%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n004.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 12:02:38 PM UTC 2026
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 31
% Syntax : Number of formulae : 192 ( 25 unt; 15 def)
% Number of atoms : 579 ( 63 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 668 ( 281 ~; 288 |; 64 &)
% ( 15 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 16 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 174 ( 0 sgn 164 !; 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] :
( ~ environment(X0)
| greater(zero,growth_rate(efficient_producers,sK0(X0,X1)))
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| cardinality_at_time(efficient_producers,X1) != zero ),
inference(cnf_transformation,[],[f46]) ).
fof(f51,plain,
! [X0,X1] :
( ~ environment(X0)
| in_environment(X0,sK0(X0,X1))
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| cardinality_at_time(efficient_producers,X1) != zero ),
inference(cnf_transformation,[],[f46]) ).
fof(f53,plain,
! [X0,X1] :
( ~ environment(X0)
| zero = number_of_organizations(X0,X1)
| ~ in_environment(X0,X1)
| ~ greater(appear(an_organisation,X0),X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f54,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ greater(zero,growth_rate(sK1(X0,X1),X1))
| ~ in_environment(X0,X1)
| decreases(number_of_organizations(X0,X1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f55,plain,
! [X0,X1] :
( ~ environment(X0)
| greater(cardinality_at_time(sK1(X0,X1),X1),zero)
| ~ in_environment(X0,X1)
| decreases(number_of_organizations(X0,X1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f56,plain,
! [X0,X1] :
( ~ environment(X0)
| subpopulation(sK1(X0,X1),X0,X1)
| ~ in_environment(X0,X1)
| decreases(number_of_organizations(X0,X1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ environment(X0)
| zero = cardinality_at_time(X2,X1)
| ~ in_environment(X0,X1)
| zero != number_of_organizations(X0,X1)
| ~ subpopulation(X2,X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f58,plain,
! [X0,X1] :
( ~ environment(X0)
| subpopulation(efficient_producers,X0,X1)
| ~ 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] :
( ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,X1),zero)
| cardinality_at_time(efficient_producers,X1) = zero
| ~ 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] :
( ~ environment(X0)
| greater(appear(an_organisation,X0),X1)
| greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f64,plain,
! [X0,X1] :
( ~ environment(X0)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero) ),
inference(cnf_transformation,[],[f35]) ).
fof(f65,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ greater(equilibrium(X0),X1)
| decreases(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero) ),
inference(cnf_transformation,[],[f35]) ).
fof(f66,plain,
! [X0,X1] :
( ~ environment(X0)
| greater(number_of_organizations(X0,X1),zero)
| ~ 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] :
( ~ environment(X0)
| ~ greater(zero,growth_rate(X2,X3))
| ~ in_environment(X0,X3)
| greater(zero,growth_rate(X1,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] :
( ~ in_environment(sK2,X0)
| subpopulation(efficient_producers,sK2,X0) ),
inference(resolution,[],[f58,f74]) ).
fof(f80,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| greater(number_of_organizations(sK2,X0),zero)
| ~ greater_or_equal(X0,appear(an_organisation,sK2)) ),
inference(resolution,[],[f66,f74]) ).
fof(f91,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| zero = number_of_organizations(sK2,X0)
| ~ greater(appear(an_organisation,sK2),X0) ),
inference(resolution,[],[f53,f74]) ).
fof(f92,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| subpopulation(sK1(sK2,X0),sK2,X0)
| decreases(number_of_organizations(sK2,X0)) ),
inference(resolution,[],[f56,f74]) ).
fof(f103,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| zero = cardinality_at_time(efficient_producers,X0)
| greater(cardinality_at_time(efficient_producers,X0),zero) ),
inference(resolution,[],[f61,f74]) ).
fof(f104,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| greater_or_equal(X0,appear(an_organisation,sK2))
| greater(appear(an_organisation,sK2),X0) ),
inference(resolution,[],[f63,f74]) ).
fof(f115,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| ~ greater(zero,growth_rate(sK1(sK2,X0),X0))
| decreases(number_of_organizations(sK2,X0)) ),
inference(resolution,[],[f54,f74]) ).
fof(f116,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| greater(cardinality_at_time(sK1(sK2,X0),X0),zero)
| decreases(number_of_organizations(sK2,X0)) ),
inference(resolution,[],[f55,f74]) ).
fof(f117,plain,
( zero = cardinality_at_time(efficient_producers,sK3)
| greater(cardinality_at_time(efficient_producers,sK3),zero) ),
inference(resolution,[],[f103,f73]) ).
