TSTP Solution File: MGT039+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---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 : n008.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 : Thu Aug 31 09:17:54 EDT 2023
% Result : Theorem 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 213
% Number of leaves : 21
% Syntax : Number of formulae : 395 ( 30 unt; 0 def)
% Number of atoms : 1504 ( 499 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1654 ( 545 ~; 985 |; 86 &)
% ( 2 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 273 (; 262 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f827,plain,
$false,
inference(subsumption_resolution,[],[f826,f72]) ).
fof(f72,plain,
observational_period(sK0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ~ selection_favors(efficient_producers,first_movers,sK0)
& slow_change(sK0)
& observational_period(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f35,f64]) ).
fof(f64,plain,
( ? [X0] :
( ~ selection_favors(efficient_producers,first_movers,X0)
& slow_change(X0)
& observational_period(X0) )
=> ( ~ selection_favors(efficient_producers,first_movers,sK0)
& slow_change(sK0)
& observational_period(sK0) ) ),
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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',prove_t8) ).
fof(f826,plain,
~ observational_period(sK0),
inference(subsumption_resolution,[],[f825,f74]) ).
fof(f74,plain,
~ selection_favors(efficient_producers,first_movers,sK0),
inference(cnf_transformation,[],[f65]) ).
fof(f825,plain,
( selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f823,f104]) ).
fof(f104,plain,
! [X0] :
( ~ selection_favors(efficient_producers,first_movers,end_time(sK1(X0)))
| selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0) ),
inference(subsumption_resolution,[],[f103,f78]) ).
fof(f78,plain,
propagation_strategy(first_movers),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',mp_organizational_sets1) ).
fof(f103,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK1(X0)))
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(subsumption_resolution,[],[f84,f79]) ).
fof(f79,plain,
propagation_strategy(efficient_producers),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',mp_organizational_sets2) ).
fof(f84,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK1(X0)))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ( ~ selection_favors(efficient_producers,first_movers,end_time(sK1(X0)))
& in_environment(X0,sK1(X0))
& environment(sK1(X0)) )
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f43,f66]) ).
fof(f66,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(sK1(X0)))
& in_environment(X0,sK1(X0))
& environment(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',mp3_favoured_trategy) ).
fof(f823,plain,
selection_favors(efficient_producers,first_movers,end_time(sK1(sK0))),
inference(subsumption_resolution,[],[f821,f707]) ).
fof(f707,plain,
subpopulation(efficient_producers,sK1(sK0),end_time(sK1(sK0))),
inference(backward_demodulation,[],[f128,f703]) ).
fof(f703,plain,
end_time(sK1(sK0)) = sK2(sK1(sK0)),
inference(subsumption_resolution,[],[f702,f72]) ).
fof(f702,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ observational_period(sK0) ),
inference(subsumption_resolution,[],[f701,f74]) ).
fof(f701,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f699,f104]) ).
fof(f699,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(subsumption_resolution,[],[f698,f587]) ).
fof(f587,plain,
( subpopulation(efficient_producers,sK1(sK0),end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(resolution,[],[f581,f115]) ).
fof(f115,plain,
! [X0] :
( ~ in_environment(sK1(sK0),X0)
| subpopulation(efficient_producers,sK1(sK0),X0) ),
inference(resolution,[],[f114,f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| subpopulation(efficient_producers,X0,X1) ),
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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',mp_subpopulations) ).
fof(f114,plain,
environment(sK1(sK0)),
inference(subsumption_resolution,[],[f113,f74]) ).
fof(f113,plain,
( environment(sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0) ),
inference(resolution,[],[f108,f72]) ).
fof(f108,plain,
! [X0] :
( ~ observational_period(X0)
| environment(sK1(X0))
| selection_favors(efficient_producers,first_movers,X0) ),
inference(subsumption_resolution,[],[f107,f78]) ).
fof(f107,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| environment(sK1(X0))
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(subsumption_resolution,[],[f82,f79]) ).
fof(f82,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| environment(sK1(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f581,plain,
( in_environment(sK1(sK0),end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(resolution,[],[f572,f161]) ).
fof(f161,plain,
( greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(resolution,[],[f160,f117]) ).
fof(f117,plain,
! [X2] :
( ~ in_environment(sK1(sK0),X2)
| greater_or_equal(end_time(sK1(sK0)),X2) ),
inference(resolution,[],[f114,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| greater_or_equal(end_time(X0),X1) ),
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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',mp_environment_end_point) ).
fof(f160,plain,
( in_environment(sK1(sK0),critical_point(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(subsumption_resolution,[],[f158,f114]) ).
fof(f158,plain,
( in_environment(sK1(sK0),critical_point(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ environment(sK1(sK0)) ),
inference(resolution,[],[f152,f80]) ).
fof(f80,plain,
! [X0] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',mp_time_of_critical_point) ).
fof(f152,plain,
( ~ greater_or_equal(critical_point(sK1(sK0)),start_time(sK1(sK0)))
| in_environment(sK1(sK0),critical_point(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(resolution,[],[f145,f136]) ).
fof(f136,plain,
! [X0] :
( ~ greater(end_time(sK1(sK0)),X0)
| in_environment(sK1(sK0),X0)
| ~ greater_or_equal(X0,start_time(sK1(sK0))) ),
inference(resolution,[],[f132,f95]) ).
fof(f95,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,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,[],[f70]) ).
fof(f70,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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',mp_greater_or_equal) ).
