TSTP Solution File: MGT028+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT028+1 : 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 : n002.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 07:56:38 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 69 ( 7 unt; 0 def)
% Number of atoms : 374 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 509 ( 204 ~; 202 |; 81 &)
% ( 1 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 2 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 129 ( 101 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f101,plain,
$false,
inference(avatar_sat_refutation,[],[f76,f100]) ).
fof(f100,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f99]) ).
fof(f99,plain,
( $false
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f98,f68]) ).
fof(f68,plain,
( greater(sK3(sK1),appear(efficient_producers,sK1))
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl5_1
<=> greater(sK3(sK1),appear(efficient_producers,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f98,plain,
~ greater(sK3(sK1),appear(efficient_producers,sK1)),
inference(subsumption_resolution,[],[f97,f27]) ).
fof(f27,plain,
stable(sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ! [X1] :
( ( ~ greater(zero,growth_rate(first_movers,sK2(X1)))
& greater_or_equal(sK2(X1),X1)
& subpopulations(first_movers,efficient_producers,sK1,sK2(X1)) )
| ~ greater(X1,appear(efficient_producers,sK1)) )
& stable(sK1)
& environment(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f11,f17,f16]) ).
fof(f16,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ greater(X1,appear(efficient_producers,X0)) )
& stable(X0)
& environment(X0) )
=> ( ! [X1] :
( ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,sK1,X2) )
| ~ greater(X1,appear(efficient_producers,sK1)) )
& stable(sK1)
& environment(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X1] :
( ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,sK1,X2) )
=> ( ~ greater(zero,growth_rate(first_movers,sK2(X1)))
& greater_or_equal(sK2(X1),X1)
& subpopulations(first_movers,efficient_producers,sK1,sK2(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ greater(X1,appear(efficient_producers,X0)) )
& stable(X0)
& environment(X0) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ greater(X1,appear(efficient_producers,X0)) )
& stable(X0)
& environment(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
~ ! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( ! [X2] :
( ( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(zero,growth_rate(first_movers,X2)) )
& greater(X1,appear(efficient_producers,X0)) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X4] :
( ! [X2] :
( ( greater_or_equal(X2,X4)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(zero,growth_rate(first_movers,X2)) )
& greater(X4,appear(efficient_producers,X0)) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X4] :
( ! [X2] :
( ( greater_or_equal(X2,X4)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(zero,growth_rate(first_movers,X2)) )
& greater(X4,appear(efficient_producers,X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.Wb2Dzd3Pzx/Vampire---4.8_12192',prove_l10) ).
fof(f97,plain,
( ~ stable(sK1)
| ~ greater(sK3(sK1),appear(efficient_producers,sK1)) ),
inference(subsumption_resolution,[],[f96,f26]) ).
fof(f26,plain,
environment(sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f96,plain,
( ~ environment(sK1)
| ~ stable(sK1)
| ~ greater(sK3(sK1),appear(efficient_producers,sK1)) ),
inference(duplicate_literal_removal,[],[f95]) ).
fof(f95,plain,
( ~ environment(sK1)
| ~ stable(sK1)
| ~ greater(sK3(sK1),appear(efficient_producers,sK1))
| ~ greater(sK3(sK1),appear(efficient_producers,sK1)) ),
inference(resolution,[],[f92,f28]) ).
fof(f28,plain,
! [X1] :
( subpopulations(first_movers,efficient_producers,sK1,sK2(X1))
| ~ greater(X1,appear(efficient_producers,sK1)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f92,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sK2(sK3(X0)))
| ~ environment(X0)
| ~ stable(X0)
| ~ greater(sK3(X0),appear(efficient_producers,sK1)) ),
inference(subsumption_resolution,[],[f91,f30]) ).
fof(f30,plain,
! [X1] :
( ~ greater(zero,growth_rate(first_movers,sK2(X1)))
| ~ greater(X1,appear(efficient_producers,sK1)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f91,plain,
! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sK2(sK3(X0)))
| ~ stable(X0)
| greater(zero,growth_rate(first_movers,sK2(sK3(X0))))
| ~ greater(sK3(X0),appear(efficient_producers,sK1)) ),
inference(resolution,[],[f85,f29]) ).
