TSTP Solution File: SET162+4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET162+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 22:47:44 EDT 2022
% Result : Theorem 22.72s 23.15s
% Output : Refutation 22.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET162+4 : TPTP v8.1.0. Released v2.2.0.
% 0.13/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Mon Jul 11 10:39:42 EDT 2022
% 0.14/0.36 % CPUTime :
% 4.61/4.98 *** allocated 10000 integers for termspace/termends
% 4.61/4.98 *** allocated 10000 integers for clauses
% 4.61/4.98 *** allocated 10000 integers for justifications
% 4.61/4.98 Bliksem 1.12
% 4.61/4.98
% 4.61/4.98
% 4.61/4.98 Automatic Strategy Selection
% 4.61/4.98
% 4.61/4.98
% 4.61/4.98 Clauses:
% 4.61/4.98
% 4.61/4.98 { ! subset( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 4.61/4.98 { ! member( skol1( Z, Y ), Y ), subset( X, Y ) }.
% 4.61/4.98 { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 4.61/4.98 { ! equal_set( X, Y ), subset( X, Y ) }.
% 4.61/4.98 { ! equal_set( X, Y ), subset( Y, X ) }.
% 4.61/4.98 { ! subset( X, Y ), ! subset( Y, X ), equal_set( X, Y ) }.
% 4.61/4.98 { ! member( X, power_set( Y ) ), subset( X, Y ) }.
% 4.61/4.98 { ! subset( X, Y ), member( X, power_set( Y ) ) }.
% 4.61/4.98 { ! member( X, intersection( Y, Z ) ), member( X, Y ) }.
% 4.61/4.98 { ! member( X, intersection( Y, Z ) ), member( X, Z ) }.
% 4.61/4.98 { ! member( X, Y ), ! member( X, Z ), member( X, intersection( Y, Z ) ) }.
% 4.61/4.98 { ! member( X, union( Y, Z ) ), member( X, Y ), member( X, Z ) }.
% 4.61/4.98 { ! member( X, Y ), member( X, union( Y, Z ) ) }.
% 4.61/4.98 { ! member( X, Z ), member( X, union( Y, Z ) ) }.
% 4.61/4.98 { ! member( X, empty_set ) }.
% 4.61/4.98 { ! member( X, difference( Z, Y ) ), member( X, Z ) }.
% 4.61/4.98 { ! member( X, difference( Z, Y ) ), ! member( X, Y ) }.
% 4.61/4.98 { ! member( X, Z ), member( X, Y ), member( X, difference( Z, Y ) ) }.
% 4.61/4.98 { ! member( X, singleton( Y ) ), X = Y }.
% 4.61/4.98 { ! X = Y, member( X, singleton( Y ) ) }.
% 4.61/4.98 { ! member( X, unordered_pair( Y, Z ) ), X = Y, X = Z }.
% 4.61/4.98 { ! X = Y, member( X, unordered_pair( Y, Z ) ) }.
% 4.61/4.98 { ! X = Z, member( X, unordered_pair( Y, Z ) ) }.
% 4.61/4.98 { ! member( X, sum( Y ) ), member( skol2( Z, Y ), Y ) }.
% 4.61/4.98 { ! member( X, sum( Y ) ), member( X, skol2( X, Y ) ) }.
% 4.61/4.98 { ! member( Z, Y ), ! member( X, Z ), member( X, sum( Y ) ) }.
% 4.61/4.98 { ! member( X, product( Y ) ), ! member( Z, Y ), member( X, Z ) }.
% 4.61/4.98 { member( skol3( Z, Y ), Y ), member( X, product( Y ) ) }.
% 4.61/4.98 { ! member( X, skol3( X, Y ) ), member( X, product( Y ) ) }.
% 4.61/4.98 { ! equal_set( union( skol4, empty_set ), skol4 ) }.
% 4.61/4.98
% 4.61/4.98 percentage equality = 0.090909, percentage horn = 0.833333
% 4.61/4.98 This is a problem with some equality
% 4.61/4.98
% 4.61/4.98
% 4.61/4.98
% 4.61/4.98 Options Used:
% 4.61/4.98
% 4.61/4.98 useres = 1
% 4.61/4.98 useparamod = 1
% 4.61/4.98 useeqrefl = 1
% 4.61/4.98 useeqfact = 1
% 4.61/4.98 usefactor = 1
% 4.61/4.98 usesimpsplitting = 0
% 4.61/4.98 usesimpdemod = 5
% 4.61/4.98 usesimpres = 3
% 4.61/4.98
% 4.61/4.98 resimpinuse = 1000
% 4.61/4.98 resimpclauses = 20000
% 4.61/4.98 substype = eqrewr
% 4.61/4.98 backwardsubs = 1
% 4.61/4.98 selectoldest = 5
% 4.61/4.98
% 4.61/4.98 litorderings [0] = split
% 4.61/4.98 litorderings [1] = extend the termordering, first sorting on arguments
% 4.61/4.98
% 4.61/4.98 termordering = kbo
% 4.61/4.98
% 4.61/4.98 litapriori = 0
% 4.61/4.98 termapriori = 1
% 4.61/4.98 litaposteriori = 0
% 4.61/4.98 termaposteriori = 0
% 4.61/4.98 demodaposteriori = 0
% 4.61/4.98 ordereqreflfact = 0
% 4.61/4.98
% 4.61/4.98 litselect = negord
% 4.61/4.98
% 4.61/4.98 maxweight = 15
% 4.61/4.98 maxdepth = 30000
% 4.61/4.98 maxlength = 115
% 4.61/4.98 maxnrvars = 195
% 4.61/4.98 excuselevel = 1
% 4.61/4.98 increasemaxweight = 1
% 4.61/4.98
% 4.61/4.98 maxselected = 10000000
% 4.61/4.98 maxnrclauses = 10000000
% 4.61/4.98
% 4.61/4.98 showgenerated = 0
% 4.61/4.98 showkept = 0
% 4.61/4.98 showselected = 0
% 4.61/4.98 showdeleted = 0
% 4.61/4.98 showresimp = 1
% 4.61/4.98 showstatus = 2000
% 4.61/4.98
% 4.61/4.98 prologoutput = 0
% 4.61/4.98 nrgoals = 5000000
% 4.61/4.98 totalproof = 1
% 4.61/4.98
% 4.61/4.98 Symbols occurring in the translation:
% 4.61/4.98
% 4.61/4.98 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.61/4.98 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 4.61/4.98 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 4.61/4.98 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.61/4.98 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.61/4.98 subset [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 4.61/4.98 member [39, 2] (w:1, o:47, a:1, s:1, b:0),
