%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT035-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 01:25:22 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.60s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 90
% Syntax : Number of formulae : 447 ( 9 unt; 67 def)
% Number of atoms : 1477 ( 98 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 1802 ( 772 ~; 963 |; 0 &)
% ( 67 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 76 ( 74 usr; 68 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 120 ( 120 !; 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,C,D] :
( outcompetes(C,B,D)
| ~ greater(zero,growth_rate(B,D))
| ~ greater_or_equal(growth_rate(C,D),zero)
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,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(f10,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(f11,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(f12,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(f13,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(f14,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(f15,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(f16,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(f17,hypothesis,
! [A] :
( in_environment(A,sk1(A))
| ~ stable(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,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(f19,hypothesis,
! [A] :
( in_environment(A,sk2(A))
| ~ stable(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
! [A] :
( greater_or_equal(sk2(A),equilibrium(A))
| ~ stable(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
stable(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [A] :
( subpopulations(first_movers,efficient_producers,sk3,sk4(A))
| ~ in_environment(sk3,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [A] :
( greater_or_equal(sk4(A),A)
| ~ in_environment(sk3,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [A] :
( ~ outcompetes(efficient_producers,first_movers,sk4(A))
| ~ in_environment(sk3,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [A,C] :
( greater(A,C)
| ! [B] :
( ~ greater(B,C)
| ~ greater(A,B) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f27,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f28,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(f29,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)],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f31,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f33,plain,
! [B,C,D] :
( outcompetes(C,B,D)
| ~ greater(zero,growth_rate(B,D))
| ~ greater_or_equal(growth_rate(C,D),zero)
| ! [A] :
( ~ subpopulations(B,C,A,D)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( outcompetes(X2,X1,X3)
| ~ greater(zero,growth_rate(X1,X3))
| ~ greater_or_equal(growth_rate(X2,X3),zero)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f39,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)],[f9]) ).
fof(f40,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)],[f39]) ).
fof(f41,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)],[f10]) ).
fof(f42,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)],[f41]) ).
fof(f43,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)],[f11]) ).
fof(f44,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)],[f43]) ).
fof(f45,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)],[f12]) ).
fof(f46,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)],[f45]) ).
fof(f47,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)],[f13]) ).
fof(f48,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)],[f47]) ).
fof(f49,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)],[f14]) ).
fof(f50,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)],[f49]) ).
fof(f51,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)],[f15]) ).
fof(f52,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)],[f51]) ).
fof(f53,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)],[f16]) ).
fof(f54,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)],[f53]) ).
fof(f55,plain,
! [X0] :
( in_environment(X0,sk1(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f56,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)],[f18]) ).
fof(f57,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)],[f56]) ).
fof(f58,plain,
! [X0] :
( in_environment(X0,sk2(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f59,plain,
! [X0] :
( greater_or_equal(sk2(X0),equilibrium(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f60,plain,
environment(sk3),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f61,plain,
stable(sk3),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f62,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,sk3,sk4(X0))
| ~ in_environment(sk3,X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f63,plain,
! [X0] :
( greater_or_equal(sk4(X0),X0)
| ~ in_environment(sk3,X0) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f64,plain,
! [X0] :
( ~ outcompetes(efficient_producers,first_movers,sk4(X0))
| ~ in_environment(sk3,X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f65,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f32]) ).
fof(f67,plain,
( in_environment(sk3,sk1(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f55,f61]) ).
fof(f68,definition,
( sQ0_spl
<=> environment(sk3) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f70,plain,
( sQ0_spl
| ~ environment(sk3) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,definition,
( sQ1_spl
<=> in_environment(sk3,sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f72,plain,
( ~ sQ1_spl
| in_environment(sk3,sk1(sk3)) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f67,f68,f71]) ).
fof(f75,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f70,f60]) ).
fof(f76,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f75]) ).
fof(f77,plain,
( ~ sQ1_spl
| greater_or_equal(sk4(sk1(sk3)),sk1(sk3)) ),
inference(resolution,[status(thm)],[f72,f63]) ).
fof(f78,plain,
( ~ sQ1_spl
| subpopulations(first_movers,efficient_producers,sk3,sk4(sk1(sk3))) ),
inference(resolution,[status(thm)],[f72,f62]) ).
fof(f79,plain,
! [X0] :
( ~ sQ1_spl
| greater(sk1(sk3),X0)
| X0 = sk1(sk3)
| greater(X0,sk1(sk3))
| ~ in_environment(sk3,X0) ),
inference(resolution,[status(thm)],[f72,f29]) ).
fof(f80,plain,
( ~ sQ1_spl
| sk4(sk1(sk3)) = sk1(sk3)
| greater(sk4(sk1(sk3)),sk1(sk3)) ),
inference(resolution,[status(thm)],[f77,f30]) ).
fof(f81,definition,
( sQ2_spl
<=> greater(sk4(sk1(sk3)),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( ~ sQ2_spl
| greater(sk4(sk1(sk3)),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f83,plain,
( sQ2_spl
| ~ greater(sk4(sk1(sk3)),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,definition,
( sQ3_spl
<=> sk4(sk1(sk3)) = sk1(sk3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( ~ sQ3_spl
| sk4(sk1(sk3)) = sk1(sk3) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,plain,
( ~ sQ1_spl
| sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f80,f81,f84,f71]) ).
fof(f88,plain,
! [X0] :
( ~ sQ2_spl
| greater(sk4(sk1(sk3)),X0)
| ~ greater(sk1(sk3),X0) ),
inference(resolution,[status(thm)],[f82,f27]) ).
fof(f91,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)],[f78,f46]) ).
fof(f94,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)],[f78,f40]) ).
fof(f97,plain,
( ~ sQ1_spl
| outcompetes(efficient_producers,first_movers,sk4(sk1(sk3)))
| ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f78,f34]) ).
