TSTP Solution File: MGT035+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT035+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 : n023.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 09:17:42 EDT 2023
% Result : Theorem 4.79s 1.09s
% Output : Refutation 5.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 105
% Syntax : Number of formulae : 856 ( 9 unt; 0 def)
% Number of atoms : 3145 ( 164 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 4027 (1738 ~;2027 |; 128 &)
% ( 89 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 96 ( 94 usr; 84 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 455 (; 435 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18537,plain,
$false,
inference(avatar_sat_refutation,[],[f231,f704,f787,f853,f858,f915,f983,f1036,f1385,f1448,f1457,f1468,f1471,f1480,f1534,f1550,f1600,f1690,f1899,f3191,f4062,f4229,f4322,f4365,f4488,f4532,f4706,f4837,f4860,f4953,f5337,f5373,f5716,f5757,f5765,f6041,f6686,f7383,f7385,f7712,f7727,f7978,f8002,f8115,f8419,f9932,f10151,f10833,f11624,f11681,f11685,f11751,f11755,f11831,f11979,f12012,f12017,f12039,f12273,f12282,f12364,f13330,f13428,f13431,f13437,f13539,f13549,f13591,f13593,f13650,f13777,f13852,f13865,f13921,f15321,f15758,f16287,f16453,f16464,f16470,f16497,f16869,f16873,f16945,f16962,f16966,f17564,f17579,f17582,f17656,f17662,f17665,f17697,f17759,f17785,f17797,f17803,f17817,f18536]) ).
fof(f18536,plain,
( ~ spl4_29
| spl4_30
| ~ spl4_31 ),
inference(avatar_contradiction_clause,[],[f18535]) ).
fof(f18535,plain,
( $false
| ~ spl4_29
| spl4_30
| ~ spl4_31 ),
inference(subsumption_resolution,[],[f17843,f851]) ).
fof(f851,plain,
( ~ greater(growth_rate(efficient_producers,sK1(sK2(sK0))),growth_rate(first_movers,sK1(sK2(sK0))))
| spl4_30 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f850,plain,
( spl4_30
<=> greater(growth_rate(efficient_producers,sK1(sK2(sK0))),growth_rate(first_movers,sK1(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).
fof(f17843,plain,
( greater(growth_rate(efficient_producers,sK1(sK2(sK0))),growth_rate(first_movers,sK1(sK2(sK0))))
| ~ spl4_29
| ~ spl4_31 ),
inference(subsumption_resolution,[],[f14085,f847]) ).
fof(f847,plain,
( in_environment(sK0,sK2(sK0))
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f846,plain,
( spl4_29
<=> in_environment(sK0,sK2(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f14085,plain,
( ~ in_environment(sK0,sK2(sK0))
| greater(growth_rate(efficient_producers,sK1(sK2(sK0))),growth_rate(first_movers,sK1(sK2(sK0))))
| ~ spl4_31 ),
inference(resolution,[],[f910,f736]) ).
fof(f736,plain,
! [X0] :
( ~ greater(sK1(X0),sK3(sK0))
| ~ in_environment(sK0,X0)
| greater(growth_rate(efficient_producers,sK1(X0)),growth_rate(first_movers,sK1(X0))) ),
inference(resolution,[],[f696,f106]) ).
fof(f106,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,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,[],[f79]) ).
fof(f79,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,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X2,X6] :
( greater_or_equal(X2,X6)
<=> ( X2 = X6
| greater(X2,X6) ) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',mp_greater_or_equal) ).
fof(f696,plain,
! [X0] :
( ~ greater_or_equal(sK1(X0),sK3(sK0))
| greater(growth_rate(efficient_producers,sK1(X0)),growth_rate(first_movers,sK1(X0)))
| ~ in_environment(sK0,X0) ),
inference(resolution,[],[f258,f83]) ).
fof(f83,plain,
! [X1] :
( subpopulations(first_movers,efficient_producers,sK0,sK1(X1))
| ~ in_environment(sK0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ! [X1] :
( ( ~ outcompetes(efficient_producers,first_movers,sK1(X1))
& greater_or_equal(sK1(X1),X1)
& subpopulations(first_movers,efficient_producers,sK0,sK1(X1)) )
| ~ in_environment(sK0,X1) )
& stable(sK0)
& environment(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f35,f71,f70]) ).
fof(f70,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ~ outcompetes(efficient_producers,first_movers,X2)
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1) )
& stable(X0)
& environment(X0) )
=> ( ! [X1] :
( ? [X2] :
( ~ outcompetes(efficient_producers,first_movers,X2)
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,sK0,X2) )
| ~ in_environment(sK0,X1) )
& stable(sK0)
& environment(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X1] :
( ? [X2] :
( ~ outcompetes(efficient_producers,first_movers,X2)
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,sK0,X2) )
=> ( ~ outcompetes(efficient_producers,first_movers,sK1(X1))
& greater_or_equal(sK1(X1),X1)
& subpopulations(first_movers,efficient_producers,sK0,sK1(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ~ outcompetes(efficient_producers,first_movers,X2)
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1) )
& stable(X0)
& environment(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ~ outcompetes(efficient_producers,first_movers,X2)
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1) )
& stable(X0)
& environment(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( ! [X2] :
( ( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> outcompetes(efficient_producers,first_movers,X2) )
& in_environment(X0,X1) ) ),
inference(rectify,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X12] :
( ! [X1] :
( ( greater_or_equal(X1,X12)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> outcompetes(efficient_producers,first_movers,X1) )
& in_environment(X0,X12) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X12] :
( ! [X1] :
( ( greater_or_equal(X1,X12)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> outcompetes(efficient_producers,first_movers,X1) )
& in_environment(X0,X12) ) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',prove_t4) ).
fof(f258,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater_or_equal(X0,sK3(sK0))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(subsumption_resolution,[],[f257,f81]) ).
fof(f81,plain,
environment(sK0),
inference(cnf_transformation,[],[f72]) ).
fof(f257,plain,
! [X0] :
( ~ greater_or_equal(X0,sK3(sK0))
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ environment(sK0) ),
inference(resolution,[],[f89,f82]) ).
fof(f82,plain,
stable(sK0),
inference(cnf_transformation,[],[f72]) ).
fof(f89,plain,
! [X2,X0] :
( ~ stable(X0)
| ~ greater_or_equal(X2,sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,sK3(X0)) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f39,f75]) ).
fof(f75,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
=> ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( ! [X2] :
( ( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& in_environment(X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X12] :
( ! [X1] :
( ( greater_or_equal(X1,X12)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) )
& in_environment(X0,X12) ) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',l1) ).
fof(f910,plain,
( greater(sK1(sK2(sK0)),sK3(sK0))
| ~ spl4_31 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f908,plain,
( spl4_31
<=> greater(sK1(sK2(sK0)),sK3(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).
fof(f17817,plain,
( spl4_260
| spl4_261
| ~ spl4_262
| spl4_290 ),
inference(avatar_contradiction_clause,[],[f17816]) ).
fof(f17816,plain,
( $false
| spl4_260
| spl4_261
| ~ spl4_262
| spl4_290 ),
inference(subsumption_resolution,[],[f17807,f16447]) ).
fof(f16447,plain,
( ~ decreases(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| spl4_261 ),
inference(avatar_component_clause,[],[f16446]) ).
fof(f16446,plain,
( spl4_261
<=> decreases(cardinality_at_time(efficient_producers,sK1(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_261])]) ).
fof(f17807,plain,
( decreases(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| spl4_260
| ~ spl4_262
| spl4_290 ),
inference(subsumption_resolution,[],[f17806,f16890]) ).
fof(f16890,plain,
( ~ decreases(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| spl4_290 ),
inference(avatar_component_clause,[],[f16889]) ).
fof(f16889,plain,
( spl4_290
<=> decreases(cardinality_at_time(first_movers,sK1(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_290])]) ).
fof(f17806,plain,
( decreases(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| decreases(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| spl4_260
| ~ spl4_262 ),
inference(subsumption_resolution,[],[f16881,f16443]) ).
fof(f16443,plain,
( ~ constant(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| spl4_260 ),
inference(avatar_component_clause,[],[f16442]) ).
fof(f16442,plain,
( spl4_260
<=> constant(cardinality_at_time(efficient_producers,sK1(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_260])]) ).
fof(f16881,plain,
( decreases(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| constant(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| decreases(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| ~ spl4_262 ),
inference(subsumption_resolution,[],[f14326,f16451]) ).
fof(f16451,plain,
( constant(number_of_organizations(sK0,sK1(sK2(sK0))))
| ~ spl4_262 ),
inference(avatar_component_clause,[],[f16450]) ).
fof(f16450,plain,
( spl4_262
<=> constant(number_of_organizations(sK0,sK1(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_262])]) ).
fof(f14326,plain,
( ~ constant(number_of_organizations(sK0,sK1(sK2(sK0))))
| decreases(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| constant(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| decreases(cardinality_at_time(first_movers,sK1(sK2(sK0)))) ),
inference(superposition,[],[f134,f338]) ).
fof(f338,plain,
number_of_organizations(sK0,sK1(sK2(sK0))) = sum(cardinality_at_time(first_movers,sK1(sK2(sK0))),cardinality_at_time(efficient_producers,sK1(sK2(sK0)))),
inference(subsumption_resolution,[],[f337,f81]) ).
fof(f337,plain,
( number_of_organizations(sK0,sK1(sK2(sK0))) = sum(cardinality_at_time(first_movers,sK1(sK2(sK0))),cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| ~ environment(sK0) ),
inference(subsumption_resolution,[],[f334,f82]) ).
fof(f334,plain,
( number_of_organizations(sK0,sK1(sK2(sK0))) = sum(cardinality_at_time(first_movers,sK1(sK2(sK0))),cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| ~ stable(sK0)
| ~ environment(sK0) ),
inference(resolution,[],[f221,f86]) ).
fof(f86,plain,
! [X0] :
( in_environment(X0,sK2(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( greater_or_equal(sK2(X0),equilibrium(X0))
& in_environment(X0,sK2(X0)) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f37,f73]) ).
fof(f73,plain,
! [X0] :
( ? [X1] :
( greater_or_equal(X1,equilibrium(X0))
& in_environment(X0,X1) )
=> ( greater_or_equal(sK2(X0),equilibrium(X0))
& in_environment(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ? [X1] :
( greater_or_equal(X1,equilibrium(X0))
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ? [X1] :
( greater_or_equal(X1,equilibrium(X0))
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( greater_or_equal(X1,equilibrium(X0))
& in_environment(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',a5) ).
fof(f221,plain,
! [X0] :
( ~ in_environment(sK0,X0)
| number_of_organizations(sK0,sK1(X0)) = sum(cardinality_at_time(first_movers,sK1(X0)),cardinality_at_time(efficient_producers,sK1(X0))) ),
inference(resolution,[],[f201,f83]) ).
fof(f201,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| number_of_organizations(sK0,X0) = sum(cardinality_at_time(first_movers,X0),cardinality_at_time(efficient_producers,X0)) ),
inference(subsumption_resolution,[],[f196,f81]) ).
fof(f196,plain,
! [X0] :
( number_of_organizations(sK0,X0) = sum(cardinality_at_time(first_movers,X0),cardinality_at_time(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ environment(sK0) ),
inference(resolution,[],[f192,f101]) ).
fof(f101,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> in_environment(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',mp_time_point_in_environment) ).
fof(f192,plain,
! [X0] :
( ~ in_environment(sK0,X0)
| number_of_organizations(sK0,X0) = sum(cardinality_at_time(first_movers,X0),cardinality_at_time(efficient_producers,X0)) ),
inference(subsumption_resolution,[],[f191,f81]) ).
fof(f191,plain,
! [X0] :
( number_of_organizations(sK0,X0) = sum(cardinality_at_time(first_movers,X0),cardinality_at_time(efficient_producers,X0))
| ~ in_environment(sK0,X0)
| ~ environment(sK0) ),
inference(resolution,[],[f190,f98]) ).
fof(f98,plain,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) )
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) )
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',mp_FM_and_EP_organisational) ).
fof(f190,plain,
! [X0] :
( ~ subpopulation(first_movers,sK0,X0)
| number_of_organizations(sK0,X0) = sum(cardinality_at_time(first_movers,X0),cardinality_at_time(efficient_producers,X0)) ),
inference(resolution,[],[f128,f81]) ).
fof(f128,plain,
! [X2,X0] :
( ~ environment(X0)
| ~ subpopulation(first_movers,X0,X2)
| number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,plain,
! [X2,X0,X1] :
( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| first_movers != X1
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ( first_movers != X1
& efficient_producers != X1
& greater(cardinality_at_time(X1,X2),zero) )
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ( first_movers != X1
& efficient_producers != X1
& greater(cardinality_at_time(X1,X2),zero) )
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( ( greater(cardinality_at_time(X1,X2),zero)
=> ( first_movers = X1
| efficient_producers = X1 ) )
& subpopulation(X1,X0,X2)
& environment(X0) )
=> number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X2,X1] :
( ( ( greater(cardinality_at_time(X2,X1),zero)
=> ( first_movers = X2
| efficient_producers = X2 ) )
& subpopulation(X2,X0,X1)
& environment(X0) )
=> number_of_organizations(X0,X1) = sum(cardinality_at_time(first_movers,X1),cardinality_at_time(efficient_producers,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',mp_only_members) ).
fof(f134,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| constant(X2)
| decreases(X1) ),
inference(equality_resolution,[],[f121]) ).
fof(f121,plain,
! [X2,X0,X1] :
( decreases(X1)
| decreases(X2)
| constant(X2)
| ~ constant(X0)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( increases(X2)
& decreases(X1) )
| ( decreases(X2)
& increases(X1) )
| ( constant(X2)
& constant(X1) )
| ~ constant(X0)
| sum(X1,X2) != X0 ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( increases(X2)
& decreases(X1) )
| ( decreases(X2)
& increases(X1) )
| ( constant(X2)
& constant(X1) )
| ~ constant(X0)
| sum(X1,X2) != X0 ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( constant(X0)
& sum(X1,X2) = X0 )
=> ( ( increases(X2)
& decreases(X1) )
| ( decreases(X2)
& increases(X1) )
| ( constant(X2)
& constant(X1) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X3,X4,X5] :
( ( constant(X3)
& sum(X4,X5) = X3 )
=> ( ( increases(X5)
& decreases(X4) )
| ( decreases(X5)
& increases(X4) )
| ( constant(X5)
& constant(X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',mp_abc_sum_increase) ).
fof(f17803,plain,
( ~ spl4_30
| spl4_296
| ~ spl4_333 ),
inference(avatar_contradiction_clause,[],[f17802]) ).
fof(f17802,plain,
( $false
| ~ spl4_30
| spl4_296
| ~ spl4_333 ),
inference(subsumption_resolution,[],[f17798,f16960]) ).
fof(f16960,plain,
( ~ greater(zero,growth_rate(first_movers,sK1(sK2(sK0))))
| spl4_296 ),
inference(avatar_component_clause,[],[f16959]) ).
fof(f16959,plain,
( spl4_296
<=> greater(zero,growth_rate(first_movers,sK1(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_296])]) ).
fof(f17798,plain,
( greater(zero,growth_rate(first_movers,sK1(sK2(sK0))))
| ~ spl4_30
| ~ spl4_333 ),
inference(resolution,[],[f17796,f14056]) ).
fof(f14056,plain,
( ! [X0] :
( ~ greater(X0,growth_rate(efficient_producers,sK1(sK2(sK0))))
| greater(X0,growth_rate(first_movers,sK1(sK2(sK0)))) )
| ~ spl4_30 ),
inference(resolution,[],[f852,f117]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| greater(X0,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X2,X6,X7] :
( ( greater(X6,X7)
& greater(X2,X6) )
=> greater(X2,X7) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',mp_greater_transitivity) ).
fof(f852,plain,
( greater(growth_rate(efficient_producers,sK1(sK2(sK0))),growth_rate(first_movers,sK1(sK2(sK0))))
| ~ spl4_30 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f17796,plain,
( greater(zero,growth_rate(efficient_producers,sK1(sK2(sK0))))
| ~ spl4_333 ),
inference(avatar_component_clause,[],[f17794]) ).
fof(f17794,plain,
( spl4_333
<=> greater(zero,growth_rate(efficient_producers,sK1(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_333])]) ).
fof(f17797,plain,
( spl4_287
| spl4_333
| ~ spl4_261
| ~ spl4_288 ),
inference(avatar_split_clause,[],[f17571,f16862,f16446,f17794,f16859]) ).
fof(f16859,plain,
( spl4_287
<=> ! [X0] :
( ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_287])]) ).
fof(f16862,plain,
( spl4_288
<=> greater(cardinality_at_time(efficient_producers,sK1(sK2(sK0))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_288])]) ).
fof(f17571,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sK1(sK2(sK0))))
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| ~ spl4_261
| ~ spl4_288 ),
inference(subsumption_resolution,[],[f17570,f99]) ).
fof(f99,plain,
! [X0,X1] :
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f17570,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sK1(sK2(sK0))))
| ~ subpopulation(efficient_producers,X0,sK1(sK2(sK0)))
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| ~ spl4_261
| ~ spl4_288 ),
inference(subsumption_resolution,[],[f17569,f16863]) ).
fof(f16863,plain,
( greater(cardinality_at_time(efficient_producers,sK1(sK2(sK0))),zero)
| ~ spl4_288 ),
inference(avatar_component_clause,[],[f16862]) ).
fof(f17569,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sK1(sK2(sK0))))
| ~ greater(cardinality_at_time(efficient_producers,sK1(sK2(sK0))),zero)
| ~ subpopulation(efficient_producers,X0,sK1(sK2(sK0)))
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| ~ spl4_261 ),
inference(resolution,[],[f16448,f112]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ decreases(cardinality_at_time(X0,X2))
| greater(zero,growth_rate(X0,X2))
| ~ greater(cardinality_at_time(X0,X2),zero)
| ~ subpopulation(X0,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( ( greater(zero,growth_rate(X0,X2))
| ~ decreases(cardinality_at_time(X0,X2)) )
& ( greater(growth_rate(X0,X2),zero)
| ~ increases(cardinality_at_time(X0,X2)) )
& ( zero = growth_rate(X0,X2)
| ~ constant(cardinality_at_time(X0,X2)) ) )
| ~ greater(cardinality_at_time(X0,X2),zero)
| ~ subpopulation(X0,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ( ( greater(zero,growth_rate(X0,X2))
| ~ decreases(cardinality_at_time(X0,X2)) )
& ( greater(growth_rate(X0,X2),zero)
| ~ increases(cardinality_at_time(X0,X2)) )
& ( zero = growth_rate(X0,X2)
| ~ constant(cardinality_at_time(X0,X2)) ) )
| ~ greater(cardinality_at_time(X0,X2),zero)
| ~ subpopulation(X0,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( greater(cardinality_at_time(X0,X2),zero)
& subpopulation(X0,X1,X2)
& in_environment(X1,X2)
& environment(X1) )
=> ( ( decreases(cardinality_at_time(X0,X2))
=> greater(zero,growth_rate(X0,X2)) )
& ( increases(cardinality_at_time(X0,X2))
=> greater(growth_rate(X0,X2),zero) )
& ( constant(cardinality_at_time(X0,X2))
=> zero = growth_rate(X0,X2) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ( greater(cardinality_at_time(X2,X1),zero)
& subpopulation(X2,X0,X1)
& in_environment(X0,X1)
& environment(X0) )
=> ( ( decreases(cardinality_at_time(X2,X1))
=> greater(zero,growth_rate(X2,X1)) )
& ( increases(cardinality_at_time(X2,X1))
=> greater(growth_rate(X2,X1),zero) )
& ( constant(cardinality_at_time(X2,X1))
=> zero = growth_rate(X2,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',mp_growth_rate) ).
fof(f16448,plain,
( decreases(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| ~ spl4_261 ),
inference(avatar_component_clause,[],[f16446]) ).
fof(f17785,plain,
( spl4_287
| ~ spl4_261
| ~ spl4_288
| ~ spl4_294 ),
inference(avatar_split_clause,[],[f17784,f16942,f16862,f16446,f16859]) ).
fof(f16942,plain,
( spl4_294
<=> greater(growth_rate(efficient_producers,sK1(sK2(sK0))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_294])]) ).
fof(f17784,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| ~ spl4_261
| ~ spl4_288
| ~ spl4_294 ),
inference(subsumption_resolution,[],[f17571,f16949]) ).
fof(f16949,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK1(sK2(sK0))))
| ~ spl4_294 ),
inference(resolution,[],[f16944,f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
~ ( greater(X1,X0)
& greater(X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X6] :
~ ( greater(X6,X2)
& greater(X2,X6) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',mp6_2) ).
fof(f16944,plain,
( greater(growth_rate(efficient_producers,sK1(sK2(sK0))),zero)
| ~ spl4_294 ),
inference(avatar_component_clause,[],[f16942]) ).