% 4.61/4.98 equal_set [40, 2] (w:1, o:49, a:1, s:1, b:0),
% 4.61/4.98 power_set [41, 1] (w:1, o:18, a:1, s:1, b:0),
% 4.61/4.98 intersection [42, 2] (w:1, o:50, a:1, s:1, b:0),
% 4.61/4.98 union [43, 2] (w:1, o:51, a:1, s:1, b:0),
% 4.61/4.98 empty_set [44, 0] (w:1, o:9, a:1, s:1, b:0),
% 4.61/4.98 difference [46, 2] (w:1, o:48, a:1, s:1, b:0),
% 4.61/4.98 singleton [47, 1] (w:1, o:19, a:1, s:1, b:0),
% 4.61/4.98 unordered_pair [48, 2] (w:1, o:52, a:1, s:1, b:0),
% 4.61/4.98 sum [49, 1] (w:1, o:20, a:1, s:1, b:0),
% 4.61/4.98 product [51, 1] (w:1, o:21, a:1, s:1, b:0),
% 4.61/4.98 skol1 [52, 2] (w:1, o:53, a:1, s:1, b:1),
% 4.61/4.98 skol2 [53, 2] (w:1, o:54, a:1, s:1, b:1),
% 4.61/4.98 skol3 [54, 2] (w:1, o:55, a:1, s:1, b:1),
% 4.61/4.98 skol4 [55, 0] (w:1, o:12, a:1, s:1, b:1).
% 4.61/4.98
% 4.61/4.98
% 4.61/4.98 Starting Search:
% 4.61/4.98
% 4.61/4.98 *** allocated 15000 integers for clauses
% 4.61/4.98 *** allocated 22500 integers for clauses
% 22.72/23.15 *** allocated 33750 integers for clauses
% 22.72/23.15 *** allocated 50625 integers for clauses
% 22.72/23.15 *** allocated 15000 integers for termspace/termends
% 22.72/23.15 *** allocated 75937 integers for clauses
% 22.72/23.15 *** allocated 22500 integers for termspace/termends
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 *** allocated 113905 integers for clauses
% 22.72/23.15 *** allocated 33750 integers for termspace/termends
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 2862
% 22.72/23.15 Kept: 2003
% 22.72/23.15 Inuse: 110
% 22.72/23.15 Deleted: 4
% 22.72/23.15 Deletedinuse: 1
% 22.72/23.15
% 22.72/23.15 *** allocated 170857 integers for clauses
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 *** allocated 50625 integers for termspace/termends
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 *** allocated 256285 integers for clauses
% 22.72/23.15 *** allocated 75937 integers for termspace/termends
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 6106
% 22.72/23.15 Kept: 4130
% 22.72/23.15 Inuse: 148
% 22.72/23.15 Deleted: 7
% 22.72/23.15 Deletedinuse: 4
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 *** allocated 113905 integers for termspace/termends
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 *** allocated 384427 integers for clauses
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 10005
% 22.72/23.15 Kept: 6151
% 22.72/23.15 Inuse: 188
% 22.72/23.15 Deleted: 7
% 22.72/23.15 Deletedinuse: 4
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 14155
% 22.72/23.15 Kept: 8158
% 22.72/23.15 Inuse: 229
% 22.72/23.15 Deleted: 9
% 22.72/23.15 Deletedinuse: 5
% 22.72/23.15
% 22.72/23.15 *** allocated 170857 integers for termspace/termends
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 *** allocated 576640 integers for clauses
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 18924
% 22.72/23.15 Kept: 10173
% 22.72/23.15 Inuse: 285
% 22.72/23.15 Deleted: 9
% 22.72/23.15 Deletedinuse: 5
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 22820
% 22.72/23.15 Kept: 12209
% 22.72/23.15 Inuse: 322
% 22.72/23.15 Deleted: 10
% 22.72/23.15 Deletedinuse: 5
% 22.72/23.15
% 22.72/23.15 *** allocated 256285 integers for termspace/termends
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 *** allocated 864960 integers for clauses
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 27370
% 22.72/23.15 Kept: 14322
% 22.72/23.15 Inuse: 369
% 22.72/23.15 Deleted: 12
% 22.72/23.15 Deletedinuse: 5
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 31196
% 22.72/23.15 Kept: 16369
% 22.72/23.15 Inuse: 416
% 22.72/23.15 Deleted: 17
% 22.72/23.15 Deletedinuse: 9
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 35207
% 22.72/23.15 Kept: 18382
% 22.72/23.15 Inuse: 453
% 22.72/23.15 Deleted: 26
% 22.72/23.15 Deletedinuse: 17
% 22.72/23.15
% 22.72/23.15 *** allocated 384427 integers for termspace/termends
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying clauses:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 38986
% 22.72/23.15 Kept: 20487
% 22.72/23.15 Inuse: 487
% 22.72/23.15 Deleted: 605
% 22.72/23.15 Deletedinuse: 17
% 22.72/23.15
% 22.72/23.15 *** allocated 1297440 integers for clauses
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 43185
% 22.72/23.15 Kept: 22512
% 22.72/23.15 Inuse: 531
% 22.72/23.15 Deleted: 605
% 22.72/23.15 Deletedinuse: 17
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 48273
% 22.72/23.15 Kept: 24530
% 22.72/23.15 Inuse: 576
% 22.72/23.15 Deleted: 605
