%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT037+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 : Tue Sep 29 12:02:09 PM UTC 2026
% Result : Theorem 2.31s 1.16s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 29
% Syntax : Number of formulae : 206 ( 22 unt; 13 def)
% Number of atoms : 727 ( 71 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 947 ( 426 ~; 424 |; 64 &)
% ( 13 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 14 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 200 ( 0 sgn 190 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( environment(X0)
& greater_or_equal(X1,appear(efficient_producers,X0))
& cardinality_at_time(efficient_producers,X1) = zero )
=> ? [X2] :
( greater(X2,appear(efficient_producers,X0))
& in_environment(X0,X2)
& greater(X1,X2)
& greater(zero,growth_rate(efficient_producers,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_previous_negative_growth) ).
fof(f2,axiom,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1)
& greater(appear(an_organisation,X0),X1) )
=> number_of_organizations(X0,X1) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_start_of_organizations) ).
fof(f3,axiom,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1)
& ~ decreases(number_of_organizations(X0,X1)) )
=> ? [X2] :
( subpopulation(X2,X0,X1)
& greater(cardinality_at_time(X2,X1),zero)
& ~ greater(zero,growth_rate(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_decreasing) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( environment(X0)
& in_environment(X0,X1)
& number_of_organizations(X0,X1) = zero
& subpopulation(X2,X0,X1) )
=> cardinality_at_time(X2,X1) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_no_members) ).
fof(f5,axiom,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1) )
=> ( subpopulation(first_movers,X0,X1)
& subpopulation(efficient_producers,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations) ).
fof(f6,axiom,
! [X0,X1] :
( cardinality_at_time(X0,X1) = zero
=> ~ greater(zero,growth_rate(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_empty_not_decreasing) ).
fof(f7,axiom,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1) )
=> ( cardinality_at_time(efficient_producers,X1) = zero
| greater(cardinality_at_time(efficient_producers,X1),zero) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_efficient_producers_exist) ).
fof(f8,axiom,
! [X0] :
( constant(X0)
=> ~ decreases(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_constant_not_decrease) ).
fof(f9,axiom,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1) )
=> ( greater_or_equal(X1,appear(an_organisation,X0))
| greater(appear(an_organisation,X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_inequality) ).
fof(f10,axiom,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1)
& greater(number_of_organizations(X0,X1),zero) )
=> ( ( greater(equilibrium(X0),X1)
=> decreases(resources(X0,X1)) )
& ( ~ greater(equilibrium(X0),X1)
=> constant(resources(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f11,axiom,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1)
& greater_or_equal(X1,appear(an_organisation,X0)) )
=> greater(number_of_organizations(X0,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
fof(f12,axiom,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1) )
=> ( ( decreases(resources(X0,X1))
=> ~ decreases(number_of_organizations(X0,X1)) )
& ( constant(resources(X0,X1))
=> constant(number_of_organizations(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6) ).
fof(f13,axiom,
! [X0,X1,X2,X3] :
( ( environment(X0)
& in_environment(X0,X3)
& ~ greater(zero,growth_rate(X1,X3))
& greater(resilience(X2),resilience(X1)) )
=> ~ greater(zero,growth_rate(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12) ).
fof(f14,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( environment(X0)
& subpopulation(X1,X0,X2)
& greater(cardinality_at_time(X1,X2),zero) )
=> ( X1 = efficient_producers
| X1 = first_movers ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a9) ).
fof(f16,conjecture,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1)
& greater_or_equal(X1,appear(efficient_producers,X0)) )
=> greater(cardinality_at_time(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6) ).
fof(f17,negated_conjecture,
~ ! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1)
& greater_or_equal(X1,appear(efficient_producers,X0)) )
=> greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ? [X2] :
( greater(X2,appear(efficient_producers,X0))
& in_environment(X0,X2)
& greater(X1,X2)
& greater(zero,growth_rate(efficient_producers,X2)) )
| ~ environment(X0)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| cardinality_at_time(efficient_producers,X1) != zero ),
inference(ennf_transformation,[],[f1]) ).
