TSTP Solution File: MGT023+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT023+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:56:36 EDT 2024
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 64 ( 6 unt; 0 def)
% Number of atoms : 338 ( 18 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 454 ( 180 ~; 183 |; 74 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 125 ( 101 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f95,plain,
$false,
inference(subsumption_resolution,[],[f94,f35]) ).
fof(f35,plain,
stable(sK3),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
( ~ in_environment(sK3,critical_point(sK3))
& stable(sK3)
& environment(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f12,f21]) ).
fof(f21,plain,
( ? [X0] :
( ~ in_environment(X0,critical_point(X0))
& stable(X0)
& environment(X0) )
=> ( ~ in_environment(sK3,critical_point(sK3))
& stable(sK3)
& environment(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0] :
( ~ in_environment(X0,critical_point(X0))
& stable(X0)
& environment(X0) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
? [X0] :
( ~ in_environment(X0,critical_point(X0))
& stable(X0)
& environment(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X0] :
( ( stable(X0)
& environment(X0) )
=> in_environment(X0,critical_point(X0)) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> in_environment(X0,critical_point(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.stIBKZgk9h/Vampire---4.8_18725',prove_l5) ).
fof(f94,plain,
~ stable(sK3),
inference(subsumption_resolution,[],[f93,f34]) ).
fof(f34,plain,
environment(sK3),
inference(cnf_transformation,[],[f22]) ).
fof(f93,plain,
( ~ environment(sK3)
| ~ stable(sK3) ),
inference(resolution,[],[f92,f51]) ).
fof(f51,plain,
! [X0] :
( ~ sP0(X0)
| ~ environment(X0)
| ~ stable(X0) ),
inference(subsumption_resolution,[],[f50,f32]) ).
fof(f32,plain,
! [X0] :
( in_environment(X0,sK2(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,sK2(X0)) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f10,f19]) ).
fof(f19,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
=> ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( ! [X2] :
( ( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& in_environment(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.stIBKZgk9h/Vampire---4.8_18725',l1) ).
fof(f50,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| ~ in_environment(X0,sK2(X0))
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| ~ in_environment(X0,sK2(X0))
| ~ sP0(X0)
| ~ in_environment(X0,sK2(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f48,f38]) ).
fof(f38,plain,
! [X0,X1] :
( greater_or_equal(sK4(X0,X1),X1)
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ( ~ greater(growth_rate(efficient_producers,sK4(X0,X1)),growth_rate(first_movers,sK4(X0,X1)))
& greater_or_equal(sK4(X0,X1),X1)
& subpopulations(first_movers,efficient_producers,X0,sK4(X0,X1)) )
| ~ in_environment(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f23,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> ( ~ greater(growth_rate(efficient_producers,sK4(X0,X1)),growth_rate(first_movers,sK4(X0,X1)))
& greater_or_equal(sK4(X0,X1),X1)
& subpopulations(first_movers,efficient_producers,X0,sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f48,plain,
! [X0,X1] :
( ~ greater_or_equal(sK4(X0,X1),sK2(X0))
| ~ stable(X0)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ greater_or_equal(sK4(X0,X1),sK2(X0))
| ~ stable(X0)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ sP0(X0)
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(resolution,[],[f43,f37]) ).
fof(f37,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sK4(X0,X1))
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X2,sK4(X0,X1))
| ~ greater_or_equal(sK4(X0,X1),sK2(X2))
| ~ stable(X2)
| ~ environment(X2)
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(resolution,[],[f33,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sK4(X0,X1)),growth_rate(first_movers,sK4(X0,X1)))
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f33,plain,
! [X2,X0] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f92,plain,
sP0(sK3),
inference(subsumption_resolution,[],[f91,f34]) ).
fof(f91,plain,
( sP0(sK3)
| ~ environment(sK3) ),
inference(resolution,[],[f90,f36]) ).
fof(f36,plain,
~ in_environment(sK3,critical_point(sK3)),
inference(cnf_transformation,[],[f22]) ).
fof(f90,plain,
! [X0] :
( in_environment(X0,critical_point(X0))
| sP0(X0)
| ~ environment(X0) ),
inference(duplicate_literal_removal,[],[f71]) ).
fof(f71,plain,
! [X0] :
( in_environment(X0,critical_point(X0))
| sP0(X0)
| ~ environment(X0)
| ~ environment(X0)
| sP0(X0) ),
inference(superposition,[],[f40,f70]) ).
fof(f70,plain,
! [X0] :
( critical_point(X0) = sK5(X0)
| ~ environment(X0)
| sP0(X0) ),
inference(subsumption_resolution,[],[f69,f40]) ).
