%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT037+2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 01:25:46 PM UTC 2026
% Result : CounterSatisfiable 0.18s 0.49s
% Output : Saturation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [E,T] :
( ( cardinality_at_time(efficient_producers,T) = zero
& greater_or_equal(T,appear(efficient_producers,E))
& environment(E) )
=> ? [To] :
( greater(zero,growth_rate(efficient_producers,To))
& greater(T,To)
& in_environment(E,To)
& greater(To,appear(efficient_producers,E)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [E,T] :
( ( greater(appear(an_organisation,E),T)
& in_environment(E,T)
& environment(E) )
=> number_of_organizations(E,T) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [E,T] :
( ( ~ decreases(number_of_organizations(E,T))
& in_environment(E,T)
& environment(E) )
=> ? [X] :
( ~ greater(zero,growth_rate(X,T))
& greater(cardinality_at_time(X,T),zero)
& subpopulation(X,E,T) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [E,T,X] :
( ( subpopulation(X,E,T)
& number_of_organizations(E,T) = zero
& in_environment(E,T)
& environment(E) )
=> cardinality_at_time(X,T) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [E,T] :
( ( in_environment(E,T)
& environment(E) )
=> ( subpopulation(efficient_producers,E,T)
& subpopulation(first_movers,E,T) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [S,T] :
( cardinality_at_time(S,T) = zero
=> ~ greater(zero,growth_rate(S,T)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [E,T] :
( ( in_environment(E,T)
& environment(E) )
=> ( greater(cardinality_at_time(efficient_producers,T),zero)
| cardinality_at_time(efficient_producers,T) = zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( constant(X)
=> ~ decreases(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [E,T] :
( ( in_environment(E,T)
& environment(E) )
=> ( greater(appear(an_organisation,E),T)
| ~ greater_or_equal(T,appear(an_organisation,E)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
! [E,T] :
( ( greater_or_equal(T,appear(an_organisation,E))
& in_environment(E,T)
& environment(E) )
=> greater(number_of_organizations(E,T),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
! [E,T] :
( ( greater(number_of_organizations(E,T),zero)
& in_environment(E,T)
& environment(E) )
=> ( ( ~ greater(equilibrium(E),T)
=> constant(resources(E,T)) )
& ( greater(equilibrium(E),T)
=> decreases(resources(E,T)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
! [E,T] :
( ( in_environment(E,T)
& environment(E) )
=> ( ( constant(resources(E,T))
=> constant(number_of_organizations(E,T)) )
& ( decreases(resources(E,T))
=> ~ decreases(number_of_organizations(E,T)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
! [E,X,T] :
( ( greater(cardinality_at_time(X,T),zero)
& subpopulation(X,E,T)
& environment(E) )
=> ( X = first_movers
| X = efficient_producers ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
! [E,S1,S2,T] :
( ( greater(resilience(S2),resilience(S1))
& ~ greater(zero,growth_rate(S1,T))
& in_environment(E,T)
& environment(E) )
=> ~ greater(zero,growth_rate(S2,T)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,conjecture,
! [E,T] :
( ( greater_or_equal(T,appear(efficient_producers,E))
& in_environment(E,T)
& environment(E) )
=> greater(cardinality_at_time(efficient_producers,T),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ ! [E,T] :
( ( greater_or_equal(T,appear(efficient_producers,E))
& in_environment(E,T)
& environment(E) )
=> greater(cardinality_at_time(efficient_producers,T),zero) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f18,plain,
! [E,T] :
( ? [To] :
( greater(zero,growth_rate(efficient_producers,To))
& greater(T,To)
& in_environment(E,To)
& greater(To,appear(efficient_producers,E)) )
| cardinality_at_time(efficient_producers,T) != zero
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f19,plain,
! [E,T] :
( ( greater(zero,growth_rate(efficient_producers,sK0_skl(T,E)))
& greater(T,sK0_skl(T,E))
& in_environment(E,sK0_skl(T,E))
& greater(sK0_skl(T,E),appear(efficient_producers,E)) )
| cardinality_at_time(efficient_producers,T) != zero
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ environment(E) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(To,sK0_skl(T,E))],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( greater(sK0_skl(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)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( in_environment(X0,sK0_skl(X1,X0))
| cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f22,plain,
! [X0,X1] :
( greater(X1,sK0_skl(X1,X0))
| cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f23,plain,
! [X0,X1] :
( greater(zero,growth_rate(efficient_producers,sK0_skl(X1,X0)))
| cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f24,plain,
! [E,T] :
( number_of_organizations(E,T) = zero
| ~ greater(appear(an_organisation,E),T)
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f25,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)],[f24]) ).
