TSTP Solution File: MGT029-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : MGT029-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:28:41 EDT 2024
% Result : Unsatisfiable 0.21s 0.50s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 111
% Syntax : Number of formulae : 707 ( 9 unt; 0 def)
% Number of atoms : 2348 ( 154 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 2937 (1296 ~;1552 |; 0 &)
% ( 89 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 97 ( 95 usr; 90 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 119 ( 119 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( ~ greater(A,B)
| ~ greater(B,C)
| greater(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( ~ in_environment(A,B)
| ~ in_environment(A,C)
| greater(C,B)
| C = B
| greater(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( ~ greater_or_equal(A,B)
| greater(A,B)
| A = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] :
( ~ greater(A,B)
| greater_or_equal(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] :
( A != B
| greater_or_equal(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A))
| growth_rate(first_movers,B) = zero
| greater(growth_rate(first_movers,B),zero)
| greater(growth_rate(efficient_producers,B),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A))
| growth_rate(first_movers,B) = zero
| greater(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(first_movers,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A))
| growth_rate(first_movers,B) = zero
| greater(zero,growth_rate(efficient_producers,B))
| greater(growth_rate(efficient_producers,B),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A))
| growth_rate(first_movers,B) = zero
| greater(zero,growth_rate(efficient_producers,B))
| greater(zero,growth_rate(first_movers,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A))
| growth_rate(efficient_producers,B) = zero
| greater(growth_rate(first_movers,B),zero)
| greater(growth_rate(efficient_producers,B),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A))
| growth_rate(efficient_producers,B) = zero
| greater(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(first_movers,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A))
| growth_rate(efficient_producers,B) = zero
| greater(zero,growth_rate(efficient_producers,B))
| greater(growth_rate(efficient_producers,B),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A))
| growth_rate(efficient_producers,B) = zero
| greater(zero,growth_rate(efficient_producers,B))
| greater(zero,growth_rate(first_movers,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
! [A] :
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk1(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
! [A,B] :
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk1(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
! [A] :
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk2(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
! [A] :
( ~ environment(A)
| ~ stable(A)
| greater_or_equal(sk2(A),equilibrium(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
stable(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [A] :
( ~ in_environment(sk3,A)
| subpopulations(first_movers,efficient_producers,sk3,sk4(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [A] :
( ~ in_environment(sk3,A)
| greater_or_equal(sk4(A),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [A] :
( ~ in_environment(sk3,A)
| ~ greater(growth_rate(efficient_producers,sk4(A)),zero)
| ~ greater(zero,growth_rate(first_movers,sk4(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,plain,
! [A,C] :
( ! [B] :
( ~ greater(A,B)
| ~ greater(B,C) )
| greater(A,C) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f25,plain,
! [B,C] :
( ! [A] :
( ~ in_environment(A,B)
| ~ in_environment(A,C) )
| greater(C,B)
| C = B
| greater(B,C) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ in_environment(X0,X1)
| ~ in_environment(X0,X2)
| greater(X2,X1)
| X2 = X1
| greater(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f28,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f29,plain,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f30,plain,
! [B] :
( ! [A] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A)) )
| growth_rate(first_movers,B) = zero
| greater(growth_rate(first_movers,B),zero)
| greater(growth_rate(efficient_producers,B),zero) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f31,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f32,plain,
! [B] :
( ! [A] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A)) )
| growth_rate(first_movers,B) = zero
| greater(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(first_movers,B)) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f33,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f34,plain,
! [B] :
( ! [A] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A)) )
| growth_rate(first_movers,B) = zero
| greater(zero,growth_rate(efficient_producers,B))
| greater(growth_rate(efficient_producers,B),zero) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f35,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f36,plain,
! [B] :
( ! [A] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A)) )
| growth_rate(first_movers,B) = zero
| greater(zero,growth_rate(efficient_producers,B))
| greater(zero,growth_rate(first_movers,B)) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f37,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1)) ),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f38,plain,
! [B] :
( ! [A] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A)) )
| growth_rate(efficient_producers,B) = zero
| greater(growth_rate(first_movers,B),zero)
| greater(growth_rate(efficient_producers,B),zero) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f39,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f40,plain,
! [B] :
( ! [A] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A)) )
| growth_rate(efficient_producers,B) = zero
| greater(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(first_movers,B)) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f41,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f42,plain,
! [B] :
( ! [A] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A)) )
| growth_rate(efficient_producers,B) = zero
| greater(zero,growth_rate(efficient_producers,B))
| greater(growth_rate(efficient_producers,B),zero) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f43,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
! [B] :
( ! [A] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,equilibrium(A)) )
| growth_rate(efficient_producers,B) = zero
| greater(zero,growth_rate(efficient_producers,B))
| greater(zero,growth_rate(first_movers,B)) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f45,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1)) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f46,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| in_environment(X0,sk1(X0)) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f47,plain,
! [B] :
( ! [A] :
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk1(A)) )
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f48,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,sk1(X0))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f49,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| in_environment(X0,sk2(X0)) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f50,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| greater_or_equal(sk2(X0),equilibrium(X0)) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f51,plain,
environment(sk3),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f52,plain,
stable(sk3),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f53,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| subpopulations(first_movers,efficient_producers,sk3,sk4(X0)) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f54,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| greater_or_equal(sk4(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f55,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| ~ greater(growth_rate(efficient_producers,sk4(X0)),zero)
| ~ greater(zero,growth_rate(first_movers,sk4(X0))) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f56,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f29]) ).
fof(f57,plain,
( spl0_0
<=> environment(sk3) ),
introduced(split_symbol_definition) ).
fof(f59,plain,
( ~ environment(sk3)
| spl0_0 ),
inference(component_clause,[status(thm)],[f57]) ).
fof(f60,plain,
( spl0_1
<=> in_environment(sk3,sk1(sk3)) ),
introduced(split_symbol_definition) ).
fof(f61,plain,
( in_environment(sk3,sk1(sk3))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f60]) ).
fof(f63,plain,
( ~ environment(sk3)
| in_environment(sk3,sk1(sk3)) ),
inference(resolution,[status(thm)],[f46,f52]) ).
fof(f64,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f63,f57,f60]) ).
fof(f65,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f59,f51]) ).
fof(f66,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f65]) ).
fof(f67,plain,
( spl0_2
<=> in_environment(sk3,sk2(sk3)) ),
introduced(split_symbol_definition) ).
fof(f68,plain,
( in_environment(sk3,sk2(sk3))
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f67]) ).
fof(f70,plain,
( ~ environment(sk3)
| in_environment(sk3,sk2(sk3)) ),
inference(resolution,[status(thm)],[f49,f52]) ).
fof(f71,plain,
( ~ spl0_0
| spl0_2 ),
inference(split_clause,[status(thm)],[f70,f57,f67]) ).
fof(f72,plain,
( spl0_3
<=> greater_or_equal(sk2(sk3),equilibrium(sk3)) ),
introduced(split_symbol_definition) ).
fof(f73,plain,
( greater_or_equal(sk2(sk3),equilibrium(sk3))
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,plain,
( ~ environment(sk3)
| greater_or_equal(sk2(sk3),equilibrium(sk3)) ),
inference(resolution,[status(thm)],[f50,f52]) ).
fof(f76,plain,
( ~ spl0_0
| spl0_3 ),
inference(split_clause,[status(thm)],[f75,f57,f72]) ).
fof(f77,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk4(sk1(sk3)))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f61,f53]) ).
fof(f78,plain,
( greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f61,f54]) ).
fof(f79,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| greater(X0,sk1(sk3))
| X0 = sk1(sk3)
| greater(sk1(sk3),X0)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f61,f26]) ).
fof(f80,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3)))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f68,f53]) ).
fof(f81,plain,
( greater_or_equal(sk4(sk2(sk3)),sk2(sk3))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f68,f54]) ).
fof(f82,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| greater(X0,sk2(sk3))
| X0 = sk2(sk3)
| greater(sk2(sk3),X0)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f68,f26]) ).
fof(f83,plain,
( spl0_4
<=> greater(sk2(sk3),equilibrium(sk3)) ),
introduced(split_symbol_definition) ).
fof(f84,plain,
( greater(sk2(sk3),equilibrium(sk3))
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,plain,
( spl0_5
<=> sk2(sk3) = equilibrium(sk3) ),
introduced(split_symbol_definition) ).
fof(f87,plain,
( sk2(sk3) = equilibrium(sk3)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,plain,
( greater(sk2(sk3),equilibrium(sk3))
| sk2(sk3) = equilibrium(sk3)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f73,f27]) ).
fof(f90,plain,
( spl0_4
| spl0_5
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f89,f83,f86,f72]) ).
fof(f92,plain,
( spl0_6
<=> greater(sk4(sk1(sk3)),sk1(sk3)) ),
introduced(split_symbol_definition) ).
fof(f93,plain,
( greater(sk4(sk1(sk3)),sk1(sk3))
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,plain,
( spl0_7
<=> sk4(sk1(sk3)) = sk1(sk3) ),
introduced(split_symbol_definition) ).
fof(f96,plain,
( sk4(sk1(sk3)) = sk1(sk3)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,plain,
( greater(sk4(sk1(sk3)),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f78,f27]) ).
fof(f99,plain,
( spl0_6
| spl0_7
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f98,f92,f95,f60]) ).
fof(f100,plain,
( spl0_8
<=> greater(sk4(sk2(sk3)),sk2(sk3)) ),
introduced(split_symbol_definition) ).
fof(f101,plain,
( greater(sk4(sk2(sk3)),sk2(sk3))
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f102,plain,
( ~ greater(sk4(sk2(sk3)),sk2(sk3))
| spl0_8 ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,plain,
( spl0_9
<=> sk4(sk2(sk3)) = sk2(sk3) ),
introduced(split_symbol_definition) ).
fof(f104,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( greater(sk4(sk2(sk3)),sk2(sk3))
| sk4(sk2(sk3)) = sk2(sk3)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f81,f27]) ).
fof(f107,plain,
( spl0_8
| spl0_9
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f106,f100,f103,f67]) ).
fof(f108,plain,
! [X0] :
( ~ greater(sk1(sk3),X0)
| greater(sk4(sk1(sk3)),X0)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f93,f24]) ).
fof(f109,plain,
! [X0] :
( ~ greater(sk2(sk3),X0)
| greater(sk4(sk2(sk3)),X0)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f101,f24]) ).
fof(f110,plain,
( spl0_10
<=> greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
introduced(split_symbol_definition) ).
fof(f111,plain,
( greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f112,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| spl0_10 ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,plain,
( spl0_11
<=> growth_rate(efficient_producers,sk4(sk1(sk3))) = zero ),
introduced(split_symbol_definition) ).
fof(f114,plain,
( growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( growth_rate(efficient_producers,sk4(sk1(sk3))) != zero
| spl0_11 ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,plain,
( spl0_12
<=> greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
introduced(split_symbol_definition) ).
fof(f117,plain,
( greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f118,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| spl0_12 ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( spl0_13
<=> greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
introduced(split_symbol_definition) ).
fof(f120,plain,
( greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f121,plain,
( ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| spl0_13 ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f77,f45]) ).
fof(f123,plain,
( ~ spl0_0
| ~ spl0_10
| spl0_11
| spl0_12
| spl0_13
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f122,f57,f110,f113,f116,f119,f60]) ).
