TSTP Solution File: SET700+4 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET700+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 22:51:29 EDT 2022
% Result : Theorem 17.81s 18.18s
% Output : Refutation 17.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET700+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jul 10 01:35:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.39/3.77 *** allocated 10000 integers for termspace/termends
% 3.39/3.77 *** allocated 10000 integers for clauses
% 3.39/3.77 *** allocated 10000 integers for justifications
% 3.39/3.77 Bliksem 1.12
% 3.39/3.77
% 3.39/3.77
% 3.39/3.77 Automatic Strategy Selection
% 3.39/3.77
% 3.39/3.77
% 3.39/3.77 Clauses:
% 3.39/3.77
% 3.39/3.77 { ! subset( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 3.39/3.77 { ! member( skol1( Z, Y ), Y ), subset( X, Y ) }.
% 3.39/3.77 { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 3.39/3.77 { ! equal_set( X, Y ), subset( X, Y ) }.
% 3.39/3.77 { ! equal_set( X, Y ), subset( Y, X ) }.
% 3.39/3.77 { ! subset( X, Y ), ! subset( Y, X ), equal_set( X, Y ) }.
% 3.39/3.77 { ! member( X, power_set( Y ) ), subset( X, Y ) }.
% 3.39/3.77 { ! subset( X, Y ), member( X, power_set( Y ) ) }.
% 3.39/3.77 { ! member( X, intersection( Y, Z ) ), member( X, Y ) }.
% 3.39/3.77 { ! member( X, intersection( Y, Z ) ), member( X, Z ) }.
% 3.39/3.77 { ! member( X, Y ), ! member( X, Z ), member( X, intersection( Y, Z ) ) }.
% 3.39/3.77 { ! member( X, union( Y, Z ) ), member( X, Y ), member( X, Z ) }.
% 3.39/3.77 { ! member( X, Y ), member( X, union( Y, Z ) ) }.
% 3.39/3.77 { ! member( X, Z ), member( X, union( Y, Z ) ) }.
% 3.39/3.77 { ! member( X, empty_set ) }.
% 3.39/3.77 { ! member( X, difference( Z, Y ) ), member( X, Z ) }.
% 3.39/3.77 { ! member( X, difference( Z, Y ) ), ! member( X, Y ) }.
% 3.39/3.77 { ! member( X, Z ), member( X, Y ), member( X, difference( Z, Y ) ) }.
% 3.39/3.77 { ! member( X, singleton( Y ) ), X = Y }.
% 3.39/3.77 { ! X = Y, member( X, singleton( Y ) ) }.
% 3.39/3.77 { ! member( X, unordered_pair( Y, Z ) ), X = Y, X = Z }.
% 3.39/3.77 { ! X = Y, member( X, unordered_pair( Y, Z ) ) }.
% 3.39/3.77 { ! X = Z, member( X, unordered_pair( Y, Z ) ) }.
% 3.39/3.77 { ! member( X, sum( Y ) ), member( skol2( Z, Y ), Y ) }.
% 3.39/3.77 { ! member( X, sum( Y ) ), member( X, skol2( X, Y ) ) }.
% 3.39/3.77 { ! member( Z, Y ), ! member( X, Z ), member( X, sum( Y ) ) }.
% 3.39/3.77 { ! member( X, product( Y ) ), ! member( Z, Y ), member( X, Z ) }.
% 3.39/3.77 { member( skol3( Z, Y ), Y ), member( X, product( Y ) ) }.
% 3.39/3.77 { ! member( X, skol3( X, Y ) ), member( X, product( Y ) ) }.
% 3.39/3.77 { subset( skol4, skol6 ) }.
% 3.39/3.77 { subset( skol5, skol6 ) }.
% 3.39/3.77 { alpha1( skol4, skol5, skol6 ), subset( intersection( skol4, difference(
% 3.39/3.77 skol6, skol5 ) ), skol5 ) }.
% 3.39/3.77 { alpha1( skol4, skol5, skol6 ), ! subset( skol4, skol5 ) }.
% 3.39/3.77 { ! alpha1( X, Y, Z ), subset( X, Y ) }.
% 3.39/3.77 { ! alpha1( X, Y, Z ), ! subset( intersection( X, difference( Z, Y ) ), Y )
% 3.39/3.77 }.
% 3.39/3.77 { ! subset( X, Y ), subset( intersection( X, difference( Z, Y ) ), Y ),
% 3.39/3.77 alpha1( X, Y, Z ) }.
% 3.39/3.77
% 3.39/3.77 percentage equality = 0.076923, percentage horn = 0.805556
% 3.39/3.77 This is a problem with some equality
% 3.39/3.77
% 3.39/3.77
% 3.39/3.77
% 3.39/3.77 Options Used:
% 3.39/3.77
% 3.39/3.77 useres = 1
% 3.39/3.77 useparamod = 1
% 3.39/3.77 useeqrefl = 1
% 3.39/3.77 useeqfact = 1
% 3.39/3.77 usefactor = 1
% 3.39/3.77 usesimpsplitting = 0
% 3.39/3.77 usesimpdemod = 5
% 3.39/3.77 usesimpres = 3
% 3.39/3.77
% 3.39/3.77 resimpinuse = 1000
% 3.39/3.77 resimpclauses = 20000
% 3.39/3.77 substype = eqrewr
% 3.39/3.77 backwardsubs = 1
% 3.39/3.77 selectoldest = 5
% 3.39/3.77
% 3.39/3.77 litorderings [0] = split
% 3.39/3.77 litorderings [1] = extend the termordering, first sorting on arguments
% 3.39/3.77
% 3.39/3.77 termordering = kbo
% 3.39/3.77
% 3.39/3.77 litapriori = 0
% 3.39/3.77 termapriori = 1
% 3.39/3.77 litaposteriori = 0
% 3.39/3.77 termaposteriori = 0
% 3.39/3.77 demodaposteriori = 0
% 3.39/3.77 ordereqreflfact = 0
% 3.39/3.77
% 3.39/3.77 litselect = negord
% 3.39/3.77
% 3.39/3.77 maxweight = 15
% 3.39/3.77 maxdepth = 30000
% 3.39/3.77 maxlength = 115
% 3.39/3.77 maxnrvars = 195
% 3.39/3.77 excuselevel = 1
% 3.39/3.77 increasemaxweight = 1
% 3.39/3.77
% 3.39/3.77 maxselected = 10000000
% 3.39/3.77 maxnrclauses = 10000000
% 3.39/3.77
% 3.39/3.77 showgenerated = 0
% 3.39/3.77 showkept = 0
% 3.39/3.77 showselected = 0
% 3.39/3.77 showdeleted = 0
% 3.39/3.77 showresimp = 1
% 3.39/3.77 showstatus = 2000
% 3.39/3.77
% 3.39/3.77 prologoutput = 0
% 3.39/3.77 nrgoals = 5000000
% 3.39/3.77 totalproof = 1
% 3.39/3.77
% 3.39/3.77 Symbols occurring in the translation:
% 3.39/3.77
% 3.39/3.77 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.39/3.77 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 3.39/3.77 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 3.39/3.77 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.39/3.77 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.39/3.77 subset [37, 2] (w:1, o:48, a:1, s:1, b:0),
% 3.39/3.77 member [39, 2] (w:1, o:49, a:1, s:1, b:0),
