TSTP Solution File: MGT027+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : MGT027+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 21:57:43 EDT 2022
% Result : Theorem 6.55s 6.96s
% Output : Refutation 6.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT027+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % DateTime : Thu Jun 9 11:58:57 EDT 2022
% 0.15/0.35 % CPUTime :
% 6.55/6.96 *** allocated 10000 integers for termspace/termends
% 6.55/6.96 *** allocated 10000 integers for clauses
% 6.55/6.96 *** allocated 10000 integers for justifications
% 6.55/6.96 Bliksem 1.12
% 6.55/6.96
% 6.55/6.96
% 6.55/6.96 Automatic Strategy Selection
% 6.55/6.96
% 6.55/6.96
% 6.55/6.96 Clauses:
% 6.55/6.96
% 6.55/6.96 { ! environment( Y ), ! stable( Y ), ! in_environment( Y, X ), greater(
% 6.55/6.96 cardinality_at_time( first_movers, skol1( Z ) ), zero ), contracts_from(
% 6.55/6.96 X, first_movers ) }.
% 6.55/6.96 { ! environment( Y ), ! stable( Y ), ! in_environment( Y, X ), ! greater(
% 6.55/6.96 zero, growth_rate( first_movers, skol1( Z ) ) ), contracts_from( X,
% 6.55/6.96 first_movers ) }.
% 6.55/6.96 { ! environment( Y ), ! stable( Y ), ! in_environment( Y, X ),
% 6.55/6.96 greater_or_equal( skol1( X ), X ), contracts_from( X, first_movers ) }.
% 6.55/6.96 { ! environment( X ), ! in_environment( X, Y ), ! greater(
% 6.55/6.96 cardinality_at_time( first_movers, Y ), zero ), ! greater(
% 6.55/6.96 cardinality_at_time( efficient_producers, Y ), zero ), subpopulations(
% 6.55/6.96 first_movers, efficient_producers, X, Y ) }.
% 6.55/6.96 { ! environment( X ), ! stable( X ), ! in_environment( X, Z ), ! greater( Y
% 6.55/6.96 , Z ), in_environment( X, Y ) }.
% 6.55/6.96 { ! environment( X ), ! stable( X ), in_environment( X, appear(
% 6.55/6.96 efficient_producers, X ) ) }.
% 6.55/6.96 { ! greater( X, Z ), ! greater( Z, Y ), greater( X, Y ) }.
% 6.55/6.96 { ! greater_or_equal( X, Y ), greater( X, Y ), X = Y }.
% 6.55/6.96 { ! greater( X, Y ), greater_or_equal( X, Y ) }.
% 6.55/6.96 { ! X = Y, greater_or_equal( X, Y ) }.
% 6.55/6.96 { ! environment( Y ), ! in_environment( Y, X ), ! greater_or_equal( X,
% 6.55/6.96 appear( efficient_producers, Y ) ), greater( cardinality_at_time(
% 6.55/6.96 efficient_producers, X ), zero ) }.
% 6.55/6.96 { ! environment( X ), ! stable( X ), greater( skol2( X ), appear(
% 6.55/6.96 efficient_producers, X ) ) }.
% 6.55/6.96 { ! environment( X ), ! stable( X ), ! subpopulations( first_movers,
% 6.55/6.96 efficient_producers, X, Y ), ! greater_or_equal( Y, skol2( X ) ), greater
% 6.55/6.96 ( zero, growth_rate( first_movers, Y ) ) }.
% 6.55/6.96 { environment( skol3 ) }.
% 6.55/6.96 { stable( skol3 ) }.
% 6.55/6.96 { ! greater( X, appear( efficient_producers, skol3 ) ), ! contracts_from( X
% 6.55/6.96 , first_movers ) }.
% 6.55/6.96
% 6.55/6.96 percentage equality = 0.037037, percentage horn = 0.812500
% 6.55/6.96 This is a problem with some equality
% 6.55/6.96
% 6.55/6.96
% 6.55/6.96
% 6.55/6.96 Options Used:
% 6.55/6.96
% 6.55/6.96 useres = 1
% 6.55/6.96 useparamod = 1
% 6.55/6.96 useeqrefl = 1
% 6.55/6.96 useeqfact = 1
% 6.55/6.96 usefactor = 1
% 6.55/6.96 usesimpsplitting = 0
% 6.55/6.96 usesimpdemod = 5
% 6.55/6.96 usesimpres = 3
% 6.55/6.96
% 6.55/6.96 resimpinuse = 1000
% 6.55/6.96 resimpclauses = 20000
% 6.55/6.96 substype = eqrewr
% 6.55/6.96 backwardsubs = 1
% 6.55/6.96 selectoldest = 5
% 6.55/6.96
% 6.55/6.96 litorderings [0] = split
% 6.55/6.96 litorderings [1] = extend the termordering, first sorting on arguments
% 6.55/6.96
% 6.55/6.96 termordering = kbo
% 6.55/6.96
% 6.55/6.96 litapriori = 0
% 6.55/6.96 termapriori = 1
% 6.55/6.96 litaposteriori = 0
% 6.55/6.96 termaposteriori = 0
% 6.55/6.96 demodaposteriori = 0
% 6.55/6.96 ordereqreflfact = 0
% 6.55/6.96
% 6.55/6.96 litselect = negord
% 6.55/6.96
% 6.55/6.96 maxweight = 15
% 6.55/6.96 maxdepth = 30000
% 6.55/6.96 maxlength = 115
% 6.55/6.96 maxnrvars = 195
% 6.55/6.96 excuselevel = 1
% 6.55/6.96 increasemaxweight = 1
% 6.55/6.96
% 6.55/6.96 maxselected = 10000000
% 6.55/6.96 maxnrclauses = 10000000
% 6.55/6.96
% 6.55/6.96 showgenerated = 0
% 6.55/6.96 showkept = 0
% 6.55/6.96 showselected = 0
% 6.55/6.96 showdeleted = 0
% 6.55/6.96 showresimp = 1
% 6.55/6.96 showstatus = 2000
% 6.55/6.96
% 6.55/6.96 prologoutput = 0
% 6.55/6.96 nrgoals = 5000000
% 6.55/6.96 totalproof = 1
% 6.55/6.96
% 6.55/6.96 Symbols occurring in the translation:
% 6.55/6.96
% 6.55/6.96 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.55/6.96 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 6.55/6.96 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 6.55/6.96 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.55/6.96 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.55/6.96 environment [37, 1] (w:1, o:23, a:1, s:1, b:0),
% 6.55/6.96 stable [38, 1] (w:1, o:24, a:1, s:1, b:0),
% 6.55/6.96 in_environment [39, 2] (w:1, o:51, a:1, s:1, b:0),
% 6.55/6.96 first_movers [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 6.55/6.96 cardinality_at_time [42, 2] (w:1, o:52, a:1, s:1, b:0),
% 6.55/6.96 zero [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 6.55/6.96 greater [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 6.55/6.96 greater_or_equal [45, 2] (w:1, o:54, a:1, s:1, b:0),
% 6.55/6.96 growth_rate [46, 2] (w:1, o:55, a:1, s:1, b:0),
% 6.55/6.96 contracts_from [47, 2] (w:1, o:56, a:1, s:1, b:0),
% 6.55/6.96 efficient_producers [48, 0] (w:1, o:9, a:1, s:1, b:0),
% 6.55/6.96 subpopulations [49, 4] (w:1, o:58, a:1, s:1, b:0),
% 6.55/6.96 appear [52, 2] (w:1, o:57, a:1, s:1, b:0),
% 6.55/6.96 skol1 [56, 1] (w:1, o:25, a:1, s:1, b:1),
% 6.55/6.96 skol2 [57, 1] (w:1, o:26, a:1, s:1, b:1),
% 6.55/6.96 skol3 [58, 0] (w:1, o:17, a:1, s:1, b:1).
