TSTP Solution File: MGT039+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT039+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n015.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 : Fri Sep 1 19:45:23 EDT 2023
% Result : Theorem 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 114
% Number of leaves : 22
% Syntax : Number of formulae : 308 ( 37 unt; 0 def)
% Number of atoms : 1110 ( 426 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1163 ( 361 ~; 674 |; 90 &)
% ( 2 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 226 (; 213 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1789,plain,
$false,
inference(trivial_inequality_removal,[],[f1779]) ).
fof(f1779,plain,
critical_point(sK2(sK1)) != critical_point(sK2(sK1)),
inference(resolution,[],[f1775,f1486]) ).
fof(f1486,plain,
greater(end_time(sK2(sK1)),critical_point(sK2(sK1))),
inference(superposition,[],[f146,f1475]) ).
fof(f1475,plain,
end_time(sK2(sK1)) = sK3(sK2(sK1)),
inference(subsumption_resolution,[],[f1473,f1444]) ).
fof(f1444,plain,
( ~ greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f1443,f111]) ).
fof(f111,plain,
environment(sK2(sK1)),
inference(unit_resulting_resolution,[],[f107,f85]) ).
fof(f85,plain,
! [X0] :
( ~ sP0(X0)
| environment(sK2(X0)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ( ~ selection_favors(efficient_producers,first_movers,end_time(sK2(X0)))
& in_environment(X0,sK2(X0))
& environment(sK2(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f68,f69]) ).
fof(f69,plain,
! [X0] :
( ? [X1] :
( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
& in_environment(X0,X1)
& environment(X1) )
=> ( ~ selection_favors(efficient_producers,first_movers,end_time(sK2(X0)))
& in_environment(X0,sK2(X0))
& environment(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ? [X1] :
( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
& in_environment(X0,X1)
& environment(X1) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ? [X1] :
( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
& in_environment(X0,X1)
& environment(X1) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f107,plain,
sP0(sK1),
inference(unit_resulting_resolution,[],[f75,f77,f105]) ).
fof(f105,plain,
! [X0] :
( ~ observational_period(X0)
| sP0(X0)
| selection_favors(efficient_producers,first_movers,X0) ),
inference(subsumption_resolution,[],[f104,f81]) ).
fof(f81,plain,
propagation_strategy(first_movers),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',mp_organizational_sets1) ).
fof(f104,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| sP0(X0)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(subsumption_resolution,[],[f88,f82]) ).
fof(f82,plain,
propagation_strategy(efficient_producers),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',mp_organizational_sets2) ).
fof(f88,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| sP0(X0)
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| sP0(X0)
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(definition_folding,[],[f43,f64]) ).
fof(f43,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ? [X1] :
( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
& in_environment(X0,X1)
& environment(X1) )
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ? [X1] :
( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
& in_environment(X0,X1)
& environment(X1) )
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ( ! [X1] :
( ( in_environment(X0,X1)
& environment(X1) )
=> selection_favors(efficient_producers,first_movers,end_time(X1)) )
& propagation_strategy(efficient_producers)
& propagation_strategy(first_movers)
& observational_period(X0) )
=> selection_favors(efficient_producers,first_movers,X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X4] :
( ( ! [X0] :
( ( in_environment(X4,X0)
& environment(X0) )
=> selection_favors(efficient_producers,first_movers,end_time(X0)) )
& propagation_strategy(efficient_producers)
& propagation_strategy(first_movers)
& observational_period(X4) )
=> selection_favors(efficient_producers,first_movers,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',mp3_favoured_trategy) ).
fof(f77,plain,
~ selection_favors(efficient_producers,first_movers,sK1),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ~ selection_favors(efficient_producers,first_movers,sK1)
& slow_change(sK1)
& observational_period(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f35,f66]) ).
fof(f66,plain,
( ? [X0] :
( ~ selection_favors(efficient_producers,first_movers,X0)
& slow_change(X0)
& observational_period(X0) )
=> ( ~ selection_favors(efficient_producers,first_movers,sK1)
& slow_change(sK1)
& observational_period(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0] :
( ~ selection_favors(efficient_producers,first_movers,X0)
& slow_change(X0)
& observational_period(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
? [X0] :
( ~ selection_favors(efficient_producers,first_movers,X0)
& slow_change(X0)
& observational_period(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0] :
( ( slow_change(X0)
& observational_period(X0) )
=> selection_favors(efficient_producers,first_movers,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X4] :
( ( slow_change(X4)
& observational_period(X4) )
=> selection_favors(efficient_producers,first_movers,X4) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X4] :
( ( slow_change(X4)
& observational_period(X4) )
=> selection_favors(efficient_producers,first_movers,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',prove_t8) ).
fof(f75,plain,
observational_period(sK1),
inference(cnf_transformation,[],[f67]) ).
fof(f1443,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| ~ greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| ~ environment(sK2(sK1)) ),
inference(subsumption_resolution,[],[f1441,f109]) ).
fof(f109,plain,
~ selection_favors(efficient_producers,first_movers,end_time(sK2(sK1))),
inference(unit_resulting_resolution,[],[f107,f87]) ).
fof(f87,plain,
! [X0] :
( ~ selection_favors(efficient_producers,first_movers,end_time(sK2(X0)))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f1441,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| ~ greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f1439,f103]) ).
fof(f103,plain,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| selection_favors(X2,X1,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,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,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( selection_favors(X2,X1,X3)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( greater(growth_rate(X2,X3),growth_rate(X1,X3))
& subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> selection_favors(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',mp1_high_growth_rates) ).
