%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT034+2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 0.17s 0.48s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 61
% Syntax : Number of formulae : 269 ( 13 unt; 44 def)
% Number of atoms : 834 ( 30 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 1008 ( 443 ~; 449 |; 52 &)
% ( 47 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 53 ( 51 usr; 45 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 204 ( 200 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [E,S1,S2,T] :
( ( greater(growth_rate(S2,T),growth_rate(S1,T))
& subpopulations(S1,S2,E,T)
& environment(E) )
=> selection_favors(S2,S1,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [E,T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& environment(E) )
=> ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [E] :
( ( in_environment(E,critical_point(E))
& environment(E) )
=> subpopulations(first_movers,efficient_producers,E,critical_point(E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [E] :
( ( in_environment(E,appear(efficient_producers,E))
& environment(E) )
=> subpopulations(first_movers,efficient_producers,E,appear(efficient_producers,E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [T] :
( ( ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))
& decreases(difference(founding_rate(first_movers,T),founding_rate(efficient_producers,T))) )
=> decreases(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [E,T,To] :
( ( greater(To,T)
& greater_or_equal(T,appear(efficient_producers,E))
& greater_or_equal(difference(growth_rate(first_movers,To),growth_rate(efficient_producers,To)),zero)
& in_environment(E,To)
& environment(E) )
=> ( decreases(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
=> greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [T] :
( greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
<=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [T] :
( greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero)
<=> greater(growth_rate(first_movers,T),growth_rate(efficient_producers,T)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [E,T] :
( ( greater(critical_point(E),T)
& greater_or_equal(T,appear(efficient_producers,E))
& in_environment(E,critical_point(E))
& environment(E) )
=> in_environment(E,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [E,T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& environment(E) )
=> subpopulations(efficient_producers,first_movers,E,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [E,T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& environment(E) )
=> greater_or_equal(T,appear(efficient_producers,E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( X = Y
| greater(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [E,T] :
( ( ~ greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
& subpopulations(first_movers,efficient_producers,E,T)
& environment(E) )
=> greater_or_equal(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
! [E,Tc] :
( ( Tc = critical_point(E)
& environment(E) )
=> ( ! [T] :
( ( greater(T,Tc)
& subpopulations(first_movers,efficient_producers,E,T) )
=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) )
& ~ greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
! [E,T1,T2,T] :
( ( greater_or_equal(T2,T)
& greater_or_equal(T,T1)
& subpopulations(first_movers,efficient_producers,E,T2)
& subpopulations(first_movers,efficient_producers,E,T1)
& environment(E) )
=> subpopulations(first_movers,efficient_producers,E,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
! [E,T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& environment(E) )
=> decreases(difference(founding_rate(first_movers,T),founding_rate(efficient_producers,T))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,conjecture,
! [E,T] :
( ( greater(critical_point(E),T)
& greater_or_equal(T,appear(efficient_producers,E))
& in_environment(E,critical_point(E))
& environment(E) )
=> selection_favors(first_movers,efficient_producers,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ ! [E,T] :
( ( greater(critical_point(E),T)
& greater_or_equal(T,appear(efficient_producers,E))
& in_environment(E,critical_point(E))
& environment(E) )
=> selection_favors(first_movers,efficient_producers,T) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f23,plain,
! [E,S1,S2,T] :
( selection_favors(S2,S1,T)
| ~ greater(growth_rate(S2,T),growth_rate(S1,T))
| ~ subpopulations(S1,S2,E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
! [S1,S2,T] :
( selection_favors(S2,S1,T)
| ~ greater(growth_rate(S2,T),growth_rate(S1,T))
| ! [E] :
( ~ subpopulations(S1,S2,E,T)
| ~ environment(E) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( selection_favors(X2,X1,X3)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f26,plain,
! [E,T] :
( ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f27,plain,
! [T] :
( ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))
| ! [E] :
( ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ environment(E) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
! [E] :
( subpopulations(first_movers,efficient_producers,E,critical_point(E))
| ~ in_environment(E,critical_point(E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f30,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
| ~ in_environment(X0,critical_point(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [E] :
( subpopulations(first_movers,efficient_producers,E,appear(efficient_producers,E))
| ~ in_environment(E,appear(efficient_producers,E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
| ~ in_environment(X0,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [T] :
( decreases(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
| decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))
| ~ decreases(difference(founding_rate(first_movers,T),founding_rate(efficient_producers,T))) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f34,plain,
! [X0] :
( decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f35,plain,
! [E,T,To] :
( greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero)
| ~ decreases(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
| ~ greater(To,T)
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ greater_or_equal(difference(growth_rate(first_movers,To),growth_rate(efficient_producers,To)),zero)
| ~ in_environment(E,To)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f36,plain,
! [T] :
( greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero)
| ~ decreases(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
| ! [To] :
( ~ greater(To,T)
| ! [E] :
( ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ greater_or_equal(difference(growth_rate(first_movers,To),growth_rate(efficient_producers,To)),zero)
| ~ in_environment(E,To)
| ~ environment(E) ) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( greater(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ decreases(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
| ~ greater(X1,X2)
| ~ greater_or_equal(X2,appear(efficient_producers,X0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
! [T] :
( ( ~ greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T))) )
& ( greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| ~ greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T))) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f39,plain,
( ! [T] :
( ~ greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T))) )
& ! [T] :
( greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| ~ greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T))) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f42,plain,
! [T] :
( ( ~ greater(growth_rate(first_movers,T),growth_rate(efficient_producers,T))
| greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) )
& ( greater(growth_rate(first_movers,T),growth_rate(efficient_producers,T))
| ~ greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f43,plain,
( ! [T] :
( ~ greater(growth_rate(first_movers,T),growth_rate(efficient_producers,T))
| greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) )
& ! [T] :
( greater(growth_rate(first_movers,T),growth_rate(efficient_producers,T))
| ~ greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f44,plain,
! [X0] :
( greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
| ~ greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
! [X0] :
( ~ greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
| greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f53,plain,
! [E,T] :
( in_environment(E,T)
| ~ greater(critical_point(E),T)
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ in_environment(E,critical_point(E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f54,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ greater(critical_point(X0),X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,critical_point(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f57,plain,
! [E,T] :
( subpopulations(efficient_producers,first_movers,E,T)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f58,plain,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [E,T] :
( greater_or_equal(T,appear(efficient_producers,E))
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f60,plain,
! [X0,X1] :
( greater_or_equal(X1,appear(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,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)],[f16]) ).
