%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT029+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:25:20 PM UTC 2026
% Result : Theorem 1.25s 0.77s
% Output : CNFRefutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 92
% Syntax : Number of formulae : 635 ( 8 unt; 85 def)
% Number of atoms : 2056 ( 143 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2538 (1117 ~;1274 |; 51 &)
% ( 86 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 93 ( 91 usr; 85 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 111 ( 103 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] :
( ( greater(Y,Z)
& greater(X,Y) )
=> greater(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [E,T1,T2] :
( ( in_environment(E,T2)
& in_environment(E,T1) )
=> ( greater(T1,T2)
| T2 = T1
| greater(T2,T1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( X = Y
| greater(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [E,T] :
( ( greater_or_equal(T,equilibrium(E))
& subpopulations(first_movers,efficient_producers,E,T)
& environment(E) )
=> ( ( greater(zero,growth_rate(first_movers,T))
& greater(growth_rate(efficient_producers,T),zero) )
| ( greater(zero,growth_rate(efficient_producers,T))
& greater(growth_rate(first_movers,T),zero) )
| ( growth_rate(efficient_producers,T) = zero
& growth_rate(first_movers,T) = zero ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
! [E] :
( ( stable(E)
& environment(E) )
=> ? [To] :
( ! [T] :
( ( greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,E,T) )
=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) )
& in_environment(E,To) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [E] :
( ( stable(E)
& environment(E) )
=> ? [T] :
( greater_or_equal(T,equilibrium(E))
& in_environment(E,T) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
! [E] :
( ( stable(E)
& environment(E) )
=> ? [To] :
( ! [T] :
( ( greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,E,T) )
=> ( greater(zero,growth_rate(first_movers,T))
& greater(growth_rate(efficient_producers,T),zero) ) )
& in_environment(E,To) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ! [E] :
( ( stable(E)
& environment(E) )
=> ? [To] :
( ! [T] :
( ( greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,E,T) )
=> ( greater(zero,growth_rate(first_movers,T))
& greater(growth_rate(efficient_producers,T),zero) ) )
& in_environment(E,To) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [X,Y,Z] :
( greater(X,Z)
| ~ greater(Y,Z)
| ~ greater(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
! [X,Z] :
( greater(X,Z)
| ! [Y] :
( ~ greater(Y,Z)
| ~ greater(X,Y) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [E,T1,T2] :
( greater(T1,T2)
| T2 = T1
| greater(T2,T1)
| ~ in_environment(E,T2)
| ~ in_environment(E,T1) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [T1,T2] :
( greater(T1,T2)
| T2 = T1
| greater(T2,T1)
| ! [E] :
( ~ in_environment(E,T2)
| ~ in_environment(E,T1) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f14,plain,
! [X0,X1,X2] :
( greater(X1,X2)
| X2 = X1
| greater(X2,X1)
| ~ in_environment(X0,X2)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
! [X,Y] :
( ( ( X != Y
& ~ greater(X,Y) )
| greater_or_equal(X,Y) )
& ( X = Y
| greater(X,Y)
| ~ greater_or_equal(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f16,plain,
( ! [X,Y] :
( ( X != Y
& ~ greater(X,Y) )
| greater_or_equal(X,Y) )
& ! [X,Y] :
( X = Y
| greater(X,Y)
| ~ greater_or_equal(X,Y) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f19,plain,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f20,plain,
! [E,T] :
( ( greater(zero,growth_rate(first_movers,T))
& greater(growth_rate(efficient_producers,T),zero) )
| ( greater(zero,growth_rate(efficient_producers,T))
& greater(growth_rate(first_movers,T),zero) )
| ( growth_rate(efficient_producers,T) = zero
& growth_rate(first_movers,T) = zero )
| ~ greater_or_equal(T,equilibrium(E))
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f21,definition,
! [T] :
( sP0_prd(T)
<=> ( ( greater(zero,growth_rate(efficient_producers,T))
& greater(growth_rate(first_movers,T),zero) )
| ( growth_rate(efficient_producers,T) = zero
& growth_rate(first_movers,T) = zero ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f22,plain,
! [E,T] :
( ( greater(zero,growth_rate(first_movers,T))
& greater(growth_rate(efficient_producers,T),zero) )
| sP0_prd(T)
| ~ greater_or_equal(T,equilibrium(E))
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ environment(E) ),
inference(formula_renaming,[status(thm)],[f20,f21]) ).
fof(f23,plain,
! [T] :
( ( greater(zero,growth_rate(first_movers,T))
& greater(growth_rate(efficient_producers,T),zero) )
| sP0_prd(T)
| ! [E] :
( ~ greater_or_equal(T,equilibrium(E))
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ environment(E) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),zero)
| sP0_prd(X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| sP0_prd(X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f26,plain,
! [E] :
( ? [To] :
( ! [T] :
( greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| ~ greater_or_equal(T,To)
| ~ subpopulations(first_movers,efficient_producers,E,T) )
& in_environment(E,To) )
| ~ stable(E)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f27,plain,
! [E] :
( ( ! [T] :
( greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| ~ greater_or_equal(T,sK0_skl(E))
| ~ subpopulations(first_movers,efficient_producers,E,T) )
& in_environment(E,sK0_skl(E)) )
| ~ stable(E)
| ~ environment(E) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(To,sK0_skl(E))],[f26]) ).
fof(f28,plain,
! [X0] :
( in_environment(X0,sK0_skl(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater_or_equal(X1,sK0_skl(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f30,plain,
! [E] :
( ? [T] :
( greater_or_equal(T,equilibrium(E))
& in_environment(E,T) )
| ~ stable(E)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f31,plain,
! [E] :
( ( greater_or_equal(sK1_skl(E),equilibrium(E))
& in_environment(E,sK1_skl(E)) )
| ~ stable(E)
| ~ environment(E) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(T,sK1_skl(E))],[f30]) ).
fof(f32,plain,
! [X0] :
( in_environment(X0,sK1_skl(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [X0] :
( greater_or_equal(sK1_skl(X0),equilibrium(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f34,plain,
? [E] :
( ! [To] :
( ? [T] :
( ( ~ greater(zero,growth_rate(first_movers,T))
| ~ greater(growth_rate(efficient_producers,T),zero) )
& greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,E,T) )
| ~ in_environment(E,To) )
& stable(E)
& environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f35,plain,
( ! [To] :
( ( ( ~ greater(zero,growth_rate(first_movers,sK3_skl(To)))
| ~ greater(growth_rate(efficient_producers,sK3_skl(To)),zero) )
& greater_or_equal(sK3_skl(To),To)
& subpopulations(first_movers,efficient_producers,sK2_skl,sK3_skl(To)) )
| ~ in_environment(sK2_skl,To) )
& stable(sK2_skl)
& environment(sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(E,sK2_skl),skolemize(T,sK3_skl(To))],[f34]) ).
fof(f36,plain,
environment(sK2_skl),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
stable(sK2_skl),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f38,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,sK2_skl,sK3_skl(X0))
| ~ in_environment(sK2_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f39,plain,
! [X0] :
( greater_or_equal(sK3_skl(X0),X0)
| ~ in_environment(sK2_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f40,plain,
! [X0] :
( ~ greater(zero,growth_rate(first_movers,sK3_skl(X0)))
| ~ greater(growth_rate(efficient_producers,sK3_skl(X0)),zero)
| ~ in_environment(sK2_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f41,plain,
! [T] :
( ( ( ( ~ greater(zero,growth_rate(efficient_producers,T))
| ~ greater(growth_rate(first_movers,T),zero) )
& ( growth_rate(efficient_producers,T) != zero
| growth_rate(first_movers,T) != zero ) )
| sP0_prd(T) )
& ( ( greater(zero,growth_rate(efficient_producers,T))
& greater(growth_rate(first_movers,T),zero) )
| ( growth_rate(efficient_producers,T) = zero
& growth_rate(first_movers,T) = zero )
| ~ sP0_prd(T) ) ),
inference(NNF_transformation,[status(thm)],[f21]) ).
fof(f42,plain,
( ! [T] :
( ( ( ~ greater(zero,growth_rate(efficient_producers,T))
| ~ greater(growth_rate(first_movers,T),zero) )
& ( growth_rate(efficient_producers,T) != zero
| growth_rate(first_movers,T) != zero ) )
| sP0_prd(T) )
& ! [T] :
( ( greater(zero,growth_rate(efficient_producers,T))
& greater(growth_rate(first_movers,T),zero) )
| ( growth_rate(efficient_producers,T) = zero
& growth_rate(first_movers,T) = zero )
| ~ sP0_prd(T) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f43,plain,
! [X0] :
( greater(growth_rate(first_movers,X0),zero)
| growth_rate(first_movers,X0) = zero
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [X0] :
( greater(zero,growth_rate(efficient_producers,X0))
| growth_rate(first_movers,X0) = zero
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f45,plain,
! [X0] :
( greater(growth_rate(first_movers,X0),zero)
| growth_rate(efficient_producers,X0) = zero
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f46,plain,
! [X0] :
( greater(zero,growth_rate(efficient_producers,X0))
| growth_rate(efficient_producers,X0) = zero
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f47,plain,
! [X0] :
( growth_rate(efficient_producers,X0) != zero
| growth_rate(first_movers,X0) != zero
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f48,plain,
! [X0] :
( ~ greater(zero,growth_rate(efficient_producers,X0))
| ~ greater(growth_rate(first_movers,X0),zero)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f49,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f19]) ).
fof(f51,plain,
( in_environment(sK2_skl,sK0_skl(sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f28,f37]) ).
fof(f52,definition,
( sQ0_spl
<=> environment(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f54,plain,
( sQ0_spl
| ~ environment(sK2_skl) ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,definition,
( sQ1_spl
<=> in_environment(sK2_skl,sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f56,plain,
( ~ sQ1_spl
| in_environment(sK2_skl,sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f58,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f51,f52,f55]) ).
fof(f59,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f54,f36]) ).
fof(f60,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f59]) ).
fof(f61,plain,
( ~ sQ1_spl
| greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f56,f39]) ).
fof(f62,plain,
( ~ sQ1_spl
| subpopulations(first_movers,efficient_producers,sK2_skl,sK3_skl(sK0_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f56,f38]) ).
fof(f63,plain,
! [X0] :
( ~ sQ1_spl
| greater(sK0_skl(sK2_skl),X0)
| X0 = sK0_skl(sK2_skl)
| greater(X0,sK0_skl(sK2_skl))
| ~ in_environment(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f56,f14]) ).
