TSTP Solution File: MGT035+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : MGT035+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %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 : 0s
% DateTime : Sun Jul 17 21:57:47 EDT 2022
% Result : Theorem 16.13s 16.51s
% Output : Refutation 16.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT035+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jun 9 11:29:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 16.13/16.51 *** allocated 10000 integers for termspace/termends
% 16.13/16.51 *** allocated 10000 integers for clauses
% 16.13/16.51 *** allocated 10000 integers for justifications
% 16.13/16.51 Bliksem 1.12
% 16.13/16.51
% 16.13/16.51
% 16.13/16.51 Automatic Strategy Selection
% 16.13/16.51
% 16.13/16.51
% 16.13/16.51 Clauses:
% 16.13/16.51
% 16.13/16.51 { ! greater( X, Z ), ! greater( Z, Y ), greater( X, Y ) }.
% 16.13/16.51 { ! in_environment( Z, X ), ! in_environment( Z, Y ), greater( Y, X ), Y =
% 16.13/16.51 X, greater( X, Y ) }.
% 16.13/16.51 { ! greater_or_equal( X, Y ), greater( X, Y ), X = Y }.
% 16.13/16.51 { ! greater( X, Y ), greater_or_equal( X, Y ) }.
% 16.13/16.51 { ! X = Y, greater_or_equal( X, Y ) }.
% 16.13/16.51 { ! environment( T ), ! subpopulations( X, Y, T, Z ), ! greater_or_equal(
% 16.13/16.51 growth_rate( Y, Z ), zero ), ! greater( zero, growth_rate( X, Z ) ),
% 16.13/16.51 outcompetes( Y, X, Z ) }.
% 16.13/16.51 { ! environment( T ), ! subpopulations( X, Y, T, Z ), ! outcompetes( Y, X,
% 16.13/16.51 Z ), greater_or_equal( growth_rate( Y, Z ), zero ) }.
% 16.13/16.51 { ! environment( T ), ! subpopulations( X, Y, T, Z ), ! outcompetes( Y, X,
% 16.13/16.51 Z ), greater( zero, growth_rate( X, Z ) ) }.
% 16.13/16.51 { alpha2( X ), greater( growth_rate( efficient_producers, X ), zero ) }.
% 16.13/16.51 { alpha2( X ), greater( zero, growth_rate( first_movers, X ) ) }.
% 16.13/16.51 { ! alpha2( X ), alpha1( X ), greater( growth_rate( first_movers, X ), zero
% 16.13/16.51 ) }.
% 16.13/16.51 { ! alpha2( X ), alpha1( X ), greater( zero, growth_rate(
% 16.13/16.51 efficient_producers, X ) ) }.
% 16.13/16.51 { ! alpha1( X ), alpha2( X ) }.
% 16.13/16.51 { ! greater( growth_rate( first_movers, X ), zero ), ! greater( zero,
% 16.13/16.51 growth_rate( efficient_producers, X ) ), alpha2( X ) }.
% 16.13/16.51 { ! alpha1( X ), alpha3( X ), growth_rate( first_movers, X ) = zero }.
% 16.13/16.51 { ! alpha1( X ), alpha3( X ), growth_rate( efficient_producers, X ) = zero
% 16.13/16.51 }.
% 16.13/16.51 { ! alpha3( X ), alpha1( X ) }.
% 16.13/16.51 { ! growth_rate( first_movers, X ) = zero, ! growth_rate(
% 16.13/16.51 efficient_producers, X ) = zero, alpha1( X ) }.
% 16.13/16.51 { ! alpha3( X ), ! environment( Y ), ! subpopulations( first_movers,
% 16.13/16.51 efficient_producers, Y, X ), ! greater_or_equal( X, equilibrium( Y ) ) }
% 16.13/16.51 .
% 16.13/16.51 { environment( skol1( Y ) ), alpha3( X ) }.
% 16.13/16.51 { subpopulations( first_movers, efficient_producers, skol1( X ), X ),
% 16.13/16.51 alpha3( X ) }.
% 16.13/16.51 { greater_or_equal( X, equilibrium( skol1( X ) ) ), alpha3( X ) }.
% 16.13/16.51 { ! environment( X ), ! stable( X ), in_environment( X, skol2( X ) ) }.
% 16.13/16.51 { ! environment( X ), ! stable( X ), ! subpopulations( first_movers,
% 16.13/16.51 efficient_producers, X, Y ), ! greater_or_equal( Y, skol2( X ) ), greater
% 16.13/16.51 ( growth_rate( efficient_producers, Y ), growth_rate( first_movers, Y ) )
% 16.13/16.51 }.
% 16.13/16.51 { ! environment( X ), ! stable( X ), in_environment( X, skol3( X ) ) }.
% 16.13/16.51 { ! environment( X ), ! stable( X ), greater_or_equal( skol3( X ),
% 16.13/16.51 equilibrium( X ) ) }.
% 16.13/16.51 { environment( skol4 ) }.
% 16.13/16.51 { stable( skol4 ) }.
% 16.13/16.51 { ! in_environment( skol4, X ), subpopulations( first_movers,
% 16.13/16.51 efficient_producers, skol4, skol5( Y ) ) }.
% 16.13/16.51 { ! in_environment( skol4, X ), ! outcompetes( efficient_producers,
% 16.13/16.51 first_movers, skol5( Y ) ) }.
% 16.13/16.51 { ! in_environment( skol4, X ), greater_or_equal( skol5( X ), X ) }.
% 16.13/16.51
% 16.13/16.51 percentage equality = 0.081395, percentage horn = 0.645161
% 16.13/16.51 This is a problem with some equality
% 16.13/16.51
% 16.13/16.51
% 16.13/16.51
% 16.13/16.51 Options Used:
% 16.13/16.51
% 16.13/16.51 useres = 1
% 16.13/16.51 useparamod = 1
% 16.13/16.51 useeqrefl = 1
% 16.13/16.51 useeqfact = 1
% 16.13/16.51 usefactor = 1
% 16.13/16.51 usesimpsplitting = 0
% 16.13/16.51 usesimpdemod = 5
% 16.13/16.51 usesimpres = 3
% 16.13/16.51
% 16.13/16.51 resimpinuse = 1000
% 16.13/16.51 resimpclauses = 20000
% 16.13/16.51 substype = eqrewr
% 16.13/16.51 backwardsubs = 1
% 16.13/16.51 selectoldest = 5
% 16.13/16.51
% 16.13/16.51 litorderings [0] = split
% 16.13/16.51 litorderings [1] = extend the termordering, first sorting on arguments
% 16.13/16.51
% 16.13/16.51 termordering = kbo
% 16.13/16.51
% 16.13/16.51 litapriori = 0
% 16.13/16.51 termapriori = 1
% 16.13/16.51 litaposteriori = 0
% 16.13/16.51 termaposteriori = 0
% 16.13/16.51 demodaposteriori = 0
% 16.13/16.51 ordereqreflfact = 0
% 16.13/16.51
% 16.13/16.51 litselect = negord
% 16.13/16.51
% 16.13/16.51 maxweight = 15
% 16.13/16.51 maxdepth = 30000
% 16.13/16.51 maxlength = 115
% 16.13/16.51 maxnrvars = 195
% 16.13/16.51 excuselevel = 1
% 16.13/16.51 increasemaxweight = 1
% 16.13/16.51
% 16.13/16.51 maxselected = 10000000
% 16.13/16.51 maxnrclauses = 10000000
% 16.13/16.51
% 16.13/16.51 showgenerated = 0
% 16.13/16.51 showkept = 0
% 16.13/16.51 showselected = 0
% 16.13/16.51 showdeleted = 0
% 16.13/16.51 showresimp = 1
% 16.13/16.51 showstatus = 2000
% 16.13/16.51
% 16.13/16.51 prologoutput = 0
% 16.13/16.51 nrgoals = 5000000
% 16.13/16.51 totalproof = 1
% 16.13/16.51
% 16.13/16.51 Symbols occurring in the translation:
% 16.13/16.51
% 16.13/16.51 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 16.13/16.51 . [1, 2] (w:1, o:35, a:1, s:1, b:0),
% 16.13/16.51 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 16.13/16.51 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 16.13/16.51 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 16.13/16.51 greater [38, 2] (w:1, o:59, a:1, s:1, b:0),
% 16.13/16.51 in_environment [42, 2] (w:1, o:60, a:1, s:1, b:0),
% 16.13/16.51 greater_or_equal [43, 2] (w:1, o:61, a:1, s:1, b:0),
% 16.13/16.51 environment [47, 1] (w:1, o:25, a:1, s:1, b:0),
% 16.13/16.51 subpopulations [48, 4] (w:1, o:64, a:1, s:1, b:0),
% 16.13/16.51 growth_rate [49, 2] (w:1, o:62, a:1, s:1, b:0),
% 16.13/16.51 zero [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 16.13/16.51 outcompetes [51, 3] (w:1, o:63, a:1, s:1, b:0),
% 16.13/16.51 first_movers [52, 0] (w:1, o:17, a:1, s:1, b:0),
% 16.13/16.51 efficient_producers [53, 0] (w:1, o:16, a:1, s:1, b:0),
% 16.13/16.51 equilibrium [54, 1] (w:1, o:26, a:1, s:1, b:0),
% 16.13/16.51 stable [55, 1] (w:1, o:27, a:1, s:1, b:0),
% 16.13/16.51 alpha1 [57, 1] (w:1, o:28, a:1, s:1, b:1),
% 16.13/16.51 alpha2 [58, 1] (w:1, o:29, a:1, s:1, b:1),
% 16.13/16.51 alpha3 [59, 1] (w:1, o:30, a:1, s:1, b:1),
% 16.13/16.51 skol1 [60, 1] (w:1, o:31, a:1, s:1, b:1),
% 16.13/16.51 skol2 [61, 1] (w:1, o:32, a:1, s:1, b:1),
% 16.13/16.51 skol3 [62, 1] (w:1, o:33, a:1, s:1, b:1),
% 16.13/16.51 skol4 [63, 0] (w:1, o:19, a:1, s:1, b:1),
% 16.13/16.51 skol5 [64, 1] (w:1, o:34, a:1, s:1, b:1).
