%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT035+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 : n017.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 01:25:21 PM UTC 2026
% Result : Theorem 0.14s 16.06s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 139
% Syntax : Number of formulae : 825 ( 8 unt; 131 def)
% Number of atoms : 2688 ( 153 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3373 (1510 ~;1662 |; 56 &)
% ( 134 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 140 ( 138 usr; 131 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 289 ( 281 !; 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,S1,S2,T] :
( ( subpopulations(S1,S2,E,T)
& environment(E) )
=> ( ( greater(zero,growth_rate(S1,T))
& greater_or_equal(growth_rate(S2,T),zero) )
<=> outcompetes(S2,S1,T) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,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(f6,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(f7,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(f8,conjecture,
! [E] :
( ( stable(E)
& environment(E) )
=> ? [To] :
( ! [T] :
( ( greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,E,T) )
=> outcompetes(efficient_producers,first_movers,T) )
& in_environment(E,To) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ! [E] :
( ( stable(E)
& environment(E) )
=> ? [To] :
( ! [T] :
( ( greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,E,T) )
=> outcompetes(efficient_producers,first_movers,T) )
& in_environment(E,To) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [X,Y,Z] :
( greater(X,Z)
| ~ greater(Y,Z)
| ~ greater(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [X,Z] :
( greater(X,Z)
| ! [Y] :
( ~ greater(Y,Z)
| ~ greater(X,Y) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f12,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,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(f14,plain,
! [T1,T2] :
( greater(T1,T2)
| T2 = T1
| greater(T2,T1)
| ! [E] :
( ~ in_environment(E,T2)
| ~ in_environment(E,T1) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f15,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)],[f14]) ).
fof(f16,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(f17,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)],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f20,plain,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f21,plain,
! [E,S1,S2,T] :
( ( ( greater(zero,growth_rate(S1,T))
& greater_or_equal(growth_rate(S2,T),zero) )
<=> outcompetes(S2,S1,T) )
| ~ subpopulations(S1,S2,E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
! [E,S1,S2,T] :
( ( ( ~ outcompetes(S2,S1,T)
| ( greater(zero,growth_rate(S1,T))
& greater_or_equal(growth_rate(S2,T),zero) ) )
& ( outcompetes(S2,S1,T)
| ~ greater(zero,growth_rate(S1,T))
| ~ greater_or_equal(growth_rate(S2,T),zero) ) )
| ~ subpopulations(S1,S2,E,T)
| ~ environment(E) ),
inference(NNF_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [S1,S2,T] :
( ( ( ~ outcompetes(S2,S1,T)
| ( greater(zero,growth_rate(S1,T))
& greater_or_equal(growth_rate(S2,T),zero) ) )
& ( outcompetes(S2,S1,T)
| ~ greater(zero,growth_rate(S1,T))
| ~ greater_or_equal(growth_rate(S2,T),zero) ) )
| ! [E] :
( ~ subpopulations(S1,S2,E,T)
| ~ environment(E) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( outcompetes(X2,X1,X3)
| ~ greater(zero,growth_rate(X1,X3))
| ~ greater_or_equal(growth_rate(X2,X3),zero)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f27,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)],[f5]) ).
fof(f28,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(f29,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)],[f27,f28]) ).
fof(f30,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)],[f29]) ).
fof(f31,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)],[f30]) ).
fof(f32,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)],[f30]) ).
fof(f33,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)],[f6]) ).
fof(f34,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))],[f33]) ).
fof(f35,plain,
! [X0] :
( in_environment(X0,sK0_skl(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,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)],[f34]) ).
fof(f37,plain,
! [E] :
( ? [T] :
( greater_or_equal(T,equilibrium(E))
& in_environment(E,T) )
| ~ stable(E)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f38,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))],[f37]) ).
fof(f39,plain,
! [X0] :
( in_environment(X0,sK1_skl(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0] :
( greater_or_equal(sK1_skl(X0),equilibrium(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f41,plain,
? [E] :
( ! [To] :
( ? [T] :
( ~ outcompetes(efficient_producers,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)],[f9]) ).
fof(f42,plain,
( ! [To] :
( ( ~ outcompetes(efficient_producers,first_movers,sK3_skl(To))
& 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))],[f41]) ).
fof(f43,plain,
environment(sK2_skl),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
stable(sK2_skl),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f45,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,sK2_skl,sK3_skl(X0))
| ~ in_environment(sK2_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f46,plain,
! [X0] :
( greater_or_equal(sK3_skl(X0),X0)
| ~ in_environment(sK2_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f47,plain,
! [X0] :
( ~ outcompetes(efficient_producers,first_movers,sK3_skl(X0))
| ~ in_environment(sK2_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f48,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)],[f28]) ).
fof(f49,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)],[f48]) ).
fof(f50,plain,
! [X0] :
( greater(growth_rate(first_movers,X0),zero)
| growth_rate(first_movers,X0) = zero
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [X0] :
( greater(zero,growth_rate(efficient_producers,X0))
| growth_rate(first_movers,X0) = zero
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f52,plain,
! [X0] :
( greater(growth_rate(first_movers,X0),zero)
| growth_rate(efficient_producers,X0) = zero
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f53,plain,
! [X0] :
( greater(zero,growth_rate(efficient_producers,X0))
| growth_rate(efficient_producers,X0) = zero
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f54,plain,
! [X0] :
( growth_rate(efficient_producers,X0) != zero
| growth_rate(first_movers,X0) != zero
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f55,plain,
! [X0] :
( ~ greater(zero,growth_rate(efficient_producers,X0))
| ~ greater(growth_rate(first_movers,X0),zero)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f56,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f20]) ).
fof(f58,plain,
( in_environment(sK2_skl,sK0_skl(sK2_skl))
| ~ stable(sK2_skl) ),
inference(resolution,[status(thm)],[f35,f43]) ).
fof(f59,definition,
( sQ0_spl
<=> stable(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f61,plain,
( sQ0_spl
| ~ stable(sK2_skl) ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,definition,
( sQ1_spl
<=> in_environment(sK2_skl,sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f63,plain,
( ~ sQ1_spl
| in_environment(sK2_skl,sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f65,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f58,f59,f62]) ).
fof(f66,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f61,f44]) ).
fof(f67,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f66]) ).
fof(f68,plain,
( in_environment(sK2_skl,sK1_skl(sK2_skl))
| ~ stable(sK2_skl) ),
inference(resolution,[status(thm)],[f39,f43]) ).
fof(f69,definition,
( sQ2_spl
<=> in_environment(sK2_skl,sK1_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f70,plain,
( ~ sQ2_spl
| in_environment(sK2_skl,sK1_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f72,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f68,f59,f69]) ).
fof(f73,plain,
( greater_or_equal(sK1_skl(sK2_skl),equilibrium(sK2_skl))
| ~ stable(sK2_skl) ),
inference(resolution,[status(thm)],[f40,f43]) ).
fof(f74,definition,
( sQ3_spl
<=> greater_or_equal(sK1_skl(sK2_skl),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f75,plain,
( ~ sQ3_spl
| greater_or_equal(sK1_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f77,plain,
( sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f73,f59,f74]) ).
fof(f78,plain,
( ~ sQ1_spl
| greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f63,f46]) ).
fof(f79,plain,
( ~ sQ1_spl
| subpopulations(first_movers,efficient_producers,sK2_skl,sK3_skl(sK0_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f63,f45]) ).
fof(f80,plain,
! [X0] :
( ~ sQ1_spl
| greater(X0,sK0_skl(sK2_skl))
| sK0_skl(sK2_skl) = X0
| greater(sK0_skl(sK2_skl),X0)
| ~ in_environment(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f63,f15]) ).
fof(f81,plain,
( ~ sQ2_spl
| greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f70,f46]) ).
fof(f82,plain,
( ~ sQ2_spl
| subpopulations(first_movers,efficient_producers,sK2_skl,sK3_skl(sK1_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f70,f45]) ).
fof(f83,plain,
! [X0] :
( ~ sQ2_spl
| greater(X0,sK1_skl(sK2_skl))
| sK1_skl(sK2_skl) = X0
| greater(sK1_skl(sK2_skl),X0)
| ~ in_environment(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f70,f15]) ).
fof(f84,plain,
( ~ sQ3_spl
| sK1_skl(sK2_skl) = equilibrium(sK2_skl)
| greater(sK1_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f75,f18]) ).
fof(f85,definition,
( sQ4_spl
<=> greater(sK1_skl(sK2_skl),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ4_spl
| greater(sK1_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,definition,
( sQ5_spl
<=> sK1_skl(sK2_skl) = equilibrium(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( ~ sQ5_spl
| sK1_skl(sK2_skl) = equilibrium(sK2_skl) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,plain,
( ~ sQ3_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f84,f85,f88,f74]) ).
fof(f92,plain,
! [X0] :
( ~ sQ4_spl
| greater(X0,equilibrium(sK2_skl))
| ~ greater(X0,sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f86,f12]) ).
fof(f94,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)],[f78,f18]) ).
fof(f95,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(f96,plain,
( ~ sQ6_spl
| greater(sK3_skl(sK0_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,definition,
( sQ7_spl
<=> sK3_skl(sK0_skl(sK2_skl)) = sK0_skl(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( ~ sQ7_spl
| sK3_skl(sK0_skl(sK2_skl)) = sK0_skl(sK2_skl) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,plain,
( ~ sQ1_spl
| sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f94,f95,f98,f62]) ).
fof(f102,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)],[f79,f36]) ).
fof(f103,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)],[f79,f32]) ).
fof(f104,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)],[f79,f31]) ).
fof(f107,definition,
( sQ8_spl
<=> environment(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( sQ8_spl
| ~ environment(sK2_skl) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,definition,
( sQ9_spl
<=> greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( sQ9_spl
| ~ greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,definition,
( sQ10_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,[sQ10_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ10_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)],[f113]) ).
fof(f116,plain,
( ~ sQ1_spl
| sQ10_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f102,f107,f59,f110,f113,f62]) ).
fof(f117,definition,
( sQ11_spl
<=> greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( sQ11_spl
| ~ greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,definition,
( sQ12_spl
<=> sP0_prd(sK3_skl(sK0_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( ~ sQ12_spl
| sP0_prd(sK3_skl(sK0_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,definition,
( sQ13_spl
<=> greater(zero,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ13_spl
| greater(zero,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f125,plain,
( sQ13_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,plain,
( ~ sQ1_spl
| sQ13_spl
| sQ12_spl
| ~ sQ11_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f103,f107,f117,f120,f123,f62]) ).
fof(f127,definition,
( sQ14_spl
<=> greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ14_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( sQ14_spl
| ~ greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( ~ sQ1_spl
| sQ14_spl
| sQ12_spl
| ~ sQ11_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f104,f107,f117,f120,f127,f62]) ).
fof(f131,definition,
( sQ15_spl
<=> outcompetes(efficient_producers,first_movers,sK3_skl(sK0_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( ~ sQ15_spl
| outcompetes(efficient_producers,first_movers,sK3_skl(sK0_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f135,definition,
( sQ16_spl
<=> greater_or_equal(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ16_spl
| greater_or_equal(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f137,plain,
( sQ16_spl
| ~ greater_or_equal(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f139,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f109,f43]) ).
fof(f140,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f139]) ).
fof(f141,plain,
( sQ9_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f78]) ).
fof(f142,plain,
( sQ9_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f141]) ).
fof(f143,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| greater(sK1_skl(sK2_skl),sK0_skl(sK2_skl))
| sK0_skl(sK2_skl) = sK1_skl(sK2_skl)
| greater(sK0_skl(sK2_skl),sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f80,f70]) ).
fof(f145,definition,
( sQ17_spl
<=> greater(sK0_skl(sK2_skl),sK1_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ17_spl
| greater(sK0_skl(sK2_skl),sK1_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,definition,
( sQ18_spl
<=> sK0_skl(sK2_skl) = sK1_skl(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ18_spl
| sK0_skl(sK2_skl) = sK1_skl(sK2_skl) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,definition,
( sQ19_spl
<=> greater(sK1_skl(sK2_skl),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( ~ sQ19_spl
| greater(sK1_skl(sK2_skl),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ19_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f143,f145,f148,f151,f62,f69]) ).
fof(f162,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)],[f81,f18]) ).
fof(f163,definition,
( sQ22_spl
<=> greater(sK3_skl(sK1_skl(sK2_skl)),sK1_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( ~ sQ22_spl
| greater(sK3_skl(sK1_skl(sK2_skl)),sK1_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f165,plain,
( sQ22_spl
| ~ greater(sK3_skl(sK1_skl(sK2_skl)),sK1_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,definition,
( sQ23_spl
<=> sK3_skl(sK1_skl(sK2_skl)) = sK1_skl(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ23_spl
| sK3_skl(sK1_skl(sK2_skl)) = sK1_skl(sK2_skl) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f168,plain,
( sQ23_spl
| sK3_skl(sK1_skl(sK2_skl)) != sK1_skl(sK2_skl) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,plain,
( ~ sQ2_spl
| sQ23_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f162,f163,f166,f69]) ).
fof(f172,plain,
( ~ sQ2_spl
| ~ sQ23_spl
| subpopulations(first_movers,efficient_producers,sK2_skl,sK1_skl(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f167,f82]) ).
fof(f173,plain,
( ~ sQ23_spl
| ~ outcompetes(efficient_producers,first_movers,sK1_skl(sK2_skl))
| ~ in_environment(sK2_skl,sK1_skl(sK2_skl)) ),
inference(paramodulation,[status(thm)],[f167,f47]) ).
fof(f174,definition,
( sQ24_spl
<=> outcompetes(efficient_producers,first_movers,sK1_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( sQ24_spl
| ~ outcompetes(efficient_producers,first_movers,sK1_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f173,f69,f174,f166]) ).
fof(f178,plain,
! [X0,X1] :
( ~ sQ13_spl
| outcompetes(X1,first_movers,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))),zero)
| ~ subpopulations(first_movers,X1,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f124,f24]) ).
fof(f179,plain,
! [X0] :
( ~ sQ13_spl
| greater(X0,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))))
| ~ greater(X0,zero) ),
inference(resolution,[status(thm)],[f124,f12]) ).
fof(f181,plain,
! [X0] :
( ~ sQ10_spl
| greater(X0,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))))
| ~ greater(X0,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f114,f12]) ).
fof(f182,plain,
( ~ sQ10_spl
| greater_or_equal(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f114,f19]) ).