fof(f118,plain,
zero = cardinality_at_time(efficient_producers,sK3),
inference(forward_subsumption_resolution,[],[f117,f75]) ).
fof(f119,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(f122,plain,
! [X0] :
( ~ greater_or_equal(X0,appear(efficient_producers,sK2))
| in_environment(sK2,sK0(sK2,X0))
| zero != cardinality_at_time(efficient_producers,X0) ),
inference(resolution,[],[f51,f74]) ).
fof(f127,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| constant(resources(sK2,X0))
| greater(equilibrium(sK2),X0)
| ~ greater(number_of_organizations(sK2,X0),zero) ),
inference(resolution,[],[f64,f74]) ).
fof(f128,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| decreases(resources(sK2,X0))
| ~ greater(equilibrium(sK2),X0)
| ~ greater(number_of_organizations(sK2,X0),zero) ),
inference(resolution,[],[f65,f74]) ).
fof(f129,plain,
! [X0] :
( ~ greater_or_equal(X0,appear(efficient_producers,sK2))
| greater(zero,growth_rate(efficient_producers,sK0(sK2,X0)))
| zero != cardinality_at_time(efficient_producers,X0) ),
inference(resolution,[],[f49,f74]) ).
fof(f133,plain,
! [X0,X1] :
( ~ in_environment(sK2,X1)
| zero = cardinality_at_time(X0,X1)
| zero != number_of_organizations(sK2,X1)
| ~ subpopulation(X0,sK2,X1) ),
inference(resolution,[],[f57,f74]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ in_environment(sK2,X1)
| ~ greater(zero,growth_rate(X0,X1))
| greater(zero,growth_rate(X2,X1))
| ~ greater(resilience(X0),resilience(X2)) ),
inference(resolution,[],[f69,f74]) ).
fof(f137,plain,
( in_environment(sK2,sK0(sK2,sK3))
| zero != cardinality_at_time(efficient_producers,sK3) ),
inference(resolution,[],[f122,f72]) ).
fof(f138,plain,
in_environment(sK2,sK0(sK2,sK3)),
inference(forward_subsumption_resolution,[],[f137,f118]) ).
fof(f152,plain,
( greater(zero,growth_rate(efficient_producers,sK0(sK2,sK3)))
| zero != cardinality_at_time(efficient_producers,sK3) ),
inference(resolution,[],[f129,f72]) ).
fof(f153,plain,
greater(zero,growth_rate(efficient_producers,sK0(sK2,sK3))),
inference(forward_subsumption_resolution,[],[f152,f118]) ).
fof(f161,plain,
subpopulation(efficient_producers,sK2,sK0(sK2,sK3)),
inference(resolution,[],[f138,f76]) ).
fof(f163,plain,
( greater(number_of_organizations(sK2,sK0(sK2,sK3)),zero)
| ~ greater_or_equal(sK0(sK2,sK3),appear(an_organisation,sK2)) ),
inference(resolution,[],[f138,f80]) ).
fof(f164,plain,
( zero = number_of_organizations(sK2,sK0(sK2,sK3))
| ~ greater(appear(an_organisation,sK2),sK0(sK2,sK3)) ),
inference(resolution,[],[f138,f91]) ).
fof(f165,plain,
( subpopulation(sK1(sK2,sK0(sK2,sK3)),sK2,sK0(sK2,sK3))
| decreases(number_of_organizations(sK2,sK0(sK2,sK3))) ),
inference(resolution,[],[f138,f92]) ).
fof(f167,plain,
( greater_or_equal(sK0(sK2,sK3),appear(an_organisation,sK2))
| greater(appear(an_organisation,sK2),sK0(sK2,sK3)) ),
inference(resolution,[],[f138,f104]) ).
fof(f168,plain,
( ~ greater(zero,growth_rate(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)))
| decreases(number_of_organizations(sK2,sK0(sK2,sK3))) ),
inference(resolution,[],[f138,f115]) ).
fof(f169,plain,
( greater(cardinality_at_time(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)),zero)
| decreases(number_of_organizations(sK2,sK0(sK2,sK3))) ),
inference(resolution,[],[f138,f116]) ).
fof(f170,plain,
( constant(resources(sK2,sK0(sK2,sK3)))
| greater(equilibrium(sK2),sK0(sK2,sK3))
| ~ greater(number_of_organizations(sK2,sK0(sK2,sK3)),zero) ),
inference(resolution,[],[f138,f127]) ).
fof(f171,plain,
( decreases(resources(sK2,sK0(sK2,sK3)))
| ~ greater(equilibrium(sK2),sK0(sK2,sK3))
| ~ greater(number_of_organizations(sK2,sK0(sK2,sK3)),zero) ),
inference(resolution,[],[f138,f128]) ).
