%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT026-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:25:19 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 16
% Syntax : Number of formulae : 97 ( 18 unt; 0 def)
% Number of atoms : 287 ( 59 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 344 ( 154 ~; 190 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 98 ( 98 !; 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C,D] :
( selection_favors(B,D,C)
| cardinality_at_time(D,C) != zero
| ~ greater(cardinality_at_time(B,C),zero)
| ~ subpopulation(D,A,C)
| ~ subpopulation(B,A,C)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( subpopulations(first_movers,efficient_producers,A,B)
| ~ greater(cardinality_at_time(efficient_producers,B),zero)
| ~ greater(cardinality_at_time(first_movers,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] :
( greater_or_equal(cardinality_at_time(first_movers,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] :
( subpopulation(first_movers,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B] :
( subpopulation(efficient_producers,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] :
( greater_or_equal(critical_point(A),appear(efficient_producers,A))
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] :
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] :
( greater_or_equal(A,B)
| ~ greater(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,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(f14,hypothesis,
! [A,B] :
( greater(cardinality_at_time(efficient_producers,B),zero)
| ~ greater_or_equal(B,appear(efficient_producers,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
in_environment(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
greater(sk2,critical_point(sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,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(f20,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)],[f19]) ).
fof(f21,plain,
! [B,C,D] :
( selection_favors(B,D,C)
| cardinality_at_time(D,C) != zero
| ~ greater(cardinality_at_time(B,C),zero)
| ! [A] :
( ~ subpopulation(D,A,C)
| ~ subpopulation(B,A,C)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f22,plain,
! [X0,X1,X2,X3] :
( selection_favors(X1,X3,X2)
| cardinality_at_time(X3,X2) != zero
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X3,X0,X2)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f24,plain,
! [B] :
( greater_or_equal(cardinality_at_time(first_movers,B),zero)
| ! [A] :
( ~ in_environment(A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f25,plain,
! [X0,X1] :
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f27,plain,
! [X0,X1] :
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f28,plain,
! [X0] :
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f29,plain,
! [A,C] :
( greater(A,C)
| ! [B] :
( ~ greater(B,C)
| ~ greater(A,B) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f30,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f32,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f36,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)],[f13]) ).
fof(f37,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)],[f36]) ).
fof(f38,plain,
! [B] :
( greater(cardinality_at_time(efficient_producers,B),zero)
| ! [A] :
( ~ greater_or_equal(B,appear(efficient_producers,A))
| ~ in_environment(A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f39,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
environment(sk1),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f41,plain,
in_environment(sk1,sk2),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f42,plain,
greater(sk2,critical_point(sk1)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f43,plain,
~ selection_favors(efficient_producers,first_movers,sk2),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f46,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)],[f37]) ).
fof(f48,plain,
( greater_or_equal(cardinality_at_time(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f25,f41]) ).
fof(f49,plain,
greater_or_equal(cardinality_at_time(first_movers,sk2),zero),
inference(forward_subsumption_resolution,[status(thm)],[f48,f40]) ).
fof(f50,plain,
greater_or_equal(sk2,critical_point(sk1)),
inference(resolution,[status(thm)],[f32,f42]) ).
fof(f51,plain,
( subpopulation(first_movers,sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f26,f41]) ).
fof(f52,plain,
subpopulation(first_movers,sk1,sk2),
inference(forward_subsumption_resolution,[status(thm)],[f51,f40]) ).
fof(f53,plain,
( subpopulation(efficient_producers,sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f27,f41]) ).
fof(f54,plain,
subpopulation(efficient_producers,sk1,sk2),
inference(forward_subsumption_resolution,[status(thm)],[f53,f40]) ).
fof(f55,plain,
greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1)),
inference(resolution,[status(thm)],[f28,f40]) ).
fof(f58,plain,
( cardinality_at_time(first_movers,sk2) = zero
| greater(cardinality_at_time(first_movers,sk2),zero) ),
inference(resolution,[status(thm)],[f49,f31]) ).
fof(f59,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| greater(critical_point(sk1),appear(efficient_producers,sk1)) ),
inference(resolution,[status(thm)],[f55,f31]) ).