fof(f19,plain,
! [X0,X1] :
( ? [X2] :
( greater(X2,appear(efficient_producers,X0))
& in_environment(X0,X2)
& greater(X1,X2)
& greater(zero,growth_rate(efficient_producers,X2)) )
| ~ environment(X0)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| cardinality_at_time(efficient_producers,X1) != zero ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( number_of_organizations(X0,X1) = zero
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(appear(an_organisation,X0),X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] :
( number_of_organizations(X0,X1) = zero
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(appear(an_organisation,X0),X1) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( ? [X2] :
( subpopulation(X2,X0,X1)
& greater(cardinality_at_time(X2,X1),zero)
& ~ greater(zero,growth_rate(X2,X1)) )
| ~ environment(X0)
| ~ in_environment(X0,X1)
| decreases(number_of_organizations(X0,X1)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f23,plain,
! [X0,X1] :
( ? [X2] :
( subpopulation(X2,X0,X1)
& greater(cardinality_at_time(X2,X1),zero)
& ~ greater(zero,growth_rate(X2,X1)) )
| ~ environment(X0)
| ~ in_environment(X0,X1)
| decreases(number_of_organizations(X0,X1)) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X0,X1,X2] :
( cardinality_at_time(X2,X1) = zero
| ~ environment(X0)
| ~ in_environment(X0,X1)
| zero != number_of_organizations(X0,X1)
| ~ subpopulation(X2,X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f25,plain,
! [X0,X1,X2] :
( cardinality_at_time(X2,X1) = zero
| ~ environment(X0)
| ~ in_environment(X0,X1)
| zero != number_of_organizations(X0,X1)
| ~ subpopulation(X2,X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( subpopulation(first_movers,X0,X1)
& subpopulation(efficient_producers,X0,X1) )
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f27,plain,
! [X0,X1] :
( ( subpopulation(first_movers,X0,X1)
& subpopulation(efficient_producers,X0,X1) )
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ~ greater(zero,growth_rate(X0,X1))
| zero != cardinality_at_time(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f29,plain,
! [X0,X1] :
( cardinality_at_time(efficient_producers,X1) = zero
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f30,plain,
! [X0,X1] :
( cardinality_at_time(efficient_producers,X1) = zero
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0] :
( ~ decreases(X0)
| ~ constant(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f32,plain,
! [X0,X1] :
( greater_or_equal(X1,appear(an_organisation,X0))
| greater(appear(an_organisation,X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f33,plain,
! [X0,X1] :
( greater_or_equal(X1,appear(an_organisation,X0))
| greater(appear(an_organisation,X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ( ( decreases(resources(X0,X1))
| ~ greater(equilibrium(X0),X1) )
& ( constant(resources(X0,X1))
| greater(equilibrium(X0),X1) ) )
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero) ),
inference(ennf_transformation,[],[f10]) ).
fof(f35,plain,
! [X0,X1] :
( ( ( decreases(resources(X0,X1))
| ~ greater(equilibrium(X0),X1) )
& ( constant(resources(X0,X1))
| greater(equilibrium(X0),X1) ) )
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(X1,appear(an_organisation,X0)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f37,plain,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(X1,appear(an_organisation,X0)) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ( ( ~ decreases(number_of_organizations(X0,X1))
| ~ decreases(resources(X0,X1)) )
& ( constant(number_of_organizations(X0,X1))
| ~ constant(resources(X0,X1)) ) )
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f39,plain,
! [X0,X1] :
( ( ( ~ decreases(number_of_organizations(X0,X1))
| ~ decreases(resources(X0,X1)) )
& ( constant(number_of_organizations(X0,X1))
| ~ constant(resources(X0,X1)) ) )
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( ~ greater(zero,growth_rate(X2,X3))
| ~ environment(X0)
| ~ in_environment(X0,X3)
| greater(zero,growth_rate(X1,X3))
| ~ greater(resilience(X2),resilience(X1)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ greater(zero,growth_rate(X2,X3))
| ~ environment(X0)
| ~ in_environment(X0,X3)
| greater(zero,growth_rate(X1,X3))
| ~ greater(resilience(X2),resilience(X1)) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1,X2] :
( X1 = efficient_producers
| X1 = first_movers
| ~ environment(X0)
| ~ subpopulation(X1,X0,X2)
| ~ greater(cardinality_at_time(X1,X2),zero) ),
inference(ennf_transformation,[],[f15]) ).
fof(f43,plain,
! [X0,X1,X2] :
( X1 = efficient_producers
| X1 = first_movers
| ~ environment(X0)
| ~ subpopulation(X1,X0,X2)
| ~ greater(cardinality_at_time(X1,X2),zero) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
? [X0,X1] :
( ~ greater(cardinality_at_time(efficient_producers,X1),zero)
& environment(X0)
& in_environment(X0,X1)
& greater_or_equal(X1,appear(efficient_producers,X0)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f45,plain,
? [X0,X1] :
( ~ greater(cardinality_at_time(efficient_producers,X1),zero)
& environment(X0)
& in_environment(X0,X1)
& greater_or_equal(X1,appear(efficient_producers,X0)) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ( greater(sK0(X0,X1),appear(efficient_producers,X0))
& in_environment(X0,sK0(X0,X1))
& greater(X1,sK0(X0,X1))
& greater(zero,growth_rate(efficient_producers,sK0(X0,X1))) )
| ~ environment(X0)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| cardinality_at_time(efficient_producers,X1) != zero ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f19]) ).
fof(f47,plain,
! [X0,X1] :
( ( subpopulation(sK1(X0,X1),X0,X1)
& greater(cardinality_at_time(sK1(X0,X1),X1),zero)
& ~ greater(zero,growth_rate(sK1(X0,X1),X1)) )
| ~ environment(X0)
| ~ in_environment(X0,X1)
| decreases(number_of_organizations(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f23]) ).