% 16.13/16.51
% 16.13/16.51
% 16.13/16.51 Starting Search:
% 16.13/16.51
% 16.13/16.51 *** allocated 15000 integers for clauses
% 16.13/16.51 *** allocated 22500 integers for clauses
% 16.13/16.51 *** allocated 33750 integers for clauses
% 16.13/16.51 *** allocated 15000 integers for termspace/termends
% 16.13/16.51 *** allocated 50625 integers for clauses
% 16.13/16.51 *** allocated 22500 integers for termspace/termends
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51 *** allocated 75937 integers for clauses
% 16.13/16.51 *** allocated 33750 integers for termspace/termends
% 16.13/16.51 *** allocated 113905 integers for clauses
% 16.13/16.51
% 16.13/16.51 Intermediate Status:
% 16.13/16.51 Generated: 21661
% 16.13/16.51 Kept: 2000
% 16.13/16.51 Inuse: 233
% 16.13/16.51 Deleted: 30
% 16.13/16.51 Deletedinuse: 2
% 16.13/16.51
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51 *** allocated 50625 integers for termspace/termends
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51 *** allocated 170857 integers for clauses
% 16.13/16.51 *** allocated 75937 integers for termspace/termends
% 16.13/16.51
% 16.13/16.51 Intermediate Status:
% 16.13/16.51 Generated: 130850
% 16.13/16.51 Kept: 4000
% 16.13/16.51 Inuse: 562
% 16.13/16.51 Deleted: 73
% 16.13/16.51 Deletedinuse: 15
% 16.13/16.51
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51 *** allocated 256285 integers for clauses
% 16.13/16.51 *** allocated 113905 integers for termspace/termends
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51
% 16.13/16.51 Intermediate Status:
% 16.13/16.51 Generated: 635435
% 16.13/16.51 Kept: 6000
% 16.13/16.51 Inuse: 1349
% 16.13/16.51 Deleted: 158
% 16.13/16.51 Deletedinuse: 42
% 16.13/16.51
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51 *** allocated 384427 integers for clauses
% 16.13/16.51 *** allocated 170857 integers for termspace/termends
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51
% 16.13/16.51 Intermediate Status:
% 16.13/16.51 Generated: 959241
% 16.13/16.51 Kept: 8059
% 16.13/16.51 Inuse: 1711
% 16.13/16.51 Deleted: 296
% 16.13/16.51 Deletedinuse: 90
% 16.13/16.51
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51
% 16.13/16.51 Intermediate Status:
% 16.13/16.51 Generated: 984476
% 16.13/16.51 Kept: 10080
% 16.13/16.51 Inuse: 1741
% 16.13/16.51 Deleted: 353
% 16.13/16.51 Deletedinuse: 147
% 16.13/16.51
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51 *** allocated 576640 integers for clauses
% 16.13/16.51 *** allocated 256285 integers for termspace/termends
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51
% 16.13/16.51 Intermediate Status:
% 16.13/16.51 Generated: 1033843
% 16.13/16.51 Kept: 12094
% 16.13/16.51 Inuse: 1820
% 16.13/16.51 Deleted: 419
% 16.13/16.51 Deletedinuse: 149
% 16.13/16.51
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51
% 16.13/16.51 Intermediate Status:
% 16.13/16.51 Generated: 1321798
% 16.13/16.51 Kept: 14102
% 16.13/16.51 Inuse: 2008
% 16.13/16.51 Deleted: 688
% 16.13/16.51 Deletedinuse: 287
% 16.13/16.51
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51 *** allocated 864960 integers for clauses
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51 *** allocated 384427 integers for termspace/termends
% 16.13/16.51
% 16.13/16.51 Intermediate Status:
% 16.13/16.51 Generated: 1351171
% 16.13/16.51 Kept: 16144
% 16.13/16.51 Inuse: 2048
% 16.13/16.51 Deleted: 794
% 16.13/16.51 Deletedinuse: 390
% 16.13/16.51
% 16.13/16.51 Resimplifying inuse:
% 16.13/16.51 Done
% 16.13/16.51
% 16.13/16.51
% 16.13/16.51 Bliksems!, er is een bewijs:
% 16.13/16.51 % SZS status Theorem
% 16.13/16.51 % SZS output start Refutation
% 16.13/16.51
% 16.13/16.51 (0) {G0,W9,D2,L3,V3,M3} I { ! greater( X, Z ), ! greater( Z, Y ), greater(
% 16.13/16.51 X, Y ) }.
% 16.13/16.51 (1) {G0,W15,D2,L5,V3,M5} I { ! in_environment( Z, X ), ! in_environment( Z
% 16.13/16.51 , Y ), greater( Y, X ), Y = X, greater( X, Y ) }.
% 16.13/16.51 (2) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ), greater( X, Y ), X
% 16.13/16.51 = Y }.
% 16.13/16.51 (3) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), greater_or_equal( X, Y ) }.
% 16.13/16.51 (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, greater_or_equal( X, Y ) }.
% 16.13/16.51 (5) {G0,W21,D3,L5,V4,M5} I { ! environment( T ), ! subpopulations( X, Y, T
% 16.13/16.51 , Z ), ! greater_or_equal( growth_rate( Y, Z ), zero ), ! greater( zero,
% 16.13/16.51 growth_rate( X, Z ) ), outcompetes( Y, X, Z ) }.
% 16.13/16.51 (8) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( growth_rate(
% 16.13/16.51 efficient_producers, X ), zero ) }.
% 16.13/16.51 (9) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( zero, growth_rate(
% 16.13/16.51 first_movers, X ) ) }.
% 16.13/16.51 (10) {G0,W9,D3,L3,V1,M3} I { ! alpha2( X ), alpha1( X ), greater(
% 16.13/16.51 growth_rate( first_movers, X ), zero ) }.
% 16.13/16.51 (11) {G0,W9,D3,L3,V1,M3} I { ! alpha2( X ), alpha1( X ), greater( zero,
% 16.13/16.51 growth_rate( efficient_producers, X ) ) }.
% 16.13/16.51 (14) {G0,W9,D3,L3,V1,M3} I { ! alpha1( X ), alpha3( X ), growth_rate(
% 16.13/16.51 first_movers, X ) ==> zero }.
% 16.13/16.51 (15) {G0,W9,D3,L3,V1,M3} I { ! alpha1( X ), alpha3( X ), growth_rate(
% 16.13/16.51 efficient_producers, X ) ==> zero }.
% 16.13/16.51 (16) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha1( X ) }.
% 16.13/16.51 (18) {G0,W13,D3,L4,V2,M4} I { ! alpha3( X ), ! environment( Y ), !
% 16.13/16.51 subpopulations( first_movers, efficient_producers, Y, X ), !
% 16.13/16.51 greater_or_equal( X, equilibrium( Y ) ) }.
% 16.13/16.51 (22) {G0,W8,D3,L3,V1,M3} I { ! environment( X ), ! stable( X ),
% 16.13/16.51 in_environment( X, skol2( X ) ) }.
% 16.13/16.51 (23) {G0,W20,D3,L5,V2,M5} I { ! environment( X ), ! stable( X ), !
% 16.13/16.51 subpopulations( first_movers, efficient_producers, X, Y ), !
% 16.13/16.51 greater_or_equal( Y, skol2( X ) ), greater( growth_rate(
% 16.13/16.51 efficient_producers, Y ), growth_rate( first_movers, Y ) ) }.
% 16.13/16.51 (24) {G0,W8,D3,L3,V1,M3} I { ! environment( X ), ! stable( X ),
% 16.13/16.51 in_environment( X, skol3( X ) ) }.
% 16.13/16.51 (25) {G0,W9,D3,L3,V1,M3} I { ! environment( X ), ! stable( X ),
% 16.13/16.51 greater_or_equal( skol3( X ), equilibrium( X ) ) }.
% 16.13/16.51 (26) {G0,W2,D2,L1,V0,M1} I { environment( skol4 ) }.
% 16.13/16.51 (27) {G0,W2,D2,L1,V0,M1} I { stable( skol4 ) }.
% 16.13/16.51 (28) {G0,W9,D3,L2,V2,M2} I { ! in_environment( skol4, X ), subpopulations(
% 16.13/16.51 first_movers, efficient_producers, skol4, skol5( Y ) ) }.
% 16.13/16.51 (29) {G0,W8,D3,L2,V2,M2} I { ! in_environment( skol4, X ), ! outcompetes(
% 16.13/16.51 efficient_producers, first_movers, skol5( Y ) ) }.
% 16.13/16.51 (30) {G0,W7,D3,L2,V1,M2} I { ! in_environment( skol4, X ), greater_or_equal
% 16.13/16.51 ( skol5( X ), X ) }.
% 16.13/16.51 (31) {G1,W3,D2,L1,V1,M1} Q(4) { greater_or_equal( X, X ) }.
% 16.13/16.51 (41) {G1,W12,D2,L4,V3,M4} R(4,1);r(3) { greater_or_equal( X, Y ), !
% 16.13/16.51 in_environment( Z, Y ), ! in_environment( Z, X ), greater( Y, X ) }.
% 16.13/16.51 (42) {G1,W9,D2,L3,V3,M3} R(3,0) { greater_or_equal( X, Y ), ! greater( X, Z
% 16.13/16.51 ), ! greater( Z, Y ) }.
% 16.13/16.51 (50) {G1,W11,D3,L3,V1,M3} R(2,30) { greater( skol5( X ), X ), skol5( X )
% 16.13/16.51 ==> X, ! in_environment( skol4, X ) }.
% 16.13/16.51 (51) {G1,W12,D2,L4,V3,M4} R(2,0) { ! greater_or_equal( X, Y ), X = Y, !
% 16.13/16.51 greater( Y, Z ), greater( X, Z ) }.
% 16.13/16.51 (79) {G1,W7,D3,L2,V1,M2} R(8,3) { alpha2( X ), greater_or_equal(
% 16.13/16.51 growth_rate( efficient_producers, X ), zero ) }.
% 16.13/16.51 (106) {G1,W18,D3,L5,V3,M5} R(5,9) { ! environment( X ), ! subpopulations(
% 16.13/16.51 first_movers, Y, X, Z ), ! greater_or_equal( growth_rate( Y, Z ), zero )
% 16.13/16.51 , outcompetes( Y, first_movers, Z ), alpha2( Z ) }.
% 16.13/16.51 (112) {G1,W19,D3,L4,V3,M4} R(5,26) { ! subpopulations( X, Y, skol4, Z ), !
% 16.13/16.51 greater_or_equal( growth_rate( Y, Z ), zero ), ! greater( zero,
% 16.13/16.51 growth_rate( X, Z ) ), outcompetes( Y, X, Z ) }.
% 16.13/16.51 (223) {G1,W12,D3,L4,V2,M4} R(10,0) { ! alpha2( X ), alpha1( X ), ! greater
% 16.13/16.51 ( Y, growth_rate( first_movers, X ) ), greater( Y, zero ) }.
% 16.13/16.51 (225) {G1,W17,D3,L5,V2,M5} P(2,10) { ! alpha2( X ), alpha1( X ), greater( Y
% 16.13/16.51 , zero ), ! greater_or_equal( Y, growth_rate( first_movers, X ) ),
% 16.13/16.51 greater( Y, growth_rate( first_movers, X ) ) }.
% 16.13/16.51 (258) {G1,W4,D3,L1,V0,M1} R(24,26);r(27) { in_environment( skol4, skol3(
% 16.13/16.51 skol4 ) ) }.
