TSTP Solution File: MGT034+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT034+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 : n020.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 03:21:56 EDT 2024
% Result : Theorem 0.65s 0.82s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 33
% Syntax : Number of formulae : 190 ( 11 unt; 0 def)
% Number of atoms : 618 ( 17 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 755 ( 327 ~; 293 |; 83 &)
% ( 21 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 16 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 212 ( 206 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f452,plain,
$false,
inference(avatar_sat_refutation,[],[f160,f186,f196,f199,f233,f253,f268,f297,f353,f379,f399,f406,f417,f438,f439,f446]) ).
fof(f446,plain,
~ spl2_28,
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f445,plain,
( $false
| ~ spl2_28 ),
inference(subsumption_resolution,[],[f444,f83]) ).
fof(f83,plain,
environment(sK0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ~ selection_favors(first_movers,efficient_producers,sK1)
& greater(critical_point(sK0),sK1)
& greater_or_equal(sK1,appear(efficient_producers,sK0))
& in_environment(sK0,critical_point(sK0))
& environment(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f46,f73]) ).
fof(f73,plain,
( ? [X0,X1] :
( ~ selection_favors(first_movers,efficient_producers,X1)
& greater(critical_point(X0),X1)
& greater_or_equal(X1,appear(efficient_producers,X0))
& in_environment(X0,critical_point(X0))
& environment(X0) )
=> ( ~ selection_favors(first_movers,efficient_producers,sK1)
& greater(critical_point(sK0),sK1)
& greater_or_equal(sK1,appear(efficient_producers,sK0))
& in_environment(sK0,critical_point(sK0))
& environment(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0,X1] :
( ~ selection_favors(first_movers,efficient_producers,X1)
& greater(critical_point(X0),X1)
& greater_or_equal(X1,appear(efficient_producers,X0))
& in_environment(X0,critical_point(X0))
& environment(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
? [X0,X1] :
( ~ selection_favors(first_movers,efficient_producers,X1)
& greater(critical_point(X0),X1)
& greater_or_equal(X1,appear(efficient_producers,X0))
& in_environment(X0,critical_point(X0))
& environment(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
~ ! [X0,X1] :
( ( greater(critical_point(X0),X1)
& greater_or_equal(X1,appear(efficient_producers,X0))
& in_environment(X0,critical_point(X0))
& environment(X0) )
=> selection_favors(first_movers,efficient_producers,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X0,X3] :
( ( greater(critical_point(X0),X3)
& greater_or_equal(X3,appear(efficient_producers,X0))
& in_environment(X0,critical_point(X0))
& environment(X0) )
=> selection_favors(first_movers,efficient_producers,X3) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X0,X3] :
( ( greater(critical_point(X0),X3)
& greater_or_equal(X3,appear(efficient_producers,X0))
& in_environment(X0,critical_point(X0))
& environment(X0) )
=> selection_favors(first_movers,efficient_producers,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',prove_t3) ).
fof(f444,plain,
( ~ environment(sK0)
| ~ spl2_28 ),
inference(subsumption_resolution,[],[f441,f84]) ).
fof(f84,plain,
in_environment(sK0,critical_point(sK0)),
inference(cnf_transformation,[],[f74]) ).
fof(f441,plain,
( ~ in_environment(sK0,critical_point(sK0))
| ~ environment(sK0)
| ~ spl2_28 ),
inference(resolution,[],[f440,f101]) ).
fof(f101,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
| ~ in_environment(X0,critical_point(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
| ~ in_environment(X0,critical_point(X0))
| ~ environment(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
| ~ in_environment(X0,critical_point(X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ( in_environment(X0,critical_point(X0))
& environment(X0) )
=> subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',mp_critical_point_means_FM_and_EP) ).
fof(f440,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0))
| ~ spl2_28 ),
inference(resolution,[],[f334,f83]) ).
fof(f334,plain,
( ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,critical_point(sK0)) )
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f333,plain,
( spl2_28
<=> ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,critical_point(sK0))
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).
fof(f439,plain,
( spl2_28
| spl2_29
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f432,f227,f336,f333]) ).
fof(f336,plain,
( spl2_29
<=> greater(zero,difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).
fof(f227,plain,
( spl2_15
<=> ! [X0,X1] :
( ~ greater(X0,sK1)
| ~ environment(X1)
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater_or_equal(sK1,appear(efficient_producers,X1))
| ~ in_environment(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f432,plain,
( ! [X0] :
( greater(zero,difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))))
| ~ subpopulations(first_movers,efficient_producers,X0,critical_point(sK0))
| ~ environment(X0) )
| ~ spl2_15 ),
inference(resolution,[],[f431,f91]) ).