fof(f132,plain,
! [X0] :
( ~ greater_or_equal(end_time(sK1(sK0)),X0)
| ~ greater_or_equal(X0,start_time(sK1(sK0)))
| in_environment(sK1(sK0),X0) ),
inference(resolution,[],[f92,f114]) ).
fof(f92,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(end_time(X0),X1)
| ~ greater_or_equal(X1,start_time(X0))
| in_environment(X0,X1) ),
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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',mp_time_in_environment) ).
fof(f145,plain,
( greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(resolution,[],[f144,f139]) ).
fof(f139,plain,
! [X0] :
( ~ greater(sK2(sK1(sK0)),X0)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| greater(end_time(sK1(sK0)),X0) ),
inference(resolution,[],[f131,f97]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',mp_greater_transitivity) ).
fof(f131,plain,
( greater(end_time(sK1(sK0)),sK2(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(resolution,[],[f126,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f71]) ).
fof(f126,plain,
greater_or_equal(end_time(sK1(sK0)),sK2(sK1(sK0))),
inference(resolution,[],[f125,f117]) ).
fof(f125,plain,
in_environment(sK1(sK0),sK2(sK1(sK0))),
inference(subsumption_resolution,[],[f124,f114]) ).
fof(f124,plain,
( ~ environment(sK1(sK0))
| in_environment(sK1(sK0),sK2(sK1(sK0))) ),
inference(resolution,[],[f123,f119]) ).
fof(f119,plain,
in_environment(sK0,sK1(sK0)),
inference(subsumption_resolution,[],[f118,f74]) ).
fof(f118,plain,
( in_environment(sK0,sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0) ),
inference(resolution,[],[f106,f72]) ).
fof(f106,plain,
! [X0] :
( ~ observational_period(X0)
| in_environment(X0,sK1(X0))
| selection_favors(efficient_producers,first_movers,X0) ),
inference(subsumption_resolution,[],[f105,f78]) ).
fof(f105,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sK1(X0))
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(subsumption_resolution,[],[f83,f79]) ).
fof(f83,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sK1(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f123,plain,
! [X0] :
( ~ in_environment(sK0,X0)
| ~ environment(X0)
| in_environment(X0,sK2(X0)) ),
inference(subsumption_resolution,[],[f122,f72]) ).
fof(f122,plain,
! [X0] :
( ~ in_environment(sK0,X0)
| ~ environment(X0)
| in_environment(X0,sK2(X0))
| ~ observational_period(sK0) ),
inference(resolution,[],[f85,f73]) ).
fof(f73,plain,
slow_change(sK0),
inference(cnf_transformation,[],[f65]) ).
fof(f85,plain,
! [X0,X1] :
( ~ slow_change(X0)
| ~ in_environment(X0,X1)
| ~ environment(X1)
| in_environment(X1,sK2(X1))
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( greater(sK2(X1),critical_point(X1))
& in_environment(X1,sK2(X1)) )
| ~ in_environment(X0,X1)
| ~ environment(X1) )
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f45,f68]) ).
fof(f68,plain,
! [X1] :
( ? [X2] :
( greater(X2,critical_point(X1))
& in_environment(X1,X2) )
=> ( greater(sK2(X1),critical_point(X1))
& in_environment(X1,sK2(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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',mp4_critical_point) ).
fof(f144,plain,
greater(sK2(sK1(sK0)),critical_point(sK1(sK0))),
inference(subsumption_resolution,[],[f143,f114]) ).
fof(f143,plain,
( ~ environment(sK1(sK0))
| greater(sK2(sK1(sK0)),critical_point(sK1(sK0))) ),
inference(resolution,[],[f142,f119]) ).
fof(f142,plain,
! [X0] :
( ~ in_environment(sK0,X0)
| ~ environment(X0)
| greater(sK2(X0),critical_point(X0)) ),
inference(subsumption_resolution,[],[f141,f72]) ).
fof(f141,plain,
! [X0] :
( ~ in_environment(sK0,X0)
| ~ environment(X0)
| greater(sK2(X0),critical_point(X0))
| ~ observational_period(sK0) ),
inference(resolution,[],[f86,f73]) ).
fof(f86,plain,
! [X0,X1] :
( ~ slow_change(X0)
| ~ in_environment(X0,X1)
| ~ environment(X1)
| greater(sK2(X1),critical_point(X1))
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f572,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| in_environment(sK1(sK0),end_time(sK1(sK0))) ),
inference(backward_demodulation,[],[f135,f570]) ).
fof(f570,plain,
start_time(sK1(sK0)) = critical_point(sK1(sK0)),
inference(subsumption_resolution,[],[f569,f72]) ).
fof(f569,plain,
( start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ observational_period(sK0) ),
inference(subsumption_resolution,[],[f568,f74]) ).
fof(f568,plain,
( start_time(sK1(sK0)) = critical_point(sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f566,f104]) ).
fof(f566,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f565,f373]) ).
fof(f373,plain,
( subpopulation(efficient_producers,sK1(sK0),end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(superposition,[],[f128,f369]) ).
fof(f369,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f368,f72]) ).
fof(f368,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ observational_period(sK0) ),
inference(subsumption_resolution,[],[f367,f74]) ).
fof(f367,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f365,f104]) ).
fof(f365,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f364,f191]) ).
fof(f191,plain,
( subpopulation(efficient_producers,sK1(sK0),end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(resolution,[],[f183,f115]) ).
fof(f183,plain,
( in_environment(sK1(sK0),end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(resolution,[],[f150,f137]) ).