fof(f98,definition,
( sQ4_spl
<=> greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( ~ sQ4_spl
| greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f100,plain,
( sQ4_spl
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,definition,
( sQ5_spl
<=> growth_rate(efficient_producers,sk4(sk1(sk3))) = zero ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ5_spl
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,definition,
( sQ6_spl
<=> greater(growth_rate(first_movers,sk4(sk1(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f105,plain,
( ~ sQ6_spl
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,definition,
( sQ7_spl
<=> greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( ~ sQ7_spl
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f111,definition,
( sQ8_spl
<=> growth_rate(first_movers,sk4(sk1(sk3))) = zero ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ8_spl
| growth_rate(first_movers,sk4(sk1(sk3))) = zero ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,definition,
( sQ9_spl
<=> greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ9_spl
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f116,plain,
( sQ9_spl
| ~ greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,definition,
( sQ10_spl
<=> greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( sQ10_spl
| ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( ~ sQ1_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl
| ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f91,f68,f98,f111,f114,f117,f71]) ).
fof(f123,plain,
( ~ sQ1_spl
| sQ7_spl
| sQ6_spl
| sQ8_spl
| ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f94,f68,f98,f111,f104,f107,f71]) ).
fof(f124,definition,
( sQ11_spl
<=> outcompetes(efficient_producers,first_movers,sk4(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ11_spl
| outcompetes(efficient_producers,first_movers,sk4(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( sQ11_spl
| ~ outcompetes(efficient_producers,first_movers,sk4(sk1(sk3))) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f128,definition,
( sQ12_spl
<=> greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( ~ sQ12_spl
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f132,plain,
( ~ sQ1_spl
| sQ11_spl
| ~ sQ10_spl
| ~ sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f97,f68,f128,f117,f124,f71]) ).
fof(f133,plain,
( ~ sQ1_spl
| greater(sk1(sk3),sk1(sk3))
| sk1(sk3) = sk1(sk3)
| greater(sk1(sk3),sk1(sk3)) ),
inference(resolution,[status(thm)],[f79,f72]) ).
fof(f134,definition,
( sQ13_spl
<=> greater(sk1(sk3),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( ~ sQ13_spl
| greater(sk1(sk3),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,definition,
( sQ14_spl
<=> sk1(sk3) = sk1(sk3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ1_spl
| sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f133,f134,f137,f71]) ).
fof(f143,plain,
( ~ sQ11_spl
| ~ in_environment(sk3,sk1(sk3)) ),
inference(resolution,[status(thm)],[f125,f64]) ).
fof(f144,plain,
( ~ sQ11_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f72]) ).
fof(f145,plain,
( ~ sQ11_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f144]) ).
fof(f148,plain,
( in_environment(sk3,sk2(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f58,f61]) ).
fof(f149,definition,
( sQ15_spl
<=> in_environment(sk3,sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ15_spl
| in_environment(sk3,sk2(sk3)) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( sQ15_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f148,f68,f149]) ).
fof(f153,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| greater(sk1(sk3),sk2(sk3))
| sk2(sk3) = sk1(sk3)
| greater(sk2(sk3),sk1(sk3)) ),
inference(resolution,[status(thm)],[f150,f79]) ).
fof(f154,plain,
( ~ sQ15_spl
| greater_or_equal(sk4(sk2(sk3)),sk2(sk3)) ),
inference(resolution,[status(thm)],[f150,f63]) ).
fof(f155,plain,
( ~ sQ15_spl
| subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3))) ),
inference(resolution,[status(thm)],[f150,f62]) ).
fof(f156,plain,
! [X0] :
( ~ sQ15_spl
| greater(sk2(sk3),X0)
| X0 = sk2(sk3)
| greater(X0,sk2(sk3))
| ~ in_environment(sk3,X0) ),
inference(resolution,[status(thm)],[f150,f29]) ).
fof(f157,definition,
( sQ16_spl
<=> greater(sk2(sk3),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ16_spl
| greater(sk2(sk3),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,definition,
( sQ17_spl
<=> sk2(sk3) = sk1(sk3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ17_spl
| sk2(sk3) = sk1(sk3) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,definition,
( sQ18_spl
<=> greater(sk1(sk3),sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( ~ sQ18_spl
| greater(sk1(sk3),sk2(sk3)) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f153,f157,f160,f163,f149,f71]) ).
fof(f167,plain,
( sQ10_spl
| ~ sQ8_spl
| ~ greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f112,f119]) ).
fof(f168,plain,
( ~ sQ6_spl
| ~ sQ8_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f112,f105]) ).
fof(f169,plain,
( sQ10_spl
| ~ sQ8_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f167,f168]) ).
fof(f170,plain,
( sQ10_spl
| ~ sQ8_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f169]) ).
fof(f171,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)],[f50,f78]) ).
fof(f172,plain,
( ~ sQ1_spl
| sQ10_spl
| sQ6_spl
| sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f171,f68,f98,f101,f104,f117,f71]) ).
fof(f179,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)],[f57,f78]) ).
fof(f180,definition,
( sQ19_spl
<=> stable(sk3) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( sQ19_spl
| ~ stable(sk3) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,definition,
( sQ20_spl
<=> greater_or_equal(sk4(sk1(sk3)),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( sQ20_spl
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,definition,
( sQ21_spl
<=> greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ21_spl
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( ~ sQ1_spl
| sQ21_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f179,f68,f180,f183,f186,f71]) ).
fof(f190,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(forward_demodulation,[status(thm)],[f102,f187]) ).
fof(f191,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f190,f119]) ).
fof(f192,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( sQ20_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f185,f77]) ).
fof(f194,plain,
( sQ20_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f193]) ).
fof(f195,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f182,f61]) ).
fof(f196,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f195]) ).
fof(f197,plain,
( greater_or_equal(sk2(sk3),equilibrium(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f59,f61]) ).
fof(f198,definition,
( sQ22_spl
<=> greater_or_equal(sk2(sk3),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ22_spl
| greater_or_equal(sk2(sk3),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( sQ22_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f197,f68,f198]) ).
fof(f202,plain,
( ~ sQ22_spl
| sk2(sk3) = equilibrium(sk3)
| greater(sk2(sk3),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f199,f30]) ).
fof(f203,definition,
( sQ23_spl
<=> greater(sk2(sk3),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ23_spl
| greater(sk2(sk3),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,definition,
( sQ24_spl
<=> sk2(sk3) = equilibrium(sk3) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ24_spl
| sk2(sk3) = equilibrium(sk3) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( ~ sQ22_spl
| sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f202,f203,f206,f198]) ).
fof(f211,plain,
( ~ sQ15_spl
| ~ sQ24_spl
| in_environment(sk3,equilibrium(sk3)) ),
inference(backward_demodulation,[status(thm)],[f207,f150]) ).