fof(f17759,plain,
( ~ spl4_30
| ~ spl4_248 ),
inference(avatar_contradiction_clause,[],[f17758]) ).
fof(f17758,plain,
( $false
| ~ spl4_30
| ~ spl4_248 ),
inference(subsumption_resolution,[],[f17746,f127]) ).
fof(f127,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( X0 != X1
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( X0 != X1
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
~ ( X0 = X1
& greater(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X6] :
~ ( X2 = X6
& greater(X2,X6) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',mp6_1) ).
fof(f17746,plain,
( greater(growth_rate(first_movers,sK1(sK2(sK0))),growth_rate(first_movers,sK1(sK2(sK0))))
| ~ spl4_30
| ~ spl4_248 ),
inference(backward_demodulation,[],[f852,f14225]) ).
fof(f14225,plain,
( growth_rate(efficient_producers,sK1(sK2(sK0))) = growth_rate(first_movers,sK1(sK2(sK0)))
| ~ spl4_248 ),
inference(avatar_component_clause,[],[f14223]) ).
fof(f14223,plain,
( spl4_248
<=> growth_rate(efficient_producers,sK1(sK2(sK0))) = growth_rate(first_movers,sK1(sK2(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_248])]) ).
fof(f17697,plain,
( spl4_296
| ~ spl4_30
| ~ spl4_289 ),
inference(avatar_split_clause,[],[f17587,f16866,f850,f16959]) ).
fof(f16866,plain,
( spl4_289
<=> zero = growth_rate(efficient_producers,sK1(sK2(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_289])]) ).
fof(f17587,plain,
( greater(zero,growth_rate(first_movers,sK1(sK2(sK0))))
| ~ spl4_30
| ~ spl4_289 ),
inference(backward_demodulation,[],[f852,f16868]) ).
fof(f16868,plain,
( zero = growth_rate(efficient_producers,sK1(sK2(sK0)))
| ~ spl4_289 ),
inference(avatar_component_clause,[],[f16866]) ).
fof(f17665,plain,
( ~ spl4_302
| spl4_248
| ~ spl4_289 ),
inference(avatar_split_clause,[],[f17591,f16866,f14223,f17053]) ).
fof(f17053,plain,
( spl4_302
<=> zero = growth_rate(first_movers,sK1(sK2(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_302])]) ).
fof(f17591,plain,
( zero != growth_rate(first_movers,sK1(sK2(sK0)))
| spl4_248
| ~ spl4_289 ),
inference(backward_demodulation,[],[f14224,f16868]) ).
fof(f14224,plain,
( growth_rate(efficient_producers,sK1(sK2(sK0))) != growth_rate(first_movers,sK1(sK2(sK0)))
| spl4_248 ),
inference(avatar_component_clause,[],[f14223]) ).
fof(f17662,plain,
( spl4_287
| ~ spl4_291
| ~ spl4_295
| spl4_302 ),
inference(avatar_split_clause,[],[f17661,f17053,f16955,f16893,f16859]) ).
fof(f16893,plain,
( spl4_291
<=> constant(cardinality_at_time(first_movers,sK1(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_291])]) ).
fof(f16955,plain,
( spl4_295
<=> greater(cardinality_at_time(first_movers,sK1(sK2(sK0))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_295])]) ).
fof(f17661,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| ~ spl4_291
| ~ spl4_295
| spl4_302 ),
inference(subsumption_resolution,[],[f17660,f98]) ).
fof(f17660,plain,
( ! [X0] :
( ~ subpopulation(first_movers,X0,sK1(sK2(sK0)))
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| ~ spl4_291
| ~ spl4_295
| spl4_302 ),
inference(subsumption_resolution,[],[f17659,f16956]) ).
fof(f16956,plain,
( greater(cardinality_at_time(first_movers,sK1(sK2(sK0))),zero)
| ~ spl4_295 ),
inference(avatar_component_clause,[],[f16955]) ).
fof(f17659,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(first_movers,sK1(sK2(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(sK2(sK0)))
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| ~ spl4_291
| spl4_302 ),
inference(subsumption_resolution,[],[f17658,f17054]) ).
fof(f17054,plain,
( zero != growth_rate(first_movers,sK1(sK2(sK0)))
| spl4_302 ),
inference(avatar_component_clause,[],[f17053]) ).
fof(f17658,plain,
( ! [X0] :
( zero = growth_rate(first_movers,sK1(sK2(sK0)))
| ~ greater(cardinality_at_time(first_movers,sK1(sK2(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(sK2(sK0)))
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| ~ spl4_291 ),
inference(resolution,[],[f16895,f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ constant(cardinality_at_time(X0,X2))
| zero = growth_rate(X0,X2)
| ~ greater(cardinality_at_time(X0,X2),zero)
| ~ subpopulation(X0,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f16895,plain,
( constant(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| ~ spl4_291 ),
inference(avatar_component_clause,[],[f16893]) ).
fof(f17656,plain,
( spl4_287
| spl4_259
| ~ spl4_262
| spl4_291
| ~ spl4_295
| ~ spl4_296 ),
inference(avatar_split_clause,[],[f17655,f16959,f16955,f16893,f16450,f16438,f16859]) ).
fof(f16438,plain,
( spl4_259
<=> increases(cardinality_at_time(efficient_producers,sK1(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_259])]) ).
fof(f17655,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| spl4_259
| ~ spl4_262
| spl4_291
| ~ spl4_295
| ~ spl4_296 ),
inference(subsumption_resolution,[],[f17654,f98]) ).
fof(f17654,plain,
( ! [X0] :
( ~ subpopulation(first_movers,X0,sK1(sK2(sK0)))
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| spl4_259
| ~ spl4_262
| spl4_291
| ~ spl4_295
| ~ spl4_296 ),
inference(subsumption_resolution,[],[f17653,f16956]) ).
fof(f17653,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(first_movers,sK1(sK2(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(sK2(sK0)))
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| spl4_259
| ~ spl4_262
| spl4_291
| ~ spl4_296 ),
inference(subsumption_resolution,[],[f17652,f16972]) ).
fof(f16972,plain,
( ~ greater(growth_rate(first_movers,sK1(sK2(sK0))),zero)
| ~ spl4_296 ),
inference(resolution,[],[f16961,f109]) ).
fof(f16961,plain,
( greater(zero,growth_rate(first_movers,sK1(sK2(sK0))))
| ~ spl4_296 ),
inference(avatar_component_clause,[],[f16959]) ).
fof(f17652,plain,
( ! [X0] :
( greater(growth_rate(first_movers,sK1(sK2(sK0))),zero)
| ~ greater(cardinality_at_time(first_movers,sK1(sK2(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(sK2(sK0)))
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| spl4_259
| ~ spl4_262
| spl4_291 ),
inference(resolution,[],[f17651,f111]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ increases(cardinality_at_time(X0,X2))
| greater(growth_rate(X0,X2),zero)
| ~ greater(cardinality_at_time(X0,X2),zero)
| ~ subpopulation(X0,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f17651,plain,
( increases(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| spl4_259
| ~ spl4_262
| spl4_291 ),
inference(subsumption_resolution,[],[f17566,f16439]) ).
fof(f16439,plain,
( ~ increases(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| spl4_259 ),
inference(avatar_component_clause,[],[f16438]) ).
fof(f17566,plain,
( increases(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| ~ spl4_262
| spl4_291 ),
inference(subsumption_resolution,[],[f16877,f16894]) ).
fof(f16894,plain,
( ~ constant(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| spl4_291 ),
inference(avatar_component_clause,[],[f16893]) ).
fof(f16877,plain,
( increases(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| constant(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| ~ spl4_262 ),
inference(subsumption_resolution,[],[f14325,f16451]) ).
fof(f14325,plain,
( ~ constant(number_of_organizations(sK0,sK1(sK2(sK0))))
| increases(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| constant(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(sK2(sK0)))) ),
inference(superposition,[],[f133,f338]) ).
fof(f133,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X1)
| constant(X1)
| increases(X2) ),
inference(equality_resolution,[],[f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( increases(X2)
| increases(X1)
| constant(X1)
| ~ constant(X0)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f17582,plain,
( ~ spl4_263
| ~ spl4_287 ),
inference(avatar_contradiction_clause,[],[f17581]) ).
fof(f17581,plain,
( $false
| ~ spl4_263
| ~ spl4_287 ),
inference(subsumption_resolution,[],[f17580,f16458]) ).
fof(f16458,plain,
( in_environment(sK0,sK1(sK2(sK0)))
| ~ spl4_263 ),
inference(avatar_component_clause,[],[f16457]) ).
fof(f16457,plain,
( spl4_263
<=> in_environment(sK0,sK1(sK2(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_263])]) ).
fof(f17580,plain,
( ~ in_environment(sK0,sK1(sK2(sK0)))
| ~ spl4_287 ),
inference(resolution,[],[f16860,f81]) ).
fof(f16860,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1(sK2(sK0))) )
| ~ spl4_287 ),
inference(avatar_component_clause,[],[f16859]) ).
fof(f17579,plain,
( spl4_287
| spl4_259
| spl4_260
| ~ spl4_262
| ~ spl4_295
| ~ spl4_296 ),
inference(avatar_split_clause,[],[f17576,f16959,f16955,f16450,f16442,f16438,f16859]) ).
fof(f17576,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| spl4_259
| spl4_260
| ~ spl4_262
| ~ spl4_295
| ~ spl4_296 ),
inference(subsumption_resolution,[],[f17575,f98]) ).
fof(f17575,plain,
( ! [X0] :
( ~ subpopulation(first_movers,X0,sK1(sK2(sK0)))
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| spl4_259
| spl4_260
| ~ spl4_262
| ~ spl4_295
| ~ spl4_296 ),
inference(subsumption_resolution,[],[f17574,f16956]) ).
fof(f17574,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(first_movers,sK1(sK2(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(sK2(sK0)))
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| spl4_259
| spl4_260
| ~ spl4_262
| ~ spl4_296 ),
inference(subsumption_resolution,[],[f17573,f16972]) ).
fof(f17573,plain,
( ! [X0] :
( greater(growth_rate(first_movers,sK1(sK2(sK0))),zero)
| ~ greater(cardinality_at_time(first_movers,sK1(sK2(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(sK2(sK0)))
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| spl4_259
| spl4_260
| ~ spl4_262 ),
inference(resolution,[],[f17572,f111]) ).
fof(f17572,plain,
( increases(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| spl4_259
| spl4_260
| ~ spl4_262 ),
inference(subsumption_resolution,[],[f17565,f16439]) ).
fof(f17565,plain,
( increases(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| spl4_260
| ~ spl4_262 ),
inference(subsumption_resolution,[],[f16879,f16443]) ).
fof(f16879,plain,
( increases(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| constant(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| ~ spl4_262 ),
inference(subsumption_resolution,[],[f14324,f16451]) ).
fof(f14324,plain,
( ~ constant(number_of_organizations(sK0,sK1(sK2(sK0))))
| increases(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| constant(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(sK2(sK0)))) ),
inference(superposition,[],[f132,f338]) ).
fof(f132,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X1)
| constant(X2)
| increases(X2) ),
inference(equality_resolution,[],[f123]) ).
fof(f123,plain,
! [X2,X0,X1] :
( increases(X2)
| increases(X1)
| constant(X2)
| ~ constant(X0)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f17564,plain,
( ~ spl4_29
| ~ spl4_294
| ~ spl4_296 ),
inference(avatar_contradiction_clause,[],[f17563]) ).
fof(f17563,plain,
( $false
| ~ spl4_29
| ~ spl4_294
| ~ spl4_296 ),
inference(subsumption_resolution,[],[f17560,f847]) ).
fof(f17560,plain,
( ~ in_environment(sK0,sK2(sK0))
| ~ spl4_29
| ~ spl4_294
| ~ spl4_296 ),
inference(resolution,[],[f17559,f85]) ).
fof(f85,plain,
! [X1] :
( ~ outcompetes(efficient_producers,first_movers,sK1(X1))
| ~ in_environment(sK0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f17559,plain,
( outcompetes(efficient_producers,first_movers,sK1(sK2(sK0)))
| ~ spl4_29
| ~ spl4_294
| ~ spl4_296 ),
inference(subsumption_resolution,[],[f17558,f847]) ).
fof(f17558,plain,
( outcompetes(efficient_producers,first_movers,sK1(sK2(sK0)))
| ~ in_environment(sK0,sK2(sK0))
| ~ spl4_294
| ~ spl4_296 ),
inference(subsumption_resolution,[],[f17557,f16961]) ).
fof(f17557,plain,
( outcompetes(efficient_producers,first_movers,sK1(sK2(sK0)))
| ~ greater(zero,growth_rate(first_movers,sK1(sK2(sK0))))
| ~ in_environment(sK0,sK2(sK0))
| ~ spl4_294 ),
inference(resolution,[],[f17556,f83]) ).
fof(f17556,plain,
( ! [X0] :
( ~ subpopulations(X0,efficient_producers,sK0,sK1(sK2(sK0)))
| outcompetes(efficient_producers,X0,sK1(sK2(sK0)))
| ~ greater(zero,growth_rate(X0,sK1(sK2(sK0)))) )
| ~ spl4_294 ),
inference(resolution,[],[f16946,f81]) ).
fof(f16946,plain,
( ! [X0,X1] :
( ~ environment(X1)
| ~ subpopulations(X0,efficient_producers,X1,sK1(sK2(sK0)))
| outcompetes(efficient_producers,X0,sK1(sK2(sK0)))
| ~ greater(zero,growth_rate(X0,sK1(sK2(sK0)))) )
| ~ spl4_294 ),
inference(resolution,[],[f16944,f278]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ greater(growth_rate(X2,X1),zero)
| outcompetes(X2,X0,X1)
| ~ subpopulations(X0,X2,X3,X1)
| ~ environment(X3)
| ~ greater(zero,growth_rate(X0,X1)) ),
inference(resolution,[],[f95,f106]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( ~ greater_or_equal(growth_rate(X2,X3),zero)
| ~ greater(zero,growth_rate(X1,X3))
| outcompetes(X2,X1,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( ( ( ( greater(zero,growth_rate(X1,X3))
& greater_or_equal(growth_rate(X2,X3),zero) )
| ~ outcompetes(X2,X1,X3) )
& ( outcompetes(X2,X1,X3)
| ~ greater(zero,growth_rate(X1,X3))
| ~ greater_or_equal(growth_rate(X2,X3),zero) ) )
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( ( ( ( greater(zero,growth_rate(X1,X3))
& greater_or_equal(growth_rate(X2,X3),zero) )
| ~ outcompetes(X2,X1,X3) )
& ( outcompetes(X2,X1,X3)
| ~ greater(zero,growth_rate(X1,X3))
| ~ greater_or_equal(growth_rate(X2,X3),zero) ) )
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( ( ( greater(zero,growth_rate(X1,X3))
& greater_or_equal(growth_rate(X2,X3),zero) )
<=> outcompetes(X2,X1,X3) )
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( ( ( greater(zero,growth_rate(X1,X3))
& greater_or_equal(growth_rate(X2,X3),zero) )
<=> outcompetes(X2,X1,X3) )
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ( subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> ( ( greater(zero,growth_rate(X1,X3))
& greater_or_equal(growth_rate(X2,X3),zero) )
<=> outcompetes(X2,X1,X3) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X10,X11,X1] :
( ( subpopulations(X10,X11,X0,X1)
& environment(X0) )
=> ( ( greater(zero,growth_rate(X10,X1))
& greater_or_equal(growth_rate(X11,X1),zero) )
<=> outcompetes(X11,X10,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',d2) ).
fof(f16966,plain,
( ~ spl4_29
| spl4_295 ),
inference(avatar_contradiction_clause,[],[f16965]) ).
fof(f16965,plain,
( $false
| ~ spl4_29
| spl4_295 ),
inference(subsumption_resolution,[],[f16963,f847]) ).
fof(f16963,plain,
( ~ in_environment(sK0,sK2(sK0))
| spl4_295 ),
inference(resolution,[],[f16957,f160]) ).
fof(f160,plain,
! [X0] :
( greater(cardinality_at_time(first_movers,sK1(X0)),zero)
| ~ in_environment(sK0,X0) ),
inference(resolution,[],[f158,f83]) ).
fof(f158,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| greater(cardinality_at_time(first_movers,X0),zero) ),
inference(resolution,[],[f103,f81]) ).
fof(f103,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(cardinality_at_time(first_movers,X1),zero) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( greater(cardinality_at_time(efficient_producers,X1),zero)
& greater(cardinality_at_time(first_movers,X1),zero) )
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( greater(cardinality_at_time(efficient_producers,X1),zero)
& greater(cardinality_at_time(first_movers,X1),zero) )
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( greater(cardinality_at_time(efficient_producers,X1),zero)
& greater(cardinality_at_time(first_movers,X1),zero) ) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',mp_positive_number_of_organizations) ).
fof(f16957,plain,
( ~ greater(cardinality_at_time(first_movers,sK1(sK2(sK0))),zero)
| spl4_295 ),
inference(avatar_component_clause,[],[f16955]) ).
fof(f16962,plain,
( spl4_287
| ~ spl4_295
| spl4_296
| ~ spl4_290 ),
inference(avatar_split_clause,[],[f16898,f16889,f16959,f16955,f16859]) ).
fof(f16898,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sK1(sK2(sK0))))
| ~ greater(cardinality_at_time(first_movers,sK1(sK2(sK0))),zero)
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| ~ spl4_290 ),
inference(subsumption_resolution,[],[f16897,f98]) ).
fof(f16897,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sK1(sK2(sK0))))
| ~ greater(cardinality_at_time(first_movers,sK1(sK2(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(sK2(sK0)))
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| ~ spl4_290 ),
inference(resolution,[],[f16891,f112]) ).
fof(f16891,plain,
( decreases(cardinality_at_time(first_movers,sK1(sK2(sK0))))
| ~ spl4_290 ),
inference(avatar_component_clause,[],[f16889]) ).
fof(f16945,plain,
( spl4_287
| spl4_294
| ~ spl4_259
| ~ spl4_288 ),
inference(avatar_split_clause,[],[f16940,f16862,f16438,f16942,f16859]) ).
fof(f16940,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sK1(sK2(sK0))),zero)
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| ~ spl4_259
| ~ spl4_288 ),
inference(subsumption_resolution,[],[f16884,f16863]) ).
fof(f16884,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sK1(sK2(sK0))),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK1(sK2(sK0))),zero)
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| ~ spl4_259 ),
inference(subsumption_resolution,[],[f16883,f99]) ).
fof(f16883,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sK1(sK2(sK0))),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK1(sK2(sK0))),zero)
| ~ subpopulation(efficient_producers,X0,sK1(sK2(sK0)))
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| ~ spl4_259 ),
inference(resolution,[],[f16440,f111]) ).
fof(f16440,plain,
( increases(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| ~ spl4_259 ),
inference(avatar_component_clause,[],[f16438]) ).
fof(f16873,plain,
( ~ spl4_29
| spl4_288 ),
inference(avatar_contradiction_clause,[],[f16872]) ).
fof(f16872,plain,
( $false
| ~ spl4_29
| spl4_288 ),
inference(subsumption_resolution,[],[f16870,f847]) ).
fof(f16870,plain,
( ~ in_environment(sK0,sK2(sK0))
| spl4_288 ),
inference(resolution,[],[f16864,f165]) ).
fof(f165,plain,
! [X0] :
( greater(cardinality_at_time(efficient_producers,sK1(X0)),zero)
| ~ in_environment(sK0,X0) ),
inference(resolution,[],[f159,f83]) ).
fof(f159,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| greater(cardinality_at_time(efficient_producers,X0),zero) ),
inference(resolution,[],[f104,f81]) ).
fof(f104,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(cnf_transformation,[],[f57]) ).
fof(f16864,plain,
( ~ greater(cardinality_at_time(efficient_producers,sK1(sK2(sK0))),zero)
| spl4_288 ),
inference(avatar_component_clause,[],[f16862]) ).
fof(f16869,plain,
( spl4_287
| ~ spl4_288
| spl4_289
| ~ spl4_260 ),
inference(avatar_split_clause,[],[f16502,f16442,f16866,f16862,f16859]) ).
fof(f16502,plain,
( ! [X0] :
( zero = growth_rate(efficient_producers,sK1(sK2(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,sK1(sK2(sK0))),zero)
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| ~ spl4_260 ),
inference(subsumption_resolution,[],[f16501,f99]) ).
fof(f16501,plain,
( ! [X0] :
( zero = growth_rate(efficient_producers,sK1(sK2(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,sK1(sK2(sK0))),zero)
| ~ subpopulation(efficient_producers,X0,sK1(sK2(sK0)))
| ~ in_environment(X0,sK1(sK2(sK0)))
| ~ environment(X0) )
| ~ spl4_260 ),
inference(resolution,[],[f16444,f110]) ).
