TSTP Solution File: MGT034+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT034+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n022.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 Aug 31 17:51:30 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 31
% Syntax : Number of formulae : 206 ( 19 unt; 0 def)
% Number of atoms : 657 ( 18 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 790 ( 339 ~; 313 |; 89 &)
% ( 17 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 12 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 221 ( 213 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f652,plain,
$false,
inference(avatar_sat_refutation,[],[f184,f220,f334,f335,f417,f423,f457,f468,f471,f484,f642,f647,f648,f651]) ).
fof(f651,plain,
( ~ spl4_8
| ~ spl4_23 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f650,plain,
( $false
| ~ spl4_8
| ~ spl4_23 ),
inference(subsumption_resolution,[],[f649,f96]) ).
fof(f96,plain,
environment(sK0),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ~ selection_favors(first_movers,efficient_producers,sK1)
& greater(critical_point(sK0),sK1)
& in_environment(sK0,critical_point(sK0))
& greater_or_equal(sK1,appear(efficient_producers,sK0))
& environment(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f77,f78]) ).
fof(f78,plain,
( ? [X0,X1] :
( ~ selection_favors(first_movers,efficient_producers,X1)
& greater(critical_point(X0),X1)
& in_environment(X0,critical_point(X0))
& greater_or_equal(X1,appear(efficient_producers,X0))
& environment(X0) )
=> ( ~ selection_favors(first_movers,efficient_producers,sK1)
& greater(critical_point(sK0),sK1)
& in_environment(sK0,critical_point(sK0))
& greater_or_equal(sK1,appear(efficient_producers,sK0))
& environment(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
? [X0,X1] :
( ~ selection_favors(first_movers,efficient_producers,X1)
& greater(critical_point(X0),X1)
& in_environment(X0,critical_point(X0))
& greater_or_equal(X1,appear(efficient_producers,X0))
& environment(X0) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
? [X1,X0] :
( ~ selection_favors(first_movers,efficient_producers,X0)
& greater(critical_point(X1),X0)
& in_environment(X1,critical_point(X1))
& greater_or_equal(X0,appear(efficient_producers,X1))
& environment(X1) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
? [X1,X0] :
( ~ selection_favors(first_movers,efficient_producers,X0)
& environment(X1)
& greater_or_equal(X0,appear(efficient_producers,X1))
& greater(critical_point(X1),X0)
& in_environment(X1,critical_point(X1)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
~ ! [X1,X0] :
( ( environment(X1)
& greater_or_equal(X0,appear(efficient_producers,X1))
& greater(critical_point(X1),X0)
& in_environment(X1,critical_point(X1)) )
=> selection_favors(first_movers,efficient_producers,X0) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X3,X0] :
( ( in_environment(X0,critical_point(X0))
& greater(critical_point(X0),X3)
& greater_or_equal(X3,appear(efficient_producers,X0))
& environment(X0) )
=> selection_favors(first_movers,efficient_producers,X3) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X3,X0] :
( ( in_environment(X0,critical_point(X0))
& greater(critical_point(X0),X3)
& greater_or_equal(X3,appear(efficient_producers,X0))
& environment(X0) )
=> selection_favors(first_movers,efficient_producers,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3) ).
fof(f649,plain,
( ~ environment(sK0)
| ~ spl4_8
| ~ spl4_23 ),
inference(resolution,[],[f400,f607]) ).
fof(f607,plain,
( subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f605,f126]) ).
fof(f126,plain,
greater_or_equal(sF2,sK1),
inference(resolution,[],[f94,f120]) ).
fof(f120,plain,
greater(sF2,sK1),
inference(definition_folding,[],[f99,f119]) ).
fof(f119,plain,
sF2 = critical_point(sK0),
introduced(function_definition,[]) ).
fof(f99,plain,
greater(critical_point(sK0),sK1),
inference(cnf_transformation,[],[f79]) ).
