) ),
inference(backward_demodulation,[status(thm)],[f1132,f703]) ).
fof(f1144,plain,
( sQ7_spl
| ~ sQ53_spl
| ~ sQ72_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1138,f753]) ).
fof(f1145,plain,
( sQ7_spl
| ~ sQ53_spl
| ~ sQ72_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1144]) ).
fof(f1167,plain,
( ~ sQ26_spl
| ~ sQ30_spl
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(resolution,[status(thm)],[f1018,f183]) ).
fof(f1168,plain,
( ~ sQ26_spl
| ~ sQ30_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1167,f171,f222,f182]) ).
fof(f1189,plain,
( ~ sQ39_spl
| ~ sQ13_spl
| greater(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f125,f498]) ).
fof(f1206,plain,
( ~ sQ39_spl
| ~ sQ13_spl
| greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f1189,f28]) ).
fof(f1207,plain,
( ~ sQ39_spl
| ~ sQ13_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f1206,f88,f124,f429]) ).
fof(f1224,plain,
( ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ53_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1121,f139,f696,f124,f245]) ).
fof(f1227,plain,
( sQ30_spl
| ~ sQ12_spl
| ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk2(sk3))) ),
inference(backward_demodulation,[status(thm)],[f120,f224]) ).
fof(f1229,plain,
( ~ sQ26_spl
| ~ sQ12_spl
| greater_or_equal(zero,growth_rate(efficient_producers,sk2(sk3))) ),
inference(backward_demodulation,[status(thm)],[f120,f513]) ).
fof(f1263,plain,
( sQ30_spl
| ~ sQ12_spl
| ~ greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
inference(forward_demodulation,[status(thm)],[f120,f1227]) ).
fof(f1264,plain,
( sQ30_spl
| ~ sQ12_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1263,f866]) ).
fof(f1265,plain,
( sQ30_spl
| ~ sQ12_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1264]) ).
fof(f1267,plain,
( sQ13_spl
| ~ sQ53_spl
| ~ greater(equilibrium(sk3),sk1(sk3)) ),
inference(forward_demodulation,[status(thm)],[f697,f126]) ).
fof(f1268,plain,
( sQ13_spl
| ~ sQ53_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1267,f792]) ).
fof(f1269,plain,
( sQ13_spl
| ~ sQ53_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1268]) ).
fof(f1358,plain,
( ~ sQ22_spl
| ~ sQ12_spl
| growth_rate(first_movers,sk2(sk3)) = zero
| greater(growth_rate(first_movers,sk2(sk3)),zero) ),
inference(resolution,[status(thm)],[f809,f27]) ).
fof(f1359,plain,
( ~ sQ22_spl
| ~ sQ12_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f1358,f880,f885,f119,f168]) ).
fof(f1366,plain,
( ~ sQ26_spl
| ~ sQ12_spl
| zero = growth_rate(efficient_producers,sk2(sk3))
| greater(zero,growth_rate(efficient_producers,sk2(sk3))) ),
inference(resolution,[status(thm)],[f1229,f27]) ).
fof(f1367,plain,
( ~ sQ26_spl
| ~ sQ12_spl
| sQ67_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f1366,f872,f869,f119,f182]) ).
fof(f1373,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(resolution,[status(thm)],[f489,f109]) ).
fof(f1374,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1373,f97,f229,f108]) ).
fof(f1387,plain,
( sQ13_spl
| ~ sQ14_spl
| ~ greater(sk1(sk3),sk1(sk3)) ),
inference(backward_demodulation,[status(thm)],[f128,f126]) ).
fof(f1389,plain,
( sQ4_spl
| ~ sQ14_spl
| ~ greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference(backward_demodulation,[status(thm)],[f128,f90]) ).
fof(f1394,plain,
( sQ13_spl
| ~ sQ14_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1387,f144]) ).
fof(f1395,plain,
( sQ13_spl
| ~ sQ14_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1394]) ).
fof(f1396,plain,
( sQ4_spl
| ~ sQ14_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1389,f626,f127,f88]) ).
fof(f1399,plain,
( sQ39_spl
| ~ sQ35_spl
| ~ greater(sk1(sk3),sk2(sk3)) ),
inference(backward_demodulation,[status(thm)],[f249,f431]) ).
fof(f1405,plain,
( sQ4_spl
| ~ sQ35_spl
| ~ sQ14_spl
| ~ greater_or_equal(sk1(sk3),sk2(sk3)) ),
inference(forward_demodulation,[status(thm)],[f128,f253]) ).
fof(f1406,plain,
( sQ4_spl
| ~ sQ35_spl
| ~ sQ14_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1405,f388]) ).
fof(f1407,plain,
( sQ4_spl
| ~ sQ35_spl
| ~ sQ14_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1406]) ).
fof(f1408,plain,
( sQ39_spl
| ~ sQ35_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1399,f134]) ).
fof(f1409,plain,
( sQ39_spl
| ~ sQ35_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1408]) ).
fof(f1410,plain,
$false,
inference(sat_refutation,[status(thm)],[f65,f67,f72,f100,f111,f114,f122,f130,f142,f149,f151,f174,f178,f185,f186,f187,f188,f201,f211,f215,f225,f232,f234,f243,f251,f257,f274,f277,f305,f318,f321,f331,f398,f405,f435,f455,f456,f496,f507,f511,f533,f543,f552,f561,f562,f574,f575,f625,f642,f647,f651,f652,f653,f654,f656,f658,f663,f699,f745,f758,f766,f771,f772,f774,f776,f778,f780,f782,f784,f786,f789,f794,f821,f823,f852,f868,f879,f884,f888,f889,f891,f898,f900,f913,f1042,f1071,f1104,f1145,f1168,f1207,f1224,f1265,f1269,f1359,f1367,f1374,f1395,f1396,f1407,f1409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT029-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n016.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 01:26:53 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.58 % Drodi V4.1.1
% 0.15/1.04 % Refutation found
% 0.15/1.04 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/1.04 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.50/1.07 % Elapsed time: 0.487378 seconds
% 0.50/1.07 % CPU time: 3.615805 seconds
% 0.50/1.07 % Total memory used: 113.093 MB
% 0.50/1.07 % Net memory used: 109.024 MB
%------------------------------------------------------------------------------