TSTP Solution File: MGT028+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 0.49s 0.91s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.10 % Command : bliksem %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % DateTime : Thu Jun 9 09:32:07 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.49/0.91 *** allocated 10000 integers for termspace/termends
% 0.49/0.91 *** allocated 10000 integers for clauses
% 0.49/0.91 *** allocated 10000 integers for justifications
% 0.49/0.91 Bliksem 1.12
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 Automatic Strategy Selection
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 Clauses:
% 0.49/0.91
% 0.49/0.91 { ! environment( X ), ! stable( X ), alpha1( X ), greater( skol1( X ),
% 0.49/0.91 appear( efficient_producers, X ) ) }.
% 0.49/0.91 { ! environment( X ), ! stable( X ), alpha1( X ), ! subpopulations(
% 0.49/0.91 first_movers, efficient_producers, X, Y ), ! greater_or_equal( Y, skol1(
% 0.49/0.91 X ) ), greater( zero, growth_rate( first_movers, Y ) ) }.
% 0.49/0.91 { ! alpha1( X ), ! in_environment( X, Y ), alpha2( X, Y ) }.
% 0.49/0.91 { in_environment( X, skol2( X ) ), alpha1( X ) }.
% 0.49/0.91 { ! alpha2( X, skol2( X ) ), alpha1( X ) }.
% 0.49/0.91 { ! alpha2( X, Y ), ! greater( zero, growth_rate( first_movers, skol3( Z, T
% 0.49/0.91 ) ) ) }.
% 0.49/0.91 { ! alpha2( X, Y ), greater_or_equal( skol3( Z, Y ), Y ) }.
% 0.49/0.91 { ! alpha2( X, Y ), subpopulations( first_movers, efficient_producers, X,
% 0.49/0.91 skol3( X, Y ) ) }.
% 0.49/0.91 { ! subpopulations( first_movers, efficient_producers, X, Z ), !
% 0.49/0.91 greater_or_equal( Z, Y ), greater( zero, growth_rate( first_movers, Z ) )
% 0.49/0.91 , alpha2( X, Y ) }.
% 0.49/0.91 { ! environment( X ), ! stable( X ), in_environment( X, skol4( X ) ) }.
% 0.49/0.91 { ! environment( X ), ! stable( X ), ! subpopulations( first_movers,
% 0.49/0.91 efficient_producers, X, Y ), ! greater_or_equal( Y, skol4( X ) ), greater
% 0.49/0.91 ( growth_rate( efficient_producers, Y ), zero ) }.
% 0.49/0.91 { ! environment( X ), ! stable( X ), ! subpopulations( first_movers,
% 0.49/0.91 efficient_producers, X, Y ), ! greater_or_equal( Y, skol4( X ) ), greater
% 0.49/0.91 ( zero, growth_rate( first_movers, Y ) ) }.
% 0.49/0.91 { environment( skol5 ) }.
% 0.49/0.91 { stable( skol5 ) }.
% 0.49/0.91 { ! greater( X, appear( efficient_producers, skol5 ) ), subpopulations(
% 0.49/0.91 first_movers, efficient_producers, skol5, skol6( Y ) ) }.
% 0.49/0.91 { ! greater( X, appear( efficient_producers, skol5 ) ), ! greater( zero,
% 0.49/0.91 growth_rate( first_movers, skol6( Y ) ) ) }.
% 0.49/0.91 { ! greater( X, appear( efficient_producers, skol5 ) ), greater_or_equal(
% 0.49/0.91 skol6( X ), X ) }.
% 0.49/0.91
% 0.49/0.91 percentage equality = 0.000000, percentage horn = 0.764706
% 0.49/0.91 This a non-horn, non-equality problem
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 Options Used:
% 0.49/0.91
% 0.49/0.91 useres = 1
% 0.49/0.91 useparamod = 0
% 0.49/0.91 useeqrefl = 0
% 0.49/0.91 useeqfact = 0
% 0.49/0.91 usefactor = 1
% 0.49/0.91 usesimpsplitting = 0
% 0.49/0.91 usesimpdemod = 0
% 0.49/0.91 usesimpres = 3
% 0.49/0.91
% 0.49/0.91 resimpinuse = 1000
% 0.49/0.91 resimpclauses = 20000
% 0.49/0.91 substype = standard
% 0.49/0.91 backwardsubs = 1
% 0.49/0.91 selectoldest = 5
% 0.49/0.91
% 0.49/0.91 litorderings [0] = split
% 0.49/0.91 litorderings [1] = liftord
% 0.49/0.91
% 0.49/0.91 termordering = none
% 0.49/0.91
% 0.49/0.91 litapriori = 1
% 0.49/0.91 termapriori = 0
% 0.49/0.91 litaposteriori = 0
% 0.49/0.91 termaposteriori = 0
% 0.49/0.91 demodaposteriori = 0
% 0.49/0.91 ordereqreflfact = 0
% 0.49/0.91
% 0.49/0.91 litselect = none
% 0.49/0.91
% 0.49/0.91 maxweight = 15
% 0.49/0.91 maxdepth = 30000
% 0.49/0.91 maxlength = 115
% 0.49/0.91 maxnrvars = 195
% 0.49/0.91 excuselevel = 1
% 0.49/0.91 increasemaxweight = 1
% 0.49/0.91
% 0.49/0.91 maxselected = 10000000
% 0.49/0.91 maxnrclauses = 10000000
% 0.49/0.91
% 0.49/0.91 showgenerated = 0
% 0.49/0.91 showkept = 0
% 0.49/0.91 showselected = 0
% 0.49/0.91 showdeleted = 0
% 0.49/0.91 showresimp = 1
% 0.49/0.91 showstatus = 2000
% 0.49/0.91
% 0.49/0.91 prologoutput = 0
% 0.49/0.91 nrgoals = 5000000
% 0.49/0.91 totalproof = 1
% 0.49/0.91
% 0.49/0.91 Symbols occurring in the translation:
% 0.49/0.91
% 0.49/0.91 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.49/0.91 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.49/0.91 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.49/0.91 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.49/0.91 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.49/0.91 environment [36, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.49/0.91 stable [37, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.49/0.91 in_environment [39, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.49/0.91 first_movers [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.49/0.91 efficient_producers [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.49/0.91 subpopulations [43, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.49/0.91 greater_or_equal [44, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.49/0.91 zero [45, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.49/0.91 growth_rate [46, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.49/0.91 greater [47, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.49/0.91 appear [49, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.49/0.91 alpha1 [51, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.49/0.91 alpha2 [52, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.49/0.91 skol1 [53, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.49/0.91 skol2 [54, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.49/0.91 skol3 [55, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.49/0.91 skol4 [56, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.49/0.91 skol5 [57, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.49/0.91 skol6 [58, 1] (w:1, o:26, a:1, s:1, b:0).
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 Starting Search:
% 0.49/0.91
% 0.49/0.91 Resimplifying inuse:
% 0.49/0.91 Done
% 0.49/0.91
% 0.49/0.91 Failed to find proof!
% 0.49/0.91 maxweight = 15
% 0.49/0.91 maxnrclauses = 10000000
% 0.49/0.91 Generated: 59
% 0.49/0.91 Kept: 38
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 The strategy used was not complete!
% 0.49/0.91
% 0.49/0.91 Increased maxweight to 16
% 0.49/0.91
% 0.49/0.91 Starting Search:
% 0.49/0.91
% 0.49/0.91 Resimplifying inuse:
% 0.49/0.91 Done
% 0.49/0.91
% 0.49/0.91 Failed to find proof!
% 0.49/0.91 maxweight = 16
% 0.49/0.91 maxnrclauses = 10000000
% 0.49/0.91 Generated: 61
% 0.49/0.91 Kept: 40
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 The strategy used was not complete!
% 0.49/0.91
% 0.49/0.91 Increased maxweight to 17
% 0.49/0.91
% 0.49/0.91 Starting Search:
% 0.49/0.91
% 0.49/0.91 Resimplifying inuse:
% 0.49/0.91 Done
% 0.49/0.91
% 0.49/0.91 Failed to find proof!
% 0.49/0.91 maxweight = 17
% 0.49/0.91 maxnrclauses = 10000000
% 0.49/0.91 Generated: 61
% 0.49/0.91 Kept: 40
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 The strategy used was not complete!
% 0.49/0.91
% 0.49/0.91 Increased maxweight to 18
% 0.49/0.91
% 0.49/0.91 Starting Search:
% 0.49/0.91
% 0.49/0.91 Resimplifying inuse:
% 0.49/0.91 Done
% 0.49/0.91
% 0.49/0.91 Failed to find proof!
