TSTP Solution File: SET002+4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET002+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 22:45:06 EDT 2022
% Result : Theorem 21.97s 22.29s
% Output : Refutation 21.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET002+4 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.10 % Command : bliksem %s
% 0.09/0.30 % Computer : n023.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % DateTime : Mon Jul 11 02:51:40 EDT 2022
% 0.09/0.30 % CPUTime :
% 7.12/7.42 *** allocated 10000 integers for termspace/termends
% 7.12/7.42 *** allocated 10000 integers for clauses
% 7.12/7.42 *** allocated 10000 integers for justifications
% 7.12/7.42 Bliksem 1.12
% 7.12/7.42
% 7.12/7.42
% 7.12/7.42 Automatic Strategy Selection
% 7.12/7.42
% 7.12/7.42
% 7.12/7.42 Clauses:
% 7.12/7.42
% 7.12/7.42 { ! subset( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 7.12/7.42 { ! member( skol1( Z, Y ), Y ), subset( X, Y ) }.
% 7.12/7.42 { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 7.12/7.42 { ! equal_set( X, Y ), subset( X, Y ) }.
% 7.12/7.42 { ! equal_set( X, Y ), subset( Y, X ) }.
% 7.12/7.42 { ! subset( X, Y ), ! subset( Y, X ), equal_set( X, Y ) }.
% 7.12/7.42 { ! member( X, power_set( Y ) ), subset( X, Y ) }.
% 7.12/7.42 { ! subset( X, Y ), member( X, power_set( Y ) ) }.
% 7.12/7.42 { ! member( X, intersection( Y, Z ) ), member( X, Y ) }.
% 7.12/7.42 { ! member( X, intersection( Y, Z ) ), member( X, Z ) }.
% 7.12/7.42 { ! member( X, Y ), ! member( X, Z ), member( X, intersection( Y, Z ) ) }.
% 7.12/7.42 { ! member( X, union( Y, Z ) ), member( X, Y ), member( X, Z ) }.
% 7.12/7.42 { ! member( X, Y ), member( X, union( Y, Z ) ) }.
% 7.12/7.42 { ! member( X, Z ), member( X, union( Y, Z ) ) }.
% 7.12/7.42 { ! member( X, empty_set ) }.
% 7.12/7.42 { ! member( X, difference( Z, Y ) ), member( X, Z ) }.
% 7.12/7.42 { ! member( X, difference( Z, Y ) ), ! member( X, Y ) }.
% 7.12/7.42 { ! member( X, Z ), member( X, Y ), member( X, difference( Z, Y ) ) }.
% 7.12/7.42 { ! member( X, singleton( Y ) ), X = Y }.
% 7.12/7.42 { ! X = Y, member( X, singleton( Y ) ) }.
% 7.12/7.42 { ! member( X, unordered_pair( Y, Z ) ), X = Y, X = Z }.
% 7.12/7.42 { ! X = Y, member( X, unordered_pair( Y, Z ) ) }.
% 7.12/7.42 { ! X = Z, member( X, unordered_pair( Y, Z ) ) }.
% 7.12/7.42 { ! member( X, sum( Y ) ), member( skol2( Z, Y ), Y ) }.
% 7.12/7.42 { ! member( X, sum( Y ) ), member( X, skol2( X, Y ) ) }.
% 7.12/7.42 { ! member( Z, Y ), ! member( X, Z ), member( X, sum( Y ) ) }.
% 7.12/7.42 { ! member( X, product( Y ) ), ! member( Z, Y ), member( X, Z ) }.
% 7.12/7.42 { member( skol3( Z, Y ), Y ), member( X, product( Y ) ) }.
% 7.12/7.42 { ! member( X, skol3( X, Y ) ), member( X, product( Y ) ) }.
% 7.12/7.42 { ! equal_set( union( skol4, skol4 ), skol4 ) }.