% 3.39/3.77 equal_set [40, 2] (w:1, o:51, a:1, s:1, b:0),
% 3.39/3.77 power_set [41, 1] (w:1, o:20, a:1, s:1, b:0),
% 3.39/3.77 intersection [42, 2] (w:1, o:52, a:1, s:1, b:0),
% 3.39/3.77 union [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 3.39/3.77 empty_set [44, 0] (w:1, o:9, a:1, s:1, b:0),
% 3.39/3.77 difference [46, 2] (w:1, o:50, a:1, s:1, b:0),
% 3.39/3.77 singleton [47, 1] (w:1, o:21, a:1, s:1, b:0),
% 3.39/3.77 unordered_pair [48, 2] (w:1, o:54, a:1, s:1, b:0),
% 17.81/18.18 sum [49, 1] (w:1, o:22, a:1, s:1, b:0),
% 17.81/18.18 product [51, 1] (w:1, o:23, a:1, s:1, b:0),
% 17.81/18.18 alpha1 [52, 3] (w:1, o:58, a:1, s:1, b:1),
% 17.81/18.18 skol1 [53, 2] (w:1, o:55, a:1, s:1, b:1),
% 17.81/18.18 skol2 [54, 2] (w:1, o:56, a:1, s:1, b:1),
% 17.81/18.18 skol3 [55, 2] (w:1, o:57, a:1, s:1, b:1),
% 17.81/18.18 skol4 [56, 0] (w:1, o:12, a:1, s:1, b:1),
% 17.81/18.18 skol5 [57, 0] (w:1, o:13, a:1, s:1, b:1),
% 17.81/18.18 skol6 [58, 0] (w:1, o:14, a:1, s:1, b:1).
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Starting Search:
% 17.81/18.18
% 17.81/18.18 *** allocated 15000 integers for clauses
% 17.81/18.18 *** allocated 22500 integers for clauses
% 17.81/18.18 *** allocated 33750 integers for clauses
% 17.81/18.18 *** allocated 50625 integers for clauses
% 17.81/18.18 *** allocated 15000 integers for termspace/termends
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 *** allocated 75937 integers for clauses
% 17.81/18.18 *** allocated 22500 integers for termspace/termends
% 17.81/18.18 *** allocated 33750 integers for termspace/termends
% 17.81/18.18 *** allocated 113905 integers for clauses
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 2977
% 17.81/18.18 Kept: 2010
% 17.81/18.18 Inuse: 106
% 17.81/18.18 Deleted: 4
% 17.81/18.18 Deletedinuse: 1
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 *** allocated 50625 integers for termspace/termends
% 17.81/18.18 *** allocated 170857 integers for clauses
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 *** allocated 75937 integers for termspace/termends
% 17.81/18.18 *** allocated 256285 integers for clauses
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 6048
% 17.81/18.18 Kept: 4322
% 17.81/18.18 Inuse: 173
% 17.81/18.18 Deleted: 4
% 17.81/18.18 Deletedinuse: 1
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 *** allocated 113905 integers for termspace/termends
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 *** allocated 384427 integers for clauses
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 10336
% 17.81/18.18 Kept: 6335
% 17.81/18.18 Inuse: 196
% 17.81/18.18 Deleted: 4
% 17.81/18.18 Deletedinuse: 1
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 *** allocated 170857 integers for termspace/termends
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 14669
% 17.81/18.18 Kept: 8394
% 17.81/18.18 Inuse: 238
% 17.81/18.18 Deleted: 5
% 17.81/18.18 Deletedinuse: 1
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 *** allocated 576640 integers for clauses
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 18929
% 17.81/18.18 Kept: 10433
% 17.81/18.18 Inuse: 281
% 17.81/18.18 Deleted: 10
% 17.81/18.18 Deletedinuse: 6
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 23576
% 17.81/18.18 Kept: 12438
% 17.81/18.18 Inuse: 334
% 17.81/18.18 Deleted: 10
% 17.81/18.18 Deletedinuse: 6
% 17.81/18.18
% 17.81/18.18 *** allocated 256285 integers for termspace/termends
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 *** allocated 864960 integers for clauses
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 27544
% 17.81/18.18 Kept: 14454
% 17.81/18.18 Inuse: 372
% 17.81/18.18 Deleted: 10
% 17.81/18.18 Deletedinuse: 6
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 31866
% 17.81/18.18 Kept: 16478
% 17.81/18.18 Inuse: 417
% 17.81/18.18 Deleted: 11
% 17.81/18.18 Deletedinuse: 6
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 36266
% 17.81/18.18 Kept: 18487
% 17.81/18.18 Inuse: 463
% 17.81/18.18 Deleted: 13
% 17.81/18.18 Deletedinuse: 6
% 17.81/18.18
% 17.81/18.18 *** allocated 384427 integers for termspace/termends
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying clauses:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 39995
% 17.81/18.18 Kept: 20526
% 17.81/18.18 Inuse: 503
% 17.81/18.18 Deleted: 478
% 17.81/18.18 Deletedinuse: 10
% 17.81/18.18
% 17.81/18.18 *** allocated 1297440 integers for clauses
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 44028
% 17.81/18.18 Kept: 22544
% 17.81/18.18 Inuse: 542
% 17.81/18.18 Deleted: 479
% 17.81/18.18 Deletedinuse: 11
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 47763
% 17.81/18.18 Kept: 24612
% 17.81/18.18 Inuse: 573
% 17.81/18.18 Deleted: 485
% 17.81/18.18 Deletedinuse: 17
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 51838
% 17.81/18.18 Kept: 26623
% 17.81/18.18 Inuse: 612
% 17.81/18.18 Deleted: 485
% 17.81/18.18 Deletedinuse: 17
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 *** allocated 576640 integers for termspace/termends
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 55502
% 17.81/18.18 Kept: 28643
% 17.81/18.18 Inuse: 651
% 17.81/18.18 Deleted: 486
% 17.81/18.18 Deletedinuse: 18