% 0.49/0.91 maxweight = 18
% 0.49/0.91 maxnrclauses = 10000000
% 0.49/0.91 Generated: 64
% 0.49/0.91 Kept: 41
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 The strategy used was not complete!
% 0.49/0.91
% 0.49/0.91 Increased maxweight to 19
% 0.49/0.91
% 0.49/0.91 Starting Search:
% 0.49/0.91
% 0.49/0.91 Resimplifying inuse:
% 0.49/0.91 Done
% 0.49/0.91
% 0.49/0.91 Failed to find proof!
% 0.49/0.91 maxweight = 19
% 0.49/0.91 maxnrclauses = 10000000
% 0.49/0.91 Generated: 64
% 0.49/0.91 Kept: 41
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 The strategy used was not complete!
% 0.49/0.91
% 0.49/0.91 Increased maxweight to 20
% 0.49/0.91
% 0.49/0.91 Starting Search:
% 0.49/0.91
% 0.49/0.91 Resimplifying inuse:
% 0.49/0.91 Done
% 0.49/0.91
% 0.49/0.91 Failed to find proof!
% 0.49/0.91 maxweight = 20
% 0.49/0.91 maxnrclauses = 10000000
% 0.49/0.91 Generated: 77
% 0.49/0.91 Kept: 44
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 The strategy used was not complete!
% 0.49/0.91
% 0.49/0.91 Increased maxweight to 21
% 0.49/0.91
% 0.49/0.91 Starting Search:
% 0.49/0.91
% 0.49/0.91 Resimplifying inuse:
% 0.49/0.91 Done
% 0.49/0.91
% 0.49/0.91 Failed to find proof!
% 0.49/0.91 maxweight = 21
% 0.49/0.91 maxnrclauses = 10000000
% 0.49/0.91 Generated: 77
% 0.49/0.91 Kept: 44
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 The strategy used was not complete!
% 0.49/0.91
% 0.49/0.91 Increased maxweight to 22
% 0.49/0.91
% 0.49/0.91 Starting Search:
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 Bliksems!, er is een bewijs:
% 0.49/0.91 % SZS status Theorem
% 0.49/0.91 % SZS output start Refutation
% 0.49/0.91
% 0.49/0.91 (0) {G0,W12,D3,L4,V1,M1} I { ! environment( X ), ! stable( X ), alpha1( X )
% 0.49/0.91 , greater( skol1( X ), appear( efficient_producers, X ) ) }.
% 0.49/0.91 (1) {G0,W20,D3,L6,V2,M1} I { ! environment( X ), ! stable( X ), alpha1( X )
% 0.49/0.91 , ! greater_or_equal( Y, skol1( X ) ), greater( zero, growth_rate(
% 0.49/0.91 first_movers, Y ) ), ! subpopulations( first_movers, efficient_producers
% 0.49/0.91 , X, Y ) }.
% 0.49/0.91 (2) {G0,W8,D2,L3,V2,M1} I { ! alpha1( X ), ! in_environment( X, Y ), alpha2
% 0.49/0.91 ( X, Y ) }.
% 0.49/0.91 (5) {G0,W10,D4,L2,V4,M1} I { ! greater( zero, growth_rate( first_movers,
% 0.49/0.91 skol3( Z, T ) ) ), ! alpha2( X, Y ) }.
% 0.49/0.91 (6) {G0,W8,D3,L2,V3,M1} I { greater_or_equal( skol3( Z, Y ), Y ), ! alpha2
% 0.49/0.91 ( X, Y ) }.
% 0.49/0.91 (7) {G0,W10,D3,L2,V2,M1} I { ! alpha2( X, Y ), subpopulations( first_movers
% 0.49/0.91 , efficient_producers, X, skol3( X, Y ) ) }.
% 0.49/0.91 (9) {G0,W8,D3,L3,V1,M1} I { ! environment( X ), ! stable( X ),
% 0.49/0.91 in_environment( X, skol4( X ) ) }.
% 0.49/0.91 (11) {G0,W18,D3,L5,V2,M1} I { ! environment( X ), ! stable( X ), !
% 0.49/0.91 greater_or_equal( Y, skol4( X ) ), greater( zero, growth_rate(
% 0.49/0.91 first_movers, Y ) ), ! subpopulations( first_movers, efficient_producers
% 0.49/0.91 , X, Y ) }.
% 0.49/0.91 (12) {G0,W2,D2,L1,V0,M1} I { environment( skol5 ) }.
% 0.49/0.91 (13) {G0,W2,D2,L1,V0,M1} I { stable( skol5 ) }.
% 0.49/0.91 (14) {G0,W11,D3,L2,V2,M1} I { ! greater( X, appear( efficient_producers,
% 0.49/0.91 skol5 ) ), subpopulations( first_movers, efficient_producers, skol5,
% 0.49/0.91 skol6( Y ) ) }.
% 0.49/0.91 (15) {G0,W11,D4,L2,V2,M1} I { ! greater( zero, growth_rate( first_movers,
% 0.49/0.91 skol6( Y ) ) ), ! greater( X, appear( efficient_producers, skol5 ) ) }.
% 0.49/0.91 (16) {G0,W9,D3,L2,V1,M1} I { greater_or_equal( skol6( X ), X ), ! greater(
% 0.49/0.91 X, appear( efficient_producers, skol5 ) ) }.
% 0.49/0.91 (17) {G1,W10,D3,L3,V3,M1} R(6,2) { ! alpha1( Z ), ! in_environment( Z, Y )
% 0.49/0.91 , greater_or_equal( skol3( X, Y ), Y ) }.
% 0.49/0.91 (18) {G1,W10,D4,L3,V0,M1} R(16,0);r(12) { ! stable( skol5 ), alpha1( skol5
% 0.49/0.91 ), greater_or_equal( skol6( skol1( skol5 ) ), skol1( skol5 ) ) }.
% 0.49/0.91 (20) {G1,W12,D4,L3,V4,M1} R(5,2) { ! alpha1( Z ), ! in_environment( Z, T )
% 0.49/0.91 , ! greater( zero, growth_rate( first_movers, skol3( X, Y ) ) ) }.
% 0.49/0.91 (21) {G2,W8,D4,L2,V0,M1} S(18);r(13) { alpha1( skol5 ), greater_or_equal(
% 0.49/0.91 skol6( skol1( skol5 ) ), skol1( skol5 ) ) }.
% 0.49/0.91 (24) {G1,W20,D4,L5,V2,M1} R(14,1);r(12) { ! stable( skol5 ), alpha1( skol5
% 0.49/0.91 ), ! greater_or_equal( skol6( Y ), skol1( skol5 ) ), greater( zero,
% 0.49/0.91 growth_rate( first_movers, skol6( Y ) ) ), ! greater( X, appear(
% 0.49/0.91 efficient_producers, skol5 ) ) }.
% 0.49/0.91 (25) {G1,W10,D4,L3,V1,M1} R(15,0);r(12) { ! stable( skol5 ), alpha1( skol5
% 0.49/0.91 ), ! greater( zero, growth_rate( first_movers, skol6( X ) ) ) }.
% 0.49/0.91 (26) {G2,W8,D4,L2,V1,M1} S(25);r(13) { alpha1( skol5 ), ! greater( zero,
% 0.49/0.91 growth_rate( first_movers, skol6( X ) ) ) }.
% 0.49/0.91 (30) {G1,W20,D4,L5,V2,M1} R(11,7) { ! environment( X ), ! stable( X ), !
% 0.49/0.91 greater_or_equal( skol3( X, Y ), skol4( X ) ), greater( zero, growth_rate
% 0.49/0.91 ( first_movers, skol3( X, Y ) ) ), ! alpha2( X, Y ) }.
% 0.49/0.91 (39) {G3,W12,D3,L3,V2,M1} S(24);r(13);r(26) { alpha1( skol5 ), !
% 0.49/0.91 greater_or_equal( skol6( Y ), skol1( skol5 ) ), ! greater( X, appear(
% 0.49/0.91 efficient_producers, skol5 ) ) }.
% 0.49/0.91 (40) {G4,W9,D3,L3,V1,M1} R(39,0);f;r(12) { alpha1( skol5 ), ! stable( skol5
% 0.49/0.91 ), ! greater_or_equal( skol6( X ), skol1( skol5 ) ) }.
% 0.49/0.91 (41) {G5,W7,D3,L2,V1,M1} S(40);r(13) { alpha1( skol5 ), ! greater_or_equal
% 0.49/0.91 ( skol6( X ), skol1( skol5 ) ) }.