fof(f124,plain,
( spl0_14
<=> greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
introduced(split_symbol_definition) ).
fof(f125,plain,
( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| spl0_14 ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f77,f43]) ).
fof(f128,plain,
( ~ spl0_0
| ~ spl0_10
| spl0_11
| spl0_12
| spl0_14
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f127,f57,f110,f113,f116,f124,f60]) ).
fof(f129,plain,
( spl0_15
<=> greater(growth_rate(first_movers,sk4(sk1(sk3))),zero) ),
introduced(split_symbol_definition) ).
fof(f130,plain,
( greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f131,plain,
( ~ greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| spl0_15 ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f77,f41]) ).
fof(f133,plain,
( ~ spl0_0
| ~ spl0_10
| spl0_11
| spl0_15
| spl0_13
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f132,f57,f110,f113,f129,f119,f60]) ).
fof(f134,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f77,f39]) ).
fof(f135,plain,
( ~ spl0_0
| ~ spl0_10
| spl0_11
| spl0_15
| spl0_14
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f134,f57,f110,f113,f129,f124,f60]) ).
fof(f136,plain,
( spl0_16
<=> growth_rate(first_movers,sk4(sk1(sk3))) = zero ),
introduced(split_symbol_definition) ).
fof(f137,plain,
( growth_rate(first_movers,sk4(sk1(sk3))) = zero
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f138,plain,
( growth_rate(first_movers,sk4(sk1(sk3))) != zero
| spl0_16 ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f77,f37]) ).
fof(f140,plain,
( ~ spl0_0
| ~ spl0_10
| spl0_16
| spl0_12
| spl0_13
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f139,f57,f110,f136,f116,f119,f60]) ).
fof(f141,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f77,f35]) ).
fof(f142,plain,
( ~ spl0_0
| ~ spl0_10
| spl0_16
| spl0_12
| spl0_14
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f141,f57,f110,f136,f116,f124,f60]) ).
fof(f145,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f77,f31]) ).
fof(f146,plain,
( ~ spl0_0
| ~ spl0_10
| spl0_16
| spl0_15
| spl0_14
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f145,f57,f110,f136,f129,f124,f60]) ).
fof(f147,plain,
( spl0_17
<=> stable(sk3) ),
introduced(split_symbol_definition) ).
fof(f149,plain,
( ~ stable(sk3)
| spl0_17 ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( spl0_18
<=> greater_or_equal(sk4(sk1(sk3)),sk1(sk3)) ),
introduced(split_symbol_definition) ).
fof(f152,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| spl0_18 ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( spl0_19
<=> greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))) ),
introduced(split_symbol_definition) ).
fof(f154,plain,
( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f77,f48]) ).
fof(f157,plain,
( ~ spl0_0
| ~ spl0_17
| ~ spl0_18
| spl0_19
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f156,f57,f147,f150,f153,f60]) ).
fof(f158,plain,
( $false
| ~ spl0_1
| spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f152,f78]) ).
fof(f159,plain,
( ~ spl0_1
| spl0_18 ),
inference(contradiction_clause,[status(thm)],[f158]) ).
fof(f160,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f149,f52]) ).
fof(f161,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f160]) ).
fof(f162,plain,
( spl0_20
<=> greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
introduced(split_symbol_definition) ).
fof(f163,plain,
( greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f164,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| spl0_20 ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,plain,
( spl0_21
<=> growth_rate(efficient_producers,sk4(sk2(sk3))) = zero ),
introduced(split_symbol_definition) ).
fof(f166,plain,
( growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f167,plain,
( growth_rate(efficient_producers,sk4(sk2(sk3))) != zero
| spl0_21 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( spl0_22
<=> greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
introduced(split_symbol_definition) ).
fof(f169,plain,
( greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( spl0_23
<=> greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
introduced(split_symbol_definition) ).
fof(f172,plain,
( greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f173,plain,
( ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| spl0_23 ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f80,f45]) ).
fof(f175,plain,
( ~ spl0_0
| ~ spl0_20
| spl0_21
| spl0_22
| spl0_23
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f174,f57,f162,f165,f168,f171,f67]) ).
fof(f176,plain,
( spl0_24
<=> greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
introduced(split_symbol_definition) ).
fof(f177,plain,
( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f178,plain,
( ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| spl0_24 ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f80,f43]) ).
fof(f180,plain,
( ~ spl0_0
| ~ spl0_20
| spl0_21
| spl0_22
| spl0_24
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f179,f57,f162,f165,f168,f176,f67]) ).
fof(f181,plain,
( spl0_25
<=> greater(growth_rate(first_movers,sk4(sk2(sk3))),zero) ),
introduced(split_symbol_definition) ).
fof(f182,plain,
( greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f183,plain,
( ~ greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| spl0_25 ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f80,f41]) ).
fof(f185,plain,
( ~ spl0_0
| ~ spl0_20
| spl0_21
| spl0_25
| spl0_23
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f184,f57,f162,f165,f181,f171,f67]) ).
fof(f186,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f80,f39]) ).
fof(f187,plain,
( ~ spl0_0
| ~ spl0_20
| spl0_21
| spl0_25
| spl0_24
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f186,f57,f162,f165,f181,f176,f67]) ).
fof(f188,plain,
( spl0_26
<=> growth_rate(first_movers,sk4(sk2(sk3))) = zero ),
introduced(split_symbol_definition) ).
fof(f189,plain,
( growth_rate(first_movers,sk4(sk2(sk3))) = zero
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f190,plain,
( growth_rate(first_movers,sk4(sk2(sk3))) != zero
| spl0_26 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f80,f37]) ).
fof(f192,plain,
( ~ spl0_0
| ~ spl0_20
| spl0_26
| spl0_22
| spl0_23
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f191,f57,f162,f188,f168,f171,f67]) ).
fof(f193,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f80,f35]) ).
fof(f194,plain,
( ~ spl0_0
| ~ spl0_20
| spl0_26
| spl0_22
| spl0_24
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f193,f57,f162,f188,f168,f176,f67]) ).
fof(f195,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f80,f33]) ).
fof(f196,plain,
( ~ spl0_0
| ~ spl0_20
| spl0_26
| spl0_25
| spl0_23
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f195,f57,f162,f188,f181,f171,f67]) ).
fof(f197,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f80,f31]) ).
fof(f198,plain,
( ~ spl0_0
| ~ spl0_20
| spl0_26
| spl0_25
| spl0_24
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f197,f57,f162,f188,f181,f176,f67]) ).
fof(f199,plain,
( spl0_27
<=> greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
introduced(split_symbol_definition) ).
fof(f200,plain,
( greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f201,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| spl0_27 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( spl0_28
<=> greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
introduced(split_symbol_definition) ).
fof(f203,plain,
( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f204,plain,
( ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
| spl0_28 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f80,f48]) ).
fof(f206,plain,
( ~ spl0_0
| ~ spl0_17
| ~ spl0_27
| spl0_28
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f205,f57,f147,f199,f202,f67]) ).
fof(f207,plain,
( spl0_29
<=> greater(sk2(sk3),sk1(sk3)) ),
introduced(split_symbol_definition) ).
fof(f208,plain,
( greater(sk2(sk3),sk1(sk3))
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f209,plain,
( ~ greater(sk2(sk3),sk1(sk3))
| spl0_29 ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,plain,
( spl0_30
<=> sk2(sk3) = sk1(sk3) ),
introduced(split_symbol_definition) ).
fof(f211,plain,
( sk2(sk3) = sk1(sk3)
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( spl0_31
<=> greater(sk1(sk3),sk2(sk3)) ),
introduced(split_symbol_definition) ).
fof(f214,plain,
( greater(sk1(sk3),sk2(sk3))
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( greater(sk2(sk3),sk1(sk3))
| sk2(sk3) = sk1(sk3)
| greater(sk1(sk3),sk2(sk3))
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f79,f68]) ).
fof(f217,plain,
( spl0_29
| spl0_30
| spl0_31
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f216,f207,f210,f213,f60,f67]) ).
fof(f218,plain,
( spl0_32
<=> greater(sk1(sk3),sk1(sk3)) ),
introduced(split_symbol_definition) ).
fof(f219,plain,
( greater(sk1(sk3),sk1(sk3))
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( spl0_33
<=> sk1(sk3) = sk1(sk3) ),
introduced(split_symbol_definition) ).
fof(f224,plain,
( greater(sk1(sk3),sk1(sk3))
| sk1(sk3) = sk1(sk3)
| greater(sk1(sk3),sk1(sk3))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f79,f61]) ).
fof(f225,plain,
( spl0_32
| spl0_33
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f224,f218,f221,f60]) ).
fof(f227,plain,
( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_16
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f137,f154]) ).
fof(f228,plain,
( spl0_34
<=> greater(sk2(sk3),sk2(sk3)) ),
introduced(split_symbol_definition) ).
fof(f229,plain,
( greater(sk2(sk3),sk2(sk3))
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( ~ greater(sk2(sk3),sk2(sk3))
| spl0_34 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( spl0_35
<=> sk2(sk3) = sk2(sk3) ),
introduced(split_symbol_definition) ).
fof(f234,plain,
( greater(sk2(sk3),sk2(sk3))
| sk2(sk3) = sk2(sk3)
| greater(sk2(sk3),sk2(sk3))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f82,f68]) ).
fof(f235,plain,
( spl0_34
| spl0_35
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f234,f228,f231,f67]) ).
fof(f240,plain,
( greater_or_equal(sk1(sk3),sk2(sk3))
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f214,f28]) ).
fof(f241,plain,
! [X0] :
( ~ greater(sk2(sk3),X0)
| greater(sk1(sk3),X0)
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f214,f24]) ).
fof(f245,plain,
( spl0_36
<=> greater(zero,zero) ),
introduced(split_symbol_definition) ).
fof(f247,plain,
( ~ greater(zero,zero)
| spl0_36 ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( ~ in_environment(sk3,sk2(sk3))
| ~ greater(zero,zero)
| ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_21 ),
inference(paramodulation,[status(thm)],[f166,f55]) ).
fof(f249,plain,
( ~ spl0_2
| ~ spl0_36
| ~ spl0_23
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f248,f67,f245,f171,f165]) ).
fof(f250,plain,
( greater(zero,zero)
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f114,f125]) ).
fof(f251,plain,
( $false
| spl0_36
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f250,f247]) ).
fof(f252,plain,
( spl0_36
| ~ spl0_11
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f251]) ).
fof(f253,plain,
( greater(zero,zero)
| ~ spl0_16
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f137,f130]) ).
fof(f256,plain,
( sk4(sk1(sk3)) = sk2(sk3)
| ~ spl0_30
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f211,f104]) ).
fof(f257,plain,
( sk4(sk1(sk3)) = sk1(sk3)
| ~ spl0_30
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f211,f256]) ).
fof(f262,plain,
( ~ greater(zero,zero)
| ~ spl0_26
| spl0_23 ),
inference(forward_demodulation,[status(thm)],[f189,f173]) ).
fof(f262_001,plain,
( ~ greater(zero,zero)
| ~ spl0_26
| spl0_23 ),
inference(forward_demodulation,[status(thm)],[f189,f173]) ).
fof(f269,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| ~ spl0_30
| spl0_27 ),
inference(backward_demodulation,[status(thm)],[f211,f201]) ).