% 22.72/23.15 Deletedinuse: 17
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 53030
% 22.72/23.15 Kept: 26533
% 22.72/23.15 Inuse: 610
% 22.72/23.15 Deleted: 613
% 22.72/23.15 Deletedinuse: 19
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 *** allocated 576640 integers for termspace/termends
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 58484
% 22.72/23.15 Kept: 28704
% 22.72/23.15 Inuse: 642
% 22.72/23.15 Deleted: 627
% 22.72/23.15 Deletedinuse: 24
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 63765
% 22.72/23.15 Kept: 30747
% 22.72/23.15 Inuse: 677
% 22.72/23.15 Deleted: 627
% 22.72/23.15 Deletedinuse: 24
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 *** allocated 1946160 integers for clauses
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 68051
% 22.72/23.15 Kept: 32749
% 22.72/23.15 Inuse: 707
% 22.72/23.15 Deleted: 634
% 22.72/23.15 Deletedinuse: 28
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 73524
% 22.72/23.15 Kept: 34768
% 22.72/23.15 Inuse: 746
% 22.72/23.15 Deleted: 644
% 22.72/23.15 Deletedinuse: 30
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 79861
% 22.72/23.15 Kept: 36854
% 22.72/23.15 Inuse: 774
% 22.72/23.15 Deleted: 644
% 22.72/23.15 Deletedinuse: 30
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 84543
% 22.72/23.15 Kept: 38876
% 22.72/23.15 Inuse: 796
% 22.72/23.15 Deleted: 644
% 22.72/23.15 Deletedinuse: 30
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying clauses:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 90205
% 22.72/23.15 Kept: 40879
% 22.72/23.15 Inuse: 828
% 22.72/23.15 Deleted: 1408
% 22.72/23.15 Deletedinuse: 30
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 *** allocated 864960 integers for termspace/termends
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 96952
% 22.72/23.15 Kept: 42898
% 22.72/23.15 Inuse: 862
% 22.72/23.15 Deleted: 1408
% 22.72/23.15 Deletedinuse: 30
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 101085
% 22.72/23.15 Kept: 44974
% 22.72/23.15 Inuse: 881
% 22.72/23.15 Deleted: 1408
% 22.72/23.15 Deletedinuse: 30
% 22.72/23.15
% 22.72/23.15 *** allocated 2919240 integers for clauses
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 106108
% 22.72/23.15 Kept: 47211
% 22.72/23.15 Inuse: 901
% 22.72/23.15 Deleted: 1408
% 22.72/23.15 Deletedinuse: 30
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 110687
% 22.72/23.15 Kept: 49271
% 22.72/23.15 Inuse: 919
% 22.72/23.15 Deleted: 1409
% 22.72/23.15 Deletedinuse: 31
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 116462
% 22.72/23.15 Kept: 51289
% 22.72/23.15 Inuse: 942
% 22.72/23.15 Deleted: 1409
% 22.72/23.15 Deletedinuse: 31
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 122115
% 22.72/23.15 Kept: 53383
% 22.72/23.15 Inuse: 965
% 22.72/23.15 Deleted: 1409
% 22.72/23.15 Deletedinuse: 31
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 128444
% 22.72/23.15 Kept: 55658
% 22.72/23.15 Inuse: 986
% 22.72/23.15 Deleted: 1409
% 22.72/23.15 Deletedinuse: 31
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 135057
% 22.72/23.15 Kept: 57904
% 22.72/23.15 Inuse: 1016
% 22.72/23.15 Deleted: 1409
% 22.72/23.15 Deletedinuse: 31
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 140290
% 22.72/23.15 Kept: 59928
% 22.72/23.15 Inuse: 1041
% 22.72/23.15 Deleted: 1409
% 22.72/23.15 Deletedinuse: 31
% 22.72/23.15
% 22.72/23.15 Resimplifying clauses:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 147681
% 22.72/23.15 Kept: 61987
% 22.72/23.15 Inuse: 1073
% 22.72/23.15 Deleted: 1646
% 22.72/23.15 Deletedinuse: 33
% 22.72/23.15
% 22.72/23.15 *** allocated 1297440 integers for termspace/termends
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 152571
% 22.72/23.15 Kept: 63993
% 22.72/23.15 Inuse: 1094
% 22.72/23.15 Deleted: 1646
% 22.72/23.15 Deletedinuse: 33
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 157925
% 22.72/23.15 Kept: 66158
% 22.72/23.15 Inuse: 1120
% 22.72/23.15 Deleted: 1646
% 22.72/23.15 Deletedinuse: 33
% 22.72/23.15
% 22.72/23.15 *** allocated 4378860 integers for clauses
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Intermediate Status:
% 22.72/23.15 Generated: 163900
% 22.72/23.15 Kept: 68192
% 22.72/23.15 Inuse: 1146
% 22.72/23.15 Deleted: 1646
% 22.72/23.15 Deletedinuse: 33
% 22.72/23.15
% 22.72/23.15 Resimplifying inuse:
% 22.72/23.15 Done
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Bliksems!, er is een bewijs:
% 22.72/23.15 % SZS status Theorem
% 22.72/23.15 % SZS output start Refutation
% 22.72/23.15
% 22.72/23.15 (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ), subset( X, Y )
% 22.72/23.15 }.