% 0.49/0.91 (42) {G6,W2,D2,L1,V0,M1} R(41,21);f { alpha1( skol5 ) }.
% 0.49/0.91 (47) {G2,W22,D4,L6,V2,M1} R(30,2) { ! environment( X ), ! stable( X ), !
% 0.49/0.91 greater_or_equal( skol3( X, Y ), skol4( X ) ), ! alpha1( X ), !
% 0.49/0.91 in_environment( X, Y ), greater( zero, growth_rate( first_movers, skol3(
% 0.49/0.91 X, Y ) ) ) }.
% 0.49/0.91 (51) {G3,W20,D3,L7,V4,M1} R(47,20) { ! environment( X ), ! stable( X ), !
% 0.49/0.91 alpha1( X ), ! in_environment( X, Y ), ! alpha1( Z ), ! in_environment( Z
% 0.49/0.91 , T ), ! greater_or_equal( skol3( X, Y ), skol4( X ) ) }.
% 0.49/0.91 (53) {G4,W15,D3,L5,V2,M1} F(51);f { ! environment( X ), ! stable( X ), !
% 0.49/0.91 alpha1( X ), ! in_environment( X, Y ), ! greater_or_equal( skol3( X, Y )
% 0.49/0.91 , skol4( X ) ) }.
% 0.49/0.91 (55) {G5,W12,D3,L5,V2,M1} R(53,17);r(9) { ! environment( X ), ! stable( X )
% 0.49/0.91 , ! alpha1( X ), ! alpha1( Y ), ! in_environment( Y, skol4( X ) ) }.
% 0.49/0.91 (56) {G6,W6,D2,L3,V1,M1} F(55);r(9) { ! environment( X ), ! stable( X ), !
% 0.49/0.91 alpha1( X ) }.
% 0.49/0.91 (57) {G7,W2,D2,L1,V0,M1} R(56,42);r(12) { ! stable( skol5 ) }.
% 0.49/0.91 (58) {G8,W0,D0,L0,V0,M0} S(57);r(13) { }.
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 % SZS output end Refutation
% 0.49/0.91 found a proof!
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 Unprocessed initial clauses:
% 0.49/0.91
% 0.49/0.91 (60) {G0,W12,D3,L4,V1,M4} { ! environment( X ), ! stable( X ), alpha1( X )
% 0.49/0.91 , greater( skol1( X ), appear( efficient_producers, X ) ) }.
% 0.49/0.91 (61) {G0,W20,D3,L6,V2,M6} { ! environment( X ), ! stable( X ), alpha1( X )
% 0.49/0.91 , ! subpopulations( first_movers, efficient_producers, X, Y ), !
% 0.49/0.91 greater_or_equal( Y, skol1( X ) ), greater( zero, growth_rate(
% 0.49/0.91 first_movers, Y ) ) }.
% 0.49/0.91 (62) {G0,W8,D2,L3,V2,M3} { ! alpha1( X ), ! in_environment( X, Y ), alpha2
% 0.49/0.91 ( X, Y ) }.
% 0.49/0.91 (63) {G0,W6,D3,L2,V1,M2} { in_environment( X, skol2( X ) ), alpha1( X )
% 0.49/0.91 }.
% 0.49/0.91 (64) {G0,W6,D3,L2,V1,M2} { ! alpha2( X, skol2( X ) ), alpha1( X ) }.
% 0.49/0.91 (65) {G0,W10,D4,L2,V4,M2} { ! alpha2( X, Y ), ! greater( zero, growth_rate
% 0.49/0.91 ( first_movers, skol3( Z, T ) ) ) }.
% 0.49/0.91 (66) {G0,W8,D3,L2,V3,M2} { ! alpha2( X, Y ), greater_or_equal( skol3( Z, Y
% 0.49/0.91 ), Y ) }.
% 0.49/0.91 (67) {G0,W10,D3,L2,V2,M2} { ! alpha2( X, Y ), subpopulations( first_movers
% 0.49/0.91 , efficient_producers, X, skol3( X, Y ) ) }.
% 0.49/0.91 (68) {G0,W16,D3,L4,V3,M4} { ! subpopulations( first_movers,
% 0.49/0.91 efficient_producers, X, Z ), ! greater_or_equal( Z, Y ), greater( zero,
% 0.49/0.91 growth_rate( first_movers, Z ) ), alpha2( X, Y ) }.
% 0.49/0.91 (69) {G0,W8,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 0.49/0.91 in_environment( X, skol4( X ) ) }.
% 0.49/0.91 (70) {G0,W18,D3,L5,V2,M5} { ! environment( X ), ! stable( X ), !
% 0.49/0.91 subpopulations( first_movers, efficient_producers, X, Y ), !
% 0.49/0.91 greater_or_equal( Y, skol4( X ) ), greater( growth_rate(
% 0.49/0.91 efficient_producers, Y ), zero ) }.
% 0.49/0.91 (71) {G0,W18,D3,L5,V2,M5} { ! environment( X ), ! stable( X ), !
% 0.49/0.91 subpopulations( first_movers, efficient_producers, X, Y ), !
% 0.49/0.91 greater_or_equal( Y, skol4( X ) ), greater( zero, growth_rate(
% 0.49/0.91 first_movers, Y ) ) }.
% 0.49/0.91 (72) {G0,W2,D2,L1,V0,M1} { environment( skol5 ) }.
% 0.49/0.91 (73) {G0,W2,D2,L1,V0,M1} { stable( skol5 ) }.
% 0.49/0.91 (74) {G0,W11,D3,L2,V2,M2} { ! greater( X, appear( efficient_producers,
% 0.49/0.91 skol5 ) ), subpopulations( first_movers, efficient_producers, skol5,
% 0.49/0.91 skol6( Y ) ) }.
% 0.49/0.91 (75) {G0,W11,D4,L2,V2,M2} { ! greater( X, appear( efficient_producers,
% 0.49/0.91 skol5 ) ), ! greater( zero, growth_rate( first_movers, skol6( Y ) ) ) }.
% 0.49/0.91 (76) {G0,W9,D3,L2,V1,M2} { ! greater( X, appear( efficient_producers,
% 0.49/0.91 skol5 ) ), greater_or_equal( skol6( X ), X ) }.
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 Total Proof:
% 0.49/0.91
% 0.49/0.91 subsumption: (0) {G0,W12,D3,L4,V1,M1} I { ! environment( X ), ! stable( X )
% 0.49/0.91 , alpha1( X ), greater( skol1( X ), appear( efficient_producers, X ) )
% 0.49/0.91 }.
% 0.49/0.91 parent0: (60) {G0,W12,D3,L4,V1,M4} { ! environment( X ), ! stable( X ),
% 0.49/0.91 alpha1( X ), greater( skol1( X ), appear( efficient_producers, X ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 2 ==> 2
% 0.49/0.91 3 ==> 3
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (1) {G0,W20,D3,L6,V2,M1} I { ! environment( X ), ! stable( X )
% 0.49/0.91 , alpha1( X ), ! greater_or_equal( Y, skol1( X ) ), greater( zero,
% 0.49/0.91 growth_rate( first_movers, Y ) ), ! subpopulations( first_movers,
% 0.49/0.91 efficient_producers, X, Y ) }.
% 0.49/0.91 parent0: (61) {G0,W20,D3,L6,V2,M6} { ! environment( X ), ! stable( X ),
% 0.49/0.91 alpha1( X ), ! subpopulations( first_movers, efficient_producers, X, Y )
% 0.49/0.91 , ! greater_or_equal( Y, skol1( X ) ), greater( zero, growth_rate(
% 0.49/0.91 first_movers, Y ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 2 ==> 2
% 0.49/0.91 3 ==> 5
% 0.49/0.91 4 ==> 3
% 0.49/0.91 5 ==> 4
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (2) {G0,W8,D2,L3,V2,M1} I { ! alpha1( X ), ! in_environment( X
% 0.49/0.91 , Y ), alpha2( X, Y ) }.
% 0.49/0.91 parent0: (62) {G0,W8,D2,L3,V2,M3} { ! alpha1( X ), ! in_environment( X, Y
% 0.49/0.91 ), alpha2( X, Y ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 2 ==> 2
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (5) {G0,W10,D4,L2,V4,M1} I { ! greater( zero, growth_rate(
% 0.49/0.91 first_movers, skol3( Z, T ) ) ), ! alpha2( X, Y ) }.
