TSTP Solution File: SEU263+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 07:11:58 EDT 2022
% Result : Theorem 2.45s 2.84s
% Output : Refutation 2.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.10 % Command : bliksem %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % DateTime : Sun Jun 19 20:37:18 EDT 2022
% 0.09/0.29 % CPUTime :
% 1.47/1.86 *** allocated 10000 integers for termspace/termends
% 1.47/1.86 *** allocated 10000 integers for clauses
% 1.47/1.86 *** allocated 10000 integers for justifications
% 1.47/1.86 Bliksem 1.12
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Automatic Strategy Selection
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Clauses:
% 1.47/1.86
% 1.47/1.86 { ! element( X, powerset( cartesian_product2( Y, Z ) ) ), relation( X ) }.
% 1.47/1.86 { ! relation_of2( Z, X, Y ), subset( Z, cartesian_product2( X, Y ) ) }.
% 1.47/1.86 { ! subset( Z, cartesian_product2( X, Y ) ), relation_of2( Z, X, Y ) }.
% 1.47/1.86 { && }.
% 1.47/1.86 { && }.
% 1.47/1.86 { && }.
% 1.47/1.86 { && }.
% 1.47/1.86 { && }.
% 1.47/1.86 { && }.
% 1.47/1.86 { ! relation_of2_as_subset( Z, X, Y ), element( Z, powerset(
% 1.47/1.86 cartesian_product2( X, Y ) ) ) }.
% 1.47/1.86 { relation_of2( skol1( X, Y ), X, Y ) }.
% 1.47/1.86 { element( skol2( X ), X ) }.
% 1.47/1.86 { relation_of2_as_subset( skol3( X, Y ), X, Y ) }.
% 1.47/1.86 { ! relation_of2_as_subset( Z, X, Y ), relation_of2( Z, X, Y ) }.
% 1.47/1.86 { ! relation_of2( Z, X, Y ), relation_of2_as_subset( Z, X, Y ) }.
% 1.47/1.86 { subset( X, X ) }.
% 1.47/1.86 { ! subset( X, Y ), ! subset( Z, T ), subset( cartesian_product2( X, Z ),
% 1.47/1.86 cartesian_product2( Y, T ) ) }.
% 1.47/1.86 { ! relation_of2_as_subset( Z, X, Y ), subset( relation_dom( Z ), X ) }.
% 1.47/1.86 { ! relation_of2_as_subset( Z, X, Y ), subset( relation_rng( Z ), Y ) }.
% 1.47/1.86 { relation_of2_as_subset( skol5, skol4, skol6 ) }.
% 1.47/1.86 { subset( relation_rng( skol5 ), skol7 ) }.
% 1.47/1.86 { ! relation_of2_as_subset( skol5, skol4, skol7 ) }.
% 1.47/1.86 { ! subset( X, Z ), ! subset( Z, Y ), subset( X, Y ) }.
% 1.47/1.86 { ! relation( X ), subset( X, cartesian_product2( relation_dom( X ),
% 1.47/1.86 relation_rng( X ) ) ) }.
% 1.47/1.86 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 1.47/1.86 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 1.47/1.86
% 1.47/1.86 percentage equality = 0.000000, percentage horn = 1.000000
% 1.47/1.86 This is a near-Horn, non-equality problem
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Options Used:
% 1.47/1.86
% 1.47/1.86 useres = 1
% 1.47/1.86 useparamod = 0
% 1.47/1.86 useeqrefl = 0
% 1.47/1.86 useeqfact = 0
% 1.47/1.86 usefactor = 1
% 1.47/1.86 usesimpsplitting = 0
% 1.47/1.86 usesimpdemod = 0
% 1.47/1.86 usesimpres = 4
% 1.47/1.86
% 1.47/1.86 resimpinuse = 1000
% 1.47/1.86 resimpclauses = 20000
% 1.47/1.86 substype = standard
% 1.47/1.86 backwardsubs = 1
% 1.47/1.86 selectoldest = 5
% 1.47/1.86
% 1.47/1.86 litorderings [0] = split
% 1.47/1.86 litorderings [1] = liftord
% 1.47/1.86
% 1.47/1.86 termordering = none
% 1.47/1.86
% 1.47/1.86 litapriori = 1
% 1.47/1.86 termapriori = 0
% 1.47/1.86 litaposteriori = 0
% 1.47/1.86 termaposteriori = 0
% 1.47/1.86 demodaposteriori = 0
% 1.47/1.86 ordereqreflfact = 0
% 1.47/1.86
% 1.47/1.86 litselect = negative
% 1.47/1.86
% 1.47/1.86 maxweight = 30000
% 1.47/1.86 maxdepth = 30000
% 1.47/1.86 maxlength = 115
% 1.47/1.86 maxnrvars = 195
% 1.47/1.86 excuselevel = 0
% 1.47/1.86 increasemaxweight = 0
% 1.47/1.86
% 1.47/1.86 maxselected = 10000000
% 1.47/1.86 maxnrclauses = 10000000
% 1.47/1.86
% 1.47/1.86 showgenerated = 0
% 1.47/1.86 showkept = 0
% 1.47/1.86 showselected = 0
% 1.47/1.86 showdeleted = 0
% 1.47/1.86 showresimp = 1
% 1.47/1.86 showstatus = 2000
% 1.47/1.86
% 1.47/1.86 prologoutput = 0
% 1.47/1.86 nrgoals = 5000000
% 1.47/1.86 totalproof = 1
% 1.47/1.86
% 1.47/1.86 Symbols occurring in the translation:
% 1.47/1.86
% 1.47/1.86 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.47/1.86 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 1.47/1.86 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 1.47/1.86 ! [4, 1] (w:1, o:14, a:1, s:1, b:0),
% 1.47/1.86 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.47/1.86 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.47/1.86 cartesian_product2 [38, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.47/1.86 powerset [39, 1] (w:1, o:19, a:1, s:1, b:0),
% 1.47/1.86 element [40, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.47/1.86 relation [41, 1] (w:1, o:20, a:1, s:1, b:0),
% 1.47/1.86 relation_of2 [42, 3] (w:1, o:53, a:1, s:1, b:0),
% 1.47/1.86 subset [43, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.47/1.86 relation_of2_as_subset [44, 3] (w:1, o:54, a:1, s:1, b:0),
% 1.47/1.86 relation_dom [46, 1] (w:1, o:21, a:1, s:1, b:0),
% 1.47/1.86 relation_rng [47, 1] (w:1, o:22, a:1, s:1, b:0),
% 1.47/1.86 skol1 [48, 2] (w:1, o:51, a:1, s:1, b:0),
% 1.47/1.86 skol2 [49, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.47/1.86 skol3 [50, 2] (w:1, o:52, a:1, s:1, b:0),
% 1.47/1.86 skol4 [51, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.47/1.86 skol5 [52, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.47/1.86 skol6 [53, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.47/1.86 skol7 [54, 0] (w:1, o:13, a:1, s:1, b:0).