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 60525
% 17.81/18.18 Kept: 30671
% 17.81/18.18 Inuse: 692
% 17.81/18.18 Deleted: 494
% 17.81/18.18 Deletedinuse: 22
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 *** allocated 1946160 integers for clauses
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 64133
% 17.81/18.18 Kept: 32688
% 17.81/18.18 Inuse: 718
% 17.81/18.18 Deleted: 501
% 17.81/18.18 Deletedinuse: 26
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 68404
% 17.81/18.18 Kept: 34863
% 17.81/18.18 Inuse: 749
% 17.81/18.18 Deleted: 522
% 17.81/18.18 Deletedinuse: 45
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 72624
% 17.81/18.18 Kept: 36912
% 17.81/18.18 Inuse: 777
% 17.81/18.18 Deleted: 525
% 17.81/18.18 Deletedinuse: 47
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 77096
% 17.81/18.18 Kept: 38939
% 17.81/18.18 Inuse: 802
% 17.81/18.18 Deleted: 527
% 17.81/18.18 Deletedinuse: 48
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying clauses:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 81331
% 17.81/18.18 Kept: 41077
% 17.81/18.18 Inuse: 837
% 17.81/18.18 Deleted: 2350
% 17.81/18.18 Deletedinuse: 105
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 *** allocated 864960 integers for termspace/termends
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 85339
% 17.81/18.18 Kept: 43110
% 17.81/18.18 Inuse: 872
% 17.81/18.18 Deleted: 2350
% 17.81/18.18 Deletedinuse: 105
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 90531
% 17.81/18.18 Kept: 45142
% 17.81/18.18 Inuse: 907
% 17.81/18.18 Deleted: 2350
% 17.81/18.18 Deletedinuse: 105
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 *** allocated 2919240 integers for clauses
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 97168
% 17.81/18.18 Kept: 47161
% 17.81/18.18 Inuse: 944
% 17.81/18.18 Deleted: 2350
% 17.81/18.18 Deletedinuse: 105
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 102834
% 17.81/18.18 Kept: 49221
% 17.81/18.18 Inuse: 972
% 17.81/18.18 Deleted: 2350
% 17.81/18.18 Deletedinuse: 105
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 107744
% 17.81/18.18 Kept: 51259
% 17.81/18.18 Inuse: 995
% 17.81/18.18 Deleted: 2350
% 17.81/18.18 Deletedinuse: 105
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 112022
% 17.81/18.18 Kept: 53266
% 17.81/18.18 Inuse: 1015
% 17.81/18.18 Deleted: 2350
% 17.81/18.18 Deletedinuse: 105
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 116808
% 17.81/18.18 Kept: 55273
% 17.81/18.18 Inuse: 1039
% 17.81/18.18 Deleted: 2351
% 17.81/18.18 Deletedinuse: 105
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 122372
% 17.81/18.18 Kept: 57340
% 17.81/18.18 Inuse: 1073
% 17.81/18.18 Deleted: 2352
% 17.81/18.18 Deletedinuse: 106
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Intermediate Status:
% 17.81/18.18 Generated: 126867
% 17.81/18.18 Kept: 59379
% 17.81/18.18 Inuse: 1094
% 17.81/18.18 Deleted: 2352
% 17.81/18.18 Deletedinuse: 106
% 17.81/18.18
% 17.81/18.18 Resimplifying clauses:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18 Resimplifying inuse:
% 17.81/18.18 Done
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Bliksems!, er is een bewijs:
% 17.81/18.18 % SZS status Theorem
% 17.81/18.18 % SZS output start Refutation
% 17.81/18.18
% 17.81/18.18 (0) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X ), member( Z,
% 17.81/18.18 Y ) }.
% 17.81/18.18 (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ), subset( X, Y )
% 17.81/18.18 }.
% 17.81/18.18 (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 17.81/18.18 (8) {G0,W8,D3,L2,V3,M2} I { ! member( X, intersection( Y, Z ) ), member( X
% 17.81/18.18 , Y ) }.
% 17.81/18.18 (10) {G0,W11,D3,L3,V3,M3} I { ! member( X, Y ), ! member( X, Z ), member( X
% 17.81/18.18 , intersection( Y, Z ) ) }.
% 17.81/18.18 (17) {G0,W11,D3,L3,V3,M3} I { ! member( X, Z ), member( X, Y ), member( X,
% 17.81/18.18 difference( Z, Y ) ) }.
% 17.81/18.18 (29) {G0,W3,D2,L1,V0,M1} I { subset( skol4, skol6 ) }.
% 17.81/18.18 (31) {G0,W11,D4,L2,V0,M2} I { alpha1( skol4, skol5, skol6 ), subset(
% 17.81/18.18 intersection( skol4, difference( skol6, skol5 ) ), skol5 ) }.
% 17.81/18.18 (32) {G0,W7,D2,L2,V0,M2} I { alpha1( skol4, skol5, skol6 ), ! subset( skol4
% 17.81/18.18 , skol5 ) }.
% 17.81/18.18 (33) {G0,W7,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), subset( X, Y ) }.
% 17.81/18.18 (34) {G0,W11,D4,L2,V3,M2} I { ! alpha1( X, Y, Z ), ! subset( intersection(
% 17.81/18.18 X, difference( Z, Y ) ), Y ) }.
% 17.81/18.18 (49) {G1,W6,D2,L2,V1,M2} R(0,29) { ! member( X, skol4 ), member( X, skol6 )
% 17.81/18.18 }.
% 17.81/18.18 (56) {G1,W11,D3,L3,V4,M3} R(1,0) { subset( X, Y ), ! subset( Z, Y ), !
% 17.81/18.18 member( skol1( T, Y ), Z ) }.
% 17.81/18.18 (152) {G1,W12,D4,L2,V3,M2} R(8,2) { member( skol1( intersection( X, Y ), Z
% 17.81/18.18 ), X ), subset( intersection( X, Y ), Z ) }.
% 17.81/18.18 (223) {G1,W14,D3,L4,V4,M4} R(10,0) { ! member( X, Y ), ! member( X, Z ), !
% 17.81/18.18 subset( intersection( Y, Z ), T ), member( X, T ) }.
% 17.81/18.18 (593) {G2,W11,D3,L3,V2,M3} R(17,49) { member( X, Y ), member( X, difference
% 17.81/18.18 ( skol6, Y ) ), ! member( X, skol4 ) }.