fof(f183,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)],[f83,f70]) ).
fof(f185,definition,
( sQ25_spl
<=> greater(sK1_skl(sK2_skl),sK1_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ25_spl
| greater(sK1_skl(sK2_skl),sK1_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,definition,
( sQ26_spl
<=> sK1_skl(sK2_skl) = sK1_skl(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ2_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f183,f185,f188,f69]) ).
fof(f196,definition,
( sQ27_spl
<=> 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,[sQ27_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ27_spl
| 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)],[f196]) ).
fof(f200,plain,
( ~ sQ12_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)],[f121,f53]) ).
fof(f201,plain,
( ~ sQ12_spl
| greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),zero)
| growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) = zero ),
inference(resolution,[status(thm)],[f121,f52]) ).
fof(f202,plain,
( ~ sQ12_spl
| greater(zero,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))))
| growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) = zero ),
inference(resolution,[status(thm)],[f121,f51]) ).
fof(f203,plain,
( ~ sQ12_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)],[f121,f50]) ).
fof(f204,definition,
( sQ28_spl
<=> growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) = zero ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ28_spl
| growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) = zero ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,definition,
( sQ29_spl
<=> greater(zero,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ29_spl
| greater(zero,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f209,plain,
( sQ29_spl
| ~ greater(zero,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,plain,
( ~ sQ12_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f200,f204,f207,f120]) ).
fof(f211,definition,
( sQ30_spl
<=> greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ30_spl
| greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f213,plain,
( sQ30_spl
| ~ greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,plain,
( ~ sQ12_spl
| sQ30_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f201,f204,f211,f120]) ).
fof(f215,definition,
( sQ31_spl
<=> growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) = zero ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ31_spl
| growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) = zero ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f217,plain,
( sQ31_spl
| growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) != zero ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( ~ sQ12_spl
| sQ29_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f202,f215,f207,f120]) ).
fof(f219,plain,
( ~ sQ12_spl
| sQ30_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f203,f215,f211,f120]) ).
fof(f221,plain,
( ~ sQ10_spl
| ~ sQ31_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(backward_demodulation,[status(thm)],[f216,f114]) ).
fof(f223,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f216,f124]) ).
fof(f224,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f216,f212]) ).
fof(f227,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f205,f208]) ).
fof(f229,plain,
( ~ sQ10_spl
| ~ sQ31_spl
| ~ sQ28_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f205,f221]) ).
fof(f230,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)],[f82,f36]) ).
fof(f231,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)],[f82,f32]) ).
fof(f232,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)],[f82,f31]) ).
fof(f235,definition,
( sQ32_spl
<=> greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( sQ32_spl
| ~ greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ33_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,[sQ33_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ33_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)],[f238]) ).
fof(f241,plain,
( ~ sQ2_spl
| sQ33_spl
| ~ sQ32_spl
| ~ sQ0_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f230,f107,f59,f235,f238,f69]) ).
fof(f242,definition,
( sQ34_spl
<=> greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ34_spl
| greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f244,plain,
( sQ34_spl
| ~ greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,definition,
( sQ35_spl
<=> sP0_prd(sK3_skl(sK1_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ35_spl
| sP0_prd(sK3_skl(sK1_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,definition,
( sQ36_spl
<=> greater(zero,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ36_spl
| greater(zero,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( sQ36_spl
| ~ greater(zero,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( ~ sQ2_spl
| sQ36_spl
| sQ35_spl
| ~ sQ34_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f231,f107,f242,f245,f248,f69]) ).
fof(f252,definition,
( sQ37_spl
<=> greater(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ37_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( ~ sQ2_spl
| sQ37_spl
| sQ35_spl
| ~ sQ34_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f232,f107,f242,f245,f252,f69]) ).
fof(f256,definition,
( sQ38_spl
<=> outcompetes(efficient_producers,first_movers,sK3_skl(sK1_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ38_spl
| outcompetes(efficient_producers,first_movers,sK3_skl(sK1_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f260,definition,
( sQ39_spl
<=> greater_or_equal(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ39_spl
| greater_or_equal(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f267,plain,
( ~ sQ31_spl
| ~ greater(zero,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))))
| ~ greater(zero,zero)
| sP0_prd(sK3_skl(sK0_skl(sK2_skl))) ),
inference(paramodulation,[status(thm)],[f216,f55]) ).
fof(f269,plain,
! [X0,X1] :
( ~ sQ31_spl
| outcompetes(X1,first_movers,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater(zero,zero)
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))),zero)
| ~ subpopulations(first_movers,X1,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f216,f24]) ).
fof(f270,plain,
! [X0,X1] :
( ~ sQ31_spl
| outcompetes(first_movers,X1,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))))
| ~ greater_or_equal(zero,zero)
| ~ subpopulations(X1,first_movers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f216,f24]) ).
fof(f272,definition,
( sQ40_spl
<=> greater(zero,zero) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| ~ sQ40_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f267,f120,f272,f207,f215]) ).
fof(f280,definition,
! [X0,X1] :
( sQ42_spl
<=> ( outcompetes(X1,first_movers,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))),zero)
| ~ subpopulations(first_movers,X1,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f281,plain,
! [X0,X1] :
( ~ sQ42_spl
| outcompetes(X1,first_movers,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))),zero)
| ~ subpopulations(first_movers,X1,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( ~ sQ31_spl
| ~ sQ40_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f269,f280,f272,f215]) ).
fof(f284,definition,
! [X0,X1] :
( sQ43_spl
<=> ( outcompetes(first_movers,X1,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))))
| ~ subpopulations(X1,first_movers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f285,plain,
! [X0,X1] :
( ~ sQ43_spl
| outcompetes(first_movers,X1,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))))
| ~ subpopulations(X1,first_movers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,definition,
( sQ44_spl
<=> greater_or_equal(zero,zero) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( sQ44_spl
| ~ greater_or_equal(zero,zero) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,plain,
( ~ sQ31_spl
| ~ sQ44_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f270,f284,f287,f215]) ).
fof(f291,plain,
( sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f56]) ).
fof(f292,plain,
sQ44_spl,
inference(contradiction_clause,[status(thm)],[f291]) ).
fof(f293,plain,
! [X0,X1] :
( ~ sQ36_spl
| outcompetes(X1,first_movers,sK3_skl(sK1_skl(sK2_skl)))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))),zero)
| ~ subpopulations(first_movers,X1,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f249,f24]) ).
fof(f294,plain,
! [X0] :
( ~ sQ36_spl
| greater(X0,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))))
| ~ greater(X0,zero) ),
inference(resolution,[status(thm)],[f249,f12]) ).
fof(f296,plain,
! [X0] :
( ~ sQ37_spl
| greater(X0,zero)
| ~ greater(X0,growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f253,f12]) ).
fof(f297,plain,
( ~ sQ37_spl
| greater_or_equal(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
inference(resolution,[status(thm)],[f253,f19]) ).
fof(f300,plain,
! [X0] :
( ~ sQ19_spl
| greater(X0,sK0_skl(sK2_skl))
| ~ greater(X0,sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f152,f12]) ).
fof(f301,plain,
( ~ sQ19_spl
| greater_or_equal(sK1_skl(sK2_skl),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f152,f19]) ).
fof(f302,plain,
( ~ sQ4_spl
| ~ sQ22_spl
| greater(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f164,f92]) ).
fof(f311,plain,
( ~ sQ35_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)],[f246,f53]) ).
fof(f312,plain,
( ~ sQ35_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)],[f246,f52]) ).
fof(f315,definition,
( sQ45_spl
<=> growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))) = zero ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ45_spl
| growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))) = zero ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,definition,
( sQ46_spl
<=> greater(zero,growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ46_spl
| greater(zero,growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,plain,
( ~ sQ35_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f311,f315,f318,f245]) ).
fof(f322,definition,
( sQ47_spl
<=> greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ47_spl
| greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( ~ sQ35_spl
| sQ47_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f312,f315,f322,f245]) ).
fof(f326,definition,
( sQ48_spl
<=> growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) = zero ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ48_spl
| growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) = zero ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f328,plain,
( sQ48_spl
| growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) != zero ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f335,plain,
( ~ sQ33_spl
| ~ sQ48_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
inference(backward_demodulation,[status(thm)],[f327,f239]) ).
fof(f345,plain,
( sQ11_spl
| ~ sQ18_spl
| ~ greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f149,f119]) ).
fof(f364,plain,
( sQ32_spl
| ~ sQ18_spl
| ~ greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),sK1_skl(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f149,f237]) ).
fof(f382,plain,
( ~ sQ25_spl
| ~ sQ5_spl
| greater(sK1_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f89,f186]) ).
fof(f390,plain,
( sQ24_spl
| ~ sQ5_spl
| ~ outcompetes(efficient_producers,first_movers,equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f89,f176]) ).
fof(f420,plain,
! [X0,X1] :
( ~ sQ45_spl
| outcompetes(efficient_producers,X1,sK3_skl(sK1_skl(sK2_skl)))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))))
| ~ greater_or_equal(zero,zero)
| ~ subpopulations(X1,efficient_producers,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f316,f24]) ).
fof(f425,definition,
! [X0,X1] :
( sQ50_spl
<=> ( outcompetes(efficient_producers,X1,sK3_skl(sK1_skl(sK2_skl)))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))))
| ~ subpopulations(X1,efficient_producers,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f426,plain,
! [X0,X1] :
( ~ sQ50_spl
| outcompetes(efficient_producers,X1,sK3_skl(sK1_skl(sK2_skl)))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))))
| ~ subpopulations(X1,efficient_producers,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f420,f425,f287,f315]) ).
fof(f430,plain,
! [X0] :
( ~ sQ47_spl
| greater(X0,zero)
| ~ greater(X0,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f323,f12]) ).
fof(f431,plain,
( ~ sQ47_spl
| greater_or_equal(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
inference(resolution,[status(thm)],[f323,f19]) ).
fof(f448,plain,
! [X0,X1] :
( ~ sQ29_spl
| outcompetes(X1,efficient_producers,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))),zero)
| ~ subpopulations(efficient_producers,X1,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f208,f24]) ).
fof(f449,plain,
! [X0] :
( ~ sQ29_spl
| greater(X0,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))))
| ~ greater(X0,zero) ),
inference(resolution,[status(thm)],[f208,f12]) ).
fof(f452,plain,
! [X0] :
( ~ sQ30_spl
| greater(X0,zero)
| ~ greater(X0,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f212,f12]) ).
fof(f453,plain,
( ~ sQ30_spl
| greater_or_equal(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(resolution,[status(thm)],[f212,f19]) ).
fof(f458,plain,
( ~ sQ10_spl
| ~ sQ28_spl
| greater(zero,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(backward_demodulation,[status(thm)],[f205,f114]) ).
fof(f460,plain,
( ~ sQ10_spl
| ~ sQ31_spl
| ~ sQ28_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f229,f272,f204,f215,f113]) ).
fof(f467,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f224,f272,f215,f211]) ).
fof(f468,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f223,f272,f215,f123]) ).
fof(f506,plain,
! [X0] :
( ~ sQ46_spl
| greater(X0,growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))))
| ~ greater(X0,zero) ),
inference(resolution,[status(thm)],[f319,f12]) ).
fof(f521,plain,
! [X0] :
( ~ sQ14_spl
| greater(X0,zero)
| ~ greater(X0,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f128,f12]) ).
fof(f522,plain,
( ~ sQ14_spl
| greater_or_equal(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(resolution,[status(thm)],[f128,f19]) ).
fof(f525,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f179,f323]) ).
fof(f528,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| greater(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f146,f92]) ).
fof(f529,plain,
! [X0] :
( ~ sQ17_spl
| greater(X0,sK1_skl(sK2_skl))
| ~ greater(X0,sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f146,f12]) ).
fof(f530,plain,
( ~ sQ17_spl
| greater_or_equal(sK0_skl(sK2_skl),sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f146,f19]) ).
fof(f531,plain,
! [X0] :
( ~ sQ33_spl
| greater(X0,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))))
| ~ greater(X0,growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f239,f12]) ).
fof(f533,plain,
( ~ sQ14_spl
| ~ sQ36_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f294,f128]) ).
fof(f537,plain,
( ~ sQ39_spl
| growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))) = zero
| greater(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
inference(resolution,[status(thm)],[f261,f18]) ).
fof(f538,plain,
( ~ sQ39_spl
| sQ45_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f537,f252,f315,f260]) ).
fof(f565,plain,
( ~ sQ16_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)],[f136,f18]) ).
fof(f566,plain,
( ~ sQ16_spl
| sQ28_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f565,f127,f204,f135]) ).
fof(f573,plain,
( sQ29_spl
| ~ sQ28_spl
| ~ greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f205,f209]) ).
fof(f575,plain,
( sQ29_spl
| ~ sQ28_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f573,f272,f204,f207]) ).
fof(f588,plain,
( ~ sQ36_spl
| ~ sQ30_spl
| greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f212,f294]) ).
fof(f600,plain,
( ~ sQ4_spl
| ~ sQ22_spl
| greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f302,f19]) ).
fof(f601,plain,
( ~ sQ4_spl
| ~ sQ22_spl
| sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f600,f244]) ).
fof(f602,plain,
( ~ sQ4_spl
| ~ sQ22_spl
| sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f601]) ).
fof(f606,plain,
( ~ sQ22_spl
| ~ sQ19_spl
| greater(sK3_skl(sK1_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f300,f164]) ).
fof(f612,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| greater_or_equal(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f525,f19]) ).
fof(f617,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ36_spl
| outcompetes(efficient_producers,first_movers,sK3_skl(sK1_skl(sK2_skl)))
| ~ greater_or_equal(zero,zero)
| ~ subpopulations(first_movers,efficient_producers,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f316,f293]) ).
fof(f618,definition,
! [X0] :
( sQ51_spl
<=> ( ~ subpopulations(first_movers,efficient_producers,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f619,plain,
! [X0] :
( ~ sQ51_spl
| ~ subpopulations(first_movers,efficient_producers,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f621,plain,
( ~ sQ45_spl
| ~ sQ36_spl
| sQ38_spl
| ~ sQ44_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f617,f618,f287,f256,f248,f315]) ).
fof(f627,plain,
( ~ sQ14_spl
| ~ sQ36_spl
| greater_or_equal(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f533,f19]) ).
fof(f629,plain,
( ~ sQ36_spl
| ~ sQ30_spl
| greater_or_equal(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f588,f19]) ).
