TSTP Solution File: SET014+4 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET014+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 22:45:20 EDT 2022
% Result : Theorem 70.04s 70.48s
% Output : Refutation 70.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET014+4 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Mon Jul 11 10:20:48 EDT 2022
% 0.14/0.36 % CPUTime :
% 3.60/3.99 *** allocated 10000 integers for termspace/termends
% 3.60/3.99 *** allocated 10000 integers for clauses
% 3.60/3.99 *** allocated 10000 integers for justifications
% 3.60/3.99 Bliksem 1.12
% 3.60/3.99
% 3.60/3.99
% 3.60/3.99 Automatic Strategy Selection
% 3.60/3.99
% 3.60/3.99
% 3.60/3.99 Clauses:
% 3.60/3.99
% 3.60/3.99 { ! subset( X, Y ), ! member( Z, X ), member( Z, Y ) }.
% 3.60/3.99 { ! member( skol1( Z, Y ), Y ), subset( X, Y ) }.
% 3.60/3.99 { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 3.60/3.99 { ! equal_set( X, Y ), subset( X, Y ) }.
% 3.60/3.99 { ! equal_set( X, Y ), subset( Y, X ) }.
% 3.60/3.99 { ! subset( X, Y ), ! subset( Y, X ), equal_set( X, Y ) }.
% 3.60/3.99 { ! member( X, power_set( Y ) ), subset( X, Y ) }.
% 3.60/3.99 { ! subset( X, Y ), member( X, power_set( Y ) ) }.
% 3.60/3.99 { ! member( X, intersection( Y, Z ) ), member( X, Y ) }.
% 3.60/3.99 { ! member( X, intersection( Y, Z ) ), member( X, Z ) }.
% 3.60/3.99 { ! member( X, Y ), ! member( X, Z ), member( X, intersection( Y, Z ) ) }.
% 3.60/3.99 { ! member( X, union( Y, Z ) ), member( X, Y ), member( X, Z ) }.
% 3.60/3.99 { ! member( X, Y ), member( X, union( Y, Z ) ) }.
% 3.60/3.99 { ! member( X, Z ), member( X, union( Y, Z ) ) }.
% 3.60/3.99 { ! member( X, empty_set ) }.
% 3.60/3.99 { ! member( X, difference( Z, Y ) ), member( X, Z ) }.
% 3.60/3.99 { ! member( X, difference( Z, Y ) ), ! member( X, Y ) }.
% 3.60/3.99 { ! member( X, Z ), member( X, Y ), member( X, difference( Z, Y ) ) }.
% 3.60/3.99 { ! member( X, singleton( Y ) ), X = Y }.
% 3.60/3.99 { ! X = Y, member( X, singleton( Y ) ) }.
% 3.60/3.99 { ! member( X, unordered_pair( Y, Z ) ), X = Y, X = Z }.
% 3.60/3.99 { ! X = Y, member( X, unordered_pair( Y, Z ) ) }.
% 3.60/3.99 { ! X = Z, member( X, unordered_pair( Y, Z ) ) }.
% 3.60/3.99 { ! member( X, sum( Y ) ), member( skol2( Z, Y ), Y ) }.
% 3.60/3.99 { ! member( X, sum( Y ) ), member( X, skol2( X, Y ) ) }.
% 3.60/3.99 { ! member( Z, Y ), ! member( X, Z ), member( X, sum( Y ) ) }.
% 3.60/3.99 { ! member( X, product( Y ) ), ! member( Z, Y ), member( X, Z ) }.
% 3.60/3.99 { member( skol3( Z, Y ), Y ), member( X, product( Y ) ) }.
% 3.60/3.99 { ! member( X, skol3( X, Y ) ), member( X, product( Y ) ) }.
% 3.60/3.99 { alpha1( skol4, skol5, skol6 ), subset( union( skol5, skol6 ), skol4 ) }.