% 7.12/7.42
% 7.12/7.42 percentage equality = 0.090909, percentage horn = 0.833333
% 7.12/7.42 This is a problem with some equality
% 7.12/7.42
% 7.12/7.42
% 7.12/7.42
% 7.12/7.42 Options Used:
% 7.12/7.42
% 7.12/7.42 useres = 1
% 7.12/7.42 useparamod = 1
% 7.12/7.42 useeqrefl = 1
% 7.12/7.42 useeqfact = 1
% 7.12/7.42 usefactor = 1
% 7.12/7.42 usesimpsplitting = 0
% 7.12/7.42 usesimpdemod = 5
% 7.12/7.42 usesimpres = 3
% 7.12/7.42
% 7.12/7.42 resimpinuse = 1000
% 7.12/7.42 resimpclauses = 20000
% 7.12/7.42 substype = eqrewr
% 7.12/7.42 backwardsubs = 1
% 7.12/7.42 selectoldest = 5
% 7.12/7.42
% 7.12/7.42 litorderings [0] = split
% 7.12/7.42 litorderings [1] = extend the termordering, first sorting on arguments
% 7.12/7.42
% 7.12/7.42 termordering = kbo
% 7.12/7.42
% 7.12/7.42 litapriori = 0
% 7.12/7.42 termapriori = 1
% 7.12/7.42 litaposteriori = 0
% 7.12/7.42 termaposteriori = 0
% 7.12/7.42 demodaposteriori = 0
% 7.12/7.42 ordereqreflfact = 0
% 7.12/7.42
% 7.12/7.42 litselect = negord
% 7.12/7.42
% 7.12/7.42 maxweight = 15
% 7.12/7.42 maxdepth = 30000
% 7.12/7.42 maxlength = 115
% 7.12/7.42 maxnrvars = 195
% 7.12/7.42 excuselevel = 1
% 7.12/7.42 increasemaxweight = 1
% 7.12/7.42
% 7.12/7.42 maxselected = 10000000
% 7.12/7.42 maxnrclauses = 10000000
% 7.12/7.42
% 7.12/7.42 showgenerated = 0
% 7.12/7.42 showkept = 0
% 7.12/7.42 showselected = 0
% 7.12/7.42 showdeleted = 0
% 7.12/7.42 showresimp = 1
% 7.12/7.42 showstatus = 2000
% 7.12/7.42
% 7.12/7.42 prologoutput = 0
% 7.12/7.42 nrgoals = 5000000
% 7.12/7.42 totalproof = 1
% 7.12/7.42
% 7.12/7.42 Symbols occurring in the translation:
% 7.12/7.42
% 7.12/7.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 7.12/7.42 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 7.12/7.42 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 7.12/7.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.12/7.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.12/7.42 subset [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 7.12/7.42 member [39, 2] (w:1, o:47, a:1, s:1, b:0),
% 7.12/7.42 equal_set [40, 2] (w:1, o:49, a:1, s:1, b:0),
% 7.12/7.42 power_set [41, 1] (w:1, o:18, a:1, s:1, b:0),
% 7.12/7.42 intersection [42, 2] (w:1, o:50, a:1, s:1, b:0),
% 7.12/7.42 union [43, 2] (w:1, o:51, a:1, s:1, b:0),
% 7.12/7.42 empty_set [44, 0] (w:1, o:9, a:1, s:1, b:0),
% 7.12/7.42 difference [46, 2] (w:1, o:48, a:1, s:1, b:0),
% 7.12/7.42 singleton [47, 1] (w:1, o:19, a:1, s:1, b:0),
% 7.12/7.42 unordered_pair [48, 2] (w:1, o:52, a:1, s:1, b:0),
% 7.12/7.42 sum [49, 1] (w:1, o:20, a:1, s:1, b:0),
% 7.12/7.42 product [51, 1] (w:1, o:21, a:1, s:1, b:0),
% 7.12/7.42 skol1 [52, 2] (w:1, o:53, a:1, s:1, b:1),
% 7.12/7.42 skol2 [53, 2] (w:1, o:54, a:1, s:1, b:1),
% 7.12/7.42 skol3 [54, 2] (w:1, o:55, a:1, s:1, b:1),
% 7.12/7.42 skol4 [55, 0] (w:1, o:12, a:1, s:1, b:1).
% 7.12/7.42
% 7.12/7.42
% 7.12/7.42 Starting Search:
% 7.12/7.42
% 7.12/7.42 *** allocated 15000 integers for clauses
% 7.12/7.42 *** allocated 22500 integers for clauses
% 21.97/22.29 *** allocated 33750 integers for clauses
% 21.97/22.29 *** allocated 50625 integers for clauses
% 21.97/22.29 *** allocated 15000 integers for termspace/termends
% 21.97/22.29 *** allocated 75937 integers for clauses
% 21.97/22.29 *** allocated 22500 integers for termspace/termends
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 *** allocated 113905 integers for clauses
% 21.97/22.29 *** allocated 33750 integers for termspace/termends
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 2892
% 21.97/22.29 Kept: 2019
% 21.97/22.29 Inuse: 111
% 21.97/22.29 Deleted: 4
% 21.97/22.29 Deletedinuse: 1
% 21.97/22.29
% 21.97/22.29 *** allocated 170857 integers for clauses
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 *** allocated 50625 integers for termspace/termends
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 *** allocated 256285 integers for clauses
% 21.97/22.29 *** allocated 75937 integers for termspace/termends
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 6102
% 21.97/22.29 Kept: 4110
% 21.97/22.29 Inuse: 148
% 21.97/22.29 Deleted: 7
% 21.97/22.29 Deletedinuse: 4
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 *** allocated 113905 integers for termspace/termends
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 *** allocated 384427 integers for clauses
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 9997
% 21.97/22.29 Kept: 6127
% 21.97/22.29 Inuse: 188
% 21.97/22.29 Deleted: 7
% 21.97/22.29 Deletedinuse: 4
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 14145
% 21.97/22.29 Kept: 8132
% 21.97/22.29 Inuse: 229
% 21.97/22.29 Deleted: 9
% 21.97/22.29 Deletedinuse: 5
% 21.97/22.29
% 21.97/22.29 *** allocated 170857 integers for termspace/termends
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 *** allocated 576640 integers for clauses
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 18671
% 21.97/22.29 Kept: 10140
% 21.97/22.29 Inuse: 277
% 21.97/22.29 Deleted: 9
% 21.97/22.29 Deletedinuse: 5
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 22257
% 21.97/22.29 Kept: 12157
% 21.97/22.29 Inuse: 314
% 21.97/22.29 Deleted: 10
% 21.97/22.29 Deletedinuse: 5
% 21.97/22.29
% 21.97/22.29 *** allocated 256285 integers for termspace/termends
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 *** allocated 864960 integers for clauses
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 26626
% 21.97/22.29 Kept: 14186
% 21.97/22.29 Inuse: 365
% 21.97/22.29 Deleted: 12
% 21.97/22.29 Deletedinuse: 5
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 30418
% 21.97/22.29 Kept: 16209
% 21.97/22.29 Inuse: 410