% 17.81/18.18 (3242) {G1,W10,D4,L2,V0,M2} R(34,32) { ! subset( intersection( skol4,
% 17.81/18.18 difference( skol6, skol5 ) ), skol5 ), ! subset( skol4, skol5 ) }.
% 17.81/18.18 (20987) {G2,W11,D3,L3,V4,M3} R(152,56) { subset( intersection( X, Y ), Z )
% 17.81/18.18 , subset( T, Z ), ! subset( X, Z ) }.
% 17.81/18.18 (21024) {G3,W8,D3,L2,V3,M2} F(20987) { subset( intersection( X, Y ), Z ), !
% 17.81/18.18 subset( X, Z ) }.
% 17.81/18.18 (38798) {G3,W10,D2,L3,V1,M3} R(223,31);r(593) { ! member( X, skol4 ),
% 17.81/18.18 member( X, skol5 ), alpha1( skol4, skol5, skol6 ) }.
% 17.81/18.18 (40039) {G4,W3,D2,L1,V0,M1} S(3242);r(21024) { ! subset( skol4, skol5 ) }.
% 17.81/18.18 (40059) {G5,W4,D2,L1,V1,M1} R(40039,33) { ! alpha1( skol4, skol5, X ) }.
% 17.81/18.18 (40068) {G5,W5,D3,L1,V0,M1} R(40039,2) { member( skol1( skol4, skol5 ),
% 17.81/18.18 skol4 ) }.
% 17.81/18.18 (40070) {G5,W5,D3,L1,V1,M1} R(40039,1) { ! member( skol1( X, skol5 ), skol5
% 17.81/18.18 ) }.
% 17.81/18.18 (60211) {G6,W6,D2,L2,V1,M2} S(38798);r(40059) { ! member( X, skol4 ),
% 17.81/18.18 member( X, skol5 ) }.
% 17.81/18.18 (60305) {G7,W0,D0,L0,V0,M0} R(60211,40068);r(40070) { }.
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 % SZS output end Refutation
% 17.81/18.18 found a proof!
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Unprocessed initial clauses:
% 17.81/18.18
% 17.81/18.18 (60307) {G0,W9,D2,L3,V3,M3} { ! subset( X, Y ), ! member( Z, X ), member(
% 17.81/18.18 Z, Y ) }.
% 17.81/18.18 (60308) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subset( X, Y )
% 17.81/18.18 }.
% 17.81/18.18 (60309) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subset( X, Y )
% 17.81/18.18 }.
% 17.81/18.18 (60310) {G0,W6,D2,L2,V2,M2} { ! equal_set( X, Y ), subset( X, Y ) }.
% 17.81/18.18 (60311) {G0,W6,D2,L2,V2,M2} { ! equal_set( X, Y ), subset( Y, X ) }.
% 17.81/18.18 (60312) {G0,W9,D2,L3,V2,M3} { ! subset( X, Y ), ! subset( Y, X ),
% 17.81/18.18 equal_set( X, Y ) }.
% 17.81/18.18 (60313) {G0,W7,D3,L2,V2,M2} { ! member( X, power_set( Y ) ), subset( X, Y
% 17.81/18.18 ) }.
% 17.81/18.18 (60314) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), member( X, power_set( Y )
% 17.81/18.18 ) }.
% 17.81/18.18 (60315) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) ), member
% 17.81/18.18 ( X, Y ) }.
% 17.81/18.18 (60316) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) ), member
% 17.81/18.18 ( X, Z ) }.
% 17.81/18.18 (60317) {G0,W11,D3,L3,V3,M3} { ! member( X, Y ), ! member( X, Z ), member
% 17.81/18.18 ( X, intersection( Y, Z ) ) }.
% 17.81/18.18 (60318) {G0,W11,D3,L3,V3,M3} { ! member( X, union( Y, Z ) ), member( X, Y
% 17.81/18.18 ), member( X, Z ) }.
% 17.81/18.18 (60319) {G0,W8,D3,L2,V3,M2} { ! member( X, Y ), member( X, union( Y, Z ) )
% 17.81/18.18 }.
% 17.81/18.18 (60320) {G0,W8,D3,L2,V3,M2} { ! member( X, Z ), member( X, union( Y, Z ) )
% 17.81/18.18 }.
% 17.81/18.18 (60321) {G0,W3,D2,L1,V1,M1} { ! member( X, empty_set ) }.
% 17.81/18.18 (60322) {G0,W8,D3,L2,V3,M2} { ! member( X, difference( Z, Y ) ), member( X
% 17.81/18.18 , Z ) }.
% 17.81/18.18 (60323) {G0,W8,D3,L2,V3,M2} { ! member( X, difference( Z, Y ) ), ! member
% 17.81/18.18 ( X, Y ) }.
% 17.81/18.18 (60324) {G0,W11,D3,L3,V3,M3} { ! member( X, Z ), member( X, Y ), member( X
% 17.81/18.18 , difference( Z, Y ) ) }.
% 17.81/18.18 (60325) {G0,W7,D3,L2,V2,M2} { ! member( X, singleton( Y ) ), X = Y }.
% 17.81/18.18 (60326) {G0,W7,D3,L2,V2,M2} { ! X = Y, member( X, singleton( Y ) ) }.
% 17.81/18.18 (60327) {G0,W11,D3,L3,V3,M3} { ! member( X, unordered_pair( Y, Z ) ), X =
% 17.81/18.18 Y, X = Z }.
% 17.81/18.18 (60328) {G0,W8,D3,L2,V3,M2} { ! X = Y, member( X, unordered_pair( Y, Z ) )
% 17.81/18.18 }.
% 17.81/18.18 (60329) {G0,W8,D3,L2,V3,M2} { ! X = Z, member( X, unordered_pair( Y, Z ) )
% 17.81/18.18 }.
% 17.81/18.18 (60330) {G0,W9,D3,L2,V3,M2} { ! member( X, sum( Y ) ), member( skol2( Z, Y
% 17.81/18.18 ), Y ) }.
% 17.81/18.18 (60331) {G0,W9,D3,L2,V2,M2} { ! member( X, sum( Y ) ), member( X, skol2( X
% 17.81/18.18 , Y ) ) }.
% 17.81/18.18 (60332) {G0,W10,D3,L3,V3,M3} { ! member( Z, Y ), ! member( X, Z ), member
% 17.81/18.18 ( X, sum( Y ) ) }.