% 6.55/6.96
% 6.55/6.96
% 6.55/6.96 Starting Search:
% 6.55/6.96
% 6.55/6.96 *** allocated 15000 integers for clauses
% 6.55/6.96 *** allocated 22500 integers for clauses
% 6.55/6.96 *** allocated 33750 integers for clauses
% 6.55/6.96 *** allocated 15000 integers for termspace/termends
% 6.55/6.96 *** allocated 50625 integers for clauses
% 6.55/6.96 *** allocated 22500 integers for termspace/termends
% 6.55/6.96 Resimplifying inuse:
% 6.55/6.96 Done
% 6.55/6.96
% 6.55/6.96 *** allocated 75937 integers for clauses
% 6.55/6.96 *** allocated 33750 integers for termspace/termends
% 6.55/6.96 *** allocated 113905 integers for clauses
% 6.55/6.96
% 6.55/6.96 Intermediate Status:
% 6.55/6.96 Generated: 11975
% 6.55/6.96 Kept: 2002
% 6.55/6.96 Inuse: 166
% 6.55/6.96 Deleted: 26
% 6.55/6.96 Deletedinuse: 3
% 6.55/6.96
% 6.55/6.96 Resimplifying inuse:
% 6.55/6.96 Done
% 6.55/6.96
% 6.55/6.96 *** allocated 50625 integers for termspace/termends
% 6.55/6.96 *** allocated 170857 integers for clauses
% 6.55/6.96 Resimplifying inuse:
% 6.55/6.96 Done
% 6.55/6.96
% 6.55/6.96 *** allocated 75937 integers for termspace/termends
% 6.55/6.96
% 6.55/6.96 Intermediate Status:
% 6.55/6.96 Generated: 43928
% 6.55/6.96 Kept: 4006
% 6.55/6.96 Inuse: 351
% 6.55/6.96 Deleted: 72
% 6.55/6.96 Deletedinuse: 5
% 6.55/6.96
% 6.55/6.96 Resimplifying inuse:
% 6.55/6.96 Done
% 6.55/6.96
% 6.55/6.96 *** allocated 256285 integers for clauses
% 6.55/6.96 *** allocated 113905 integers for termspace/termends
% 6.55/6.96 Resimplifying inuse:
% 6.55/6.96 Done
% 6.55/6.96
% 6.55/6.96
% 6.55/6.96 Intermediate Status:
% 6.55/6.96 Generated: 77366
% 6.55/6.96 Kept: 6015
% 6.55/6.96 Inuse: 525
% 6.55/6.96 Deleted: 87
% 6.55/6.96 Deletedinuse: 5
% 6.55/6.96
% 6.55/6.96 Resimplifying inuse:
% 6.55/6.96 Done
% 6.55/6.96
% 6.55/6.96 *** allocated 384427 integers for clauses
% 6.55/6.96 *** allocated 170857 integers for termspace/termends
% 6.55/6.96 Resimplifying inuse:
% 6.55/6.96 Done
% 6.55/6.96
% 6.55/6.96
% 6.55/6.96 Intermediate Status:
% 6.55/6.96 Generated: 158638
% 6.55/6.96 Kept: 8045
% 6.55/6.96 Inuse: 618
% 6.55/6.96 Deleted: 93
% 6.55/6.96 Deletedinuse: 9
% 6.55/6.96
% 6.55/6.96 Resimplifying inuse:
% 6.55/6.96 Done
% 6.55/6.96
% 6.55/6.96 Resimplifying inuse:
% 6.55/6.96 Done
% 6.55/6.96
% 6.55/6.96
% 6.55/6.96 Bliksems!, er is een bewijs:
% 6.55/6.96 % SZS status Theorem
% 6.55/6.96 % SZS output start Refutation
% 6.55/6.96
% 6.55/6.96 (0) {G0,W16,D4,L5,V3,M5} I { ! environment( Y ), ! stable( Y ), !
% 6.55/6.96 in_environment( Y, X ), greater( cardinality_at_time( first_movers, skol1
% 6.55/6.96 ( Z ) ), zero ), contracts_from( X, first_movers ) }.
% 6.55/6.96 (1) {G0,W16,D4,L5,V3,M5} I { ! environment( Y ), ! stable( Y ), !
% 6.55/6.96 in_environment( Y, X ), ! greater( zero, growth_rate( first_movers, skol1
% 6.55/6.96 ( Z ) ) ), contracts_from( X, first_movers ) }.
% 6.55/6.96 (2) {G0,W14,D3,L5,V2,M5} I { ! environment( Y ), ! stable( Y ), !
% 6.55/6.96 in_environment( Y, X ), greater_or_equal( skol1( X ), X ), contracts_from
% 6.55/6.96 ( X, first_movers ) }.
% 6.55/6.96 (3) {G0,W20,D3,L5,V2,M5} I { ! environment( X ), ! in_environment( X, Y ),
% 6.55/6.96 ! greater( cardinality_at_time( first_movers, Y ), zero ), ! greater(
% 6.55/6.96 cardinality_at_time( efficient_producers, Y ), zero ), subpopulations(
% 6.55/6.96 first_movers, efficient_producers, X, Y ) }.
% 6.55/6.96 (4) {G0,W13,D2,L5,V3,M5} I { ! environment( X ), ! stable( X ), !
% 6.55/6.96 in_environment( X, Z ), ! greater( Y, Z ), in_environment( X, Y ) }.
% 6.55/6.96 (5) {G0,W9,D3,L3,V1,M3} I { ! environment( X ), ! stable( X ),
% 6.55/6.96 in_environment( X, appear( efficient_producers, X ) ) }.
% 6.55/6.96 (6) {G0,W9,D2,L3,V3,M3} I { ! greater( X, Z ), ! greater( Z, Y ), greater(
% 6.55/6.96 X, Y ) }.