fof(f16444,plain,
( constant(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| ~ spl4_260 ),
inference(avatar_component_clause,[],[f16442]) ).
fof(f16497,plain,
( ~ spl4_1
| ~ spl4_29
| spl4_32
| ~ spl4_263
| spl4_264 ),
inference(avatar_contradiction_clause,[],[f16496]) ).
fof(f16496,plain,
( $false
| ~ spl4_1
| ~ spl4_29
| spl4_32
| ~ spl4_263
| spl4_264 ),
inference(subsumption_resolution,[],[f16494,f847]) ).
fof(f16494,plain,
( ~ in_environment(sK0,sK2(sK0))
| ~ spl4_1
| ~ spl4_29
| spl4_32
| ~ spl4_263
| spl4_264 ),
inference(resolution,[],[f16493,f153]) ).
fof(f153,plain,
! [X0] :
( greater(number_of_organizations(sK0,sK1(X0)),zero)
| ~ in_environment(sK0,X0) ),
inference(resolution,[],[f152,f83]) ).
fof(f152,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| greater(number_of_organizations(sK0,X0),zero) ),
inference(resolution,[],[f102,f81]) ).
fof(f102,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(number_of_organizations(X0,X1),zero) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> greater(number_of_organizations(X0,X1),zero) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',mp_environment_not_empty) ).
fof(f16493,plain,
( ~ greater(number_of_organizations(sK0,sK1(sK2(sK0))),zero)
| ~ spl4_1
| ~ spl4_29
| spl4_32
| ~ spl4_263
| spl4_264 ),
inference(subsumption_resolution,[],[f16472,f16458]) ).
fof(f16472,plain,
( ~ greater(number_of_organizations(sK0,sK1(sK2(sK0))),zero)
| ~ in_environment(sK0,sK1(sK2(sK0)))
| ~ spl4_1
| ~ spl4_29
| spl4_32
| spl4_264 ),
inference(subsumption_resolution,[],[f16471,f81]) ).
fof(f16471,plain,
( ~ greater(number_of_organizations(sK0,sK1(sK2(sK0))),zero)
| ~ in_environment(sK0,sK1(sK2(sK0)))
| ~ environment(sK0)
| ~ spl4_1
| ~ spl4_29
| spl4_32
| spl4_264 ),
inference(subsumption_resolution,[],[f16467,f1010]) ).
fof(f1010,plain,
( ~ greater(equilibrium(sK0),sK1(sK2(sK0)))
| ~ spl4_1
| ~ spl4_29
| spl4_32 ),
inference(resolution,[],[f1007,f109]) ).
fof(f1007,plain,
( greater(sK1(sK2(sK0)),equilibrium(sK0))
| ~ spl4_1
| ~ spl4_29
| spl4_32 ),
inference(subsumption_resolution,[],[f1006,f847]) ).
fof(f1006,plain,
( greater(sK1(sK2(sK0)),equilibrium(sK0))
| ~ in_environment(sK0,sK2(sK0))
| ~ spl4_1
| spl4_32 ),
inference(subsumption_resolution,[],[f817,f913]) ).
fof(f913,plain,
( sK2(sK0) != sK1(sK2(sK0))
| spl4_32 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f912,plain,
( spl4_32
<=> sK2(sK0) = sK1(sK2(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).
fof(f817,plain,
( sK2(sK0) = sK1(sK2(sK0))
| greater(sK1(sK2(sK0)),equilibrium(sK0))
| ~ in_environment(sK0,sK2(sK0))
| ~ spl4_1 ),
inference(resolution,[],[f586,f84]) ).
fof(f84,plain,
! [X1] :
( greater_or_equal(sK1(X1),X1)
| ~ in_environment(sK0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f586,plain,
( ! [X0] :
( ~ greater_or_equal(X0,sK2(sK0))
| sK2(sK0) = X0
| greater(X0,equilibrium(sK0)) )
| ~ spl4_1 ),
inference(resolution,[],[f226,f105]) ).
fof(f105,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f226,plain,
( ! [X0] :
( ~ greater(X0,sK2(sK0))
| greater(X0,equilibrium(sK0)) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl4_1
<=> ! [X0] :
( greater(X0,equilibrium(sK0))
| ~ greater(X0,sK2(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f16467,plain,
( greater(equilibrium(sK0),sK1(sK2(sK0)))
| ~ greater(number_of_organizations(sK0,sK1(sK2(sK0))),zero)
| ~ in_environment(sK0,sK1(sK2(sK0)))
| ~ environment(sK0)
| spl4_264 ),
inference(resolution,[],[f16463,f91]) ).
fof(f91,plain,
! [X0,X1] :
( constant(resources(X0,X1))
| greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( ( constant(resources(X0,X1))
| greater(equilibrium(X0),X1) )
& ( decreases(resources(X0,X1))
| ~ greater(equilibrium(X0),X1) ) )
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( ( constant(resources(X0,X1))
| greater(equilibrium(X0),X1) )
& ( decreases(resources(X0,X1))
| ~ greater(equilibrium(X0),X1) ) )
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( greater(number_of_organizations(X0,X1),zero)
& in_environment(X0,X1)
& environment(X0) )
=> ( ( ~ greater(equilibrium(X0),X1)
=> constant(resources(X0,X1)) )
& ( greater(equilibrium(X0),X1)
=> decreases(resources(X0,X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',a4) ).
fof(f16463,plain,
( ~ constant(resources(sK0,sK1(sK2(sK0))))
| spl4_264 ),
inference(avatar_component_clause,[],[f16461]) ).
fof(f16461,plain,
( spl4_264
<=> constant(resources(sK0,sK1(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_264])]) ).
fof(f16470,plain,
( ~ spl4_29
| spl4_263 ),
inference(avatar_contradiction_clause,[],[f16469]) ).
fof(f16469,plain,
( $false
| ~ spl4_29
| spl4_263 ),
inference(subsumption_resolution,[],[f16468,f847]) ).
fof(f16468,plain,
( ~ in_environment(sK0,sK2(sK0))
| spl4_263 ),
inference(resolution,[],[f16466,f83]) ).
fof(f16466,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1(sK2(sK0)))
| spl4_263 ),
inference(subsumption_resolution,[],[f16465,f81]) ).
fof(f16465,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1(sK2(sK0)))
| ~ environment(sK0)
| spl4_263 ),
inference(resolution,[],[f16459,f101]) ).
fof(f16459,plain,
( ~ in_environment(sK0,sK1(sK2(sK0)))
| spl4_263 ),
inference(avatar_component_clause,[],[f16457]) ).
fof(f16464,plain,
( ~ spl4_263
| ~ spl4_264
| spl4_262 ),
inference(avatar_split_clause,[],[f16455,f16450,f16461,f16457]) ).
fof(f16455,plain,
( ~ constant(resources(sK0,sK1(sK2(sK0))))
| ~ in_environment(sK0,sK1(sK2(sK0)))
| spl4_262 ),
inference(subsumption_resolution,[],[f16454,f81]) ).
fof(f16454,plain,
( ~ constant(resources(sK0,sK1(sK2(sK0))))
| ~ in_environment(sK0,sK1(sK2(sK0)))
| ~ environment(sK0)
| spl4_262 ),
inference(resolution,[],[f16452,f93]) ).
fof(f93,plain,
! [X0,X1] :
( constant(number_of_organizations(X0,X1))
| ~ constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( ( constant(number_of_organizations(X0,X1))
| ~ constant(resources(X0,X1)) )
& ( ~ decreases(number_of_organizations(X0,X1))
| ~ decreases(resources(X0,X1)) ) )
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( ( constant(number_of_organizations(X0,X1))
| ~ constant(resources(X0,X1)) )
& ( ~ decreases(number_of_organizations(X0,X1))
| ~ decreases(resources(X0,X1)) ) )
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> ( ( constant(resources(X0,X1))
=> constant(number_of_organizations(X0,X1)) )
& ( decreases(resources(X0,X1))
=> ~ decreases(number_of_organizations(X0,X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',a7) ).
fof(f16452,plain,
( ~ constant(number_of_organizations(sK0,sK1(sK2(sK0))))
| spl4_262 ),
inference(avatar_component_clause,[],[f16450]) ).
fof(f16453,plain,
( spl4_259
| spl4_260
| spl4_261
| ~ spl4_262 ),
inference(avatar_split_clause,[],[f14322,f16450,f16446,f16442,f16438]) ).
fof(f14322,plain,
( ~ constant(number_of_organizations(sK0,sK1(sK2(sK0))))
| decreases(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| constant(cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(sK2(sK0)))) ),
inference(superposition,[],[f130,f338]) ).
fof(f130,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| constant(X2)
| increases(X2) ),
inference(equality_resolution,[],[f125]) ).
fof(f125,plain,
! [X2,X0,X1] :
( increases(X2)
| decreases(X2)
| constant(X2)
| ~ constant(X0)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f16287,plain,
( ~ spl4_42
| spl4_122 ),
inference(avatar_contradiction_clause,[],[f16286]) ).
fof(f16286,plain,
( $false
| ~ spl4_42
| spl4_122 ),
inference(subsumption_resolution,[],[f16285,f1035]) ).
fof(f1035,plain,
( sK3(sK0) = sK1(sK3(sK0))
| ~ spl4_42 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1033,plain,
( spl4_42
<=> sK3(sK0) = sK1(sK3(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).
fof(f16285,plain,
( sK3(sK0) != sK1(sK3(sK0))
| ~ spl4_42
| spl4_122 ),
inference(forward_demodulation,[],[f5329,f1035]) ).
fof(f5329,plain,
( sK1(sK3(sK0)) != sK1(sK1(sK3(sK0)))
| spl4_122 ),
inference(avatar_component_clause,[],[f5328]) ).
fof(f5328,plain,
( spl4_122
<=> sK1(sK3(sK0)) = sK1(sK1(sK3(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_122])]) ).
fof(f15758,plain,
( ~ spl4_5
| ~ spl4_37
| ~ spl4_53
| ~ spl4_120
| spl4_134 ),
inference(avatar_contradiction_clause,[],[f15757]) ).
fof(f15757,plain,
( $false
| ~ spl4_5
| ~ spl4_37
| ~ spl4_53
| ~ spl4_120
| spl4_134 ),
inference(subsumption_resolution,[],[f15755,f972]) ).
fof(f972,plain,
( in_environment(sK0,sK3(sK0))
| ~ spl4_37 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f971,plain,
( spl4_37
<=> in_environment(sK0,sK3(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).
fof(f15755,plain,
( ~ in_environment(sK0,sK3(sK0))
| ~ spl4_5
| ~ spl4_53
| ~ spl4_120
| spl4_134 ),
inference(resolution,[],[f15754,f153]) ).
fof(f15754,plain,
( ~ greater(number_of_organizations(sK0,sK1(sK3(sK0))),zero)
| ~ spl4_5
| ~ spl4_53
| ~ spl4_120
| spl4_134 ),
inference(subsumption_resolution,[],[f13991,f14319]) ).
fof(f14319,plain,
( ~ greater(equilibrium(sK0),sK1(sK3(sK0)))
| ~ spl4_5
| ~ spl4_53 ),
inference(resolution,[],[f1387,f109]) ).
fof(f1387,plain,
( greater(sK1(sK3(sK0)),equilibrium(sK0))
| ~ spl4_5
| ~ spl4_53 ),
inference(resolution,[],[f1380,f739]) ).
fof(f739,plain,
( ! [X0] :
( ~ greater(X0,sK3(sK0))
| greater(X0,equilibrium(sK0)) )
| ~ spl4_5 ),
inference(resolution,[],[f270,f117]) ).
fof(f270,plain,
( greater(sK3(sK0),equilibrium(sK0))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl4_5
<=> greater(sK3(sK0),equilibrium(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f1380,plain,
( greater(sK1(sK3(sK0)),sK3(sK0))
| ~ spl4_53 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f1378,plain,
( spl4_53
<=> greater(sK1(sK3(sK0)),sK3(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_53])]) ).
fof(f13991,plain,
( greater(equilibrium(sK0),sK1(sK3(sK0)))
| ~ greater(number_of_organizations(sK0,sK1(sK3(sK0))),zero)
| ~ spl4_120
| spl4_134 ),
inference(subsumption_resolution,[],[f13990,f81]) ).
fof(f13990,plain,
( greater(equilibrium(sK0),sK1(sK3(sK0)))
| ~ greater(number_of_organizations(sK0,sK1(sK3(sK0))),zero)
| ~ environment(sK0)
| ~ spl4_120
| spl4_134 ),
inference(subsumption_resolution,[],[f12826,f5321]) ).
fof(f5321,plain,
( in_environment(sK0,sK1(sK3(sK0)))
| ~ spl4_120 ),
inference(avatar_component_clause,[],[f5320]) ).
fof(f5320,plain,
( spl4_120
<=> in_environment(sK0,sK1(sK3(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_120])]) ).
fof(f12826,plain,
( greater(equilibrium(sK0),sK1(sK3(sK0)))
| ~ greater(number_of_organizations(sK0,sK1(sK3(sK0))),zero)
| ~ in_environment(sK0,sK1(sK3(sK0)))
| ~ environment(sK0)
| ~ spl4_120
| spl4_134 ),
inference(resolution,[],[f5710,f91]) ).
fof(f5710,plain,
( ~ constant(resources(sK0,sK1(sK3(sK0))))
| ~ spl4_120
| spl4_134 ),
inference(subsumption_resolution,[],[f5709,f81]) ).
fof(f5709,plain,
( ~ constant(resources(sK0,sK1(sK3(sK0))))
| ~ environment(sK0)
| ~ spl4_120
| spl4_134 ),
inference(subsumption_resolution,[],[f5708,f5321]) ).
fof(f5708,plain,
( ~ constant(resources(sK0,sK1(sK3(sK0))))
| ~ in_environment(sK0,sK1(sK3(sK0)))
| ~ environment(sK0)
| spl4_134 ),
inference(resolution,[],[f5706,f93]) ).
fof(f5706,plain,
( ~ constant(number_of_organizations(sK0,sK1(sK3(sK0))))
| spl4_134 ),
inference(avatar_component_clause,[],[f5704]) ).
fof(f5704,plain,
( spl4_134
<=> constant(number_of_organizations(sK0,sK1(sK3(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_134])]) ).
fof(f15321,plain,
( ~ spl4_200
| ~ spl4_178 ),
inference(avatar_split_clause,[],[f15275,f7523,f10274]) ).
fof(f10274,plain,
( spl4_200
<=> greater(zero,growth_rate(first_movers,sK1(equilibrium(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_200])]) ).
fof(f7523,plain,
( spl4_178
<=> greater(growth_rate(first_movers,sK1(equilibrium(sK0))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_178])]) ).
fof(f15275,plain,
( ~ greater(zero,growth_rate(first_movers,sK1(equilibrium(sK0))))
| ~ spl4_178 ),
inference(resolution,[],[f7524,f109]) ).
fof(f7524,plain,
( greater(growth_rate(first_movers,sK1(equilibrium(sK0))),zero)
| ~ spl4_178 ),
inference(avatar_component_clause,[],[f7523]) ).
fof(f13921,plain,
( spl4_245
| ~ spl4_2
| ~ spl4_29
| spl4_190
| spl4_191
| ~ spl4_193 ),
inference(avatar_split_clause,[],[f9943,f9890,f9882,f9878,f846,f228,f13327]) ).
fof(f13327,plain,
( spl4_245
<=> increases(cardinality_at_time(first_movers,sK1(equilibrium(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_245])]) ).
fof(f228,plain,
( spl4_2
<=> equilibrium(sK0) = sK2(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f9878,plain,
( spl4_190
<=> increases(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_190])]) ).
fof(f9882,plain,
( spl4_191
<=> constant(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_191])]) ).
fof(f9890,plain,
( spl4_193
<=> constant(number_of_organizations(sK0,sK1(equilibrium(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_193])]) ).
fof(f9943,plain,
( increases(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_29
| spl4_190
| spl4_191
| ~ spl4_193 ),
inference(subsumption_resolution,[],[f9942,f9879]) ).
fof(f9879,plain,
( ~ increases(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| spl4_190 ),
inference(avatar_component_clause,[],[f9878]) ).
fof(f9942,plain,
( increases(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_29
| spl4_191
| ~ spl4_193 ),
inference(subsumption_resolution,[],[f9941,f9883]) ).
fof(f9883,plain,
( ~ constant(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| spl4_191 ),
inference(avatar_component_clause,[],[f9882]) ).
fof(f9941,plain,
( increases(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| constant(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_29
| ~ spl4_193 ),
inference(subsumption_resolution,[],[f8991,f9891]) ).
fof(f9891,plain,
( constant(number_of_organizations(sK0,sK1(equilibrium(sK0))))
| ~ spl4_193 ),
inference(avatar_component_clause,[],[f9890]) ).
fof(f8991,plain,
( ~ constant(number_of_organizations(sK0,sK1(equilibrium(sK0))))
| increases(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| constant(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_29 ),
inference(superposition,[],[f132,f8136]) ).
fof(f8136,plain,
( number_of_organizations(sK0,sK1(equilibrium(sK0))) = sum(cardinality_at_time(first_movers,sK1(equilibrium(sK0))),cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_29 ),
inference(forward_demodulation,[],[f6720,f230]) ).
fof(f230,plain,
( equilibrium(sK0) = sK2(sK0)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f6720,plain,
( number_of_organizations(sK0,sK1(sK2(sK0))) = sum(cardinality_at_time(first_movers,sK1(sK2(sK0))),cardinality_at_time(efficient_producers,sK1(sK2(sK0))))
| ~ spl4_29 ),
inference(resolution,[],[f847,f221]) ).
fof(f13865,plain,
( ~ spl4_2
| ~ spl4_23
| spl4_40
| spl4_193
| ~ spl4_246 ),
inference(avatar_contradiction_clause,[],[f13864]) ).
fof(f13864,plain,
( $false
| ~ spl4_2
| ~ spl4_23
| spl4_40
| spl4_193
| ~ spl4_246 ),
inference(subsumption_resolution,[],[f13863,f81]) ).
fof(f13863,plain,
( ~ environment(sK0)
| ~ spl4_2
| ~ spl4_23
| spl4_40
| spl4_193
| ~ spl4_246 ),
inference(subsumption_resolution,[],[f13862,f683]) ).
fof(f683,plain,
( in_environment(sK0,sK1(equilibrium(sK0)))
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f682,plain,
( spl4_23
<=> in_environment(sK0,sK1(equilibrium(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f13862,plain,
( ~ in_environment(sK0,sK1(equilibrium(sK0)))
| ~ environment(sK0)
| ~ spl4_2
| ~ spl4_23
| spl4_40
| spl4_193
| ~ spl4_246 ),
inference(subsumption_resolution,[],[f13861,f13444]) ).
fof(f13444,plain,
( greater(number_of_organizations(sK0,sK1(equilibrium(sK0))),zero)
| ~ spl4_246 ),
inference(resolution,[],[f13422,f152]) ).
fof(f13422,plain,
( subpopulations(first_movers,efficient_producers,sK0,sK1(equilibrium(sK0)))
| ~ spl4_246 ),
inference(avatar_component_clause,[],[f13421]) ).
fof(f13421,plain,
( spl4_246
<=> subpopulations(first_movers,efficient_producers,sK0,sK1(equilibrium(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_246])]) ).
fof(f13861,plain,
( ~ greater(number_of_organizations(sK0,sK1(equilibrium(sK0))),zero)
| ~ in_environment(sK0,sK1(equilibrium(sK0)))
| ~ environment(sK0)
| ~ spl4_2
| ~ spl4_23
| spl4_40
| spl4_193 ),
inference(subsumption_resolution,[],[f13860,f8365]) ).
fof(f8365,plain,
( ~ greater(equilibrium(sK0),sK1(equilibrium(sK0)))
| ~ spl4_2
| spl4_40 ),
inference(forward_demodulation,[],[f1022,f230]) ).
fof(f1022,plain,
( ~ greater(equilibrium(sK0),sK1(sK2(sK0)))
| spl4_40 ),
inference(resolution,[],[f1020,f106]) ).
fof(f1020,plain,
( ~ greater_or_equal(equilibrium(sK0),sK1(sK2(sK0)))
| spl4_40 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1018,plain,
( spl4_40
<=> greater_or_equal(equilibrium(sK0),sK1(sK2(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).
fof(f13860,plain,
( greater(equilibrium(sK0),sK1(equilibrium(sK0)))
| ~ greater(number_of_organizations(sK0,sK1(equilibrium(sK0))),zero)
| ~ in_environment(sK0,sK1(equilibrium(sK0)))
| ~ environment(sK0)
| ~ spl4_23
| spl4_193 ),
inference(resolution,[],[f9896,f91]) ).
fof(f9896,plain,
( ~ constant(resources(sK0,sK1(equilibrium(sK0))))
| ~ spl4_23
| spl4_193 ),
inference(subsumption_resolution,[],[f9895,f81]) ).