fof(f213,plain,
( ~ sQ18_spl
| ~ sQ24_spl
| greater(sk1(sk3),equilibrium(sk3)) ),
inference(backward_demodulation,[status(thm)],[f207,f164]) ).
fof(f216,plain,
( ~ sQ15_spl
| ~ sQ24_spl
| greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(backward_demodulation,[status(thm)],[f207,f154]) ).
fof(f219,plain,
( ~ sQ15_spl
| ~ sQ24_spl
| greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3)) ),
inference(forward_demodulation,[status(thm)],[f207,f216]) ).
fof(f220,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| ~ sQ24_spl
| greater(sk1(sk3),equilibrium(sk3))
| equilibrium(sk3) = sk1(sk3)
| greater(equilibrium(sk3),sk1(sk3)) ),
inference(resolution,[status(thm)],[f211,f79]) ).
fof(f224,definition,
( sQ25_spl
<=> greater(equilibrium(sk3),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ25_spl
| greater(equilibrium(sk3),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,definition,
( sQ26_spl
<=> equilibrium(sk3) = sk1(sk3) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ26_spl
| equilibrium(sk3) = sk1(sk3) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ27_spl
<=> greater(sk1(sk3),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ27_spl
| greater(sk1(sk3),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| ~ sQ24_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f220,f224,f227,f230,f206,f149,f71]) ).
fof(f268,plain,
! [X0] :
( ~ sQ23_spl
| greater(sk2(sk3),X0)
| ~ greater(equilibrium(sk3),X0) ),
inference(resolution,[status(thm)],[f204,f27]) ).
fof(f271,plain,
( ~ sQ15_spl
| greater(sk2(sk3),sk2(sk3))
| sk2(sk3) = sk2(sk3)
| greater(sk2(sk3),sk2(sk3)) ),
inference(resolution,[status(thm)],[f156,f150]) ).
fof(f273,definition,
( sQ28_spl
<=> greater(sk2(sk3),sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ28_spl
| greater(sk2(sk3),sk2(sk3)) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ29_spl
<=> sk2(sk3) = sk2(sk3) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ15_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f271,f273,f276,f149]) ).
fof(f280,plain,
( ~ sQ15_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)],[f155,f57]) ).
fof(f281,plain,
( ~ sQ15_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)],[f155,f54]) ).
fof(f282,plain,
( ~ sQ15_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)],[f155,f52]) ).
fof(f283,plain,
( ~ sQ15_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)],[f155,f50]) ).
fof(f284,plain,
( ~ sQ15_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)],[f155,f48]) ).
fof(f285,plain,
( ~ sQ15_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)],[f155,f46]) ).
fof(f286,plain,
( ~ sQ15_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)],[f155,f44]) ).
fof(f287,plain,
( ~ sQ15_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)],[f155,f42]) ).
fof(f288,plain,
( ~ sQ15_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)],[f155,f40]) ).
fof(f291,plain,
( ~ sQ15_spl
| outcompetes(efficient_producers,first_movers,sk4(sk2(sk3)))
| ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f155,f34]) ).
fof(f292,definition,
( sQ30_spl
<=> greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( sQ30_spl
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,definition,
( sQ31_spl
<=> greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ31_spl
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( sQ31_spl
| ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,plain,
( ~ sQ15_spl
| sQ31_spl
| ~ sQ30_spl
| ~ sQ19_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f280,f68,f180,f292,f295,f149]) ).
fof(f299,definition,
( sQ32_spl
<=> greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( ~ sQ32_spl
| greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f301,plain,
( sQ32_spl
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,definition,
( sQ33_spl
<=> growth_rate(efficient_producers,sk4(sk2(sk3))) = zero ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ33_spl
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,definition,
( sQ34_spl
<=> greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ34_spl
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f307,plain,
( sQ34_spl
| ~ greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,definition,
( sQ35_spl
<=> greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( sQ35_spl
| ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( ~ sQ15_spl
| sQ35_spl
| sQ34_spl
| sQ33_spl
| ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f281,f68,f299,f302,f305,f308,f149]) ).
fof(f312,definition,
( sQ36_spl
<=> greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ36_spl
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f314,plain,
( sQ36_spl
| ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( ~ sQ15_spl
| sQ36_spl
| sQ34_spl
| sQ33_spl
| ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f282,f68,f299,f302,f305,f312,f149]) ).
fof(f316,definition,
( sQ37_spl
<=> greater(growth_rate(first_movers,sk4(sk2(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( ~ sQ37_spl
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f318,plain,
( sQ37_spl
| ~ greater(growth_rate(first_movers,sk4(sk2(sk3))),zero) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,plain,
( ~ sQ15_spl
| sQ35_spl
| sQ37_spl
| sQ33_spl
| ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f283,f68,f299,f302,f316,f308,f149]) ).
fof(f320,plain,
( ~ sQ15_spl
| sQ36_spl
| sQ37_spl
| sQ33_spl
| ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f284,f68,f299,f302,f316,f312,f149]) ).
fof(f321,definition,
( sQ38_spl
<=> growth_rate(first_movers,sk4(sk2(sk3))) = zero ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ38_spl
| growth_rate(first_movers,sk4(sk2(sk3))) = zero ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,plain,
( ~ sQ15_spl
| sQ35_spl
| sQ34_spl
| sQ38_spl
| ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f285,f68,f299,f321,f305,f308,f149]) ).
fof(f325,plain,
( ~ sQ15_spl
| sQ36_spl
| sQ34_spl
| sQ38_spl
| ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f286,f68,f299,f321,f305,f312,f149]) ).
fof(f326,plain,
( ~ sQ15_spl
| sQ35_spl
| sQ37_spl
| sQ38_spl
| ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f287,f68,f299,f321,f316,f308,f149]) ).
fof(f327,plain,
( ~ sQ15_spl
| sQ36_spl
| sQ37_spl
| sQ38_spl
| ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f288,f68,f299,f321,f316,f312,f149]) ).