% 16.13/16.51 (262) {G2,W5,D3,L1,V1,M1} R(258,29) { ! outcompetes( efficient_producers,
% 16.13/16.51 first_movers, skol5( X ) ) }.
% 16.13/16.51 (263) {G2,W6,D4,L1,V0,M1} R(258,30) { greater_or_equal( skol5( skol3( skol4
% 16.13/16.51 ) ), skol3( skol4 ) ) }.
% 16.13/16.51 (304) {G1,W4,D3,L1,V0,M1} R(22,26);r(27) { in_environment( skol4, skol2(
% 16.13/16.51 skol4 ) ) }.
% 16.13/16.51 (321) {G2,W6,D4,L1,V0,M1} R(304,30) { greater_or_equal( skol5( skol2( skol4
% 16.13/16.51 ) ), skol2( skol4 ) ) }.
% 16.13/16.51 (323) {G2,W11,D3,L3,V1,M3} P(2,304) { in_environment( skol4, X ), !
% 16.13/16.51 greater_or_equal( skol2( skol4 ), X ), greater( skol2( skol4 ), X ) }.
% 16.13/16.51 (324) {G2,W11,D3,L3,V1,M3} P(2,304) { in_environment( skol4, X ), !
% 16.13/16.51 greater_or_equal( X, skol2( skol4 ) ), greater( X, skol2( skol4 ) ) }.
% 16.13/16.51 (325) {G3,W12,D4,L2,V0,M2} R(321,2) { greater( skol5( skol2( skol4 ) ),
% 16.13/16.51 skol2( skol4 ) ), skol5( skol2( skol4 ) ) ==> skol2( skol4 ) }.
% 16.13/16.51 (326) {G3,W14,D4,L3,V1,M3} P(2,321) { greater_or_equal( X, skol2( skol4 ) )
% 16.13/16.51 , ! greater_or_equal( skol5( skol2( skol4 ) ), X ), greater( skol5( skol2
% 16.13/16.51 ( skol4 ) ), X ) }.
% 16.13/16.51 (359) {G2,W12,D2,L4,V3,M4} R(42,2) { greater_or_equal( X, Y ), ! greater( Z
% 16.13/16.51 , Y ), ! greater_or_equal( X, Z ), X = Z }.
% 16.13/16.51 (360) {G2,W12,D2,L4,V3,M4} R(42,2) { greater_or_equal( X, Y ), ! greater( X
% 16.13/16.51 , Z ), ! greater_or_equal( Z, Y ), Z = Y }.
% 16.13/16.51 (364) {G2,W6,D3,L1,V1,M1} R(28,304) { subpopulations( first_movers,
% 16.13/16.51 efficient_producers, skol4, skol5( X ) ) }.
% 16.13/16.51 (421) {G1,W5,D3,L1,V0,M1} R(25,26);r(27) { greater_or_equal( skol3( skol4 )
% 16.13/16.51 , equilibrium( skol4 ) ) }.
% 16.13/16.51 (428) {G2,W10,D3,L2,V0,M2} R(421,2) { greater( skol3( skol4 ), equilibrium
% 16.13/16.51 ( skol4 ) ), skol3( skol4 ) ==> equilibrium( skol4 ) }.
% 16.13/16.51 (429) {G2,W12,D3,L3,V1,M3} P(2,421) { greater_or_equal( X, equilibrium(
% 16.13/16.51 skol4 ) ), ! greater_or_equal( skol3( skol4 ), X ), greater( skol3( skol4
% 16.13/16.51 ), X ) }.
% 16.13/16.51 (430) {G2,W12,D3,L3,V1,M3} P(2,421) { greater_or_equal( X, equilibrium(
% 16.13/16.51 skol4 ) ), ! greater_or_equal( X, skol3( skol4 ) ), greater( X, skol3(
% 16.13/16.51 skol4 ) ) }.
% 16.13/16.51 (432) {G2,W12,D3,L3,V1,M3} P(2,421) { greater_or_equal( skol3( skol4 ), X )
% 16.13/16.51 , ! greater_or_equal( X, equilibrium( skol4 ) ), greater( X, equilibrium
% 16.13/16.51 ( skol4 ) ) }.
% 16.13/16.51 (438) {G3,W9,D3,L2,V0,M2} P(428,258) { in_environment( skol4, equilibrium(
% 16.13/16.51 skol4 ) ), greater( skol3( skol4 ), equilibrium( skol4 ) ) }.
% 16.13/16.51 (457) {G4,W12,D3,L3,V1,M3} R(438,42) { in_environment( skol4, equilibrium(
% 16.13/16.51 skol4 ) ), greater_or_equal( X, equilibrium( skol4 ) ), ! greater( X,
% 16.13/16.51 skol3( skol4 ) ) }.
% 16.13/16.51 (459) {G4,W12,D3,L3,V1,M3} R(438,0) { in_environment( skol4, equilibrium(
% 16.13/16.51 skol4 ) ), ! greater( X, skol3( skol4 ) ), greater( X, equilibrium( skol4
% 16.13/16.51 ) ) }.
% 16.13/16.51 (464) {G5,W12,D3,L3,V1,M3} P(2,438);r(459) { in_environment( skol4,
% 16.13/16.51 equilibrium( skol4 ) ), greater( X, equilibrium( skol4 ) ), !
% 16.13/16.51 greater_or_equal( X, skol3( skol4 ) ) }.
% 16.13/16.51 (500) {G3,W8,D3,L2,V1,M2} R(18,364);r(26) { ! alpha3( skol5( X ) ), !
% 16.13/16.51 greater_or_equal( skol5( X ), equilibrium( skol4 ) ) }.
% 16.13/16.51 (512) {G1,W11,D3,L3,V1,M3} R(18,26) { ! alpha3( X ), ! subpopulations(
% 16.13/16.51 first_movers, efficient_producers, skol4, X ), ! greater_or_equal( X,
% 16.13/16.51 equilibrium( skol4 ) ) }.
% 16.13/16.51 (523) {G4,W11,D3,L3,V2,M3} R(500,42) { ! alpha3( skol5( X ) ), ! greater(
% 16.13/16.51 skol5( X ), Y ), ! greater( Y, equilibrium( skol4 ) ) }.
% 16.13/16.51 (582) {G1,W16,D3,L3,V1,M3} R(23,26);r(27) { ! subpopulations( first_movers
% 16.13/16.51 , efficient_producers, skol4, X ), ! greater_or_equal( X, skol2( skol4 )
% 16.13/16.51 ), greater( growth_rate( efficient_producers, X ), growth_rate(
% 16.13/16.51 first_movers, X ) ) }.
% 16.13/16.51 (948) {G2,W11,D3,L3,V1,M3} R(41,304) { greater_or_equal( X, skol2( skol4 )
% 16.13/16.51 ), ! in_environment( skol4, X ), greater( skol2( skol4 ), X ) }.
% 16.13/16.51 (949) {G2,W11,D3,L3,V1,M3} R(41,304) { greater_or_equal( skol2( skol4 ), X
% 16.13/16.51 ), ! in_environment( skol4, X ), greater( X, skol2( skol4 ) ) }.
% 16.13/16.51 (1253) {G3,W12,D3,L3,V1,M3} P(50,364) { subpopulations( first_movers,
% 16.13/16.51 efficient_producers, skol4, X ), greater( skol5( X ), X ), !
% 16.13/16.51 in_environment( skol4, X ) }.
% 16.13/16.51 (1316) {G2,W15,D2,L5,V3,M5} R(51,2) { ! greater_or_equal( X, Y ), X = Y,
% 16.13/16.51 greater( X, Z ), ! greater_or_equal( Y, Z ), Y = Z }.
% 16.13/16.51 (1352) {G3,W12,D2,L4,V2,M4} E(1316);r(4) { ! X = Y, Y = X, greater( Y, X )
% 16.13/16.51 , ! greater_or_equal( X, X ) }.
% 16.13/16.51 (1748) {G5,W12,D3,L3,V1,M3} R(523,438) { ! alpha3( skol5( X ) ), ! greater
% 16.13/16.51 ( skol5( X ), skol3( skol4 ) ), in_environment( skol4, equilibrium( skol4
% 16.13/16.51 ) ) }.
% 16.13/16.51 (1749) {G5,W13,D3,L3,V1,M3} R(523,428) { ! alpha3( skol5( X ) ), ! greater
% 16.13/16.51 ( skol5( X ), skol3( skol4 ) ), skol3( skol4 ) ==> equilibrium( skol4 )
% 16.13/16.51 }.
% 16.13/16.51 (1818) {G3,W10,D3,L2,V0,M2} R(948,258) { greater_or_equal( skol3( skol4 ),
% 16.13/16.51 skol2( skol4 ) ), greater( skol2( skol4 ), skol3( skol4 ) ) }.
% 16.13/16.51 (1819) {G3,W11,D3,L3,V1,M3} R(948,3) { greater_or_equal( X, skol2( skol4 )
% 16.13/16.51 ), ! in_environment( skol4, X ), greater_or_equal( skol2( skol4 ), X )
% 16.13/16.51 }.
% 16.13/16.51 (1826) {G4,W10,D3,L2,V0,M2} R(1818,3) { greater_or_equal( skol3( skol4 ),
% 16.13/16.51 skol2( skol4 ) ), greater_or_equal( skol2( skol4 ), skol3( skol4 ) ) }.
% 16.13/16.51 (1829) {G5,W15,D3,L3,V0,M3} R(1826,2) { greater_or_equal( skol2( skol4 ),
% 16.13/16.51 skol3( skol4 ) ), greater( skol3( skol4 ), skol2( skol4 ) ), skol3( skol4
% 16.13/16.51 ) ==> skol2( skol4 ) }.
% 16.13/16.51 (1837) {G3,W10,D3,L2,V0,M2} R(949,258) { greater_or_equal( skol2( skol4 ),
% 16.13/16.51 skol3( skol4 ) ), greater( skol3( skol4 ), skol2( skol4 ) ) }.
% 16.13/16.51 (1842) {G4,W13,D3,L3,V1,M3} R(1837,42) { greater_or_equal( skol2( skol4 ),
% 16.13/16.51 skol3( skol4 ) ), greater_or_equal( X, skol2( skol4 ) ), ! greater( X,
% 16.13/16.51 skol3( skol4 ) ) }.
% 16.13/16.51 (1844) {G4,W13,D3,L3,V1,M3} R(1837,0) { greater_or_equal( skol2( skol4 ),
% 16.13/16.51 skol3( skol4 ) ), ! greater( X, skol3( skol4 ) ), greater( X, skol2(
% 16.13/16.51 skol4 ) ) }.
% 16.13/16.51 (1883) {G2,W11,D3,L3,V1,M3} R(512,3) { ! alpha3( X ), ! subpopulations(
% 16.13/16.51 first_movers, efficient_producers, skol4, X ), ! greater( X, equilibrium
% 16.13/16.51 ( skol4 ) ) }.