% 3.60/3.99 { alpha1( skol4, skol5, skol6 ), ! subset( skol5, skol4 ), ! subset( skol6
% 3.60/3.99 , skol4 ) }.
% 3.60/3.99 { ! alpha1( X, Y, Z ), subset( Y, X ) }.
% 3.60/3.99 { ! alpha1( X, Y, Z ), subset( Z, X ) }.
% 3.60/3.99 { ! alpha1( X, Y, Z ), ! subset( union( Y, Z ), X ) }.
% 3.60/3.99 { ! subset( Y, X ), ! subset( Z, X ), subset( union( Y, Z ), X ), alpha1( X
% 3.60/3.99 , Y, Z ) }.
% 3.60/3.99
% 3.60/3.99 percentage equality = 0.075000, percentage horn = 0.800000
% 3.60/3.99 This is a problem with some equality
% 3.60/3.99
% 3.60/3.99
% 3.60/3.99
% 3.60/3.99 Options Used:
% 3.60/3.99
% 3.60/3.99 useres = 1
% 3.60/3.99 useparamod = 1
% 3.60/3.99 useeqrefl = 1
% 3.60/3.99 useeqfact = 1
% 3.60/3.99 usefactor = 1
% 3.60/3.99 usesimpsplitting = 0
% 3.60/3.99 usesimpdemod = 5
% 3.60/3.99 usesimpres = 3
% 3.60/3.99
% 3.60/3.99 resimpinuse = 1000
% 3.60/3.99 resimpclauses = 20000
% 3.60/3.99 substype = eqrewr
% 3.60/3.99 backwardsubs = 1
% 3.60/3.99 selectoldest = 5
% 3.60/3.99
% 3.60/3.99 litorderings [0] = split
% 3.60/3.99 litorderings [1] = extend the termordering, first sorting on arguments
% 3.60/3.99
% 3.60/3.99 termordering = kbo
% 3.60/3.99
% 3.60/3.99 litapriori = 0
% 3.60/3.99 termapriori = 1
% 3.60/3.99 litaposteriori = 0
% 3.60/3.99 termaposteriori = 0
% 3.60/3.99 demodaposteriori = 0
% 3.60/3.99 ordereqreflfact = 0
% 3.60/3.99
% 3.60/3.99 litselect = negord
% 3.60/3.99
% 3.60/3.99 maxweight = 15
% 3.60/3.99 maxdepth = 30000
% 3.60/3.99 maxlength = 115
% 3.60/3.99 maxnrvars = 195
% 3.60/3.99 excuselevel = 1
% 3.60/3.99 increasemaxweight = 1
% 3.60/3.99
% 3.60/3.99 maxselected = 10000000
% 3.60/3.99 maxnrclauses = 10000000
% 3.60/3.99
% 3.60/3.99 showgenerated = 0
% 3.60/3.99 showkept = 0
% 3.60/3.99 showselected = 0
% 3.60/3.99 showdeleted = 0
% 3.60/3.99 showresimp = 1
% 3.60/3.99 showstatus = 2000
% 3.60/3.99
% 3.60/3.99 prologoutput = 0
% 3.60/3.99 nrgoals = 5000000
% 3.60/3.99 totalproof = 1
% 3.60/3.99
% 3.60/3.99 Symbols occurring in the translation:
% 3.60/3.99
% 3.60/3.99 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.60/3.99 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 3.60/3.99 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 3.60/3.99 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.60/3.99 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.60/3.99 subset [37, 2] (w:1, o:48, a:1, s:1, b:0),
% 3.60/3.99 member [39, 2] (w:1, o:49, a:1, s:1, b:0),
% 3.60/3.99 equal_set [40, 2] (w:1, o:51, a:1, s:1, b:0),
% 3.60/3.99 power_set [41, 1] (w:1, o:20, a:1, s:1, b:0),
% 3.60/3.99 intersection [42, 2] (w:1, o:52, a:1, s:1, b:0),
% 3.60/3.99 union [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 3.60/3.99 empty_set [44, 0] (w:1, o:9, a:1, s:1, b:0),
% 3.60/3.99 difference [46, 2] (w:1, o:50, a:1, s:1, b:0),
% 3.60/3.99 singleton [47, 1] (w:1, o:21, a:1, s:1, b:0),
% 3.60/3.99 unordered_pair [48, 2] (w:1, o:54, a:1, s:1, b:0),
% 3.60/3.99 sum [49, 1] (w:1, o:22, a:1, s:1, b:0),
% 25.42/25.82 product [51, 1] (w:1, o:23, a:1, s:1, b:0),
% 25.42/25.82 alpha1 [52, 3] (w:1, o:58, a:1, s:1, b:1),
% 25.42/25.82 skol1 [53, 2] (w:1, o:55, a:1, s:1, b:1),
% 25.42/25.82 skol2 [54, 2] (w:1, o:56, a:1, s:1, b:1),