fof(f1439,plain,
( subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f1438,f1417]) ).
fof(f1417,plain,
( zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f1414]) ).
fof(f1414,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f1406,f1262]) ).
fof(f1262,plain,
( ~ greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f1261,f109]) ).
fof(f1261,plain,
( zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f1252]) ).
fof(f1252,plain,
( zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f1181,f1151]) ).
fof(f1151,plain,
( subpopulation(efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f1146,f111]) ).
fof(f1146,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| subpopulation(efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f1138,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| subpopulation(efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) )
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) )
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X3] :
( ( in_environment(X0,X3)
& environment(X0) )
=> ( subpopulation(efficient_producers,X0,X3)
& subpopulation(first_movers,X0,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',mp_subpopulations) ).
fof(f1138,plain,
( in_environment(sK2(sK1),end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f1135,f155]) ).
fof(f155,plain,
( greater_or_equal(end_time(sK2(sK1)),critical_point(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f153,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,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,[],[f73]) ).
fof(f73,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,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X6] :
( greater_or_equal(X5,X6)
<=> ( X5 = X6
| greater(X5,X6) ) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',mp_greater_or_equal) ).
fof(f153,plain,
( greater(end_time(sK2(sK1)),critical_point(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f150,f139]) ).
fof(f139,plain,
( greater(end_time(sK2(sK1)),sK3(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f132,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f132,plain,
greater_or_equal(end_time(sK2(sK1)),sK3(sK2(sK1))),
inference(unit_resulting_resolution,[],[f111,f127,f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| greater_or_equal(end_time(X0),X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> greater_or_equal(end_time(X0),X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X3] :
( ( in_environment(X0,X3)
& environment(X0) )
=> greater_or_equal(end_time(X0),X3) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',mp_environment_end_point) ).
fof(f127,plain,
in_environment(sK2(sK1),sK3(sK2(sK1))),
inference(unit_resulting_resolution,[],[f75,f76,f111,f110,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| in_environment(X1,sK3(X1))
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( greater(sK3(X1),critical_point(X1))
& in_environment(X1,sK3(X1)) )
| ~ in_environment(X0,X1)
| ~ environment(X1) )
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f45,f71]) ).
fof(f71,plain,
! [X1] :
( ? [X2] :
( greater(X2,critical_point(X1))
& in_environment(X1,X2) )
=> ( greater(sK3(X1),critical_point(X1))
& in_environment(X1,sK3(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( greater(X2,critical_point(X1))
& in_environment(X1,X2) )
| ~ in_environment(X0,X1)
| ~ environment(X1) )
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( greater(X2,critical_point(X1))
& in_environment(X1,X2) )
| ~ in_environment(X0,X1)
| ~ environment(X1) )
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ( slow_change(X0)
& observational_period(X0) )
=> ! [X1] :
( ( in_environment(X0,X1)
& environment(X1) )
=> ? [X2] :
( greater(X2,critical_point(X1))
& in_environment(X1,X2) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X4] :
( ( slow_change(X4)
& observational_period(X4) )
=> ! [X0] :
( ( in_environment(X4,X0)
& environment(X0) )
=> ? [X3] :
( greater(X3,critical_point(X0))
& in_environment(X0,X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',mp4_critical_point) ).
fof(f110,plain,
in_environment(sK1,sK2(sK1)),
inference(unit_resulting_resolution,[],[f107,f86]) ).
fof(f86,plain,
! [X0] :
( ~ sP0(X0)
| in_environment(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f76,plain,
slow_change(sK1),
inference(cnf_transformation,[],[f67]) ).
fof(f150,plain,
! [X0] :
( ~ greater(X0,sK3(sK2(sK1)))
| greater(X0,critical_point(sK2(sK1))) ),
inference(resolution,[],[f146,f101]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| greater(X0,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X5,X6,X7] :
( ( greater(X6,X7)
& greater(X5,X6) )
=> greater(X5,X7) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',mp_greater_transitivity) ).
fof(f1135,plain,
( ~ greater_or_equal(end_time(sK2(sK1)),critical_point(sK2(sK1)))
| in_environment(sK2(sK1),end_time(sK2(sK1))) ),
inference(subsumption_resolution,[],[f1131,f111]) ).
fof(f1131,plain,
( ~ greater_or_equal(end_time(sK2(sK1)),critical_point(sK2(sK1)))
| in_environment(sK2(sK1),end_time(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(superposition,[],[f145,f1093]) ).
fof(f1093,plain,
critical_point(sK2(sK1)) = start_time(sK2(sK1)),
inference(subsumption_resolution,[],[f1092,f109]) ).
fof(f1092,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f1091]) ).
fof(f1091,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(superposition,[],[f1089,f544]) ).
fof(f544,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(subsumption_resolution,[],[f543,f525]) ).
fof(f525,plain,
( ~ greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(subsumption_resolution,[],[f524,f111]) ).
fof(f524,plain,
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| ~ greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| ~ environment(sK2(sK1)) ),
inference(subsumption_resolution,[],[f522,f109]) ).
fof(f522,plain,
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| ~ greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f520,f103]) ).
fof(f520,plain,
( subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f519,f505]) ).
fof(f505,plain,
( zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f500]) ).
fof(f500,plain,
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(resolution,[],[f498,f426]) ).
fof(f426,plain,
( ~ greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(subsumption_resolution,[],[f425,f109]) ).
fof(f425,plain,
( ~ greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
| zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f422]) ).