fof(f9895,plain,
( ~ constant(resources(sK0,sK1(equilibrium(sK0))))
| ~ environment(sK0)
| ~ spl4_23
| spl4_193 ),
inference(subsumption_resolution,[],[f9894,f683]) ).
fof(f9894,plain,
( ~ constant(resources(sK0,sK1(equilibrium(sK0))))
| ~ in_environment(sK0,sK1(equilibrium(sK0)))
| ~ environment(sK0)
| spl4_193 ),
inference(resolution,[],[f9892,f93]) ).
fof(f9892,plain,
( ~ constant(number_of_organizations(sK0,sK1(equilibrium(sK0))))
| spl4_193 ),
inference(avatar_component_clause,[],[f9890]) ).
fof(f13852,plain,
( spl4_194
| ~ spl4_2
| ~ spl4_29
| spl4_191
| spl4_192
| ~ spl4_193
| spl4_200
| ~ spl4_246 ),
inference(avatar_split_clause,[],[f13810,f13421,f10274,f9890,f9886,f9882,f846,f228,f9913]) ).
fof(f9913,plain,
( spl4_194
<=> ! [X0] :
( ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_194])]) ).
fof(f9886,plain,
( spl4_192
<=> decreases(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_192])]) ).
fof(f13810,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_2
| ~ spl4_29
| spl4_191
| spl4_192
| ~ spl4_193
| spl4_200
| ~ spl4_246 ),
inference(subsumption_resolution,[],[f13809,f98]) ).
fof(f13809,plain,
( ! [X0] :
( ~ subpopulation(first_movers,X0,sK1(equilibrium(sK0)))
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_2
| ~ spl4_29
| spl4_191
| spl4_192
| ~ spl4_193
| spl4_200
| ~ spl4_246 ),
inference(subsumption_resolution,[],[f13808,f13445]) ).
fof(f13445,plain,
( greater(cardinality_at_time(first_movers,sK1(equilibrium(sK0))),zero)
| ~ spl4_246 ),
inference(resolution,[],[f13422,f158]) ).
fof(f13808,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(first_movers,sK1(equilibrium(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(equilibrium(sK0)))
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_2
| ~ spl4_29
| spl4_191
| spl4_192
| ~ spl4_193
| spl4_200 ),
inference(subsumption_resolution,[],[f13807,f10275]) ).
fof(f10275,plain,
( ~ greater(zero,growth_rate(first_movers,sK1(equilibrium(sK0))))
| spl4_200 ),
inference(avatar_component_clause,[],[f10274]) ).
fof(f13807,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sK1(equilibrium(sK0))))
| ~ greater(cardinality_at_time(first_movers,sK1(equilibrium(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(equilibrium(sK0)))
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_2
| ~ spl4_29
| spl4_191
| spl4_192
| ~ spl4_193 ),
inference(resolution,[],[f10051,f112]) ).
fof(f10051,plain,
( decreases(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_29
| spl4_191
| spl4_192
| ~ spl4_193 ),
inference(subsumption_resolution,[],[f10050,f9883]) ).
fof(f10050,plain,
( constant(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| decreases(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_29
| spl4_192
| ~ spl4_193 ),
inference(subsumption_resolution,[],[f10049,f9887]) ).
fof(f9887,plain,
( ~ decreases(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| spl4_192 ),
inference(avatar_component_clause,[],[f9886]) ).
fof(f10049,plain,
( decreases(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| constant(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| decreases(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_29
| ~ spl4_193 ),
inference(subsumption_resolution,[],[f8993,f9891]) ).
fof(f8993,plain,
( ~ constant(number_of_organizations(sK0,sK1(equilibrium(sK0))))
| decreases(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| constant(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| decreases(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_29 ),
inference(superposition,[],[f134,f8136]) ).
fof(f13777,plain,
( spl4_194
| ~ spl4_190
| spl4_199
| ~ spl4_246 ),
inference(avatar_split_clause,[],[f13776,f13421,f10251,f9878,f9913]) ).
fof(f10251,plain,
( spl4_199
<=> greater(growth_rate(efficient_producers,sK1(equilibrium(sK0))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_199])]) ).
fof(f13776,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_190
| spl4_199
| ~ spl4_246 ),
inference(subsumption_resolution,[],[f13600,f10252]) ).
fof(f10252,plain,
( ~ greater(growth_rate(efficient_producers,sK1(equilibrium(sK0))),zero)
| spl4_199 ),
inference(avatar_component_clause,[],[f10251]) ).
fof(f13600,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sK1(equilibrium(sK0))),zero)
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_190
| ~ spl4_246 ),
inference(subsumption_resolution,[],[f13599,f99]) ).
fof(f13599,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sK1(equilibrium(sK0))),zero)
| ~ subpopulation(efficient_producers,X0,sK1(equilibrium(sK0)))
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_190
| ~ spl4_246 ),
inference(subsumption_resolution,[],[f13598,f13446]) ).
fof(f13446,plain,
( greater(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))),zero)
| ~ spl4_246 ),
inference(resolution,[],[f13422,f159]) ).
fof(f13598,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sK1(equilibrium(sK0))),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))),zero)
| ~ subpopulation(efficient_producers,X0,sK1(equilibrium(sK0)))
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_190 ),
inference(resolution,[],[f9880,f111]) ).
fof(f9880,plain,
( increases(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| ~ spl4_190 ),
inference(avatar_component_clause,[],[f9878]) ).
fof(f13650,plain,
( spl4_200
| ~ spl4_2
| ~ spl4_30
| ~ spl4_195 ),
inference(avatar_split_clause,[],[f13635,f9916,f850,f228,f10274]) ).
fof(f9916,plain,
( spl4_195
<=> zero = growth_rate(efficient_producers,sK1(equilibrium(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_195])]) ).
fof(f13635,plain,
( greater(zero,growth_rate(first_movers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_30
| ~ spl4_195 ),
inference(backward_demodulation,[],[f2861,f9918]) ).
fof(f9918,plain,
( zero = growth_rate(efficient_producers,sK1(equilibrium(sK0)))
| ~ spl4_195 ),
inference(avatar_component_clause,[],[f9916]) ).
fof(f2861,plain,
( greater(growth_rate(efficient_producers,sK1(equilibrium(sK0))),growth_rate(first_movers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_30 ),
inference(forward_demodulation,[],[f852,f230]) ).
fof(f13593,plain,
( spl4_194
| ~ spl4_192
| spl4_196
| ~ spl4_246 ),
inference(avatar_split_clause,[],[f13592,f13421,f9926,f9886,f9913]) ).
fof(f9926,plain,
( spl4_196
<=> greater(zero,growth_rate(efficient_producers,sK1(equilibrium(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_196])]) ).
fof(f13592,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_192
| spl4_196
| ~ spl4_246 ),
inference(subsumption_resolution,[],[f13553,f9927]) ).
fof(f9927,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK1(equilibrium(sK0))))
| spl4_196 ),
inference(avatar_component_clause,[],[f9926]) ).
fof(f13553,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sK1(equilibrium(sK0))))
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_192
| ~ spl4_246 ),
inference(subsumption_resolution,[],[f13552,f99]) ).
fof(f13552,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sK1(equilibrium(sK0))))
| ~ subpopulation(efficient_producers,X0,sK1(equilibrium(sK0)))
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_192
| ~ spl4_246 ),
inference(subsumption_resolution,[],[f11002,f13446]) ).
fof(f11002,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sK1(equilibrium(sK0))))
| ~ greater(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))),zero)
| ~ subpopulation(efficient_producers,X0,sK1(equilibrium(sK0)))
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_192 ),
inference(resolution,[],[f9888,f112]) ).
fof(f9888,plain,
( decreases(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| ~ spl4_192 ),
inference(avatar_component_clause,[],[f9886]) ).
fof(f13591,plain,
( spl4_194
| spl4_197
| ~ spl4_244
| ~ spl4_246 ),
inference(avatar_split_clause,[],[f13590,f13421,f13323,f9997,f9913]) ).
fof(f9997,plain,
( spl4_197
<=> zero = growth_rate(first_movers,sK1(equilibrium(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_197])]) ).
fof(f13323,plain,
( spl4_244
<=> constant(cardinality_at_time(first_movers,sK1(equilibrium(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_244])]) ).
fof(f13590,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| spl4_197
| ~ spl4_244
| ~ spl4_246 ),
inference(subsumption_resolution,[],[f13333,f13445]) ).
fof(f13333,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(first_movers,sK1(equilibrium(sK0))),zero)
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| spl4_197
| ~ spl4_244 ),
inference(subsumption_resolution,[],[f13332,f98]) ).
fof(f13332,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(first_movers,sK1(equilibrium(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(equilibrium(sK0)))
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| spl4_197
| ~ spl4_244 ),
inference(subsumption_resolution,[],[f13331,f9998]) ).
fof(f9998,plain,
( zero != growth_rate(first_movers,sK1(equilibrium(sK0)))
| spl4_197 ),
inference(avatar_component_clause,[],[f9997]) ).
fof(f13331,plain,
( ! [X0] :
( zero = growth_rate(first_movers,sK1(equilibrium(sK0)))
| ~ greater(cardinality_at_time(first_movers,sK1(equilibrium(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(equilibrium(sK0)))
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_244 ),
inference(resolution,[],[f13325,f110]) ).
fof(f13325,plain,
( constant(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| ~ spl4_244 ),
inference(avatar_component_clause,[],[f13323]) ).
fof(f13549,plain,
( spl4_194
| spl4_178
| ~ spl4_245
| ~ spl4_246 ),
inference(avatar_split_clause,[],[f13548,f13421,f13327,f7523,f9913]) ).
fof(f13548,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| spl4_178
| ~ spl4_245
| ~ spl4_246 ),
inference(subsumption_resolution,[],[f13547,f98]) ).
fof(f13547,plain,
( ! [X0] :
( ~ subpopulation(first_movers,X0,sK1(equilibrium(sK0)))
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| spl4_178
| ~ spl4_245
| ~ spl4_246 ),
inference(subsumption_resolution,[],[f13546,f13445]) ).
fof(f13546,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(first_movers,sK1(equilibrium(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(equilibrium(sK0)))
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| spl4_178
| ~ spl4_245 ),
inference(subsumption_resolution,[],[f13545,f7525]) ).
fof(f7525,plain,
( ~ greater(growth_rate(first_movers,sK1(equilibrium(sK0))),zero)
| spl4_178 ),
inference(avatar_component_clause,[],[f7523]) ).
fof(f13545,plain,
( ! [X0] :
( greater(growth_rate(first_movers,sK1(equilibrium(sK0))),zero)
| ~ greater(cardinality_at_time(first_movers,sK1(equilibrium(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(equilibrium(sK0)))
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_245 ),
inference(resolution,[],[f13329,f111]) ).
fof(f13329,plain,
( increases(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| ~ spl4_245 ),
inference(avatar_component_clause,[],[f13327]) ).
fof(f13539,plain,
( spl4_194
| ~ spl4_191
| spl4_195
| ~ spl4_246 ),
inference(avatar_split_clause,[],[f13538,f13421,f9916,f9882,f9913]) ).
fof(f13538,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_191
| spl4_195
| ~ spl4_246 ),
inference(subsumption_resolution,[],[f12448,f13446]) ).
fof(f12448,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))),zero)
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_191
| spl4_195 ),
inference(subsumption_resolution,[],[f12447,f99]) ).
fof(f12447,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))),zero)
| ~ subpopulation(efficient_producers,X0,sK1(equilibrium(sK0)))
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_191
| spl4_195 ),
inference(subsumption_resolution,[],[f12446,f9917]) ).
fof(f9917,plain,
( zero != growth_rate(efficient_producers,sK1(equilibrium(sK0)))
| spl4_195 ),
inference(avatar_component_clause,[],[f9916]) ).
fof(f12446,plain,
( ! [X0] :
( zero = growth_rate(efficient_producers,sK1(equilibrium(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))),zero)
| ~ subpopulation(efficient_producers,X0,sK1(equilibrium(sK0)))
| ~ in_environment(X0,sK1(equilibrium(sK0)))
| ~ environment(X0) )
| ~ spl4_191 ),
inference(resolution,[],[f9884,f110]) ).
fof(f9884,plain,
( constant(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| ~ spl4_191 ),
inference(avatar_component_clause,[],[f9882]) ).
fof(f13437,plain,
( ~ spl4_91
| ~ spl4_247 ),
inference(avatar_contradiction_clause,[],[f13436]) ).
fof(f13436,plain,
( $false
| ~ spl4_91
| ~ spl4_247 ),
inference(subsumption_resolution,[],[f13433,f2402]) ).
fof(f2402,plain,
( in_environment(sK0,equilibrium(sK0))
| ~ spl4_91 ),
inference(avatar_component_clause,[],[f2401]) ).
fof(f2401,plain,
( spl4_91
<=> in_environment(sK0,equilibrium(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_91])]) ).
fof(f13433,plain,
( ~ in_environment(sK0,equilibrium(sK0))
| ~ spl4_247 ),
inference(resolution,[],[f13427,f85]) ).
fof(f13427,plain,
( outcompetes(efficient_producers,first_movers,sK1(equilibrium(sK0)))
| ~ spl4_247 ),
inference(avatar_component_clause,[],[f13425]) ).
fof(f13425,plain,
( spl4_247
<=> outcompetes(efficient_producers,first_movers,sK1(equilibrium(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_247])]) ).
fof(f13431,plain,
( ~ spl4_91
| spl4_246 ),
inference(avatar_contradiction_clause,[],[f13430]) ).
fof(f13430,plain,
( $false
| ~ spl4_91
| spl4_246 ),
inference(subsumption_resolution,[],[f13429,f2402]) ).
fof(f13429,plain,
( ~ in_environment(sK0,equilibrium(sK0))
| spl4_246 ),
inference(resolution,[],[f13423,f83]) ).
fof(f13423,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1(equilibrium(sK0)))
| spl4_246 ),
inference(avatar_component_clause,[],[f13421]) ).
fof(f13428,plain,
( ~ spl4_246
| spl4_247
| ~ spl4_177
| ~ spl4_200 ),
inference(avatar_split_clause,[],[f10847,f10274,f7520,f13425,f13421]) ).
fof(f7520,plain,
( spl4_177
<=> ! [X0,X1] :
( outcompetes(efficient_producers,X0,sK1(equilibrium(sK0)))
| ~ greater(zero,growth_rate(X0,sK1(equilibrium(sK0))))
| ~ environment(X1)
| ~ subpopulations(X0,efficient_producers,X1,sK1(equilibrium(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_177])]) ).
fof(f10847,plain,
( outcompetes(efficient_producers,first_movers,sK1(equilibrium(sK0)))
| ~ subpopulations(first_movers,efficient_producers,sK0,sK1(equilibrium(sK0)))
| ~ spl4_177
| ~ spl4_200 ),
inference(resolution,[],[f10846,f10276]) ).
fof(f10276,plain,
( greater(zero,growth_rate(first_movers,sK1(equilibrium(sK0))))
| ~ spl4_200 ),
inference(avatar_component_clause,[],[f10274]) ).
fof(f10846,plain,
( ! [X0] :
( ~ greater(zero,growth_rate(X0,sK1(equilibrium(sK0))))
| outcompetes(efficient_producers,X0,sK1(equilibrium(sK0)))
| ~ subpopulations(X0,efficient_producers,sK0,sK1(equilibrium(sK0))) )
| ~ spl4_177 ),
inference(resolution,[],[f7521,f81]) ).
fof(f7521,plain,
( ! [X0,X1] :
( ~ environment(X1)
| ~ greater(zero,growth_rate(X0,sK1(equilibrium(sK0))))
| outcompetes(efficient_producers,X0,sK1(equilibrium(sK0)))
| ~ subpopulations(X0,efficient_producers,X1,sK1(equilibrium(sK0))) )
| ~ spl4_177 ),
inference(avatar_component_clause,[],[f7520]) ).
fof(f13330,plain,
( spl4_244
| spl4_245
| ~ spl4_2
| ~ spl4_29
| spl4_190
| ~ spl4_193 ),
inference(avatar_split_clause,[],[f12348,f9890,f9878,f846,f228,f13327,f13323]) ).
fof(f12348,plain,
( increases(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| constant(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_29
| spl4_190
| ~ spl4_193 ),
inference(subsumption_resolution,[],[f10860,f9879]) ).
fof(f10860,plain,
( increases(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| constant(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_29
| ~ spl4_193 ),
inference(subsumption_resolution,[],[f8992,f9891]) ).
fof(f8992,plain,
( ~ constant(number_of_organizations(sK0,sK1(equilibrium(sK0))))
| increases(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| constant(cardinality_at_time(first_movers,sK1(equilibrium(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_29 ),
inference(superposition,[],[f133,f8136]) ).
fof(f12364,plain,
( ~ spl4_2
| ~ spl4_30
| ~ spl4_196
| spl4_200 ),
inference(avatar_contradiction_clause,[],[f12363]) ).
fof(f12363,plain,
( $false
| ~ spl4_2
| ~ spl4_30
| ~ spl4_196
| spl4_200 ),
inference(subsumption_resolution,[],[f9933,f10275]) ).
fof(f9933,plain,
( greater(zero,growth_rate(first_movers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_30
| ~ spl4_196 ),
inference(resolution,[],[f9928,f8400]) ).
fof(f8400,plain,
( ! [X0] :
( ~ greater(X0,growth_rate(efficient_producers,sK1(equilibrium(sK0))))
| greater(X0,growth_rate(first_movers,sK1(equilibrium(sK0)))) )
| ~ spl4_2
| ~ spl4_30 ),
inference(resolution,[],[f2861,f117]) ).
fof(f9928,plain,
( greater(zero,growth_rate(efficient_producers,sK1(equilibrium(sK0))))
| ~ spl4_196 ),
inference(avatar_component_clause,[],[f9926]) ).
fof(f12282,plain,
( spl4_135
| spl4_136
| ~ spl4_137
| ~ spl4_234 ),
inference(avatar_split_clause,[],[f12281,f11748,f5750,f5739,f5736]) ).
fof(f5736,plain,
( spl4_135
<=> ! [X0] :
( ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_135])]) ).
fof(f5739,plain,
( spl4_136
<=> greater(zero,growth_rate(first_movers,sK1(sK3(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_136])]) ).
fof(f5750,plain,
( spl4_137
<=> decreases(cardinality_at_time(first_movers,sK1(sK3(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_137])]) ).
fof(f11748,plain,
( spl4_234
<=> greater(cardinality_at_time(first_movers,sK1(sK3(sK0))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_234])]) ).
fof(f12281,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| spl4_136
| ~ spl4_137
| ~ spl4_234 ),
inference(subsumption_resolution,[],[f12276,f5740]) ).
fof(f5740,plain,
( ~ greater(zero,growth_rate(first_movers,sK1(sK3(sK0))))
| spl4_136 ),
inference(avatar_component_clause,[],[f5739]) ).
fof(f12276,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sK1(sK3(sK0))))
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_137
| ~ spl4_234 ),
inference(subsumption_resolution,[],[f12275,f98]) ).
fof(f12275,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sK1(sK3(sK0))))
| ~ subpopulation(first_movers,X0,sK1(sK3(sK0)))
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_137
| ~ spl4_234 ),
inference(subsumption_resolution,[],[f12040,f11749]) ).
fof(f11749,plain,
( greater(cardinality_at_time(first_movers,sK1(sK3(sK0))),zero)
| ~ spl4_234 ),
inference(avatar_component_clause,[],[f11748]) ).
fof(f12040,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sK1(sK3(sK0))))
| ~ greater(cardinality_at_time(first_movers,sK1(sK3(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(sK3(sK0)))
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_137 ),
inference(resolution,[],[f5752,f112]) ).
fof(f5752,plain,
( decreases(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| ~ spl4_137 ),
inference(avatar_component_clause,[],[f5750]) ).
fof(f12273,plain,
( ~ spl4_37
| ~ spl4_136
| ~ spl4_154 ),
inference(avatar_contradiction_clause,[],[f12272]) ).
fof(f12272,plain,
( $false
| ~ spl4_37
| ~ spl4_136
| ~ spl4_154 ),
inference(subsumption_resolution,[],[f12269,f972]) ).
fof(f12269,plain,
( ~ in_environment(sK0,sK3(sK0))
| ~ spl4_37
| ~ spl4_136
| ~ spl4_154 ),
inference(resolution,[],[f12268,f85]) ).
fof(f12268,plain,
( outcompetes(efficient_producers,first_movers,sK1(sK3(sK0)))
| ~ spl4_37
| ~ spl4_136
| ~ spl4_154 ),
inference(subsumption_resolution,[],[f12267,f972]) ).
fof(f12267,plain,
( outcompetes(efficient_producers,first_movers,sK1(sK3(sK0)))
| ~ in_environment(sK0,sK3(sK0))
| ~ spl4_136
| ~ spl4_154 ),
inference(subsumption_resolution,[],[f12266,f5741]) ).