fof(f328,definition,
( sQ39_spl
<=> outcompetes(efficient_producers,first_movers,sk4(sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ39_spl
| outcompetes(efficient_producers,first_movers,sk4(sk2(sk3))) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f330,plain,
( sQ39_spl
| ~ outcompetes(efficient_producers,first_movers,sk4(sk2(sk3))) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f332,definition,
( sQ40_spl
<=> greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f333,plain,
( ~ sQ40_spl
| greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f336,plain,
( ~ sQ15_spl
| sQ39_spl
| ~ sQ35_spl
| ~ sQ40_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f291,f68,f332,f308,f328,f149]) ).
fof(f337,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f322,f317]) ).
fof(f340,plain,
( ~ sQ31_spl
| ~ sQ33_spl
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(forward_demodulation,[status(thm)],[f303,f296]) ).
fof(f341,plain,
( ~ sQ31_spl
| ~ sQ33_spl
| ~ sQ38_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f322,f340]) ).
fof(f344,plain,
( ~ sQ15_spl
| sk4(sk2(sk3)) = sk2(sk3)
| greater(sk4(sk2(sk3)),sk2(sk3)) ),
inference(resolution,[status(thm)],[f154,f30]) ).
fof(f345,definition,
( sQ41_spl
<=> greater(sk4(sk2(sk3)),sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ41_spl
| greater(sk4(sk2(sk3)),sk2(sk3)) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,definition,
( sQ42_spl
<=> sk4(sk2(sk3)) = sk2(sk3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ42_spl
| sk4(sk2(sk3)) = sk2(sk3) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( ~ sQ15_spl
| sQ42_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f344,f345,f348,f149]) ).
fof(f353,plain,
( ~ sQ15_spl
| ~ sQ42_spl
| subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)) ),
inference(backward_demodulation,[status(thm)],[f349,f155]) ).
fof(f359,plain,
( sQ32_spl
| ~ sQ42_spl
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3)) ),
inference(backward_demodulation,[status(thm)],[f349,f301]) ).
fof(f360,plain,
( sQ32_spl
| ~ sQ42_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f359,f199]) ).
fof(f361,plain,
( sQ32_spl
| ~ sQ42_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f360]) ).
fof(f367,plain,
( ~ sQ27_spl
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f231,f31]) ).
fof(f424,plain,
( ~ sQ4_spl
| sk4(sk1(sk3)) = equilibrium(sk3)
| greater(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f99,f30]) ).
fof(f425,definition,
( sQ43_spl
<=> greater(sk4(sk1(sk3)),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f428,definition,
( sQ44_spl
<=> sk4(sk1(sk3)) = equilibrium(sk3) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( ~ sQ44_spl
| sk4(sk1(sk3)) = equilibrium(sk3) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( ~ sQ4_spl
| sQ44_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f424,f425,f428,f98]) ).
fof(f433,plain,
( ~ sQ1_spl
| ~ sQ44_spl
| greater_or_equal(equilibrium(sk3),sk1(sk3)) ),
inference(backward_demodulation,[status(thm)],[f429,f77]) ).
fof(f447,plain,
! [X0] :
( ~ sQ18_spl
| greater(sk1(sk3),X0)
| ~ greater(sk2(sk3),X0) ),
inference(resolution,[status(thm)],[f164,f27]) ).
fof(f449,plain,
( ~ sQ1_spl
| ~ sQ44_spl
| equilibrium(sk3) = sk1(sk3)
| greater(equilibrium(sk3),sk1(sk3)) ),
inference(resolution,[status(thm)],[f433,f30]) ).
fof(f450,plain,
( ~ sQ1_spl
| ~ sQ44_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f449,f224,f227,f428,f71]) ).
fof(f454,plain,
( ~ sQ25_spl
| greater_or_equal(equilibrium(sk3),sk1(sk3)) ),
inference(resolution,[status(thm)],[f225,f31]) ).
fof(f481,plain,
( ~ sQ25_spl
| ~ sQ23_spl
| greater(sk2(sk3),sk1(sk3)) ),
inference(resolution,[status(thm)],[f268,f225]) ).
fof(f482,plain,
( ~ sQ32_spl
| sk4(sk2(sk3)) = equilibrium(sk3)
| greater(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f300,f30]) ).
fof(f483,definition,
( sQ45_spl
<=> greater(sk4(sk2(sk3)),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f486,definition,
( sQ46_spl
<=> sk4(sk2(sk3)) = equilibrium(sk3) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ46_spl
| sk4(sk2(sk3)) = equilibrium(sk3) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( ~ sQ32_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f482,f483,f486,f299]) ).
fof(f496,plain,
( sQ30_spl
| ~ sQ46_spl
| ~ greater_or_equal(equilibrium(sk3),sk1(sk3)) ),
inference(backward_demodulation,[status(thm)],[f487,f294]) ).
fof(f499,plain,
( sQ30_spl
| ~ sQ46_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f496,f454]) ).
fof(f500,plain,
( sQ30_spl
| ~ sQ46_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f499]) ).
fof(f512,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk3)) ),
inference(backward_demodulation,[status(thm)],[f85,f78]) ).
fof(f521,plain,
( ~ sQ9_spl
| ~ sQ3_spl
| greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
inference(backward_demodulation,[status(thm)],[f85,f115]) ).
fof(f522,plain,
( sQ11_spl
| ~ sQ3_spl
| ~ outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference(backward_demodulation,[status(thm)],[f85,f126]) ).
fof(f568,plain,
( ~ sQ21_spl
| ~ sQ8_spl
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference(backward_demodulation,[status(thm)],[f112,f187]) ).
fof(f646,plain,
( ~ sQ25_spl
| ~ sQ23_spl
| greater_or_equal(sk2(sk3),sk1(sk3)) ),
inference(resolution,[status(thm)],[f481,f31]) ).
fof(f650,plain,
( ~ sQ7_spl
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[f108,f31]) ).
fof(f651,plain,
( ~ sQ7_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f650,f128,f107]) ).
fof(f652,plain,
( ~ sQ25_spl
| ~ sQ23_spl
| sk2(sk3) = sk1(sk3)
| greater(sk2(sk3),sk1(sk3)) ),
inference(resolution,[status(thm)],[f646,f30]) ).
fof(f653,plain,
( ~ sQ25_spl
| ~ sQ23_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f652,f157,f160,f203,f224]) ).
fof(f655,plain,
! [X0] :
( ~ sQ41_spl
| greater(sk4(sk2(sk3)),X0)
| ~ greater(sk2(sk3),X0) ),
inference(resolution,[status(thm)],[f346,f27]) ).
