TSTP Solution File: SET148+4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET148+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 22:47:37 EDT 2022
% Result : Theorem 3.15s 3.60s
% Output : Refutation 3.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET148+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n008.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 04:26:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.15/3.60 *** allocated 10000 integers for termspace/termends
% 3.15/3.60 *** allocated 10000 integers for clauses
% 3.15/3.60 *** allocated 10000 integers for justifications
% 3.15/3.60 Bliksem 1.12
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Automatic Strategy Selection
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Clauses:
% 3.15/3.60
% 3.15/3.60 { ! subset( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 3.15/3.60 { ! member( skol1( Z, Y ), Y ), subset( X, Y ) }.
% 3.15/3.60 { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 3.15/3.60 { ! equal_set( X, Y ), subset( X, Y ) }.
% 3.15/3.60 { ! equal_set( X, Y ), subset( Y, X ) }.
% 3.15/3.60 { ! subset( X, Y ), ! subset( Y, X ), equal_set( X, Y ) }.
% 3.15/3.60 { ! member( X, power_set( Y ) ), subset( X, Y ) }.
% 3.15/3.60 { ! subset( X, Y ), member( X, power_set( Y ) ) }.
% 3.15/3.60 { ! member( X, intersection( Y, Z ) ), member( X, Y ) }.
% 3.15/3.60 { ! member( X, intersection( Y, Z ) ), member( X, Z ) }.
% 3.15/3.60 { ! member( X, Y ), ! member( X, Z ), member( X, intersection( Y, Z ) ) }.
% 3.15/3.60 { ! member( X, union( Y, Z ) ), member( X, Y ), member( X, Z ) }.
% 3.15/3.60 { ! member( X, Y ), member( X, union( Y, Z ) ) }.
% 3.15/3.60 { ! member( X, Z ), member( X, union( Y, Z ) ) }.
% 3.15/3.60 { ! member( X, empty_set ) }.
% 3.15/3.60 { ! member( X, difference( Z, Y ) ), member( X, Z ) }.
% 3.15/3.60 { ! member( X, difference( Z, Y ) ), ! member( X, Y ) }.
% 3.15/3.60 { ! member( X, Z ), member( X, Y ), member( X, difference( Z, Y ) ) }.
% 3.15/3.60 { ! member( X, singleton( Y ) ), X = Y }.
% 3.15/3.60 { ! X = Y, member( X, singleton( Y ) ) }.
% 3.15/3.60 { ! member( X, unordered_pair( Y, Z ) ), X = Y, X = Z }.
% 3.15/3.60 { ! X = Y, member( X, unordered_pair( Y, Z ) ) }.
% 3.15/3.60 { ! X = Z, member( X, unordered_pair( Y, Z ) ) }.
% 3.15/3.60 { ! member( X, sum( Y ) ), member( skol2( Z, Y ), Y ) }.
% 3.15/3.60 { ! member( X, sum( Y ) ), member( X, skol2( X, Y ) ) }.
% 3.15/3.60 { ! member( Z, Y ), ! member( X, Z ), member( X, sum( Y ) ) }.
% 3.15/3.60 { ! member( X, product( Y ) ), ! member( Z, Y ), member( X, Z ) }.
% 3.15/3.60 { member( skol3( Z, Y ), Y ), member( X, product( Y ) ) }.
% 3.15/3.60 { ! member( X, skol3( X, Y ) ), member( X, product( Y ) ) }.
% 3.15/3.60 { ! equal_set( intersection( skol4, skol4 ), skol4 ) }.
% 3.15/3.60
% 3.15/3.60 percentage equality = 0.090909, percentage horn = 0.833333
% 3.15/3.60 This is a problem with some equality
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Options Used:
% 3.15/3.60
% 3.15/3.60 useres = 1
% 3.15/3.60 useparamod = 1
% 3.15/3.60 useeqrefl = 1
% 3.15/3.60 useeqfact = 1
% 3.15/3.60 usefactor = 1
% 3.15/3.60 usesimpsplitting = 0
% 3.15/3.60 usesimpdemod = 5
% 3.15/3.60 usesimpres = 3
% 3.15/3.60
% 3.15/3.60 resimpinuse = 1000
% 3.15/3.60 resimpclauses = 20000
% 3.15/3.60 substype = eqrewr
% 3.15/3.60 backwardsubs = 1
% 3.15/3.60 selectoldest = 5
% 3.15/3.60
% 3.15/3.60 litorderings [0] = split
% 3.15/3.60 litorderings [1] = extend the termordering, first sorting on arguments
% 3.15/3.60
% 3.15/3.60 termordering = kbo
% 3.15/3.60
% 3.15/3.60 litapriori = 0
% 3.15/3.60 termapriori = 1
% 3.15/3.60 litaposteriori = 0
% 3.15/3.60 termaposteriori = 0
% 3.15/3.60 demodaposteriori = 0
% 3.15/3.60 ordereqreflfact = 0
% 3.15/3.60
% 3.15/3.60 litselect = negord
% 3.15/3.60
% 3.15/3.60 maxweight = 15
% 3.15/3.60 maxdepth = 30000
% 3.15/3.60 maxlength = 115
% 3.15/3.60 maxnrvars = 195
% 3.15/3.60 excuselevel = 1
% 3.15/3.60 increasemaxweight = 1
% 3.15/3.60
% 3.15/3.60 maxselected = 10000000
% 3.15/3.60 maxnrclauses = 10000000
% 3.15/3.60
% 3.15/3.60 showgenerated = 0
% 3.15/3.60 showkept = 0