fof(f172,plain,
! [X0] :
( zero = cardinality_at_time(X0,sK0(sK2,sK3))
| zero != number_of_organizations(sK2,sK0(sK2,sK3))
| ~ subpopulation(X0,sK2,sK0(sK2,sK3)) ),
inference(resolution,[],[f138,f133]) ).
fof(f173,plain,
! [X0,X1] :
( ~ greater(zero,growth_rate(X0,sK0(sK2,sK3)))
| greater(zero,growth_rate(X1,sK0(sK2,sK3)))
| ~ greater(resilience(X0),resilience(X1)) ),
inference(resolution,[],[f138,f134]) ).
fof(f175,definition,
( spl4_9
<=> zero = number_of_organizations(sK2,sK0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f179,definition,
( spl4_10
<=> ! [X0] :
( zero = cardinality_at_time(X0,sK0(sK2,sK3))
| ~ subpopulation(X0,sK2,sK0(sK2,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f180,plain,
( ! [X0] :
( ~ subpopulation(X0,sK2,sK0(sK2,sK3))
| zero = cardinality_at_time(X0,sK0(sK2,sK3)) )
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f181,plain,
( ~ spl4_9
| spl4_10 ),
inference(avatar_split_clause,[],[f172,f179,f175]) ).
fof(f183,definition,
( spl4_11
<=> greater(number_of_organizations(sK2,sK0(sK2,sK3)),zero) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f187,definition,
( spl4_12
<=> greater(equilibrium(sK2),sK0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
fof(f191,definition,
( spl4_13
<=> decreases(resources(sK2,sK0(sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).
fof(f193,plain,
( decreases(resources(sK2,sK0(sK2,sK3)))
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f194,plain,
( ~ spl4_11
| ~ spl4_12
| spl4_13 ),
inference(avatar_split_clause,[],[f171,f191,f187,f183]) ).
fof(f196,definition,
( spl4_14
<=> constant(resources(sK2,sK0(sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
fof(f198,plain,
( constant(resources(sK2,sK0(sK2,sK3)))
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f199,plain,
( ~ spl4_11
| spl4_12
| spl4_14 ),
inference(avatar_split_clause,[],[f170,f196,f187,f183]) ).
fof(f201,definition,
( spl4_15
<=> decreases(number_of_organizations(sK2,sK0(sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
fof(f203,plain,
( decreases(number_of_organizations(sK2,sK0(sK2,sK3)))
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl4_16
<=> greater(cardinality_at_time(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)),zero) ),
introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).
fof(f207,plain,
( greater(cardinality_at_time(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)),zero)
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f208,plain,
( spl4_15
| spl4_16 ),
inference(avatar_split_clause,[],[f169,f205,f201]) ).
fof(f210,definition,
( spl4_17
<=> greater(zero,growth_rate(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
fof(f212,plain,
( ~ greater(zero,growth_rate(sK1(sK2,sK0(sK2,sK3)),sK0(sK2,sK3)))
| spl4_17 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f213,plain,
( spl4_15
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f168,f210,f201]) ).
fof(f215,definition,
( spl4_18
<=> greater(appear(an_organisation,sK2),sK0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).
fof(f219,definition,
( spl4_19
<=> greater_or_equal(sK0(sK2,sK3),appear(an_organisation,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_19])],[avatar_definition]) ).
fof(f222,plain,
( spl4_18
| spl4_19 ),
inference(avatar_split_clause,[],[f167,f219,f215]) ).
fof(f228,definition,
( spl4_21
<=> zero = cardinality_at_time(efficient_producers,sK0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
fof(f229,plain,
( zero != cardinality_at_time(efficient_producers,sK0(sK2,sK3))
| spl4_21 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f233,definition,
( spl4_22
<=> subpopulation(sK1(sK2,sK0(sK2,sK3)),sK2,sK0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_22])],[avatar_definition]) ).
fof(f235,plain,
( subpopulation(sK1(sK2,sK0(sK2,sK3)),sK2,sK0(sK2,sK3))
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f236,plain,
( spl4_15
| spl4_22 ),
inference(avatar_split_clause,[],[f165,f233,f201]) ).
fof(f237,plain,
( ~ spl4_18
| spl4_9 ),
inference(avatar_split_clause,[],[f164,f175,f215]) ).
fof(f238,plain,
( ~ spl4_19
| spl4_11 ),
inference(avatar_split_clause,[],[f163,f183,f219]) ).
fof(f241,plain,
zero != cardinality_at_time(efficient_producers,sK0(sK2,sK3)),
inference(resolution,[],[f153,f60]) ).