fof(f137,plain,
( ~ greater(end_time(sK1(sK0)),start_time(sK1(sK0)))
| in_environment(sK1(sK0),end_time(sK1(sK0))) ),
inference(resolution,[],[f135,f95]) ).
fof(f150,plain,
( greater(end_time(sK1(sK0)),start_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(resolution,[],[f148,f139]) ).
fof(f148,plain,
( greater(sK2(sK1(sK0)),start_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f147,f114]) ).
fof(f147,plain,
( greater(sK2(sK1(sK0)),start_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ environment(sK1(sK0)) ),
inference(resolution,[],[f146,f111]) ).
fof(f111,plain,
! [X3] :
( greater(critical_point(X3),start_time(X3))
| critical_point(X3) = start_time(X3)
| ~ environment(X3) ),
inference(resolution,[],[f94,f80]) ).
fof(f146,plain,
! [X0] :
( ~ greater(critical_point(sK1(sK0)),X0)
| greater(sK2(sK1(sK0)),X0) ),
inference(resolution,[],[f144,f97]) ).
fof(f364,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(efficient_producers,sK1(sK0),end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f361]) ).
fof(f361,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(efficient_producers,sK1(sK0),end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(resolution,[],[f360,f322]) ).
fof(f322,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(subsumption_resolution,[],[f320,f161]) ).
fof(f320,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(duplicate_literal_removal,[],[f309]) ).
fof(f309,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(superposition,[],[f188,f301]) ).
fof(f301,plain,
( critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(subsumption_resolution,[],[f300,f72]) ).
fof(f300,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ observational_period(sK0) ),
inference(subsumption_resolution,[],[f299,f74]) ).
fof(f299,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f298,f104]) ).
fof(f298,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(subsumption_resolution,[],[f296,f251]) ).
fof(f251,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f250]) ).
fof(f250,plain,
( start_time(sK1(sK0)) = critical_point(sK1(sK0))
| greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(resolution,[],[f248,f170]) ).
fof(f170,plain,
( greater(end_time(sK1(sK0)),appear(efficient_producers,sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(resolution,[],[f169,f153]) ).
fof(f153,plain,
! [X0] :
( ~ greater(critical_point(sK1(sK0)),X0)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| greater(end_time(sK1(sK0)),X0) ),
inference(resolution,[],[f145,f97]) ).
fof(f169,plain,
( greater(critical_point(sK1(sK0)),appear(efficient_producers,sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(resolution,[],[f112,f114]) ).
fof(f112,plain,
! [X4] :
( ~ environment(X4)
| critical_point(X4) = appear(efficient_producers,X4)
| greater(critical_point(X4),appear(efficient_producers,X4)) ),
inference(resolution,[],[f94,f81]) ).
fof(f81,plain,
! [X0] :
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',mp_critical_point_after_EP) ).
fof(f248,plain,
( ~ greater(end_time(sK1(sK0)),appear(efficient_producers,sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(resolution,[],[f188,f95]) ).
fof(f296,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f295]) ).
fof(f295,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(resolution,[],[f293,f191]) ).
fof(f293,plain,
! [X0] :
( ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(subsumption_resolution,[],[f292,f114]) ).
fof(f292,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f291]) ).
fof(f291,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(resolution,[],[f288,f190]) ).
fof(f190,plain,
( subpopulation(first_movers,sK1(sK0),end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(resolution,[],[f183,f116]) ).
fof(f116,plain,
! [X1] :
( ~ in_environment(sK1(sK0),X1)
| subpopulation(first_movers,sK1(sK0),X1) ),
inference(resolution,[],[f114,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| subpopulation(first_movers,X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f288,plain,
! [X0,X1] :
( ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(trivial_inequality_removal,[],[f287]) ).
fof(f287,plain,
! [X0,X1] :
( zero != zero
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(superposition,[],[f98,f283]) ).
fof(f283,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(subsumption_resolution,[],[f282,f72]) ).
fof(f282,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ observational_period(sK0) ),
inference(subsumption_resolution,[],[f281,f74]) ).
fof(f281,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f280,f104]) ).
fof(f280,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(subsumption_resolution,[],[f279,f183]) ).
fof(f279,plain,
( start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ in_environment(sK1(sK0),end_time(sK1(sK0))) ),
inference(subsumption_resolution,[],[f278,f200]) ).
fof(f200,plain,
( greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0))) ),
inference(resolution,[],[f193,f94]) ).
fof(f193,plain,
( greater_or_equal(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f192,f114]) ).
fof(f192,plain,
( start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| greater_or_equal(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ environment(sK1(sK0)) ),
inference(resolution,[],[f183,f88]) ).
fof(f88,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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',mp_first_movers_exist) ).
fof(f278,plain,
( start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ in_environment(sK1(sK0),end_time(sK1(sK0))) ),
inference(subsumption_resolution,[],[f277,f251]) ).
fof(f277,plain,
( start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f276,f114]) ).
fof(f276,plain,
( start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ environment(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(resolution,[],[f274,f212]) ).
fof(f212,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,sK1(sK0),X0)
| ~ greater(cardinality_at_time(first_movers,X0),zero)
| ~ in_environment(sK1(sK0),X0)
| ~ greater(cardinality_at_time(efficient_producers,X0),zero) ),
inference(resolution,[],[f89,f114]) ).
fof(f89,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| subpopulations(first_movers,efficient_producers,X0,X1) ),
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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',mp_contains_FM_and_EP) ).
fof(f274,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ environment(X0) ),
inference(resolution,[],[f273,f99]) ).
