%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT034-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 01:25:45 PM UTC 2026
% Result : Satisfiable 0.14s 0.40s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] :
( selection_favors(C,B,D)
| ~ greater(growth_rate(C,D),growth_rate(B,D))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] :
( ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] :
( subpopulations(first_movers,efficient_producers,A,critical_point(A))
| ~ in_environment(A,critical_point(A))
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] :
( subpopulations(first_movers,efficient_producers,A,appear(efficient_producers,A))
| ~ in_environment(A,appear(efficient_producers,A))
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] :
( greater(difference(growth_rate(first_movers,C),growth_rate(efficient_producers,C)),zero)
| ~ decreases(difference(growth_rate(first_movers,C),growth_rate(efficient_producers,C)))
| ~ greater(B,C)
| ~ greater_or_equal(C,appear(efficient_producers,A))
| ~ greater_or_equal(difference(growth_rate(first_movers,B),growth_rate(efficient_producers,B)),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] :
( decreases(difference(growth_rate(first_movers,A),growth_rate(efficient_producers,A)))
| decreases(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A)))
| ~ decreases(difference(founding_rate(first_movers,A),founding_rate(efficient_producers,A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] :
( greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ greater(zero,difference(growth_rate(first_movers,A),growth_rate(efficient_producers,A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] :
( greater(zero,difference(growth_rate(first_movers,A),growth_rate(efficient_producers,A)))
| ~ greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A] :
( greater(growth_rate(first_movers,A),growth_rate(efficient_producers,A))
| ~ greater(difference(growth_rate(first_movers,A),growth_rate(efficient_producers,A)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A] :
( greater(difference(growth_rate(first_movers,A),growth_rate(efficient_producers,A)),zero)
| ~ greater(growth_rate(first_movers,A),growth_rate(efficient_producers,A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B,C,D] :
( in_environment(A,D)
| ~ greater_or_equal(D,B)
| ~ greater_or_equal(C,D)
| ~ in_environment(A,C)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] :
( in_environment(A,start_time(A))
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] :
( greater_or_equal(appear(first_movers,A),start_time(A))
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B] :
( subpopulations(efficient_producers,first_movers,A,B)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B] :
( greater_or_equal(B,appear(efficient_producers,A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B] :
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A,B] :
( greater_or_equal(A,B)
| ~ greater(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A,B] :
( greater_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B] :
( greater_or_equal(difference(growth_rate(first_movers,B),growth_rate(efficient_producers,B)),zero)
| greater(zero,difference(growth_rate(first_movers,B),growth_rate(efficient_producers,B)))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
! [A,B,C,D] :
( subpopulations(first_movers,efficient_producers,A,D)
| ~ greater_or_equal(C,D)
| ~ greater_or_equal(D,B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
! [A,B] :
( ~ greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| B != critical_point(A)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,hypothesis,
! [A,B,C] :
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ greater(C,B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| B != critical_point(A)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
! [A,B] :
( decreases(difference(founding_rate(first_movers,B),founding_rate(efficient_producers,B)))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
in_environment(sk1,critical_point(sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
greater_or_equal(sk2,appear(efficient_producers,sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
greater(critical_point(sk1),sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,plain,
! [B,C,D] :
( selection_favors(C,B,D)
| ~ greater(growth_rate(C,D),growth_rate(B,D))
| ! [A] :
( ~ subpopulations(B,C,A,D)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f30,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)],[f29]) ).
fof(f31,plain,
! [B] :
( ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| ! [A] :
( ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f32,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)],[f31]) ).
fof(f33,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
| ~ in_environment(X0,critical_point(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f34,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)],[f4]) ).