fof(f94,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) )
& ( greater_or_equal(X0,X1)
| ( ~ greater(X0,X1)
& X0 != X1 ) ) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) )
& ( greater_or_equal(X0,X1)
| ( ~ greater(X0,X1)
& X0 != X1 ) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( greater(X0,X1)
| X0 = X1 )
<=> greater_or_equal(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X7,X8] :
( ( X7 = X8
| greater(X7,X8) )
<=> greater_or_equal(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(f605,plain,
( ~ greater_or_equal(sF2,sK1)
| subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ spl4_8 ),
inference(resolution,[],[f311,f123]) ).
fof(f123,plain,
greater_or_equal(sK1,sF3),
inference(definition_folding,[],[f97,f122]) ).
fof(f122,plain,
appear(efficient_producers,sK0) = sF3,
introduced(function_definition,[]) ).
fof(f97,plain,
greater_or_equal(sK1,appear(efficient_producers,sK0)),
inference(cnf_transformation,[],[f79]) ).
fof(f311,plain,
( ! [X0] :
( ~ greater_or_equal(X0,sF3)
| ~ greater_or_equal(sF2,X0)
| subpopulations(first_movers,efficient_producers,sK0,X0) )
| ~ spl4_8 ),
inference(resolution,[],[f268,f155]) ).
fof(f155,plain,
subpopulations(first_movers,efficient_producers,sK0,sF2),
inference(subsumption_resolution,[],[f154,f121]) ).
fof(f121,plain,
in_environment(sK0,sF2),
inference(definition_folding,[],[f98,f119]) ).
fof(f98,plain,
in_environment(sK0,critical_point(sK0)),
inference(cnf_transformation,[],[f79]) ).
fof(f154,plain,
( ~ in_environment(sK0,sF2)
| subpopulations(first_movers,efficient_producers,sK0,sF2) ),
inference(subsumption_resolution,[],[f153,f96]) ).
fof(f153,plain,
( ~ environment(sK0)
| subpopulations(first_movers,efficient_producers,sK0,sF2)
| ~ in_environment(sK0,sF2) ),
inference(superposition,[],[f108,f119]) ).
fof(f108,plain,
! [X0] :
( ~ in_environment(X0,critical_point(X0))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ~ in_environment(X0,critical_point(X0))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
| ~ environment(X0)
| ~ in_environment(X0,critical_point(X0)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ( environment(X0)
& in_environment(X0,critical_point(X0)) )
=> subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP) ).
fof(f268,plain,
( ! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ greater_or_equal(X0,X1)
| ~ greater_or_equal(X1,sF3) )
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f262,f96]) ).
fof(f262,plain,
( ! [X0,X1] :
( subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ greater_or_equal(X1,sF3)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ environment(sK0)
| ~ greater_or_equal(X0,X1) )
| ~ spl4_8 ),
inference(resolution,[],[f183,f89]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X1,X3)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X3,X2)
| subpopulations(first_movers,efficient_producers,X0,X3) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ environment(X0)
| ~ greater_or_equal(X1,X3)
| ~ greater_or_equal(X3,X2)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| subpopulations(first_movers,efficient_producers,X0,X3) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X3,X0,X2,X1] :
( ~ subpopulations(first_movers,efficient_producers,X3,X2)
| ~ environment(X3)
| ~ greater_or_equal(X0,X1)
| ~ greater_or_equal(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X3,X0)
| subpopulations(first_movers,efficient_producers,X3,X1) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X1,X3,X2,X0] :
( subpopulations(first_movers,efficient_producers,X3,X1)
| ~ greater_or_equal(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X3,X2)
| ~ greater_or_equal(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X3,X0)
| ~ environment(X3) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X3,X2,X0] :
( ( greater_or_equal(X1,X2)
& subpopulations(first_movers,efficient_producers,X3,X2)
& greater_or_equal(X0,X1)
& subpopulations(first_movers,efficient_producers,X3,X0)
& environment(X3) )
=> subpopulations(first_movers,efficient_producers,X3,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X6,X3,X5,X0] :
( ( greater_or_equal(X3,X5)
& environment(X0)
& greater_or_equal(X6,X3)
& subpopulations(first_movers,efficient_producers,X0,X5)
& subpopulations(first_movers,efficient_producers,X0,X6) )
=> subpopulations(first_movers,efficient_producers,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a10) ).
