TSTP Solution File: MGT023+2 by Vampire---4.8
View Problem
- 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.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 : Wed May 1 03:21:51 EDT 2024
% Result : Theorem 0.46s 0.64s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 83 ( 5 unt; 0 def)
% Number of atoms : 356 ( 18 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 443 ( 170 ~; 177 |; 74 &)
% ( 5 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 6 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 106 ( 82 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f102,plain,
$false,
inference(avatar_sat_refutation,[],[f57,f71,f75,f89,f93,f98]) ).
fof(f98,plain,
( spl6_1
| ~ spl6_5 ),
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f97,plain,
( $false
| spl6_1
| ~ spl6_5 ),
inference(subsumption_resolution,[],[f94,f36]) ).
fof(f36,plain,
~ in_environment(sK3,critical_point(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/sandbox2/tmp/tmp.empbvjBGv4/Vampire---4.8_17754',prove_l5) ).
fof(f94,plain,
( in_environment(sK3,critical_point(sK3))
| spl6_1
| ~ spl6_5 ),
inference(backward_demodulation,[],[f79,f88]) ).
fof(f88,plain,
( critical_point(sK3) = sK5(sK3)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl6_5
<=> critical_point(sK3) = sK5(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f79,plain,
( in_environment(sK3,sK5(sK3))
| spl6_1 ),
inference(subsumption_resolution,[],[f77,f34]) ).
fof(f34,plain,
environment(sK3),
inference(cnf_transformation,[],[f22]) ).
fof(f77,plain,
( in_environment(sK3,sK5(sK3))
| ~ environment(sK3)
| spl6_1 ),
inference(resolution,[],[f52,f40]) ).
fof(f40,plain,
! [X0] :
( sP0(X0)
| in_environment(X0,sK5(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(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(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/sandbox2/tmp/tmp.empbvjBGv4/Vampire---4.8_17754',mp_earliest_time_growth_rate_exceeds) ).
fof(f52,plain,
( ~ sP0(sK3)
| spl6_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl6_1
<=> sP0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f93,plain,
( spl6_1
| ~ spl6_3 ),
inference(avatar_contradiction_clause,[],[f92]) ).
fof(f92,plain,
( $false
| spl6_1
| ~ spl6_3 ),
inference(subsumption_resolution,[],[f91,f34]) ).
fof(f91,plain,
( ~ environment(sK3)
| spl6_1
| ~ spl6_3 ),
inference(subsumption_resolution,[],[f90,f52]) ).
fof(f90,plain,
( sP0(sK3)
| ~ environment(sK3)
| ~ spl6_3 ),
inference(resolution,[],[f67,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(f67,plain,
( greater(growth_rate(efficient_producers,sK5(sK3)),growth_rate(first_movers,sK5(sK3)))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl6_3
<=> greater(growth_rate(efficient_producers,sK5(sK3)),growth_rate(first_movers,sK5(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f89,plain,
( spl6_3
| spl6_5
| spl6_1
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f84,f69,f50,f86,f65]) ).
fof(f69,plain,
( spl6_4
<=> ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK3,sK1(X0,sK5(sK3)))
| ~ environment(X0)
| ~ in_environment(X0,sK5(sK3))
| critical_point(X0) = sK5(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f84,plain,
( critical_point(sK3) = sK5(sK3)
| greater(growth_rate(efficient_producers,sK5(sK3)),growth_rate(first_movers,sK5(sK3)))
| spl6_1
| ~ spl6_4 ),
inference(subsumption_resolution,[],[f83,f79]) ).
fof(f83,plain,
( ~ in_environment(sK3,sK5(sK3))
| critical_point(sK3) = sK5(sK3)
| greater(growth_rate(efficient_producers,sK5(sK3)),growth_rate(first_movers,sK5(sK3)))
| ~ spl6_4 ),
inference(subsumption_resolution,[],[f82,f34]) ).
fof(f82,plain,
( ~ environment(sK3)
| ~ in_environment(sK3,sK5(sK3))
| critical_point(sK3) = sK5(sK3)
| greater(growth_rate(efficient_producers,sK5(sK3)),growth_rate(first_movers,sK5(sK3)))
| ~ spl6_4 ),
inference(duplicate_literal_removal,[],[f81]) ).