fof(f62,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)],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f65,plain,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f66,plain,
! [E,T] :
( greater_or_equal(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero)
| greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f67,plain,
! [T] :
( greater_or_equal(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero)
| greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
| ! [E] :
( ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ environment(E) ) ),
inference(miniscoping,[status(thm)],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [E,Tc] :
( ( ! [T] :
( greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| ~ greater(T,Tc)
| ~ subpopulations(first_movers,efficient_producers,E,T) )
& ~ greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc)) )
| Tc != critical_point(E)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f70,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| X1 != critical_point(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| X1 != critical_point(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f72,plain,
! [E,T1,T2,T] :
( subpopulations(first_movers,efficient_producers,E,T)
| ~ greater_or_equal(T2,T)
| ~ greater_or_equal(T,T1)
| ~ subpopulations(first_movers,efficient_producers,E,T2)
| ~ subpopulations(first_movers,efficient_producers,E,T1)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f73,plain,
! [E,T] :
( subpopulations(first_movers,efficient_producers,E,T)
| ! [T2] :
( ~ greater_or_equal(T2,T)
| ! [T1] :
( ~ greater_or_equal(T,T1)
| ~ subpopulations(first_movers,efficient_producers,E,T2)
| ~ subpopulations(first_movers,efficient_producers,E,T1)
| ~ environment(E) ) ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( subpopulations(first_movers,efficient_producers,X0,X3)
| ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f75,plain,
! [E,T] :
( decreases(difference(founding_rate(first_movers,T),founding_rate(efficient_producers,T)))
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f76,plain,
! [T] :
( decreases(difference(founding_rate(first_movers,T),founding_rate(efficient_producers,T)))
| ! [E] :
( ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ environment(E) ) ),
inference(miniscoping,[status(thm)],[f75]) ).
fof(f77,plain,
! [X0,X1] :
( decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f78,plain,
? [E,T] :
( ~ selection_favors(first_movers,efficient_producers,T)
& greater(critical_point(E),T)
& greater_or_equal(T,appear(efficient_producers,E))
& in_environment(E,critical_point(E))
& environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f79,plain,
? [T] :
( ~ selection_favors(first_movers,efficient_producers,T)
& ? [E] :
( greater(critical_point(E),T)
& greater_or_equal(T,appear(efficient_producers,E))
& in_environment(E,critical_point(E))
& environment(E) ) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f80,plain,
( ~ selection_favors(first_movers,efficient_producers,sK0_skl)
& greater(critical_point(sK1_skl),sK0_skl)
& greater_or_equal(sK0_skl,appear(efficient_producers,sK1_skl))
& in_environment(sK1_skl,critical_point(sK1_skl))
& environment(sK1_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(T,sK0_skl),skolemize(E,sK1_skl)],[f79]) ).
fof(f81,plain,
environment(sK1_skl),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f82,plain,
in_environment(sK1_skl,critical_point(sK1_skl)),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f83,plain,
greater_or_equal(sK0_skl,appear(efficient_producers,sK1_skl)),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f84,plain,
greater(critical_point(sK1_skl),sK0_skl),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f85,plain,
~ selection_favors(first_movers,efficient_producers,sK0_skl),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f86,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f65]) ).
fof(f87,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0)))
| ~ environment(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f70]) ).
fof(f88,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(X1,critical_point(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f71]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( growth_rate(X2,X3) = growth_rate(X1,X3)
| ~ greater_or_equal(growth_rate(X2,X3),growth_rate(X1,X3))
| selection_favors(X2,X1,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f25,f63]) ).