% 3.15/3.60 showselected = 0
% 3.15/3.60 showdeleted = 0
% 3.15/3.60 showresimp = 1
% 3.15/3.60 showstatus = 2000
% 3.15/3.60
% 3.15/3.60 prologoutput = 0
% 3.15/3.60 nrgoals = 5000000
% 3.15/3.60 totalproof = 1
% 3.15/3.60
% 3.15/3.60 Symbols occurring in the translation:
% 3.15/3.60
% 3.15/3.60 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.15/3.60 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 3.15/3.60 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 3.15/3.60 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.15/3.60 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.15/3.60 subset [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 3.15/3.60 member [39, 2] (w:1, o:47, a:1, s:1, b:0),
% 3.15/3.60 equal_set [40, 2] (w:1, o:49, a:1, s:1, b:0),
% 3.15/3.60 power_set [41, 1] (w:1, o:18, a:1, s:1, b:0),
% 3.15/3.60 intersection [42, 2] (w:1, o:50, a:1, s:1, b:0),
% 3.15/3.60 union [43, 2] (w:1, o:51, a:1, s:1, b:0),
% 3.15/3.60 empty_set [44, 0] (w:1, o:9, a:1, s:1, b:0),
% 3.15/3.60 difference [46, 2] (w:1, o:48, a:1, s:1, b:0),
% 3.15/3.60 singleton [47, 1] (w:1, o:19, a:1, s:1, b:0),
% 3.15/3.60 unordered_pair [48, 2] (w:1, o:52, a:1, s:1, b:0),
% 3.15/3.60 sum [49, 1] (w:1, o:20, a:1, s:1, b:0),
% 3.15/3.60 product [51, 1] (w:1, o:21, a:1, s:1, b:0),
% 3.15/3.60 skol1 [52, 2] (w:1, o:53, a:1, s:1, b:1),
% 3.15/3.60 skol2 [53, 2] (w:1, o:54, a:1, s:1, b:1),
% 3.15/3.60 skol3 [54, 2] (w:1, o:55, a:1, s:1, b:1),
% 3.15/3.60 skol4 [55, 0] (w:1, o:12, a:1, s:1, b:1).
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Starting Search:
% 3.15/3.60
% 3.15/3.60 *** allocated 15000 integers for clauses
% 3.15/3.60 *** allocated 22500 integers for clauses
% 3.15/3.60 *** allocated 33750 integers for clauses
% 3.15/3.60 *** allocated 50625 integers for clauses
% 3.15/3.60 *** allocated 15000 integers for termspace/termends
% 3.15/3.60 *** allocated 75937 integers for clauses
% 3.15/3.60 *** allocated 22500 integers for termspace/termends
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 *** allocated 113905 integers for clauses
% 3.15/3.60 *** allocated 33750 integers for termspace/termends
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 2892
% 3.15/3.60 Kept: 2019
% 3.15/3.60 Inuse: 111
% 3.15/3.60 Deleted: 4
% 3.15/3.60 Deletedinuse: 1
% 3.15/3.60
% 3.15/3.60 *** allocated 170857 integers for clauses
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 *** allocated 50625 integers for termspace/termends
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 *** allocated 256285 integers for clauses
% 3.15/3.60 *** allocated 75937 integers for termspace/termends
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 6102
% 3.15/3.60 Kept: 4110
% 3.15/3.60 Inuse: 148
% 3.15/3.60 Deleted: 7
% 3.15/3.60 Deletedinuse: 4
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 *** allocated 113905 integers for termspace/termends
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 *** allocated 384427 integers for clauses
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 9997
% 3.15/3.60 Kept: 6127
% 3.15/3.60 Inuse: 188
% 3.15/3.60 Deleted: 7
% 3.15/3.60 Deletedinuse: 4
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 14145
% 3.15/3.60 Kept: 8132
% 3.15/3.60 Inuse: 229
% 3.15/3.60 Deleted: 9
% 3.15/3.60 Deletedinuse: 5
% 3.15/3.60
% 3.15/3.60 *** allocated 170857 integers for termspace/termends
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 *** allocated 576640 integers for clauses
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 18671
% 3.15/3.60 Kept: 10140
% 3.15/3.60 Inuse: 277
% 3.15/3.60 Deleted: 9
% 3.15/3.60 Deletedinuse: 5
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 22257
% 3.15/3.60 Kept: 12157
% 3.15/3.60 Inuse: 314
% 3.15/3.60 Deleted: 10
% 3.15/3.60 Deletedinuse: 5
% 3.15/3.60
% 3.15/3.60 *** allocated 256285 integers for termspace/termends
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 *** allocated 864960 integers for clauses
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 26626
% 3.15/3.60 Kept: 14186
% 3.15/3.60 Inuse: 365
% 3.15/3.60 Deleted: 12