% 21.97/22.29 Deleted: 17
% 21.97/22.29 Deletedinuse: 9
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 34554
% 21.97/22.29 Kept: 18270
% 21.97/22.29 Inuse: 448
% 21.97/22.29 Deleted: 17
% 21.97/22.29 Deletedinuse: 9
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 *** allocated 384427 integers for termspace/termends
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying clauses:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 38268
% 21.97/22.29 Kept: 20302
% 21.97/22.29 Inuse: 483
% 21.97/22.29 Deleted: 393
% 21.97/22.29 Deletedinuse: 10
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 *** allocated 1297440 integers for clauses
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 42226
% 21.97/22.29 Kept: 22435
% 21.97/22.29 Inuse: 518
% 21.97/22.29 Deleted: 393
% 21.97/22.29 Deletedinuse: 10
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 46254
% 21.97/22.29 Kept: 24464
% 21.97/22.29 Inuse: 558
% 21.97/22.29 Deleted: 393
% 21.97/22.29 Deletedinuse: 10
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 52240
% 21.97/22.29 Kept: 26490
% 21.97/22.29 Inuse: 607
% 21.97/22.29 Deleted: 393
% 21.97/22.29 Deletedinuse: 10
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 *** allocated 576640 integers for termspace/termends
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 57169
% 21.97/22.29 Kept: 28529
% 21.97/22.29 Inuse: 642
% 21.97/22.29 Deleted: 393
% 21.97/22.29 Deletedinuse: 10
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 62529
% 21.97/22.29 Kept: 30644
% 21.97/22.29 Inuse: 675
% 21.97/22.29 Deleted: 404
% 21.97/22.29 Deletedinuse: 15
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 *** allocated 1946160 integers for clauses
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 66716
% 21.97/22.29 Kept: 32717
% 21.97/22.29 Inuse: 699
% 21.97/22.29 Deleted: 417
% 21.97/22.29 Deletedinuse: 15
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 71338
% 21.97/22.29 Kept: 34756
% 21.97/22.29 Inuse: 736
% 21.97/22.29 Deleted: 417
% 21.97/22.29 Deletedinuse: 15
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 77984
% 21.97/22.29 Kept: 36892
% 21.97/22.29 Inuse: 776
% 21.97/22.29 Deleted: 427
% 21.97/22.29 Deletedinuse: 24
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 82553
% 21.97/22.29 Kept: 38901
% 21.97/22.29 Inuse: 809
% 21.97/22.29 Deleted: 433
% 21.97/22.29 Deletedinuse: 24
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying clauses:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 89639
% 21.97/22.29 Kept: 40978
% 21.97/22.29 Inuse: 839
% 21.97/22.29 Deleted: 1360
% 21.97/22.29 Deletedinuse: 28
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 *** allocated 864960 integers for termspace/termends
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 95947
% 21.97/22.29 Kept: 43160
% 21.97/22.29 Inuse: 865
% 21.97/22.29 Deleted: 1360
% 21.97/22.29 Deletedinuse: 28
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 100939
% 21.97/22.29 Kept: 45209
% 21.97/22.29 Inuse: 883
% 21.97/22.29 Deleted: 1360
% 21.97/22.29 Deletedinuse: 28
% 21.97/22.29
% 21.97/22.29 *** allocated 2919240 integers for clauses
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 105326
% 21.97/22.29 Kept: 47428
% 21.97/22.29 Inuse: 900
% 21.97/22.29 Deleted: 1360
% 21.97/22.29 Deletedinuse: 28
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 109529
% 21.97/22.29 Kept: 49429
% 21.97/22.29 Inuse: 924
% 21.97/22.29 Deleted: 1360
% 21.97/22.29 Deletedinuse: 28
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 114658
% 21.97/22.29 Kept: 51455
% 21.97/22.29 Inuse: 951
% 21.97/22.29 Deleted: 1361
% 21.97/22.29 Deletedinuse: 29
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 119265
% 21.97/22.29 Kept: 53459
% 21.97/22.29 Inuse: 974
% 21.97/22.29 Deleted: 1361
% 21.97/22.29 Deletedinuse: 29
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 123798
% 21.97/22.29 Kept: 55656
% 21.97/22.29 Inuse: 995
% 21.97/22.29 Deleted: 1361
% 21.97/22.29 Deletedinuse: 29
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 128697
% 21.97/22.29 Kept: 57694
% 21.97/22.29 Inuse: 1023
% 21.97/22.29 Deleted: 1362
% 21.97/22.29 Deletedinuse: 29
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 133102
% 21.97/22.29 Kept: 59751
% 21.97/22.29 Inuse: 1045
% 21.97/22.29 Deleted: 1363
% 21.97/22.29 Deletedinuse: 29
% 21.97/22.29
% 21.97/22.29 Resimplifying clauses:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 139831
% 21.97/22.29 Kept: 61791
% 21.97/22.29 Inuse: 1075
% 21.97/22.29 Deleted: 1574
% 21.97/22.29 Deletedinuse: 29
% 21.97/22.29
% 21.97/22.29 *** allocated 1297440 integers for termspace/termends
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 145326
% 21.97/22.29 Kept: 63873
% 21.97/22.29 Inuse: 1100
% 21.97/22.29 Deleted: 1574
% 21.97/22.29 Deletedinuse: 29
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 150237
% 21.97/22.29 Kept: 65997
% 21.97/22.29 Inuse: 1123
% 21.97/22.29 Deleted: 1574
% 21.97/22.29 Deletedinuse: 29
% 21.97/22.29
% 21.97/22.29 *** allocated 4378860 integers for clauses
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Intermediate Status:
% 21.97/22.29 Generated: 155040
% 21.97/22.29 Kept: 68118
% 21.97/22.29 Inuse: 1144
% 21.97/22.29 Deleted: 1574
% 21.97/22.29 Deletedinuse: 29
% 21.97/22.29
% 21.97/22.29 Resimplifying inuse:
% 21.97/22.29 Done
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Bliksems!, er is een bewijs:
% 21.97/22.29 % SZS status Theorem
% 21.97/22.29 % SZS output start Refutation
% 21.97/22.29
% 21.97/22.29 (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ), subset( X, Y )
% 21.97/22.29 }.