fof(f5741,plain,
( greater(zero,growth_rate(first_movers,sK1(sK3(sK0))))
| ~ spl4_136 ),
inference(avatar_component_clause,[],[f5739]) ).
fof(f12266,plain,
( outcompetes(efficient_producers,first_movers,sK1(sK3(sK0)))
| ~ greater(zero,growth_rate(first_movers,sK1(sK3(sK0))))
| ~ in_environment(sK0,sK3(sK0))
| ~ spl4_154 ),
inference(resolution,[],[f12109,f83]) ).
fof(f12109,plain,
( ! [X0] :
( ~ subpopulations(X0,efficient_producers,sK0,sK1(sK3(sK0)))
| outcompetes(efficient_producers,X0,sK1(sK3(sK0)))
| ~ greater(zero,growth_rate(X0,sK1(sK3(sK0)))) )
| ~ spl4_154 ),
inference(resolution,[],[f12041,f81]) ).
fof(f12041,plain,
( ! [X0,X1] :
( ~ environment(X1)
| ~ subpopulations(X0,efficient_producers,X1,sK1(sK3(sK0)))
| outcompetes(efficient_producers,X0,sK1(sK3(sK0)))
| ~ greater(zero,growth_rate(X0,sK1(sK3(sK0)))) )
| ~ spl4_154 ),
inference(resolution,[],[f6069,f278]) ).
fof(f6069,plain,
( greater(growth_rate(efficient_producers,sK1(sK3(sK0))),zero)
| ~ spl4_154 ),
inference(avatar_component_clause,[],[f6067]) ).
fof(f6067,plain,
( spl4_154
<=> greater(growth_rate(efficient_producers,sK1(sK3(sK0))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_154])]) ).
fof(f12039,plain,
( spl4_137
| spl4_132
| spl4_133
| ~ spl4_134 ),
inference(avatar_split_clause,[],[f5731,f5704,f5700,f5696,f5750]) ).
fof(f5696,plain,
( spl4_132
<=> constant(cardinality_at_time(efficient_producers,sK1(sK3(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_132])]) ).
fof(f5700,plain,
( spl4_133
<=> decreases(cardinality_at_time(efficient_producers,sK1(sK3(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_133])]) ).
fof(f5731,plain,
( decreases(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| spl4_132
| spl4_133
| ~ spl4_134 ),
inference(subsumption_resolution,[],[f5730,f5697]) ).
fof(f5697,plain,
( ~ constant(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| spl4_132 ),
inference(avatar_component_clause,[],[f5696]) ).
fof(f5730,plain,
( constant(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| decreases(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| spl4_133
| ~ spl4_134 ),
inference(subsumption_resolution,[],[f5729,f5701]) ).
fof(f5701,plain,
( ~ decreases(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| spl4_133 ),
inference(avatar_component_clause,[],[f5700]) ).
fof(f5729,plain,
( decreases(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| constant(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| decreases(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| ~ spl4_134 ),
inference(subsumption_resolution,[],[f1414,f5705]) ).
fof(f5705,plain,
( constant(number_of_organizations(sK0,sK1(sK3(sK0))))
| ~ spl4_134 ),
inference(avatar_component_clause,[],[f5704]) ).
fof(f1414,plain,
( ~ constant(number_of_organizations(sK0,sK1(sK3(sK0))))
| decreases(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| constant(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| decreases(cardinality_at_time(first_movers,sK1(sK3(sK0)))) ),
inference(superposition,[],[f134,f341]) ).
fof(f341,plain,
number_of_organizations(sK0,sK1(sK3(sK0))) = sum(cardinality_at_time(first_movers,sK1(sK3(sK0))),cardinality_at_time(efficient_producers,sK1(sK3(sK0)))),
inference(subsumption_resolution,[],[f340,f81]) ).
fof(f340,plain,
( number_of_organizations(sK0,sK1(sK3(sK0))) = sum(cardinality_at_time(first_movers,sK1(sK3(sK0))),cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| ~ environment(sK0) ),
inference(subsumption_resolution,[],[f335,f82]) ).
fof(f335,plain,
( number_of_organizations(sK0,sK1(sK3(sK0))) = sum(cardinality_at_time(first_movers,sK1(sK3(sK0))),cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| ~ stable(sK0)
| ~ environment(sK0) ),
inference(resolution,[],[f221,f88]) ).
fof(f88,plain,
! [X0] :
( in_environment(X0,sK3(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f12017,plain,
( ~ spl4_154
| ~ spl4_180 ),
inference(avatar_contradiction_clause,[],[f12016]) ).
fof(f12016,plain,
( $false
| ~ spl4_154
| ~ spl4_180 ),
inference(subsumption_resolution,[],[f6075,f7661]) ).
fof(f7661,plain,
( greater(zero,growth_rate(efficient_producers,sK1(sK3(sK0))))
| ~ spl4_180 ),
inference(avatar_component_clause,[],[f7659]) ).
fof(f7659,plain,
( spl4_180
<=> greater(zero,growth_rate(efficient_producers,sK1(sK3(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_180])]) ).
fof(f6075,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK1(sK3(sK0))))
| ~ spl4_154 ),
inference(resolution,[],[f6069,f109]) ).
fof(f12012,plain,
( spl4_135
| ~ spl4_131
| spl4_154
| ~ spl4_233 ),
inference(avatar_split_clause,[],[f12007,f11678,f6067,f5692,f5736]) ).
fof(f5692,plain,
( spl4_131
<=> increases(cardinality_at_time(efficient_producers,sK1(sK3(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_131])]) ).
fof(f11678,plain,
( spl4_233
<=> greater(cardinality_at_time(efficient_producers,sK1(sK3(sK0))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_233])]) ).
fof(f12007,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_131
| spl4_154
| ~ spl4_233 ),
inference(subsumption_resolution,[],[f12006,f99]) ).
fof(f12006,plain,
( ! [X0] :
( ~ subpopulation(efficient_producers,X0,sK1(sK3(sK0)))
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_131
| spl4_154
| ~ spl4_233 ),
inference(subsumption_resolution,[],[f12005,f11679]) ).
fof(f11679,plain,
( greater(cardinality_at_time(efficient_producers,sK1(sK3(sK0))),zero)
| ~ spl4_233 ),
inference(avatar_component_clause,[],[f11678]) ).
fof(f12005,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(efficient_producers,sK1(sK3(sK0))),zero)
| ~ subpopulation(efficient_producers,X0,sK1(sK3(sK0)))
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_131
| spl4_154 ),
inference(subsumption_resolution,[],[f12004,f6068]) ).
fof(f6068,plain,
( ~ greater(growth_rate(efficient_producers,sK1(sK3(sK0))),zero)
| spl4_154 ),
inference(avatar_component_clause,[],[f6067]) ).
fof(f12004,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sK1(sK3(sK0))),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK1(sK3(sK0))),zero)
| ~ subpopulation(efficient_producers,X0,sK1(sK3(sK0)))
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_131 ),
inference(resolution,[],[f5694,f111]) ).
fof(f5694,plain,
( increases(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| ~ spl4_131 ),
inference(avatar_component_clause,[],[f5692]) ).
fof(f11979,plain,
( spl4_135
| spl4_131
| ~ spl4_134
| ~ spl4_136
| spl4_138
| ~ spl4_234 ),
inference(avatar_split_clause,[],[f11978,f11748,f5754,f5739,f5704,f5692,f5736]) ).
fof(f5754,plain,
( spl4_138
<=> constant(cardinality_at_time(first_movers,sK1(sK3(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_138])]) ).
fof(f11978,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| spl4_131
| ~ spl4_134
| ~ spl4_136
| spl4_138
| ~ spl4_234 ),
inference(subsumption_resolution,[],[f11785,f11749]) ).
fof(f11785,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(first_movers,sK1(sK3(sK0))),zero)
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| spl4_131
| ~ spl4_134
| ~ spl4_136
| spl4_138 ),
inference(subsumption_resolution,[],[f11784,f98]) ).
fof(f11784,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(first_movers,sK1(sK3(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(sK3(sK0)))
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| spl4_131
| ~ spl4_134
| ~ spl4_136
| spl4_138 ),
inference(subsumption_resolution,[],[f11783,f5770]) ).
fof(f5770,plain,
( ~ greater(growth_rate(first_movers,sK1(sK3(sK0))),zero)
| ~ spl4_136 ),
inference(resolution,[],[f5741,f109]) ).
fof(f11783,plain,
( ! [X0] :
( greater(growth_rate(first_movers,sK1(sK3(sK0))),zero)
| ~ greater(cardinality_at_time(first_movers,sK1(sK3(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(sK3(sK0)))
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| spl4_131
| ~ spl4_134
| spl4_138 ),
inference(resolution,[],[f7715,f111]) ).
fof(f7715,plain,
( increases(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| spl4_131
| ~ spl4_134
| spl4_138 ),
inference(subsumption_resolution,[],[f7714,f5693]) ).
fof(f5693,plain,
( ~ increases(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| spl4_131 ),
inference(avatar_component_clause,[],[f5692]) ).
fof(f7714,plain,
( increases(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| ~ spl4_134
| spl4_138 ),
inference(subsumption_resolution,[],[f7713,f5755]) ).
fof(f5755,plain,
( ~ constant(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| spl4_138 ),
inference(avatar_component_clause,[],[f5754]) ).
fof(f7713,plain,
( increases(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| constant(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| ~ spl4_134 ),
inference(subsumption_resolution,[],[f1413,f5705]) ).
fof(f1413,plain,
( ~ constant(number_of_organizations(sK0,sK1(sK3(sK0))))
| increases(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| constant(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(sK3(sK0)))) ),
inference(superposition,[],[f133,f341]) ).
fof(f11831,plain,
( spl4_135
| ~ spl4_133
| spl4_180
| ~ spl4_233 ),
inference(avatar_split_clause,[],[f11830,f11678,f7659,f5700,f5736]) ).
fof(f11830,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_133
| spl4_180
| ~ spl4_233 ),
inference(subsumption_resolution,[],[f11780,f7660]) ).
fof(f7660,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK1(sK3(sK0))))
| spl4_180 ),
inference(avatar_component_clause,[],[f7659]) ).
fof(f11780,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sK1(sK3(sK0))))
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_133
| ~ spl4_233 ),
inference(subsumption_resolution,[],[f11779,f99]) ).
fof(f11779,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sK1(sK3(sK0))))
| ~ subpopulation(efficient_producers,X0,sK1(sK3(sK0)))
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_133
| ~ spl4_233 ),
inference(subsumption_resolution,[],[f11778,f11679]) ).
fof(f11778,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sK1(sK3(sK0))))
| ~ greater(cardinality_at_time(efficient_producers,sK1(sK3(sK0))),zero)
| ~ subpopulation(efficient_producers,X0,sK1(sK3(sK0)))
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_133 ),
inference(resolution,[],[f5702,f112]) ).
fof(f5702,plain,
( decreases(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| ~ spl4_133 ),
inference(avatar_component_clause,[],[f5700]) ).
fof(f11755,plain,
( ~ spl4_37
| spl4_234 ),
inference(avatar_contradiction_clause,[],[f11754]) ).
fof(f11754,plain,
( $false
| ~ spl4_37
| spl4_234 ),
inference(subsumption_resolution,[],[f11752,f972]) ).
fof(f11752,plain,
( ~ in_environment(sK0,sK3(sK0))
| spl4_234 ),
inference(resolution,[],[f11750,f160]) ).
fof(f11750,plain,
( ~ greater(cardinality_at_time(first_movers,sK1(sK3(sK0))),zero)
| spl4_234 ),
inference(avatar_component_clause,[],[f11748]) ).
fof(f11751,plain,
( spl4_135
| ~ spl4_234
| ~ spl4_138
| spl4_155 ),
inference(avatar_split_clause,[],[f11659,f6082,f5754,f11748,f5736]) ).
fof(f6082,plain,
( spl4_155
<=> zero = growth_rate(first_movers,sK1(sK3(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_155])]) ).
fof(f11659,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(first_movers,sK1(sK3(sK0))),zero)
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_138
| spl4_155 ),
inference(subsumption_resolution,[],[f11658,f98]) ).
fof(f11658,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(first_movers,sK1(sK3(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(sK3(sK0)))
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_138
| spl4_155 ),
inference(subsumption_resolution,[],[f11657,f6083]) ).
fof(f6083,plain,
( zero != growth_rate(first_movers,sK1(sK3(sK0)))
| spl4_155 ),
inference(avatar_component_clause,[],[f6082]) ).
fof(f11657,plain,
( ! [X0] :
( zero = growth_rate(first_movers,sK1(sK3(sK0)))
| ~ greater(cardinality_at_time(first_movers,sK1(sK3(sK0))),zero)
| ~ subpopulation(first_movers,X0,sK1(sK3(sK0)))
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_138 ),
inference(resolution,[],[f5756,f110]) ).
fof(f5756,plain,
( constant(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| ~ spl4_138 ),
inference(avatar_component_clause,[],[f5754]) ).
fof(f11685,plain,
( ~ spl4_37
| spl4_233 ),
inference(avatar_contradiction_clause,[],[f11684]) ).
fof(f11684,plain,
( $false
| ~ spl4_37
| spl4_233 ),
inference(subsumption_resolution,[],[f11682,f972]) ).
fof(f11682,plain,
( ~ in_environment(sK0,sK3(sK0))
| spl4_233 ),
inference(resolution,[],[f11680,f165]) ).
fof(f11680,plain,
( ~ greater(cardinality_at_time(efficient_producers,sK1(sK3(sK0))),zero)
| spl4_233 ),
inference(avatar_component_clause,[],[f11678]) ).
fof(f11681,plain,
( spl4_135
| ~ spl4_233
| ~ spl4_132
| spl4_139 ),
inference(avatar_split_clause,[],[f11656,f5806,f5696,f11678,f5736]) ).
fof(f5806,plain,
( spl4_139
<=> zero = growth_rate(efficient_producers,sK1(sK3(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_139])]) ).
fof(f11656,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(efficient_producers,sK1(sK3(sK0))),zero)
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_132
| spl4_139 ),
inference(subsumption_resolution,[],[f11655,f99]) ).
fof(f11655,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(efficient_producers,sK1(sK3(sK0))),zero)
| ~ subpopulation(efficient_producers,X0,sK1(sK3(sK0)))
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_132
| spl4_139 ),
inference(subsumption_resolution,[],[f11654,f5807]) ).
fof(f5807,plain,
( zero != growth_rate(efficient_producers,sK1(sK3(sK0)))
| spl4_139 ),
inference(avatar_component_clause,[],[f5806]) ).
fof(f11654,plain,
( ! [X0] :
( zero = growth_rate(efficient_producers,sK1(sK3(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,sK1(sK3(sK0))),zero)
| ~ subpopulation(efficient_producers,X0,sK1(sK3(sK0)))
| ~ in_environment(X0,sK1(sK3(sK0)))
| ~ environment(X0) )
| ~ spl4_132 ),
inference(resolution,[],[f5698,f110]) ).
fof(f5698,plain,
( constant(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| ~ spl4_132 ),
inference(avatar_component_clause,[],[f5696]) ).
fof(f11624,plain,
( ~ spl4_2
| ~ spl4_37
| ~ spl4_41
| ~ spl4_120
| spl4_134 ),
inference(avatar_contradiction_clause,[],[f11623]) ).
fof(f11623,plain,
( $false
| ~ spl4_2
| ~ spl4_37
| ~ spl4_41
| ~ spl4_120
| spl4_134 ),
inference(subsumption_resolution,[],[f11621,f972]) ).
fof(f11621,plain,
( ~ in_environment(sK0,sK3(sK0))
| ~ spl4_2
| ~ spl4_41
| ~ spl4_120
| spl4_134 ),
inference(resolution,[],[f11620,f153]) ).
fof(f11620,plain,
( ~ greater(number_of_organizations(sK0,sK1(sK3(sK0))),zero)
| ~ spl4_2
| ~ spl4_41
| ~ spl4_120
| spl4_134 ),
inference(subsumption_resolution,[],[f11163,f6416]) ).
fof(f6416,plain,
( ~ greater(equilibrium(sK0),sK1(sK3(sK0)))
| ~ spl4_2
| ~ spl4_41 ),
inference(backward_demodulation,[],[f4995,f230]) ).
fof(f4995,plain,
( ~ greater(sK2(sK0),sK1(sK3(sK0)))
| ~ spl4_41 ),
inference(resolution,[],[f1031,f109]) ).
fof(f1031,plain,
( greater(sK1(sK3(sK0)),sK2(sK0))
| ~ spl4_41 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1029,plain,
( spl4_41
<=> greater(sK1(sK3(sK0)),sK2(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).
fof(f11163,plain,
( greater(equilibrium(sK0),sK1(sK3(sK0)))
| ~ greater(number_of_organizations(sK0,sK1(sK3(sK0))),zero)
| ~ spl4_120
| spl4_134 ),
inference(subsumption_resolution,[],[f11162,f81]) ).
fof(f11162,plain,
( greater(equilibrium(sK0),sK1(sK3(sK0)))
| ~ greater(number_of_organizations(sK0,sK1(sK3(sK0))),zero)
| ~ environment(sK0)
| ~ spl4_120
| spl4_134 ),
inference(subsumption_resolution,[],[f8789,f5321]) ).
fof(f8789,plain,
( greater(equilibrium(sK0),sK1(sK3(sK0)))
| ~ greater(number_of_organizations(sK0,sK1(sK3(sK0))),zero)
| ~ in_environment(sK0,sK1(sK3(sK0)))
| ~ environment(sK0)
| ~ spl4_120
| spl4_134 ),
inference(resolution,[],[f5710,f91]) ).
fof(f10833,plain,
( spl4_177
| ~ spl4_199 ),
inference(avatar_split_clause,[],[f10255,f10251,f7520]) ).
fof(f10255,plain,
( ! [X0,X1] :
( outcompetes(efficient_producers,X0,sK1(equilibrium(sK0)))
| ~ subpopulations(X0,efficient_producers,X1,sK1(equilibrium(sK0)))
| ~ environment(X1)
| ~ greater(zero,growth_rate(X0,sK1(equilibrium(sK0)))) )
| ~ spl4_199 ),
inference(resolution,[],[f10253,f278]) ).
fof(f10253,plain,
( greater(growth_rate(efficient_producers,sK1(equilibrium(sK0))),zero)
| ~ spl4_199 ),
inference(avatar_component_clause,[],[f10251]) ).
fof(f10151,plain,
( spl4_14
| ~ spl4_195
| ~ spl4_197 ),
inference(avatar_contradiction_clause,[],[f10150]) ).
fof(f10150,plain,
( $false
| spl4_14
| ~ spl4_195
| ~ spl4_197 ),
inference(subsumption_resolution,[],[f10060,f9999]) ).
fof(f9999,plain,
( zero = growth_rate(first_movers,sK1(equilibrium(sK0)))
| ~ spl4_197 ),
inference(avatar_component_clause,[],[f9997]) ).
fof(f10060,plain,
( zero != growth_rate(first_movers,sK1(equilibrium(sK0)))
| spl4_14
| ~ spl4_195 ),
inference(backward_demodulation,[],[f504,f9918]) ).
fof(f504,plain,
( growth_rate(efficient_producers,sK1(equilibrium(sK0))) != growth_rate(first_movers,sK1(equilibrium(sK0)))
| spl4_14 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f503,plain,
( spl4_14
<=> growth_rate(efficient_producers,sK1(equilibrium(sK0))) = growth_rate(first_movers,sK1(equilibrium(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f9932,plain,
( ~ spl4_23
| ~ spl4_194 ),
inference(avatar_contradiction_clause,[],[f9931]) ).
fof(f9931,plain,
( $false
| ~ spl4_23
| ~ spl4_194 ),
inference(subsumption_resolution,[],[f9930,f683]) ).
fof(f9930,plain,
( ~ in_environment(sK0,sK1(equilibrium(sK0)))
| ~ spl4_194 ),
inference(resolution,[],[f9914,f81]) ).
fof(f9914,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1(equilibrium(sK0))) )
| ~ spl4_194 ),
inference(avatar_component_clause,[],[f9913]) ).
fof(f8419,plain,
( ~ spl4_7
| ~ spl4_2
| spl4_32 ),
inference(avatar_split_clause,[],[f8271,f912,f228,f292]) ).
fof(f292,plain,
( spl4_7
<=> equilibrium(sK0) = sK1(equilibrium(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f8271,plain,
( equilibrium(sK0) != sK1(equilibrium(sK0))
| ~ spl4_2
| spl4_32 ),
inference(forward_demodulation,[],[f913,f230]) ).
fof(f8115,plain,
( ~ spl4_2
| ~ spl4_18 ),
inference(avatar_contradiction_clause,[],[f8114]) ).