fof(f29,plain,
! [X1] :
( greater_or_equal(sK2(X1),X1)
| ~ greater(X1,appear(efficient_producers,sK1)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f85,plain,
! [X0,X1] :
( ~ greater_or_equal(X1,sK3(X0))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(subsumption_resolution,[],[f84,f45]) ).
fof(f45,plain,
! [X0,X1] :
( ~ greater_or_equal(X1,sK3(X0))
| ~ environment(X0)
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| subpopulations(first_movers,efficient_producers,X0,sK4(X0,sK0(X0)))
| greater(zero,growth_rate(first_movers,X1)) ),
inference(duplicate_literal_removal,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ stable(X0)
| ~ environment(X0)
| ~ greater_or_equal(X1,sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| subpopulations(first_movers,efficient_producers,X0,sK4(X0,sK0(X0)))
| greater(zero,growth_rate(first_movers,X1))
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[],[f23,f34]) ).
fof(f34,plain,
! [X2,X3,X0] :
( ~ in_environment(X0,X3)
| ~ greater_or_equal(X2,sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| subpopulations(first_movers,efficient_producers,X0,sK4(X0,X3))
| greater(zero,growth_rate(first_movers,X2))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ( ! [X2] :
( greater(zero,growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& greater(sK3(X0),appear(efficient_producers,X0)) )
| ! [X3] :
( ( ~ greater(zero,growth_rate(first_movers,sK4(X0,X3)))
& greater_or_equal(sK4(X0,X3),X3)
& subpopulations(first_movers,efficient_producers,X0,sK4(X0,X3)) )
| ~ in_environment(X0,X3) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f19,f21,f20]) ).
fof(f20,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(zero,growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& greater(X1,appear(efficient_producers,X0)) )
=> ( ! [X2] :
( greater(zero,growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& greater(sK3(X0),appear(efficient_producers,X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X3] :
( ? [X4] :
( ~ greater(zero,growth_rate(first_movers,X4))
& greater_or_equal(X4,X3)
& subpopulations(first_movers,efficient_producers,X0,X4) )
=> ( ~ greater(zero,growth_rate(first_movers,sK4(X0,X3)))
& greater_or_equal(sK4(X0,X3),X3)
& subpopulations(first_movers,efficient_producers,X0,sK4(X0,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(zero,growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& greater(X1,appear(efficient_producers,X0)) )
| ! [X3] :
( ? [X4] :
( ~ greater(zero,growth_rate(first_movers,X4))
& greater_or_equal(X4,X3)
& subpopulations(first_movers,efficient_producers,X0,X4) )
| ~ in_environment(X0,X3) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( greater(zero,growth_rate(first_movers,X4))
| ~ greater_or_equal(X4,X3)
| ~ subpopulations(first_movers,efficient_producers,X0,X4) )
& greater(X3,appear(efficient_producers,X0)) )
| ! [X1] :
( ? [X2] :
( ~ greater(zero,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,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( greater(zero,growth_rate(first_movers,X4))
| ~ greater_or_equal(X4,X3)
| ~ subpopulations(first_movers,efficient_producers,X0,X4) )
& greater(X3,appear(efficient_producers,X0)) )
| ! [X1] :
( ? [X2] :
( ~ greater(zero,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,[],[f7]) ).
fof(f7,plain,
! [X0] :
( ( ? [X1] :
( ! [X2] :
( ( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(zero,growth_rate(first_movers,X2)) )
& in_environment(X0,X1) )
& stable(X0)
& environment(X0) )
=> ? [X3] :
( ! [X4] :
( ( greater_or_equal(X4,X3)
& subpopulations(first_movers,efficient_producers,X0,X4) )
=> greater(zero,growth_rate(first_movers,X4)) )
& greater(X3,appear(efficient_producers,X0)) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ( ? [X1] :
( ! [X2] :
( ( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(zero,growth_rate(first_movers,X2)) )
& in_environment(X0,X1) )
& stable(X0)
& environment(X0) )
=> ? [X3] :
( ! [X2] :
( ( greater_or_equal(X2,X3)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(zero,growth_rate(first_movers,X2)) )
& greater(X3,appear(efficient_producers,X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.Wb2Dzd3Pzx/Vampire---4.8_12192',mp_first_movers_negative_growth) ).