fof(f270,plain,
( ~ spl0_18
| ~ spl0_30
| spl0_27 ),
inference(split_clause,[status(thm)],[f269,f150,f210,f199]) ).
fof(f272,plain,
( greater(sk2(sk3),sk1(sk3))
| ~ spl0_30
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f211,f229]) ).
fof(f284,plain,
( greater(sk1(sk3),equilibrium(sk3))
| ~ spl0_30
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f211,f84]) ).
fof(f285,plain,
( greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ spl0_30
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f211,f73]) ).
fof(f290,plain,
( ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| ~ spl0_5
| spl0_20 ),
inference(forward_demodulation,[status(thm)],[f87,f164]) ).
fof(f291,plain,
( greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ spl0_5
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f87,f240]) ).
fof(f294,plain,
( greater(sk1(sk3),equilibrium(sk3))
| ~ spl0_5
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f87,f214]) ).
fof(f301,plain,
( greater_or_equal(sk4(equilibrium(sk3)),sk2(sk3))
| ~ spl0_5
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f87,f81]) ).
fof(f302,plain,
( greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| ~ spl0_5
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f87,f301]) ).
fof(f303,plain,
( $false
| spl0_20
| ~ spl0_5
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f302,f290]) ).
fof(f304,plain,
( spl0_20
| ~ spl0_5
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f303]) ).
fof(f307,plain,
( growth_rate(efficient_producers,sk1(sk3)) != zero
| ~ spl0_7
| spl0_11 ),
inference(backward_demodulation,[status(thm)],[f96,f115]) ).
fof(f310,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk1(sk3))
| ~ spl0_7
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f96,f77]) ).
fof(f311,plain,
( ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ spl0_7
| spl0_10 ),
inference(backward_demodulation,[status(thm)],[f96,f112]) ).
fof(f321,plain,
( spl0_37
<=> greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
introduced(split_symbol_definition) ).
fof(f322,plain,
( greater(growth_rate(efficient_producers,sk1(sk3)),zero)
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f323,plain,
( ~ greater(growth_rate(efficient_producers,sk1(sk3)),zero)
| spl0_37 ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,plain,
( ~ in_environment(sk3,sk1(sk3))
| ~ greater(growth_rate(efficient_producers,sk1(sk3)),zero)
| ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_7 ),
inference(paramodulation,[status(thm)],[f96,f55]) ).
fof(f325,plain,
( ~ spl0_1
| ~ spl0_37
| ~ spl0_13
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f324,f60,f321,f119,f95]) ).
fof(f326,plain,
( greater_or_equal(sk2(sk3),sk1(sk3))
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f208,f28]) ).
fof(f355,plain,
( spl0_38
<=> greater(sk4(sk2(sk3)),equilibrium(sk3)) ),
introduced(split_symbol_definition) ).
fof(f356,plain,
( greater(sk4(sk2(sk3)),equilibrium(sk3))
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( spl0_39
<=> sk4(sk2(sk3)) = equilibrium(sk3) ),
introduced(split_symbol_definition) ).
fof(f359,plain,
( sk4(sk2(sk3)) = equilibrium(sk3)
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,plain,
( greater(sk4(sk2(sk3)),equilibrium(sk3))
| sk4(sk2(sk3)) = equilibrium(sk3)
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f163,f27]) ).
fof(f362,plain,
( spl0_38
| spl0_39
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f361,f355,f358,f162]) ).
fof(f373,plain,
( spl0_40
<=> greater(growth_rate(efficient_producers,equilibrium(sk3)),zero) ),
introduced(split_symbol_definition) ).
fof(f374,plain,
( greater(growth_rate(efficient_producers,equilibrium(sk3)),zero)
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f375,plain,
( ~ greater(growth_rate(efficient_producers,equilibrium(sk3)),zero)
| spl0_40 ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,plain,
( ~ in_environment(sk3,sk2(sk3))
| ~ greater(growth_rate(efficient_producers,equilibrium(sk3)),zero)
| ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_39 ),
inference(paramodulation,[status(thm)],[f359,f55]) ).
fof(f377,plain,
( ~ spl0_2
| ~ spl0_40
| ~ spl0_23
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f376,f67,f373,f171,f358]) ).
fof(f425,plain,
! [X0] :
( ~ greater(equilibrium(sk3),X0)
| greater(sk4(sk2(sk3)),X0)
| ~ spl0_38 ),
inference(resolution,[status(thm)],[f356,f24]) ).
fof(f428,plain,
( greater(sk1(sk3),equilibrium(sk3))
| ~ spl0_31
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f241,f84]) ).
fof(f429,plain,
( greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ spl0_31
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f428,f28]) ).
fof(f431,plain,
( spl0_41
<=> greater(sk1(sk3),equilibrium(sk3)) ),
introduced(split_symbol_definition) ).
fof(f432,plain,
( greater(sk1(sk3),equilibrium(sk3))
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f433,plain,
( ~ greater(sk1(sk3),equilibrium(sk3))
| spl0_41 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( spl0_42
<=> sk1(sk3) = equilibrium(sk3) ),
introduced(split_symbol_definition) ).
fof(f435,plain,
( sk1(sk3) = equilibrium(sk3)
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,plain,
( greater(sk1(sk3),equilibrium(sk3))
| sk1(sk3) = equilibrium(sk3)
| ~ spl0_31
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f429,f27]) ).
fof(f438,plain,
( spl0_41
| spl0_42
| ~ spl0_31
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f437,f431,f434,f213,f83]) ).
fof(f440,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk4(equilibrium(sk3)))
| ~ spl0_42
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f435,f77]) ).
fof(f441,plain,
( ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| ~ spl0_42
| spl0_10 ),
inference(backward_demodulation,[status(thm)],[f435,f112]) ).
fof(f444,plain,
( greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| ~ spl0_42
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f435,f78]) ).
fof(f445,plain,
( greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| ~ spl0_42
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f435,f444]) ).
fof(f446,plain,
( $false
| spl0_10
| ~ spl0_42
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f445,f441]) ).
fof(f447,plain,
( spl0_10
| ~ spl0_42
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f446]) ).
fof(f458,plain,
( greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f432,f28]) ).
fof(f462,plain,
( spl0_43
<=> greater(sk4(sk1(sk3)),equilibrium(sk3)) ),
introduced(split_symbol_definition) ).
fof(f463,plain,
( greater(sk4(sk1(sk3)),equilibrium(sk3))
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( spl0_44
<=> sk4(sk1(sk3)) = equilibrium(sk3) ),
introduced(split_symbol_definition) ).
fof(f466,plain,
( sk4(sk1(sk3)) = equilibrium(sk3)
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( greater(sk4(sk1(sk3)),equilibrium(sk3))
| sk4(sk1(sk3)) = equilibrium(sk3)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f111,f27]) ).
fof(f469,plain,
( spl0_43
| spl0_44
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f468,f462,f465,f110]) ).
fof(f473,plain,
( greater(growth_rate(efficient_producers,equilibrium(sk3)),zero)
| ~ spl0_44
| ~ spl0_16
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f466,f227]) ).
fof(f474,plain,
( $false
| spl0_40
| ~ spl0_44
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f473,f375]) ).
fof(f475,plain,
( spl0_40
| ~ spl0_44
| ~ spl0_16
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f474]) ).
fof(f488,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),X0)
| greater(zero,X0)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f169,f24]) ).
fof(f489,plain,
( ~ in_environment(sk3,sk2(sk3))
| ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f177,f55]) ).
fof(f490,plain,
( ~ spl0_2
| ~ spl0_23
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f489,f67,f171,f176]) ).
fof(f493,plain,
( greater(zero,zero)
| ~ spl0_21
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f166,f169]) ).
fof(f494,plain,
( greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_21
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f166,f203]) ).
fof(f495,plain,
( $false
| ~ spl0_21
| ~ spl0_28
| spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f494]) ).
fof(f496,plain,
( ~ spl0_21
| ~ spl0_28
| spl0_23 ),
inference(contradiction_clause,[status(thm)],[f495]) ).
fof(f500,plain,
! [X0] :
( ~ greater(zero,X0)
| greater(growth_rate(efficient_producers,equilibrium(sk3)),X0)
| ~ spl0_40 ),
inference(resolution,[status(thm)],[f374,f24]) ).
fof(f519,plain,
( ~ in_environment(sk3,sk1(sk3))
| ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f125,f55]) ).
fof(f520,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f519,f60,f119,f124]) ).
fof(f521,plain,
( greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f125,f28]) ).
fof(f523,plain,
( ~ greater(zero,zero)
| ~ spl0_16
| spl0_13 ),
inference(forward_demodulation,[status(thm)],[f137,f121]) ).
fof(f523_002,plain,
( ~ greater(zero,zero)
| ~ spl0_16
| spl0_13 ),
inference(forward_demodulation,[status(thm)],[f137,f121]) ).
fof(f524,plain,
( $false
| ~ spl0_15
| ~ spl0_16
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f253]) ).
fof(f525,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_13 ),
inference(contradiction_clause,[status(thm)],[f524]) ).
fof(f526,plain,
( ~ greater(zero,zero)
| ~ spl0_11
| spl0_14 ),
inference(forward_demodulation,[status(thm)],[f114,f126]) ).
fof(f527,plain,
( greater(zero,zero)
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f114,f117]) ).
fof(f528,plain,
( $false
| spl0_14
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f527,f526]) ).
fof(f529,plain,
( spl0_14
| ~ spl0_11
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f528]) ).
fof(f531,plain,
! [X0] :
( ~ greater(zero,X0)
| greater(growth_rate(first_movers,sk4(sk2(sk3))),X0)
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f182,f24]) ).
fof(f546,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),X0)
| greater(zero,X0)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f117,f24]) ).
fof(f553,plain,
( greater(sk4(sk2(sk3)),sk1(sk3))
| ~ spl0_8
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f109,f208]) ).
fof(f556,plain,
! [X0] :
( ~ greater(growth_rate(first_movers,sk4(sk1(sk3))),X0)
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),X0)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f154,f24]) ).
fof(f558,plain,
( greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| ~ spl0_8
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f553,f28]) ).
fof(f559,plain,
( $false
| spl0_27
| ~ spl0_8
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f558,f201]) ).
fof(f560,plain,
( spl0_27
| ~ spl0_8
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f559]) ).
fof(f562,plain,
( greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ spl0_38 ),
inference(resolution,[status(thm)],[f356,f28]) ).
fof(f563,plain,
( spl0_20
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f562,f162,f355]) ).
fof(f564,plain,
( greater(sk4(sk2(sk3)),equilibrium(sk3))
| ~ spl0_8
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f109,f84]) ).
fof(f565,plain,
( spl0_38
| ~ spl0_8
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f564,f355,f100,f83]) ).
fof(f569,plain,
( greater(growth_rate(first_movers,sk2(sk3)),zero)
| ~ spl0_9
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f104,f182]) ).
fof(f570,plain,
( growth_rate(efficient_producers,sk2(sk3)) != zero
| ~ spl0_9
| spl0_21 ),
inference(backward_demodulation,[status(thm)],[f104,f167]) ).
fof(f571,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))
| ~ spl0_9
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f104,f80]) ).
fof(f573,plain,
( ~ greater_or_equal(sk2(sk3),sk1(sk3))
| ~ spl0_9
| spl0_27 ),
inference(backward_demodulation,[status(thm)],[f104,f201]) ).