% 1.47/1.86
% 1.47/1.86
% 1.47/1.86 Starting Search:
% 1.47/1.86
% 1.47/1.86 *** allocated 15000 integers for clauses
% 1.47/1.86 *** allocated 22500 integers for clauses
% 1.47/1.86 *** allocated 33750 integers for clauses
% 1.47/1.86 *** allocated 50625 integers for clauses
% 1.47/1.86 *** allocated 75937 integers for clauses
% 1.47/1.86 *** allocated 15000 integers for termspace/termends
% 1.47/1.86 *** allocated 113905 integers for clauses
% 1.47/1.86 Resimplifying inuse:
% 1.47/1.86 Done
% 1.47/1.86
% 1.47/1.86 *** allocated 22500 integers for termspace/termends
% 2.45/2.84 *** allocated 170857 integers for clauses
% 2.45/2.84 *** allocated 33750 integers for termspace/termends
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 2180
% 2.45/2.84 Kept: 2001
% 2.45/2.84 Inuse: 259
% 2.45/2.84 Deleted: 5
% 2.45/2.84 Deletedinuse: 0
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 *** allocated 256285 integers for clauses
% 2.45/2.84 *** allocated 50625 integers for termspace/termends
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 *** allocated 384427 integers for clauses
% 2.45/2.84 *** allocated 75937 integers for termspace/termends
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 4271
% 2.45/2.84 Kept: 4004
% 2.45/2.84 Inuse: 368
% 2.45/2.84 Deleted: 9
% 2.45/2.84 Deletedinuse: 0
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 *** allocated 576640 integers for clauses
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 *** allocated 113905 integers for termspace/termends
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 6307
% 2.45/2.84 Kept: 6004
% 2.45/2.84 Inuse: 501
% 2.45/2.84 Deleted: 9
% 2.45/2.84 Deletedinuse: 0
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 *** allocated 864960 integers for clauses
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 *** allocated 170857 integers for termspace/termends
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 8474
% 2.45/2.84 Kept: 8033
% 2.45/2.84 Inuse: 627
% 2.45/2.84 Deleted: 9
% 2.45/2.84 Deletedinuse: 0
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 *** allocated 1297440 integers for clauses
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 10534
% 2.45/2.84 Kept: 10033
% 2.45/2.84 Inuse: 716
% 2.45/2.84 Deleted: 11
% 2.45/2.84 Deletedinuse: 2
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 *** allocated 256285 integers for termspace/termends
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 12652
% 2.45/2.84 Kept: 12050
% 2.45/2.84 Inuse: 796
% 2.45/2.84 Deleted: 12
% 2.45/2.84 Deletedinuse: 3
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 14772
% 2.45/2.84 Kept: 14062
% 2.45/2.84 Inuse: 902
% 2.45/2.84 Deleted: 15
% 2.45/2.84 Deletedinuse: 6
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 *** allocated 1946160 integers for clauses
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 16861
% 2.45/2.84 Kept: 16068
% 2.45/2.84 Inuse: 1002
% 2.45/2.84 Deleted: 15
% 2.45/2.84 Deletedinuse: 6
% 2.45/2.84
% 2.45/2.84 *** allocated 384427 integers for termspace/termends
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 19448
% 2.45/2.84 Kept: 18530
% 2.45/2.84 Inuse: 1122
% 2.45/2.84 Deleted: 16
% 2.45/2.84 Deletedinuse: 7
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying clauses:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 21770
% 2.45/2.84 Kept: 20826
% 2.45/2.84 Inuse: 1212
% 2.45/2.84 Deleted: 18
% 2.45/2.84 Deletedinuse: 9
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 *** allocated 2919240 integers for clauses
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 23802
% 2.45/2.84 Kept: 22845
% 2.45/2.84 Inuse: 1259
% 2.45/2.84 Deleted: 19
% 2.45/2.84 Deletedinuse: 10
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 *** allocated 576640 integers for termspace/termends
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 25847
% 2.45/2.84 Kept: 24889
% 2.45/2.84 Inuse: 1302
% 2.45/2.84 Deleted: 20
% 2.45/2.84 Deletedinuse: 11
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 28117
% 2.45/2.84 Kept: 27145
% 2.45/2.84 Inuse: 1352
% 2.45/2.84 Deleted: 21
% 2.45/2.84 Deletedinuse: 12
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 30143
% 2.45/2.84 Kept: 29155
% 2.45/2.84 Inuse: 1397
% 2.45/2.84 Deleted: 22
% 2.45/2.84 Deletedinuse: 13
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 32155
% 2.45/2.84 Kept: 31162
% 2.45/2.84 Inuse: 1456
% 2.45/2.84 Deleted: 22
% 2.45/2.84 Deletedinuse: 13
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 34369
% 2.45/2.84 Kept: 33273
% 2.45/2.84 Inuse: 1562
% 2.45/2.84 Deleted: 22
% 2.45/2.84 Deletedinuse: 13
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 *** allocated 864960 integers for termspace/termends
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 36488
% 2.45/2.84 Kept: 35303
% 2.45/2.84 Inuse: 1647
% 2.45/2.84 Deleted: 24
% 2.45/2.84 Deletedinuse: 15
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 *** allocated 4378860 integers for clauses