fof(f422,plain,
( ~ greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
| zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(resolution,[],[f292,f233]) ).
fof(f233,plain,
( subpopulation(efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(subsumption_resolution,[],[f229,f111]) ).
fof(f229,plain,
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| subpopulation(efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f223,f95]) ).
fof(f223,plain,
( in_environment(sK2(sK1),end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f220,f111]) ).
fof(f220,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| in_environment(sK2(sK1),end_time(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f216,f145]) ).
fof(f216,plain,
( greater_or_equal(end_time(sK2(sK1)),start_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(resolution,[],[f181,f99]) ).
fof(f181,plain,
( greater(end_time(sK2(sK1)),start_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f125,f153]) ).
fof(f125,plain,
! [X0] :
( ~ greater(X0,critical_point(sK2(sK1)))
| greater(X0,start_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(resolution,[],[f122,f101]) ).
fof(f122,plain,
( greater(critical_point(sK2(sK1)),start_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(resolution,[],[f98,f115]) ).
fof(f115,plain,
greater_or_equal(critical_point(sK2(sK1)),start_time(sK2(sK1))),
inference(unit_resulting_resolution,[],[f111,f83]) ).
fof(f83,plain,
! [X0] :
( ~ environment(X0)
| greater_or_equal(critical_point(X0),start_time(X0)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( environment(X0)
=> greater_or_equal(critical_point(X0),start_time(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',mp_time_of_critical_point) ).
fof(f292,plain,
! [X1] :
( ~ subpopulation(X1,sK2(sK1),end_time(sK2(sK1)))
| ~ greater(cardinality_at_time(X1,end_time(sK2(sK1))),zero)
| selection_favors(X1,first_movers,end_time(sK2(sK1)))
| zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(subsumption_resolution,[],[f282,f111]) ).
fof(f282,plain,
! [X1] :
( zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| ~ greater(cardinality_at_time(X1,end_time(sK2(sK1))),zero)
| selection_favors(X1,first_movers,end_time(sK2(sK1)))
| ~ subpopulation(X1,sK2(sK1),end_time(sK2(sK1)))
| ~ environment(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(resolution,[],[f102,f234]) ).
fof(f234,plain,
( subpopulation(first_movers,sK2(sK1),end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(subsumption_resolution,[],[f230,f111]) ).
fof(f230,plain,
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| subpopulation(first_movers,sK2(sK1),end_time(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f223,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| subpopulation(first_movers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f102,plain,
! [X2,X3,X0,X1] :
( ~ subpopulation(X2,X0,X3)
| zero != cardinality_at_time(X2,X3)
| ~ greater(cardinality_at_time(X1,X3),zero)
| selection_favors(X1,X2,X3)
| ~ subpopulation(X1,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( selection_favors(X1,X2,X3)
| zero != cardinality_at_time(X2,X3)
| ~ greater(cardinality_at_time(X1,X3),zero)
| ~ subpopulation(X2,X0,X3)
| ~ subpopulation(X1,X0,X3)
| ~ environment(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( selection_favors(X1,X2,X3)
| zero != cardinality_at_time(X2,X3)
| ~ greater(cardinality_at_time(X1,X3),zero)
| ~ subpopulation(X2,X0,X3)
| ~ subpopulation(X1,X0,X3)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2,X3] :
( ( zero = cardinality_at_time(X2,X3)
& greater(cardinality_at_time(X1,X3),zero)
& subpopulation(X2,X0,X3)
& subpopulation(X1,X0,X3)
& environment(X0) )
=> selection_favors(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',mp2_favour_members) ).
fof(f498,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f495,f223]) ).
fof(f495,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| ~ in_environment(sK2(sK1),end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f493]) ).
fof(f493,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| ~ in_environment(sK2(sK1),end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f481,f155]) ).
fof(f481,plain,
! [X0] :
( ~ greater_or_equal(X0,critical_point(sK2(sK1)))
| greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ in_environment(sK2(sK1),X0)
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f475,f111]) ).
fof(f475,plain,
! [X0] :
( ~ greater_or_equal(X0,critical_point(sK2(sK1)))
| greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ in_environment(sK2(sK1),X0)
| ~ environment(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(superposition,[],[f78,f466]) ).
fof(f466,plain,
( critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f465,f429]) ).
fof(f429,plain,
( zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f428]) ).
fof(f428,plain,
( zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(resolution,[],[f426,f322]) ).
fof(f322,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f321]) ).
fof(f321,plain,
( critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f272,f223]) ).
fof(f272,plain,
( ~ in_environment(sK2(sK1),end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f269,f111]) ).
fof(f269,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| ~ in_environment(sK2(sK1),end_time(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f268,f78]) ).
fof(f268,plain,
( greater_or_equal(end_time(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
inference(resolution,[],[f188,f99]) ).
fof(f188,plain,
( greater(end_time(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f172,f153]) ).
fof(f172,plain,
! [X0] :
( ~ greater(X0,critical_point(sK2(sK1)))
| greater(X0,appear(efficient_producers,sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
inference(resolution,[],[f123,f101]) ).
fof(f123,plain,
( greater(critical_point(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
inference(resolution,[],[f98,f114]) ).
fof(f114,plain,
greater_or_equal(critical_point(sK2(sK1)),appear(efficient_producers,sK2(sK1))),
inference(unit_resulting_resolution,[],[f111,f84]) ).