fof(f574,plain,
( $false
| ~ spl0_29
| ~ spl0_9
| spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f573,f326]) ).
fof(f575,plain,
( ~ spl0_29
| ~ spl0_9
| spl0_27 ),
inference(contradiction_clause,[status(thm)],[f574]) ).
fof(f576,plain,
( ~ greater(sk2(sk3),sk2(sk3))
| ~ spl0_9
| spl0_8 ),
inference(backward_demodulation,[status(thm)],[f104,f102]) ).
fof(f577,plain,
( $false
| ~ spl0_34
| ~ spl0_9
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f576,f229]) ).
fof(f578,plain,
( ~ spl0_34
| ~ spl0_9
| spl0_8 ),
inference(contradiction_clause,[status(thm)],[f577]) ).
fof(f579,plain,
! [X0] :
( ~ greater(zero,X0)
| greater(growth_rate(first_movers,sk2(sk3)),X0)
| ~ spl0_9
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f104,f531]) ).
fof(f580,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sk2(sk3)),X0)
| greater(zero,X0)
| ~ spl0_9
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f104,f488]) ).
fof(f581,plain,
( greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f104,f172]) ).
fof(f584,plain,
( greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_9
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f104,f203]) ).
fof(f585,plain,
( greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| ~ spl0_9
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f104,f584]) ).
fof(f594,plain,
( ~ greater(sk1(sk3),sk2(sk3))
| ~ spl0_30
| spl0_34 ),
inference(forward_demodulation,[status(thm)],[f211,f230]) ).
fof(f595,plain,
( ~ greater(sk1(sk3),sk1(sk3))
| ~ spl0_30
| spl0_34 ),
inference(forward_demodulation,[status(thm)],[f211,f594]) ).
fof(f596,plain,
( $false
| ~ spl0_32
| ~ spl0_30
| spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f595,f219]) ).
fof(f597,plain,
( ~ spl0_32
| ~ spl0_30
| spl0_34 ),
inference(contradiction_clause,[status(thm)],[f596]) ).
fof(f601,plain,
( greater(sk1(sk3),sk1(sk3))
| ~ spl0_30
| ~ spl0_9
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f257,f93]) ).
fof(f607,plain,
( greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f463,f28]) ).
fof(f608,plain,
( spl0_10
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f607,f110,f462]) ).
fof(f612,plain,
( ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ spl0_30
| ~ spl0_9
| spl0_10 ),
inference(backward_demodulation,[status(thm)],[f257,f112]) ).
fof(f613,plain,
( greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| ~ spl0_30
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f211,f169]) ).
fof(f614,plain,
( spl0_12
| ~ spl0_30
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f613,f116,f210,f168]) ).
fof(f620,plain,
( greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ spl0_30
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f211,f73]) ).
fof(f621,plain,
( $false
| ~ spl0_9
| spl0_10
| ~ spl0_30
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f620,f612]) ).
fof(f622,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_30
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f621]) ).
fof(f625,plain,
( ~ greater(sk1(sk3),sk1(sk3))
| ~ spl0_30
| spl0_29 ),
inference(backward_demodulation,[status(thm)],[f211,f209]) ).
fof(f626,plain,
( $false
| ~ spl0_9
| ~ spl0_6
| ~ spl0_30
| spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f625,f601]) ).
fof(f627,plain,
( ~ spl0_9
| ~ spl0_6
| ~ spl0_30
| spl0_29 ),
inference(contradiction_clause,[status(thm)],[f626]) ).
fof(f629,plain,
( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ spl0_26
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f189,f203]) ).
fof(f630,plain,
( spl0_24
| ~ spl0_26
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f629,f176,f188,f202]) ).
fof(f632,plain,
( in_environment(sk3,equilibrium(sk3))
| ~ spl0_42
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f435,f61]) ).
fof(f636,plain,
( greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_42
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f435,f154]) ).
fof(f637,plain,
( greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3))))
| ~ spl0_42
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f435,f636]) ).
fof(f641,plain,
( greater_or_equal(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
| ~ spl0_42
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f435,f521]) ).
fof(f642,plain,
( greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
| ~ spl0_42
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f435,f125]) ).
fof(f665,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| greater(X0,sk1(sk3))
| X0 = sk1(sk3)
| greater(equilibrium(sk3),X0)
| ~ spl0_42
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f435,f79]) ).
fof(f666,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| greater(X0,equilibrium(sk3))
| X0 = sk1(sk3)
| greater(equilibrium(sk3),X0)
| ~ spl0_42
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f435,f665]) ).
fof(f667,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| greater(X0,equilibrium(sk3))
| X0 = equilibrium(sk3)
| greater(equilibrium(sk3),X0)
| ~ spl0_42
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f435,f666]) ).
fof(f672,plain,
( greater(growth_rate(efficient_producers,equilibrium(sk3)),zero)
| ~ spl0_42
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f435,f322]) ).
fof(f673,plain,
( spl0_40
| ~ spl0_42
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f672,f373,f434,f321]) ).
fof(f674,plain,
( growth_rate(first_movers,sk2(sk3)) = zero
| ~ spl0_9
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f104,f189]) ).
fof(f675,plain,
( greater(sk2(sk3),sk2(sk3))
| ~ spl0_9
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f104,f101]) ).
fof(f676,plain,
( spl0_34
| ~ spl0_9
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f675,f228,f103,f100]) ).
fof(f682,plain,
( ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| ~ spl0_9
| spl0_20 ),
inference(forward_demodulation,[status(thm)],[f104,f164]) ).
fof(f683,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f73]) ).
fof(f684,plain,
( ~ spl0_3
| ~ spl0_9
| spl0_20 ),
inference(contradiction_clause,[status(thm)],[f683]) ).
fof(f685,plain,
( growth_rate(first_movers,sk2(sk3)) != zero
| ~ spl0_9
| spl0_26 ),
inference(forward_demodulation,[status(thm)],[f104,f190]) ).
fof(f686,plain,
( greater(sk4(sk1(sk3)),equilibrium(sk3))
| ~ spl0_6
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f108,f432]) ).
fof(f687,plain,
( spl0_43
| ~ spl0_6
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f686,f462,f92,f431]) ).
fof(f688,plain,
( $false
| ~ spl0_41
| ~ spl0_7
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f311,f458]) ).
fof(f689,plain,
( ~ spl0_41
| ~ spl0_7
| spl0_10 ),
inference(contradiction_clause,[status(thm)],[f688]) ).
fof(f694,plain,
( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk1(sk3)))
| ~ spl0_7
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f96,f154]) ).
fof(f695,plain,
( greater(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3)))
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f96,f694]) ).
fof(f699,plain,
( greater(growth_rate(efficient_producers,sk1(sk3)),zero)
| ~ spl0_7
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f96,f125]) ).
fof(f700,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(sk3)))
| ~ spl0_7
| spl0_13 ),
inference(backward_demodulation,[status(thm)],[f96,f121]) ).
fof(f724,plain,
( spl0_45
<=> greater(growth_rate(efficient_producers,sk2(sk3)),zero) ),
introduced(split_symbol_definition) ).
fof(f725,plain,
( greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f726,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| spl0_45 ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,plain,
( ~ in_environment(sk3,sk2(sk3))
| ~ greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_9 ),
inference(paramodulation,[status(thm)],[f104,f55]) ).
fof(f728,plain,
( ~ spl0_2
| ~ spl0_45
| ~ spl0_23
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f727,f67,f724,f171,f103]) ).
fof(f755,plain,
( ~ greater(equilibrium(sk3),equilibrium(sk3))
| ~ spl0_42
| spl0_41 ),
inference(forward_demodulation,[status(thm)],[f435,f433]) ).
fof(f759,plain,
( ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ spl0_9
| spl0_23 ),
inference(backward_demodulation,[status(thm)],[f104,f173]) ).
fof(f772,plain,
( spl0_46
<=> growth_rate(efficient_producers,sk2(sk3)) = zero ),
introduced(split_symbol_definition) ).
fof(f773,plain,
( growth_rate(efficient_producers,sk2(sk3)) = zero
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( spl0_47
<=> greater(zero,growth_rate(efficient_producers,sk2(sk3))) ),
introduced(split_symbol_definition) ).
fof(f776,plain,
( greater(zero,growth_rate(efficient_producers,sk2(sk3)))
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,plain,
( spl0_48
<=> greater(zero,growth_rate(first_movers,sk2(sk3))) ),
introduced(split_symbol_definition) ).
fof(f779,plain,
( greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk2(sk3)))
| greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ spl0_9
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f571,f45]) ).
fof(f782,plain,
( ~ spl0_0
| ~ spl0_3
| spl0_46
| spl0_47
| spl0_48
| ~ spl0_9
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f781,f57,f72,f772,f775,f778,f103,f67]) ).
fof(f783,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk2(sk3)))
| greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| ~ spl0_9
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f571,f43]) ).
fof(f784,plain,
( ~ spl0_0
| ~ spl0_3
| spl0_46
| spl0_47
| spl0_45
| ~ spl0_9
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f783,f57,f72,f772,f775,f724,f103,f67]) ).
fof(f785,plain,
( spl0_49
<=> greater(growth_rate(first_movers,sk2(sk3)),zero) ),
introduced(split_symbol_definition) ).
fof(f786,plain,
( greater(growth_rate(first_movers,sk2(sk3)),zero)
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f787,plain,
( ~ greater(growth_rate(first_movers,sk2(sk3)),zero)
| spl0_49 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(growth_rate(first_movers,sk2(sk3)),zero)
| greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ spl0_9
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f571,f41]) ).
fof(f789,plain,
( ~ spl0_0
| ~ spl0_3
| spl0_46
| spl0_49
| spl0_48
| ~ spl0_9
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f788,f57,f72,f772,f785,f778,f103,f67]) ).
fof(f790,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(growth_rate(first_movers,sk2(sk3)),zero)
| greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| ~ spl0_9
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f571,f39]) ).
fof(f791,plain,
( ~ spl0_0
| ~ spl0_3
| spl0_46
| spl0_49
| spl0_45
| ~ spl0_9
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f790,f57,f72,f772,f785,f724,f103,f67]) ).
fof(f792,plain,
( spl0_50
<=> growth_rate(first_movers,sk2(sk3)) = zero ),
introduced(split_symbol_definition) ).
fof(f793,plain,
( growth_rate(first_movers,sk2(sk3)) = zero
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f795,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| growth_rate(first_movers,sk2(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk2(sk3)))
| greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ spl0_9
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f571,f37]) ).
fof(f796,plain,
( ~ spl0_0
| ~ spl0_3
| spl0_50
| spl0_47
| spl0_48
| ~ spl0_9
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f795,f57,f72,f792,f775,f778,f103,f67]) ).
fof(f799,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| growth_rate(first_movers,sk2(sk3)) = zero
| greater(growth_rate(first_movers,sk2(sk3)),zero)
| greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ spl0_9
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f571,f33]) ).
fof(f800,plain,
( ~ spl0_0
| ~ spl0_3
| spl0_50
| spl0_49
| spl0_48
| ~ spl0_9
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f799,f57,f72,f792,f785,f778,f103,f67]) ).
fof(f801,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| growth_rate(first_movers,sk2(sk3)) = zero
| greater(growth_rate(first_movers,sk2(sk3)),zero)
| greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| ~ spl0_9
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f571,f31]) ).