fof(f99,definition,
( sQ2_spl
<=> environment(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( sQ2_spl
| ~ environment(sK1_skl) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,definition,
( sQ3_spl
<=> subpopulations(first_movers,efficient_producers,sK1_skl,appear(efficient_producers,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( ~ sQ3_spl
| subpopulations(first_movers,efficient_producers,sK1_skl,appear(efficient_producers,sK1_skl)) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f107,plain,
! [X0] :
( in_environment(sK1_skl,X0)
| ~ greater(critical_point(sK1_skl),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sK1_skl))
| ~ in_environment(sK1_skl,critical_point(sK1_skl)) ),
inference(resolution,[status(thm)],[f54,f81]) ).
fof(f108,definition,
( sQ4_spl
<=> in_environment(sK1_skl,critical_point(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( sQ4_spl
| ~ in_environment(sK1_skl,critical_point(sK1_skl)) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,definition,
! [X0] :
( sQ5_spl
<=> ( in_environment(sK1_skl,X0)
| ~ greater(critical_point(sK1_skl),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sK1_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f112,plain,
! [X0] :
( ~ sQ5_spl
| in_environment(sK1_skl,X0)
| ~ greater(critical_point(sK1_skl),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sK1_skl)) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,plain,
( sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f107,f108,f111]) ).
fof(f115,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f110,f82]) ).
fof(f116,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f115]) ).
fof(f117,plain,
( ~ sQ5_spl
| subpopulations(first_movers,efficient_producers,sK1_skl,appear(efficient_producers,sK1_skl))
| ~ environment(sK1_skl)
| ~ greater(critical_point(sK1_skl),appear(efficient_producers,sK1_skl))
| ~ greater_or_equal(appear(efficient_producers,sK1_skl),appear(efficient_producers,sK1_skl)) ),
inference(resolution,[status(thm)],[f112,f32]) ).
fof(f118,definition,
( sQ6_spl
<=> greater_or_equal(appear(efficient_producers,sK1_skl),appear(efficient_producers,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( sQ6_spl
| ~ greater_or_equal(appear(efficient_producers,sK1_skl),appear(efficient_producers,sK1_skl)) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ7_spl
<=> greater(critical_point(sK1_skl),appear(efficient_producers,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f123,plain,
( sQ7_spl
| ~ greater(critical_point(sK1_skl),appear(efficient_producers,sK1_skl)) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( ~ sQ5_spl
| sQ3_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f117,f118,f121,f99,f102,f111]) ).
fof(f125,plain,
! [X0] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater(X0,critical_point(sK1_skl))
| ~ subpopulations(first_movers,efficient_producers,sK1_skl,X0) ),
inference(resolution,[status(thm)],[f88,f81]) ).
fof(f127,plain,
! [X0,X1,X2] :
( growth_rate(X1,X2) = growth_rate(X0,X2)
| ~ greater_or_equal(growth_rate(X1,X2),growth_rate(X0,X2))
| selection_favors(X1,X0,X2)
| ~ subpopulations(X0,X1,sK1_skl,X2) ),
inference(resolution,[status(thm)],[f89,f81]) ).
fof(f128,plain,
( growth_rate(first_movers,sK0_skl) = growth_rate(efficient_producers,sK0_skl)
| ~ greater_or_equal(growth_rate(first_movers,sK0_skl),growth_rate(efficient_producers,sK0_skl))
| ~ subpopulations(efficient_producers,first_movers,sK1_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f127,f85]) ).
fof(f129,definition,
( sQ8_spl
<=> subpopulations(efficient_producers,first_movers,sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( sQ8_spl
| ~ subpopulations(efficient_producers,first_movers,sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,definition,
( sQ9_spl
<=> greater_or_equal(growth_rate(first_movers,sK0_skl),growth_rate(efficient_producers,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( sQ9_spl
| ~ greater_or_equal(growth_rate(first_movers,sK0_skl),growth_rate(efficient_producers,sK0_skl)) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,definition,
( sQ10_spl
<=> growth_rate(first_movers,sK0_skl) = growth_rate(efficient_producers,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ10_spl
| growth_rate(first_movers,sK0_skl) = growth_rate(efficient_producers,sK0_skl) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,plain,
( sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f128,f129,f132,f135]) ).
fof(f139,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f81]) ).
fof(f140,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f139]) ).
fof(f145,plain,
! [X0,X1] :
( ~ sQ10_spl
| selection_favors(first_movers,X1,sK0_skl)
| ~ greater(growth_rate(efficient_producers,sK0_skl),growth_rate(X1,sK0_skl))
| ~ subpopulations(X1,first_movers,X0,sK0_skl)
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f136,f25]) ).
