%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT037-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 01:25:47 PM UTC 2026
% Result : Satisfiable 0.18s 5.49s
% Output : Saturation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( greater(sk1(B,A),appear(efficient_producers,A))
| cardinality_at_time(efficient_producers,B) != zero
| ~ greater_or_equal(B,appear(efficient_producers,A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] :
( in_environment(A,sk1(B,A))
| cardinality_at_time(efficient_producers,B) != zero
| ~ greater_or_equal(B,appear(efficient_producers,A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( greater(B,sk1(B,A))
| cardinality_at_time(efficient_producers,B) != zero
| ~ greater_or_equal(B,appear(efficient_producers,A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] :
( greater(zero,growth_rate(efficient_producers,sk1(B,A)))
| cardinality_at_time(efficient_producers,B) != zero
| ~ greater_or_equal(B,appear(efficient_producers,A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] :
( number_of_organizations(A,B) = zero
| ~ greater(appear(an_organisation,A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B] :
( subpopulation(sk2(B,A),A,B)
| decreases(number_of_organizations(A,B))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] :
( greater(cardinality_at_time(sk2(B,A),B),zero)
| decreases(number_of_organizations(A,B))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] :
( ~ greater(zero,growth_rate(sk2(B,A),B))
| decreases(number_of_organizations(A,B))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C] :
( cardinality_at_time(C,B) = zero
| ~ subpopulation(C,A,B)
| number_of_organizations(A,B) != zero
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] :
( subpopulation(first_movers,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] :
( subpopulation(efficient_producers,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] :
( ~ greater(zero,growth_rate(A,B))
| cardinality_at_time(A,B) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B] :
( greater(cardinality_at_time(efficient_producers,B),zero)
| cardinality_at_time(efficient_producers,B) = zero
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A] :
( ~ decreases(A)
| ~ constant(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B] :
( greater(appear(an_organisation,A),B)
| ~ greater_or_equal(B,appear(an_organisation,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
! [A,B] :
( greater(number_of_organizations(A,B),zero)
| ~ greater_or_equal(B,appear(an_organisation,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
! [A,B] :
( decreases(resources(A,B))
| ~ greater(equilibrium(A),B)
| ~ greater(number_of_organizations(A,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
! [A,B] :
( constant(resources(A,B))
| greater(equilibrium(A),B)
| ~ greater(number_of_organizations(A,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
! [A,B] :
( ~ decreases(number_of_organizations(A,B))
| ~ decreases(resources(A,B))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
! [A,B] :
( constant(number_of_organizations(A,B))
| ~ constant(resources(A,B))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,hypothesis,
! [A,B,C] :
( B = first_movers
| B = efficient_producers
| ~ greater(cardinality_at_time(B,C),zero)
| ~ subpopulation(B,A,C)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
! [A,B,C,D] :
( ~ greater(zero,growth_rate(D,B))
| ~ greater(resilience(D),resilience(C))
| greater(zero,growth_rate(C,B))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
in_environment(sk3,sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
greater_or_equal(sk4,appear(efficient_producers,sk3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,plain,
! [X0,X1] :
( greater(sk1(X1,X0),appear(efficient_producers,X0))
| cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f29,plain,
! [X0,X1] :
( in_environment(X0,sk1(X1,X0))
| cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f30,plain,
! [X0,X1] :
( greater(X1,sk1(X1,X0))
| cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f31,plain,
! [X0,X1] :
( greater(zero,growth_rate(efficient_producers,sk1(X1,X0)))
| cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
! [X0,X1] :
( number_of_organizations(X0,X1) = zero
| ~ greater(appear(an_organisation,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f33,plain,
! [X0,X1] :