% 6.55/6.96 (7) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ), greater( X, Y ), X
% 6.55/6.96 = Y }.
% 6.55/6.96 (8) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), greater_or_equal( X, Y ) }.
% 6.55/6.96 (9) {G0,W6,D2,L2,V2,M2} I { ! X = Y, greater_or_equal( X, Y ) }.
% 6.55/6.96 (10) {G0,W15,D3,L4,V2,M4} I { ! environment( Y ), ! in_environment( Y, X )
% 6.55/6.96 , ! greater_or_equal( X, appear( efficient_producers, Y ) ), greater(
% 6.55/6.96 cardinality_at_time( efficient_producers, X ), zero ) }.
% 6.55/6.96 (11) {G0,W10,D3,L3,V1,M3} I { ! environment( X ), ! stable( X ), greater(
% 6.55/6.96 skol2( X ), appear( efficient_producers, X ) ) }.
% 6.55/6.96 (12) {G0,W18,D3,L5,V2,M5} I { ! environment( X ), ! stable( X ), !
% 6.55/6.96 subpopulations( first_movers, efficient_producers, X, Y ), !
% 6.55/6.96 greater_or_equal( Y, skol2( X ) ), greater( zero, growth_rate(
% 6.55/6.96 first_movers, Y ) ) }.
% 6.55/6.96 (13) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 6.55/6.96 (14) {G0,W2,D2,L1,V0,M1} I { stable( skol3 ) }.
% 6.55/6.96 (15) {G0,W8,D3,L2,V1,M2} I { ! greater( X, appear( efficient_producers,
% 6.55/6.96 skol3 ) ), ! contracts_from( X, first_movers ) }.
% 6.55/6.96 (16) {G1,W3,D2,L1,V1,M1} Q(9) { greater_or_equal( X, X ) }.
% 6.55/6.96 (18) {G1,W12,D4,L3,V2,M3} R(0,13);r(14) { ! in_environment( skol3, X ),
% 6.55/6.96 greater( cardinality_at_time( first_movers, skol1( Y ) ), zero ),
% 6.55/6.96 contracts_from( X, first_movers ) }.
% 6.55/6.96 (93) {G1,W10,D3,L3,V1,M3} R(2,13);r(14) { ! in_environment( skol3, X ),
% 6.55/6.96 greater_or_equal( skol1( X ), X ), contracts_from( X, first_movers ) }.
% 6.55/6.96 (131) {G1,W18,D3,L4,V1,M4} R(3,13) { ! in_environment( skol3, X ), !
% 6.55/6.96 greater( cardinality_at_time( first_movers, X ), zero ), ! greater(
% 6.55/6.96 cardinality_at_time( efficient_producers, X ), zero ), subpopulations(
% 6.55/6.96 first_movers, efficient_producers, skol3, X ) }.
% 6.55/6.96 (150) {G1,W5,D3,L1,V0,M1} R(5,13);r(14) { in_environment( skol3, appear(
% 6.55/6.96 efficient_producers, skol3 ) ) }.
% 6.55/6.96 (177) {G1,W6,D3,L1,V0,M1} R(11,13);r(14) { greater( skol2( skol3 ), appear
% 6.55/6.96 ( efficient_producers, skol3 ) ) }.
% 6.55/6.96 (185) {G1,W17,D3,L6,V2,M6} R(4,11) { ! environment( X ), ! stable( X ), !
% 6.55/6.96 in_environment( X, appear( efficient_producers, Y ) ), in_environment( X
% 6.55/6.96 , skol2( Y ) ), ! environment( Y ), ! stable( Y ) }.
% 6.55/6.96 (207) {G1,W9,D2,L3,V2,M3} R(4,13);r(14) { ! in_environment( skol3, X ), !
% 6.55/6.96 greater( Y, X ), in_environment( skol3, Y ) }.
% 6.55/6.96 (208) {G2,W8,D3,L3,V1,M3} F(185);f;r(5) { ! environment( X ), ! stable( X )
% 6.55/6.96 , in_environment( X, skol2( X ) ) }.
% 6.55/6.96 (213) {G2,W9,D3,L2,V1,M2} R(177,6) { ! greater( X, skol2( skol3 ) ),
% 6.55/6.96 greater( X, appear( efficient_producers, skol3 ) ) }.
% 6.55/6.96 (214) {G2,W4,D3,L1,V0,M1} R(177,15) { ! contracts_from( skol2( skol3 ),
% 6.55/6.96 first_movers ) }.
% 6.55/6.96 (217) {G3,W9,D3,L2,V1,M2} P(7,177);r(213) { greater( X, appear(
% 6.55/6.96 efficient_producers, skol3 ) ), ! greater_or_equal( X, skol2( skol3 ) )
% 6.55/6.96 }.
% 6.55/6.96 (242) {G2,W11,D4,L3,V1,M3} R(10,5);f;r(16) { ! environment( X ), greater(
% 6.55/6.96 cardinality_at_time( efficient_producers, appear( efficient_producers, X
% 6.55/6.96 ) ), zero ), ! stable( X ) }.
% 6.55/6.96 (270) {G3,W4,D3,L1,V0,M1} R(208,13);r(14) { in_environment( skol3, skol2(
% 6.55/6.96 skol3 ) ) }.
% 6.55/6.96 (275) {G4,W6,D4,L1,V0,M1} R(270,93);r(214) { greater_or_equal( skol1( skol2
% 6.55/6.96 ( skol3 ) ), skol2( skol3 ) ) }.
% 6.55/6.96 (289) {G2,W8,D3,L2,V1,M2} R(207,150) { ! greater( X, appear(
% 6.55/6.96 efficient_producers, skol3 ) ), in_environment( skol3, X ) }.
% 6.55/6.96 (308) {G1,W14,D3,L3,V1,M3} R(12,13);r(14) { ! subpopulations( first_movers
% 6.55/6.96 , efficient_producers, skol3, X ), ! greater_or_equal( X, skol2( skol3 )
% 6.55/6.96 ), greater( zero, growth_rate( first_movers, X ) ) }.
% 6.55/6.96 (334) {G3,W15,D3,L3,V1,M3} R(289,10);r(13) { ! greater( X, appear(
% 6.55/6.96 efficient_producers, skol3 ) ), ! greater_or_equal( X, appear(
% 6.55/6.96 efficient_producers, skol3 ) ), greater( cardinality_at_time(
% 6.55/6.96 efficient_producers, X ), zero ) }.
% 6.55/6.96 (335) {G3,W9,D3,L2,V1,M2} R(289,93);r(15) { ! greater( X, appear(
% 6.55/6.96 efficient_producers, skol3 ) ), greater_or_equal( skol1( X ), X ) }.