fof(f23,plain,
! [X0] :
( in_environment(X0,sK0(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ( ! [X2] :
( ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) )
| ~ greater_or_equal(X2,sK0(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,sK0(X0)) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f14]) ).
fof(f14,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) )
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
=> ( ! [X2] :
( ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) )
| ~ greater_or_equal(X2,sK0(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) )
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) )
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( ! [X2] :
( ( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) ) )
& in_environment(X0,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X4] :
( ! [X2] :
( ( greater_or_equal(X2,X4)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) ) )
& in_environment(X0,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.Wb2Dzd3Pzx/Vampire---4.8_12192',l11) ).
fof(f84,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(X1,sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| greater(zero,growth_rate(first_movers,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,sK4(X0,sK0(X0))) ),
inference(subsumption_resolution,[],[f83,f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ greater_or_equal(X1,sK3(X0))
| ~ environment(X0)
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(zero,growth_rate(first_movers,sK4(X0,sK0(X0))))
| greater(zero,growth_rate(first_movers,X1)) ),
inference(duplicate_literal_removal,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ stable(X0)
| ~ environment(X0)
| ~ greater_or_equal(X1,sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(zero,growth_rate(first_movers,sK4(X0,sK0(X0))))
| greater(zero,growth_rate(first_movers,X1))
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[],[f23,f36]) ).
fof(f36,plain,
! [X2,X3,X0] :
( ~ in_environment(X0,X3)
| ~ greater_or_equal(X2,sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(zero,growth_rate(first_movers,sK4(X0,X3)))
| greater(zero,growth_rate(first_movers,X2))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f83,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(X1,sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(first_movers,sK4(X0,sK0(X0))))
| ~ subpopulations(first_movers,efficient_producers,X0,sK4(X0,sK0(X0))) ),
inference(duplicate_literal_removal,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(X1,sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(first_movers,sK4(X0,sK0(X0))))
| ~ subpopulations(first_movers,efficient_producers,X0,sK4(X0,sK0(X0)))
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[],[f44,f25]) ).
fof(f25,plain,
! [X2,X0] :
( ~ greater_or_equal(X2,sK0(X0))
| greater(zero,growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f44,plain,
! [X0,X1] :
( greater_or_equal(sK4(X0,sK0(X0)),sK0(X0))
| ~ environment(X0)
| ~ greater_or_equal(X1,sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(duplicate_literal_removal,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ stable(X0)
| ~ environment(X0)
| ~ greater_or_equal(X1,sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater_or_equal(sK4(X0,sK0(X0)),sK0(X0))
| greater(zero,growth_rate(first_movers,X1))
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[],[f23,f35]) ).
fof(f35,plain,
! [X2,X3,X0] :
( ~ in_environment(X0,X3)
| ~ greater_or_equal(X2,sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater_or_equal(sK4(X0,X3),X3)
| greater(zero,growth_rate(first_movers,X2))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f76,plain,
spl5_1,
inference(avatar_split_clause,[],[f75,f66]) ).
fof(f75,plain,
greater(sK3(sK1),appear(efficient_producers,sK1)),
inference(subsumption_resolution,[],[f74,f26]) ).
fof(f74,plain,
( ~ environment(sK1)
| greater(sK3(sK1),appear(efficient_producers,sK1)) ),
inference(resolution,[],[f58,f27]) ).
fof(f58,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| greater(sK3(X0),appear(efficient_producers,X0)) ),
inference(subsumption_resolution,[],[f57,f48]) ).
fof(f48,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,sK4(X0,sK0(X0)))
| ~ environment(X0)
| ~ stable(X0)
| greater(sK3(X0),appear(efficient_producers,X0)) ),
inference(duplicate_literal_removal,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,sK4(X0,sK0(X0)))
| greater(sK3(X0),appear(efficient_producers,X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[],[f23,f31]) ).