% 25.42/25.82 skol3 [55, 2] (w:1, o:57, a:1, s:1, b:1),
% 25.42/25.82 skol4 [56, 0] (w:1, o:12, a:1, s:1, b:1),
% 25.42/25.82 skol5 [57, 0] (w:1, o:13, a:1, s:1, b:1),
% 25.42/25.82 skol6 [58, 0] (w:1, o:14, a:1, s:1, b:1).
% 25.42/25.82
% 25.42/25.82
% 25.42/25.82 Starting Search:
% 25.42/25.82
% 25.42/25.82 *** allocated 15000 integers for clauses
% 25.42/25.82 *** allocated 22500 integers for clauses
% 25.42/25.82 *** allocated 33750 integers for clauses
% 25.42/25.82 *** allocated 50625 integers for clauses
% 25.42/25.82 *** allocated 15000 integers for termspace/termends
% 25.42/25.82 *** allocated 75937 integers for clauses
% 25.42/25.82 *** allocated 22500 integers for termspace/termends
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 *** allocated 113905 integers for clauses
% 25.42/25.82 *** allocated 33750 integers for termspace/termends
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 3014
% 25.42/25.82 Kept: 2118
% 25.42/25.82 Inuse: 113
% 25.42/25.82 Deleted: 4
% 25.42/25.82 Deletedinuse: 1
% 25.42/25.82
% 25.42/25.82 *** allocated 170857 integers for clauses
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 *** allocated 50625 integers for termspace/termends
% 25.42/25.82 *** allocated 256285 integers for clauses
% 25.42/25.82 *** allocated 75937 integers for termspace/termends
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 6756
% 25.42/25.82 Kept: 4549
% 25.42/25.82 Inuse: 173
% 25.42/25.82 Deleted: 4
% 25.42/25.82 Deletedinuse: 1
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 *** allocated 113905 integers for termspace/termends
% 25.42/25.82 *** allocated 384427 integers for clauses
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 10700
% 25.42/25.82 Kept: 6558
% 25.42/25.82 Inuse: 213
% 25.42/25.82 Deleted: 4
% 25.42/25.82 Deletedinuse: 1
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 *** allocated 170857 integers for termspace/termends
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 14962
% 25.42/25.82 Kept: 8589
% 25.42/25.82 Inuse: 255
% 25.42/25.82 Deleted: 10
% 25.42/25.82 Deletedinuse: 6
% 25.42/25.82
% 25.42/25.82 *** allocated 576640 integers for clauses
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 19291
% 25.42/25.82 Kept: 10615
% 25.42/25.82 Inuse: 301
% 25.42/25.82 Deleted: 10
% 25.42/25.82 Deletedinuse: 6
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 *** allocated 256285 integers for termspace/termends
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 23641
% 25.42/25.82 Kept: 12615
% 25.42/25.82 Inuse: 345
% 25.42/25.82 Deleted: 10
% 25.42/25.82 Deletedinuse: 6
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 *** allocated 864960 integers for clauses
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 28366
% 25.42/25.82 Kept: 14654
% 25.42/25.82 Inuse: 395
% 25.42/25.82 Deleted: 14
% 25.42/25.82 Deletedinuse: 6
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 32437
% 25.42/25.82 Kept: 16685
% 25.42/25.82 Inuse: 437
% 25.42/25.82 Deleted: 22
% 25.42/25.82 Deletedinuse: 12
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 36407
% 25.42/25.82 Kept: 18730
% 25.42/25.82 Inuse: 483