fof(f802,plain,
( ~ spl0_0
| ~ spl0_3
| spl0_50
| spl0_49
| spl0_45
| ~ spl0_9
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f801,f57,f72,f792,f785,f724,f103,f67]) ).
fof(f803,plain,
( spl0_51
<=> greater_or_equal(sk2(sk3),sk1(sk3)) ),
introduced(split_symbol_definition) ).
fof(f805,plain,
( ~ greater_or_equal(sk2(sk3),sk1(sk3))
| spl0_51 ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,plain,
( spl0_52
<=> greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
introduced(split_symbol_definition) ).
fof(f807,plain,
( greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| ~ greater_or_equal(sk2(sk3),sk1(sk3))
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| ~ spl0_9
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f571,f48]) ).
fof(f810,plain,
( ~ spl0_0
| ~ spl0_17
| ~ spl0_51
| spl0_52
| ~ spl0_9
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f809,f57,f147,f803,f806,f103,f67]) ).
fof(f811,plain,
( ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| ~ spl0_42
| spl0_51 ),
inference(forward_demodulation,[status(thm)],[f435,f805]) ).
fof(f812,plain,
( $false
| ~ spl0_3
| ~ spl0_42
| spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f811,f73]) ).
fof(f813,plain,
( ~ spl0_3
| ~ spl0_42
| spl0_51 ),
inference(contradiction_clause,[status(thm)],[f812]) ).
fof(f815,plain,
( spl0_37
| ~ spl0_7
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f699,f321,f95,f124]) ).
fof(f818,plain,
( greater_or_equal(sk1(sk3),equilibrium(sk3))
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f96,f111]) ).
fof(f836,plain,
( greater(growth_rate(efficient_producers,sk1(sk3)),zero)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f96,f125]) ).
fof(f851,plain,
( $false
| ~ spl0_9
| spl0_21
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f773,f570]) ).
fof(f852,plain,
( ~ spl0_9
| spl0_21
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f851]) ).
fof(f862,plain,
( spl0_53
<=> greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
introduced(split_symbol_definition) ).
fof(f864,plain,
( ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| spl0_53 ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,plain,
( spl0_54
<=> growth_rate(efficient_producers,sk1(sk3)) = zero ),
introduced(split_symbol_definition) ).
fof(f866,plain,
( growth_rate(efficient_producers,sk1(sk3)) = zero
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,plain,
( spl0_55
<=> greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
introduced(split_symbol_definition) ).
fof(f869,plain,
( greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,plain,
( spl0_56
<=> greater(zero,growth_rate(first_movers,sk1(sk3))) ),
introduced(split_symbol_definition) ).
fof(f872,plain,
( greater(zero,growth_rate(first_movers,sk1(sk3)))
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f874,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| greater(zero,growth_rate(first_movers,sk1(sk3)))
| ~ spl0_7
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f310,f45]) ).
fof(f875,plain,
( ~ spl0_0
| ~ spl0_53
| spl0_54
| spl0_55
| spl0_56
| ~ spl0_7
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f874,f57,f862,f865,f868,f871,f95,f60]) ).
fof(f876,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| greater(growth_rate(efficient_producers,sk1(sk3)),zero)
| ~ spl0_7
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f310,f43]) ).
fof(f877,plain,
( ~ spl0_0
| ~ spl0_53
| spl0_54
| spl0_55
| spl0_37
| ~ spl0_7
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f876,f57,f862,f865,f868,f321,f95,f60]) ).
fof(f878,plain,
( spl0_57
<=> greater(growth_rate(first_movers,sk1(sk3)),zero) ),
introduced(split_symbol_definition) ).
fof(f879,plain,
( greater(growth_rate(first_movers,sk1(sk3)),zero)
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f896,plain,
( spl0_59
<=> greater_or_equal(sk1(sk3),sk1(sk3)) ),
introduced(split_symbol_definition) ).
fof(f898,plain,
( ~ greater_or_equal(sk1(sk3),sk1(sk3))
| spl0_59 ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f899,plain,
( spl0_60
<=> greater(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3))) ),
introduced(split_symbol_definition) ).
fof(f902,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| ~ greater_or_equal(sk1(sk3),sk1(sk3))
| greater(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3)))
| ~ spl0_7
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f310,f48]) ).
fof(f903,plain,
( ~ spl0_0
| ~ spl0_17
| ~ spl0_59
| spl0_60
| ~ spl0_7
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f902,f57,f147,f896,f899,f95,f60]) ).
fof(f904,plain,
( $false
| spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f898,f56]) ).
fof(f905,plain,
spl0_59,
inference(contradiction_clause,[status(thm)],[f904]) ).
fof(f906,plain,
( $false
| ~ spl0_7
| ~ spl0_10
| spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f864,f818]) ).
fof(f907,plain,
( ~ spl0_7
| ~ spl0_10
| spl0_53 ),
inference(contradiction_clause,[status(thm)],[f906]) ).
fof(f909,plain,
( $false
| ~ spl0_7
| spl0_11
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f866,f307]) ).
fof(f910,plain,
( ~ spl0_7
| spl0_11
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f909]) ).
fof(f920,plain,
( greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| ~ spl0_50
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f793,f807]) ).
fof(f921,plain,
( spl0_45
| ~ spl0_50
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f920,f724,f792,f806]) ).
fof(f922,plain,
( zero != zero
| ~ spl0_50
| ~ spl0_9
| spl0_26 ),
inference(forward_demodulation,[status(thm)],[f793,f685]) ).
fof(f923,plain,
( $false
| ~ spl0_50
| ~ spl0_9
| spl0_26 ),
inference(trivial_equality_resolution,[status(esa)],[f922]) ).
fof(f924,plain,
( ~ spl0_50
| ~ spl0_9
| spl0_26 ),
inference(contradiction_clause,[status(thm)],[f923]) ).
fof(f925,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| ~ spl0_7
| spl0_12 ),
inference(forward_demodulation,[status(thm)],[f96,f118]) ).
fof(f926,plain,
( $false
| ~ spl0_55
| ~ spl0_7
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f925,f869]) ).
fof(f927,plain,
( ~ spl0_55
| ~ spl0_7
| spl0_12 ),
inference(contradiction_clause,[status(thm)],[f926]) ).
fof(f928,plain,
( $false
| ~ spl0_29
| spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f805,f326]) ).
fof(f929,plain,
( ~ spl0_29
| spl0_51 ),
inference(contradiction_clause,[status(thm)],[f928]) ).
fof(f937,plain,
( ~ greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
| ~ spl0_42
| spl0_14 ),
inference(forward_demodulation,[status(thm)],[f435,f126]) ).
fof(f957,plain,
( greater(zero,zero)
| ~ spl0_26
| ~ spl0_9
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f674,f569]) ).
fof(f958,plain,
( $false
| spl0_23
| ~ spl0_26
| ~ spl0_9
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f957,f262]) ).
fof(f959,plain,
( spl0_23
| ~ spl0_26
| ~ spl0_9
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f958]) ).
fof(f970,plain,
( growth_rate(first_movers,sk4(equilibrium(sk3))) != zero
| ~ spl0_42
| spl0_16 ),
inference(forward_demodulation,[status(thm)],[f435,f138]) ).
fof(f973,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),X0)
| greater(zero,X0)
| ~ spl0_42
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f435,f546]) ).
fof(f974,plain,
( ~ greater(growth_rate(efficient_producers,equilibrium(sk3)),zero)
| ~ spl0_42
| spl0_37 ),
inference(forward_demodulation,[status(thm)],[f435,f323]) ).
fof(f979,plain,
( growth_rate(efficient_producers,sk4(equilibrium(sk3))) != zero
| ~ spl0_42
| spl0_11 ),
inference(forward_demodulation,[status(thm)],[f435,f115]) ).
fof(f981,plain,
( spl0_61
<=> greater(equilibrium(sk3),sk2(sk3)) ),
introduced(split_symbol_definition) ).
fof(f982,plain,
( greater(equilibrium(sk3),sk2(sk3))
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f991,plain,
( spl0_29
| ~ spl0_30
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f272,f207,f210,f228]) ).
fof(f992,plain,
( spl0_53
| ~ spl0_30
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f285,f862,f210,f72]) ).
fof(f994,plain,
( equilibrium(sk3) = sk1(sk3)
| ~ spl0_5
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f87,f211]) ).
fof(f995,plain,
( spl0_42
| ~ spl0_5
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f994,f434,f86,f210]) ).
fof(f996,plain,
( $false
| ~ spl0_56
| ~ spl0_7
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f700,f872]) ).
fof(f997,plain,
( ~ spl0_56
| ~ spl0_7
| spl0_13 ),
inference(contradiction_clause,[status(thm)],[f996]) ).
fof(f1069,plain,
( spl0_62
<=> greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3)) ),
introduced(split_symbol_definition) ).
fof(f1070,plain,
( greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f1069]) ).
fof(f1071,plain,
( ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| spl0_62 ),
inference(component_clause,[status(thm)],[f1069]) ).
fof(f1072,plain,
( spl0_63
<=> growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero ),
introduced(split_symbol_definition) ).
fof(f1073,plain,
( growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f1072]) ).
fof(f1074,plain,
( growth_rate(efficient_producers,sk4(equilibrium(sk3))) != zero
| spl0_63 ),
inference(component_clause,[status(thm)],[f1072]) ).
fof(f1075,plain,
( spl0_64
<=> greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3)))) ),
introduced(split_symbol_definition) ).
fof(f1076,plain,
( greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3))))
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,plain,
( spl0_65
<=> greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
introduced(split_symbol_definition) ).
fof(f1079,plain,
( greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1080,plain,
( ~ greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
| spl0_65 ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1083,plain,
( spl0_66
<=> greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
introduced(split_symbol_definition) ).
fof(f1084,plain,
( greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f1083]) ).
fof(f1085,plain,
( ~ greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
| spl0_66 ),
inference(component_clause,[status(thm)],[f1083]) ).
fof(f1086,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3))))
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
| ~ spl0_42
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f440,f43]) ).
fof(f1087,plain,
( ~ spl0_0
| ~ spl0_62
| spl0_63
| spl0_64
| spl0_66
| ~ spl0_42
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1086,f57,f1069,f1072,f1075,f1083,f434,f60]) ).
fof(f1088,plain,
( spl0_67
<=> greater(growth_rate(first_movers,sk4(equilibrium(sk3))),zero) ),
introduced(split_symbol_definition) ).
fof(f1089,plain,
( greater(growth_rate(first_movers,sk4(equilibrium(sk3))),zero)
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f1088]) ).
fof(f1093,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(growth_rate(first_movers,sk4(equilibrium(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
| ~ spl0_42
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f440,f39]) ).
fof(f1094,plain,
( ~ spl0_0
| ~ spl0_62
| spl0_63
| spl0_67
| spl0_66
| ~ spl0_42
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1093,f57,f1069,f1072,f1088,f1083,f434,f60]) ).
fof(f1095,plain,
( spl0_68
<=> growth_rate(first_movers,sk4(equilibrium(sk3))) = zero ),
introduced(split_symbol_definition) ).
fof(f1096,plain,
( growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1100,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3))))
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
| ~ spl0_42
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f440,f35]) ).