fof(f91,plain,
! [X0,X1] :
( greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X3] :
( ( ~ greater(zero,difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)))
& subpopulations(first_movers,efficient_producers,X0,X3)
& environment(X0) )
=> greater_or_equal(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',mp_relationship_of_growth_rates) ).
fof(f431,plain,
( ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero)
| ~ spl2_15 ),
inference(subsumption_resolution,[],[f430,f84]) ).
fof(f430,plain,
( ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero)
| ~ in_environment(sK0,critical_point(sK0))
| ~ spl2_15 ),
inference(resolution,[],[f428,f86]) ).
fof(f86,plain,
greater(critical_point(sK0),sK1),
inference(cnf_transformation,[],[f74]) ).
fof(f428,plain,
( ! [X0] :
( ~ greater(X0,sK1)
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ in_environment(sK0,X0) )
| ~ spl2_15 ),
inference(subsumption_resolution,[],[f427,f85]) ).
fof(f85,plain,
greater_or_equal(sK1,appear(efficient_producers,sK0)),
inference(cnf_transformation,[],[f74]) ).
fof(f427,plain,
( ! [X0] :
( ~ greater(X0,sK1)
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater_or_equal(sK1,appear(efficient_producers,sK0))
| ~ in_environment(sK0,X0) )
| ~ spl2_15 ),
inference(resolution,[],[f228,f83]) ).
fof(f228,plain,
( ! [X0,X1] :
( ~ environment(X1)
| ~ greater(X0,sK1)
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater_or_equal(sK1,appear(efficient_producers,X1))
| ~ in_environment(X1,X0) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f438,plain,
~ spl2_29,
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f437,plain,
( $false
| ~ spl2_29 ),
inference(subsumption_resolution,[],[f436,f83]) ).
fof(f436,plain,
( ~ environment(sK0)
| ~ spl2_29 ),
inference(resolution,[],[f338,f113]) ).
fof(f113,plain,
! [X0] :
( ~ greater(zero,difference(growth_rate(first_movers,critical_point(X0)),growth_rate(efficient_producers,critical_point(X0))))
| ~ environment(X0) ),
inference(resolution,[],[f94,f110]) ).
fof(f110,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0)))
| ~ environment(X0) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,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)) )
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,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)) )
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( critical_point(X0) = X1
& environment(X0) )
=> ( ! [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)) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X9] :
( ( critical_point(X0) = X9
& environment(X0) )
=> ( ! [X3] :
( ( greater(X3,X9)
& subpopulations(first_movers,efficient_producers,X0,X3) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) )
& ~ greater(growth_rate(efficient_producers,X9),growth_rate(first_movers,X9)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',d1) ).
fof(f94,plain,
! [X0] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) )
& ( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
<=> greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X3] :
( greater(zero,difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)))
<=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',mp_negative_growth_rate_difference) ).
fof(f338,plain,
( greater(zero,difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))))
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f417,plain,
~ spl2_22,
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f416,plain,
( $false
| ~ spl2_22 ),
inference(subsumption_resolution,[],[f415,f83]) ).
fof(f415,plain,
( ~ environment(sK0)
| ~ spl2_22 ),
inference(subsumption_resolution,[],[f412,f84]) ).
fof(f412,plain,
( ~ in_environment(sK0,critical_point(sK0))
| ~ environment(sK0)
| ~ spl2_22 ),
inference(resolution,[],[f411,f101]) ).
fof(f411,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0))
| ~ spl2_22 ),
inference(resolution,[],[f409,f86]) ).
fof(f409,plain,
( ! [X0] :
( ~ greater(X0,sK1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0) )
| ~ spl2_22 ),
inference(resolution,[],[f267,f89]) ).
fof(f89,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( greater_or_equal(X0,X1)
| ( X0 != X1
& ~ greater(X0,X1) ) )
& ( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( greater_or_equal(X0,X1)
| ( X0 != X1
& ~ greater(X0,X1) ) )
& ( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X7,X8] :
( greater_or_equal(X7,X8)
<=> ( X7 = X8
| greater(X7,X8) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',mp_greater_or_equal) ).
fof(f267,plain,
( ! [X0] :
( ~ greater_or_equal(X0,sK1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0) )
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl2_22
<=> ! [X0] :
( ~ greater_or_equal(X0,sK1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).
