TSTP Solution File: MGT024+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : MGT024+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 21:57:42 EDT 2022
% Result : Theorem 0.61s 1.02s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : MGT024+1 : TPTP v8.1.0. Released v2.0.0.
% 0.02/0.10 % Command : bliksem %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % DateTime : Thu Jun 9 07:44:22 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.61/1.02 *** allocated 10000 integers for termspace/termends
% 0.61/1.02 *** allocated 10000 integers for clauses
% 0.61/1.02 *** allocated 10000 integers for justifications
% 0.61/1.02 Bliksem 1.12
% 0.61/1.02
% 0.61/1.02
% 0.61/1.02 Automatic Strategy Selection
% 0.61/1.02
% 0.61/1.02
% 0.61/1.02 Clauses:
% 0.61/1.02
% 0.61/1.02 { ! environment( X ), ! subpopulations( first_movers, efficient_producers,
% 0.61/1.02 X, Y ), in_environment( X, Y ) }.
% 0.61/1.02 { ! environment( X ), ! subpopulations( first_movers, efficient_producers,
% 0.61/1.02 X, Y ), greater( number_of_organizations( X, Y ), zero ) }.
% 0.61/1.02 { ! environment( X ), ! greater_or_equal( Y, equilibrium( X ) ), ! greater
% 0.61/1.02 ( equilibrium( X ), Y ) }.
% 0.61/1.02 { ! environment( X ), ! in_environment( X, Y ), ! greater(
% 0.61/1.02 number_of_organizations( X, Y ), zero ), ! greater( equilibrium( X ), Y )
% 0.61/1.02 , decreases( resources( X, Y ) ) }.
% 0.61/1.02 { ! environment( X ), ! in_environment( X, Y ), ! greater(
% 0.61/1.02 number_of_organizations( X, Y ), zero ), greater( equilibrium( X ), Y ),
% 0.61/1.02 constant( resources( X, Y ) ) }.
% 0.61/1.02 { ! environment( X ), ! in_environment( X, Y ), ! decreases( resources( X,
% 0.61/1.02 Y ) ), ! decreases( number_of_organizations( X, Y ) ) }.
% 0.61/1.02 { ! environment( X ), ! in_environment( X, Y ), ! constant( resources( X, Y
% 0.61/1.02 ) ), constant( number_of_organizations( X, Y ) ) }.
% 0.61/1.02 { alpha2( X ), greater( growth_rate( efficient_producers, X ), zero ) }.
% 0.61/1.02 { alpha2( X ), greater( zero, growth_rate( first_movers, X ) ) }.
% 0.61/1.02 { ! alpha2( X ), alpha1( X ), greater( growth_rate( first_movers, X ), zero
% 0.61/1.02 ) }.
% 0.61/1.02 { ! alpha2( X ), alpha1( X ), greater( zero, growth_rate(
% 0.61/1.02 efficient_producers, X ) ) }.
% 0.61/1.02 { ! alpha1( X ), alpha2( X ) }.
% 0.61/1.02 { ! greater( growth_rate( first_movers, X ), zero ), ! greater( zero,
% 0.61/1.02 growth_rate( efficient_producers, X ) ), alpha2( X ) }.
% 0.61/1.02 { ! alpha1( X ), alpha3( X ), growth_rate( first_movers, X ) = zero }.
% 0.61/1.02 { ! alpha1( X ), alpha3( X ), growth_rate( efficient_producers, X ) = zero
% 0.61/1.02 }.
% 0.61/1.02 { ! alpha3( X ), alpha1( X ) }.
% 0.61/1.02 { ! growth_rate( first_movers, X ) = zero, ! growth_rate(
% 0.61/1.02 efficient_producers, X ) = zero, alpha1( X ) }.
% 0.61/1.02 { ! alpha3( X ), ! environment( Y ), ! subpopulations( first_movers,
% 0.61/1.02 efficient_producers, Y, X ), ! constant( number_of_organizations( Y, X )
% 0.61/1.02 ) }.
% 0.61/1.02 { environment( skol1( Y ) ), alpha3( X ) }.
% 0.61/1.02 { subpopulations( first_movers, efficient_producers, skol1( X ), X ),
% 0.61/1.02 alpha3( X ) }.
% 0.61/1.02 { constant( number_of_organizations( skol1( X ), X ) ), alpha3( X ) }.
% 0.61/1.02 { environment( skol3 ) }.
% 0.61/1.02 { subpopulations( first_movers, efficient_producers, skol3, skol2 ) }.
% 0.61/1.02 { greater_or_equal( skol2, equilibrium( skol3 ) ) }.
% 0.61/1.02 { ! growth_rate( first_movers, skol2 ) = zero, ! growth_rate(
% 0.61/1.02 efficient_producers, skol2 ) = zero }.
% 0.61/1.02 { ! greater( growth_rate( first_movers, skol2 ), zero ), ! greater( zero,
% 0.61/1.02 growth_rate( efficient_producers, skol2 ) ) }.
% 0.61/1.02 { ! greater( growth_rate( efficient_producers, skol2 ), zero ), ! greater(
% 0.61/1.02 zero, growth_rate( first_movers, skol2 ) ) }.
% 0.61/1.02
% 0.61/1.02 percentage equality = 0.083333, percentage horn = 0.629630
% 0.61/1.02 This is a problem with some equality
% 0.61/1.02
% 0.61/1.02
% 0.61/1.02
% 0.61/1.02 Options Used:
% 0.61/1.02
% 0.61/1.02 useres = 1
% 0.61/1.02 useparamod = 1
% 0.61/1.02 useeqrefl = 1
% 0.61/1.02 useeqfact = 1
% 0.61/1.02 usefactor = 1
% 0.61/1.02 usesimpsplitting = 0
% 0.61/1.02 usesimpdemod = 5
% 0.61/1.02 usesimpres = 3
% 0.61/1.02
% 0.61/1.02 resimpinuse = 1000
% 0.61/1.02 resimpclauses = 20000
% 0.61/1.02 substype = eqrewr
% 0.61/1.02 backwardsubs = 1
% 0.61/1.02 selectoldest = 5
% 0.61/1.02
% 0.61/1.02 litorderings [0] = split
% 0.61/1.02 litorderings [1] = extend the termordering, first sorting on arguments
% 0.61/1.02
% 0.61/1.02 termordering = kbo
% 0.61/1.02
% 0.61/1.02 litapriori = 0
% 0.61/1.02 termapriori = 1
% 0.61/1.02 litaposteriori = 0
% 0.61/1.02 termaposteriori = 0
% 0.61/1.02 demodaposteriori = 0
% 0.61/1.02 ordereqreflfact = 0
% 0.61/1.02
% 0.61/1.02 litselect = negord
% 0.61/1.02
% 0.61/1.02 maxweight = 15
% 0.61/1.02 maxdepth = 30000
% 0.61/1.02 maxlength = 115
% 0.61/1.02 maxnrvars = 195
% 0.61/1.02 excuselevel = 1
% 0.61/1.02 increasemaxweight = 1
% 0.61/1.02
% 0.61/1.02 maxselected = 10000000
% 0.61/1.02 maxnrclauses = 10000000
% 0.61/1.02
% 0.61/1.02 showgenerated = 0
% 0.61/1.02 showkept = 0
% 0.61/1.02 showselected = 0
% 0.61/1.02 showdeleted = 0
% 0.61/1.02 showresimp = 1
% 0.61/1.02 showstatus = 2000
% 0.61/1.02
% 0.61/1.02 prologoutput = 0
% 0.61/1.02 nrgoals = 5000000
% 0.61/1.02 totalproof = 1
% 0.61/1.02
% 0.61/1.02 Symbols occurring in the translation:
% 0.61/1.02
% 0.61/1.02 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.61/1.02 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.61/1.02 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.61/1.02 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.61/1.02 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.61/1.02 environment [37, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.61/1.02 first_movers [38, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.61/1.02 efficient_producers [39, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.61/1.02 subpopulations [40, 4] (w:1, o:56, a:1, s:1, b:0),
% 0.61/1.02 in_environment [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.61/1.02 number_of_organizations [42, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.61/1.02 zero [43, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.61/1.02 greater [44, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.61/1.02 equilibrium [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.61/1.02 greater_or_equal [46, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.61/1.02 resources [47, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.61/1.02 decreases [48, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.61/1.02 constant [49, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.61/1.02 growth_rate [50, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.61/1.02 alpha1 [51, 1] (w:1, o:22, a:1, s:1, b:1),
% 0.61/1.02 alpha2 [52, 1] (w:1, o:23, a:1, s:1, b:1),
% 0.61/1.02 alpha3 [53, 1] (w:1, o:24, a:1, s:1, b:1),
% 0.61/1.02 skol1 [54, 1] (w:1, o:25, a:1, s:1, b:1),
% 0.61/1.02 skol2 [55, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.61/1.02 skol3 [56, 0] (w:1, o:12, a:1, s:1, b:1).