fof(f8114,plain,
( $false
| ~ spl4_2
| ~ spl4_18 ),
inference(subsumption_resolution,[],[f8113,f127]) ).
fof(f8113,plain,
( greater(equilibrium(sK0),equilibrium(sK0))
| ~ spl4_2
| ~ spl4_18 ),
inference(forward_demodulation,[],[f601,f230]) ).
fof(f601,plain,
( greater(equilibrium(sK0),sK2(sK0))
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f599,plain,
( spl4_18
<=> greater(equilibrium(sK0),sK2(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f8002,plain,
( spl4_91
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f6473,f228,f2401]) ).
fof(f6473,plain,
( in_environment(sK0,equilibrium(sK0))
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f6472,f81]) ).
fof(f6472,plain,
( in_environment(sK0,equilibrium(sK0))
| ~ environment(sK0)
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f6448,f82]) ).
fof(f6448,plain,
( in_environment(sK0,equilibrium(sK0))
| ~ stable(sK0)
| ~ environment(sK0)
| ~ spl4_2 ),
inference(superposition,[],[f86,f230]) ).
fof(f7978,plain,
( ~ spl4_2
| ~ spl4_14
| ~ spl4_30 ),
inference(avatar_contradiction_clause,[],[f7977]) ).
fof(f7977,plain,
( $false
| ~ spl4_2
| ~ spl4_14
| ~ spl4_30 ),
inference(subsumption_resolution,[],[f7976,f127]) ).
fof(f7976,plain,
( greater(growth_rate(first_movers,sK1(equilibrium(sK0))),growth_rate(first_movers,sK1(equilibrium(sK0))))
| ~ spl4_2
| ~ spl4_14
| ~ spl4_30 ),
inference(forward_demodulation,[],[f2861,f505]) ).
fof(f505,plain,
( growth_rate(efficient_producers,sK1(equilibrium(sK0))) = growth_rate(first_movers,sK1(equilibrium(sK0)))
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f7727,plain,
( spl4_136
| ~ spl4_38
| ~ spl4_139 ),
inference(avatar_split_clause,[],[f5810,f5806,f975,f5739]) ).
fof(f975,plain,
( spl4_38
<=> greater(growth_rate(efficient_producers,sK1(sK3(sK0))),growth_rate(first_movers,sK1(sK3(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).
fof(f5810,plain,
( greater(zero,growth_rate(first_movers,sK1(sK3(sK0))))
| ~ spl4_38
| ~ spl4_139 ),
inference(backward_demodulation,[],[f977,f5808]) ).
fof(f5808,plain,
( zero = growth_rate(efficient_producers,sK1(sK3(sK0)))
| ~ spl4_139 ),
inference(avatar_component_clause,[],[f5806]) ).
fof(f977,plain,
( greater(growth_rate(efficient_producers,sK1(sK3(sK0))),growth_rate(first_movers,sK1(sK3(sK0))))
| ~ spl4_38 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f7712,plain,
( ~ spl4_38
| spl4_136
| ~ spl4_180 ),
inference(avatar_contradiction_clause,[],[f7711]) ).
fof(f7711,plain,
( $false
| ~ spl4_38
| spl4_136
| ~ spl4_180 ),
inference(subsumption_resolution,[],[f7663,f5740]) ).
fof(f7663,plain,
( greater(zero,growth_rate(first_movers,sK1(sK3(sK0))))
| ~ spl4_38
| ~ spl4_180 ),
inference(resolution,[],[f7661,f995]) ).
fof(f995,plain,
( ! [X0] :
( ~ greater(X0,growth_rate(efficient_producers,sK1(sK3(sK0))))
| greater(X0,growth_rate(first_movers,sK1(sK3(sK0)))) )
| ~ spl4_38 ),
inference(resolution,[],[f977,f117]) ).
fof(f7385,plain,
( ~ spl4_136
| ~ spl4_155 ),
inference(avatar_contradiction_clause,[],[f7384]) ).
fof(f7384,plain,
( $false
| ~ spl4_136
| ~ spl4_155 ),
inference(subsumption_resolution,[],[f7369,f127]) ).
fof(f7369,plain,
( greater(zero,zero)
| ~ spl4_136
| ~ spl4_155 ),
inference(backward_demodulation,[],[f5741,f6084]) ).
fof(f6084,plain,
( zero = growth_rate(first_movers,sK1(sK3(sK0)))
| ~ spl4_155 ),
inference(avatar_component_clause,[],[f6082]) ).
fof(f7383,plain,
( ~ spl4_38
| spl4_154
| ~ spl4_155 ),
inference(avatar_contradiction_clause,[],[f7382]) ).
fof(f7382,plain,
( $false
| ~ spl4_38
| spl4_154
| ~ spl4_155 ),
inference(subsumption_resolution,[],[f7364,f6068]) ).
fof(f7364,plain,
( greater(growth_rate(efficient_producers,sK1(sK3(sK0))),zero)
| ~ spl4_38
| ~ spl4_155 ),
inference(backward_demodulation,[],[f977,f6084]) ).
fof(f6686,plain,
( spl4_7
| ~ spl4_2
| ~ spl4_40
| ~ spl4_91 ),
inference(avatar_split_clause,[],[f6618,f2401,f1018,f228,f292]) ).
fof(f6618,plain,
( equilibrium(sK0) = sK1(equilibrium(sK0))
| ~ spl4_2
| ~ spl4_40
| ~ spl4_91 ),
inference(subsumption_resolution,[],[f6617,f2402]) ).
fof(f6617,plain,
( ~ in_environment(sK0,equilibrium(sK0))
| equilibrium(sK0) = sK1(equilibrium(sK0))
| ~ spl4_2
| ~ spl4_40 ),
inference(subsumption_resolution,[],[f6615,f127]) ).
fof(f6615,plain,
( greater(equilibrium(sK0),equilibrium(sK0))
| ~ in_environment(sK0,equilibrium(sK0))
| equilibrium(sK0) = sK1(equilibrium(sK0))
| ~ spl4_2
| ~ spl4_40 ),
inference(duplicate_literal_removal,[],[f6612]) ).
fof(f6612,plain,
( greater(equilibrium(sK0),equilibrium(sK0))
| ~ in_environment(sK0,equilibrium(sK0))
| equilibrium(sK0) = sK1(equilibrium(sK0))
| equilibrium(sK0) = sK1(equilibrium(sK0))
| ~ spl4_2
| ~ spl4_40 ),
inference(resolution,[],[f6510,f177]) ).
fof(f177,plain,
! [X0,X1] :
( ~ greater_or_equal(X1,sK1(X0))
| greater(X1,X0)
| ~ in_environment(sK0,X0)
| sK1(X0) = X1
| sK1(X0) = X0 ),
inference(resolution,[],[f172,f105]) ).
fof(f172,plain,
! [X6,X5] :
( ~ greater(X5,sK1(X6))
| sK1(X6) = X6
| greater(X5,X6)
| ~ in_environment(sK0,X6) ),
inference(resolution,[],[f140,f84]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ greater_or_equal(X2,X1)
| ~ greater(X0,X2)
| X1 = X2
| greater(X0,X1) ),
inference(resolution,[],[f117,f105]) ).
fof(f6510,plain,
( greater_or_equal(equilibrium(sK0),sK1(equilibrium(sK0)))
| ~ spl4_2
| ~ spl4_40 ),
inference(forward_demodulation,[],[f1019,f230]) ).
fof(f1019,plain,
( greater_or_equal(equilibrium(sK0),sK1(sK2(sK0)))
| ~ spl4_40 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f6041,plain,
( spl4_131
| spl4_133
| ~ spl4_134
| spl4_138 ),
inference(avatar_contradiction_clause,[],[f6040]) ).
fof(f6040,plain,
( $false
| spl4_131
| spl4_133
| ~ spl4_134
| spl4_138 ),
inference(subsumption_resolution,[],[f6035,f5693]) ).
fof(f6035,plain,
( increases(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| spl4_133
| ~ spl4_134
| spl4_138 ),
inference(subsumption_resolution,[],[f6034,f5755]) ).
fof(f6034,plain,
( constant(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| spl4_133
| ~ spl4_134 ),
inference(subsumption_resolution,[],[f6033,f5701]) ).
fof(f6033,plain,
( decreases(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| constant(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| ~ spl4_134 ),
inference(subsumption_resolution,[],[f5057,f5705]) ).
fof(f5057,plain,
( ~ constant(number_of_organizations(sK0,sK1(sK3(sK0))))
| decreases(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| constant(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| increases(cardinality_at_time(efficient_producers,sK1(sK3(sK0)))) ),
inference(superposition,[],[f131,f341]) ).
fof(f131,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| constant(X1)
| increases(X2) ),
inference(equality_resolution,[],[f124]) ).
fof(f124,plain,
! [X2,X0,X1] :
( increases(X2)
| decreases(X2)
| constant(X1)
| ~ constant(X0)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f5765,plain,
( ~ spl4_120
| ~ spl4_135 ),
inference(avatar_contradiction_clause,[],[f5764]) ).
fof(f5764,plain,
( $false
| ~ spl4_120
| ~ spl4_135 ),
inference(subsumption_resolution,[],[f5763,f5321]) ).
fof(f5763,plain,
( ~ in_environment(sK0,sK1(sK3(sK0)))
| ~ spl4_135 ),
inference(resolution,[],[f5737,f81]) ).
fof(f5737,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1(sK3(sK0))) )
| ~ spl4_135 ),
inference(avatar_component_clause,[],[f5736]) ).
fof(f5757,plain,
( spl4_137
| spl4_138
| spl4_133
| ~ spl4_134 ),
inference(avatar_split_clause,[],[f5744,f5704,f5700,f5754,f5750]) ).
fof(f5744,plain,
( constant(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| decreases(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| spl4_133
| ~ spl4_134 ),
inference(subsumption_resolution,[],[f5743,f5701]) ).
fof(f5743,plain,
( decreases(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| constant(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| decreases(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| ~ spl4_134 ),
inference(subsumption_resolution,[],[f1415,f5705]) ).
fof(f1415,plain,
( ~ constant(number_of_organizations(sK0,sK1(sK3(sK0))))
| decreases(cardinality_at_time(efficient_producers,sK1(sK3(sK0))))
| constant(cardinality_at_time(first_movers,sK1(sK3(sK0))))
| decreases(cardinality_at_time(first_movers,sK1(sK3(sK0)))) ),
inference(superposition,[],[f135,f341]) ).
fof(f135,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| constant(X1)
| decreases(X1) ),
inference(equality_resolution,[],[f120]) ).
fof(f120,plain,
! [X2,X0,X1] :
( decreases(X1)
| decreases(X2)
| constant(X1)
| ~ constant(X0)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f5716,plain,
( ~ spl4_1
| ~ spl4_41
| ~ spl4_120
| ~ spl4_122
| spl4_134 ),
inference(avatar_contradiction_clause,[],[f5715]) ).
fof(f5715,plain,
( $false
| ~ spl4_1
| ~ spl4_41
| ~ spl4_120
| ~ spl4_122
| spl4_134 ),
inference(subsumption_resolution,[],[f5714,f81]) ).
fof(f5714,plain,
( ~ environment(sK0)
| ~ spl4_1
| ~ spl4_41
| ~ spl4_120
| ~ spl4_122
| spl4_134 ),
inference(subsumption_resolution,[],[f5713,f5321]) ).
fof(f5713,plain,
( ~ in_environment(sK0,sK1(sK3(sK0)))
| ~ environment(sK0)
| ~ spl4_1
| ~ spl4_41
| ~ spl4_120
| ~ spl4_122
| spl4_134 ),
inference(subsumption_resolution,[],[f5712,f5617]) ).
fof(f5617,plain,
( greater(number_of_organizations(sK0,sK1(sK3(sK0))),zero)
| ~ spl4_120
| ~ spl4_122 ),
inference(subsumption_resolution,[],[f5584,f5321]) ).
fof(f5584,plain,
( greater(number_of_organizations(sK0,sK1(sK3(sK0))),zero)
| ~ in_environment(sK0,sK1(sK3(sK0)))
| ~ spl4_122 ),
inference(superposition,[],[f153,f5330]) ).
fof(f5330,plain,
( sK1(sK3(sK0)) = sK1(sK1(sK3(sK0)))
| ~ spl4_122 ),
inference(avatar_component_clause,[],[f5328]) ).
fof(f5712,plain,
( ~ greater(number_of_organizations(sK0,sK1(sK3(sK0))),zero)
| ~ in_environment(sK0,sK1(sK3(sK0)))
| ~ environment(sK0)
| ~ spl4_1
| ~ spl4_41
| ~ spl4_120
| spl4_134 ),
inference(subsumption_resolution,[],[f5711,f5013]) ).
fof(f5013,plain,
( ~ greater(equilibrium(sK0),sK1(sK3(sK0)))
| ~ spl4_1
| ~ spl4_41 ),
inference(resolution,[],[f4992,f109]) ).
fof(f4992,plain,
( greater(sK1(sK3(sK0)),equilibrium(sK0))
| ~ spl4_1
| ~ spl4_41 ),
inference(resolution,[],[f1031,f226]) ).
fof(f5711,plain,
( greater(equilibrium(sK0),sK1(sK3(sK0)))
| ~ greater(number_of_organizations(sK0,sK1(sK3(sK0))),zero)
| ~ in_environment(sK0,sK1(sK3(sK0)))
| ~ environment(sK0)
| ~ spl4_120
| spl4_134 ),
inference(resolution,[],[f5710,f91]) ).
fof(f5373,plain,
( ~ spl4_37
| spl4_42
| ~ spl4_54 ),
inference(avatar_contradiction_clause,[],[f5372]) ).
fof(f5372,plain,
( $false
| ~ spl4_37
| spl4_42
| ~ spl4_54 ),
inference(subsumption_resolution,[],[f5371,f972]) ).
fof(f5371,plain,
( ~ in_environment(sK0,sK3(sK0))
| spl4_42
| ~ spl4_54 ),
inference(subsumption_resolution,[],[f5370,f127]) ).
fof(f5370,plain,
( greater(sK3(sK0),sK3(sK0))
| ~ in_environment(sK0,sK3(sK0))
| spl4_42
| ~ spl4_54 ),
inference(subsumption_resolution,[],[f5363,f1034]) ).
fof(f1034,plain,
( sK3(sK0) != sK1(sK3(sK0))
| spl4_42 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f5363,plain,
( sK3(sK0) = sK1(sK3(sK0))
| greater(sK3(sK0),sK3(sK0))
| ~ in_environment(sK0,sK3(sK0))
| ~ spl4_54 ),
inference(resolution,[],[f1384,f172]) ).
fof(f1384,plain,
( greater(sK3(sK0),sK1(sK3(sK0)))
| ~ spl4_54 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f1382,plain,
( spl4_54
<=> greater(sK3(sK0),sK1(sK3(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_54])]) ).
fof(f5337,plain,
( ~ spl4_37
| spl4_120 ),
inference(avatar_contradiction_clause,[],[f5336]) ).
fof(f5336,plain,
( $false
| ~ spl4_37
| spl4_120 ),
inference(subsumption_resolution,[],[f5335,f972]) ).
fof(f5335,plain,
( ~ in_environment(sK0,sK3(sK0))
| spl4_120 ),
inference(resolution,[],[f5333,f83]) ).
fof(f5333,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1(sK3(sK0)))
| spl4_120 ),
inference(subsumption_resolution,[],[f5332,f81]) ).
fof(f5332,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1(sK3(sK0)))
| ~ environment(sK0)
| spl4_120 ),
inference(resolution,[],[f5322,f101]) ).
fof(f5322,plain,
( ~ in_environment(sK0,sK1(sK3(sK0)))
| spl4_120 ),
inference(avatar_component_clause,[],[f5320]) ).
fof(f4953,plain,
( spl4_5
| ~ spl4_1
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f4938,f784,f225,f268]) ).
fof(f784,plain,
( spl4_26
<=> greater(sK3(sK0),sK2(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f4938,plain,
( greater(sK3(sK0),equilibrium(sK0))
| ~ spl4_1
| ~ spl4_26 ),
inference(resolution,[],[f786,f226]) ).
fof(f786,plain,
( greater(sK3(sK0),sK2(sK0))
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f4860,plain,
( spl4_58
| spl4_59
| ~ spl4_60
| spl4_107 ),
inference(avatar_contradiction_clause,[],[f4859]) ).
fof(f4859,plain,
( $false
| spl4_58
| spl4_59
| ~ spl4_60
| spl4_107 ),
inference(subsumption_resolution,[],[f4845,f4692]) ).
fof(f4692,plain,
( ~ decreases(cardinality_at_time(first_movers,sK2(sK0)))
| spl4_107 ),
inference(avatar_component_clause,[],[f4691]) ).
fof(f4691,plain,
( spl4_107
<=> decreases(cardinality_at_time(first_movers,sK2(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_107])]) ).
fof(f4845,plain,
( decreases(cardinality_at_time(first_movers,sK2(sK0)))
| spl4_58
| spl4_59
| ~ spl4_60 ),
inference(subsumption_resolution,[],[f4844,f1438]) ).
fof(f1438,plain,
( ~ constant(cardinality_at_time(efficient_producers,sK2(sK0)))
| spl4_58 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1437,plain,
( spl4_58
<=> constant(cardinality_at_time(efficient_producers,sK2(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_58])]) ).
fof(f4844,plain,
( constant(cardinality_at_time(efficient_producers,sK2(sK0)))
| decreases(cardinality_at_time(first_movers,sK2(sK0)))
| spl4_59
| ~ spl4_60 ),
inference(subsumption_resolution,[],[f4463,f1442]) ).
fof(f1442,plain,
( ~ decreases(cardinality_at_time(efficient_producers,sK2(sK0)))
| spl4_59 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f1441,plain,
( spl4_59
<=> decreases(cardinality_at_time(efficient_producers,sK2(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_59])]) ).
fof(f4463,plain,
( decreases(cardinality_at_time(efficient_producers,sK2(sK0)))
| constant(cardinality_at_time(efficient_producers,sK2(sK0)))
| decreases(cardinality_at_time(first_movers,sK2(sK0)))
| ~ spl4_60 ),
inference(subsumption_resolution,[],[f206,f1446]) ).
fof(f1446,plain,
( constant(number_of_organizations(sK0,sK2(sK0)))
| ~ spl4_60 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f1445,plain,
( spl4_60
<=> constant(number_of_organizations(sK0,sK2(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_60])]) ).
fof(f206,plain,
( ~ constant(number_of_organizations(sK0,sK2(sK0)))
| decreases(cardinality_at_time(efficient_producers,sK2(sK0)))
| constant(cardinality_at_time(efficient_producers,sK2(sK0)))
| decreases(cardinality_at_time(first_movers,sK2(sK0))) ),
inference(superposition,[],[f134,f198]) ).
fof(f198,plain,
number_of_organizations(sK0,sK2(sK0)) = sum(cardinality_at_time(first_movers,sK2(sK0)),cardinality_at_time(efficient_producers,sK2(sK0))),
inference(subsumption_resolution,[],[f197,f81]) ).
fof(f197,plain,
( number_of_organizations(sK0,sK2(sK0)) = sum(cardinality_at_time(first_movers,sK2(sK0)),cardinality_at_time(efficient_producers,sK2(sK0)))
| ~ environment(sK0) ),
inference(subsumption_resolution,[],[f194,f82]) ).
fof(f194,plain,
( number_of_organizations(sK0,sK2(sK0)) = sum(cardinality_at_time(first_movers,sK2(sK0)),cardinality_at_time(efficient_producers,sK2(sK0)))
| ~ stable(sK0)
| ~ environment(sK0) ),
inference(resolution,[],[f192,f86]) ).
fof(f4837,plain,
( ~ spl4_29
| ~ spl4_32
| ~ spl4_62
| ~ spl4_109 ),
inference(avatar_contradiction_clause,[],[f4836]) ).
fof(f4836,plain,
( $false
| ~ spl4_29
| ~ spl4_32
| ~ spl4_62
| ~ spl4_109 ),
inference(subsumption_resolution,[],[f4835,f4705]) ).
fof(f4705,plain,
( greater(zero,growth_rate(first_movers,sK2(sK0)))
| ~ spl4_109 ),
inference(avatar_component_clause,[],[f4703]) ).
fof(f4703,plain,
( spl4_109
<=> greater(zero,growth_rate(first_movers,sK2(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_109])]) ).
fof(f4835,plain,
( ~ greater(zero,growth_rate(first_movers,sK2(sK0)))
| ~ spl4_29
| ~ spl4_32
| ~ spl4_62 ),
inference(subsumption_resolution,[],[f4834,f1167]) ).
fof(f1167,plain,
( ~ outcompetes(efficient_producers,first_movers,sK2(sK0))
| ~ spl4_29
| ~ spl4_32 ),
inference(subsumption_resolution,[],[f1141,f847]) ).