fof(f153,definition,
! [X0,X1] :
( sQ13_spl
<=> ( ~ greater(X1,sK0_skl)
| ~ greater_or_equal(sK0_skl,appear(efficient_producers,X0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f154,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ greater(X1,sK0_skl)
| ~ greater_or_equal(sK0_skl,appear(efficient_producers,X0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,definition,
( sQ14_spl
<=> decreases(difference(growth_rate(first_movers,sK0_skl),growth_rate(efficient_producers,sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ14_spl
| decreases(difference(growth_rate(first_movers,sK0_skl),growth_rate(efficient_producers,sK0_skl))) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f158,plain,
( sQ14_spl
| ~ decreases(difference(growth_rate(first_movers,sK0_skl),growth_rate(efficient_producers,sK0_skl))) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f163,definition,
( sQ16_spl
<=> decreases(difference(founding_rate(first_movers,sK0_skl),founding_rate(efficient_producers,sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( sQ16_spl
| ~ decreases(difference(founding_rate(first_movers,sK0_skl),founding_rate(efficient_producers,sK0_skl))) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,definition,
( sQ17_spl
<=> decreases(difference(disbanding_rate(first_movers,sK0_skl),disbanding_rate(efficient_producers,sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ17_spl
| decreases(difference(disbanding_rate(first_movers,sK0_skl),disbanding_rate(efficient_producers,sK0_skl))) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f174,definition,
! [X0] :
( sQ19_spl
<=> ( ~ subpopulations(first_movers,efficient_producers,X0,sK0_skl)
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f175,plain,
! [X0] :
( ~ sQ19_spl
| ~ subpopulations(first_movers,efficient_producers,X0,sK0_skl)
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f181,plain,
! [X0,X1,X2] :
( subpopulations(first_movers,efficient_producers,sK1_skl,X2)
| ~ greater_or_equal(X1,X2)
| ~ greater_or_equal(X2,X0)
| ~ subpopulations(first_movers,efficient_producers,sK1_skl,X1)
| ~ subpopulations(first_movers,efficient_producers,sK1_skl,X0) ),
inference(resolution,[status(thm)],[f74,f81]) ).
fof(f183,plain,
( sQ9_spl
| ~ greater(growth_rate(first_movers,sK0_skl),growth_rate(efficient_producers,sK0_skl)) ),
inference(resolution,[status(thm)],[f134,f64]) ).
fof(f186,plain,
! [X0] :
( ~ sQ17_spl
| ~ subpopulations(first_movers,efficient_producers,X0,sK0_skl)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f167,f28]) ).
fof(f187,plain,
! [X0] :
( sQ16_spl
| ~ subpopulations(first_movers,efficient_producers,X0,sK0_skl)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f165,f77]) ).
fof(f188,plain,
( sQ14_spl
| decreases(difference(disbanding_rate(first_movers,sK0_skl),disbanding_rate(efficient_producers,sK0_skl)))
| ~ decreases(difference(founding_rate(first_movers,sK0_skl),founding_rate(efficient_producers,sK0_skl))) ),
inference(resolution,[status(thm)],[f158,f34]) ).
fof(f189,plain,
( sQ14_spl
| sQ17_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f188,f163,f166,f156]) ).
fof(f198,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f120,f86]) ).
fof(f199,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f198]) ).
fof(f200,plain,
( sQ8_spl
| ~ subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl)
| ~ environment(sK1_skl) ),
inference(resolution,[status(thm)],[f131,f58]) ).
fof(f201,definition,
( sQ23_spl
<=> subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ23_spl
| subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,plain,
( sQ8_spl
| ~ sQ23_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f200,f99,f201,f129]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ greater(X2,X0)
| ~ greater_or_equal(X0,appear(efficient_producers,X1))
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(resolution,[status(thm)],[f44,f37]) ).
fof(f207,plain,
! [X0] :
( difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) = zero
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(resolution,[status(thm)],[f44,f63]) ).
fof(f209,plain,
( sQ7_spl
| critical_point(sK1_skl) = appear(efficient_producers,sK1_skl)
| ~ greater_or_equal(critical_point(sK1_skl),appear(efficient_producers,sK1_skl)) ),
inference(resolution,[status(thm)],[f123,f63]) ).
fof(f210,definition,
( sQ24_spl
<=> greater_or_equal(critical_point(sK1_skl),appear(efficient_producers,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( sQ24_spl
| ~ greater_or_equal(critical_point(sK1_skl),appear(efficient_producers,sK1_skl)) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ25_spl
<=> critical_point(sK1_skl) = appear(efficient_producers,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ25_spl
| critical_point(sK1_skl) = appear(efficient_producers,sK1_skl) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( sQ7_spl
| sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f209,f210,f213,f121]) ).
fof(f219,plain,
( ~ sQ25_spl
| greater_or_equal(sK0_skl,critical_point(sK1_skl)) ),
inference(backward_demodulation,[status(thm)],[f214,f83]) ).
fof(f227,plain,
( sQ24_spl
| ~ subpopulations(first_movers,efficient_producers,sK1_skl,critical_point(sK1_skl))
| ~ environment(sK1_skl) ),
inference(resolution,[status(thm)],[f212,f60]) ).
fof(f229,definition,
( sQ27_spl
<=> subpopulations(first_movers,efficient_producers,sK1_skl,critical_point(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( sQ27_spl
| ~ subpopulations(first_movers,efficient_producers,sK1_skl,critical_point(sK1_skl)) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( sQ24_spl
| ~ sQ27_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f227,f99,f229,f210]) ).