fof(f406,plain,
( spl2_21
| spl2_22
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f405,f285,f266,f263]) ).
fof(f263,plain,
( spl2_21
<=> ! [X1] :
( ~ greater_or_equal(sK1,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).
fof(f285,plain,
( spl2_26
<=> ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sK1)
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).
fof(f405,plain,
( ! [X0,X1] :
( ~ greater_or_equal(X0,sK1)
| ~ greater_or_equal(sK1,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1) )
| ~ spl2_26 ),
inference(subsumption_resolution,[],[f370,f83]) ).
fof(f370,plain,
( ! [X0,X1] :
( ~ greater_or_equal(X0,sK1)
| ~ greater_or_equal(sK1,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ environment(sK0) )
| ~ spl2_26 ),
inference(resolution,[],[f369,f81]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X3)
| ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( subpopulations(first_movers,efficient_producers,X0,X3)
| ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( subpopulations(first_movers,efficient_producers,X0,X3)
| ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ( greater_or_equal(X2,X3)
& greater_or_equal(X3,X1)
& subpopulations(first_movers,efficient_producers,X0,X2)
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> subpopulations(first_movers,efficient_producers,X0,X3) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X5,X6,X3] :
( ( greater_or_equal(X6,X3)
& greater_or_equal(X3,X5)
& subpopulations(first_movers,efficient_producers,X0,X6)
& subpopulations(first_movers,efficient_producers,X0,X5)
& environment(X0) )
=> subpopulations(first_movers,efficient_producers,X0,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',a10) ).
fof(f369,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ spl2_26 ),
inference(resolution,[],[f286,f83]) ).
fof(f286,plain,
( ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sK1) )
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f399,plain,
( spl2_1
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f398,plain,
( $false
| spl2_1
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f397,f83]) ).
fof(f397,plain,
( ~ environment(sK0)
| spl2_1
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f394,f84]) ).
fof(f394,plain,
( ~ in_environment(sK0,critical_point(sK0))
| ~ environment(sK0)
| spl2_1
| ~ spl2_5 ),
inference(resolution,[],[f385,f101]) ).
fof(f385,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0))
| spl2_1
| ~ spl2_5 ),
inference(forward_demodulation,[],[f122,f150]) ).
fof(f150,plain,
( critical_point(sK0) = appear(efficient_producers,sK0)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl2_5
<=> critical_point(sK0) = appear(efficient_producers,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f122,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0))
| spl2_1 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl2_1
<=> subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f379,plain,
( ~ spl2_1
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f373,f263,f121]) ).
fof(f373,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0))
| ~ spl2_21 ),
inference(resolution,[],[f264,f85]) ).
fof(f264,plain,
( ! [X1] :
( ~ greater_or_equal(sK1,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1) )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f353,plain,
( spl2_26
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f352,f250,f285]) ).
fof(f250,plain,
( spl2_20
<=> decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).
fof(f352,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sK1)
| ~ environment(X0) )
| ~ spl2_20 ),
inference(resolution,[],[f252,f102]) ).
fof(f102,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X3] :
( ( subpopulations(first_movers,efficient_producers,X0,X3)
& environment(X0) )
=> ~ decreases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',l3) ).
fof(f252,plain,
( decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f297,plain,
( spl2_21
| spl2_22
| spl2_12 ),
inference(avatar_split_clause,[],[f296,f193,f266,f263]) ).
fof(f193,plain,
( spl2_12
<=> subpopulations(efficient_producers,first_movers,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f296,plain,
( ! [X0,X1] :
( ~ greater_or_equal(X0,sK1)
| ~ greater_or_equal(sK1,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1) )
| spl2_12 ),
inference(subsumption_resolution,[],[f294,f83]) ).
fof(f294,plain,
( ! [X0,X1] :
( ~ greater_or_equal(X0,sK1)
| ~ greater_or_equal(sK1,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ environment(sK0) )
| spl2_12 ),
inference(resolution,[],[f293,f81]) ).
fof(f293,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
| spl2_12 ),
inference(subsumption_resolution,[],[f292,f83]) ).
fof(f292,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ environment(sK0)
| spl2_12 ),
inference(resolution,[],[f195,f99]) ).
fof(f99,plain,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> subpopulations(efficient_producers,first_movers,X0,X1) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X3] :
( ( subpopulations(first_movers,efficient_producers,X0,X3)
& environment(X0) )
=> subpopulations(efficient_producers,first_movers,X0,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',mp_symmetry_of_subpopulations) ).