% 3.15/3.60 Deletedinuse: 5
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 30433
% 3.15/3.60 Kept: 16209
% 3.15/3.60 Inuse: 410
% 3.15/3.60 Deleted: 17
% 3.15/3.60 Deletedinuse: 9
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 34184
% 3.15/3.60 Kept: 18242
% 3.15/3.60 Inuse: 451
% 3.15/3.60 Deleted: 18
% 3.15/3.60 Deletedinuse: 10
% 3.15/3.60
% 3.15/3.60 *** allocated 384427 integers for termspace/termends
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying clauses:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 38265
% 3.15/3.60 Kept: 20268
% 3.15/3.60 Inuse: 491
% 3.15/3.60 Deleted: 356
% 3.15/3.60 Deletedinuse: 10
% 3.15/3.60
% 3.15/3.60 *** allocated 1297440 integers for clauses
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 41936
% 3.15/3.60 Kept: 22282
% 3.15/3.60 Inuse: 524
% 3.15/3.60 Deleted: 356
% 3.15/3.60 Deletedinuse: 10
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 45871
% 3.15/3.60 Kept: 24328
% 3.15/3.60 Inuse: 569
% 3.15/3.60 Deleted: 356
% 3.15/3.60 Deletedinuse: 10
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 50854
% 3.15/3.60 Kept: 26348
% 3.15/3.60 Inuse: 606
% 3.15/3.60 Deleted: 356
% 3.15/3.60 Deletedinuse: 10
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 *** allocated 576640 integers for termspace/termends
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 55217
% 3.15/3.60 Kept: 28353
% 3.15/3.60 Inuse: 639
% 3.15/3.60 Deleted: 356
% 3.15/3.60 Deletedinuse: 10
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 60194
% 3.15/3.60 Kept: 30512
% 3.15/3.60 Inuse: 672
% 3.15/3.60 Deleted: 356
% 3.15/3.60 Deletedinuse: 10
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 *** allocated 1946160 integers for clauses
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 64636
% 3.15/3.60 Kept: 32533
% 3.15/3.60 Inuse: 701
% 3.15/3.60 Deleted: 356
% 3.15/3.60 Deletedinuse: 10
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Intermediate Status:
% 3.15/3.60 Generated: 68331
% 3.15/3.60 Kept: 34543
% 3.15/3.60 Inuse: 726
% 3.15/3.60 Deleted: 356
% 3.15/3.60 Deletedinuse: 10
% 3.15/3.60
% 3.15/3.60 Resimplifying inuse:
% 3.15/3.60 Done
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Bliksems!, er is een bewijs:
% 3.15/3.60 % SZS status Theorem
% 3.15/3.60 % SZS output start Refutation
% 3.15/3.60
% 3.15/3.60 (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ), subset( X, Y )
% 3.15/3.60 }.
% 3.15/3.60 (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 3.15/3.60 (5) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X ), equal_set(
% 3.15/3.60 X, Y ) }.
% 3.15/3.60 (8) {G0,W8,D3,L2,V3,M2} I { ! member( X, intersection( Y, Z ) ), member( X
% 3.15/3.60 , Y ) }.
% 3.15/3.60 (10) {G0,W11,D3,L3,V3,M3} I { ! member( X, Y ), ! member( X, Z ), member( X
% 3.15/3.60 , intersection( Y, Z ) ) }.
% 3.15/3.60 (29) {G0,W5,D3,L1,V0,M1} I { ! equal_set( intersection( skol4, skol4 ),
% 3.15/3.60 skol4 ) }.
% 3.15/3.60 (75) {G1,W11,D3,L3,V3,M3} R(5,1) { ! subset( X, Y ), equal_set( Y, X ), !
% 3.15/3.60 member( skol1( Z, X ), X ) }.
% 3.15/3.60 (77) {G1,W10,D3,L2,V0,M2} R(5,29) { ! subset( intersection( skol4, skol4 )
% 3.15/3.60 , skol4 ), ! subset( skol4, intersection( skol4, skol4 ) ) }.
% 3.15/3.60 (120) {G1,W12,D4,L2,V3,M2} R(8,2) { member( skol1( intersection( X, Y ), Z
% 3.15/3.60 ), X ), subset( intersection( X, Y ), Z ) }.
% 3.15/3.60 (178) {G1,W19,D4,L3,V4,M3} R(10,1) { ! member( skol1( X, intersection( Y, Z
% 3.15/3.60 ) ), Y ), ! member( skol1( X, intersection( Y, Z ) ), Z ), subset( T,
% 3.15/3.60 intersection( Y, Z ) ) }.
% 3.15/3.60 (193) {G2,W12,D4,L2,V3,M2} F(178) { ! member( skol1( X, intersection( Y, Y
% 3.15/3.60 ) ), Y ), subset( Z, intersection( Y, Y ) ) }.
% 3.15/3.60 (8890) {G2,W10,D3,L2,V1,M2} R(75,29) { ! subset( skol4, intersection( skol4
% 3.15/3.60 , skol4 ) ), ! member( skol1( X, skol4 ), skol4 ) }.
% 3.15/3.60 (16097) {G3,W5,D3,L1,V0,M1} R(120,77);r(8890) { ! subset( skol4,
% 3.15/3.60 intersection( skol4, skol4 ) ) }.
% 3.15/3.60 (35463) {G3,W10,D3,L2,V2,M2} R(193,2) { subset( X, intersection( Y, Y ) ),
% 3.15/3.60 subset( Y, intersection( Y, Y ) ) }.