% 25.42/25.82 Deleted: 24
% 25.42/25.82 Deletedinuse: 12
% 25.42/25.82
% 25.42/25.82 *** allocated 384427 integers for termspace/termends
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 Resimplifying clauses:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 40724
% 25.42/25.82 Kept: 20742
% 25.42/25.82 Inuse: 522
% 25.42/25.82 Deleted: 655
% 25.42/25.82 Deletedinuse: 18
% 25.42/25.82
% 25.42/25.82 *** allocated 1297440 integers for clauses
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 44682
% 25.42/25.82 Kept: 22771
% 25.42/25.82 Inuse: 582
% 25.42/25.82 Deleted: 655
% 25.42/25.82 Deletedinuse: 18
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 49680
% 25.42/25.82 Kept: 24803
% 25.42/25.82 Inuse: 633
% 25.42/25.82 Deleted: 655
% 25.42/25.82 Deletedinuse: 18
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 54835
% 25.42/25.82 Kept: 26804
% 25.42/25.82 Inuse: 668
% 25.42/25.82 Deleted: 661
% 25.42/25.82 Deletedinuse: 20
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 *** allocated 576640 integers for termspace/termends
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 59515
% 25.42/25.82 Kept: 28840
% 25.42/25.82 Inuse: 696
% 25.42/25.82 Deleted: 668
% 25.42/25.82 Deletedinuse: 20
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 65187
% 25.42/25.82 Kept: 30857
% 25.42/25.82 Inuse: 730
% 25.42/25.82 Deleted: 668
% 25.42/25.82 Deletedinuse: 20
% 25.42/25.82
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82 *** allocated 1946160 integers for clauses
% 25.42/25.82 Resimplifying inuse:
% 25.42/25.82 Done
% 25.42/25.82
% 25.42/25.82
% 25.42/25.82 Intermediate Status:
% 25.42/25.82 Generated: 69441
% 25.42/25.82 Kept: 32879
% 70.04/70.47 Inuse: 762
% 70.04/70.47 Deleted: 671
% 70.04/70.47 Deletedinuse: 23
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47
% 70.04/70.47 Intermediate Status:
% 70.04/70.47 Generated: 74329
% 70.04/70.47 Kept: 34887
% 70.04/70.47 Inuse: 799
% 70.04/70.47 Deleted: 683
% 70.04/70.47 Deletedinuse: 29
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47
% 70.04/70.47 Intermediate Status:
% 70.04/70.47 Generated: 81333
% 70.04/70.47 Kept: 36894
% 70.04/70.47 Inuse: 838
% 70.04/70.47 Deleted: 683
% 70.04/70.47 Deletedinuse: 29
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47
% 70.04/70.47 Intermediate Status:
% 70.04/70.47 Generated: 87074
% 70.04/70.47 Kept: 38898
% 70.04/70.47 Inuse: 857
% 70.04/70.47 Deleted: 683
% 70.04/70.47 Deletedinuse: 29
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47 Resimplifying clauses:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47
% 70.04/70.47 Intermediate Status:
% 70.04/70.47 Generated: 93613
% 70.04/70.47 Kept: 40965
% 70.04/70.47 Inuse: 893
% 70.04/70.47 Deleted: 1340
% 70.04/70.47 Deletedinuse: 29
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47 *** allocated 864960 integers for termspace/termends
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47
% 70.04/70.47 Intermediate Status:
% 70.04/70.47 Generated: 97697
% 70.04/70.47 Kept: 43020
% 70.04/70.47 Inuse: 915
% 70.04/70.47 Deleted: 1350
% 70.04/70.47 Deletedinuse: 36
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47