% 17.81/18.18 (60333) {G0,W10,D3,L3,V3,M3} { ! member( X, product( Y ) ), ! member( Z, Y
% 17.81/18.18 ), member( X, Z ) }.
% 17.81/18.18 (60334) {G0,W9,D3,L2,V3,M2} { member( skol3( Z, Y ), Y ), member( X,
% 17.81/18.18 product( Y ) ) }.
% 17.81/18.18 (60335) {G0,W9,D3,L2,V2,M2} { ! member( X, skol3( X, Y ) ), member( X,
% 17.81/18.18 product( Y ) ) }.
% 17.81/18.18 (60336) {G0,W3,D2,L1,V0,M1} { subset( skol4, skol6 ) }.
% 17.81/18.18 (60337) {G0,W3,D2,L1,V0,M1} { subset( skol5, skol6 ) }.
% 17.81/18.18 (60338) {G0,W11,D4,L2,V0,M2} { alpha1( skol4, skol5, skol6 ), subset(
% 17.81/18.18 intersection( skol4, difference( skol6, skol5 ) ), skol5 ) }.
% 17.81/18.18 (60339) {G0,W7,D2,L2,V0,M2} { alpha1( skol4, skol5, skol6 ), ! subset(
% 17.81/18.18 skol4, skol5 ) }.
% 17.81/18.18 (60340) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), subset( X, Y ) }.
% 17.81/18.18 (60341) {G0,W11,D4,L2,V3,M2} { ! alpha1( X, Y, Z ), ! subset( intersection
% 17.81/18.18 ( X, difference( Z, Y ) ), Y ) }.
% 17.81/18.18 (60342) {G0,W14,D4,L3,V3,M3} { ! subset( X, Y ), subset( intersection( X,
% 17.81/18.18 difference( Z, Y ) ), Y ), alpha1( X, Y, Z ) }.
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Total Proof:
% 17.81/18.18
% 17.81/18.18 subsumption: (0) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X )
% 17.81/18.18 , member( Z, Y ) }.
% 17.81/18.18 parent0: (60307) {G0,W9,D2,L3,V3,M3} { ! subset( X, Y ), ! member( Z, X )
% 17.81/18.18 , member( Z, Y ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 Y := Y
% 17.81/18.18 Z := Z
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 2 ==> 2
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 17.81/18.18 subset( X, Y ) }.
% 17.81/18.18 parent0: (60308) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ),
% 17.81/18.18 subset( X, Y ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 Y := Y
% 17.81/18.18 Z := Z
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 17.81/18.18 ( X, Y ) }.
% 17.81/18.18 parent0: (60309) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subset
% 17.81/18.18 ( X, Y ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 Y := Y
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (8) {G0,W8,D3,L2,V3,M2} I { ! member( X, intersection( Y, Z )
% 17.81/18.18 ), member( X, Y ) }.
% 17.81/18.18 parent0: (60315) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) )
% 17.81/18.18 , member( X, Y ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 Y := Y
% 17.81/18.18 Z := Z
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (10) {G0,W11,D3,L3,V3,M3} I { ! member( X, Y ), ! member( X, Z
% 17.81/18.18 ), member( X, intersection( Y, Z ) ) }.
% 17.81/18.18 parent0: (60317) {G0,W11,D3,L3,V3,M3} { ! member( X, Y ), ! member( X, Z )
% 17.81/18.18 , member( X, intersection( Y, Z ) ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 Y := Y
% 17.81/18.18 Z := Z
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 2 ==> 2
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (17) {G0,W11,D3,L3,V3,M3} I { ! member( X, Z ), member( X, Y )
% 17.81/18.18 , member( X, difference( Z, Y ) ) }.
% 17.81/18.18 parent0: (60324) {G0,W11,D3,L3,V3,M3} { ! member( X, Z ), member( X, Y ),
% 17.81/18.18 member( X, difference( Z, Y ) ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 Y := Y
% 17.81/18.18 Z := Z
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 2 ==> 2
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (29) {G0,W3,D2,L1,V0,M1} I { subset( skol4, skol6 ) }.
% 17.81/18.18 parent0: (60336) {G0,W3,D2,L1,V0,M1} { subset( skol4, skol6 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (31) {G0,W11,D4,L2,V0,M2} I { alpha1( skol4, skol5, skol6 ),
% 17.81/18.18 subset( intersection( skol4, difference( skol6, skol5 ) ), skol5 ) }.
% 17.81/18.18 parent0: (60338) {G0,W11,D4,L2,V0,M2} { alpha1( skol4, skol5, skol6 ),
% 17.81/18.18 subset( intersection( skol4, difference( skol6, skol5 ) ), skol5 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (32) {G0,W7,D2,L2,V0,M2} I { alpha1( skol4, skol5, skol6 ), !
% 17.81/18.18 subset( skol4, skol5 ) }.
% 17.81/18.18 parent0: (60339) {G0,W7,D2,L2,V0,M2} { alpha1( skol4, skol5, skol6 ), !
% 17.81/18.18 subset( skol4, skol5 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (33) {G0,W7,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), subset( X, Y
% 17.81/18.18 ) }.
% 17.81/18.18 parent0: (60340) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), subset( X, Y )
% 17.81/18.18 }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 Y := Y
% 17.81/18.18 Z := Z
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (34) {G0,W11,D4,L2,V3,M2} I { ! alpha1( X, Y, Z ), ! subset(
% 17.81/18.18 intersection( X, difference( Z, Y ) ), Y ) }.
% 17.81/18.18 parent0: (60341) {G0,W11,D4,L2,V3,M2} { ! alpha1( X, Y, Z ), ! subset(
% 17.81/18.18 intersection( X, difference( Z, Y ) ), Y ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 Y := Y
% 17.81/18.18 Z := Z
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60414) {G1,W6,D2,L2,V1,M2} { ! member( X, skol4 ), member( X
% 17.81/18.18 , skol6 ) }.
% 17.81/18.18 parent0[0]: (0) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X )
% 17.81/18.18 , member( Z, Y ) }.
% 17.81/18.18 parent1[0]: (29) {G0,W3,D2,L1,V0,M1} I { subset( skol4, skol6 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := skol4
% 17.81/18.18 Y := skol6
% 17.81/18.18 Z := X
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (49) {G1,W6,D2,L2,V1,M2} R(0,29) { ! member( X, skol4 ),
% 17.81/18.18 member( X, skol6 ) }.