% 3.15/3.60 (35470) {G4,W5,D3,L1,V1,M1} F(35463) { subset( X, intersection( X, X ) )
% 3.15/3.60 }.
% 3.15/3.60 (35478) {G5,W0,D0,L0,V0,M0} R(35470,16097) { }.
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 % SZS output end Refutation
% 3.15/3.60 found a proof!
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Unprocessed initial clauses:
% 3.15/3.60
% 3.15/3.60 (35480) {G0,W9,D2,L3,V3,M3} { ! subset( X, Y ), ! member( Z, X ), member(
% 3.15/3.60 Z, Y ) }.
% 3.15/3.60 (35481) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subset( X, Y )
% 3.15/3.60 }.
% 3.15/3.60 (35482) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subset( X, Y )
% 3.15/3.60 }.
% 3.15/3.60 (35483) {G0,W6,D2,L2,V2,M2} { ! equal_set( X, Y ), subset( X, Y ) }.
% 3.15/3.60 (35484) {G0,W6,D2,L2,V2,M2} { ! equal_set( X, Y ), subset( Y, X ) }.
% 3.15/3.60 (35485) {G0,W9,D2,L3,V2,M3} { ! subset( X, Y ), ! subset( Y, X ),
% 3.15/3.60 equal_set( X, Y ) }.
% 3.15/3.60 (35486) {G0,W7,D3,L2,V2,M2} { ! member( X, power_set( Y ) ), subset( X, Y
% 3.15/3.60 ) }.
% 3.15/3.60 (35487) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), member( X, power_set( Y )
% 3.15/3.60 ) }.
% 3.15/3.60 (35488) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) ), member
% 3.15/3.60 ( X, Y ) }.
% 3.15/3.60 (35489) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) ), member
% 3.15/3.60 ( X, Z ) }.
% 3.15/3.60 (35490) {G0,W11,D3,L3,V3,M3} { ! member( X, Y ), ! member( X, Z ), member
% 3.15/3.60 ( X, intersection( Y, Z ) ) }.
% 3.15/3.60 (35491) {G0,W11,D3,L3,V3,M3} { ! member( X, union( Y, Z ) ), member( X, Y
% 3.15/3.60 ), member( X, Z ) }.
% 3.15/3.60 (35492) {G0,W8,D3,L2,V3,M2} { ! member( X, Y ), member( X, union( Y, Z ) )
% 3.15/3.60 }.
% 3.15/3.60 (35493) {G0,W8,D3,L2,V3,M2} { ! member( X, Z ), member( X, union( Y, Z ) )
% 3.15/3.60 }.
% 3.15/3.60 (35494) {G0,W3,D2,L1,V1,M1} { ! member( X, empty_set ) }.
% 3.15/3.60 (35495) {G0,W8,D3,L2,V3,M2} { ! member( X, difference( Z, Y ) ), member( X
% 3.15/3.60 , Z ) }.
% 3.15/3.60 (35496) {G0,W8,D3,L2,V3,M2} { ! member( X, difference( Z, Y ) ), ! member
% 3.15/3.60 ( X, Y ) }.
% 3.15/3.60 (35497) {G0,W11,D3,L3,V3,M3} { ! member( X, Z ), member( X, Y ), member( X
% 3.15/3.60 , difference( Z, Y ) ) }.
% 3.15/3.60 (35498) {G0,W7,D3,L2,V2,M2} { ! member( X, singleton( Y ) ), X = Y }.
% 3.15/3.60 (35499) {G0,W7,D3,L2,V2,M2} { ! X = Y, member( X, singleton( Y ) ) }.
% 3.15/3.60 (35500) {G0,W11,D3,L3,V3,M3} { ! member( X, unordered_pair( Y, Z ) ), X =
% 3.15/3.60 Y, X = Z }.
% 3.15/3.60 (35501) {G0,W8,D3,L2,V3,M2} { ! X = Y, member( X, unordered_pair( Y, Z ) )
% 3.15/3.60 }.
% 3.15/3.60 (35502) {G0,W8,D3,L2,V3,M2} { ! X = Z, member( X, unordered_pair( Y, Z ) )
% 3.15/3.60 }.
% 3.15/3.60 (35503) {G0,W9,D3,L2,V3,M2} { ! member( X, sum( Y ) ), member( skol2( Z, Y
% 3.15/3.60 ), Y ) }.
% 3.15/3.60 (35504) {G0,W9,D3,L2,V2,M2} { ! member( X, sum( Y ) ), member( X, skol2( X
% 3.15/3.60 , Y ) ) }.
% 3.15/3.60 (35505) {G0,W10,D3,L3,V3,M3} { ! member( Z, Y ), ! member( X, Z ), member
% 3.15/3.60 ( X, sum( Y ) ) }.
% 3.15/3.60 (35506) {G0,W10,D3,L3,V3,M3} { ! member( X, product( Y ) ), ! member( Z, Y
% 3.15/3.60 ), member( X, Z ) }.
% 3.15/3.60 (35507) {G0,W9,D3,L2,V3,M2} { member( skol3( Z, Y ), Y ), member( X,
% 3.15/3.60 product( Y ) ) }.
% 3.15/3.60 (35508) {G0,W9,D3,L2,V2,M2} { ! member( X, skol3( X, Y ) ), member( X,
% 3.15/3.60 product( Y ) ) }.