fof(f183,plain,
( subpopulations(first_movers,efficient_producers,sK0,sF3)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl4_8
<=> subpopulations(first_movers,efficient_producers,sK0,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f400,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sK1)
| ~ environment(X0) )
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f399,plain,
( spl4_23
<=> ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f648,plain,
( spl4_25
| spl4_26
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f621,f181,f414,f410]) ).
fof(f410,plain,
( spl4_25
<=> decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f414,plain,
( spl4_26
<=> decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f621,plain,
( decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)))
| decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| ~ spl4_8 ),
inference(resolution,[],[f617,f87]) ).
fof(f87,plain,
! [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)))
| decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,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(flattening,[],[f44]) ).
fof(f44,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,[],[f35]) ).
fof(f35,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(founding_rate(first_movers,X3),founding_rate(efficient_producers,X3)))
& ~ decreases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))) )
=> decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_difference_between_founding_rates) ).
fof(f617,plain,
( decreases(difference(founding_rate(first_movers,sK1),founding_rate(efficient_producers,sK1)))
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f615,f96]) ).
fof(f615,plain,
( ~ environment(sK0)
| decreases(difference(founding_rate(first_movers,sK1),founding_rate(efficient_producers,sK1)))
| ~ spl4_8 ),
inference(resolution,[],[f607,f107]) ).
fof(f107,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(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0,X3] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X3) )
=> decreases(difference(founding_rate(first_movers,X3),founding_rate(efficient_producers,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12) ).
fof(f647,plain,
~ spl4_30,
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f646,plain,
( $false
| ~ spl4_30 ),
inference(subsumption_resolution,[],[f645,f96]) ).
fof(f645,plain,
( ~ environment(sK0)
| ~ spl4_30 ),
inference(subsumption_resolution,[],[f644,f123]) ).
fof(f644,plain,
( ~ greater_or_equal(sK1,sF3)
| ~ environment(sK0)
| ~ spl4_30 ),
inference(subsumption_resolution,[],[f643,f121]) ).
fof(f643,plain,
( ~ in_environment(sK0,sF2)
| ~ greater_or_equal(sK1,sF3)
| ~ environment(sK0)
| ~ spl4_30 ),
inference(superposition,[],[f456,f122]) ).
fof(f456,plain,
( ! [X0] :
( ~ greater_or_equal(sK1,appear(efficient_producers,X0))
| ~ environment(X0)
| ~ in_environment(X0,sF2) )
| ~ spl4_30 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f455,plain,
( spl4_30
<=> ! [X0] :
( ~ in_environment(X0,sF2)
| ~ greater_or_equal(sK1,appear(efficient_producers,X0))
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).
fof(f642,plain,
( ~ spl4_8
| ~ spl4_29 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f641,plain,
( $false
| ~ spl4_8
| ~ spl4_29 ),
inference(subsumption_resolution,[],[f640,f96]) ).
fof(f640,plain,
( ~ environment(sK0)
| ~ spl4_8
| ~ spl4_29 ),
inference(resolution,[],[f637,f620]) ).
fof(f620,plain,
( subpopulations(efficient_producers,first_movers,sK0,sK1)
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f613,f96]) ).
fof(f613,plain,
( ~ environment(sK0)
| subpopulations(efficient_producers,first_movers,sK0,sK1)
| ~ spl4_8 ),
inference(resolution,[],[f607,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| subpopulations(efficient_producers,first_movers,X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| subpopulations(efficient_producers,first_movers,X0,X1) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| subpopulations(efficient_producers,first_movers,X1,X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X1,X0)
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X1,X0)
& environment(X1) )
=> subpopulations(efficient_producers,first_movers,X1,X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X0] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X3) )
=> subpopulations(efficient_producers,first_movers,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations) ).