% 21.97/22.29 (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 21.97/22.29 (5) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X ), equal_set(
% 21.97/22.29 X, Y ) }.
% 21.97/22.29 (11) {G0,W11,D3,L3,V3,M3} I { ! member( X, union( Y, Z ) ), member( X, Y )
% 21.97/22.29 , member( X, Z ) }.
% 21.97/22.29 (12) {G0,W8,D3,L2,V3,M2} I { ! member( X, Y ), member( X, union( Y, Z ) )
% 21.97/22.29 }.
% 21.97/22.29 (29) {G0,W5,D3,L1,V0,M1} I { ! equal_set( union( skol4, skol4 ), skol4 )
% 21.97/22.29 }.
% 21.97/22.29 (75) {G1,W11,D3,L3,V3,M3} R(5,1) { ! subset( X, Y ), equal_set( Y, X ), !
% 21.97/22.29 member( skol1( Z, X ), X ) }.
% 21.97/22.29 (77) {G1,W10,D3,L2,V0,M2} R(5,29) { ! subset( union( skol4, skol4 ), skol4
% 21.97/22.29 ), ! subset( skol4, union( skol4, skol4 ) ) }.
% 21.97/22.29 (241) {G1,W19,D4,L3,V3,M3} R(11,2) { member( skol1( union( X, Y ), Z ), X )
% 21.97/22.29 , member( skol1( union( X, Y ), Z ), Y ), subset( union( X, Y ), Z ) }.
% 21.97/22.29 (294) {G1,W10,D3,L2,V3,M2} R(12,2) { member( skol1( X, Y ), union( X, Z ) )
% 21.97/22.29 , subset( X, Y ) }.
% 21.97/22.29 (8890) {G2,W10,D3,L2,V1,M2} R(75,29) { ! subset( skol4, union( skol4, skol4
% 21.97/22.29 ) ), ! member( skol1( X, skol4 ), skol4 ) }.
% 21.97/22.29 (49921) {G3,W5,D3,L1,V0,M1} R(241,77);f;r(8890) { ! subset( skol4, union(
% 21.97/22.29 skol4, skol4 ) ) }.
% 21.97/22.29 (69585) {G2,W10,D3,L2,V3,M2} R(294,1) { subset( X, union( X, Y ) ), subset
% 21.97/22.29 ( Z, union( X, Y ) ) }.
% 21.97/22.29 (69596) {G3,W5,D3,L1,V2,M1} F(69585) { subset( X, union( X, Y ) ) }.
% 21.97/22.29 (69599) {G4,W0,D0,L0,V0,M0} R(69596,49921) { }.
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 % SZS output end Refutation
% 21.97/22.29 found a proof!
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Unprocessed initial clauses:
% 21.97/22.29
% 21.97/22.29 (69601) {G0,W9,D2,L3,V3,M3} { ! subset( X, Y ), ! member( Z, X ), member(
% 21.97/22.29 Z, Y ) }.
% 21.97/22.29 (69602) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subset( X, Y )
% 21.97/22.29 }.
% 21.97/22.29 (69603) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subset( X, Y )
% 21.97/22.29 }.
% 21.97/22.29 (69604) {G0,W6,D2,L2,V2,M2} { ! equal_set( X, Y ), subset( X, Y ) }.
% 21.97/22.29 (69605) {G0,W6,D2,L2,V2,M2} { ! equal_set( X, Y ), subset( Y, X ) }.
% 21.97/22.29 (69606) {G0,W9,D2,L3,V2,M3} { ! subset( X, Y ), ! subset( Y, X ),
% 21.97/22.29 equal_set( X, Y ) }.
% 21.97/22.29 (69607) {G0,W7,D3,L2,V2,M2} { ! member( X, power_set( Y ) ), subset( X, Y
% 21.97/22.29 ) }.
% 21.97/22.29 (69608) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), member( X, power_set( Y )
% 21.97/22.29 ) }.
% 21.97/22.29 (69609) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) ), member
% 21.97/22.29 ( X, Y ) }.
% 21.97/22.29 (69610) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) ), member
% 21.97/22.29 ( X, Z ) }.
% 21.97/22.29 (69611) {G0,W11,D3,L3,V3,M3} { ! member( X, Y ), ! member( X, Z ), member
% 21.97/22.29 ( X, intersection( Y, Z ) ) }.
% 21.97/22.29 (69612) {G0,W11,D3,L3,V3,M3} { ! member( X, union( Y, Z ) ), member( X, Y
% 21.97/22.29 ), member( X, Z ) }.