fof(f35,plain,
! [C] :
( greater(difference(growth_rate(first_movers,C),growth_rate(efficient_producers,C)),zero)
| ~ decreases(difference(growth_rate(first_movers,C),growth_rate(efficient_producers,C)))
| ! [B] :
( ~ greater(B,C)
| ! [A] :
( ~ greater_or_equal(C,appear(efficient_producers,A))
| ~ greater_or_equal(difference(growth_rate(first_movers,B),growth_rate(efficient_producers,B)),zero)
| ~ in_environment(A,B)
| ~ environment(A) ) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f36,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)],[f35]) ).
fof(f37,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)],[f6]) ).
fof(f38,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)],[f7]) ).
fof(f39,plain,
! [X0] :
( greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f40,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)],[f9]) ).
fof(f41,plain,
! [X0] :
( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f42,plain,
! [A,D] :
( in_environment(A,D)
| ! [B] :
( ~ greater_or_equal(D,B)
| ! [C] :
( ~ greater_or_equal(C,D)
| ~ in_environment(A,C)
| ~ in_environment(A,B)
| ~ environment(A) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( in_environment(X0,X3)
| ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X2,X3)
| ~ in_environment(X0,X2)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [X0] :
( in_environment(X0,start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f45,plain,
! [X0] :
( greater_or_equal(appear(first_movers,X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f46,plain,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f47,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)],[f15]) ).
fof(f48,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f49,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f50,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f51,plain,
! [B] :
( greater_or_equal(difference(growth_rate(first_movers,B),growth_rate(efficient_producers,B)),zero)
| greater(zero,difference(growth_rate(first_movers,B),growth_rate(efficient_producers,B)))
| ! [A] :
( ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f52,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)],[f51]) ).
fof(f53,plain,
! [A,D] :
( subpopulations(first_movers,efficient_producers,A,D)
| ! [C] :
( ~ greater_or_equal(C,D)
| ! [B] :
( ~ greater_or_equal(D,B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f54,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)],[f53]) ).
fof(f55,plain,
! [B] :
( ~ greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ! [A] :
( B != critical_point(A)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f56,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)],[f55]) ).
fof(f57,plain,
! [C] :
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ! [B] :
( ~ greater(C,B)
| ! [A] :
( ~ subpopulations(first_movers,efficient_producers,A,C)
| B != critical_point(A)
| ~ environment(A) ) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f58,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)],[f57]) ).
fof(f59,plain,
! [B] :
( decreases(difference(founding_rate(first_movers,B),founding_rate(efficient_producers,B)))
| ! [A] :
( ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f60,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)],[f59]) ).
fof(f61,plain,
environment(sk1),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f62,plain,
in_environment(sk1,critical_point(sk1)),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f63,plain,
greater_or_equal(sk2,appear(efficient_producers,sk1)),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f64,plain,
greater(critical_point(sk1),sk2),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f65,plain,
~ selection_favors(first_movers,efficient_producers,sk2),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f66,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f50]) ).
fof(f67,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)],[f56]) ).
fof(f68,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)],[f58]) ).
fof(f69,plain,
greater_or_equal(critical_point(sk1),sk2),
inference(resolution,[status(thm)],[f49,f64]) ).
fof(f71,plain,
( sk2 = appear(efficient_producers,sk1)
| greater(sk2,appear(efficient_producers,sk1)) ),
inference(resolution,[status(thm)],[f48,f63]) ).
fof(f74,plain,
( subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f33,f62]) ).
fof(f75,plain,
subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)),
inference(forward_subsumption_resolution,[status(thm)],[f74,f61]) ).
fof(f76,plain,
( greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f47,f75]) ).
fof(f77,plain,
greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1)),
inference(forward_subsumption_resolution,[status(thm)],[f76,f61]) ).
fof(f78,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| greater(critical_point(sk1),appear(efficient_producers,sk1)) ),
inference(resolution,[status(thm)],[f77,f48]) ).
fof(f79,plain,
in_environment(sk1,start_time(sk1)),
inference(resolution,[status(thm)],[f44,f61]) ).
fof(f80,plain,
greater_or_equal(appear(first_movers,sk1),start_time(sk1)),
inference(resolution,[status(thm)],[f45,f61]) ).