fof(f637,plain,
( ! [X0] :
( ~ subpopulations(efficient_producers,first_movers,X0,sK1)
| ~ environment(X0) )
| ~ spl4_29 ),
inference(subsumption_resolution,[],[f635,f100]) ).
fof(f100,plain,
~ selection_favors(first_movers,efficient_producers,sK1),
inference(cnf_transformation,[],[f79]) ).
fof(f635,plain,
( ! [X0] :
( selection_favors(first_movers,efficient_producers,sK1)
| ~ environment(X0)
| ~ subpopulations(efficient_producers,first_movers,X0,sK1) )
| ~ spl4_29 ),
inference(resolution,[],[f632,f111]) ).
fof(f111,plain,
! [X2,X3,X0,X1] :
( ~ greater(growth_rate(X3,X2),growth_rate(X0,X2))
| selection_favors(X3,X0,X2)
| ~ subpopulations(X0,X3,X1,X2)
| ~ environment(X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ~ greater(growth_rate(X3,X2),growth_rate(X0,X2))
| ~ environment(X1)
| ~ subpopulations(X0,X3,X1,X2)
| selection_favors(X3,X0,X2) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X1,X2,X0,X3] :
( ~ greater(growth_rate(X3,X0),growth_rate(X1,X0))
| ~ environment(X2)
| ~ subpopulations(X1,X3,X2,X0)
| selection_favors(X3,X1,X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X3,X2,X1] :
( selection_favors(X3,X1,X0)
| ~ greater(growth_rate(X3,X0),growth_rate(X1,X0))
| ~ subpopulations(X1,X3,X2,X0)
| ~ environment(X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X3,X2,X1] :
( ( greater(growth_rate(X3,X0),growth_rate(X1,X0))
& subpopulations(X1,X3,X2,X0)
& environment(X2) )
=> selection_favors(X3,X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X3,X1,X0,X2] :
( ( environment(X0)
& subpopulations(X1,X2,X0,X3)
& greater(growth_rate(X2,X3),growth_rate(X1,X3)) )
=> selection_favors(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates) ).
fof(f632,plain,
( greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1))
| ~ spl4_29 ),
inference(resolution,[],[f453,f114]) ).
fof(f114,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(cnf_transformation,[],[f85]) ).
fof(f85,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,[],[f24]) ).
fof(f24,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(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/benchmark/theBenchmark.p',mp_positive_growth_rate_difference) ).
fof(f453,plain,
( greater(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)),zero)
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl4_29
<=> greater(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f484,plain,
( ~ spl4_6
| ~ spl4_29 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f483,plain,
( $false
| ~ spl4_6
| ~ spl4_29 ),
inference(subsumption_resolution,[],[f482,f96]) ).
fof(f482,plain,
( ~ environment(sK0)
| ~ spl4_6
| ~ spl4_29 ),
inference(resolution,[],[f479,f377]) ).
fof(f377,plain,
( subpopulations(efficient_producers,first_movers,sK0,sK1)
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f374,f96]) ).
fof(f374,plain,
( subpopulations(efficient_producers,first_movers,sK0,sK1)
| ~ environment(sK0)
| ~ spl4_6 ),
inference(resolution,[],[f360,f104]) ).
fof(f360,plain,
( subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f357,f126]) ).
fof(f357,plain,
( ~ greater_or_equal(sF2,sK1)
| subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ spl4_6 ),
inference(resolution,[],[f337,f307]) ).
fof(f307,plain,
! [X0] :
( ~ greater_or_equal(X0,sF2)
| ~ greater_or_equal(sF2,X0)
| subpopulations(first_movers,efficient_producers,sK0,X0) ),
inference(resolution,[],[f214,f155]) ).