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 38579
% 2.45/2.84 Kept: 37342
% 2.45/2.84 Inuse: 1665
% 2.45/2.84 Deleted: 25
% 2.45/2.84 Deletedinuse: 16
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 40745
% 2.45/2.84 Kept: 39380
% 2.45/2.84 Inuse: 1727
% 2.45/2.84 Deleted: 26
% 2.45/2.84 Deletedinuse: 17
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying clauses:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 42911
% 2.45/2.84 Kept: 41420
% 2.45/2.84 Inuse: 1816
% 2.45/2.84 Deleted: 27
% 2.45/2.84 Deletedinuse: 18
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 45730
% 2.45/2.84 Kept: 44160
% 2.45/2.84 Inuse: 1867
% 2.45/2.84 Deleted: 28
% 2.45/2.84 Deletedinuse: 19
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 47951
% 2.45/2.84 Kept: 46183
% 2.45/2.84 Inuse: 1931
% 2.45/2.84 Deleted: 30
% 2.45/2.84 Deletedinuse: 21
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 50167
% 2.45/2.84 Kept: 48282
% 2.45/2.84 Inuse: 2019
% 2.45/2.84 Deleted: 30
% 2.45/2.84 Deletedinuse: 21
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 52223
% 2.45/2.84 Kept: 50311
% 2.45/2.84 Inuse: 2071
% 2.45/2.84 Deleted: 30
% 2.45/2.84 Deletedinuse: 21
% 2.45/2.84
% 2.45/2.84 *** allocated 1297440 integers for termspace/termends
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 54929
% 2.45/2.84 Kept: 52891
% 2.45/2.84 Inuse: 2107
% 2.45/2.84 Deleted: 30
% 2.45/2.84 Deletedinuse: 21
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 57005
% 2.45/2.84 Kept: 54917
% 2.45/2.84 Inuse: 2160
% 2.45/2.84 Deleted: 31
% 2.45/2.84 Deletedinuse: 22
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 *** allocated 6568290 integers for clauses
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 59044
% 2.45/2.84 Kept: 56930
% 2.45/2.84 Inuse: 2202
% 2.45/2.84 Deleted: 31
% 2.45/2.84 Deletedinuse: 22
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 61080
% 2.45/2.84 Kept: 58942
% 2.45/2.84 Inuse: 2244
% 2.45/2.84 Deleted: 31
% 2.45/2.84 Deletedinuse: 22
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying clauses:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 63221
% 2.45/2.84 Kept: 60963
% 2.45/2.84 Inuse: 2319
% 2.45/2.84 Deleted: 31
% 2.45/2.84 Deletedinuse: 22
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 65424
% 2.45/2.84 Kept: 62999
% 2.45/2.84 Inuse: 2355
% 2.45/2.84 Deleted: 32
% 2.45/2.84 Deletedinuse: 23
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 67951
% 2.45/2.84 Kept: 65343
% 2.45/2.84 Inuse: 2407
% 2.45/2.84 Deleted: 32
% 2.45/2.84 Deletedinuse: 23
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Intermediate Status:
% 2.45/2.84 Generated: 70665
% 2.45/2.84 Kept: 67847
% 2.45/2.84 Inuse: 2467
% 2.45/2.84 Deleted: 33
% 2.45/2.84 Deletedinuse: 24
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84 Resimplifying inuse:
% 2.45/2.84 Done
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Bliksems!, er is een bewijs:
% 2.45/2.84 % SZS status Theorem
% 2.45/2.84 % SZS output start Refutation
% 2.45/2.84
% 2.45/2.84 (0) {G0,W9,D4,L2,V3,M1} I { relation( X ), ! element( X, powerset(
% 2.45/2.84 cartesian_product2( Y, Z ) ) ) }.
% 2.45/2.84 (2) {G0,W10,D3,L2,V3,M1} I { relation_of2( Z, X, Y ), ! subset( Z,
% 2.45/2.84 cartesian_product2( X, Y ) ) }.
% 2.45/2.84 (4) {G0,W11,D4,L2,V3,M1} I { element( Z, powerset( cartesian_product2( X, Y
% 2.45/2.84 ) ) ), ! relation_of2_as_subset( Z, X, Y ) }.
% 2.45/2.84 (9) {G0,W9,D2,L2,V3,M1} I { relation_of2_as_subset( Z, X, Y ), !
% 2.45/2.84 relation_of2( Z, X, Y ) }.
% 2.45/2.84 (10) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 2.45/2.84 (11) {G0,W15,D3,L3,V4,M1} I { ! subset( X, Y ), subset( cartesian_product2
% 2.45/2.84 ( X, Z ), cartesian_product2( Y, T ) ), ! subset( Z, T ) }.
% 2.45/2.84 (12) {G0,W9,D3,L2,V3,M1} I { subset( relation_dom( Z ), X ), !
% 2.45/2.84 relation_of2_as_subset( Z, X, Y ) }.
% 2.45/2.84 (14) {G0,W4,D2,L1,V0,M1} I { relation_of2_as_subset( skol5, skol4, skol6 )
% 2.45/2.84 }.
% 2.45/2.84 (15) {G0,W4,D3,L1,V0,M1} I { subset( relation_rng( skol5 ), skol7 ) }.
% 2.45/2.84 (16) {G0,W5,D2,L1,V0,M1} I { ! relation_of2_as_subset( skol5, skol4, skol7
% 2.45/2.84 ) }.
% 2.45/2.84 (17) {G0,W11,D2,L3,V3,M1} I { ! subset( X, Z ), subset( X, Y ), ! subset( Z
% 2.45/2.84 , Y ) }.
% 2.45/2.84 (18) {G0,W10,D4,L2,V1,M1} I { subset( X, cartesian_product2( relation_dom(
% 2.45/2.84 X ), relation_rng( X ) ) ), ! relation( X ) }.
% 2.45/2.84 (32) {G1,W6,D4,L1,V0,M1} R(4,14) { element( skol5, powerset(
% 2.45/2.84 cartesian_product2( skol4, skol6 ) ) ) }.
% 2.45/2.84 (34) {G2,W2,D2,L1,V0,M1} R(32,0) { relation( skol5 ) }.
% 2.45/2.84 (46) {G1,W12,D4,L2,V2,M1} R(11,15) { subset( cartesian_product2( X,
% 2.45/2.84 relation_rng( skol5 ) ), cartesian_product2( Y, skol7 ) ), ! subset( X, Y
% 2.45/2.84 ) }.
% 2.45/2.84 (47) {G1,W11,D3,L2,V3,M1} R(11,10) { subset( cartesian_product2( X, Z ),
% 2.45/2.84 cartesian_product2( Y, Z ) ), ! subset( X, Y ) }.