fof(f48,plain,
( ~ greater(cardinality_at_time(efficient_producers,sK3),zero)
& environment(sK2)
& in_environment(sK2,sK3)
& greater_or_equal(sK3,appear(efficient_producers,sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f45]) ).
fof(f49,plain,
! [X0,X1] :
( cardinality_at_time(efficient_producers,X1) != zero
| ~ environment(X0)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| greater(zero,growth_rate(efficient_producers,sK0(X0,X1))) ),
inference(cnf_transformation,[],[f46]) ).
fof(f51,plain,
! [X0,X1] :
( in_environment(X0,sK0(X0,X1))
| ~ environment(X0)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| cardinality_at_time(efficient_producers,X1) != zero ),
inference(cnf_transformation,[],[f46]) ).
fof(f53,plain,
! [X0,X1] :
( ~ greater(appear(an_organisation,X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| zero = number_of_organizations(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f54,plain,
! [X0,X1] :
( decreases(number_of_organizations(X0,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(zero,growth_rate(sK1(X0,X1),X1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f55,plain,
! [X0,X1] :
( decreases(number_of_organizations(X0,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| greater(cardinality_at_time(sK1(X0,X1),X1),zero) ),
inference(cnf_transformation,[],[f47]) ).
fof(f56,plain,
! [X0,X1] :
( decreases(number_of_organizations(X0,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| subpopulation(sK1(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f57,plain,
! [X2,X0,X1] :
( zero != number_of_organizations(X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| zero = cardinality_at_time(X2,X1)
| ~ subpopulation(X2,X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f59,plain,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f60,plain,
! [X0,X1] :
( ~ greater(zero,growth_rate(X0,X1))
| zero != cardinality_at_time(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f61,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| cardinality_at_time(efficient_producers,X1) = zero
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f62,plain,
! [X0] :
( ~ constant(X0)
| ~ decreases(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f63,plain,
! [X0,X1] :
( greater_or_equal(X1,appear(an_organisation,X0))
| greater(appear(an_organisation,X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f64,plain,
! [X0,X1] :
( greater(equilibrium(X0),X1)
| constant(resources(X0,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero) ),
inference(cnf_transformation,[],[f35]) ).
fof(f65,plain,
! [X0,X1] :
( decreases(resources(X0,X1))
| ~ greater(equilibrium(X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero) ),
inference(cnf_transformation,[],[f35]) ).
fof(f66,plain,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(X1,appear(an_organisation,X0)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f67,plain,
! [X0,X1] :
( ~ constant(resources(X0,X1))
| constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f68,plain,
! [X0,X1] :
( ~ decreases(resources(X0,X1))
| ~ decreases(number_of_organizations(X0,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f69,plain,
! [X2,X3,X0,X1] :
( greater(zero,growth_rate(X1,X3))
| ~ environment(X0)
| ~ in_environment(X0,X3)
| ~ greater(zero,growth_rate(X2,X3))
| ~ greater(resilience(X2),resilience(X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f70,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(cnf_transformation,[],[f14]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ environment(X0)
| first_movers = X1
| efficient_producers = X1
| ~ subpopulation(X1,X0,X2)
| ~ greater(cardinality_at_time(X1,X2),zero) ),
inference(cnf_transformation,[],[f43]) ).
fof(f72,plain,
greater_or_equal(sK3,appear(efficient_producers,sK2)),
inference(cnf_transformation,[],[f48]) ).
fof(f73,plain,
in_environment(sK2,sK3),
inference(cnf_transformation,[],[f48]) ).
fof(f74,plain,
environment(sK2),
inference(cnf_transformation,[],[f48]) ).
fof(f75,plain,
~ greater(cardinality_at_time(efficient_producers,sK3),zero),
inference(cnf_transformation,[],[f48]) ).
fof(f76,plain,
! [X0] :
( zero = cardinality_at_time(efficient_producers,sK3)
| ~ environment(X0)
| ~ in_environment(X0,sK3) ),
inference(resolution,[],[f61,f75]) ).
fof(f78,definition,
( spl4_1
<=> ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f79,plain,
( ! [X0] :
( ~ in_environment(X0,sK3)
| ~ environment(X0) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,definition,
( spl4_2
<=> zero = cardinality_at_time(efficient_producers,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f83,plain,
( zero = cardinality_at_time(efficient_producers,sK3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f76,f81,f78]) ).
fof(f86,plain,
! [X0,X1] :
( ~ greater(cardinality_at_time(X0,X1),zero)
| efficient_producers = X0
| ~ subpopulation(X0,sK2,X1)
| first_movers = X0 ),
inference(resolution,[],[f71,f74]) ).
fof(f90,plain,
! [X0,X1] :
( ~ greater(equilibrium(X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ decreases(number_of_organizations(X0,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(resolution,[],[f65,f68]) ).
fof(f91,plain,
! [X0,X1] :
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(equilibrium(X0),X1)
| ~ decreases(number_of_organizations(X0,X1)) ),
inference(duplicate_literal_removal,[],[f90]) ).