% 0.49/0.91 parent0: (65) {G0,W10,D4,L2,V4,M2} { ! alpha2( X, Y ), ! greater( zero,
% 0.49/0.91 growth_rate( first_movers, skol3( Z, T ) ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 Z := Z
% 0.49/0.91 T := T
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 1
% 0.49/0.91 1 ==> 0
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (6) {G0,W8,D3,L2,V3,M1} I { greater_or_equal( skol3( Z, Y ), Y
% 0.49/0.91 ), ! alpha2( X, Y ) }.
% 0.49/0.91 parent0: (66) {G0,W8,D3,L2,V3,M2} { ! alpha2( X, Y ), greater_or_equal(
% 0.49/0.91 skol3( Z, Y ), Y ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 Z := Z
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 1
% 0.49/0.91 1 ==> 0
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (7) {G0,W10,D3,L2,V2,M1} I { ! alpha2( X, Y ), subpopulations
% 0.49/0.91 ( first_movers, efficient_producers, X, skol3( X, Y ) ) }.
% 0.49/0.91 parent0: (67) {G0,W10,D3,L2,V2,M2} { ! alpha2( X, Y ), subpopulations(
% 0.49/0.91 first_movers, efficient_producers, X, skol3( X, Y ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (9) {G0,W8,D3,L3,V1,M1} I { ! environment( X ), ! stable( X )
% 0.49/0.91 , in_environment( X, skol4( X ) ) }.
% 0.49/0.91 parent0: (69) {G0,W8,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 0.49/0.91 in_environment( X, skol4( X ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 2 ==> 2
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (11) {G0,W18,D3,L5,V2,M1} I { ! environment( X ), ! stable( X
% 0.49/0.91 ), ! greater_or_equal( Y, skol4( X ) ), greater( zero, growth_rate(
% 0.49/0.91 first_movers, Y ) ), ! subpopulations( first_movers, efficient_producers
% 0.49/0.91 , X, Y ) }.
% 0.49/0.91 parent0: (71) {G0,W18,D3,L5,V2,M5} { ! environment( X ), ! stable( X ), !
% 0.49/0.91 subpopulations( first_movers, efficient_producers, X, Y ), !
% 0.49/0.91 greater_or_equal( Y, skol4( X ) ), greater( zero, growth_rate(
% 0.49/0.91 first_movers, Y ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 2 ==> 4
% 0.49/0.91 3 ==> 2
% 0.49/0.91 4 ==> 3
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (12) {G0,W2,D2,L1,V0,M1} I { environment( skol5 ) }.
% 0.49/0.91 parent0: (72) {G0,W2,D2,L1,V0,M1} { environment( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (13) {G0,W2,D2,L1,V0,M1} I { stable( skol5 ) }.
% 0.49/0.91 parent0: (73) {G0,W2,D2,L1,V0,M1} { stable( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (14) {G0,W11,D3,L2,V2,M1} I { ! greater( X, appear(
% 0.49/0.91 efficient_producers, skol5 ) ), subpopulations( first_movers,
% 0.49/0.91 efficient_producers, skol5, skol6( Y ) ) }.
% 0.49/0.91 parent0: (74) {G0,W11,D3,L2,V2,M2} { ! greater( X, appear(
% 0.49/0.91 efficient_producers, skol5 ) ), subpopulations( first_movers,
% 0.49/0.91 efficient_producers, skol5, skol6( Y ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (15) {G0,W11,D4,L2,V2,M1} I { ! greater( zero, growth_rate(
% 0.49/0.91 first_movers, skol6( Y ) ) ), ! greater( X, appear( efficient_producers,
% 0.49/0.91 skol5 ) ) }.
% 0.49/0.91 parent0: (75) {G0,W11,D4,L2,V2,M2} { ! greater( X, appear(
% 0.49/0.91 efficient_producers, skol5 ) ), ! greater( zero, growth_rate(
% 0.49/0.91 first_movers, skol6( Y ) ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 1
% 0.49/0.91 1 ==> 0
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (16) {G0,W9,D3,L2,V1,M1} I { greater_or_equal( skol6( X ), X )
% 0.49/0.91 , ! greater( X, appear( efficient_producers, skol5 ) ) }.
% 0.49/0.91 parent0: (76) {G0,W9,D3,L2,V1,M2} { ! greater( X, appear(
% 0.49/0.91 efficient_producers, skol5 ) ), greater_or_equal( skol6( X ), X ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 1
% 0.49/0.91 1 ==> 0
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (77) {G1,W10,D3,L3,V3,M3} { greater_or_equal( skol3( X, Y ), Y
% 0.49/0.91 ), ! alpha1( Z ), ! in_environment( Z, Y ) }.
% 0.49/0.91 parent0[1]: (6) {G0,W8,D3,L2,V3,M1} I { greater_or_equal( skol3( Z, Y ), Y
% 0.49/0.91 ), ! alpha2( X, Y ) }.
% 0.49/0.91 parent1[2]: (2) {G0,W8,D2,L3,V2,M1} I { ! alpha1( X ), ! in_environment( X
% 0.49/0.91 , Y ), alpha2( X, Y ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := Z
% 0.49/0.91 Y := Y
% 0.49/0.91 Z := X
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 X := Z
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (17) {G1,W10,D3,L3,V3,M1} R(6,2) { ! alpha1( Z ), !
% 0.49/0.91 in_environment( Z, Y ), greater_or_equal( skol3( X, Y ), Y ) }.
% 0.49/0.91 parent0: (77) {G1,W10,D3,L3,V3,M3} { greater_or_equal( skol3( X, Y ), Y )
% 0.49/0.91 , ! alpha1( Z ), ! in_environment( Z, Y ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 Z := Z
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 2
% 0.49/0.91 1 ==> 0
% 0.49/0.91 2 ==> 1
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (78) {G1,W12,D4,L4,V0,M4} { greater_or_equal( skol6( skol1(
% 0.49/0.91 skol5 ) ), skol1( skol5 ) ), ! environment( skol5 ), ! stable( skol5 ),
% 0.49/0.91 alpha1( skol5 ) }.
% 0.49/0.91 parent0[1]: (16) {G0,W9,D3,L2,V1,M1} I { greater_or_equal( skol6( X ), X )
% 0.49/0.91 , ! greater( X, appear( efficient_producers, skol5 ) ) }.
% 0.49/0.91 parent1[3]: (0) {G0,W12,D3,L4,V1,M1} I { ! environment( X ), ! stable( X )
% 0.49/0.91 , alpha1( X ), greater( skol1( X ), appear( efficient_producers, X ) )
% 0.49/0.91 }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := skol1( skol5 )
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 X := skol5
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (79) {G1,W10,D4,L3,V0,M3} { greater_or_equal( skol6( skol1(
% 0.49/0.91 skol5 ) ), skol1( skol5 ) ), ! stable( skol5 ), alpha1( skol5 ) }.
% 0.49/0.91 parent0[1]: (78) {G1,W12,D4,L4,V0,M4} { greater_or_equal( skol6( skol1(
% 0.49/0.91 skol5 ) ), skol1( skol5 ) ), ! environment( skol5 ), ! stable( skol5 ),
% 0.49/0.91 alpha1( skol5 ) }.
% 0.49/0.91 parent1[0]: (12) {G0,W2,D2,L1,V0,M1} I { environment( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (18) {G1,W10,D4,L3,V0,M1} R(16,0);r(12) { ! stable( skol5 ),
% 0.49/0.91 alpha1( skol5 ), greater_or_equal( skol6( skol1( skol5 ) ), skol1( skol5
% 0.49/0.91 ) ) }.
% 0.49/0.91 parent0: (79) {G1,W10,D4,L3,V0,M3} { greater_or_equal( skol6( skol1( skol5
% 0.49/0.91 ) ), skol1( skol5 ) ), ! stable( skol5 ), alpha1( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 2
% 0.49/0.91 1 ==> 0
% 0.49/0.91 2 ==> 1
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (80) {G1,W12,D4,L3,V4,M3} { ! greater( zero, growth_rate(
% 0.49/0.91 first_movers, skol3( X, Y ) ) ), ! alpha1( Z ), ! in_environment( Z, T )
% 0.49/0.91 }.
% 0.49/0.91 parent0[1]: (5) {G0,W10,D4,L2,V4,M1} I { ! greater( zero, growth_rate(
% 0.49/0.91 first_movers, skol3( Z, T ) ) ), ! alpha2( X, Y ) }.