% 0.61/1.02
% 0.61/1.02
% 0.61/1.02 Starting Search:
% 0.61/1.02
% 0.61/1.02
% 0.61/1.02 Bliksems!, er is een bewijs:
% 0.61/1.02 % SZS status Theorem
% 0.61/1.02 % SZS output start Refutation
% 0.61/1.02
% 0.61/1.02 (0) {G0,W10,D2,L3,V2,M3} I { ! environment( X ), ! subpopulations(
% 0.61/1.02 first_movers, efficient_producers, X, Y ), in_environment( X, Y ) }.
% 0.61/1.02 (1) {G0,W12,D3,L3,V2,M3} I { ! environment( X ), ! subpopulations(
% 0.61/1.02 first_movers, efficient_producers, X, Y ), greater(
% 0.61/1.02 number_of_organizations( X, Y ), zero ) }.
% 0.61/1.02 (2) {G0,W10,D3,L3,V2,M3} I { ! environment( X ), ! greater_or_equal( Y,
% 0.61/1.02 equilibrium( X ) ), ! greater( equilibrium( X ), Y ) }.
% 0.61/1.02 (4) {G0,W18,D3,L5,V2,M5} I { ! environment( X ), ! in_environment( X, Y ),
% 0.61/1.02 ! greater( number_of_organizations( X, Y ), zero ), greater( equilibrium
% 0.61/1.02 ( X ), Y ), constant( resources( X, Y ) ) }.
% 0.61/1.02 (6) {G0,W13,D3,L4,V2,M4} I { ! environment( X ), ! in_environment( X, Y ),
% 0.61/1.02 ! constant( resources( X, Y ) ), constant( number_of_organizations( X, Y
% 0.61/1.02 ) ) }.
% 0.61/1.02 (7) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( growth_rate(
% 0.61/1.02 efficient_producers, X ), zero ) }.
% 0.61/1.02 (8) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( zero, growth_rate(
% 0.61/1.02 first_movers, X ) ) }.
% 0.61/1.02 (9) {G0,W9,D3,L3,V1,M3} I { ! alpha2( X ), alpha1( X ), greater(
% 0.61/1.02 growth_rate( first_movers, X ), zero ) }.
% 0.61/1.02 (10) {G0,W9,D3,L3,V1,M3} I { ! alpha2( X ), alpha1( X ), greater( zero,
% 0.61/1.02 growth_rate( efficient_producers, X ) ) }.
% 0.61/1.02 (13) {G0,W9,D3,L3,V1,M3} I { ! alpha1( X ), alpha3( X ), growth_rate(
% 0.61/1.02 first_movers, X ) ==> zero }.
% 0.61/1.02 (14) {G0,W9,D3,L3,V1,M3} I { ! alpha1( X ), alpha3( X ), growth_rate(
% 0.61/1.02 efficient_producers, X ) ==> zero }.
% 0.61/1.02 (17) {G0,W13,D3,L4,V2,M4} I { ! alpha3( X ), ! environment( Y ), !
% 0.61/1.02 subpopulations( first_movers, efficient_producers, Y, X ), ! constant(
% 0.61/1.02 number_of_organizations( Y, X ) ) }.
% 0.61/1.02 (21) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 0.61/1.02 (22) {G0,W5,D2,L1,V0,M1} I { subpopulations( first_movers,
% 0.61/1.02 efficient_producers, skol3, skol2 ) }.
% 0.61/1.02 (23) {G0,W4,D3,L1,V0,M1} I { greater_or_equal( skol2, equilibrium( skol3 )
% 0.61/1.02 ) }.
% 0.61/1.02 (24) {G0,W10,D3,L2,V0,M2} I { ! growth_rate( first_movers, skol2 ) ==> zero
% 0.61/1.02 , ! growth_rate( efficient_producers, skol2 ) ==> zero }.
% 0.61/1.02 (25) {G0,W10,D3,L2,V0,M2} I { ! greater( growth_rate( first_movers, skol2 )
% 0.61/1.02 , zero ), ! greater( zero, growth_rate( efficient_producers, skol2 ) )
% 0.61/1.02 }.
% 0.61/1.02 (26) {G0,W10,D3,L2,V0,M2} I { ! greater( growth_rate( efficient_producers,
% 0.61/1.02 skol2 ), zero ), ! greater( zero, growth_rate( first_movers, skol2 ) )
% 0.61/1.02 }.
% 0.61/1.02 (29) {G1,W3,D2,L1,V0,M1} R(22,0);r(21) { in_environment( skol3, skol2 ) }.
% 0.61/1.02 (36) {G1,W5,D3,L1,V0,M1} R(1,22);r(21) { greater( number_of_organizations(
% 0.61/1.02 skol3, skol2 ), zero ) }.
% 0.61/1.02 (43) {G1,W4,D3,L1,V0,M1} R(2,23);r(21) { ! greater( equilibrium( skol3 ),
% 0.61/1.02 skol2 ) }.
% 0.61/1.02 (59) {G2,W11,D3,L3,V0,M3} R(4,36);r(21) { ! in_environment( skol3, skol2 )
% 0.61/1.02 , greater( equilibrium( skol3 ), skol2 ), constant( resources( skol3,
% 0.61/1.02 skol2 ) ) }.
% 0.61/1.02 (91) {G2,W8,D3,L2,V0,M2} R(6,29);r(21) { ! constant( resources( skol3,
% 0.61/1.02 skol2 ) ), constant( number_of_organizations( skol3, skol2 ) ) }.
% 0.61/1.02 (102) {G1,W2,D2,L1,V0,M1} R(26,7);r(8) { alpha2( skol2 ) }.
% 0.61/1.02 (104) {G2,W7,D3,L2,V0,M2} R(102,10) { alpha1( skol2 ), greater( zero,
% 0.61/1.02 growth_rate( efficient_producers, skol2 ) ) }.