fof(f657,plain,
( ~ sQ39_spl
| ~ in_environment(sk3,sk2(sk3)) ),
inference(resolution,[status(thm)],[f329,f64]) ).
fof(f658,plain,
( ~ sQ39_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f657,f150]) ).
fof(f659,plain,
( ~ sQ39_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f658]) ).
fof(f664,plain,
! [X0] :
( ~ sQ31_spl
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),X0)
| ~ greater(growth_rate(first_movers,sk4(sk2(sk3))),X0) ),
inference(resolution,[status(thm)],[f296,f27]) ).
fof(f666,plain,
! [X0] :
( ~ sQ21_spl
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),X0)
| ~ greater(growth_rate(first_movers,sk4(sk1(sk3))),X0) ),
inference(resolution,[status(thm)],[f187,f27]) ).
fof(f670,plain,
! [X0] :
( ~ sQ34_spl
| greater(zero,X0)
| ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),X0) ),
inference(resolution,[status(thm)],[f306,f27]) ).
fof(f673,plain,
( ~ sQ37_spl
| greater_or_equal(growth_rate(first_movers,sk4(sk2(sk3))),zero) ),
inference(resolution,[status(thm)],[f317,f31]) ).
fof(f681,plain,
( ~ sQ23_spl
| ~ sQ41_spl
| greater(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f655,f204]) ).
fof(f682,plain,
( ~ sQ37_spl
| ~ sQ31_spl
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(resolution,[status(thm)],[f664,f317]) ).
fof(f695,plain,
( ~ sQ31_spl
| ~ sQ34_spl
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(resolution,[status(thm)],[f670,f296]) ).
fof(f696,plain,
( ~ sQ31_spl
| ~ sQ34_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f695,f308,f305,f295]) ).
fof(f708,plain,
( sQ34_spl
| ~ sQ33_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f303,f307]) ).
fof(f709,plain,
( sQ34_spl
| ~ sQ33_spl
| ~ sQ37_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f708,f337]) ).
fof(f710,plain,
( sQ34_spl
| ~ sQ33_spl
| ~ sQ37_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f709]) ).
fof(f714,plain,
( ~ sQ21_spl
| ~ sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f568,f107,f111,f186]) ).
fof(f731,plain,
( sQ30_spl
| ~ sQ26_spl
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(forward_demodulation,[status(thm)],[f228,f294]) ).
fof(f732,plain,
( sQ30_spl
| ~ sQ26_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f731,f300]) ).
fof(f733,plain,
( sQ30_spl
| ~ sQ26_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f732]) ).
fof(f769,plain,
( ~ sQ41_spl
| ~ sQ16_spl
| greater(sk4(sk2(sk3)),sk1(sk3)) ),
inference(resolution,[status(thm)],[f158,f655]) ).
fof(f771,plain,
( ~ sQ16_spl
| greater_or_equal(sk2(sk3),sk1(sk3)) ),
inference(resolution,[status(thm)],[f158,f31]) ).
fof(f782,plain,
( ~ sQ36_spl
| greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(resolution,[status(thm)],[f313,f31]) ).
fof(f783,plain,
( ~ sQ36_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f782,f332,f312]) ).
fof(f784,plain,
( ~ sQ37_spl
| ~ sQ31_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f682,f312,f295,f316]) ).
fof(f791,plain,
( sQ37_spl
| ~ sQ38_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f322,f318]) ).
fof(f792,plain,
( sQ37_spl
| ~ sQ38_spl
| ~ sQ31_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f791,f341]) ).
fof(f793,plain,
( sQ37_spl
| ~ sQ38_spl
| ~ sQ31_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f792]) ).
fof(f795,plain,
( sQ39_spl
| ~ sQ42_spl
| ~ outcompetes(efficient_producers,first_movers,sk2(sk3)) ),
inference(backward_demodulation,[status(thm)],[f349,f330]) ).
fof(f802,plain,
( sQ30_spl
| ~ sQ42_spl
| ~ greater_or_equal(sk2(sk3),sk1(sk3)) ),
inference(backward_demodulation,[status(thm)],[f349,f294]) ).
fof(f804,plain,
( ~ sQ37_spl
| ~ sQ42_spl
| greater_or_equal(growth_rate(first_movers,sk2(sk3)),zero) ),
inference(backward_demodulation,[status(thm)],[f349,f673]) ).
fof(f806,plain,
( sQ31_spl
| ~ sQ42_spl
| ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk2(sk3))) ),
inference(backward_demodulation,[status(thm)],[f349,f297]) ).
fof(f807,plain,
( ~ sQ34_spl
| ~ sQ42_spl
| greater(zero,growth_rate(efficient_producers,sk2(sk3))) ),
inference(backward_demodulation,[status(thm)],[f349,f306]) ).
fof(f810,plain,
( sQ35_spl
| ~ sQ42_spl
| ~ greater(zero,growth_rate(first_movers,sk2(sk3))) ),
inference(backward_demodulation,[status(thm)],[f349,f310]) ).
fof(f811,plain,
( sQ36_spl
| ~ sQ42_spl
| ~ greater(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference(backward_demodulation,[status(thm)],[f349,f314]) ).
fof(f815,plain,
( sQ31_spl
| ~ sQ42_spl
| ~ greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
inference(forward_demodulation,[status(thm)],[f349,f806]) ).
fof(f816,plain,
( ~ sQ16_spl
| sQ30_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f771,f802]) ).
fof(f817,plain,
( ~ sQ16_spl
| sQ30_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f816]) ).
fof(f818,plain,
( ~ sQ15_spl
| ~ sQ42_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)],[f353,f57]) ).
fof(f819,plain,
( ~ sQ15_spl
| ~ sQ42_spl
| greater(zero,growth_rate(first_movers,sk2(sk3)))
| 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)],[f353,f54]) ).
fof(f820,plain,
( ~ sQ15_spl
| ~ sQ42_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)],[f353,f52]) ).
fof(f821,plain,
( ~ sQ15_spl
| ~ sQ42_spl
| greater(zero,growth_rate(first_movers,sk2(sk3)))
| 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)],[f353,f50]) ).
fof(f822,plain,
( ~ sQ15_spl
| ~ sQ42_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)],[f353,f48]) ).