fof(f235,plain,
( sQ27_spl
| ~ in_environment(sK1_skl,critical_point(sK1_skl))
| ~ environment(sK1_skl) ),
inference(resolution,[status(thm)],[f231,f30]) ).
fof(f236,plain,
( sQ27_spl
| ~ sQ4_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f235,f99,f108,f229]) ).
fof(f238,plain,
! [X0,X1] :
( ~ in_environment(sK1_skl,critical_point(sK1_skl))
| ~ environment(sK1_skl)
| subpopulations(first_movers,efficient_producers,sK1_skl,X1)
| ~ greater_or_equal(critical_point(sK1_skl),X1)
| ~ greater_or_equal(X1,X0)
| ~ subpopulations(first_movers,efficient_producers,sK1_skl,X0) ),
inference(resolution,[status(thm)],[f181,f30]) ).
fof(f239,definition,
! [X0,X1] :
( sQ28_spl
<=> ( subpopulations(first_movers,efficient_producers,sK1_skl,X1)
| ~ greater_or_equal(critical_point(sK1_skl),X1)
| ~ greater_or_equal(X1,X0)
| ~ subpopulations(first_movers,efficient_producers,sK1_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f240,plain,
! [X0,X1] :
( ~ sQ28_spl
| subpopulations(first_movers,efficient_producers,sK1_skl,X1)
| ~ greater_or_equal(critical_point(sK1_skl),X1)
| ~ greater_or_equal(X1,X0)
| ~ subpopulations(first_movers,efficient_producers,sK1_skl,X0) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f238,f239,f99,f108]) ).
fof(f283,plain,
! [X0,X1] :
( greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1)
| difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) = zero
| greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(resolution,[status(thm)],[f207,f68]) ).
fof(f287,plain,
! [X0] :
( ~ sQ28_spl
| ~ in_environment(sK1_skl,critical_point(sK1_skl))
| ~ environment(sK1_skl)
| subpopulations(first_movers,efficient_producers,sK1_skl,X0)
| ~ greater_or_equal(critical_point(sK1_skl),X0)
| ~ greater_or_equal(X0,critical_point(sK1_skl)) ),
inference(resolution,[status(thm)],[f240,f30]) ).
fof(f288,definition,
! [X0] :
( sQ30_spl
<=> ( subpopulations(first_movers,efficient_producers,sK1_skl,X0)
| ~ greater_or_equal(critical_point(sK1_skl),X0)
| ~ greater_or_equal(X0,critical_point(sK1_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f289,plain,
! [X0] :
( ~ sQ30_spl
| subpopulations(first_movers,efficient_producers,sK1_skl,X0)
| ~ greater_or_equal(critical_point(sK1_skl),X0)
| ~ greater_or_equal(X0,critical_point(sK1_skl)) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,plain,
( ~ sQ28_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f287,f288,f99,f108,f239]) ).
fof(f296,definition,
( sQ31_spl
<=> greater_or_equal(critical_point(sK1_skl),critical_point(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( sQ31_spl
| ~ greater_or_equal(critical_point(sK1_skl),critical_point(sK1_skl)) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f301,plain,
( sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f298,f86]) ).
fof(f302,plain,
sQ31_spl,
inference(contradiction_clause,[status(thm)],[f301]) ).
fof(f313,plain,
( ~ sQ19_spl
| ~ sQ23_spl
| ~ environment(sK1_skl) ),
inference(resolution,[status(thm)],[f202,f175]) ).
fof(f314,plain,
( ~ sQ19_spl
| ~ sQ23_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f313,f99,f201,f174]) ).
fof(f315,plain,
( sQ16_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f187,f174,f163]) ).
fof(f316,plain,
( ~ sQ17_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f186,f174,f166]) ).
fof(f325,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1)
| difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) = zero
| greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(resolution,[status(thm)],[f283,f40]) ).
fof(f327,definition,
( sQ33_spl
<=> greater(growth_rate(first_movers,sK0_skl),growth_rate(efficient_producers,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ33_spl
| greater(growth_rate(first_movers,sK0_skl),growth_rate(efficient_producers,sK0_skl)) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f331,plain,
! [X0,X1] :
( ~ sQ14_spl
| ~ greater(X1,sK0_skl)
| ~ greater_or_equal(sK0_skl,appear(efficient_producers,X0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(growth_rate(first_movers,sK0_skl),growth_rate(efficient_producers,sK0_skl)) ),
inference(resolution,[status(thm)],[f157,f206]) ).
fof(f332,plain,
( ~ sQ14_spl
| sQ13_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f331,f327,f153,f156]) ).
fof(f335,definition,
( sQ34_spl
<=> greater_or_equal(critical_point(sK1_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ34_spl
| greater_or_equal(critical_point(sK1_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f337,plain,
( sQ34_spl
| ~ greater_or_equal(critical_point(sK1_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f340,definition,
( sQ35_spl
<=> critical_point(sK1_skl) = critical_point(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f348,plain,
! [X0] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ subpopulations(first_movers,efficient_producers,sK1_skl,X0)
| difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) = zero
| greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(resolution,[status(thm)],[f325,f81]) ).