fof(f1101,plain,
( ~ spl0_0
| ~ spl0_62
| spl0_68
| spl0_64
| spl0_66
| ~ spl0_42
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1100,f57,f1069,f1095,f1075,f1083,f434,f60]) ).
fof(f1104,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(growth_rate(first_movers,sk4(equilibrium(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
| ~ spl0_42
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f440,f31]) ).
fof(f1105,plain,
( ~ spl0_0
| ~ spl0_62
| spl0_68
| spl0_67
| spl0_66
| ~ spl0_42
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1104,f57,f1069,f1095,f1088,f1083,f434,f60]) ).
fof(f1106,plain,
( spl0_69
<=> greater_or_equal(sk4(equilibrium(sk3)),sk1(sk3)) ),
introduced(split_symbol_definition) ).
fof(f1108,plain,
( ~ greater_or_equal(sk4(equilibrium(sk3)),sk1(sk3))
| spl0_69 ),
inference(component_clause,[status(thm)],[f1106]) ).
fof(f1109,plain,
( spl0_70
<=> greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
introduced(split_symbol_definition) ).
fof(f1110,plain,
( greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3))))
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f1109]) ).
fof(f1112,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| ~ greater_or_equal(sk4(equilibrium(sk3)),sk1(sk3))
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3))))
| ~ spl0_42
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f440,f48]) ).
fof(f1113,plain,
( ~ spl0_0
| ~ spl0_17
| ~ spl0_69
| spl0_70
| ~ spl0_42
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1112,f57,f147,f1106,f1109,f434,f60]) ).
fof(f1114,plain,
( ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| ~ spl0_42
| spl0_69 ),
inference(forward_demodulation,[status(thm)],[f435,f1108]) ).
fof(f1115,plain,
( $false
| ~ spl0_1
| ~ spl0_42
| spl0_69 ),
inference(forward_subsumption_resolution,[status(thm)],[f1114,f445]) ).
fof(f1116,plain,
( ~ spl0_1
| ~ spl0_42
| spl0_69 ),
inference(contradiction_clause,[status(thm)],[f1115]) ).
fof(f1117,plain,
( $false
| ~ spl0_42
| ~ spl0_1
| spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f1071,f445]) ).
fof(f1118,plain,
( ~ spl0_42
| ~ spl0_1
| spl0_62 ),
inference(contradiction_clause,[status(thm)],[f1117]) ).
fof(f1119,plain,
( $false
| ~ spl0_42
| spl0_16
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f1096,f970]) ).
fof(f1120,plain,
( ~ spl0_42
| spl0_16
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f1119]) ).
fof(f1121,plain,
( spl0_71
<=> greater(sk4(equilibrium(sk3)),equilibrium(sk3)) ),
introduced(split_symbol_definition) ).
fof(f1122,plain,
( greater(sk4(equilibrium(sk3)),equilibrium(sk3))
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1124,plain,
( spl0_72
<=> sk4(equilibrium(sk3)) = equilibrium(sk3) ),
introduced(split_symbol_definition) ).
fof(f1125,plain,
( sk4(equilibrium(sk3)) = equilibrium(sk3)
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f1124]) ).
fof(f1127,plain,
( greater(sk4(equilibrium(sk3)),equilibrium(sk3))
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| ~ spl0_42
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f445,f27]) ).
fof(f1128,plain,
( spl0_71
| spl0_72
| ~ spl0_42
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1127,f1121,f1124,f434,f60]) ).
fof(f1165,plain,
( spl0_73
<=> greater(equilibrium(sk3),equilibrium(sk3)) ),
introduced(split_symbol_definition) ).
fof(f1166,plain,
( greater(equilibrium(sk3),equilibrium(sk3))
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f1165]) ).
fof(f1168,plain,
( spl0_74
<=> equilibrium(sk3) = equilibrium(sk3) ),
introduced(split_symbol_definition) ).
fof(f1171,plain,
( greater(equilibrium(sk3),equilibrium(sk3))
| equilibrium(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),equilibrium(sk3))
| ~ spl0_42
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f667,f632]) ).
fof(f1172,plain,
( spl0_73
| spl0_74
| ~ spl0_42
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1171,f1165,f1168,f434,f60]) ).
fof(f1173,plain,
( $false
| ~ spl0_42
| spl0_41
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f1166,f755]) ).
fof(f1174,plain,
( ~ spl0_42
| spl0_41
| ~ spl0_73 ),
inference(contradiction_clause,[status(thm)],[f1173]) ).
fof(f1181,plain,
( greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| ~ spl0_42
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f641,f27]) ).
fof(f1182,plain,
( spl0_66
| spl0_63
| ~ spl0_42
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f1181,f1083,f1072,f434,f124]) ).
fof(f1183,plain,
( $false
| ~ spl0_42
| spl0_11
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f1073,f979]) ).
fof(f1184,plain,
( ~ spl0_42
| spl0_11
| ~ spl0_63 ),
inference(contradiction_clause,[status(thm)],[f1183]) ).
fof(f1185,plain,
( spl0_75
<=> in_environment(sk3,equilibrium(sk3)) ),
introduced(split_symbol_definition) ).
fof(f1187,plain,
( ~ in_environment(sk3,equilibrium(sk3))
| spl0_75 ),
inference(component_clause,[status(thm)],[f1185]) ).
fof(f1188,plain,
( ~ in_environment(sk3,equilibrium(sk3))
| ~ greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
| ~ spl0_66 ),
inference(resolution,[status(thm)],[f1084,f55]) ).
fof(f1189,plain,
( ~ spl0_75
| ~ spl0_65
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f1188,f1185,f1078,f1083]) ).
fof(f1192,plain,
( $false
| ~ spl0_42
| ~ spl0_1
| spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f1187,f632]) ).
fof(f1193,plain,
( ~ spl0_42
| ~ spl0_1
| spl0_75 ),
inference(contradiction_clause,[status(thm)],[f1192]) ).
fof(f1197,plain,
( ~ greater_or_equal(equilibrium(sk3),equilibrium(sk3))
| ~ spl0_42
| spl0_53 ),
inference(forward_demodulation,[status(thm)],[f435,f864]) ).
fof(f1198,plain,
( $false
| ~ spl0_42
| spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f1197,f56]) ).
fof(f1199,plain,
( ~ spl0_42
| spl0_53 ),
inference(contradiction_clause,[status(thm)],[f1198]) ).
fof(f1209,plain,
( growth_rate(efficient_producers,equilibrium(sk3)) != zero
| ~ spl0_72
| spl0_63 ),
inference(forward_demodulation,[status(thm)],[f1125,f1074]) ).
fof(f1210,plain,
( greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
| ~ spl0_42
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f435,f120]) ).
fof(f1212,plain,
( growth_rate(efficient_producers,equilibrium(sk3)) = zero
| ~ spl0_42
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f435,f866]) ).
fof(f1213,plain,
( $false
| ~ spl0_72
| spl0_63
| ~ spl0_42
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f1212,f1209]) ).
fof(f1214,plain,
( ~ spl0_72
| spl0_63
| ~ spl0_42
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f1213]) ).
fof(f1215,plain,
( $false
| ~ spl0_9
| spl0_23
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f779,f759]) ).
fof(f1216,plain,
( ~ spl0_9
| spl0_23
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f1215]) ).
fof(f1220,plain,
( $false
| ~ spl0_42
| spl0_37
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f974]) ).
fof(f1221,plain,
( ~ spl0_42
| spl0_37
| ~ spl0_40 ),
inference(contradiction_clause,[status(thm)],[f1220]) ).
fof(f1227,plain,
( greater_or_equal(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
| ~ spl0_42
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f1210,f28]) ).
fof(f1256,plain,
! [X0] :
( ~ greater(growth_rate(first_movers,sk2(sk3)),X0)
| greater(growth_rate(efficient_producers,sk2(sk3)),X0)
| ~ spl0_9
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f585,f24]) ).
fof(f1259,plain,
( greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
| zero = growth_rate(first_movers,sk4(equilibrium(sk3)))
| ~ spl0_42
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f1227,f27]) ).
fof(f1260,plain,
( spl0_65
| spl0_68
| ~ spl0_42
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1259,f1078,f1095,f434,f119]) ).
fof(f1262,plain,
( $false
| ~ spl0_42
| spl0_14
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f1084,f937]) ).
fof(f1263,plain,
( ~ spl0_42
| spl0_14
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f1262]) ).
fof(f1274,plain,
( greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ spl0_22
| ~ spl0_9
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f580,f585]) ).
fof(f1275,plain,
( spl0_48
| ~ spl0_22
| ~ spl0_9
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1274,f778,f168,f103,f202]) ).
fof(f1287,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sk1(sk3)),X0)
| greater(zero,X0)
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f96,f546]) ).
fof(f1292,plain,
( greater_or_equal(sk2(sk3),sk1(sk3))
| ~ spl0_9
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f104,f200]) ).
fof(f1293,plain,
! [X0] :
( ~ greater(equilibrium(sk3),X0)
| greater(sk2(sk3),X0)
| ~ spl0_9
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f104,f425]) ).
fof(f1310,plain,
( ~ greater(zero,zero)
| ~ spl0_63
| spl0_66 ),
inference(backward_demodulation,[status(thm)],[f1073,f1085]) ).
fof(f1311,plain,
( greater(zero,zero)
| ~ spl0_68
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f1096,f1079]) ).
fof(f1312,plain,
( $false
| ~ spl0_63
| spl0_66
| ~ spl0_68
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f1311,f1310]) ).
fof(f1313,plain,
( ~ spl0_63
| spl0_66
| ~ spl0_68
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f1312]) ).
fof(f1314,plain,
( ~ greater(growth_rate(first_movers,sk1(sk3)),zero)
| ~ spl0_7
| spl0_15 ),
inference(forward_demodulation,[status(thm)],[f96,f131]) ).
fof(f1315,plain,
( $false
| ~ spl0_57
| ~ spl0_7
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1314,f879]) ).
fof(f1316,plain,
( ~ spl0_57
| ~ spl0_7
| spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1315]) ).
fof(f1322,plain,
( greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
| ~ spl0_63
| ~ spl0_70 ),
inference(backward_demodulation,[status(thm)],[f1073,f1110]) ).
fof(f1323,plain,
( spl0_65
| ~ spl0_63
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f1322,f1078,f1072,f1109]) ).
fof(f1324,plain,
( greater(zero,zero)
| ~ spl0_63
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f1073,f1076]) ).
fof(f1326,plain,
( ~ greater(zero,zero)
| ~ spl0_68
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f1096,f1080]) ).
fof(f1327,plain,
( $false
| ~ spl0_63
| ~ spl0_64
| ~ spl0_68
| spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f1326,f1324]) ).
fof(f1328,plain,
( ~ spl0_63
| ~ spl0_64
| ~ spl0_68
| spl0_65 ),
inference(contradiction_clause,[status(thm)],[f1327]) ).
fof(f1360,plain,
( greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f1122,f28]) ).
fof(f1361,plain,
( spl0_62
| ~ spl0_71 ),
inference(split_clause,[status(thm)],[f1360,f1069,f1121]) ).
fof(f1365,plain,
( greater(sk2(sk3),sk1(sk3))
| sk2(sk3) = sk1(sk3)
| ~ spl0_9
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f1292,f27]) ).
fof(f1366,plain,
( spl0_29
| spl0_30
| ~ spl0_9
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1365,f207,f210,f103,f199]) ).