fof(f823,plain,
( ~ sQ15_spl
| ~ sQ42_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)],[f353,f46]) ).
fof(f824,plain,
( ~ sQ15_spl
| ~ sQ42_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)],[f353,f44]) ).
fof(f825,plain,
( ~ sQ15_spl
| ~ sQ42_spl
| greater(zero,growth_rate(first_movers,sk2(sk3)))
| 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)],[f353,f42]) ).
fof(f829,plain,
( ~ sQ15_spl
| ~ sQ42_spl
| outcompetes(efficient_producers,first_movers,sk2(sk3))
| ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ greater_or_equal(growth_rate(efficient_producers,sk2(sk3)),zero)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f353,f34]) ).
fof(f830,definition,
( sQ49_spl
<=> greater_or_equal(sk2(sk3),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f832,plain,
( sQ49_spl
| ~ greater_or_equal(sk2(sk3),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,definition,
( sQ50_spl
<=> greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f834,plain,
( ~ sQ50_spl
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,plain,
( ~ sQ15_spl
| ~ sQ42_spl
| sQ50_spl
| ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f818,f68,f180,f830,f833,f348,f149]) ).
fof(f837,definition,
( sQ51_spl
<=> growth_rate(efficient_producers,sk2(sk3)) = zero ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f838,plain,
( ~ sQ51_spl
| growth_rate(efficient_producers,sk2(sk3)) = zero ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,definition,
( sQ52_spl
<=> greater(zero,growth_rate(efficient_producers,sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f841,plain,
( ~ sQ52_spl
| greater(zero,growth_rate(efficient_producers,sk2(sk3))) ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,definition,
( sQ53_spl
<=> greater(zero,growth_rate(first_movers,sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f844,plain,
( ~ sQ53_spl
| greater(zero,growth_rate(first_movers,sk2(sk3))) ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( ~ sQ15_spl
| ~ sQ42_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| ~ sQ22_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f819,f68,f198,f837,f840,f843,f348,f149]) ).
fof(f847,definition,
( sQ54_spl
<=> greater(growth_rate(efficient_producers,sk2(sk3)),zero) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f848,plain,
( ~ sQ54_spl
| greater(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f849,plain,
( sQ54_spl
| ~ greater(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,plain,
( ~ sQ15_spl
| ~ sQ42_spl
| sQ54_spl
| sQ52_spl
| sQ51_spl
| ~ sQ22_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f820,f68,f198,f837,f840,f847,f348,f149]) ).
fof(f851,definition,
( sQ55_spl
<=> greater(growth_rate(first_movers,sk2(sk3)),zero) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( ~ sQ15_spl
| ~ sQ42_spl
| sQ53_spl
| sQ55_spl
| sQ51_spl
| ~ sQ22_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f821,f68,f198,f837,f851,f843,f348,f149]) ).
fof(f855,plain,
( ~ sQ15_spl
| ~ sQ42_spl
| sQ54_spl
| sQ55_spl
| sQ51_spl
| ~ sQ22_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f822,f68,f198,f837,f851,f847,f348,f149]) ).
fof(f856,definition,
( sQ56_spl
<=> growth_rate(first_movers,sk2(sk3)) = zero ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f857,plain,
( ~ sQ56_spl
| growth_rate(first_movers,sk2(sk3)) = zero ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f859,plain,
( ~ sQ15_spl
| ~ sQ42_spl
| sQ53_spl
| sQ52_spl
| sQ56_spl
| ~ sQ22_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f823,f68,f198,f856,f840,f843,f348,f149]) ).
fof(f860,plain,
( ~ sQ15_spl
| ~ sQ42_spl
| sQ54_spl
| sQ52_spl
| sQ56_spl
| ~ sQ22_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f824,f68,f198,f856,f840,f847,f348,f149]) ).
fof(f861,plain,
( ~ sQ15_spl
| ~ sQ42_spl
| sQ53_spl
| sQ55_spl
| sQ56_spl
| ~ sQ22_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f825,f68,f198,f856,f851,f843,f348,f149]) ).
fof(f863,definition,
( sQ57_spl
<=> outcompetes(efficient_producers,first_movers,sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f864,plain,
( ~ sQ57_spl
| outcompetes(efficient_producers,first_movers,sk2(sk3)) ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f867,definition,
( sQ58_spl
<=> greater_or_equal(growth_rate(efficient_producers,sk2(sk3)),zero) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f871,plain,
( ~ sQ15_spl
| ~ sQ42_spl
| sQ57_spl
| ~ sQ53_spl
| ~ sQ58_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f829,f68,f867,f843,f863,f348,f149]) ).
fof(f916,plain,
( ~ sQ23_spl
| ~ sQ41_spl
| greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f681,f31]) ).
fof(f917,plain,
( ~ sQ23_spl
| ~ sQ41_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f916,f299,f345,f203]) ).
fof(f918,plain,
( sQ36_spl
| ~ sQ42_spl
| ~ greater(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference(backward_demodulation,[status(thm)],[f349,f314]) ).
fof(f925,plain,
( sQ36_spl
| ~ sQ42_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f811,f848]) ).
fof(f926,plain,
( sQ36_spl
| ~ sQ42_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f925]) ).
fof(f930,plain,
( ~ sQ53_spl
| sQ35_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f844,f810]) ).
fof(f931,plain,
( ~ sQ53_spl
| sQ35_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f930]) ).
fof(f940,plain,
( ~ sQ57_spl
| sQ39_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f864,f795]) ).
fof(f941,plain,
( ~ sQ57_spl
| sQ39_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f940]) ).
fof(f948,plain,
( ~ sQ34_spl
| ~ sQ42_spl
| ~ sQ51_spl
| greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f838,f807]) ).
fof(f949,plain,
( sQ35_spl
| ~ sQ42_spl
| ~ sQ56_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f857,f810]) ).
fof(f950,plain,
( ~ sQ36_spl
| ~ sQ42_spl
| greater(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference(forward_demodulation,[status(thm)],[f349,f313]) ).
fof(f951,plain,
( ~ sQ36_spl
| ~ sQ42_spl
| ~ sQ51_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f838,f950]) ).
fof(f952,plain,
( ~ sQ36_spl
| ~ sQ42_spl
| ~ sQ51_spl
| sQ35_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f951,f949]) ).