fof(f1141,plain,
( ~ outcompetes(efficient_producers,first_movers,sK2(sK0))
| ~ in_environment(sK0,sK2(sK0))
| ~ spl4_32 ),
inference(superposition,[],[f85,f914]) ).
fof(f914,plain,
( sK2(sK0) = sK1(sK2(sK0))
| ~ spl4_32 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f4834,plain,
( outcompetes(efficient_producers,first_movers,sK2(sK0))
| ~ greater(zero,growth_rate(first_movers,sK2(sK0)))
| ~ spl4_29
| ~ spl4_32
| ~ spl4_62 ),
inference(resolution,[],[f4833,f1166]) ).
fof(f1166,plain,
( subpopulations(first_movers,efficient_producers,sK0,sK2(sK0))
| ~ spl4_29
| ~ spl4_32 ),
inference(subsumption_resolution,[],[f1139,f847]) ).
fof(f1139,plain,
( subpopulations(first_movers,efficient_producers,sK0,sK2(sK0))
| ~ in_environment(sK0,sK2(sK0))
| ~ spl4_32 ),
inference(superposition,[],[f83,f914]) ).
fof(f4833,plain,
( ! [X0] :
( ~ subpopulations(X0,efficient_producers,sK0,sK2(sK0))
| outcompetes(efficient_producers,X0,sK2(sK0))
| ~ greater(zero,growth_rate(X0,sK2(sK0))) )
| ~ spl4_62 ),
inference(resolution,[],[f4473,f81]) ).
fof(f4473,plain,
( ! [X0,X1] :
( ~ environment(X1)
| ~ subpopulations(X0,efficient_producers,X1,sK2(sK0))
| outcompetes(efficient_producers,X0,sK2(sK0))
| ~ greater(zero,growth_rate(X0,sK2(sK0))) )
| ~ spl4_62 ),
inference(resolution,[],[f1467,f278]) ).
fof(f1467,plain,
( greater(growth_rate(efficient_producers,sK2(sK0)),zero)
| ~ spl4_62 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f1465,plain,
( spl4_62
<=> greater(growth_rate(efficient_producers,sK2(sK0)),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_62])]) ).
fof(f4706,plain,
( spl4_61
| spl4_109
| ~ spl4_29
| ~ spl4_32
| ~ spl4_107 ),
inference(avatar_split_clause,[],[f4701,f4691,f912,f846,f4703,f1462]) ).
fof(f1462,plain,
( spl4_61
<=> ! [X0] :
( ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_61])]) ).
fof(f4701,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sK2(sK0)))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_29
| ~ spl4_32
| ~ spl4_107 ),
inference(subsumption_resolution,[],[f4700,f98]) ).
fof(f4700,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sK2(sK0)))
| ~ subpopulation(first_movers,X0,sK2(sK0))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_29
| ~ spl4_32
| ~ spl4_107 ),
inference(subsumption_resolution,[],[f4699,f1173]) ).
fof(f1173,plain,
( greater(cardinality_at_time(first_movers,sK2(sK0)),zero)
| ~ spl4_29
| ~ spl4_32 ),
inference(subsumption_resolution,[],[f1148,f847]) ).
fof(f1148,plain,
( greater(cardinality_at_time(first_movers,sK2(sK0)),zero)
| ~ in_environment(sK0,sK2(sK0))
| ~ spl4_32 ),
inference(superposition,[],[f160,f914]) ).
fof(f4699,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sK2(sK0)))
| ~ greater(cardinality_at_time(first_movers,sK2(sK0)),zero)
| ~ subpopulation(first_movers,X0,sK2(sK0))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_107 ),
inference(resolution,[],[f4693,f112]) ).
fof(f4693,plain,
( decreases(cardinality_at_time(first_movers,sK2(sK0)))
| ~ spl4_107 ),
inference(avatar_component_clause,[],[f4691]) ).
fof(f4532,plain,
( ~ spl4_30
| ~ spl4_32
| ~ spl4_55 ),
inference(avatar_contradiction_clause,[],[f4531]) ).
fof(f4531,plain,
( $false
| ~ spl4_30
| ~ spl4_32
| ~ spl4_55 ),
inference(subsumption_resolution,[],[f4523,f127]) ).
fof(f4523,plain,
( greater(growth_rate(first_movers,sK2(sK0)),growth_rate(first_movers,sK2(sK0)))
| ~ spl4_30
| ~ spl4_32
| ~ spl4_55 ),
inference(backward_demodulation,[],[f1134,f1422]) ).
fof(f1422,plain,
( growth_rate(efficient_producers,sK2(sK0)) = growth_rate(first_movers,sK2(sK0))
| ~ spl4_55 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1420,plain,
( spl4_55
<=> growth_rate(efficient_producers,sK2(sK0)) = growth_rate(first_movers,sK2(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_55])]) ).
fof(f1134,plain,
( greater(growth_rate(efficient_producers,sK2(sK0)),growth_rate(first_movers,sK2(sK0)))
| ~ spl4_30
| ~ spl4_32 ),
inference(backward_demodulation,[],[f852,f914]) ).
fof(f4488,plain,
( ~ spl4_62
| ~ spl4_68 ),
inference(avatar_contradiction_clause,[],[f4487]) ).
fof(f4487,plain,
( $false
| ~ spl4_62
| ~ spl4_68 ),
inference(subsumption_resolution,[],[f4485,f1467]) ).
fof(f4485,plain,
( ~ greater(growth_rate(efficient_producers,sK2(sK0)),zero)
| ~ spl4_68 ),
inference(resolution,[],[f1549,f109]) ).
fof(f1549,plain,
( greater(zero,growth_rate(efficient_producers,sK2(sK0)))
| ~ spl4_68 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f1547,plain,
( spl4_68
<=> greater(zero,growth_rate(efficient_producers,sK2(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_68])]) ).
fof(f4365,plain,
( ~ spl4_62
| ~ spl4_63 ),
inference(avatar_contradiction_clause,[],[f4364]) ).
fof(f4364,plain,
( $false
| ~ spl4_62
| ~ spl4_63 ),
inference(subsumption_resolution,[],[f4359,f127]) ).
fof(f4359,plain,
( greater(zero,zero)
| ~ spl4_62
| ~ spl4_63 ),
inference(backward_demodulation,[],[f1467,f1479]) ).
fof(f1479,plain,
( zero = growth_rate(efficient_producers,sK2(sK0))
| ~ spl4_63 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f1477,plain,
( spl4_63
<=> zero = growth_rate(efficient_producers,sK2(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_63])]) ).
fof(f4322,plain,
( spl4_38
| ~ spl4_37 ),
inference(avatar_split_clause,[],[f4296,f971,f975]) ).
fof(f4296,plain,
( greater(growth_rate(efficient_producers,sK1(sK3(sK0))),growth_rate(first_movers,sK1(sK3(sK0))))
| ~ spl4_37 ),
inference(subsumption_resolution,[],[f4295,f972]) ).
fof(f4295,plain,
( greater(growth_rate(efficient_producers,sK1(sK3(sK0))),growth_rate(first_movers,sK1(sK3(sK0))))
| ~ in_environment(sK0,sK3(sK0)) ),
inference(duplicate_literal_removal,[],[f4292]) ).
fof(f4292,plain,
( greater(growth_rate(efficient_producers,sK1(sK3(sK0))),growth_rate(first_movers,sK1(sK3(sK0))))
| ~ in_environment(sK0,sK3(sK0))
| ~ in_environment(sK0,sK3(sK0)) ),
inference(resolution,[],[f696,f84]) ).
fof(f4229,plain,
( spl4_2
| ~ spl4_18 ),
inference(avatar_contradiction_clause,[],[f4228]) ).
fof(f4228,plain,
( $false
| spl4_2
| ~ spl4_18 ),
inference(subsumption_resolution,[],[f4227,f229]) ).
fof(f229,plain,
( equilibrium(sK0) != sK2(sK0)
| spl4_2 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f4227,plain,
( equilibrium(sK0) = sK2(sK0)
| ~ spl4_18 ),
inference(subsumption_resolution,[],[f4226,f81]) ).
fof(f4226,plain,
( ~ environment(sK0)
| equilibrium(sK0) = sK2(sK0)
| ~ spl4_18 ),
inference(subsumption_resolution,[],[f4220,f82]) ).
fof(f4220,plain,
( ~ stable(sK0)
| ~ environment(sK0)
| equilibrium(sK0) = sK2(sK0)
| ~ spl4_18 ),
inference(resolution,[],[f601,f181]) ).
fof(f181,plain,
! [X0] :
( ~ greater(equilibrium(X0),sK2(X0))
| ~ stable(X0)
| ~ environment(X0)
| equilibrium(X0) = sK2(X0) ),
inference(resolution,[],[f148,f106]) ).
fof(f148,plain,
! [X4] :
( ~ greater_or_equal(equilibrium(X4),sK2(X4))
| sK2(X4) = equilibrium(X4)
| ~ stable(X4)
| ~ environment(X4) ),
inference(resolution,[],[f144,f87]) ).
fof(f87,plain,
! [X0] :
( greater_or_equal(sK2(X0),equilibrium(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f144,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| ~ greater_or_equal(X1,X0) ),
inference(duplicate_literal_removal,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| X0 = X1
| ~ greater_or_equal(X1,X0) ),
inference(resolution,[],[f139,f105]) ).
fof(f139,plain,
! [X2,X1] :
( ~ greater(X2,X1)
| ~ greater_or_equal(X1,X2)
| X1 = X2 ),
inference(resolution,[],[f105,f109]) ).
fof(f4062,plain,
( ~ spl4_30
| ~ spl4_32
| ~ spl4_68
| ~ spl4_69 ),
inference(avatar_contradiction_clause,[],[f4061]) ).
fof(f4061,plain,
( $false
| ~ spl4_30
| ~ spl4_32
| ~ spl4_68
| ~ spl4_69 ),
inference(subsumption_resolution,[],[f1558,f1898]) ).
fof(f1898,plain,
( greater(growth_rate(first_movers,sK2(sK0)),zero)
| ~ spl4_69 ),
inference(avatar_component_clause,[],[f1896]) ).
fof(f1896,plain,
( spl4_69
<=> greater(growth_rate(first_movers,sK2(sK0)),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_69])]) ).
fof(f1558,plain,
( ~ greater(growth_rate(first_movers,sK2(sK0)),zero)
| ~ spl4_30
| ~ spl4_32
| ~ spl4_68 ),
inference(resolution,[],[f1551,f109]) ).
fof(f1551,plain,
( greater(zero,growth_rate(first_movers,sK2(sK0)))
| ~ spl4_30
| ~ spl4_32
| ~ spl4_68 ),
inference(resolution,[],[f1549,f1195]) ).
fof(f1195,plain,
( ! [X0] :
( ~ greater(X0,growth_rate(efficient_producers,sK2(sK0)))
| greater(X0,growth_rate(first_movers,sK2(sK0))) )
| ~ spl4_30
| ~ spl4_32 ),
inference(resolution,[],[f1134,f117]) ).
fof(f3191,plain,
( ~ spl4_63
| ~ spl4_68 ),
inference(avatar_contradiction_clause,[],[f3190]) ).
fof(f3190,plain,
( $false
| ~ spl4_63
| ~ spl4_68 ),
inference(subsumption_resolution,[],[f3189,f127]) ).
fof(f3189,plain,
( greater(zero,zero)
| ~ spl4_63
| ~ spl4_68 ),
inference(forward_demodulation,[],[f1549,f1479]) ).
fof(f1899,plain,
( spl4_61
| spl4_69
| ~ spl4_29
| ~ spl4_32
| spl4_57
| spl4_58
| ~ spl4_60 ),
inference(avatar_split_clause,[],[f1565,f1445,f1437,f1433,f912,f846,f1896,f1462]) ).
fof(f1433,plain,
( spl4_57
<=> increases(cardinality_at_time(efficient_producers,sK2(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_57])]) ).
fof(f1565,plain,
( ! [X0] :
( greater(growth_rate(first_movers,sK2(sK0)),zero)
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_29
| ~ spl4_32
| spl4_57
| spl4_58
| ~ spl4_60 ),
inference(subsumption_resolution,[],[f1564,f98]) ).
fof(f1564,plain,
( ! [X0] :
( greater(growth_rate(first_movers,sK2(sK0)),zero)
| ~ subpopulation(first_movers,X0,sK2(sK0))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_29
| ~ spl4_32
| spl4_57
| spl4_58
| ~ spl4_60 ),
inference(subsumption_resolution,[],[f1563,f1173]) ).
fof(f1563,plain,
( ! [X0] :
( greater(growth_rate(first_movers,sK2(sK0)),zero)
| ~ greater(cardinality_at_time(first_movers,sK2(sK0)),zero)
| ~ subpopulation(first_movers,X0,sK2(sK0))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| spl4_57
| spl4_58
| ~ spl4_60 ),
inference(resolution,[],[f1562,f111]) ).
fof(f1562,plain,
( increases(cardinality_at_time(first_movers,sK2(sK0)))
| spl4_57
| spl4_58
| ~ spl4_60 ),
inference(subsumption_resolution,[],[f1561,f1434]) ).
fof(f1434,plain,
( ~ increases(cardinality_at_time(efficient_producers,sK2(sK0)))
| spl4_57 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f1561,plain,
( increases(cardinality_at_time(first_movers,sK2(sK0)))
| increases(cardinality_at_time(efficient_producers,sK2(sK0)))
| spl4_58
| ~ spl4_60 ),
inference(subsumption_resolution,[],[f1560,f1438]) ).
fof(f1560,plain,
( increases(cardinality_at_time(first_movers,sK2(sK0)))
| constant(cardinality_at_time(efficient_producers,sK2(sK0)))
| increases(cardinality_at_time(efficient_producers,sK2(sK0)))
| ~ spl4_60 ),
inference(subsumption_resolution,[],[f204,f1446]) ).
fof(f204,plain,
( ~ constant(number_of_organizations(sK0,sK2(sK0)))
| increases(cardinality_at_time(first_movers,sK2(sK0)))
| constant(cardinality_at_time(efficient_producers,sK2(sK0)))
| increases(cardinality_at_time(efficient_producers,sK2(sK0))) ),
inference(superposition,[],[f132,f198]) ).
fof(f1690,plain,
( ~ spl4_26
| spl4_41
| ~ spl4_42 ),
inference(avatar_contradiction_clause,[],[f1689]) ).
fof(f1689,plain,
( $false
| ~ spl4_26
| spl4_41
| ~ spl4_42 ),
inference(subsumption_resolution,[],[f1654,f786]) ).
fof(f1654,plain,
( ~ greater(sK3(sK0),sK2(sK0))
| spl4_41
| ~ spl4_42 ),
inference(backward_demodulation,[],[f1030,f1035]) ).
fof(f1030,plain,
( ~ greater(sK1(sK3(sK0)),sK2(sK0))
| spl4_41 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1600,plain,
( ~ spl4_25
| ~ spl4_29
| spl4_30
| ~ spl4_32 ),
inference(avatar_contradiction_clause,[],[f1599]) ).
fof(f1599,plain,
( $false
| ~ spl4_25
| ~ spl4_29
| spl4_30
| ~ spl4_32 ),
inference(subsumption_resolution,[],[f1256,f1592]) ).
fof(f1592,plain,
( ~ greater(growth_rate(efficient_producers,sK2(sK0)),growth_rate(first_movers,sK2(sK0)))
| spl4_30
| ~ spl4_32 ),
inference(forward_demodulation,[],[f851,f914]) ).
fof(f1256,plain,
( greater(growth_rate(efficient_producers,sK2(sK0)),growth_rate(first_movers,sK2(sK0)))
| ~ spl4_25
| ~ spl4_29
| ~ spl4_32 ),
inference(forward_demodulation,[],[f1255,f914]) ).
fof(f1255,plain,
( greater(growth_rate(efficient_producers,sK1(sK2(sK0))),growth_rate(first_movers,sK1(sK2(sK0))))
| ~ spl4_25
| ~ spl4_29
| ~ spl4_32 ),
inference(subsumption_resolution,[],[f1254,f847]) ).
fof(f1254,plain,
( ~ in_environment(sK0,sK2(sK0))
| greater(growth_rate(efficient_producers,sK1(sK2(sK0))),growth_rate(first_movers,sK1(sK2(sK0))))
| ~ spl4_25
| ~ spl4_32 ),
inference(subsumption_resolution,[],[f1253,f782]) ).
fof(f782,plain,
( greater(sK2(sK0),sK3(sK0))
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f780,plain,
( spl4_25
<=> greater(sK2(sK0),sK3(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f1253,plain,
( ~ greater(sK2(sK0),sK3(sK0))
| ~ in_environment(sK0,sK2(sK0))
| greater(growth_rate(efficient_producers,sK1(sK2(sK0))),growth_rate(first_movers,sK1(sK2(sK0))))
| ~ spl4_32 ),
inference(superposition,[],[f736,f914]) ).
fof(f1550,plain,
( spl4_61
| spl4_68
| ~ spl4_29
| ~ spl4_32
| ~ spl4_59 ),
inference(avatar_split_clause,[],[f1538,f1441,f912,f846,f1547,f1462]) ).
fof(f1538,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sK2(sK0)))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_29
| ~ spl4_32
| ~ spl4_59 ),
inference(subsumption_resolution,[],[f1537,f99]) ).
fof(f1537,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sK2(sK0)))
| ~ subpopulation(efficient_producers,X0,sK2(sK0))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_29
| ~ spl4_32
| ~ spl4_59 ),
inference(subsumption_resolution,[],[f1536,f1178]) ).
fof(f1178,plain,
( greater(cardinality_at_time(efficient_producers,sK2(sK0)),zero)
| ~ spl4_29
| ~ spl4_32 ),
inference(subsumption_resolution,[],[f1152,f847]) ).
fof(f1152,plain,
( greater(cardinality_at_time(efficient_producers,sK2(sK0)),zero)
| ~ in_environment(sK0,sK2(sK0))
| ~ spl4_32 ),
inference(superposition,[],[f165,f914]) ).
fof(f1536,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sK2(sK0)))
| ~ greater(cardinality_at_time(efficient_producers,sK2(sK0)),zero)
| ~ subpopulation(efficient_producers,X0,sK2(sK0))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_59 ),
inference(resolution,[],[f1443,f112]) ).
fof(f1443,plain,
( decreases(cardinality_at_time(efficient_producers,sK2(sK0)))
| ~ spl4_59 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f1534,plain,
( spl4_61
| ~ spl4_29
| ~ spl4_32
| spl4_55
| spl4_57
| spl4_59
| ~ spl4_60
| ~ spl4_63 ),
inference(avatar_split_clause,[],[f1533,f1477,f1445,f1441,f1433,f1420,f912,f846,f1462]) ).
fof(f1533,plain,
( ! [X0] :
( ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_29
| ~ spl4_32
| spl4_55
| spl4_57
| spl4_59
| ~ spl4_60
| ~ spl4_63 ),
inference(subsumption_resolution,[],[f1532,f98]) ).
fof(f1532,plain,
( ! [X0] :
( ~ subpopulation(first_movers,X0,sK2(sK0))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_29
| ~ spl4_32
| spl4_55
| spl4_57
| spl4_59
| ~ spl4_60
| ~ spl4_63 ),
inference(subsumption_resolution,[],[f1531,f1173]) ).
fof(f1531,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(first_movers,sK2(sK0)),zero)
| ~ subpopulation(first_movers,X0,sK2(sK0))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| spl4_55
| spl4_57
| spl4_59
| ~ spl4_60
| ~ spl4_63 ),
inference(subsumption_resolution,[],[f1530,f1485]) ).
fof(f1485,plain,
( zero != growth_rate(first_movers,sK2(sK0))
| spl4_55
| ~ spl4_63 ),
inference(backward_demodulation,[],[f1421,f1479]) ).
fof(f1421,plain,
( growth_rate(efficient_producers,sK2(sK0)) != growth_rate(first_movers,sK2(sK0))
| spl4_55 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1530,plain,
( ! [X0] :
( zero = growth_rate(first_movers,sK2(sK0))
| ~ greater(cardinality_at_time(first_movers,sK2(sK0)),zero)
| ~ subpopulation(first_movers,X0,sK2(sK0))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| spl4_57
| spl4_59
| ~ spl4_60 ),
inference(resolution,[],[f1529,f110]) ).
fof(f1529,plain,
( constant(cardinality_at_time(first_movers,sK2(sK0)))
| spl4_57
| spl4_59
| ~ spl4_60 ),
inference(subsumption_resolution,[],[f1528,f1434]) ).
fof(f1528,plain,
( constant(cardinality_at_time(first_movers,sK2(sK0)))
| increases(cardinality_at_time(efficient_producers,sK2(sK0)))
| spl4_59
| ~ spl4_60 ),
inference(subsumption_resolution,[],[f1527,f1442]) ).
