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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:56:42 EDT 2024
% Result : Theorem 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 38
% Syntax : Number of formulae : 195 ( 15 unt; 0 def)
% Number of atoms : 695 ( 25 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 857 ( 357 ~; 360 |; 83 &)
% ( 26 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 21 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 233 ( 227 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f452,plain,
$false,
inference(avatar_sat_refutation,[],[f160,f170,f174,f192,f201,f213,f217,f225,f239,f257,f276,f292,f301,f340,f376,f393,f395,f397,f399,f449,f451]) ).
fof(f451,plain,
spl2_41,
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f450,plain,
( $false
| spl2_41 ),
inference(resolution,[],[f448,f109]) ).
fof(f109,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| 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,[],[f33]) ).
fof(f33,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',mp_greater_or_equal) ).
fof(f448,plain,
( ~ greater_or_equal(zero,zero)
| spl2_41 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl2_41
<=> greater_or_equal(zero,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).
fof(f449,plain,
( ~ spl2_4
| spl2_31
| ~ spl2_41
| ~ spl2_27 ),
inference(avatar_split_clause,[],[f412,f333,f446,f374,f154]) ).
fof(f154,plain,
( spl2_4
<=> in_environment(sK0,critical_point(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f374,plain,
( spl2_31
<=> ! [X0] :
( ~ greater(critical_point(sK0),X0)
| greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
| ~ greater_or_equal(X0,appear(efficient_producers,sK0))
| ~ subpopulations(first_movers,efficient_producers,sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).
fof(f333,plain,
( spl2_27
<=> zero = difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).
fof(f412,plain,
( ! [X0] :
( ~ greater_or_equal(zero,zero)
| ~ greater(critical_point(sK0),X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ in_environment(sK0,critical_point(sK0))
| ~ greater_or_equal(X0,appear(efficient_producers,sK0))
| greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) )
| ~ spl2_27 ),
inference(superposition,[],[f368,f335]) ).
fof(f335,plain,
( zero = difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0)))
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f368,plain,
! [X0,X1] :
( ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ in_environment(sK0,X0)
| ~ greater_or_equal(X1,appear(efficient_producers,sK0))
| greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)) ),
inference(resolution,[],[f367,f87]) ).
fof(f87,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,[],[f74]) ).
fof(f74,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,[],[f27]) ).
fof(f27,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',mp_positive_growth_rate_difference) ).
fof(f367,plain,
! [X0,X1] :
( greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ in_environment(sK0,X0)
| ~ greater_or_equal(X1,appear(efficient_producers,sK0)) ),
inference(duplicate_literal_removal,[],[f366]) ).
fof(f366,plain,
! [X0,X1] :
( ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ greater(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ in_environment(sK0,X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,sK0)) ),
inference(resolution,[],[f365,f104]) ).
fof(f104,plain,
environment(sK0),
inference(cnf_transformation,[],[f78]) ).
fof(f78,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])],[f72,f77]) ).
fof(f77,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(f72,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,[],[f71]) ).
fof(f71,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,[],[f38]) ).
fof(f38,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',prove_t3) ).
fof(f365,plain,
! [X2,X0,X1] :
( ~ environment(X2)
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ greater(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ in_environment(sK0,X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,sK0)) ),
inference(resolution,[],[f364,f104]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ 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(X0,X2)
| ~ subpopulations(first_movers,efficient_producers,X3,X2)
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,sK0,X2)
| ~ greater_or_equal(X2,appear(efficient_producers,X1)) ),
inference(resolution,[],[f363,f104]) ).
fof(f363,plain,
! [X2,X3,X0,X1,X4] :
( ~ environment(X4)
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater(X2,X0)
| ~ subpopulations(first_movers,efficient_producers,X3,X0)
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X4,X0)
| ~ greater_or_equal(X0,appear(efficient_producers,X1)) ),
inference(resolution,[],[f362,f103]) ).
fof(f103,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,[],[f70]) ).
fof(f70,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,[],[f69]) ).
fof(f69,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,[],[f37]) ).
fof(f37,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',a12) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( ~ decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ in_environment(X2,X0)
| ~ environment(X2)
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ greater(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X3,X1)
| ~ environment(X3) ),
inference(resolution,[],[f361,f80]) ).
fof(f80,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,[],[f42]) ).
fof(f42,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,[],[f41]) ).
fof(f41,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,[],[f23]) ).