fof(f26,plain,
! [E,T] :
( ? [X] :
( ~ greater(zero,growth_rate(X,T))
& greater(cardinality_at_time(X,T),zero)
& subpopulation(X,E,T) )
| decreases(number_of_organizations(E,T))
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f27,plain,
! [E,T] :
( ( ~ greater(zero,growth_rate(sK1_skl(T,E),T))
& greater(cardinality_at_time(sK1_skl(T,E),T),zero)
& subpopulation(sK1_skl(T,E),E,T) )
| decreases(number_of_organizations(E,T))
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X,sK1_skl(T,E))],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( subpopulation(sK1_skl(X1,X0),X0,X1)
| decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( greater(cardinality_at_time(sK1_skl(X1,X0),X1),zero)
| decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f30,plain,
! [X0,X1] :
( ~ greater(zero,growth_rate(sK1_skl(X1,X0),X1))
| decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f31,plain,
! [E,T,X] :
( cardinality_at_time(X,T) = zero
| ~ subpopulation(X,E,T)
| number_of_organizations(E,T) != zero
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
! [T,X] :
( cardinality_at_time(X,T) = zero
| ! [E] :
( ~ subpopulation(X,E,T)
| number_of_organizations(E,T) != zero
| ~ in_environment(E,T)
| ~ environment(E) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f33,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)],[f32]) ).
fof(f34,plain,
! [E,T] :
( ( subpopulation(efficient_producers,E,T)
& subpopulation(first_movers,E,T) )
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f35,plain,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f37,plain,
! [S,T] :
( ~ greater(zero,growth_rate(S,T))
| cardinality_at_time(S,T) != zero ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f38,plain,
! [X0,X1] :
( ~ greater(zero,growth_rate(X0,X1))
| cardinality_at_time(X0,X1) != zero ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f39,plain,
! [E,T] :
( greater(cardinality_at_time(efficient_producers,T),zero)
| cardinality_at_time(efficient_producers,T) = zero
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f40,plain,
! [T] :
( greater(cardinality_at_time(efficient_producers,T),zero)
| cardinality_at_time(efficient_producers,T) = zero
| ! [E] :
( ~ in_environment(E,T)
| ~ environment(E) ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f41,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)],[f40]) ).
fof(f42,plain,
! [X] :
( ~ decreases(X)
| ~ constant(X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f43,plain,
! [X0] :
( ~ decreases(X0)
| ~ constant(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [E,T] :
( greater(appear(an_organisation,E),T)
| ~ greater_or_equal(T,appear(an_organisation,E))
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f45,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)],[f44]) ).
fof(f46,plain,
! [E,T] :
( greater(number_of_organizations(E,T),zero)
| ~ greater_or_equal(T,appear(an_organisation,E))
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f47,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)],[f46]) ).
fof(f48,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f49,plain,
! [E,T] :
( ( ( constant(resources(E,T))
| greater(equilibrium(E),T) )
& ( decreases(resources(E,T))
| ~ greater(equilibrium(E),T) ) )
| ~ greater(number_of_organizations(E,T),zero)
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f50,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)],[f49]) ).
fof(f51,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)],[f49]) ).