% 17.81/18.18 parent0: (60414) {G1,W6,D2,L2,V1,M2} { ! member( X, skol4 ), member( X,
% 17.81/18.18 skol6 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60415) {G1,W11,D3,L3,V4,M3} { subset( Z, Y ), ! subset( T, Y
% 17.81/18.18 ), ! member( skol1( X, Y ), T ) }.
% 17.81/18.18 parent0[0]: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 17.81/18.18 subset( X, Y ) }.
% 17.81/18.18 parent1[2]: (0) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X )
% 17.81/18.18 , member( Z, Y ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := Z
% 17.81/18.18 Y := Y
% 17.81/18.18 Z := X
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 X := T
% 17.81/18.18 Y := Y
% 17.81/18.18 Z := skol1( X, Y )
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (56) {G1,W11,D3,L3,V4,M3} R(1,0) { subset( X, Y ), ! subset( Z
% 17.81/18.18 , Y ), ! member( skol1( T, Y ), Z ) }.
% 17.81/18.18 parent0: (60415) {G1,W11,D3,L3,V4,M3} { subset( Z, Y ), ! subset( T, Y ),
% 17.81/18.18 ! member( skol1( X, Y ), T ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := T
% 17.81/18.18 Y := Y
% 17.81/18.18 Z := X
% 17.81/18.18 T := Z
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 2 ==> 2
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60416) {G1,W12,D4,L2,V3,M2} { member( skol1( intersection( X
% 17.81/18.18 , Y ), Z ), X ), subset( intersection( X, Y ), Z ) }.
% 17.81/18.18 parent0[0]: (8) {G0,W8,D3,L2,V3,M2} I { ! member( X, intersection( Y, Z ) )
% 17.81/18.18 , member( X, Y ) }.
% 17.81/18.18 parent1[0]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 17.81/18.18 ( X, Y ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := skol1( intersection( X, Y ), Z )
% 17.81/18.18 Y := X
% 17.81/18.18 Z := Y
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 X := intersection( X, Y )
% 17.81/18.18 Y := Z
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (152) {G1,W12,D4,L2,V3,M2} R(8,2) { member( skol1(
% 17.81/18.18 intersection( X, Y ), Z ), X ), subset( intersection( X, Y ), Z ) }.
% 17.81/18.18 parent0: (60416) {G1,W12,D4,L2,V3,M2} { member( skol1( intersection( X, Y
% 17.81/18.18 ), Z ), X ), subset( intersection( X, Y ), Z ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 Y := Y
% 17.81/18.18 Z := Z
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60421) {G1,W14,D3,L4,V4,M4} { ! subset( intersection( X, Y )
% 17.81/18.18 , Z ), member( T, Z ), ! member( T, X ), ! member( T, Y ) }.
% 17.81/18.18 parent0[1]: (0) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X )
% 17.81/18.18 , member( Z, Y ) }.
% 17.81/18.18 parent1[2]: (10) {G0,W11,D3,L3,V3,M3} I { ! member( X, Y ), ! member( X, Z
% 17.81/18.18 ), member( X, intersection( Y, Z ) ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := intersection( X, Y )
% 17.81/18.18 Y := Z
% 17.81/18.18 Z := T
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 X := T
% 17.81/18.18 Y := X
% 17.81/18.18 Z := Y
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (223) {G1,W14,D3,L4,V4,M4} R(10,0) { ! member( X, Y ), !
% 17.81/18.18 member( X, Z ), ! subset( intersection( Y, Z ), T ), member( X, T ) }.
% 17.81/18.18 parent0: (60421) {G1,W14,D3,L4,V4,M4} { ! subset( intersection( X, Y ), Z
% 17.81/18.18 ), member( T, Z ), ! member( T, X ), ! member( T, Y ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := Y
% 17.81/18.18 Y := Z
% 17.81/18.18 Z := T
% 17.81/18.18 T := X
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 2
% 17.81/18.18 1 ==> 3
% 17.81/18.18 2 ==> 0
% 17.81/18.18 3 ==> 1
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60423) {G1,W11,D3,L3,V2,M3} { member( X, Y ), member( X,
% 17.81/18.18 difference( skol6, Y ) ), ! member( X, skol4 ) }.
% 17.81/18.18 parent0[0]: (17) {G0,W11,D3,L3,V3,M3} I { ! member( X, Z ), member( X, Y )
% 17.81/18.18 , member( X, difference( Z, Y ) ) }.
% 17.81/18.18 parent1[1]: (49) {G1,W6,D2,L2,V1,M2} R(0,29) { ! member( X, skol4 ), member
% 17.81/18.18 ( X, skol6 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 Y := Y
% 17.81/18.18 Z := skol6
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 X := X
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (593) {G2,W11,D3,L3,V2,M3} R(17,49) { member( X, Y ), member(
% 17.81/18.18 X, difference( skol6, Y ) ), ! member( X, skol4 ) }.
% 17.81/18.18 parent0: (60423) {G1,W11,D3,L3,V2,M3} { member( X, Y ), member( X,
% 17.81/18.18 difference( skol6, Y ) ), ! member( X, skol4 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 Y := Y
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 2 ==> 2
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60424) {G1,W10,D4,L2,V0,M2} { ! subset( intersection( skol4,
% 17.81/18.18 difference( skol6, skol5 ) ), skol5 ), ! subset( skol4, skol5 ) }.
% 17.81/18.18 parent0[0]: (34) {G0,W11,D4,L2,V3,M2} I { ! alpha1( X, Y, Z ), ! subset(
% 17.81/18.18 intersection( X, difference( Z, Y ) ), Y ) }.
% 17.81/18.18 parent1[0]: (32) {G0,W7,D2,L2,V0,M2} I { alpha1( skol4, skol5, skol6 ), !
% 17.81/18.18 subset( skol4, skol5 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := skol4
% 17.81/18.18 Y := skol5
% 17.81/18.18 Z := skol6
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (3242) {G1,W10,D4,L2,V0,M2} R(34,32) { ! subset( intersection
% 17.81/18.18 ( skol4, difference( skol6, skol5 ) ), skol5 ), ! subset( skol4, skol5 )
% 17.81/18.18 }.
% 17.81/18.18 parent0: (60424) {G1,W10,D4,L2,V0,M2} { ! subset( intersection( skol4,
% 17.81/18.18 difference( skol6, skol5 ) ), skol5 ), ! subset( skol4, skol5 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60426) {G2,W11,D3,L3,V4,M3} { subset( X, Y ), ! subset( Z, Y
% 17.81/18.18 ), subset( intersection( Z, T ), Y ) }.