% 3.15/3.60 (35509) {G0,W5,D3,L1,V0,M1} { ! equal_set( intersection( skol4, skol4 ),
% 3.15/3.60 skol4 ) }.
% 3.15/3.60
% 3.15/3.60
% 3.15/3.60 Total Proof:
% 3.15/3.60
% 3.15/3.60 subsumption: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 3.15/3.60 subset( X, Y ) }.
% 3.15/3.60 parent0: (35481) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ),
% 3.15/3.60 subset( X, Y ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 X := X
% 3.15/3.60 Y := Y
% 3.15/3.60 Z := Z
% 3.15/3.60 end
% 3.15/3.60 permutation0:
% 3.15/3.60 0 ==> 0
% 3.15/3.60 1 ==> 1
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 subsumption: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 3.15/3.60 ( X, Y ) }.
% 3.15/3.60 parent0: (35482) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subset
% 3.15/3.60 ( X, Y ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 X := X
% 3.15/3.60 Y := Y
% 3.15/3.60 end
% 3.15/3.60 permutation0:
% 3.15/3.60 0 ==> 0
% 3.15/3.60 1 ==> 1
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 subsumption: (5) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X )
% 3.15/3.60 , equal_set( X, Y ) }.
% 3.15/3.60 parent0: (35485) {G0,W9,D2,L3,V2,M3} { ! subset( X, Y ), ! subset( Y, X )
% 3.15/3.60 , equal_set( X, Y ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 X := X
% 3.15/3.60 Y := Y
% 3.15/3.60 end
% 3.15/3.60 permutation0:
% 3.15/3.60 0 ==> 0
% 3.15/3.60 1 ==> 1
% 3.15/3.60 2 ==> 2
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 subsumption: (8) {G0,W8,D3,L2,V3,M2} I { ! member( X, intersection( Y, Z )
% 3.15/3.60 ), member( X, Y ) }.
% 3.15/3.60 parent0: (35488) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) )
% 3.15/3.60 , member( X, Y ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 X := X
% 3.15/3.60 Y := Y
% 3.15/3.60 Z := Z
% 3.15/3.60 end
% 3.15/3.60 permutation0:
% 3.15/3.60 0 ==> 0
% 3.15/3.60 1 ==> 1
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 subsumption: (10) {G0,W11,D3,L3,V3,M3} I { ! member( X, Y ), ! member( X, Z
% 3.15/3.60 ), member( X, intersection( Y, Z ) ) }.
% 3.15/3.60 parent0: (35490) {G0,W11,D3,L3,V3,M3} { ! member( X, Y ), ! member( X, Z )
% 3.15/3.60 , member( X, intersection( Y, Z ) ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 X := X
% 3.15/3.60 Y := Y
% 3.15/3.60 Z := Z
% 3.15/3.60 end
% 3.15/3.60 permutation0:
% 3.15/3.60 0 ==> 0
% 3.15/3.60 1 ==> 1
% 3.15/3.60 2 ==> 2
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 subsumption: (29) {G0,W5,D3,L1,V0,M1} I { ! equal_set( intersection( skol4
% 3.15/3.60 , skol4 ), skol4 ) }.
% 3.15/3.60 parent0: (35509) {G0,W5,D3,L1,V0,M1} { ! equal_set( intersection( skol4,
% 3.15/3.60 skol4 ), skol4 ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 end
% 3.15/3.60 permutation0:
% 3.15/3.60 0 ==> 0
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 resolution: (35527) {G1,W11,D3,L3,V3,M3} { ! subset( Y, X ), equal_set( X
% 3.15/3.60 , Y ), ! member( skol1( Z, Y ), Y ) }.
% 3.15/3.60 parent0[0]: (5) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X )
% 3.15/3.60 , equal_set( X, Y ) }.
% 3.15/3.60 parent1[1]: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 3.15/3.60 subset( X, Y ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 X := X
% 3.15/3.60 Y := Y
% 3.15/3.60 end
% 3.15/3.60 substitution1:
% 3.15/3.60 X := X
% 3.15/3.60 Y := Y
% 3.15/3.60 Z := Z
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 subsumption: (75) {G1,W11,D3,L3,V3,M3} R(5,1) { ! subset( X, Y ), equal_set
% 3.15/3.60 ( Y, X ), ! member( skol1( Z, X ), X ) }.
% 3.15/3.60 parent0: (35527) {G1,W11,D3,L3,V3,M3} { ! subset( Y, X ), equal_set( X, Y
% 3.15/3.60 ), ! member( skol1( Z, Y ), Y ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 X := Y
% 3.15/3.60 Y := X
% 3.15/3.60 Z := Z
% 3.15/3.60 end
% 3.15/3.60 permutation0:
% 3.15/3.60 0 ==> 0
% 3.15/3.60 1 ==> 1
% 3.15/3.60 2 ==> 2
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 resolution: (35529) {G1,W10,D3,L2,V0,M2} { ! subset( intersection( skol4,
% 3.15/3.60 skol4 ), skol4 ), ! subset( skol4, intersection( skol4, skol4 ) ) }.
% 3.15/3.60 parent0[0]: (29) {G0,W5,D3,L1,V0,M1} I { ! equal_set( intersection( skol4,
% 3.15/3.60 skol4 ), skol4 ) }.