fof(f1527,plain,
( decreases(cardinality_at_time(efficient_producers,sK2(sK0)))
| constant(cardinality_at_time(first_movers,sK2(sK0)))
| increases(cardinality_at_time(efficient_producers,sK2(sK0)))
| ~ spl4_60 ),
inference(subsumption_resolution,[],[f203,f1446]) ).
fof(f203,plain,
( ~ constant(number_of_organizations(sK0,sK2(sK0)))
| decreases(cardinality_at_time(efficient_producers,sK2(sK0)))
| constant(cardinality_at_time(first_movers,sK2(sK0)))
| increases(cardinality_at_time(efficient_producers,sK2(sK0))) ),
inference(superposition,[],[f131,f198]) ).
fof(f1480,plain,
( spl4_61
| spl4_63
| ~ spl4_29
| ~ spl4_32
| ~ spl4_58 ),
inference(avatar_split_clause,[],[f1474,f1437,f912,f846,f1477,f1462]) ).
fof(f1474,plain,
( ! [X0] :
( zero = growth_rate(efficient_producers,sK2(sK0))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_29
| ~ spl4_32
| ~ spl4_58 ),
inference(subsumption_resolution,[],[f1473,f99]) ).
fof(f1473,plain,
( ! [X0] :
( zero = growth_rate(efficient_producers,sK2(sK0))
| ~ subpopulation(efficient_producers,X0,sK2(sK0))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_29
| ~ spl4_32
| ~ spl4_58 ),
inference(subsumption_resolution,[],[f1472,f1178]) ).
fof(f1472,plain,
( ! [X0] :
( zero = growth_rate(efficient_producers,sK2(sK0))
| ~ greater(cardinality_at_time(efficient_producers,sK2(sK0)),zero)
| ~ subpopulation(efficient_producers,X0,sK2(sK0))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_58 ),
inference(resolution,[],[f1439,f110]) ).
fof(f1439,plain,
( constant(cardinality_at_time(efficient_producers,sK2(sK0)))
| ~ spl4_58 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1471,plain,
( ~ spl4_29
| ~ spl4_61 ),
inference(avatar_contradiction_clause,[],[f1470]) ).
fof(f1470,plain,
( $false
| ~ spl4_29
| ~ spl4_61 ),
inference(subsumption_resolution,[],[f1469,f847]) ).
fof(f1469,plain,
( ~ in_environment(sK0,sK2(sK0))
| ~ spl4_61 ),
inference(resolution,[],[f1463,f81]) ).
fof(f1463,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK2(sK0)) )
| ~ spl4_61 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f1468,plain,
( spl4_61
| spl4_62
| ~ spl4_29
| ~ spl4_32
| ~ spl4_57 ),
inference(avatar_split_clause,[],[f1460,f1433,f912,f846,f1465,f1462]) ).
fof(f1460,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sK2(sK0)),zero)
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_29
| ~ spl4_32
| ~ spl4_57 ),
inference(subsumption_resolution,[],[f1459,f99]) ).
fof(f1459,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sK2(sK0)),zero)
| ~ subpopulation(efficient_producers,X0,sK2(sK0))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_29
| ~ spl4_32
| ~ spl4_57 ),
inference(subsumption_resolution,[],[f1458,f1178]) ).
fof(f1458,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sK2(sK0)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK2(sK0)),zero)
| ~ subpopulation(efficient_producers,X0,sK2(sK0))
| ~ in_environment(X0,sK2(sK0))
| ~ environment(X0) )
| ~ spl4_57 ),
inference(resolution,[],[f1435,f111]) ).
fof(f1435,plain,
( increases(cardinality_at_time(efficient_producers,sK2(sK0)))
| ~ spl4_57 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f1457,plain,
( spl4_18
| ~ spl4_29
| ~ spl4_32
| spl4_60 ),
inference(avatar_contradiction_clause,[],[f1456]) ).
fof(f1456,plain,
( $false
| spl4_18
| ~ spl4_29
| ~ spl4_32
| spl4_60 ),
inference(subsumption_resolution,[],[f1455,f81]) ).
fof(f1455,plain,
( ~ environment(sK0)
| spl4_18
| ~ spl4_29
| ~ spl4_32
| spl4_60 ),
inference(subsumption_resolution,[],[f1454,f847]) ).
fof(f1454,plain,
( ~ in_environment(sK0,sK2(sK0))
| ~ environment(sK0)
| spl4_18
| ~ spl4_29
| ~ spl4_32
| spl4_60 ),
inference(subsumption_resolution,[],[f1453,f1168]) ).
fof(f1168,plain,
( greater(number_of_organizations(sK0,sK2(sK0)),zero)
| ~ spl4_29
| ~ spl4_32 ),
inference(subsumption_resolution,[],[f1144,f847]) ).
fof(f1144,plain,
( greater(number_of_organizations(sK0,sK2(sK0)),zero)
| ~ in_environment(sK0,sK2(sK0))
| ~ spl4_32 ),
inference(superposition,[],[f153,f914]) ).
fof(f1453,plain,
( ~ greater(number_of_organizations(sK0,sK2(sK0)),zero)
| ~ in_environment(sK0,sK2(sK0))
| ~ environment(sK0)
| spl4_18
| ~ spl4_29
| spl4_60 ),
inference(subsumption_resolution,[],[f1452,f600]) ).
fof(f600,plain,
( ~ greater(equilibrium(sK0),sK2(sK0))
| spl4_18 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f1452,plain,
( greater(equilibrium(sK0),sK2(sK0))
| ~ greater(number_of_organizations(sK0,sK2(sK0)),zero)
| ~ in_environment(sK0,sK2(sK0))
| ~ environment(sK0)
| ~ spl4_29
| spl4_60 ),
inference(resolution,[],[f1451,f91]) ).
fof(f1451,plain,
( ~ constant(resources(sK0,sK2(sK0)))
| ~ spl4_29
| spl4_60 ),
inference(subsumption_resolution,[],[f1450,f81]) ).
fof(f1450,plain,
( ~ constant(resources(sK0,sK2(sK0)))
| ~ environment(sK0)
| ~ spl4_29
| spl4_60 ),
inference(subsumption_resolution,[],[f1449,f847]) ).
fof(f1449,plain,
( ~ constant(resources(sK0,sK2(sK0)))
| ~ in_environment(sK0,sK2(sK0))
| ~ environment(sK0)
| spl4_60 ),
inference(resolution,[],[f1447,f93]) ).
fof(f1447,plain,
( ~ constant(number_of_organizations(sK0,sK2(sK0)))
| spl4_60 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f1448,plain,
( spl4_57
| spl4_58
| spl4_59
| ~ spl4_60 ),
inference(avatar_split_clause,[],[f202,f1445,f1441,f1437,f1433]) ).
fof(f202,plain,
( ~ constant(number_of_organizations(sK0,sK2(sK0)))
| decreases(cardinality_at_time(efficient_producers,sK2(sK0)))
| constant(cardinality_at_time(efficient_producers,sK2(sK0)))
| increases(cardinality_at_time(efficient_producers,sK2(sK0))) ),
inference(superposition,[],[f130,f198]) ).
fof(f1385,plain,
( spl4_53
| spl4_54
| ~ spl4_37
| spl4_42 ),
inference(avatar_split_clause,[],[f1365,f1033,f971,f1382,f1378]) ).
fof(f1365,plain,
( greater(sK3(sK0),sK1(sK3(sK0)))
| greater(sK1(sK3(sK0)),sK3(sK0))
| ~ spl4_37
| spl4_42 ),
inference(subsumption_resolution,[],[f1356,f1034]) ).
fof(f1356,plain,
( greater(sK3(sK0),sK1(sK3(sK0)))
| sK3(sK0) = sK1(sK3(sK0))
| greater(sK1(sK3(sK0)),sK3(sK0))
| ~ spl4_37 ),
inference(resolution,[],[f387,f972]) ).
fof(f387,plain,
! [X2] :
( ~ in_environment(sK0,X2)
| greater(sK3(sK0),sK1(X2))
| sK3(sK0) = sK1(X2)
| greater(sK1(X2),sK3(sK0)) ),
inference(subsumption_resolution,[],[f386,f81]) ).
fof(f386,plain,
! [X2] :
( greater(sK1(X2),sK3(sK0))
| greater(sK3(sK0),sK1(X2))
| sK3(sK0) = sK1(X2)
| ~ in_environment(sK0,X2)
| ~ environment(sK0) ),
inference(subsumption_resolution,[],[f379,f82]) ).
fof(f379,plain,
! [X2] :
( greater(sK1(X2),sK3(sK0))
| greater(sK3(sK0),sK1(X2))
| sK3(sK0) = sK1(X2)
| ~ in_environment(sK0,X2)
| ~ stable(sK0)
| ~ environment(sK0) ),
inference(resolution,[],[f376,f88]) ).
fof(f376,plain,
! [X0,X1] :
( ~ in_environment(sK0,X0)
| greater(sK1(X1),X0)
| greater(X0,sK1(X1))
| sK1(X1) = X0
| ~ in_environment(sK0,X1) ),
inference(resolution,[],[f375,f83]) ).
fof(f375,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ in_environment(sK0,X0)
| greater(X1,X0)
| greater(X0,X1)
| X0 = X1 ),
inference(resolution,[],[f180,f81]) ).
fof(f180,plain,
! [X6,X4,X5] :
( ~ environment(X6)
| greater(X5,X4)
| ~ in_environment(X6,X5)
| greater(X4,X5)
| ~ subpopulations(first_movers,efficient_producers,X6,X4)
| X4 = X5 ),
inference(resolution,[],[f116,f101]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ in_environment(X0,X1)
| X1 = X2
| greater(X2,X1)
| ~ in_environment(X0,X2)
| greater(X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( greater(X1,X2)
| X1 = X2
| greater(X2,X1)
| ~ in_environment(X0,X2)
| ~ in_environment(X0,X1) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( greater(X1,X2)
| X1 = X2
| greater(X2,X1)
| ~ in_environment(X0,X2)
| ~ in_environment(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( in_environment(X0,X2)
& in_environment(X0,X1) )
=> ( greater(X1,X2)
| X1 = X2
| greater(X2,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X8,X9] :
( ( in_environment(X0,X9)
& in_environment(X0,X8) )
=> ( greater(X8,X9)
| X8 = X9
| greater(X9,X8) ) ),
file('/export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793',mp_times_in_environment) ).
fof(f1036,plain,
( spl4_41
| spl4_42
| ~ spl4_26
| ~ spl4_37 ),
inference(avatar_split_clause,[],[f1027,f971,f784,f1033,f1029]) ).
fof(f1027,plain,
( sK3(sK0) = sK1(sK3(sK0))
| greater(sK1(sK3(sK0)),sK2(sK0))
| ~ spl4_26
| ~ spl4_37 ),
inference(subsumption_resolution,[],[f946,f972]) ).
fof(f946,plain,
( sK3(sK0) = sK1(sK3(sK0))
| greater(sK1(sK3(sK0)),sK2(sK0))
| ~ in_environment(sK0,sK3(sK0))
| ~ spl4_26 ),
inference(resolution,[],[f929,f84]) ).
fof(f929,plain,
( ! [X0] :
( ~ greater_or_equal(X0,sK3(sK0))
| sK3(sK0) = X0
| greater(X0,sK2(sK0)) )
| ~ spl4_26 ),
inference(resolution,[],[f924,f105]) ).
fof(f924,plain,
( ! [X0] :
( ~ greater(X0,sK3(sK0))
| greater(X0,sK2(sK0)) )
| ~ spl4_26 ),
inference(resolution,[],[f786,f117]) ).
fof(f983,plain,
spl4_37,
inference(avatar_contradiction_clause,[],[f982]) ).
fof(f982,plain,
( $false
| spl4_37 ),
inference(subsumption_resolution,[],[f981,f81]) ).
fof(f981,plain,
( ~ environment(sK0)
| spl4_37 ),
inference(subsumption_resolution,[],[f979,f82]) ).
fof(f979,plain,
( ~ stable(sK0)
| ~ environment(sK0)
| spl4_37 ),
inference(resolution,[],[f973,f88]) ).
fof(f973,plain,
( ~ in_environment(sK0,sK3(sK0))
| spl4_37 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f915,plain,
( spl4_31
| spl4_32
| ~ spl4_25
| ~ spl4_29 ),
inference(avatar_split_clause,[],[f906,f846,f780,f912,f908]) ).
fof(f906,plain,
( sK2(sK0) = sK1(sK2(sK0))
| greater(sK1(sK2(sK0)),sK3(sK0))
| ~ spl4_25
| ~ spl4_29 ),
inference(subsumption_resolution,[],[f905,f847]) ).
fof(f905,plain,
( sK2(sK0) = sK1(sK2(sK0))
| greater(sK1(sK2(sK0)),sK3(sK0))
| ~ in_environment(sK0,sK2(sK0))
| ~ spl4_25 ),
inference(resolution,[],[f897,f84]) ).
fof(f897,plain,
( ! [X0] :
( ~ greater_or_equal(X0,sK2(sK0))
| sK2(sK0) = X0
| greater(X0,sK3(sK0)) )
| ~ spl4_25 ),
inference(resolution,[],[f869,f105]) ).
fof(f869,plain,
( ! [X0] :
( ~ greater(X0,sK2(sK0))
| greater(X0,sK3(sK0)) )
| ~ spl4_25 ),
inference(resolution,[],[f782,f117]) ).
fof(f858,plain,
spl4_29,
inference(avatar_contradiction_clause,[],[f857]) ).
fof(f857,plain,
( $false
| spl4_29 ),
inference(subsumption_resolution,[],[f856,f81]) ).
fof(f856,plain,
( ~ environment(sK0)
| spl4_29 ),
inference(subsumption_resolution,[],[f854,f82]) ).
fof(f854,plain,
( ~ stable(sK0)
| ~ environment(sK0)
| spl4_29 ),
inference(resolution,[],[f848,f86]) ).
fof(f848,plain,
( ~ in_environment(sK0,sK2(sK0))
| spl4_29 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f853,plain,
( ~ spl4_29
| spl4_30
| ~ spl4_24 ),
inference(avatar_split_clause,[],[f814,f776,f850,f846]) ).
fof(f776,plain,
( spl4_24
<=> sK2(sK0) = sK3(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f814,plain,
( greater(growth_rate(efficient_producers,sK1(sK2(sK0))),growth_rate(first_movers,sK1(sK2(sK0))))
| ~ in_environment(sK0,sK2(sK0))
| ~ spl4_24 ),
inference(duplicate_literal_removal,[],[f812]) ).
fof(f812,plain,
( greater(growth_rate(efficient_producers,sK1(sK2(sK0))),growth_rate(first_movers,sK1(sK2(sK0))))
| ~ in_environment(sK0,sK2(sK0))
| ~ in_environment(sK0,sK2(sK0))
| ~ spl4_24 ),
inference(resolution,[],[f794,f84]) ).
fof(f794,plain,
( ! [X0] :
( ~ greater_or_equal(sK1(X0),sK2(sK0))
| greater(growth_rate(efficient_producers,sK1(X0)),growth_rate(first_movers,sK1(X0)))
| ~ in_environment(sK0,X0) )
| ~ spl4_24 ),
inference(backward_demodulation,[],[f696,f778]) ).
fof(f778,plain,
( sK2(sK0) = sK3(sK0)
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f787,plain,
( spl4_24
| spl4_25
| spl4_26 ),
inference(avatar_split_clause,[],[f578,f784,f780,f776]) ).
fof(f578,plain,
( greater(sK3(sK0),sK2(sK0))
| greater(sK2(sK0),sK3(sK0))
| sK2(sK0) = sK3(sK0) ),
inference(subsumption_resolution,[],[f577,f81]) ).
fof(f577,plain,
( greater(sK3(sK0),sK2(sK0))
| greater(sK2(sK0),sK3(sK0))
| sK2(sK0) = sK3(sK0)
| ~ environment(sK0) ),
inference(subsumption_resolution,[],[f573,f82]) ).
fof(f573,plain,
( greater(sK3(sK0),sK2(sK0))
| greater(sK2(sK0),sK3(sK0))
| sK2(sK0) = sK3(sK0)
| ~ stable(sK0)
| ~ environment(sK0) ),
inference(resolution,[],[f345,f88]) ).
fof(f345,plain,
! [X0] :
( ~ in_environment(sK0,X0)
| greater(X0,sK2(sK0))
| greater(sK2(sK0),X0)
| sK2(sK0) = X0 ),
inference(subsumption_resolution,[],[f344,f81]) ).
fof(f344,plain,
! [X0] :
( greater(X0,sK2(sK0))
| ~ in_environment(sK0,X0)
| greater(sK2(sK0),X0)
| sK2(sK0) = X0
| ~ environment(sK0) ),
inference(resolution,[],[f178,f82]) ).
fof(f178,plain,
! [X0,X1] :
( ~ stable(X0)
| greater(X1,sK2(X0))
| ~ in_environment(X0,X1)
| greater(sK2(X0),X1)
| sK2(X0) = X1
| ~ environment(X0) ),
inference(resolution,[],[f116,f86]) ).
fof(f704,plain,
( ~ spl4_2
| spl4_23 ),
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f703,plain,
( $false
| ~ spl4_2
| spl4_23 ),
inference(subsumption_resolution,[],[f688,f238]) ).
fof(f238,plain,
( in_environment(sK0,equilibrium(sK0))
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f237,f81]) ).
fof(f237,plain,
( in_environment(sK0,equilibrium(sK0))
| ~ environment(sK0)
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f236,f82]) ).
fof(f236,plain,
( in_environment(sK0,equilibrium(sK0))
| ~ stable(sK0)
| ~ environment(sK0)
| ~ spl4_2 ),
inference(superposition,[],[f86,f230]) ).
fof(f688,plain,
( ~ in_environment(sK0,equilibrium(sK0))
| spl4_23 ),
inference(resolution,[],[f687,f83]) ).
fof(f687,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1(equilibrium(sK0)))
| spl4_23 ),
inference(subsumption_resolution,[],[f686,f81]) ).
fof(f686,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1(equilibrium(sK0)))
| ~ environment(sK0)
| spl4_23 ),
inference(resolution,[],[f684,f101]) ).
fof(f684,plain,
( ~ in_environment(sK0,sK1(equilibrium(sK0)))
| spl4_23 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f231,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f223,f228,f225]) ).
fof(f223,plain,
! [X0] :
( equilibrium(sK0) = sK2(sK0)
| greater(X0,equilibrium(sK0))
| ~ greater(X0,sK2(sK0)) ),
inference(subsumption_resolution,[],[f222,f81]) ).
fof(f222,plain,
! [X0] :
( equilibrium(sK0) = sK2(sK0)
| greater(X0,equilibrium(sK0))
| ~ greater(X0,sK2(sK0))
| ~ environment(sK0) ),
inference(resolution,[],[f173,f82]) ).
fof(f173,plain,
! [X8,X7] :
( ~ stable(X8)
| sK2(X8) = equilibrium(X8)
| greater(X7,equilibrium(X8))
| ~ greater(X7,sK2(X8))
| ~ environment(X8) ),
inference(resolution,[],[f140,f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : MGT035+2 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 06:56:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793
% 0.14/0.36 % (11901)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (11902)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)
% 0.18/0.41 % (11903)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)
% 0.18/0.41 % (11906)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)
% 0.18/0.41 % (11908)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)
% 0.18/0.41 % (11905)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)
% 0.18/0.41 % (11907)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.18/0.41 % (11904)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)
% 4.79/1.07 % (11907)First to succeed.
% 4.79/1.09 % (11907)Refutation found. Thanks to Tanya!
% 4.79/1.09 % SZS status Theorem for Vampire---4
% 4.79/1.09 % SZS output start Proof for Vampire---4
% See solution above
% 5.19/1.09 % (11907)------------------------------
% 5.19/1.09 % (11907)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 5.19/1.09 % (11907)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 5.19/1.09 % (11907)Termination reason: Refutation
% 5.19/1.09
% 5.19/1.09 % (11907)Memory used [KB]: 11513
% 5.19/1.09 % (11907)Time elapsed: 0.672 s
% 5.19/1.09 % (11907)------------------------------
% 5.19/1.09 % (11907)------------------------------
% 5.19/1.09 % (11901)Success in time 0.734 s
% 5.19/1.09 11904 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.kg2kvlxcZs/Vampire---4.8_11793
% 5.19/1.09 % (11904)------------------------------
% 5.19/1.09 % (11904)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 5.19/1.09 % (11904)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 5.19/1.09 % (11904)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 5.19/1.09
% 5.19/1.09 % (11904)Memory used [KB]: 5500
% 5.19/1.09 % (11904)Time elapsed: 0.679 s
% 5.19/1.09 % (11904)------------------------------
% 5.19/1.09 % (11904)------------------------------
% 5.19/1.09 % Vampire---4.8 exiting
%------------------------------------------------------------------------------