TSTP Solution File: MGT029+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : MGT029+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 21:57:44 EDT 2022
% Result : Theorem 9.23s 9.60s
% Output : Refutation 9.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT029+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Thu Jun 9 12:18:08 EDT 2022
% 0.14/0.34 % CPUTime :
% 9.23/9.60 *** allocated 10000 integers for termspace/termends
% 9.23/9.60 *** allocated 10000 integers for clauses
% 9.23/9.60 *** allocated 10000 integers for justifications
% 9.23/9.60 Bliksem 1.12
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 Automatic Strategy Selection
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 Clauses:
% 9.23/9.60
% 9.23/9.60 { ! greater( X, Z ), ! greater( Z, Y ), greater( X, Y ) }.
% 9.23/9.60 { ! in_environment( Z, X ), ! in_environment( Z, Y ), greater( Y, X ), Y =
% 9.23/9.60 X, greater( X, Y ) }.
% 9.23/9.60 { ! greater_or_equal( X, Y ), greater( X, Y ), X = Y }.
% 9.23/9.60 { ! greater( X, Y ), greater_or_equal( X, Y ) }.
% 9.23/9.60 { ! X = Y, greater_or_equal( X, Y ) }.
% 9.23/9.60 { alpha2( X ), greater( growth_rate( efficient_producers, X ), zero ) }.
% 9.23/9.60 { alpha2( X ), greater( zero, growth_rate( first_movers, X ) ) }.
% 9.23/9.60 { ! alpha2( X ), alpha1( X ), greater( growth_rate( first_movers, X ), zero
% 9.23/9.60 ) }.
% 9.23/9.60 { ! alpha2( X ), alpha1( X ), greater( zero, growth_rate(
% 9.23/9.60 efficient_producers, X ) ) }.
% 9.23/9.60 { ! alpha1( X ), alpha2( X ) }.
% 9.23/9.60 { ! greater( growth_rate( first_movers, X ), zero ), ! greater( zero,
% 9.23/9.60 growth_rate( efficient_producers, X ) ), alpha2( X ) }.
% 9.23/9.60 { ! alpha1( X ), alpha3( X ), growth_rate( first_movers, X ) = zero }.
% 9.23/9.60 { ! alpha1( X ), alpha3( X ), growth_rate( efficient_producers, X ) = zero
% 9.23/9.60 }.
% 9.23/9.60 { ! alpha3( X ), alpha1( X ) }.
% 9.23/9.60 { ! growth_rate( first_movers, X ) = zero, ! growth_rate(
% 9.23/9.60 efficient_producers, X ) = zero, alpha1( X ) }.
% 9.23/9.60 { ! alpha3( X ), ! environment( Y ), ! subpopulations( first_movers,
% 9.23/9.60 efficient_producers, Y, X ), ! greater_or_equal( X, equilibrium( Y ) ) }
% 9.23/9.60 .
% 9.23/9.60 { environment( skol1( Y ) ), alpha3( X ) }.
% 9.23/9.60 { subpopulations( first_movers, efficient_producers, skol1( X ), X ),
% 9.23/9.60 alpha3( X ) }.
% 9.23/9.60 { greater_or_equal( X, equilibrium( skol1( X ) ) ), alpha3( X ) }.
% 9.23/9.60 { ! environment( X ), ! stable( X ), in_environment( X, skol2( X ) ) }.
% 9.23/9.60 { ! environment( X ), ! stable( X ), ! subpopulations( first_movers,
% 9.23/9.60 efficient_producers, X, Y ), ! greater_or_equal( Y, skol2( X ) ), greater
% 9.23/9.60 ( growth_rate( efficient_producers, Y ), growth_rate( first_movers, Y ) )
% 9.23/9.60 }.
% 9.23/9.60 { ! environment( X ), ! stable( X ), in_environment( X, skol3( X ) ) }.
% 9.23/9.60 { ! environment( X ), ! stable( X ), greater_or_equal( skol3( X ),
% 9.23/9.60 equilibrium( X ) ) }.
% 9.23/9.60 { environment( skol4 ) }.
% 9.23/9.60 { stable( skol4 ) }.
% 9.23/9.60 { ! in_environment( skol4, X ), subpopulations( first_movers,
% 9.23/9.60 efficient_producers, skol4, skol5( Y ) ) }.
% 9.23/9.60 { ! in_environment( skol4, X ), ! greater( growth_rate( efficient_producers
% 9.23/9.60 , skol5( Y ) ), zero ), ! greater( zero, growth_rate( first_movers, skol5
% 9.23/9.60 ( Y ) ) ) }.
% 9.23/9.60 { ! in_environment( skol4, X ), greater_or_equal( skol5( X ), X ) }.
% 9.23/9.60
% 9.23/9.60 percentage equality = 0.094595, percentage horn = 0.607143
% 9.23/9.60 This is a problem with some equality
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 Options Used:
% 9.23/9.60
% 9.23/9.60 useres = 1
% 9.23/9.60 useparamod = 1
% 9.23/9.60 useeqrefl = 1
% 9.23/9.60 useeqfact = 1
% 9.23/9.60 usefactor = 1
% 9.23/9.60 usesimpsplitting = 0
% 9.23/9.60 usesimpdemod = 5
% 9.23/9.60 usesimpres = 3
% 9.23/9.60
% 9.23/9.60 resimpinuse = 1000
% 9.23/9.60 resimpclauses = 20000
% 9.23/9.60 substype = eqrewr
% 9.23/9.60 backwardsubs = 1
% 9.23/9.60 selectoldest = 5
% 9.23/9.60
% 9.23/9.60 litorderings [0] = split
% 9.23/9.60 litorderings [1] = extend the termordering, first sorting on arguments
% 9.23/9.60
% 9.23/9.60 termordering = kbo
% 9.23/9.60
% 9.23/9.60 litapriori = 0
% 9.23/9.60 termapriori = 1
% 9.23/9.60 litaposteriori = 0
% 9.23/9.60 termaposteriori = 0
% 9.23/9.60 demodaposteriori = 0
% 9.23/9.60 ordereqreflfact = 0
% 9.23/9.60
% 9.23/9.60 litselect = negord
% 9.23/9.60
% 9.23/9.60 maxweight = 15
% 9.23/9.60 maxdepth = 30000
% 9.23/9.60 maxlength = 115
% 9.23/9.60 maxnrvars = 195
% 9.23/9.60 excuselevel = 1
% 9.23/9.60 increasemaxweight = 1
% 9.23/9.60
% 9.23/9.60 maxselected = 10000000
% 9.23/9.60 maxnrclauses = 10000000
% 9.23/9.60
% 9.23/9.60 showgenerated = 0
% 9.23/9.60 showkept = 0
% 9.23/9.60 showselected = 0
% 9.23/9.60 showdeleted = 0
% 9.23/9.60 showresimp = 1
% 9.23/9.60 showstatus = 2000
% 9.23/9.60
% 9.23/9.60 prologoutput = 0
% 9.23/9.60 nrgoals = 5000000
% 9.23/9.60 totalproof = 1
% 9.23/9.60
% 9.23/9.60 Symbols occurring in the translation:
% 9.23/9.60
% 9.23/9.60 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 9.23/9.60 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 9.23/9.60 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 9.23/9.60 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.23/9.60 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.23/9.60 greater [38, 2] (w:1, o:57, a:1, s:1, b:0),
% 9.23/9.60 in_environment [42, 2] (w:1, o:58, a:1, s:1, b:0),
% 9.23/9.60 greater_or_equal [43, 2] (w:1, o:59, a:1, s:1, b:0),
% 9.23/9.60 environment [45, 1] (w:1, o:23, a:1, s:1, b:0),
% 9.23/9.60 first_movers [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 9.23/9.60 efficient_producers [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 9.23/9.60 subpopulations [48, 4] (w:1, o:61, a:1, s:1, b:0),
% 9.23/9.60 equilibrium [49, 1] (w:1, o:24, a:1, s:1, b:0),
% 9.23/9.60 growth_rate [50, 2] (w:1, o:60, a:1, s:1, b:0),
% 9.23/9.60 zero [51, 0] (w:1, o:15, a:1, s:1, b:0),
% 9.23/9.60 stable [52, 1] (w:1, o:25, a:1, s:1, b:0),
% 9.23/9.60 alpha1 [54, 1] (w:1, o:26, a:1, s:1, b:1),
% 9.23/9.60 alpha2 [55, 1] (w:1, o:27, a:1, s:1, b:1),
% 9.23/9.60 alpha3 [56, 1] (w:1, o:28, a:1, s:1, b:1),
% 9.23/9.60 skol1 [57, 1] (w:1, o:29, a:1, s:1, b:1),
% 9.23/9.60 skol2 [58, 1] (w:1, o:30, a:1, s:1, b:1),
% 9.23/9.60 skol3 [59, 1] (w:1, o:31, a:1, s:1, b:1),
% 9.23/9.60 skol4 [60, 0] (w:1, o:17, a:1, s:1, b:1),
% 9.23/9.60 skol5 [61, 1] (w:1, o:32, a:1, s:1, b:1).