fof(f84,plain,
! [X0] :
( ~ environment(X0)
| greater_or_equal(critical_point(X0),appear(efficient_producers,X0)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( environment(X0)
=> greater_or_equal(critical_point(X0),appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',mp_critical_point_after_EP) ).
fof(f465,plain,
( critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1))) ),
inference(duplicate_literal_removal,[],[f461]) ).
fof(f461,plain,
( critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(resolution,[],[f460,f395]) ).
fof(f395,plain,
( ~ greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(subsumption_resolution,[],[f394,f111]) ).
fof(f394,plain,
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| ~ greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| ~ environment(sK2(sK1)) ),
inference(subsumption_resolution,[],[f392,f109]) ).
fof(f392,plain,
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| ~ greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f390,f103]) ).
fof(f390,plain,
( subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1))) ),
inference(duplicate_literal_removal,[],[f389]) ).
fof(f389,plain,
( subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1))) ),
inference(resolution,[],[f373,f247]) ).
fof(f247,plain,
( greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1))) ),
inference(resolution,[],[f232,f98]) ).
fof(f232,plain,
( greater_or_equal(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(subsumption_resolution,[],[f228,f111]) ).
fof(f228,plain,
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| greater_or_equal(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f223,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> greater_or_equal(cardinality_at_time(first_movers,X1),zero) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X3] :
( ( in_environment(X0,X3)
& environment(X0) )
=> greater_or_equal(cardinality_at_time(first_movers,X3),zero) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',mp_first_movers_exist) ).
fof(f373,plain,
( ~ greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f372]) ).
fof(f372,plain,
( ~ greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(resolution,[],[f255,f322]) ).
fof(f255,plain,
( ~ greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| ~ greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f250,f111]) ).
fof(f250,plain,
( ~ greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| ~ greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| ~ environment(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f93,f223]) ).
fof(f93,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( greater(cardinality_at_time(efficient_producers,X1),zero)
& greater(cardinality_at_time(first_movers,X1),zero)
& in_environment(X0,X1)
& environment(X0) )
=> subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X3] :
( ( greater(cardinality_at_time(efficient_producers,X3),zero)
& greater(cardinality_at_time(first_movers,X3),zero)
& in_environment(X0,X3)
& environment(X0) )
=> subpopulations(first_movers,efficient_producers,X0,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',mp_contains_FM_and_EP) ).
fof(f460,plain,
( greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f459,f429]) ).
fof(f459,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1)))) ),
inference(trivial_inequality_removal,[],[f458]) ).
fof(f458,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != critical_point(sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f451]) ).
fof(f451,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != critical_point(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f393,f153]) ).
fof(f393,plain,
! [X0] :
( ~ greater(end_time(sK2(sK1)),X0)
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != X0 ),
inference(subsumption_resolution,[],[f391,f111]) ).
fof(f391,plain,
! [X0] :
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| ~ greater(end_time(sK2(sK1)),X0)
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != X0
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f390,f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,X1)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) )
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) )
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( critical_point(X0) = X1
& environment(X0) )
=> ( ! [X2] :
( ( greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X8] :
( ( critical_point(X0) = X8
& environment(X0) )
=> ( ! [X3] :
( ( greater(X3,X8)
& subpopulations(first_movers,efficient_producers,X0,X3) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) )
& ~ greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',d1) ).
fof(f78,plain,
! [X0,X1] :
( ~ greater_or_equal(X1,appear(efficient_producers,X0))
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( greater_or_equal(X1,appear(efficient_producers,X0))
& in_environment(X0,X1)
& environment(X0) )
=> greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X3] :
( ( greater_or_equal(X3,appear(efficient_producers,X0))
& in_environment(X0,X3)
& environment(X0) )
=> greater(cardinality_at_time(efficient_producers,X3),zero) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',t6) ).
fof(f519,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1))) ),
inference(duplicate_literal_removal,[],[f518]) ).
fof(f518,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1))) ),
inference(resolution,[],[f504,f247]) ).
fof(f504,plain,
( ~ greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1))) ),
inference(duplicate_literal_removal,[],[f501]) ).
fof(f501,plain,
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| ~ greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f498,f255]) ).
fof(f543,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1)))) ),
inference(trivial_inequality_removal,[],[f542]) ).
fof(f542,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != critical_point(sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f535]) ).
fof(f535,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != critical_point(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f523,f153]) ).
fof(f523,plain,
! [X0] :
( ~ greater(end_time(sK2(sK1)),X0)
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != X0 ),
inference(subsumption_resolution,[],[f521,f111]) ).
fof(f521,plain,
! [X0] :
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| ~ greater(end_time(sK2(sK1)),X0)
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != X0
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f520,f80]) ).
fof(f1089,plain,
( selection_favors(efficient_producers,first_movers,sK3(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(subsumption_resolution,[],[f1088,f788]) ).
fof(f788,plain,
( zero != cardinality_at_time(first_movers,sK3(sK2(sK1)))
| selection_favors(efficient_producers,first_movers,sK3(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(resolution,[],[f781,f305]) ).
fof(f305,plain,
( ~ greater(cardinality_at_time(efficient_producers,sK3(sK2(sK1))),zero)
| selection_favors(efficient_producers,first_movers,sK3(sK2(sK1)))
| zero != cardinality_at_time(first_movers,sK3(sK2(sK1))) ),
inference(resolution,[],[f300,f130]) ).
fof(f130,plain,
subpopulation(efficient_producers,sK2(sK1),sK3(sK2(sK1))),
inference(unit_resulting_resolution,[],[f111,f127,f95]) ).