fof(f52,plain,
! [E,T] :
( ( ( constant(number_of_organizations(E,T))
| ~ constant(resources(E,T)) )
& ( ~ decreases(number_of_organizations(E,T))
| ~ decreases(resources(E,T)) ) )
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f53,plain,
! [X0,X1] :
( ~ decreases(number_of_organizations(X0,X1))
| ~ decreases(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( constant(number_of_organizations(X0,X1))
| ~ constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f55,plain,
! [E,X,T] :
( X = first_movers
| X = efficient_producers
| ~ greater(cardinality_at_time(X,T),zero)
| ~ subpopulation(X,E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f56,plain,
! [X] :
( X = first_movers
| X = efficient_producers
| ! [T] :
( ~ greater(cardinality_at_time(X,T),zero)
| ! [E] :
( ~ subpopulation(X,E,T)
| ~ environment(E) ) ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f57,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)],[f56]) ).
fof(f58,plain,
! [E,S1,S2,T] :
( ~ greater(zero,growth_rate(S2,T))
| ~ greater(resilience(S2),resilience(S1))
| greater(zero,growth_rate(S1,T))
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f59,plain,
! [S2,T] :
( ~ greater(zero,growth_rate(S2,T))
| ! [S1] :
( ~ greater(resilience(S2),resilience(S1))
| greater(zero,growth_rate(S1,T))
| ! [E] :
( ~ in_environment(E,T)
| ~ environment(E) ) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f60,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)],[f59]) ).
fof(f61,plain,
? [E,T] :
( ~ greater(cardinality_at_time(efficient_producers,T),zero)
& greater_or_equal(T,appear(efficient_producers,E))
& in_environment(E,T)
& environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f62,plain,
? [T] :
( ~ greater(cardinality_at_time(efficient_producers,T),zero)
& ? [E] :
( greater_or_equal(T,appear(efficient_producers,E))
& in_environment(E,T)
& environment(E) ) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f63,plain,
( ~ greater(cardinality_at_time(efficient_producers,sK2_skl),zero)
& greater_or_equal(sK2_skl,appear(efficient_producers,sK3_skl))
& in_environment(sK3_skl,sK2_skl)
& environment(sK3_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(T,sK2_skl),skolemize(E,sK3_skl)],[f62]) ).
fof(f64,plain,
environment(sK3_skl),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
in_environment(sK3_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f66,plain,
greater_or_equal(sK2_skl,appear(efficient_producers,sK3_skl)),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f67,plain,
~ greater(cardinality_at_time(efficient_producers,sK2_skl),zero),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f68,plain,
( greater(cardinality_at_time(efficient_producers,sK2_skl),zero)
| cardinality_at_time(efficient_producers,sK2_skl) = zero
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f41,f65]) ).
fof(f69,plain,
( greater(cardinality_at_time(efficient_producers,sK2_skl),zero)
| cardinality_at_time(efficient_producers,sK2_skl) = zero ),
inference(forward_subsumption_resolution,[status(thm)],[f68,f64]) ).
fof(f70,plain,
~ greater(zero,zero),
inference(backward_demodulation,[status(thm)],[f71,f67]) ).
fof(f71,plain,
cardinality_at_time(efficient_producers,sK2_skl) = zero,
inference(forward_subsumption_resolution,[status(thm)],[f69,f67]) ).
fof(f72,plain,
( greater(sK0_skl(sK2_skl,sK3_skl),appear(efficient_producers,sK3_skl))
| cardinality_at_time(efficient_producers,sK2_skl) != zero
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f20,f66]) ).
fof(f73,plain,
( greater(sK0_skl(sK2_skl,sK3_skl),appear(efficient_producers,sK3_skl))
| zero != zero
| ~ environment(sK3_skl) ),
inference(forward_demodulation,[status(thm)],[f71,f72]) ).
fof(f74,plain,
( greater(sK0_skl(sK2_skl,sK3_skl),appear(efficient_producers,sK3_skl))
| ~ environment(sK3_skl) ),
inference(trivial_equality_resolution,[status(thm)],[f73]) ).
fof(f75,plain,
greater(sK0_skl(sK2_skl,sK3_skl),appear(efficient_producers,sK3_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f74,f64]) ).
fof(f76,plain,
( subpopulation(first_movers,sK3_skl,sK2_skl)
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f35,f65]) ).
fof(f77,plain,
subpopulation(first_movers,sK3_skl,sK2_skl),
inference(forward_subsumption_resolution,[status(thm)],[f76,f64]) ).