fof(f69,plain,
! [X0] :
( ~ environment(X0)
| critical_point(X0) = sK5(X0)
| ~ in_environment(X0,sK5(X0))
| sP0(X0) ),
inference(duplicate_literal_removal,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ~ environment(X0)
| critical_point(X0) = sK5(X0)
| ~ in_environment(X0,sK5(X0))
| sP0(X0)
| sP0(X0)
| ~ environment(X0)
| ~ in_environment(X0,sK5(X0))
| critical_point(X0) = sK5(X0)
| ~ environment(X0)
| sP0(X0)
| ~ environment(X0) ),
inference(resolution,[],[f67,f46]) ).
fof(f46,plain,
! [X0,X1] :
( greater(sK1(X0,sK5(X1)),sK5(X1))
| ~ in_environment(X0,sK5(X1))
| critical_point(X0) = sK5(X1)
| ~ environment(X0)
| sP0(X1)
| ~ environment(X1) ),
inference(resolution,[],[f30,f41]) ).
fof(f41,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sK5(X0)),growth_rate(first_movers,sK5(X0)))
| sP0(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,sK5(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,sK5(X0)),growth_rate(first_movers,sK5(X0)))
& in_environment(X0,sK5(X0)) )
| sP0(X0)
| ~ environment(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f26,f27]) ).
fof(f27,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& in_environment(X0,X1) )
=> ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,sK5(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,sK5(X0)),growth_rate(first_movers,sK5(X0)))
& in_environment(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& in_environment(X0,X1) )
| sP0(X0)
| ~ environment(X0) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4))
| ~ greater(X4,X3)
| ~ subpopulations(first_movers,efficient_producers,X0,X4) )
& ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
& in_environment(X0,X3) )
| sP0(X0)
| ~ environment(X0) ),
inference(definition_folding,[],[f14,f15]) ).
fof(f14,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4))
| ~ greater(X4,X3)
| ~ subpopulations(first_movers,efficient_producers,X0,X4) )
& ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
& in_environment(X0,X3) )
| ! [X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1) )
| ~ environment(X0) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4))
| ~ greater(X4,X3)
| ~ subpopulations(first_movers,efficient_producers,X0,X4) )
& ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
& in_environment(X0,X3) )
| ! [X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1) )
| ~ environment(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0] :
( ( ? [X1] :
( ! [X2] :
( ( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& in_environment(X0,X1) )
& environment(X0) )
=> ? [X3] :
( ! [X4] :
( ( greater(X4,X3)
& subpopulations(first_movers,efficient_producers,X0,X4) )
=> greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4)) )
& ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
& in_environment(X0,X3) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ( ? [X1] :
( ! [X2] :
( ( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& in_environment(X0,X1) )
& environment(X0) )
=> ? [X1] :
( ! [X2] :
( ( greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& in_environment(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.stIBKZgk9h/Vampire---4.8_18725',mp_earliest_time_growth_rate_exceeds) ).
fof(f30,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| greater(sK1(X0,X1),X1)
| ~ in_environment(X0,X1)
| critical_point(X0) = X1
| ~ environment(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( critical_point(X0) = X1
| ( ~ greater(growth_rate(efficient_producers,sK1(X0,X1)),growth_rate(first_movers,sK1(X0,X1)))
& greater(sK1(X0,X1),X1)
& subpopulations(first_movers,efficient_producers,X0,sK1(X0,X1)) )
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f8,f17]) ).
fof(f17,plain,
! [X0,X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> ( ~ greater(growth_rate(efficient_producers,sK1(X0,X1)),growth_rate(first_movers,sK1(X0,X1)))
& greater(sK1(X0,X1),X1)
& subpopulations(first_movers,efficient_producers,X0,sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X0,X1] :
( critical_point(X0) = X1
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( critical_point(X0) = X1
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ( ! [X2] :
( ( greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& in_environment(X0,X1)
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& environment(X0) )
=> critical_point(X0) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.stIBKZgk9h/Vampire---4.8_18725',d1) ).
fof(f67,plain,
! [X0,X1] :
( ~ greater(sK1(X0,sK5(X1)),sK5(X0))
| ~ environment(X0)
| critical_point(X0) = sK5(X1)
| ~ in_environment(X0,sK5(X1))
| sP0(X0)
| sP0(X1)
| ~ environment(X1) ),
inference(duplicate_literal_removal,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( critical_point(X0) = sK5(X1)
| ~ environment(X0)
| ~ greater(sK1(X0,sK5(X1)),sK5(X0))
| ~ in_environment(X0,sK5(X1))
| sP0(X0)
| ~ environment(X0)
| sP0(X1)
| ~ environment(X1)
| ~ in_environment(X0,sK5(X1))
| critical_point(X0) = sK5(X1)
| ~ environment(X0)
| sP0(X1)
| ~ environment(X1) ),
inference(resolution,[],[f62,f53]) ).