fof(f99,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,[],[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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',mp1_high_growth_rates) ).
fof(f273,plain,
( greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0))))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0))) ),
inference(duplicate_literal_removal,[],[f272]) ).
fof(f272,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0))))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0))) ),
inference(resolution,[],[f255,f200]) ).
fof(f255,plain,
( ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0)))) ),
inference(subsumption_resolution,[],[f254,f145]) ).
fof(f254,plain,
( start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0)))) ),
inference(subsumption_resolution,[],[f252,f183]) ).
fof(f252,plain,
( start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0)))) ),
inference(resolution,[],[f251,f214]) ).
fof(f214,plain,
! [X0] :
( ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ in_environment(sK1(sK0),X0)
| ~ greater(cardinality_at_time(first_movers,X0),zero)
| ~ greater(X0,critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(subsumption_resolution,[],[f213,f114]) ).
fof(f213,plain,
! [X0] :
( ~ greater(cardinality_at_time(first_movers,X0),zero)
| ~ in_environment(sK1(sK0),X0)
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater(X0,critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ environment(sK1(sK0)) ),
inference(resolution,[],[f212,f100]) ).
fof(f100,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,critical_point(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X0) ),
inference(equality_resolution,[],[f77]) ).
fof(f77,plain,
! [X2,X0,X1] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',d1) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( zero != cardinality_at_time(X2,X3)
| selection_favors(X1,X2,X3)
| ~ greater(cardinality_at_time(X1,X3),zero)
| ~ subpopulation(X2,X0,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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',mp2_favour_members) ).
fof(f188,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),appear(efficient_producers,sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(resolution,[],[f183,f175]) ).
fof(f175,plain,
! [X0] :
( ~ in_environment(sK1(sK0),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sK1(sK0)))
| greater(cardinality_at_time(efficient_producers,X0),zero) ),
inference(resolution,[],[f75,f114]) ).
fof(f75,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| greater(cardinality_at_time(efficient_producers,X1),zero) ),
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/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689',t6) ).
fof(f360,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f359,f114]) ).
fof(f359,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f358]) ).
fof(f358,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(resolution,[],[f355,f190]) ).
fof(f355,plain,
! [X0,X1] :
( ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(trivial_inequality_removal,[],[f354]) ).
fof(f354,plain,
! [X0,X1] :
( zero != zero
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(superposition,[],[f98,f351]) ).
fof(f351,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f350,f72]) ).
fof(f350,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ observational_period(sK0) ),
inference(subsumption_resolution,[],[f349,f74]) ).
fof(f349,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f348,f104]) ).
fof(f348,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f347,f322]) ).
fof(f347,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f346,f200]) ).
fof(f346,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f345,f183]) ).
fof(f345,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f344,f114]) ).
fof(f344,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ environment(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(resolution,[],[f337,f212]) ).
fof(f337,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ environment(X0) ),
inference(resolution,[],[f334,f99]) ).
fof(f334,plain,
( greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0))))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0))) ),
inference(duplicate_literal_removal,[],[f333]) ).
fof(f333,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0))))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0))) ),
inference(resolution,[],[f330,f200]) ).
fof(f330,plain,
( ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0)))) ),
inference(subsumption_resolution,[],[f329,f145]) ).
fof(f329,plain,
( start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0)))) ),
inference(subsumption_resolution,[],[f327,f183]) ).
fof(f327,plain,
( start_time(sK1(sK0)) = critical_point(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0)))) ),
inference(resolution,[],[f322,f214]) ).
fof(f565,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(efficient_producers,sK1(sK0),end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f562]) ).
fof(f562,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(efficient_producers,sK1(sK0),end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(resolution,[],[f561,f516]) ).
fof(f516,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f514,f439]) ).
fof(f439,plain,
( greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(resolution,[],[f437,f117]) ).
fof(f437,plain,
( in_environment(sK1(sK0),critical_point(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f435,f114]) ).
fof(f435,plain,
( in_environment(sK1(sK0),critical_point(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ environment(sK1(sK0)) ),
inference(resolution,[],[f401,f80]) ).
fof(f401,plain,
( ~ greater_or_equal(critical_point(sK1(sK0)),start_time(sK1(sK0)))
| in_environment(sK1(sK0),critical_point(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(resolution,[],[f378,f136]) ).
fof(f378,plain,
( greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(superposition,[],[f144,f369]) ).
fof(f514,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f506]) ).
fof(f506,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(superposition,[],[f381,f495]) ).
fof(f495,plain,
( critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f494,f72]) ).
fof(f494,plain,
( critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ observational_period(sK0) ),
inference(subsumption_resolution,[],[f493,f74]) ).
fof(f493,plain,
( critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f492,f104]) ).
fof(f492,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f490,f383]) ).
fof(f383,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(superposition,[],[f179,f369]) ).
fof(f179,plain,
( greater(cardinality_at_time(efficient_producers,sK2(sK1(sK0))),zero)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(resolution,[],[f178,f171]) ).
fof(f171,plain,
( greater(sK2(sK1(sK0)),appear(efficient_producers,sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(resolution,[],[f169,f146]) ).
fof(f178,plain,
( ~ greater(sK2(sK1(sK0)),appear(efficient_producers,sK1(sK0)))
| greater(cardinality_at_time(efficient_producers,sK2(sK1(sK0))),zero) ),
inference(resolution,[],[f176,f95]) ).