fof(f78,plain,
( in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl))
| cardinality_at_time(efficient_producers,sK2_skl) != zero
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f21,f66]) ).
fof(f79,plain,
( in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl))
| zero != zero
| ~ environment(sK3_skl) ),
inference(forward_demodulation,[status(thm)],[f71,f78]) ).
fof(f80,plain,
( in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl))
| ~ environment(sK3_skl) ),
inference(trivial_equality_resolution,[status(thm)],[f79]) ).
fof(f81,plain,
in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f80,f64]) ).
fof(f82,plain,
( greater(sK2_skl,sK0_skl(sK2_skl,sK3_skl))
| cardinality_at_time(efficient_producers,sK2_skl) != zero
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f22,f66]) ).
fof(f83,plain,
( greater(sK2_skl,sK0_skl(sK2_skl,sK3_skl))
| zero != zero
| ~ environment(sK3_skl) ),
inference(forward_demodulation,[status(thm)],[f71,f82]) ).
fof(f84,plain,
( greater(sK2_skl,sK0_skl(sK2_skl,sK3_skl))
| ~ environment(sK3_skl) ),
inference(trivial_equality_resolution,[status(thm)],[f83]) ).
fof(f85,plain,
greater(sK2_skl,sK0_skl(sK2_skl,sK3_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f84,f64]) ).
fof(f86,plain,
( greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl,sK3_skl)))
| cardinality_at_time(efficient_producers,sK2_skl) != zero
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f23,f66]) ).
fof(f87,plain,
( greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl,sK3_skl)))
| zero != zero
| ~ environment(sK3_skl) ),
inference(forward_demodulation,[status(thm)],[f71,f86]) ).
fof(f88,plain,
( greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl,sK3_skl)))
| ~ environment(sK3_skl) ),
inference(trivial_equality_resolution,[status(thm)],[f87]) ).
fof(f89,plain,
greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl,sK3_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f88,f64]) ).
fof(f90,plain,
( subpopulation(sK1_skl(sK2_skl,sK3_skl),sK3_skl,sK2_skl)
| decreases(number_of_organizations(sK3_skl,sK2_skl))
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f28,f65]) ).
fof(f91,plain,
( subpopulation(sK1_skl(sK2_skl,sK3_skl),sK3_skl,sK2_skl)
| decreases(number_of_organizations(sK3_skl,sK2_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f90,f64]) ).
fof(f92,plain,
( greater(cardinality_at_time(sK1_skl(sK2_skl,sK3_skl),sK2_skl),zero)
| decreases(number_of_organizations(sK3_skl,sK2_skl))
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f29,f65]) ).
fof(f93,plain,
( greater(cardinality_at_time(sK1_skl(sK2_skl,sK3_skl),sK2_skl),zero)
| decreases(number_of_organizations(sK3_skl,sK2_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f92,f64]) ).
fof(f94,plain,
( greater(cardinality_at_time(sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl),sK0_skl(sK2_skl,sK3_skl)),zero)
| decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f81,f29]) ).
fof(f95,plain,
( subpopulation(sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl),sK3_skl,sK0_skl(sK2_skl,sK3_skl))
| decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f81,f28]) ).
fof(f96,plain,
( subpopulation(first_movers,sK3_skl,sK0_skl(sK2_skl,sK3_skl))
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f81,f35]) ).
fof(f97,plain,
( greater(cardinality_at_time(efficient_producers,sK0_skl(sK2_skl,sK3_skl)),zero)
| cardinality_at_time(efficient_producers,sK0_skl(sK2_skl,sK3_skl)) = zero
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f81,f41]) ).
fof(f98,plain,
( greater(cardinality_at_time(sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl),sK0_skl(sK2_skl,sK3_skl)),zero)
| decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f94,f64]) ).
fof(f99,plain,
( subpopulation(sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl),sK3_skl,sK0_skl(sK2_skl,sK3_skl))
| decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f95,f64]) ).
fof(f100,plain,
subpopulation(first_movers,sK3_skl,sK0_skl(sK2_skl,sK3_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f96,f64]) ).