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 Starting Search:
% 9.23/9.60
% 9.23/9.60 *** allocated 15000 integers for clauses
% 9.23/9.60 *** allocated 22500 integers for clauses
% 9.23/9.60 *** allocated 33750 integers for clauses
% 9.23/9.60 *** allocated 15000 integers for termspace/termends
% 9.23/9.60 *** allocated 50625 integers for clauses
% 9.23/9.60 *** allocated 22500 integers for termspace/termends
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60 *** allocated 75937 integers for clauses
% 9.23/9.60 *** allocated 33750 integers for termspace/termends
% 9.23/9.60 *** allocated 113905 integers for clauses
% 9.23/9.60
% 9.23/9.60 Intermediate Status:
% 9.23/9.60 Generated: 22772
% 9.23/9.60 Kept: 2001
% 9.23/9.60 Inuse: 227
% 9.23/9.60 Deleted: 32
% 9.23/9.60 Deletedinuse: 3
% 9.23/9.60
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60 *** allocated 50625 integers for termspace/termends
% 9.23/9.60 *** allocated 170857 integers for clauses
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60 *** allocated 75937 integers for termspace/termends
% 9.23/9.60
% 9.23/9.60 Intermediate Status:
% 9.23/9.60 Generated: 151912
% 9.23/9.60 Kept: 4004
% 9.23/9.60 Inuse: 605
% 9.23/9.60 Deleted: 73
% 9.23/9.60 Deletedinuse: 19
% 9.23/9.60
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60 *** allocated 256285 integers for clauses
% 9.23/9.60 *** allocated 113905 integers for termspace/termends
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 Intermediate Status:
% 9.23/9.60 Generated: 551718
% 9.23/9.60 Kept: 6116
% 9.23/9.60 Inuse: 1255
% 9.23/9.60 Deleted: 182
% 9.23/9.60 Deletedinuse: 62
% 9.23/9.60
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60 *** allocated 384427 integers for clauses
% 9.23/9.60 *** allocated 170857 integers for termspace/termends
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 Intermediate Status:
% 9.23/9.60 Generated: 576657
% 9.23/9.60 Kept: 8189
% 9.23/9.60 Inuse: 1293
% 9.23/9.60 Deleted: 252
% 9.23/9.60 Deletedinuse: 130
% 9.23/9.60
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 Intermediate Status:
% 9.23/9.60 Generated: 687313
% 9.23/9.60 Kept: 10197
% 9.23/9.60 Inuse: 1460
% 9.23/9.60 Deleted: 310
% 9.23/9.60 Deletedinuse: 135
% 9.23/9.60
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60 *** allocated 576640 integers for clauses
% 9.23/9.60 *** allocated 256285 integers for termspace/termends
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 Intermediate Status:
% 9.23/9.60 Generated: 753888
% 9.23/9.60 Kept: 12252
% 9.23/9.60 Inuse: 1559
% 9.23/9.60 Deleted: 492
% 9.23/9.60 Deletedinuse: 206
% 9.23/9.60
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 Intermediate Status:
% 9.23/9.60 Generated: 781977
% 9.23/9.60 Kept: 14274
% 9.23/9.60 Inuse: 1587
% 9.23/9.60 Deleted: 626
% 9.23/9.60 Deletedinuse: 329
% 9.23/9.60
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60 *** allocated 864960 integers for clauses
% 9.23/9.60 *** allocated 384427 integers for termspace/termends
% 9.23/9.60
% 9.23/9.60 Intermediate Status:
% 9.23/9.60 Generated: 798119
% 9.23/9.60 Kept: 16303
% 9.23/9.60 Inuse: 1619
% 9.23/9.60 Deleted: 739
% 9.23/9.60 Deletedinuse: 439
% 9.23/9.60
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60 Resimplifying inuse:
% 9.23/9.60 Done
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 Intermediate Status:
% 9.23/9.60 Generated: 814615
% 9.23/9.60 Kept: 18338
% 9.23/9.60 Inuse: 1637
% 9.23/9.60 Deleted: 740
% 9.23/9.60 Deletedinuse: 439
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 Bliksems!, er is een bewijs:
% 9.23/9.60 % SZS status Theorem
% 9.23/9.60 % SZS output start Refutation
% 9.23/9.60
% 9.23/9.60 (0) {G0,W9,D2,L3,V3,M3} I { ! greater( X, Z ), ! greater( Z, Y ), greater(
% 9.23/9.60 X, Y ) }.
% 9.23/9.60 (1) {G0,W15,D2,L5,V3,M5} I { ! in_environment( Z, X ), ! in_environment( Z
% 9.23/9.60 , Y ), greater( Y, X ), Y = X, greater( X, Y ) }.
% 9.23/9.60 (2) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ), greater( X, Y ), X
% 9.23/9.60 = Y }.
% 9.23/9.60 (3) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), greater_or_equal( X, Y ) }.
% 9.23/9.60 (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, greater_or_equal( X, Y ) }.
% 9.23/9.60 (5) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( growth_rate(
% 9.23/9.60 efficient_producers, X ), zero ) }.
% 9.23/9.60 (6) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( zero, growth_rate(
% 9.23/9.60 first_movers, X ) ) }.
% 9.23/9.60 (7) {G0,W9,D3,L3,V1,M3} I { ! alpha2( X ), alpha1( X ), greater(
% 9.23/9.60 growth_rate( first_movers, X ), zero ) }.
% 9.23/9.60 (8) {G0,W9,D3,L3,V1,M3} I { ! alpha2( X ), alpha1( X ), greater( zero,
% 9.23/9.60 growth_rate( efficient_producers, X ) ) }.
% 9.23/9.60 (11) {G0,W9,D3,L3,V1,M3} I { ! alpha1( X ), alpha3( X ), growth_rate(
% 9.23/9.60 first_movers, X ) ==> zero }.
% 9.23/9.60 (12) {G0,W9,D3,L3,V1,M3} I { ! alpha1( X ), alpha3( X ), growth_rate(
% 9.23/9.60 efficient_producers, X ) ==> zero }.
% 9.23/9.60 (13) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha1( X ) }.
% 9.23/9.60 (15) {G0,W13,D3,L4,V2,M4} I { ! alpha3( X ), ! environment( Y ), !
% 9.23/9.60 subpopulations( first_movers, efficient_producers, Y, X ), !
% 9.23/9.60 greater_or_equal( X, equilibrium( Y ) ) }.
% 9.23/9.60 (19) {G0,W8,D3,L3,V1,M3} I { ! environment( X ), ! stable( X ),
% 9.23/9.60 in_environment( X, skol2( X ) ) }.
% 9.23/9.60 (20) {G0,W20,D3,L5,V2,M5} I { ! environment( X ), ! stable( X ), !
% 9.23/9.60 subpopulations( first_movers, efficient_producers, X, Y ), !
% 9.23/9.60 greater_or_equal( Y, skol2( X ) ), greater( growth_rate(
% 9.23/9.60 efficient_producers, Y ), growth_rate( first_movers, Y ) ) }.
% 9.23/9.60 (21) {G0,W8,D3,L3,V1,M3} I { ! environment( X ), ! stable( X ),
% 9.23/9.60 in_environment( X, skol3( X ) ) }.
% 9.23/9.60 (22) {G0,W9,D3,L3,V1,M3} I { ! environment( X ), ! stable( X ),
% 9.23/9.60 greater_or_equal( skol3( X ), equilibrium( X ) ) }.
% 9.23/9.60 (23) {G0,W2,D2,L1,V0,M1} I { environment( skol4 ) }.
% 9.23/9.60 (24) {G0,W2,D2,L1,V0,M1} I { stable( skol4 ) }.
% 9.23/9.60 (25) {G0,W9,D3,L2,V2,M2} I { ! in_environment( skol4, X ), subpopulations(
% 9.23/9.60 first_movers, efficient_producers, skol4, skol5( Y ) ) }.
% 9.23/9.60 (26) {G0,W15,D4,L3,V2,M3} I { ! in_environment( skol4, X ), ! greater(
% 9.23/9.60 growth_rate( efficient_producers, skol5( Y ) ), zero ), ! greater( zero,
% 9.23/9.60 growth_rate( first_movers, skol5( Y ) ) ) }.
% 9.23/9.60 (27) {G0,W7,D3,L2,V1,M2} I { ! in_environment( skol4, X ), greater_or_equal
% 9.23/9.60 ( skol5( X ), X ) }.
% 9.23/9.60 (28) {G1,W3,D2,L1,V1,M1} Q(4) { greater_or_equal( X, X ) }.
% 9.23/9.60 (38) {G1,W12,D2,L4,V3,M4} R(4,1);r(3) { greater_or_equal( X, Y ), !
% 9.23/9.60 in_environment( Z, Y ), ! in_environment( Z, X ), greater( Y, X ) }.
% 9.23/9.60 (39) {G1,W9,D2,L3,V3,M3} R(3,0) { greater_or_equal( X, Y ), ! greater( X, Z
% 9.23/9.60 ), ! greater( Z, Y ) }.
% 9.23/9.60 (47) {G1,W11,D3,L3,V1,M3} R(2,27) { greater( skol5( X ), X ), skol5( X )
% 9.23/9.60 ==> X, ! in_environment( skol4, X ) }.
% 9.23/9.60 (48) {G1,W12,D2,L4,V3,M4} R(2,0) { ! greater_or_equal( X, Y ), X = Y, !
% 9.23/9.60 greater( Y, Z ), greater( X, Z ) }.
% 9.23/9.60 (106) {G1,W9,D3,L3,V1,M3} R(7,3) { ! alpha2( X ), alpha1( X ),
% 9.23/9.60 greater_or_equal( growth_rate( first_movers, X ), zero ) }.
% 9.23/9.60 (229) {G1,W4,D3,L1,V0,M1} R(21,23);r(24) { in_environment( skol4, skol3(
% 9.23/9.60 skol4 ) ) }.
% 9.23/9.60 (233) {G2,W6,D4,L1,V0,M1} R(229,27) { greater_or_equal( skol5( skol3( skol4
% 9.23/9.60 ) ), skol3( skol4 ) ) }.
% 9.23/9.60 (256) {G1,W4,D3,L1,V0,M1} R(19,23);r(24) { in_environment( skol4, skol2(
% 9.23/9.60 skol4 ) ) }.
% 9.23/9.60 (260) {G2,W6,D4,L1,V0,M1} R(256,27) { greater_or_equal( skol5( skol2( skol4
% 9.23/9.60 ) ), skol2( skol4 ) ) }.
% 9.23/9.60 (262) {G2,W11,D3,L3,V1,M3} P(2,256) { in_environment( skol4, X ), !
% 9.23/9.60 greater_or_equal( skol2( skol4 ), X ), greater( skol2( skol4 ), X ) }.
% 9.23/9.60 (263) {G2,W11,D3,L3,V1,M3} P(2,256) { in_environment( skol4, X ), !
% 9.23/9.60 greater_or_equal( X, skol2( skol4 ) ), greater( X, skol2( skol4 ) ) }.
% 9.23/9.60 (264) {G3,W12,D4,L2,V0,M2} R(260,2) { greater( skol5( skol2( skol4 ) ),
% 9.23/9.60 skol2( skol4 ) ), skol5( skol2( skol4 ) ) ==> skol2( skol4 ) }.
% 9.23/9.60 (265) {G3,W14,D4,L3,V1,M3} P(2,260) { greater_or_equal( X, skol2( skol4 ) )
% 9.23/9.60 , ! greater_or_equal( skol5( skol2( skol4 ) ), X ), greater( skol5( skol2
% 9.23/9.60 ( skol4 ) ), X ) }.
% 9.23/9.60 (308) {G2,W12,D2,L4,V3,M4} R(39,2) { greater_or_equal( X, Y ), ! greater( Z
% 9.23/9.60 , Y ), ! greater_or_equal( X, Z ), X = Z }.
% 9.23/9.60 (309) {G2,W12,D2,L4,V3,M4} R(39,2) { greater_or_equal( X, Y ), ! greater( X
% 9.23/9.60 , Z ), ! greater_or_equal( Z, Y ), Z = Y }.
% 9.23/9.60 (313) {G2,W6,D3,L1,V1,M1} R(25,256) { subpopulations( first_movers,
% 9.23/9.60 efficient_producers, skol4, skol5( X ) ) }.
% 9.23/9.60 (334) {G3,W8,D3,L2,V1,M2} R(15,313);r(23) { ! alpha3( skol5( X ) ), !