fof(f353,plain,
! [X0] :
( ~ sQ13_spl
| ~ greater(X0,sK0_skl)
| ~ greater_or_equal(sK0_skl,appear(efficient_producers,sK1_skl))
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ in_environment(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f154,f81]) ).
fof(f354,definition,
! [X0] :
( sQ36_spl
<=> ( ~ greater(X0,sK0_skl)
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ in_environment(sK1_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f355,plain,
! [X0] :
( ~ sQ36_spl
| ~ greater(X0,sK0_skl)
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ in_environment(sK1_skl,X0) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,definition,
( sQ37_spl
<=> greater_or_equal(sK0_skl,appear(efficient_producers,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( sQ37_spl
| ~ greater_or_equal(sK0_skl,appear(efficient_producers,sK1_skl)) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( ~ sQ13_spl
| ~ sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f353,f354,f357,f153]) ).
fof(f361,plain,
( ~ sQ33_spl
| sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f328,f183]) ).
fof(f362,plain,
( ~ sQ33_spl
| sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f361]) ).
fof(f364,plain,
! [X0] :
( ~ sQ36_spl
| ~ greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater(X0,sK0_skl)
| ~ in_environment(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f355,f64]) ).
fof(f365,plain,
( ~ sQ36_spl
| ~ greater(difference(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl))),zero)
| ~ in_environment(sK1_skl,critical_point(sK1_skl)) ),
inference(resolution,[status(thm)],[f364,f84]) ).
fof(f367,definition,
( sQ38_spl
<=> greater(difference(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl))),zero) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( sQ38_spl
| ~ greater(difference(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl))),zero) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f365,f108,f367,f354]) ).
fof(f394,definition,
( sQ40_spl
<=> greater(growth_rate(efficient_producers,sK0_skl),growth_rate(efficient_producers,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( sQ40_spl
| ~ greater(growth_rate(efficient_producers,sK0_skl),growth_rate(efficient_producers,sK0_skl)) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f422,plain,
( ~ sQ33_spl
| ~ sQ10_spl
| greater(growth_rate(efficient_producers,sK0_skl),growth_rate(efficient_producers,sK0_skl)) ),
inference(forward_demodulation,[status(thm)],[f136,f328]) ).
fof(f440,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(growth_rate(efficient_producers,sK0_skl),growth_rate(efficient_producers,sK0_skl))
| ~ subpopulations(efficient_producers,first_movers,X0,sK0_skl)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f145,f85]) ).
fof(f441,definition,
! [X0] :
( sQ46_spl
<=> ( ~ subpopulations(efficient_producers,first_movers,X0,sK0_skl)
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f442,plain,
! [X0] :
( ~ sQ46_spl
| ~ subpopulations(efficient_producers,first_movers,X0,sK0_skl)
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f440,f441,f394,f135]) ).
fof(f445,plain,
( ~ sQ46_spl
| ~ subpopulations(efficient_producers,first_movers,sK1_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f442,f81]) ).
fof(f446,plain,
( ~ sQ46_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f445,f129,f441]) ).
fof(f447,plain,
( sQ40_spl
| ~ sQ33_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f396,f422]) ).
fof(f448,plain,
( sQ40_spl
| ~ sQ33_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f447]) ).
fof(f468,plain,
( sQ38_spl
| ~ greater(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl))) ),
inference(resolution,[status(thm)],[f369,f45]) ).
fof(f469,plain,
! [X0,X1] :
( sQ38_spl
| ~ decreases(difference(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl))))
| ~ greater(X1,critical_point(sK1_skl))
| ~ greater_or_equal(critical_point(sK1_skl),appear(efficient_producers,X0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f369,f37]) ).
fof(f471,definition,
! [X0,X1] :
( sQ48_spl
<=> ( ~ greater(X1,critical_point(sK1_skl))
| ~ greater_or_equal(critical_point(sK1_skl),appear(efficient_producers,X0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f474,definition,
( sQ49_spl
<=> decreases(difference(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( sQ49_spl
| ~ decreases(difference(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl)))) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( sQ38_spl
| ~ sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f469,f471,f474,f367]) ).
fof(f478,definition,
( sQ50_spl
<=> greater_or_equal(difference(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl))),zero) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( sQ50_spl
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl))),zero) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,definition,
( sQ51_spl
<=> difference(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl))) = zero ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ51_spl
| difference(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl))) = zero ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f485,plain,
( sQ38_spl
| greater(growth_rate(efficient_producers,critical_point(sK1_skl)),growth_rate(first_movers,critical_point(sK1_skl)))
| ~ subpopulations(first_movers,efficient_producers,sK1_skl,critical_point(sK1_skl))
| difference(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl))) = zero ),
inference(resolution,[status(thm)],[f468,f348]) ).
fof(f487,definition,
( sQ52_spl
<=> greater(growth_rate(efficient_producers,critical_point(sK1_skl)),growth_rate(first_movers,critical_point(sK1_skl))) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ52_spl
| greater(growth_rate(efficient_producers,critical_point(sK1_skl)),growth_rate(first_movers,critical_point(sK1_skl))) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( sQ38_spl
| sQ52_spl
| ~ sQ27_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f485,f481,f229,f487,f367]) ).