fof(f631,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| greater_or_equal(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f528,f19]) ).
fof(f633,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| greater(sK3_skl(sK0_skl(sK2_skl)),sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f529,f96]) ).
fof(f637,plain,
( ~ sQ29_spl
| ~ sQ14_spl
| greater(zero,zero) ),
inference(resolution,[status(thm)],[f521,f208]) ).
fof(f639,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ14_spl
| outcompetes(efficient_producers,first_movers,sK3_skl(sK0_skl(sK2_skl)))
| ~ subpopulations(first_movers,efficient_producers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f522,f178]) ).
fof(f642,definition,
! [X0] :
( sQ52_spl
<=> ( ~ subpopulations(first_movers,efficient_producers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f643,plain,
! [X0] :
( ~ sQ52_spl
| ~ subpopulations(first_movers,efficient_producers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sQ15_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f639,f642,f131,f127,f123]) ).
fof(f650,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ43_spl
| outcompetes(first_movers,first_movers,sK3_skl(sK0_skl(sK2_skl)))
| ~ subpopulations(first_movers,first_movers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f285,f124]) ).
fof(f658,definition,
! [X0] :
( sQ55_spl
<=> ( ~ subpopulations(first_movers,first_movers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f661,definition,
( sQ56_spl
<=> outcompetes(first_movers,first_movers,sK3_skl(sK0_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( ~ sQ13_spl
| ~ sQ43_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f650,f658,f661,f284,f123]) ).
fof(f674,definition,
( sQ57_spl
<=> 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,[sQ57_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ57_spl
| 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)],[f674]) ).
fof(f679,plain,
( ~ sQ14_spl
| ~ sQ46_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f506,f128]) ).
fof(f680,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f506,f323]) ).
fof(f681,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) = growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))
| greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f612,f18]) ).
fof(f682,definition,
( sQ58_spl
<=> greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f683,plain,
( ~ sQ58_spl
| greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,definition,
( sQ59_spl
<=> growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) = growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f686,plain,
( ~ sQ59_spl
| growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) = growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| sQ59_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f681,f682,f685,f123,f322]) ).
fof(f691,plain,
( sQ31_spl
| ~ sQ59_spl
| growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) != zero ),
inference(backward_demodulation,[status(thm)],[f686,f217]) ).
fof(f710,plain,
( sQ31_spl
| ~ sQ59_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f691,f326,f685,f215]) ).
fof(f736,plain,
! [X0,X1] :
( ~ sQ48_spl
| outcompetes(X1,first_movers,sK3_skl(sK1_skl(sK2_skl)))
| ~ greater(zero,zero)
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))),zero)
| ~ subpopulations(first_movers,X1,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f327,f24]) ).
fof(f737,plain,
! [X0,X1] :
( ~ sQ48_spl
| outcompetes(first_movers,X1,sK3_skl(sK1_skl(sK2_skl)))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))))
| ~ greater_or_equal(zero,zero)
| ~ subpopulations(X1,first_movers,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f327,f24]) ).
fof(f741,definition,
! [X0,X1] :
( sQ60_spl
<=> ( outcompetes(X1,first_movers,sK3_skl(sK1_skl(sK2_skl)))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))),zero)
| ~ subpopulations(first_movers,X1,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f742,plain,
! [X0,X1] :
( ~ sQ60_spl
| outcompetes(X1,first_movers,sK3_skl(sK1_skl(sK2_skl)))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))),zero)
| ~ subpopulations(first_movers,X1,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,plain,
( ~ sQ48_spl
| ~ sQ40_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f736,f741,f272,f326]) ).
fof(f745,definition,
! [X0,X1] :
( sQ61_spl
<=> ( outcompetes(first_movers,X1,sK3_skl(sK1_skl(sK2_skl)))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))))
| ~ subpopulations(X1,first_movers,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( ~ sQ48_spl
| ~ sQ44_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f737,f745,f287,f326]) ).
fof(f750,plain,
( ~ sQ33_spl
| ~ sQ45_spl
| greater(zero,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(forward_demodulation,[status(thm)],[f316,f239]) ).
fof(f754,plain,
( ~ sQ58_spl
| ~ sQ48_spl
| greater(zero,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(backward_demodulation,[status(thm)],[f327,f683]) ).
fof(f762,plain,
( ~ sQ58_spl
| ~ sQ48_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f754,f123,f326,f682]) ).
fof(f767,plain,
( ~ sQ33_spl
| ~ sQ48_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f335,f252,f326,f238]) ).
fof(f774,plain,
( sQ36_spl
| ~ sQ48_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f327,f250]) ).
fof(f810,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sK0_skl(sK2_skl) = equilibrium(sK2_skl)
| greater(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f631,f18]) ).
fof(f811,definition,
( sQ62_spl
<=> greater(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( ~ sQ62_spl
| greater(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,definition,
( sQ63_spl
<=> sK0_skl(sK2_skl) = equilibrium(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( ~ sQ63_spl
| sK0_skl(sK2_skl) = equilibrium(sK2_skl) ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f816,plain,
( sQ63_spl
| sK0_skl(sK2_skl) != equilibrium(sK2_skl) ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sQ63_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f810,f811,f814,f145,f85]) ).
fof(f827,plain,
( sQ11_spl
| ~ sQ63_spl
| ~ greater_or_equal(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f815,f119]) ).
fof(f829,plain,
( sQ32_spl
| ~ sQ63_spl
| ~ greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f815,f237]) ).
fof(f833,plain,
( ~ sQ1_spl
| ~ sQ63_spl
| greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f815,f78]) ).
fof(f849,plain,
( sQ32_spl
| ~ sQ63_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f829,f242,f814,f235]) ).
fof(f852,plain,
( ~ sQ1_spl
| ~ sQ63_spl
| greater_or_equal(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f815,f833]) ).
fof(f853,plain,
( ~ sQ1_spl
| ~ sQ63_spl
| sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f852,f827]) ).
fof(f854,plain,
( ~ sQ1_spl
| ~ sQ63_spl
| sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f853]) ).
fof(f899,plain,
( ~ sQ62_spl
| greater_or_equal(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f812,f19]) ).
fof(f906,definition,
( sQ64_spl
<=> greater(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f909,definition,
( sQ65_spl
<=> sK3_skl(sK1_skl(sK2_skl)) = equilibrium(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f910,plain,
( ~ sQ65_spl
| sK3_skl(sK1_skl(sK2_skl)) = equilibrium(sK2_skl) ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f915,plain,
( ~ sQ48_spl
| ~ sQ65_spl
| growth_rate(first_movers,equilibrium(sK2_skl)) = zero ),
inference(backward_demodulation,[status(thm)],[f910,f327]) ).
fof(f919,plain,
( ~ sQ35_spl
| ~ sQ65_spl
| sP0_prd(equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f910,f246]) ).
fof(f922,plain,
( ~ sQ2_spl
| ~ sQ65_spl
| greater_or_equal(equilibrium(sK2_skl),sK1_skl(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f910,f81]) ).
fof(f923,plain,
( ~ sQ2_spl
| ~ sQ65_spl
| subpopulations(first_movers,efficient_producers,sK2_skl,equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f910,f82]) ).
fof(f930,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ sQ65_spl
| outcompetes(efficient_producers,X1,equilibrium(sK2_skl))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))))
| ~ subpopulations(X1,efficient_producers,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ),
inference(backward_demodulation,[status(thm)],[f910,f426]) ).
fof(f937,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ sQ65_spl
| outcompetes(efficient_producers,X1,equilibrium(sK2_skl))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))))
| ~ subpopulations(X1,efficient_producers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(forward_demodulation,[status(thm)],[f910,f930]) ).
fof(f938,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ sQ65_spl
| outcompetes(efficient_producers,X1,equilibrium(sK2_skl))
| ~ greater(zero,growth_rate(X1,equilibrium(sK2_skl)))
| ~ subpopulations(X1,efficient_producers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(forward_demodulation,[status(thm)],[f910,f937]) ).
fof(f939,plain,
( ~ sQ35_spl
| ~ sQ65_spl
| greater(zero,growth_rate(efficient_producers,equilibrium(sK2_skl)))
| growth_rate(efficient_producers,equilibrium(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f919,f53]) ).
fof(f940,plain,
( ~ sQ35_spl
| ~ sQ65_spl
| greater(growth_rate(first_movers,equilibrium(sK2_skl)),zero)
| growth_rate(efficient_producers,equilibrium(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f919,f52]) ).
fof(f941,plain,
( ~ sQ35_spl
| ~ sQ65_spl
| greater(zero,growth_rate(efficient_producers,equilibrium(sK2_skl)))
| growth_rate(first_movers,equilibrium(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f919,f51]) ).
fof(f942,plain,
( ~ sQ35_spl
| ~ sQ65_spl
| greater(growth_rate(first_movers,equilibrium(sK2_skl)),zero)
| growth_rate(first_movers,equilibrium(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f919,f50]) ).
fof(f943,definition,
( sQ66_spl
<=> growth_rate(efficient_producers,equilibrium(sK2_skl)) = zero ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f944,plain,
( ~ sQ66_spl
| growth_rate(efficient_producers,equilibrium(sK2_skl)) = zero ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f946,definition,
( sQ67_spl
<=> greater(zero,growth_rate(efficient_producers,equilibrium(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f947,plain,
( ~ sQ67_spl
| greater(zero,growth_rate(efficient_producers,equilibrium(sK2_skl))) ),
inference(component_clause,[status(thm)],[f946]) ).
fof(f949,plain,
( ~ sQ35_spl
| ~ sQ65_spl
| sQ67_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f939,f943,f946,f909,f245]) ).
fof(f950,definition,
( sQ68_spl
<=> greater(growth_rate(first_movers,equilibrium(sK2_skl)),zero) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f951,plain,
( ~ sQ68_spl
| greater(growth_rate(first_movers,equilibrium(sK2_skl)),zero) ),
inference(component_clause,[status(thm)],[f950]) ).
fof(f953,plain,
( ~ sQ35_spl
| ~ sQ65_spl
| sQ68_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f940,f943,f950,f909,f245]) ).
fof(f954,definition,
( sQ69_spl
<=> growth_rate(first_movers,equilibrium(sK2_skl)) = zero ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( ~ sQ69_spl
| growth_rate(first_movers,equilibrium(sK2_skl)) = zero ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,plain,
( ~ sQ35_spl
| ~ sQ65_spl
| sQ67_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f941,f954,f946,f909,f245]) ).
fof(f958,plain,
( ~ sQ35_spl
| ~ sQ65_spl
| sQ68_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f942,f954,f950,f909,f245]) ).
fof(f962,plain,
( ~ sQ68_spl
| ~ sQ69_spl
| greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f955,f951]) ).
fof(f963,plain,
( ~ sQ67_spl
| ~ sQ66_spl
| greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f944,f947]) ).
fof(f964,plain,
( ~ sQ68_spl
| ~ sQ69_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f962,f272,f954,f950]) ).
fof(f965,plain,
( ~ sQ67_spl
| ~ sQ66_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f963,f272,f943,f946]) ).
fof(f1009,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ43_spl
| outcompetes(first_movers,first_movers,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater(zero,zero)
| ~ subpopulations(first_movers,first_movers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f216,f285]) ).
fof(f1010,plain,
( ~ sQ31_spl
| ~ sQ43_spl
| sQ56_spl
| ~ sQ40_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1009,f658,f272,f661,f284,f215]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ42_spl
| outcompetes(efficient_producers,first_movers,sK3_skl(sK0_skl(sK2_skl)))
| ~ subpopulations(first_movers,efficient_producers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f281,f522]) ).
fof(f1015,plain,
( ~ sQ14_spl
| ~ sQ42_spl
| sQ15_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1013,f642,f131,f280,f127]) ).
fof(f1017,plain,
( ~ sQ1_spl
| ~ sQ52_spl
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f643,f79]) ).
fof(f1018,plain,
( ~ sQ1_spl
| ~ sQ52_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1017,f107,f642,f62]) ).
fof(f1022,plain,
( ~ sQ22_spl
| ~ sQ19_spl
| greater_or_equal(sK3_skl(sK1_skl(sK2_skl)),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f606,f19]) ).
fof(f1023,plain,
( ~ sQ22_spl
| ~ sQ19_spl
| sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1022,f237]) ).
fof(f1024,plain,
( ~ sQ22_spl
| ~ sQ19_spl
| sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1023]) ).
fof(f1027,plain,
( ~ sQ48_spl
| ~ sQ23_spl
| growth_rate(first_movers,sK1_skl(sK2_skl)) = zero ),
inference(backward_demodulation,[status(thm)],[f167,f327]) ).
fof(f1029,plain,
( ~ sQ35_spl
| ~ sQ23_spl
| sP0_prd(sK1_skl(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f167,f246]) ).
fof(f1033,plain,
( sQ22_spl
| ~ sQ23_spl
| ~ greater(sK1_skl(sK2_skl),sK1_skl(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f167,f165]) ).
fof(f1051,plain,
( ~ sQ2_spl
| ~ sQ23_spl
| greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK1_skl(sK2_skl)))
| ~ greater_or_equal(sK1_skl(sK2_skl),sK0_skl(sK2_skl))
| ~ stable(sK2_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f172,f36]) ).
fof(f1052,plain,
( ~ sQ2_spl
| ~ sQ23_spl
| greater(zero,growth_rate(first_movers,sK1_skl(sK2_skl)))
| sP0_prd(sK1_skl(sK2_skl))
| ~ greater_or_equal(sK1_skl(sK2_skl),equilibrium(sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f172,f32]) ).
fof(f1053,plain,
( ~ sQ2_spl
| ~ sQ23_spl
| greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero)
| sP0_prd(sK1_skl(sK2_skl))
| ~ greater_or_equal(sK1_skl(sK2_skl),equilibrium(sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f172,f31]) ).
fof(f1056,definition,
( sQ70_spl
<=> greater_or_equal(sK1_skl(sK2_skl),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( ~ sQ70_spl
| greater_or_equal(sK1_skl(sK2_skl),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1058,plain,
( sQ70_spl
| ~ greater_or_equal(sK1_skl(sK2_skl),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1059,definition,
( sQ71_spl
<=> greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK1_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1060,plain,
( ~ sQ71_spl
| greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK1_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f1059]) ).
fof(f1062,plain,
( ~ sQ2_spl
| ~ sQ23_spl
| sQ71_spl
| ~ sQ70_spl
| ~ sQ0_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1051,f107,f59,f1056,f1059,f166,f69]) ).