% 22.72/23.15 (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 22.72/23.15 (5) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X ), equal_set(
% 22.72/23.15 X, Y ) }.
% 22.72/23.15 (11) {G0,W11,D3,L3,V3,M3} I { ! member( X, union( Y, Z ) ), member( X, Y )
% 22.72/23.15 , member( X, Z ) }.
% 22.72/23.15 (12) {G0,W8,D3,L2,V3,M2} I { ! member( X, Y ), member( X, union( Y, Z ) )
% 22.72/23.15 }.
% 22.72/23.15 (14) {G0,W3,D2,L1,V1,M1} I { ! member( X, empty_set ) }.
% 22.72/23.15 (29) {G0,W5,D3,L1,V0,M1} I { ! equal_set( union( skol4, empty_set ), skol4
% 22.72/23.15 ) }.
% 22.72/23.15 (75) {G1,W11,D3,L3,V3,M3} R(5,1) { ! subset( X, Y ), equal_set( Y, X ), !
% 22.72/23.15 member( skol1( Z, X ), X ) }.
% 22.72/23.15 (77) {G1,W10,D3,L2,V0,M2} R(5,29) { ! subset( union( skol4, empty_set ),
% 22.72/23.15 skol4 ), ! subset( skol4, union( skol4, empty_set ) ) }.
% 22.72/23.15 (241) {G1,W19,D4,L3,V3,M3} R(11,2) { member( skol1( union( X, Y ), Z ), X )
% 22.72/23.15 , member( skol1( union( X, Y ), Z ), Y ), subset( union( X, Y ), Z ) }.
% 22.72/23.15 (294) {G1,W10,D3,L2,V3,M2} R(12,2) { member( skol1( X, Y ), union( X, Z ) )
% 22.72/23.15 , subset( X, Y ) }.
% 22.72/23.15 (8916) {G2,W10,D3,L2,V1,M2} R(75,29) { ! subset( skol4, union( skol4,
% 22.72/23.15 empty_set ) ), ! member( skol1( X, skol4 ), skol4 ) }.
% 22.72/23.15 (50890) {G3,W12,D4,L2,V0,M2} R(241,77);r(8916) { member( skol1( union(
% 22.72/23.15 skol4, empty_set ), skol4 ), empty_set ), ! subset( skol4, union( skol4,
% 22.72/23.15 empty_set ) ) }.
% 22.72/23.15 (60142) {G4,W5,D3,L1,V0,M1} S(50890);r(14) { ! subset( skol4, union( skol4
% 22.72/23.15 , empty_set ) ) }.
% 22.72/23.15 (69392) {G2,W10,D3,L2,V3,M2} R(294,1) { subset( X, union( X, Y ) ), subset
% 22.72/23.15 ( Z, union( X, Y ) ) }.
% 22.72/23.15 (69403) {G3,W5,D3,L1,V2,M1} F(69392) { subset( X, union( X, Y ) ) }.
% 22.72/23.15 (69406) {G5,W0,D0,L0,V0,M0} R(69403,60142) { }.
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 % SZS output end Refutation
% 22.72/23.15 found a proof!
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Unprocessed initial clauses:
% 22.72/23.15
% 22.72/23.15 (69408) {G0,W9,D2,L3,V3,M3} { ! subset( X, Y ), ! member( Z, X ), member(
% 22.72/23.15 Z, Y ) }.
% 22.72/23.15 (69409) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subset( X, Y )
% 22.72/23.15 }.
% 22.72/23.15 (69410) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subset( X, Y )
% 22.72/23.15 }.
% 22.72/23.15 (69411) {G0,W6,D2,L2,V2,M2} { ! equal_set( X, Y ), subset( X, Y ) }.
% 22.72/23.15 (69412) {G0,W6,D2,L2,V2,M2} { ! equal_set( X, Y ), subset( Y, X ) }.
% 22.72/23.15 (69413) {G0,W9,D2,L3,V2,M3} { ! subset( X, Y ), ! subset( Y, X ),
% 22.72/23.15 equal_set( X, Y ) }.
% 22.72/23.15 (69414) {G0,W7,D3,L2,V2,M2} { ! member( X, power_set( Y ) ), subset( X, Y
% 22.72/23.15 ) }.
% 22.72/23.15 (69415) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), member( X, power_set( Y )
% 22.72/23.15 ) }.
% 22.72/23.15 (69416) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) ), member
% 22.72/23.15 ( X, Y ) }.
% 22.72/23.15 (69417) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) ), member
% 22.72/23.15 ( X, Z ) }.