fof(f214,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater_or_equal(X0,X1)
| subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ greater_or_equal(X1,sF2) ),
inference(subsumption_resolution,[],[f213,f96]) ).
fof(f213,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater_or_equal(X0,X1)
| ~ environment(sK0)
| ~ greater_or_equal(X1,sF2) ),
inference(resolution,[],[f89,f155]) ).
fof(f337,plain,
( greater_or_equal(sK1,sF2)
| ~ spl4_6 ),
inference(backward_demodulation,[],[f123,f171]) ).
fof(f171,plain,
( sF2 = sF3
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl4_6
<=> sF2 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f479,plain,
( ! [X0] :
( ~ subpopulations(efficient_producers,first_movers,X0,sK1)
| ~ environment(X0) )
| ~ spl4_29 ),
inference(subsumption_resolution,[],[f477,f100]) ).
fof(f477,plain,
( ! [X0] :
( ~ subpopulations(efficient_producers,first_movers,X0,sK1)
| selection_favors(first_movers,efficient_producers,sK1)
| ~ environment(X0) )
| ~ spl4_29 ),
inference(resolution,[],[f473,f111]) ).
fof(f473,plain,
( greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1))
| ~ spl4_29 ),
inference(resolution,[],[f453,f114]) ).
fof(f471,plain,
( ~ spl4_6
| ~ spl4_23 ),
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f470,plain,
( $false
| ~ spl4_6
| ~ spl4_23 ),
inference(subsumption_resolution,[],[f469,f96]) ).
fof(f469,plain,
( ~ environment(sK0)
| ~ spl4_6
| ~ spl4_23 ),
inference(resolution,[],[f400,f360]) ).
fof(f468,plain,
( spl4_23
| ~ spl4_25 ),
inference(avatar_split_clause,[],[f467,f410,f399]) ).
fof(f467,plain,
( ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sK1) )
| ~ spl4_25 ),
inference(resolution,[],[f412,f105]) ).
fof(f105,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,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ( 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] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X3) )
=> ~ decreases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3) ).
fof(f412,plain,
( decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f457,plain,
( spl4_29
| spl4_30
| ~ spl4_20
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f449,f414,f331,f455,f451]) ).
fof(f331,plain,
( spl4_20
<=> greater_or_equal(difference(growth_rate(first_movers,sF2),growth_rate(efficient_producers,sF2)),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f449,plain,
( ! [X0] :
( ~ in_environment(X0,sF2)
| greater(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)),zero)
| ~ environment(X0)
| ~ greater_or_equal(sK1,appear(efficient_producers,X0)) )
| ~ spl4_20
| ~ spl4_26 ),
inference(subsumption_resolution,[],[f447,f120]) ).
fof(f447,plain,
( ! [X0] :
( ~ greater_or_equal(sK1,appear(efficient_producers,X0))
| ~ greater(sF2,sK1)
| greater(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)),zero)
| ~ environment(X0)
| ~ in_environment(X0,sF2) )
| ~ spl4_20
| ~ spl4_26 ),
inference(resolution,[],[f428,f416]) ).
fof(f416,plain,
( decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)))
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f428,plain,
( ! [X0,X1] :
( ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ greater_or_equal(X0,appear(efficient_producers,X1))
| greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater(sF2,X0)
| ~ in_environment(X1,sF2)
| ~ environment(X1) )
| ~ spl4_20 ),
inference(resolution,[],[f333,f102]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ greater_or_equal(X0,appear(efficient_producers,X2))
| ~ greater(X1,X0)
| ~ in_environment(X2,X1)
| ~ environment(X2)
| ~ decreases(difference(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,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ greater(X1,X0)
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater_or_equal(X0,appear(efficient_producers,X2))
| ~ in_environment(X2,X1)
| ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ environment(X2) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ greater(X0,X2)
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| greater(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ in_environment(X1,X0)
| ~ decreases(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
| ~ environment(X1) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( greater(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ decreases(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
| ~ in_environment(X1,X0)
| ~ greater(X0,X2)
| ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ( in_environment(X1,X0)
& greater(X0,X2)
& environment(X1)
& greater_or_equal(X2,appear(efficient_producers,X1))
& greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) )
=> ( decreases(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
=> greater(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X4,X0,X3] :
( ( greater_or_equal(difference(growth_rate(first_movers,X4),growth_rate(efficient_producers,X4)),zero)
& greater_or_equal(X3,appear(efficient_producers,X0))
& environment(X0)
& greater(X4,X3)
& in_environment(X0,X4) )
=> ( 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/benchmark/theBenchmark.p',mp_decreasing_function) ).