% 21.97/22.29 (69613) {G0,W8,D3,L2,V3,M2} { ! member( X, Y ), member( X, union( Y, Z ) )
% 21.97/22.29 }.
% 21.97/22.29 (69614) {G0,W8,D3,L2,V3,M2} { ! member( X, Z ), member( X, union( Y, Z ) )
% 21.97/22.29 }.
% 21.97/22.29 (69615) {G0,W3,D2,L1,V1,M1} { ! member( X, empty_set ) }.
% 21.97/22.29 (69616) {G0,W8,D3,L2,V3,M2} { ! member( X, difference( Z, Y ) ), member( X
% 21.97/22.29 , Z ) }.
% 21.97/22.29 (69617) {G0,W8,D3,L2,V3,M2} { ! member( X, difference( Z, Y ) ), ! member
% 21.97/22.29 ( X, Y ) }.
% 21.97/22.29 (69618) {G0,W11,D3,L3,V3,M3} { ! member( X, Z ), member( X, Y ), member( X
% 21.97/22.29 , difference( Z, Y ) ) }.
% 21.97/22.29 (69619) {G0,W7,D3,L2,V2,M2} { ! member( X, singleton( Y ) ), X = Y }.
% 21.97/22.29 (69620) {G0,W7,D3,L2,V2,M2} { ! X = Y, member( X, singleton( Y ) ) }.
% 21.97/22.29 (69621) {G0,W11,D3,L3,V3,M3} { ! member( X, unordered_pair( Y, Z ) ), X =
% 21.97/22.29 Y, X = Z }.
% 21.97/22.29 (69622) {G0,W8,D3,L2,V3,M2} { ! X = Y, member( X, unordered_pair( Y, Z ) )
% 21.97/22.29 }.
% 21.97/22.29 (69623) {G0,W8,D3,L2,V3,M2} { ! X = Z, member( X, unordered_pair( Y, Z ) )
% 21.97/22.29 }.
% 21.97/22.29 (69624) {G0,W9,D3,L2,V3,M2} { ! member( X, sum( Y ) ), member( skol2( Z, Y
% 21.97/22.29 ), Y ) }.
% 21.97/22.29 (69625) {G0,W9,D3,L2,V2,M2} { ! member( X, sum( Y ) ), member( X, skol2( X
% 21.97/22.29 , Y ) ) }.
% 21.97/22.29 (69626) {G0,W10,D3,L3,V3,M3} { ! member( Z, Y ), ! member( X, Z ), member
% 21.97/22.29 ( X, sum( Y ) ) }.
% 21.97/22.29 (69627) {G0,W10,D3,L3,V3,M3} { ! member( X, product( Y ) ), ! member( Z, Y
% 21.97/22.29 ), member( X, Z ) }.
% 21.97/22.29 (69628) {G0,W9,D3,L2,V3,M2} { member( skol3( Z, Y ), Y ), member( X,
% 21.97/22.29 product( Y ) ) }.
% 21.97/22.29 (69629) {G0,W9,D3,L2,V2,M2} { ! member( X, skol3( X, Y ) ), member( X,
% 21.97/22.29 product( Y ) ) }.
% 21.97/22.29 (69630) {G0,W5,D3,L1,V0,M1} { ! equal_set( union( skol4, skol4 ), skol4 )
% 21.97/22.29 }.
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Total Proof:
% 21.97/22.29
% 21.97/22.29 subsumption: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 21.97/22.29 subset( X, Y ) }.
% 21.97/22.29 parent0: (69602) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ),
% 21.97/22.29 subset( X, Y ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := X
% 21.97/22.29 Y := Y
% 21.97/22.29 Z := Z
% 21.97/22.29 end
% 21.97/22.29 permutation0:
% 21.97/22.29 0 ==> 0
% 21.97/22.29 1 ==> 1
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 subsumption: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 21.97/22.29 ( X, Y ) }.
% 21.97/22.29 parent0: (69603) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subset
% 21.97/22.29 ( X, Y ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := X
% 21.97/22.29 Y := Y
% 21.97/22.29 end
% 21.97/22.29 permutation0:
% 21.97/22.29 0 ==> 0
% 21.97/22.29 1 ==> 1
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 subsumption: (5) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X )
% 21.97/22.29 , equal_set( X, Y ) }.
% 21.97/22.29 parent0: (69606) {G0,W9,D2,L3,V2,M3} { ! subset( X, Y ), ! subset( Y, X )
% 21.97/22.29 , equal_set( X, Y ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := X
% 21.97/22.29 Y := Y
% 21.97/22.29 end
% 21.97/22.29 permutation0:
% 21.97/22.29 0 ==> 0
% 21.97/22.29 1 ==> 1
% 21.97/22.29 2 ==> 2
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 subsumption: (11) {G0,W11,D3,L3,V3,M3} I { ! member( X, union( Y, Z ) ),
% 21.97/22.29 member( X, Y ), member( X, Z ) }.
% 21.97/22.29 parent0: (69612) {G0,W11,D3,L3,V3,M3} { ! member( X, union( Y, Z ) ),
% 21.97/22.29 member( X, Y ), member( X, Z ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := X
% 21.97/22.29 Y := Y
% 21.97/22.29 Z := Z
% 21.97/22.29 end
% 21.97/22.29 permutation0:
% 21.97/22.29 0 ==> 0
% 21.97/22.29 1 ==> 1
% 21.97/22.29 2 ==> 2
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 subsumption: (12) {G0,W8,D3,L2,V3,M2} I { ! member( X, Y ), member( X,
% 21.97/22.29 union( Y, Z ) ) }.