( subpopulation(sk2(X1,X0),X0,X1)
| decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f34,plain,
! [X0,X1] :
( greater(cardinality_at_time(sk2(X1,X0),X1),zero)
| decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f35,plain,
! [X0,X1] :
( ~ greater(zero,growth_rate(sk2(X1,X0),X1))
| decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f36,plain,
! [B,C] :
( cardinality_at_time(C,B) = zero
| ! [A] :
( ~ subpopulation(C,A,B)
| number_of_organizations(A,B) != zero
| ~ in_environment(A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f37,plain,
! [X0,X1,X2] :
( cardinality_at_time(X2,X1) = zero
| ~ subpopulation(X2,X0,X1)
| number_of_organizations(X0,X1) != zero
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f39,plain,
! [X0,X1] :
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f40,plain,
! [X0,X1] :
( ~ greater(zero,growth_rate(X0,X1))
| cardinality_at_time(X0,X1) != zero ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f41,plain,
! [B] :
( greater(cardinality_at_time(efficient_producers,B),zero)
| cardinality_at_time(efficient_producers,B) = zero
| ! [A] :
( ~ in_environment(A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f42,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| cardinality_at_time(efficient_producers,X1) = zero
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
! [X0] :
( ~ decreases(X0)
| ~ constant(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f44,plain,
! [X0,X1] :
( greater(appear(an_organisation,X0),X1)
| ~ greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f45,plain,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f46,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f47,plain,
! [X0,X1] :
( decreases(resources(X0,X1))
| ~ greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f48,plain,
! [X0,X1] :
( constant(resources(X0,X1))
| greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f49,plain,
! [X0,X1] :
( ~ decreases(number_of_organizations(X0,X1))
| ~ decreases(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f50,plain,
! [X0,X1] :
( constant(number_of_organizations(X0,X1))
| ~ constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f51,plain,
! [B] :
( B = first_movers
| B = efficient_producers
| ! [C] :
( ~ greater(cardinality_at_time(B,C),zero)
| ! [A] :
( ~ subpopulation(B,A,C)
| ~ environment(A) ) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f52,plain,
! [X0,X1,X2] :
( X1 = first_movers
| X1 = efficient_producers
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [B,D] :
( ~ greater(zero,growth_rate(D,B))
| ! [C] :
( ~ greater(resilience(D),resilience(C))
| greater(zero,growth_rate(C,B))
| ! [A] :
( ~ in_environment(A,B)
| ~ environment(A) ) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( ~ greater(zero,growth_rate(X3,X1))
| ~ greater(resilience(X3),resilience(X2))
| greater(zero,growth_rate(X2,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
environment(sk3),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f56,plain,
in_environment(sk3,sk4),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f57,plain,
greater_or_equal(sk4,appear(efficient_producers,sk3)),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f58,plain,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f59,plain,
( greater(cardinality_at_time(efficient_producers,sk4),zero)
| cardinality_at_time(efficient_producers,sk4) = zero
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f42,f56]) ).
fof(f60,plain,
( greater(cardinality_at_time(efficient_producers,sk4),zero)
| cardinality_at_time(efficient_producers,sk4) = zero ),
inference(forward_subsumption_resolution,[status(thm)],[f59,f55]) ).
fof(f61,plain,
~ greater(zero,zero),
inference(backward_demodulation,[status(thm)],[f62,f58]) ).
fof(f62,plain,
cardinality_at_time(efficient_producers,sk4) = zero,
inference(forward_subsumption_resolution,[status(thm)],[f60,f58]) ).
fof(f63,plain,
( greater(sk1(sk4,sk3),appear(efficient_producers,sk3))
| cardinality_at_time(efficient_producers,sk4) != zero
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f28,f57]) ).
fof(f64,plain,
( greater(sk1(sk4,sk3),appear(efficient_producers,sk3))
| zero != zero
| ~ environment(sk3) ),
inference(forward_demodulation,[status(thm)],[f62,f63]) ).
fof(f65,plain,
( greater(sk1(sk4,sk3),appear(efficient_producers,sk3))
| ~ environment(sk3) ),
inference(trivial_equality_resolution,[status(thm)],[f64]) ).