fof(f176,plain,
( ~ greater_or_equal(sK2(sK1(sK0)),appear(efficient_producers,sK1(sK0)))
| greater(cardinality_at_time(efficient_producers,sK2(sK1(sK0))),zero) ),
inference(resolution,[],[f175,f125]) ).
fof(f490,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f489]) ).
fof(f489,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(resolution,[],[f487,f373]) ).
fof(f487,plain,
! [X0] :
( ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f486,f114]) ).
fof(f486,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f485]) ).
fof(f485,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(resolution,[],[f471,f372]) ).
fof(f372,plain,
( subpopulation(first_movers,sK1(sK0),end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(superposition,[],[f127,f369]) ).
fof(f127,plain,
subpopulation(first_movers,sK1(sK0),sK2(sK1(sK0))),
inference(resolution,[],[f125,f116]) ).
fof(f471,plain,
! [X0,X1] :
( ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(trivial_inequality_removal,[],[f470]) ).
fof(f470,plain,
! [X0,X1] :
( zero != zero
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(superposition,[],[f98,f467]) ).
fof(f467,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f466,f72]) ).
fof(f466,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ observational_period(sK0) ),
inference(subsumption_resolution,[],[f465,f74]) ).
fof(f465,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f389,f104]) ).
fof(f389,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(superposition,[],[f260,f369]) ).
fof(f260,plain,
( selection_favors(efficient_producers,first_movers,sK2(sK1(sK0)))
| zero = cardinality_at_time(first_movers,sK2(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(subsumption_resolution,[],[f259,f133]) ).
fof(f133,plain,
( greater(cardinality_at_time(first_movers,sK2(sK1(sK0))),zero)
| zero = cardinality_at_time(first_movers,sK2(sK1(sK0))) ),
inference(resolution,[],[f130,f94]) ).
fof(f130,plain,
greater_or_equal(cardinality_at_time(first_movers,sK2(sK1(sK0))),zero),
inference(subsumption_resolution,[],[f129,f114]) ).
fof(f129,plain,
( greater_or_equal(cardinality_at_time(first_movers,sK2(sK1(sK0))),zero)
| ~ environment(sK1(sK0)) ),
inference(resolution,[],[f125,f88]) ).
fof(f259,plain,
( zero = cardinality_at_time(first_movers,sK2(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,sK2(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,sK2(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f258,f179]) ).
fof(f258,plain,
( zero = cardinality_at_time(first_movers,sK2(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,sK2(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,sK2(sK1(sK0))),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK2(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f257,f125]) ).
fof(f257,plain,
( zero = cardinality_at_time(first_movers,sK2(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,sK2(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,sK2(sK1(sK0))),zero)
| ~ in_environment(sK1(sK0),sK2(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,sK2(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f256,f114]) ).
fof(f256,plain,
( zero = cardinality_at_time(first_movers,sK2(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,sK2(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ environment(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,sK2(sK1(sK0))),zero)
| ~ in_environment(sK1(sK0),sK2(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,sK2(sK1(sK0))),zero) ),
inference(resolution,[],[f221,f212]) ).
fof(f221,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sK2(sK1(sK0)))
| zero = cardinality_at_time(first_movers,sK2(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,sK2(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ environment(X0) ),
inference(resolution,[],[f220,f99]) ).
fof(f220,plain,
( greater(growth_rate(efficient_producers,sK2(sK1(sK0))),growth_rate(first_movers,sK2(sK1(sK0))))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| zero = cardinality_at_time(first_movers,sK2(sK1(sK0))) ),
inference(resolution,[],[f218,f133]) ).
fof(f218,plain,
( ~ greater(cardinality_at_time(first_movers,sK2(sK1(sK0))),zero)
| greater(growth_rate(efficient_producers,sK2(sK1(sK0))),growth_rate(first_movers,sK2(sK1(sK0))))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(subsumption_resolution,[],[f217,f144]) ).
fof(f217,plain,
( ~ greater(cardinality_at_time(first_movers,sK2(sK1(sK0))),zero)
| ~ greater(sK2(sK1(sK0)),critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,sK2(sK1(sK0))),growth_rate(first_movers,sK2(sK1(sK0))))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(subsumption_resolution,[],[f215,f125]) ).
fof(f215,plain,
( ~ in_environment(sK1(sK0),sK2(sK1(sK0)))
| ~ greater(cardinality_at_time(first_movers,sK2(sK1(sK0))),zero)
| ~ greater(sK2(sK1(sK0)),critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,sK2(sK1(sK0))),growth_rate(first_movers,sK2(sK1(sK0))))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(resolution,[],[f214,f179]) ).
fof(f381,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),appear(efficient_producers,sK1(sK0)))
| greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(superposition,[],[f176,f369]) ).
fof(f561,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f560,f114]) ).
fof(f560,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f559]) ).
fof(f559,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(resolution,[],[f556,f372]) ).
fof(f556,plain,
! [X0,X1] :
( ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(trivial_inequality_removal,[],[f555]) ).
fof(f555,plain,
! [X0,X1] :
( zero != zero
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(superposition,[],[f98,f552]) ).
fof(f552,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f551,f72]) ).
fof(f551,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ observational_period(sK0) ),
inference(subsumption_resolution,[],[f550,f74]) ).
fof(f550,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f549,f104]) ).
fof(f549,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f548]) ).
fof(f548,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(superposition,[],[f547,f369]) ).
fof(f547,plain,
( selection_favors(efficient_producers,first_movers,sK2(sK1(sK0)))
| zero = cardinality_at_time(first_movers,sK2(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f546,f515]) ).