% 21.97/22.29 parent0: (69613) {G0,W8,D3,L2,V3,M2} { ! member( X, Y ), member( X, union
% 21.97/22.29 ( Y, Z ) ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := X
% 21.97/22.29 Y := Y
% 21.97/22.29 Z := Z
% 21.97/22.29 end
% 21.97/22.29 permutation0:
% 21.97/22.29 0 ==> 0
% 21.97/22.29 1 ==> 1
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 subsumption: (29) {G0,W5,D3,L1,V0,M1} I { ! equal_set( union( skol4, skol4
% 21.97/22.29 ), skol4 ) }.
% 21.97/22.29 parent0: (69630) {G0,W5,D3,L1,V0,M1} { ! equal_set( union( skol4, skol4 )
% 21.97/22.29 , skol4 ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 end
% 21.97/22.29 permutation0:
% 21.97/22.29 0 ==> 0
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 resolution: (69651) {G1,W11,D3,L3,V3,M3} { ! subset( Y, X ), equal_set( X
% 21.97/22.29 , Y ), ! member( skol1( Z, Y ), Y ) }.
% 21.97/22.29 parent0[0]: (5) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X )
% 21.97/22.29 , equal_set( X, Y ) }.
% 21.97/22.29 parent1[1]: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 21.97/22.29 subset( X, Y ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := X
% 21.97/22.29 Y := Y
% 21.97/22.29 end
% 21.97/22.29 substitution1:
% 21.97/22.29 X := X
% 21.97/22.29 Y := Y
% 21.97/22.29 Z := Z
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 subsumption: (75) {G1,W11,D3,L3,V3,M3} R(5,1) { ! subset( X, Y ), equal_set
% 21.97/22.29 ( Y, X ), ! member( skol1( Z, X ), X ) }.
% 21.97/22.29 parent0: (69651) {G1,W11,D3,L3,V3,M3} { ! subset( Y, X ), equal_set( X, Y
% 21.97/22.29 ), ! member( skol1( Z, Y ), Y ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := Y
% 21.97/22.29 Y := X
% 21.97/22.29 Z := Z
% 21.97/22.29 end
% 21.97/22.29 permutation0:
% 21.97/22.29 0 ==> 0
% 21.97/22.29 1 ==> 1
% 21.97/22.29 2 ==> 2
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 resolution: (69653) {G1,W10,D3,L2,V0,M2} { ! subset( union( skol4, skol4 )
% 21.97/22.29 , skol4 ), ! subset( skol4, union( skol4, skol4 ) ) }.
% 21.97/22.29 parent0[0]: (29) {G0,W5,D3,L1,V0,M1} I { ! equal_set( union( skol4, skol4 )
% 21.97/22.29 , skol4 ) }.
% 21.97/22.29 parent1[2]: (5) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X )
% 21.97/22.29 , equal_set( X, Y ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 end
% 21.97/22.29 substitution1:
% 21.97/22.29 X := union( skol4, skol4 )
% 21.97/22.29 Y := skol4
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 subsumption: (77) {G1,W10,D3,L2,V0,M2} R(5,29) { ! subset( union( skol4,
% 21.97/22.29 skol4 ), skol4 ), ! subset( skol4, union( skol4, skol4 ) ) }.
% 21.97/22.29 parent0: (69653) {G1,W10,D3,L2,V0,M2} { ! subset( union( skol4, skol4 ),
% 21.97/22.29 skol4 ), ! subset( skol4, union( skol4, skol4 ) ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 end
% 21.97/22.29 permutation0:
% 21.97/22.29 0 ==> 0
% 21.97/22.29 1 ==> 1
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 resolution: (69654) {G1,W19,D4,L3,V3,M3} { member( skol1( union( X, Y ), Z
% 21.97/22.29 ), X ), member( skol1( union( X, Y ), Z ), Y ), subset( union( X, Y ), Z
% 21.97/22.29 ) }.
% 21.97/22.29 parent0[0]: (11) {G0,W11,D3,L3,V3,M3} I { ! member( X, union( Y, Z ) ),
% 21.97/22.29 member( X, Y ), member( X, Z ) }.
% 21.97/22.29 parent1[0]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 21.97/22.29 ( X, Y ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := skol1( union( X, Y ), Z )
% 21.97/22.29 Y := X
% 21.97/22.29 Z := Y
% 21.97/22.29 end
% 21.97/22.29 substitution1:
% 21.97/22.29 X := union( X, Y )
% 21.97/22.29 Y := Z
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 subsumption: (241) {G1,W19,D4,L3,V3,M3} R(11,2) { member( skol1( union( X,
% 21.97/22.29 Y ), Z ), X ), member( skol1( union( X, Y ), Z ), Y ), subset( union( X,
% 21.97/22.29 Y ), Z ) }.
% 21.97/22.29 parent0: (69654) {G1,W19,D4,L3,V3,M3} { member( skol1( union( X, Y ), Z )
% 21.97/22.29 , X ), member( skol1( union( X, Y ), Z ), Y ), subset( union( X, Y ), Z )
% 21.97/22.29 }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := X
% 21.97/22.29 Y := Y
% 21.97/22.29 Z := Z
% 21.97/22.29 end
% 21.97/22.29 permutation0:
% 21.97/22.29 0 ==> 0
% 21.97/22.29 1 ==> 1
% 21.97/22.29 2 ==> 2
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 resolution: (69656) {G1,W10,D3,L2,V3,M2} { member( skol1( X, Y ), union( X
% 21.97/22.29 , Z ) ), subset( X, Y ) }.