% 0.61/1.02 (105) {G2,W7,D3,L2,V0,M2} R(102,9) { alpha1( skol2 ), greater( growth_rate
% 0.61/1.02 ( first_movers, skol2 ), zero ) }.
% 0.61/1.02 (113) {G3,W2,D2,L1,V0,M1} R(25,105);r(104) { alpha1( skol2 ) }.
% 0.61/1.02 (129) {G1,W6,D3,L2,V0,M2} R(17,22);r(21) { ! alpha3( skol2 ), ! constant(
% 0.61/1.02 number_of_organizations( skol3, skol2 ) ) }.
% 0.61/1.02 (134) {G3,W6,D3,L2,V0,M2} R(129,91) { ! alpha3( skol2 ), ! constant(
% 0.61/1.02 resources( skol3, skol2 ) ) }.
% 0.61/1.02 (150) {G4,W2,D2,L1,V0,M1} R(24,13);d(14);q;r(113) { alpha3( skol2 ) }.
% 0.61/1.02 (151) {G5,W4,D3,L1,V0,M1} R(150,134) { ! constant( resources( skol3, skol2
% 0.61/1.02 ) ) }.
% 0.61/1.02 (184) {G6,W0,D0,L0,V0,M0} S(59);r(29);r(43);r(151) { }.
% 0.61/1.02
% 0.61/1.02
% 0.61/1.02 % SZS output end Refutation
% 0.61/1.02 found a proof!
% 0.61/1.02
% 0.61/1.02
% 0.61/1.02 Unprocessed initial clauses:
% 0.61/1.02
% 0.61/1.02 (186) {G0,W10,D2,L3,V2,M3} { ! environment( X ), ! subpopulations(
% 0.61/1.02 first_movers, efficient_producers, X, Y ), in_environment( X, Y ) }.
% 0.61/1.02 (187) {G0,W12,D3,L3,V2,M3} { ! environment( X ), ! subpopulations(
% 0.61/1.02 first_movers, efficient_producers, X, Y ), greater(
% 0.61/1.02 number_of_organizations( X, Y ), zero ) }.
% 0.61/1.02 (188) {G0,W10,D3,L3,V2,M3} { ! environment( X ), ! greater_or_equal( Y,
% 0.61/1.02 equilibrium( X ) ), ! greater( equilibrium( X ), Y ) }.
% 0.61/1.02 (189) {G0,W18,D3,L5,V2,M5} { ! environment( X ), ! in_environment( X, Y )
% 0.61/1.02 , ! greater( number_of_organizations( X, Y ), zero ), ! greater(
% 0.61/1.02 equilibrium( X ), Y ), decreases( resources( X, Y ) ) }.
% 0.61/1.02 (190) {G0,W18,D3,L5,V2,M5} { ! environment( X ), ! in_environment( X, Y )
% 0.61/1.02 , ! greater( number_of_organizations( X, Y ), zero ), greater(
% 0.61/1.02 equilibrium( X ), Y ), constant( resources( X, Y ) ) }.
% 0.61/1.02 (191) {G0,W13,D3,L4,V2,M4} { ! environment( X ), ! in_environment( X, Y )
% 0.61/1.02 , ! decreases( resources( X, Y ) ), ! decreases( number_of_organizations
% 0.61/1.02 ( X, Y ) ) }.
% 0.61/1.02 (192) {G0,W13,D3,L4,V2,M4} { ! environment( X ), ! in_environment( X, Y )
% 0.61/1.02 , ! constant( resources( X, Y ) ), constant( number_of_organizations( X,
% 0.61/1.02 Y ) ) }.
% 0.61/1.02 (193) {G0,W7,D3,L2,V1,M2} { alpha2( X ), greater( growth_rate(
% 0.61/1.02 efficient_producers, X ), zero ) }.
% 0.61/1.02 (194) {G0,W7,D3,L2,V1,M2} { alpha2( X ), greater( zero, growth_rate(
% 0.61/1.02 first_movers, X ) ) }.
% 0.61/1.02 (195) {G0,W9,D3,L3,V1,M3} { ! alpha2( X ), alpha1( X ), greater(
% 0.61/1.02 growth_rate( first_movers, X ), zero ) }.
% 0.61/1.02 (196) {G0,W9,D3,L3,V1,M3} { ! alpha2( X ), alpha1( X ), greater( zero,
% 0.61/1.02 growth_rate( efficient_producers, X ) ) }.
% 0.61/1.02 (197) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha2( X ) }.
% 0.61/1.02 (198) {G0,W12,D3,L3,V1,M3} { ! greater( growth_rate( first_movers, X ),
% 0.61/1.02 zero ), ! greater( zero, growth_rate( efficient_producers, X ) ), alpha2
% 0.61/1.02 ( X ) }.
% 0.61/1.02 (199) {G0,W9,D3,L3,V1,M3} { ! alpha1( X ), alpha3( X ), growth_rate(
% 0.61/1.02 first_movers, X ) = zero }.
% 0.61/1.02 (200) {G0,W9,D3,L3,V1,M3} { ! alpha1( X ), alpha3( X ), growth_rate(
% 0.61/1.02 efficient_producers, X ) = zero }.
% 0.61/1.02 (201) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha1( X ) }.
% 0.61/1.02 (202) {G0,W12,D3,L3,V1,M3} { ! growth_rate( first_movers, X ) = zero, !
% 0.61/1.02 growth_rate( efficient_producers, X ) = zero, alpha1( X ) }.
% 0.61/1.02 (203) {G0,W13,D3,L4,V2,M4} { ! alpha3( X ), ! environment( Y ), !
% 0.61/1.02 subpopulations( first_movers, efficient_producers, Y, X ), ! constant(
% 0.61/1.02 number_of_organizations( Y, X ) ) }.
% 0.61/1.02 (204) {G0,W5,D3,L2,V2,M2} { environment( skol1( Y ) ), alpha3( X ) }.
% 0.61/1.02 (205) {G0,W8,D3,L2,V1,M2} { subpopulations( first_movers,
% 0.61/1.02 efficient_producers, skol1( X ), X ), alpha3( X ) }.
% 0.61/1.02 (206) {G0,W7,D4,L2,V1,M2} { constant( number_of_organizations( skol1( X )
% 0.61/1.02 , X ) ), alpha3( X ) }.
% 0.61/1.02 (207) {G0,W2,D2,L1,V0,M1} { environment( skol3 ) }.
% 0.61/1.02 (208) {G0,W5,D2,L1,V0,M1} { subpopulations( first_movers,
% 0.61/1.02 efficient_producers, skol3, skol2 ) }.
% 0.61/1.02 (209) {G0,W4,D3,L1,V0,M1} { greater_or_equal( skol2, equilibrium( skol3 )
% 0.61/1.02 ) }.
% 0.61/1.02 (210) {G0,W10,D3,L2,V0,M2} { ! growth_rate( first_movers, skol2 ) = zero,
% 0.61/1.02 ! growth_rate( efficient_producers, skol2 ) = zero }.
% 0.61/1.02 (211) {G0,W10,D3,L2,V0,M2} { ! greater( growth_rate( first_movers, skol2 )
% 0.61/1.02 , zero ), ! greater( zero, growth_rate( efficient_producers, skol2 ) )
% 0.61/1.02 }.
% 0.61/1.02 (212) {G0,W10,D3,L2,V0,M2} { ! greater( growth_rate( efficient_producers,
% 0.61/1.02 skol2 ), zero ), ! greater( zero, growth_rate( first_movers, skol2 ) )
% 0.61/1.02 }.