fof(f64,plain,
( in_environment(sK2_skl,sK1_skl(sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f32,f37]) ).
fof(f65,definition,
( sQ2_spl
<=> in_environment(sK2_skl,sK1_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f66,plain,
( ~ sQ2_spl
| in_environment(sK2_skl,sK1_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f68,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f64,f52,f65]) ).
fof(f69,plain,
( greater_or_equal(sK1_skl(sK2_skl),equilibrium(sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f33,f37]) ).
fof(f70,definition,
( sQ3_spl
<=> greater_or_equal(sK1_skl(sK2_skl),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f71,plain,
( ~ sQ3_spl
| greater_or_equal(sK1_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,plain,
( sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f69,f52,f70]) ).
fof(f74,plain,
( ~ sQ2_spl
| greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f66,f39]) ).
fof(f75,plain,
( ~ sQ2_spl
| subpopulations(first_movers,efficient_producers,sK2_skl,sK3_skl(sK1_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f66,f38]) ).
fof(f76,plain,
! [X0] :
( ~ sQ2_spl
| greater(sK1_skl(sK2_skl),X0)
| X0 = sK1_skl(sK2_skl)
| greater(X0,sK1_skl(sK2_skl))
| ~ in_environment(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f66,f14]) ).
fof(f77,plain,
( ~ sQ3_spl
| sK1_skl(sK2_skl) = equilibrium(sK2_skl)
| greater(sK1_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f71,f17]) ).
fof(f78,definition,
( sQ4_spl
<=> greater(sK1_skl(sK2_skl),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f79,plain,
( ~ sQ4_spl
| greater(sK1_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,definition,
( sQ5_spl
<=> sK1_skl(sK2_skl) = equilibrium(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( ~ sQ5_spl
| sK1_skl(sK2_skl) = equilibrium(sK2_skl) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,plain,
( ~ sQ3_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f77,f78,f81,f70]) ).
fof(f85,plain,
( ~ sQ1_spl
| sK3_skl(sK0_skl(sK2_skl)) = sK0_skl(sK2_skl)
| greater(sK3_skl(sK0_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f61,f17]) ).
fof(f86,definition,
( sQ6_spl
<=> greater(sK3_skl(sK0_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f87,plain,
( ~ sQ6_spl
| greater(sK3_skl(sK0_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,definition,
( sQ7_spl
<=> sK3_skl(sK0_skl(sK2_skl)) = sK0_skl(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ7_spl
| sK3_skl(sK0_skl(sK2_skl)) = sK0_skl(sK2_skl) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,plain,
( ~ sQ1_spl
| sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f85,f86,f89,f55]) ).
fof(f95,plain,
( ~ sQ2_spl
| sK3_skl(sK1_skl(sK2_skl)) = sK1_skl(sK2_skl)
| greater(sK3_skl(sK1_skl(sK2_skl)),sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f74,f17]) ).
fof(f96,definition,
( sQ8_spl
<=> greater(sK3_skl(sK1_skl(sK2_skl)),sK1_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( ~ sQ8_spl
| greater(sK3_skl(sK1_skl(sK2_skl)),sK1_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f98,plain,
( sQ8_spl
| ~ greater(sK3_skl(sK1_skl(sK2_skl)),sK1_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,definition,
( sQ9_spl
<=> sK3_skl(sK1_skl(sK2_skl)) = sK1_skl(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( ~ sQ9_spl
| sK3_skl(sK1_skl(sK2_skl)) = sK1_skl(sK2_skl) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f101,plain,
( sQ9_spl
| sK3_skl(sK1_skl(sK2_skl)) != sK1_skl(sK2_skl) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,plain,
( ~ sQ2_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f95,f96,f99,f65]) ).
fof(f103,plain,
( ~ sQ1_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))))
| ~ greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),sK0_skl(sK2_skl))
| ~ stable(sK2_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f62,f29]) ).
fof(f104,plain,
( ~ sQ1_spl
| greater(zero,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))))
| sP0_prd(sK3_skl(sK0_skl(sK2_skl)))
| ~ greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f62,f25]) ).
fof(f105,plain,
( ~ sQ1_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero)
| sP0_prd(sK3_skl(sK0_skl(sK2_skl)))
| ~ greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f62,f24]) ).
fof(f106,definition,
( sQ10_spl
<=> stable(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( sQ10_spl
| ~ stable(sK2_skl) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,definition,
( sQ11_spl
<=> greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( sQ11_spl
| ~ greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,definition,
( sQ12_spl
<=> greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ12_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,plain,
( ~ sQ1_spl
| sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f103,f52,f106,f109,f112,f55]) ).
fof(f116,definition,
( sQ13_spl
<=> greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( ~ sQ13_spl
| greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f118,plain,
( sQ13_spl
| ~ greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,definition,
( sQ14_spl
<=> sP0_prd(sK3_skl(sK0_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( ~ sQ14_spl
| sP0_prd(sK3_skl(sK0_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,definition,
( sQ15_spl
<=> greater(zero,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( sQ15_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,plain,
( ~ sQ1_spl
| sQ15_spl
| sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f104,f52,f116,f119,f122,f55]) ).
fof(f126,definition,
( sQ16_spl
<=> greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f127,plain,
( ~ sQ16_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,plain,
( ~ sQ1_spl
| sQ16_spl
| sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f105,f52,f116,f119,f126,f55]) ).
fof(f130,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| greater(sK0_skl(sK2_skl),sK1_skl(sK2_skl))
| sK1_skl(sK2_skl) = sK0_skl(sK2_skl)
| greater(sK1_skl(sK2_skl),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f63,f66]) ).
fof(f132,definition,
( sQ17_spl
<=> greater(sK1_skl(sK2_skl),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( ~ sQ17_spl
| greater(sK1_skl(sK2_skl),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f134,plain,
( sQ17_spl
| ~ greater(sK1_skl(sK2_skl),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,definition,
( sQ18_spl
<=> sK1_skl(sK2_skl) = sK0_skl(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ18_spl
| sK1_skl(sK2_skl) = sK0_skl(sK2_skl) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
( sQ19_spl
<=> greater(sK0_skl(sK2_skl),sK1_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ19_spl
| greater(sK0_skl(sK2_skl),sK1_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ19_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f130,f132,f135,f138,f55,f65]) ).
fof(f151,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| greater_or_equal(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f136,f71]) ).
fof(f163,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sK0_skl(sK2_skl) = equilibrium(sK2_skl)
| greater(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f151,f17]) ).
fof(f164,definition,
( sQ22_spl
<=> greater(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ22_spl
| greater(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,definition,
( sQ23_spl
<=> sK0_skl(sK2_skl) = equilibrium(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ23_spl
| sK0_skl(sK2_skl) = equilibrium(sK2_skl) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sQ23_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f163,f164,f167,f135,f70]) ).
fof(f173,plain,
( ~ sQ1_spl
| ~ sQ23_spl
| greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f168,f61]) ).
fof(f179,plain,
( sQ13_spl
| ~ sQ23_spl
| ~ greater_or_equal(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f168,f118]) ).
fof(f187,plain,
( ~ sQ1_spl
| ~ sQ23_spl
| greater_or_equal(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f168,f173]) ).
fof(f190,plain,
( sQ13_spl
| ~ sQ23_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f179,f187]) ).
fof(f191,plain,
( sQ13_spl
| ~ sQ23_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f190]) ).
fof(f200,plain,
( ~ sQ14_spl
| greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),zero)
| growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) = zero ),
inference(resolution,[status(thm)],[f120,f43]) ).
fof(f201,definition,
( sQ24_spl
<=> growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) = zero ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ24_spl
| growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) = zero ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,definition,
( sQ25_spl
<=> greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ25_spl
| greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f206,plain,
( sQ25_spl
| ~ greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( ~ sQ14_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f200,f201,f204,f119]) ).
fof(f209,plain,
( ~ sQ12_spl
| ~ sQ24_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(backward_demodulation,[status(thm)],[f202,f113]) ).
fof(f212,definition,
( sQ26_spl
<=> greater(zero,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ26_spl
| greater(zero,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f214,plain,
( sQ26_spl
| ~ greater(zero,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f223,plain,
( ~ sQ2_spl
| greater(sK1_skl(sK2_skl),sK1_skl(sK2_skl))
| sK1_skl(sK2_skl) = sK1_skl(sK2_skl)
| greater(sK1_skl(sK2_skl),sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f76,f66]) ).
fof(f225,definition,
( sQ27_spl
<=> greater(sK1_skl(sK2_skl),sK1_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ27_spl
| greater(sK1_skl(sK2_skl),sK1_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ28_spl
<=> sK1_skl(sK2_skl) = sK1_skl(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ2_spl
| sQ28_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f223,f225,f228,f65]) ).
fof(f235,plain,
( ~ sQ17_spl
| greater_or_equal(sK1_skl(sK2_skl),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f133,f18]) ).
fof(f236,plain,
( ~ sQ2_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))))
| ~ greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),sK0_skl(sK2_skl))
| ~ stable(sK2_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f75,f29]) ).
fof(f237,plain,
( ~ sQ2_spl
| greater(zero,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))))
| sP0_prd(sK3_skl(sK1_skl(sK2_skl)))
| ~ greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f75,f25]) ).
fof(f238,plain,
( ~ sQ2_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),zero)
| sP0_prd(sK3_skl(sK1_skl(sK2_skl)))
| ~ greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f75,f24]) ).
fof(f239,definition,
( sQ29_spl
<=> greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ29_spl
| greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f241,plain,
( sQ29_spl
| ~ greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,definition,
( sQ30_spl
<=> greater(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ30_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,plain,
( ~ sQ2_spl
| sQ30_spl
| ~ sQ29_spl
| ~ sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f236,f52,f106,f239,f242,f65]) ).
fof(f246,definition,
( sQ31_spl
<=> greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ31_spl
| greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f248,plain,
( sQ31_spl
| ~ greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,definition,
( sQ32_spl
<=> sP0_prd(sK3_skl(sK1_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ32_spl
| sP0_prd(sK3_skl(sK1_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f251,plain,
( sQ32_spl
| ~ sP0_prd(sK3_skl(sK1_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ33_spl
<=> greater(zero,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ33_spl
| greater(zero,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f254,plain,
( sQ33_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( ~ sQ2_spl
| sQ33_spl
| sQ32_spl
| ~ sQ31_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f237,f52,f246,f249,f252,f65]) ).