% 2.45/2.84 (60) {G1,W4,D3,L1,V0,M1} R(12,14) { subset( relation_dom( skol5 ), skol4 )
% 2.45/2.84 }.
% 2.45/2.84 (92) {G3,W7,D4,L1,V0,M1} R(18,34) { subset( skol5, cartesian_product2(
% 2.45/2.84 relation_dom( skol5 ), relation_rng( skol5 ) ) ) }.
% 2.45/2.84 (272) {G2,W8,D4,L1,V1,M1} R(46,10) { subset( cartesian_product2( X,
% 2.45/2.84 relation_rng( skol5 ) ), cartesian_product2( X, skol7 ) ) }.
% 2.45/2.84 (314) {G2,W8,D4,L1,V1,M1} R(47,60) { subset( cartesian_product2(
% 2.45/2.84 relation_dom( skol5 ), X ), cartesian_product2( skol4, X ) ) }.
% 2.45/2.84 (628) {G3,W12,D4,L2,V2,M1} R(314,17) { subset( X, cartesian_product2( skol4
% 2.45/2.84 , Y ) ), ! subset( X, cartesian_product2( relation_dom( skol5 ), Y ) )
% 2.45/2.84 }.
% 2.45/2.84 (683) {G3,W12,D4,L2,V2,M1} R(272,17) { subset( X, cartesian_product2( Y,
% 2.45/2.84 skol7 ) ), ! subset( X, cartesian_product2( Y, relation_rng( skol5 ) ) )
% 2.45/2.84 }.
% 2.45/2.84 (61587) {G4,W6,D4,L1,V0,M1} R(628,92) { subset( skol5, cartesian_product2(
% 2.45/2.84 skol4, relation_rng( skol5 ) ) ) }.
% 2.45/2.84 (69219) {G5,W5,D3,L1,V0,M1} R(683,61587) { subset( skol5,
% 2.45/2.84 cartesian_product2( skol4, skol7 ) ) }.
% 2.45/2.84 (69417) {G6,W4,D2,L1,V0,M1} R(69219,2) { relation_of2( skol5, skol4, skol7
% 2.45/2.84 ) }.
% 2.45/2.84 (69419) {G7,W0,D0,L0,V0,M0} R(69417,9);r(16) { }.
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 % SZS output end Refutation
% 2.45/2.84 found a proof!
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Unprocessed initial clauses:
% 2.45/2.84
% 2.45/2.84 (69421) {G0,W9,D4,L2,V3,M2} { ! element( X, powerset( cartesian_product2(
% 2.45/2.84 Y, Z ) ) ), relation( X ) }.
% 2.45/2.84 (69422) {G0,W10,D3,L2,V3,M2} { ! relation_of2( Z, X, Y ), subset( Z,
% 2.45/2.84 cartesian_product2( X, Y ) ) }.
% 2.45/2.84 (69423) {G0,W10,D3,L2,V3,M2} { ! subset( Z, cartesian_product2( X, Y ) ),
% 2.45/2.84 relation_of2( Z, X, Y ) }.
% 2.45/2.84 (69424) {G0,W1,D1,L1,V0,M1} { && }.
% 2.45/2.84 (69425) {G0,W1,D1,L1,V0,M1} { && }.
% 2.45/2.84 (69426) {G0,W1,D1,L1,V0,M1} { && }.
% 2.45/2.84 (69427) {G0,W1,D1,L1,V0,M1} { && }.
% 2.45/2.84 (69428) {G0,W1,D1,L1,V0,M1} { && }.
% 2.45/2.84 (69429) {G0,W1,D1,L1,V0,M1} { && }.
% 2.45/2.84 (69430) {G0,W11,D4,L2,V3,M2} { ! relation_of2_as_subset( Z, X, Y ),
% 2.45/2.84 element( Z, powerset( cartesian_product2( X, Y ) ) ) }.
% 2.45/2.84 (69431) {G0,W6,D3,L1,V2,M1} { relation_of2( skol1( X, Y ), X, Y ) }.
% 2.45/2.84 (69432) {G0,W4,D3,L1,V1,M1} { element( skol2( X ), X ) }.
% 2.45/2.84 (69433) {G0,W6,D3,L1,V2,M1} { relation_of2_as_subset( skol3( X, Y ), X, Y
% 2.45/2.84 ) }.
% 2.45/2.84 (69434) {G0,W9,D2,L2,V3,M2} { ! relation_of2_as_subset( Z, X, Y ),
% 2.45/2.84 relation_of2( Z, X, Y ) }.
% 2.45/2.84 (69435) {G0,W9,D2,L2,V3,M2} { ! relation_of2( Z, X, Y ),
% 2.45/2.84 relation_of2_as_subset( Z, X, Y ) }.
% 2.45/2.84 (69436) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 2.45/2.84 (69437) {G0,W15,D3,L3,V4,M3} { ! subset( X, Y ), ! subset( Z, T ), subset
% 2.45/2.84 ( cartesian_product2( X, Z ), cartesian_product2( Y, T ) ) }.
% 2.45/2.84 (69438) {G0,W9,D3,L2,V3,M2} { ! relation_of2_as_subset( Z, X, Y ), subset
% 2.45/2.84 ( relation_dom( Z ), X ) }.
% 2.45/2.84 (69439) {G0,W9,D3,L2,V3,M2} { ! relation_of2_as_subset( Z, X, Y ), subset
% 2.45/2.84 ( relation_rng( Z ), Y ) }.
% 2.45/2.84 (69440) {G0,W4,D2,L1,V0,M1} { relation_of2_as_subset( skol5, skol4, skol6
% 2.45/2.84 ) }.
% 2.45/2.84 (69441) {G0,W4,D3,L1,V0,M1} { subset( relation_rng( skol5 ), skol7 ) }.
% 2.45/2.84 (69442) {G0,W5,D2,L1,V0,M1} { ! relation_of2_as_subset( skol5, skol4,
% 2.45/2.84 skol7 ) }.
% 2.45/2.84 (69443) {G0,W11,D2,L3,V3,M3} { ! subset( X, Z ), ! subset( Z, Y ), subset
% 2.45/2.84 ( X, Y ) }.