fof(f101,plain,
( greater(cardinality_at_time(efficient_producers,sK0_skl(sK2_skl,sK3_skl)),zero)
| cardinality_at_time(efficient_producers,sK0_skl(sK2_skl,sK3_skl)) = zero ),
inference(forward_subsumption_resolution,[status(thm)],[f97,f64]) ).
fof(f102,plain,
( subpopulation(efficient_producers,sK3_skl,sK0_skl(sK2_skl,sK3_skl))
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f36,f81]) ).
fof(f103,plain,
( subpopulation(efficient_producers,sK3_skl,sK2_skl)
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f36,f65]) ).
fof(f104,plain,
subpopulation(efficient_producers,sK3_skl,sK0_skl(sK2_skl,sK3_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f102,f64]) ).
fof(f105,plain,
subpopulation(efficient_producers,sK3_skl,sK2_skl),
inference(forward_subsumption_resolution,[status(thm)],[f103,f64]) ).
fof(f109,plain,
( decreases(number_of_organizations(sK3_skl,sK2_skl))
| cardinality_at_time(sK1_skl(sK2_skl,sK3_skl),sK2_skl) = zero
| number_of_organizations(sK3_skl,sK2_skl) != zero
| ~ in_environment(sK3_skl,sK2_skl)
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f33,f91]) ).
fof(f110,plain,
( cardinality_at_time(first_movers,sK0_skl(sK2_skl,sK3_skl)) = zero
| number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)) != zero
| ~ in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl))
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f33,f100]) ).
fof(f111,plain,
( cardinality_at_time(first_movers,sK2_skl) = zero
| number_of_organizations(sK3_skl,sK2_skl) != zero
| ~ in_environment(sK3_skl,sK2_skl)
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f33,f77]) ).
fof(f114,plain,
( decreases(number_of_organizations(sK3_skl,sK2_skl))
| cardinality_at_time(sK1_skl(sK2_skl,sK3_skl),sK2_skl) = zero
| number_of_organizations(sK3_skl,sK2_skl) != zero
| ~ in_environment(sK3_skl,sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f109,f64]) ).
fof(f115,plain,
( cardinality_at_time(first_movers,sK0_skl(sK2_skl,sK3_skl)) = zero
| number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)) != zero
| ~ in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f110,f64]) ).
fof(f116,plain,
( cardinality_at_time(first_movers,sK2_skl) = zero
| number_of_organizations(sK3_skl,sK2_skl) != zero
| ~ in_environment(sK3_skl,sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f111,f64]) ).
fof(f117,plain,
cardinality_at_time(efficient_producers,sK0_skl(sK2_skl,sK3_skl)) != zero,
inference(resolution,[status(thm)],[f38,f89]) ).
fof(f118,plain,
greater(cardinality_at_time(efficient_producers,sK0_skl(sK2_skl,sK3_skl)),zero),
inference(forward_subsumption_resolution,[status(thm)],[f101,f117]) ).
fof(f119,plain,
( decreases(number_of_organizations(sK3_skl,sK2_skl))
| cardinality_at_time(sK1_skl(sK2_skl,sK3_skl),sK2_skl) = zero
| number_of_organizations(sK3_skl,sK2_skl) != zero ),
inference(forward_subsumption_resolution,[status(thm)],[f114,f65]) ).
fof(f120,plain,
( cardinality_at_time(first_movers,sK2_skl) = zero
| number_of_organizations(sK3_skl,sK2_skl) != zero ),
inference(forward_subsumption_resolution,[status(thm)],[f116,f65]) ).
fof(f123,plain,
( cardinality_at_time(first_movers,sK0_skl(sK2_skl,sK3_skl)) = zero
| number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)) != zero ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f81]) ).
fof(f125,plain,
! [X0] :
( decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))
| sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl) = first_movers
| sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl) = efficient_producers
| ~ subpopulation(sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl),X0,sK0_skl(sK2_skl,sK3_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f57,f98]) ).