fof(f23,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',l3) ).
fof(f361,plain,
! [X2,X0,X1] :
( decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ greater(X1,X0)
| ~ greater_or_equal(X0,appear(efficient_producers,X2))
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ in_environment(X2,X1)
| ~ environment(X2)
| greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) ),
inference(resolution,[],[f84,f83]) ).
fof(f83,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,[],[f48]) ).
fof(f48,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,[],[f47]) ).
fof(f47,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,[],[f24]) ).
fof(f24,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',mp_difference_between_founding_rates) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ 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)
| ~ 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,[],[f25]) ).
fof(f25,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',mp_decreasing_function) ).
fof(f399,plain,
spl2_21,
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f398,plain,
( $false
| spl2_21 ),
inference(resolution,[],[f271,f106]) ).
fof(f106,plain,
greater_or_equal(sK1,appear(efficient_producers,sK0)),
inference(cnf_transformation,[],[f78]) ).
fof(f271,plain,
( ~ greater_or_equal(sK1,appear(efficient_producers,sK0))
| spl2_21 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl2_21
<=> greater_or_equal(sK1,appear(efficient_producers,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).
fof(f397,plain,
( ~ spl2_3
| ~ spl2_25
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f396,f387,f298,f150]) ).
fof(f150,plain,
( spl2_3
<=> environment(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f298,plain,
( spl2_25
<=> subpopulations(efficient_producers,first_movers,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).
fof(f387,plain,
( spl2_32
<=> ! [X0] :
( ~ subpopulations(efficient_producers,first_movers,X0,sK1)
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).
fof(f396,plain,
( ~ environment(sK0)
| ~ spl2_25
| ~ spl2_32 ),
inference(resolution,[],[f388,f300]) ).
fof(f300,plain,
( subpopulations(efficient_producers,first_movers,sK0,sK1)
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f388,plain,
( ! [X0] :
( ~ subpopulations(efficient_producers,first_movers,X0,sK1)
| ~ environment(X0) )
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f395,plain,
spl2_33,
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f394,plain,
( $false
| spl2_33 ),
inference(resolution,[],[f392,f107]) ).
fof(f107,plain,
greater(critical_point(sK0),sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f392,plain,
( ~ greater(critical_point(sK0),sK1)
| spl2_33 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f390,plain,
( spl2_33
<=> greater(critical_point(sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).
fof(f393,plain,
( spl2_32
| ~ spl2_33
| ~ spl2_22
| ~ spl2_21
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f385,f374,f269,f273,f390,f387]) ).
fof(f273,plain,
( spl2_22
<=> subpopulations(first_movers,efficient_producers,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).
fof(f385,plain,
( ! [X0] :
( ~ greater_or_equal(sK1,appear(efficient_producers,sK0))
| ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ greater(critical_point(sK0),sK1)
| ~ subpopulations(efficient_producers,first_movers,X0,sK1)
| ~ environment(X0) )
| ~ spl2_31 ),
inference(resolution,[],[f378,f108]) ).
fof(f108,plain,
~ selection_favors(first_movers,efficient_producers,sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f378,plain,
( ! [X0,X1] :
( selection_favors(first_movers,efficient_producers,X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sK0))
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater(critical_point(sK0),X0)
| ~ subpopulations(efficient_producers,first_movers,X1,X0)
| ~ environment(X1) )
| ~ spl2_31 ),
inference(resolution,[],[f375,f79]) ).
fof(f79,plain,
! [X2,X3,X0,X1] :
( ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| selection_favors(X2,X1,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,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,[],[f39]) ).
fof(f39,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',mp1_high_growth_rates) ).
fof(f375,plain,
( ! [X0] :
( greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
| ~ greater(critical_point(sK0),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sK0))
| ~ subpopulations(first_movers,efficient_producers,sK0,X0) )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f376,plain,
( ~ spl2_4
| spl2_31
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f372,f337,f374,f154]) ).
fof(f337,plain,
( spl2_28
<=> greater(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).
fof(f372,plain,
( ! [X0] :
( ~ greater(critical_point(sK0),X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ in_environment(sK0,critical_point(sK0))
| ~ greater_or_equal(X0,appear(efficient_producers,sK0))
| greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) )
| ~ spl2_28 ),
inference(resolution,[],[f368,f354]) ).