fof(f1383,plain,
( greater(sk4(equilibrium(sk3)),equilibrium(sk3))
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| ~ spl0_62 ),
inference(resolution,[status(thm)],[f1070,f27]) ).
fof(f1384,plain,
( spl0_71
| spl0_72
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1383,f1121,f1124,f1069]) ).
fof(f1388,plain,
( greater(sk2(sk3),sk2(sk3))
| ~ spl0_9
| ~ spl0_38
| ~ spl0_61 ),
inference(resolution,[status(thm)],[f1293,f982]) ).
fof(f1389,plain,
( spl0_34
| ~ spl0_9
| ~ spl0_38
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1388,f228,f103,f355,f981]) ).
fof(f1391,plain,
! [X0] :
( ~ greater(zero,X0)
| greater(growth_rate(first_movers,sk4(equilibrium(sk3))),X0)
| ~ spl0_67 ),
inference(resolution,[status(thm)],[f1089,f24]) ).
fof(f1401,plain,
( greater(growth_rate(first_movers,sk2(sk3)),growth_rate(efficient_producers,sk2(sk3)))
| ~ spl0_9
| ~ spl0_25
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f579,f776]) ).
fof(f1406,plain,
( spl0_76
<=> growth_rate(efficient_producers,sk2(sk3)) = growth_rate(first_movers,sk2(sk3)) ),
introduced(split_symbol_definition) ).
fof(f1407,plain,
( growth_rate(efficient_producers,sk2(sk3)) = growth_rate(first_movers,sk2(sk3))
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f1406]) ).
fof(f1412,plain,
( ~ greater(growth_rate(first_movers,sk2(sk3)),zero)
| ~ spl0_76
| spl0_45 ),
inference(backward_demodulation,[status(thm)],[f1407,f726]) ).
fof(f1413,plain,
( $false
| ~ spl0_49
| ~ spl0_76
| spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f1412,f786]) ).
fof(f1414,plain,
( ~ spl0_49
| ~ spl0_76
| spl0_45 ),
inference(contradiction_clause,[status(thm)],[f1413]) ).
fof(f1421,plain,
( greater(zero,growth_rate(first_movers,sk1(sk3)))
| ~ spl0_12
| ~ spl0_7
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f1287,f695]) ).
fof(f1422,plain,
( spl0_56
| ~ spl0_12
| ~ spl0_7
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1421,f871,f116,f95,f153]) ).
fof(f1428,plain,
( spl0_77
<=> growth_rate(efficient_producers,sk1(sk3)) = growth_rate(first_movers,sk1(sk3)) ),
introduced(split_symbol_definition) ).
fof(f1429,plain,
( growth_rate(efficient_producers,sk1(sk3)) = growth_rate(first_movers,sk1(sk3))
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f1428]) ).
fof(f1437,plain,
( greater(growth_rate(first_movers,sk1(sk3)),zero)
| ~ spl0_77
| ~ spl0_7
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f1429,f836]) ).
fof(f1438,plain,
( spl0_57
| ~ spl0_77
| ~ spl0_7
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f1437,f878,f1428,f95,f124]) ).
fof(f1453,plain,
( greater(growth_rate(first_movers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk2(sk3)))
| ~ spl0_67
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f1391,f779]) ).
fof(f1461,plain,
( greater_or_equal(growth_rate(first_movers,sk2(sk3)),growth_rate(efficient_producers,sk2(sk3)))
| ~ spl0_9
| ~ spl0_25
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f1401,f28]) ).
fof(f1472,plain,
( spl0_78
<=> greater(growth_rate(first_movers,sk2(sk3)),growth_rate(efficient_producers,sk2(sk3))) ),
introduced(split_symbol_definition) ).
fof(f1473,plain,
( greater(growth_rate(first_movers,sk2(sk3)),growth_rate(efficient_producers,sk2(sk3)))
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1475,plain,
( greater(growth_rate(first_movers,sk2(sk3)),growth_rate(efficient_producers,sk2(sk3)))
| growth_rate(first_movers,sk2(sk3)) = growth_rate(efficient_producers,sk2(sk3))
| ~ spl0_9
| ~ spl0_25
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f1461,f27]) ).
fof(f1476,plain,
( spl0_78
| spl0_76
| ~ spl0_9
| ~ spl0_25
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1475,f1472,f1406,f103,f181,f775]) ).
fof(f1480,plain,
( spl0_80
<=> growth_rate(first_movers,sk2(sk3)) = growth_rate(efficient_producers,sk1(sk3)) ),
introduced(split_symbol_definition) ).
fof(f1481,plain,
( growth_rate(first_movers,sk2(sk3)) = growth_rate(efficient_producers,sk1(sk3))
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f1480]) ).
fof(f1486,plain,
( ~ greater(growth_rate(first_movers,sk2(sk3)),zero)
| ~ spl0_80
| spl0_37 ),
inference(backward_demodulation,[status(thm)],[f1481,f323]) ).
fof(f1487,plain,
( $false
| ~ spl0_49
| ~ spl0_80
| spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f1486,f786]) ).
fof(f1488,plain,
( ~ spl0_49
| ~ spl0_80
| spl0_37 ),
inference(contradiction_clause,[status(thm)],[f1487]) ).
fof(f1557,plain,
( ~ in_environment(sk3,equilibrium(sk3))
| ~ greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
| ~ spl0_42
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f642,f55]) ).
fof(f1558,plain,
( ~ spl0_75
| ~ spl0_65
| ~ spl0_42
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f1557,f1185,f1078,f434,f124]) ).
fof(f1561,plain,
( greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,sk2(sk3)))
| ~ spl0_40
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f500,f779]) ).
fof(f1563,plain,
( greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(efficient_producers,sk2(sk3)))
| ~ spl0_40
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f500,f776]) ).
fof(f1564,plain,
( greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
| ~ spl0_19
| ~ spl0_42
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f637,f973]) ).
fof(f1565,plain,
( spl0_65
| ~ spl0_19
| ~ spl0_42
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1564,f1078,f153,f434,f116]) ).
fof(f1575,plain,
( greater_or_equal(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,sk2(sk3)))
| ~ spl0_40
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f1561,f28]) ).
fof(f1579,plain,
( spl0_82
<=> greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,sk2(sk3))) ),
introduced(split_symbol_definition) ).
fof(f1582,plain,
( spl0_83
<=> growth_rate(efficient_producers,equilibrium(sk3)) = growth_rate(first_movers,sk2(sk3)) ),
introduced(split_symbol_definition) ).
fof(f1583,plain,
( growth_rate(efficient_producers,equilibrium(sk3)) = growth_rate(first_movers,sk2(sk3))
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f1582]) ).
fof(f1585,plain,
( greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,sk2(sk3)))
| growth_rate(efficient_producers,equilibrium(sk3)) = growth_rate(first_movers,sk2(sk3))
| ~ spl0_40
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f1575,f27]) ).
fof(f1586,plain,
( spl0_82
| spl0_83
| ~ spl0_40
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f1585,f1579,f1582,f373,f778]) ).
fof(f1587,plain,
( spl0_84
<=> greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(efficient_producers,sk2(sk3))) ),
introduced(split_symbol_definition) ).
fof(f1588,plain,
( greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(efficient_producers,sk2(sk3)))
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f1587]) ).
fof(f1590,plain,
( spl0_85
<=> growth_rate(efficient_producers,equilibrium(sk3)) = growth_rate(efficient_producers,sk2(sk3)) ),
introduced(split_symbol_definition) ).
fof(f1591,plain,
( growth_rate(efficient_producers,equilibrium(sk3)) = growth_rate(efficient_producers,sk2(sk3))
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1596,plain,
( greater_or_equal(growth_rate(first_movers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk2(sk3)))
| ~ spl0_67
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f1453,f28]) ).
fof(f1611,plain,
( spl0_86
<=> greater(growth_rate(first_movers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk2(sk3))) ),
introduced(split_symbol_definition) ).
fof(f1614,plain,
( spl0_87
<=> growth_rate(first_movers,sk4(equilibrium(sk3))) = growth_rate(first_movers,sk2(sk3)) ),
introduced(split_symbol_definition) ).
fof(f1615,plain,
( growth_rate(first_movers,sk4(equilibrium(sk3))) = growth_rate(first_movers,sk2(sk3))
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f1614]) ).
fof(f1617,plain,
( greater(growth_rate(first_movers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk2(sk3)))
| growth_rate(first_movers,sk4(equilibrium(sk3))) = growth_rate(first_movers,sk2(sk3))
| ~ spl0_67
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f1596,f27]) ).
fof(f1618,plain,
( spl0_86
| spl0_87
| ~ spl0_67
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f1617,f1611,f1614,f1088,f778]) ).
fof(f1623,plain,
( greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| ~ spl0_9
| ~ spl0_28
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f1256,f786]) ).
fof(f1624,plain,
( spl0_45
| ~ spl0_9
| ~ spl0_28
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f1623,f724,f103,f202,f785]) ).
fof(f1625,plain,
( greater(growth_rate(first_movers,sk2(sk3)),growth_rate(efficient_producers,sk2(sk3)))
| ~ spl0_83
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f1583,f1588]) ).
fof(f1626,plain,
( greater(growth_rate(first_movers,sk2(sk3)),growth_rate(efficient_producers,equilibrium(sk3)))
| ~ spl0_85
| ~ spl0_83
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f1591,f1625]) ).
fof(f1627,plain,
( greater(growth_rate(first_movers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| ~ spl0_85
| ~ spl0_83
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f1583,f1626]) ).
fof(f1629,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_9
| spl0_28 ),
inference(forward_demodulation,[status(thm)],[f104,f204]) ).
fof(f1630,plain,
( ~ greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_85
| ~ spl0_9
| spl0_28 ),
inference(forward_demodulation,[status(thm)],[f1591,f1629]) ).
fof(f1631,plain,
( ~ greater(growth_rate(first_movers,sk2(sk3)),growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_83
| ~ spl0_85
| ~ spl0_9
| spl0_28 ),
inference(forward_demodulation,[status(thm)],[f1583,f1630]) ).
fof(f1632,plain,
( ~ greater(growth_rate(first_movers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| ~ spl0_83
| ~ spl0_85
| ~ spl0_9
| spl0_28 ),
inference(forward_demodulation,[status(thm)],[f104,f1631]) ).
fof(f1633,plain,
( $false
| ~ spl0_84
| ~ spl0_83
| ~ spl0_85
| ~ spl0_9
| spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f1632,f1627]) ).
fof(f1634,plain,
( ~ spl0_84
| ~ spl0_83
| ~ spl0_85
| ~ spl0_9
| spl0_28 ),
inference(contradiction_clause,[status(thm)],[f1633]) ).
fof(f1657,plain,
( greater(growth_rate(first_movers,sk2(sk3)),zero)
| ~ spl0_46
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f773,f1473]) ).
fof(f1658,plain,
( $false
| ~ spl0_46
| ~ spl0_78
| spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f787,f1657]) ).
fof(f1659,plain,
( ~ spl0_46
| ~ spl0_78
| spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1658]) ).
fof(f1662,plain,
( ~ greater(growth_rate(first_movers,sk2(sk3)),zero)
| ~ spl0_9
| spl0_25 ),
inference(forward_demodulation,[status(thm)],[f104,f183]) ).