fof(f242,plain,
~ spl4_21,
inference(avatar_split_clause,[],[f241,f228]) ).
fof(f246,plain,
( zero = cardinality_at_time(efficient_producers,sK0(sK2,sK3))
| ~ spl4_10 ),
inference(resolution,[],[f180,f161]) ).
fof(f248,plain,
( $false
| ~ spl4_10
| spl4_21 ),
inference(forward_subsumption_resolution,[],[f246,f229]) ).
fof(f249,plain,
( ~ spl4_10
| spl4_21 ),
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f250,plain,
( ~ decreases(number_of_organizations(sK2,sK0(sK2,sK3)))
| ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| ~ spl4_13 ),
inference(resolution,[],[f193,f68]) ).
fof(f251,plain,
( ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| ~ spl4_13
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f250,f203]) ).
fof(f252,plain,
( ~ in_environment(sK2,sK0(sK2,sK3))
| ~ spl4_13
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f251,f74]) ).
fof(f253,plain,
( $false
| ~ spl4_13
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f252,f138]) ).
fof(f254,plain,
( ~ spl4_13
| ~ spl4_15 ),
inference(avatar_contradiction_clause,[],[f253]) ).
fof(f255,plain,
( constant(number_of_organizations(sK2,sK0(sK2,sK3)))
| ~ environment(sK2)
| ~ in_environment(sK2,sK0(sK2,sK3))
| ~ spl4_14 ),
inference(resolution,[],[f198,f67]) ).
fof(f257,plain,
( constant(number_of_organizations(sK2,sK0(sK2,sK3)))
| ~ in_environment(sK2,sK0(sK2,sK3))
| ~ spl4_14 ),
inference(forward_subsumption_resolution,[],[f255,f74]) ).
fof(f258,plain,
( constant(number_of_organizations(sK2,sK0(sK2,sK3)))
| ~ spl4_14 ),
inference(forward_subsumption_resolution,[],[f257,f138]) ).
fof(f259,plain,
( ~ decreases(number_of_organizations(sK2,sK0(sK2,sK3)))
| ~ spl4_14 ),
inference(resolution,[],[f258,f62]) ).
fof(f260,plain,
( $false
| ~ spl4_14
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f259,f203]) ).
fof(f261,plain,
( ~ spl4_14
| ~ spl4_15 ),
inference(avatar_contradiction_clause,[],[f260]) ).
fof(f262,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_16 ),
inference(resolution,[],[f207,f119]) ).
fof(f263,plain,
( efficient_producers = sK1(sK2,sK0(sK2,sK3))
| first_movers = sK1(sK2,sK0(sK2,sK3))
| ~ spl4_16
| ~ spl4_22 ),
inference(forward_subsumption_resolution,[],[f262,f235]) ).
fof(f265,definition,
( spl4_23
<=> first_movers = sK1(sK2,sK0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_23])],[avatar_definition]) ).
fof(f267,plain,
( first_movers = sK1(sK2,sK0(sK2,sK3))
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f269,definition,
( spl4_24
<=> efficient_producers = sK1(sK2,sK0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_24])],[avatar_definition]) ).
fof(f271,plain,
( efficient_producers = sK1(sK2,sK0(sK2,sK3))
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f272,plain,
( spl4_23
| spl4_24
| ~ spl4_16
| ~ spl4_22 ),
inference(avatar_split_clause,[],[f263,f233,f205,f269,f265]) ).
fof(f275,plain,
( ~ greater(zero,growth_rate(first_movers,sK0(sK2,sK3)))
| spl4_17
| ~ spl4_23 ),
inference(superposition,[],[f212,f267]) ).
fof(f277,plain,
! [X0] :
( ~ greater(resilience(efficient_producers),resilience(X0))
| greater(zero,growth_rate(X0,sK0(sK2,sK3))) ),
inference(resolution,[],[f173,f153]) ).
fof(f278,plain,
greater(zero,growth_rate(first_movers,sK0(sK2,sK3))),
inference(resolution,[],[f277,f70]) ).
fof(f279,plain,
( $false
| spl4_17
| ~ spl4_23 ),
inference(forward_subsumption_resolution,[],[f278,f275]) ).
fof(f280,plain,
( spl4_17
| ~ spl4_23 ),
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f282,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK0(sK2,sK3)))
| spl4_17
| ~ spl4_24 ),
inference(superposition,[],[f212,f271]) ).
fof(f285,plain,
( $false
| spl4_17
| ~ spl4_24 ),
inference(forward_subsumption_resolution,[],[f282,f153]) ).