% 16.13/16.51 (1912) {G3,W12,D3,L3,V1,M3} R(323,948);f { ! greater_or_equal( skol2( skol4
% 16.13/16.51 ), X ), greater( skol2( skol4 ), X ), greater_or_equal( X, skol2( skol4
% 16.13/16.51 ) ) }.
% 16.13/16.51 (1928) {G3,W12,D3,L3,V1,M3} R(324,949);f { ! greater_or_equal( X, skol2(
% 16.13/16.51 skol4 ) ), greater( X, skol2( skol4 ) ), greater_or_equal( skol2( skol4 )
% 16.13/16.51 , X ) }.
% 16.13/16.51 (2026) {G3,W15,D3,L4,V2,M4} P(359,421) { greater_or_equal( X, equilibrium(
% 16.13/16.51 skol4 ) ), greater_or_equal( X, Y ), ! greater( skol3( skol4 ), Y ), !
% 16.13/16.51 greater_or_equal( X, skol3( skol4 ) ) }.
% 16.13/16.51 (2041) {G4,W13,D3,L3,V1,M3} F(2026) { greater_or_equal( X, equilibrium(
% 16.13/16.51 skol4 ) ), ! greater( skol3( skol4 ), equilibrium( skol4 ) ), !
% 16.13/16.51 greater_or_equal( X, skol3( skol4 ) ) }.
% 16.13/16.51 (2050) {G3,W15,D3,L4,V2,M4} P(360,421) { greater_or_equal( skol3( skol4 ),
% 16.13/16.51 X ), greater_or_equal( Y, X ), ! greater( Y, equilibrium( skol4 ) ), !
% 16.13/16.51 greater_or_equal( equilibrium( skol4 ), X ) }.
% 16.13/16.51 (2066) {G4,W13,D3,L3,V1,M3} F(2050) { greater_or_equal( skol3( skol4 ), X )
% 16.13/16.51 , ! greater( skol3( skol4 ), equilibrium( skol4 ) ), ! greater_or_equal(
% 16.13/16.51 equilibrium( skol4 ), X ) }.
% 16.13/16.51 (2327) {G4,W9,D2,L3,V2,M3} S(1352);r(31) { ! X = Y, Y = X, greater( Y, X )
% 16.13/16.51 }.
% 16.13/16.51 (2379) {G5,W12,D2,L4,V3,M4} R(2327,0) { ! X = Y, Y = X, ! greater( Z, Y ),
% 16.13/16.51 greater( Z, X ) }.
% 16.13/16.51 (2685) {G3,W11,D3,L3,V2,M3} R(106,262);r(79) { ! environment( X ), !
% 16.13/16.51 subpopulations( first_movers, efficient_producers, X, skol5( Y ) ),
% 16.13/16.51 alpha2( skol5( Y ) ) }.
% 16.13/16.51 (2701) {G4,W3,D3,L1,V1,M1} R(2685,364);r(26) { alpha2( skol5( X ) ) }.
% 16.13/16.51 (2704) {G5,W9,D4,L2,V1,M2} R(2701,11) { alpha1( skol5( X ) ), greater( zero
% 16.13/16.51 , growth_rate( efficient_producers, skol5( X ) ) ) }.
% 16.13/16.51 (2705) {G5,W9,D4,L2,V1,M2} R(2701,10) { alpha1( skol5( X ) ), greater(
% 16.13/16.51 growth_rate( first_movers, skol5( X ) ), zero ) }.
% 16.13/16.51 (2772) {G6,W12,D4,L3,V2,M3} R(2704,0) { alpha1( skol5( X ) ), ! greater(
% 16.13/16.51 growth_rate( efficient_producers, skol5( X ) ), Y ), greater( zero, Y )
% 16.13/16.51 }.
% 16.13/16.51 (2819) {G6,W12,D4,L3,V2,M3} R(2705,0) { alpha1( skol5( X ) ), ! greater( Y
% 16.13/16.51 , growth_rate( first_movers, skol5( X ) ) ), greater( Y, zero ) }.
% 16.13/16.51 (3044) {G3,W12,D4,L2,V1,M2} R(112,364);r(262) { ! greater_or_equal(
% 16.13/16.51 growth_rate( efficient_producers, skol5( X ) ), zero ), ! greater( zero,
% 16.13/16.51 growth_rate( first_movers, skol5( X ) ) ) }.
% 16.13/16.51 (3191) {G6,W14,D4,L3,V0,M3} R(1748,50);r(258) { ! alpha3( skol5( skol3(
% 16.13/16.51 skol4 ) ) ), in_environment( skol4, equilibrium( skol4 ) ), skol5( skol3
% 16.13/16.51 ( skol4 ) ) ==> skol3( skol4 ) }.
% 16.13/16.51 (3195) {G6,W14,D4,L3,V0,M3} R(1253,1748);r(258) { subpopulations(
% 16.13/16.51 first_movers, efficient_producers, skol4, skol3( skol4 ) ), ! alpha3(
% 16.13/16.51 skol5( skol3( skol4 ) ) ), in_environment( skol4, equilibrium( skol4 ) )
% 16.13/16.51 }.
% 16.13/16.51 (3257) {G5,W14,D3,L3,V0,M3} R(457,1912);r(1826) { in_environment( skol4,
% 16.13/16.51 equilibrium( skol4 ) ), greater_or_equal( skol2( skol4 ), equilibrium(
% 16.13/16.51 skol4 ) ), greater_or_equal( skol3( skol4 ), skol2( skol4 ) ) }.
% 16.13/16.51 (3279) {G6,W10,D4,L2,V0,M2} R(464,263) { in_environment( skol4, equilibrium
% 16.13/16.51 ( skol4 ) ), greater( skol5( skol3( skol4 ) ), equilibrium( skol4 ) ) }.
% 16.13/16.51 (3284) {G7,W8,D4,L2,V0,M2} R(3279,1883);d(3191);r(3195) { in_environment(
% 16.13/16.51 skol4, equilibrium( skol4 ) ), ! alpha3( skol5( skol3( skol4 ) ) ) }.
% 16.13/16.51 (3311) {G8,W10,D4,L2,V0,M2} R(3284,30) { ! alpha3( skol5( skol3( skol4 ) )
% 16.13/16.51 ), greater_or_equal( skol5( equilibrium( skol4 ) ), equilibrium( skol4 )
% 16.13/16.51 ) }.
% 16.13/16.51 (3376) {G5,W13,D3,L3,V1,M3} R(430,523);r(500) { ! greater_or_equal( skol5(
% 16.13/16.51 X ), skol3( skol4 ) ), ! alpha3( skol5( X ) ), ! greater( skol3( skol4 )
% 16.13/16.51 , equilibrium( skol4 ) ) }.
% 16.13/16.51 (3562) {G4,W12,D4,L2,V1,M2} R(3044,3) { ! greater( zero, growth_rate(
% 16.13/16.51 first_movers, skol5( X ) ) ), ! greater( growth_rate( efficient_producers
% 16.13/16.51 , skol5( X ) ), zero ) }.
% 16.13/16.51 (3566) {G4,W9,D3,L3,V1,M3} P(15,3044);d(14);r(3) { ! alpha1( skol5( X ) ),
% 16.13/16.51 alpha3( skol5( X ) ), ! greater( zero, zero ) }.
% 16.13/16.51 (3659) {G5,W12,D3,L4,V2,M4} R(3566,0) { ! alpha1( skol5( X ) ), alpha3(
% 16.13/16.51 skol5( X ) ), ! greater( zero, Y ), ! greater( Y, zero ) }.
% 16.13/16.51 (4266) {G6,W13,D3,L3,V1,M3} R(3376,428) { ! greater_or_equal( skol5( X ),
% 16.13/16.51 skol3( skol4 ) ), ! alpha3( skol5( X ) ), skol3( skol4 ) ==> equilibrium
% 16.13/16.51 ( skol4 ) }.
% 16.13/16.51 (4267) {G6,W9,D4,L2,V0,M2} R(3376,263) { ! alpha3( skol5( skol3( skol4 ) )
% 16.13/16.51 ), ! greater( skol3( skol4 ), equilibrium( skol4 ) ) }.
% 16.13/16.51 (4299) {G7,W9,D4,L2,V0,M2} R(4267,428) { ! alpha3( skol5( skol3( skol4 ) )
% 16.13/16.51 ), skol3( skol4 ) ==> equilibrium( skol4 ) }.
% 16.13/16.51 (4302) {G8,W12,D4,L3,V1,M3} R(4267,0);d(4299) { ! alpha3( skol5( skol3(
% 16.13/16.51 skol4 ) ) ), ! greater( X, equilibrium( skol4 ) ), ! greater( equilibrium
% 16.13/16.51 ( skol4 ), X ) }.
% 16.13/16.51 (4305) {G9,W12,D4,L3,V1,M3} P(2327,4267);d(4299);r(4302) { ! alpha3( skol5
% 16.13/16.51 ( skol3( skol4 ) ) ), ! equilibrium( skol4 ) = X, ! greater( equilibrium
% 16.13/16.51 ( skol4 ), X ) }.
% 16.13/16.51 (4317) {G10,W9,D4,L2,V0,M2} Q(4305) { ! alpha3( skol5( skol3( skol4 ) ) ),
% 16.13/16.51 ! greater( equilibrium( skol4 ), equilibrium( skol4 ) ) }.
% 16.13/16.51 (4368) {G11,W12,D4,L3,V1,M3} R(4317,2379);r(2327) { ! alpha3( skol5( skol3
% 16.13/16.51 ( skol4 ) ) ), ! equilibrium( skol4 ) = X, X = equilibrium( skol4 ) }.
% 16.13/16.51 (4459) {G12,W15,D4,L4,V2,M4} P(4368,500) { ! alpha3( skol5( Y ) ), !
% 16.13/16.51 greater_or_equal( skol5( Y ), X ), ! alpha3( skol5( skol3( skol4 ) ) ), !
% 16.13/16.51 equilibrium( skol4 ) = X }.
% 16.13/16.51 (4460) {G13,W13,D4,L3,V1,M3} F(4459);d(4299) { ! alpha3( skol5( skol3(
% 16.13/16.51 skol4 ) ) ), ! equilibrium( skol4 ) = X, ! greater_or_equal( skol5(
% 16.13/16.51 equilibrium( skol4 ) ), X ) }.
% 16.13/16.51 (4461) {G14,W4,D4,L1,V0,M1} Q(4460);r(3311) { ! alpha3( skol5( skol3( skol4
% 16.13/16.51 ) ) ) }.
% 16.13/16.51 (4472) {G15,W7,D4,L2,V0,M2} R(4461,3566) { ! alpha1( skol5( skol3( skol4 )
% 16.13/16.51 ) ), ! greater( zero, zero ) }.