% 6.55/6.96 (420) {G4,W6,D4,L1,V1,M1} R(18,270);r(214) { greater( cardinality_at_time(
% 6.55/6.96 first_movers, skol1( X ) ), zero ) }.
% 6.55/6.96 (567) {G4,W7,D3,L2,V1,M2} R(217,289) { ! greater_or_equal( X, skol2( skol3
% 6.55/6.96 ) ), in_environment( skol3, X ) }.
% 6.55/6.96 (568) {G5,W7,D4,L1,V0,M1} R(217,275) { greater( skol1( skol2( skol3 ) ),
% 6.55/6.96 appear( efficient_producers, skol3 ) ) }.
% 6.55/6.96 (581) {G5,W5,D4,L1,V0,M1} R(567,335);r(177) { in_environment( skol3, skol1
% 6.55/6.96 ( skol2( skol3 ) ) ) }.
% 6.55/6.96 (585) {G5,W7,D3,L2,V1,M2} R(567,9) { in_environment( skol3, X ), ! X =
% 6.55/6.96 skol2( skol3 ) }.
% 6.55/6.96 (607) {G6,W8,D4,L2,V1,M2} R(581,207) { ! greater( X, skol1( skol2( skol3 )
% 6.55/6.96 ) ), in_environment( skol3, X ) }.
% 6.55/6.96 (614) {G7,W8,D4,L2,V1,M2} P(7,581);r(607) { in_environment( skol3, X ), !
% 6.55/6.96 greater_or_equal( X, skol1( skol2( skol3 ) ) ) }.
% 6.55/6.96 (618) {G6,W15,D4,L4,V2,M4} R(585,1);r(13) { ! X = skol2( skol3 ), ! stable
% 6.55/6.96 ( skol3 ), ! greater( zero, growth_rate( first_movers, skol1( Y ) ) ),
% 6.55/6.96 contracts_from( X, first_movers ) }.
% 6.55/6.96 (623) {G7,W10,D4,L2,V1,M2} Q(618);r(14) { ! greater( zero, growth_rate(
% 6.55/6.96 first_movers, skol1( X ) ) ), contracts_from( skol2( skol3 ),
% 6.55/6.96 first_movers ) }.
% 6.55/6.96 (651) {G6,W10,D4,L2,V1,M2} R(568,6) { ! greater( X, skol1( skol2( skol3 ) )
% 6.55/6.96 ), greater( X, appear( efficient_producers, skol3 ) ) }.
% 6.55/6.96 (653) {G7,W10,D4,L2,V1,M2} P(7,568);r(651) { greater( X, appear(
% 6.55/6.96 efficient_producers, skol3 ) ), ! greater_or_equal( X, skol1( skol2(
% 6.55/6.96 skol3 ) ) ) }.
% 6.55/6.96 (695) {G8,W8,D4,L2,V1,M2} R(614,9) { in_environment( skol3, X ), ! X =
% 6.55/6.96 skol1( skol2( skol3 ) ) }.
% 6.55/6.96 (1883) {G8,W10,D4,L2,V1,M2} R(653,8) { ! greater_or_equal( X, skol1( skol2
% 6.55/6.96 ( skol3 ) ) ), greater_or_equal( X, appear( efficient_producers, skol3 )
% 6.55/6.96 ) }.
% 6.55/6.96 (1949) {G9,W10,D4,L2,V1,M2} R(1883,9) { greater_or_equal( X, appear(
% 6.55/6.96 efficient_producers, skol3 ) ), ! X = skol1( skol2( skol3 ) ) }.
% 6.55/6.96 (1967) {G8,W6,D4,L1,V1,M1} S(623);r(214) { ! greater( zero, growth_rate(
% 6.55/6.96 first_movers, skol1( X ) ) ) }.
% 6.55/6.96 (4070) {G3,W7,D4,L1,V0,M1} R(242,13);r(14) { greater( cardinality_at_time(
% 6.55/6.96 efficient_producers, appear( efficient_producers, skol3 ) ), zero ) }.
% 6.55/6.96 (4113) {G4,W10,D3,L2,V1,M2} P(7,4070);r(334) { greater( cardinality_at_time
% 6.55/6.96 ( efficient_producers, X ), zero ), ! greater_or_equal( X, appear(
% 6.55/6.96 efficient_producers, skol3 ) ) }.
% 6.55/6.96 (4152) {G10,W10,D4,L2,V1,M2} R(4113,1949) { greater( cardinality_at_time(
% 6.55/6.96 efficient_producers, X ), zero ), ! X = skol1( skol2( skol3 ) ) }.
% 6.55/6.96 (4708) {G11,W15,D4,L3,V1,M3} R(4152,131);r(695) { ! X = skol1( skol2( skol3
% 6.55/6.96 ) ), ! greater( cardinality_at_time( first_movers, X ), zero ),
% 6.55/6.96 subpopulations( first_movers, efficient_producers, skol3, X ) }.
% 6.55/6.96 (4737) {G12,W7,D4,L1,V0,M1} Q(4708);r(420) { subpopulations( first_movers,
% 6.55/6.96 efficient_producers, skol3, skol1( skol2( skol3 ) ) ) }.
% 6.55/6.96 (9283) {G13,W7,D5,L1,V0,M1} R(308,4737);r(275) { greater( zero, growth_rate
% 6.55/6.96 ( first_movers, skol1( skol2( skol3 ) ) ) ) }.
% 6.55/6.96 (9653) {G14,W0,D0,L0,V0,M0} S(9283);r(1967) { }.
% 6.55/6.96
% 6.55/6.96
% 6.55/6.96 % SZS output end Refutation
% 6.55/6.96 found a proof!
% 6.55/6.96
% 6.55/6.96
% 6.55/6.96 Unprocessed initial clauses:
% 6.55/6.96
% 6.55/6.96 (9655) {G0,W16,D4,L5,V3,M5} { ! environment( Y ), ! stable( Y ), !
% 6.55/6.96 in_environment( Y, X ), greater( cardinality_at_time( first_movers, skol1
% 6.55/6.96 ( Z ) ), zero ), contracts_from( X, first_movers ) }.
% 6.55/6.96 (9656) {G0,W16,D4,L5,V3,M5} { ! environment( Y ), ! stable( Y ), !
% 6.55/6.96 in_environment( Y, X ), ! greater( zero, growth_rate( first_movers, skol1
% 6.55/6.96 ( Z ) ) ), contracts_from( X, first_movers ) }.
% 6.55/6.96 (9657) {G0,W14,D3,L5,V2,M5} { ! environment( Y ), ! stable( Y ), !
% 6.55/6.96 in_environment( Y, X ), greater_or_equal( skol1( X ), X ), contracts_from
% 6.55/6.96 ( X, first_movers ) }.