fof(f1063,definition,
( sQ72_spl
<=> sP0_prd(sK1_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1064,plain,
( ~ sQ72_spl
| sP0_prd(sK1_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1066,definition,
( sQ73_spl
<=> greater(zero,growth_rate(first_movers,sK1_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1067,plain,
( ~ sQ73_spl
| greater(zero,growth_rate(first_movers,sK1_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1069,plain,
( ~ sQ2_spl
| ~ sQ23_spl
| sQ73_spl
| sQ72_spl
| ~ sQ3_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1052,f107,f74,f1063,f1066,f166,f69]) ).
fof(f1070,definition,
( sQ74_spl
<=> greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1071,plain,
( ~ sQ74_spl
| greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero) ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1072,plain,
( sQ74_spl
| ~ greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero) ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1073,plain,
( ~ sQ2_spl
| ~ sQ23_spl
| sQ74_spl
| sQ72_spl
| ~ sQ3_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1053,f107,f74,f1063,f1070,f166,f69]) ).
fof(f1075,definition,
( sQ75_spl
<=> greater_or_equal(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1076,plain,
( ~ sQ75_spl
| greater_or_equal(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero) ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1077,plain,
( sQ75_spl
| ~ greater_or_equal(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero) ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1098,definition,
! [X0,X1] :
( sQ76_spl
<=> ( outcompetes(X1,efficient_producers,sK1_skl(sK2_skl))
| ~ greater_or_equal(growth_rate(X1,sK1_skl(sK2_skl)),zero)
| ~ subpopulations(efficient_producers,X1,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1099,plain,
! [X0,X1] :
( ~ sQ76_spl
| outcompetes(X1,efficient_producers,sK1_skl(sK2_skl))
| ~ greater_or_equal(growth_rate(X1,sK1_skl(sK2_skl)),zero)
| ~ subpopulations(efficient_producers,X1,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1102,definition,
! [X0,X1] :
( sQ77_spl
<=> ( outcompetes(efficient_producers,X1,sK1_skl(sK2_skl))
| ~ greater(zero,growth_rate(X1,sK1_skl(sK2_skl)))
| ~ subpopulations(X1,efficient_producers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1103,plain,
! [X0,X1] :
( ~ sQ77_spl
| outcompetes(efficient_producers,X1,sK1_skl(sK2_skl))
| ~ greater(zero,growth_rate(X1,sK1_skl(sK2_skl)))
| ~ subpopulations(X1,efficient_producers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1109,plain,
( ~ sQ35_spl
| ~ sQ23_spl
| greater(zero,growth_rate(efficient_producers,sK1_skl(sK2_skl)))
| growth_rate(efficient_producers,sK1_skl(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f1029,f53]) ).
fof(f1110,plain,
( ~ sQ35_spl
| ~ sQ23_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),zero)
| growth_rate(efficient_producers,sK1_skl(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f1029,f52]) ).
fof(f1111,plain,
( ~ sQ35_spl
| ~ sQ23_spl
| greater(zero,growth_rate(efficient_producers,sK1_skl(sK2_skl)))
| growth_rate(first_movers,sK1_skl(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f1029,f51]) ).
fof(f1112,plain,
( ~ sQ35_spl
| ~ sQ23_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),zero)
| growth_rate(first_movers,sK1_skl(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f1029,f50]) ).
fof(f1113,definition,
( sQ78_spl
<=> growth_rate(efficient_producers,sK1_skl(sK2_skl)) = zero ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1114,plain,
( ~ sQ78_spl
| growth_rate(efficient_producers,sK1_skl(sK2_skl)) = zero ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1116,definition,
( sQ79_spl
<=> greater(zero,growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1117,plain,
( ~ sQ79_spl
| greater(zero,growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f1116]) ).
fof(f1118,plain,
( sQ79_spl
| ~ greater(zero,growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f1116]) ).
fof(f1119,plain,
( ~ sQ35_spl
| ~ sQ23_spl
| sQ79_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f1109,f1113,f1116,f166,f245]) ).
fof(f1120,definition,
( sQ80_spl
<=> greater(growth_rate(first_movers,sK1_skl(sK2_skl)),zero) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1121,plain,
( ~ sQ80_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),zero) ),
inference(component_clause,[status(thm)],[f1120]) ).
fof(f1123,plain,
( ~ sQ35_spl
| ~ sQ23_spl
| sQ80_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f1110,f1113,f1120,f166,f245]) ).
fof(f1124,definition,
( sQ81_spl
<=> growth_rate(first_movers,sK1_skl(sK2_skl)) = zero ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1125,plain,
( ~ sQ81_spl
| growth_rate(first_movers,sK1_skl(sK2_skl)) = zero ),
inference(component_clause,[status(thm)],[f1124]) ).
fof(f1127,plain,
( ~ sQ35_spl
| ~ sQ23_spl
| sQ79_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1111,f1124,f1116,f166,f245]) ).
fof(f1128,plain,
( ~ sQ35_spl
| ~ sQ23_spl
| sQ80_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1112,f1124,f1120,f166,f245]) ).
fof(f1137,plain,
( ~ sQ48_spl
| ~ sQ23_spl
| growth_rate(efficient_producers,sK1_skl(sK2_skl)) != zero
| sP0_prd(sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f1027,f54]) ).
fof(f1140,plain,
! [X0,X1] :
( ~ sQ48_spl
| ~ sQ23_spl
| outcompetes(X1,first_movers,sK1_skl(sK2_skl))
| ~ greater(zero,zero)
| ~ greater_or_equal(growth_rate(X1,sK1_skl(sK2_skl)),zero)
| ~ subpopulations(first_movers,X1,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f1027,f24]) ).
fof(f1141,plain,
! [X0,X1] :
( ~ sQ48_spl
| ~ sQ23_spl
| outcompetes(first_movers,X1,sK1_skl(sK2_skl))
| ~ greater(zero,growth_rate(X1,sK1_skl(sK2_skl)))
| ~ greater_or_equal(zero,zero)
| ~ subpopulations(X1,first_movers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f1027,f24]) ).
fof(f1142,plain,
( ~ sQ48_spl
| ~ sQ23_spl
| ~ sQ78_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f1137,f1063,f1113,f166,f326]) ).
fof(f1145,definition,
! [X0,X1] :
( sQ82_spl
<=> ( outcompetes(X1,first_movers,sK1_skl(sK2_skl))
| ~ greater_or_equal(growth_rate(X1,sK1_skl(sK2_skl)),zero)
| ~ subpopulations(first_movers,X1,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1146,plain,
! [X0,X1] :
( ~ sQ82_spl
| outcompetes(X1,first_movers,sK1_skl(sK2_skl))
| ~ greater_or_equal(growth_rate(X1,sK1_skl(sK2_skl)),zero)
| ~ subpopulations(first_movers,X1,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,plain,
( ~ sQ48_spl
| ~ sQ23_spl
| ~ sQ40_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1140,f1145,f272,f166,f326]) ).
fof(f1149,definition,
! [X0,X1] :
( sQ83_spl
<=> ( outcompetes(first_movers,X1,sK1_skl(sK2_skl))
| ~ greater(zero,growth_rate(X1,sK1_skl(sK2_skl)))
| ~ subpopulations(X1,first_movers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1150,plain,
! [X0,X1] :
( ~ sQ83_spl
| outcompetes(first_movers,X1,sK1_skl(sK2_skl))
| ~ greater(zero,growth_rate(X1,sK1_skl(sK2_skl)))
| ~ subpopulations(X1,first_movers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f1149]) ).
fof(f1152,plain,
( ~ sQ48_spl
| ~ sQ23_spl
| ~ sQ44_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f1141,f1149,f287,f166,f326]) ).
fof(f1159,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ17_spl
| greater(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f633,f92]) ).
fof(f1161,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f633,f19]) ).
fof(f1163,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ17_spl
| greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f1159,f19]) ).
fof(f1164,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ17_spl
| sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1163,f119]) ).
fof(f1165,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ17_spl
| sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1164]) ).
fof(f1178,plain,
( sQ63_spl
| ~ sQ18_spl
| sK1_skl(sK2_skl) != equilibrium(sK2_skl) ),
inference(backward_demodulation,[status(thm)],[f149,f816]) ).
fof(f1193,plain,
( sQ11_spl
| ~ sQ18_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f345,f242,f148,f117]) ).
fof(f1202,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f227,f272,f204,f207]) ).
fof(f1208,plain,
( ~ sQ29_spl
| ~ sQ14_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f637,f272,f127,f207]) ).
fof(f1242,plain,
( ~ sQ81_spl
| growth_rate(efficient_producers,sK1_skl(sK2_skl)) != zero
| sP0_prd(sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f1125,f54]) ).
fof(f1243,plain,
( ~ sQ81_spl
| ~ greater(zero,growth_rate(efficient_producers,sK1_skl(sK2_skl)))
| ~ greater(zero,zero)
| sP0_prd(sK1_skl(sK2_skl)) ),
inference(paramodulation,[status(thm)],[f1125,f55]) ).
fof(f1245,plain,
! [X0,X1] :
( ~ sQ81_spl
| outcompetes(X1,first_movers,sK1_skl(sK2_skl))
| ~ greater(zero,zero)
| ~ greater_or_equal(growth_rate(X1,sK1_skl(sK2_skl)),zero)
| ~ subpopulations(first_movers,X1,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f1125,f24]) ).
fof(f1246,plain,
! [X0,X1] :
( ~ sQ81_spl
| outcompetes(first_movers,X1,sK1_skl(sK2_skl))
| ~ greater(zero,growth_rate(X1,sK1_skl(sK2_skl)))
| ~ greater_or_equal(zero,zero)
| ~ subpopulations(X1,first_movers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f1125,f24]) ).
fof(f1247,plain,
( ~ sQ81_spl
| ~ sQ78_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f1242,f1063,f1113,f1124]) ).
fof(f1248,plain,
( ~ sQ81_spl
| ~ sQ79_spl
| ~ sQ40_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f1243,f1063,f272,f1116,f1124]) ).
fof(f1250,plain,
( ~ sQ81_spl
| ~ sQ40_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1245,f1145,f272,f1124]) ).
fof(f1251,plain,
( ~ sQ81_spl
| ~ sQ44_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f1246,f1149,f287,f1124]) ).
fof(f1252,plain,
! [X0,X1] :
( ~ sQ75_spl
| outcompetes(efficient_producers,X1,sK1_skl(sK2_skl))
| ~ greater(zero,growth_rate(X1,sK1_skl(sK2_skl)))
| ~ subpopulations(X1,efficient_producers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f1076,f24]) ).
fof(f1253,plain,
( ~ sQ75_spl
| growth_rate(efficient_producers,sK1_skl(sK2_skl)) = zero
| greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero) ),
inference(resolution,[status(thm)],[f1076,f18]) ).
fof(f1254,plain,
( ~ sQ75_spl
| sQ78_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f1253,f1070,f1113,f1075]) ).
fof(f1255,plain,
! [X0,X1] :
( ~ sQ78_spl
| outcompetes(X1,efficient_producers,sK1_skl(sK2_skl))
| ~ greater(zero,zero)
| ~ greater_or_equal(growth_rate(X1,sK1_skl(sK2_skl)),zero)
| ~ subpopulations(efficient_producers,X1,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f1114,f24]) ).
fof(f1256,plain,
! [X0,X1] :
( ~ sQ78_spl
| outcompetes(efficient_producers,X1,sK1_skl(sK2_skl))
| ~ greater(zero,growth_rate(X1,sK1_skl(sK2_skl)))
| ~ greater_or_equal(zero,zero)
| ~ subpopulations(X1,efficient_producers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f1114,f24]) ).
fof(f1257,plain,
( ~ sQ78_spl
| ~ sQ40_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f1255,f1098,f272,f1113]) ).
fof(f1258,plain,
( ~ sQ78_spl
| ~ sQ44_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f1256,f1102,f287,f1113]) ).
fof(f1263,plain,
( ~ sQ72_spl
| greater(zero,growth_rate(efficient_producers,sK1_skl(sK2_skl)))
| growth_rate(efficient_producers,sK1_skl(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f1064,f53]) ).
fof(f1264,plain,
( ~ sQ72_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),zero)
| growth_rate(efficient_producers,sK1_skl(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f1064,f52]) ).
fof(f1265,plain,
( ~ sQ72_spl
| greater(zero,growth_rate(efficient_producers,sK1_skl(sK2_skl)))
| growth_rate(first_movers,sK1_skl(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f1064,f51]) ).
fof(f1266,plain,
( ~ sQ72_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),zero)
| growth_rate(first_movers,sK1_skl(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f1064,f50]) ).
fof(f1267,plain,
( ~ sQ72_spl
| sQ79_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f1263,f1113,f1116,f1063]) ).
fof(f1268,plain,
( ~ sQ72_spl
| sQ80_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f1264,f1113,f1120,f1063]) ).
fof(f1269,plain,
( ~ sQ72_spl
| sQ79_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1265,f1124,f1116,f1063]) ).
fof(f1270,plain,
( ~ sQ72_spl
| sQ80_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1266,f1124,f1120,f1063]) ).
fof(f1271,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f1114,f1117]) ).
fof(f1293,plain,
( ~ sQ74_spl
| greater_or_equal(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero) ),
inference(resolution,[status(thm)],[f1071,f19]) ).
fof(f1297,plain,
( ~ sQ34_spl
| sK3_skl(sK1_skl(sK2_skl)) = equilibrium(sK2_skl)
| greater(sK3_skl(sK1_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f243,f18]) ).
fof(f1298,plain,
( ~ sQ34_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1297,f906,f909,f242]) ).
fof(f1323,plain,
( ~ sQ74_spl
| ~ sQ13_spl
| greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f179,f1071]) ).
fof(f1330,plain,
( ~ sQ74_spl
| ~ sQ29_spl
| greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f449,f1071]) ).
fof(f1332,plain,
( ~ sQ74_spl
| ~ sQ13_spl
| greater_or_equal(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f1323,f19]) ).
fof(f1334,plain,
( ~ sQ74_spl
| ~ sQ29_spl
| greater_or_equal(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f1330,f19]) ).
fof(f1338,plain,
( ~ sQ74_spl
| ~ sQ13_spl
| growth_rate(efficient_producers,sK1_skl(sK2_skl)) = growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))
| greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f1332,f18]) ).