% 3.15/3.60 parent1[2]: (5) {G0,W9,D2,L3,V2,M3} I { ! subset( X, Y ), ! subset( Y, X )
% 3.15/3.60 , equal_set( X, Y ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 end
% 3.15/3.60 substitution1:
% 3.15/3.60 X := intersection( skol4, skol4 )
% 3.15/3.60 Y := skol4
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 subsumption: (77) {G1,W10,D3,L2,V0,M2} R(5,29) { ! subset( intersection(
% 3.15/3.60 skol4, skol4 ), skol4 ), ! subset( skol4, intersection( skol4, skol4 ) )
% 3.15/3.60 }.
% 3.15/3.60 parent0: (35529) {G1,W10,D3,L2,V0,M2} { ! subset( intersection( skol4,
% 3.15/3.60 skol4 ), skol4 ), ! subset( skol4, intersection( skol4, skol4 ) ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 end
% 3.15/3.60 permutation0:
% 3.15/3.60 0 ==> 0
% 3.15/3.60 1 ==> 1
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 resolution: (35530) {G1,W12,D4,L2,V3,M2} { member( skol1( intersection( X
% 3.15/3.60 , Y ), Z ), X ), subset( intersection( X, Y ), Z ) }.
% 3.15/3.60 parent0[0]: (8) {G0,W8,D3,L2,V3,M2} I { ! member( X, intersection( Y, Z ) )
% 3.15/3.60 , member( X, Y ) }.
% 3.15/3.60 parent1[0]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 3.15/3.60 ( X, Y ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 X := skol1( intersection( X, Y ), Z )
% 3.15/3.60 Y := X
% 3.15/3.60 Z := Y
% 3.15/3.60 end
% 3.15/3.60 substitution1:
% 3.15/3.60 X := intersection( X, Y )
% 3.15/3.60 Y := Z
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 subsumption: (120) {G1,W12,D4,L2,V3,M2} R(8,2) { member( skol1(
% 3.15/3.60 intersection( X, Y ), Z ), X ), subset( intersection( X, Y ), Z ) }.
% 3.15/3.60 parent0: (35530) {G1,W12,D4,L2,V3,M2} { member( skol1( intersection( X, Y
% 3.15/3.60 ), Z ), X ), subset( intersection( X, Y ), Z ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 X := X
% 3.15/3.60 Y := Y
% 3.15/3.60 Z := Z
% 3.15/3.60 end
% 3.15/3.60 permutation0:
% 3.15/3.60 0 ==> 0
% 3.15/3.60 1 ==> 1
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 resolution: (35531) {G1,W19,D4,L3,V4,M3} { subset( T, intersection( Y, Z )
% 3.15/3.60 ), ! member( skol1( X, intersection( Y, Z ) ), Y ), ! member( skol1( X,
% 3.15/3.60 intersection( Y, Z ) ), Z ) }.
% 3.15/3.60 parent0[0]: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 3.15/3.60 subset( X, Y ) }.
% 3.15/3.60 parent1[2]: (10) {G0,W11,D3,L3,V3,M3} I { ! member( X, Y ), ! member( X, Z
% 3.15/3.60 ), member( X, intersection( Y, Z ) ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 X := T
% 3.15/3.60 Y := intersection( Y, Z )
% 3.15/3.60 Z := X
% 3.15/3.60 end
% 3.15/3.60 substitution1:
% 3.15/3.60 X := skol1( X, intersection( Y, Z ) )
% 3.15/3.60 Y := Y
% 3.15/3.60 Z := Z
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 subsumption: (178) {G1,W19,D4,L3,V4,M3} R(10,1) { ! member( skol1( X,
% 3.15/3.60 intersection( Y, Z ) ), Y ), ! member( skol1( X, intersection( Y, Z ) ),
% 3.15/3.60 Z ), subset( T, intersection( Y, Z ) ) }.
% 3.15/3.60 parent0: (35531) {G1,W19,D4,L3,V4,M3} { subset( T, intersection( Y, Z ) )
% 3.15/3.60 , ! member( skol1( X, intersection( Y, Z ) ), Y ), ! member( skol1( X,
% 3.15/3.60 intersection( Y, Z ) ), Z ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 X := X
% 3.15/3.60 Y := Y
% 3.15/3.60 Z := Z
% 3.15/3.60 T := T
% 3.15/3.60 end
% 3.15/3.60 permutation0:
% 3.15/3.60 0 ==> 2
% 3.15/3.60 1 ==> 0
% 3.15/3.60 2 ==> 1
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 factor: (35533) {G1,W12,D4,L2,V3,M2} { ! member( skol1( X, intersection( Y
% 3.15/3.60 , Y ) ), Y ), subset( Z, intersection( Y, Y ) ) }.
% 3.15/3.60 parent0[0, 1]: (178) {G1,W19,D4,L3,V4,M3} R(10,1) { ! member( skol1( X,
% 3.15/3.60 intersection( Y, Z ) ), Y ), ! member( skol1( X, intersection( Y, Z ) ),
% 3.15/3.60 Z ), subset( T, intersection( Y, Z ) ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 X := X
% 3.15/3.60 Y := Y
% 3.15/3.60 Z := Y
% 3.15/3.60 T := Z
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 subsumption: (193) {G2,W12,D4,L2,V3,M2} F(178) { ! member( skol1( X,
% 3.15/3.60 intersection( Y, Y ) ), Y ), subset( Z, intersection( Y, Y ) ) }.