% 0.61/1.02
% 0.61/1.02
% 0.61/1.02 Total Proof:
% 0.61/1.02
% 0.61/1.02 subsumption: (0) {G0,W10,D2,L3,V2,M3} I { ! environment( X ), !
% 0.61/1.02 subpopulations( first_movers, efficient_producers, X, Y ), in_environment
% 0.61/1.02 ( X, Y ) }.
% 0.61/1.02 parent0: (186) {G0,W10,D2,L3,V2,M3} { ! environment( X ), ! subpopulations
% 0.61/1.02 ( first_movers, efficient_producers, X, Y ), in_environment( X, Y ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 X := X
% 0.61/1.02 Y := Y
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 1 ==> 1
% 0.61/1.02 2 ==> 2
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (1) {G0,W12,D3,L3,V2,M3} I { ! environment( X ), !
% 0.61/1.02 subpopulations( first_movers, efficient_producers, X, Y ), greater(
% 0.61/1.02 number_of_organizations( X, Y ), zero ) }.
% 0.61/1.02 parent0: (187) {G0,W12,D3,L3,V2,M3} { ! environment( X ), ! subpopulations
% 0.61/1.02 ( first_movers, efficient_producers, X, Y ), greater(
% 0.61/1.02 number_of_organizations( X, Y ), zero ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 X := X
% 0.61/1.02 Y := Y
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 1 ==> 1
% 0.61/1.02 2 ==> 2
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (2) {G0,W10,D3,L3,V2,M3} I { ! environment( X ), !
% 0.61/1.02 greater_or_equal( Y, equilibrium( X ) ), ! greater( equilibrium( X ), Y )
% 0.61/1.02 }.
% 0.61/1.02 parent0: (188) {G0,W10,D3,L3,V2,M3} { ! environment( X ), !
% 0.61/1.02 greater_or_equal( Y, equilibrium( X ) ), ! greater( equilibrium( X ), Y )
% 0.61/1.02 }.
% 0.61/1.02 substitution0:
% 0.61/1.02 X := X
% 0.61/1.02 Y := Y
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 1 ==> 1
% 0.61/1.02 2 ==> 2
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (4) {G0,W18,D3,L5,V2,M5} I { ! environment( X ), !
% 0.61/1.02 in_environment( X, Y ), ! greater( number_of_organizations( X, Y ), zero
% 0.61/1.02 ), greater( equilibrium( X ), Y ), constant( resources( X, Y ) ) }.
% 0.61/1.02 parent0: (190) {G0,W18,D3,L5,V2,M5} { ! environment( X ), ! in_environment
% 0.61/1.02 ( X, Y ), ! greater( number_of_organizations( X, Y ), zero ), greater(
% 0.61/1.02 equilibrium( X ), Y ), constant( resources( X, Y ) ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 X := X
% 0.61/1.02 Y := Y
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 1 ==> 1
% 0.61/1.02 2 ==> 2
% 0.61/1.02 3 ==> 3
% 0.61/1.02 4 ==> 4
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (6) {G0,W13,D3,L4,V2,M4} I { ! environment( X ), !
% 0.61/1.02 in_environment( X, Y ), ! constant( resources( X, Y ) ), constant(
% 0.61/1.02 number_of_organizations( X, Y ) ) }.
% 0.61/1.02 parent0: (192) {G0,W13,D3,L4,V2,M4} { ! environment( X ), ! in_environment
% 0.61/1.02 ( X, Y ), ! constant( resources( X, Y ) ), constant(
% 0.61/1.02 number_of_organizations( X, Y ) ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 X := X
% 0.61/1.02 Y := Y
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 1 ==> 1
% 0.61/1.02 2 ==> 2
% 0.61/1.02 3 ==> 3
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (7) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( growth_rate
% 0.61/1.02 ( efficient_producers, X ), zero ) }.
% 0.61/1.02 parent0: (193) {G0,W7,D3,L2,V1,M2} { alpha2( X ), greater( growth_rate(
% 0.61/1.02 efficient_producers, X ), zero ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 X := X
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 1 ==> 1
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (8) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( zero,
% 0.61/1.02 growth_rate( first_movers, X ) ) }.
% 0.61/1.02 parent0: (194) {G0,W7,D3,L2,V1,M2} { alpha2( X ), greater( zero,
% 0.61/1.02 growth_rate( first_movers, X ) ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 X := X
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 1 ==> 1
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (9) {G0,W9,D3,L3,V1,M3} I { ! alpha2( X ), alpha1( X ),
% 0.61/1.02 greater( growth_rate( first_movers, X ), zero ) }.
% 0.61/1.02 parent0: (195) {G0,W9,D3,L3,V1,M3} { ! alpha2( X ), alpha1( X ), greater(
% 0.61/1.02 growth_rate( first_movers, X ), zero ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 X := X
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 1 ==> 1
% 0.61/1.02 2 ==> 2
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (10) {G0,W9,D3,L3,V1,M3} I { ! alpha2( X ), alpha1( X ),
% 0.61/1.02 greater( zero, growth_rate( efficient_producers, X ) ) }.
% 0.61/1.02 parent0: (196) {G0,W9,D3,L3,V1,M3} { ! alpha2( X ), alpha1( X ), greater(
% 0.61/1.02 zero, growth_rate( efficient_producers, X ) ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 X := X
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 1 ==> 1
% 0.61/1.02 2 ==> 2
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (13) {G0,W9,D3,L3,V1,M3} I { ! alpha1( X ), alpha3( X ),
% 0.61/1.02 growth_rate( first_movers, X ) ==> zero }.
% 0.61/1.02 parent0: (199) {G0,W9,D3,L3,V1,M3} { ! alpha1( X ), alpha3( X ),
% 0.61/1.02 growth_rate( first_movers, X ) = zero }.
% 0.61/1.02 substitution0:
% 0.61/1.02 X := X
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 1 ==> 1
% 0.61/1.02 2 ==> 2
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (14) {G0,W9,D3,L3,V1,M3} I { ! alpha1( X ), alpha3( X ),
% 0.61/1.02 growth_rate( efficient_producers, X ) ==> zero }.
% 0.61/1.02 parent0: (200) {G0,W9,D3,L3,V1,M3} { ! alpha1( X ), alpha3( X ),
% 0.61/1.02 growth_rate( efficient_producers, X ) = zero }.
% 0.61/1.02 substitution0:
% 0.61/1.02 X := X
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 1 ==> 1
% 0.61/1.02 2 ==> 2
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (17) {G0,W13,D3,L4,V2,M4} I { ! alpha3( X ), ! environment( Y
% 0.61/1.02 ), ! subpopulations( first_movers, efficient_producers, Y, X ), !
% 0.61/1.02 constant( number_of_organizations( Y, X ) ) }.
% 0.61/1.02 parent0: (203) {G0,W13,D3,L4,V2,M4} { ! alpha3( X ), ! environment( Y ), !
% 0.61/1.02 subpopulations( first_movers, efficient_producers, Y, X ), ! constant(
% 0.61/1.02 number_of_organizations( Y, X ) ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 X := X
% 0.61/1.02 Y := Y
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 1 ==> 1
% 0.61/1.02 2 ==> 2
% 0.61/1.02 3 ==> 3
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (21) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 0.61/1.02 parent0: (207) {G0,W2,D2,L1,V0,M1} { environment( skol3 ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (22) {G0,W5,D2,L1,V0,M1} I { subpopulations( first_movers,
% 0.61/1.02 efficient_producers, skol3, skol2 ) }.