fof(f300,plain,
! [X9] :
( ~ subpopulation(X9,sK2(sK1),sK3(sK2(sK1)))
| ~ greater(cardinality_at_time(X9,sK3(sK2(sK1))),zero)
| selection_favors(X9,first_movers,sK3(sK2(sK1)))
| zero != cardinality_at_time(first_movers,sK3(sK2(sK1))) ),
inference(subsumption_resolution,[],[f290,f111]) ).
fof(f290,plain,
! [X9] :
( zero != cardinality_at_time(first_movers,sK3(sK2(sK1)))
| ~ greater(cardinality_at_time(X9,sK3(sK2(sK1))),zero)
| selection_favors(X9,first_movers,sK3(sK2(sK1)))
| ~ subpopulation(X9,sK2(sK1),sK3(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f102,f131]) ).
fof(f131,plain,
subpopulation(first_movers,sK2(sK1),sK3(sK2(sK1))),
inference(unit_resulting_resolution,[],[f111,f127,f94]) ).
fof(f781,plain,
( greater(cardinality_at_time(efficient_producers,sK3(sK2(sK1))),zero)
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(subsumption_resolution,[],[f777,f127]) ).
fof(f777,plain,
( greater(cardinality_at_time(efficient_producers,sK3(sK2(sK1))),zero)
| ~ in_environment(sK2(sK1),sK3(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(resolution,[],[f733,f149]) ).
fof(f149,plain,
greater_or_equal(sK3(sK2(sK1)),critical_point(sK2(sK1))),
inference(unit_resulting_resolution,[],[f146,f99]) ).
fof(f733,plain,
! [X1] :
( ~ greater_or_equal(X1,critical_point(sK2(sK1)))
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(sK2(sK1),X1)
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(subsumption_resolution,[],[f727,f111]) ).
fof(f727,plain,
! [X1] :
( ~ greater_or_equal(X1,critical_point(sK2(sK1)))
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(sK2(sK1),X1)
| ~ environment(sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(superposition,[],[f78,f604]) ).
fof(f604,plain,
( critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(subsumption_resolution,[],[f582,f109]) ).
fof(f582,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
inference(superposition,[],[f385,f544]) ).
fof(f385,plain,
( selection_favors(efficient_producers,first_movers,sK3(sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
inference(subsumption_resolution,[],[f384,f308]) ).
fof(f308,plain,
( zero != cardinality_at_time(first_movers,sK3(sK2(sK1)))
| selection_favors(efficient_producers,first_movers,sK3(sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
inference(resolution,[],[f305,f195]) ).
fof(f195,plain,
( greater(cardinality_at_time(efficient_producers,sK3(sK2(sK1))),zero)
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
inference(subsumption_resolution,[],[f194,f111]) ).
fof(f194,plain,
( critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| greater(cardinality_at_time(efficient_producers,sK3(sK2(sK1))),zero)
| ~ environment(sK2(sK1)) ),
inference(subsumption_resolution,[],[f192,f127]) ).
fof(f192,plain,
( critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| greater(cardinality_at_time(efficient_producers,sK3(sK2(sK1))),zero)
| ~ in_environment(sK2(sK1),sK3(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f191,f78]) ).
fof(f191,plain,
( greater_or_equal(sK3(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
inference(resolution,[],[f189,f99]) ).
fof(f189,plain,
( greater(sK3(sK2(sK1)),appear(efficient_producers,sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
inference(resolution,[],[f172,f146]) ).
fof(f384,plain,
( critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1)))
| selection_favors(efficient_producers,first_movers,sK3(sK2(sK1))) ),
inference(duplicate_literal_removal,[],[f380]) ).
fof(f380,plain,
( critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1)))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| selection_favors(efficient_producers,first_movers,sK3(sK2(sK1))) ),
inference(resolution,[],[f379,f276]) ).
fof(f276,plain,
( ~ greater(growth_rate(efficient_producers,sK3(sK2(sK1))),growth_rate(first_movers,sK3(sK2(sK1))))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| selection_favors(efficient_producers,first_movers,sK3(sK2(sK1))) ),
inference(subsumption_resolution,[],[f275,f111]) ).
fof(f275,plain,
( critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1)))
| ~ greater(growth_rate(efficient_producers,sK3(sK2(sK1))),growth_rate(first_movers,sK3(sK2(sK1))))
| selection_favors(efficient_producers,first_movers,sK3(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f274,f103]) ).
fof(f274,plain,
( subpopulations(first_movers,efficient_producers,sK2(sK1),sK3(sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1))) ),
inference(resolution,[],[f262,f138]) ).
fof(f138,plain,
( greater(cardinality_at_time(first_movers,sK3(sK2(sK1))),zero)
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1))) ),
inference(resolution,[],[f129,f98]) ).
fof(f129,plain,
greater_or_equal(cardinality_at_time(first_movers,sK3(sK2(sK1))),zero),
inference(unit_resulting_resolution,[],[f111,f127,f92]) ).
fof(f262,plain,
( ~ greater(cardinality_at_time(first_movers,sK3(sK2(sK1))),zero)
| subpopulations(first_movers,efficient_producers,sK2(sK1),sK3(sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
inference(resolution,[],[f261,f195]) ).
fof(f261,plain,
( ~ greater(cardinality_at_time(efficient_producers,sK3(sK2(sK1))),zero)
| ~ greater(cardinality_at_time(first_movers,sK3(sK2(sK1))),zero)
| subpopulations(first_movers,efficient_producers,sK2(sK1),sK3(sK2(sK1))) ),
inference(subsumption_resolution,[],[f254,f111]) ).