% 3.15/3.60 parent0: (35533) {G1,W12,D4,L2,V3,M2} { ! member( skol1( X, intersection(
% 3.15/3.60 Y, Y ) ), Y ), subset( Z, intersection( Y, Y ) ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 X := X
% 3.15/3.60 Y := Y
% 3.15/3.60 Z := Z
% 3.15/3.60 end
% 3.15/3.60 permutation0:
% 3.15/3.60 0 ==> 0
% 3.15/3.60 1 ==> 1
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 resolution: (35534) {G1,W10,D3,L2,V1,M2} { ! subset( skol4, intersection(
% 3.15/3.60 skol4, skol4 ) ), ! member( skol1( X, skol4 ), skol4 ) }.
% 3.15/3.60 parent0[0]: (29) {G0,W5,D3,L1,V0,M1} I { ! equal_set( intersection( skol4,
% 3.15/3.60 skol4 ), skol4 ) }.
% 3.15/3.60 parent1[1]: (75) {G1,W11,D3,L3,V3,M3} R(5,1) { ! subset( X, Y ), equal_set
% 3.15/3.60 ( Y, X ), ! member( skol1( Z, X ), X ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 end
% 3.15/3.60 substitution1:
% 3.15/3.60 X := skol4
% 3.15/3.60 Y := intersection( skol4, skol4 )
% 3.15/3.60 Z := X
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 subsumption: (8890) {G2,W10,D3,L2,V1,M2} R(75,29) { ! subset( skol4,
% 3.15/3.60 intersection( skol4, skol4 ) ), ! member( skol1( X, skol4 ), skol4 ) }.
% 3.15/3.60 parent0: (35534) {G1,W10,D3,L2,V1,M2} { ! subset( skol4, intersection(
% 3.15/3.60 skol4, skol4 ) ), ! member( skol1( X, skol4 ), skol4 ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 X := X
% 3.15/3.60 end
% 3.15/3.60 permutation0:
% 3.15/3.60 0 ==> 0
% 3.15/3.60 1 ==> 1
% 3.15/3.60 end
% 3.15/3.60
% 3.15/3.60 resolution: (35535) {G2,W12,D4,L2,V0,M2} { ! subset( skol4, intersection(
% 3.15/3.60 skol4, skol4 ) ), member( skol1( intersection( skol4, skol4 ), skol4 ),
% 3.15/3.60 skol4 ) }.
% 3.15/3.60 parent0[0]: (77) {G1,W10,D3,L2,V0,M2} R(5,29) { ! subset( intersection(
% 3.15/3.60 skol4, skol4 ), skol4 ), ! subset( skol4, intersection( skol4, skol4 ) )
% 3.15/3.60 }.
% 3.15/3.60 parent1[1]: (120) {G1,W12,D4,L2,V3,M2} R(8,2) { member( skol1( intersection
% 3.15/3.60 ( X, Y ), Z ), X ), subset( intersection( X, Y ), Z ) }.
% 3.15/3.60 substitution0:
% 3.15/3.60 end
% 3.15/3.60 substitution1:
% 3.15/3.61 X := skol4
% 3.15/3.61 Y := skol4
% 3.15/3.61 Z := skol4
% 3.15/3.61 end
% 3.15/3.61
% 3.15/3.61 resolution: (35536) {G3,W10,D3,L2,V0,M2} { ! subset( skol4, intersection(
% 3.15/3.61 skol4, skol4 ) ), ! subset( skol4, intersection( skol4, skol4 ) ) }.
% 3.15/3.61 parent0[1]: (8890) {G2,W10,D3,L2,V1,M2} R(75,29) { ! subset( skol4,
% 3.15/3.61 intersection( skol4, skol4 ) ), ! member( skol1( X, skol4 ), skol4 ) }.
% 3.15/3.61 parent1[1]: (35535) {G2,W12,D4,L2,V0,M2} { ! subset( skol4, intersection(
% 3.15/3.61 skol4, skol4 ) ), member( skol1( intersection( skol4, skol4 ), skol4 ),
% 3.15/3.61 skol4 ) }.
% 3.15/3.61 substitution0:
% 3.15/3.61 X := intersection( skol4, skol4 )
% 3.15/3.61 end
% 3.15/3.61 substitution1:
% 3.15/3.61 end
% 3.15/3.61
% 3.15/3.61 factor: (35537) {G3,W5,D3,L1,V0,M1} { ! subset( skol4, intersection( skol4
% 3.15/3.61 , skol4 ) ) }.
% 3.15/3.61 parent0[0, 1]: (35536) {G3,W10,D3,L2,V0,M2} { ! subset( skol4,
% 3.15/3.61 intersection( skol4, skol4 ) ), ! subset( skol4, intersection( skol4,
% 3.15/3.61 skol4 ) ) }.
% 3.15/3.61 substitution0:
% 3.15/3.61 end
% 3.15/3.61
% 3.15/3.61 subsumption: (16097) {G3,W5,D3,L1,V0,M1} R(120,77);r(8890) { ! subset(
% 3.15/3.61 skol4, intersection( skol4, skol4 ) ) }.
% 3.15/3.61 parent0: (35537) {G3,W5,D3,L1,V0,M1} { ! subset( skol4, intersection(
% 3.15/3.61 skol4, skol4 ) ) }.