fof(f1339,definition,
( sQ84_spl
<=> greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1340,plain,
( ~ sQ84_spl
| greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f1339]) ).
fof(f1342,definition,
( sQ85_spl
<=> growth_rate(efficient_producers,sK1_skl(sK2_skl)) = growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1343,plain,
( ~ sQ85_spl
| growth_rate(efficient_producers,sK1_skl(sK2_skl)) = growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f1342]) ).
fof(f1345,plain,
( ~ sQ74_spl
| ~ sQ13_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f1338,f1339,f1342,f123,f1070]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ85_spl
| greater(X0,growth_rate(efficient_producers,sK1_skl(sK2_skl)))
| ~ greater(X0,zero) ),
inference(backward_demodulation,[status(thm)],[f1343,f179]) ).
fof(f1352,plain,
( ~ sQ13_spl
| ~ sQ85_spl
| greater(zero,growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
inference(backward_demodulation,[status(thm)],[f1343,f124]) ).
fof(f1354,plain,
( ~ sQ10_spl
| ~ sQ85_spl
| greater_or_equal(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
inference(backward_demodulation,[status(thm)],[f1343,f182]) ).
fof(f1357,plain,
( ~ sQ30_spl
| ~ sQ85_spl
| greater_or_equal(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero) ),
inference(backward_demodulation,[status(thm)],[f1343,f453]) ).
fof(f1368,plain,
( ~ sQ85_spl
| ~ greater(zero,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))))
| ~ greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero)
| sP0_prd(sK3_skl(sK0_skl(sK2_skl))) ),
inference(paramodulation,[status(thm)],[f1343,f55]) ).
fof(f1370,plain,
! [X0,X1] :
( ~ sQ85_spl
| outcompetes(X1,first_movers,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater(zero,growth_rate(efficient_producers,sK1_skl(sK2_skl)))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))),zero)
| ~ subpopulations(first_movers,X1,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f1343,f24]) ).
fof(f1371,plain,
! [X0,X1] :
( ~ sQ85_spl
| outcompetes(first_movers,X1,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))))
| ~ greater_or_equal(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero)
| ~ subpopulations(X1,first_movers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f1343,f24]) ).
fof(f1372,plain,
( ~ sQ85_spl
| ~ sQ29_spl
| ~ sQ74_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f1368,f120,f1070,f207,f1342]) ).
fof(f1374,plain,
( ~ sQ85_spl
| ~ sQ79_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1370,f280,f1116,f1342]) ).
fof(f1375,plain,
( ~ sQ85_spl
| ~ sQ75_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f1371,f284,f1075,f1342]) ).
fof(f1376,plain,
( sQ79_spl
| ~ sQ13_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1118,f1352]) ).
fof(f1377,plain,
( sQ79_spl
| ~ sQ13_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1376]) ).
fof(f1390,plain,
( ~ sQ74_spl
| ~ sQ29_spl
| growth_rate(efficient_producers,sK1_skl(sK2_skl)) = growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))
| greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f1334,f18]) ).
fof(f1391,definition,
( sQ86_spl
<=> greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1392,plain,
( ~ sQ86_spl
| greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f1391]) ).
fof(f1394,definition,
( sQ87_spl
<=> growth_rate(efficient_producers,sK1_skl(sK2_skl)) = growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1395,plain,
( ~ sQ87_spl
| growth_rate(efficient_producers,sK1_skl(sK2_skl)) = growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f1394]) ).
fof(f1397,plain,
( ~ sQ74_spl
| ~ sQ29_spl
| sQ87_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f1390,f1391,f1394,f207,f1070]) ).
fof(f1399,plain,
( sQ16_spl
| ~ sQ87_spl
| ~ greater_or_equal(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero) ),
inference(backward_demodulation,[status(thm)],[f1395,f137]) ).
fof(f1402,plain,
( ~ sQ29_spl
| ~ sQ87_spl
| greater(zero,growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
inference(backward_demodulation,[status(thm)],[f1395,f208]) ).
fof(f1411,plain,
( sQ23_spl
| ~ sQ65_spl
| equilibrium(sK2_skl) != sK1_skl(sK2_skl) ),
inference(backward_demodulation,[status(thm)],[f910,f168]) ).
fof(f1425,plain,
( sQ74_spl
| ~ sQ78_spl
| ~ greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f1114,f1072]) ).
fof(f1426,plain,
( ~ sQ84_spl
| ~ sQ78_spl
| greater(zero,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(backward_demodulation,[status(thm)],[f1114,f1340]) ).
fof(f1433,plain,
( sQ16_spl
| ~ sQ87_spl
| ~ sQ78_spl
| ~ greater_or_equal(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f1114,f1399]) ).
fof(f1434,plain,
( sQ16_spl
| ~ sQ87_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1433,f56]) ).
fof(f1435,plain,
( sQ16_spl
| ~ sQ87_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1434]) ).
fof(f1457,plain,
( ~ sQ2_spl
| ~ sQ65_spl
| equilibrium(sK2_skl) = sK1_skl(sK2_skl)
| greater(equilibrium(sK2_skl),sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f922,f18]) ).
fof(f1458,definition,
( sQ88_spl
<=> greater(equilibrium(sK2_skl),sK1_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1459,plain,
( ~ sQ88_spl
| greater(equilibrium(sK2_skl),sK1_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f1458]) ).
fof(f1461,plain,
( ~ sQ2_spl
| ~ sQ65_spl
| sQ5_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1457,f1458,f88,f909,f69]) ).
fof(f1463,plain,
( ~ sQ2_spl
| ~ sQ65_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)],[f923,f32]) ).
fof(f1467,definition,
( sQ89_spl
<=> greater_or_equal(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1468,plain,
( ~ sQ89_spl
| greater_or_equal(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f1467]) ).
fof(f1470,definition,
( sQ90_spl
<=> greater(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(f1472,plain,
( sQ90_spl
| ~ greater(growth_rate(efficient_producers,equilibrium(sK2_skl)),growth_rate(first_movers,equilibrium(sK2_skl))) ),
inference(component_clause,[status(thm)],[f1470]) ).
fof(f1474,definition,
( sQ91_spl
<=> greater_or_equal(equilibrium(sK2_skl),equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1476,plain,
( sQ91_spl
| ~ greater_or_equal(equilibrium(sK2_skl),equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f1474]) ).
fof(f1477,definition,
( sQ92_spl
<=> sP0_prd(equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1478,plain,
( ~ sQ92_spl
| sP0_prd(equilibrium(sK2_skl)) ),
inference(component_clause,[status(thm)],[f1477]) ).
fof(f1480,definition,
( sQ93_spl
<=> greater(zero,growth_rate(first_movers,equilibrium(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1481,plain,
( ~ sQ93_spl
| greater(zero,growth_rate(first_movers,equilibrium(sK2_skl))) ),
inference(component_clause,[status(thm)],[f1480]) ).
fof(f1483,plain,
( ~ sQ2_spl
| ~ sQ65_spl
| sQ93_spl
| sQ92_spl
| ~ sQ91_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1463,f107,f1474,f1477,f1480,f909,f69]) ).
fof(f1484,definition,
( sQ94_spl
<=> greater(growth_rate(efficient_producers,equilibrium(sK2_skl)),zero) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1485,plain,
( ~ sQ94_spl
| greater(growth_rate(efficient_producers,equilibrium(sK2_skl)),zero) ),
inference(component_clause,[status(thm)],[f1484]) ).
fof(f1488,definition,
( sQ95_spl
<=> outcompetes(efficient_producers,first_movers,equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1492,definition,
( sQ96_spl
<=> greater_or_equal(growth_rate(efficient_producers,equilibrium(sK2_skl)),zero) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1493,plain,
( ~ sQ96_spl
| greater_or_equal(growth_rate(efficient_producers,equilibrium(sK2_skl)),zero) ),
inference(component_clause,[status(thm)],[f1492]) ).
fof(f1494,plain,
( sQ96_spl
| ~ greater_or_equal(growth_rate(efficient_producers,equilibrium(sK2_skl)),zero) ),
inference(component_clause,[status(thm)],[f1492]) ).
fof(f1499,plain,
( sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1476,f56]) ).
fof(f1500,plain,
sQ91_spl,
inference(contradiction_clause,[status(thm)],[f1499]) ).
fof(f1531,definition,
! [X0,X1] :
( sQ97_spl
<=> ( outcompetes(X1,first_movers,equilibrium(sK2_skl))
| ~ greater_or_equal(growth_rate(X1,equilibrium(sK2_skl)),zero)
| ~ subpopulations(first_movers,X1,X0,equilibrium(sK2_skl))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1532,plain,
! [X0,X1] :
( ~ sQ97_spl
| outcompetes(X1,first_movers,equilibrium(sK2_skl))
| ~ greater_or_equal(growth_rate(X1,equilibrium(sK2_skl)),zero)
| ~ subpopulations(first_movers,X1,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f1531]) ).
fof(f1535,definition,
! [X0,X1] :
( sQ98_spl
<=> ( outcompetes(first_movers,X1,equilibrium(sK2_skl))
| ~ greater(zero,growth_rate(X1,equilibrium(sK2_skl)))
| ~ subpopulations(X1,first_movers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1541,definition,
! [X0,X1] :
( sQ99_spl
<=> ( outcompetes(X1,efficient_producers,equilibrium(sK2_skl))
| ~ greater_or_equal(growth_rate(X1,equilibrium(sK2_skl)),zero)
| ~ subpopulations(efficient_producers,X1,X0,equilibrium(sK2_skl))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1545,definition,
! [X0,X1] :
( sQ100_spl
<=> ( outcompetes(efficient_producers,X1,equilibrium(sK2_skl))
| ~ greater(zero,growth_rate(X1,equilibrium(sK2_skl)))
| ~ subpopulations(X1,efficient_producers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1562,plain,
( sQ75_spl
| ~ sQ30_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1077,f1357]) ).
fof(f1563,plain,
( sQ75_spl
| ~ sQ30_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1562]) ).
fof(f1568,plain,
( ~ sQ10_spl
| ~ sQ85_spl
| growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) = growth_rate(efficient_producers,sK1_skl(sK2_skl))
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f1354,f18]) ).
fof(f1569,definition,
( sQ101_spl
<=> greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1570,plain,
( ~ sQ101_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f1569]) ).
fof(f1572,plain,
( ~ sQ10_spl
| ~ sQ85_spl
| sQ87_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1568,f1569,f1394,f1342,f113]) ).
fof(f1576,plain,
( ~ sQ80_spl
| ~ greater(zero,growth_rate(efficient_producers,sK1_skl(sK2_skl)))
| sP0_prd(sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f1121,f55]) ).
fof(f1577,plain,
( ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ80_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f1121,f1350]) ).
fof(f1579,plain,
( ~ sQ80_spl
| greater_or_equal(growth_rate(first_movers,sK1_skl(sK2_skl)),zero) ),
inference(resolution,[status(thm)],[f1121,f19]) ).
fof(f1580,plain,
( ~ sQ80_spl
| ~ sQ79_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f1576,f1063,f1116,f1120]) ).
fof(f1592,plain,
( ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ80_spl
| greater_or_equal(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f1577,f19]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ75_spl
| outcompetes(efficient_producers,efficient_producers,sK1_skl(sK2_skl))
| ~ subpopulations(efficient_producers,efficient_producers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f1252,f1352]) ).
fof(f1594,definition,
! [X0] :
( sQ102_spl
<=> ( ~ subpopulations(efficient_producers,efficient_producers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1597,definition,
( sQ103_spl
<=> outcompetes(efficient_producers,efficient_producers,sK1_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1600,plain,
( ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ75_spl
| sQ103_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1593,f1594,f1597,f1075,f1342,f123]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ83_spl
| outcompetes(first_movers,efficient_producers,sK1_skl(sK2_skl))
| ~ subpopulations(efficient_producers,first_movers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f1150,f1352]) ).
fof(f1602,definition,
! [X0] :
( sQ104_spl
<=> ( ~ subpopulations(efficient_producers,first_movers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1605,definition,
( sQ105_spl
<=> outcompetes(first_movers,efficient_producers,sK1_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1608,plain,
( ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ83_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f1601,f1602,f1605,f1149,f1342,f123]) ).
fof(f1612,plain,
( ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ80_spl
| growth_rate(first_movers,sK1_skl(sK2_skl)) = growth_rate(efficient_producers,sK1_skl(sK2_skl))
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f1592,f18]) ).
fof(f1613,definition,
( sQ106_spl
<=> greater(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1614,plain,
( ~ sQ106_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f1613]) ).
fof(f1616,definition,
( sQ107_spl
<=> growth_rate(first_movers,sK1_skl(sK2_skl)) = growth_rate(efficient_producers,sK1_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1617,plain,
( ~ sQ107_spl
| growth_rate(first_movers,sK1_skl(sK2_skl)) = growth_rate(efficient_producers,sK1_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f1616]) ).
fof(f1618,plain,
( sQ107_spl
| growth_rate(first_movers,sK1_skl(sK2_skl)) != growth_rate(efficient_producers,sK1_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f1616]) ).
fof(f1619,plain,
( ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ80_spl
| sQ107_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1612,f1613,f1616,f1120,f1342,f123]) ).
fof(f1644,plain,
( ~ sQ29_spl
| ~ sQ10_spl
| greater(zero,growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f181,f208]) ).
fof(f1649,definition,
( sQ108_spl
<=> greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1650,plain,
( ~ sQ108_spl
| greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f1649]) ).
fof(f1662,definition,
! [X0] :
( sQ111_spl
<=> ( ~ subpopulations(first_movers,first_movers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1665,definition,
( sQ112_spl
<=> outcompetes(first_movers,first_movers,equilibrium(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1670,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ65_spl
| ~ sQ50_spl
| outcompetes(efficient_producers,first_movers,equilibrium(sK2_skl))
| ~ greater(zero,zero)
| ~ subpopulations(first_movers,efficient_producers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f915,f938]) ).
fof(f1678,definition,
! [X0] :
( sQ115_spl
<=> ( ~ subpopulations(first_movers,efficient_producers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ115_spl
| ~ subpopulations(first_movers,efficient_producers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f1678]) ).
fof(f1681,plain,
( ~ sQ48_spl
| ~ sQ65_spl
| ~ sQ50_spl
| sQ95_spl
| ~ sQ40_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f1670,f1678,f272,f1488,f425,f909,f326]) ).