fof(f256,definition,
( sQ34_spl
<=> greater(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ34_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,plain,
( ~ sQ2_spl
| sQ34_spl
| sQ32_spl
| ~ sQ31_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f238,f52,f246,f249,f256,f65]) ).
fof(f260,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f108,f37]) ).
fof(f261,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f260]) ).
fof(f262,plain,
( sQ11_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f111,f61]) ).
fof(f263,plain,
( sQ11_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f262]) ).
fof(f276,plain,
( ~ sQ32_spl
| greater(zero,growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))))
| growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))) = zero ),
inference(resolution,[status(thm)],[f250,f46]) ).
fof(f277,plain,
( ~ sQ32_spl
| greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),zero)
| growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))) = zero ),
inference(resolution,[status(thm)],[f250,f45]) ).
fof(f278,plain,
( ~ sQ32_spl
| greater(zero,growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))))
| growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) = zero ),
inference(resolution,[status(thm)],[f250,f44]) ).
fof(f279,plain,
( ~ sQ32_spl
| greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),zero)
| growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) = zero ),
inference(resolution,[status(thm)],[f250,f43]) ).
fof(f280,definition,
( sQ35_spl
<=> growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))) = zero ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ35_spl
| growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))) = zero ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f282,plain,
( sQ35_spl
| growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))) != zero ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,definition,
( sQ36_spl
<=> greater(zero,growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ36_spl
| greater(zero,growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( ~ sQ32_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f276,f280,f283,f249]) ).
fof(f287,definition,
( sQ37_spl
<=> greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( ~ sQ37_spl
| greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,plain,
( ~ sQ32_spl
| sQ37_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f277,f280,f287,f249]) ).
fof(f291,definition,
( sQ38_spl
<=> growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) = zero ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ38_spl
| growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) = zero ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,plain,
( ~ sQ32_spl
| sQ36_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f278,f291,f283,f249]) ).
fof(f295,plain,
( ~ sQ32_spl
| sQ37_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f279,f291,f287,f249]) ).
fof(f297,plain,
( ~ sQ30_spl
| ~ sQ38_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
inference(backward_demodulation,[status(thm)],[f292,f243]) ).
fof(f299,plain,
( ~ sQ36_spl
| ~ sQ35_spl
| greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f281,f284]) ).
fof(f301,plain,
( ~ sQ30_spl
| ~ sQ38_spl
| ~ sQ35_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f281,f297]) ).
fof(f302,plain,
! [X0] :
( ~ sQ19_spl
| greater(sK0_skl(sK2_skl),X0)
| ~ greater(sK1_skl(sK2_skl),X0) ),
inference(resolution,[status(thm)],[f139,f11]) ).
fof(f303,plain,
( ~ sQ19_spl
| greater_or_equal(sK0_skl(sK2_skl),sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f139,f18]) ).
fof(f305,plain,
( ~ sQ22_spl
| greater_or_equal(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f165,f18]) ).
fof(f306,plain,
! [X0] :
( ~ sQ8_spl
| greater(sK3_skl(sK1_skl(sK2_skl)),X0)
| ~ greater(sK1_skl(sK2_skl),X0) ),
inference(resolution,[status(thm)],[f97,f11]) ).
fof(f308,plain,
( ~ sQ13_spl
| sK3_skl(sK0_skl(sK2_skl)) = equilibrium(sK2_skl)
| greater(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f117,f17]) ).
fof(f309,definition,
( sQ39_spl
<=> greater(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( ~ sQ39_spl
| greater(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,definition,
( sQ40_spl
<=> sK3_skl(sK0_skl(sK2_skl)) = equilibrium(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ40_spl
| sK3_skl(sK0_skl(sK2_skl)) = equilibrium(sK2_skl) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( ~ sQ13_spl
| sQ40_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f308,f309,f312,f116]) ).
fof(f317,plain,
( ~ sQ1_spl
| ~ sQ40_spl
| greater_or_equal(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f313,f61]) ).
fof(f324,plain,
( ~ sQ1_spl
| ~ sQ40_spl
| equilibrium(sK2_skl) = sK0_skl(sK2_skl)
| greater(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f317,f17]) ).
fof(f325,definition,
( sQ41_spl
<=> greater(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( ~ sQ41_spl
| greater(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( ~ sQ1_spl
| ~ sQ40_spl
| sQ23_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f324,f325,f167,f312,f55]) ).
fof(f346,plain,
( ~ sQ41_spl
| greater_or_equal(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f326,f18]) ).
fof(f349,plain,
! [X0] :
( ~ sQ6_spl
| greater(sK3_skl(sK0_skl(sK2_skl)),X0)
| ~ greater(sK0_skl(sK2_skl),X0) ),
inference(resolution,[status(thm)],[f87,f11]) ).
fof(f357,plain,
( ~ sQ19_spl
| ~ sQ5_spl
| greater_or_equal(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f82,f303]) ).
fof(f358,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ greater_or_equal(sK3_skl(equilibrium(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f82,f241]) ).
fof(f360,plain,
( ~ sQ27_spl
| ~ sQ5_spl
| greater(sK1_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f82,f226]) ).
fof(f361,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| greater(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f82,f97]) ).
fof(f363,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| subpopulations(first_movers,efficient_producers,sK2_skl,sK3_skl(equilibrium(sK2_skl))) ),
inference(backward_demodulation,[status(thm)],[f82,f75]) ).
fof(f364,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ5_spl
| greater(equilibrium(sK2_skl),X0)
| X0 = sK1_skl(sK2_skl)
| greater(X0,sK1_skl(sK2_skl))
| ~ in_environment(sK2_skl,X0) ),
inference(backward_demodulation,[status(thm)],[f82,f76]) ).
fof(f365,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f82,f74]) ).
fof(f366,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| in_environment(sK2_skl,equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f82,f66]) ).
fof(f368,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| greater_or_equal(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f82,f235]) ).
fof(f370,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| greater(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f82,f133]) ).
fof(f371,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ5_spl
| greater(sK3_skl(equilibrium(sK2_skl)),X0)
| ~ greater(sK1_skl(sK2_skl),X0) ),
inference(backward_demodulation,[status(thm)],[f82,f306]) ).
fof(f373,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))) = zero ),
inference(backward_demodulation,[status(thm)],[f82,f281]) ).
fof(f374,plain,
( ~ sQ38_spl
| ~ sQ5_spl
| growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))) = zero ),
inference(backward_demodulation,[status(thm)],[f82,f292]) ).
fof(f375,plain,
( ~ sQ9_spl
| ~ sQ5_spl
| sK3_skl(equilibrium(sK2_skl)) = sK1_skl(sK2_skl) ),
inference(forward_demodulation,[status(thm)],[f82,f100]) ).
fof(f376,plain,
( ~ sQ9_spl
| ~ sQ5_spl
| sK3_skl(equilibrium(sK2_skl)) = equilibrium(sK2_skl) ),
inference(forward_demodulation,[status(thm)],[f82,f375]) ).
fof(f395,plain,
( ~ sQ18_spl
| ~ sQ5_spl
| equilibrium(sK2_skl) = sK0_skl(sK2_skl) ),
inference(forward_demodulation,[status(thm)],[f82,f136]) ).
fof(f408,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ greater_or_equal(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f376,f358]) ).
fof(f409,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ18_spl
| ~ greater_or_equal(equilibrium(sK2_skl),equilibrium(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f395,f408]) ).
fof(f410,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f409,f49]) ).
fof(f411,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f410]) ).
fof(f438,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ23_spl
| ~ greater_or_equal(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f168,f358]) ).
fof(f439,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ23_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f438,f187]) ).
fof(f440,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ23_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f439]) ).
fof(f441,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f365,f248]) ).
fof(f442,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f441]) ).
fof(f443,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ5_spl
| greater(sK3_skl(equilibrium(sK2_skl)),X0)
| ~ greater(equilibrium(sK2_skl),X0) ),
inference(backward_demodulation,[status(thm)],[f82,f371]) ).
fof(f444,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ5_spl
| greater(equilibrium(sK2_skl),X0)
| X0 = equilibrium(sK2_skl)
| greater(X0,sK1_skl(sK2_skl))
| ~ in_environment(sK2_skl,X0) ),
inference(backward_demodulation,[status(thm)],[f82,f364]) ).
fof(f445,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| greater(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f82,f361]) ).
fof(f446,plain,
( ~ sQ27_spl
| ~ sQ5_spl
| greater(equilibrium(sK2_skl),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f82,f360]) ).
fof(f457,plain,
( sQ13_spl
| ~ sQ7_spl
| ~ greater_or_equal(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f90,f118]) ).
fof(f464,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| greater_or_equal(sK3_skl(equilibrium(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f82,f240]) ).
fof(f465,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| sP0_prd(sK3_skl(equilibrium(sK2_skl))) ),
inference(forward_demodulation,[status(thm)],[f82,f250]) ).
fof(f466,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| greater_or_equal(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f82,f365]) ).
fof(f468,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ5_spl
| greater(equilibrium(sK2_skl),X0)
| X0 = equilibrium(sK2_skl)
| greater(X0,equilibrium(sK2_skl))
| ~ in_environment(sK2_skl,X0) ),
inference(forward_demodulation,[status(thm)],[f82,f444]) ).
fof(f475,plain,
( sQ13_spl
| ~ sQ7_spl
| ~ sQ19_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f457,f357]) ).
fof(f476,plain,
( sQ13_spl
| ~ sQ7_spl
| ~ sQ19_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f475]) ).
fof(f477,plain,
( ~ sQ22_spl
| sQ13_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f305,f457]) ).
fof(f478,plain,
( ~ sQ22_spl
| sQ13_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f477]) ).
fof(f485,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| greater(growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))),growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))))
| ~ greater_or_equal(sK3_skl(equilibrium(sK2_skl)),sK0_skl(sK2_skl))
| ~ stable(sK2_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f363,f29]) ).
fof(f486,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| greater(zero,growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))))
| sP0_prd(sK3_skl(equilibrium(sK2_skl)))
| ~ greater_or_equal(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f363,f25]) ).
fof(f488,definition,
( sQ42_spl
<=> greater_or_equal(sK3_skl(equilibrium(sK2_skl)),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( sQ42_spl
| ~ greater_or_equal(sK3_skl(equilibrium(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,definition,
( sQ43_spl
<=> greater(growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))),growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( ~ sQ43_spl
| greater(growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))),growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f493,plain,
( sQ43_spl
| ~ greater(growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))),growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| sQ43_spl
| ~ sQ42_spl
| ~ sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f485,f52,f106,f488,f491,f81,f65]) ).