fof(f81,plain,
( appear(first_movers,sk1) = start_time(sk1)
| greater(appear(first_movers,sk1),start_time(sk1)) ),
inference(resolution,[status(thm)],[f80,f48]) ).
fof(f82,plain,
( subpopulations(efficient_producers,first_movers,sk1,critical_point(sk1))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f46,f75]) ).
fof(f83,plain,
subpopulations(efficient_producers,first_movers,sk1,critical_point(sk1)),
inference(forward_subsumption_resolution,[status(thm)],[f82,f61]) ).
fof(f86,plain,
! [X0,X1] :
( in_environment(sk1,X1)
| ~ greater_or_equal(X1,X0)
| ~ greater_or_equal(start_time(sk1),X1)
| ~ in_environment(sk1,X0)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f43,f79]) ).
fof(f87,plain,
! [X0,X1] :
( in_environment(sk1,X1)
| ~ greater_or_equal(X1,X0)
| ~ greater_or_equal(critical_point(sk1),X1)
| ~ in_environment(sk1,X0)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f43,f62]) ).
fof(f88,plain,
! [X0,X1] :
( in_environment(sk1,X1)
| ~ greater_or_equal(X1,X0)
| ~ greater_or_equal(start_time(sk1),X1)
| ~ in_environment(sk1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f86,f61]) ).
fof(f89,plain,
! [X0,X1] :
( in_environment(sk1,X1)
| ~ greater_or_equal(X1,X0)
| ~ greater_or_equal(critical_point(sk1),X1)
| ~ in_environment(sk1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f87,f61]) ).
fof(f91,plain,
! [X0] :
( in_environment(sk1,appear(efficient_producers,sk1))
| ~ greater_or_equal(appear(efficient_producers,sk1),X0)
| ~ in_environment(sk1,X0) ),
inference(resolution,[status(thm)],[f89,f77]) ).
fof(f92,plain,
! [X0] :
( in_environment(sk1,sk2)
| ~ greater_or_equal(sk2,X0)
| ~ in_environment(sk1,X0) ),
inference(resolution,[status(thm)],[f89,f69]) ).
fof(f94,plain,
( in_environment(sk1,sk2)
| ~ greater_or_equal(sk2,start_time(sk1)) ),
inference(resolution,[status(thm)],[f92,f79]) ).
fof(f95,plain,
( in_environment(sk1,sk2)
| ~ greater_or_equal(sk2,critical_point(sk1)) ),
inference(resolution,[status(thm)],[f92,f62]) ).
fof(f97,plain,
( greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
| ~ greater(critical_point(sk1),critical_point(sk1))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f68,f75]) ).
fof(f98,plain,
( greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
| ~ greater(critical_point(sk1),critical_point(sk1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f97,f61]) ).
fof(f99,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(critical_point(sk1),X1)
| ~ greater_or_equal(X1,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f54,f75]) ).
fof(f100,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(critical_point(sk1),X1)
| ~ greater_or_equal(X1,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f99,f61]) ).
fof(f101,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ greater_or_equal(critical_point(sk1),X0)
| ~ greater_or_equal(X0,critical_point(sk1)) ),
inference(resolution,[status(thm)],[f100,f75]) ).
fof(f103,plain,
( decreases(difference(founding_rate(first_movers,critical_point(sk1)),founding_rate(efficient_producers,critical_point(sk1))))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f60,f75]) ).
fof(f104,plain,
decreases(difference(founding_rate(first_movers,critical_point(sk1)),founding_rate(efficient_producers,critical_point(sk1)))),
inference(forward_subsumption_resolution,[status(thm)],[f103,f61]) ).
fof(f105,plain,
( decreases(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| decreases(difference(disbanding_rate(first_movers,critical_point(sk1)),disbanding_rate(efficient_producers,critical_point(sk1)))) ),
inference(resolution,[status(thm)],[f104,f37]) ).