fof(f286,plain,
( spl4_17
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f285]) ).
cnf(s7,plain,
( ~ spl4_9
| spl4_10 ),
inference(sat_conversion,[],[f181]) ).
cnf(s8,plain,
( ~ spl4_11
| ~ spl4_12
| spl4_13 ),
inference(sat_conversion,[],[f194]) ).
cnf(s9,plain,
( ~ spl4_11
| spl4_12
| spl4_14 ),
inference(sat_conversion,[],[f199]) ).
cnf(s10,plain,
( spl4_15
| spl4_16 ),
inference(sat_conversion,[],[f208]) ).
cnf(s11,plain,
( spl4_15
| ~ spl4_17 ),
inference(sat_conversion,[],[f213]) ).
cnf(s12,plain,
( spl4_18
| spl4_19 ),
inference(sat_conversion,[],[f222]) ).
cnf(s14,plain,
( spl4_15
| spl4_22 ),
inference(sat_conversion,[],[f236]) ).
cnf(s15,plain,
( spl4_9
| ~ spl4_18 ),
inference(sat_conversion,[],[f237]) ).
cnf(s16,plain,
( spl4_11
| ~ spl4_19 ),
inference(sat_conversion,[],[f238]) ).
cnf(s17,plain,
~ spl4_21,
inference(sat_conversion,[],[f242]) ).
cnf(s18,plain,
( ~ spl4_10
| spl4_21 ),
inference(sat_conversion,[],[f249]) ).
cnf(s19,plain,
( ~ spl4_13
| ~ spl4_15 ),
inference(sat_conversion,[],[f254]) ).
cnf(s20,plain,
( ~ spl4_14
| ~ spl4_15 ),
inference(sat_conversion,[],[f261]) ).
cnf(s21,plain,
( ~ spl4_16
| ~ spl4_22
| spl4_23
| spl4_24 ),
inference(sat_conversion,[],[f272]) ).
cnf(s22,plain,
( spl4_17
| ~ spl4_23 ),
inference(sat_conversion,[],[f280]) ).
cnf(s23,plain,
( spl4_17
| ~ spl4_24 ),
inference(sat_conversion,[],[f286]) ).
cnf(s24,plain,
~ spl4_10,
inference(rat,[],[s18,s17]) ).
cnf(s26,plain,
~ spl4_9,
inference(rat,[],[s7,s24]) ).
cnf(s27,plain,
~ spl4_18,
inference(rat,[],[s15,s26]) ).
cnf(s28,plain,
spl4_19,
inference(rat,[],[s12,s27]) ).
cnf(s29,plain,
spl4_11,
inference(rat,[],[s16,s28]) ).
cnf(s30,plain,
spl4_15,
inference(rat,[],[s21,s22,s23,s10,s11,s14]) ).
cnf(s31,plain,
~ spl4_14,
inference(rat,[],[s20,s30]) ).
cnf(s32,plain,
~ spl4_13,
inference(rat,[],[s19,s30]) ).
cnf(s33,plain,
spl4_12,
inference(rat,[],[s9,s29,s31]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s8,s29,s32,s33]) ).
fof(f287,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT037+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n004.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 17:22:37 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.49 % (3770489)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (3770496)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1592871108:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (3770495)% WARNING: option uhcvi not known.
% 0.17/0.49 % (3770494)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2933500867_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % (3770499)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2683065859:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % (3770495)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1420257931:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % (3770497)dis+10_1_sil=32000:sp=arity:random_seed=3841886507:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49 % (3770498)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=555841694:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % (3770500)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1575472978:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % TRYING [1]
% 0.17/0.49 % TRYING [2]
% 0.17/0.49 % TRYING [3]
% 0.17/0.49 % (3770499) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3770489-3770499"...
% 0.17/0.49 % (3770497) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3770489-3770497"...
% 0.17/0.49 % (3770498) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3770489-3770498"...
% 0.17/0.49 % (3770495) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3770489-3770495"...
% 0.17/0.49 % (3770499)...printing done.
% 0.17/0.49 % (3770497)...printing done.
% 0.17/0.49 % (3770499)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (3770499)------------------------------
% 0.17/0.49 % (3770499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (3770499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (3770499)CaDiCaL version: 2.1.3
% 0.17/0.49 % (3770499)Termination reason: Refutation
% 0.17/0.49 % (3770499)Time elapsed: 0.009 s
% 0.17/0.49 % (3770499)Peak memory usage: 12 MB
% 0.17/0.49 % (3770499)Instructions burned: 12 (million)
% 0.17/0.49 % (3770489)Success in time 0.05 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------