% 6.55/6.96 (9658) {G0,W20,D3,L5,V2,M5} { ! environment( X ), ! in_environment( X, Y )
% 6.55/6.96 , ! greater( cardinality_at_time( first_movers, Y ), zero ), ! greater(
% 6.55/6.96 cardinality_at_time( efficient_producers, Y ), zero ), subpopulations(
% 6.55/6.96 first_movers, efficient_producers, X, Y ) }.
% 6.55/6.96 (9659) {G0,W13,D2,L5,V3,M5} { ! environment( X ), ! stable( X ), !
% 6.55/6.96 in_environment( X, Z ), ! greater( Y, Z ), in_environment( X, Y ) }.
% 6.55/6.96 (9660) {G0,W9,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 6.55/6.96 in_environment( X, appear( efficient_producers, X ) ) }.
% 6.55/6.96 (9661) {G0,W9,D2,L3,V3,M3} { ! greater( X, Z ), ! greater( Z, Y ), greater
% 6.55/6.96 ( X, Y ) }.
% 6.55/6.96 (9662) {G0,W9,D2,L3,V2,M3} { ! greater_or_equal( X, Y ), greater( X, Y ),
% 6.55/6.96 X = Y }.
% 6.55/6.96 (9663) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), greater_or_equal( X, Y )
% 6.55/6.96 }.
% 6.55/6.96 (9664) {G0,W6,D2,L2,V2,M2} { ! X = Y, greater_or_equal( X, Y ) }.
% 6.55/6.96 (9665) {G0,W15,D3,L4,V2,M4} { ! environment( Y ), ! in_environment( Y, X )
% 6.55/6.96 , ! greater_or_equal( X, appear( efficient_producers, Y ) ), greater(
% 6.55/6.96 cardinality_at_time( efficient_producers, X ), zero ) }.
% 6.55/6.96 (9666) {G0,W10,D3,L3,V1,M3} { ! environment( X ), ! stable( X ), greater(
% 6.55/6.96 skol2( X ), appear( efficient_producers, X ) ) }.
% 6.55/6.96 (9667) {G0,W18,D3,L5,V2,M5} { ! environment( X ), ! stable( X ), !
% 6.55/6.96 subpopulations( first_movers, efficient_producers, X, Y ), !
% 6.55/6.96 greater_or_equal( Y, skol2( X ) ), greater( zero, growth_rate(
% 6.55/6.96 first_movers, Y ) ) }.
% 6.55/6.96 (9668) {G0,W2,D2,L1,V0,M1} { environment( skol3 ) }.
% 6.55/6.96 (9669) {G0,W2,D2,L1,V0,M1} { stable( skol3 ) }.
% 6.55/6.96 (9670) {G0,W8,D3,L2,V1,M2} { ! greater( X, appear( efficient_producers,
% 6.55/6.96 skol3 ) ), ! contracts_from( X, first_movers ) }.
% 6.55/6.96
% 6.55/6.96
% 6.55/6.96 Total Proof:
% 6.55/6.96
% 6.55/6.96 subsumption: (0) {G0,W16,D4,L5,V3,M5} I { ! environment( Y ), ! stable( Y )
% 6.55/6.96 , ! in_environment( Y, X ), greater( cardinality_at_time( first_movers,
% 6.55/6.96 skol1( Z ) ), zero ), contracts_from( X, first_movers ) }.
% 6.55/6.96 parent0: (9655) {G0,W16,D4,L5,V3,M5} { ! environment( Y ), ! stable( Y ),
% 6.55/6.96 ! in_environment( Y, X ), greater( cardinality_at_time( first_movers,
% 6.55/6.96 skol1( Z ) ), zero ), contracts_from( X, first_movers ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 Z := Z
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 3 ==> 3
% 6.55/6.96 4 ==> 4
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (1) {G0,W16,D4,L5,V3,M5} I { ! environment( Y ), ! stable( Y )
% 6.55/6.96 , ! in_environment( Y, X ), ! greater( zero, growth_rate( first_movers,
% 6.55/6.96 skol1( Z ) ) ), contracts_from( X, first_movers ) }.
% 6.55/6.96 parent0: (9656) {G0,W16,D4,L5,V3,M5} { ! environment( Y ), ! stable( Y ),
% 6.55/6.96 ! in_environment( Y, X ), ! greater( zero, growth_rate( first_movers,
% 6.55/6.96 skol1( Z ) ) ), contracts_from( X, first_movers ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 Z := Z
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 3 ==> 3
% 6.55/6.96 4 ==> 4
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (2) {G0,W14,D3,L5,V2,M5} I { ! environment( Y ), ! stable( Y )
% 6.55/6.96 , ! in_environment( Y, X ), greater_or_equal( skol1( X ), X ),
% 6.55/6.96 contracts_from( X, first_movers ) }.
% 6.55/6.96 parent0: (9657) {G0,W14,D3,L5,V2,M5} { ! environment( Y ), ! stable( Y ),
% 6.55/6.96 ! in_environment( Y, X ), greater_or_equal( skol1( X ), X ),
% 6.55/6.96 contracts_from( X, first_movers ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 3 ==> 3
% 6.55/6.96 4 ==> 4
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (3) {G0,W20,D3,L5,V2,M5} I { ! environment( X ), !
% 6.55/6.96 in_environment( X, Y ), ! greater( cardinality_at_time( first_movers, Y )
% 6.55/6.96 , zero ), ! greater( cardinality_at_time( efficient_producers, Y ), zero
% 6.55/6.96 ), subpopulations( first_movers, efficient_producers, X, Y ) }.
% 6.55/6.96 parent0: (9658) {G0,W20,D3,L5,V2,M5} { ! environment( X ), !
% 6.55/6.96 in_environment( X, Y ), ! greater( cardinality_at_time( first_movers, Y )
% 6.55/6.96 , zero ), ! greater( cardinality_at_time( efficient_producers, Y ), zero
% 6.55/6.96 ), subpopulations( first_movers, efficient_producers, X, Y ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 3 ==> 3
% 6.55/6.96 4 ==> 4
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (4) {G0,W13,D2,L5,V3,M5} I { ! environment( X ), ! stable( X )
% 6.55/6.96 , ! in_environment( X, Z ), ! greater( Y, Z ), in_environment( X, Y ) }.
% 6.55/6.96 parent0: (9659) {G0,W13,D2,L5,V3,M5} { ! environment( X ), ! stable( X ),
% 6.55/6.96 ! in_environment( X, Z ), ! greater( Y, Z ), in_environment( X, Y ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 Z := Z
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 3 ==> 3
% 6.55/6.96 4 ==> 4
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (5) {G0,W9,D3,L3,V1,M3} I { ! environment( X ), ! stable( X )
% 6.55/6.96 , in_environment( X, appear( efficient_producers, X ) ) }.