fof(f106,plain,
( greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f52,f75]) ).
fof(f107,plain,
( greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f106,f61]) ).
fof(f108,plain,
( greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
| greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(resolution,[status(thm)],[f107,f38]) ).
fof(f109,plain,
( greater_or_equal(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(resolution,[status(thm)],[f107,f49]) ).
fof(f110,plain,
! [X0,X1] :
( greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater(critical_point(sk1),X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,critical_point(sk1))
| ~ environment(X0)
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
inference(resolution,[status(thm)],[f108,f36]) ).
fof(f111,plain,
( difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero
| greater(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
inference(resolution,[status(thm)],[f108,f48]) ).
fof(f112,plain,
! [X0,X1] :
( greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater(critical_point(sk1),X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,critical_point(sk1))
| ~ environment(X0)
| greater_or_equal(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
inference(resolution,[status(thm)],[f109,f36]) ).
fof(f113,plain,
( difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero
| greater(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| greater_or_equal(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
inference(resolution,[status(thm)],[f109,f48]) ).
fof(f114,plain,
( greater(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
inference(resolution,[status(thm)],[f111,f40]) ).
fof(f117,plain,
( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| ~ greater(critical_point(sk1),sk2)
| ~ in_environment(sk1,critical_point(sk1))
| ~ environment(sk1)
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
inference(resolution,[status(thm)],[f110,f63]) ).
fof(f118,plain,
! [X0] :
( greater(difference(growth_rate(first_movers,appear(efficient_producers,X0)),growth_rate(efficient_producers,appear(efficient_producers,X0))),zero)
| ~ decreases(difference(growth_rate(first_movers,appear(efficient_producers,X0)),growth_rate(efficient_producers,appear(efficient_producers,X0))))
| ~ greater(critical_point(sk1),appear(efficient_producers,X0))
| ~ in_environment(X0,critical_point(sk1))
| ~ environment(X0)
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
inference(resolution,[status(thm)],[f110,f66]) ).
fof(f119,plain,
( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| ~ greater(critical_point(sk1),sk2)
| ~ in_environment(sk1,critical_point(sk1))
| ~ environment(sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f117,f67]) ).
fof(f120,plain,
( greater(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ decreases(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| ~ greater(critical_point(sk1),critical_point(sk1))
| ~ in_environment(sk1,critical_point(sk1))
| ~ environment(sk1)
| greater_or_equal(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
inference(resolution,[status(thm)],[f112,f77]) ).
fof(f122,plain,
! [X0] :
( greater(difference(growth_rate(first_movers,appear(efficient_producers,X0)),growth_rate(efficient_producers,appear(efficient_producers,X0))),zero)
| ~ decreases(difference(growth_rate(first_movers,appear(efficient_producers,X0)),growth_rate(efficient_producers,appear(efficient_producers,X0))))
| ~ greater(critical_point(sk1),appear(efficient_producers,X0))
| ~ in_environment(X0,critical_point(sk1))
| ~ environment(X0)
| greater_or_equal(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
inference(resolution,[status(thm)],[f112,f66]) ).
fof(f123,plain,
( greater(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ decreases(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| ~ greater(critical_point(sk1),critical_point(sk1))
| ~ in_environment(sk1,critical_point(sk1))
| greater_or_equal(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f120,f61]) ).
fof(f125,plain,
( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| ~ greater(critical_point(sk1),sk2)
| ~ in_environment(sk1,critical_point(sk1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f119,f61]) ).
fof(f127,plain,
! [X0] :
( selection_favors(first_movers,efficient_producers,critical_point(sk1))
| ~ subpopulations(efficient_producers,first_movers,X0,critical_point(sk1))
| ~ environment(X0)
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
inference(resolution,[status(thm)],[f114,f30]) ).
fof(f128,plain,
( greater_or_equal(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
inference(resolution,[status(thm)],[f114,f49]) ).