% 22.72/23.15 (69418) {G0,W11,D3,L3,V3,M3} { ! member( X, Y ), ! member( X, Z ), member
% 22.72/23.15 ( X, intersection( Y, Z ) ) }.
% 22.72/23.15 (69419) {G0,W11,D3,L3,V3,M3} { ! member( X, union( Y, Z ) ), member( X, Y
% 22.72/23.15 ), member( X, Z ) }.
% 22.72/23.15 (69420) {G0,W8,D3,L2,V3,M2} { ! member( X, Y ), member( X, union( Y, Z ) )
% 22.72/23.15 }.
% 22.72/23.15 (69421) {G0,W8,D3,L2,V3,M2} { ! member( X, Z ), member( X, union( Y, Z ) )
% 22.72/23.15 }.
% 22.72/23.15 (69422) {G0,W3,D2,L1,V1,M1} { ! member( X, empty_set ) }.
% 22.72/23.15 (69423) {G0,W8,D3,L2,V3,M2} { ! member( X, difference( Z, Y ) ), member( X
% 22.72/23.15 , Z ) }.
% 22.72/23.15 (69424) {G0,W8,D3,L2,V3,M2} { ! member( X, difference( Z, Y ) ), ! member
% 22.72/23.15 ( X, Y ) }.
% 22.72/23.15 (69425) {G0,W11,D3,L3,V3,M3} { ! member( X, Z ), member( X, Y ), member( X
% 22.72/23.15 , difference( Z, Y ) ) }.
% 22.72/23.15 (69426) {G0,W7,D3,L2,V2,M2} { ! member( X, singleton( Y ) ), X = Y }.
% 22.72/23.15 (69427) {G0,W7,D3,L2,V2,M2} { ! X = Y, member( X, singleton( Y ) ) }.
% 22.72/23.15 (69428) {G0,W11,D3,L3,V3,M3} { ! member( X, unordered_pair( Y, Z ) ), X =
% 22.72/23.15 Y, X = Z }.
% 22.72/23.15 (69429) {G0,W8,D3,L2,V3,M2} { ! X = Y, member( X, unordered_pair( Y, Z ) )
% 22.72/23.15 }.
% 22.72/23.15 (69430) {G0,W8,D3,L2,V3,M2} { ! X = Z, member( X, unordered_pair( Y, Z ) )
% 22.72/23.15 }.
% 22.72/23.15 (69431) {G0,W9,D3,L2,V3,M2} { ! member( X, sum( Y ) ), member( skol2( Z, Y
% 22.72/23.15 ), Y ) }.
% 22.72/23.15 (69432) {G0,W9,D3,L2,V2,M2} { ! member( X, sum( Y ) ), member( X, skol2( X
% 22.72/23.15 , Y ) ) }.
% 22.72/23.15 (69433) {G0,W10,D3,L3,V3,M3} { ! member( Z, Y ), ! member( X, Z ), member
% 22.72/23.15 ( X, sum( Y ) ) }.
% 22.72/23.15 (69434) {G0,W10,D3,L3,V3,M3} { ! member( X, product( Y ) ), ! member( Z, Y
% 22.72/23.15 ), member( X, Z ) }.
% 22.72/23.15 (69435) {G0,W9,D3,L2,V3,M2} { member( skol3( Z, Y ), Y ), member( X,
% 22.72/23.15 product( Y ) ) }.
% 22.72/23.15 (69436) {G0,W9,D3,L2,V2,M2} { ! member( X, skol3( X, Y ) ), member( X,
% 22.72/23.15 product( Y ) ) }.
% 22.72/23.15 (69437) {G0,W5,D3,L1,V0,M1} { ! equal_set( union( skol4, empty_set ),
% 22.72/23.15 skol4 ) }.
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Total Proof:
% 22.72/23.15
% 22.72/23.15 subsumption: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 22.72/23.15 subset( X, Y ) }.
% 22.72/23.15 parent0: (69409) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ),
% 22.72/23.15 subset( X, Y ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := X
% 22.72/23.15 Y := Y
% 22.72/23.15 Z := Z
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 0
% 22.72/23.15 1 ==> 1
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 22.72/23.15 ( X, Y ) }.
% 22.72/23.15 parent0: (69410) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subset
% 22.72/23.15 ( X, Y ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := X
% 22.72/23.15 Y := Y
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 0
% 22.72/23.15 1 ==> 1
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (5) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X )
% 22.72/23.15 , equal_set( X, Y ) }.
% 22.72/23.15 parent0: (69413) {G0,W9,D2,L3,V2,M3} { ! subset( X, Y ), ! subset( Y, X )
% 22.72/23.15 , equal_set( X, Y ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := X
% 22.72/23.15 Y := Y
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 0
% 22.72/23.15 1 ==> 1
% 22.72/23.15 2 ==> 2
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (11) {G0,W11,D3,L3,V3,M3} I { ! member( X, union( Y, Z ) ),
% 22.72/23.15 member( X, Y ), member( X, Z ) }.
% 22.72/23.15 parent0: (69419) {G0,W11,D3,L3,V3,M3} { ! member( X, union( Y, Z ) ),
% 22.72/23.15 member( X, Y ), member( X, Z ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := X
% 22.72/23.15 Y := Y
% 22.72/23.15 Z := Z
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 0
% 22.72/23.15 1 ==> 1
% 22.72/23.15 2 ==> 2
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (12) {G0,W8,D3,L2,V3,M2} I { ! member( X, Y ), member( X,
% 22.72/23.15 union( Y, Z ) ) }.