fof(f81,plain,
( ~ environment(sK3)
| ~ in_environment(sK3,sK5(sK3))
| critical_point(sK3) = sK5(sK3)
| critical_point(sK3) = sK5(sK3)
| ~ in_environment(sK3,sK5(sK3))
| greater(growth_rate(efficient_producers,sK5(sK3)),growth_rate(first_movers,sK5(sK3)))
| ~ environment(sK3)
| ~ spl6_4 ),
inference(resolution,[],[f70,f29]) ).
fof(f29,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,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(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/sandbox2/tmp/tmp.empbvjBGv4/Vampire---4.8_17754',d1) ).
fof(f70,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK3,sK1(X0,sK5(sK3)))
| ~ environment(X0)
| ~ in_environment(X0,sK5(sK3))
| critical_point(X0) = sK5(sK3) )
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f75,plain,
spl6_2,
inference(avatar_contradiction_clause,[],[f74]) ).
fof(f74,plain,
( $false
| spl6_2 ),
inference(subsumption_resolution,[],[f73,f34]) ).
fof(f73,plain,
( ~ environment(sK3)
| spl6_2 ),
inference(subsumption_resolution,[],[f72,f35]) ).
fof(f35,plain,
stable(sK3),
inference(cnf_transformation,[],[f22]) ).
fof(f72,plain,
( ~ stable(sK3)
| ~ environment(sK3)
| spl6_2 ),
inference(resolution,[],[f56,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/sandbox2/tmp/tmp.empbvjBGv4/Vampire---4.8_17754',l1) ).
fof(f56,plain,
( ~ in_environment(sK3,sK2(sK3))
| spl6_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl6_2
<=> in_environment(sK3,sK2(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f71,plain,
( spl6_3
| spl6_4
| spl6_1 ),
inference(avatar_split_clause,[],[f63,f50,f69,f65]) ).
fof(f63,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK3,sK1(X0,sK5(sK3)))
| critical_point(X0) = sK5(sK3)
| ~ in_environment(X0,sK5(sK3))
| greater(growth_rate(efficient_producers,sK5(sK3)),growth_rate(first_movers,sK5(sK3)))
| ~ environment(X0) )
| spl6_1 ),
inference(subsumption_resolution,[],[f62,f31]) ).
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(f62,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK3,sK1(X0,sK5(sK3)))
| greater(growth_rate(efficient_producers,sK1(X0,sK5(sK3))),growth_rate(first_movers,sK1(X0,sK5(sK3))))
| critical_point(X0) = sK5(sK3)
| ~ in_environment(X0,sK5(sK3))
| greater(growth_rate(efficient_producers,sK5(sK3)),growth_rate(first_movers,sK5(sK3)))
| ~ environment(X0) )
| spl6_1 ),
inference(resolution,[],[f60,f30]) ).
fof(f30,plain,
! [X0,X1] :
( greater(sK1(X0,X1),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(f60,plain,
( ! [X0] :
( ~ greater(X0,sK5(sK3))
| ~ subpopulations(first_movers,efficient_producers,sK3,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) )
| spl6_1 ),
inference(subsumption_resolution,[],[f58,f34]) ).
fof(f58,plain,
( ! [X0] :
( ~ greater(X0,sK5(sK3))
| ~ subpopulations(first_movers,efficient_producers,sK3,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ environment(sK3) )
| spl6_1 ),
inference(resolution,[],[f52,f42]) ).
fof(f42,plain,
! [X2,X0] :
( sP0(X0)
| ~ greater(X2,sK5(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f57,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f48,f54,f50]) ).
fof(f48,plain,
( ~ in_environment(sK3,sK2(sK3))
| ~ sP0(sK3) ),
inference(duplicate_literal_removal,[],[f47]) ).