fof(f333,plain,
( greater_or_equal(difference(growth_rate(first_movers,sF2),growth_rate(efficient_producers,sF2)),zero)
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f423,plain,
~ spl4_19,
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f422,plain,
( $false
| ~ spl4_19 ),
inference(subsumption_resolution,[],[f420,f125]) ).
fof(f125,plain,
~ greater(growth_rate(efficient_producers,sF2),growth_rate(first_movers,sF2)),
inference(subsumption_resolution,[],[f124,f96]) ).
fof(f124,plain,
( ~ environment(sK0)
| ~ greater(growth_rate(efficient_producers,sF2),growth_rate(first_movers,sF2)) ),
inference(superposition,[],[f116,f119]) ).
fof(f116,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0)))
| ~ environment(X0) ),
inference(equality_resolution,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1) ) )
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,X1) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) )
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ( critical_point(X0) = X1
& environment(X0) )
=> ( ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater(X2,X1) )
=> 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] :
( ( environment(X0)
& critical_point(X0) = X9 )
=> ( ! [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/benchmark/theBenchmark.p',d1) ).
fof(f420,plain,
( greater(growth_rate(efficient_producers,sF2),growth_rate(first_movers,sF2))
| ~ spl4_19 ),
inference(resolution,[],[f329,f109]) ).
fof(f109,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(cnf_transformation,[],[f83]) ).
fof(f83,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,[],[f39]) ).
fof(f39,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(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
<=> greater(zero,difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_negative_growth_rate_difference) ).
fof(f329,plain,
( greater(zero,difference(growth_rate(first_movers,sF2),growth_rate(efficient_producers,sF2)))
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f327,plain,
( spl4_19
<=> greater(zero,difference(growth_rate(first_movers,sF2),growth_rate(efficient_producers,sF2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f417,plain,
( spl4_25
| spl4_26
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f408,f169,f414,f410]) ).
fof(f408,plain,
( decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)))
| decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| ~ spl4_6 ),
inference(resolution,[],[f392,f87]) ).
fof(f392,plain,
( decreases(difference(founding_rate(first_movers,sK1),founding_rate(efficient_producers,sK1)))
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f376,f96]) ).
fof(f376,plain,
( decreases(difference(founding_rate(first_movers,sK1),founding_rate(efficient_producers,sK1)))
| ~ environment(sK0)
| ~ spl4_6 ),
inference(resolution,[],[f360,f107]) ).
fof(f335,plain,
( spl4_6
| spl4_5 ),
inference(avatar_split_clause,[],[f246,f165,f169]) ).
fof(f165,plain,
( spl4_5
<=> greater(sF2,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f246,plain,
( greater(sF2,sF3)
| sF2 = sF3 ),
inference(resolution,[],[f160,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f160,plain,
greater_or_equal(sF2,sF3),
inference(forward_demodulation,[],[f159,f122]) ).
fof(f159,plain,
greater_or_equal(sF2,appear(efficient_producers,sK0)),
inference(subsumption_resolution,[],[f157,f96]) ).
fof(f157,plain,
( ~ environment(sK0)
| greater_or_equal(sF2,appear(efficient_producers,sK0)) ),
inference(resolution,[],[f155,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( greater_or_equal(X1,appear(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( greater_or_equal(X1,appear(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,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/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared) ).