fof(f501,plain,
( sQ38_spl
| ~ sQ51_spl
| ~ greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f482,f369]) ).
fof(f505,plain,
! [X0] :
( ~ sQ51_spl
| greater_or_equal(zero,zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl))))
| ~ subpopulations(first_movers,efficient_producers,X0,critical_point(sK1_skl))
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f482,f68]) ).
fof(f507,plain,
( ~ sQ51_spl
| ~ greater(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl)))
| greater(zero,zero) ),
inference(paramodulation,[status(thm)],[f482,f45]) ).
fof(f510,plain,
( ~ sQ51_spl
| greater(growth_rate(efficient_producers,critical_point(sK1_skl)),growth_rate(first_movers,critical_point(sK1_skl)))
| ~ greater(zero,zero) ),
inference(paramodulation,[status(thm)],[f482,f40]) ).
fof(f512,plain,
( ~ sQ51_spl
| decreases(zero)
| decreases(difference(disbanding_rate(first_movers,critical_point(sK1_skl)),disbanding_rate(efficient_producers,critical_point(sK1_skl))))
| ~ decreases(difference(founding_rate(first_movers,critical_point(sK1_skl)),founding_rate(efficient_producers,critical_point(sK1_skl)))) ),
inference(paramodulation,[status(thm)],[f482,f34]) ).
fof(f513,definition,
( sQ55_spl
<=> greater(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl))) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f516,definition,
! [X0] :
( sQ56_spl
<=> ( ~ subpopulations(first_movers,efficient_producers,X0,critical_point(sK1_skl))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f517,plain,
! [X0] :
( ~ sQ56_spl
| ~ subpopulations(first_movers,efficient_producers,X0,critical_point(sK1_skl))
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,definition,
( sQ57_spl
<=> greater(zero,zero) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( sQ57_spl
| ~ greater(zero,zero) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f523,definition,
( sQ58_spl
<=> greater_or_equal(zero,zero) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f527,definition,
( sQ59_spl
<=> decreases(zero) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f531,definition,
( sQ60_spl
<=> greater(zero,difference(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ60_spl
| greater(zero,difference(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl)))) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,plain,
( ~ sQ51_spl
| sQ58_spl
| sQ60_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f505,f516,f531,f523,f481]) ).
fof(f536,plain,
( ~ sQ51_spl
| ~ sQ55_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f507,f519,f513,f481]) ).
fof(f539,plain,
( ~ sQ51_spl
| sQ52_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f510,f519,f487,f481]) ).
fof(f541,definition,
( sQ61_spl
<=> decreases(difference(founding_rate(first_movers,critical_point(sK1_skl)),founding_rate(efficient_producers,critical_point(sK1_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( sQ61_spl
| ~ decreases(difference(founding_rate(first_movers,critical_point(sK1_skl)),founding_rate(efficient_producers,critical_point(sK1_skl)))) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,definition,
( sQ62_spl
<=> decreases(difference(disbanding_rate(first_movers,critical_point(sK1_skl)),disbanding_rate(efficient_producers,critical_point(sK1_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( ~ sQ62_spl
| decreases(difference(disbanding_rate(first_movers,critical_point(sK1_skl)),disbanding_rate(efficient_producers,critical_point(sK1_skl)))) ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,plain,
( ~ sQ51_spl
| sQ59_spl
| sQ62_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f512,f541,f544,f527,f481]) ).
fof(f551,plain,
( ~ sQ52_spl
| ~ environment(sK1_skl) ),
inference(resolution,[status(thm)],[f488,f87]) ).
fof(f553,plain,
( ~ sQ52_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f551,f99,f487]) ).
fof(f607,plain,
( sQ38_spl
| ~ sQ51_spl
| zero = zero
| ~ greater_or_equal(zero,zero) ),
inference(resolution,[status(thm)],[f501,f63]) ).
fof(f608,definition,
( sQ68_spl
<=> zero = zero ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( sQ38_spl
| ~ sQ51_spl
| sQ68_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f607,f523,f608,f481,f367]) ).
fof(f617,plain,
( ~ sQ56_spl
| ~ subpopulations(first_movers,efficient_producers,sK1_skl,critical_point(sK1_skl)) ),
inference(resolution,[status(thm)],[f517,f81]) ).
fof(f618,plain,
( ~ sQ56_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f617,f229,f516]) ).
fof(f671,plain,
( ~ in_environment(sK1_skl,critical_point(sK1_skl))
| ~ environment(sK1_skl)
| greater(growth_rate(efficient_producers,critical_point(sK1_skl)),growth_rate(first_movers,critical_point(sK1_skl)))
| ~ greater(critical_point(sK1_skl),critical_point(sK1_skl)) ),
inference(resolution,[status(thm)],[f125,f30]) ).
fof(f672,definition,
( sQ76_spl
<=> greater(critical_point(sK1_skl),critical_point(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( sQ76_spl
| ~ greater(critical_point(sK1_skl),critical_point(sK1_skl)) ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| sQ52_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f671,f672,f487,f99,f108]) ).