% 2.45/2.84 (69444) {G0,W10,D4,L2,V1,M2} { ! relation( X ), subset( X,
% 2.45/2.84 cartesian_product2( relation_dom( X ), relation_rng( X ) ) ) }.
% 2.45/2.84 (69445) {G0,W8,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 2.45/2.84 ) }.
% 2.45/2.84 (69446) {G0,W8,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 2.45/2.84 ) }.
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Total Proof:
% 2.45/2.84
% 2.45/2.84 subsumption: (0) {G0,W9,D4,L2,V3,M1} I { relation( X ), ! element( X,
% 2.45/2.84 powerset( cartesian_product2( Y, Z ) ) ) }.
% 2.45/2.84 parent0: (69421) {G0,W9,D4,L2,V3,M2} { ! element( X, powerset(
% 2.45/2.84 cartesian_product2( Y, Z ) ) ), relation( X ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := Y
% 2.45/2.84 Z := Z
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 1
% 2.45/2.84 1 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (2) {G0,W10,D3,L2,V3,M1} I { relation_of2( Z, X, Y ), ! subset
% 2.45/2.84 ( Z, cartesian_product2( X, Y ) ) }.
% 2.45/2.84 parent0: (69423) {G0,W10,D3,L2,V3,M2} { ! subset( Z, cartesian_product2( X
% 2.45/2.84 , Y ) ), relation_of2( Z, X, Y ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := Y
% 2.45/2.84 Z := Z
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 1
% 2.45/2.84 1 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (4) {G0,W11,D4,L2,V3,M1} I { element( Z, powerset(
% 2.45/2.84 cartesian_product2( X, Y ) ) ), ! relation_of2_as_subset( Z, X, Y ) }.
% 2.45/2.84 parent0: (69430) {G0,W11,D4,L2,V3,M2} { ! relation_of2_as_subset( Z, X, Y
% 2.45/2.84 ), element( Z, powerset( cartesian_product2( X, Y ) ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := Y
% 2.45/2.84 Z := Z
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 1
% 2.45/2.84 1 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (9) {G0,W9,D2,L2,V3,M1} I { relation_of2_as_subset( Z, X, Y )
% 2.45/2.84 , ! relation_of2( Z, X, Y ) }.
% 2.45/2.84 parent0: (69435) {G0,W9,D2,L2,V3,M2} { ! relation_of2( Z, X, Y ),
% 2.45/2.84 relation_of2_as_subset( Z, X, Y ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := Y
% 2.45/2.84 Z := Z
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 1
% 2.45/2.84 1 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (10) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 2.45/2.84 parent0: (69436) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (11) {G0,W15,D3,L3,V4,M1} I { ! subset( X, Y ), subset(
% 2.45/2.84 cartesian_product2( X, Z ), cartesian_product2( Y, T ) ), ! subset( Z, T
% 2.45/2.84 ) }.
% 2.45/2.84 parent0: (69437) {G0,W15,D3,L3,V4,M3} { ! subset( X, Y ), ! subset( Z, T )
% 2.45/2.84 , subset( cartesian_product2( X, Z ), cartesian_product2( Y, T ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := Y
% 2.45/2.84 Z := Z
% 2.45/2.84 T := T
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 0
% 2.45/2.84 1 ==> 2
% 2.45/2.84 2 ==> 1
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (12) {G0,W9,D3,L2,V3,M1} I { subset( relation_dom( Z ), X ), !
% 2.45/2.84 relation_of2_as_subset( Z, X, Y ) }.
% 2.45/2.84 parent0: (69438) {G0,W9,D3,L2,V3,M2} { ! relation_of2_as_subset( Z, X, Y )
% 2.45/2.84 , subset( relation_dom( Z ), X ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := Y
% 2.45/2.84 Z := Z
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 1
% 2.45/2.84 1 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (14) {G0,W4,D2,L1,V0,M1} I { relation_of2_as_subset( skol5,
% 2.45/2.84 skol4, skol6 ) }.
% 2.45/2.84 parent0: (69440) {G0,W4,D2,L1,V0,M1} { relation_of2_as_subset( skol5,
% 2.45/2.84 skol4, skol6 ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (15) {G0,W4,D3,L1,V0,M1} I { subset( relation_rng( skol5 ),
% 2.45/2.84 skol7 ) }.
% 2.45/2.84 parent0: (69441) {G0,W4,D3,L1,V0,M1} { subset( relation_rng( skol5 ),
% 2.45/2.84 skol7 ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (16) {G0,W5,D2,L1,V0,M1} I { ! relation_of2_as_subset( skol5,
% 2.45/2.84 skol4, skol7 ) }.
% 2.45/2.84 parent0: (69442) {G0,W5,D2,L1,V0,M1} { ! relation_of2_as_subset( skol5,
% 2.45/2.84 skol4, skol7 ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (17) {G0,W11,D2,L3,V3,M1} I { ! subset( X, Z ), subset( X, Y )
% 2.45/2.84 , ! subset( Z, Y ) }.
% 2.45/2.84 parent0: (69443) {G0,W11,D2,L3,V3,M3} { ! subset( X, Z ), ! subset( Z, Y )
% 2.45/2.84 , subset( X, Y ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := Y
% 2.45/2.84 Z := Z
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 0
% 2.45/2.84 1 ==> 2
% 2.45/2.84 2 ==> 1
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (18) {G0,W10,D4,L2,V1,M1} I { subset( X, cartesian_product2(
% 2.45/2.84 relation_dom( X ), relation_rng( X ) ) ), ! relation( X ) }.
% 2.45/2.84 parent0: (69444) {G0,W10,D4,L2,V1,M2} { ! relation( X ), subset( X,
% 2.45/2.84 cartesian_product2( relation_dom( X ), relation_rng( X ) ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 1
% 2.45/2.84 1 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 resolution: (69456) {G1,W6,D4,L1,V0,M1} { element( skol5, powerset(
% 2.45/2.84 cartesian_product2( skol4, skol6 ) ) ) }.
% 2.45/2.84 parent0[1]: (4) {G0,W11,D4,L2,V3,M1} I { element( Z, powerset(
% 2.45/2.84 cartesian_product2( X, Y ) ) ), ! relation_of2_as_subset( Z, X, Y ) }.