fof(f95,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(equilibrium(X0),X1)
| ~ decreases(number_of_organizations(X0,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(X1,appear(an_organisation,X0)) ),
inference(resolution,[],[f91,f66]) ).
fof(f96,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(equilibrium(X0),X1)
| ~ decreases(number_of_organizations(X0,X1))
| ~ greater_or_equal(X1,appear(an_organisation,X0)) ),
inference(duplicate_literal_removal,[],[f95]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( ~ greater(resilience(X2),resilience(X3))
| ~ in_environment(X0,X1)
| ~ greater(zero,growth_rate(X2,X1))
| ~ environment(X0)
| zero != cardinality_at_time(X3,X1) ),
inference(resolution,[],[f69,f60]) ).
fof(f98,plain,
! [X0] :
( ~ greater(equilibrium(sK2),X0)
| ~ in_environment(sK2,X0)
| ~ decreases(number_of_organizations(sK2,X0))
| ~ greater_or_equal(X0,appear(an_organisation,sK2)) ),
inference(resolution,[],[f96,f74]) ).
fof(f99,plain,
! [X0,X1] :
( zero != cardinality_at_time(first_movers,X1)
| ~ greater(zero,growth_rate(efficient_producers,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(resolution,[],[f97,f70]) ).
fof(f100,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| ~ decreases(number_of_organizations(sK2,X0))
| ~ greater_or_equal(X0,appear(an_organisation,sK2))
| constant(resources(sK2,X0))
| ~ environment(sK2)
| ~ in_environment(sK2,X0)
| ~ greater(number_of_organizations(sK2,X0),zero) ),
inference(resolution,[],[f98,f64]) ).
fof(f101,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| ~ decreases(number_of_organizations(sK2,X0))
| ~ greater_or_equal(X0,appear(an_organisation,sK2))
| constant(resources(sK2,X0))
| ~ environment(sK2)
| ~ greater(number_of_organizations(sK2,X0),zero) ),
inference(duplicate_literal_removal,[],[f100]) ).
fof(f102,plain,
! [X0] :
( ~ greater(number_of_organizations(sK2,X0),zero)
| ~ decreases(number_of_organizations(sK2,X0))
| ~ greater_or_equal(X0,appear(an_organisation,sK2))
| constant(resources(sK2,X0))
| ~ in_environment(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f101,f74]) ).
fof(f103,plain,
! [X0] :
( ~ decreases(number_of_organizations(sK2,X0))
| ~ greater_or_equal(X0,appear(an_organisation,sK2))
| constant(resources(sK2,X0))
| ~ in_environment(sK2,X0)
| ~ environment(sK2)
| ~ in_environment(sK2,X0)
| ~ greater_or_equal(X0,appear(an_organisation,sK2)) ),
inference(resolution,[],[f102,f66]) ).
fof(f104,plain,
! [X0] :
( ~ decreases(number_of_organizations(sK2,X0))
| ~ greater_or_equal(X0,appear(an_organisation,sK2))
| constant(resources(sK2,X0))
| ~ in_environment(sK2,X0)
| ~ environment(sK2) ),
inference(duplicate_literal_removal,[],[f103]) ).
fof(f105,plain,
! [X0] :
( ~ greater_or_equal(X0,appear(an_organisation,sK2))
| ~ decreases(number_of_organizations(sK2,X0))
| constant(resources(sK2,X0))
| ~ in_environment(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f104,f74]) ).
fof(f106,plain,
! [X0] :
( ~ decreases(number_of_organizations(sK2,X0))
| constant(resources(sK2,X0))
| ~ in_environment(sK2,X0)
| greater(appear(an_organisation,sK2),X0)
| ~ environment(sK2)
| ~ in_environment(sK2,X0) ),
inference(resolution,[],[f105,f63]) ).
fof(f107,plain,
! [X0] :
( ~ decreases(number_of_organizations(sK2,X0))
| constant(resources(sK2,X0))
| ~ in_environment(sK2,X0)
| greater(appear(an_organisation,sK2),X0)
| ~ environment(sK2) ),
inference(duplicate_literal_removal,[],[f106]) ).
fof(f108,plain,
! [X0] :
( greater(appear(an_organisation,sK2),X0)
| constant(resources(sK2,X0))
| ~ in_environment(sK2,X0)
| ~ decreases(number_of_organizations(sK2,X0)) ),
inference(forward_subsumption_resolution,[],[f107,f74]) ).
fof(f109,plain,
! [X0] :
( constant(resources(sK2,X0))
| ~ in_environment(sK2,X0)
| ~ decreases(number_of_organizations(sK2,X0))
| ~ environment(sK2)
| ~ in_environment(sK2,X0)
| zero = number_of_organizations(sK2,X0) ),
inference(resolution,[],[f108,f53]) ).
fof(f110,plain,
! [X0] :
( constant(resources(sK2,X0))
| ~ in_environment(sK2,X0)
| ~ decreases(number_of_organizations(sK2,X0))
| ~ environment(sK2)
| zero = number_of_organizations(sK2,X0) ),
inference(duplicate_literal_removal,[],[f109]) ).