fof(f60,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ in_environment(X0,sk2)
| ~ environment(X0)
| cardinality_at_time(first_movers,sk2) = zero ),
inference(resolution,[status(thm)],[f58,f23]) ).
fof(f64,plain,
! [X0] :
( greater(X0,appear(efficient_producers,sk1))
| ~ greater(X0,critical_point(sk1))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f59,f30]) ).
fof(f68,plain,
( greater(sk2,appear(efficient_producers,sk1))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f64,f42]) ).
fof(f69,plain,
( greater_or_equal(sk2,appear(efficient_producers,sk1))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f68,f32]) ).
fof(f71,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ in_environment(sk1,sk2)
| ~ environment(sk1)
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f69,f39]) ).
fof(f73,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ in_environment(sk1,sk2)
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f71,f40]) ).
fof(f74,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f73,f41]) ).
fof(f75,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ in_environment(X0,sk2)
| ~ environment(X0)
| cardinality_at_time(first_movers,sk2) = zero
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f74,f60]) ).
fof(f78,plain,
( subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ environment(sk1)
| cardinality_at_time(first_movers,sk2) = zero
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f75,f41]) ).
fof(f79,plain,
( subpopulations(first_movers,efficient_producers,sk1,sk2)
| cardinality_at_time(first_movers,sk2) = zero
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f78,f40]) ).
fof(f81,plain,
( greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| ~ greater(sk2,critical_point(sk1))
| ~ environment(sk1)
| cardinality_at_time(first_movers,sk2) = zero
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f79,f46]) ).
fof(f82,plain,
( greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| ~ greater(sk2,critical_point(sk1))
| cardinality_at_time(first_movers,sk2) = zero
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f81,f40]) ).
fof(f83,plain,
( greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| cardinality_at_time(first_movers,sk2) = zero
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f42]) ).
fof(f84,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,sk2)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0)
| cardinality_at_time(first_movers,sk2) = zero
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f83,f20]) ).
fof(f87,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0)
| cardinality_at_time(first_movers,sk2) = zero
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f43]) ).
fof(f88,plain,
! [X0] :
( ~ in_environment(X0,sk2)
| ~ environment(X0)
| cardinality_at_time(first_movers,sk2) = zero
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(backward_subsumption_resolution,[status(thm)],[f75,f87]) ).
fof(f92,plain,
( ~ environment(sk1)
| cardinality_at_time(first_movers,sk2) = zero
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[status(thm)],[f88,f41]) ).
fof(f93,plain,
( cardinality_at_time(first_movers,sk2) = zero
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f92,f40]) ).
fof(f99,plain,
! [X0] :
( cardinality_at_time(first_movers,sk2) = zero
| greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater_or_equal(X0,critical_point(sk1))
| ~ in_environment(sk1,X0)
| ~ environment(sk1) ),
inference(paramodulation,[status(thm)],[f93,f39]) ).
fof(f101,plain,
! [X0] :
( cardinality_at_time(first_movers,sk2) = zero
| greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater_or_equal(X0,critical_point(sk1))
| ~ in_environment(sk1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f99,f40]) ).
fof(f102,plain,
( cardinality_at_time(first_movers,sk2) = zero
| greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ in_environment(sk1,sk2) ),
inference(resolution,[status(thm)],[f101,f50]) ).
fof(f104,plain,
( cardinality_at_time(first_movers,sk2) = zero
| greater(cardinality_at_time(efficient_producers,sk2),zero) ),
inference(forward_subsumption_resolution,[status(thm)],[f102,f41]) ).
fof(f105,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ in_environment(X0,sk2)
| ~ environment(X0)
| cardinality_at_time(first_movers,sk2) = zero ),
inference(backward_subsumption_resolution,[status(thm)],[f60,f104]) ).
fof(f109,plain,
( subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ environment(sk1)
| cardinality_at_time(first_movers,sk2) = zero ),
inference(resolution,[status(thm)],[f105,f41]) ).
fof(f110,plain,
( subpopulations(first_movers,efficient_producers,sk1,sk2)
| cardinality_at_time(first_movers,sk2) = zero ),
inference(forward_subsumption_resolution,[status(thm)],[f109,f40]) ).
