%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT033+1 : 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 : n009.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 01:25:44 PM UTC 2026
% Result : CounterSatisfiable 0.14s 0.43s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [E,S1,S2,T] :
( ( cardinality_at_time(S2,T) = zero
& greater(cardinality_at_time(S1,T),zero)
& subpopulation(S2,E,T)
& subpopulation(S1,E,T)
& environment(E) )
=> selection_favors(S1,S2,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [E,X,T] :
( ( greater(appear(X,E),T)
& in_environment(E,T)
& environment(E) )
=> cardinality_at_time(X,T) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [E,T] :
( ( greater(number_of_organizations(E,T),zero)
& environment(E) )
=> ? [X] :
( greater(cardinality_at_time(X,T),zero)
& subpopulation(X,E,T) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,T] :
( cardinality_at_time(X,t) = zero
=> ~ greater(cardinality_at_time(X,T),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [E,T] :
( ( greater(number_of_organizations(E,T),zero)
& environment(E) )
=> in_environment(E,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [E,T1,T2,T] :
( ( greater_or_equal(T,T1)
& greater_or_equal(T2,T)
& in_environment(E,T2)
& in_environment(E,T1)
& environment(E) )
=> in_environment(E,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [E] :
( environment(E)
=> in_environment(E,start_time(E)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [E] :
( environment(E)
=> greater_or_equal(appear(first_movers,E),start_time(E)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,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(f10,axiom,
! [E] :
( ( in_environment(E,appear(first_movers,E))
& environment(E) )
=> in_environment(E,appear(an_organisation,E)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,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(f12,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(f13,hypothesis,
! [E] :
( ( in_environment(E,appear(an_organisation,E))
& environment(E) )
=> appear(an_organisation,E) = appear(first_movers,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [E,T] :
( ( greater(appear(efficient_producers,E),T)
& greater_or_equal(T,appear(first_movers,E))
& in_environment(E,T)
& environment(E) )
=> selection_favors(first_movers,efficient_producers,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [E,T] :
( ( greater(appear(efficient_producers,E),T)
& greater_or_equal(T,appear(first_movers,E))
& in_environment(E,T)
& environment(E) )
=> selection_favors(first_movers,efficient_producers,T) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [E,S1,S2,T] :
( selection_favors(S1,S2,T)
| cardinality_at_time(S2,T) != zero
| ~ greater(cardinality_at_time(S1,T),zero)
| ~ subpopulation(S2,E,T)
| ~ subpopulation(S1,E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f17,plain,
! [S1,S2,T] :
( selection_favors(S1,S2,T)
| cardinality_at_time(S2,T) != zero
| ~ greater(cardinality_at_time(S1,T),zero)
| ! [E] :
( ~ subpopulation(S2,E,T)
| ~ subpopulation(S1,E,T)
| ~ environment(E) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f18,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)],[f17]) ).
fof(f19,plain,
! [E,X,T] :
( cardinality_at_time(X,T) = zero
| ~ greater(appear(X,E),T)
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f20,plain,
! [X,T] :
( cardinality_at_time(X,T) = zero
| ! [E] :
( ~ greater(appear(X,E),T)
| ~ in_environment(E,T)
| ~ environment(E) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( cardinality_at_time(X2,X1) = zero
| ~ greater(appear(X2,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
! [E,T] :
( ? [X] :
( greater(cardinality_at_time(X,T),zero)
& subpopulation(X,E,T) )
| ~ greater(number_of_organizations(E,T),zero)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f23,plain,
! [E,T] :
( ( greater(cardinality_at_time(sK0_skl(T,E),T),zero)
& subpopulation(sK0_skl(T,E),E,T) )
| ~ greater(number_of_organizations(E,T),zero)
| ~ environment(E) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(T,E))],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( subpopulation(sK0_skl(X1,X0),X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( greater(cardinality_at_time(sK0_skl(X1,X0),X1),zero)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f26,plain,
! [X,T] :
( ~ greater(cardinality_at_time(X,T),zero)
| cardinality_at_time(X,t) != zero ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
! [X] :
( ! [T] : ~ greater(cardinality_at_time(X,T),zero)
| cardinality_at_time(X,t) != zero ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ~ greater(cardinality_at_time(X0,X1),zero)
| cardinality_at_time(X0,t) != zero ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
! [E,T] :
( in_environment(E,T)
| ~ greater(number_of_organizations(E,T),zero)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f30,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [E,T1,T2,T] :
( in_environment(E,T)
| ~ greater_or_equal(T,T1)
| ~ greater_or_equal(T2,T)
| ~ in_environment(E,T2)
| ~ in_environment(E,T1)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f32,plain,
! [E,T] :
( in_environment(E,T)
| ! [T1] :
( ~ greater_or_equal(T,T1)
| ! [T2] :
( ~ greater_or_equal(T2,T)
| ~ in_environment(E,T2)
| ~ in_environment(E,T1)
| ~ environment(E) ) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f33,plain,
! [X0,X1,X2,X3] :
( in_environment(X0,X3)
| ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X2,X3)
| ~ in_environment(X0,X2)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
! [E] :
( in_environment(E,start_time(E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f35,plain,
! [X0] :
( in_environment(X0,start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [E] :
( greater_or_equal(appear(first_movers,E),start_time(E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f37,plain,
! [X0] :
( greater_or_equal(appear(first_movers,X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,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)],[f9]) ).