% 0.49/0.91 parent1[2]: (2) {G0,W8,D2,L3,V2,M1} I { ! alpha1( X ), ! in_environment( X
% 0.49/0.91 , Y ), alpha2( X, Y ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := Z
% 0.49/0.91 Y := T
% 0.49/0.91 Z := X
% 0.49/0.91 T := Y
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 X := Z
% 0.49/0.91 Y := T
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (20) {G1,W12,D4,L3,V4,M1} R(5,2) { ! alpha1( Z ), !
% 0.49/0.91 in_environment( Z, T ), ! greater( zero, growth_rate( first_movers, skol3
% 0.49/0.91 ( X, Y ) ) ) }.
% 0.49/0.91 parent0: (80) {G1,W12,D4,L3,V4,M3} { ! greater( zero, growth_rate(
% 0.49/0.91 first_movers, skol3( X, Y ) ) ), ! alpha1( Z ), ! in_environment( Z, T )
% 0.49/0.91 }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 Z := Z
% 0.49/0.91 T := T
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 2
% 0.49/0.91 1 ==> 0
% 0.49/0.91 2 ==> 1
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (81) {G1,W8,D4,L2,V0,M2} { alpha1( skol5 ), greater_or_equal(
% 0.49/0.91 skol6( skol1( skol5 ) ), skol1( skol5 ) ) }.
% 0.49/0.91 parent0[0]: (18) {G1,W10,D4,L3,V0,M1} R(16,0);r(12) { ! stable( skol5 ),
% 0.49/0.91 alpha1( skol5 ), greater_or_equal( skol6( skol1( skol5 ) ), skol1( skol5
% 0.49/0.91 ) ) }.
% 0.49/0.91 parent1[0]: (13) {G0,W2,D2,L1,V0,M1} I { stable( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (21) {G2,W8,D4,L2,V0,M1} S(18);r(13) { alpha1( skol5 ),
% 0.49/0.91 greater_or_equal( skol6( skol1( skol5 ) ), skol1( skol5 ) ) }.
% 0.49/0.91 parent0: (81) {G1,W8,D4,L2,V0,M2} { alpha1( skol5 ), greater_or_equal(
% 0.49/0.91 skol6( skol1( skol5 ) ), skol1( skol5 ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (82) {G1,W22,D4,L6,V2,M6} { ! environment( skol5 ), ! stable(
% 0.49/0.91 skol5 ), alpha1( skol5 ), ! greater_or_equal( skol6( X ), skol1( skol5 )
% 0.49/0.91 ), greater( zero, growth_rate( first_movers, skol6( X ) ) ), ! greater(
% 0.49/0.91 Y, appear( efficient_producers, skol5 ) ) }.
% 0.49/0.91 parent0[5]: (1) {G0,W20,D3,L6,V2,M1} I { ! environment( X ), ! stable( X )
% 0.49/0.91 , alpha1( X ), ! greater_or_equal( Y, skol1( X ) ), greater( zero,
% 0.49/0.91 growth_rate( first_movers, Y ) ), ! subpopulations( first_movers,
% 0.49/0.91 efficient_producers, X, Y ) }.
% 0.49/0.91 parent1[1]: (14) {G0,W11,D3,L2,V2,M1} I { ! greater( X, appear(
% 0.49/0.91 efficient_producers, skol5 ) ), subpopulations( first_movers,
% 0.49/0.91 efficient_producers, skol5, skol6( Y ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := skol5
% 0.49/0.91 Y := skol6( X )
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 X := Y
% 0.49/0.91 Y := X
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (83) {G1,W20,D4,L5,V2,M5} { ! stable( skol5 ), alpha1( skol5 )
% 0.49/0.91 , ! greater_or_equal( skol6( X ), skol1( skol5 ) ), greater( zero,
% 0.49/0.91 growth_rate( first_movers, skol6( X ) ) ), ! greater( Y, appear(
% 0.49/0.91 efficient_producers, skol5 ) ) }.
% 0.49/0.91 parent0[0]: (82) {G1,W22,D4,L6,V2,M6} { ! environment( skol5 ), ! stable(
% 0.49/0.91 skol5 ), alpha1( skol5 ), ! greater_or_equal( skol6( X ), skol1( skol5 )
% 0.49/0.91 ), greater( zero, growth_rate( first_movers, skol6( X ) ) ), ! greater(
% 0.49/0.91 Y, appear( efficient_producers, skol5 ) ) }.
% 0.49/0.91 parent1[0]: (12) {G0,W2,D2,L1,V0,M1} I { environment( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (24) {G1,W20,D4,L5,V2,M1} R(14,1);r(12) { ! stable( skol5 ),
% 0.49/0.91 alpha1( skol5 ), ! greater_or_equal( skol6( Y ), skol1( skol5 ) ),
% 0.49/0.91 greater( zero, growth_rate( first_movers, skol6( Y ) ) ), ! greater( X,
% 0.49/0.91 appear( efficient_producers, skol5 ) ) }.
% 0.49/0.91 parent0: (83) {G1,W20,D4,L5,V2,M5} { ! stable( skol5 ), alpha1( skol5 ), !
% 0.49/0.91 greater_or_equal( skol6( X ), skol1( skol5 ) ), greater( zero,
% 0.49/0.91 growth_rate( first_movers, skol6( X ) ) ), ! greater( Y, appear(
% 0.49/0.91 efficient_producers, skol5 ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := Y
% 0.49/0.91 Y := X
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 2 ==> 2
% 0.49/0.91 3 ==> 3
% 0.49/0.91 4 ==> 4
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (84) {G1,W12,D4,L4,V1,M4} { ! greater( zero, growth_rate(
% 0.49/0.91 first_movers, skol6( X ) ) ), ! environment( skol5 ), ! stable( skol5 ),
% 0.49/0.91 alpha1( skol5 ) }.
% 0.49/0.91 parent0[1]: (15) {G0,W11,D4,L2,V2,M1} I { ! greater( zero, growth_rate(
% 0.49/0.91 first_movers, skol6( Y ) ) ), ! greater( X, appear( efficient_producers,
% 0.49/0.91 skol5 ) ) }.
% 0.49/0.91 parent1[3]: (0) {G0,W12,D3,L4,V1,M1} I { ! environment( X ), ! stable( X )
% 0.49/0.91 , alpha1( X ), greater( skol1( X ), appear( efficient_producers, X ) )
% 0.49/0.91 }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := skol1( skol5 )
% 0.49/0.91 Y := X
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 X := skol5
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (85) {G1,W10,D4,L3,V1,M3} { ! greater( zero, growth_rate(
% 0.49/0.91 first_movers, skol6( X ) ) ), ! stable( skol5 ), alpha1( skol5 ) }.
% 0.49/0.91 parent0[1]: (84) {G1,W12,D4,L4,V1,M4} { ! greater( zero, growth_rate(
% 0.49/0.91 first_movers, skol6( X ) ) ), ! environment( skol5 ), ! stable( skol5 ),
% 0.49/0.91 alpha1( skol5 ) }.
% 0.49/0.91 parent1[0]: (12) {G0,W2,D2,L1,V0,M1} I { environment( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (25) {G1,W10,D4,L3,V1,M1} R(15,0);r(12) { ! stable( skol5 ),
% 0.49/0.91 alpha1( skol5 ), ! greater( zero, growth_rate( first_movers, skol6( X ) )
% 0.49/0.91 ) }.
% 0.49/0.91 parent0: (85) {G1,W10,D4,L3,V1,M3} { ! greater( zero, growth_rate(
% 0.49/0.91 first_movers, skol6( X ) ) ), ! stable( skol5 ), alpha1( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 2
% 0.49/0.91 1 ==> 0
% 0.49/0.91 2 ==> 1
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (86) {G1,W8,D4,L2,V1,M2} { alpha1( skol5 ), ! greater( zero,
% 0.49/0.91 growth_rate( first_movers, skol6( X ) ) ) }.
% 0.49/0.91 parent0[0]: (25) {G1,W10,D4,L3,V1,M1} R(15,0);r(12) { ! stable( skol5 ),
% 0.49/0.91 alpha1( skol5 ), ! greater( zero, growth_rate( first_movers, skol6( X ) )
% 0.49/0.91 ) }.
% 0.49/0.91 parent1[0]: (13) {G0,W2,D2,L1,V0,M1} I { stable( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (26) {G2,W8,D4,L2,V1,M1} S(25);r(13) { alpha1( skol5 ), !
% 0.49/0.91 greater( zero, growth_rate( first_movers, skol6( X ) ) ) }.