fof(f1686,plain,
! [X0,X1] :
( ~ sQ30_spl
| outcompetes(first_movers,X1,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))))
| ~ subpopulations(X1,first_movers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f453,f24]) ).
fof(f1692,plain,
( ~ sQ10_spl
| ~ sQ30_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(resolution,[status(thm)],[f452,f114]) ).
fof(f1694,plain,
( ~ sQ10_spl
| ~ sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f1692,f127,f211,f113]) ).
fof(f1699,plain,
( ~ sQ15_spl
| ~ in_environment(sK2_skl,sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f132,f47]) ).
fof(f1700,plain,
( ~ sQ15_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1699,f63]) ).
fof(f1701,plain,
( ~ sQ15_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1700]) ).
fof(f1702,plain,
( ~ sQ10_spl
| ~ sQ28_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f458,f123,f204,f113]) ).
fof(f1709,plain,
( sQ14_spl
| ~ sQ28_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f205,f129]) ).
fof(f1716,plain,
( sQ11_spl
| ~ sQ7_spl
| ~ greater_or_equal(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f99,f119]) ).
fof(f1727,plain,
( sQ11_spl
| ~ sQ7_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1716,f899]) ).
fof(f1728,plain,
( sQ11_spl
| ~ sQ7_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1727]) ).
fof(f1737,plain,
( sQ32_spl
| ~ sQ23_spl
| ~ greater_or_equal(sK1_skl(sK2_skl),sK0_skl(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f167,f237]) ).
fof(f1746,plain,
( ~ sQ19_spl
| sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f301,f1058]) ).
fof(f1747,plain,
( ~ sQ19_spl
| sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f1746]) ).
fof(f1766,plain,
( sQ74_spl
| ~ sQ78_spl
| ~ greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f1114,f1072]) ).
fof(f1774,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ sQ65_spl
| outcompetes(efficient_producers,X1,equilibrium(sK2_skl))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))))
| ~ subpopulations(X1,efficient_producers,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ),
inference(backward_demodulation,[status(thm)],[f910,f426]) ).
fof(f1775,plain,
( sQ48_spl
| ~ sQ65_spl
| growth_rate(first_movers,equilibrium(sK2_skl)) != zero ),
inference(backward_demodulation,[status(thm)],[f910,f328]) ).
fof(f1780,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ65_spl
| outcompetes(X1,first_movers,equilibrium(sK2_skl))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))),zero)
| ~ subpopulations(first_movers,X1,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ),
inference(backward_demodulation,[status(thm)],[f910,f742]) ).
fof(f1787,plain,
( sQ74_spl
| ~ sQ78_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1425,f272,f1113,f1070]) ).
fof(f1788,plain,
( sQ14_spl
| ~ sQ28_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1709,f272,f204,f127]) ).
fof(f1789,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1271,f1766]) ).
fof(f1790,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1789]) ).
fof(f1810,plain,
( ~ sQ47_spl
| ~ sQ65_spl
| greater_or_equal(growth_rate(first_movers,equilibrium(sK2_skl)),zero) ),
inference(forward_demodulation,[status(thm)],[f910,f431]) ).
fof(f1825,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ sQ65_spl
| outcompetes(efficient_producers,X1,equilibrium(sK2_skl))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))))
| ~ subpopulations(X1,efficient_producers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(forward_demodulation,[status(thm)],[f910,f1774]) ).
fof(f1826,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ sQ65_spl
| outcompetes(efficient_producers,X1,equilibrium(sK2_skl))
| ~ greater(zero,growth_rate(X1,equilibrium(sK2_skl)))
| ~ subpopulations(X1,efficient_producers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(forward_demodulation,[status(thm)],[f910,f1825]) ).
fof(f1827,plain,
( sQ48_spl
| ~ sQ65_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f1775,f954,f909,f326]) ).
fof(f1872,plain,
( ~ sQ27_spl
| growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) != zero
| growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) != zero
| sP0_prd(sK3_skl(sK0_skl(sK2_skl))) ),
inference(paramodulation,[status(thm)],[f197,f54]) ).
fof(f1874,plain,
! [X0,X1] :
( ~ sQ27_spl
| outcompetes(first_movers,X1,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))))
| ~ greater_or_equal(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),zero)
| ~ subpopulations(X1,first_movers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f197,f24]) ).
fof(f1876,plain,
( ~ sQ27_spl
| ~ sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f1872,f120,f204,f196]) ).
fof(f1878,plain,
( ~ sQ27_spl
| ~ sQ16_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f1874,f284,f135,f196]) ).
fof(f1880,plain,
( ~ sQ92_spl
| greater(zero,growth_rate(efficient_producers,equilibrium(sK2_skl)))
| growth_rate(efficient_producers,equilibrium(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f1478,f53]) ).
fof(f1881,plain,
( ~ sQ92_spl
| greater(growth_rate(first_movers,equilibrium(sK2_skl)),zero)
| growth_rate(efficient_producers,equilibrium(sK2_skl)) = zero ),
inference(resolution,[status(thm)],[f1478,f52]) ).
fof(f1884,plain,
( ~ sQ92_spl
| sQ67_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f1880,f943,f946,f1477]) ).
fof(f1885,plain,
( ~ sQ92_spl
| sQ68_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f1881,f943,f950,f1477]) ).
fof(f1888,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ10_spl
| outcompetes(X1,first_movers,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))),zero)
| ~ subpopulations(first_movers,X1,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f1644,f24]) ).
fof(f1893,plain,
! [X0] :
( ~ sQ86_spl
| greater(X0,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))))
| ~ greater(X0,growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f1392,f12]) ).
fof(f1898,plain,
! [X0] :
( ~ sQ88_spl
| greater(X0,sK1_skl(sK2_skl))
| ~ greater(X0,equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f1459,f12]) ).
fof(f1911,definition,
( sQ116_spl
<=> greater(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1912,plain,
( ~ sQ116_spl
| greater(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(component_clause,[status(thm)],[f1911]) ).
fof(f1956,plain,
( ~ sQ106_spl
| ~ sQ86_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f1893,f1614]) ).
fof(f1959,plain,
( ~ sQ106_spl
| ~ sQ86_spl
| greater_or_equal(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f1956,f19]) ).
fof(f1960,plain,
( ~ sQ106_spl
| ~ sQ86_spl
| growth_rate(first_movers,sK1_skl(sK2_skl)) = growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f1959,f18]) ).
fof(f1961,definition,
( sQ117_spl
<=> greater(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1962,plain,
( ~ sQ117_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f1961]) ).
fof(f1964,definition,
( sQ118_spl
<=> growth_rate(first_movers,sK1_skl(sK2_skl)) = growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1965,plain,
( ~ sQ118_spl
| growth_rate(first_movers,sK1_skl(sK2_skl)) = growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f1964]) ).
fof(f1967,plain,
( ~ sQ106_spl
| ~ sQ86_spl
| sQ118_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1960,f1961,f1964,f1391,f1613]) ).
fof(f1979,plain,
( ~ sQ29_spl
| ~ sQ118_spl
| greater(zero,growth_rate(first_movers,sK1_skl(sK2_skl))) ),
inference(backward_demodulation,[status(thm)],[f1965,f208]) ).
fof(f1990,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ65_spl
| outcompetes(X1,first_movers,equilibrium(sK2_skl))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))),zero)
| ~ subpopulations(first_movers,X1,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(forward_demodulation,[status(thm)],[f910,f1780]) ).
fof(f1991,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ65_spl
| outcompetes(X1,first_movers,equilibrium(sK2_skl))
| ~ greater_or_equal(growth_rate(X1,equilibrium(sK2_skl)),zero)
| ~ subpopulations(first_movers,X1,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(forward_demodulation,[status(thm)],[f910,f1990]) ).
fof(f1992,plain,
( ~ sQ73_spl
| ~ sQ107_spl
| greater(zero,growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
inference(forward_demodulation,[status(thm)],[f1617,f1067]) ).
fof(f1993,plain,
( ~ sQ73_spl
| ~ sQ107_spl
| sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1992,f1118]) ).
fof(f1994,plain,
( ~ sQ73_spl
| ~ sQ107_spl
| sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f1993]) ).
fof(f1995,plain,
( ~ sQ29_spl
| ~ sQ87_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f1402,f1116,f1394,f207]) ).
fof(f2016,plain,
( ~ sQ118_spl
| ~ sQ87_spl
| growth_rate(first_movers,sK1_skl(sK2_skl)) = growth_rate(efficient_producers,sK1_skl(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f1395,f1965]) ).
fof(f2017,plain,
( sQ107_spl
| ~ sQ118_spl
| ~ sQ87_spl
| growth_rate(efficient_producers,sK1_skl(sK2_skl)) != growth_rate(efficient_producers,sK1_skl(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f2016,f1618]) ).
fof(f2018,plain,
( sQ107_spl
| ~ sQ118_spl
| ~ sQ87_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2017]) ).
fof(f2019,plain,
( sQ107_spl
| ~ sQ118_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f2018]) ).
fof(f2041,plain,
( ~ sQ10_spl
| ~ sQ117_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f1962,f181]) ).
fof(f2045,plain,
( ~ sQ10_spl
| ~ sQ117_spl
| greater_or_equal(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f2041,f19]) ).
fof(f2082,plain,
! [X0,X1] :
( ~ sQ47_spl
| ~ sQ65_spl
| outcompetes(first_movers,X1,equilibrium(sK2_skl))
| ~ greater(zero,growth_rate(X1,equilibrium(sK2_skl)))
| ~ subpopulations(X1,first_movers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f1810,f24]) ).
fof(f2087,plain,
( ~ sQ10_spl
| ~ sQ117_spl
| growth_rate(first_movers,sK1_skl(sK2_skl)) = growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f2045,f18]) ).
fof(f2088,definition,
( sQ119_spl
<=> greater(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f2089,plain,
( ~ sQ119_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f2088]) ).
fof(f2091,definition,
( sQ120_spl
<=> growth_rate(first_movers,sK1_skl(sK2_skl)) = growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f2092,plain,
( ~ sQ120_spl
| growth_rate(first_movers,sK1_skl(sK2_skl)) = growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f2091]) ).
fof(f2094,plain,
( ~ sQ10_spl
| ~ sQ117_spl
| sQ120_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f2087,f2088,f2091,f1961,f113]) ).
fof(f2101,plain,
( sQ30_spl
| ~ sQ120_spl
| ~ greater(growth_rate(first_movers,sK1_skl(sK2_skl)),zero) ),
inference(backward_demodulation,[status(thm)],[f2092,f213]) ).
fof(f2118,plain,
( sQ24_spl
| ~ sQ5_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f390,f1488,f88,f174]) ).
fof(f2119,plain,
( ~ sQ5_spl
| sQ23_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f89,f1411]) ).
fof(f2120,plain,
( ~ sQ5_spl
| sQ23_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f2119]) ).
fof(f2148,plain,
( ~ sQ74_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f1293,f1075,f1070]) ).
fof(f2158,plain,
( sQ30_spl
| ~ sQ120_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f2101,f1120,f2091,f211]) ).
fof(f2203,plain,
( ~ sQ29_spl
| ~ sQ10_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1888,f280,f113,f207]) ).
fof(f2220,plain,
! [X0,X1] :
( ~ sQ36_spl
| ~ sQ65_spl
| outcompetes(X1,first_movers,equilibrium(sK2_skl))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))),zero)
| ~ subpopulations(first_movers,X1,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ),
inference(backward_demodulation,[status(thm)],[f910,f293]) ).
fof(f2221,plain,
( ~ sQ47_spl
| ~ sQ65_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f2082,f1535,f909,f322]) ).
fof(f2253,plain,
( ~ sQ59_spl
| ~ sQ65_spl
| growth_rate(first_movers,equilibrium(sK2_skl)) = growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) ),
inference(forward_demodulation,[status(thm)],[f910,f686]) ).
fof(f2259,plain,
( sQ30_spl
| ~ sQ59_spl
| ~ sQ65_spl
| ~ greater(growth_rate(first_movers,equilibrium(sK2_skl)),zero) ),
inference(forward_demodulation,[status(thm)],[f2253,f213]) ).
fof(f2260,plain,
( sQ30_spl
| ~ sQ59_spl
| ~ sQ65_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2259,f951]) ).
fof(f2261,plain,
( sQ30_spl
| ~ sQ59_spl
| ~ sQ65_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f2260]) ).
fof(f2262,plain,
( ~ sQ29_spl
| ~ sQ10_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f1644,f123,f113,f207]) ).
fof(f2267,plain,
! [X0,X1] :
( ~ sQ36_spl
| ~ sQ65_spl
| outcompetes(X1,first_movers,equilibrium(sK2_skl))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))),zero)
| ~ subpopulations(first_movers,X1,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(forward_demodulation,[status(thm)],[f910,f2220]) ).
fof(f2268,plain,
! [X0,X1] :
( ~ sQ36_spl
| ~ sQ65_spl
| outcompetes(X1,first_movers,equilibrium(sK2_skl))
| ~ greater_or_equal(growth_rate(X1,equilibrium(sK2_skl)),zero)
| ~ subpopulations(first_movers,X1,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(forward_demodulation,[status(thm)],[f910,f2267]) ).
fof(f2288,plain,
! [X0,X1] :
( ~ sQ93_spl
| outcompetes(X1,first_movers,equilibrium(sK2_skl))
| ~ greater_or_equal(growth_rate(X1,equilibrium(sK2_skl)),zero)
| ~ subpopulations(first_movers,X1,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f1481,f24]) ).
fof(f2291,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ73_spl
| outcompetes(efficient_producers,first_movers,sK1_skl(sK2_skl))
| ~ subpopulations(first_movers,efficient_producers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f1067,f1103]) ).
fof(f2292,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ73_spl
| outcompetes(first_movers,first_movers,sK1_skl(sK2_skl))
| ~ subpopulations(first_movers,first_movers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f1067,f1150]) ).
fof(f2296,definition,
! [X0] :
( sQ121_spl
<=> ( ~ subpopulations(first_movers,efficient_producers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f2299,plain,
( ~ sQ77_spl
| ~ sQ73_spl
| sQ24_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f2291,f2296,f174,f1066,f1102]) ).
fof(f2300,definition,
! [X0] :
( sQ122_spl
<=> ( ~ subpopulations(first_movers,first_movers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f2303,definition,
( sQ123_spl
<=> outcompetes(first_movers,first_movers,sK1_skl(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f2306,plain,
( ~ sQ83_spl
| ~ sQ73_spl
| sQ123_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f2292,f2300,f2303,f1066,f1149]) ).