fof(f953,plain,
( ~ sQ36_spl
| ~ sQ42_spl
| ~ sQ51_spl
| sQ35_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f952]) ).
fof(f955,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| greater_or_equal(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference(forward_demodulation,[status(thm)],[f349,f333]) ).
fof(f990,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference(resolution,[status(thm)],[f955,f30]) ).
fof(f991,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| sQ51_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f990,f847,f837,f348,f332]) ).
fof(f995,plain,
( ~ sQ52_spl
| ~ sQ51_spl
| greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f838,f841]) ).
fof(f996,plain,
( sQ54_spl
| ~ sQ51_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f838,f849]) ).
fof(f997,plain,
( sQ54_spl
| ~ sQ51_spl
| ~ sQ34_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f996,f948]) ).
fof(f998,plain,
( sQ54_spl
| ~ sQ51_spl
| ~ sQ34_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f997]) ).
fof(f999,plain,
( sQ36_spl
| ~ sQ42_spl
| ~ sQ51_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f838,f918]) ).
fof(f1001,plain,
( ~ sQ52_spl
| ~ sQ51_spl
| sQ36_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f995,f999]) ).
fof(f1002,plain,
( ~ sQ52_spl
| ~ sQ51_spl
| sQ36_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1001]) ).
fof(f1009,plain,
( ~ sQ37_spl
| ~ sQ42_spl
| growth_rate(first_movers,sk2(sk3)) = zero
| greater(growth_rate(first_movers,sk2(sk3)),zero) ),
inference(resolution,[status(thm)],[f804,f30]) ).
fof(f1010,plain,
( ~ sQ37_spl
| ~ sQ42_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1009,f851,f856,f348,f316]) ).
fof(f1017,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| greater(sk4(sk1(sk3)),sk2(sk3)) ),
inference(resolution,[status(thm)],[f88,f164]) ).
fof(f1018,plain,
( ~ sQ27_spl
| ~ sQ2_spl
| greater(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f88,f231]) ).
fof(f1021,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| greater_or_equal(sk4(sk1(sk3)),sk2(sk3)) ),
inference(resolution,[status(thm)],[f1017,f31]) ).
fof(f1023,plain,
( ~ sQ27_spl
| ~ sQ2_spl
| greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f1018,f31]) ).
fof(f1024,plain,
( ~ sQ27_spl
| ~ sQ2_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f1023,f98,f81,f230]) ).
fof(f1031,plain,
( sQ4_spl
| ~ sQ3_spl
| ~ greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference(backward_demodulation,[status(thm)],[f85,f100]) ).
fof(f1035,plain,
( sQ2_spl
| ~ sQ3_spl
| ~ greater(sk1(sk3),sk1(sk3)) ),
inference(backward_demodulation,[status(thm)],[f85,f83]) ).
fof(f1044,plain,
( sQ4_spl
| ~ sQ3_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1031,f367]) ).
fof(f1045,plain,
( sQ4_spl
| ~ sQ3_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1044]) ).
fof(f1071,plain,
( ~ sQ1_spl
| ~ sQ3_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)],[f512,f57]) ).
fof(f1072,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| greater(zero,growth_rate(first_movers,sk1(sk3)))
| 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)],[f512,f54]) ).
fof(f1082,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| outcompetes(efficient_producers,first_movers,sk1(sk3))
| ~ greater(zero,growth_rate(first_movers,sk1(sk3)))
| ~ greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f512,f34]) ).
fof(f1083,definition,
( sQ59_spl
<=> greater_or_equal(sk1(sk3),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1085,plain,
( sQ59_spl
| ~ greater_or_equal(sk1(sk3),sk1(sk3)) ),
inference(component_clause,[status(thm)],[f1083]) ).
fof(f1086,definition,
( sQ60_spl
<=> greater(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1087,plain,
( ~ sQ60_spl
| greater(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3))) ),
inference(component_clause,[status(thm)],[f1086]) ).
fof(f1089,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| sQ60_spl
| ~ sQ59_spl
| ~ sQ19_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1071,f68,f180,f1083,f1086,f84,f71]) ).
fof(f1090,definition,
( sQ61_spl
<=> greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
( sQ61_spl
| ~ greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference(component_clause,[status(thm)],[f1090]) ).
fof(f1093,definition,
( sQ62_spl
<=> growth_rate(efficient_producers,sk1(sk3)) = zero ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1094,plain,
( ~ sQ62_spl
| growth_rate(efficient_producers,sk1(sk3)) = zero ),
inference(component_clause,[status(thm)],[f1093]) ).
fof(f1096,definition,
( sQ63_spl
<=> greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1097,plain,
( ~ sQ63_spl
| greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
inference(component_clause,[status(thm)],[f1096]) ).
fof(f1099,definition,
( sQ64_spl
<=> greater(zero,growth_rate(first_movers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1102,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| sQ64_spl
| sQ63_spl
| sQ62_spl
| ~ sQ61_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1072,f68,f1090,f1093,f1096,f1099,f84,f71]) ).
fof(f1119,definition,
( sQ68_spl
<=> outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1120,plain,
( ~ sQ68_spl
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1123,definition,
( sQ69_spl
<=> greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1125,plain,
( sQ69_spl
| ~ greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference(component_clause,[status(thm)],[f1123]) ).
fof(f1127,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| sQ68_spl
| ~ sQ64_spl
| ~ sQ69_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1082,f68,f1123,f1099,f1119,f84,f71]) ).
fof(f1131,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference(forward_demodulation,[status(thm)],[f1094,f1087]) ).
fof(f1133,plain,
( sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1085,f65]) ).
fof(f1134,plain,
sQ59_spl,
inference(contradiction_clause,[status(thm)],[f1133]) ).
fof(f1135,plain,
( ~ sQ50_spl
| sQ31_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f834,f815]) ).
fof(f1136,plain,
( ~ sQ50_spl
| sQ31_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1135]) ).
fof(f1171,plain,
( ~ sQ68_spl
| sQ11_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1120,f522]) ).
fof(f1172,plain,
( ~ sQ68_spl
| sQ11_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1171]) ).