% 2.45/2.84 parent1[0]: (14) {G0,W4,D2,L1,V0,M1} I { relation_of2_as_subset( skol5,
% 2.45/2.84 skol4, skol6 ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := skol4
% 2.45/2.84 Y := skol6
% 2.45/2.84 Z := skol5
% 2.45/2.84 end
% 2.45/2.84 substitution1:
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (32) {G1,W6,D4,L1,V0,M1} R(4,14) { element( skol5, powerset(
% 2.45/2.84 cartesian_product2( skol4, skol6 ) ) ) }.
% 2.45/2.84 parent0: (69456) {G1,W6,D4,L1,V0,M1} { element( skol5, powerset(
% 2.45/2.84 cartesian_product2( skol4, skol6 ) ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 resolution: (69457) {G1,W2,D2,L1,V0,M1} { relation( skol5 ) }.
% 2.45/2.84 parent0[1]: (0) {G0,W9,D4,L2,V3,M1} I { relation( X ), ! element( X,
% 2.45/2.84 powerset( cartesian_product2( Y, Z ) ) ) }.
% 2.45/2.84 parent1[0]: (32) {G1,W6,D4,L1,V0,M1} R(4,14) { element( skol5, powerset(
% 2.45/2.84 cartesian_product2( skol4, skol6 ) ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := skol5
% 2.45/2.84 Y := skol4
% 2.45/2.84 Z := skol6
% 2.45/2.84 end
% 2.45/2.84 substitution1:
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (34) {G2,W2,D2,L1,V0,M1} R(32,0) { relation( skol5 ) }.
% 2.45/2.84 parent0: (69457) {G1,W2,D2,L1,V0,M1} { relation( skol5 ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 resolution: (69459) {G1,W12,D4,L2,V2,M2} { ! subset( X, Y ), subset(
% 2.45/2.84 cartesian_product2( X, relation_rng( skol5 ) ), cartesian_product2( Y,
% 2.45/2.84 skol7 ) ) }.
% 2.45/2.84 parent0[2]: (11) {G0,W15,D3,L3,V4,M1} I { ! subset( X, Y ), subset(
% 2.45/2.84 cartesian_product2( X, Z ), cartesian_product2( Y, T ) ), ! subset( Z, T
% 2.45/2.84 ) }.
% 2.45/2.84 parent1[0]: (15) {G0,W4,D3,L1,V0,M1} I { subset( relation_rng( skol5 ),
% 2.45/2.84 skol7 ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := Y
% 2.45/2.84 Z := relation_rng( skol5 )
% 2.45/2.84 T := skol7
% 2.45/2.84 end
% 2.45/2.84 substitution1:
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (46) {G1,W12,D4,L2,V2,M1} R(11,15) { subset(
% 2.45/2.84 cartesian_product2( X, relation_rng( skol5 ) ), cartesian_product2( Y,
% 2.45/2.84 skol7 ) ), ! subset( X, Y ) }.
% 2.45/2.84 parent0: (69459) {G1,W12,D4,L2,V2,M2} { ! subset( X, Y ), subset(
% 2.45/2.84 cartesian_product2( X, relation_rng( skol5 ) ), cartesian_product2( Y,
% 2.45/2.84 skol7 ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := Y
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 1
% 2.45/2.84 1 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 resolution: (69461) {G1,W11,D3,L2,V3,M2} { ! subset( X, Y ), subset(
% 2.45/2.84 cartesian_product2( X, Z ), cartesian_product2( Y, Z ) ) }.
% 2.45/2.84 parent0[2]: (11) {G0,W15,D3,L3,V4,M1} I { ! subset( X, Y ), subset(
% 2.45/2.84 cartesian_product2( X, Z ), cartesian_product2( Y, T ) ), ! subset( Z, T
% 2.45/2.84 ) }.
% 2.45/2.84 parent1[0]: (10) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := Y
% 2.45/2.84 Z := Z
% 2.45/2.84 T := Z
% 2.45/2.84 end
% 2.45/2.84 substitution1:
% 2.45/2.84 X := Z
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (47) {G1,W11,D3,L2,V3,M1} R(11,10) { subset(
% 2.45/2.84 cartesian_product2( X, Z ), cartesian_product2( Y, Z ) ), ! subset( X, Y
% 2.45/2.84 ) }.
% 2.45/2.84 parent0: (69461) {G1,W11,D3,L2,V3,M2} { ! subset( X, Y ), subset(
% 2.45/2.84 cartesian_product2( X, Z ), cartesian_product2( Y, Z ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := Y
% 2.45/2.84 Z := Z
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 1
% 2.45/2.84 1 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 resolution: (69462) {G1,W4,D3,L1,V0,M1} { subset( relation_dom( skol5 ),
% 2.45/2.84 skol4 ) }.
% 2.45/2.84 parent0[1]: (12) {G0,W9,D3,L2,V3,M1} I { subset( relation_dom( Z ), X ), !
% 2.45/2.84 relation_of2_as_subset( Z, X, Y ) }.
% 2.45/2.84 parent1[0]: (14) {G0,W4,D2,L1,V0,M1} I { relation_of2_as_subset( skol5,
% 2.45/2.84 skol4, skol6 ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := skol4
% 2.45/2.84 Y := skol6
% 2.45/2.84 Z := skol5
% 2.45/2.84 end
% 2.45/2.84 substitution1:
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (60) {G1,W4,D3,L1,V0,M1} R(12,14) { subset( relation_dom(
% 2.45/2.84 skol5 ), skol4 ) }.
% 2.45/2.84 parent0: (69462) {G1,W4,D3,L1,V0,M1} { subset( relation_dom( skol5 ),
% 2.45/2.84 skol4 ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 resolution: (69463) {G1,W7,D4,L1,V0,M1} { subset( skol5,
% 2.45/2.84 cartesian_product2( relation_dom( skol5 ), relation_rng( skol5 ) ) ) }.
% 2.45/2.84 parent0[1]: (18) {G0,W10,D4,L2,V1,M1} I { subset( X, cartesian_product2(
% 2.45/2.84 relation_dom( X ), relation_rng( X ) ) ), ! relation( X ) }.
% 2.45/2.84 parent1[0]: (34) {G2,W2,D2,L1,V0,M1} R(32,0) { relation( skol5 ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := skol5
% 2.45/2.84 end
% 2.45/2.84 substitution1:
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (92) {G3,W7,D4,L1,V0,M1} R(18,34) { subset( skol5,
% 2.45/2.84 cartesian_product2( relation_dom( skol5 ), relation_rng( skol5 ) ) ) }.