fof(f354,plain,
( greater_or_equal(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero)
| ~ spl2_28 ),
inference(resolution,[],[f341,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f341,plain,
( greater(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero)
| ~ spl2_28 ),
inference(resolution,[],[f339,f88]) ).
fof(f88,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,[],[f74]) ).
fof(f339,plain,
( greater(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0)))
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f340,plain,
( spl2_27
| spl2_28
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f331,f232,f337,f333]) ).
fof(f232,plain,
( spl2_17
<=> subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
fof(f331,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0))
| greater(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0)))
| zero = difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))) ),
inference(resolution,[],[f328,f104]) ).
fof(f328,plain,
! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,critical_point(X0))
| greater(growth_rate(first_movers,critical_point(X0)),growth_rate(efficient_producers,critical_point(X0)))
| zero = difference(growth_rate(first_movers,critical_point(X0)),growth_rate(efficient_producers,critical_point(X0))) ),
inference(resolution,[],[f326,f111]) ).
fof(f111,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0)))
| ~ environment(X0) ),
inference(equality_resolution,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,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,[],[f65]) ).
fof(f65,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,[],[f35]) ).
fof(f35,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',d1) ).
fof(f326,plain,
! [X0] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| zero = difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(resolution,[],[f324,f87]) ).
fof(f324,plain,
! [X0] :
( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| zero = difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(resolution,[],[f323,f85]) ).
fof(f85,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,[],[f73]) ).
fof(f73,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,[],[f26]) ).
fof(f26,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',mp_negative_growth_rate_difference) ).
fof(f323,plain,
! [X0] :
( greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| zero = difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(resolution,[],[f304,f104]) ).
fof(f304,plain,
! [X0,X1] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| zero = difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(resolution,[],[f99,f96]) ).
fof(f96,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f99,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,[],[f64]) ).
fof(f64,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,[],[f63]) ).
fof(f63,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,[],[f34]) ).
fof(f34,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',mp_relationship_of_growth_rates) ).
fof(f301,plain,
( ~ spl2_3
| spl2_25
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f296,f273,f298,f150]) ).
fof(f296,plain,
( subpopulations(efficient_producers,first_movers,sK0,sK1)
| ~ environment(sK0)
| ~ spl2_22 ),
inference(resolution,[],[f275,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| subpopulations(efficient_producers,first_movers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',mp_symmetry_of_subpopulations) ).
fof(f275,plain,
( subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f292,plain,
( ~ spl2_4
| spl2_6
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f291,f222,f162,f154]) ).
fof(f162,plain,
( spl2_6
<=> in_environment(sK0,appear(efficient_producers,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f222,plain,
( spl2_16
<=> critical_point(sK0) = appear(efficient_producers,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f291,plain,
( ~ in_environment(sK0,critical_point(sK0))
| spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f164,f224]) ).
fof(f224,plain,
( critical_point(sK0) = appear(efficient_producers,sK0)
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f164,plain,
( ~ in_environment(sK0,appear(efficient_producers,sK0))
| spl2_6 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f276,plain,
( ~ spl2_21
| spl2_22
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f264,f215,f273,f269]) ).
fof(f215,plain,
( spl2_15
<=> ! [X0] :
( subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater_or_equal(critical_point(sK0),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f264,plain,
( subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ greater_or_equal(sK1,appear(efficient_producers,sK0))
| ~ spl2_15 ),
inference(resolution,[],[f216,f112]) ).
fof(f112,plain,
greater_or_equal(critical_point(sK0),sK1),
inference(resolution,[],[f97,f107]) ).
fof(f216,plain,
( ! [X0] :
( ~ greater_or_equal(critical_point(sK0),X0)
| subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sK0)) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f257,plain,
spl2_18,
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f256,plain,
( $false
| spl2_18 ),
inference(resolution,[],[f238,f109]) ).
fof(f238,plain,
( ~ greater_or_equal(critical_point(sK0),critical_point(sK0))
| spl2_18 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl2_18
<=> greater_or_equal(critical_point(sK0),critical_point(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).
fof(f239,plain,
( spl2_17
| ~ spl2_18
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f230,f211,f236,f232]) ).
fof(f211,plain,
( spl2_14
<=> ! [X0] :
( subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater_or_equal(critical_point(sK0),X0)
| ~ greater_or_equal(X0,critical_point(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f230,plain,
( ~ greater_or_equal(critical_point(sK0),critical_point(sK0))
| subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0))
| ~ spl2_14 ),
inference(resolution,[],[f212,f109]) ).