fof(f515,plain,
( greater(cardinality_at_time(efficient_producers,sK2(sK1(sK0))),zero)
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(subsumption_resolution,[],[f502,f144]) ).
fof(f502,plain,
( ~ greater(sK2(sK1(sK0)),critical_point(sK1(sK0)))
| greater(cardinality_at_time(efficient_producers,sK2(sK1(sK0))),zero)
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(superposition,[],[f178,f495]) ).
fof(f546,plain,
( selection_favors(efficient_producers,first_movers,sK2(sK1(sK0)))
| zero = cardinality_at_time(first_movers,sK2(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ greater(cardinality_at_time(efficient_producers,sK2(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f545,f133]) ).
fof(f545,plain,
( selection_favors(efficient_producers,first_movers,sK2(sK1(sK0)))
| zero = cardinality_at_time(first_movers,sK2(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,sK2(sK1(sK0))),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK2(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f542,f125]) ).
fof(f542,plain,
( selection_favors(efficient_producers,first_movers,sK2(sK1(sK0)))
| zero = cardinality_at_time(first_movers,sK2(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,sK2(sK1(sK0))),zero)
| ~ in_environment(sK1(sK0),sK2(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,sK2(sK1(sK0))),zero) ),
inference(resolution,[],[f541,f212]) ).
fof(f541,plain,
( ~ subpopulations(first_movers,efficient_producers,sK1(sK0),sK2(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,sK2(sK1(sK0)))
| zero = cardinality_at_time(first_movers,sK2(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(resolution,[],[f533,f114]) ).
fof(f533,plain,
! [X0] :
( ~ environment(X0)
| zero = cardinality_at_time(first_movers,sK2(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,sK2(sK1(sK0)))
| ~ subpopulations(first_movers,efficient_producers,X0,sK2(sK1(sK0)))
| start_time(sK1(sK0)) = critical_point(sK1(sK0)) ),
inference(resolution,[],[f528,f99]) ).
fof(f528,plain,
( greater(growth_rate(efficient_producers,sK2(sK1(sK0))),growth_rate(first_movers,sK2(sK1(sK0))))
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| zero = cardinality_at_time(first_movers,sK2(sK1(sK0))) ),
inference(resolution,[],[f522,f133]) ).
fof(f522,plain,
( ~ greater(cardinality_at_time(first_movers,sK2(sK1(sK0))),zero)
| start_time(sK1(sK0)) = critical_point(sK1(sK0))
| greater(growth_rate(efficient_producers,sK2(sK1(sK0))),growth_rate(first_movers,sK2(sK1(sK0)))) ),
inference(subsumption_resolution,[],[f521,f144]) ).
fof(f521,plain,
( start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,sK2(sK1(sK0))),zero)
| ~ greater(sK2(sK1(sK0)),critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,sK2(sK1(sK0))),growth_rate(first_movers,sK2(sK1(sK0)))) ),
inference(subsumption_resolution,[],[f517,f125]) ).
fof(f517,plain,
( start_time(sK1(sK0)) = critical_point(sK1(sK0))
| ~ in_environment(sK1(sK0),sK2(sK1(sK0)))
| ~ greater(cardinality_at_time(first_movers,sK2(sK1(sK0))),zero)
| ~ greater(sK2(sK1(sK0)),critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,sK2(sK1(sK0))),growth_rate(first_movers,sK2(sK1(sK0)))) ),
inference(resolution,[],[f515,f214]) ).
fof(f135,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),start_time(sK1(sK0)))
| in_environment(sK1(sK0),end_time(sK1(sK0))) ),
inference(resolution,[],[f132,f102]) ).
fof(f102,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f71]) ).
fof(f698,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(efficient_producers,sK1(sK0),end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f695]) ).
fof(f695,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(efficient_producers,sK1(sK0),end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(resolution,[],[f694,f657]) ).
fof(f657,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(subsumption_resolution,[],[f655,f161]) ).
fof(f655,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(duplicate_literal_removal,[],[f651]) ).
fof(f651,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(superposition,[],[f584,f644]) ).
fof(f644,plain,
( critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(subsumption_resolution,[],[f643,f72]) ).
fof(f643,plain,
( critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ observational_period(sK0) ),
inference(subsumption_resolution,[],[f642,f74]) ).
fof(f642,plain,
( critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f641,f104]) ).
fof(f641,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(subsumption_resolution,[],[f639,f610]) ).
fof(f610,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f609]) ).
fof(f609,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(resolution,[],[f608,f170]) ).
fof(f608,plain,
( ~ greater(end_time(sK1(sK0)),appear(efficient_producers,sK1(sK0)))
| greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(resolution,[],[f584,f95]) ).
fof(f639,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f638]) ).
fof(f638,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(resolution,[],[f636,f587]) ).
fof(f636,plain,
! [X0] :
( ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(subsumption_resolution,[],[f635,f114]) ).
fof(f635,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f634]) ).
fof(f634,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(resolution,[],[f631,f586]) ).
fof(f586,plain,
( subpopulation(first_movers,sK1(sK0),end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(resolution,[],[f581,f116]) ).
fof(f631,plain,
! [X0,X1] :
( ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(trivial_inequality_removal,[],[f630]) ).
fof(f630,plain,
! [X0,X1] :
( zero != zero
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(superposition,[],[f98,f626]) ).
fof(f626,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(subsumption_resolution,[],[f625,f72]) ).