fof(f1251,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sk4(sk1(sk3)) = sk2(sk3)
| greater(sk4(sk1(sk3)),sk2(sk3)) ),
inference(resolution,[status(thm)],[f1021,f30]) ).
fof(f1252,definition,
( sQ70_spl
<=> greater(sk4(sk1(sk3)),sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1255,definition,
( sQ71_spl
<=> sk4(sk1(sk3)) = sk2(sk3) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1256,plain,
( ~ sQ71_spl
| sk4(sk1(sk3)) = sk2(sk3) ),
inference(component_clause,[status(thm)],[f1255]) ).
fof(f1258,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f1251,f1252,f1255,f81,f163]) ).
fof(f1259,plain,
( ~ sQ21_spl
| ~ sQ3_spl
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk1(sk3))) ),
inference(backward_demodulation,[status(thm)],[f85,f187]) ).
fof(f1270,plain,
( sQ2_spl
| ~ sQ3_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1035,f135]) ).
fof(f1271,plain,
( sQ2_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1270]) ).
fof(f1315,plain,
( ~ sQ1_spl
| ~ sQ71_spl
| greater_or_equal(sk2(sk3),sk1(sk3)) ),
inference(forward_demodulation,[status(thm)],[f1256,f77]) ).
fof(f1328,plain,
( sQ49_spl
| ~ sQ1_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f832,f1315]) ).
fof(f1329,plain,
( sQ49_spl
| ~ sQ1_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1328]) ).
fof(f1416,plain,
( ~ sQ41_spl
| ~ sQ16_spl
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(resolution,[status(thm)],[f769,f31]) ).
fof(f1417,plain,
( ~ sQ41_spl
| ~ sQ16_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1416,f292,f157,f345]) ).
fof(f1500,plain,
( ~ sQ23_spl
| ~ sQ18_spl
| greater(sk1(sk3),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f447,f204]) ).
fof(f1501,plain,
( ~ sQ23_spl
| ~ sQ18_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f1500,f230,f163,f203]) ).
fof(f1503,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1131,f1099,f1093,f1086]) ).
fof(f1522,plain,
( ~ sQ21_spl
| ~ sQ3_spl
| greater(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3))) ),
inference(backward_demodulation,[status(thm)],[f85,f1259]) ).
fof(f1553,plain,
( ~ sQ15_spl
| ~ sQ17_spl
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(backward_demodulation,[status(thm)],[f161,f154]) ).
fof(f1579,plain,
( ~ sQ15_spl
| ~ sQ17_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1553,f292,f160,f149]) ).
fof(f1635,plain,
( sQ61_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1092,f367]) ).
fof(f1636,plain,
( sQ61_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1635]) ).
fof(f1644,plain,
( ~ sQ12_spl
| ~ sQ3_spl
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference(forward_demodulation,[status(thm)],[f85,f129]) ).
fof(f1724,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ3_spl
| greater(zero,X0)
| ~ greater(growth_rate(efficient_producers,sk1(sk3)),X0) ),
inference(resolution,[status(thm)],[f521,f27]) ).
fof(f1773,plain,
( ~ sQ21_spl
| ~ sQ3_spl
| ~ sQ9_spl
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference(resolution,[status(thm)],[f1724,f1522]) ).
fof(f1774,plain,
( ~ sQ21_spl
| ~ sQ3_spl
| ~ sQ9_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1773,f1099,f114,f84,f186]) ).
fof(f1778,plain,
( sQ69_spl
| ~ sQ12_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1125,f1644]) ).
fof(f1779,plain,
( sQ69_spl
| ~ sQ12_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1778]) ).
fof(f1825,plain,
! [X0] :
( ~ sQ9_spl
| greater(zero,X0)
| ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),X0) ),
inference(resolution,[status(thm)],[f115,f27]) ).
fof(f1839,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[f666,f105]) ).
fof(f1840,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1839,f107,f186,f104]) ).
fof(f1870,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(resolution,[status(thm)],[f1825,f187]) ).
fof(f1871,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1870,f117,f114,f186]) ).
fof(f1889,plain,
( sQ9_spl
| ~ sQ3_spl
| ~ greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
inference(forward_demodulation,[status(thm)],[f85,f116]) ).
fof(f1890,plain,
( sQ9_spl
| ~ sQ3_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1889,f1097]) ).
fof(f1891,plain,
( sQ9_spl
| ~ sQ3_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1890]) ).
fof(f1892,plain,
( ~ sQ18_spl
| ~ sQ24_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f213,f230,f206,f163]) ).
fof(f1897,plain,
( ~ sQ28_spl
| ~ sQ24_spl
| greater(sk2(sk3),equilibrium(sk3)) ),
inference(backward_demodulation,[status(thm)],[f207,f274]) ).
fof(f1920,plain,
( sQ32_spl
| ~ sQ24_spl
| ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3)) ),
inference(backward_demodulation,[status(thm)],[f207,f301]) ).
fof(f1932,plain,
( ~ sQ28_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1897,f203,f206,f273]) ).
fof(f1940,plain,
( sQ32_spl
| ~ sQ24_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1920,f219]) ).
fof(f1941,plain,
( sQ32_spl
| ~ sQ24_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1940]) ).
fof(f1942,plain,
$false,
inference(sat_refutation,[status(thm)],[f74,f76,f87,f120,f123,f132,f140,f145,f152,f166,f170,f172,f189,f192,f194,f196,f201,f209,f233,f279,f298,f311,f315,f319,f320,f324,f325,f326,f327,f336,f351,f361,f431,f450,f489,f500,f651,f653,f659,f696,f710,f714,f733,f783,f784,f793,f817,f836,f846,f850,f854,f855,f859,f860,f861,f871,f917,f926,f931,f941,f953,f991,f998,f1002,f1010,f1024,f1045,f1089,f1102,f1127,f1134,f1136,f1172,f1258,f1271,f1329,f1417,f1501,f1503,f1579,f1636,f1774,f1779,f1840,f1871,f1891,f1892,f1932,f1941]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT035-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 01:27:58 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.60 % Refutation found
% 0.11/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.95/0.62 % Elapsed time: 0.227790 seconds
% 0.95/0.62 % CPU time: 1.533240 seconds
% 0.95/0.62 % Total memory used: 102.124 MB
% 0.95/0.62 % Net memory used: 99.651 MB
%------------------------------------------------------------------------------