fof(f2307,plain,
( ~ sQ80_spl
| ~ sQ107_spl
| greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero) ),
inference(backward_demodulation,[status(thm)],[f1617,f1121]) ).
fof(f2316,plain,
( ~ sQ80_spl
| ~ sQ107_spl
| greater_or_equal(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero) ),
inference(backward_demodulation,[status(thm)],[f1617,f1579]) ).
fof(f2319,plain,
( ~ sQ80_spl
| ~ sQ107_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f2307,f1070,f1616,f1120]) ).
fof(f2320,plain,
( ~ sQ80_spl
| ~ sQ107_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f2316,f1075,f1616,f1120]) ).
fof(f2330,plain,
( ~ sQ70_spl
| sK1_skl(sK2_skl) = sK0_skl(sK2_skl)
| greater(sK1_skl(sK2_skl),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f1057,f18]) ).
fof(f2331,plain,
( ~ sQ70_spl
| sQ18_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f2330,f151,f148,f1056]) ).
fof(f2340,plain,
! [X0] :
( ~ sQ71_spl
| greater(X0,growth_rate(first_movers,sK1_skl(sK2_skl)))
| ~ greater(X0,growth_rate(efficient_producers,sK1_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f1060,f12]) ).
fof(f2357,plain,
( ~ sQ116_spl
| greater_or_equal(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f1912,f19]) ).
fof(f2360,plain,
( ~ sQ4_spl
| ~ sQ88_spl
| greater(sK1_skl(sK2_skl),sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f1898,f86]) ).
fof(f2364,plain,
( ~ sQ68_spl
| ~ greater(zero,growth_rate(efficient_producers,equilibrium(sK2_skl)))
| sP0_prd(equilibrium(sK2_skl)) ),
inference(resolution,[status(thm)],[f951,f55]) ).
fof(f2369,plain,
( ~ sQ68_spl
| ~ sQ67_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f2364,f1477,f946,f950]) ).
fof(f2372,plain,
! [X0,X1] :
( ~ sQ66_spl
| outcompetes(X1,efficient_producers,equilibrium(sK2_skl))
| ~ greater(zero,zero)
| ~ greater_or_equal(growth_rate(X1,equilibrium(sK2_skl)),zero)
| ~ subpopulations(efficient_producers,X1,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f944,f24]) ).
fof(f2373,plain,
! [X0,X1] :
( ~ sQ66_spl
| outcompetes(efficient_producers,X1,equilibrium(sK2_skl))
| ~ greater(zero,growth_rate(X1,equilibrium(sK2_skl)))
| ~ greater_or_equal(zero,zero)
| ~ subpopulations(X1,efficient_producers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f944,f24]) ).
fof(f2374,plain,
( ~ sQ66_spl
| ~ sQ40_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f2372,f1541,f272,f943]) ).
fof(f2375,plain,
( ~ sQ66_spl
| ~ sQ44_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f2373,f1545,f287,f943]) ).
fof(f2398,plain,
( ~ sQ101_spl
| ~ sQ71_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK1_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f2340,f1570]) ).
fof(f2402,plain,
( ~ sQ101_spl
| ~ sQ71_spl
| greater_or_equal(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK1_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f2398,f19]) ).
fof(f2403,plain,
( ~ sQ101_spl
| ~ sQ71_spl
| growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) = growth_rate(first_movers,sK1_skl(sK2_skl))
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK1_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f2402,f18]) ).
fof(f2404,definition,
( sQ124_spl
<=> greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK1_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f2407,plain,
( ~ sQ101_spl
| ~ sQ71_spl
| sQ118_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f2403,f2404,f1964,f1059,f1569]) ).
fof(f2408,plain,
( ~ sQ29_spl
| ~ sQ118_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f1979,f1066,f1964,f207]) ).
fof(f2444,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ29_spl
| outcompetes(efficient_producers,efficient_producers,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater_or_equal(growth_rate(first_movers,sK1_skl(sK2_skl)),zero)
| ~ subpopulations(efficient_producers,efficient_producers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f1965,f448]) ).
fof(f2445,plain,
! [X0,X1] :
( ~ sQ118_spl
| outcompetes(X1,efficient_producers,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater(zero,growth_rate(first_movers,sK1_skl(sK2_skl)))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))),zero)
| ~ subpopulations(efficient_producers,X1,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f1965,f24]) ).
fof(f2446,plain,
! [X0,X1] :
( ~ sQ118_spl
| outcompetes(efficient_producers,X1,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))))
| ~ greater_or_equal(growth_rate(first_movers,sK1_skl(sK2_skl)),zero)
| ~ subpopulations(X1,efficient_producers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f1965,f24]) ).
fof(f2447,definition,
! [X0] :
( sQ125_spl
<=> ( ~ subpopulations(efficient_producers,efficient_producers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f2450,definition,
( sQ126_spl
<=> greater_or_equal(growth_rate(first_movers,sK1_skl(sK2_skl)),zero) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f2452,plain,
( sQ126_spl
| ~ greater_or_equal(growth_rate(first_movers,sK1_skl(sK2_skl)),zero) ),
inference(component_clause,[status(thm)],[f2450]) ).
fof(f2453,definition,
( sQ127_spl
<=> outcompetes(efficient_producers,efficient_producers,sK3_skl(sK0_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f2456,plain,
( ~ sQ118_spl
| ~ sQ29_spl
| sQ127_spl
| ~ sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f2444,f2447,f2450,f2453,f207,f1964]) ).
fof(f2457,definition,
! [X0,X1] :
( sQ128_spl
<=> ( outcompetes(X1,efficient_producers,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))),zero)
| ~ subpopulations(efficient_producers,X1,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f2460,plain,
( ~ sQ118_spl
| ~ sQ73_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f2445,f2457,f1066,f1964]) ).
fof(f2461,definition,
! [X0,X1] :
( sQ129_spl
<=> ( outcompetes(efficient_producers,X1,sK3_skl(sK0_skl(sK2_skl)))
| ~ greater(zero,growth_rate(X1,sK3_skl(sK0_skl(sK2_skl))))
| ~ subpopulations(X1,efficient_producers,X0,sK3_skl(sK0_skl(sK2_skl)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f2464,plain,
( ~ sQ118_spl
| ~ sQ126_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f2446,f2461,f2450,f1964]) ).
fof(f2497,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ47_spl
| ~ sQ65_spl
| outcompetes(first_movers,first_movers,equilibrium(sK2_skl))
| ~ subpopulations(first_movers,first_movers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f1810,f1532]) ).
fof(f2501,plain,
( ~ sQ97_spl
| ~ sQ47_spl
| ~ sQ65_spl
| sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f2497,f1662,f1665,f909,f322,f1531]) ).
fof(f2503,plain,
( ~ sQ93_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f2288,f1531,f1480]) ).
fof(f2504,plain,
( ~ sQ36_spl
| ~ sQ65_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f2268,f1531,f909,f248]) ).
fof(f2505,plain,
( ~ sQ60_spl
| ~ sQ65_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1991,f1531,f909,f741]) ).
fof(f2509,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ50_spl
| ~ sQ65_spl
| outcompetes(efficient_producers,first_movers,equilibrium(sK2_skl))
| ~ subpopulations(first_movers,efficient_producers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f1826,f1481]) ).
fof(f2511,plain,
( ~ sQ93_spl
| ~ sQ50_spl
| ~ sQ65_spl
| sQ95_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f2509,f1678,f1488,f909,f425,f1480]) ).
fof(f2545,plain,
( ~ sQ2_spl
| ~ sQ65_spl
| ~ sQ115_spl
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f1679,f923]) ).
fof(f2546,plain,
( ~ sQ2_spl
| ~ sQ65_spl
| ~ sQ115_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2545,f107,f1678,f909,f69]) ).
fof(f2553,plain,
( ~ sQ65_spl
| ~ outcompetes(efficient_producers,first_movers,equilibrium(sK2_skl))
| ~ in_environment(sK2_skl,sK1_skl(sK2_skl)) ),
inference(paramodulation,[status(thm)],[f910,f47]) ).
fof(f2554,plain,
( ~ sQ65_spl
| ~ sQ95_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2553,f69,f1488,f909]) ).
fof(f2557,plain,
( ~ sQ33_spl
| ~ sQ45_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f750,f248,f315,f238]) ).
fof(f2562,plain,
( sQ36_spl
| ~ sQ48_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f774,f272,f326,f248]) ).
fof(f2571,plain,
( sQ90_spl
| ~ sQ66_spl
| ~ greater(zero,growth_rate(first_movers,equilibrium(sK2_skl))) ),
inference(forward_demodulation,[status(thm)],[f944,f1472]) ).
fof(f2575,plain,
( ~ sQ116_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f2357,f1467,f1911]) ).
fof(f2586,plain,
( sQ30_spl
| ~ sQ59_spl
| ~ greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
inference(backward_demodulation,[status(thm)],[f686,f213]) ).
fof(f2604,plain,
( sQ30_spl
| ~ sQ59_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2586,f322,f685,f211]) ).
fof(f2606,plain,
( ~ sQ30_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f1686,f284,f211]) ).
fof(f2713,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ96_spl
| outcompetes(efficient_producers,first_movers,equilibrium(sK2_skl))
| ~ subpopulations(first_movers,efficient_producers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f1493,f1532]) ).
fof(f2715,plain,
( ~ sQ96_spl
| growth_rate(efficient_producers,equilibrium(sK2_skl)) = zero
| greater(growth_rate(efficient_producers,equilibrium(sK2_skl)),zero) ),
inference(resolution,[status(thm)],[f1493,f18]) ).
fof(f2716,plain,
( ~ sQ97_spl
| ~ sQ96_spl
| sQ95_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f2713,f1678,f1488,f1492,f1531]) ).
fof(f2717,plain,
( ~ sQ96_spl
| sQ66_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f2715,f1484,f943,f1492]) ).
fof(f2719,plain,
( sQ96_spl
| ~ sQ66_spl
| ~ greater_or_equal(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f944,f1494]) ).
fof(f2724,plain,
( sQ90_spl
| ~ sQ66_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2571,f1480,f943,f1470]) ).
fof(f2726,plain,
( sQ96_spl
| ~ sQ66_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2719,f287,f943,f1492]) ).
fof(f2737,plain,
! [X0,X1] :
( ~ sQ36_spl
| outcompetes(X1,first_movers,sK3_skl(sK1_skl(sK2_skl)))
| ~ greater_or_equal(growth_rate(X1,sK3_skl(sK1_skl(sK2_skl))),zero)
| ~ subpopulations(first_movers,X1,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f249,f24]) ).
fof(f2764,plain,
( ~ sQ38_spl
| ~ in_environment(sK2_skl,sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f257,f47]) ).
fof(f2765,plain,
( ~ sQ38_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2764,f70]) ).
fof(f2766,plain,
( ~ sQ38_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2765]) ).
fof(f2776,plain,
! [X0] :
( ~ sQ94_spl
| greater(X0,zero)
| ~ greater(X0,growth_rate(efficient_producers,equilibrium(sK2_skl))) ),
inference(resolution,[status(thm)],[f1485,f12]) ).
fof(f2777,plain,
( ~ sQ94_spl
| greater_or_equal(growth_rate(efficient_producers,equilibrium(sK2_skl)),zero) ),
inference(resolution,[status(thm)],[f1485,f19]) ).
fof(f2803,plain,
( ~ sQ117_spl
| ~ sQ14_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),zero) ),
inference(resolution,[status(thm)],[f521,f1962]) ).
fof(f2805,plain,
( ~ sQ86_spl
| ~ sQ14_spl
| greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),zero) ),
inference(resolution,[status(thm)],[f521,f1392]) ).
fof(f2806,plain,
( ~ sQ117_spl
| ~ sQ14_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f2803,f1120,f127,f1961]) ).
fof(f2807,plain,
( ~ sQ86_spl
| ~ sQ14_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f2805,f1070,f127,f1391]) ).
fof(f2814,plain,
( ~ sQ84_spl
| ~ sQ78_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f1426,f123,f1113,f1339]) ).
fof(f2815,plain,
( ~ sQ80_spl
| sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1579,f2452]) ).
fof(f2816,plain,
( ~ sQ80_spl
| sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f2815]) ).
fof(f2825,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ75_spl
| outcompetes(efficient_producers,efficient_producers,sK1_skl(sK2_skl))
| ~ subpopulations(efficient_producers,efficient_producers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f1076,f1099]) ).
fof(f2826,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ75_spl
| outcompetes(efficient_producers,first_movers,sK1_skl(sK2_skl))
| ~ subpopulations(first_movers,efficient_producers,X0,sK1_skl(sK2_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f1076,f1146]) ).
fof(f2829,plain,
( ~ sQ76_spl
| ~ sQ75_spl
| sQ103_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f2825,f1594,f1597,f1075,f1098]) ).
fof(f2830,plain,
( ~ sQ82_spl
| ~ sQ75_spl
| sQ24_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f2826,f2296,f174,f1075,f1145]) ).
fof(f2836,plain,
( ~ sQ14_spl
| ~ sQ36_spl
| growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) = growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f627,f18]) ).
fof(f2837,definition,
( sQ132_spl
<=> greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f2838,plain,
( ~ sQ132_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f2837]) ).
fof(f2840,definition,
( sQ133_spl
<=> growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) = growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f2841,plain,
( ~ sQ133_spl
| growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) = growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f2840]) ).
fof(f2843,plain,
( ~ sQ14_spl
| ~ sQ36_spl
| sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f2836,f2837,f2840,f248,f127]) ).
fof(f2849,plain,
( ~ sQ36_spl
| ~ sQ133_spl
| greater(zero,growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl)))) ),
inference(backward_demodulation,[status(thm)],[f2841,f249]) ).
fof(f2864,plain,
( ~ sQ36_spl
| ~ sQ133_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f2849,f207,f2840,f248]) ).
fof(f2882,plain,
( ~ sQ67_spl
| ~ sQ94_spl
| greater(zero,zero) ),
inference(resolution,[status(thm)],[f2776,f947]) ).
fof(f2891,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ94_spl
| outcompetes(efficient_producers,first_movers,equilibrium(sK2_skl))
| ~ subpopulations(first_movers,efficient_producers,X0,equilibrium(sK2_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f2777,f1532]) ).