fof(f195,plain,
( ~ subpopulations(efficient_producers,first_movers,sK0,sK1)
| spl2_12 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f268,plain,
( spl2_21
| spl2_22
| spl2_19 ),
inference(avatar_split_clause,[],[f261,f246,f266,f263]) ).
fof(f246,plain,
( spl2_19
<=> decreases(difference(founding_rate(first_movers,sK1),founding_rate(efficient_producers,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).
fof(f261,plain,
( ! [X0,X1] :
( ~ greater_or_equal(X0,sK1)
| ~ greater_or_equal(sK1,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1) )
| spl2_19 ),
inference(subsumption_resolution,[],[f259,f83]) ).
fof(f259,plain,
( ! [X0,X1] :
( ~ greater_or_equal(X0,sK1)
| ~ greater_or_equal(sK1,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ environment(sK0) )
| spl2_19 ),
inference(resolution,[],[f258,f81]) ).
fof(f258,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
| spl2_19 ),
inference(resolution,[],[f255,f83]) ).
fof(f255,plain,
( ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sK1) )
| spl2_19 ),
inference(resolution,[],[f248,f82]) ).
fof(f82,plain,
! [X0,X1] :
( decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0,X3] :
( ( subpopulations(first_movers,efficient_producers,X0,X3)
& environment(X0) )
=> decreases(difference(founding_rate(first_movers,X3),founding_rate(efficient_producers,X3))) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',a12) ).
fof(f248,plain,
( ~ decreases(difference(founding_rate(first_movers,sK1),founding_rate(efficient_producers,sK1)))
| spl2_19 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f253,plain,
( ~ spl2_19
| spl2_20
| spl2_16 ),
inference(avatar_split_clause,[],[f244,f230,f250,f246]) ).
fof(f230,plain,
( spl2_16
<=> decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f244,plain,
( decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| ~ decreases(difference(founding_rate(first_movers,sK1),founding_rate(efficient_producers,sK1)))
| spl2_16 ),
inference(resolution,[],[f232,f97]) ).
fof(f97,plain,
! [X0] :
( decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
& decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) )
=> decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X3] :
( ( ~ decreases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)))
& decreases(difference(founding_rate(first_movers,X3),founding_rate(efficient_producers,X3))) )
=> decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',mp_difference_between_founding_rates) ).
fof(f232,plain,
( ~ decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)))
| spl2_16 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,plain,
( spl2_15
| ~ spl2_16
| spl2_11 ),
inference(avatar_split_clause,[],[f223,f189,f230,f227]) ).
fof(f189,plain,
( spl2_11
<=> greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f223,plain,
( ! [X0,X1] :
( ~ decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)))
| ~ greater(X0,sK1)
| ~ greater_or_equal(sK1,appear(efficient_producers,X1))
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ in_environment(X1,X0)
| ~ environment(X1) )
| spl2_11 ),
inference(resolution,[],[f202,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater(X2,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ in_environment(X0,X2)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater(X2,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ in_environment(X0,X2)
| ~ environment(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater(X2,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ in_environment(X0,X2)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( greater(X2,X1)
& greater_or_equal(X1,appear(efficient_producers,X0))
& greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
& in_environment(X0,X2)
& environment(X0) )
=> ( decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
=> greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X3,X4] :
( ( greater(X4,X3)
& greater_or_equal(X3,appear(efficient_producers,X0))
& greater_or_equal(difference(growth_rate(first_movers,X4),growth_rate(efficient_producers,X4)),zero)
& in_environment(X0,X4)
& environment(X0) )
=> ( decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)))
=> greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',mp_decreasing_function) ).
fof(f202,plain,
( ~ greater(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)),zero)
| spl2_11 ),
inference(resolution,[],[f191,f92]) ).
fof(f92,plain,
! [X0] :
( greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
| ~ greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) )
& ( greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
| ~ greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
<=> greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X3] :
( greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero)
<=> greater(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',mp_positive_growth_rate_difference) ).
fof(f191,plain,
( ~ greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1))
| spl2_11 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f199,plain,
( spl2_5
| ~ spl2_4
| spl2_10 ),
inference(avatar_split_clause,[],[f198,f183,f144,f148]) ).