% 3.15/3.61 substitution0:
% 3.15/3.61 end
% 3.15/3.61 permutation0:
% 3.15/3.61 0 ==> 0
% 3.15/3.61 end
% 3.15/3.61
% 3.15/3.61 resolution: (35538) {G1,W10,D3,L2,V2,M2} { subset( Y, intersection( X, X )
% 3.15/3.61 ), subset( X, intersection( X, X ) ) }.
% 3.15/3.61 parent0[0]: (193) {G2,W12,D4,L2,V3,M2} F(178) { ! member( skol1( X,
% 3.15/3.61 intersection( Y, Y ) ), Y ), subset( Z, intersection( Y, Y ) ) }.
% 3.15/3.61 parent1[0]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 3.15/3.61 ( X, Y ) }.
% 3.15/3.61 substitution0:
% 3.15/3.61 X := X
% 3.15/3.61 Y := X
% 3.15/3.61 Z := Y
% 3.15/3.61 end
% 3.15/3.61 substitution1:
% 3.15/3.61 X := X
% 3.15/3.61 Y := intersection( X, X )
% 3.15/3.61 end
% 3.15/3.61
% 3.15/3.61 subsumption: (35463) {G3,W10,D3,L2,V2,M2} R(193,2) { subset( X,
% 3.15/3.61 intersection( Y, Y ) ), subset( Y, intersection( Y, Y ) ) }.
% 3.15/3.61 parent0: (35538) {G1,W10,D3,L2,V2,M2} { subset( Y, intersection( X, X ) )
% 3.15/3.61 , subset( X, intersection( X, X ) ) }.
% 3.15/3.61 substitution0:
% 3.15/3.61 X := Y
% 3.15/3.61 Y := X
% 3.15/3.61 end
% 3.15/3.61 permutation0:
% 3.15/3.61 0 ==> 0
% 3.15/3.61 1 ==> 1
% 3.15/3.61 end
% 3.15/3.61
% 3.15/3.61 factor: (35540) {G3,W5,D3,L1,V1,M1} { subset( X, intersection( X, X ) )
% 3.15/3.61 }.
% 3.15/3.61 parent0[0, 1]: (35463) {G3,W10,D3,L2,V2,M2} R(193,2) { subset( X,
% 3.15/3.61 intersection( Y, Y ) ), subset( Y, intersection( Y, Y ) ) }.
% 3.15/3.61 substitution0:
% 3.15/3.61 X := X
% 3.15/3.61 Y := X
% 3.15/3.61 end
% 3.15/3.61
% 3.15/3.61 subsumption: (35470) {G4,W5,D3,L1,V1,M1} F(35463) { subset( X, intersection
% 3.15/3.61 ( X, X ) ) }.
% 3.15/3.61 parent0: (35540) {G3,W5,D3,L1,V1,M1} { subset( X, intersection( X, X ) )
% 3.15/3.61 }.
% 3.15/3.61 substitution0:
% 3.15/3.61 X := X
% 3.15/3.61 end
% 3.15/3.61 permutation0:
% 3.15/3.61 0 ==> 0
% 3.15/3.61 end
% 3.15/3.61
% 3.15/3.61 resolution: (35541) {G4,W0,D0,L0,V0,M0} { }.
% 3.15/3.61 parent0[0]: (16097) {G3,W5,D3,L1,V0,M1} R(120,77);r(8890) { ! subset( skol4
% 3.15/3.61 , intersection( skol4, skol4 ) ) }.
% 3.15/3.61 parent1[0]: (35470) {G4,W5,D3,L1,V1,M1} F(35463) { subset( X, intersection
% 3.15/3.61 ( X, X ) ) }.
% 3.15/3.61 substitution0:
% 3.15/3.61 end
% 3.15/3.61 substitution1:
% 3.15/3.61 X := skol4
% 3.15/3.61 end
% 3.15/3.61
% 3.15/3.61 subsumption: (35478) {G5,W0,D0,L0,V0,M0} R(35470,16097) { }.
% 3.15/3.61 parent0: (35541) {G4,W0,D0,L0,V0,M0} { }.
% 3.15/3.61 substitution0:
% 3.15/3.61 end
% 3.15/3.61 permutation0:
% 3.15/3.61 end
% 3.15/3.61
% 3.15/3.61 Proof check complete!
% 3.15/3.61
% 3.15/3.61 Memory use:
% 3.15/3.61
% 3.15/3.61 space for terms: 489036
% 3.15/3.61 space for clauses: 1506268
% 3.15/3.61
% 3.15/3.61
% 3.15/3.61 clauses generated: 70608
% 3.15/3.61 clauses kept: 35479
% 3.15/3.61 clauses selected: 743
% 3.15/3.61 clauses deleted: 356
% 3.15/3.61 clauses inuse deleted: 10
% 3.15/3.61
% 3.15/3.61 subsentry: 344366
% 3.15/3.61 literals s-matched: 209447
% 3.15/3.61 literals matched: 196231
% 3.15/3.61 full subsumption: 68895
% 3.15/3.61
% 3.15/3.61 checksum: 2035631461
% 3.15/3.61
% 3.15/3.61
% 3.15/3.61 Bliksem ended
%------------------------------------------------------------------------------