fof(f334,plain,
( spl4_19
| spl4_20 ),
inference(avatar_split_clause,[],[f325,f331,f327]) ).
fof(f325,plain,
( greater_or_equal(difference(growth_rate(first_movers,sF2),growth_rate(efficient_producers,sF2)),zero)
| greater(zero,difference(growth_rate(first_movers,sF2),growth_rate(efficient_producers,sF2))) ),
inference(subsumption_resolution,[],[f313,f96]) ).
fof(f313,plain,
( greater(zero,difference(growth_rate(first_movers,sF2),growth_rate(efficient_producers,sF2)))
| greater_or_equal(difference(growth_rate(first_movers,sF2),growth_rate(efficient_producers,sF2)),zero)
| ~ environment(sK0) ),
inference(resolution,[],[f113,f155]) ).
fof(f113,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ environment(X0)
| greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ environment(X0)
| greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( ( environment(X0)
& ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> 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/benchmark/theBenchmark.p',mp_relationship_of_growth_rates) ).
fof(f220,plain,
( ~ spl4_5
| spl4_7 ),
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f219,plain,
( $false
| ~ spl4_5
| spl4_7 ),
inference(subsumption_resolution,[],[f218,f167]) ).
fof(f167,plain,
( greater(sF2,sF3)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f218,plain,
( ~ greater(sF2,sF3)
| spl4_7 ),
inference(subsumption_resolution,[],[f215,f179]) ).
fof(f179,plain,
( ~ in_environment(sK0,sF3)
| spl4_7 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl4_7
<=> in_environment(sK0,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f215,plain,
( ~ greater(sF2,sF3)
| in_environment(sK0,sF3) ),
inference(resolution,[],[f212,f118]) ).
fof(f118,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f212,plain,
! [X0] :
( ~ greater_or_equal(X0,sF3)
| in_environment(sK0,X0)
| ~ greater(sF2,X0) ),
inference(forward_demodulation,[],[f211,f119]) ).
fof(f211,plain,
! [X0] :
( ~ greater_or_equal(X0,sF3)
| ~ greater(critical_point(sK0),X0)
| in_environment(sK0,X0) ),
inference(subsumption_resolution,[],[f210,f121]) ).
fof(f210,plain,
! [X0] :
( ~ in_environment(sK0,sF2)
| ~ greater_or_equal(X0,sF3)
| in_environment(sK0,X0)
| ~ greater(critical_point(sK0),X0) ),
inference(forward_demodulation,[],[f209,f119]) ).
fof(f209,plain,
! [X0] :
( ~ in_environment(sK0,critical_point(sK0))
| ~ greater(critical_point(sK0),X0)
| ~ greater_or_equal(X0,sF3)
| in_environment(sK0,X0) ),
inference(subsumption_resolution,[],[f208,f96]) ).
fof(f208,plain,
! [X0] :
( in_environment(sK0,X0)
| ~ greater(critical_point(sK0),X0)
| ~ in_environment(sK0,critical_point(sK0))
| ~ greater_or_equal(X0,sF3)
| ~ environment(sK0) ),
inference(superposition,[],[f88,f122]) ).
fof(f88,plain,
! [X0,X1] :
( ~ greater_or_equal(X1,appear(efficient_producers,X0))
| in_environment(X0,X1)
| ~ in_environment(X0,critical_point(X0))
| ~ greater(critical_point(X0),X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,critical_point(X0))
| in_environment(X0,X1)
| ~ greater(critical_point(X0),X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0)) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ in_environment(X0,critical_point(X0))
| ~ greater(critical_point(X0),X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( in_environment(X0,critical_point(X0))
& greater(critical_point(X0),X1)
& greater_or_equal(X1,appear(efficient_producers,X0))
& environment(X0) )
=> in_environment(X0,X1) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X3] :
( ( environment(X0)
& in_environment(X0,critical_point(X0))
& greater(critical_point(X0),X3)
& greater_or_equal(X3,appear(efficient_producers,X0)) )
=> in_environment(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_time_points) ).