fof(f144,plain,
( spl2_4
<=> greater_or_equal(critical_point(sK0),appear(efficient_producers,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f183,plain,
( spl2_10
<=> greater(critical_point(sK0),appear(efficient_producers,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f198,plain,
( critical_point(sK0) = appear(efficient_producers,sK0)
| ~ spl2_4
| spl2_10 ),
inference(subsumption_resolution,[],[f197,f145]) ).
fof(f145,plain,
( greater_or_equal(critical_point(sK0),appear(efficient_producers,sK0))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f197,plain,
( critical_point(sK0) = appear(efficient_producers,sK0)
| ~ greater_or_equal(critical_point(sK0),appear(efficient_producers,sK0))
| spl2_10 ),
inference(resolution,[],[f185,f88]) ).
fof(f88,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f185,plain,
( ~ greater(critical_point(sK0),appear(efficient_producers,sK0))
| spl2_10 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f196,plain,
( ~ spl2_11
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f187,f193,f189]) ).
fof(f187,plain,
( ~ subpopulations(efficient_producers,first_movers,sK0,sK1)
| ~ greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)) ),
inference(resolution,[],[f131,f87]) ).
fof(f87,plain,
~ selection_favors(first_movers,efficient_producers,sK1),
inference(cnf_transformation,[],[f74]) ).
fof(f131,plain,
! [X2,X0,X1] :
( selection_favors(X0,X2,X1)
| ~ subpopulations(X2,X0,sK0,X1)
| ~ greater(growth_rate(X0,X1),growth_rate(X2,X1)) ),
inference(resolution,[],[f98,f83]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( ~ environment(X0)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| selection_favors(X2,X1,X3) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( selection_favors(X2,X1,X3)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( selection_favors(X2,X1,X3)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( greater(growth_rate(X2,X3),growth_rate(X1,X3))
& subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> selection_favors(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',mp1_high_growth_rates) ).
fof(f186,plain,
( spl2_1
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f181,f183,f121]) ).
fof(f181,plain,
( ~ greater(critical_point(sK0),appear(efficient_producers,sK0))
| subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f180,f83]) ).
fof(f180,plain,
( ~ greater(critical_point(sK0),appear(efficient_producers,sK0))
| subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0))
| ~ environment(sK0) ),
inference(subsumption_resolution,[],[f140,f111]) ).
fof(f111,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f140,plain,
( ~ greater_or_equal(appear(efficient_producers,sK0),appear(efficient_producers,sK0))
| ~ greater(critical_point(sK0),appear(efficient_producers,sK0))
| subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0))
| ~ environment(sK0) ),
inference(resolution,[],[f136,f106]) ).
fof(f106,plain,
! [X0] :
( ~ in_environment(X0,appear(efficient_producers,X0))
| subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
| ~ in_environment(X0,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
| ~ in_environment(X0,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( in_environment(X0,appear(efficient_producers,X0))
& environment(X0) )
=> subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',mp_FM_and_EP_when_EP_appears) ).
fof(f136,plain,
! [X0] :
( in_environment(sK0,X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sK0))
| ~ greater(critical_point(sK0),X0) ),
inference(subsumption_resolution,[],[f135,f84]) ).
fof(f135,plain,
! [X0] :
( ~ greater(critical_point(sK0),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sK0))
| ~ in_environment(sK0,critical_point(sK0))
| in_environment(sK0,X0) ),
inference(resolution,[],[f100,f83]) ).
fof(f100,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ greater(critical_point(X0),X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,critical_point(X0))
| in_environment(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ greater(critical_point(X0),X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,critical_point(X0))
| ~ environment(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ greater(critical_point(X0),X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,critical_point(X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( greater(critical_point(X0),X1)
& greater_or_equal(X1,appear(efficient_producers,X0))
& in_environment(X0,critical_point(X0))
& environment(X0) )
=> in_environment(X0,X1) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X3] :
( ( greater(critical_point(X0),X3)
& greater_or_equal(X3,appear(efficient_producers,X0))
& in_environment(X0,critical_point(X0))
& environment(X0) )
=> in_environment(X0,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',mp_critical_time_points) ).
fof(f160,plain,
spl2_4,
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f159,plain,
( $false
| spl2_4 ),
inference(subsumption_resolution,[],[f158,f83]) ).
fof(f158,plain,
( ~ environment(sK0)
| spl2_4 ),
inference(subsumption_resolution,[],[f155,f84]) ).