% 0.49/0.91 parent0: (86) {G1,W8,D4,L2,V1,M2} { alpha1( skol5 ), ! greater( zero,
% 0.49/0.91 growth_rate( first_movers, skol6( X ) ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (87) {G1,W20,D4,L5,V2,M5} { ! environment( X ), ! stable( X )
% 0.49/0.91 , ! greater_or_equal( skol3( X, Y ), skol4( X ) ), greater( zero,
% 0.49/0.91 growth_rate( first_movers, skol3( X, Y ) ) ), ! alpha2( X, Y ) }.
% 0.49/0.91 parent0[4]: (11) {G0,W18,D3,L5,V2,M1} I { ! environment( X ), ! stable( X )
% 0.49/0.91 , ! greater_or_equal( Y, skol4( X ) ), greater( zero, growth_rate(
% 0.49/0.91 first_movers, Y ) ), ! subpopulations( first_movers, efficient_producers
% 0.49/0.91 , X, Y ) }.
% 0.49/0.91 parent1[1]: (7) {G0,W10,D3,L2,V2,M1} I { ! alpha2( X, Y ), subpopulations(
% 0.49/0.91 first_movers, efficient_producers, X, skol3( X, Y ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := skol3( X, Y )
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (30) {G1,W20,D4,L5,V2,M1} R(11,7) { ! environment( X ), !
% 0.49/0.91 stable( X ), ! greater_or_equal( skol3( X, Y ), skol4( X ) ), greater(
% 0.49/0.91 zero, growth_rate( first_movers, skol3( X, Y ) ) ), ! alpha2( X, Y ) }.
% 0.49/0.91 parent0: (87) {G1,W20,D4,L5,V2,M5} { ! environment( X ), ! stable( X ), !
% 0.49/0.91 greater_or_equal( skol3( X, Y ), skol4( X ) ), greater( zero, growth_rate
% 0.49/0.91 ( first_movers, skol3( X, Y ) ) ), ! alpha2( X, Y ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 2 ==> 2
% 0.49/0.91 3 ==> 3
% 0.49/0.91 4 ==> 4
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (88) {G1,W18,D4,L4,V2,M4} { alpha1( skol5 ), !
% 0.49/0.91 greater_or_equal( skol6( X ), skol1( skol5 ) ), greater( zero,
% 0.49/0.91 growth_rate( first_movers, skol6( X ) ) ), ! greater( Y, appear(
% 0.49/0.91 efficient_producers, skol5 ) ) }.
% 0.49/0.91 parent0[0]: (24) {G1,W20,D4,L5,V2,M1} R(14,1);r(12) { ! stable( skol5 ),
% 0.49/0.91 alpha1( skol5 ), ! greater_or_equal( skol6( Y ), skol1( skol5 ) ),
% 0.49/0.91 greater( zero, growth_rate( first_movers, skol6( Y ) ) ), ! greater( X,
% 0.49/0.91 appear( efficient_producers, skol5 ) ) }.
% 0.49/0.91 parent1[0]: (13) {G0,W2,D2,L1,V0,M1} I { stable( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := Y
% 0.49/0.91 Y := X
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (89) {G2,W14,D3,L4,V2,M4} { alpha1( skol5 ), alpha1( skol5 ),
% 0.49/0.91 ! greater_or_equal( skol6( X ), skol1( skol5 ) ), ! greater( Y, appear(
% 0.49/0.91 efficient_producers, skol5 ) ) }.
% 0.49/0.91 parent0[1]: (26) {G2,W8,D4,L2,V1,M1} S(25);r(13) { alpha1( skol5 ), !
% 0.49/0.91 greater( zero, growth_rate( first_movers, skol6( X ) ) ) }.
% 0.49/0.91 parent1[2]: (88) {G1,W18,D4,L4,V2,M4} { alpha1( skol5 ), !
% 0.49/0.91 greater_or_equal( skol6( X ), skol1( skol5 ) ), greater( zero,
% 0.49/0.91 growth_rate( first_movers, skol6( X ) ) ), ! greater( Y, appear(
% 0.49/0.91 efficient_producers, skol5 ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 factor: (90) {G2,W12,D3,L3,V2,M3} { alpha1( skol5 ), ! greater_or_equal(
% 0.49/0.91 skol6( X ), skol1( skol5 ) ), ! greater( Y, appear( efficient_producers,
% 0.49/0.91 skol5 ) ) }.
% 0.49/0.91 parent0[0, 1]: (89) {G2,W14,D3,L4,V2,M4} { alpha1( skol5 ), alpha1( skol5
% 0.49/0.91 ), ! greater_or_equal( skol6( X ), skol1( skol5 ) ), ! greater( Y,
% 0.49/0.91 appear( efficient_producers, skol5 ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (39) {G3,W12,D3,L3,V2,M1} S(24);r(13);r(26) { alpha1( skol5 )
% 0.49/0.91 , ! greater_or_equal( skol6( Y ), skol1( skol5 ) ), ! greater( X, appear
% 0.49/0.91 ( efficient_producers, skol5 ) ) }.
% 0.49/0.91 parent0: (90) {G2,W12,D3,L3,V2,M3} { alpha1( skol5 ), ! greater_or_equal(
% 0.49/0.91 skol6( X ), skol1( skol5 ) ), ! greater( Y, appear( efficient_producers,
% 0.49/0.91 skol5 ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := Y
% 0.49/0.91 Y := X
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 2 ==> 2
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (91) {G1,W13,D3,L5,V1,M5} { alpha1( skol5 ), !
% 0.49/0.91 greater_or_equal( skol6( X ), skol1( skol5 ) ), ! environment( skol5 ), !
% 0.49/0.91 stable( skol5 ), alpha1( skol5 ) }.
% 0.49/0.91 parent0[2]: (39) {G3,W12,D3,L3,V2,M1} S(24);r(13);r(26) { alpha1( skol5 ),
% 0.49/0.91 ! greater_or_equal( skol6( Y ), skol1( skol5 ) ), ! greater( X, appear(
% 0.49/0.91 efficient_producers, skol5 ) ) }.
% 0.49/0.91 parent1[3]: (0) {G0,W12,D3,L4,V1,M1} I { ! environment( X ), ! stable( X )
% 0.49/0.91 , alpha1( X ), greater( skol1( X ), appear( efficient_producers, X ) )
% 0.49/0.91 }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := skol1( skol5 )
% 0.49/0.91 Y := X
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 X := skol5
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (93) {G1,W11,D3,L4,V1,M4} { alpha1( skol5 ), !
% 0.49/0.91 greater_or_equal( skol6( X ), skol1( skol5 ) ), ! stable( skol5 ), alpha1
% 0.49/0.91 ( skol5 ) }.
% 0.49/0.91 parent0[2]: (91) {G1,W13,D3,L5,V1,M5} { alpha1( skol5 ), !
% 0.49/0.91 greater_or_equal( skol6( X ), skol1( skol5 ) ), ! environment( skol5 ), !
% 0.49/0.91 stable( skol5 ), alpha1( skol5 ) }.
% 0.49/0.91 parent1[0]: (12) {G0,W2,D2,L1,V0,M1} I { environment( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 factor: (94) {G1,W9,D3,L3,V1,M3} { alpha1( skol5 ), ! greater_or_equal(
% 0.49/0.91 skol6( X ), skol1( skol5 ) ), ! stable( skol5 ) }.
% 0.49/0.91 parent0[0, 3]: (93) {G1,W11,D3,L4,V1,M4} { alpha1( skol5 ), !
% 0.49/0.91 greater_or_equal( skol6( X ), skol1( skol5 ) ), ! stable( skol5 ), alpha1
% 0.49/0.91 ( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (40) {G4,W9,D3,L3,V1,M1} R(39,0);f;r(12) { alpha1( skol5 ), !
% 0.49/0.91 stable( skol5 ), ! greater_or_equal( skol6( X ), skol1( skol5 ) ) }.
% 0.49/0.91 parent0: (94) {G1,W9,D3,L3,V1,M3} { alpha1( skol5 ), ! greater_or_equal(
% 0.49/0.91 skol6( X ), skol1( skol5 ) ), ! stable( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 2
% 0.49/0.91 2 ==> 1
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (95) {G1,W7,D3,L2,V1,M2} { alpha1( skol5 ), ! greater_or_equal
% 0.49/0.91 ( skol6( X ), skol1( skol5 ) ) }.
% 0.49/0.91 parent0[1]: (40) {G4,W9,D3,L3,V1,M1} R(39,0);f;r(12) { alpha1( skol5 ), !
% 0.49/0.91 stable( skol5 ), ! greater_or_equal( skol6( X ), skol1( skol5 ) ) }.