fof(f39,plain,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f41,plain,
! [E] :
( in_environment(E,appear(an_organisation,E))
| ~ in_environment(E,appear(first_movers,E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f42,plain,
! [X0] :
( in_environment(X0,appear(an_organisation,X0))
| ~ in_environment(X0,appear(first_movers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,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)],[f11]) ).
fof(f44,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)],[f43]) ).
fof(f45,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)],[f12]) ).
fof(f46,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)],[f45]) ).
fof(f47,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)],[f46]) ).
fof(f48,plain,
! [E] :
( appear(an_organisation,E) = appear(first_movers,E)
| ~ in_environment(E,appear(an_organisation,E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f49,plain,
! [X0] :
( appear(an_organisation,X0) = appear(first_movers,X0)
| ~ in_environment(X0,appear(an_organisation,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
? [E,T] :
( ~ selection_favors(first_movers,efficient_producers,T)
& greater(appear(efficient_producers,E),T)
& greater_or_equal(T,appear(first_movers,E))
& in_environment(E,T)
& environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f51,plain,
? [T] :
( ~ selection_favors(first_movers,efficient_producers,T)
& ? [E] :
( greater(appear(efficient_producers,E),T)
& greater_or_equal(T,appear(first_movers,E))
& in_environment(E,T)
& environment(E) ) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f52,plain,
( ~ selection_favors(first_movers,efficient_producers,sK1_skl)
& greater(appear(efficient_producers,sK2_skl),sK1_skl)
& greater_or_equal(sK1_skl,appear(first_movers,sK2_skl))
& in_environment(sK2_skl,sK1_skl)
& environment(sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(T,sK1_skl),skolemize(E,sK2_skl)],[f51]) ).
fof(f53,plain,
environment(sK2_skl),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
in_environment(sK2_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f55,plain,
greater_or_equal(sK1_skl,appear(first_movers,sK2_skl)),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f56,plain,
greater(appear(efficient_producers,sK2_skl),sK1_skl),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f57,plain,
~ selection_favors(first_movers,efficient_producers,sK1_skl),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f58,plain,
( subpopulation(efficient_producers,sK2_skl,sK1_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f40,f54]) ).
fof(f59,plain,
subpopulation(efficient_producers,sK2_skl,sK1_skl),
inference(forward_subsumption_resolution,[status(thm)],[f58,f53]) ).
fof(f60,plain,
! [X0,X1] :
( in_environment(sK2_skl,X1)
| ~ greater_or_equal(X1,X0)
| ~ greater_or_equal(sK1_skl,X1)
| ~ in_environment(sK2_skl,X0)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f33,f54]) ).
fof(f61,plain,
! [X0,X1] :
( in_environment(sK2_skl,X1)
| ~ greater_or_equal(X1,X0)
| ~ greater_or_equal(sK1_skl,X1)
| ~ in_environment(sK2_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f60,f53]) ).
fof(f62,plain,
! [X0] :
( in_environment(sK2_skl,X0)
| ~ greater_or_equal(X0,sK1_skl)
| ~ greater_or_equal(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f61,f54]) ).
fof(f64,plain,
in_environment(sK2_skl,start_time(sK2_skl)),
inference(resolution,[status(thm)],[f35,f53]) ).
fof(f65,plain,
! [X0] :
( in_environment(sK2_skl,X0)
| ~ greater_or_equal(X0,start_time(sK2_skl))
| ~ greater_or_equal(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f64,f61]) ).
fof(f66,plain,
! [X0,X1] :
( in_environment(sK2_skl,X1)
| ~ greater_or_equal(X1,X0)
| ~ greater_or_equal(start_time(sK2_skl),X1)
| ~ in_environment(sK2_skl,X0)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f64,f33]) ).
fof(f67,plain,
( subpopulation(efficient_producers,sK2_skl,start_time(sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f64,f40]) ).