% 16.13/16.51 (4473) {G15,W11,D5,L2,V0,M2} R(4461,15) { ! alpha1( skol5( skol3( skol4 ) )
% 16.13/16.51 ), growth_rate( efficient_producers, skol5( skol3( skol4 ) ) ) ==> zero
% 16.13/16.51 }.
% 16.13/16.51 (4474) {G15,W11,D5,L2,V0,M2} R(4461,14) { ! alpha1( skol5( skol3( skol4 ) )
% 16.13/16.51 ), growth_rate( first_movers, skol5( skol3( skol4 ) ) ) ==> zero }.
% 16.13/16.51 (5011) {G2,W12,D3,L4,V2,M4} R(225,223);f;f;f { ! alpha2( X ), alpha1( X ),
% 16.13/16.51 greater( Y, zero ), ! greater_or_equal( Y, growth_rate( first_movers, X )
% 16.13/16.51 ) }.
% 16.13/16.51 (5314) {G5,W13,D3,L3,V1,M3} R(2066,428) { greater_or_equal( skol3( skol4 )
% 16.13/16.51 , X ), ! greater_or_equal( equilibrium( skol4 ), X ), skol3( skol4 ) ==>
% 16.13/16.51 equilibrium( skol4 ) }.
% 16.13/16.51 (5324) {G6,W15,D3,L3,V0,M3} R(5314,1819);r(3257) { greater_or_equal( skol3
% 16.13/16.51 ( skol4 ), skol2( skol4 ) ), skol3( skol4 ) ==> equilibrium( skol4 ),
% 16.13/16.51 greater_or_equal( skol2( skol4 ), equilibrium( skol4 ) ) }.
% 16.13/16.51 (5338) {G5,W13,D3,L3,V1,M3} R(2041,428) { greater_or_equal( X, equilibrium
% 16.13/16.51 ( skol4 ) ), ! greater_or_equal( X, skol3( skol4 ) ), skol3( skol4 ) ==>
% 16.13/16.51 equilibrium( skol4 ) }.
% 16.13/16.51 (5405) {G7,W15,D3,L3,V0,M3} R(5338,1928);r(5324) { greater_or_equal( skol2
% 16.13/16.51 ( skol4 ), equilibrium( skol4 ) ), skol3( skol4 ) ==> equilibrium( skol4
% 16.13/16.51 ), greater( skol3( skol4 ), skol2( skol4 ) ) }.
% 16.13/16.51 (5409) {G8,W10,D3,L2,V0,M2} R(1844,429);d(1829);d(5405);d(5405);f;r(31) {
% 16.13/16.51 greater( skol3( skol4 ), skol2( skol4 ) ), greater_or_equal( skol2( skol4
% 16.13/16.51 ), equilibrium( skol4 ) ) }.
% 16.13/16.51 (5421) {G9,W10,D3,L2,V0,M2} R(5409,3) { greater_or_equal( skol2( skol4 ),
% 16.13/16.51 equilibrium( skol4 ) ), greater_or_equal( skol3( skol4 ), skol2( skol4 )
% 16.13/16.51 ) }.
% 16.13/16.51 (5427) {G10,W10,D3,L2,V0,M2} R(5421,432);f { greater_or_equal( skol3( skol4
% 16.13/16.51 ), skol2( skol4 ) ), greater( skol2( skol4 ), equilibrium( skol4 ) ) }.
% 16.13/16.51 (5436) {G11,W13,D3,L3,V1,M3} R(5427,523) { greater_or_equal( skol3( skol4 )
% 16.13/16.51 , skol2( skol4 ) ), ! alpha3( skol5( X ) ), ! greater( skol5( X ), skol2
% 16.13/16.51 ( skol4 ) ) }.
% 16.13/16.51 (5446) {G12,W15,D4,L3,V0,M3} R(5436,325) { greater_or_equal( skol3( skol4 )
% 16.13/16.51 , skol2( skol4 ) ), ! alpha3( skol5( skol2( skol4 ) ) ), skol5( skol2(
% 16.13/16.51 skol4 ) ) ==> skol2( skol4 ) }.
% 16.13/16.51 (5537) {G13,W14,D4,L3,V0,M3} R(326,1749);d(5446);r(1826) { greater_or_equal
% 16.13/16.51 ( skol3( skol4 ), skol2( skol4 ) ), ! alpha3( skol5( skol2( skol4 ) ) ),
% 16.13/16.51 skol3( skol4 ) ==> equilibrium( skol4 ) }.
% 16.13/16.51 (6557) {G3,W11,D5,L1,V0,M1} R(582,321);r(364) { greater( growth_rate(
% 16.13/16.51 efficient_producers, skol5( skol2( skol4 ) ) ), growth_rate( first_movers
% 16.13/16.51 , skol5( skol2( skol4 ) ) ) ) }.
% 16.13/16.51 (6560) {G7,W11,D5,L2,V0,M2} R(6557,2772) { alpha1( skol5( skol2( skol4 ) )
% 16.13/16.51 ), greater( zero, growth_rate( first_movers, skol5( skol2( skol4 ) ) ) )
% 16.13/16.51 }.
% 16.13/16.51 (6562) {G7,W11,D5,L2,V0,M2} R(6557,2819) { alpha1( skol5( skol2( skol4 ) )
% 16.13/16.51 ), greater( growth_rate( efficient_producers, skol5( skol2( skol4 ) ) )
% 16.13/16.51 , zero ) }.
% 16.13/16.51 (6585) {G4,W11,D4,L3,V0,M3} P(15,6557);d(14) { ! alpha1( skol5( skol2(
% 16.13/16.51 skol4 ) ) ), alpha3( skol5( skol2( skol4 ) ) ), greater( zero, zero ) }.
% 16.13/16.51 (6609) {G6,W14,D4,L4,V1,M4} R(6585,3659);r(6585) { ! alpha1( skol5( skol2(
% 16.13/16.51 skol4 ) ) ), alpha3( skol5( skol2( skol4 ) ) ), ! alpha1( skol5( X ) ),
% 16.13/16.51 alpha3( skol5( X ) ) }.
% 16.13/16.51 (6612) {G7,W8,D4,L2,V0,M2} F(6609);f { ! alpha1( skol5( skol2( skol4 ) ) )
% 16.13/16.51 , alpha3( skol5( skol2( skol4 ) ) ) }.
% 16.13/16.51 (6643) {G8,W15,D4,L3,V0,M3} R(6612,4266) { ! alpha1( skol5( skol2( skol4 )
% 16.13/16.51 ) ), ! greater_or_equal( skol5( skol2( skol4 ) ), skol3( skol4 ) ),
% 16.13/16.51 skol3( skol4 ) ==> equilibrium( skol4 ) }.
% 16.13/16.51 (6670) {G8,W10,D4,L2,V0,M2} R(6612,1883);r(364) { ! alpha1( skol5( skol2(
% 16.13/16.51 skol4 ) ) ), ! greater( skol5( skol2( skol4 ) ), equilibrium( skol4 ) )
% 16.13/16.51 }.
% 16.13/16.51 (6671) {G8,W10,D4,L2,V0,M2} R(6612,512);r(364) { ! alpha1( skol5( skol2(
% 16.13/16.51 skol4 ) ) ), ! greater_or_equal( skol5( skol2( skol4 ) ), equilibrium(
% 16.13/16.51 skol4 ) ) }.
% 16.13/16.51 (6717) {G9,W10,D4,L2,V0,M2} R(6671,430);d(6643);r(6670) { ! alpha1( skol5(
% 16.13/16.51 skol2( skol4 ) ) ), ! greater_or_equal( skol5( skol2( skol4 ) ), skol3(
% 16.13/16.51 skol4 ) ) }.
% 16.13/16.51 (6776) {G10,W10,D4,L2,V0,M2} R(6717,3) { ! alpha1( skol5( skol2( skol4 ) )
% 16.13/16.51 ), ! greater( skol5( skol2( skol4 ) ), skol3( skol4 ) ) }.
% 16.13/16.51 (6794) {G11,W10,D4,L2,V0,M2} R(6776,16) { ! greater( skol5( skol2( skol4 )
% 16.13/16.51 ), skol3( skol4 ) ), ! alpha3( skol5( skol2( skol4 ) ) ) }.
% 16.13/16.51 (6801) {G14,W9,D4,L2,V0,M2} R(6794,326);d(5446);d(5537);r(5421) { ! alpha3
% 16.13/16.51 ( skol5( skol2( skol4 ) ) ), greater_or_equal( skol3( skol4 ), skol2(
% 16.13/16.51 skol4 ) ) }.
% 16.13/16.51 (6819) {G15,W9,D4,L2,V0,M2} R(6801,6612) { greater_or_equal( skol3( skol4 )
% 16.13/16.51 , skol2( skol4 ) ), ! alpha1( skol5( skol2( skol4 ) ) ) }.
% 16.13/16.51 (7052) {G8,W4,D4,L1,V0,M1} R(6560,3562);r(6562) { alpha1( skol5( skol2(
% 16.13/16.51 skol4 ) ) ) }.
% 16.13/16.51 (7055) {G16,W5,D3,L1,V0,M1} R(7052,6819) { greater_or_equal( skol3( skol4 )
% 16.13/16.51 , skol2( skol4 ) ) }.
% 16.13/16.51 (7056) {G11,W6,D4,L1,V0,M1} R(7052,6776) { ! greater( skol5( skol2( skol4 )
% 16.13/16.51 ), skol3( skol4 ) ) }.
% 16.13/16.51 (7057) {G10,W6,D4,L1,V0,M1} R(7052,6717) { ! greater_or_equal( skol5( skol2
% 16.13/16.51 ( skol4 ) ), skol3( skol4 ) ) }.
% 16.13/16.51 (7097) {G17,W10,D3,L2,V0,M2} R(7055,2) { greater( skol3( skol4 ), skol2(
% 16.13/16.51 skol4 ) ), skol3( skol4 ) ==> skol2( skol4 ) }.
% 16.13/16.51 (7216) {G12,W9,D4,L2,V1,M2} R(7056,0) { ! greater( skol5( skol2( skol4 ) )
% 16.13/16.51 , X ), ! greater( X, skol3( skol4 ) ) }.
% 16.13/16.51 (7229) {G13,W9,D4,L2,V1,M2} P(2,7056);r(7216) { ! greater( skol5( skol2(
% 16.13/16.51 skol4 ) ), X ), ! greater_or_equal( X, skol3( skol4 ) ) }.
% 16.13/16.51 (7373) {G14,W5,D3,L1,V0,M1} P(325,7057);r(7229) { ! greater_or_equal( skol2
% 16.13/16.51 ( skol4 ), skol3( skol4 ) ) }.
% 16.13/16.51 (7388) {G15,W8,D3,L2,V1,M2} R(7373,1844) { ! greater( X, skol3( skol4 ) ),
% 16.13/16.51 greater( X, skol2( skol4 ) ) }.