% 6.55/6.96 parent0: (9660) {G0,W9,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 6.55/6.96 in_environment( X, appear( efficient_producers, X ) ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (6) {G0,W9,D2,L3,V3,M3} I { ! greater( X, Z ), ! greater( Z, Y
% 6.55/6.96 ), greater( X, Y ) }.
% 6.55/6.96 parent0: (9661) {G0,W9,D2,L3,V3,M3} { ! greater( X, Z ), ! greater( Z, Y )
% 6.55/6.96 , greater( X, Y ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 Z := Z
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (7) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ),
% 6.55/6.96 greater( X, Y ), X = Y }.
% 6.55/6.96 parent0: (9662) {G0,W9,D2,L3,V2,M3} { ! greater_or_equal( X, Y ), greater
% 6.55/6.96 ( X, Y ), X = Y }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (8) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ),
% 6.55/6.96 greater_or_equal( X, Y ) }.
% 6.55/6.96 parent0: (9663) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), greater_or_equal
% 6.55/6.96 ( X, Y ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (9) {G0,W6,D2,L2,V2,M2} I { ! X = Y, greater_or_equal( X, Y )
% 6.55/6.96 }.
% 6.55/6.96 parent0: (9664) {G0,W6,D2,L2,V2,M2} { ! X = Y, greater_or_equal( X, Y )
% 6.55/6.96 }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (10) {G0,W15,D3,L4,V2,M4} I { ! environment( Y ), !
% 6.55/6.96 in_environment( Y, X ), ! greater_or_equal( X, appear(
% 6.55/6.96 efficient_producers, Y ) ), greater( cardinality_at_time(
% 6.55/6.96 efficient_producers, X ), zero ) }.
% 6.55/6.96 parent0: (9665) {G0,W15,D3,L4,V2,M4} { ! environment( Y ), !
% 6.55/6.96 in_environment( Y, X ), ! greater_or_equal( X, appear(
% 6.55/6.96 efficient_producers, Y ) ), greater( cardinality_at_time(
% 6.55/6.96 efficient_producers, X ), zero ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 3 ==> 3
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (11) {G0,W10,D3,L3,V1,M3} I { ! environment( X ), ! stable( X
% 6.55/6.96 ), greater( skol2( X ), appear( efficient_producers, X ) ) }.
% 6.55/6.96 parent0: (9666) {G0,W10,D3,L3,V1,M3} { ! environment( X ), ! stable( X ),
% 6.55/6.96 greater( skol2( X ), appear( efficient_producers, X ) ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (12) {G0,W18,D3,L5,V2,M5} I { ! environment( X ), ! stable( X
% 6.55/6.96 ), ! subpopulations( first_movers, efficient_producers, X, Y ), !
% 6.55/6.96 greater_or_equal( Y, skol2( X ) ), greater( zero, growth_rate(
% 6.55/6.96 first_movers, Y ) ) }.
% 6.55/6.96 parent0: (9667) {G0,W18,D3,L5,V2,M5} { ! environment( X ), ! stable( X ),
% 6.55/6.96 ! subpopulations( first_movers, efficient_producers, X, Y ), !
% 6.55/6.96 greater_or_equal( Y, skol2( X ) ), greater( zero, growth_rate(
% 6.55/6.96 first_movers, Y ) ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 3 ==> 3
% 6.55/6.96 4 ==> 4
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (13) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 6.55/6.96 parent0: (9668) {G0,W2,D2,L1,V0,M1} { environment( skol3 ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (14) {G0,W2,D2,L1,V0,M1} I { stable( skol3 ) }.
% 6.55/6.96 parent0: (9669) {G0,W2,D2,L1,V0,M1} { stable( skol3 ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (15) {G0,W8,D3,L2,V1,M2} I { ! greater( X, appear(
% 6.55/6.96 efficient_producers, skol3 ) ), ! contracts_from( X, first_movers ) }.
% 6.55/6.96 parent0: (9670) {G0,W8,D3,L2,V1,M2} { ! greater( X, appear(
% 6.55/6.96 efficient_producers, skol3 ) ), ! contracts_from( X, first_movers ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 eqswap: (9697) {G0,W6,D2,L2,V2,M2} { ! Y = X, greater_or_equal( X, Y ) }.
% 6.55/6.96 parent0[0]: (9) {G0,W6,D2,L2,V2,M2} I { ! X = Y, greater_or_equal( X, Y )
% 6.55/6.96 }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 eqrefl: (9698) {G0,W3,D2,L1,V1,M1} { greater_or_equal( X, X ) }.
% 6.55/6.96 parent0[0]: (9697) {G0,W6,D2,L2,V2,M2} { ! Y = X, greater_or_equal( X, Y )
% 6.55/6.96 }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := X
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (16) {G1,W3,D2,L1,V1,M1} Q(9) { greater_or_equal( X, X ) }.
% 6.55/6.96 parent0: (9698) {G0,W3,D2,L1,V1,M1} { greater_or_equal( X, X ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 resolution: (9699) {G1,W14,D4,L4,V2,M4} { ! stable( skol3 ), !
% 6.55/6.96 in_environment( skol3, X ), greater( cardinality_at_time( first_movers,
% 6.55/6.96 skol1( Y ) ), zero ), contracts_from( X, first_movers ) }.
% 6.55/6.96 parent0[0]: (0) {G0,W16,D4,L5,V3,M5} I { ! environment( Y ), ! stable( Y )
% 6.55/6.96 , ! in_environment( Y, X ), greater( cardinality_at_time( first_movers,
% 6.55/6.96 skol1( Z ) ), zero ), contracts_from( X, first_movers ) }.
% 6.55/6.96 parent1[0]: (13) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := skol3
% 6.55/6.96 Z := Y
% 6.55/6.96 end
% 6.55/6.96 substitution1:
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 resolution: (9700) {G1,W12,D4,L3,V2,M3} { ! in_environment( skol3, X ),
% 6.55/6.96 greater( cardinality_at_time( first_movers, skol1( Y ) ), zero ),
% 6.55/6.96 contracts_from( X, first_movers ) }.
% 6.55/6.96 parent0[0]: (9699) {G1,W14,D4,L4,V2,M4} { ! stable( skol3 ), !
% 6.55/6.96 in_environment( skol3, X ), greater( cardinality_at_time( first_movers,
% 6.55/6.96 skol1( Y ) ), zero ), contracts_from( X, first_movers ) }.
% 6.55/6.96 parent1[0]: (14) {G0,W2,D2,L1,V0,M1} I { stable( skol3 ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 end
% 6.55/6.96 substitution1:
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (18) {G1,W12,D4,L3,V2,M3} R(0,13);r(14) { ! in_environment(
% 6.55/6.96 skol3, X ), greater( cardinality_at_time( first_movers, skol1( Y ) ),
% 6.55/6.96 zero ), contracts_from( X, first_movers ) }.
