%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT034-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 01:25:21 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 23
% Syntax : Number of formulae : 121 ( 25 unt; 0 def)
% Number of atoms : 335 ( 37 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 397 ( 183 ~; 214 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 109 ( 109 !; 0 ?)
% 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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f5,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/sandbox/benchmark/theBenchmark.p') ).
fof(f6,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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B] :
( in_environment(A,B)
| ~ greater(critical_point(A),B)
| ~ greater_or_equal(B,appear(efficient_producers,A))
| ~ in_environment(A,critical_point(A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B] :
( subpopulations(efficient_producers,first_movers,A,B)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A,B] :
( greater_or_equal(B,appear(efficient_producers,A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A,B] :
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B] :
( greater_or_equal(A,B)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A,B] :
( greater_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,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/sandbox/benchmark/theBenchmark.p') ).
fof(f22,hypothesis,
! [A,B] :
( ~ greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| B != critical_point(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,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/sandbox/benchmark/theBenchmark.p') ).
fof(f25,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/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
in_environment(sk1,critical_point(sk1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
greater_or_equal(sk2,appear(efficient_producers,sk1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
greater(critical_point(sk1),sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,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(f32,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)],[f31]) ).
fof(f33,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(f34,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)],[f33]) ).
fof(f35,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(f36,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(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)],[f5]) ).
fof(f38,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)],[f6]) ).
fof(f39,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)],[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)],[f7]) ).
fof(f42,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(f48,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)],[f14]) ).
fof(f50,plain,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f51,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)],[f17]) ).
fof(f52,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f53,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f54,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f55,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)],[f21]) ).
fof(f56,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)],[f55]) ).
fof(f57,plain,
! [B] :
( ~ greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ! [A] :
( B != critical_point(A)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f58,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)],[f57]) ).
fof(f61,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)],[f24]) ).
fof(f62,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)],[f61]) ).
fof(f63,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)],[f25]) ).
fof(f64,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)],[f63]) ).
fof(f65,plain,
environment(sk1),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f66,plain,
in_environment(sk1,critical_point(sk1)),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f67,plain,
greater_or_equal(sk2,appear(efficient_producers,sk1)),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f68,plain,
greater(critical_point(sk1),sk2),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f69,plain,
~ selection_favors(first_movers,efficient_producers,sk2),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f70,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f54]) ).
fof(f71,plain,
greater_or_equal(critical_point(sk1),sk2),
inference(resolution,[status(thm)],[f53,f68]) ).
fof(f76,plain,
( subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f35,f66]) ).
fof(f77,plain,
subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)),
inference(forward_subsumption_resolution,[status(thm)],[f76,f65]) ).
fof(f80,plain,
( greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f51,f77]) ).
fof(f81,plain,
greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1)),
inference(forward_subsumption_resolution,[status(thm)],[f80,f65]) ).
fof(f82,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| greater(critical_point(sk1),appear(efficient_producers,sk1)) ),
inference(resolution,[status(thm)],[f81,f52]) ).
fof(f83,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| X0 != critical_point(sk1) ),
inference(resolution,[status(thm)],[f58,f65]) ).
fof(f87,plain,
! [X0] :
( in_environment(sk1,X0)
| ~ greater(critical_point(sk1),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sk1))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f48,f66]) ).
fof(f88,plain,
! [X0] :
( in_environment(sk1,X0)
| ~ greater(critical_point(sk1),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sk1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f87,f65]) ).
fof(f106,plain,
( in_environment(sk1,appear(efficient_producers,sk1))
| ~ greater(critical_point(sk1),appear(efficient_producers,sk1)) ),
inference(resolution,[status(thm)],[f88,f70]) ).
fof(f125,plain,
! [X0] :
( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ greater(critical_point(sk1),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sk1))
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f39,f66]) ).
fof(f128,plain,
! [X0] :
( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ greater(critical_point(sk1),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sk1))
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(forward_subsumption_resolution,[status(thm)],[f125,f65]) ).
fof(f139,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| in_environment(sk1,appear(efficient_producers,sk1)) ),
inference(resolution,[status(thm)],[f106,f82]) ).
fof(f143,plain,
( subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1))
| ~ environment(sk1)
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f139,f36]) ).
fof(f146,plain,
( subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f65]) ).
fof(f163,plain,
! [X0,X1] :
( critical_point(sk1) = appear(efficient_producers,sk1)
| subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(X0,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,sk1))
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f62,f146]) ).
fof(f164,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(X0,X1)
| ~ greater_or_equal(X1,critical_point(sk1))
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f62,f77]) ).
fof(f165,plain,
! [X0,X1] :
( critical_point(sk1) = appear(efficient_producers,sk1)
| subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(X0,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,sk1))
| ~ subpopulations(first_movers,efficient_producers,sk1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f163,f65]) ).
fof(f166,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(X0,X1)
| ~ greater_or_equal(X1,critical_point(sk1))
| ~ subpopulations(first_movers,efficient_producers,sk1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f65]) ).
fof(f174,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)],[f166,f77]) ).
fof(f198,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)],[f56,f77]) ).
fof(f200,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)],[f198,f65]) ).
fof(f201,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)],[f200,f40]) ).