% 17.81/18.18 parent0[2]: (56) {G1,W11,D3,L3,V4,M3} R(1,0) { subset( X, Y ), ! subset( Z
% 17.81/18.18 , Y ), ! member( skol1( T, Y ), Z ) }.
% 17.81/18.18 parent1[0]: (152) {G1,W12,D4,L2,V3,M2} R(8,2) { member( skol1( intersection
% 17.81/18.18 ( X, Y ), Z ), X ), subset( intersection( X, Y ), Z ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 Y := Y
% 17.81/18.18 Z := Z
% 17.81/18.18 T := intersection( Z, T )
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 X := Z
% 17.81/18.18 Y := T
% 17.81/18.18 Z := Y
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (20987) {G2,W11,D3,L3,V4,M3} R(152,56) { subset( intersection
% 17.81/18.18 ( X, Y ), Z ), subset( T, Z ), ! subset( X, Z ) }.
% 17.81/18.18 parent0: (60426) {G2,W11,D3,L3,V4,M3} { subset( X, Y ), ! subset( Z, Y ),
% 17.81/18.18 subset( intersection( Z, T ), Y ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := intersection( X, Y )
% 17.81/18.18 Y := Z
% 17.81/18.18 Z := X
% 17.81/18.18 T := Y
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 2
% 17.81/18.18 2 ==> 0
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 factor: (60428) {G2,W8,D3,L2,V3,M2} { subset( intersection( X, Y ), Z ), !
% 17.81/18.18 subset( X, Z ) }.
% 17.81/18.18 parent0[0, 1]: (20987) {G2,W11,D3,L3,V4,M3} R(152,56) { subset(
% 17.81/18.18 intersection( X, Y ), Z ), subset( T, Z ), ! subset( X, Z ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 Y := Y
% 17.81/18.18 Z := Z
% 17.81/18.18 T := intersection( X, Y )
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (21024) {G3,W8,D3,L2,V3,M2} F(20987) { subset( intersection( X
% 17.81/18.18 , Y ), Z ), ! subset( X, Z ) }.
% 17.81/18.18 parent0: (60428) {G2,W8,D3,L2,V3,M2} { subset( intersection( X, Y ), Z ),
% 17.81/18.18 ! subset( X, Z ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 Y := Y
% 17.81/18.18 Z := Z
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60429) {G1,W15,D3,L4,V1,M4} { ! member( X, skol4 ), ! member
% 17.81/18.18 ( X, difference( skol6, skol5 ) ), member( X, skol5 ), alpha1( skol4,
% 17.81/18.18 skol5, skol6 ) }.
% 17.81/18.18 parent0[2]: (223) {G1,W14,D3,L4,V4,M4} R(10,0) { ! member( X, Y ), ! member
% 17.81/18.18 ( X, Z ), ! subset( intersection( Y, Z ), T ), member( X, T ) }.
% 17.81/18.18 parent1[1]: (31) {G0,W11,D4,L2,V0,M2} I { alpha1( skol4, skol5, skol6 ),
% 17.81/18.18 subset( intersection( skol4, difference( skol6, skol5 ) ), skol5 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 Y := skol4
% 17.81/18.18 Z := difference( skol6, skol5 )
% 17.81/18.18 T := skol5
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60432) {G2,W16,D2,L5,V1,M5} { ! member( X, skol4 ), member( X
% 17.81/18.18 , skol5 ), alpha1( skol4, skol5, skol6 ), member( X, skol5 ), ! member( X
% 17.81/18.18 , skol4 ) }.
% 17.81/18.18 parent0[1]: (60429) {G1,W15,D3,L4,V1,M4} { ! member( X, skol4 ), ! member
% 17.81/18.18 ( X, difference( skol6, skol5 ) ), member( X, skol5 ), alpha1( skol4,
% 17.81/18.18 skol5, skol6 ) }.
% 17.81/18.18 parent1[1]: (593) {G2,W11,D3,L3,V2,M3} R(17,49) { member( X, Y ), member( X
% 17.81/18.18 , difference( skol6, Y ) ), ! member( X, skol4 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 X := X
% 17.81/18.18 Y := skol5
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 factor: (60434) {G2,W13,D2,L4,V1,M4} { ! member( X, skol4 ), member( X,
% 17.81/18.18 skol5 ), alpha1( skol4, skol5, skol6 ), member( X, skol5 ) }.
% 17.81/18.18 parent0[0, 4]: (60432) {G2,W16,D2,L5,V1,M5} { ! member( X, skol4 ), member
% 17.81/18.18 ( X, skol5 ), alpha1( skol4, skol5, skol6 ), member( X, skol5 ), ! member
% 17.81/18.18 ( X, skol4 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 factor: (60435) {G2,W10,D2,L3,V1,M3} { ! member( X, skol4 ), member( X,
% 17.81/18.18 skol5 ), alpha1( skol4, skol5, skol6 ) }.
% 17.81/18.18 parent0[1, 3]: (60434) {G2,W13,D2,L4,V1,M4} { ! member( X, skol4 ), member
% 17.81/18.18 ( X, skol5 ), alpha1( skol4, skol5, skol6 ), member( X, skol5 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (38798) {G3,W10,D2,L3,V1,M3} R(223,31);r(593) { ! member( X,
% 17.81/18.18 skol4 ), member( X, skol5 ), alpha1( skol4, skol5, skol6 ) }.
% 17.81/18.18 parent0: (60435) {G2,W10,D2,L3,V1,M3} { ! member( X, skol4 ), member( X,
% 17.81/18.18 skol5 ), alpha1( skol4, skol5, skol6 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 2 ==> 2
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60436) {G2,W6,D2,L2,V0,M2} { ! subset( skol4, skol5 ), !
% 17.81/18.18 subset( skol4, skol5 ) }.
% 17.81/18.18 parent0[0]: (3242) {G1,W10,D4,L2,V0,M2} R(34,32) { ! subset( intersection(
% 17.81/18.18 skol4, difference( skol6, skol5 ) ), skol5 ), ! subset( skol4, skol5 )
% 17.81/18.18 }.
% 17.81/18.18 parent1[0]: (21024) {G3,W8,D3,L2,V3,M2} F(20987) { subset( intersection( X
% 17.81/18.18 , Y ), Z ), ! subset( X, Z ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 X := skol4
% 17.81/18.18 Y := difference( skol6, skol5 )
% 17.81/18.18 Z := skol5
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 factor: (60437) {G2,W3,D2,L1,V0,M1} { ! subset( skol4, skol5 ) }.
% 17.81/18.18 parent0[0, 1]: (60436) {G2,W6,D2,L2,V0,M2} { ! subset( skol4, skol5 ), !