% 9.23/9.60 greater_or_equal( skol5( X ), equilibrium( skol4 ) ) }.
% 9.23/9.60 (347) {G1,W11,D3,L3,V1,M3} R(15,23) { ! alpha3( X ), ! subpopulations(
% 9.23/9.60 first_movers, efficient_producers, skol4, X ), ! greater_or_equal( X,
% 9.23/9.60 equilibrium( skol4 ) ) }.
% 9.23/9.60 (357) {G4,W11,D3,L3,V2,M3} R(334,39) { ! alpha3( skol5( X ) ), ! greater(
% 9.23/9.60 skol5( X ), Y ), ! greater( Y, equilibrium( skol4 ) ) }.
% 9.23/9.60 (413) {G1,W16,D3,L3,V1,M3} R(20,23);r(24) { ! subpopulations( first_movers
% 9.23/9.60 , efficient_producers, skol4, X ), ! greater_or_equal( X, skol2( skol4 )
% 9.23/9.60 ), greater( growth_rate( efficient_producers, X ), growth_rate(
% 9.23/9.60 first_movers, X ) ) }.
% 9.23/9.60 (485) {G1,W5,D3,L1,V0,M1} R(22,23);r(24) { greater_or_equal( skol3( skol4 )
% 9.23/9.60 , equilibrium( skol4 ) ) }.
% 9.23/9.60 (493) {G2,W10,D3,L2,V0,M2} R(485,2) { greater( skol3( skol4 ), equilibrium
% 9.23/9.60 ( skol4 ) ), skol3( skol4 ) ==> equilibrium( skol4 ) }.
% 9.23/9.60 (494) {G2,W12,D3,L3,V1,M3} P(2,485) { greater_or_equal( X, equilibrium(
% 9.23/9.60 skol4 ) ), ! greater_or_equal( skol3( skol4 ), X ), greater( skol3( skol4
% 9.23/9.60 ), X ) }.
% 9.23/9.60 (495) {G2,W12,D3,L3,V1,M3} P(2,485) { greater_or_equal( X, equilibrium(
% 9.23/9.60 skol4 ) ), ! greater_or_equal( X, skol3( skol4 ) ), greater( X, skol3(
% 9.23/9.60 skol4 ) ) }.
% 9.23/9.60 (497) {G2,W12,D3,L3,V1,M3} P(2,485) { greater_or_equal( skol3( skol4 ), X )
% 9.23/9.60 , ! greater_or_equal( X, equilibrium( skol4 ) ), greater( X, equilibrium
% 9.23/9.60 ( skol4 ) ) }.
% 9.23/9.60 (529) {G2,W12,D4,L2,V1,M2} R(26,256) { ! greater( growth_rate(
% 9.23/9.60 efficient_producers, skol5( X ) ), zero ), ! greater( zero, growth_rate(
% 9.23/9.60 first_movers, skol5( X ) ) ) }.
% 9.23/9.60 (530) {G1,W6,D3,L2,V2,M2} R(26,5);r(6) { ! in_environment( skol4, X ),
% 9.23/9.60 alpha2( skol5( Y ) ) }.
% 9.23/9.60 (537) {G1,W12,D3,L4,V2,M4} P(12,26);d(11);f { ! in_environment( skol4, Y )
% 9.23/9.60 , ! greater( zero, zero ), ! alpha1( skol5( X ) ), alpha3( skol5( X ) )
% 9.23/9.60 }.
% 9.23/9.60 (557) {G2,W3,D3,L1,V1,M1} R(530,256) { alpha2( skol5( X ) ) }.
% 9.23/9.60 (561) {G3,W9,D4,L2,V1,M2} R(557,8) { alpha1( skol5( X ) ), greater( zero,
% 9.23/9.60 growth_rate( efficient_producers, skol5( X ) ) ) }.
% 9.23/9.60 (562) {G3,W9,D4,L2,V1,M2} R(557,7) { alpha1( skol5( X ) ), greater(
% 9.23/9.60 growth_rate( first_movers, skol5( X ) ), zero ) }.
% 9.23/9.60 (563) {G3,W9,D4,L2,V1,M2} R(106,557) { alpha1( skol5( X ) ),
% 9.23/9.60 greater_or_equal( growth_rate( first_movers, skol5( X ) ), zero ) }.
% 9.23/9.60 (567) {G2,W12,D3,L3,V1,M3} R(106,5) { alpha1( X ), greater_or_equal(
% 9.23/9.60 growth_rate( first_movers, X ), zero ), greater( growth_rate(
% 9.23/9.60 efficient_producers, X ), zero ) }.
% 9.23/9.60 (569) {G2,W12,D3,L3,V1,M3} R(106,6) { alpha1( X ), greater_or_equal(
% 9.23/9.60 growth_rate( first_movers, X ), zero ), greater( zero, growth_rate(
% 9.23/9.60 first_movers, X ) ) }.
% 9.23/9.60 (640) {G4,W12,D4,L3,V2,M3} R(561,0) { alpha1( skol5( X ) ), ! greater(
% 9.23/9.60 growth_rate( efficient_producers, skol5( X ) ), Y ), greater( zero, Y )
% 9.23/9.60 }.
% 9.23/9.60 (657) {G4,W12,D4,L3,V2,M3} R(562,0) { alpha1( skol5( X ) ), ! greater( Y,
% 9.23/9.60 growth_rate( first_movers, skol5( X ) ) ), greater( Y, zero ) }.
% 9.23/9.60 (672) {G3,W9,D3,L2,V0,M2} P(493,229) { in_environment( skol4, equilibrium(
% 9.23/9.60 skol4 ) ), greater( skol3( skol4 ), equilibrium( skol4 ) ) }.
% 9.23/9.60 (679) {G4,W12,D3,L3,V1,M3} R(672,39) { in_environment( skol4, equilibrium(
% 9.23/9.60 skol4 ) ), greater_or_equal( X, equilibrium( skol4 ) ), ! greater( X,
% 9.23/9.60 skol3( skol4 ) ) }.
% 9.23/9.60 (681) {G4,W12,D3,L3,V1,M3} R(672,0) { in_environment( skol4, equilibrium(
% 9.23/9.60 skol4 ) ), ! greater( X, skol3( skol4 ) ), greater( X, equilibrium( skol4
% 9.23/9.60 ) ) }.
% 9.23/9.60 (686) {G5,W12,D3,L3,V1,M3} P(2,672);r(681) { in_environment( skol4,
% 9.23/9.60 equilibrium( skol4 ) ), greater( X, equilibrium( skol4 ) ), !
% 9.23/9.60 greater_or_equal( X, skol3( skol4 ) ) }.
% 9.23/9.60 (915) {G2,W11,D3,L3,V1,M3} R(38,256) { greater_or_equal( X, skol2( skol4 )
% 9.23/9.60 ), ! in_environment( skol4, X ), greater( skol2( skol4 ), X ) }.
% 9.23/9.60 (916) {G2,W11,D3,L3,V1,M3} R(38,256) { greater_or_equal( skol2( skol4 ), X
% 9.23/9.60 ), ! in_environment( skol4, X ), greater( X, skol2( skol4 ) ) }.
% 9.23/9.60 (1183) {G3,W12,D3,L3,V1,M3} P(47,313) { subpopulations( first_movers,
% 9.23/9.60 efficient_producers, skol4, X ), greater( skol5( X ), X ), !
% 9.23/9.60 in_environment( skol4, X ) }.
% 9.23/9.60 (1267) {G2,W15,D2,L5,V3,M5} R(48,2) { ! greater_or_equal( X, Y ), X = Y,
% 9.23/9.60 greater( X, Z ), ! greater_or_equal( Y, Z ), Y = Z }.
% 9.23/9.60 (1297) {G3,W12,D2,L4,V2,M4} E(1267);r(4) { ! X = Y, Y = X, greater( Y, X )
% 9.23/9.60 , ! greater_or_equal( X, X ) }.
% 9.23/9.60 (1770) {G5,W12,D3,L3,V1,M3} R(357,672) { ! alpha3( skol5( X ) ), ! greater
% 9.23/9.60 ( skol5( X ), skol3( skol4 ) ), in_environment( skol4, equilibrium( skol4
% 9.23/9.60 ) ) }.
% 9.23/9.60 (1771) {G5,W13,D3,L3,V1,M3} R(357,493) { ! alpha3( skol5( X ) ), ! greater
% 9.23/9.60 ( skol5( X ), skol3( skol4 ) ), skol3( skol4 ) ==> equilibrium( skol4 )
% 9.23/9.60 }.
% 9.23/9.60 (1785) {G3,W10,D3,L2,V0,M2} R(915,229) { greater_or_equal( skol3( skol4 ),
% 9.23/9.60 skol2( skol4 ) ), greater( skol2( skol4 ), skol3( skol4 ) ) }.
% 9.23/9.60 (1786) {G3,W11,D3,L3,V1,M3} R(915,3) { greater_or_equal( X, skol2( skol4 )
% 9.23/9.60 ), ! in_environment( skol4, X ), greater_or_equal( skol2( skol4 ), X )
% 9.23/9.60 }.
% 9.23/9.60 (1792) {G4,W10,D3,L2,V0,M2} R(1785,3) { greater_or_equal( skol3( skol4 ),
% 9.23/9.60 skol2( skol4 ) ), greater_or_equal( skol2( skol4 ), skol3( skol4 ) ) }.
% 9.23/9.60 (1795) {G5,W15,D3,L3,V0,M3} R(1792,2) { greater_or_equal( skol2( skol4 ),
% 9.23/9.60 skol3( skol4 ) ), greater( skol3( skol4 ), skol2( skol4 ) ), skol3( skol4
% 9.23/9.60 ) ==> skol2( skol4 ) }.
% 9.23/9.60 (1804) {G3,W10,D3,L2,V0,M2} R(916,229) { greater_or_equal( skol2( skol4 ),
% 9.23/9.60 skol3( skol4 ) ), greater( skol3( skol4 ), skol2( skol4 ) ) }.
% 9.23/9.60 (1808) {G4,W13,D3,L3,V1,M3} R(1804,39) { greater_or_equal( skol2( skol4 ),
% 9.23/9.60 skol3( skol4 ) ), greater_or_equal( X, skol2( skol4 ) ), ! greater( X,
% 9.23/9.60 skol3( skol4 ) ) }.
% 9.23/9.60 (1810) {G4,W13,D3,L3,V1,M3} R(1804,0) { greater_or_equal( skol2( skol4 ),
% 9.23/9.60 skol3( skol4 ) ), ! greater( X, skol3( skol4 ) ), greater( X, skol2(
% 9.23/9.60 skol4 ) ) }.
% 9.23/9.60 (1872) {G2,W11,D3,L3,V1,M3} R(347,3) { ! alpha3( X ), ! subpopulations(
% 9.23/9.60 first_movers, efficient_producers, skol4, X ), ! greater( X, equilibrium
% 9.23/9.60 ( skol4 ) ) }.