fof(f2894,plain,
( ~ sQ97_spl
| ~ sQ94_spl
| sQ95_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f2891,f1678,f1488,f1484,f1531]) ).
fof(f2918,plain,
( ~ sQ36_spl
| ~ sQ30_spl
| growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) = growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))
| greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f629,f18]) ).
fof(f2919,definition,
( sQ134_spl
<=> greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f2922,plain,
( ~ sQ36_spl
| ~ sQ30_spl
| sQ59_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f2918,f2919,f685,f211,f248]) ).
fof(f2929,plain,
( ~ sQ119_spl
| ~ sQ30_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),zero) ),
inference(resolution,[status(thm)],[f452,f2089]) ).
fof(f2931,plain,
( ~ sQ119_spl
| ~ sQ30_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f2929,f1120,f211,f2088]) ).
fof(f2940,definition,
( sQ135_spl
<=> greater(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f2941,plain,
( ~ sQ135_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(component_clause,[status(thm)],[f2940]) ).
fof(f2943,definition,
( sQ136_spl
<=> growth_rate(first_movers,sK1_skl(sK2_skl)) = growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f2944,plain,
( ~ sQ136_spl
| growth_rate(first_movers,sK1_skl(sK2_skl)) = growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f2943]) ).
fof(f2945,plain,
( sQ136_spl
| growth_rate(first_movers,sK1_skl(sK2_skl)) != growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f2943]) ).
fof(f2957,plain,
( ~ sQ47_spl
| ~ sQ136_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),zero) ),
inference(backward_demodulation,[status(thm)],[f2944,f323]) ).
fof(f2958,plain,
( ~ sQ36_spl
| ~ sQ136_spl
| greater(zero,growth_rate(first_movers,sK1_skl(sK2_skl))) ),
inference(backward_demodulation,[status(thm)],[f2944,f249]) ).
fof(f2970,plain,
( ~ sQ47_spl
| ~ sQ136_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f2957,f1120,f2943,f322]) ).
fof(f2971,plain,
( ~ sQ36_spl
| ~ sQ136_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f2958,f1066,f2943,f248]) ).
fof(f3006,plain,
( ~ sQ2_spl
| ~ sQ51_spl
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f619,f82]) ).
fof(f3007,plain,
( ~ sQ2_spl
| ~ sQ51_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3006,f107,f618,f69]) ).
fof(f3009,plain,
( sQ32_spl
| ~ sQ23_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f1737,f1056,f166,f235]) ).
fof(f3011,plain,
( sQ48_spl
| ~ sQ23_spl
| growth_rate(first_movers,sK1_skl(sK2_skl)) != zero ),
inference(backward_demodulation,[status(thm)],[f167,f328]) ).
fof(f3019,plain,
( sQ136_spl
| ~ sQ23_spl
| growth_rate(first_movers,sK1_skl(sK2_skl)) != growth_rate(first_movers,sK1_skl(sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f167,f2945]) ).
fof(f3040,plain,
( ~ sQ67_spl
| ~ sQ94_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f2882,f272,f1484,f946]) ).
fof(f3075,plain,
( ~ sQ30_spl
| ~ sQ46_spl
| greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f506,f212]) ).
fof(f3087,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| greater_or_equal(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f680,f19]) ).
fof(f3091,plain,
( ~ sQ14_spl
| ~ sQ46_spl
| greater_or_equal(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f679,f19]) ).
fof(f3094,plain,
( ~ sQ46_spl
| ~ sQ33_spl
| greater(zero,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f531,f319]) ).
fof(f3095,plain,
( ~ sQ46_spl
| ~ sQ33_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f3094,f248,f238,f318]) ).
fof(f3104,plain,
( ~ sQ46_spl
| ~ sQ37_spl
| greater(zero,zero) ),
inference(resolution,[status(thm)],[f296,f319]) ).
fof(f3105,plain,
( ~ sQ46_spl
| ~ sQ37_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f3104,f272,f252,f318]) ).
fof(f3117,plain,
( ~ sQ30_spl
| ~ sQ46_spl
| greater_or_equal(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f3075,f19]) ).
fof(f3118,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))) = growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))
| greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f3087,f18]) ).
fof(f3119,definition,
( sQ137_spl
<=> greater(growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl))),growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f3122,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| sQ57_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f3118,f3119,f674,f318,f322]) ).
fof(f3146,plain,
( ~ sQ47_spl
| ~ sQ57_spl
| greater_or_equal(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
inference(backward_demodulation,[status(thm)],[f675,f431]) ).
fof(f3150,plain,
( ~ sQ47_spl
| ~ sQ57_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f3146,f260,f674,f322]) ).
fof(f3192,plain,
( ~ sQ14_spl
| ~ sQ46_spl
| growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) = growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))
| greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f3091,f18]) ).
fof(f3193,definition,
( sQ138_spl
<=> greater(growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f3196,definition,
( sQ139_spl
<=> growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) = growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f3197,plain,
( ~ sQ139_spl
| growth_rate(efficient_producers,sK3_skl(sK0_skl(sK2_skl))) = growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f3196]) ).
fof(f3199,plain,
( ~ sQ14_spl
| ~ sQ46_spl
| sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f3192,f3193,f3196,f318,f127]) ).
fof(f3208,plain,
( sQ29_spl
| ~ sQ139_spl
| ~ greater(zero,growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(backward_demodulation,[status(thm)],[f3197,f209]) ).
fof(f3228,plain,
( sQ29_spl
| ~ sQ139_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3208,f318,f3196,f207]) ).
fof(f3249,plain,
( ~ sQ30_spl
| ~ sQ46_spl
| growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) = growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))
| greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(resolution,[status(thm)],[f3117,f18]) ).
fof(f3250,definition,
( sQ140_spl
<=> greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f3253,definition,
( sQ141_spl
<=> growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) = growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f3254,plain,
( ~ sQ141_spl
| growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))) = growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))) ),
inference(component_clause,[status(thm)],[f3253]) ).
fof(f3256,plain,
( ~ sQ30_spl
| ~ sQ46_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f3249,f3250,f3253,f318,f211]) ).
fof(f3267,plain,
( sQ13_spl
| ~ sQ141_spl
| ~ greater(zero,growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(backward_demodulation,[status(thm)],[f3254,f125]) ).
fof(f3282,plain,
( sQ13_spl
| ~ sQ141_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3267,f318,f3253,f123]) ).
fof(f3297,plain,
( ~ sQ135_spl
| ~ sQ47_spl
| greater(growth_rate(first_movers,sK1_skl(sK2_skl)),zero) ),
inference(resolution,[status(thm)],[f430,f2941]) ).
fof(f3298,plain,
( ~ sQ33_spl
| ~ sQ47_spl
| greater(growth_rate(efficient_producers,sK3_skl(sK1_skl(sK2_skl))),zero) ),
inference(resolution,[status(thm)],[f430,f239]) ).
fof(f3299,plain,
( ~ sQ36_spl
| ~ sQ47_spl
| greater(zero,zero) ),
inference(resolution,[status(thm)],[f430,f249]) ).
fof(f3300,plain,
( ~ sQ135_spl
| ~ sQ47_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f3297,f1120,f322,f2940]) ).
fof(f3301,plain,
( ~ sQ33_spl
| ~ sQ47_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f3298,f252,f322,f238]) ).
fof(f3302,plain,
( ~ sQ36_spl
| ~ sQ47_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f3299,f272,f322,f248]) ).
fof(f3329,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ37_spl
| outcompetes(efficient_producers,first_movers,sK3_skl(sK1_skl(sK2_skl)))
| ~ subpopulations(first_movers,efficient_producers,X0,sK3_skl(sK1_skl(sK2_skl)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f297,f2737]) ).
fof(f3339,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| sQ38_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f3329,f618,f256,f252,f248]) ).
fof(f3341,plain,
( sQ48_spl
| ~ sQ23_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f3011,f1124,f166,f326]) ).
fof(f3342,plain,
( sQ136_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3019]) ).
fof(f3343,plain,
( sQ136_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3342]) ).
fof(f3352,plain,
( sQ22_spl
| ~ sQ23_spl
| ~ sQ4_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1033,f2360]) ).
fof(f3353,plain,
( sQ22_spl
| ~ sQ23_spl
| ~ sQ4_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f3352]) ).
fof(f3362,plain,
( sQ34_spl
| ~ sQ23_spl
| ~ greater_or_equal(sK1_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f167,f244]) ).
fof(f3363,plain,
( sQ34_spl
| ~ sQ23_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3362,f75]) ).
fof(f3364,plain,
( sQ34_spl
| ~ sQ23_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f3363]) ).
fof(f3371,plain,
( sQ63_spl
| ~ sQ18_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1178,f88,f148,f814]) ).
fof(f3419,plain,
( ~ sQ2_spl
| sQ32_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f81,f364]) ).
fof(f3420,plain,
( ~ sQ2_spl
| sQ32_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3419]) ).
fof(f3422,plain,
( ~ sQ132_spl
| ~ sQ28_spl
| greater(zero,growth_rate(first_movers,sK3_skl(sK1_skl(sK2_skl)))) ),
inference(backward_demodulation,[status(thm)],[f205,f2838]) ).
fof(f3423,plain,
( ~ sQ25_spl
| ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f382,f85,f88,f185]) ).
fof(f3458,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| ~ sQ5_spl
| greater_or_equal(sK3_skl(sK0_skl(sK2_skl)),equilibrium(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f89,f1161]) ).
fof(f3465,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| greater_or_equal(sK0_skl(sK2_skl),equilibrium(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f89,f530]) ).
fof(f3486,plain,
( sQ11_spl
| ~ sQ6_spl
| ~ sQ17_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f119,f3458]) ).
fof(f3487,plain,
( sQ11_spl
| ~ sQ6_spl
| ~ sQ17_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3486]) ).
fof(f3497,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| greater_or_equal(sK3_skl(equilibrium(sK2_skl)),sK1_skl(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f89,f81]) ).
fof(f3498,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| greater_or_equal(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f89,f3497]) ).
fof(f3511,plain,
( sQ34_spl
| ~ sQ5_spl
| ~ greater_or_equal(sK3_skl(equilibrium(sK2_skl)),equilibrium(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f89,f244]) ).
fof(f3512,plain,
( sQ34_spl
| ~ sQ5_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3511,f3498]) ).
fof(f3513,plain,
( sQ34_spl
| ~ sQ5_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f3512]) ).
fof(f3515,plain,
( ~ sQ132_spl
| ~ sQ28_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f3422,f248,f204,f2837]) ).
fof(f3524,plain,
( ~ sQ108_spl
| ~ sQ28_spl
| greater(growth_rate(first_movers,sK3_skl(sK0_skl(sK2_skl))),zero) ),
inference(forward_demodulation,[status(thm)],[f205,f1650]) ).
fof(f3525,plain,
( ~ sQ108_spl
| ~ sQ28_spl
| sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3524,f213]) ).
fof(f3526,plain,
( ~ sQ108_spl
| ~ sQ28_spl
| sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f3525]) ).
fof(f3536,plain,
( sQ70_spl
| ~ sQ5_spl
| ~ greater_or_equal(equilibrium(sK2_skl),sK0_skl(sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f89,f1058]) ).
fof(f3537,plain,
( sQ70_spl
| ~ sQ5_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3536,f1468]) ).
fof(f3538,plain,
( sQ70_spl
| ~ sQ5_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f3537]) ).
fof(f3566,plain,
( sQ11_spl
| ~ sQ7_spl
| ~ sQ17_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1716,f3465]) ).
fof(f3567,plain,
( sQ11_spl
| ~ sQ7_spl
| ~ sQ17_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3566]) ).
fof(f3568,plain,
$false,
inference(sat_refutation,[status(thm)],[f65,f67,f72,f77,f91,f101,f116,f126,f130,f140,f142,f154,f169,f177,f191,f210,f214,f218,f219,f241,f251,f255,f275,f283,f290,f292,f321,f325,f428,f460,f467,f468,f538,f566,f575,f602,f621,f645,f664,f688,f710,f744,f748,f762,f767,f817,f849,f854,f949,f953,f957,f958,f964,f965,f1010,f1015,f1018,f1024,f1062,f1069,f1073,f1119,f1123,f1127,f1128,f1142,f1148,f1152,f1165,f1193,f1202,f1208,f1247,f1248,f1250,f1251,f1254,f1257,f1258,f1267,f1268,f1269,f1270,f1298,f1345,f1372,f1374,f1375,f1377,f1397,f1435,f1461,f1483,f1500,f1563,f1572,f1580,f1600,f1608,f1619,f1681,f1694,f1701,f1702,f1728,f1747,f1787,f1788,f1790,f1827,f1876,f1878,f1884,f1885,f1967,f1994,f1995,f2019,f2094,f2118,f2120,f2148,f2158,f2203,f2221,f2261,f2262,f2299,f2306,f2319,f2320,f2331,f2369,f2374,f2375,f2407,f2408,f2456,f2460,f2464,f2501,f2503,f2504,f2505,f2511,f2546,f2554,f2557,f2562,f2575,f2604,f2606,f2716,f2717,f2724,f2726,f2766,f2806,f2807,f2814,f2816,f2829,f2830,f2843,f2864,f2894,f2922,f2931,f2970,f2971,f3007,f3009,f3040,f3095,f3105,f3122,f3150,f3199,f3228,f3256,f3282,f3300,f3301,f3302,f3339,f3341,f3343,f3353,f3364,f3371,f3420,f3423,f3487,f3513,f3515,f3526,f3538,f3567]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT035+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/15.37 % Computer : n017.cluster.edu
% 0.10/15.37 % Model : x86_64 x86_64
% 0.10/15.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.37 % Memory : 8046.5625MB
% 0.10/15.37 % OS : Linux 6.8.0-71-generic
% 0.10/15.37 % CPULimit : 300
% 0.10/15.37 % WCLimit : 300
% 0.10/15.37 % DateTime : Mon Sep 21 01:17:56 UTC 2026
% 0.10/15.37 % CPUTime :
% 0.10/15.38 % Drodi V4.1.1
% 0.14/16.06 % Refutation found
% 0.14/16.06 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/16.06 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/16.10 % Elapsed time: 0.723246 seconds
% 0.14/16.10 % CPU time: 5.408684 seconds
% 0.14/16.10 % Total memory used: 118.269 MB
% 0.14/16.10 % Net memory used: 112.711 MB
%------------------------------------------------------------------------------