fof(f495,definition,
( sQ44_spl
<=> greater_or_equal(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( sQ44_spl
| ~ greater_or_equal(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,definition,
( sQ45_spl
<=> sP0_prd(sK3_skl(equilibrium(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ45_spl
| sP0_prd(sK3_skl(equilibrium(sK2_skl))) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,definition,
( sQ46_spl
<=> greater(zero,growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( ~ sQ46_spl
| greater(zero,growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f503,plain,
( sQ46_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| sQ46_spl
| sQ45_spl
| ~ sQ44_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f486,f52,f495,f498,f501,f81,f65]) ).
fof(f509,plain,
( sQ44_spl
| ~ sQ2_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f497,f466]) ).
fof(f510,plain,
( sQ44_spl
| ~ sQ2_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( sQ42_spl
| ~ sQ29_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f490,f464]) ).
fof(f512,plain,
( sQ42_spl
| ~ sQ29_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f511]) ).
fof(f520,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ1_spl
| greater(sK0_skl(sK2_skl),equilibrium(sK2_skl))
| equilibrium(sK2_skl) = sK0_skl(sK2_skl)
| greater(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f63,f366]) ).
fof(f522,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sQ22_spl
| sQ23_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f520,f325,f167,f164,f55,f81,f65]) ).
fof(f525,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| sK3_skl(equilibrium(sK2_skl)) = equilibrium(sK2_skl)
| greater(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f466,f17]) ).
fof(f526,definition,
( sQ48_spl
<=> greater(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ48_spl
| greater(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f528,plain,
( sQ48_spl
| ~ greater(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ49_spl
<=> sK3_skl(equilibrium(sK2_skl)) = equilibrium(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ49_spl
| sK3_skl(equilibrium(sK2_skl)) = equilibrium(sK2_skl) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f525,f526,f529,f81,f65]) ).
fof(f538,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ49_spl
| sP0_prd(equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f530,f465]) ).
fof(f542,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| greater(equilibrium(sK2_skl),equilibrium(sK2_skl))
| equilibrium(sK2_skl) = equilibrium(sK2_skl)
| greater(equilibrium(sK2_skl),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f468,f366]) ).
fof(f544,definition,
( sQ50_spl
<=> greater(equilibrium(sK2_skl),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( ~ sQ50_spl
| greater(equilibrium(sK2_skl),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,definition,
( sQ51_spl
<=> equilibrium(sK2_skl) = equilibrium(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f542,f544,f547,f81,f65]) ).
fof(f551,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ49_spl
| greater(zero,growth_rate(efficient_producers,equilibrium(sK2_skl)))
| growth_rate(efficient_producers,equilibrium(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f538,f46]) ).
fof(f552,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ49_spl
| greater(growth_rate(first_movers,equilibrium(sK2_skl)),zero)
| growth_rate(efficient_producers,equilibrium(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f538,f45]) ).
fof(f553,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ49_spl
| greater(zero,growth_rate(efficient_producers,equilibrium(sK2_skl)))
| growth_rate(first_movers,equilibrium(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f538,f44]) ).
fof(f554,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ49_spl
| greater(growth_rate(first_movers,equilibrium(sK2_skl)),zero)
| growth_rate(first_movers,equilibrium(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f538,f43]) ).
fof(f555,definition,
( sQ52_spl
<=> growth_rate(efficient_producers,equilibrium(sK2_skl)) = zero ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ52_spl
| growth_rate(efficient_producers,equilibrium(sK2_skl)) = zero ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ53_spl
<=> greater(zero,growth_rate(efficient_producers,equilibrium(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ53_spl
| greater(zero,growth_rate(efficient_producers,equilibrium(sK2_skl))) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ49_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f551,f555,f558,f529,f81,f249]) ).
fof(f562,definition,
( sQ54_spl
<=> greater(growth_rate(first_movers,equilibrium(sK2_skl)),zero) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f563,plain,
( ~ sQ54_spl
| greater(growth_rate(first_movers,equilibrium(sK2_skl)),zero) ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ49_spl
| sQ54_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f552,f555,f562,f529,f81,f249]) ).
fof(f566,definition,
( sQ55_spl
<=> growth_rate(first_movers,equilibrium(sK2_skl)) = zero ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( ~ sQ55_spl
| growth_rate(first_movers,equilibrium(sK2_skl)) = zero ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ49_spl
| sQ53_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f553,f566,f558,f529,f81,f249]) ).
fof(f570,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ49_spl
| sQ54_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f554,f566,f562,f529,f81,f249]) ).
fof(f573,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| equilibrium(sK2_skl) = sK0_skl(sK2_skl)
| greater(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f368,f17]) ).
fof(f574,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| sQ23_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f573,f325,f167,f81,f132]) ).
fof(f575,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ49_spl
| ~ greater_or_equal(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f530,f358]) ).
fof(f576,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ49_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f575,f368]) ).
fof(f577,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ49_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f576]) ).
fof(f579,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f556,f559]) ).
fof(f592,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| greater(zero,growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))))
| growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))) = zero ),
inference(resolution,[status(thm)],[f465,f46]) ).
fof(f593,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| greater(growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))),zero)
| growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))) = zero ),
inference(resolution,[status(thm)],[f465,f45]) ).
fof(f594,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| greater(zero,growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))))
| growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))) = zero ),
inference(resolution,[status(thm)],[f465,f44]) ).
fof(f596,definition,
( sQ56_spl
<=> growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))) = zero ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( ~ sQ56_spl
| growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))) = zero ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,definition,
( sQ57_spl
<=> greater(zero,growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ57_spl
| greater(zero,growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f601,plain,
( sQ57_spl
| ~ greater(zero,growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f592,f596,f599,f81,f249]) ).
fof(f603,definition,
( sQ58_spl
<=> greater(growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))),zero) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f606,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| sQ58_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f593,f596,f603,f81,f249]) ).
fof(f607,definition,
( sQ59_spl
<=> growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))) = zero ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ59_spl
| growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))) = zero ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| sQ57_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f594,f607,f599,f81,f249]) ).
fof(f613,plain,
( ~ sQ57_spl
| ~ sQ35_spl
| ~ sQ5_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f373,f600]) ).
fof(f632,plain,
( ~ sQ16_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))))
| ~ in_environment(sK2_skl,sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f127,f40]) ).
fof(f635,plain,
( ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f632,f55,f122,f126]) ).
fof(f636,plain,
( sQ15_spl
| ~ sQ24_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f202,f124]) ).
fof(f637,plain,
( sQ15_spl
| ~ sQ24_spl
| ~ sQ57_spl
| ~ sQ35_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f636,f613]) ).
fof(f638,plain,
( sQ15_spl
| ~ sQ24_spl
| ~ sQ57_spl
| ~ sQ35_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f637]) ).
fof(f641,plain,
( ~ sQ43_spl
| ~ sQ56_spl
| greater(zero,growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl)))) ),
inference(forward_demodulation,[status(thm)],[f597,f492]) ).
fof(f646,plain,
( ~ sQ34_spl
| ~ sQ5_spl
| greater(growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))),zero) ),
inference(forward_demodulation,[status(thm)],[f82,f257]) ).
fof(f647,plain,
( ~ sQ34_spl
| ~ sQ5_spl
| ~ sQ56_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f597,f646]) ).
fof(f650,plain,
( sQ57_spl
| ~ sQ56_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f597,f601]) ).
fof(f661,plain,
( ~ sQ37_spl
| ~ sQ5_spl
| greater(growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))),zero) ),
inference(forward_demodulation,[status(thm)],[f82,f288]) ).
fof(f671,plain,
( ~ sQ55_spl
| ~ greater(zero,growth_rate(efficient_producers,equilibrium(sK2_skl)))
| ~ greater(zero,zero)
| sP0_prd(equilibrium(sK2_skl)) ),
inference(paramodulation,[status(thm)],[f567,f48]) ).
fof(f672,definition,
( sQ60_spl
<=> sP0_prd(equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f673,plain,
( ~ sQ60_spl
| sP0_prd(equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,definition,
( sQ61_spl
<=> greater(zero,zero) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f676,plain,
( ~ sQ61_spl
| greater(zero,zero) ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f677,plain,
( sQ61_spl
| ~ greater(zero,zero) ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| ~ sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f671,f672,f675,f558,f566]) ).
fof(f679,plain,
( sQ61_spl
| ~ sQ57_spl
| ~ sQ35_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f677,f613]) ).
fof(f680,plain,
( sQ61_spl
| ~ sQ57_spl
| ~ sQ35_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f679]) ).
fof(f681,plain,
( ~ sQ43_spl
| ~ sQ56_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f641,f501,f596,f491]) ).
fof(f692,plain,
( sQ35_spl
| ~ sQ5_spl
| growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))) != zero ),
inference(forward_demodulation,[status(thm)],[f82,f282]) ).
fof(f693,plain,
( sQ35_spl
| ~ sQ5_spl
| ~ sQ56_spl
| zero != zero ),
inference(forward_demodulation,[status(thm)],[f597,f692]) ).
fof(f694,plain,
( sQ35_spl
| ~ sQ5_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f693]) ).
fof(f695,plain,
( sQ35_spl
| ~ sQ5_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f694]) ).
fof(f697,plain,
( sQ57_spl
| ~ sQ56_spl
| ~ sQ34_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f650,f647]) ).
fof(f698,plain,
( sQ57_spl
| ~ sQ56_spl
| ~ sQ34_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f697]) ).
fof(f699,plain,
( sQ57_spl
| ~ sQ56_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f597,f601]) ).
fof(f702,plain,
( ~ sQ46_spl
| ~ sQ59_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f608,f502]) ).
fof(f703,plain,
( ~ sQ46_spl
| ~ sQ59_spl
| sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f702,f699]) ).
fof(f704,plain,
( ~ sQ46_spl
| ~ sQ59_spl
| sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f703]) ).
fof(f715,plain,
( sQ46_spl
| ~ sQ59_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f608,f503]) ).
fof(f716,plain,
( sQ43_spl
| ~ sQ56_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl)))) ),
inference(forward_demodulation,[status(thm)],[f597,f493]) ).
fof(f717,plain,
( sQ43_spl
| ~ sQ56_spl
| ~ sQ59_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f608,f716]) ).
fof(f730,plain,
( ~ sQ60_spl
| greater(zero,growth_rate(efficient_producers,equilibrium(sK2_skl)))
| growth_rate(efficient_producers,equilibrium(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f673,f46]) ).