fof(f47,plain,
( ~ in_environment(sK3,sK2(sK3))
| ~ sP0(sK3)
| ~ in_environment(sK3,sK2(sK3))
| ~ sP0(sK3) ),
inference(resolution,[],[f46,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(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(f46,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK3,sK4(X0,sK2(sK3)))
| ~ in_environment(X0,sK2(sK3))
| ~ sP0(X0) ),
inference(subsumption_resolution,[],[f45,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(f45,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK3,sK4(X0,sK2(sK3)))
| greater(growth_rate(efficient_producers,sK4(X0,sK2(sK3))),growth_rate(first_movers,sK4(X0,sK2(sK3))))
| ~ in_environment(X0,sK2(sK3))
| ~ sP0(X0) ),
inference(resolution,[],[f44,f38]) ).
fof(f38,plain,
! [X0,X1] :
( greater_or_equal(sK4(X0,X1),X1)
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f44,plain,
! [X0] :
( ~ greater_or_equal(X0,sK2(sK3))
| ~ subpopulations(first_movers,efficient_producers,sK3,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(subsumption_resolution,[],[f43,f34]) ).
fof(f43,plain,
! [X0] :
( ~ greater_or_equal(X0,sK2(sK3))
| ~ subpopulations(first_movers,efficient_producers,sK3,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ environment(sK3) ),
inference(resolution,[],[f33,f35]) ).
fof(f33,plain,
! [X2,X0] :
( ~ stable(X0)
| ~ greater_or_equal(X2,sK2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : MGT023+2 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue Apr 30 18:16:06 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.28 This is a FOF_THM_RFO_SEQ problem
% 0.08/0.28 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.empbvjBGv4/Vampire---4.8_17754
% 0.46/0.63 % (17956)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)
% 0.46/0.63 % (17955)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.46/0.63 % (17960)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)
% 0.46/0.63 % (17954)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)
% 0.46/0.63 % (17960)Refutation not found, incomplete strategy% (17960)------------------------------
% 0.46/0.63 % (17960)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.63 % (17957)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)
% 0.46/0.63 % (17960)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.63
% 0.46/0.63 % (17960)Memory used [KB]: 973
% 0.46/0.63 % (17960)Time elapsed: 0.002 s
% 0.46/0.63 % (17960)Instructions burned: 3 (million)
% 0.46/0.63 % (17960)------------------------------
% 0.46/0.63 % (17960)------------------------------
% 0.46/0.63 % (17958)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)
% 0.46/0.63 % (17953)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)
% 0.46/0.63 % (17959)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)
% 0.46/0.63 % (17956)Refutation not found, incomplete strategy% (17956)------------------------------
% 0.46/0.63 % (17956)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.63 % (17956)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.63
% 0.46/0.63 % (17956)Memory used [KB]: 1041
% 0.46/0.63 % (17956)Time elapsed: 0.003 s
% 0.46/0.63 % (17956)Instructions burned: 4 (million)
% 0.46/0.63 % (17956)------------------------------
% 0.46/0.63 % (17956)------------------------------
% 0.46/0.63 % (17955)First to succeed.
% 0.46/0.63 % (17957)Refutation not found, incomplete strategy% (17957)------------------------------
% 0.46/0.63 % (17957)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.63 % (17957)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.63
% 0.46/0.63 % (17957)Memory used [KB]: 977
% 0.46/0.63 % (17957)Time elapsed: 0.004 s
% 0.46/0.63 % (17957)Instructions burned: 3 (million)
% 0.46/0.63 % (17957)------------------------------
% 0.46/0.63 % (17957)------------------------------
% 0.46/0.64 % (17953)Refutation not found, incomplete strategy% (17953)------------------------------
% 0.46/0.64 % (17953)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.64 % (17955)Refutation found. Thanks to Tanya!
% 0.46/0.64 % SZS status Theorem for Vampire---4
% 0.46/0.64 % SZS output start Proof for Vampire---4
% See solution above
% 0.46/0.64 % (17955)------------------------------
% 0.46/0.64 % (17955)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.64 % (17955)Termination reason: Refutation
% 0.46/0.64
% 0.46/0.64 % (17955)Memory used [KB]: 1064
% 0.46/0.64 % (17955)Time elapsed: 0.004 s
% 0.46/0.64 % (17955)Instructions burned: 8 (million)
% 0.46/0.64 % (17955)------------------------------
% 0.46/0.64 % (17955)------------------------------
% 0.46/0.64 % (17921)Success in time 0.351 s
% 0.46/0.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------