fof(f625,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ observational_period(sK0) ),
inference(subsumption_resolution,[],[f624,f74]) ).
fof(f624,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f623,f104]) ).
fof(f623,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(subsumption_resolution,[],[f622,f610]) ).
fof(f622,plain,
( critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f621,f603]) ).
fof(f603,plain,
( greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0))) ),
inference(resolution,[],[f589,f94]) ).
fof(f589,plain,
( greater_or_equal(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(subsumption_resolution,[],[f588,f114]) ).
fof(f588,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| greater_or_equal(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ environment(sK1(sK0)) ),
inference(resolution,[],[f581,f88]) ).
fof(f621,plain,
( critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f620,f581]) ).
fof(f620,plain,
( critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f619,f114]) ).
fof(f619,plain,
( critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ environment(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(resolution,[],[f617,f212]) ).
fof(f617,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ environment(X0) ),
inference(resolution,[],[f616,f99]) ).
fof(f616,plain,
( greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0))))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0))) ),
inference(duplicate_literal_removal,[],[f615]) ).
fof(f615,plain,
( critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0))))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0))) ),
inference(resolution,[],[f614,f603]) ).
fof(f614,plain,
( ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0)))) ),
inference(subsumption_resolution,[],[f613,f145]) ).
fof(f613,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0)))) ),
inference(subsumption_resolution,[],[f611,f574]) ).
fof(f574,plain,
( ~ greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| in_environment(sK1(sK0),end_time(sK1(sK0))) ),
inference(backward_demodulation,[],[f137,f570]) ).
fof(f611,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0)))) ),
inference(resolution,[],[f610,f214]) ).
fof(f584,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),appear(efficient_producers,sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(resolution,[],[f581,f175]) ).
fof(f694,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(subsumption_resolution,[],[f693,f114]) ).
fof(f693,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(duplicate_literal_removal,[],[f692]) ).
fof(f692,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(resolution,[],[f689,f586]) ).
fof(f689,plain,
! [X0,X1] :
( ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(trivial_inequality_removal,[],[f688]) ).
fof(f688,plain,
! [X0,X1] :
( zero != zero
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(superposition,[],[f98,f685]) ).
fof(f685,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(subsumption_resolution,[],[f684,f72]) ).
fof(f684,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ observational_period(sK0) ),
inference(subsumption_resolution,[],[f683,f74]) ).
fof(f683,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f682,f104]) ).
fof(f682,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
inference(subsumption_resolution,[],[f681,f657]) ).
fof(f681,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f680,f603]) ).
fof(f680,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f679,f581]) ).
fof(f679,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f678,f114]) ).
fof(f678,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ environment(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(resolution,[],[f671,f212]) ).
fof(f671,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,end_time(sK1(sK0)))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ environment(X0) ),
inference(resolution,[],[f668,f99]) ).
fof(f668,plain,
( greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0))))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0))) ),
inference(duplicate_literal_removal,[],[f667]) ).
fof(f667,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0))))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0))) ),
inference(resolution,[],[f665,f603]) ).
fof(f665,plain,
( ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0)))) ),
inference(subsumption_resolution,[],[f664,f145]) ).
fof(f664,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0)))) ),
inference(subsumption_resolution,[],[f662,f574]) ).
fof(f662,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0)))) ),
inference(resolution,[],[f657,f214]) ).
fof(f128,plain,
subpopulation(efficient_producers,sK1(sK0),sK2(sK1(sK0))),
inference(resolution,[],[f125,f115]) ).
fof(f821,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(efficient_producers,sK1(sK0),end_time(sK1(sK0))) ),
inference(resolution,[],[f820,f796]) ).
fof(f796,plain,
greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero),
inference(subsumption_resolution,[],[f794,f739]) ).
fof(f739,plain,
greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0))),
inference(resolution,[],[f725,f117]) ).
fof(f725,plain,
in_environment(sK1(sK0),critical_point(sK1(sK0))),
inference(subsumption_resolution,[],[f594,f711]) ).
fof(f711,plain,
greater(end_time(sK1(sK0)),critical_point(sK1(sK0))),
inference(backward_demodulation,[],[f144,f703]) ).
fof(f594,plain,
( ~ greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| in_environment(sK1(sK0),critical_point(sK1(sK0))) ),
inference(resolution,[],[f590,f95]) ).
fof(f590,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| in_environment(sK1(sK0),critical_point(sK1(sK0))) ),
inference(resolution,[],[f571,f102]) ).
fof(f571,plain,
! [X0] :
( ~ greater_or_equal(X0,critical_point(sK1(sK0)))
| ~ greater_or_equal(end_time(sK1(sK0)),X0)
| in_environment(sK1(sK0),X0) ),
inference(backward_demodulation,[],[f132,f570]) ).
fof(f794,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(backward_demodulation,[],[f726,f792]) ).
fof(f792,plain,
critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)),
inference(subsumption_resolution,[],[f791,f72]) ).
fof(f791,plain,
( critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ observational_period(sK0) ),
inference(subsumption_resolution,[],[f790,f74]) ).
fof(f790,plain,
( critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f789,f104]) ).
fof(f789,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(subsumption_resolution,[],[f788,f717]) ).
fof(f717,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(backward_demodulation,[],[f179,f703]) ).
fof(f788,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(resolution,[],[f786,f707]) ).
fof(f786,plain,
! [X0] :
( ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(subsumption_resolution,[],[f785,f114]) ).
fof(f785,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(resolution,[],[f774,f706]) ).