fof(f212,plain,
( ! [X0] :
( ~ greater_or_equal(X0,critical_point(sK0))
| ~ greater_or_equal(critical_point(sK0),X0)
| subpopulations(first_movers,efficient_producers,sK0,X0) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f225,plain,
( spl2_16
| ~ spl2_3
| ~ spl2_4
| spl2_11 ),
inference(avatar_split_clause,[],[f220,f189,f154,f150,f222]) ).
fof(f189,plain,
( spl2_11
<=> greater(critical_point(sK0),appear(efficient_producers,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f220,plain,
( ~ in_environment(sK0,critical_point(sK0))
| ~ environment(sK0)
| critical_point(sK0) = appear(efficient_producers,sK0)
| spl2_11 ),
inference(resolution,[],[f191,f131]) ).
fof(f131,plain,
! [X0] :
( greater(critical_point(X0),appear(efficient_producers,X0))
| ~ in_environment(X0,critical_point(X0))
| ~ environment(X0)
| critical_point(X0) = appear(efficient_producers,X0) ),
inference(resolution,[],[f130,f96]) ).
fof(f130,plain,
! [X0] :
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(X0)
| ~ in_environment(X0,critical_point(X0)) ),
inference(duplicate_literal_removal,[],[f129]) ).
fof(f129,plain,
! [X0] :
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(X0)
| ~ in_environment(X0,critical_point(X0))
| ~ environment(X0) ),
inference(resolution,[],[f95,f81]) ).
fof(f81,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
| ~ in_environment(X0,critical_point(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
| ~ in_environment(X0,critical_point(X0))
| ~ environment(X0) ),
inference(flattening,[],[f43]) ).
fof(f43,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',mp_critical_point_means_FM_and_EP) ).
fof(f95,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( greater_or_equal(X1,appear(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( greater_or_equal(X1,appear(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',mp_FM_and_EP_members_EP_appeared) ).
fof(f191,plain,
( ~ greater(critical_point(sK0),appear(efficient_producers,sK0))
| spl2_11 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f217,plain,
( ~ spl2_3
| ~ spl2_6
| spl2_15
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f209,f158,f215,f162,f150]) ).
fof(f158,plain,
( spl2_5
<=> ! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ greater_or_equal(critical_point(sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f209,plain,
( ! [X0] :
( subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sK0))
| ~ greater_or_equal(critical_point(sK0),X0)
| ~ in_environment(sK0,appear(efficient_producers,sK0))
| ~ environment(sK0) )
| ~ spl2_5 ),
inference(resolution,[],[f159,f82]) ).
fof(f82,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
| ~ in_environment(X0,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
| ~ in_environment(X0,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',mp_FM_and_EP_when_EP_appears) ).
fof(f159,plain,
( ! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater_or_equal(X0,X1)
| ~ greater_or_equal(critical_point(sK0),X0) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f213,plain,
( ~ spl2_3
| ~ spl2_4
| spl2_14
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f208,f158,f211,f154,f150]) ).
fof(f208,plain,
( ! [X0] :
( subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater_or_equal(X0,critical_point(sK0))
| ~ greater_or_equal(critical_point(sK0),X0)
| ~ in_environment(sK0,critical_point(sK0))
| ~ environment(sK0) )
| ~ spl2_5 ),
inference(resolution,[],[f159,f81]) ).
fof(f201,plain,
spl2_10,
inference(avatar_contradiction_clause,[],[f200]) ).
fof(f200,plain,
( $false
| spl2_10 ),
inference(resolution,[],[f187,f109]) ).
fof(f187,plain,
( ~ greater_or_equal(appear(efficient_producers,sK0),appear(efficient_producers,sK0))
| spl2_10 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl2_10
<=> greater_or_equal(appear(efficient_producers,sK0),appear(efficient_producers,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f192,plain,
( ~ spl2_3
| ~ spl2_4
| ~ spl2_10
| ~ spl2_11
| spl2_6 ),
inference(avatar_split_clause,[],[f182,f162,f189,f185,f154,f150]) ).
fof(f182,plain,
( ~ greater(critical_point(sK0),appear(efficient_producers,sK0))
| ~ greater_or_equal(appear(efficient_producers,sK0),appear(efficient_producers,sK0))
| ~ in_environment(sK0,critical_point(sK0))
| ~ environment(sK0)
| spl2_6 ),
inference(resolution,[],[f164,f92]) ).