% 22.72/23.15 parent0: (69420) {G0,W8,D3,L2,V3,M2} { ! member( X, Y ), member( X, union
% 22.72/23.15 ( Y, Z ) ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := X
% 22.72/23.15 Y := Y
% 22.72/23.15 Z := Z
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 0
% 22.72/23.15 1 ==> 1
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (14) {G0,W3,D2,L1,V1,M1} I { ! member( X, empty_set ) }.
% 22.72/23.15 parent0: (69422) {G0,W3,D2,L1,V1,M1} { ! member( X, empty_set ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := X
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 0
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (29) {G0,W5,D3,L1,V0,M1} I { ! equal_set( union( skol4,
% 22.72/23.15 empty_set ), skol4 ) }.
% 22.72/23.15 parent0: (69437) {G0,W5,D3,L1,V0,M1} { ! equal_set( union( skol4,
% 22.72/23.15 empty_set ), skol4 ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 0
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 resolution: (69461) {G1,W11,D3,L3,V3,M3} { ! subset( Y, X ), equal_set( X
% 22.72/23.15 , Y ), ! member( skol1( Z, Y ), Y ) }.
% 22.72/23.15 parent0[0]: (5) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X )
% 22.72/23.15 , equal_set( X, Y ) }.
% 22.72/23.15 parent1[1]: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 22.72/23.15 subset( X, Y ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := X
% 22.72/23.15 Y := Y
% 22.72/23.15 end
% 22.72/23.15 substitution1:
% 22.72/23.15 X := X
% 22.72/23.15 Y := Y
% 22.72/23.15 Z := Z
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (75) {G1,W11,D3,L3,V3,M3} R(5,1) { ! subset( X, Y ), equal_set
% 22.72/23.15 ( Y, X ), ! member( skol1( Z, X ), X ) }.
% 22.72/23.15 parent0: (69461) {G1,W11,D3,L3,V3,M3} { ! subset( Y, X ), equal_set( X, Y
% 22.72/23.15 ), ! member( skol1( Z, Y ), Y ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := Y
% 22.72/23.15 Y := X
% 22.72/23.15 Z := Z
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 0
% 22.72/23.15 1 ==> 1
% 22.72/23.15 2 ==> 2
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 resolution: (69463) {G1,W10,D3,L2,V0,M2} { ! subset( union( skol4,
% 22.72/23.15 empty_set ), skol4 ), ! subset( skol4, union( skol4, empty_set ) ) }.
% 22.72/23.15 parent0[0]: (29) {G0,W5,D3,L1,V0,M1} I { ! equal_set( union( skol4,
% 22.72/23.15 empty_set ), skol4 ) }.
% 22.72/23.15 parent1[2]: (5) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X )
% 22.72/23.15 , equal_set( X, Y ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 end
% 22.72/23.15 substitution1:
% 22.72/23.15 X := union( skol4, empty_set )
% 22.72/23.15 Y := skol4
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (77) {G1,W10,D3,L2,V0,M2} R(5,29) { ! subset( union( skol4,
% 22.72/23.15 empty_set ), skol4 ), ! subset( skol4, union( skol4, empty_set ) ) }.
% 22.72/23.15 parent0: (69463) {G1,W10,D3,L2,V0,M2} { ! subset( union( skol4, empty_set
% 22.72/23.15 ), skol4 ), ! subset( skol4, union( skol4, empty_set ) ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 0
% 22.72/23.15 1 ==> 1
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 resolution: (69464) {G1,W19,D4,L3,V3,M3} { member( skol1( union( X, Y ), Z
% 22.72/23.15 ), X ), member( skol1( union( X, Y ), Z ), Y ), subset( union( X, Y ), Z
% 22.72/23.15 ) }.
% 22.72/23.15 parent0[0]: (11) {G0,W11,D3,L3,V3,M3} I { ! member( X, union( Y, Z ) ),
% 22.72/23.15 member( X, Y ), member( X, Z ) }.
% 22.72/23.15 parent1[0]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 22.72/23.15 ( X, Y ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := skol1( union( X, Y ), Z )
% 22.72/23.15 Y := X
% 22.72/23.15 Z := Y
% 22.72/23.15 end
% 22.72/23.15 substitution1:
% 22.72/23.15 X := union( X, Y )
% 22.72/23.15 Y := Z
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (241) {G1,W19,D4,L3,V3,M3} R(11,2) { member( skol1( union( X,
% 22.72/23.15 Y ), Z ), X ), member( skol1( union( X, Y ), Z ), Y ), subset( union( X,
% 22.72/23.15 Y ), Z ) }.
% 22.72/23.15 parent0: (69464) {G1,W19,D4,L3,V3,M3} { member( skol1( union( X, Y ), Z )
% 22.72/23.15 , X ), member( skol1( union( X, Y ), Z ), Y ), subset( union( X, Y ), Z )
% 22.72/23.15 }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := X
% 22.72/23.15 Y := Y
% 22.72/23.15 Z := Z
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 0
% 22.72/23.15 1 ==> 1
% 22.72/23.15 2 ==> 2
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 resolution: (69466) {G1,W10,D3,L2,V3,M2} { member( skol1( X, Y ), union( X
% 22.72/23.15 , Z ) ), subset( X, Y ) }.
% 22.72/23.15 parent0[0]: (12) {G0,W8,D3,L2,V3,M2} I { ! member( X, Y ), member( X, union
% 22.72/23.15 ( Y, Z ) ) }.