% 9.23/9.60 (1878) {G3,W12,D3,L3,V1,M3} R(262,915);f { ! greater_or_equal( skol2( skol4
% 9.23/9.60 ), X ), greater( skol2( skol4 ), X ), greater_or_equal( X, skol2( skol4
% 9.23/9.60 ) ) }.
% 9.23/9.60 (1895) {G3,W12,D3,L3,V1,M3} R(263,916);f { ! greater_or_equal( X, skol2(
% 9.23/9.60 skol4 ) ), greater( X, skol2( skol4 ) ), greater_or_equal( skol2( skol4 )
% 9.23/9.60 , X ) }.
% 9.23/9.60 (1985) {G3,W15,D3,L4,V2,M4} P(308,485) { greater_or_equal( X, equilibrium(
% 9.23/9.60 skol4 ) ), greater_or_equal( X, Y ), ! greater( skol3( skol4 ), Y ), !
% 9.23/9.60 greater_or_equal( X, skol3( skol4 ) ) }.
% 9.23/9.60 (1998) {G4,W13,D3,L3,V1,M3} F(1985) { greater_or_equal( X, equilibrium(
% 9.23/9.60 skol4 ) ), ! greater( skol3( skol4 ), equilibrium( skol4 ) ), !
% 9.23/9.60 greater_or_equal( X, skol3( skol4 ) ) }.
% 9.23/9.60 (2010) {G3,W15,D3,L4,V2,M4} P(309,485) { greater_or_equal( skol3( skol4 ),
% 9.23/9.60 X ), greater_or_equal( Y, X ), ! greater( Y, equilibrium( skol4 ) ), !
% 9.23/9.60 greater_or_equal( equilibrium( skol4 ), X ) }.
% 9.23/9.60 (2024) {G4,W13,D3,L3,V1,M3} F(2010) { greater_or_equal( skol3( skol4 ), X )
% 9.23/9.60 , ! greater( skol3( skol4 ), equilibrium( skol4 ) ), ! greater_or_equal(
% 9.23/9.60 equilibrium( skol4 ), X ) }.
% 9.23/9.60 (2297) {G4,W9,D2,L3,V2,M3} S(1297);r(28) { ! X = Y, Y = X, greater( Y, X )
% 9.23/9.60 }.
% 9.23/9.60 (2349) {G5,W12,D2,L4,V3,M4} R(2297,0) { ! X = Y, Y = X, ! greater( Z, Y ),
% 9.23/9.60 greater( Z, X ) }.
% 9.23/9.60 (2690) {G6,W14,D4,L3,V0,M3} R(1770,47);r(229) { ! alpha3( skol5( skol3(
% 9.23/9.60 skol4 ) ) ), in_environment( skol4, equilibrium( skol4 ) ), skol5( skol3
% 9.23/9.60 ( skol4 ) ) ==> skol3( skol4 ) }.
% 9.23/9.60 (2692) {G6,W14,D4,L3,V0,M3} R(1183,1770);r(229) { subpopulations(
% 9.23/9.60 first_movers, efficient_producers, skol4, skol3( skol4 ) ), ! alpha3(
% 9.23/9.60 skol5( skol3( skol4 ) ) ), in_environment( skol4, equilibrium( skol4 ) )
% 9.23/9.60 }.
% 9.23/9.60 (2763) {G5,W14,D3,L3,V0,M3} R(679,1878);r(1792) { in_environment( skol4,
% 9.23/9.60 equilibrium( skol4 ) ), greater_or_equal( skol2( skol4 ), equilibrium(
% 9.23/9.60 skol4 ) ), greater_or_equal( skol3( skol4 ), skol2( skol4 ) ) }.
% 9.23/9.60 (2785) {G6,W10,D4,L2,V0,M2} R(686,233) { in_environment( skol4, equilibrium
% 9.23/9.60 ( skol4 ) ), greater( skol5( skol3( skol4 ) ), equilibrium( skol4 ) ) }.
% 9.23/9.60 (2789) {G7,W8,D4,L2,V0,M2} R(2785,1872);d(2690);r(2692) { in_environment(
% 9.23/9.60 skol4, equilibrium( skol4 ) ), ! alpha3( skol5( skol3( skol4 ) ) ) }.
% 9.23/9.60 (2814) {G8,W10,D4,L2,V0,M2} R(2789,27) { ! alpha3( skol5( skol3( skol4 ) )
% 9.23/9.60 ), greater_or_equal( skol5( equilibrium( skol4 ) ), equilibrium( skol4 )
% 9.23/9.60 ) }.
% 9.23/9.60 (2900) {G5,W13,D3,L3,V1,M3} R(495,357);r(334) { ! greater_or_equal( skol5(
% 9.23/9.60 X ), skol3( skol4 ) ), ! alpha3( skol5( X ) ), ! greater( skol3( skol4 )
% 9.23/9.60 , equilibrium( skol4 ) ) }.
% 9.23/9.60 (3002) {G2,W9,D3,L3,V1,M3} R(537,256) { ! greater( zero, zero ), ! alpha1(
% 9.23/9.60 skol5( X ) ), alpha3( skol5( X ) ) }.
% 9.23/9.60 (3080) {G4,W12,D4,L3,V1,M3} R(3002,563) { ! greater( zero, zero ), alpha3(
% 9.23/9.60 skol5( X ) ), greater_or_equal( growth_rate( first_movers, skol5( X ) ),
% 9.23/9.60 zero ) }.
% 9.23/9.60 (3081) {G3,W12,D3,L4,V2,M4} R(3002,0) { ! alpha1( skol5( X ) ), alpha3(
% 9.23/9.60 skol5( X ) ), ! greater( zero, Y ), ! greater( Y, zero ) }.
% 9.23/9.60 (3702) {G6,W13,D3,L3,V1,M3} R(2900,493) { ! greater_or_equal( skol5( X ),
% 9.23/9.60 skol3( skol4 ) ), ! alpha3( skol5( X ) ), skol3( skol4 ) ==> equilibrium
% 9.23/9.60 ( skol4 ) }.
% 9.23/9.60 (3703) {G6,W9,D4,L2,V0,M2} R(2900,233) { ! alpha3( skol5( skol3( skol4 ) )
% 9.23/9.60 ), ! greater( skol3( skol4 ), equilibrium( skol4 ) ) }.
% 9.23/9.60 (3732) {G7,W9,D4,L2,V0,M2} R(3703,493) { ! alpha3( skol5( skol3( skol4 ) )
% 9.23/9.60 ), skol3( skol4 ) ==> equilibrium( skol4 ) }.
% 9.23/9.60 (3736) {G8,W12,D4,L3,V1,M3} R(3703,0);d(3732) { ! alpha3( skol5( skol3(
% 9.23/9.60 skol4 ) ) ), ! greater( X, equilibrium( skol4 ) ), ! greater( equilibrium
% 9.23/9.60 ( skol4 ), X ) }.
% 9.23/9.60 (3739) {G9,W12,D4,L3,V1,M3} P(2297,3703);d(3732);r(3736) { ! alpha3( skol5
% 9.23/9.60 ( skol3( skol4 ) ) ), ! equilibrium( skol4 ) = X, ! greater( equilibrium
% 9.23/9.60 ( skol4 ), X ) }.
% 9.23/9.60 (3751) {G10,W9,D4,L2,V0,M2} Q(3739) { ! alpha3( skol5( skol3( skol4 ) ) ),
% 9.23/9.60 ! greater( equilibrium( skol4 ), equilibrium( skol4 ) ) }.
% 9.23/9.60 (3796) {G11,W12,D4,L3,V1,M3} R(3751,2349);r(2297) { ! alpha3( skol5( skol3
% 9.23/9.60 ( skol4 ) ) ), ! equilibrium( skol4 ) = X, X = equilibrium( skol4 ) }.
% 9.23/9.60 (3874) {G12,W15,D4,L4,V2,M4} P(3796,334) { ! alpha3( skol5( Y ) ), !
% 9.23/9.60 greater_or_equal( skol5( Y ), X ), ! alpha3( skol5( skol3( skol4 ) ) ), !
% 9.23/9.60 equilibrium( skol4 ) = X }.
% 9.23/9.60 (3875) {G13,W13,D4,L3,V1,M3} F(3874);d(3732) { ! alpha3( skol5( skol3(
% 9.23/9.60 skol4 ) ) ), ! equilibrium( skol4 ) = X, ! greater_or_equal( skol5(
% 9.23/9.60 equilibrium( skol4 ) ), X ) }.
% 9.23/9.60 (3876) {G14,W4,D4,L1,V0,M1} Q(3875);r(2814) { ! alpha3( skol5( skol3( skol4
% 9.23/9.60 ) ) ) }.
% 9.23/9.60 (3877) {G15,W10,D5,L2,V0,M2} R(3876,3080) { ! greater( zero, zero ),
% 9.23/9.60 greater_or_equal( growth_rate( first_movers, skol5( skol3( skol4 ) ) ),
% 9.23/9.60 zero ) }.
% 9.23/9.60 (3886) {G15,W7,D4,L2,V0,M2} R(3876,3002) { ! greater( zero, zero ), !
% 9.23/9.60 alpha1( skol5( skol3( skol4 ) ) ) }.
% 9.23/9.60 (3887) {G15,W11,D5,L2,V0,M2} R(3876,12) { ! alpha1( skol5( skol3( skol4 ) )
% 9.23/9.60 ), growth_rate( efficient_producers, skol5( skol3( skol4 ) ) ) ==> zero
% 9.23/9.60 }.
% 9.23/9.60 (3888) {G15,W11,D5,L2,V0,M2} R(3876,11) { ! alpha1( skol5( skol3( skol4 ) )
% 9.23/9.60 ), growth_rate( first_movers, skol5( skol3( skol4 ) ) ) ==> zero }.
% 9.23/9.60 (4400) {G16,W14,D5,L2,V0,M2} R(3887,563) { growth_rate( efficient_producers
% 9.23/9.60 , skol5( skol3( skol4 ) ) ) ==> zero, greater_or_equal( growth_rate(
% 9.23/9.60 first_movers, skol5( skol3( skol4 ) ) ), zero ) }.
% 9.23/9.60 (4405) {G17,W14,D5,L2,V0,M2} R(3888,567);d(4400);r(3877) { growth_rate(
% 9.23/9.60 first_movers, skol5( skol3( skol4 ) ) ) ==> zero, greater_or_equal(
% 9.23/9.60 growth_rate( first_movers, skol5( skol3( skol4 ) ) ), zero ) }.