fof(f1666,plain,
( greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ spl0_87
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f1615,f1079]) ).
fof(f1667,plain,
( spl0_48
| ~ spl0_87
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f1666,f778,f1614,f1078]) ).
fof(f1676,plain,
( greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| ~ spl0_9
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f104,f177]) ).
fof(f1677,plain,
( greater(zero,zero)
| ~ spl0_46
| ~ spl0_9
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f773,f1676]) ).
fof(f1678,plain,
( $false
| ~ spl0_26
| spl0_23
| ~ spl0_46
| ~ spl0_9
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f1677,f262]) ).
fof(f1679,plain,
( ~ spl0_26
| spl0_23
| ~ spl0_46
| ~ spl0_9
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f1678]) ).
fof(f1680,plain,
( greater(zero,zero)
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f773,f776]) ).
fof(f1681,plain,
( $false
| ~ spl0_26
| spl0_23
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1680,f262]) ).
fof(f1682,plain,
( ~ spl0_26
| spl0_23
| ~ spl0_46
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1681]) ).
fof(f1696,plain,
( spl0_36
| ~ spl0_21
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f493,f245,f165,f168]) ).
fof(f1711,plain,
( ~ greater(zero,zero)
| ~ spl0_9
| ~ spl0_26
| spl0_49 ),
inference(forward_demodulation,[status(thm)],[f674,f787]) ).
fof(f1713,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| ~ spl0_9
| spl0_24 ),
inference(forward_demodulation,[status(thm)],[f104,f178]) ).
fof(f1714,plain,
( greater(zero,zero)
| ~ spl0_26
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f674,f581]) ).
fof(f1715,plain,
( $false
| spl0_49
| ~ spl0_26
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1714,f1711]) ).
fof(f1716,plain,
( spl0_49
| ~ spl0_26
| ~ spl0_9
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f1715]) ).
fof(f1720,plain,
( ~ spl0_36
| ~ spl0_26
| spl0_23 ),
inference(split_clause,[status(thm)],[f262,f245,f188,f171]) ).
fof(f1724,plain,
( greater(zero,zero)
| ~ spl0_46
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f773,f725]) ).
fof(f1725,plain,
( $false
| ~ spl0_9
| ~ spl0_26
| spl0_49
| ~ spl0_46
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f1724,f1711]) ).
fof(f1726,plain,
( ~ spl0_9
| ~ spl0_26
| spl0_49
| ~ spl0_46
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f1725]) ).
fof(f1817,plain,
( spl0_84
| ~ spl0_40
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1563,f1587,f373,f775]) ).
fof(f1826,plain,
( ~ spl0_36
| ~ spl0_16
| spl0_13 ),
inference(split_clause,[status(thm)],[f523,f245,f136,f119]) ).
fof(f1834,plain,
( greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f114,f154]) ).
fof(f1835,plain,
( $false
| spl0_13
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f1834,f121]) ).
fof(f1836,plain,
( spl0_13
| ~ spl0_11
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f1835]) ).
fof(f1842,plain,
( ~ spl0_45
| ~ spl0_9
| spl0_24 ),
inference(split_clause,[status(thm)],[f1713,f724,f103,f176]) ).
fof(f1844,plain,
( ~ spl0_49
| ~ spl0_9
| spl0_25 ),
inference(split_clause,[status(thm)],[f1662,f785,f103,f181]) ).
fof(f1851,plain,
( greater(zero,zero)
| ~ spl0_9
| ~ spl0_26
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f674,f786]) ).
fof(f1852,plain,
( spl0_36
| ~ spl0_9
| ~ spl0_26
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f1851,f245,f103,f188,f785]) ).
fof(f1915,plain,
( greater(sk4(sk1(sk3)),sk2(sk3))
| ~ spl0_6
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f108,f214]) ).
fof(f1921,plain,
( greater_or_equal(sk4(sk1(sk3)),sk2(sk3))
| ~ spl0_6
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f1915,f28]) ).
fof(f1923,plain,
( spl0_88
<=> greater(sk4(sk1(sk3)),sk2(sk3)) ),
introduced(split_symbol_definition) ).
fof(f1924,plain,
( greater(sk4(sk1(sk3)),sk2(sk3))
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f1923]) ).
fof(f1926,plain,
( spl0_89
<=> sk4(sk1(sk3)) = sk2(sk3) ),
introduced(split_symbol_definition) ).
fof(f1927,plain,
( sk4(sk1(sk3)) = sk2(sk3)
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f1926]) ).
fof(f1929,plain,
( greater(sk4(sk1(sk3)),sk2(sk3))
| sk4(sk1(sk3)) = sk2(sk3)
| ~ spl0_6
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f1921,f27]) ).
fof(f1930,plain,
( spl0_88
| spl0_89
| ~ spl0_6
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1929,f1923,f1926,f92,f213]) ).
fof(f1932,plain,
( greater(sk2(sk3),sk2(sk3))
| ~ spl0_89
| ~ spl0_6
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f1927,f1915]) ).
fof(f1933,plain,
( spl0_34
| ~ spl0_89
| ~ spl0_6
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1932,f228,f1926,f92,f213]) ).
fof(f2009,plain,
( greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_12
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f546,f154]) ).
fof(f2010,plain,
( spl0_13
| ~ spl0_12
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f2009,f119,f116,f153]) ).
fof(f2056,plain,
( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_19
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f556,f130]) ).
fof(f2057,plain,
( spl0_14
| ~ spl0_19
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f2056,f124,f153,f129]) ).
fof(f2058,plain,
( greater(zero,zero)
| ~ spl0_11
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f114,f227]) ).
fof(f2059,plain,
( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_16
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f137,f154]) ).
fof(f2060,plain,
( spl0_14
| ~ spl0_16
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f2059,f124,f136,f153]) ).
fof(f2062,plain,
( ~ greater(zero,zero)
| ~ spl0_16
| spl0_15 ),
inference(forward_demodulation,[status(thm)],[f137,f131]) ).
fof(f2063,plain,
( $false
| ~ spl0_11
| ~ spl0_19
| ~ spl0_16
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f2062,f2058]) ).
fof(f2064,plain,
( ~ spl0_11
| ~ spl0_19
| ~ spl0_16
| spl0_15 ),
inference(contradiction_clause,[status(thm)],[f2063]) ).
fof(f2066,plain,
( spl0_41
| ~ spl0_30
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f284,f431,f210,f83]) ).
fof(f2081,plain,
( greater(sk1(sk3),sk2(sk3))
| ~ spl0_7
| ~ spl0_88 ),
inference(backward_demodulation,[status(thm)],[f96,f1924]) ).
fof(f2082,plain,
( spl0_31
| ~ spl0_7
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f2081,f213,f95,f1923]) ).
fof(f2134,plain,
( spl0_93
<=> greater(sk4(sk2(sk3)),sk1(sk3)) ),
introduced(split_symbol_definition) ).
fof(f2137,plain,
( spl0_94
<=> sk4(sk2(sk3)) = sk1(sk3) ),
introduced(split_symbol_definition) ).
fof(f2138,plain,
( sk4(sk2(sk3)) = sk1(sk3)
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f2137]) ).
fof(f2140,plain,
( greater(sk4(sk2(sk3)),sk1(sk3))
| sk4(sk2(sk3)) = sk1(sk3)
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f200,f27]) ).
fof(f2141,plain,
( spl0_93
| spl0_94
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f2140,f2134,f2137,f199]) ).
fof(f2145,plain,
( greater(sk1(sk3),sk2(sk3))
| ~ spl0_94
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f2138,f101]) ).
fof(f2146,plain,
( spl0_31
| ~ spl0_94
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f2145,f213,f2137,f100]) ).
fof(f2216,plain,
( ~ in_environment(sk3,equilibrium(sk3))
| ~ greater(zero,zero)
| ~ greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3))))
| ~ spl0_63 ),
inference(paramodulation,[status(thm)],[f1073,f55]) ).
fof(f2217,plain,
( ~ spl0_75
| ~ spl0_36
| ~ spl0_65
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f2216,f1185,f245,f1078,f1072]) ).
fof(f2250,plain,
! [X0] :
( ~ greater(growth_rate(first_movers,sk4(sk2(sk3))),X0)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),X0)
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f203,f24]) ).
fof(f2303,plain,
( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ spl0_28
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f2250,f182]) ).
fof(f2304,plain,
( spl0_24
| ~ spl0_28
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2303,f176,f202,f181]) ).
fof(f2305,plain,
( greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_22
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f488,f203]) ).
fof(f2306,plain,
( spl0_23
| ~ spl0_22
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f2305,f171,f168,f202]) ).
fof(f2312,plain,
( greater(sk2(sk3),sk1(sk3))
| ~ spl0_89
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f1927,f93]) ).
fof(f2313,plain,
( spl0_29
| ~ spl0_89
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f2312,f207,f1926,f92]) ).
fof(f2323,plain,
( ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| ~ spl0_89
| spl0_10 ),
inference(forward_demodulation,[status(thm)],[f1927,f112]) ).
fof(f2324,plain,
( $false
| ~ spl0_3
| ~ spl0_89
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f2323,f73]) ).
fof(f2325,plain,
( ~ spl0_3
| ~ spl0_89
| spl0_10 ),
inference(contradiction_clause,[status(thm)],[f2324]) ).
fof(f2326,plain,
( spl0_53
| ~ spl0_5
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f291,f862,f86,f213]) ).
fof(f2327,plain,
( spl0_41
| ~ spl0_5
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f294,f431,f86,f213]) ).
fof(f2333,plain,
$false,
inference(sat_refutation,[status(thm)],[f64,f66,f71,f76,f90,f99,f107,f123,f128,f133,f135,f140,f142,f146,f157,f159,f161,f175,f180,f185,f187,f192,f194,f196,f198,f206,f217,f225,f235,f249,f252,f270,f304,f325,f362,f377,f438,f447,f469,f475,f490,f496,f520,f525,f529,f560,f563,f565,f575,f578,f597,f608,f614,f622,f627,f630,f673,f676,f684,f687,f689,f728,f782,f784,f789,f791,f796,f800,f802,f810,f813,f815,f852,f875,f877,f903,f905,f907,f910,f921,f924,f927,f929,f959,f991,f992,f995,f997,f1087,f1094,f1101,f1105,f1113,f1116,f1118,f1120,f1128,f1172,f1174,f1182,f1184,f1189,f1193,f1199,f1214,f1216,f1221,f1260,f1263,f1275,f1313,f1316,f1323,f1328,f1361,f1366,f1384,f1389,f1414,f1422,f1438,f1476,f1488,f1558,f1565,f1586,f1618,f1624,f1634,f1659,f1667,f1679,f1682,f1696,f1716,f1720,f1726,f1817,f1826,f1836,f1842,f1844,f1852,f1930,f1933,f2010,f2057,f2060,f2064,f2066,f2082,f2141,f2146,f2217,f2304,f2306,f2313,f2325,f2326,f2327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MGT029-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:59:17 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.21/0.50 % Refutation found
% 0.21/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.51 % Elapsed time: 0.159317 seconds
% 0.21/0.51 % CPU time: 1.161522 seconds
% 0.21/0.51 % Total memory used: 64.938 MB
% 0.21/0.51 % Net memory used: 63.954 MB
%------------------------------------------------------------------------------