% 2.45/2.84 parent0: (69463) {G1,W7,D4,L1,V0,M1} { subset( skol5, cartesian_product2(
% 2.45/2.84 relation_dom( skol5 ), relation_rng( skol5 ) ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 resolution: (69464) {G1,W8,D4,L1,V1,M1} { subset( cartesian_product2( X,
% 2.45/2.84 relation_rng( skol5 ) ), cartesian_product2( X, skol7 ) ) }.
% 2.45/2.84 parent0[1]: (46) {G1,W12,D4,L2,V2,M1} R(11,15) { subset( cartesian_product2
% 2.45/2.84 ( X, relation_rng( skol5 ) ), cartesian_product2( Y, skol7 ) ), ! subset
% 2.45/2.84 ( X, Y ) }.
% 2.45/2.84 parent1[0]: (10) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := X
% 2.45/2.84 end
% 2.45/2.84 substitution1:
% 2.45/2.84 X := X
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (272) {G2,W8,D4,L1,V1,M1} R(46,10) { subset(
% 2.45/2.84 cartesian_product2( X, relation_rng( skol5 ) ), cartesian_product2( X,
% 2.45/2.84 skol7 ) ) }.
% 2.45/2.84 parent0: (69464) {G1,W8,D4,L1,V1,M1} { subset( cartesian_product2( X,
% 2.45/2.84 relation_rng( skol5 ) ), cartesian_product2( X, skol7 ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 resolution: (69465) {G2,W8,D4,L1,V1,M1} { subset( cartesian_product2(
% 2.45/2.84 relation_dom( skol5 ), X ), cartesian_product2( skol4, X ) ) }.
% 2.45/2.84 parent0[1]: (47) {G1,W11,D3,L2,V3,M1} R(11,10) { subset( cartesian_product2
% 2.45/2.84 ( X, Z ), cartesian_product2( Y, Z ) ), ! subset( X, Y ) }.
% 2.45/2.84 parent1[0]: (60) {G1,W4,D3,L1,V0,M1} R(12,14) { subset( relation_dom( skol5
% 2.45/2.84 ), skol4 ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := relation_dom( skol5 )
% 2.45/2.84 Y := skol4
% 2.45/2.84 Z := X
% 2.45/2.84 end
% 2.45/2.84 substitution1:
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (314) {G2,W8,D4,L1,V1,M1} R(47,60) { subset(
% 2.45/2.84 cartesian_product2( relation_dom( skol5 ), X ), cartesian_product2( skol4
% 2.45/2.84 , X ) ) }.
% 2.45/2.84 parent0: (69465) {G2,W8,D4,L1,V1,M1} { subset( cartesian_product2(
% 2.45/2.84 relation_dom( skol5 ), X ), cartesian_product2( skol4, X ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 resolution: (69467) {G1,W12,D4,L2,V2,M2} { ! subset( X, cartesian_product2
% 2.45/2.84 ( relation_dom( skol5 ), Y ) ), subset( X, cartesian_product2( skol4, Y )
% 2.45/2.84 ) }.
% 2.45/2.84 parent0[2]: (17) {G0,W11,D2,L3,V3,M1} I { ! subset( X, Z ), subset( X, Y )
% 2.45/2.84 , ! subset( Z, Y ) }.
% 2.45/2.84 parent1[0]: (314) {G2,W8,D4,L1,V1,M1} R(47,60) { subset( cartesian_product2
% 2.45/2.84 ( relation_dom( skol5 ), X ), cartesian_product2( skol4, X ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := cartesian_product2( skol4, Y )
% 2.45/2.84 Z := cartesian_product2( relation_dom( skol5 ), Y )
% 2.45/2.84 end
% 2.45/2.84 substitution1:
% 2.45/2.84 X := Y
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (628) {G3,W12,D4,L2,V2,M1} R(314,17) { subset( X,
% 2.45/2.84 cartesian_product2( skol4, Y ) ), ! subset( X, cartesian_product2(
% 2.45/2.84 relation_dom( skol5 ), Y ) ) }.
% 2.45/2.84 parent0: (69467) {G1,W12,D4,L2,V2,M2} { ! subset( X, cartesian_product2(
% 2.45/2.84 relation_dom( skol5 ), Y ) ), subset( X, cartesian_product2( skol4, Y ) )
% 2.45/2.84 }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := Y
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 1
% 2.45/2.84 1 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 resolution: (69469) {G1,W12,D4,L2,V2,M2} { ! subset( X, cartesian_product2
% 2.45/2.84 ( Y, relation_rng( skol5 ) ) ), subset( X, cartesian_product2( Y, skol7 )
% 2.45/2.84 ) }.
% 2.45/2.84 parent0[2]: (17) {G0,W11,D2,L3,V3,M1} I { ! subset( X, Z ), subset( X, Y )
% 2.45/2.84 , ! subset( Z, Y ) }.
% 2.45/2.84 parent1[0]: (272) {G2,W8,D4,L1,V1,M1} R(46,10) { subset( cartesian_product2
% 2.45/2.84 ( X, relation_rng( skol5 ) ), cartesian_product2( X, skol7 ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := cartesian_product2( Y, skol7 )
% 2.45/2.84 Z := cartesian_product2( Y, relation_rng( skol5 ) )
% 2.45/2.84 end
% 2.45/2.84 substitution1:
% 2.45/2.84 X := Y
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (683) {G3,W12,D4,L2,V2,M1} R(272,17) { subset( X,
% 2.45/2.84 cartesian_product2( Y, skol7 ) ), ! subset( X, cartesian_product2( Y,
% 2.45/2.84 relation_rng( skol5 ) ) ) }.
% 2.45/2.84 parent0: (69469) {G1,W12,D4,L2,V2,M2} { ! subset( X, cartesian_product2( Y
% 2.45/2.84 , relation_rng( skol5 ) ) ), subset( X, cartesian_product2( Y, skol7 ) )
% 2.45/2.84 }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := X
% 2.45/2.84 Y := Y
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 1
% 2.45/2.84 1 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 resolution: (69470) {G4,W6,D4,L1,V0,M1} { subset( skol5,
% 2.45/2.84 cartesian_product2( skol4, relation_rng( skol5 ) ) ) }.