fof(f254,plain,
( ~ greater(cardinality_at_time(efficient_producers,sK3(sK2(sK1))),zero)
| ~ greater(cardinality_at_time(first_movers,sK3(sK2(sK1))),zero)
| subpopulations(first_movers,efficient_producers,sK2(sK1),sK3(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f93,f127]) ).
fof(f379,plain,
( greater(growth_rate(efficient_producers,sK3(sK2(sK1))),growth_rate(first_movers,sK3(sK2(sK1))))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1))) ),
inference(trivial_inequality_removal,[],[f375]) ).
fof(f375,plain,
( greater(growth_rate(efficient_producers,sK3(sK2(sK1))),growth_rate(first_movers,sK3(sK2(sK1))))
| critical_point(sK2(sK1)) != critical_point(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1))) ),
inference(resolution,[],[f280,f146]) ).
fof(f280,plain,
! [X1] :
( ~ greater(sK3(sK2(sK1)),X1)
| greater(growth_rate(efficient_producers,sK3(sK2(sK1))),growth_rate(first_movers,sK3(sK2(sK1))))
| critical_point(sK2(sK1)) != X1
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1))) ),
inference(subsumption_resolution,[],[f278,f111]) ).
fof(f278,plain,
! [X1] :
( ~ greater(sK3(sK2(sK1)),X1)
| greater(growth_rate(efficient_producers,sK3(sK2(sK1))),growth_rate(first_movers,sK3(sK2(sK1))))
| critical_point(sK2(sK1)) != X1
| ~ environment(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1))) ),
inference(resolution,[],[f80,f274]) ).
fof(f1088,plain,
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1)))
| selection_favors(efficient_producers,first_movers,sK3(sK2(sK1))) ),
inference(duplicate_literal_removal,[],[f1078]) ).
fof(f1078,plain,
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| selection_favors(efficient_producers,first_movers,sK3(sK2(sK1))) ),
inference(resolution,[],[f1076,f850]) ).
fof(f850,plain,
( ~ greater(growth_rate(efficient_producers,sK3(sK2(sK1))),growth_rate(first_movers,sK3(sK2(sK1))))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| selection_favors(efficient_producers,first_movers,sK3(sK2(sK1))) ),
inference(subsumption_resolution,[],[f849,f788]) ).
fof(f849,plain,
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1)))
| ~ greater(growth_rate(efficient_producers,sK3(sK2(sK1))),growth_rate(first_movers,sK3(sK2(sK1))))
| selection_favors(efficient_producers,first_movers,sK3(sK2(sK1))) ),
inference(subsumption_resolution,[],[f845,f111]) ).
fof(f845,plain,
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1)))
| ~ greater(growth_rate(efficient_producers,sK3(sK2(sK1))),growth_rate(first_movers,sK3(sK2(sK1))))
| selection_favors(efficient_producers,first_movers,sK3(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f837,f103]) ).
fof(f837,plain,
( subpopulations(first_movers,efficient_producers,sK2(sK1),sK3(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1))) ),
inference(resolution,[],[f789,f138]) ).
fof(f789,plain,
( ~ greater(cardinality_at_time(first_movers,sK3(sK2(sK1))),zero)
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| subpopulations(first_movers,efficient_producers,sK2(sK1),sK3(sK2(sK1))) ),
inference(resolution,[],[f781,f261]) ).
fof(f1076,plain,
( greater(growth_rate(efficient_producers,sK3(sK2(sK1))),growth_rate(first_movers,sK3(sK2(sK1))))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1))) ),
inference(trivial_inequality_removal,[],[f1070]) ).
fof(f1070,plain,
( zero = cardinality_at_time(first_movers,sK3(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| greater(growth_rate(efficient_producers,sK3(sK2(sK1))),growth_rate(first_movers,sK3(sK2(sK1))))
| critical_point(sK2(sK1)) != critical_point(sK2(sK1)) ),
inference(resolution,[],[f848,f146]) ).
fof(f848,plain,
! [X0] :
( ~ greater(sK3(sK2(sK1)),X0)
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1)))
| critical_point(sK2(sK1)) = start_time(sK2(sK1))
| greater(growth_rate(efficient_producers,sK3(sK2(sK1))),growth_rate(first_movers,sK3(sK2(sK1))))
| critical_point(sK2(sK1)) != X0 ),
inference(subsumption_resolution,[],[f844,f111]) ).
fof(f844,plain,
! [X0] :
( critical_point(sK2(sK1)) = start_time(sK2(sK1))
| zero = cardinality_at_time(first_movers,sK3(sK2(sK1)))
| ~ greater(sK3(sK2(sK1)),X0)
| greater(growth_rate(efficient_producers,sK3(sK2(sK1))),growth_rate(first_movers,sK3(sK2(sK1))))
| critical_point(sK2(sK1)) != X0
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f837,f80]) ).
fof(f145,plain,
! [X0] :
( ~ greater_or_equal(end_time(X0),start_time(X0))
| in_environment(X0,end_time(X0))
| ~ environment(X0) ),
inference(resolution,[],[f96,f106]) ).