fof(f111,plain,
( greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| ~ greater(sk2,critical_point(sk1))
| ~ environment(sk1)
| cardinality_at_time(first_movers,sk2) = zero ),
inference(resolution,[status(thm)],[f110,f46]) ).
fof(f112,plain,
( greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| ~ greater(sk2,critical_point(sk1))
| cardinality_at_time(first_movers,sk2) = zero ),
inference(forward_subsumption_resolution,[status(thm)],[f111,f40]) ).
fof(f113,plain,
( greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| cardinality_at_time(first_movers,sk2) = zero ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f42]) ).
fof(f114,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,sk2)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0)
| cardinality_at_time(first_movers,sk2) = zero ),
inference(resolution,[status(thm)],[f113,f20]) ).
fof(f117,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0)
| cardinality_at_time(first_movers,sk2) = zero ),
inference(forward_subsumption_resolution,[status(thm)],[f114,f43]) ).
fof(f118,plain,
! [X0] :
( ~ in_environment(X0,sk2)
| ~ environment(X0)
| cardinality_at_time(first_movers,sk2) = zero ),
inference(backward_subsumption_resolution,[status(thm)],[f105,f117]) ).
fof(f122,plain,
( ~ environment(sk1)
| cardinality_at_time(first_movers,sk2) = zero ),
inference(resolution,[status(thm)],[f118,f41]) ).
fof(f123,plain,
cardinality_at_time(first_movers,sk2) = zero,
inference(forward_subsumption_resolution,[status(thm)],[f122,f40]) ).
fof(f136,plain,
! [X0,X1] :
( selection_favors(X1,first_movers,sk2)
| ~ greater(cardinality_at_time(X1,sk2),zero)
| ~ subpopulation(first_movers,X0,sk2)
| ~ subpopulation(X1,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f123,f22]) ).
fof(f140,plain,
! [X0] :
( critical_point(sk1) = appear(efficient_producers,sk1)
| selection_favors(efficient_producers,first_movers,sk2)
| ~ subpopulation(first_movers,X0,sk2)
| ~ subpopulation(efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f136,f74]) ).
fof(f142,plain,
! [X0] :
( critical_point(sk1) = appear(efficient_producers,sk1)
| ~ subpopulation(first_movers,X0,sk2)
| ~ subpopulation(efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f140,f43]) ).
fof(f147,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| ~ subpopulation(efficient_producers,sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f142,f52]) ).
fof(f148,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| ~ subpopulation(efficient_producers,sk1,sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[f147,f40]) ).
fof(f159,plain,
critical_point(sk1) = appear(efficient_producers,sk1),
inference(forward_subsumption_resolution,[status(thm)],[f148,f54]) ).
fof(f161,plain,
! [X0] :
( greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater_or_equal(X0,critical_point(sk1))
| ~ in_environment(sk1,X0)
| ~ environment(sk1) ),
inference(paramodulation,[status(thm)],[f159,f39]) ).
fof(f163,plain,
! [X0] :
( greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater_or_equal(X0,critical_point(sk1))
| ~ in_environment(sk1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f161,f40]) ).
fof(f164,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ in_environment(sk1,sk2) ),
inference(resolution,[status(thm)],[f163,f50]) ).
fof(f166,plain,
greater(cardinality_at_time(efficient_producers,sk2),zero),
inference(forward_subsumption_resolution,[status(thm)],[f164,f41]) ).
fof(f168,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,sk2)
| ~ subpopulation(first_movers,X0,sk2)
| ~ subpopulation(efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f166,f136]) ).
fof(f171,plain,
! [X0] :
( ~ subpopulation(first_movers,X0,sk2)
| ~ subpopulation(efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f168,f43]) ).
fof(f175,plain,
( ~ subpopulation(efficient_producers,sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f171,f52]) ).
fof(f176,plain,
~ subpopulation(efficient_producers,sk1,sk2),
inference(forward_subsumption_resolution,[status(thm)],[f175,f40]) ).
fof(f177,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f176,f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT026-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 01:17:42 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.050017 seconds
% 0.12/0.41 % CPU time: 0.156092 seconds
% 0.12/0.41 % Total memory used: 80.865 MB
% 0.12/0.41 % Net memory used: 80.457 MB
%------------------------------------------------------------------------------