fof(f111,plain,
! [X0] :
( constant(resources(sK2,X0))
| ~ in_environment(sK2,X0)
| ~ decreases(number_of_organizations(sK2,X0))
| zero = number_of_organizations(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f110,f74]) ).
fof(f112,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| ~ decreases(number_of_organizations(sK2,X0))
| zero = number_of_organizations(sK2,X0)
| constant(number_of_organizations(sK2,X0))
| ~ environment(sK2)
| ~ in_environment(sK2,X0) ),
inference(resolution,[],[f111,f67]) ).
fof(f114,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| ~ decreases(number_of_organizations(sK2,X0))
| zero = number_of_organizations(sK2,X0)
| constant(number_of_organizations(sK2,X0))
| ~ environment(sK2) ),
inference(duplicate_literal_removal,[],[f112]) ).
fof(f115,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| ~ decreases(number_of_organizations(sK2,X0))
| zero = number_of_organizations(sK2,X0)
| ~ environment(sK2) ),
inference(forward_subsumption_resolution,[],[f114,f62]) ).
fof(f116,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| ~ decreases(number_of_organizations(sK2,X0))
| zero = number_of_organizations(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f115,f74]) ).
fof(f142,definition,
( spl4_5
<=> decreases(number_of_organizations(sK2,sK0(sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f144,plain,
( ~ decreases(number_of_organizations(sK2,sK0(sK2,sK3)))
| spl4_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f146,definition,
( spl4_6
<=> zero = number_of_organizations(sK2,sK0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f148,plain,
( zero = number_of_organizations(sK2,sK0(sK2,sK3))
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f157,definition,
( spl4_7
<=> subpopulation(sK1(sK2,sK0(sK2,sK3)),sK2,sK0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f159,plain,
( subpopulation(sK1(sK2,sK0(sK2,sK3)),sK2,sK0(sK2,sK3))
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f161,definition,
( spl4_8
<=> in_environment(sK2,sK0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f162,plain,
( in_environment(sK2,sK0(sK2,sK3))
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f163,plain,
( ~ in_environment(sK2,sK0(sK2,sK3))
| spl4_8 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f166,definition,
( spl4_9
<=> greater(zero,growth_rate(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f168,plain,
( ~ greater(zero,growth_rate(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)))
| spl4_9 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f171,definition,
( spl4_10
<=> greater(cardinality_at_time(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)),zero) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f173,plain,
( greater(cardinality_at_time(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)),zero)
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f175,plain,
( ~ environment(sK2)
| ~ greater_or_equal(sK3,appear(efficient_producers,sK2))
| zero != cardinality_at_time(efficient_producers,sK3)
| spl4_8 ),
inference(resolution,[],[f163,f51]) ).
fof(f176,plain,
( ~ greater_or_equal(sK3,appear(efficient_producers,sK2))
| zero != cardinality_at_time(efficient_producers,sK3)
| spl4_8 ),
inference(forward_subsumption_resolution,[],[f175,f74]) ).
fof(f177,plain,
( zero != cardinality_at_time(efficient_producers,sK3)
| spl4_8 ),
inference(forward_subsumption_resolution,[],[f176,f72]) ).
fof(f180,plain,
( ~ spl4_2
| spl4_8 ),
inference(avatar_split_clause,[],[f177,f161,f81]) ).
fof(f181,plain,
( ~ environment(sK2)
| ~ spl4_1 ),
inference(resolution,[],[f79,f73]) ).
fof(f182,plain,
( $false
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f181,f74]) ).
fof(f183,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f186,plain,
( ! [X0] :
( zero != zero
| ~ environment(X0)
| ~ greater_or_equal(sK3,appear(efficient_producers,X0))
| greater(zero,growth_rate(efficient_producers,sK0(X0,sK3))) )
| ~ spl4_2 ),
inference(superposition,[],[f49,f83]) ).
fof(f189,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sK0(X0,sK3)))
| ~ greater_or_equal(sK3,appear(efficient_producers,X0))
| ~ environment(X0) )
| ~ spl4_2 ),
inference(trivial_inequality_removal,[],[f186]) ).
fof(f193,plain,
( ~ decreases(number_of_organizations(sK2,sK0(sK2,sK3)))
| zero = number_of_organizations(sK2,sK0(sK2,sK3))
| ~ spl4_8 ),
inference(resolution,[],[f162,f116]) ).
fof(f194,plain,
( spl4_6
| ~ spl4_5
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f193,f161,f142,f146]) ).
fof(f274,plain,
( ! [X0] :
( zero != zero
| ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| zero = cardinality_at_time(X0,sK0(sK2,sK3))
| ~ subpopulation(X0,sK2,sK0(sK2,sK3)) )
| ~ spl4_6 ),
inference(superposition,[],[f57,f148]) ).
fof(f279,plain,
( ! [X0] :
( ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| zero = cardinality_at_time(X0,sK0(sK2,sK3))
| ~ subpopulation(X0,sK2,sK0(sK2,sK3)) )
| ~ spl4_6 ),
inference(trivial_inequality_removal,[],[f274]) ).