fof(f184,plain,
( ~ spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f175,f181,f177]) ).
fof(f175,plain,
( subpopulations(first_movers,efficient_producers,sK0,sF3)
| ~ in_environment(sK0,sF3) ),
inference(subsumption_resolution,[],[f174,f96]) ).
fof(f174,plain,
( ~ environment(sK0)
| subpopulations(first_movers,efficient_producers,sK0,sF3)
| ~ in_environment(sK0,sF3) ),
inference(superposition,[],[f90,f122]) ).
fof(f90,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] :
( ~ environment(X0)
| ~ in_environment(X0,appear(efficient_producers,X0))
| subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
| ~ environment(X0)
| ~ in_environment(X0,appear(efficient_producers,X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( environment(X0)
& in_environment(X0,appear(efficient_producers,X0)) )
=> subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT034+2 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 03:17:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 % (21852)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.45 % (21877)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.45 % (21860)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.46 TRYING [1]
% 0.19/0.46 TRYING [2]
% 0.19/0.46 TRYING [3]
% 0.19/0.47 % (21860)Instruction limit reached!
% 0.19/0.47 % (21860)------------------------------
% 0.19/0.47 % (21860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (21860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (21860)Termination reason: Unknown
% 0.19/0.47 % (21860)Termination phase: Blocked clause elimination
% 0.19/0.47
% 0.19/0.47 % (21860)Memory used [KB]: 1023
% 0.19/0.47 % (21860)Time elapsed: 0.004 s
% 0.19/0.47 % (21860)Instructions burned: 4 (million)
% 0.19/0.47 % (21860)------------------------------
% 0.19/0.47 % (21860)------------------------------
% 0.19/0.48 % (21863)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (21868)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (21857)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50 % (21854)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (21856)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (21871)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (21864)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (21862)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (21876)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 % (21861)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (21870)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (21858)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (21855)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (21853)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (21867)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (21853)Refutation not found, incomplete strategy% (21853)------------------------------
% 0.19/0.53 % (21853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (21853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (21853)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (21853)Memory used [KB]: 5500
% 0.19/0.53 % (21853)Time elapsed: 0.138 s
% 0.19/0.53 % (21853)Instructions burned: 4 (million)
% 0.19/0.53 % (21853)------------------------------
% 0.19/0.53 % (21853)------------------------------
% 0.19/0.53 % (21859)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (21865)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (21874)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (21878)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (21869)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (21875)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.54 % (21881)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (21879)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (21882)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54 % (21866)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (21872)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.55 % (21880)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.55 % (21859)Instruction limit reached!
% 0.19/0.55 % (21859)------------------------------
% 0.19/0.55 % (21859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (21859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (21859)Termination reason: Unknown
% 0.19/0.55 % (21859)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (21859)Memory used [KB]: 5500
% 0.19/0.55 % (21859)Time elapsed: 0.139 s
% 0.19/0.55 % (21859)Instructions burned: 8 (million)
% 0.19/0.55 % (21859)------------------------------
% 0.19/0.55 % (21859)------------------------------
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 TRYING [1]
% 0.19/0.56 TRYING [3]
% 0.19/0.56 TRYING [2]
% 0.19/0.56 % (21856)First to succeed.
% 0.19/0.56 % (21856)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (21856)------------------------------
% 0.19/0.56 % (21856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (21856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (21856)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (21856)Memory used [KB]: 5756
% 0.19/0.56 % (21856)Time elapsed: 0.168 s
% 0.19/0.56 % (21856)Instructions burned: 19 (million)
% 0.19/0.56 % (21856)------------------------------
% 0.19/0.56 % (21856)------------------------------
% 0.19/0.56 % (21848)Success in time 0.212 s
%------------------------------------------------------------------------------