% 9.23/9.60 (4526) {G5,W13,D3,L3,V1,M3} R(2024,493) { greater_or_equal( skol3( skol4 )
% 9.23/9.60 , X ), ! greater_or_equal( equilibrium( skol4 ), X ), skol3( skol4 ) ==>
% 9.23/9.60 equilibrium( skol4 ) }.
% 9.23/9.60 (4536) {G6,W15,D3,L3,V0,M3} R(4526,1786);r(2763) { greater_or_equal( skol3
% 9.23/9.60 ( skol4 ), skol2( skol4 ) ), skol3( skol4 ) ==> equilibrium( skol4 ),
% 9.23/9.60 greater_or_equal( skol2( skol4 ), equilibrium( skol4 ) ) }.
% 9.23/9.60 (4547) {G5,W13,D3,L3,V1,M3} R(1998,493) { greater_or_equal( X, equilibrium
% 9.23/9.60 ( skol4 ) ), ! greater_or_equal( X, skol3( skol4 ) ), skol3( skol4 ) ==>
% 9.23/9.60 equilibrium( skol4 ) }.
% 9.23/9.60 (4571) {G7,W15,D3,L3,V0,M3} R(4547,1895);r(4536) { greater_or_equal( skol2
% 9.23/9.60 ( skol4 ), equilibrium( skol4 ) ), skol3( skol4 ) ==> equilibrium( skol4
% 9.23/9.60 ), greater( skol3( skol4 ), skol2( skol4 ) ) }.
% 9.23/9.60 (4581) {G8,W10,D3,L2,V0,M2} R(1810,494);d(1795);d(4571);d(4571);f;r(28) {
% 9.23/9.60 greater( skol3( skol4 ), skol2( skol4 ) ), greater_or_equal( skol2( skol4
% 9.23/9.60 ), equilibrium( skol4 ) ) }.
% 9.23/9.60 (4589) {G9,W10,D3,L2,V0,M2} R(4581,3) { greater_or_equal( skol2( skol4 ),
% 9.23/9.60 equilibrium( skol4 ) ), greater_or_equal( skol3( skol4 ), skol2( skol4 )
% 9.23/9.60 ) }.
% 9.23/9.60 (4595) {G10,W10,D3,L2,V0,M2} R(4589,497);f { greater_or_equal( skol3( skol4
% 9.23/9.60 ), skol2( skol4 ) ), greater( skol2( skol4 ), equilibrium( skol4 ) ) }.
% 9.23/9.60 (4601) {G11,W13,D3,L3,V1,M3} R(4595,357) { greater_or_equal( skol3( skol4 )
% 9.23/9.60 , skol2( skol4 ) ), ! alpha3( skol5( X ) ), ! greater( skol5( X ), skol2
% 9.23/9.60 ( skol4 ) ) }.
% 9.23/9.60 (4610) {G12,W15,D4,L3,V0,M3} R(4601,264) { greater_or_equal( skol3( skol4 )
% 9.23/9.60 , skol2( skol4 ) ), ! alpha3( skol5( skol2( skol4 ) ) ), skol5( skol2(
% 9.23/9.60 skol4 ) ) ==> skol2( skol4 ) }.
% 9.23/9.60 (4654) {G13,W14,D4,L3,V0,M3} R(265,1771);d(4610);r(1792) { greater_or_equal
% 9.23/9.60 ( skol3( skol4 ), skol2( skol4 ) ), ! alpha3( skol5( skol2( skol4 ) ) ),
% 9.23/9.60 skol3( skol4 ) ==> equilibrium( skol4 ) }.
% 9.23/9.60 (5313) {G3,W11,D5,L1,V0,M1} R(413,260);r(313) { greater( growth_rate(
% 9.23/9.60 efficient_producers, skol5( skol2( skol4 ) ) ), growth_rate( first_movers
% 9.23/9.60 , skol5( skol2( skol4 ) ) ) ) }.
% 9.23/9.60 (5316) {G5,W11,D5,L2,V0,M2} R(5313,640) { alpha1( skol5( skol2( skol4 ) ) )
% 9.23/9.60 , greater( zero, growth_rate( first_movers, skol5( skol2( skol4 ) ) ) )
% 9.23/9.60 }.
% 9.23/9.60 (5318) {G5,W11,D5,L2,V0,M2} R(5313,657) { alpha1( skol5( skol2( skol4 ) ) )
% 9.23/9.60 , greater( growth_rate( efficient_producers, skol5( skol2( skol4 ) ) ),
% 9.23/9.60 zero ) }.
% 9.23/9.60 (5333) {G4,W11,D4,L3,V0,M3} P(12,5313);d(11) { ! alpha1( skol5( skol2(
% 9.23/9.60 skol4 ) ) ), alpha3( skol5( skol2( skol4 ) ) ), greater( zero, zero ) }.
% 9.23/9.60 (5353) {G5,W14,D4,L4,V1,M4} R(5333,3081);r(5333) { ! alpha1( skol5( skol2(
% 9.23/9.60 skol4 ) ) ), alpha3( skol5( skol2( skol4 ) ) ), ! alpha1( skol5( X ) ),
% 9.23/9.60 alpha3( skol5( X ) ) }.
% 9.23/9.60 (5358) {G6,W8,D4,L2,V0,M2} F(5353);f { ! alpha1( skol5( skol2( skol4 ) ) )
% 9.23/9.60 , alpha3( skol5( skol2( skol4 ) ) ) }.
% 9.23/9.60 (5373) {G7,W15,D4,L3,V0,M3} R(5358,3702) { ! alpha1( skol5( skol2( skol4 )
% 9.23/9.60 ) ), ! greater_or_equal( skol5( skol2( skol4 ) ), skol3( skol4 ) ),
% 9.23/9.60 skol3( skol4 ) ==> equilibrium( skol4 ) }.
% 9.23/9.60 (5404) {G7,W10,D4,L2,V0,M2} R(5358,1872);r(313) { ! alpha1( skol5( skol2(
% 9.23/9.60 skol4 ) ) ), ! greater( skol5( skol2( skol4 ) ), equilibrium( skol4 ) )
% 9.23/9.60 }.
% 9.23/9.60 (5405) {G7,W10,D4,L2,V0,M2} R(5358,347);r(313) { ! alpha1( skol5( skol2(
% 9.23/9.60 skol4 ) ) ), ! greater_or_equal( skol5( skol2( skol4 ) ), equilibrium(
% 9.23/9.60 skol4 ) ) }.
% 9.23/9.60 (5449) {G8,W10,D4,L2,V0,M2} R(5405,495);d(5373);r(5404) { ! alpha1( skol5(
% 9.23/9.60 skol2( skol4 ) ) ), ! greater_or_equal( skol5( skol2( skol4 ) ), skol3(
% 9.23/9.60 skol4 ) ) }.
% 9.23/9.60 (5497) {G9,W10,D4,L2,V0,M2} R(5449,3) { ! alpha1( skol5( skol2( skol4 ) ) )
% 9.23/9.60 , ! greater( skol5( skol2( skol4 ) ), skol3( skol4 ) ) }.
% 9.23/9.60 (5515) {G10,W10,D4,L2,V0,M2} R(5497,13) { ! greater( skol5( skol2( skol4 )
% 9.23/9.60 ), skol3( skol4 ) ), ! alpha3( skol5( skol2( skol4 ) ) ) }.
% 9.23/9.60 (5521) {G14,W9,D4,L2,V0,M2} R(5515,265);d(4610);d(4654);r(4589) { ! alpha3
% 9.23/9.60 ( skol5( skol2( skol4 ) ) ), greater_or_equal( skol3( skol4 ), skol2(
% 9.23/9.60 skol4 ) ) }.
% 9.23/9.60 (5533) {G15,W9,D4,L2,V0,M2} R(5521,5358) { greater_or_equal( skol3( skol4 )
% 9.23/9.60 , skol2( skol4 ) ), ! alpha1( skol5( skol2( skol4 ) ) ) }.
% 9.23/9.60 (5627) {G6,W4,D4,L1,V0,M1} R(5316,529);r(5318) { alpha1( skol5( skol2(
% 9.23/9.60 skol4 ) ) ) }.
% 9.23/9.60 (5630) {G16,W5,D3,L1,V0,M1} R(5627,5533) { greater_or_equal( skol3( skol4 )
% 9.23/9.60 , skol2( skol4 ) ) }.
% 9.23/9.60 (5631) {G10,W6,D4,L1,V0,M1} R(5627,5497) { ! greater( skol5( skol2( skol4 )
% 9.23/9.60 ), skol3( skol4 ) ) }.
% 9.23/9.60 (5632) {G9,W6,D4,L1,V0,M1} R(5627,5449) { ! greater_or_equal( skol5( skol2
% 9.23/9.60 ( skol4 ) ), skol3( skol4 ) ) }.
% 9.23/9.60 (5659) {G17,W10,D3,L2,V0,M2} R(5630,2) { greater( skol3( skol4 ), skol2(
% 9.23/9.60 skol4 ) ), skol3( skol4 ) ==> skol2( skol4 ) }.
% 9.23/9.60 (5761) {G11,W9,D4,L2,V1,M2} R(5631,0) { ! greater( skol5( skol2( skol4 ) )
% 9.23/9.60 , X ), ! greater( X, skol3( skol4 ) ) }.
% 9.23/9.60 (5775) {G12,W9,D4,L2,V1,M2} P(2,5631);r(5761) { ! greater( skol5( skol2(
% 9.23/9.60 skol4 ) ), X ), ! greater_or_equal( X, skol3( skol4 ) ) }.
% 9.23/9.60 (5904) {G13,W5,D3,L1,V0,M1} P(264,5632);r(5775) { ! greater_or_equal( skol2
% 9.23/9.60 ( skol4 ), skol3( skol4 ) ) }.
% 9.23/9.60 (5914) {G14,W8,D3,L2,V1,M2} R(5904,1810) { ! greater( X, skol3( skol4 ) ),
% 9.23/9.60 greater( X, skol2( skol4 ) ) }.
% 9.23/9.60 (5917) {G14,W8,D3,L2,V1,M2} R(5904,1808) { greater_or_equal( X, skol2(
% 9.23/9.60 skol4 ) ), ! greater( X, skol3( skol4 ) ) }.
% 9.23/9.60 (5920) {G18,W5,D3,L1,V0,M1} R(5904,1895);d(5659);r(28) { greater( skol3(
% 9.23/9.60 skol4 ), skol2( skol4 ) ) }.
% 9.23/9.60 (6089) {G19,W8,D3,L2,V1,M2} P(2297,5920);r(5914) { greater( X, skol2( skol4
% 9.23/9.60 ) ), ! skol3( skol4 ) = X }.
% 9.23/9.60 (7099) {G20,W8,D3,L2,V1,M2} R(6089,3) { ! skol3( skol4 ) = X,
% 9.23/9.60 greater_or_equal( X, skol2( skol4 ) ) }.