fof(f92,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(cnf_transformation,[],[f56]) ).
fof(f56,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,[],[f55]) ).
fof(f55,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,[],[f29]) ).
fof(f29,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',mp_critical_time_points) ).
fof(f174,plain,
spl2_4,
inference(avatar_contradiction_clause,[],[f171]) ).
fof(f171,plain,
( $false
| spl2_4 ),
inference(resolution,[],[f156,f105]) ).
fof(f105,plain,
in_environment(sK0,critical_point(sK0)),
inference(cnf_transformation,[],[f78]) ).
fof(f156,plain,
( ~ in_environment(sK0,critical_point(sK0))
| spl2_4 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f170,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f169]) ).
fof(f169,plain,
( $false
| spl2_3 ),
inference(resolution,[],[f152,f104]) ).
fof(f152,plain,
( ~ environment(sK0)
| spl2_3 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f160,plain,
( ~ spl2_3
| ~ spl2_4
| spl2_5 ),
inference(avatar_split_clause,[],[f147,f158,f154,f150]) ).
fof(f147,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| ~ greater_or_equal(critical_point(sK0),X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ in_environment(sK0,critical_point(sK0))
| ~ environment(sK0) ),
inference(resolution,[],[f146,f81]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater_or_equal(X1,X2)
| ~ greater_or_equal(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X2)
| subpopulations(first_movers,efficient_producers,sK0,X1) ),
inference(resolution,[],[f102,f104]) ).
fof(f102,plain,
! [X2,X3,X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| subpopulations(first_movers,efficient_producers,X0,X3) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,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,[],[f67]) ).
fof(f67,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,[],[f36]) ).
fof(f36,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/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159',a10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : MGT034+2 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:04:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.bgeoP7qJPK/Vampire---4.8_7159
% 0.59/0.76 % (7422)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.76 % (7416)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.76 % (7418)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76 % (7419)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.76 % (7420)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.76 % (7417)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.76 % (7421)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.76 % (7423)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.76 % (7420)Refutation not found, incomplete strategy% (7420)------------------------------
% 0.59/0.76 % (7420)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (7420)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76 % (7419)Refutation not found, incomplete strategy% (7419)------------------------------
% 0.59/0.76 % (7419)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76
% 0.59/0.76 % (7420)Memory used [KB]: 1078
% 0.59/0.76 % (7420)Time elapsed: 0.006 s
% 0.59/0.76 % (7420)Instructions burned: 8 (million)
% 0.59/0.76 % (7419)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (7419)Memory used [KB]: 1065
% 0.59/0.76 % (7419)Time elapsed: 0.006 s
% 0.59/0.76 % (7419)Instructions burned: 8 (million)
% 0.59/0.76 % (7420)------------------------------
% 0.59/0.76 % (7420)------------------------------
% 0.59/0.76 % (7419)------------------------------
% 0.59/0.76 % (7419)------------------------------
% 0.59/0.77 % (7424)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.77 % (7425)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 (2996ds/50Mi)
% 0.59/0.77 % (7417)First to succeed.
% 0.59/0.77 % (7418)Also succeeded, but the first one will report.
% 0.59/0.77 % (7424)Refutation not found, incomplete strategy% (7424)------------------------------
% 0.59/0.77 % (7424)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (7424)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (7424)Memory used [KB]: 1117
% 0.59/0.77 % (7424)Time elapsed: 0.007 s
% 0.59/0.77 % (7424)Instructions burned: 7 (million)
% 0.59/0.77 % (7424)------------------------------
% 0.59/0.77 % (7424)------------------------------
% 0.59/0.77 % (7417)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7412"
% 0.59/0.77 % (7417)Refutation found. Thanks to Tanya!
% 0.59/0.77 % SZS status Theorem for Vampire---4
% 0.59/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77 % (7417)------------------------------
% 0.59/0.77 % (7417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (7417)Termination reason: Refutation
% 0.59/0.77
% 0.59/0.77 % (7417)Memory used [KB]: 1210
% 0.59/0.77 % (7417)Time elapsed: 0.016 s
% 0.59/0.77 % (7417)Instructions burned: 23 (million)
% 0.59/0.77 % (7412)Success in time 0.395 s
% 0.59/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------