% 22.72/23.15 parent1[0]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 22.72/23.15 ( X, Y ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := skol1( X, Y )
% 22.72/23.15 Y := X
% 22.72/23.15 Z := Z
% 22.72/23.15 end
% 22.72/23.15 substitution1:
% 22.72/23.15 X := X
% 22.72/23.15 Y := Y
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (294) {G1,W10,D3,L2,V3,M2} R(12,2) { member( skol1( X, Y ),
% 22.72/23.15 union( X, Z ) ), subset( X, Y ) }.
% 22.72/23.15 parent0: (69466) {G1,W10,D3,L2,V3,M2} { member( skol1( X, Y ), union( X, Z
% 22.72/23.15 ) ), subset( X, Y ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := X
% 22.72/23.15 Y := Y
% 22.72/23.15 Z := Z
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 0
% 22.72/23.15 1 ==> 1
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 resolution: (69467) {G1,W10,D3,L2,V1,M2} { ! subset( skol4, union( skol4,
% 22.72/23.15 empty_set ) ), ! member( skol1( X, skol4 ), skol4 ) }.
% 22.72/23.15 parent0[0]: (29) {G0,W5,D3,L1,V0,M1} I { ! equal_set( union( skol4,
% 22.72/23.15 empty_set ), skol4 ) }.
% 22.72/23.15 parent1[1]: (75) {G1,W11,D3,L3,V3,M3} R(5,1) { ! subset( X, Y ), equal_set
% 22.72/23.15 ( Y, X ), ! member( skol1( Z, X ), X ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 end
% 22.72/23.15 substitution1:
% 22.72/23.15 X := skol4
% 22.72/23.15 Y := union( skol4, empty_set )
% 22.72/23.15 Z := X
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (8916) {G2,W10,D3,L2,V1,M2} R(75,29) { ! subset( skol4, union
% 22.72/23.15 ( skol4, empty_set ) ), ! member( skol1( X, skol4 ), skol4 ) }.
% 22.72/23.15 parent0: (69467) {G1,W10,D3,L2,V1,M2} { ! subset( skol4, union( skol4,
% 22.72/23.15 empty_set ) ), ! member( skol1( X, skol4 ), skol4 ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := X
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 0
% 22.72/23.15 1 ==> 1
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 resolution: (69468) {G2,W19,D4,L3,V0,M3} { ! subset( skol4, union( skol4,
% 22.72/23.15 empty_set ) ), member( skol1( union( skol4, empty_set ), skol4 ), skol4 )
% 22.72/23.15 , member( skol1( union( skol4, empty_set ), skol4 ), empty_set ) }.
% 22.72/23.15 parent0[0]: (77) {G1,W10,D3,L2,V0,M2} R(5,29) { ! subset( union( skol4,
% 22.72/23.15 empty_set ), skol4 ), ! subset( skol4, union( skol4, empty_set ) ) }.
% 22.72/23.15 parent1[2]: (241) {G1,W19,D4,L3,V3,M3} R(11,2) { member( skol1( union( X, Y
% 22.72/23.15 ), Z ), X ), member( skol1( union( X, Y ), Z ), Y ), subset( union( X, Y
% 22.72/23.15 ), Z ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 end
% 22.72/23.15 substitution1:
% 22.72/23.15 X := skol4
% 22.72/23.15 Y := empty_set
% 22.72/23.15 Z := skol4
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 resolution: (69469) {G3,W17,D4,L3,V0,M3} { ! subset( skol4, union( skol4,
% 22.72/23.15 empty_set ) ), ! subset( skol4, union( skol4, empty_set ) ), member(
% 22.72/23.15 skol1( union( skol4, empty_set ), skol4 ), empty_set ) }.
% 22.72/23.15 parent0[1]: (8916) {G2,W10,D3,L2,V1,M2} R(75,29) { ! subset( skol4, union(
% 22.72/23.15 skol4, empty_set ) ), ! member( skol1( X, skol4 ), skol4 ) }.
% 22.72/23.15 parent1[1]: (69468) {G2,W19,D4,L3,V0,M3} { ! subset( skol4, union( skol4,
% 22.72/23.15 empty_set ) ), member( skol1( union( skol4, empty_set ), skol4 ), skol4 )
% 22.72/23.15 , member( skol1( union( skol4, empty_set ), skol4 ), empty_set ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := union( skol4, empty_set )
% 22.72/23.15 end
% 22.72/23.15 substitution1:
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 factor: (69470) {G3,W12,D4,L2,V0,M2} { ! subset( skol4, union( skol4,
% 22.72/23.15 empty_set ) ), member( skol1( union( skol4, empty_set ), skol4 ),
% 22.72/23.15 empty_set ) }.
% 22.72/23.15 parent0[0, 1]: (69469) {G3,W17,D4,L3,V0,M3} { ! subset( skol4, union(
% 22.72/23.15 skol4, empty_set ) ), ! subset( skol4, union( skol4, empty_set ) ),
% 22.72/23.15 member( skol1( union( skol4, empty_set ), skol4 ), empty_set ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (50890) {G3,W12,D4,L2,V0,M2} R(241,77);r(8916) { member( skol1
% 22.72/23.15 ( union( skol4, empty_set ), skol4 ), empty_set ), ! subset( skol4, union
% 22.72/23.15 ( skol4, empty_set ) ) }.