fof(f126,plain,
! [X0] :
( decreases(number_of_organizations(sK3_skl,sK2_skl))
| sK1_skl(sK2_skl,sK3_skl) = first_movers
| sK1_skl(sK2_skl,sK3_skl) = efficient_producers
| ~ subpopulation(sK1_skl(sK2_skl,sK3_skl),X0,sK2_skl)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f57,f93]) ).
fof(f128,plain,
! [X0,X1] :
( ~ greater(resilience(efficient_producers),resilience(X1))
| greater(zero,growth_rate(X1,sK0_skl(sK2_skl,sK3_skl)))
| ~ in_environment(X0,sK0_skl(sK2_skl,sK3_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f60,f89]) ).
fof(f129,plain,
( decreases(number_of_organizations(sK3_skl,sK2_skl))
| decreases(number_of_organizations(sK3_skl,sK2_skl))
| sK1_skl(sK2_skl,sK3_skl) = first_movers
| sK1_skl(sK2_skl,sK3_skl) = efficient_producers
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f126,f91]) ).
fof(f130,plain,
( decreases(number_of_organizations(sK3_skl,sK2_skl))
| sK1_skl(sK2_skl,sK3_skl) = first_movers
| sK1_skl(sK2_skl,sK3_skl) = efficient_producers
| ~ environment(sK3_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f129]) ).
fof(f131,plain,
( decreases(number_of_organizations(sK3_skl,sK2_skl))
| sK1_skl(sK2_skl,sK3_skl) = first_movers
| sK1_skl(sK2_skl,sK3_skl) = efficient_producers ),
inference(forward_subsumption_resolution,[status(thm)],[f130,f64]) ).
fof(f132,plain,
! [X0] :
( ~ greater(resilience(efficient_producers),resilience(X0))
| greater(zero,growth_rate(X0,sK0_skl(sK2_skl,sK3_skl)))
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f128,f81]) ).
fof(f133,plain,
! [X0] :
( ~ greater(resilience(efficient_producers),resilience(X0))
| greater(zero,growth_rate(X0,sK0_skl(sK2_skl,sK3_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f132,f64]) ).
fof(f134,plain,
( decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))
| decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))
| sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl) = first_movers
| sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl) = efficient_producers
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f125,f99]) ).
fof(f135,plain,
( decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))
| sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl) = first_movers
| sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl) = efficient_producers
| ~ environment(sK3_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f134]) ).
fof(f136,plain,
( decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))
| sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl) = first_movers
| sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl) = efficient_producers ),
inference(forward_subsumption_resolution,[status(thm)],[f135,f64]) ).
fof(f137,plain,
greater(zero,growth_rate(first_movers,sK0_skl(sK2_skl,sK3_skl))),
inference(resolution,[status(thm)],[f133,f48]) ).
fof(f138,plain,
! [X0,X1] :
( ~ greater(resilience(first_movers),resilience(X1))
| greater(zero,growth_rate(X1,sK0_skl(sK2_skl,sK3_skl)))
| ~ in_environment(X0,sK0_skl(sK2_skl,sK3_skl))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f137,f60]) ).
fof(f139,plain,
cardinality_at_time(first_movers,sK0_skl(sK2_skl,sK3_skl)) != zero,
inference(resolution,[status(thm)],[f137,f38]) ).
fof(f140,plain,
! [X0] :
( ~ greater(resilience(first_movers),resilience(X0))
| greater(zero,growth_rate(X0,sK0_skl(sK2_skl,sK3_skl)))
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f138,f81]) ).
fof(f141,plain,
! [X0] :
( ~ greater(resilience(first_movers),resilience(X0))
| greater(zero,growth_rate(X0,sK0_skl(sK2_skl,sK3_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f140,f64]) ).
fof(f142,plain,
number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)) != zero,
inference(backward_subsumption_resolution,[status(thm)],[f123,f139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT037+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n020.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 01:24:03 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.49 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.18/0.49 % SZS output start Saturation for theBenchmark
% See solution above
% 0.18/0.55 % Elapsed time: 0.093744 seconds
% 0.18/0.55 % CPU time: 0.106980 seconds
% 0.18/0.55 % Total memory used: 5.184 MB
% 0.18/0.55 % Net memory used: 5.179 MB
%------------------------------------------------------------------------------