% 6.55/6.96 parent0: (9700) {G1,W12,D4,L3,V2,M3} { ! in_environment( skol3, X ),
% 6.55/6.96 greater( cardinality_at_time( first_movers, skol1( Y ) ), zero ),
% 6.55/6.96 contracts_from( X, first_movers ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 resolution: (9701) {G1,W12,D3,L4,V1,M4} { ! stable( skol3 ), !
% 6.55/6.96 in_environment( skol3, X ), greater_or_equal( skol1( X ), X ),
% 6.55/6.96 contracts_from( X, first_movers ) }.
% 6.55/6.96 parent0[0]: (2) {G0,W14,D3,L5,V2,M5} I { ! environment( Y ), ! stable( Y )
% 6.55/6.96 , ! in_environment( Y, X ), greater_or_equal( skol1( X ), X ),
% 6.55/6.96 contracts_from( X, first_movers ) }.
% 6.55/6.96 parent1[0]: (13) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := skol3
% 6.55/6.96 end
% 6.55/6.96 substitution1:
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 resolution: (9702) {G1,W10,D3,L3,V1,M3} { ! in_environment( skol3, X ),
% 6.55/6.96 greater_or_equal( skol1( X ), X ), contracts_from( X, first_movers ) }.
% 6.55/6.96 parent0[0]: (9701) {G1,W12,D3,L4,V1,M4} { ! stable( skol3 ), !
% 6.55/6.96 in_environment( skol3, X ), greater_or_equal( skol1( X ), X ),
% 6.55/6.96 contracts_from( X, first_movers ) }.
% 6.55/6.96 parent1[0]: (14) {G0,W2,D2,L1,V0,M1} I { stable( skol3 ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 end
% 6.55/6.96 substitution1:
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (93) {G1,W10,D3,L3,V1,M3} R(2,13);r(14) { ! in_environment(
% 6.55/6.96 skol3, X ), greater_or_equal( skol1( X ), X ), contracts_from( X,
% 6.55/6.96 first_movers ) }.
% 6.55/6.96 parent0: (9702) {G1,W10,D3,L3,V1,M3} { ! in_environment( skol3, X ),
% 6.55/6.96 greater_or_equal( skol1( X ), X ), contracts_from( X, first_movers ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 resolution: (9703) {G1,W18,D3,L4,V1,M4} { ! in_environment( skol3, X ), !
% 6.55/6.96 greater( cardinality_at_time( first_movers, X ), zero ), ! greater(
% 6.55/6.96 cardinality_at_time( efficient_producers, X ), zero ), subpopulations(
% 6.55/6.96 first_movers, efficient_producers, skol3, X ) }.
% 6.55/6.96 parent0[0]: (3) {G0,W20,D3,L5,V2,M5} I { ! environment( X ), !
% 6.55/6.96 in_environment( X, Y ), ! greater( cardinality_at_time( first_movers, Y )
% 6.55/6.96 , zero ), ! greater( cardinality_at_time( efficient_producers, Y ), zero
% 6.55/6.96 ), subpopulations( first_movers, efficient_producers, X, Y ) }.
% 6.55/6.96 parent1[0]: (13) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := skol3
% 6.55/6.96 Y := X
% 6.55/6.96 end
% 6.55/6.96 substitution1:
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (131) {G1,W18,D3,L4,V1,M4} R(3,13) { ! in_environment( skol3,
% 6.55/6.96 X ), ! greater( cardinality_at_time( first_movers, X ), zero ), ! greater
% 6.55/6.96 ( cardinality_at_time( efficient_producers, X ), zero ), subpopulations(
% 6.55/6.96 first_movers, efficient_producers, skol3, X ) }.
% 6.55/6.96 parent0: (9703) {G1,W18,D3,L4,V1,M4} { ! in_environment( skol3, X ), !
% 6.55/6.96 greater( cardinality_at_time( first_movers, X ), zero ), ! greater(
% 6.55/6.96 cardinality_at_time( efficient_producers, X ), zero ), subpopulations(
% 6.55/6.96 first_movers, efficient_producers, skol3, X ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 3 ==> 3
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 resolution: (9704) {G1,W7,D3,L2,V0,M2} { ! stable( skol3 ), in_environment
% 6.55/6.96 ( skol3, appear( efficient_producers, skol3 ) ) }.
% 6.55/6.96 parent0[0]: (5) {G0,W9,D3,L3,V1,M3} I { ! environment( X ), ! stable( X ),
% 6.55/6.96 in_environment( X, appear( efficient_producers, X ) ) }.
% 6.55/6.96 parent1[0]: (13) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := skol3
% 6.55/6.96 end
% 6.55/6.96 substitution1:
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 resolution: (9705) {G1,W5,D3,L1,V0,M1} { in_environment( skol3, appear(
% 6.55/6.96 efficient_producers, skol3 ) ) }.
% 6.55/6.96 parent0[0]: (9704) {G1,W7,D3,L2,V0,M2} { ! stable( skol3 ), in_environment
% 6.55/6.96 ( skol3, appear( efficient_producers, skol3 ) ) }.
% 6.55/6.96 parent1[0]: (14) {G0,W2,D2,L1,V0,M1} I { stable( skol3 ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 end
% 6.55/6.96 substitution1:
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (150) {G1,W5,D3,L1,V0,M1} R(5,13);r(14) { in_environment(
% 6.55/6.96 skol3, appear( efficient_producers, skol3 ) ) }.
% 6.55/6.96 parent0: (9705) {G1,W5,D3,L1,V0,M1} { in_environment( skol3, appear(
% 6.55/6.96 efficient_producers, skol3 ) ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 resolution: (9706) {G1,W8,D3,L2,V0,M2} { ! stable( skol3 ), greater( skol2
% 6.55/6.96 ( skol3 ), appear( efficient_producers, skol3 ) ) }.
% 6.55/6.96 parent0[0]: (11) {G0,W10,D3,L3,V1,M3} I { ! environment( X ), ! stable( X )
% 6.55/6.96 , greater( skol2( X ), appear( efficient_producers, X ) ) }.
% 6.55/6.96 parent1[0]: (13) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := skol3
% 6.55/6.96 end
% 6.55/6.96 substitution1:
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 resolution: (9707) {G1,W6,D3,L1,V0,M1} { greater( skol2( skol3 ), appear(
% 6.55/6.96 efficient_producers, skol3 ) ) }.
% 6.55/6.96 parent0[0]: (9706) {G1,W8,D3,L2,V0,M2} { ! stable( skol3 ), greater( skol2
% 6.55/6.96 ( skol3 ), appear( efficient_producers, skol3 ) ) }.
% 6.55/6.96 parent1[0]: (14) {G0,W2,D2,L1,V0,M1} I { stable( skol3 ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 end
% 6.55/6.96 substitution1:
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (177) {G1,W6,D3,L1,V0,M1} R(11,13);r(14) { greater( skol2(
% 6.55/6.96 skol3 ), appear( efficient_producers, skol3 ) ) }.