% 22.72/23.15 parent0: (69470) {G3,W12,D4,L2,V0,M2} { ! subset( skol4, union( skol4,
% 22.72/23.15 empty_set ) ), member( skol1( union( skol4, empty_set ), skol4 ),
% 22.72/23.15 empty_set ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 1
% 22.72/23.15 1 ==> 0
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 resolution: (69471) {G1,W5,D3,L1,V0,M1} { ! subset( skol4, union( skol4,
% 22.72/23.15 empty_set ) ) }.
% 22.72/23.15 parent0[0]: (14) {G0,W3,D2,L1,V1,M1} I { ! member( X, empty_set ) }.
% 22.72/23.15 parent1[0]: (50890) {G3,W12,D4,L2,V0,M2} R(241,77);r(8916) { member( skol1
% 22.72/23.15 ( union( skol4, empty_set ), skol4 ), empty_set ), ! subset( skol4, union
% 22.72/23.15 ( skol4, empty_set ) ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := skol1( union( skol4, empty_set ), skol4 )
% 22.72/23.15 end
% 22.72/23.15 substitution1:
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (60142) {G4,W5,D3,L1,V0,M1} S(50890);r(14) { ! subset( skol4,
% 22.72/23.15 union( skol4, empty_set ) ) }.
% 22.72/23.15 parent0: (69471) {G1,W5,D3,L1,V0,M1} { ! subset( skol4, union( skol4,
% 22.72/23.15 empty_set ) ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 0
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 resolution: (69472) {G1,W10,D3,L2,V3,M2} { subset( Z, union( X, Y ) ),
% 22.72/23.15 subset( X, union( X, Y ) ) }.
% 22.72/23.15 parent0[0]: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 22.72/23.15 subset( X, Y ) }.
% 22.72/23.15 parent1[0]: (294) {G1,W10,D3,L2,V3,M2} R(12,2) { member( skol1( X, Y ),
% 22.72/23.15 union( X, Z ) ), subset( X, Y ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := Z
% 22.72/23.15 Y := union( X, Y )
% 22.72/23.15 Z := X
% 22.72/23.15 end
% 22.72/23.15 substitution1:
% 22.72/23.15 X := X
% 22.72/23.15 Y := union( X, Y )
% 22.72/23.15 Z := Y
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (69392) {G2,W10,D3,L2,V3,M2} R(294,1) { subset( X, union( X, Y
% 22.72/23.15 ) ), subset( Z, union( X, Y ) ) }.
% 22.72/23.15 parent0: (69472) {G1,W10,D3,L2,V3,M2} { subset( Z, union( X, Y ) ), subset
% 22.72/23.15 ( X, union( X, Y ) ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := X
% 22.72/23.15 Y := Y
% 22.72/23.15 Z := X
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 0
% 22.72/23.15 1 ==> 0
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 factor: (69474) {G2,W5,D3,L1,V2,M1} { subset( X, union( X, Y ) ) }.
% 22.72/23.15 parent0[0, 1]: (69392) {G2,W10,D3,L2,V3,M2} R(294,1) { subset( X, union( X
% 22.72/23.15 , Y ) ), subset( Z, union( X, Y ) ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := X
% 22.72/23.15 Y := Y
% 22.72/23.15 Z := X
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (69403) {G3,W5,D3,L1,V2,M1} F(69392) { subset( X, union( X, Y
% 22.72/23.15 ) ) }.
% 22.72/23.15 parent0: (69474) {G2,W5,D3,L1,V2,M1} { subset( X, union( X, Y ) ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 X := X
% 22.72/23.15 Y := Y
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 0 ==> 0
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 resolution: (69475) {G4,W0,D0,L0,V0,M0} { }.
% 22.72/23.15 parent0[0]: (60142) {G4,W5,D3,L1,V0,M1} S(50890);r(14) { ! subset( skol4,
% 22.72/23.15 union( skol4, empty_set ) ) }.
% 22.72/23.15 parent1[0]: (69403) {G3,W5,D3,L1,V2,M1} F(69392) { subset( X, union( X, Y )
% 22.72/23.15 ) }.
% 22.72/23.15 substitution0:
% 22.72/23.15 end
% 22.72/23.15 substitution1:
% 22.72/23.15 X := skol4
% 22.72/23.15 Y := empty_set
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 subsumption: (69406) {G5,W0,D0,L0,V0,M0} R(69403,60142) { }.
% 22.72/23.15 parent0: (69475) {G4,W0,D0,L0,V0,M0} { }.
% 22.72/23.15 substitution0:
% 22.72/23.15 end
% 22.72/23.15 permutation0:
% 22.72/23.15 end
% 22.72/23.15
% 22.72/23.15 Proof check complete!
% 22.72/23.15
% 22.72/23.15 Memory use:
% 22.72/23.15
% 22.72/23.15 space for terms: 964950
% 22.72/23.15 space for clauses: 3035629
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 clauses generated: 166810
% 22.72/23.15 clauses kept: 69407
% 22.72/23.15 clauses selected: 1165
% 22.72/23.15 clauses deleted: 1647
% 22.72/23.15 clauses inuse deleted: 33
% 22.72/23.15
% 22.72/23.15 subsentry: 1587860
% 22.72/23.15 literals s-matched: 898265
% 22.72/23.15 literals matched: 822259
% 22.72/23.15 full subsumption: 270929
% 22.72/23.15
% 22.72/23.15 checksum: -2058714278
% 22.72/23.15
% 22.72/23.15
% 22.72/23.15 Bliksem ended
%------------------------------------------------------------------------------