fof(f31,plain,
! [X3,X0] :
( ~ in_environment(X0,X3)
| subpopulations(first_movers,efficient_producers,X0,sK4(X0,X3))
| greater(sK3(X0),appear(efficient_producers,X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f57,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sK4(X0,sK0(X0)))
| ~ stable(X0)
| ~ environment(X0)
| greater(sK3(X0),appear(efficient_producers,X0)) ),
inference(subsumption_resolution,[],[f55,f46]) ).
fof(f46,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| ~ greater(zero,growth_rate(first_movers,sK4(X0,sK0(X0))))
| greater(sK3(X0),appear(efficient_producers,X0)) ),
inference(duplicate_literal_removal,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| ~ greater(zero,growth_rate(first_movers,sK4(X0,sK0(X0))))
| greater(sK3(X0),appear(efficient_producers,X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[],[f23,f33]) ).
fof(f33,plain,
! [X3,X0] :
( ~ in_environment(X0,X3)
| ~ greater(zero,growth_rate(first_movers,sK4(X0,X3)))
| greater(sK3(X0),appear(efficient_producers,X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f55,plain,
! [X0] :
( greater(zero,growth_rate(first_movers,sK4(X0,sK0(X0))))
| ~ subpopulations(first_movers,efficient_producers,X0,sK4(X0,sK0(X0)))
| ~ stable(X0)
| ~ environment(X0)
| greater(sK3(X0),appear(efficient_producers,X0)) ),
inference(duplicate_literal_removal,[],[f54]) ).
fof(f54,plain,
! [X0] :
( greater(zero,growth_rate(first_movers,sK4(X0,sK0(X0))))
| ~ subpopulations(first_movers,efficient_producers,X0,sK4(X0,sK0(X0)))
| ~ stable(X0)
| ~ environment(X0)
| ~ environment(X0)
| ~ stable(X0)
| greater(sK3(X0),appear(efficient_producers,X0)) ),
inference(resolution,[],[f25,f47]) ).
fof(f47,plain,
! [X0] :
( greater_or_equal(sK4(X0,sK0(X0)),sK0(X0))
| ~ environment(X0)
| ~ stable(X0)
| greater(sK3(X0),appear(efficient_producers,X0)) ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| greater_or_equal(sK4(X0,sK0(X0)),sK0(X0))
| greater(sK3(X0),appear(efficient_producers,X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[],[f23,f32]) ).
fof(f32,plain,
! [X3,X0] :
( ~ in_environment(X0,X3)
| greater_or_equal(sK4(X0,X3),X3)
| greater(sK3(X0),appear(efficient_producers,X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MGT028+1 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.15 % 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 : n002.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 20:03:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.21/0.36 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.Wb2Dzd3Pzx/Vampire---4.8_12192
% 0.56/0.75 % (12561)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)
% 0.56/0.75 % (12563)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (12562)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)
% 0.56/0.75 % (12565)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)
% 0.56/0.75 % (12564)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)
% 0.56/0.75 % (12567)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)
% 0.56/0.75 % (12569)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)
% 0.56/0.75 % (12568)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)
% 0.56/0.75 % (12569)First to succeed.
% 0.56/0.75 % (12568)Also succeeded, but the first one will report.
% 0.56/0.75 % (12567)Also succeeded, but the first one will report.
% 0.56/0.75 % (12563)Also succeeded, but the first one will report.
% 0.56/0.75 % (12562)Also succeeded, but the first one will report.
% 0.56/0.75 % (12561)Also succeeded, but the first one will report.
% 0.56/0.75 % (12564)Also succeeded, but the first one will report.
% 0.56/0.75 % (12569)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12444"
% 0.56/0.75 % (12565)Also succeeded, but the first one will report.
% 0.56/0.75 % (12569)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (12569)------------------------------
% 0.56/0.75 % (12569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (12569)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (12569)Memory used [KB]: 1052
% 0.56/0.75 % (12569)Time elapsed: 0.006 s
% 0.56/0.75 % (12569)Instructions burned: 7 (million)
% 0.56/0.75 % (12444)Success in time 0.383 s
% 0.56/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------