% 0.61/1.02 parent0: (208) {G0,W5,D2,L1,V0,M1} { subpopulations( first_movers,
% 0.61/1.02 efficient_producers, skol3, skol2 ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (23) {G0,W4,D3,L1,V0,M1} I { greater_or_equal( skol2,
% 0.61/1.02 equilibrium( skol3 ) ) }.
% 0.61/1.02 parent0: (209) {G0,W4,D3,L1,V0,M1} { greater_or_equal( skol2, equilibrium
% 0.61/1.02 ( skol3 ) ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 *** allocated 15000 integers for clauses
% 0.61/1.02 subsumption: (24) {G0,W10,D3,L2,V0,M2} I { ! growth_rate( first_movers,
% 0.61/1.02 skol2 ) ==> zero, ! growth_rate( efficient_producers, skol2 ) ==> zero
% 0.61/1.02 }.
% 0.61/1.02 parent0: (210) {G0,W10,D3,L2,V0,M2} { ! growth_rate( first_movers, skol2 )
% 0.61/1.02 = zero, ! growth_rate( efficient_producers, skol2 ) = zero }.
% 0.61/1.02 substitution0:
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 1 ==> 1
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (25) {G0,W10,D3,L2,V0,M2} I { ! greater( growth_rate(
% 0.61/1.02 first_movers, skol2 ), zero ), ! greater( zero, growth_rate(
% 0.61/1.02 efficient_producers, skol2 ) ) }.
% 0.61/1.02 parent0: (211) {G0,W10,D3,L2,V0,M2} { ! greater( growth_rate( first_movers
% 0.61/1.02 , skol2 ), zero ), ! greater( zero, growth_rate( efficient_producers,
% 0.61/1.02 skol2 ) ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 1 ==> 1
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (26) {G0,W10,D3,L2,V0,M2} I { ! greater( growth_rate(
% 0.61/1.02 efficient_producers, skol2 ), zero ), ! greater( zero, growth_rate(
% 0.61/1.02 first_movers, skol2 ) ) }.
% 0.61/1.02 parent0: (212) {G0,W10,D3,L2,V0,M2} { ! greater( growth_rate(
% 0.61/1.02 efficient_producers, skol2 ), zero ), ! greater( zero, growth_rate(
% 0.61/1.02 first_movers, skol2 ) ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 1 ==> 1
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 resolution: (260) {G1,W5,D2,L2,V0,M2} { ! environment( skol3 ),
% 0.61/1.02 in_environment( skol3, skol2 ) }.
% 0.61/1.02 parent0[1]: (0) {G0,W10,D2,L3,V2,M3} I { ! environment( X ), !
% 0.61/1.02 subpopulations( first_movers, efficient_producers, X, Y ), in_environment
% 0.61/1.02 ( X, Y ) }.
% 0.61/1.02 parent1[0]: (22) {G0,W5,D2,L1,V0,M1} I { subpopulations( first_movers,
% 0.61/1.02 efficient_producers, skol3, skol2 ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 X := skol3
% 0.61/1.02 Y := skol2
% 0.61/1.02 end
% 0.61/1.02 substitution1:
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 resolution: (261) {G1,W3,D2,L1,V0,M1} { in_environment( skol3, skol2 ) }.
% 0.61/1.02 parent0[0]: (260) {G1,W5,D2,L2,V0,M2} { ! environment( skol3 ),
% 0.61/1.02 in_environment( skol3, skol2 ) }.
% 0.61/1.02 parent1[0]: (21) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 end
% 0.61/1.02 substitution1:
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 subsumption: (29) {G1,W3,D2,L1,V0,M1} R(22,0);r(21) { in_environment( skol3
% 0.61/1.02 , skol2 ) }.
% 0.61/1.02 parent0: (261) {G1,W3,D2,L1,V0,M1} { in_environment( skol3, skol2 ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 end
% 0.61/1.02 permutation0:
% 0.61/1.02 0 ==> 0
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 resolution: (262) {G1,W7,D3,L2,V0,M2} { ! environment( skol3 ), greater(
% 0.61/1.02 number_of_organizations( skol3, skol2 ), zero ) }.
% 0.61/1.02 parent0[1]: (1) {G0,W12,D3,L3,V2,M3} I { ! environment( X ), !
% 0.61/1.02 subpopulations( first_movers, efficient_producers, X, Y ), greater(
% 0.61/1.02 number_of_organizations( X, Y ), zero ) }.
% 0.61/1.02 parent1[0]: (22) {G0,W5,D2,L1,V0,M1} I { subpopulations( first_movers,
% 0.61/1.02 efficient_producers, skol3, skol2 ) }.
% 0.61/1.02 substitution0:
% 0.61/1.02 X := skol3
% 0.61/1.02 Y := skol2
% 0.61/1.02 end
% 0.61/1.02 substitution1:
% 0.61/1.02 end
% 0.61/1.02
% 0.61/1.02 resolution: (263) {G1,W5,D3,L1,V0,M1} { greater( number_of_organizations(
% 0.61/1.02 skol3, skol2 ), zero ) }.
% 0.61/1.02 parent0[0]: (262) {G1,W7,D3,L2,V0,M2} { ! environment( skol3 ), greater(
% 0.61/1.02 number_of_organizations( skol3, skol2 ), zero ) }.
% 0.61/1.03 parent1[0]: (21) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 subsumption: (36) {G1,W5,D3,L1,V0,M1} R(1,22);r(21) { greater(
% 0.61/1.03 number_of_organizations( skol3, skol2 ), zero ) }.
% 0.61/1.03 parent0: (263) {G1,W5,D3,L1,V0,M1} { greater( number_of_organizations(
% 0.61/1.03 skol3, skol2 ), zero ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 permutation0:
% 0.61/1.03 0 ==> 0
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (264) {G1,W6,D3,L2,V0,M2} { ! environment( skol3 ), ! greater
% 0.61/1.03 ( equilibrium( skol3 ), skol2 ) }.
% 0.61/1.03 parent0[1]: (2) {G0,W10,D3,L3,V2,M3} I { ! environment( X ), !
% 0.61/1.03 greater_or_equal( Y, equilibrium( X ) ), ! greater( equilibrium( X ), Y )
% 0.61/1.03 }.
% 0.61/1.03 parent1[0]: (23) {G0,W4,D3,L1,V0,M1} I { greater_or_equal( skol2,
% 0.61/1.03 equilibrium( skol3 ) ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 X := skol3
% 0.61/1.03 Y := skol2
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (265) {G1,W4,D3,L1,V0,M1} { ! greater( equilibrium( skol3 ),
% 0.61/1.03 skol2 ) }.
% 0.61/1.03 parent0[0]: (264) {G1,W6,D3,L2,V0,M2} { ! environment( skol3 ), ! greater
% 0.61/1.03 ( equilibrium( skol3 ), skol2 ) }.
% 0.61/1.03 parent1[0]: (21) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 subsumption: (43) {G1,W4,D3,L1,V0,M1} R(2,23);r(21) { ! greater(
% 0.61/1.03 equilibrium( skol3 ), skol2 ) }.