% 0.49/0.91 parent1[0]: (13) {G0,W2,D2,L1,V0,M1} I { stable( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (41) {G5,W7,D3,L2,V1,M1} S(40);r(13) { alpha1( skol5 ), !
% 0.49/0.91 greater_or_equal( skol6( X ), skol1( skol5 ) ) }.
% 0.49/0.91 parent0: (95) {G1,W7,D3,L2,V1,M2} { alpha1( skol5 ), ! greater_or_equal(
% 0.49/0.91 skol6( X ), skol1( skol5 ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (96) {G3,W4,D2,L2,V0,M2} { alpha1( skol5 ), alpha1( skol5 )
% 0.49/0.91 }.
% 0.49/0.91 parent0[1]: (41) {G5,W7,D3,L2,V1,M1} S(40);r(13) { alpha1( skol5 ), !
% 0.49/0.91 greater_or_equal( skol6( X ), skol1( skol5 ) ) }.
% 0.49/0.91 parent1[1]: (21) {G2,W8,D4,L2,V0,M1} S(18);r(13) { alpha1( skol5 ),
% 0.49/0.91 greater_or_equal( skol6( skol1( skol5 ) ), skol1( skol5 ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := skol1( skol5 )
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 factor: (97) {G3,W2,D2,L1,V0,M1} { alpha1( skol5 ) }.
% 0.49/0.91 parent0[0, 1]: (96) {G3,W4,D2,L2,V0,M2} { alpha1( skol5 ), alpha1( skol5 )
% 0.49/0.91 }.
% 0.49/0.91 substitution0:
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (42) {G6,W2,D2,L1,V0,M1} R(41,21);f { alpha1( skol5 ) }.
% 0.49/0.91 parent0: (97) {G3,W2,D2,L1,V0,M1} { alpha1( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (98) {G1,W22,D4,L6,V2,M6} { ! environment( X ), ! stable( X )
% 0.49/0.91 , ! greater_or_equal( skol3( X, Y ), skol4( X ) ), greater( zero,
% 0.49/0.91 growth_rate( first_movers, skol3( X, Y ) ) ), ! alpha1( X ), !
% 0.49/0.91 in_environment( X, Y ) }.
% 0.49/0.91 parent0[4]: (30) {G1,W20,D4,L5,V2,M1} R(11,7) { ! environment( X ), !
% 0.49/0.91 stable( X ), ! greater_or_equal( skol3( X, Y ), skol4( X ) ), greater(
% 0.49/0.91 zero, growth_rate( first_movers, skol3( X, Y ) ) ), ! alpha2( X, Y ) }.
% 0.49/0.91 parent1[2]: (2) {G0,W8,D2,L3,V2,M1} I { ! alpha1( X ), ! in_environment( X
% 0.49/0.91 , Y ), alpha2( X, Y ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (47) {G2,W22,D4,L6,V2,M1} R(30,2) { ! environment( X ), !
% 0.49/0.91 stable( X ), ! greater_or_equal( skol3( X, Y ), skol4( X ) ), ! alpha1( X
% 0.49/0.91 ), ! in_environment( X, Y ), greater( zero, growth_rate( first_movers,
% 0.49/0.91 skol3( X, Y ) ) ) }.
% 0.49/0.91 parent0: (98) {G1,W22,D4,L6,V2,M6} { ! environment( X ), ! stable( X ), !
% 0.49/0.91 greater_or_equal( skol3( X, Y ), skol4( X ) ), greater( zero, growth_rate
% 0.49/0.91 ( first_movers, skol3( X, Y ) ) ), ! alpha1( X ), ! in_environment( X, Y
% 0.49/0.91 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 2 ==> 2
% 0.49/0.91 3 ==> 5
% 0.49/0.91 4 ==> 3
% 0.49/0.91 5 ==> 4
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (99) {G2,W20,D3,L7,V4,M7} { ! alpha1( X ), ! in_environment( X
% 0.49/0.91 , Y ), ! environment( Z ), ! stable( Z ), ! greater_or_equal( skol3( Z, T
% 0.49/0.91 ), skol4( Z ) ), ! alpha1( Z ), ! in_environment( Z, T ) }.
% 0.49/0.91 parent0[2]: (20) {G1,W12,D4,L3,V4,M1} R(5,2) { ! alpha1( Z ), !
% 0.49/0.91 in_environment( Z, T ), ! greater( zero, growth_rate( first_movers, skol3
% 0.49/0.91 ( X, Y ) ) ) }.
% 0.49/0.91 parent1[5]: (47) {G2,W22,D4,L6,V2,M1} R(30,2) { ! environment( X ), !
% 0.49/0.91 stable( X ), ! greater_or_equal( skol3( X, Y ), skol4( X ) ), ! alpha1( X
% 0.49/0.91 ), ! in_environment( X, Y ), greater( zero, growth_rate( first_movers,
% 0.49/0.91 skol3( X, Y ) ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := Z
% 0.49/0.91 Y := T
% 0.49/0.91 Z := X
% 0.49/0.91 T := Y
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 X := Z
% 0.49/0.91 Y := T
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (51) {G3,W20,D3,L7,V4,M1} R(47,20) { ! environment( X ), !
% 0.49/0.91 stable( X ), ! alpha1( X ), ! in_environment( X, Y ), ! alpha1( Z ), !
% 0.49/0.91 in_environment( Z, T ), ! greater_or_equal( skol3( X, Y ), skol4( X ) )
% 0.49/0.91 }.
% 0.49/0.91 parent0: (99) {G2,W20,D3,L7,V4,M7} { ! alpha1( X ), ! in_environment( X, Y
% 0.49/0.91 ), ! environment( Z ), ! stable( Z ), ! greater_or_equal( skol3( Z, T )
% 0.49/0.91 , skol4( Z ) ), ! alpha1( Z ), ! in_environment( Z, T ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 Z := X
% 0.49/0.91 T := Y
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 2
% 0.49/0.91 1 ==> 3
% 0.49/0.91 2 ==> 0
% 0.49/0.91 3 ==> 1
% 0.49/0.91 4 ==> 6
% 0.49/0.91 5 ==> 2
% 0.49/0.91 6 ==> 3
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 factor: (104) {G3,W17,D3,L6,V2,M6} { ! environment( X ), ! stable( X ), !
% 0.49/0.91 alpha1( X ), ! in_environment( X, Y ), ! alpha1( X ), ! greater_or_equal
% 0.49/0.91 ( skol3( X, Y ), skol4( X ) ) }.
% 0.49/0.91 parent0[3, 5]: (51) {G3,W20,D3,L7,V4,M1} R(47,20) { ! environment( X ), !
% 0.49/0.91 stable( X ), ! alpha1( X ), ! in_environment( X, Y ), ! alpha1( Z ), !
% 0.49/0.91 in_environment( Z, T ), ! greater_or_equal( skol3( X, Y ), skol4( X ) )
% 0.49/0.91 }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 Z := X
% 0.49/0.91 T := Y
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 factor: (105) {G3,W15,D3,L5,V2,M5} { ! environment( X ), ! stable( X ), !
% 0.49/0.91 alpha1( X ), ! in_environment( X, Y ), ! greater_or_equal( skol3( X, Y )
% 0.49/0.91 , skol4( X ) ) }.
% 0.49/0.91 parent0[2, 4]: (104) {G3,W17,D3,L6,V2,M6} { ! environment( X ), ! stable(
% 0.49/0.91 X ), ! alpha1( X ), ! in_environment( X, Y ), ! alpha1( X ), !
% 0.49/0.91 greater_or_equal( skol3( X, Y ), skol4( X ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (53) {G4,W15,D3,L5,V2,M1} F(51);f { ! environment( X ), !
% 0.49/0.91 stable( X ), ! alpha1( X ), ! in_environment( X, Y ), ! greater_or_equal
% 0.49/0.91 ( skol3( X, Y ), skol4( X ) ) }.
% 0.49/0.91 parent0: (105) {G3,W15,D3,L5,V2,M5} { ! environment( X ), ! stable( X ), !
% 0.49/0.91 alpha1( X ), ! in_environment( X, Y ), ! greater_or_equal( skol3( X, Y )
% 0.49/0.91 , skol4( X ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := Y
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 2 ==> 2
% 0.49/0.91 3 ==> 3
% 0.49/0.91 4 ==> 4
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (106) {G2,W16,D3,L6,V2,M6} { ! environment( X ), ! stable( X )
% 0.49/0.91 , ! alpha1( X ), ! in_environment( X, skol4( X ) ), ! alpha1( Y ), !