fof(f66,plain,
greater(sk1(sk4,sk3),appear(efficient_producers,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[f65,f55]) ).
fof(f67,plain,
( subpopulation(first_movers,sk3,sk4)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f38,f56]) ).
fof(f68,plain,
subpopulation(first_movers,sk3,sk4),
inference(forward_subsumption_resolution,[status(thm)],[f67,f55]) ).
fof(f69,plain,
( in_environment(sk3,sk1(sk4,sk3))
| cardinality_at_time(efficient_producers,sk4) != zero
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f29,f57]) ).
fof(f70,plain,
( in_environment(sk3,sk1(sk4,sk3))
| zero != zero
| ~ environment(sk3) ),
inference(forward_demodulation,[status(thm)],[f62,f69]) ).
fof(f71,plain,
( in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3) ),
inference(trivial_equality_resolution,[status(thm)],[f70]) ).
fof(f72,plain,
in_environment(sk3,sk1(sk4,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[f71,f55]) ).
fof(f73,plain,
( greater(sk4,sk1(sk4,sk3))
| cardinality_at_time(efficient_producers,sk4) != zero
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f30,f57]) ).
fof(f74,plain,
( greater(sk4,sk1(sk4,sk3))
| zero != zero
| ~ environment(sk3) ),
inference(forward_demodulation,[status(thm)],[f62,f73]) ).
fof(f75,plain,
( greater(sk4,sk1(sk4,sk3))
| ~ environment(sk3) ),
inference(trivial_equality_resolution,[status(thm)],[f74]) ).
fof(f76,plain,
greater(sk4,sk1(sk4,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[f75,f55]) ).
fof(f77,plain,
( greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| cardinality_at_time(efficient_producers,sk4) != zero
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f31,f57]) ).
fof(f78,plain,
( greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| zero != zero
| ~ environment(sk3) ),
inference(forward_demodulation,[status(thm)],[f62,f77]) ).
fof(f79,plain,
( greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| ~ environment(sk3) ),
inference(trivial_equality_resolution,[status(thm)],[f78]) ).
fof(f80,plain,
greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))),
inference(forward_subsumption_resolution,[status(thm)],[f79,f55]) ).
fof(f81,plain,
( subpopulation(sk2(sk4,sk3),sk3,sk4)
| decreases(number_of_organizations(sk3,sk4))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f33,f56]) ).
fof(f82,plain,
( subpopulation(sk2(sk4,sk3),sk3,sk4)
| decreases(number_of_organizations(sk3,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[f81,f55]) ).
fof(f83,plain,
( greater(cardinality_at_time(sk2(sk4,sk3),sk4),zero)
| decreases(number_of_organizations(sk3,sk4))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f34,f56]) ).
fof(f84,plain,
( greater(cardinality_at_time(sk2(sk4,sk3),sk4),zero)
| decreases(number_of_organizations(sk3,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[f83,f55]) ).
fof(f85,plain,
( greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero)
| decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f72,f34]) ).
fof(f86,plain,
( subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f72,f33]) ).
fof(f87,plain,
( subpopulation(first_movers,sk3,sk1(sk4,sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f72,f38]) ).
fof(f88,plain,
( greater(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero)
| cardinality_at_time(efficient_producers,sk1(sk4,sk3)) = zero
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f72,f42]) ).
fof(f89,plain,
( greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero)
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(forward_subsumption_resolution,[status(thm)],[f85,f55]) ).
fof(f90,plain,
( subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(forward_subsumption_resolution,[status(thm)],[f86,f55]) ).
fof(f91,plain,
subpopulation(first_movers,sk3,sk1(sk4,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[f87,f55]) ).
fof(f92,plain,
( greater(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero)
| cardinality_at_time(efficient_producers,sk1(sk4,sk3)) = zero ),
inference(forward_subsumption_resolution,[status(thm)],[f88,f55]) ).