% 0.61/1.03 parent0: (265) {G1,W4,D3,L1,V0,M1} { ! greater( equilibrium( skol3 ),
% 0.61/1.03 skol2 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 permutation0:
% 0.61/1.03 0 ==> 0
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (266) {G1,W13,D3,L4,V0,M4} { ! environment( skol3 ), !
% 0.61/1.03 in_environment( skol3, skol2 ), greater( equilibrium( skol3 ), skol2 ),
% 0.61/1.03 constant( resources( skol3, skol2 ) ) }.
% 0.61/1.03 parent0[2]: (4) {G0,W18,D3,L5,V2,M5} I { ! environment( X ), !
% 0.61/1.03 in_environment( X, Y ), ! greater( number_of_organizations( X, Y ), zero
% 0.61/1.03 ), greater( equilibrium( X ), Y ), constant( resources( X, Y ) ) }.
% 0.61/1.03 parent1[0]: (36) {G1,W5,D3,L1,V0,M1} R(1,22);r(21) { greater(
% 0.61/1.03 number_of_organizations( skol3, skol2 ), zero ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 X := skol3
% 0.61/1.03 Y := skol2
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (267) {G1,W11,D3,L3,V0,M3} { ! in_environment( skol3, skol2 )
% 0.61/1.03 , greater( equilibrium( skol3 ), skol2 ), constant( resources( skol3,
% 0.61/1.03 skol2 ) ) }.
% 0.61/1.03 parent0[0]: (266) {G1,W13,D3,L4,V0,M4} { ! environment( skol3 ), !
% 0.61/1.03 in_environment( skol3, skol2 ), greater( equilibrium( skol3 ), skol2 ),
% 0.61/1.03 constant( resources( skol3, skol2 ) ) }.
% 0.61/1.03 parent1[0]: (21) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 subsumption: (59) {G2,W11,D3,L3,V0,M3} R(4,36);r(21) { ! in_environment(
% 0.61/1.03 skol3, skol2 ), greater( equilibrium( skol3 ), skol2 ), constant(
% 0.61/1.03 resources( skol3, skol2 ) ) }.
% 0.61/1.03 parent0: (267) {G1,W11,D3,L3,V0,M3} { ! in_environment( skol3, skol2 ),
% 0.61/1.03 greater( equilibrium( skol3 ), skol2 ), constant( resources( skol3, skol2
% 0.61/1.03 ) ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 permutation0:
% 0.61/1.03 0 ==> 0
% 0.61/1.03 1 ==> 1
% 0.61/1.03 2 ==> 2
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (268) {G1,W10,D3,L3,V0,M3} { ! environment( skol3 ), !
% 0.61/1.03 constant( resources( skol3, skol2 ) ), constant( number_of_organizations
% 0.61/1.03 ( skol3, skol2 ) ) }.
% 0.61/1.03 parent0[1]: (6) {G0,W13,D3,L4,V2,M4} I { ! environment( X ), !
% 0.61/1.03 in_environment( X, Y ), ! constant( resources( X, Y ) ), constant(
% 0.61/1.03 number_of_organizations( X, Y ) ) }.
% 0.61/1.03 parent1[0]: (29) {G1,W3,D2,L1,V0,M1} R(22,0);r(21) { in_environment( skol3
% 0.61/1.03 , skol2 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 X := skol3
% 0.61/1.03 Y := skol2
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (269) {G1,W8,D3,L2,V0,M2} { ! constant( resources( skol3,
% 0.61/1.03 skol2 ) ), constant( number_of_organizations( skol3, skol2 ) ) }.
% 0.61/1.03 parent0[0]: (268) {G1,W10,D3,L3,V0,M3} { ! environment( skol3 ), !
% 0.61/1.03 constant( resources( skol3, skol2 ) ), constant( number_of_organizations
% 0.61/1.03 ( skol3, skol2 ) ) }.
% 0.61/1.03 parent1[0]: (21) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 subsumption: (91) {G2,W8,D3,L2,V0,M2} R(6,29);r(21) { ! constant( resources
% 0.61/1.03 ( skol3, skol2 ) ), constant( number_of_organizations( skol3, skol2 ) )
% 0.61/1.03 }.
% 0.61/1.03 parent0: (269) {G1,W8,D3,L2,V0,M2} { ! constant( resources( skol3, skol2 )
% 0.61/1.03 ), constant( number_of_organizations( skol3, skol2 ) ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 permutation0:
% 0.61/1.03 0 ==> 0
% 0.61/1.03 1 ==> 1
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (270) {G1,W7,D3,L2,V0,M2} { ! greater( zero, growth_rate(
% 0.61/1.03 first_movers, skol2 ) ), alpha2( skol2 ) }.
% 0.61/1.03 parent0[0]: (26) {G0,W10,D3,L2,V0,M2} I { ! greater( growth_rate(
% 0.61/1.03 efficient_producers, skol2 ), zero ), ! greater( zero, growth_rate(
% 0.61/1.03 first_movers, skol2 ) ) }.
% 0.61/1.03 parent1[1]: (7) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( growth_rate(
% 0.61/1.03 efficient_producers, X ), zero ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 X := skol2
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (271) {G1,W4,D2,L2,V0,M2} { alpha2( skol2 ), alpha2( skol2 )
% 0.61/1.03 }.
% 0.61/1.03 parent0[0]: (270) {G1,W7,D3,L2,V0,M2} { ! greater( zero, growth_rate(
% 0.61/1.03 first_movers, skol2 ) ), alpha2( skol2 ) }.
% 0.61/1.03 parent1[1]: (8) {G0,W7,D3,L2,V1,M2} I { alpha2( X ), greater( zero,
% 0.61/1.03 growth_rate( first_movers, X ) ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 X := skol2
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 factor: (272) {G1,W2,D2,L1,V0,M1} { alpha2( skol2 ) }.
% 0.61/1.03 parent0[0, 1]: (271) {G1,W4,D2,L2,V0,M2} { alpha2( skol2 ), alpha2( skol2
% 0.61/1.03 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 subsumption: (102) {G1,W2,D2,L1,V0,M1} R(26,7);r(8) { alpha2( skol2 ) }.
% 0.61/1.03 parent0: (272) {G1,W2,D2,L1,V0,M1} { alpha2( skol2 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 permutation0:
% 0.61/1.03 0 ==> 0
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (273) {G1,W7,D3,L2,V0,M2} { alpha1( skol2 ), greater( zero,
% 0.61/1.03 growth_rate( efficient_producers, skol2 ) ) }.
% 0.61/1.03 parent0[0]: (10) {G0,W9,D3,L3,V1,M3} I { ! alpha2( X ), alpha1( X ),
% 0.61/1.03 greater( zero, growth_rate( efficient_producers, X ) ) }.
% 0.61/1.03 parent1[0]: (102) {G1,W2,D2,L1,V0,M1} R(26,7);r(8) { alpha2( skol2 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 X := skol2
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 subsumption: (104) {G2,W7,D3,L2,V0,M2} R(102,10) { alpha1( skol2 ), greater
% 0.61/1.03 ( zero, growth_rate( efficient_producers, skol2 ) ) }.
% 0.61/1.03 parent0: (273) {G1,W7,D3,L2,V0,M2} { alpha1( skol2 ), greater( zero,
% 0.61/1.03 growth_rate( efficient_producers, skol2 ) ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 permutation0:
% 0.61/1.03 0 ==> 0
% 0.61/1.03 1 ==> 1
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (274) {G1,W7,D3,L2,V0,M2} { alpha1( skol2 ), greater(
% 0.61/1.03 growth_rate( first_movers, skol2 ), zero ) }.