fof(f106,plain,
! [X0] : greater_or_equal(X0,X0),
inference(equality_resolution,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f96,plain,
! [X0,X1] :
( ~ greater_or_equal(end_time(X0),X1)
| in_environment(X0,X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ greater_or_equal(end_time(X0),X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ greater_or_equal(end_time(X0),X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( greater_or_equal(end_time(X0),X1)
& greater_or_equal(X1,start_time(X0))
& environment(X0) )
=> in_environment(X0,X1) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X3] :
( ( greater_or_equal(end_time(X0),X3)
& greater_or_equal(X3,start_time(X0))
& environment(X0) )
=> in_environment(X0,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079',mp_time_in_environment) ).
fof(f1181,plain,
! [X0] :
( ~ subpopulation(X0,sK2(sK1),end_time(sK2(sK1)))
| zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| ~ greater(cardinality_at_time(X0,end_time(sK2(sK1))),zero)
| selection_favors(X0,first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f1178,f111]) ).
fof(f1178,plain,
! [X0] :
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| ~ greater(cardinality_at_time(X0,end_time(sK2(sK1))),zero)
| selection_favors(X0,first_movers,end_time(sK2(sK1)))
| ~ subpopulation(X0,sK2(sK1),end_time(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f1150,f102]) ).
fof(f1150,plain,
( subpopulation(first_movers,sK2(sK1),end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f1145,f111]) ).
fof(f1145,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| subpopulation(first_movers,sK2(sK1),end_time(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f1138,f94]) ).
fof(f1406,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f1405,f1138]) ).
fof(f1405,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| ~ in_environment(sK2(sK1),end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f1403]) ).
fof(f1403,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| ~ in_environment(sK2(sK1),end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f1381,f155]) ).
fof(f1381,plain,
! [X2] :
( ~ greater_or_equal(X2,critical_point(sK2(sK1)))
| greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ in_environment(sK2(sK1),X2)
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f1371,f111]) ).
fof(f1371,plain,
! [X2] :
( ~ greater_or_equal(X2,critical_point(sK2(sK1)))
| greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ in_environment(sK2(sK1),X2)
| ~ environment(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(superposition,[],[f78,f1353]) ).
fof(f1353,plain,
( critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f1352,f1273]) ).
fof(f1273,plain,
( zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f1264]) ).
fof(f1264,plain,
( zero != cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f1262,f1147]) ).
fof(f1147,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f1139]) ).
fof(f1139,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f1138,f272]) ).
fof(f1352,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1))) ),
inference(duplicate_literal_removal,[],[f1341]) ).
fof(f1341,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f1340,f1247]) ).
fof(f1247,plain,
( ~ greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f1246,f111]) ).
fof(f1246,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| ~ greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| ~ environment(sK2(sK1)) ),
inference(subsumption_resolution,[],[f1244,f109]) ).
fof(f1244,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| ~ greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f1242,f103]) ).
fof(f1242,plain,
( subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1))) ),
inference(duplicate_literal_removal,[],[f1237]) ).
fof(f1237,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1))) ),
inference(resolution,[],[f1233,f1171]) ).
fof(f1171,plain,
( greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1))) ),
inference(resolution,[],[f1148,f98]) ).
fof(f1148,plain,
( greater_or_equal(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f1143,f111]) ).
fof(f1143,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| greater_or_equal(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f1138,f92]) ).
fof(f1233,plain,
( ~ greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f1224]) ).
fof(f1224,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| ~ greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f1149,f1147]) ).
fof(f1149,plain,
( ~ greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| ~ greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1))) ),
inference(subsumption_resolution,[],[f1144,f111]) ).
fof(f1144,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero)
| ~ greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f1138,f93]) ).
fof(f1340,plain,
( greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
inference(subsumption_resolution,[],[f1338,f1273]) ).
fof(f1338,plain,
( critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1)))) ),
inference(trivial_inequality_removal,[],[f1337]) ).
fof(f1337,plain,
( critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != critical_point(sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f1327]) ).
fof(f1327,plain,
( critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != critical_point(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f1245,f153]) ).
fof(f1245,plain,
! [X0] :
( ~ greater(end_time(sK2(sK1)),X0)
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != X0 ),
inference(subsumption_resolution,[],[f1243,f111]) ).
fof(f1243,plain,
! [X0] :
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1)))
| ~ greater(end_time(sK2(sK1)),X0)
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != X0
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f1242,f80]) ).
fof(f1438,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1))) ),
inference(duplicate_literal_removal,[],[f1433]) ).
fof(f1433,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1)))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| zero = cardinality_at_time(first_movers,end_time(sK2(sK1))) ),
inference(resolution,[],[f1418,f1171]) ).
fof(f1418,plain,
( ~ greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1))) ),
inference(duplicate_literal_removal,[],[f1413]) ).
fof(f1413,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| ~ greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero)
| subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1))) ),
inference(resolution,[],[f1406,f1149]) ).
fof(f1473,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1)))) ),
inference(trivial_inequality_removal,[],[f1472]) ).
fof(f1472,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != critical_point(sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f1463]) ).
fof(f1463,plain,
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != critical_point(sK2(sK1))
| end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
inference(resolution,[],[f1442,f153]) ).
fof(f1442,plain,
! [X0] :
( ~ greater(end_time(sK2(sK1)),X0)
| end_time(sK2(sK1)) = sK3(sK2(sK1))
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != X0 ),
inference(subsumption_resolution,[],[f1440,f111]) ).
fof(f1440,plain,
! [X0] :
( end_time(sK2(sK1)) = sK3(sK2(sK1))
| ~ greater(end_time(sK2(sK1)),X0)
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != X0
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f1439,f80]) ).