% 2.45/2.84 parent0[1]: (628) {G3,W12,D4,L2,V2,M1} R(314,17) { subset( X,
% 2.45/2.84 cartesian_product2( skol4, Y ) ), ! subset( X, cartesian_product2(
% 2.45/2.84 relation_dom( skol5 ), Y ) ) }.
% 2.45/2.84 parent1[0]: (92) {G3,W7,D4,L1,V0,M1} R(18,34) { subset( skol5,
% 2.45/2.84 cartesian_product2( relation_dom( skol5 ), relation_rng( skol5 ) ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := skol5
% 2.45/2.84 Y := relation_rng( skol5 )
% 2.45/2.84 end
% 2.45/2.84 substitution1:
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (61587) {G4,W6,D4,L1,V0,M1} R(628,92) { subset( skol5,
% 2.45/2.84 cartesian_product2( skol4, relation_rng( skol5 ) ) ) }.
% 2.45/2.84 parent0: (69470) {G4,W6,D4,L1,V0,M1} { subset( skol5, cartesian_product2(
% 2.45/2.84 skol4, relation_rng( skol5 ) ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 resolution: (69471) {G4,W5,D3,L1,V0,M1} { subset( skol5,
% 2.45/2.84 cartesian_product2( skol4, skol7 ) ) }.
% 2.45/2.84 parent0[1]: (683) {G3,W12,D4,L2,V2,M1} R(272,17) { subset( X,
% 2.45/2.84 cartesian_product2( Y, skol7 ) ), ! subset( X, cartesian_product2( Y,
% 2.45/2.84 relation_rng( skol5 ) ) ) }.
% 2.45/2.84 parent1[0]: (61587) {G4,W6,D4,L1,V0,M1} R(628,92) { subset( skol5,
% 2.45/2.84 cartesian_product2( skol4, relation_rng( skol5 ) ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := skol5
% 2.45/2.84 Y := skol4
% 2.45/2.84 end
% 2.45/2.84 substitution1:
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (69219) {G5,W5,D3,L1,V0,M1} R(683,61587) { subset( skol5,
% 2.45/2.84 cartesian_product2( skol4, skol7 ) ) }.
% 2.45/2.84 parent0: (69471) {G4,W5,D3,L1,V0,M1} { subset( skol5, cartesian_product2(
% 2.45/2.84 skol4, skol7 ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 resolution: (69472) {G1,W4,D2,L1,V0,M1} { relation_of2( skol5, skol4,
% 2.45/2.84 skol7 ) }.
% 2.45/2.84 parent0[1]: (2) {G0,W10,D3,L2,V3,M1} I { relation_of2( Z, X, Y ), ! subset
% 2.45/2.84 ( Z, cartesian_product2( X, Y ) ) }.
% 2.45/2.84 parent1[0]: (69219) {G5,W5,D3,L1,V0,M1} R(683,61587) { subset( skol5,
% 2.45/2.84 cartesian_product2( skol4, skol7 ) ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := skol4
% 2.45/2.84 Y := skol7
% 2.45/2.84 Z := skol5
% 2.45/2.84 end
% 2.45/2.84 substitution1:
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (69417) {G6,W4,D2,L1,V0,M1} R(69219,2) { relation_of2( skol5,
% 2.45/2.84 skol4, skol7 ) }.
% 2.45/2.84 parent0: (69472) {G1,W4,D2,L1,V0,M1} { relation_of2( skol5, skol4, skol7 )
% 2.45/2.84 }.
% 2.45/2.84 substitution0:
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 0 ==> 0
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 resolution: (69473) {G1,W4,D2,L1,V0,M1} { relation_of2_as_subset( skol5,
% 2.45/2.84 skol4, skol7 ) }.
% 2.45/2.84 parent0[1]: (9) {G0,W9,D2,L2,V3,M1} I { relation_of2_as_subset( Z, X, Y ),
% 2.45/2.84 ! relation_of2( Z, X, Y ) }.
% 2.45/2.84 parent1[0]: (69417) {G6,W4,D2,L1,V0,M1} R(69219,2) { relation_of2( skol5,
% 2.45/2.84 skol4, skol7 ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 X := skol4
% 2.45/2.84 Y := skol7
% 2.45/2.84 Z := skol5
% 2.45/2.84 end
% 2.45/2.84 substitution1:
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 resolution: (69474) {G1,W0,D0,L0,V0,M0} { }.
% 2.45/2.84 parent0[0]: (16) {G0,W5,D2,L1,V0,M1} I { ! relation_of2_as_subset( skol5,
% 2.45/2.84 skol4, skol7 ) }.
% 2.45/2.84 parent1[0]: (69473) {G1,W4,D2,L1,V0,M1} { relation_of2_as_subset( skol5,
% 2.45/2.84 skol4, skol7 ) }.
% 2.45/2.84 substitution0:
% 2.45/2.84 end
% 2.45/2.84 substitution1:
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 subsumption: (69419) {G7,W0,D0,L0,V0,M0} R(69417,9);r(16) { }.
% 2.45/2.84 parent0: (69474) {G1,W0,D0,L0,V0,M0} { }.
% 2.45/2.84 substitution0:
% 2.45/2.84 end
% 2.45/2.84 permutation0:
% 2.45/2.84 end
% 2.45/2.84
% 2.45/2.84 Proof check complete!
% 2.45/2.84
% 2.45/2.84 Memory use:
% 2.45/2.84
% 2.45/2.84 space for terms: 1193859
% 2.45/2.84 space for clauses: 5453432
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 clauses generated: 72509
% 2.45/2.84 clauses kept: 69420
% 2.45/2.84 clauses selected: 2534
% 2.45/2.84 clauses deleted: 34
% 2.45/2.84 clauses inuse deleted: 25
% 2.45/2.84
% 2.45/2.84 subsentry: 29720
% 2.45/2.84 literals s-matched: 10010
% 2.45/2.84 literals matched: 10009
% 2.45/2.84 full subsumption: 122
% 2.45/2.84
% 2.45/2.84 checksum: 1983568668
% 2.45/2.84
% 2.45/2.84
% 2.45/2.84 Bliksem ended
%------------------------------------------------------------------------------