fof(f211,plain,
! [X0] :
( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ greater(critical_point(sk1),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sk1))
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
inference(resolution,[status(thm)],[f201,f128]) ).
fof(f214,plain,
! [X0] :
( critical_point(sk1) = appear(efficient_producers,sk1)
| subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ greater_or_equal(critical_point(sk1),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sk1)) ),
inference(resolution,[status(thm)],[f165,f77]) ).
fof(f217,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ greater_or_equal(critical_point(sk1),sk2) ),
inference(resolution,[status(thm)],[f214,f67]) ).
fof(f219,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[f217,f71]) ).
fof(f223,plain,
( decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2)))
| ~ environment(sk1)
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f219,f64]) ).
fof(f226,plain,
( ~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ environment(sk1)
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f219,f34]) ).
fof(f227,plain,
( subpopulations(efficient_producers,first_movers,sk1,sk2)
| ~ environment(sk1)
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f219,f50]) ).
fof(f232,plain,
( decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2)))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f65]) ).
fof(f235,plain,
( ~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f226,f65]) ).
fof(f236,plain,
( subpopulations(efficient_producers,first_movers,sk1,sk2)
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f227,f65]) ).
fof(f238,plain,
( selection_favors(first_movers,efficient_producers,sk2)
| ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
| ~ environment(sk1)
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f236,f32]) ).
fof(f239,plain,
( selection_favors(first_movers,efficient_producers,sk2)
| ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f238,f65]) ).
fof(f240,plain,
( decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f232,f37]) ).
fof(f242,plain,
( ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f239,f69]) ).
fof(f267,plain,
( decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f240,f235]) ).
fof(f268,plain,
( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| ~ greater(critical_point(sk1),sk2)
| ~ greater_or_equal(sk2,appear(efficient_producers,sk1))
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f267,f211]) ).
fof(f269,plain,
( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| ~ greater(critical_point(sk1),sk2)
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f268,f67]) ).
fof(f276,plain,
( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f269,f68]) ).
fof(f277,plain,
( greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f276,f42]) ).
fof(f279,plain,
( greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1)))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f242]) ).
fof(f282,plain,
( critical_point(sk1) != critical_point(sk1)
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f279,f83]) ).
fof(f284,plain,
critical_point(sk1) = appear(efficient_producers,sk1),
inference(trivial_equality_resolution,[status(thm)],[f282]) ).
fof(f298,plain,
! [X0] :
( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ greater(critical_point(sk1),X0)
| ~ greater_or_equal(X0,critical_point(sk1))
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
inference(backward_demodulation,[status(thm)],[f284,f211]) ).
fof(f336,plain,
greater_or_equal(sk2,critical_point(sk1)),
inference(backward_demodulation,[status(thm)],[f284,f67]) ).
fof(f347,plain,
( subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ greater_or_equal(critical_point(sk1),sk2) ),
inference(resolution,[status(thm)],[f336,f174]) ).
fof(f350,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(forward_subsumption_resolution,[status(thm)],[f347,f71]) ).
fof(f353,plain,
( decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2)))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f350,f64]) ).
fof(f356,plain,
( ~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f350,f34]) ).
fof(f357,plain,
( subpopulations(efficient_producers,first_movers,sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f350,f50]) ).
fof(f361,plain,
decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))),
inference(forward_subsumption_resolution,[status(thm)],[f353,f65]) ).
fof(f364,plain,
~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(forward_subsumption_resolution,[status(thm)],[f356,f65]) ).
fof(f365,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(forward_subsumption_resolution,[status(thm)],[f357,f65]) ).
fof(f372,plain,
( selection_favors(first_movers,efficient_producers,sk2)
| ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f365,f32]) ).
fof(f373,plain,
( selection_favors(first_movers,efficient_producers,sk2)
| ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f372,f65]) ).
fof(f374,plain,
( decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolution,[status(thm)],[f361,f37]) ).
fof(f377,plain,
~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),
inference(forward_subsumption_resolution,[status(thm)],[f373,f69]) ).
fof(f396,plain,
decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))),
inference(forward_subsumption_resolution,[status(thm)],[f374,f364]) ).
fof(f430,plain,
( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| ~ greater(critical_point(sk1),sk2)
| ~ greater_or_equal(sk2,critical_point(sk1))
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
inference(resolution,[status(thm)],[f298,f396]) ).
fof(f432,plain,
( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| ~ greater(critical_point(sk1),sk2)
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f430,f336]) ).
fof(f433,plain,
( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f432,f68]) ).
fof(f434,plain,
( greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))) ),
inference(resolution,[status(thm)],[f433,f42]) ).
fof(f436,plain,
greater(growth_rate(efficient_producers,critical_point(sk1)),growth_rate(first_movers,critical_point(sk1))),
inference(forward_subsumption_resolution,[status(thm)],[f434,f377]) ).
fof(f439,plain,
critical_point(sk1) != critical_point(sk1),
inference(resolution,[status(thm)],[f436,f83]) ).
fof(f441,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT034-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 01:25:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.069271 seconds
% 0.13/0.43 % CPU time: 0.242475 seconds
% 0.13/0.43 % Total memory used: 84.029 MB
% 0.13/0.43 % Net memory used: 83.632 MB
%------------------------------------------------------------------------------