% 21.97/22.29 parent0[0]: (12) {G0,W8,D3,L2,V3,M2} I { ! member( X, Y ), member( X, union
% 21.97/22.29 ( Y, Z ) ) }.
% 21.97/22.29 parent1[0]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 21.97/22.29 ( X, Y ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := skol1( X, Y )
% 21.97/22.29 Y := X
% 21.97/22.29 Z := Z
% 21.97/22.29 end
% 21.97/22.29 substitution1:
% 21.97/22.29 X := X
% 21.97/22.29 Y := Y
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 subsumption: (294) {G1,W10,D3,L2,V3,M2} R(12,2) { member( skol1( X, Y ),
% 21.97/22.29 union( X, Z ) ), subset( X, Y ) }.
% 21.97/22.29 parent0: (69656) {G1,W10,D3,L2,V3,M2} { member( skol1( X, Y ), union( X, Z
% 21.97/22.29 ) ), subset( X, Y ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := X
% 21.97/22.29 Y := Y
% 21.97/22.29 Z := Z
% 21.97/22.29 end
% 21.97/22.29 permutation0:
% 21.97/22.29 0 ==> 0
% 21.97/22.29 1 ==> 1
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 resolution: (69657) {G1,W10,D3,L2,V1,M2} { ! subset( skol4, union( skol4,
% 21.97/22.29 skol4 ) ), ! member( skol1( X, skol4 ), skol4 ) }.
% 21.97/22.29 parent0[0]: (29) {G0,W5,D3,L1,V0,M1} I { ! equal_set( union( skol4, skol4 )
% 21.97/22.29 , skol4 ) }.
% 21.97/22.29 parent1[1]: (75) {G1,W11,D3,L3,V3,M3} R(5,1) { ! subset( X, Y ), equal_set
% 21.97/22.29 ( Y, X ), ! member( skol1( Z, X ), X ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 end
% 21.97/22.29 substitution1:
% 21.97/22.29 X := skol4
% 21.97/22.29 Y := union( skol4, skol4 )
% 21.97/22.29 Z := X
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 subsumption: (8890) {G2,W10,D3,L2,V1,M2} R(75,29) { ! subset( skol4, union
% 21.97/22.29 ( skol4, skol4 ) ), ! member( skol1( X, skol4 ), skol4 ) }.
% 21.97/22.29 parent0: (69657) {G1,W10,D3,L2,V1,M2} { ! subset( skol4, union( skol4,
% 21.97/22.29 skol4 ) ), ! member( skol1( X, skol4 ), skol4 ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := X
% 21.97/22.29 end
% 21.97/22.29 permutation0:
% 21.97/22.29 0 ==> 0
% 21.97/22.29 1 ==> 1
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 resolution: (69658) {G2,W19,D4,L3,V0,M3} { ! subset( skol4, union( skol4,
% 21.97/22.29 skol4 ) ), member( skol1( union( skol4, skol4 ), skol4 ), skol4 ), member
% 21.97/22.29 ( skol1( union( skol4, skol4 ), skol4 ), skol4 ) }.
% 21.97/22.29 parent0[0]: (77) {G1,W10,D3,L2,V0,M2} R(5,29) { ! subset( union( skol4,
% 21.97/22.29 skol4 ), skol4 ), ! subset( skol4, union( skol4, skol4 ) ) }.
% 21.97/22.29 parent1[2]: (241) {G1,W19,D4,L3,V3,M3} R(11,2) { member( skol1( union( X, Y
% 21.97/22.29 ), Z ), X ), member( skol1( union( X, Y ), Z ), Y ), subset( union( X, Y
% 21.97/22.29 ), Z ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 end
% 21.97/22.29 substitution1:
% 21.97/22.29 X := skol4
% 21.97/22.29 Y := skol4
% 21.97/22.29 Z := skol4
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 factor: (69659) {G2,W12,D4,L2,V0,M2} { ! subset( skol4, union( skol4,
% 21.97/22.29 skol4 ) ), member( skol1( union( skol4, skol4 ), skol4 ), skol4 ) }.
% 21.97/22.29 parent0[1, 2]: (69658) {G2,W19,D4,L3,V0,M3} { ! subset( skol4, union(
% 21.97/22.29 skol4, skol4 ) ), member( skol1( union( skol4, skol4 ), skol4 ), skol4 )
% 21.97/22.29 , member( skol1( union( skol4, skol4 ), skol4 ), skol4 ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 resolution: (69662) {G3,W10,D3,L2,V0,M2} { ! subset( skol4, union( skol4,
% 21.97/22.29 skol4 ) ), ! subset( skol4, union( skol4, skol4 ) ) }.
% 21.97/22.29 parent0[1]: (8890) {G2,W10,D3,L2,V1,M2} R(75,29) { ! subset( skol4, union(
% 21.97/22.29 skol4, skol4 ) ), ! member( skol1( X, skol4 ), skol4 ) }.