fof(f68,plain,
! [X0,X1] :
( in_environment(sK2_skl,X1)
| ~ greater_or_equal(X1,X0)
| ~ greater_or_equal(start_time(sK2_skl),X1)
| ~ in_environment(sK2_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f66,f53]) ).
fof(f69,plain,
subpopulation(efficient_producers,sK2_skl,start_time(sK2_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f67,f53]) ).
fof(f70,plain,
greater_or_equal(appear(first_movers,sK2_skl),start_time(sK2_skl)),
inference(resolution,[status(thm)],[f37,f53]) ).
fof(f71,plain,
( in_environment(sK2_skl,appear(first_movers,sK2_skl))
| ~ greater_or_equal(sK1_skl,appear(first_movers,sK2_skl)) ),
inference(resolution,[status(thm)],[f70,f65]) ).
fof(f72,plain,
in_environment(sK2_skl,appear(first_movers,sK2_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f71,f55]) ).
fof(f79,plain,
( subpopulation(first_movers,sK2_skl,start_time(sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f39,f64]) ).
fof(f80,plain,
( subpopulation(first_movers,sK2_skl,sK1_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f39,f54]) ).
fof(f82,plain,
subpopulation(first_movers,sK2_skl,start_time(sK2_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f79,f53]) ).
fof(f83,plain,
subpopulation(first_movers,sK2_skl,sK1_skl),
inference(forward_subsumption_resolution,[status(thm)],[f80,f53]) ).
fof(f84,plain,
( in_environment(sK2_skl,appear(an_organisation,sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f42,f72]) ).
fof(f85,plain,
in_environment(sK2_skl,appear(an_organisation,sK2_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f84,f53]) ).
fof(f86,plain,
! [X0] :
( in_environment(sK2_skl,X0)
| ~ greater_or_equal(X0,appear(an_organisation,sK2_skl))
| ~ greater_or_equal(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f85,f61]) ).
fof(f87,plain,
( subpopulation(first_movers,sK2_skl,appear(an_organisation,sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f85,f39]) ).
fof(f88,plain,
! [X0,X1] :
( in_environment(sK2_skl,X1)
| ~ greater_or_equal(X1,X0)
| ~ greater_or_equal(appear(an_organisation,sK2_skl),X1)
| ~ in_environment(sK2_skl,X0)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f85,f33]) ).
fof(f89,plain,
( subpopulation(efficient_producers,sK2_skl,appear(an_organisation,sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f85,f40]) ).
fof(f90,plain,
subpopulation(first_movers,sK2_skl,appear(an_organisation,sK2_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f87,f53]) ).
fof(f91,plain,
! [X0,X1] :
( in_environment(sK2_skl,X1)
| ~ greater_or_equal(X1,X0)
| ~ greater_or_equal(appear(an_organisation,sK2_skl),X1)
| ~ in_environment(sK2_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f88,f53]) ).
fof(f92,plain,
subpopulation(efficient_producers,sK2_skl,appear(an_organisation,sK2_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f89,f53]) ).
fof(f93,plain,
( cardinality_at_time(efficient_producers,sK1_skl) = zero
| ~ in_environment(sK2_skl,sK1_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f21,f56]) ).
fof(f94,plain,
( cardinality_at_time(efficient_producers,sK1_skl) = zero
| ~ in_environment(sK2_skl,sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f93,f53]) ).
fof(f95,plain,
cardinality_at_time(efficient_producers,sK1_skl) = zero,
inference(forward_subsumption_resolution,[status(thm)],[f94,f54]) ).
fof(f96,plain,
! [X0,X1] :
( selection_favors(X1,efficient_producers,sK1_skl)
| ~ greater(cardinality_at_time(X1,sK1_skl),zero)
| ~ subpopulation(efficient_producers,X0,sK1_skl)
| ~ subpopulation(X1,X0,sK1_skl)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f95,f18]) ).
fof(f106,plain,
( appear(an_organisation,sK2_skl) = appear(first_movers,sK2_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f49,f85]) ).
fof(f107,plain,
appear(an_organisation,sK2_skl) = appear(first_movers,sK2_skl),
inference(forward_subsumption_resolution,[status(thm)],[f106,f53]) ).
fof(f113,plain,
greater_or_equal(appear(an_organisation,sK2_skl),start_time(sK2_skl)),
inference(backward_demodulation,[status(thm)],[f107,f70]) ).
fof(f114,plain,
greater_or_equal(sK1_skl,appear(an_organisation,sK2_skl)),
inference(backward_demodulation,[status(thm)],[f107,f55]) ).
fof(f116,plain,
! [X0] :
( cardinality_at_time(first_movers,X0) = zero
| ~ greater(appear(an_organisation,sK2_skl),X0)
| ~ in_environment(sK2_skl,X0)
| ~ environment(sK2_skl) ),
inference(paramodulation,[status(thm)],[f107,f21]) ).