% 9.23/9.60 (7128) {G21,W15,D3,L4,V2,M4} P(2,7099) { ! X = Y, greater_or_equal( Y,
% 9.23/9.60 skol2( skol4 ) ), ! greater_or_equal( X, skol3( skol4 ) ), greater( X,
% 9.23/9.60 skol3( skol4 ) ) }.
% 9.23/9.60 (7132) {G22,W8,D3,L2,V1,M2} Q(7128);r(5917) { greater_or_equal( X, skol2(
% 9.23/9.60 skol4 ) ), ! greater_or_equal( X, skol3( skol4 ) ) }.
% 9.23/9.60 (7244) {G23,W6,D4,L1,V0,M1} R(7132,233) { greater_or_equal( skol5( skol3(
% 9.23/9.60 skol4 ) ), skol2( skol4 ) ) }.
% 9.23/9.60 (7259) {G24,W11,D5,L1,V0,M1} R(7244,413);r(313) { greater( growth_rate(
% 9.23/9.60 efficient_producers, skol5( skol3( skol4 ) ) ), growth_rate( first_movers
% 9.23/9.60 , skol5( skol3( skol4 ) ) ) ) }.
% 9.23/9.60 (10402) {G25,W4,D4,L1,V0,M1} P(3888,7259);d(3887);r(3886) { ! alpha1( skol5
% 9.23/9.60 ( skol3( skol4 ) ) ) }.
% 9.23/9.60 (10453) {G26,W10,D5,L2,V1,M2} R(10402,640) { ! greater( growth_rate(
% 9.23/9.60 efficient_producers, skol5( skol3( skol4 ) ) ), X ), greater( zero, X )
% 9.23/9.60 }.
% 9.23/9.60 (10460) {G26,W10,D5,L2,V1,M2} R(10402,657) { ! greater( X, growth_rate(
% 9.23/9.60 first_movers, skol5( skol3( skol4 ) ) ) ), greater( X, zero ) }.
% 9.23/9.60 (10477) {G26,W7,D5,L1,V0,M1} R(10402,569);d(4405);r(3877) {
% 9.23/9.60 greater_or_equal( growth_rate( first_movers, skol5( skol3( skol4 ) ) ),
% 9.23/9.60 zero ) }.
% 9.23/9.60 (14337) {G27,W7,D5,L1,V0,M1} R(10453,7259) { greater( zero, growth_rate(
% 9.23/9.60 first_movers, skol5( skol3( skol4 ) ) ) ) }.
% 9.23/9.60 (14415) {G28,W7,D5,L1,V0,M1} R(14337,529) { ! greater( growth_rate(
% 9.23/9.60 efficient_producers, skol5( skol3( skol4 ) ) ), zero ) }.
% 9.23/9.60 (14464) {G28,W6,D2,L2,V1,M2} P(2,14337);r(10460) { ! greater_or_equal( X,
% 9.23/9.60 zero ), greater( X, zero ) }.
% 9.23/9.60 (15030) {G29,W9,D2,L3,V2,M3} R(14464,39) { ! greater_or_equal( X, zero ),
% 9.23/9.60 greater_or_equal( Y, zero ), ! greater( Y, X ) }.
% 9.23/9.60 (15667) {G29,W7,D5,L1,V0,M1} R(14415,14464) { ! greater_or_equal(
% 9.23/9.60 growth_rate( efficient_producers, skol5( skol3( skol4 ) ) ), zero ) }.
% 9.23/9.60 (18393) {G30,W7,D5,L1,V0,M1} R(15030,7259);r(10477) { greater_or_equal(
% 9.23/9.60 growth_rate( efficient_producers, skol5( skol3( skol4 ) ) ), zero ) }.
% 9.23/9.60 (18544) {G31,W0,D0,L0,V0,M0} S(18393);r(15667) { }.
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 % SZS output end Refutation
% 9.23/9.60 found a proof!
% 9.23/9.60
% 9.23/9.60
% 9.23/9.60 Unprocessed initial clauses:
% 9.23/9.60
% 9.23/9.60 (18546) {G0,W9,D2,L3,V3,M3} { ! greater( X, Z ), ! greater( Z, Y ),
% 9.23/9.60 greater( X, Y ) }.
% 9.23/9.60 (18547) {G0,W15,D2,L5,V3,M5} { ! in_environment( Z, X ), ! in_environment
% 9.23/9.60 ( Z, Y ), greater( Y, X ), Y = X, greater( X, Y ) }.
% 9.23/9.60 (18548) {G0,W9,D2,L3,V2,M3} { ! greater_or_equal( X, Y ), greater( X, Y )
% 9.23/9.60 , X = Y }.
% 9.23/9.60 (18549) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), greater_or_equal( X, Y )
% 9.23/9.60 }.
% 9.23/9.60 (18550) {G0,W6,D2,L2,V2,M2} { ! X = Y, greater_or_equal( X, Y ) }.
% 9.23/9.60 (18551) {G0,W7,D3,L2,V1,M2} { alpha2( X ), greater( growth_rate(
% 9.23/9.60 efficient_producers, X ), zero ) }.
% 9.23/9.60 (18552) {G0,W7,D3,L2,V1,M2} { alpha2( X ), greater( zero, growth_rate(
% 9.23/9.60 first_movers, X ) ) }.
% 9.23/9.60 (18553) {G0,W9,D3,L3,V1,M3} { ! alpha2( X ), alpha1( X ), greater(
% 9.23/9.60 growth_rate( first_movers, X ), zero ) }.
% 9.23/9.60 (18554) {G0,W9,D3,L3,V1,M3} { ! alpha2( X ), alpha1( X ), greater( zero,
% 9.23/9.60 growth_rate( efficient_producers, X ) ) }.
% 9.23/9.60 (18555) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 9.23/9.60 (18556) {G0,W12,D3,L3,V1,M3} { ! greater( growth_rate( first_movers, X ),
% 9.23/9.60 zero ), ! greater( zero, growth_rate( efficient_producers, X ) ), alpha2
% 9.23/9.60 ( X ) }.
% 9.23/9.60 (18557) {G0,W9,D3,L3,V1,M3} { ! alpha1( X ), alpha3( X ), growth_rate(
% 9.23/9.60 first_movers, X ) = zero }.
% 9.23/9.60 (18558) {G0,W9,D3,L3,V1,M3} { ! alpha1( X ), alpha3( X ), growth_rate(
% 9.23/9.60 efficient_producers, X ) = zero }.
% 9.23/9.60 (18559) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha1( X ) }.
% 9.23/9.60 (18560) {G0,W12,D3,L3,V1,M3} { ! growth_rate( first_movers, X ) = zero, !
% 9.23/9.60 growth_rate( efficient_producers, X ) = zero, alpha1( X ) }.
% 9.23/9.60 (18561) {G0,W13,D3,L4,V2,M4} { ! alpha3( X ), ! environment( Y ), !
% 9.23/9.60 subpopulations( first_movers, efficient_producers, Y, X ), !
% 9.23/9.60 greater_or_equal( X, equilibrium( Y ) ) }.
% 9.23/9.60 (18562) {G0,W5,D3,L2,V2,M2} { environment( skol1( Y ) ), alpha3( X ) }.
% 9.23/9.60 (18563) {G0,W8,D3,L2,V1,M2} { subpopulations( first_movers,
% 9.23/9.60 efficient_producers, skol1( X ), X ), alpha3( X ) }.
% 9.23/9.60 (18564) {G0,W7,D4,L2,V1,M2} { greater_or_equal( X, equilibrium( skol1( X )
% 9.23/9.60 ) ), alpha3( X ) }.
% 9.23/9.60 (18565) {G0,W8,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 9.23/9.60 in_environment( X, skol2( X ) ) }.
% 9.23/9.60 (18566) {G0,W20,D3,L5,V2,M5} { ! environment( X ), ! stable( X ), !
% 9.23/9.60 subpopulations( first_movers, efficient_producers, X, Y ), !
% 9.23/9.60 greater_or_equal( Y, skol2( X ) ), greater( growth_rate(
% 9.27/9.60 efficient_producers, Y ), growth_rate( first_movers, Y ) ) }.
% 9.27/9.60 (18567) {G0,W8,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 9.27/9.60 in_environment( X, skol3( X ) ) }.
% 9.27/9.60 (18568) {G0,W9,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 9.27/9.60 greater_or_equal( skol3( X ), equilibrium( X ) ) }.
% 9.27/9.60 (18569) {G0,W2,D2,L1,V0,M1} { environment( skol4 ) }.
% 9.27/9.60 (18570) {G0,W2,D2,L1,V0,M1} { stable( skol4 ) }.
% 9.27/9.60 (18571) {G0,W9,D3,L2,V2,M2} { ! in_environment( skol4, X ), subpopulations
% 9.27/9.60 ( first_movers, efficient_producers, skol4, skol5( Y ) ) }.
% 9.27/9.60 (18572) {G0,W15,D4,L3,V2,M3} { ! in_environment( skol4, X ), ! greater(
% 9.27/9.60 growth_rate( efficient_producers, skol5( Y ) ), zero ), ! greater( zero,
% 9.27/9.60 growth_rate( first_movers, skol5( Y ) ) ) }.
% 9.27/9.60 (18573) {G0,W7,D3,L2,V1,M2} { ! in_environment( skol4, X ),
% 9.27/9.60 greater_or_equal( skol5( X ), X ) }.
% 9.27/9.60
% 9.27/9.60
% 9.27/9.60 Total Proof:
% 9.27/9.60
% 9.27/9.60 subsumption: (0) {G0,W9,D2,L3,V3,M3} I { ! greater( X, Z ), ! greater( Z, Y
% 9.27/9.60 ), greater( X, Y ) }.
% 9.27/9.60 parent0: (18546) {G0,W9,D2,L3,V3,M3} { ! greater( X, Z ), ! greater( Z, Y
% 9.27/9.60 ), greater( X, Y ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 Z := Z
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 2 ==> 2
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (1) {G0,W15,D2,L5,V3,M5} I { ! in_environment( Z, X ), !
% 9.27/9.60 in_environment( Z, Y ), greater( Y, X ), Y = X, greater( X, Y ) }.
% 9.27/9.60 parent0: (18547) {G0,W15,D2,L5,V3,M5} { ! in_environment( Z, X ), !
% 9.27/9.60 in_environment( Z, Y ), greater( Y, X ), Y = X, greater( X, Y ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 Z := Z
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 2 ==> 2
% 9.27/9.60 3 ==> 3
% 9.27/9.60 4 ==> 4
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (2) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ),
% 9.27/9.60 greater( X, Y ), X = Y }.
% 9.27/9.60 parent0: (18548) {G0,W9,D2,L3,V2,M3} { ! greater_or_equal( X, Y ), greater
% 9.27/9.60 ( X, Y ), X = Y }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 2 ==> 2
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (3) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ),
% 9.27/9.60 greater_or_equal( X, Y ) }.