fof(f281,plain,
( ! [X0] :
( ~ in_environment(sK2,sK0(sK2,sK3))
| zero = cardinality_at_time(X0,sK0(sK2,sK3))
| ~ subpopulation(X0,sK2,sK0(sK2,sK3)) )
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f279,f74]) ).
fof(f283,plain,
( ! [X0] :
( ~ subpopulation(X0,sK2,sK0(sK2,sK3))
| zero = cardinality_at_time(X0,sK0(sK2,sK3)) )
| ~ spl4_6
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f281,f162]) ).
fof(f354,plain,
( zero = cardinality_at_time(first_movers,sK0(sK2,sK3))
| ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| ~ spl4_6
| ~ spl4_8 ),
inference(resolution,[],[f283,f59]) ).
fof(f355,plain,
( zero = cardinality_at_time(first_movers,sK0(sK2,sK3))
| ~ in_environment(sK2,sK0(sK2,sK3))
| ~ spl4_6
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f354,f74]) ).
fof(f357,plain,
( zero = cardinality_at_time(first_movers,sK0(sK2,sK3))
| ~ spl4_6
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f355,f162]) ).
fof(f360,plain,
( ! [X0] :
( zero != zero
| ~ greater(zero,growth_rate(efficient_producers,sK0(sK2,sK3)))
| ~ environment(X0)
| ~ in_environment(X0,sK0(sK2,sK3)) )
| ~ spl4_6
| ~ spl4_8 ),
inference(superposition,[],[f99,f357]) ).
fof(f361,plain,
( ! [X0] :
( ~ greater(zero,growth_rate(efficient_producers,sK0(sK2,sK3)))
| ~ environment(X0)
| ~ in_environment(X0,sK0(sK2,sK3)) )
| ~ spl4_6
| ~ spl4_8 ),
inference(trivial_inequality_removal,[],[f360]) ).
fof(f363,definition,
( spl4_20
<=> ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK0(sK2,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl4_20])],[avatar_definition]) ).
fof(f364,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK0(sK2,sK3)) )
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f366,definition,
( spl4_21
<=> greater(zero,growth_rate(efficient_producers,sK0(sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
fof(f367,plain,
( greater(zero,growth_rate(efficient_producers,sK0(sK2,sK3)))
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f368,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK0(sK2,sK3)))
| spl4_21 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f369,plain,
( spl4_20
| ~ spl4_21
| ~ spl4_6
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f361,f161,f146,f366,f363]) ).
fof(f394,plain,
( ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| greater(cardinality_at_time(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)),zero)
| spl4_5 ),
inference(resolution,[],[f144,f55]) ).
fof(f395,plain,
( ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| ~ greater(zero,growth_rate(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)))
| spl4_5 ),
inference(resolution,[],[f144,f54]) ).
fof(f396,plain,
( ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| subpopulation(sK1(sK2,sK0(sK2,sK3)),sK2,sK0(sK2,sK3))
| spl4_5 ),
inference(resolution,[],[f144,f56]) ).
fof(f397,plain,
( ~ in_environment(sK2,sK0(sK2,sK3))
| subpopulation(sK1(sK2,sK0(sK2,sK3)),sK2,sK0(sK2,sK3))
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f396,f74]) ).
fof(f398,plain,
( ~ in_environment(sK2,sK0(sK2,sK3))
| ~ greater(zero,growth_rate(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)))
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f395,f74]) ).
fof(f399,plain,
( ~ in_environment(sK2,sK0(sK2,sK3))
| greater(cardinality_at_time(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)),zero)
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f394,f74]) ).
fof(f400,plain,
( subpopulation(sK1(sK2,sK0(sK2,sK3)),sK2,sK0(sK2,sK3))
| spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f397,f162]) ).
fof(f401,plain,
( ~ greater(zero,growth_rate(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)))
| spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f398,f162]) ).
fof(f402,plain,
( greater(cardinality_at_time(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)),zero)
| spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f399,f162]) ).
fof(f403,plain,
( spl4_7
| spl4_5
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f400,f161,f142,f157]) ).
fof(f404,plain,
( ~ spl4_9
| spl4_5
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f401,f161,f142,f166]) ).
fof(f405,plain,
( spl4_10
| spl4_5
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f402,f161,f142,f171]) ).
fof(f406,plain,
( ~ greater_or_equal(sK3,appear(efficient_producers,sK2))
| ~ environment(sK2)
| ~ spl4_2
| spl4_21 ),
inference(resolution,[],[f368,f189]) ).
fof(f412,plain,
( ~ environment(sK2)
| ~ spl4_2
| spl4_21 ),
inference(forward_subsumption_resolution,[],[f406,f72]) ).
fof(f413,plain,
( $false
| ~ spl4_2
| spl4_21 ),
inference(forward_subsumption_resolution,[],[f412,f74]) ).