% 0.61/1.03 parent0[0]: (9) {G0,W9,D3,L3,V1,M3} I { ! alpha2( X ), alpha1( X ), greater
% 0.61/1.03 ( growth_rate( first_movers, X ), zero ) }.
% 0.61/1.03 parent1[0]: (102) {G1,W2,D2,L1,V0,M1} R(26,7);r(8) { alpha2( skol2 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 X := skol2
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 subsumption: (105) {G2,W7,D3,L2,V0,M2} R(102,9) { alpha1( skol2 ), greater
% 0.61/1.03 ( growth_rate( first_movers, skol2 ), zero ) }.
% 0.61/1.03 parent0: (274) {G1,W7,D3,L2,V0,M2} { alpha1( skol2 ), greater( growth_rate
% 0.61/1.03 ( first_movers, skol2 ), zero ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 permutation0:
% 0.61/1.03 0 ==> 0
% 0.61/1.03 1 ==> 1
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (275) {G1,W7,D3,L2,V0,M2} { ! greater( zero, growth_rate(
% 0.61/1.03 efficient_producers, skol2 ) ), alpha1( skol2 ) }.
% 0.61/1.03 parent0[0]: (25) {G0,W10,D3,L2,V0,M2} I { ! greater( growth_rate(
% 0.61/1.03 first_movers, skol2 ), zero ), ! greater( zero, growth_rate(
% 0.61/1.03 efficient_producers, skol2 ) ) }.
% 0.61/1.03 parent1[1]: (105) {G2,W7,D3,L2,V0,M2} R(102,9) { alpha1( skol2 ), greater(
% 0.61/1.03 growth_rate( first_movers, skol2 ), zero ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (276) {G2,W4,D2,L2,V0,M2} { alpha1( skol2 ), alpha1( skol2 )
% 0.61/1.03 }.
% 0.61/1.03 parent0[0]: (275) {G1,W7,D3,L2,V0,M2} { ! greater( zero, growth_rate(
% 0.61/1.03 efficient_producers, skol2 ) ), alpha1( skol2 ) }.
% 0.61/1.03 parent1[1]: (104) {G2,W7,D3,L2,V0,M2} R(102,10) { alpha1( skol2 ), greater
% 0.61/1.03 ( zero, growth_rate( efficient_producers, skol2 ) ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 factor: (277) {G2,W2,D2,L1,V0,M1} { alpha1( skol2 ) }.
% 0.61/1.03 parent0[0, 1]: (276) {G2,W4,D2,L2,V0,M2} { alpha1( skol2 ), alpha1( skol2
% 0.61/1.03 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 subsumption: (113) {G3,W2,D2,L1,V0,M1} R(25,105);r(104) { alpha1( skol2 )
% 0.61/1.03 }.
% 0.61/1.03 parent0: (277) {G2,W2,D2,L1,V0,M1} { alpha1( skol2 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 permutation0:
% 0.61/1.03 0 ==> 0
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (278) {G1,W8,D3,L3,V0,M3} { ! alpha3( skol2 ), ! environment(
% 0.61/1.03 skol3 ), ! constant( number_of_organizations( skol3, skol2 ) ) }.
% 0.61/1.03 parent0[2]: (17) {G0,W13,D3,L4,V2,M4} I { ! alpha3( X ), ! environment( Y )
% 0.61/1.03 , ! subpopulations( first_movers, efficient_producers, Y, X ), ! constant
% 0.61/1.03 ( number_of_organizations( Y, X ) ) }.
% 0.61/1.03 parent1[0]: (22) {G0,W5,D2,L1,V0,M1} I { subpopulations( first_movers,
% 0.61/1.03 efficient_producers, skol3, skol2 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 X := skol2
% 0.61/1.03 Y := skol3
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (279) {G1,W6,D3,L2,V0,M2} { ! alpha3( skol2 ), ! constant(
% 0.61/1.03 number_of_organizations( skol3, skol2 ) ) }.
% 0.61/1.03 parent0[1]: (278) {G1,W8,D3,L3,V0,M3} { ! alpha3( skol2 ), ! environment(
% 0.61/1.03 skol3 ), ! constant( number_of_organizations( skol3, skol2 ) ) }.
% 0.61/1.03 parent1[0]: (21) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 subsumption: (129) {G1,W6,D3,L2,V0,M2} R(17,22);r(21) { ! alpha3( skol2 ),
% 0.61/1.03 ! constant( number_of_organizations( skol3, skol2 ) ) }.
% 0.61/1.03 parent0: (279) {G1,W6,D3,L2,V0,M2} { ! alpha3( skol2 ), ! constant(
% 0.61/1.03 number_of_organizations( skol3, skol2 ) ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 permutation0:
% 0.61/1.03 0 ==> 0
% 0.61/1.03 1 ==> 1
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (280) {G2,W6,D3,L2,V0,M2} { ! alpha3( skol2 ), ! constant(
% 0.61/1.03 resources( skol3, skol2 ) ) }.
% 0.61/1.03 parent0[1]: (129) {G1,W6,D3,L2,V0,M2} R(17,22);r(21) { ! alpha3( skol2 ), !
% 0.61/1.03 constant( number_of_organizations( skol3, skol2 ) ) }.
% 0.61/1.03 parent1[1]: (91) {G2,W8,D3,L2,V0,M2} R(6,29);r(21) { ! constant( resources
% 0.61/1.03 ( skol3, skol2 ) ), constant( number_of_organizations( skol3, skol2 ) )
% 0.61/1.03 }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 subsumption: (134) {G3,W6,D3,L2,V0,M2} R(129,91) { ! alpha3( skol2 ), !
% 0.61/1.03 constant( resources( skol3, skol2 ) ) }.
% 0.61/1.03 parent0: (280) {G2,W6,D3,L2,V0,M2} { ! alpha3( skol2 ), ! constant(
% 0.61/1.03 resources( skol3, skol2 ) ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 permutation0:
% 0.61/1.03 0 ==> 0
% 0.61/1.03 1 ==> 1
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 eqswap: (281) {G0,W10,D3,L2,V0,M2} { ! zero ==> growth_rate( first_movers
% 0.61/1.03 , skol2 ), ! growth_rate( efficient_producers, skol2 ) ==> zero }.
% 0.61/1.03 parent0[0]: (24) {G0,W10,D3,L2,V0,M2} I { ! growth_rate( first_movers,
% 0.61/1.03 skol2 ) ==> zero, ! growth_rate( efficient_producers, skol2 ) ==> zero
% 0.61/1.03 }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 eqswap: (284) {G0,W9,D3,L3,V1,M3} { zero ==> growth_rate( first_movers, X
% 0.61/1.03 ), ! alpha1( X ), alpha3( X ) }.
% 0.61/1.03 parent0[2]: (13) {G0,W9,D3,L3,V1,M3} I { ! alpha1( X ), alpha3( X ),
% 0.61/1.03 growth_rate( first_movers, X ) ==> zero }.
% 0.61/1.03 substitution0:
% 0.61/1.03 X := X
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (286) {G1,W9,D3,L3,V0,M3} { ! growth_rate( efficient_producers
% 0.61/1.03 , skol2 ) ==> zero, ! alpha1( skol2 ), alpha3( skol2 ) }.