fof(f117,plain,
! [X0] :
( cardinality_at_time(first_movers,X0) = zero
| ~ greater(appear(an_organisation,sK2_skl),X0)
| ~ in_environment(sK2_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f116,f53]) ).
fof(f120,plain,
( greater(number_of_organizations(sK2_skl,sK1_skl),zero)
| ~ in_environment(sK2_skl,sK1_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f114,f44]) ).
fof(f121,plain,
( greater(number_of_organizations(sK2_skl,sK1_skl),zero)
| ~ in_environment(sK2_skl,sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f120,f53]) ).
fof(f124,plain,
greater(number_of_organizations(sK2_skl,sK1_skl),zero),
inference(forward_subsumption_resolution,[status(thm)],[f121,f54]) ).
fof(f125,plain,
( greater(cardinality_at_time(sK0_skl(sK1_skl,sK2_skl),sK1_skl),zero)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f124,f25]) ).
fof(f126,plain,
( subpopulation(sK0_skl(sK1_skl,sK2_skl),sK2_skl,sK1_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f124,f24]) ).
fof(f128,plain,
greater(cardinality_at_time(sK0_skl(sK1_skl,sK2_skl),sK1_skl),zero),
inference(forward_subsumption_resolution,[status(thm)],[f125,f53]) ).
fof(f129,plain,
subpopulation(sK0_skl(sK1_skl,sK2_skl),sK2_skl,sK1_skl),
inference(forward_subsumption_resolution,[status(thm)],[f126,f53]) ).
fof(f130,plain,
! [X0] :
( selection_favors(sK0_skl(sK1_skl,sK2_skl),efficient_producers,sK1_skl)
| ~ subpopulation(efficient_producers,X0,sK1_skl)
| ~ subpopulation(sK0_skl(sK1_skl,sK2_skl),X0,sK1_skl)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f128,f96]) ).
fof(f131,plain,
! [X0] :
( sK0_skl(sK1_skl,sK2_skl) = first_movers
| sK0_skl(sK1_skl,sK2_skl) = efficient_producers
| ~ subpopulation(sK0_skl(sK1_skl,sK2_skl),X0,sK1_skl)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f128,f47]) ).
fof(f132,plain,
( selection_favors(sK0_skl(sK1_skl,sK2_skl),efficient_producers,sK1_skl)
| ~ subpopulation(efficient_producers,sK2_skl,sK1_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f130,f129]) ).
fof(f133,plain,
( selection_favors(sK0_skl(sK1_skl,sK2_skl),efficient_producers,sK1_skl)
| ~ subpopulation(efficient_producers,sK2_skl,sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f132,f53]) ).
fof(f134,plain,
( sK0_skl(sK1_skl,sK2_skl) = first_movers
| sK0_skl(sK1_skl,sK2_skl) = efficient_producers
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f131,f129]) ).
fof(f135,plain,
( sK0_skl(sK1_skl,sK2_skl) = first_movers
| sK0_skl(sK1_skl,sK2_skl) = efficient_producers ),
inference(forward_subsumption_resolution,[status(thm)],[f134,f53]) ).
fof(f143,plain,
selection_favors(sK0_skl(sK1_skl,sK2_skl),efficient_producers,sK1_skl),
inference(forward_subsumption_resolution,[status(thm)],[f133,f59]) ).
fof(f144,plain,
( sK0_skl(sK1_skl,sK2_skl) = efficient_producers
| selection_favors(first_movers,efficient_producers,sK1_skl) ),
inference(paramodulation,[status(thm)],[f135,f143]) ).
fof(f145,plain,
sK0_skl(sK1_skl,sK2_skl) = efficient_producers,
inference(forward_subsumption_resolution,[status(thm)],[f144,f57]) ).
fof(f146,plain,
selection_favors(efficient_producers,efficient_producers,sK1_skl),
inference(backward_demodulation,[status(thm)],[f145,f143]) ).
fof(f150,plain,
greater(cardinality_at_time(efficient_producers,sK1_skl),zero),
inference(backward_demodulation,[status(thm)],[f145,f128]) ).
fof(f152,plain,
greater(zero,zero),
inference(forward_demodulation,[status(thm)],[f95,f150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT033+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 01:21:57 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.14/0.43 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.14/0.43 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.47 % Elapsed time: 0.097735 seconds
% 0.14/0.47 % CPU time: 0.187737 seconds
% 0.14/0.47 % Total memory used: 31.209 MB
% 0.14/0.47 % Net memory used: 31.129 MB
%------------------------------------------------------------------------------