fof(f414,plain,
( ~ spl4_2
| spl4_21 ),
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f415,plain,
( ! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,sK0(sK2,sK3))
| ~ greater(zero,growth_rate(X1,sK0(sK2,sK3)))
| ~ greater(resilience(X1),resilience(sK1(sK2,sK0(sK2,sK3)))) )
| spl4_9 ),
inference(resolution,[],[f168,f69]) ).
fof(f417,definition,
( spl4_26
<=> ! [X1] :
( ~ greater(zero,growth_rate(X1,sK0(sK2,sK3)))
| ~ greater(resilience(X1),resilience(sK1(sK2,sK0(sK2,sK3)))) ) ),
introduced(definition,[new_symbols(definition,[spl4_26])],[avatar_definition]) ).
fof(f418,plain,
( ! [X1] :
( ~ greater(zero,growth_rate(X1,sK0(sK2,sK3)))
| ~ greater(resilience(X1),resilience(sK1(sK2,sK0(sK2,sK3)))) )
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f419,plain,
( spl4_26
| spl4_20
| spl4_9 ),
inference(avatar_split_clause,[],[f415,f166,f363,f417]) ).
fof(f421,plain,
( efficient_producers = sK1(sK2,sK0(sK2,sK3))
| ~ subpopulation(sK1(sK2,sK0(sK2,sK3)),sK2,sK0(sK2,sK3))
| first_movers = sK1(sK2,sK0(sK2,sK3))
| ~ spl4_10 ),
inference(resolution,[],[f173,f86]) ).
fof(f422,plain,
( efficient_producers = sK1(sK2,sK0(sK2,sK3))
| first_movers = sK1(sK2,sK0(sK2,sK3))
| ~ spl4_7
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f421,f159]) ).
fof(f424,definition,
( spl4_27
<=> first_movers = sK1(sK2,sK0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_27])],[avatar_definition]) ).
fof(f426,plain,
( first_movers = sK1(sK2,sK0(sK2,sK3))
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f428,definition,
( spl4_28
<=> efficient_producers = sK1(sK2,sK0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_28])],[avatar_definition]) ).
fof(f430,plain,
( efficient_producers = sK1(sK2,sK0(sK2,sK3))
| ~ spl4_28 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f431,plain,
( spl4_27
| spl4_28
| ~ spl4_7
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f422,f171,f157,f428,f424]) ).
fof(f435,plain,
( ! [X1] :
( ~ greater(resilience(X1),resilience(first_movers))
| ~ greater(zero,growth_rate(X1,sK0(sK2,sK3))) )
| ~ spl4_26
| ~ spl4_27 ),
inference(forward_demodulation,[],[f418,f426]) ).
fof(f436,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK0(sK2,sK3)))
| ~ spl4_26
| ~ spl4_27 ),
inference(resolution,[],[f435,f70]) ).
fof(f437,plain,
( $false
| ~ spl4_21
| ~ spl4_26
| ~ spl4_27 ),
inference(forward_subsumption_resolution,[],[f436,f367]) ).
fof(f438,plain,
( ~ spl4_21
| ~ spl4_26
| ~ spl4_27 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f441,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK0(sK2,sK3)))
| spl4_9
| ~ spl4_28 ),
inference(superposition,[],[f168,f430]) ).
fof(f443,plain,
( $false
| spl4_9
| ~ spl4_21
| ~ spl4_28 ),
inference(forward_subsumption_resolution,[],[f441,f367]) ).
fof(f444,plain,
( spl4_9
| ~ spl4_21
| ~ spl4_28 ),
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f449,plain,
( ~ in_environment(sK2,sK0(sK2,sK3))
| ~ spl4_20 ),
inference(resolution,[],[f364,f74]) ).
fof(f450,plain,
( $false
| ~ spl4_8
| ~ spl4_20 ),
inference(forward_subsumption_resolution,[],[f449,f162]) ).
fof(f451,plain,
( ~ spl4_8
| ~ spl4_20 ),
inference(avatar_contradiction_clause,[],[f450]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f84]) ).
cnf(s8,plain,
( ~ spl4_2
| spl4_8 ),
inference(sat_conversion,[],[f180]) ).
cnf(s9,plain,
~ spl4_1,
inference(sat_conversion,[],[f183]) ).
cnf(s11,plain,
( ~ spl4_5
| spl4_6
| ~ spl4_8 ),
inference(sat_conversion,[],[f194]) ).
cnf(s29,plain,
( ~ spl4_6
| ~ spl4_8
| spl4_20
| ~ spl4_21 ),
inference(sat_conversion,[],[f369]) ).
cnf(s32,plain,
( spl4_5
| spl4_7
| ~ spl4_8 ),
inference(sat_conversion,[],[f403]) ).
cnf(s33,plain,
( spl4_5
| ~ spl4_8
| ~ spl4_9 ),
inference(sat_conversion,[],[f404]) ).
cnf(s34,plain,
( spl4_5
| ~ spl4_8
| spl4_10 ),
inference(sat_conversion,[],[f405]) ).