% 9.27/9.60 parent0: (18549) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), greater_or_equal
% 9.27/9.60 ( X, Y ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, greater_or_equal( X, Y )
% 9.27/9.60 }.
% 9.27/9.60 parent0: (18550) {G0,W6,D2,L2,V2,M2} { ! X = Y, greater_or_equal( X, Y )
% 9.27/9.60 }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (5) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( growth_rate
% 9.27/9.60 ( efficient_producers, X ), zero ) }.
% 9.27/9.60 parent0: (18551) {G0,W7,D3,L2,V1,M2} { alpha2( X ), greater( growth_rate(
% 9.27/9.60 efficient_producers, X ), zero ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (6) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( zero,
% 9.27/9.60 growth_rate( first_movers, X ) ) }.
% 9.27/9.60 parent0: (18552) {G0,W7,D3,L2,V1,M2} { alpha2( X ), greater( zero,
% 9.27/9.60 growth_rate( first_movers, X ) ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (7) {G0,W9,D3,L3,V1,M3} I { ! alpha2( X ), alpha1( X ),
% 9.27/9.60 greater( growth_rate( first_movers, X ), zero ) }.
% 9.27/9.60 parent0: (18553) {G0,W9,D3,L3,V1,M3} { ! alpha2( X ), alpha1( X ), greater
% 9.27/9.60 ( growth_rate( first_movers, X ), zero ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 2 ==> 2
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (8) {G0,W9,D3,L3,V1,M3} I { ! alpha2( X ), alpha1( X ),
% 9.27/9.60 greater( zero, growth_rate( efficient_producers, X ) ) }.
% 9.27/9.60 parent0: (18554) {G0,W9,D3,L3,V1,M3} { ! alpha2( X ), alpha1( X ), greater
% 9.27/9.60 ( zero, growth_rate( efficient_producers, X ) ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 2 ==> 2
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (11) {G0,W9,D3,L3,V1,M3} I { ! alpha1( X ), alpha3( X ),
% 9.27/9.60 growth_rate( first_movers, X ) ==> zero }.
% 9.27/9.60 parent0: (18557) {G0,W9,D3,L3,V1,M3} { ! alpha1( X ), alpha3( X ),
% 9.27/9.60 growth_rate( first_movers, X ) = zero }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 2 ==> 2
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (12) {G0,W9,D3,L3,V1,M3} I { ! alpha1( X ), alpha3( X ),
% 9.27/9.60 growth_rate( efficient_producers, X ) ==> zero }.
% 9.27/9.60 parent0: (18558) {G0,W9,D3,L3,V1,M3} { ! alpha1( X ), alpha3( X ),
% 9.27/9.60 growth_rate( efficient_producers, X ) = zero }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 2 ==> 2
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (13) {G0,W4,D2,L2,V1,M2} I { ! alpha3( X ), alpha1( X ) }.
% 9.27/9.60 parent0: (18559) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha1( X ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (15) {G0,W13,D3,L4,V2,M4} I { ! alpha3( X ), ! environment( Y
% 9.27/9.60 ), ! subpopulations( first_movers, efficient_producers, Y, X ), !
% 9.27/9.60 greater_or_equal( X, equilibrium( Y ) ) }.
% 9.27/9.60 parent0: (18561) {G0,W13,D3,L4,V2,M4} { ! alpha3( X ), ! environment( Y )
% 9.27/9.60 , ! subpopulations( first_movers, efficient_producers, Y, X ), !
% 9.27/9.60 greater_or_equal( X, equilibrium( Y ) ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 2 ==> 2
% 9.27/9.60 3 ==> 3
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (19) {G0,W8,D3,L3,V1,M3} I { ! environment( X ), ! stable( X )
% 9.27/9.60 , in_environment( X, skol2( X ) ) }.
% 9.27/9.60 parent0: (18565) {G0,W8,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 9.27/9.60 in_environment( X, skol2( X ) ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 2 ==> 2
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (20) {G0,W20,D3,L5,V2,M5} I { ! environment( X ), ! stable( X
% 9.27/9.60 ), ! subpopulations( first_movers, efficient_producers, X, Y ), !
% 9.27/9.60 greater_or_equal( Y, skol2( X ) ), greater( growth_rate(
% 9.27/9.60 efficient_producers, Y ), growth_rate( first_movers, Y ) ) }.
% 9.27/9.60 parent0: (18566) {G0,W20,D3,L5,V2,M5} { ! environment( X ), ! stable( X )
% 9.27/9.60 , ! subpopulations( first_movers, efficient_producers, X, Y ), !
% 9.27/9.60 greater_or_equal( Y, skol2( X ) ), greater( growth_rate(
% 9.27/9.60 efficient_producers, Y ), growth_rate( first_movers, Y ) ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 2 ==> 2
% 9.27/9.60 3 ==> 3
% 9.27/9.60 4 ==> 4
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (21) {G0,W8,D3,L3,V1,M3} I { ! environment( X ), ! stable( X )
% 9.27/9.60 , in_environment( X, skol3( X ) ) }.
% 9.27/9.60 parent0: (18567) {G0,W8,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 9.27/9.60 in_environment( X, skol3( X ) ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 2 ==> 2
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (22) {G0,W9,D3,L3,V1,M3} I { ! environment( X ), ! stable( X )
% 9.27/9.60 , greater_or_equal( skol3( X ), equilibrium( X ) ) }.
% 9.27/9.60 parent0: (18568) {G0,W9,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 9.27/9.60 greater_or_equal( skol3( X ), equilibrium( X ) ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 2 ==> 2
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (23) {G0,W2,D2,L1,V0,M1} I { environment( skol4 ) }.
% 9.27/9.60 parent0: (18569) {G0,W2,D2,L1,V0,M1} { environment( skol4 ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (24) {G0,W2,D2,L1,V0,M1} I { stable( skol4 ) }.
% 9.27/9.60 parent0: (18570) {G0,W2,D2,L1,V0,M1} { stable( skol4 ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (25) {G0,W9,D3,L2,V2,M2} I { ! in_environment( skol4, X ),
% 9.27/9.60 subpopulations( first_movers, efficient_producers, skol4, skol5( Y ) )
% 9.27/9.60 }.
% 9.27/9.60 parent0: (18571) {G0,W9,D3,L2,V2,M2} { ! in_environment( skol4, X ),
% 9.27/9.60 subpopulations( first_movers, efficient_producers, skol4, skol5( Y ) )
% 9.27/9.60 }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (26) {G0,W15,D4,L3,V2,M3} I { ! in_environment( skol4, X ), !
% 9.27/9.60 greater( growth_rate( efficient_producers, skol5( Y ) ), zero ), !
% 9.27/9.60 greater( zero, growth_rate( first_movers, skol5( Y ) ) ) }.
% 9.27/9.60 parent0: (18572) {G0,W15,D4,L3,V2,M3} { ! in_environment( skol4, X ), !
% 9.27/9.60 greater( growth_rate( efficient_producers, skol5( Y ) ), zero ), !
% 9.27/9.60 greater( zero, growth_rate( first_movers, skol5( Y ) ) ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 2 ==> 2
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (27) {G0,W7,D3,L2,V1,M2} I { ! in_environment( skol4, X ),
% 9.27/9.60 greater_or_equal( skol5( X ), X ) }.
% 9.27/9.60 parent0: (18573) {G0,W7,D3,L2,V1,M2} { ! in_environment( skol4, X ),
% 9.27/9.60 greater_or_equal( skol5( X ), X ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 eqswap: (18731) {G0,W6,D2,L2,V2,M2} { ! Y = X, greater_or_equal( X, Y )
% 9.27/9.60 }.
% 9.27/9.60 parent0[0]: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, greater_or_equal( X, Y )
% 9.27/9.60 }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 eqrefl: (18732) {G0,W3,D2,L1,V1,M1} { greater_or_equal( X, X ) }.
% 9.27/9.60 parent0[0]: (18731) {G0,W6,D2,L2,V2,M2} { ! Y = X, greater_or_equal( X, Y
% 9.27/9.60 ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := X
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (28) {G1,W3,D2,L1,V1,M1} Q(4) { greater_or_equal( X, X ) }.
% 9.27/9.60 parent0: (18732) {G0,W3,D2,L1,V1,M1} { greater_or_equal( X, X ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 eqswap: (18733) {G0,W6,D2,L2,V2,M2} { ! Y = X, greater_or_equal( X, Y )
% 9.27/9.60 }.
% 9.27/9.60 parent0[0]: (4) {G0,W6,D2,L2,V2,M2} I { ! X = Y, greater_or_equal( X, Y )
% 9.27/9.60 }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 resolution: (18734) {G1,W15,D2,L5,V3,M5} { greater_or_equal( Y, X ), !
% 9.27/9.60 in_environment( Z, Y ), ! in_environment( Z, X ), greater( X, Y ),
% 9.27/9.60 greater( Y, X ) }.
% 9.27/9.60 parent0[0]: (18733) {G0,W6,D2,L2,V2,M2} { ! Y = X, greater_or_equal( X, Y
% 9.27/9.60 ) }.
% 9.27/9.60 parent1[3]: (1) {G0,W15,D2,L5,V3,M5} I { ! in_environment( Z, X ), !
% 9.27/9.60 in_environment( Z, Y ), greater( Y, X ), Y = X, greater( X, Y ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := Y
% 9.27/9.60 Y := X
% 9.27/9.60 end
% 9.27/9.60 substitution1:
% 9.27/9.60 X := Y
% 9.27/9.60 Y := X
% 9.27/9.60 Z := Z
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 resolution: (18742) {G1,W15,D2,L5,V3,M5} { greater_or_equal( X, Y ),
% 9.27/9.60 greater_or_equal( X, Y ), ! in_environment( Z, X ), ! in_environment( Z,
% 9.27/9.60 Y ), greater( Y, X ) }.
% 9.27/9.60 parent0[0]: (3) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), greater_or_equal
% 9.27/9.60 ( X, Y ) }.
% 9.27/9.60 parent1[4]: (18734) {G1,W15,D2,L5,V3,M5} { greater_or_equal( Y, X ), !
% 9.27/9.60 in_environment( Z, Y ), ! in_environment( Z, X ), greater( X, Y ),
% 9.27/9.60 greater( Y, X ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 end
% 9.27/9.60 substitution1:
% 9.27/9.60 X := Y
% 9.27/9.60 Y := X
% 9.27/9.60 Z := Z
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 factor: (18745) {G1,W12,D2,L4,V3,M4} { greater_or_equal( X, Y ), !
% 9.27/9.60 in_environment( Z, X ), ! in_environment( Z, Y ), greater( Y, X ) }.