% 6.55/6.96 parent0: (9707) {G1,W6,D3,L1,V0,M1} { greater( skol2( skol3 ), appear(
% 6.55/6.96 efficient_producers, skol3 ) ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 resolution: (9708) {G1,W17,D3,L6,V2,M6} { ! environment( X ), ! stable( X
% 6.55/6.96 ), ! in_environment( X, appear( efficient_producers, Y ) ),
% 6.55/6.96 in_environment( X, skol2( Y ) ), ! environment( Y ), ! stable( Y ) }.
% 6.55/6.96 parent0[3]: (4) {G0,W13,D2,L5,V3,M5} I { ! environment( X ), ! stable( X )
% 6.55/6.96 , ! in_environment( X, Z ), ! greater( Y, Z ), in_environment( X, Y ) }.
% 6.55/6.96 parent1[2]: (11) {G0,W10,D3,L3,V1,M3} I { ! environment( X ), ! stable( X )
% 6.55/6.96 , greater( skol2( X ), appear( efficient_producers, X ) ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := skol2( Y )
% 6.55/6.96 Z := appear( efficient_producers, Y )
% 6.55/6.96 end
% 6.55/6.96 substitution1:
% 6.55/6.96 X := Y
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (185) {G1,W17,D3,L6,V2,M6} R(4,11) { ! environment( X ), !
% 6.55/6.96 stable( X ), ! in_environment( X, appear( efficient_producers, Y ) ),
% 6.55/6.96 in_environment( X, skol2( Y ) ), ! environment( Y ), ! stable( Y ) }.
% 6.55/6.96 parent0: (9708) {G1,W17,D3,L6,V2,M6} { ! environment( X ), ! stable( X ),
% 6.55/6.96 ! in_environment( X, appear( efficient_producers, Y ) ), in_environment(
% 6.55/6.96 X, skol2( Y ) ), ! environment( Y ), ! stable( Y ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 3 ==> 3
% 6.55/6.96 4 ==> 4
% 6.55/6.96 5 ==> 5
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 resolution: (9711) {G1,W11,D2,L4,V2,M4} { ! stable( skol3 ), !
% 6.55/6.96 in_environment( skol3, X ), ! greater( Y, X ), in_environment( skol3, Y )
% 6.55/6.96 }.
% 6.55/6.96 parent0[0]: (4) {G0,W13,D2,L5,V3,M5} I { ! environment( X ), ! stable( X )
% 6.55/6.96 , ! in_environment( X, Z ), ! greater( Y, Z ), in_environment( X, Y ) }.
% 6.55/6.96 parent1[0]: (13) {G0,W2,D2,L1,V0,M1} I { environment( skol3 ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := skol3
% 6.55/6.96 Y := Y
% 6.55/6.96 Z := X
% 6.55/6.96 end
% 6.55/6.96 substitution1:
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 resolution: (9712) {G1,W9,D2,L3,V2,M3} { ! in_environment( skol3, X ), !
% 6.55/6.96 greater( Y, X ), in_environment( skol3, Y ) }.
% 6.55/6.96 parent0[0]: (9711) {G1,W11,D2,L4,V2,M4} { ! stable( skol3 ), !
% 6.55/6.96 in_environment( skol3, X ), ! greater( Y, X ), in_environment( skol3, Y )
% 6.55/6.96 }.
% 6.55/6.96 parent1[0]: (14) {G0,W2,D2,L1,V0,M1} I { stable( skol3 ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 end
% 6.55/6.96 substitution1:
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 subsumption: (207) {G1,W9,D2,L3,V2,M3} R(4,13);r(14) { ! in_environment(
% 6.55/6.96 skol3, X ), ! greater( Y, X ), in_environment( skol3, Y ) }.
% 6.55/6.96 parent0: (9712) {G1,W9,D2,L3,V2,M3} { ! in_environment( skol3, X ), !
% 6.55/6.96 greater( Y, X ), in_environment( skol3, Y ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := Y
% 6.55/6.96 end
% 6.55/6.96 permutation0:
% 6.55/6.96 0 ==> 0
% 6.55/6.96 1 ==> 1
% 6.55/6.96 2 ==> 2
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 factor: (9713) {G1,W15,D3,L5,V1,M5} { ! environment( X ), ! stable( X ), !
% 6.55/6.96 in_environment( X, appear( efficient_producers, X ) ), in_environment( X
% 6.55/6.96 , skol2( X ) ), ! stable( X ) }.
% 6.55/6.96 parent0[0, 4]: (185) {G1,W17,D3,L6,V2,M6} R(4,11) { ! environment( X ), !
% 6.55/6.96 stable( X ), ! in_environment( X, appear( efficient_producers, Y ) ),
% 6.55/6.96 in_environment( X, skol2( Y ) ), ! environment( Y ), ! stable( Y ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 Y := X
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 resolution: (9715) {G1,W14,D3,L6,V1,M6} { ! environment( X ), ! stable( X
% 6.55/6.96 ), in_environment( X, skol2( X ) ), ! stable( X ), ! environment( X ), !
% 6.55/6.96 stable( X ) }.
% 6.55/6.96 parent0[2]: (9713) {G1,W15,D3,L5,V1,M5} { ! environment( X ), ! stable( X
% 6.55/6.96 ), ! in_environment( X, appear( efficient_producers, X ) ),
% 6.55/6.96 in_environment( X, skol2( X ) ), ! stable( X ) }.
% 6.55/6.96 parent1[2]: (5) {G0,W9,D3,L3,V1,M3} I { ! environment( X ), ! stable( X ),
% 6.55/6.96 in_environment( X, appear( efficient_producers, X ) ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 end
% 6.55/6.96 substitution1:
% 6.55/6.96 X := X
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 factor: (9716) {G1,W12,D3,L5,V1,M5} { ! environment( X ), ! stable( X ),
% 6.55/6.96 in_environment( X, skol2( X ) ), ! stable( X ), ! stable( X ) }.
% 6.55/6.96 parent0[0, 4]: (9715) {G1,W14,D3,L6,V1,M6} { ! environment( X ), ! stable
% 6.55/6.96 ( X ), in_environment( X, skol2( X ) ), ! stable( X ), ! environment( X )
% 6.55/6.96 , ! stable( X ) }.
% 6.55/6.96 substitution0:
% 6.55/6.96 X := X
% 6.55/6.96 end
% 6.55/6.96
% 6.55/6.96 factor: (9717) {G1,W10,D3,L4,V1,M4} { ! environment( X ), ! stable( X ),
% 6.55/6.96 in_environment( X, skol2( X ) ), ! stable( X ) }.
% 6.55/6.96 parent0[1, 3]: (9716) {G1,W12,D3,L5,V1,M5} { ! environment( X Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------