fof(f53,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sK1(X0,sK5(X1)))
| ~ in_environment(X0,sK5(X1))
| critical_point(X0) = sK5(X1)
| ~ environment(X0)
| sP0(X1)
| ~ environment(X1) ),
inference(resolution,[],[f29,f41]) ).
fof(f29,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| subpopulations(first_movers,efficient_producers,X0,sK1(X0,X1))
| ~ in_environment(X0,X1)
| critical_point(X0) = X1
| ~ environment(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X2,sK1(X0,sK5(X1)))
| critical_point(X0) = sK5(X1)
| ~ environment(X0)
| ~ greater(sK1(X0,sK5(X1)),sK5(X2))
| ~ in_environment(X0,sK5(X1))
| sP0(X2)
| ~ environment(X2)
| sP0(X1)
| ~ environment(X1) ),
inference(resolution,[],[f57,f41]) ).
fof(f57,plain,
! [X2,X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| critical_point(X0) = X1
| ~ environment(X0)
| ~ greater(sK1(X0,X1),sK5(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,sK1(X0,X1))
| sP0(X2)
| ~ environment(X2) ),
inference(resolution,[],[f31,f42]) ).
fof(f42,plain,
! [X2,X0] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,sK5(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| sP0(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f31,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sK1(X0,X1)),growth_rate(first_movers,sK1(X0,X1)))
| critical_point(X0) = X1
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f40,plain,
! [X0] :
( in_environment(X0,sK5(X0))
| sP0(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT023+2 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:04:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.stIBKZgk9h/Vampire---4.8_18725
% 0.55/0.75 % (19071)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.75 % (19064)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75 % (19066)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (19065)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.75 % (19067)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.75 % (19071)Refutation not found, incomplete strategy% (19071)------------------------------
% 0.55/0.75 % (19071)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (19068)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75 % (19071)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (19069)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.75 % (19071)Memory used [KB]: 973
% 0.55/0.75 % (19071)Time elapsed: 0.002 s
% 0.55/0.75 % (19071)Instructions burned: 3 (million)
% 0.55/0.75 % (19070)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.75 % (19071)------------------------------
% 0.55/0.75 % (19071)------------------------------
% 0.55/0.75 % (19068)Refutation not found, incomplete strategy% (19068)------------------------------
% 0.55/0.75 % (19068)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (19068)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (19068)Memory used [KB]: 977
% 0.55/0.75 % (19068)Time elapsed: 0.003 s
% 0.55/0.75 % (19068)Instructions burned: 3 (million)
% 0.55/0.75 % (19068)------------------------------
% 0.55/0.75 % (19068)------------------------------
% 0.55/0.75 % (19064)Refutation not found, incomplete strategy% (19064)------------------------------
% 0.55/0.75 % (19064)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (19067)Refutation not found, incomplete strategy% (19067)------------------------------
% 0.55/0.75 % (19067)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (19064)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (19064)Memory used [KB]: 1043
% 0.55/0.75 % (19064)Time elapsed: 0.004 s
% 0.55/0.75 % (19064)Instructions burned: 4 (million)
% 0.55/0.75 % (19067)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (19067)Memory used [KB]: 1041
% 0.55/0.75 % (19067)Time elapsed: 0.004 s
% 0.55/0.75 % (19067)Instructions burned: 4 (million)
% 0.55/0.75 % (19064)------------------------------
% 0.55/0.75 % (19064)------------------------------
% 0.55/0.75 % (19067)------------------------------
% 0.55/0.75 % (19067)------------------------------
% 0.55/0.75 % (19074)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.55/0.75 % (19066)Also succeeded, but the first one will report.
% 0.55/0.75 % (19069)First to succeed.
% 0.55/0.75 % (19074)Refutation not found, incomplete strategy% (19074)------------------------------
% 0.55/0.75 % (19074)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (19074)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (19074)Memory used [KB]: 1023
% 0.55/0.75 % (19074)Time elapsed: 0.002 s
% 0.55/0.75 % (19074)Instructions burned: 4 (million)
% 0.55/0.75 % (19070)Also succeeded, but the first one will report.
% 0.55/0.75 % (19074)------------------------------
% 0.55/0.75 % (19074)------------------------------
% 0.55/0.75 % (19069)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18977"
% 0.55/0.75 % (19069)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Theorem for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (19069)------------------------------
% 0.55/0.75 % (19069)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (19069)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (19069)Memory used [KB]: 1062
% 0.55/0.75 % (19069)Time elapsed: 0.006 s
% 0.55/0.75 % (19069)Instructions burned: 8 (million)
% 0.55/0.75 % (18977)Success in time 0.381 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------