% 0.61/1.03 parent0[0]: (281) {G0,W10,D3,L2,V0,M2} { ! zero ==> growth_rate(
% 0.61/1.03 first_movers, skol2 ), ! growth_rate( efficient_producers, skol2 ) ==>
% 0.61/1.03 zero }.
% 0.61/1.03 parent1[0]: (284) {G0,W9,D3,L3,V1,M3} { zero ==> growth_rate( first_movers
% 0.61/1.03 , X ), ! alpha1( X ), alpha3( X ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 X := skol2
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 paramod: (287) {G1,W11,D2,L5,V0,M5} { ! zero ==> zero, ! alpha1( skol2 ),
% 0.61/1.03 alpha3( skol2 ), ! alpha1( skol2 ), alpha3( skol2 ) }.
% 0.61/1.03 parent0[2]: (14) {G0,W9,D3,L3,V1,M3} I { ! alpha1( X ), alpha3( X ),
% 0.61/1.03 growth_rate( efficient_producers, X ) ==> zero }.
% 0.61/1.03 parent1[0; 2]: (286) {G1,W9,D3,L3,V0,M3} { ! growth_rate(
% 0.61/1.03 efficient_producers, skol2 ) ==> zero, ! alpha1( skol2 ), alpha3( skol2 )
% 0.61/1.03 }.
% 0.61/1.03 substitution0:
% 0.61/1.03 X := skol2
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 factor: (288) {G1,W9,D2,L4,V0,M4} { ! zero ==> zero, ! alpha1( skol2 ),
% 0.61/1.03 alpha3( skol2 ), alpha3( skol2 ) }.
% 0.61/1.03 parent0[1, 3]: (287) {G1,W11,D2,L5,V0,M5} { ! zero ==> zero, ! alpha1(
% 0.61/1.03 skol2 ), alpha3( skol2 ), ! alpha1( skol2 ), alpha3( skol2 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 factor: (289) {G1,W7,D2,L3,V0,M3} { ! zero ==> zero, ! alpha1( skol2 ),
% 0.61/1.03 alpha3( skol2 ) }.
% 0.61/1.03 parent0[2, 3]: (288) {G1,W9,D2,L4,V0,M4} { ! zero ==> zero, ! alpha1(
% 0.61/1.03 skol2 ), alpha3( skol2 ), alpha3( skol2 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 eqrefl: (290) {G0,W4,D2,L2,V0,M2} { ! alpha1( skol2 ), alpha3( skol2 ) }.
% 0.61/1.03 parent0[0]: (289) {G1,W7,D2,L3,V0,M3} { ! zero ==> zero, ! alpha1( skol2 )
% 0.61/1.03 , alpha3( skol2 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (291) {G1,W2,D2,L1,V0,M1} { alpha3( skol2 ) }.
% 0.61/1.03 parent0[0]: (290) {G0,W4,D2,L2,V0,M2} { ! alpha1( skol2 ), alpha3( skol2 )
% 0.61/1.03 }.
% 0.61/1.03 parent1[0]: (113) {G3,W2,D2,L1,V0,M1} R(25,105);r(104) { alpha1( skol2 )
% 0.61/1.03 }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 subsumption: (150) {G4,W2,D2,L1,V0,M1} R(24,13);d(14);q;r(113) { alpha3(
% 0.61/1.03 skol2 ) }.
% 0.61/1.03 parent0: (291) {G1,W2,D2,L1,V0,M1} { alpha3( skol2 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 permutation0:
% 0.61/1.03 0 ==> 0
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (292) {G4,W4,D3,L1,V0,M1} { ! constant( resources( skol3,
% 0.61/1.03 skol2 ) ) }.
% 0.61/1.03 parent0[0]: (134) {G3,W6,D3,L2,V0,M2} R(129,91) { ! alpha3( skol2 ), !
% 0.61/1.03 constant( resources( skol3, skol2 ) ) }.
% 0.61/1.03 parent1[0]: (150) {G4,W2,D2,L1,V0,M1} R(24,13);d(14);q;r(113) { alpha3(
% 0.61/1.03 skol2 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 subsumption: (151) {G5,W4,D3,L1,V0,M1} R(150,134) { ! constant( resources(
% 0.61/1.03 skol3, skol2 ) ) }.
% 0.61/1.03 parent0: (292) {G4,W4,D3,L1,V0,M1} { ! constant( resources( skol3, skol2 )
% 0.61/1.03 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 permutation0:
% 0.61/1.03 0 ==> 0
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (293) {G2,W8,D3,L2,V0,M2} { greater( equilibrium( skol3 ),
% 0.61/1.03 skol2 ), constant( resources( skol3, skol2 ) ) }.
% 0.61/1.03 parent0[0]: (59) {G2,W11,D3,L3,V0,M3} R(4,36);r(21) { ! in_environment(
% 0.61/1.03 skol3, skol2 ), greater( equilibrium( skol3 ), skol2 ), constant(
% 0.61/1.03 resources( skol3, skol2 ) ) }.
% 0.61/1.03 parent1[0]: (29) {G1,W3,D2,L1,V0,M1} R(22,0);r(21) { in_environment( skol3
% 0.61/1.03 , skol2 ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (294) {G2,W4,D3,L1,V0,M1} { constant( resources( skol3, skol2
% 0.61/1.03 ) ) }.
% 0.61/1.03 parent0[0]: (43) {G1,W4,D3,L1,V0,M1} R(2,23);r(21) { ! greater( equilibrium
% 0.61/1.03 ( skol3 ), skol2 ) }.
% 0.61/1.03 parent1[0]: (293) {G2,W8,D3,L2,V0,M2} { greater( equilibrium( skol3 ),
% 0.61/1.03 skol2 ), constant( resources( skol3, skol2 ) ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 resolution: (295) {G3,W0,D0,L0,V0,M0} { }.
% 0.61/1.03 parent0[0]: (151) {G5,W4,D3,L1,V0,M1} R(150,134) { ! constant( resources(
% 0.61/1.03 skol3, skol2 ) ) }.
% 0.61/1.03 parent1[0]: (294) {G2,W4,D3,L1,V0,M1} { constant( resources( skol3, skol2
% 0.61/1.03 ) ) }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 substitution1:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 subsumption: (184) {G6,W0,D0,L0,V0,M0} S(59);r(29);r(43);r(151) { }.
% 0.61/1.03 parent0: (295) {G3,W0,D0,L0,V0,M0} { }.
% 0.61/1.03 substitution0:
% 0.61/1.03 end
% 0.61/1.03 permutation0:
% 0.61/1.03 end
% 0.61/1.03
% 0.61/1.03 Proof check complete!
% 0.61/1.03
% 0.61/1.03 Memory use:
% 0.61/1.03
% 0.61/1.03 space for terms: 2927
% 0.61/1.03 space for clauses: 8756
% 0.61/1.03
% 0.61/1.03
% 0.61/1.03 clauses generated: 457
% 0.61/1.03 clauses kept: 185
% 0.61/1.03 clauses selected: 76
% 0.61/1.03 clauses deleted: 29
% 0.61/1.03 clauses inuse deleted: 0
% 0.61/1.03
% 0.61/1.03 subsentry: 741
% 0.61/1.03 literals s-matched: 403
% 0.61/1.03 literals matched: 403
% 0.61/1.03 full subsumption: 6
% 0.61/1.03
% 0.61/1.03 checksum: -1793093028
% 0.61/1.03
% 0.61/1.03
% 0.61/1.03 Bliksem ended
%------------------------------------------------------------------------------