fof(f155,plain,
( ~ in_environment(sK0,critical_point(sK0))
| ~ environment(sK0)
| spl2_4 ),
inference(resolution,[],[f154,f101]) ).
fof(f154,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0))
| spl2_4 ),
inference(subsumption_resolution,[],[f152,f83]) ).
fof(f152,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0))
| ~ environment(sK0)
| spl2_4 ),
inference(resolution,[],[f146,f107]) ).
fof(f107,plain,
! [X0,X1] :
( greater_or_equal(X1,appear(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( greater_or_equal(X1,appear(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( greater_or_equal(X1,appear(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> greater_or_equal(X1,appear(efficient_producers,X0)) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X0,X3] :
( ( subpopulations(first_movers,efficient_producers,X0,X3)
& environment(X0) )
=> greater_or_equal(X3,appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.dSzHfsUb4u/Vampire---4.8_4136',mp_FM_and_EP_members_EP_appeared) ).
fof(f146,plain,
( ~ greater_or_equal(critical_point(sK0),appear(efficient_producers,sK0))
| spl2_4 ),
inference(avatar_component_clause,[],[f144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT034+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 18:07:02 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 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.dSzHfsUb4u/Vampire---4.8_4136
% 0.60/0.80 % (4370)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80 % (4374)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 (2995ds/56Mi)
% 0.60/0.80 % (4367)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 (2995ds/34Mi)
% 0.60/0.80 % (4368)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 (2995ds/51Mi)
% 0.60/0.80 % (4369)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80 % (4371)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 (2995ds/34Mi)
% 0.60/0.80 % (4372)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.81 % (4373)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 (2995ds/83Mi)
% 0.60/0.81 % (4370)Refutation not found, incomplete strategy% (4370)------------------------------
% 0.60/0.81 % (4370)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (4370)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (4370)Memory used [KB]: 1064
% 0.60/0.81 % (4370)Time elapsed: 0.004 s
% 0.60/0.81 % (4370)Instructions burned: 8 (million)
% 0.60/0.81 % (4370)------------------------------
% 0.60/0.81 % (4370)------------------------------
% 0.60/0.81 % (4376)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 (2995ds/55Mi)
% 0.60/0.81 % (4371)Refutation not found, incomplete strategy% (4371)------------------------------
% 0.60/0.81 % (4371)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (4371)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (4371)Memory used [KB]: 1077
% 0.60/0.81 % (4371)Time elapsed: 0.006 s
% 0.60/0.81 % (4371)Instructions burned: 8 (million)
% 0.60/0.81 % (4371)------------------------------
% 0.60/0.81 % (4371)------------------------------
% 0.60/0.81 % (4376)Refutation not found, incomplete strategy% (4376)------------------------------
% 0.60/0.81 % (4376)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (4376)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (4376)Memory used [KB]: 1117
% 0.60/0.81 % (4376)Time elapsed: 0.003 s
% 0.60/0.81 % (4376)Instructions burned: 7 (million)
% 0.60/0.81 % (4376)------------------------------
% 0.60/0.81 % (4376)------------------------------
% 0.65/0.81 % (4379)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.65/0.81 % (4377)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.65/0.82 % (4369)First to succeed.
% 0.65/0.82 % (4374)Instruction limit reached!
% 0.65/0.82 % (4374)------------------------------
% 0.65/0.82 % (4374)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (4374)Termination reason: Unknown
% 0.65/0.82 % (4374)Termination phase: Saturation
% 0.65/0.82
% 0.65/0.82 % (4374)Memory used [KB]: 1401
% 0.65/0.82 % (4374)Time elapsed: 0.018 s
% 0.65/0.82 % (4374)Instructions burned: 57 (million)
% 0.65/0.82 % (4374)------------------------------
% 0.65/0.82 % (4374)------------------------------
% 0.65/0.82 % (4369)Refutation found. Thanks to Tanya!
% 0.65/0.82 % SZS status Theorem for Vampire---4
% 0.65/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.82 % (4369)------------------------------
% 0.65/0.82 % (4369)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (4369)Termination reason: Refutation
% 0.65/0.82
% 0.65/0.82 % (4369)Memory used [KB]: 1202
% 0.65/0.82 % (4369)Time elapsed: 0.017 s
% 0.65/0.82 % (4369)Instructions burned: 24 (million)
% 0.65/0.82 % (4369)------------------------------
% 0.65/0.82 % (4369)------------------------------
% 0.65/0.82 % (4318)Success in time 0.442 s
% 0.65/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------