fof(f706,plain,
subpopulation(first_movers,sK1(sK0),end_time(sK1(sK0))),
inference(backward_demodulation,[],[f127,f703]) ).
fof(f774,plain,
! [X0,X1] :
( ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(trivial_inequality_removal,[],[f773]) ).
fof(f773,plain,
! [X0,X1] :
( zero != zero
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(superposition,[],[f98,f770]) ).
fof(f770,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(subsumption_resolution,[],[f769,f72]) ).
fof(f769,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| ~ observational_period(sK0) ),
inference(subsumption_resolution,[],[f768,f74]) ).
fof(f768,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0))
| selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f732,f104]) ).
fof(f732,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(forward_demodulation,[],[f722,f703]) ).
fof(f722,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,sK2(sK1(sK0)))
| critical_point(sK1(sK0)) = appear(efficient_producers,sK1(sK0)) ),
inference(backward_demodulation,[],[f260,f703]) ).
fof(f726,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),appear(efficient_producers,sK1(sK0)))
| greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(forward_demodulation,[],[f715,f703]) ).
fof(f715,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),appear(efficient_producers,sK1(sK0)))
| greater(cardinality_at_time(efficient_producers,sK2(sK1(sK0))),zero) ),
inference(backward_demodulation,[],[f176,f703]) ).
fof(f820,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0))) ),
inference(subsumption_resolution,[],[f819,f114]) ).
fof(f819,plain,
! [X0] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0)) ),
inference(resolution,[],[f818,f706]) ).
fof(f818,plain,
! [X0,X1] :
( ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1) ),
inference(trivial_inequality_removal,[],[f817]) ).
fof(f817,plain,
! [X0,X1] :
( zero != zero
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1) ),
inference(superposition,[],[f98,f814]) ).
fof(f814,plain,
zero = cardinality_at_time(first_movers,end_time(sK1(sK0))),
inference(subsumption_resolution,[],[f813,f72]) ).
fof(f813,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| ~ observational_period(sK0) ),
inference(subsumption_resolution,[],[f812,f74]) ).
fof(f812,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,sK0)
| ~ observational_period(sK0) ),
inference(resolution,[],[f811,f104]) ).
fof(f811,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0))) ),
inference(subsumption_resolution,[],[f810,f723]) ).
fof(f723,plain,
( greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0))) ),
inference(forward_demodulation,[],[f709,f703]) ).
fof(f709,plain,
( greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| zero = cardinality_at_time(first_movers,sK2(sK1(sK0))) ),
inference(backward_demodulation,[],[f133,f703]) ).
fof(f810,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f809,f796]) ).
fof(f809,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f808,f704]) ).
fof(f704,plain,
in_environment(sK1(sK0),end_time(sK1(sK0))),
inference(backward_demodulation,[],[f125,f703]) ).
fof(f808,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(subsumption_resolution,[],[f807,f114]) ).
fof(f807,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
inference(resolution,[],[f805,f212]) ).
fof(f805,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| ~ environment(X0) ),
inference(resolution,[],[f804,f99]) ).
fof(f804,plain,
( greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0))))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0))) ),
inference(resolution,[],[f800,f723]) ).
fof(f800,plain,
( ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0)))) ),
inference(subsumption_resolution,[],[f799,f711]) ).
fof(f799,plain,
( ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0)))) ),
inference(subsumption_resolution,[],[f797,f704]) ).
fof(f797,plain,
( ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| greater(growth_rate(efficient_producers,end_time(sK1(sK0))),growth_rate(first_movers,end_time(sK1(sK0)))) ),
inference(resolution,[],[f796,f214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT039+2 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n008.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Aug 28 06:39:02 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689
% 0.22/0.36 % (30797)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (30803)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.42 % (30802)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.22/0.42 % (30800)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.22/0.42 % (30799)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.22/0.42 % (30798)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.22/0.42 % (30804)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.22/0.43 % (30801)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.22/0.47 % (30804)First to succeed.
% 0.22/0.48 % (30804)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Theorem for Vampire---4
% 0.22/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.48 % (30804)------------------------------
% 0.22/0.48 % (30804)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.48 % (30804)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.48 % (30804)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (30804)Memory used [KB]: 1407
% 0.22/0.48 % (30804)Time elapsed: 0.052 s
% 0.22/0.48 % (30804)------------------------------
% 0.22/0.48 % (30804)------------------------------
% 0.22/0.48 % (30797)Success in time 0.115 s
% 0.22/0.48 30800 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689
% 0.22/0.48 % (30800)------------------------------
% 0.22/0.48 % (30800)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.48 30799 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.DeMjvhOyRZ/Vampire---4.8_30689
% 0.22/0.48 % (30799)------------------------------
% 0.22/0.48 % (30799)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.48 % (30800)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.48 % (30799)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.48 % (30800)Termination reason: Unknown
% 0.22/0.48 % (30799)Termination reason: Unknown
% 0.22/0.48 % (30800)Termination phase: Saturation
% 0.22/0.48 % (30799)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 % (30799)Memory used [KB]: 1023
% 0.22/0.48 % (30800)Memory used [KB]: 1023
% 0.22/0.48 % (30799)Time elapsed: 0.057 s
% 0.22/0.48 % (30800)Time elapsed: 0.057 s
% 0.22/0.48 % (30799)------------------------------
% 0.22/0.48 % (30799)------------------------------
% 0.22/0.48 % (30800)------------------------------
% 0.22/0.48 % (30800)------------------------------
% 0.22/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------