% 0.49/0.91 in_environment( Y, skol4( X ) ) }.
% 0.49/0.91 parent0[4]: (53) {G4,W15,D3,L5,V2,M1} F(51);f { ! environment( X ), !
% 0.49/0.91 stable( X ), ! alpha1( X ), ! in_environment( X, Y ), ! greater_or_equal
% 0.49/0.91 ( skol3( X, Y ), skol4( X ) ) }.
% 0.49/0.91 parent1[2]: (17) {G1,W10,D3,L3,V3,M1} R(6,2) { ! alpha1( Z ), !
% 0.49/0.91 in_environment( Z, Y ), greater_or_equal( skol3( X, Y ), Y ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := skol4( X )
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 X := X
% 0.49/0.91 Y := skol4( X )
% 0.49/0.91 Z := Y
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 factor: (108) {G2,W12,D3,L5,V1,M5} { ! environment( X ), ! stable( X ), !
% 0.49/0.91 alpha1( X ), ! in_environment( X, skol4( X ) ), ! alpha1( X ) }.
% 0.49/0.91 parent0[3, 5]: (106) {G2,W16,D3,L6,V2,M6} { ! environment( X ), ! stable(
% 0.49/0.91 X ), ! alpha1( X ), ! in_environment( X, skol4( X ) ), ! alpha1( Y ), !
% 0.49/0.91 in_environment( Y, skol4( X ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := X
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 factor: (109) {G2,W10,D3,L4,V1,M4} { ! environment( X ), ! stable( X ), !
% 0.49/0.91 alpha1( X ), ! in_environment( X, skol4( X ) ) }.
% 0.49/0.91 parent0[2, 4]: (108) {G2,W12,D3,L5,V1,M5} { ! environment( X ), ! stable(
% 0.49/0.91 X ), ! alpha1( X ), ! in_environment( X, skol4( X ) ), ! alpha1( X ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (113) {G1,W10,D2,L5,V1,M5} { ! environment( X ), ! stable( X )
% 0.49/0.91 , ! alpha1( X ), ! environment( X ), ! stable( X ) }.
% 0.49/0.91 parent0[3]: (109) {G2,W10,D3,L4,V1,M4} { ! environment( X ), ! stable( X )
% 0.49/0.91 , ! alpha1( X ), ! in_environment( X, skol4( X ) ) }.
% 0.49/0.91 parent1[2]: (9) {G0,W8,D3,L3,V1,M1} I { ! environment( X ), ! stable( X ),
% 0.49/0.91 in_environment( X, skol4( X ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (55) {G5,W12,D3,L5,V2,M1} R(53,17);r(9) { ! environment( X ),
% 0.49/0.91 ! stable( X ), ! alpha1( X ), ! alpha1( Y ), ! in_environment( Y, skol4(
% 0.49/0.91 X ) ) }.
% 0.49/0.91 parent0: (113) {G1,W10,D2,L5,V1,M5} { ! environment( X ), ! stable( X ), !
% 0.49/0.91 alpha1( X ), ! environment( X ), ! stable( X ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 2 ==> 2
% 0.49/0.91 3 ==> 0
% 0.49/0.91 4 ==> 1
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 factor: (116) {G5,W10,D3,L4,V1,M4} { ! environment( X ), ! stable( X ), !
% 0.49/0.91 alpha1( X ), ! in_environment( X, skol4( X ) ) }.
% 0.49/0.91 parent0[2, 3]: (55) {G5,W12,D3,L5,V2,M1} R(53,17);r(9) { ! environment( X )
% 0.49/0.91 , ! stable( X ), ! alpha1( X ), ! alpha1( Y ), ! in_environment( Y, skol4
% 0.49/0.91 ( X ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 Y := X
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (117) {G1,W10,D2,L5,V1,M5} { ! environment( X ), ! stable( X )
% 0.49/0.91 , ! alpha1( X ), ! environment( X ), ! stable( X ) }.
% 0.49/0.91 parent0[3]: (116) {G5,W10,D3,L4,V1,M4} { ! environment( X ), ! stable( X )
% 0.49/0.91 , ! alpha1( X ), ! in_environment( X, skol4( X ) ) }.
% 0.49/0.91 parent1[2]: (9) {G0,W8,D3,L3,V1,M1} I { ! environment( X ), ! stable( X ),
% 0.49/0.91 in_environment( X, skol4( X ) ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 factor: (118) {G1,W8,D2,L4,V1,M4} { ! environment( X ), ! stable( X ), !
% 0.49/0.91 alpha1( X ), ! stable( X ) }.
% 0.49/0.91 parent0[0, 3]: (117) {G1,W10,D2,L5,V1,M5} { ! environment( X ), ! stable(
% 0.49/0.91 X ), ! alpha1( X ), ! environment( X ), ! stable( X ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 factor: (119) {G1,W6,D2,L3,V1,M3} { ! environment( X ), ! stable( X ), !
% 0.49/0.91 alpha1( X ) }.
% 0.49/0.91 parent0[1, 3]: (118) {G1,W8,D2,L4,V1,M4} { ! environment( X ), ! stable( X
% 0.49/0.91 ), ! alpha1( X ), ! stable( X ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (56) {G6,W6,D2,L3,V1,M1} F(55);r(9) { ! environment( X ), !
% 0.49/0.91 stable( X ), ! alpha1( X ) }.
% 0.49/0.91 parent0: (119) {G1,W6,D2,L3,V1,M3} { ! environment( X ), ! stable( X ), !
% 0.49/0.91 alpha1( X ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := X
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 1 ==> 1
% 0.49/0.91 2 ==> 2
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (120) {G7,W4,D2,L2,V0,M2} { ! environment( skol5 ), ! stable(
% 0.49/0.91 skol5 ) }.
% 0.49/0.91 parent0[2]: (56) {G6,W6,D2,L3,V1,M1} F(55);r(9) { ! environment( X ), !
% 0.49/0.91 stable( X ), ! alpha1( X ) }.
% 0.49/0.91 parent1[0]: (42) {G6,W2,D2,L1,V0,M1} R(41,21);f { alpha1( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 X := skol5
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (121) {G1,W2,D2,L1,V0,M1} { ! stable( skol5 ) }.
% 0.49/0.91 parent0[0]: (120) {G7,W4,D2,L2,V0,M2} { ! environment( skol5 ), ! stable(
% 0.49/0.91 skol5 ) }.
% 0.49/0.91 parent1[0]: (12) {G0,W2,D2,L1,V0,M1} I { environment( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (57) {G7,W2,D2,L1,V0,M1} R(56,42);r(12) { ! stable( skol5 )
% 0.49/0.91 }.
% 0.49/0.91 parent0: (121) {G1,W2,D2,L1,V0,M1} { ! stable( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 0 ==> 0
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 resolution: (122) {G1,W0,D0,L0,V0,M0} { }.
% 0.49/0.91 parent0[0]: (57) {G7,W2,D2,L1,V0,M1} R(56,42);r(12) { ! stable( skol5 ) }.
% 0.49/0.91 parent1[0]: (13) {G0,W2,D2,L1,V0,M1} I { stable( skol5 ) }.
% 0.49/0.91 substitution0:
% 0.49/0.91 end
% 0.49/0.91 substitution1:
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 subsumption: (58) {G8,W0,D0,L0,V0,M0} S(57);r(13) { }.
% 0.49/0.91 parent0: (122) {G1,W0,D0,L0,V0,M0} { }.
% 0.49/0.91 substitution0:
% 0.49/0.91 end
% 0.49/0.91 permutation0:
% 0.49/0.91 end
% 0.49/0.91
% 0.49/0.91 Proof check complete!
% 0.49/0.91
% 0.49/0.91 Memory use:
% 0.49/0.91
% 0.49/0.91 space for terms: 1351
% 0.49/0.91 space for clauses: 2796
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 clauses generated: 95
% 0.49/0.91 clauses kept: 59
% 0.49/0.91 clauses selected: 43
% 0.49/0.91 clauses deleted: 11
% 0.49/0.91 clauses inuse deleted: 0
% 0.49/0.91
% 0.49/0.91 subsentry: 58
% 0.49/0.91 literals s-matched: 39
% 0.49/0.91 literals matched: 39
% 0.49/0.91 full subsumption: 3
% 0.49/0.91
% 0.49/0.91 checksum: 1108979078
% 0.49/0.91
% 0.49/0.91
% 0.49/0.91 Bliksem ended
%------------------------------------------------------------------------------