fof(f732,plain,
( ~ sQ60_spl
| greater(zero,growth_rate(efficient_producers,equilibrium(sK2_skl)))
| growth_rate(first_movers,equilibrium(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f673,f44]) ).
fof(f734,plain,
( ~ sQ60_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f730,f555,f558,f672]) ).
fof(f736,plain,
( ~ sQ60_spl
| sQ53_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f732,f566,f558,f672]) ).
fof(f745,plain,
! [X0] :
( ~ sQ12_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),X0)
| ~ greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),X0) ),
inference(resolution,[status(thm)],[f113,f11]) ).
fof(f747,plain,
( ~ sQ52_spl
| growth_rate(first_movers,equilibrium(sK2_skl)) != zero
| sP0_prd(equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f556,f47]) ).
fof(f749,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f747,f672,f566,f555]) ).
fof(f757,plain,
( ~ sQ22_spl
| ~ sQ6_spl
| greater(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f349,f165]) ).
fof(f759,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| ~ sQ8_spl
| greater(sK3_skl(equilibrium(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f443,f370]) ).
fof(f761,plain,
( ~ sQ39_spl
| greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f310,f18]) ).
fof(f762,plain,
( ~ sQ39_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f761,f116,f309]) ).
fof(f763,plain,
( ~ sQ22_spl
| ~ sQ6_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f757,f309,f86,f164]) ).
fof(f766,plain,
( ~ sQ14_spl
| greater(zero,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))))
| growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) = zero ),
inference(resolution,[status(thm)],[f120,f46]) ).
fof(f770,definition,
( sQ63_spl
<=> growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) = zero ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ63_spl
| growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) = zero ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f772,plain,
( sQ63_spl
| growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) != zero ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,plain,
( ~ sQ14_spl
| sQ26_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f766,f770,f212,f119]) ).
fof(f781,plain,
! [X0] :
( ~ sQ26_spl
| greater(zero,X0)
| ~ greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),X0) ),
inference(resolution,[status(thm)],[f213,f11]) ).
fof(f783,plain,
( ~ sQ25_spl
| ~ greater(zero,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))))
| sP0_prd(sK3_skl(sK0_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f205,f48]) ).
fof(f786,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f783,f119,f212,f204]) ).
fof(f790,plain,
( ~ sQ56_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))))
| ~ greater(zero,zero)
| ~ in_environment(sK2_skl,equilibrium(sK2_skl)) ),
inference(paramodulation,[status(thm)],[f597,f40]) ).
fof(f793,definition,
( sQ64_spl
<=> in_environment(sK2_skl,equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( sQ64_spl
| ~ in_environment(sK2_skl,equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,plain,
( ~ sQ56_spl
| ~ sQ46_spl
| ~ sQ61_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f790,f793,f675,f501,f596]) ).
fof(f799,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| ~ sQ8_spl
| greater_or_equal(sK3_skl(equilibrium(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f759,f18]) ).
fof(f800,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| ~ sQ8_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f799,f488,f96,f81,f132]) ).
fof(f801,plain,
( sQ17_spl
| ~ sQ5_spl
| ~ greater(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f82,f134]) ).
fof(f802,plain,
( sQ17_spl
| ~ sQ5_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f801,f326]) ).
fof(f803,plain,
( sQ17_spl
| ~ sQ5_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f802]) ).
fof(f809,plain,
( ~ sQ14_spl
| ~ sQ7_spl
| sP0_prd(sK0_skl(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f90,f120]) ).
fof(f812,plain,
( ~ sQ1_spl
| ~ sQ7_spl
| subpopulations(first_movers,efficient_producers,sK2_skl,sK0_skl(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f90,f62]) ).
fof(f823,plain,
( sQ8_spl
| ~ sQ5_spl
| ~ greater(sK3_skl(equilibrium(sK2_skl)),sK1_skl(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f82,f98]) ).
fof(f824,plain,
( sQ8_spl
| ~ sQ5_spl
| ~ greater(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f82,f823]) ).
fof(f825,plain,
( sQ8_spl
| ~ sQ5_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f824,f527]) ).
fof(f826,plain,
( sQ8_spl
| ~ sQ5_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f825]) ).
fof(f836,plain,
( sQ8_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ greater(equilibrium(sK2_skl),equilibrium(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f376,f824]) ).
fof(f837,plain,
( sQ8_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f836,f446]) ).
fof(f838,plain,
( sQ8_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f837]) ).
fof(f839,plain,
( sQ48_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ greater(equilibrium(sK2_skl),equilibrium(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f376,f528]) ).
fof(f840,plain,
( ~ sQ50_spl
| sQ48_spl
| ~ sQ9_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f545,f839]) ).
fof(f841,plain,
( ~ sQ50_spl
| sQ48_spl
| ~ sQ9_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f840]) ).
fof(f847,definition,
( sQ65_spl
<=> greater_or_equal(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( sQ65_spl
| ~ greater_or_equal(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,definition,
( sQ66_spl
<=> greater(growth_rate(efficient_producers,equilibrium(sK2_skl)),growth_rate(first_movers,equilibrium(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f851,plain,
( ~ sQ66_spl
| greater(growth_rate(efficient_producers,equilibrium(sK2_skl)),growth_rate(first_movers,equilibrium(sK2_skl))) ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f854,definition,
( sQ67_spl
<=> greater_or_equal(equilibrium(sK2_skl),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( sQ67_spl
| ~ greater_or_equal(equilibrium(sK2_skl),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,definition,
( sQ68_spl
<=> greater(zero,growth_rate(first_movers,equilibrium(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f861,definition,
( sQ69_spl
<=> greater(growth_rate(efficient_producers,equilibrium(sK2_skl)),zero) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f873,plain,
( ~ sQ9_spl
| ~ sQ5_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))))
| ~ greater(growth_rate(efficient_producers,equilibrium(sK2_skl)),zero)
| ~ in_environment(sK2_skl,equilibrium(sK2_skl)) ),
inference(paramodulation,[status(thm)],[f376,f40]) ).
fof(f874,plain,
( ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ46_spl
| ~ sQ69_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f873,f793,f861,f501,f81,f99]) ).
fof(f899,plain,
( ~ sQ19_spl
| ~ sQ5_spl
| sK0_skl(sK2_skl) = equilibrium(sK2_skl)
| greater(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f357,f17]) ).
fof(f900,plain,
( ~ sQ19_spl
| ~ sQ5_spl
| sQ23_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f899,f164,f167,f81,f138]) ).
fof(f901,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK0_skl(sK2_skl))) ),
inference(backward_demodulation,[status(thm)],[f90,f113]) ).
fof(f924,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| greater(growth_rate(efficient_producers,sK0_skl(sK2_skl)),growth_rate(first_movers,sK0_skl(sK2_skl))) ),
inference(forward_demodulation,[status(thm)],[f90,f901]) ).
fof(f927,plain,
( ~ sQ14_spl
| ~ sQ7_spl
| greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl)))
| growth_rate(efficient_producers,sK0_skl(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f809,f46]) ).
fof(f929,plain,
( ~ sQ14_spl
| ~ sQ7_spl
| greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl)))
| growth_rate(first_movers,sK0_skl(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f809,f44]) ).
fof(f930,plain,
( ~ sQ14_spl
| ~ sQ7_spl
| greater(growth_rate(first_movers,sK0_skl(sK2_skl)),zero)
| growth_rate(first_movers,sK0_skl(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f809,f43]) ).
fof(f931,definition,
( sQ70_spl
<=> growth_rate(efficient_producers,sK0_skl(sK2_skl)) = zero ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f932,plain,
( ~ sQ70_spl
| growth_rate(efficient_producers,sK0_skl(sK2_skl)) = zero ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f934,definition,
( sQ71_spl
<=> greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( ~ sQ71_spl
| greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,plain,
( ~ sQ14_spl
| ~ sQ7_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f927,f931,f934,f89,f119]) ).
fof(f938,definition,
( sQ72_spl
<=> greater(growth_rate(first_movers,sK0_skl(sK2_skl)),zero) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( ~ sQ72_spl
| greater(growth_rate(first_movers,sK0_skl(sK2_skl)),zero) ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f940,plain,
( sQ72_spl
| ~ greater(growth_rate(first_movers,sK0_skl(sK2_skl)),zero) ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f942,definition,
( sQ73_spl
<=> growth_rate(first_movers,sK0_skl(sK2_skl)) = zero ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( ~ sQ73_spl
| growth_rate(first_movers,sK0_skl(sK2_skl)) = zero ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f944,plain,
( sQ73_spl
| growth_rate(first_movers,sK0_skl(sK2_skl)) != zero ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f945,plain,
( ~ sQ14_spl
| ~ sQ7_spl
| sQ71_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f929,f942,f934,f89,f119]) ).
fof(f946,plain,
( ~ sQ14_spl
| ~ sQ7_spl
| sQ72_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f930,f942,f938,f89,f119]) ).
fof(f949,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ70_spl
| greater(zero,growth_rate(first_movers,sK0_skl(sK2_skl))) ),
inference(backward_demodulation,[status(thm)],[f932,f924]) ).
fof(f956,plain,
( sQ15_spl
| ~ sQ7_spl
| ~ greater(zero,growth_rate(first_movers,sK0_skl(sK2_skl))) ),
inference(forward_demodulation,[status(thm)],[f90,f124]) ).
fof(f959,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ70_spl
| ~ sQ73_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f943,f949]) ).
fof(f960,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ70_spl
| ~ sQ73_spl
| sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f959,f699]) ).
fof(f961,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ70_spl
| ~ sQ73_spl
| sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f960]) ).
fof(f964,plain,
( ~ sQ1_spl
| ~ sQ7_spl
| greater(growth_rate(efficient_producers,sK0_skl(sK2_skl)),growth_rate(first_movers,sK0_skl(sK2_skl)))
| ~ greater_or_equal(sK0_skl(sK2_skl),sK0_skl(sK2_skl))
| ~ stable(sK2_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f812,f29]) ).
fof(f966,plain,
( ~ sQ1_spl
| ~ sQ7_spl
| greater(growth_rate(efficient_producers,sK0_skl(sK2_skl)),zero)
| sP0_prd(sK0_skl(sK2_skl))
| ~ greater_or_equal(sK0_skl(sK2_skl),equilibrium(sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f812,f24]) ).