fof(f93,plain,
( subpopulation(efficient_producers,sk3,sk1(sk4,sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f39,f72]) ).
fof(f94,plain,
( subpopulation(efficient_producers,sk3,sk4)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f39,f56]) ).
fof(f95,plain,
subpopulation(efficient_producers,sk3,sk1(sk4,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[f93,f55]) ).
fof(f96,plain,
subpopulation(efficient_producers,sk3,sk4),
inference(forward_subsumption_resolution,[status(thm)],[f94,f55]) ).
fof(f100,plain,
( decreases(number_of_organizations(sk3,sk4))
| cardinality_at_time(sk2(sk4,sk3),sk4) = zero
| number_of_organizations(sk3,sk4) != zero
| ~ in_environment(sk3,sk4)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f37,f82]) ).
fof(f101,plain,
( cardinality_at_time(first_movers,sk1(sk4,sk3)) = zero
| number_of_organizations(sk3,sk1(sk4,sk3)) != zero
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f37,f91]) ).
fof(f102,plain,
( cardinality_at_time(first_movers,sk4) = zero
| number_of_organizations(sk3,sk4) != zero
| ~ in_environment(sk3,sk4)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f37,f68]) ).
fof(f105,plain,
( decreases(number_of_organizations(sk3,sk4))
| cardinality_at_time(sk2(sk4,sk3),sk4) = zero
| number_of_organizations(sk3,sk4) != zero
| ~ in_environment(sk3,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[f100,f55]) ).
fof(f106,plain,
( cardinality_at_time(first_movers,sk1(sk4,sk3)) = zero
| number_of_organizations(sk3,sk1(sk4,sk3)) != zero
| ~ in_environment(sk3,sk1(sk4,sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f55]) ).
fof(f107,plain,
( cardinality_at_time(first_movers,sk4) = zero
| number_of_organizations(sk3,sk4) != zero
| ~ in_environment(sk3,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[f102,f55]) ).
fof(f108,plain,
cardinality_at_time(efficient_producers,sk1(sk4,sk3)) != zero,
inference(resolution,[status(thm)],[f40,f80]) ).
fof(f109,plain,
greater(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero),
inference(forward_subsumption_resolution,[status(thm)],[f92,f108]) ).
fof(f110,plain,
( decreases(number_of_organizations(sk3,sk4))
| cardinality_at_time(sk2(sk4,sk3),sk4) = zero
| number_of_organizations(sk3,sk4) != zero ),
inference(forward_subsumption_resolution,[status(thm)],[f105,f56]) ).
fof(f111,plain,
( cardinality_at_time(first_movers,sk4) = zero
| number_of_organizations(sk3,sk4) != zero ),
inference(forward_subsumption_resolution,[status(thm)],[f107,f56]) ).
fof(f114,plain,
( cardinality_at_time(first_movers,sk1(sk4,sk3)) = zero
| number_of_organizations(sk3,sk1(sk4,sk3)) != zero ),
inference(forward_subsumption_resolution,[status(thm)],[f106,f72]) ).
fof(f116,plain,
! [X0] :
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| sk2(sk1(sk4,sk3),sk3) = first_movers
| sk2(sk1(sk4,sk3),sk3) = efficient_producers
| ~ subpopulation(sk2(sk1(sk4,sk3),sk3),X0,sk1(sk4,sk3))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f52,f89]) ).
fof(f117,plain,
! [X0] :
( decreases(number_of_organizations(sk3,sk4))
| sk2(sk4,sk3) = first_movers
| sk2(sk4,sk3) = efficient_producers
| ~ subpopulation(sk2(sk4,sk3),X0,sk4)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f52,f84]) ).
fof(f119,plain,
! [X0,X1] :
( ~ greater(resilience(efficient_producers),resilience(X1))
| greater(zero,growth_rate(X1,sk1(sk4,sk3)))
| ~ in_environment(X0,sk1(sk4,sk3))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f54,f80]) ).