% 9.27/9.60 parent0[0, 1]: (18742) {G1,W15,D2,L5,V3,M5} { greater_or_equal( X, Y ),
% 9.27/9.60 greater_or_equal( X, Y ), ! in_environment( Z, X ), ! in_environment( Z,
% 9.27/9.60 Y ), greater( Y, X ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 Z := Z
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (38) {G1,W12,D2,L4,V3,M4} R(4,1);r(3) { greater_or_equal( X, Y
% 9.27/9.60 ), ! in_environment( Z, Y ), ! in_environment( Z, X ), greater( Y, X )
% 9.27/9.60 }.
% 9.27/9.60 parent0: (18745) {G1,W12,D2,L4,V3,M4} { greater_or_equal( X, Y ), !
% 9.27/9.60 in_environment( Z, X ), ! in_environment( Z, Y ), greater( Y, X ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 Z := Z
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 2
% 9.27/9.60 2 ==> 1
% 9.27/9.60 3 ==> 3
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 resolution: (18746) {G1,W9,D2,L3,V3,M3} { greater_or_equal( X, Y ), !
% 9.27/9.60 greater( X, Z ), ! greater( Z, Y ) }.
% 9.27/9.60 parent0[0]: (3) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), greater_or_equal
% 9.27/9.60 ( X, Y ) }.
% 9.27/9.60 parent1[2]: (0) {G0,W9,D2,L3,V3,M3} I { ! greater( X, Z ), ! greater( Z, Y
% 9.27/9.60 ), greater( X, Y ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 end
% 9.27/9.60 substitution1:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 Z := Z
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (39) {G1,W9,D2,L3,V3,M3} R(3,0) { greater_or_equal( X, Y ), !
% 9.27/9.60 greater( X, Z ), ! greater( Z, Y ) }.
% 9.27/9.60 parent0: (18746) {G1,W9,D2,L3,V3,M3} { greater_or_equal( X, Y ), ! greater
% 9.27/9.60 ( X, Z ), ! greater( Z, Y ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 Z := Z
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 1 ==> 1
% 9.27/9.60 2 ==> 2
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 eqswap: (18748) {G0,W9,D2,L3,V2,M3} { Y = X, ! greater_or_equal( X, Y ),
% 9.27/9.60 greater( X, Y ) }.
% 9.27/9.60 parent0[2]: (2) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ), greater
% 9.27/9.60 ( X, Y ), X = Y }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 resolution: (18749) {G1,W11,D3,L3,V1,M3} { X = skol5( X ), greater( skol5
% 9.27/9.60 ( X ), X ), ! in_environment( skol4, X ) }.
% 9.27/9.60 parent0[1]: (18748) {G0,W9,D2,L3,V2,M3} { Y = X, ! greater_or_equal( X, Y
% 9.27/9.60 ), greater( X, Y ) }.
% 9.27/9.60 parent1[1]: (27) {G0,W7,D3,L2,V1,M2} I { ! in_environment( skol4, X ),
% 9.27/9.60 greater_or_equal( skol5( X ), X ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := skol5( X )
% 9.27/9.60 Y := X
% 9.27/9.60 end
% 9.27/9.60 substitution1:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 eqswap: (18750) {G1,W11,D3,L3,V1,M3} { skol5( X ) = X, greater( skol5( X )
% 9.27/9.60 , X ), ! in_environment( skol4, X ) }.
% 9.27/9.60 parent0[0]: (18749) {G1,W11,D3,L3,V1,M3} { X = skol5( X ), greater( skol5
% 9.27/9.60 ( X ), X ), ! in_environment( skol4, X ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (47) {G1,W11,D3,L3,V1,M3} R(2,27) { greater( skol5( X ), X ),
% 9.27/9.60 skol5( X ) ==> X, ! in_environment( skol4, X ) }.
% 9.27/9.60 parent0: (18750) {G1,W11,D3,L3,V1,M3} { skol5( X ) = X, greater( skol5( X
% 9.27/9.60 ), X ), ! in_environment( skol4, X ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 1
% 9.27/9.60 1 ==> 0
% 9.27/9.60 2 ==> 2
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 eqswap: (18751) {G0,W9,D2,L3,V2,M3} { Y = X, ! greater_or_equal( X, Y ),
% 9.27/9.60 greater( X, Y ) }.
% 9.27/9.60 parent0[2]: (2) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ), greater
% 9.27/9.60 ( X, Y ), X = Y }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 resolution: (18752) {G1,W12,D2,L4,V3,M4} { ! greater( Y, Z ), greater( X,
% 9.27/9.60 Z ), Y = X, ! greater_or_equal( X, Y ) }.
% 9.27/9.60 parent0[0]: (0) {G0,W9,D2,L3,V3,M3} I { ! greater( X, Z ), ! greater( Z, Y
% 9.27/9.60 ), greater( X, Y ) }.
% 9.27/9.60 parent1[2]: (18751) {G0,W9,D2,L3,V2,M3} { Y = X, ! greater_or_equal( X, Y
% 9.27/9.60 ), greater( X, Y ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Z
% 9.27/9.60 Z := Y
% 9.27/9.60 end
% 9.27/9.60 substitution1:
% 9.27/9.60 X := X
% 9.27/9.60 Y := Y
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 eqswap: (18755) {G1,W12,D2,L4,V3,M4} { Y = X, ! greater( X, Z ), greater(
% 9.27/9.60 Y, Z ), ! greater_or_equal( Y, X ) }.
% 9.27/9.60 parent0[2]: (18752) {G1,W12,D2,L4,V3,M4} { ! greater( Y, Z ), greater( X,
% 9.27/9.60 Z ), Y = X, ! greater_or_equal( X, Y ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := Y
% 9.27/9.60 Y := X
% 9.27/9.60 Z := Z
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (48) {G1,W12,D2,L4,V3,M4} R(2,0) { ! greater_or_equal( X, Y )
% 9.27/9.60 , X = Y, ! greater( Y, Z ), greater( X, Z ) }.
% 9.27/9.60 parent0: (18755) {G1,W12,D2,L4,V3,M4} { Y = X, ! greater( X, Z ), greater
% 9.27/9.60 ( Y, Z ), ! greater_or_equal( Y, X ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := Y
% 9.27/9.60 Y := X
% 9.27/9.60 Z := Z
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 1
% 9.27/9.60 1 ==> 2
% 9.27/9.60 2 ==> 3
% 9.27/9.60 3 ==> 0
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 resolution: (18756) {G1,W9,D3,L3,V1,M3} { greater_or_equal( growth_rate(
% 9.27/9.60 first_movers, X ), zero ), ! alpha2( X ), alpha1( X ) }.
% 9.27/9.60 parent0[0]: (3) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), greater_or_equal
% 9.27/9.60 ( X, Y ) }.
% 9.27/9.60 parent1[2]: (7) {G0,W9,D3,L3,V1,M3} I { ! alpha2( X ), alpha1( X ), greater
% 9.27/9.60 ( growth_rate( first_movers, X ), zero ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := growth_rate( first_movers, X )
% 9.27/9.60 Y := zero
% 9.27/9.60 end
% 9.27/9.60 substitution1:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (106) {G1,W9,D3,L3,V1,M3} R(7,3) { ! alpha2( X ), alpha1( X )
% 9.27/9.60 , greater_or_equal( growth_rate( first_movers, X ), zero ) }.
% 9.27/9.60 parent0: (18756) {G1,W9,D3,L3,V1,M3} { greater_or_equal( growth_rate(
% 9.27/9.60 first_movers, X ), zero ), ! alpha2( X ), alpha1( X ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := X
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 2
% 9.27/9.60 1 ==> 0
% 9.27/9.60 2 ==> 1
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 resolution: (18757) {G1,W6,D3,L2,V0,M2} { ! stable( skol4 ),
% 9.27/9.60 in_environment( skol4, skol3( skol4 ) ) }.
% 9.27/9.60 parent0[0]: (21) {G0,W8,D3,L3,V1,M3} I { ! environment( X ), ! stable( X )
% 9.27/9.60 , in_environment( X, skol3( X ) ) }.
% 9.27/9.60 parent1[0]: (23) {G0,W2,D2,L1,V0,M1} I { environment( skol4 ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := skol4
% 9.27/9.60 end
% 9.27/9.60 substitution1:
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 resolution: (18758) {G1,W4,D3,L1,V0,M1} { in_environment( skol4, skol3(
% 9.27/9.60 skol4 ) ) }.
% 9.27/9.60 parent0[0]: (18757) {G1,W6,D3,L2,V0,M2} { ! stable( skol4 ),
% 9.27/9.60 in_environment( skol4, skol3( skol4 ) ) }.
% 9.27/9.60 parent1[0]: (24) {G0,W2,D2,L1,V0,M1} I { stable( skol4 ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 end
% 9.27/9.60 substitution1:
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (229) {G1,W4,D3,L1,V0,M1} R(21,23);r(24) { in_environment(
% 9.27/9.60 skol4, skol3( skol4 ) ) }.
% 9.27/9.60 parent0: (18758) {G1,W4,D3,L1,V0,M1} { in_environment( skol4, skol3( skol4
% 9.27/9.60 ) ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 resolution: (18759) {G1,W6,D4,L1,V0,M1} { greater_or_equal( skol5( skol3(
% 9.27/9.60 skol4 ) ), skol3( skol4 ) ) }.
% 9.27/9.60 parent0[0]: (27) {G0,W7,D3,L2,V1,M2} I { ! in_environment( skol4, X ),
% 9.27/9.60 greater_or_equal( skol5( X ), X ) }.
% 9.27/9.60 parent1[0]: (229) {G1,W4,D3,L1,V0,M1} R(21,23);r(24) { in_environment(
% 9.27/9.60 skol4, skol3( skol4 ) ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 X := skol3( skol4 )
% 9.27/9.60 end
% 9.27/9.60 substitution1:
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 subsumption: (233) {G2,W6,D4,L1,V0,M1} R(229,27) { greater_or_equal( skol5
% 9.27/9.60 ( skol3( skol4 ) ), skol3( skol4 ) ) }.
% 9.27/9.60 parent0: (18759) {G1,W6,D4,L1,V0,M1} { greater_or_equal( skol5( skol3(
% 9.27/9.60 skol4 ) ), skol3( skol4 ) ) }.
% 9.27/9.60 substitution0:
% 9.27/9.60 end
% 9.27/9.60 permutation0:
% 9.27/9.60 0 ==> 0
% 9.27/9.60 end
% 9.27/9.60
% 9.27/9.60 resolution: (18760) {G1,W6,D3,L2,V0,M2} { ! stable( skol4 ),
% 9.27/9.60 in_environment( skol4, skol2( skol4 ) ) }.
% 9.27/9.60 parent0[0]: (19) {G0,W8,D3,L3,V1,M3} I { ! environment( X ), ! stable( X )
% 9.27/9.60 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------