fof(f967,definition,
( sQ74_spl
<=> greater_or_equal(sK0_skl(sK2_skl),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( sQ74_spl
| ~ greater_or_equal(sK0_skl(sK2_skl),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f970,definition,
( sQ75_spl
<=> greater(growth_rate(efficient_producers,sK0_skl(sK2_skl)),growth_rate(first_movers,sK0_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( ~ sQ75_spl
| greater(growth_rate(efficient_producers,sK0_skl(sK2_skl)),growth_rate(first_movers,sK0_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f973,plain,
( ~ sQ1_spl
| ~ sQ7_spl
| sQ75_spl
| ~ sQ74_spl
| ~ sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f964,f52,f106,f967,f970,f89,f55]) ).
fof(f974,definition,
( sQ76_spl
<=> greater_or_equal(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f976,plain,
( sQ76_spl
| ~ greater_or_equal(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f974]) ).
fof(f977,definition,
( sQ77_spl
<=> sP0_prd(sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f978,plain,
( ~ sQ77_spl
| sP0_prd(sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f979,plain,
( sQ77_spl
| ~ sP0_prd(sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f980,definition,
( sQ78_spl
<=> greater(zero,growth_rate(first_movers,sK0_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f981,plain,
( ~ sQ78_spl
| greater(zero,growth_rate(first_movers,sK0_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f984,definition,
( sQ79_spl
<=> greater(growth_rate(efficient_producers,sK0_skl(sK2_skl)),zero) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( ~ sQ1_spl
| ~ sQ7_spl
| sQ79_spl
| sQ77_spl
| ~ sQ76_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f966,f52,f974,f977,f984,f89,f55]) ).
fof(f988,plain,
( sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f969,f49]) ).
fof(f989,plain,
sQ74_spl,
inference(contradiction_clause,[status(thm)],[f988]) ).
fof(f990,plain,
( ~ sQ7_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))))
| ~ greater(growth_rate(efficient_producers,sK0_skl(sK2_skl)),zero)
| ~ in_environment(sK2_skl,sK0_skl(sK2_skl)) ),
inference(paramodulation,[status(thm)],[f90,f40]) ).
fof(f991,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ79_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f990,f55,f984,f122,f89]) ).
fof(f996,plain,
( ~ sQ72_spl
| ~ greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl)))
| sP0_prd(sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f939,f48]) ).
fof(f999,plain,
( ~ sQ72_spl
| ~ sQ71_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f996,f977,f934,f938]) ).
fof(f1007,plain,
( ~ sQ24_spl
| ~ sQ7_spl
| growth_rate(first_movers,sK0_skl(sK2_skl)) = zero ),
inference(forward_demodulation,[status(thm)],[f90,f202]) ).
fof(f1008,plain,
( ~ sQ24_spl
| ~ sQ7_spl
| sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1007,f944]) ).
fof(f1009,plain,
( ~ sQ24_spl
| ~ sQ7_spl
| sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1008]) ).
fof(f1012,plain,
( ~ sQ12_spl
| ~ sQ63_spl
| greater(zero,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(forward_demodulation,[status(thm)],[f771,f113]) ).
fof(f1013,plain,
( ~ sQ12_spl
| ~ sQ63_spl
| ~ sQ24_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f202,f1012]) ).
fof(f1014,plain,
( ~ sQ12_spl
| ~ sQ63_spl
| ~ sQ24_spl
| sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1013,f699]) ).
fof(f1015,plain,
( ~ sQ12_spl
| ~ sQ63_spl
| ~ sQ24_spl
| sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1014]) ).
fof(f1027,plain,
( ~ sQ77_spl
| greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl)))
| growth_rate(efficient_producers,sK0_skl(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f978,f46]) ).
fof(f1029,plain,
( ~ sQ77_spl
| greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl)))
| growth_rate(first_movers,sK0_skl(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f978,f44]) ).
fof(f1030,plain,
( ~ sQ77_spl
| greater(growth_rate(first_movers,sK0_skl(sK2_skl)),zero)
| growth_rate(first_movers,sK0_skl(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f978,f43]) ).
fof(f1031,plain,
( ~ sQ77_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f1027,f931,f934,f977]) ).
fof(f1033,plain,
( ~ sQ77_spl
| sQ71_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f1029,f942,f934,f977]) ).
fof(f1034,plain,
( ~ sQ77_spl
| sQ72_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f1030,f942,f938,f977]) ).
fof(f1035,plain,
( sQ76_spl
| ~ sQ19_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f976,f357]) ).
fof(f1036,plain,
( sQ76_spl
| ~ sQ19_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1035]) ).
fof(f1037,plain,
( sQ64_spl
| ~ sQ2_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f795,f366]) ).
fof(f1038,plain,
( sQ64_spl
| ~ sQ2_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1037]) ).
fof(f1039,plain,
( sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f856,f49]) ).
fof(f1040,plain,
sQ67_spl,
inference(contradiction_clause,[status(thm)],[f1039]) ).
fof(f1048,plain,
( ~ sQ78_spl
| ~ sQ73_spl
| greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f943,f981]) ).
fof(f1087,plain,
( ~ sQ25_spl
| ~ sQ12_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(resolution,[status(thm)],[f745,f205]) ).
fof(f1098,plain,
( ~ sQ25_spl
| ~ sQ12_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))))
| ~ in_environment(sK2_skl,sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f1087,f40]) ).
fof(f1100,plain,
( ~ sQ25_spl
| ~ sQ12_spl
| greater_or_equal(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(resolution,[status(thm)],[f1087,f18]) ).
fof(f1101,plain,
( ~ sQ25_spl
| ~ sQ12_spl
| ~ sQ15_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1098,f55,f122,f112,f204]) ).
fof(f1102,plain,
( ~ sQ25_spl
| ~ sQ12_spl
| growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) = zero
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(resolution,[status(thm)],[f1100,f17]) ).
fof(f1103,plain,
( ~ sQ25_spl
| ~ sQ12_spl
| sQ63_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f1102,f126,f770,f112,f204]) ).
fof(f1114,plain,
( ~ sQ12_spl
| ~ sQ63_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1012,f122,f770,f112]) ).
fof(f1135,plain,
( ~ sQ12_spl
| ~ sQ26_spl
| greater(zero,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f781,f113]) ).
fof(f1136,plain,
( ~ sQ16_spl
| ~ sQ26_spl
| greater(zero,zero) ),
inference(resolution,[status(thm)],[f781,f127]) ).
fof(f1137,plain,
( ~ sQ12_spl
| ~ sQ26_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1135,f122,f212,f112]) ).
fof(f1138,plain,
( ~ sQ16_spl
| ~ sQ26_spl
| sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1136,f699]) ).
fof(f1139,plain,
( ~ sQ16_spl
| ~ sQ26_spl
| sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1138]) ).
fof(f1140,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f373,f596,f81,f280]) ).
fof(f1141,plain,
( ~ sQ38_spl
| ~ sQ5_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f374,f607,f81,f291]) ).
fof(f1144,plain,
( sQ72_spl
| ~ sQ73_spl
| ~ greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f943,f940]) ).
fof(f1147,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f358,f488,f81,f239]) ).
fof(f1148,plain,
( sQ9_spl
| ~ sQ5_spl
| sK3_skl(equilibrium(sK2_skl)) != sK1_skl(sK2_skl) ),
inference(forward_demodulation,[status(thm)],[f82,f101]) ).
fof(f1149,plain,
( sQ9_spl
| ~ sQ5_spl
| sK3_skl(equilibrium(sK2_skl)) != equilibrium(sK2_skl) ),
inference(forward_demodulation,[status(thm)],[f82,f1148]) ).
fof(f1156,plain,
( ~ sQ41_spl
| sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f346,f849]) ).
fof(f1157,plain,
( ~ sQ41_spl
| sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1156]) ).
fof(f1158,plain,
( sQ72_spl
| ~ sQ73_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1144,f675,f942,f938]) ).
fof(f1160,plain,
( sQ43_spl
| ~ sQ56_spl
| ~ sQ59_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f717,f675,f607,f596,f491]) ).
fof(f1161,plain,
( sQ9_spl
| ~ sQ5_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1149,f529,f81,f99]) ).
fof(f1176,plain,
( ~ sQ12_spl
| ~ sQ24_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f209,f126,f201,f112]) ).
fof(f1178,plain,
( sQ46_spl
| ~ sQ59_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f715,f675,f607,f501]) ).
fof(f1179,plain,
( sQ43_spl
| ~ sQ56_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl)))) ),
inference(forward_demodulation,[status(thm)],[f597,f493]) ).
fof(f1180,plain,
( sQ43_spl
| ~ sQ56_spl
| ~ sQ49_spl
| ~ greater(zero,growth_rate(first_movers,equilibrium(sK2_skl))) ),
inference(forward_demodulation,[status(thm)],[f530,f1179]) ).
fof(f1181,plain,
( sQ43_spl
| ~ sQ56_spl
| ~ sQ49_spl
| ~ sQ55_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f567,f1180]) ).
fof(f1182,plain,
( sQ43_spl
| ~ sQ56_spl
| ~ sQ49_spl
| ~ sQ55_spl
| ~ sQ78_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1181,f1048]) ).
fof(f1183,plain,
( sQ43_spl
| ~ sQ56_spl
| ~ sQ49_spl
| ~ sQ55_spl
| ~ sQ78_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1182]) ).
fof(f1186,plain,
( sQ15_spl
| ~ sQ7_spl
| ~ sQ73_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f943,f956]) ).
fof(f1187,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ70_spl
| greater(zero,growth_rate(first_movers,sK0_skl(sK2_skl))) ),
inference(forward_demodulation,[status(thm)],[f932,f924]) ).
fof(f1188,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ70_spl
| ~ sQ73_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f943,f1187]) ).
fof(f1189,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ70_spl
| ~ sQ73_spl
| sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1188,f1186]) ).
fof(f1190,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ70_spl
| ~ sQ73_spl
| sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1189]) ).
fof(f1199,plain,
( sQ25_spl
| ~ sQ7_spl
| ~ greater(growth_rate(first_movers,sK0_skl(sK2_skl)),zero) ),
inference(forward_demodulation,[status(thm)],[f90,f206]) ).
fof(f1202,plain,
( sQ26_spl
| ~ sQ7_spl
| ~ greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl))) ),
inference(forward_demodulation,[status(thm)],[f90,f214]) ).
fof(f1209,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f579,f675,f555,f558]) ).
fof(f1211,plain,
( sQ63_spl
| ~ sQ7_spl
| growth_rate(efficient_producers,sK0_skl(sK2_skl)) != zero ),
inference(forward_demodulation,[status(thm)],[f90,f772]) ).
fof(f1212,plain,
( ~ sQ71_spl
| sQ26_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f935,f1202]) ).