fof(f682,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ3_spl
| subpopulations(first_movers,efficient_producers,sK1_skl,X0)
| ~ greater_or_equal(critical_point(sK1_skl),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sK1_skl)) ),
inference(resolution,[status(thm)],[f103,f240]) ).
fof(f692,plain,
( sQ76_spl
| critical_point(sK1_skl) = critical_point(sK1_skl)
| ~ greater_or_equal(critical_point(sK1_skl),critical_point(sK1_skl)) ),
inference(resolution,[status(thm)],[f674,f63]) ).
fof(f693,plain,
( sQ76_spl
| sQ35_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f692,f296,f340,f672]) ).
fof(f910,plain,
( ~ sQ30_spl
| ~ sQ25_spl
| subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl)
| ~ greater_or_equal(critical_point(sK1_skl),sK0_skl) ),
inference(resolution,[status(thm)],[f219,f289]) ).
fof(f912,plain,
( ~ sQ30_spl
| ~ sQ25_spl
| sQ23_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f910,f335,f201,f213,f288]) ).
fof(f957,plain,
( sQ49_spl
| decreases(difference(disbanding_rate(first_movers,critical_point(sK1_skl)),disbanding_rate(efficient_producers,critical_point(sK1_skl))))
| ~ decreases(difference(founding_rate(first_movers,critical_point(sK1_skl)),founding_rate(efficient_producers,critical_point(sK1_skl)))) ),
inference(resolution,[status(thm)],[f476,f34]) ).
fof(f958,plain,
( sQ49_spl
| sQ62_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f957,f541,f544,f474]) ).
fof(f959,plain,
! [X0] :
( ~ sQ62_spl
| ~ subpopulations(first_movers,efficient_producers,X0,critical_point(sK1_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f545,f28]) ).
fof(f960,plain,
( ~ sQ62_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f959,f516,f544]) ).
fof(f983,plain,
! [X0] :
( sQ61_spl
| ~ subpopulations(first_movers,efficient_producers,X0,critical_point(sK1_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f543,f77]) ).
fof(f984,plain,
( sQ61_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f983,f516,f541]) ).
fof(f1011,plain,
( ~ sQ60_spl
| ~ sQ51_spl
| greater(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f482,f532]) ).
fof(f1012,plain,
( ~ sQ60_spl
| ~ sQ51_spl
| sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1011,f521]) ).
fof(f1013,plain,
( ~ sQ60_spl
| ~ sQ51_spl
| sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1012]) ).
fof(f1016,plain,
( ~ sQ36_spl
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sK1_skl)),growth_rate(efficient_producers,critical_point(sK1_skl))),zero)
| ~ in_environment(sK1_skl,critical_point(sK1_skl)) ),
inference(resolution,[status(thm)],[f355,f84]) ).
fof(f1018,plain,
( ~ sQ36_spl
| ~ sQ50_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1016,f108,f478,f354]) ).
fof(f1019,plain,
( sQ50_spl
| ~ sQ51_spl
| ~ greater_or_equal(zero,zero) ),
inference(forward_demodulation,[status(thm)],[f482,f480]) ).
fof(f1020,plain,
( sQ50_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f86]) ).
fof(f1021,plain,
( sQ50_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1020]) ).
fof(f1026,plain,
( sQ34_spl
| ~ greater(critical_point(sK1_skl),sK0_skl) ),
inference(resolution,[status(thm)],[f337,f64]) ).
fof(f1027,plain,
( sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1026,f84]) ).
fof(f1028,plain,
sQ34_spl,
inference(contradiction_clause,[status(thm)],[f1027]) ).
fof(f1076,plain,
( ~ sQ34_spl
| ~ sQ28_spl
| ~ sQ3_spl
| subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl)
| ~ greater_or_equal(sK0_skl,appear(efficient_producers,sK1_skl)) ),
inference(resolution,[status(thm)],[f682,f336]) ).
fof(f1081,plain,
( ~ sQ34_spl
| ~ sQ28_spl
| ~ sQ3_spl
| sQ23_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1076,f357,f201,f102,f239,f335]) ).
fof(f1083,plain,
( sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f359,f83]) ).
fof(f1084,plain,
sQ37_spl,
inference(contradiction_clause,[status(thm)],[f1083]) ).
fof(f1085,plain,
$false,
inference(sat_refutation,[status(thm)],[f114,f116,f124,f138,f140,f189,f199,f204,f216,f232,f236,f242,f291,f302,f314,f315,f316,f332,f360,f362,f370,f444,f446,f448,f477,f490,f534,f536,f539,f547,f553,f611,f618,f675,f693,f912,f958,f960,f984,f1013,f1018,f1021,f1028,f1081,f1084]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT034+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n018.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 01:24:29 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.52 % Elapsed time: 0.077684 seconds
% 0.17/0.52 % CPU time: 0.209129 seconds
% 0.17/0.52 % Total memory used: 37.870 MB
% 0.17/0.52 % Net memory used: 37.766 MB
%------------------------------------------------------------------------------