% 21.97/22.29 parent1[1]: (69659) {G2,W12,D4,L2,V0,M2} { ! subset( skol4, union( skol4,
% 21.97/22.29 skol4 ) ), member( skol1( union( skol4, skol4 ), skol4 ), skol4 ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := union( skol4, skol4 )
% 21.97/22.29 end
% 21.97/22.29 substitution1:
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 factor: (69663) {G3,W5,D3,L1,V0,M1} { ! subset( skol4, union( skol4, skol4
% 21.97/22.29 ) ) }.
% 21.97/22.29 parent0[0, 1]: (69662) {G3,W10,D3,L2,V0,M2} { ! subset( skol4, union(
% 21.97/22.29 skol4, skol4 ) ), ! subset( skol4, union( skol4, skol4 ) ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 subsumption: (49921) {G3,W5,D3,L1,V0,M1} R(241,77);f;r(8890) { ! subset(
% 21.97/22.29 skol4, union( skol4, skol4 ) ) }.
% 21.97/22.29 parent0: (69663) {G3,W5,D3,L1,V0,M1} { ! subset( skol4, union( skol4,
% 21.97/22.29 skol4 ) ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 end
% 21.97/22.29 permutation0:
% 21.97/22.29 0 ==> 0
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 resolution: (69664) {G1,W10,D3,L2,V3,M2} { subset( Z, union( X, Y ) ),
% 21.97/22.29 subset( X, union( X, Y ) ) }.
% 21.97/22.29 parent0[0]: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 21.97/22.29 subset( X, Y ) }.
% 21.97/22.29 parent1[0]: (294) {G1,W10,D3,L2,V3,M2} R(12,2) { member( skol1( X, Y ),
% 21.97/22.29 union( X, Z ) ), subset( X, Y ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := Z
% 21.97/22.29 Y := union( X, Y )
% 21.97/22.29 Z := X
% 21.97/22.29 end
% 21.97/22.29 substitution1:
% 21.97/22.29 X := X
% 21.97/22.29 Y := union( X, Y )
% 21.97/22.29 Z := Y
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 subsumption: (69585) {G2,W10,D3,L2,V3,M2} R(294,1) { subset( X, union( X, Y
% 21.97/22.29 ) ), subset( Z, union( X, Y ) ) }.
% 21.97/22.29 parent0: (69664) {G1,W10,D3,L2,V3,M2} { subset( Z, union( X, Y ) ), subset
% 21.97/22.29 ( X, union( X, Y ) ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := X
% 21.97/22.29 Y := Y
% 21.97/22.29 Z := X
% 21.97/22.29 end
% 21.97/22.29 permutation0:
% 21.97/22.29 0 ==> 0
% 21.97/22.29 1 ==> 0
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 factor: (69666) {G2,W5,D3,L1,V2,M1} { subset( X, union( X, Y ) ) }.
% 21.97/22.29 parent0[0, 1]: (69585) {G2,W10,D3,L2,V3,M2} R(294,1) { subset( X, union( X
% 21.97/22.29 , Y ) ), subset( Z, union( X, Y ) ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := X
% 21.97/22.29 Y := Y
% 21.97/22.29 Z := X
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 subsumption: (69596) {G3,W5,D3,L1,V2,M1} F(69585) { subset( X, union( X, Y
% 21.97/22.29 ) ) }.
% 21.97/22.29 parent0: (69666) {G2,W5,D3,L1,V2,M1} { subset( X, union( X, Y ) ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 X := X
% 21.97/22.29 Y := Y
% 21.97/22.29 end
% 21.97/22.29 permutation0:
% 21.97/22.29 0 ==> 0
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 resolution: (69667) {G4,W0,D0,L0,V0,M0} { }.
% 21.97/22.29 parent0[0]: (49921) {G3,W5,D3,L1,V0,M1} R(241,77);f;r(8890) { ! subset(
% 21.97/22.29 skol4, union( skol4, skol4 ) ) }.
% 21.97/22.29 parent1[0]: (69596) {G3,W5,D3,L1,V2,M1} F(69585) { subset( X, union( X, Y )
% 21.97/22.29 ) }.
% 21.97/22.29 substitution0:
% 21.97/22.29 end
% 21.97/22.29 substitution1:
% 21.97/22.29 X := skol4
% 21.97/22.29 Y := skol4
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 subsumption: (69599) {G4,W0,D0,L0,V0,M0} R(69596,49921) { }.
% 21.97/22.29 parent0: (69667) {G4,W0,D0,L0,V0,M0} { }.
% 21.97/22.29 substitution0:
% 21.97/22.29 end
% 21.97/22.29 permutation0:
% 21.97/22.29 end
% 21.97/22.29
% 21.97/22.29 Proof check complete!
% 21.97/22.29
% 21.97/22.29 Memory use:
% 21.97/22.29
% 21.97/22.29 space for terms: 968928
% 21.97/22.29 space for clauses: 3063491
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 clauses generated: 158200
% 21.97/22.29 clauses kept: 69600
% 21.97/22.29 clauses selected: 1164
% 21.97/22.29 clauses deleted: 1574
% 21.97/22.29 clauses inuse deleted: 29
% 21.97/22.29
% 21.97/22.29 subsentry: 1389014
% 21.97/22.29 literals s-matched: 787632
% 21.97/22.29 literals matched: 732237
% 21.97/22.29 full subsumption: 249974
% 21.97/22.29
% 21.97/22.29 checksum: -699137092
% 21.97/22.29
% 21.97/22.29
% 21.97/22.29 Bliksem ended
%------------------------------------------------------------------------------