fof(f129,plain,
( ~ environment(sk1)
| greater_or_equal(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero ),
inference(resolution,[status(thm)],[f128,f67]) ).
fof(f133,plain,
( greater_or_equal(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero ),
inference(forward_subsumption_resolution,[status(thm)],[f129,f61]) ).
fof(f134,plain,
( growth_rate(first_movers,critical_point(sk1)) = growth_rate(efficient_producers,critical_point(sk1))
| greater(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero ),
inference(resolution,[status(thm)],[f133,f48]) ).
fof(f135,plain,
( greater(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| growth_rate(first_movers,critical_point(sk1)) = growth_rate(efficient_producers,critical_point(sk1))
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero ),
inference(resolution,[status(thm)],[f134,f41]) ).
fof(f139,plain,
( greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| growth_rate(first_movers,critical_point(sk1)) = growth_rate(efficient_producers,critical_point(sk1))
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero ),
inference(resolution,[status(thm)],[f135,f49]) ).
fof(f140,plain,
! [X0,X1] :
( greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater(critical_point(sk1),X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,critical_point(sk1))
| ~ environment(X0)
| growth_rate(first_movers,critical_point(sk1)) = growth_rate(efficient_producers,critical_point(sk1))
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero ),
inference(resolution,[status(thm)],[f139,f36]) ).
fof(f145,plain,
( selection_favors(first_movers,efficient_producers,critical_point(sk1))
| ~ environment(sk1)
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
inference(resolution,[status(thm)],[f127,f83]) ).
fof(f146,plain,
( selection_favors(first_movers,efficient_producers,critical_point(sk1))
| ~ environment(sk1)
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero ),
inference(forward_subsumption_resolution,[status(thm)],[f145,f67]) ).
fof(f147,plain,
( selection_favors(first_movers,efficient_producers,critical_point(sk1))
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero ),
inference(forward_subsumption_resolution,[status(thm)],[f146,f61]) ).
fof(f148,plain,
( greater(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero
| greater_or_equal(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
inference(resolution,[status(thm)],[f113,f40]) ).
fof(f150,plain,
( greater(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ decreases(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| ~ greater(critical_point(sk1),critical_point(sk1))
| greater_or_equal(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f123,f62]) ).
fof(f151,plain,
( decreases(difference(disbanding_rate(first_movers,critical_point(sk1)),disbanding_rate(efficient_producers,critical_point(sk1))))
| greater(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ greater(critical_point(sk1),critical_point(sk1))
| greater_or_equal(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
inference(resolution,[status(thm)],[f150,f105]) ).
fof(f152,plain,
( zero = difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
| greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| greater(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero ),
inference(resolution,[status(thm)],[f148,f48]) ).
fof(f153,plain,
( greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| greater(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero ),
inference(duplicate_literals_removal,[status(thm)],[f152]) ).
fof(f158,plain,
! [X0] :
( greater(difference(growth_rate(first_movers,appear(efficient_producers,X0)),growth_rate(efficient_producers,appear(efficient_producers,X0))),zero)
| ~ decreases(difference(growth_rate(first_movers,appear(efficient_producers,X0)),growth_rate(efficient_producers,appear(efficient_producers,X0))))
| ~ greater(critical_point(sk1),appear(efficient_producers,X0))
| ~ in_environment(X0,critical_point(sk1))
| ~ environment(X0)
| growth_rate(first_movers,critical_point(sk1)) = growth_rate(efficient_producers,critical_point(sk1))
| difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))) = zero ),
inference(resolution,[status(thm)],[f140,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT034-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 01:25:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.40 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.14/0.40 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.061679 seconds
% 0.14/0.44 % CPU time: 0.276689 seconds
% 0.14/0.44 % Total memory used: 84.804 MB
% 0.14/0.44 % Net memory used: 84.331 MB
%------------------------------------------------------------------------------