fof(f1213,plain,
( ~ sQ71_spl
| sQ26_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1212]) ).
fof(f1214,plain,
( ~ sQ72_spl
| sQ25_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f939,f1199]) ).
fof(f1215,plain,
( ~ sQ72_spl
| sQ25_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1214]) ).
fof(f1216,plain,
( ~ sQ70_spl
| sQ63_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f932,f1211]) ).
fof(f1217,plain,
( ~ sQ70_spl
| sQ63_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1216]) ).
fof(f1246,plain,
! [X0] :
( ~ sQ43_spl
| greater(growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))),X0)
| ~ greater(growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))),X0) ),
inference(resolution,[status(thm)],[f492,f11]) ).
fof(f1252,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| sK3_skl(equilibrium(sK2_skl)) = sK0_skl(sK2_skl)
| greater(sK3_skl(equilibrium(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f464,f17]) ).
fof(f1253,definition,
( sQ81_spl
<=> greater(sK3_skl(equilibrium(sK2_skl)),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1256,definition,
( sQ82_spl
<=> sK3_skl(equilibrium(sK2_skl)) = sK0_skl(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1257,plain,
( ~ sQ82_spl
| sK3_skl(equilibrium(sK2_skl)) = sK0_skl(sK2_skl) ),
inference(component_clause,[status(thm)],[f1256]) ).
fof(f1259,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| sQ82_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1252,f1253,f1256,f81,f239]) ).
fof(f1263,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ82_spl
| sP0_prd(sK0_skl(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f1257,f465]) ).
fof(f1264,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ82_spl
| greater(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f1257,f445]) ).
fof(f1266,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ82_spl
| greater_or_equal(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f1257,f466]) ).
fof(f1271,plain,
( ~ sQ37_spl
| ~ sQ5_spl
| ~ sQ82_spl
| greater(growth_rate(first_movers,sK0_skl(sK2_skl)),zero) ),
inference(backward_demodulation,[status(thm)],[f1257,f661]) ).
fof(f1275,plain,
( ~ sQ57_spl
| ~ sQ82_spl
| greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl))) ),
inference(backward_demodulation,[status(thm)],[f1257,f600]) ).
fof(f1277,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ82_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f1263,f977,f1256,f81,f249]) ).
fof(f1278,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ82_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f1264,f164,f1256,f81,f96]) ).
fof(f1279,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ82_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f1266,f974,f1256,f81,f65]) ).
fof(f1282,plain,
( ~ sQ37_spl
| ~ sQ5_spl
| ~ sQ82_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f1271,f938,f1256,f81,f287]) ).
fof(f1283,plain,
( ~ sQ57_spl
| ~ sQ82_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f1275,f934,f1256,f599]) ).
fof(f1307,definition,
( sQ83_spl
<=> growth_rate(efficient_producers,sK0_skl(sK2_skl)) = growth_rate(first_movers,sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1308,plain,
( ~ sQ83_spl
| growth_rate(efficient_producers,sK0_skl(sK2_skl)) = growth_rate(first_movers,sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f1307]) ).
fof(f1319,plain,
( ~ sQ54_spl
| ~ greater(zero,growth_rate(efficient_producers,equilibrium(sK2_skl)))
| sP0_prd(equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f563,f48]) ).
fof(f1322,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1319,f672,f558,f562]) ).
fof(f1328,plain,
( ~ sQ43_spl
| ~ sQ37_spl
| ~ sQ5_spl
| greater(growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))),zero) ),
inference(resolution,[status(thm)],[f661,f1246]) ).
fof(f1329,plain,
( ~ sQ37_spl
| ~ sQ5_spl
| ~ greater(zero,growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))))
| sP0_prd(sK3_skl(equilibrium(sK2_skl))) ),
inference(resolution,[status(thm)],[f661,f48]) ).
fof(f1332,plain,
( ~ sQ37_spl
| ~ sQ5_spl
| ~ sQ57_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1329,f498,f599,f81,f287]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ57_spl
| greater(zero,X0)
| ~ greater(growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))),X0) ),
inference(resolution,[status(thm)],[f600,f11]) ).
fof(f1338,plain,
( ~ sQ83_spl
| growth_rate(first_movers,sK0_skl(sK2_skl)) != zero
| growth_rate(first_movers,sK0_skl(sK2_skl)) != zero
| sP0_prd(sK0_skl(sK2_skl)) ),
inference(paramodulation,[status(thm)],[f1308,f47]) ).
fof(f1339,plain,
( ~ sQ83_spl
| ~ sQ73_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f1338,f977,f942,f1307]) ).
fof(f1344,plain,
( ~ sQ43_spl
| ~ sQ37_spl
| ~ sQ5_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))))
| ~ in_environment(sK2_skl,equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f1328,f40]) ).
fof(f1347,plain,
( ~ sQ43_spl
| ~ sQ37_spl
| ~ sQ5_spl
| ~ sQ46_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f1344,f793,f501,f81,f287,f491]) ).
fof(f1353,plain,
( ~ sQ43_spl
| ~ sQ37_spl
| ~ sQ5_spl
| ~ sQ57_spl
| greater(zero,zero) ),
inference(resolution,[status(thm)],[f1336,f1328]) ).
fof(f1354,plain,
( ~ sQ43_spl
| ~ sQ57_spl
| greater(zero,growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl)))) ),
inference(resolution,[status(thm)],[f1336,f492]) ).
fof(f1355,plain,
( ~ sQ43_spl
| ~ sQ37_spl
| ~ sQ5_spl
| ~ sQ57_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1353,f675,f599,f81,f287,f491]) ).
fof(f1356,plain,
( ~ sQ43_spl
| ~ sQ57_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f1354,f501,f599,f491]) ).
fof(f1357,plain,
( sQ32_spl
| ~ sQ5_spl
| ~ sP0_prd(sK3_skl(equilibrium(sK2_skl))) ),
inference(forward_demodulation,[status(thm)],[f82,f251]) ).
fof(f1358,plain,
( sQ32_spl
| ~ sQ5_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1357,f499]) ).
fof(f1359,plain,
( sQ32_spl
| ~ sQ5_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1358]) ).
fof(f1362,plain,
( ~ sQ34_spl
| ~ sQ5_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))))
| ~ in_environment(sK2_skl,equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f646,f40]) ).
fof(f1365,plain,
( ~ sQ34_spl
| ~ sQ5_spl
| ~ sQ46_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f1362,f793,f501,f81,f256]) ).
fof(f1370,plain,
( sQ29_spl
| ~ sQ9_spl
| ~ greater_or_equal(sK1_skl(sK2_skl),sK0_skl(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f100,f241]) ).
fof(f1373,plain,
( ~ sQ17_spl
| sQ29_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f1370]) ).
fof(f1374,plain,
( ~ sQ17_spl
| sQ29_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1373]) ).
fof(f1400,plain,
( ~ sQ45_spl
| greater(growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))),zero)
| growth_rate(efficient_producers,sK3_skl(equilibrium(sK2_skl))) = zero ),
inference(resolution,[status(thm)],[f499,f45]) ).
fof(f1402,plain,
( ~ sQ45_spl
| greater(growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))),zero)
| growth_rate(first_movers,sK3_skl(equilibrium(sK2_skl))) = zero ),
inference(resolution,[status(thm)],[f499,f43]) ).
fof(f1404,plain,
( ~ sQ45_spl
| sQ58_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f1400,f596,f603,f498]) ).
fof(f1406,plain,
( ~ sQ45_spl
| sQ58_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f1402,f607,f603,f498]) ).
fof(f1421,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| greater(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f302,f79]) ).
fof(f1422,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f1421,f164,f138,f78]) ).
fof(f1431,plain,
! [X0] :
( ~ sQ75_spl
| greater(growth_rate(efficient_producers,sK0_skl(sK2_skl)),X0)
| ~ greater(growth_rate(first_movers,sK0_skl(sK2_skl)),X0) ),
inference(resolution,[status(thm)],[f971,f11]) ).
fof(f1439,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| greater(sK3_skl(sK1_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f306,f133]) ).
fof(f1440,plain,
( ~ sQ4_spl
| ~ sQ8_spl
| greater(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f306,f79]) ).
fof(f1458,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f1439,f18]) ).
fof(f1459,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f1458,f239,f96,f132]) ).
fof(f1486,plain,
( ~ sQ29_spl
| sK3_skl(sK1_skl(sK2_skl)) = sK0_skl(sK2_skl)
| greater(sK3_skl(sK1_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f240,f17]) ).
fof(f1487,definition,
( sQ85_spl
<=> greater(sK3_skl(sK1_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1490,definition,
( sQ86_spl
<=> sK3_skl(sK1_skl(sK2_skl)) = sK0_skl(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1491,plain,
( ~ sQ86_spl
| sK3_skl(sK1_skl(sK2_skl)) = sK0_skl(sK2_skl) ),
inference(component_clause,[status(thm)],[f1490]) ).
fof(f1493,plain,
( ~ sQ29_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f1486,f1487,f1490,f239]) ).
fof(f1494,plain,
! [X0] :
( ~ sQ30_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),X0)
| ~ greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),X0) ),
inference(resolution,[status(thm)],[f243,f11]) ).
fof(f1497,plain,
( ~ sQ4_spl
| ~ sQ8_spl
| greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f1440,f18]) ).
fof(f1498,plain,
( ~ sQ4_spl
| ~ sQ8_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1497,f246,f96,f78]) ).
fof(f1512,plain,
( ~ sQ32_spl
| ~ sQ86_spl
| sP0_prd(sK0_skl(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f1491,f250]) ).
fof(f1513,plain,
( ~ sQ32_spl
| ~ sQ86_spl
| sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1512,f979]) ).
fof(f1514,plain,
( ~ sQ32_spl
| ~ sQ86_spl
| sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f1513]) ).
fof(f1515,plain,
( ~ sQ30_spl
| ~ sQ38_spl
| ~ sQ35_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f301,f675,f280,f291,f242]) ).
fof(f1523,plain,
( ~ sQ36_spl
| ~ sQ35_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f299,f675,f280,f283]) ).
fof(f1567,plain,
( ~ sQ31_spl
| sK3_skl(sK1_skl(sK2_skl)) = equilibrium(sK2_skl)
| greater(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f247,f17]) ).
fof(f1568,definition,
( sQ87_spl
<=> greater(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1571,definition,
( sQ88_spl
<=> sK3_skl(sK1_skl(sK2_skl)) = equilibrium(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1572,plain,
( ~ sQ88_spl
| sK3_skl(sK1_skl(sK2_skl)) = equilibrium(sK2_skl) ),
inference(component_clause,[status(thm)],[f1571]) ).