cnf(s36,plain,
( ~ spl4_2
| spl4_21 ),
inference(sat_conversion,[],[f414]) ).
cnf(s37,plain,
( spl4_9
| spl4_20
| spl4_26 ),
inference(sat_conversion,[],[f419]) ).
cnf(s38,plain,
( ~ spl4_7
| ~ spl4_10
| spl4_27
| spl4_28 ),
inference(sat_conversion,[],[f431]) ).
cnf(s39,plain,
( ~ spl4_21
| ~ spl4_26
| ~ spl4_27 ),
inference(sat_conversion,[],[f438]) ).
cnf(s40,plain,
( spl4_9
| ~ spl4_21
| ~ spl4_28 ),
inference(sat_conversion,[],[f444]) ).
cnf(s41,plain,
( ~ spl4_8
| ~ spl4_20 ),
inference(sat_conversion,[],[f451]) ).
cnf(s42,plain,
spl4_2,
inference(rat,[],[s1,s9]) ).
cnf(s43,plain,
spl4_21,
inference(rat,[],[s36,s42]) ).
cnf(s45,plain,
spl4_8,
inference(rat,[],[s8,s42]) ).
cnf(s47,plain,
~ spl4_20,
inference(rat,[],[s41,s45]) ).
cnf(s48,plain,
~ spl4_6,
inference(rat,[],[s29,s43,s47,s45]) ).
cnf(s49,plain,
~ spl4_5,
inference(rat,[],[s11,s45,s48]) ).
cnf(s50,plain,
spl4_10,
inference(rat,[],[s34,s45,s49]) ).
cnf(s51,plain,
~ spl4_9,
inference(rat,[],[s33,s45,s49]) ).
cnf(s52,plain,
spl4_7,
inference(rat,[],[s32,s45,s49]) ).
cnf(s53,plain,
~ spl4_28,
inference(rat,[],[s40,s43,s51]) ).
cnf(s54,plain,
spl4_26,
inference(rat,[],[s37,s47,s51]) ).
cnf(s55,plain,
spl4_27,
inference(rat,[],[s38,s53,s50,s52]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s39,s43,s55,s54]) ).
fof(f452,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT037+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n016.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 17:27:47 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.31/1.16 % (2871245)Detected formulas, will run a generic FOF schedule.
% 2.31/1.16 % (2871255)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2931192366:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.31/1.16 % (2871255)First to succeed.
% 2.31/1.16 % (2871255)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2871245"
% 2.31/1.16 % (2871251)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=354990226:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.31/1.16 % (2871250)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1226542249:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.31/1.16 % (2871253)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2329343326:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.31/1.16 % (2871256)dis-21_1_sil=8000:lcm=predicate:random_seed=3945696366:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.31/1.16 % (2871252)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=256073992:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.31/1.16 % (2871254)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2369201974:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.31/1.16 % (2871254)Also succeeded, but the first one will report.
% 2.31/1.16 % (2871256)Instruction limit reached!
% 2.31/1.16 % (2871256)------------------------------
% 2.31/1.16 % (2871256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/1.16 % (2871256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/1.16 % (2871256)CaDiCaL version: 2.1.3
% 2.31/1.16 % (2871256)Termination reason: Instruction limit
% 2.31/1.16 % (2871256)Termination phase: Saturation
% 2.31/1.16 % (2871256)Time elapsed: 0.049 s
% 2.31/1.16 % (2871256)Peak memory usage: 88 MB
% 2.31/1.16 % (2871256)Instructions burned: 131 (million)
% 2.31/1.16 % (2871253)Refutation not found, incomplete strategy
% 2.31/1.16 % (2871253)------------------------------
% 2.31/1.16 % (2871253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/1.16 % (2871253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/1.16 % (2871253)CaDiCaL version: 2.1.3
% 2.31/1.16 % (2871253)Termination reason: Refutation not found, incomplete strategy
% 2.31/1.16 % (2871253)Time elapsed: 0.058 s
% 2.31/1.16 % (2871253)Peak memory usage: 89 MB
% 2.31/1.16 % (2871253)Instructions burned: 109 (million)
% 2.31/1.16 % (2871255)Refutation found. Thanks to Tanya!
% 2.31/1.16 % SZS status Theorem for theBenchmark
% 2.31/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.36 % (2871255)------------------------------
% 2.71/1.36 % (2871255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.36 % (2871255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.36 % (2871255)CaDiCaL version: 2.1.3
% 2.71/1.36 % (2871255)Termination reason: Refutation
% 2.71/1.36 % (2871255)Time elapsed: 0.009 s
% 2.71/1.36 % (2871255)Peak memory usage: 90 MB
% 2.71/1.36 % (2871255)Instructions burned: 20 (million)
% 2.71/1.36 % (2871255)------------------------------
% 2.71/1.36 % (2871255)------------------------------
% 2.71/1.36 % (2871245)Success in time 0.297 s
% 2.71/1.36 % Vampire exiting
%------------------------------------------------------------------------------