% 17.81/18.18 subset( skol4, skol5 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (40039) {G4,W3,D2,L1,V0,M1} S(3242);r(21024) { ! subset( skol4
% 17.81/18.18 , skol5 ) }.
% 17.81/18.18 parent0: (60437) {G2,W3,D2,L1,V0,M1} { ! subset( skol4, skol5 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60438) {G1,W4,D2,L1,V1,M1} { ! alpha1( skol4, skol5, X ) }.
% 17.81/18.18 parent0[0]: (40039) {G4,W3,D2,L1,V0,M1} S(3242);r(21024) { ! subset( skol4
% 17.81/18.18 , skol5 ) }.
% 17.81/18.18 parent1[1]: (33) {G0,W7,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), subset( X, Y
% 17.81/18.18 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 X := skol4
% 17.81/18.18 Y := skol5
% 17.81/18.18 Z := X
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (40059) {G5,W4,D2,L1,V1,M1} R(40039,33) { ! alpha1( skol4,
% 17.81/18.18 skol5, X ) }.
% 17.81/18.18 parent0: (60438) {G1,W4,D2,L1,V1,M1} { ! alpha1( skol4, skol5, X ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60439) {G1,W5,D3,L1,V0,M1} { member( skol1( skol4, skol5 ),
% 17.81/18.18 skol4 ) }.
% 17.81/18.18 parent0[0]: (40039) {G4,W3,D2,L1,V0,M1} S(3242);r(21024) { ! subset( skol4
% 17.81/18.18 , skol5 ) }.
% 17.81/18.18 parent1[1]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 17.81/18.18 ( X, Y ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 X := skol4
% 17.81/18.18 Y := skol5
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (40068) {G5,W5,D3,L1,V0,M1} R(40039,2) { member( skol1( skol4
% 17.81/18.18 , skol5 ), skol4 ) }.
% 17.81/18.18 parent0: (60439) {G1,W5,D3,L1,V0,M1} { member( skol1( skol4, skol5 ),
% 17.81/18.18 skol4 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60440) {G1,W5,D3,L1,V1,M1} { ! member( skol1( X, skol5 ),
% 17.81/18.18 skol5 ) }.
% 17.81/18.18 parent0[0]: (40039) {G4,W3,D2,L1,V0,M1} S(3242);r(21024) { ! subset( skol4
% 17.81/18.18 , skol5 ) }.
% 17.81/18.18 parent1[1]: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 17.81/18.18 subset( X, Y ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 X := skol4
% 17.81/18.18 Y := skol5
% 17.81/18.18 Z := X
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (40070) {G5,W5,D3,L1,V1,M1} R(40039,1) { ! member( skol1( X,
% 17.81/18.18 skol5 ), skol5 ) }.
% 17.81/18.18 parent0: (60440) {G1,W5,D3,L1,V1,M1} { ! member( skol1( X, skol5 ), skol5
% 17.81/18.18 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60441) {G4,W6,D2,L2,V1,M2} { ! member( X, skol4 ), member( X
% 17.81/18.18 , skol5 ) }.
% 17.81/18.18 parent0[0]: (40059) {G5,W4,D2,L1,V1,M1} R(40039,33) { ! alpha1( skol4,
% 17.81/18.18 skol5, X ) }.
% 17.81/18.18 parent1[2]: (38798) {G3,W10,D2,L3,V1,M3} R(223,31);r(593) { ! member( X,
% 17.81/18.18 skol4 ), member( X, skol5 ), alpha1( skol4, skol5, skol6 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := skol6
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 X := X
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (60211) {G6,W6,D2,L2,V1,M2} S(38798);r(40059) { ! member( X,
% 17.81/18.18 skol4 ), member( X, skol5 ) }.
% 17.81/18.18 parent0: (60441) {G4,W6,D2,L2,V1,M2} { ! member( X, skol4 ), member( X,
% 17.81/18.18 skol5 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := X
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 0 ==> 0
% 17.81/18.18 1 ==> 1
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60442) {G6,W5,D3,L1,V0,M1} { member( skol1( skol4, skol5 ),
% 17.81/18.18 skol5 ) }.
% 17.81/18.18 parent0[0]: (60211) {G6,W6,D2,L2,V1,M2} S(38798);r(40059) { ! member( X,
% 17.81/18.18 skol4 ), member( X, skol5 ) }.
% 17.81/18.18 parent1[0]: (40068) {G5,W5,D3,L1,V0,M1} R(40039,2) { member( skol1( skol4,
% 17.81/18.18 skol5 ), skol4 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := skol1( skol4, skol5 )
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 resolution: (60443) {G6,W0,D0,L0,V0,M0} { }.
% 17.81/18.18 parent0[0]: (40070) {G5,W5,D3,L1,V1,M1} R(40039,1) { ! member( skol1( X,
% 17.81/18.18 skol5 ), skol5 ) }.
% 17.81/18.18 parent1[0]: (60442) {G6,W5,D3,L1,V0,M1} { member( skol1( skol4, skol5 ),
% 17.81/18.18 skol5 ) }.
% 17.81/18.18 substitution0:
% 17.81/18.18 X := skol4
% 17.81/18.18 end
% 17.81/18.18 substitution1:
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 subsumption: (60305) {G7,W0,D0,L0,V0,M0} R(60211,40068);r(40070) { }.
% 17.81/18.18 parent0: (60443) {G6,W0,D0,L0,V0,M0} { }.
% 17.81/18.18 substitution0:
% 17.81/18.18 end
% 17.81/18.18 permutation0:
% 17.81/18.18 end
% 17.81/18.18
% 17.81/18.18 Proof check complete!
% 17.81/18.18
% 17.81/18.18 Memory use:
% 17.81/18.18
% 17.81/18.18 space for terms: 829944
% 17.81/18.18 space for clauses: 2611009
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 clauses generated: 128759
% 17.81/18.18 clauses kept: 60306
% 17.81/18.18 clauses selected: 1102
% 17.81/18.18 clauses deleted: 5169
% 17.81/18.18 clauses inuse deleted: 106
% 17.81/18.18
% 17.81/18.18 subsentry: 1252822
% 17.81/18.18 literals s-matched: 716587
% 17.81/18.18 literals matched: 671712
% 17.81/18.18 full subsumption: 228077
% 17.81/18.18
% 17.81/18.18 checksum: 1346214613
% 17.81/18.18
% 17.81/18.18
% 17.81/18.18 Bliksem ended
%------------------------------------------------------------------------------