% 16.13/16.51 (7390) {G15,W8,D3,L2,V1,M2} R(7373,1842) { greater_or_equal( X, skol2(
% 16.13/16.51 skol4 ) ), ! greater( X, skol3( skol4 ) ) }.
% 16.13/16.51 (7392) {G18,W5,D3,L1,V0,M1} R(7373,1928);d(7097);r(31) { greater( skol3(
% 16.13/16.51 skol4 ), skol2( skol4 ) ) }.
% 16.13/16.51 (7593) {G19,W8,D3,L2,V1,M2} P(2327,7392);r(7388) { greater( X, skol2( skol4
% 16.13/16.51 ) ), ! skol3( skol4 ) = X }.
% 16.13/16.51 (8793) {G20,W8,D3,L2,V1,M2} R(7593,3) { ! skol3( skol4 ) = X,
% 16.13/16.51 greater_or_equal( X, skol2( skol4 ) ) }.
% 16.13/16.51 (8824) {G21,W15,D3,L4,V2,M4} P(2,8793) { ! X = Y, greater_or_equal( Y,
% 16.13/16.51 skol2( skol4 ) ), ! greater_or_equal( X, skol3( skol4 ) ), greater( X,
% 16.13/16.51 skol3( skol4 ) ) }.
% 16.13/16.51 (8828) {G22,W8,D3,L2,V1,M2} Q(8824);r(7390) { greater_or_equal( X, skol2(
% 16.13/16.51 skol4 ) ), ! greater_or_equal( X, skol3( skol4 ) ) }.
% 16.13/16.51 (8955) {G23,W6,D4,L1,V0,M1} R(8828,263) { greater_or_equal( skol5( skol3(
% 16.13/16.51 skol4 ) ), skol2( skol4 ) ) }.
% 16.13/16.51 (8971) {G24,W11,D5,L1,V0,M1} R(8955,582);r(364) { greater( growth_rate(
% 16.13/16.51 efficient_producers, skol5( skol3( skol4 ) ) ), growth_rate( first_movers
% 16.13/16.51 , skol5( skol3( skol4 ) ) ) ) }.
% 16.13/16.51 (12589) {G25,W11,D5,L1,V0,M1} R(8971,3) { greater_or_equal( growth_rate(
% 16.13/16.51 efficient_producers, skol5( skol3( skol4 ) ) ), growth_rate( first_movers
% 16.13/16.51 , skol5( skol3( skol4 ) ) ) ) }.
% 16.13/16.51 (12608) {G25,W4,D4,L1,V0,M1} P(4474,8971);d(4473);r(4472) { ! alpha1( skol5
% 16.13/16.51 ( skol3( skol4 ) ) ) }.
% 16.13/16.51 (12658) {G26,W10,D5,L2,V1,M2} R(12608,5011);r(2701) { greater( X, zero ), !
% 16.13/16.51 greater_or_equal( X, growth_rate( first_movers, skol5( skol3( skol4 ) )
% 16.13/16.51 ) ) }.
% 16.13/16.51 (12665) {G26,W10,D5,L2,V1,M2} R(12608,2772) { ! greater( growth_rate(
% 16.13/16.51 efficient_producers, skol5( skol3( skol4 ) ) ), X ), greater( zero, X )
% 16.13/16.51 }.
% 16.13/16.51 (15214) {G27,W7,D5,L1,V0,M1} R(12665,8971) { greater( zero, growth_rate(
% 16.13/16.51 first_movers, skol5( skol3( skol4 ) ) ) ) }.
% 16.13/16.51 (15299) {G28,W7,D5,L1,V0,M1} R(15214,3562) { ! greater( growth_rate(
% 16.13/16.51 efficient_producers, skol5( skol3( skol4 ) ) ), zero ) }.
% 16.13/16.51 (16888) {G29,W0,D0,L0,V0,M0} R(15299,12658);r(12589) { }.
% 16.13/16.51
% 16.13/16.51
% 16.13/16.51 % SZS output end Refutation
% 16.13/16.51 found a proof!
% 16.13/16.51
% 16.13/16.51
% 16.13/16.51 Unprocessed initial clauses:
% 16.13/16.51
% 16.13/16.51 (16890) {G0,W9,D2,L3,V3,M3} { ! greater( X, Z ), ! greater( Z, Y ),
% 16.13/16.51 greater( X, Y ) }.
% 16.13/16.51 (16891) {G0,W15,D2,L5,V3,M5} { ! in_environment( Z, X ), ! in_environment
% 16.13/16.51 ( Z, Y ), greater( Y, X ), Y = X, greater( X, Y ) }.
% 16.13/16.51 (16892) {G0,W9,D2,L3,V2,M3} { ! greater_or_equal( X, Y ), greater( X, Y )
% 16.13/16.51 , X = Y }.
% 16.13/16.51 (16893) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), greater_or_equal( X, Y )
% 16.13/16.51 }.
% 16.13/16.51 (16894) {G0,W6,D2,L2,V2,M2} { ! X = Y, greater_or_equal( X, Y ) }.
% 16.13/16.51 (16895) {G0,W21,D3,L5,V4,M5} { ! environment( T ), ! subpopulations( X, Y
% 16.13/16.51 , T, Z ), ! greater_or_equal( growth_rate( Y, Z ), zero ), ! greater(
% 16.13/16.51 zero, growth_rate( X, Z ) ), outcompetes( Y, X, Z ) }.
% 16.13/16.51 (16896) {G0,W16,D3,L4,V4,M4} { ! environment( T ), ! subpopulations( X, Y
% 16.13/16.51 , T, Z ), ! outcompetes( Y, X, Z ), greater_or_equal( growth_rate( Y, Z )
% 16.13/16.51 , zero ) }.
% 16.13/16.51 (16897) {G0,W16,D3,L4,V4,M4} { ! environment( T ), ! subpopulations( X, Y
% 16.13/16.51 , T, Z ), ! outcompetes( Y, X, Z ), greater( zero, growth_rate( X, Z ) )
% 16.13/16.51 }.
% 16.13/16.51 (16898) {G0,W7,D3,L2,V1,M2} { alpha2( X ), greater( growth_rate(
% 16.13/16.51 efficient_producers, X ), zero ) }.
% 16.13/16.51 (16899) {G0,W7,D3,L2,V1,M2} { alpha2( X ), greater( zero, growth_rate(
% 16.13/16.51 first_movers, X ) ) }.
% 16.13/16.51 (16900) {G0,W9,D3,L3,V1,M3} { ! alpha2( X ), alpha1( X ), greater(
% 16.13/16.51 growth_rate( first_movers, X ), zero ) }.
% 16.13/16.51 (16901) {G0,W9,D3,L3,V1,M3} { ! alpha2( X ), alpha1( X ), greater( zero,
% 16.13/16.51 growth_rate( efficient_producers, X ) ) }.
% 16.13/16.51 (16902) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 16.13/16.51 (16903) {G0,W12,D3,L3,V1,M3} { ! greater( growth_rate( first_movers, X ),
% 16.13/16.51 zero ), ! greater( zero, growth_rate( efficient_producers, X ) ), alpha2
% 16.13/16.51 ( X ) }.
% 16.13/16.51 (16904) {G0,W9,D3,L3,V1,M3} { ! alpha1( X ), alpha3( X ), growth_rate(
% 16.13/16.51 first_movers, X ) = zero }.
% 16.13/16.51 (16905) {G0,W9,D3,L3,V1,M3} { ! alpha1( X ), alpha3( X ), growth_rate(
% 16.13/16.51 efficient_producers, X ) = zero }.
% 16.13/16.51 (16906) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha1( X ) }.
% 16.13/16.51 (16907) {G0,W12,D3,L3,V1,M3} { ! growth_rate( first_movers, X ) = zero, !
% 16.13/16.51 growth_rate( efficient_producers, X ) = zero, alpha1( X ) }.
% 16.13/16.51 (16908) {G0,W13,D3,L4,V2,M4} { ! alpha3( X ), ! environment( Y ), !
% 16.13/16.51 subpopulations( first_movers, efficient_producers, Y, X ), !
% 16.13/16.51 greater_or_equal( X, equilibrium( Y ) ) }.
% 16.13/16.51 (16909) {G0,W5,D3,L2,V2,M2} { environment( skol1( Y ) ), alpha3( X ) }.
% 16.13/16.51 (16910) {G0,W8,D3,L2,V1,M2} { subpopulations( first_movers,
% 16.13/16.51 efficient_producers, skol1( X ), X ), alpha3( X ) }.
% 16.13/16.51 (16911) {G0,W7,D4,L2,V1,M2} { greater_or_equal( X, equilibrium( skol1( X )
% 16.13/16.51 ) ), alpha3( X ) }.
% 16.13/16.51 (16912) {G0,W8,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 16.13/16.51 in_environment( X, skol2( X ) ) }.
% 16.13/16.51 (16913) {G0,W20,D3,L5,V2,M5} { ! environment( X ), ! stable( X ), !
% 16.13/16.51 subpopulations( first_movers, efficient_producers, X, Y ), !
% 16.13/16.51 greater_or_equal( Y, skol2( X ) ), greater( growth_rate(
% 16.13/16.51 efficient_producers, Y ), growth_rate( first_movers, Y ) ) }.
% 16.13/16.51 (16914) {G0,W8,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 16.13/16.51 in_environment( X, skol3( X ) ) }.
% 16.13/16.51 (16915) {G0,W9,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 16.13/16.51 greater_or_equal( skol3( X ), equilibrium( X ) ) }.
% 16.13/16.51 (16916) {G0,W2,D2,L1,V0,M1} { environment( skol4 ) }.
% 16.13/16.51 (16917) {G0,W2,D2,L1,V0,M1} { stable( skol4 ) }.
% 16.13/16.51 (16918) {G0,W9,D3,L2,V2,M2} { ! in_environment( skol4, X ), subpopulations
% 16.13/16.51 ( first_movers, efficient_producers, skol4, skol5( Y ) ) }.
% 16.13/16.51 (16919) {G0,W8,D3,L2,V2,M2} { ! in_environment( skol4, X ), ! outcompetes
% 16.13/16.51 ( efficient_producers, first_movers, skol5( Y ) ) }.
% 16.13/16.51 (16920) {G0,W7,D3,L2,V1,M2} { ! in_environment( skol4, X ),
% 16.13/16.51 greater_or_equal( skol5( X ), X ) }.
% 16.13/16.51
% 16.13/16.51
% 16.13/16.51 Total Proof:
% 16.13/16.51
% 16.13/16.51 subsumption: (0) {G0,W9,D2,L3,V3,M3} I { ! greater( X, Z ), ! greater( Z, Y
% 16.13/16.51 ), greater( X, Y ) }.