fof(f146,plain,
greater(sK3(sK2(sK1)),critical_point(sK2(sK1))),
inference(unit_resulting_resolution,[],[f75,f76,f111,f110,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| greater(sK3(X1),critical_point(X1))
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f1775,plain,
! [X0] :
( ~ greater(end_time(sK2(sK1)),X0)
| critical_point(sK2(sK1)) != X0 ),
inference(subsumption_resolution,[],[f1774,f111]) ).
fof(f1774,plain,
! [X0] :
( ~ greater(end_time(sK2(sK1)),X0)
| critical_point(sK2(sK1)) != X0
| ~ environment(sK2(sK1)) ),
inference(subsumption_resolution,[],[f1772,f1771]) ).
fof(f1771,plain,
~ greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1)))),
inference(unit_resulting_resolution,[],[f111,f109,f1756,f103]) ).
fof(f1756,plain,
subpopulations(first_movers,efficient_producers,sK2(sK1),end_time(sK2(sK1))),
inference(unit_resulting_resolution,[],[f111,f1478,f1737,f1754,f93]) ).
fof(f1754,plain,
greater(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero),
inference(unit_resulting_resolution,[],[f1479,f1741,f98]) ).
fof(f1741,plain,
zero != cardinality_at_time(first_movers,end_time(sK2(sK1))),
inference(unit_resulting_resolution,[],[f111,f1480,f1481,f109,f1737,f102]) ).
fof(f1481,plain,
subpopulation(first_movers,sK2(sK1),end_time(sK2(sK1))),
inference(superposition,[],[f131,f1475]) ).
fof(f1480,plain,
subpopulation(efficient_producers,sK2(sK1),end_time(sK2(sK1))),
inference(superposition,[],[f130,f1475]) ).
fof(f1479,plain,
greater_or_equal(cardinality_at_time(first_movers,end_time(sK2(sK1))),zero),
inference(superposition,[],[f129,f1475]) ).
fof(f1737,plain,
greater(cardinality_at_time(efficient_producers,end_time(sK2(sK1))),zero),
inference(forward_demodulation,[],[f1730,f1475]) ).
fof(f1730,plain,
greater(cardinality_at_time(efficient_producers,sK3(sK2(sK1))),zero),
inference(unit_resulting_resolution,[],[f127,f149,f1705]) ).
fof(f1705,plain,
! [X3] :
( ~ greater_or_equal(X3,critical_point(sK2(sK1)))
| greater(cardinality_at_time(efficient_producers,X3),zero)
| ~ in_environment(sK2(sK1),X3) ),
inference(subsumption_resolution,[],[f1699,f111]) ).
fof(f1699,plain,
! [X3] :
( ~ greater_or_equal(X3,critical_point(sK2(sK1)))
| greater(cardinality_at_time(efficient_producers,X3),zero)
| ~ in_environment(sK2(sK1),X3)
| ~ environment(sK2(sK1)) ),
inference(superposition,[],[f78,f1573]) ).
fof(f1573,plain,
critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)),
inference(subsumption_resolution,[],[f1515,f109]) ).
fof(f1515,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
| critical_point(sK2(sK1)) = appear(efficient_producers,sK2(sK1)) ),
inference(superposition,[],[f385,f1475]) ).
fof(f1478,plain,
in_environment(sK2(sK1),end_time(sK2(sK1))),
inference(superposition,[],[f127,f1475]) ).
fof(f1772,plain,
! [X0] :
( ~ greater(end_time(sK2(sK1)),X0)
| greater(growth_rate(efficient_producers,end_time(sK2(sK1))),growth_rate(first_movers,end_time(sK2(sK1))))
| critical_point(sK2(sK1)) != X0
| ~ environment(sK2(sK1)) ),
inference(resolution,[],[f1756,f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.15 % Problem : MGT039+2 : TPTP v8.1.2. Released v2.0.0.
% 0.15/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n015.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 : Wed Aug 30 17:17:57 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.42 % (6316)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.43 % (6364)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.15/0.43 % (6360)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.15/0.43 % (6361)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.15/0.43 % (6363)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.15/0.43 % (6362)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.15/0.43 % (6365)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.15/0.43 % (6366)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.15/0.43 TRYING [1]
% 0.15/0.43 TRYING [2]
% 0.15/0.43 TRYING [1]
% 0.15/0.43 TRYING [2]
% 0.15/0.44 TRYING [3]
% 0.15/0.44 TRYING [3]
% 0.21/0.47 % (6366)First to succeed.
% 0.21/0.48 % (6366)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Theorem for Vampire---4
% 0.21/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.48 % (6366)------------------------------
% 0.21/0.48 % (6366)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.48 % (6366)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.48 % (6366)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (6366)Memory used [KB]: 1535
% 0.21/0.48 % (6366)Time elapsed: 0.052 s
% 0.21/0.48 % (6366)------------------------------
% 0.21/0.48 % (6366)------------------------------
% 0.21/0.48 % (6316)Success in time 0.114 s
% 0.21/0.48 6362 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.MZonQXhP5j/Vampire---4.8_6079
% 0.21/0.48 % (6362)------------------------------
% 0.21/0.48 % (6362)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.48 % (6362)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.48 % (6362)Termination reason: Unknown
% 0.21/0.48 % (6362)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (6362)Memory used [KB]: 5373
% 0.21/0.48 % (6362)Time elapsed: 0.058 s
% 0.21/0.48 % (6362)------------------------------
% 0.21/0.48 % (6362)------------------------------
% 0.21/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------