fof(f120,plain,
( decreases(number_of_organizations(sk3,sk4))
| decreases(number_of_organizations(sk3,sk4))
| sk2(sk4,sk3) = first_movers
| sk2(sk4,sk3) = efficient_producers
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f117,f82]) ).
fof(f121,plain,
( decreases(number_of_organizations(sk3,sk4))
| sk2(sk4,sk3) = first_movers
| sk2(sk4,sk3) = efficient_producers
| ~ environment(sk3) ),
inference(duplicate_literals_removal,[status(thm)],[f120]) ).
fof(f122,plain,
( decreases(number_of_organizations(sk3,sk4))
| sk2(sk4,sk3) = first_movers
| sk2(sk4,sk3) = efficient_producers ),
inference(forward_subsumption_resolution,[status(thm)],[f121,f55]) ).
fof(f123,plain,
! [X0] :
( ~ greater(resilience(efficient_producers),resilience(X0))
| greater(zero,growth_rate(X0,sk1(sk4,sk3)))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f119,f72]) ).
fof(f124,plain,
! [X0] :
( ~ greater(resilience(efficient_producers),resilience(X0))
| greater(zero,growth_rate(X0,sk1(sk4,sk3))) ),
inference(forward_subsumption_resolution,[status(thm)],[f123,f55]) ).
fof(f125,plain,
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| sk2(sk1(sk4,sk3),sk3) = first_movers
| sk2(sk1(sk4,sk3),sk3) = efficient_producers
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f116,f90]) ).
fof(f126,plain,
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| sk2(sk1(sk4,sk3),sk3) = first_movers
| sk2(sk1(sk4,sk3),sk3) = efficient_producers
| ~ environment(sk3) ),
inference(duplicate_literals_removal,[status(thm)],[f125]) ).
fof(f127,plain,
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| sk2(sk1(sk4,sk3),sk3) = first_movers
| sk2(sk1(sk4,sk3),sk3) = efficient_producers ),
inference(forward_subsumption_resolution,[status(thm)],[f126,f55]) ).
fof(f128,plain,
greater(zero,growth_rate(first_movers,sk1(sk4,sk3))),
inference(resolution,[status(thm)],[f124,f46]) ).
fof(f129,plain,
! [X0,X1] :
( ~ greater(resilience(first_movers),resilience(X1))
| greater(zero,growth_rate(X1,sk1(sk4,sk3)))
| ~ in_environment(X0,sk1(sk4,sk3))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f128,f54]) ).
fof(f130,plain,
cardinality_at_time(first_movers,sk1(sk4,sk3)) != zero,
inference(resolution,[status(thm)],[f128,f40]) ).
fof(f131,plain,
! [X0] :
( ~ greater(resilience(first_movers),resilience(X0))
| greater(zero,growth_rate(X0,sk1(sk4,sk3)))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[f129,f72]) ).
fof(f132,plain,
! [X0] :
( ~ greater(resilience(first_movers),resilience(X0))
| greater(zero,growth_rate(X0,sk1(sk4,sk3))) ),
inference(forward_subsumption_resolution,[status(thm)],[f131,f55]) ).
fof(f133,plain,
number_of_organizations(sk3,sk1(sk4,sk3)) != zero,
inference(backward_subsumption_resolution,[status(thm)],[f114,f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT037-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/5.45 % Computer : n016.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Mon Sep 21 01:27:57 UTC 2026
% 0.18/5.46 % CPUTime :
% 0.18/5.47 % Drodi V4.1.1
% 0.18/5.49 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.18/5.49 % SZS output start Saturation for theBenchmark
% See solution above
% 0.23/5.55 % Elapsed time: 0.079786 seconds
% 0.23/5.55 % CPU time: 0.097863 seconds
% 0.23/5.55 % Total memory used: 5.172 MB
% 0.23/5.55 % Net memory used: 5.168 MB
%------------------------------------------------------------------------------