% 16.13/16.51 parent0: (16890) {G0,W9,D2,L3,V3,M3} { ! greater( X, Z ), ! greater( Z, Y
% 16.13/16.51 ), greater( X, Y ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 Z := Z
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 2 ==> 2
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (1) {G0,W15,D2,L5,V3,M5} I { ! in_environment( Z, X ), !
% 16.13/16.51 in_environment( Z, Y ), greater( Y, X ), Y = X, greater( X, Y ) }.
% 16.13/16.51 parent0: (16891) {G0,W15,D2,L5,V3,M5} { ! in_environment( Z, X ), !
% 16.13/16.51 in_environment( Z, Y ), greater( Y, X ), Y = X, greater( X, Y ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 Z := Z
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 2 ==> 2
% 16.13/16.51 3 ==> 3
% 16.13/16.51 4 ==> 4
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (2) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ),
% 16.13/16.51 greater( X, Y ), X = Y }.
% 16.13/16.51 parent0: (16892) {G0,W9,D2,L3,V2,M3} { ! greater_or_equal( X, Y ), greater
% 16.13/16.51 ( X, Y ), X = Y }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 2 ==> 2
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (3) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ),
% 16.13/16.51 greater_or_equal( X, Y ) }.
% 16.13/16.51 parent0: (16893) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), greater_or_equal
% 16.13/16.51 ( X, Y ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, greater_or_equal( X, Y )
% 16.13/16.51 }.
% 16.13/16.51 parent0: (16894) {G0,W6,D2,L2,V2,M2} { ! X = Y, greater_or_equal( X, Y )
% 16.13/16.51 }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (5) {G0,W21,D3,L5,V4,M5} I { ! environment( T ), !
% 16.13/16.51 subpopulations( X, Y, T, Z ), ! greater_or_equal( growth_rate( Y, Z ),
% 16.13/16.51 zero ), ! greater( zero, growth_rate( X, Z ) ), outcompetes( Y, X, Z )
% 16.13/16.51 }.
% 16.13/16.51 parent0: (16895) {G0,W21,D3,L5,V4,M5} { ! environment( T ), !
% 16.13/16.51 subpopulations( X, Y, T, Z ), ! greater_or_equal( growth_rate( Y, Z ),
% 16.13/16.51 zero ), ! greater( zero, growth_rate( X, Z ) ), outcompetes( Y, X, Z )
% 16.13/16.51 }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 Z := Z
% 16.13/16.51 T := T
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 2 ==> 2
% 16.13/16.51 3 ==> 3
% 16.13/16.51 4 ==> 4
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (8) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( growth_rate
% 16.13/16.51 ( efficient_producers, X ), zero ) }.
% 16.13/16.51 parent0: (16898) {G0,W7,D3,L2,V1,M2} { alpha2( X ), greater( growth_rate(
% 16.13/16.51 efficient_producers, X ), zero ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (9) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( zero,
% 16.13/16.51 growth_rate( first_movers, X ) ) }.
% 16.13/16.51 parent0: (16899) {G0,W7,D3,L2,V1,M2} { alpha2( X ), greater( zero,
% 16.13/16.51 growth_rate( first_movers, X ) ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (10) {G0,W9,D3,L3,V1,M3} I { ! alpha2( X ), alpha1( X ),
% 16.13/16.51 greater( growth_rate( first_movers, X ), zero ) }.
% 16.13/16.51 parent0: (16900) {G0,W9,D3,L3,V1,M3} { ! alpha2( X ), alpha1( X ), greater
% 16.13/16.51 ( growth_rate( first_movers, X ), zero ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 2 ==> 2
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (11) {G0,W9,D3,L3,V1,M3} I { ! alpha2( X ), alpha1( X ),
% 16.13/16.51 greater( zero, growth_rate( efficient_producers, X ) ) }.
% 16.13/16.51 parent0: (16901) {G0,W9,D3,L3,V1,M3} { ! alpha2( X ), alpha1( X ), greater
% 16.13/16.51 ( zero, growth_rate( efficient_producers, X ) ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 2 ==> 2
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (14) {G0,W9,D3,L3,V1,M3} I { ! alpha1( X ), alpha3( X ),
% 16.13/16.51 growth_rate( first_movers, X ) ==> zero }.
% 16.13/16.51 parent0: (16904) {G0,W9,D3,L3,V1,M3} { ! alpha1( X ), alpha3( X ),
% 16.13/16.51 growth_rate( first_movers, X ) = zero }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 2 ==> 2
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (15) {G0,W9,D3,L3,V1,M3} I { ! alpha1( X ), alpha3( X ),
% 16.13/16.51 growth_rate( efficient_producers, X ) ==> zero }.
% 16.13/16.51 parent0: (16905) {G0,W9,D3,L3,V1,M3} { ! alpha1( X ), alpha3( X ),
% 16.13/16.51 growth_rate( efficient_producers, X ) = zero }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 2 ==> 2
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (16) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha1( X ) }.
% 16.13/16.51 parent0: (16906) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha1( X ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (18) {G0,W13,D3,L4,V2,M4} I { ! alpha3( X ), ! environment( Y
% 16.13/16.51 ), ! subpopulations( first_movers, efficient_producers, Y, X ), !
% 16.13/16.51 greater_or_equal( X, equilibrium( Y ) ) }.
% 16.13/16.51 parent0: (16908) {G0,W13,D3,L4,V2,M4} { ! alpha3( X ), ! environment( Y )
% 16.13/16.51 , ! subpopulations( first_movers, efficient_producers, Y, X ), !
% 16.13/16.51 greater_or_equal( X, equilibrium( Y ) ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 2 ==> 2
% 16.13/16.51 3 ==> 3
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (22) {G0,W8,D3,L3,V1,M3} I { ! environment( X ), ! stable( X )
% 16.13/16.51 , in_environment( X, skol2( X ) ) }.
% 16.13/16.51 parent0: (16912) {G0,W8,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 16.13/16.51 in_environment( X, skol2( X ) ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 2 ==> 2
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (23) {G0,W20,D3,L5,V2,M5} I { ! environment( X ), ! stable( X
% 16.13/16.51 ), ! subpopulations( first_movers, efficient_producers, X, Y ), !
% 16.13/16.51 greater_or_equal( Y, skol2( X ) ), greater( growth_rate(
% 16.13/16.51 efficient_producers, Y ), growth_rate( first_movers, Y ) ) }.
% 16.13/16.51 parent0: (16913) {G0,W20,D3,L5,V2,M5} { ! environment( X ), ! stable( X )
% 16.13/16.51 , ! subpopulations( first_movers, efficient_producers, X, Y ), !
% 16.13/16.51 greater_or_equal( Y, skol2( X ) ), greater( growth_rate(
% 16.13/16.51 efficient_producers, Y ), growth_rate( first_movers, Y ) ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 2 ==> 2
% 16.13/16.51 3 ==> 3
% 16.13/16.51 4 ==> 4
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (24) {G0,W8,D3,L3,V1,M3} I { ! environment( X ), ! stable( X )
% 16.13/16.51 , in_environment( X, skol3( X ) ) }.
% 16.13/16.51 parent0: (16914) {G0,W8,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 16.13/16.51 in_environment( X, skol3( X ) ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 2 ==> 2
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (25) {G0,W9,D3,L3,V1,M3} I { ! environment( X ), ! stable( X )
% 16.13/16.51 , greater_or_equal( skol3( X ), equilibrium( X ) ) }.
% 16.13/16.51 parent0: (16915) {G0,W9,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 16.13/16.51 greater_or_equal( skol3( X ), equilibrium( X ) ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 2 ==> 2
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (26) {G0,W2,D2,L1,V0,M1} I { environment( skol4 ) }.
% 16.13/16.51 parent0: (16916) {G0,W2,D2,L1,V0,M1} { environment( skol4 ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (27) {G0,W2,D2,L1,V0,M1} I { stable( skol4 ) }.
% 16.13/16.51 parent0: (16917) {G0,W2,D2,L1,V0,M1} { stable( skol4 ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (28) {G0,W9,D3,L2,V2,M2} I { ! in_environment( skol4, X ),
% 16.13/16.51 subpopulations( first_movers, efficient_producers, skol4, skol5( Y ) )
% 16.13/16.51 }.
% 16.13/16.51 parent0: (16918) {G0,W9,D3,L2,V2,M2} { ! in_environment( skol4, X ),
% 16.13/16.51 subpopulations( first_movers, efficient_producers, skol4, skol5( Y ) )
% 16.13/16.51 }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (29) {G0,W8,D3,L2,V2,M2} I { ! in_environment( skol4, X ), !
% 16.13/16.51 outcompetes( efficient_producers, first_movers, skol5( Y ) ) }.
% 16.13/16.51 parent0: (16919) {G0,W8,D3,L2,V2,M2} { ! in_environment( skol4, X ), !
% 16.13/16.51 outcompetes( efficient_producers, first_movers, skol5( Y ) ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (30) {G0,W7,D3,L2,V1,M2} I { ! in_environment( skol4, X ),
% 16.13/16.51 greater_or_equal( skol5( X ), X ) }.
% 16.13/16.51 parent0: (16920) {G0,W7,D3,L2,V1,M2} { ! in_environment( skol4, X ),
% 16.13/16.51 greater_or_equal( skol5( X ), X ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 eqswap: (17083) {G0,W6,D2,L2,V2,M2} { ! Y = X, greater_or_equal( X, Y )
% 16.13/16.51 }.
% 16.13/16.51 parent0[0]: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, greater_or_equal( X, Y )
% 16.13/16.51 }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 eqrefl: (17084) {G0,W3,D2,L1,V1,M1} { greater_or_equal( X, X ) }.
% 16.13/16.51 parent0[0]: (17083) {G0,W6,D2,L2,V2,M2} { ! Y = X, greater_or_equal( X, Y
% 16.13/16.51 ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := X
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (31) {G1,W3,D2,L1,V1,M1} Q(4) { greater_or_equal( X, X ) }.
% 16.13/16.51 parent0: (17084) {G0,W3,D2,L1,V1,M1} { greater_or_equal( X, X ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 eqswap: (17085) {G0,W6,D2,L2,V2,M2} { ! Y = X, greater_or_equal( X, Y )
% 16.13/16.51 }.
% 16.13/16.51 parent0[0]: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, greater_or_equal( X, Y )
% 16.13/16.51 }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 resolution: (17086) {G1,W15,D2,L5,V3,M5} { greater_or_equal( Y, X ), !
% 16.13/16.51 in_environment( Z, Y ), ! in_environment( Z, X ), greater( X, Y ),
% 16.13/16.51 greater( Y, X ) }.
% 16.13/16.51 parent0[0]: (17085) {G0,W6,D2,L2,V2,M2} { ! Y = X, greater_or_equal( X, Y
% 16.13/16.51 ) }.
% 16.13/16.51 parent1[3]: (1) {G0,W15,D2,L5,V3,M5} I { ! in_environment( Z, X ), !