fof(f1574,plain,
( ~ sQ31_spl
| sQ88_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f1567,f1568,f1571,f246]) ).
fof(f1577,plain,
( ~ sQ2_spl
| ~ sQ88_spl
| subpopulations(first_movers,efficient_producers,sK2_skl,equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f1572,f75]) ).
fof(f1595,plain,
( ~ sQ2_spl
| ~ sQ88_spl
| greater(growth_rate(efficient_producers,equilibrium(sK2_skl)),growth_rate(first_movers,equilibrium(sK2_skl)))
| ~ greater_or_equal(equilibrium(sK2_skl),sK0_skl(sK2_skl))
| ~ stable(sK2_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f1577,f29]) ).
fof(f1596,plain,
( ~ sQ2_spl
| ~ sQ88_spl
| greater(zero,growth_rate(first_movers,equilibrium(sK2_skl)))
| sP0_prd(equilibrium(sK2_skl))
| ~ greater_or_equal(equilibrium(sK2_skl),equilibrium(sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f1577,f25]) ).
fof(f1597,plain,
( ~ sQ2_spl
| ~ sQ88_spl
| greater(growth_rate(efficient_producers,equilibrium(sK2_skl)),zero)
| sP0_prd(equilibrium(sK2_skl))
| ~ greater_or_equal(equilibrium(sK2_skl),equilibrium(sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f1577,f24]) ).
fof(f1598,plain,
( ~ sQ2_spl
| ~ sQ88_spl
| sQ66_spl
| ~ sQ65_spl
| ~ sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1595,f52,f106,f847,f850,f1571,f65]) ).
fof(f1599,plain,
( ~ sQ2_spl
| ~ sQ88_spl
| sQ68_spl
| sQ60_spl
| ~ sQ67_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1596,f52,f854,f672,f857,f1571,f65]) ).
fof(f1600,plain,
( ~ sQ2_spl
| ~ sQ88_spl
| sQ69_spl
| sQ60_spl
| ~ sQ67_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1597,f52,f854,f672,f861,f1571,f65]) ).
fof(f1613,plain,
( sQ33_spl
| ~ sQ88_spl
| ~ greater(zero,growth_rate(first_movers,equilibrium(sK2_skl))) ),
inference(forward_demodulation,[status(thm)],[f1572,f254]) ).
fof(f1677,plain,
( ~ sQ72_spl
| ~ sQ75_spl
| greater(growth_rate(efficient_producers,sK0_skl(sK2_skl)),zero) ),
inference(resolution,[status(thm)],[f1431,f939]) ).
fof(f1691,plain,
( ~ sQ35_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))))
| ~ greater(zero,zero)
| ~ in_environment(sK2_skl,sK1_skl(sK2_skl)) ),
inference(paramodulation,[status(thm)],[f281,f40]) ).
fof(f1694,plain,
( ~ sQ35_spl
| ~ sQ33_spl
| ~ sQ61_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1691,f65,f675,f252,f280]) ).
fof(f1702,plain,
( sQ33_spl
| ~ sQ38_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f292,f254]) ).
fof(f1703,plain,
( sQ33_spl
| ~ sQ38_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1702,f676]) ).
fof(f1704,plain,
( sQ33_spl
| ~ sQ38_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1703]) ).
fof(f1716,plain,
( sQ35_spl
| ~ sQ88_spl
| growth_rate(efficient_producers,equilibrium(sK2_skl)) != zero ),
inference(backward_demodulation,[status(thm)],[f1572,f282]) ).
fof(f1723,plain,
( ~ sQ37_spl
| ~ sQ88_spl
| greater(growth_rate(first_movers,equilibrium(sK2_skl)),zero) ),
inference(backward_demodulation,[status(thm)],[f1572,f288]) ).
fof(f1761,definition,
( sQ90_spl
<=> growth_rate(efficient_producers,equilibrium(sK2_skl)) = growth_rate(first_movers,equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1762,plain,
( ~ sQ90_spl
| growth_rate(efficient_producers,equilibrium(sK2_skl)) = growth_rate(first_movers,equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f1761]) ).
fof(f1767,plain,
( ~ sQ53_spl
| ~ sQ90_spl
| greater(zero,growth_rate(first_movers,equilibrium(sK2_skl))) ),
inference(backward_demodulation,[status(thm)],[f1762,f559]) ).
fof(f1772,plain,
( ~ sQ53_spl
| ~ sQ90_spl
| sQ33_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1767,f1613]) ).
fof(f1773,plain,
( ~ sQ53_spl
| ~ sQ90_spl
| sQ33_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f1772]) ).
fof(f1776,plain,
( ~ sQ72_spl
| ~ sQ75_spl
| greater_or_equal(growth_rate(efficient_producers,sK0_skl(sK2_skl)),zero) ),
inference(resolution,[status(thm)],[f1677,f18]) ).
fof(f1779,plain,
! [X0] :
( ~ sQ66_spl
| greater(growth_rate(efficient_producers,equilibrium(sK2_skl)),X0)
| ~ greater(growth_rate(first_movers,equilibrium(sK2_skl)),X0) ),
inference(resolution,[status(thm)],[f851,f11]) ).
fof(f1792,plain,
( ~ sQ37_spl
| ~ sQ88_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f1723,f562,f1571,f287]) ).
fof(f1794,plain,
( ~ sQ52_spl
| sQ35_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f556,f1716]) ).
fof(f1795,plain,
( ~ sQ52_spl
| sQ35_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f1794]) ).
fof(f1828,plain,
( ~ sQ72_spl
| ~ sQ75_spl
| growth_rate(efficient_producers,sK0_skl(sK2_skl)) = zero
| greater(growth_rate(efficient_producers,sK0_skl(sK2_skl)),zero) ),
inference(resolution,[status(thm)],[f1776,f17]) ).
fof(f1829,plain,
( ~ sQ72_spl
| ~ sQ75_spl
| sQ70_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f1828,f984,f931,f970,f938]) ).
fof(f1830,plain,
! [X0] :
( ~ sQ33_spl
| greater(zero,X0)
| ~ greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),X0) ),
inference(resolution,[status(thm)],[f253,f11]) ).
fof(f1838,plain,
! [X0] :
( ~ sQ36_spl
| greater(zero,X0)
| ~ greater(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),X0) ),
inference(resolution,[status(thm)],[f284,f11]) ).
fof(f1840,plain,
( ~ sQ30_spl
| ~ sQ37_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
inference(resolution,[status(thm)],[f288,f1494]) ).
fof(f1856,plain,
( ~ sQ54_spl
| ~ sQ66_spl
| greater(growth_rate(efficient_producers,equilibrium(sK2_skl)),zero) ),
inference(resolution,[status(thm)],[f1779,f563]) ).
fof(f1862,plain,
( ~ sQ54_spl
| ~ sQ66_spl
| greater_or_equal(growth_rate(efficient_producers,equilibrium(sK2_skl)),zero) ),
inference(resolution,[status(thm)],[f1856,f18]) ).
fof(f1869,plain,
( ~ sQ37_spl
| ~ sQ33_spl
| greater(zero,zero) ),
inference(resolution,[status(thm)],[f1830,f288]) ).
fof(f1870,plain,
( ~ sQ37_spl
| ~ sQ33_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1869,f675,f252,f287]) ).
fof(f1895,plain,
( ~ sQ54_spl
| ~ sQ66_spl
| growth_rate(efficient_producers,equilibrium(sK2_skl)) = zero
| greater(growth_rate(efficient_producers,equilibrium(sK2_skl)),zero) ),
inference(resolution,[status(thm)],[f1862,f17]) ).
fof(f1896,plain,
( ~ sQ54_spl
| ~ sQ66_spl
| sQ52_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f1895,f861,f555,f850,f562]) ).
fof(f1920,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| greater(zero,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f1838,f243]) ).
fof(f1922,plain,
( ~ sQ30_spl
| ~ sQ37_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))))
| ~ in_environment(sK2_skl,sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f1840,f40]) ).
fof(f1925,plain,
( ~ sQ30_spl
| ~ sQ37_spl
| ~ sQ33_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1922,f65,f252,f287,f242]) ).
fof(f1927,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f1920,f252,f283,f242]) ).
fof(f1941,plain,
( ~ sQ34_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))))
| ~ in_environment(sK2_skl,sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f257,f40]) ).
fof(f1944,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1941,f65,f252,f256]) ).
fof(f1982,plain,
( sQ31_spl
| ~ sQ9_spl
| ~ greater_or_equal(sK1_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f100,f248]) ).
fof(f1983,plain,
( sQ31_spl
| ~ sQ9_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1982,f71]) ).
fof(f1984,plain,
( sQ31_spl
| ~ sQ9_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1983]) ).
fof(f1985,plain,
$false,
inference(sat_refutation,[status(thm)],[f58,f60,f68,f73,f84,f92,f102,f115,f125,f129,f141,f170,f191,f207,f231,f245,f255,f259,f261,f263,f286,f290,f294,f295,f315,f328,f411,f440,f442,f476,f478,f494,f504,f510,f512,f522,f532,f550,f561,f565,f569,f570,f574,f577,f602,f606,f610,f635,f638,f678,f680,f681,f695,f698,f704,f734,f736,f749,f762,f763,f773,f786,f796,f800,f803,f826,f838,f841,f874,f900,f937,f945,f946,f961,f973,f987,f989,f991,f999,f1009,f1015,f1031,f1033,f1034,f1036,f1038,f1040,f1101,f1103,f1114,f1137,f1139,f1140,f1141,f1147,f1157,f1158,f1160,f1161,f1176,f1178,f1183,f1190,f1209,f1213,f1215,f1217,f1259,f1277,f1278,f1279,f1282,f1283,f1322,f1332,f1339,f1347,f1355,f1356,f1359,f1365,f1374,f1404,f1406,f1422,f1459,f1493,f1498,f1514,f1515,f1523,f1574,f1598,f1599,f1600,f1694,f1704,f1773,f1792,f1795,f1829,f1870,f1896,f1925,f1927,f1944,f1984]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT029+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 01:27:44 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 1.25/0.77 % Refutation found
% 1.25/0.77 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.25/0.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.57/0.79 % Elapsed time: 0.424351 seconds
% 2.57/0.79 % CPU time: 3.112482 seconds
% 2.57/0.79 % Total memory used: 112.165 MB
% 2.57/0.79 % Net memory used: 108.460 MB
%------------------------------------------------------------------------------