% 16.13/16.51 in_environment( Z, Y ), greater( Y, X ), Y = X, greater( X, Y ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := Y
% 16.13/16.51 Y := X
% 16.13/16.51 end
% 16.13/16.51 substitution1:
% 16.13/16.51 X := Y
% 16.13/16.51 Y := X
% 16.13/16.51 Z := Z
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 resolution: (17094) {G1,W15,D2,L5,V3,M5} { greater_or_equal( X, Y ),
% 16.13/16.51 greater_or_equal( X, Y ), ! in_environment( Z, X ), ! in_environment( Z,
% 16.13/16.51 Y ), greater( Y, X ) }.
% 16.13/16.51 parent0[0]: (3) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), greater_or_equal
% 16.13/16.51 ( X, Y ) }.
% 16.13/16.51 parent1[4]: (17086) {G1,W15,D2,L5,V3,M5} { greater_or_equal( Y, X ), !
% 16.13/16.51 in_environment( Z, Y ), ! in_environment( Z, X ), greater( X, Y ),
% 16.13/16.51 greater( Y, X ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 end
% 16.13/16.51 substitution1:
% 16.13/16.51 X := Y
% 16.13/16.51 Y := X
% 16.13/16.51 Z := Z
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 factor: (17097) {G1,W12,D2,L4,V3,M4} { greater_or_equal( X, Y ), !
% 16.13/16.51 in_environment( Z, X ), ! in_environment( Z, Y ), greater( Y, X ) }.
% 16.13/16.51 parent0[0, 1]: (17094) {G1,W15,D2,L5,V3,M5} { greater_or_equal( X, Y ),
% 16.13/16.51 greater_or_equal( X, Y ), ! in_environment( Z, X ), ! in_environment( Z,
% 16.13/16.51 Y ), greater( Y, X ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 Z := Z
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (41) {G1,W12,D2,L4,V3,M4} R(4,1);r(3) { greater_or_equal( X, Y
% 16.13/16.51 ), ! in_environment( Z, Y ), ! in_environment( Z, X ), greater( Y, X )
% 16.13/16.51 }.
% 16.13/16.51 parent0: (17097) {G1,W12,D2,L4,V3,M4} { greater_or_equal( X, Y ), !
% 16.13/16.51 in_environment( Z, X ), ! in_environment( Z, Y ), greater( Y, X ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 Z := Z
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 2
% 16.13/16.51 2 ==> 1
% 16.13/16.51 3 ==> 3
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 resolution: (17098) {G1,W9,D2,L3,V3,M3} { greater_or_equal( X, Y ), !
% 16.13/16.51 greater( X, Z ), ! greater( Z, Y ) }.
% 16.13/16.51 parent0[0]: (3) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), greater_or_equal
% 16.13/16.51 ( X, Y ) }.
% 16.13/16.51 parent1[2]: (0) {G0,W9,D2,L3,V3,M3} I { ! greater( X, Z ), ! greater( Z, Y
% 16.13/16.51 ), greater( X, Y ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 end
% 16.13/16.51 substitution1:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 Z := Z
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (42) {G1,W9,D2,L3,V3,M3} R(3,0) { greater_or_equal( X, Y ), !
% 16.13/16.51 greater( X, Z ), ! greater( Z, Y ) }.
% 16.13/16.51 parent0: (17098) {G1,W9,D2,L3,V3,M3} { greater_or_equal( X, Y ), ! greater
% 16.13/16.51 ( X, Z ), ! greater( Z, Y ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 Z := Z
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 0
% 16.13/16.51 1 ==> 1
% 16.13/16.51 2 ==> 2
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 eqswap: (17100) {G0,W9,D2,L3,V2,M3} { Y = X, ! greater_or_equal( X, Y ),
% 16.13/16.51 greater( X, Y ) }.
% 16.13/16.51 parent0[2]: (2) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ), greater
% 16.13/16.51 ( X, Y ), X = Y }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 resolution: (17101) {G1,W11,D3,L3,V1,M3} { X = skol5( X ), greater( skol5
% 16.13/16.51 ( X ), X ), ! in_environment( skol4, X ) }.
% 16.13/16.51 parent0[1]: (17100) {G0,W9,D2,L3,V2,M3} { Y = X, ! greater_or_equal( X, Y
% 16.13/16.51 ), greater( X, Y ) }.
% 16.13/16.51 parent1[1]: (30) {G0,W7,D3,L2,V1,M2} I { ! in_environment( skol4, X ),
% 16.13/16.51 greater_or_equal( skol5( X ), X ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := skol5( X )
% 16.13/16.51 Y := X
% 16.13/16.51 end
% 16.13/16.51 substitution1:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 eqswap: (17102) {G1,W11,D3,L3,V1,M3} { skol5( X ) = X, greater( skol5( X )
% 16.13/16.51 , X ), ! in_environment( skol4, X ) }.
% 16.13/16.51 parent0[0]: (17101) {G1,W11,D3,L3,V1,M3} { X = skol5( X ), greater( skol5
% 16.13/16.51 ( X ), X ), ! in_environment( skol4, X ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (50) {G1,W11,D3,L3,V1,M3} R(2,30) { greater( skol5( X ), X ),
% 16.13/16.51 skol5( X ) ==> X, ! in_environment( skol4, X ) }.
% 16.13/16.51 parent0: (17102) {G1,W11,D3,L3,V1,M3} { skol5( X ) = X, greater( skol5( X
% 16.13/16.51 ), X ), ! in_environment( skol4, X ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 1
% 16.13/16.51 1 ==> 0
% 16.13/16.51 2 ==> 2
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 eqswap: (17103) {G0,W9,D2,L3,V2,M3} { Y = X, ! greater_or_equal( X, Y ),
% 16.13/16.51 greater( X, Y ) }.
% 16.13/16.51 parent0[2]: (2) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ), greater
% 16.13/16.51 ( X, Y ), X = Y }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 resolution: (17104) {G1,W12,D2,L4,V3,M4} { ! greater( Y, Z ), greater( X,
% 16.13/16.51 Z ), Y = X, ! greater_or_equal( X, Y ) }.
% 16.13/16.51 parent0[0]: (0) {G0,W9,D2,L3,V3,M3} I { ! greater( X, Z ), ! greater( Z, Y
% 16.13/16.51 ), greater( X, Y ) }.
% 16.13/16.51 parent1[2]: (17103) {G0,W9,D2,L3,V2,M3} { Y = X, ! greater_or_equal( X, Y
% 16.13/16.51 ), greater( X, Y ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Z
% 16.13/16.51 Z := Y
% 16.13/16.51 end
% 16.13/16.51 substitution1:
% 16.13/16.51 X := X
% 16.13/16.51 Y := Y
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 eqswap: (17107) {G1,W12,D2,L4,V3,M4} { Y = X, ! greater( X, Z ), greater(
% 16.13/16.51 Y, Z ), ! greater_or_equal( Y, X ) }.
% 16.13/16.51 parent0[2]: (17104) {G1,W12,D2,L4,V3,M4} { ! greater( Y, Z ), greater( X,
% 16.13/16.51 Z ), Y = X, ! greater_or_equal( X, Y ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := Y
% 16.13/16.51 Y := X
% 16.13/16.51 Z := Z
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (51) {G1,W12,D2,L4,V3,M4} R(2,0) { ! greater_or_equal( X, Y )
% 16.13/16.51 , X = Y, ! greater( Y, Z ), greater( X, Z ) }.
% 16.13/16.51 parent0: (17107) {G1,W12,D2,L4,V3,M4} { Y = X, ! greater( X, Z ), greater
% 16.13/16.51 ( Y, Z ), ! greater_or_equal( Y, X ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := Y
% 16.13/16.51 Y := X
% 16.13/16.51 Z := Z
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 1
% 16.13/16.51 1 ==> 2
% 16.13/16.51 2 ==> 3
% 16.13/16.51 3 ==> 0
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 resolution: (17108) {G1,W7,D3,L2,V1,M2} { greater_or_equal( growth_rate(
% 16.13/16.51 efficient_producers, X ), zero ), alpha2( X ) }.
% 16.13/16.51 parent0[0]: (3) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), greater_or_equal
% 16.13/16.51 ( X, Y ) }.
% 16.13/16.51 parent1[1]: (8) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( growth_rate(
% 16.13/16.51 efficient_producers, X ), zero ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := growth_rate( efficient_producers, X )
% 16.13/16.51 Y := zero
% 16.13/16.51 end
% 16.13/16.51 substitution1:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (79) {G1,W7,D3,L2,V1,M2} R(8,3) { alpha2( X ),
% 16.13/16.51 greater_or_equal( growth_rate( efficient_producers, X ), zero ) }.
% 16.13/16.51 parent0: (17108) {G1,W7,D3,L2,V1,M2} { greater_or_equal( growth_rate(
% 16.13/16.51 efficient_producers, X ), zero ), alpha2( X ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := X
% 16.13/16.51 end
% 16.13/16.51 permutation0:
% 16.13/16.51 0 ==> 1
% 16.13/16.51 1 ==> 0
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 resolution: (17109) {G1,W18,D3,L5,V3,M5} { ! environment( X ), !
% 16.13/16.51 subpopulations( first_movers, Y, X, Z ), ! greater_or_equal( growth_rate
% 16.13/16.51 ( Y, Z ), zero ), outcompetes( Y, first_movers, Z ), alpha2( Z ) }.
% 16.13/16.51 parent0[3]: (5) {G0,W21,D3,L5,V4,M5} I { ! environment( T ), !
% 16.13/16.51 subpopulations( X, Y, T, Z ), ! greater_or_equal( growth_rate( Y, Z ),
% 16.13/16.51 zero ), ! greater( zero, growth_rate( X, Z ) ), outcompetes( Y, X, Z )
% 16.13/16.51 }.
% 16.13/16.51 parent1[1]: (9) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( zero,
% 16.13/16.51 growth_rate( first_movers, X ) ) }.
% 16.13/16.51 substitution0:
% 16.13/16.51 X := first_movers
% 16.13/16.51 Y := Y
% 16.13/16.51 Z := Z
% 16.13/16.51 T := X
% 16.13/16.51 end
% 16.13/16.51 substitution1:
% 16.13/16.51 X := Z
% 16.13/16.51 end
% 16.13/16.51
% 16.13/16.51 subsumption: (106) {G1,W18,D3,L5,V3,M5} R(5,9) { ! environment( X ), !
% 16.13/16.51 subpopulations( first_movers, Y, X, Z ), ! greater_or_equal( growth_rate
% 16.13/16.51 ( Y, Z ), zero ), outcompetes( Y, first_movers, Z ), alpha2( Z ) }.
% 16.13/16.51 parent0: (17109) {G1,W18,D3,L5,V3,M5} { ! environment( X ), !
% 16.13/16.51 subpopulations( first_movers, Y, X, Z ), ! greater_or_equal( gCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------