% 70.04/70.47 Intermediate Status:
% 70.04/70.47 Generated: 102137
% 70.04/70.47 Kept: 45099
% 70.04/70.47 Inuse: 939
% 70.04/70.47 Deleted: 1350
% 70.04/70.47 Deletedinuse: 36
% 70.04/70.47
% 70.04/70.47 *** allocated 2919240 integers for clauses
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47
% 70.04/70.47 Intermediate Status:
% 70.04/70.47 Generated: 106707
% 70.04/70.47 Kept: 47266
% 70.04/70.47 Inuse: 964
% 70.04/70.47 Deleted: 1350
% 70.04/70.47 Deletedinuse: 36
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47
% 70.04/70.47 Intermediate Status:
% 70.04/70.47 Generated: 111758
% 70.04/70.47 Kept: 49289
% 70.04/70.47 Inuse: 991
% 70.04/70.47 Deleted: 1356
% 70.04/70.47 Deletedinuse: 40
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47
% 70.04/70.47 Intermediate Status:
% 70.04/70.47 Generated: 116633
% 70.04/70.47 Kept: 51343
% 70.04/70.47 Inuse: 1011
% 70.04/70.47 Deleted: 1356
% 70.04/70.47 Deletedinuse: 40
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47
% 70.04/70.47 Intermediate Status:
% 70.04/70.47 Generated: 121400
% 70.04/70.47 Kept: 53492
% 70.04/70.47 Inuse: 1032
% 70.04/70.47 Deleted: 1356
% 70.04/70.47 Deletedinuse: 40
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47 Resimplifying inuse:
% 70.04/70.47 Done
% 70.04/70.47
% 70.04/70.47
% 70.04/70.47 Intermediate Status:
% 70.04/70.47 Generated: 126053
% 70.04/70.47 Kept: 55694
% 70.04/70.47 Inuse: 1061
% 70.04/70.47 Deleted: 1358
% 70.04/70.48 Deletedinuse: 41
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 132486
% 70.04/70.48 Kept: 57734
% 70.04/70.48 Inuse: 1102
% 70.04/70.48 Deleted: 1363
% 70.04/70.48 Deletedinuse: 41
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 137983
% 70.04/70.48 Kept: 59797
% 70.04/70.48 Inuse: 1119
% 70.04/70.48 Deleted: 1364
% 70.04/70.48 Deletedinuse: 41
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying clauses:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 143138
% 70.04/70.48 Kept: 61883
% 70.04/70.48 Inuse: 1134
% 70.04/70.48 Deleted: 2005
% 70.04/70.48 Deletedinuse: 42
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 *** allocated 1297440 integers for termspace/termends
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 149919
% 70.04/70.48 Kept: 63893
% 70.04/70.48 Inuse: 1162
% 70.04/70.48 Deleted: 2005
% 70.04/70.48 Deletedinuse: 42
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 155209
% 70.04/70.48 Kept: 65924
% 70.04/70.48 Inuse: 1193
% 70.04/70.48 Deleted: 2005
% 70.04/70.48 Deletedinuse: 42
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 *** allocated 4378860 integers for clauses
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 160169
% 70.04/70.48 Kept: 67932
% 70.04/70.48 Inuse: 1211
% 70.04/70.48 Deleted: 2005
% 70.04/70.48 Deletedinuse: 42
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 167329
% 70.04/70.48 Kept: 69987
% 70.04/70.48 Inuse: 1240
% 70.04/70.48 Deleted: 2005
% 70.04/70.48 Deletedinuse: 42
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 174861
% 70.04/70.48 Kept: 72318
% 70.04/70.48 Inuse: 1275
% 70.04/70.48 Deleted: 2005
% 70.04/70.48 Deletedinuse: 42
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 180178
% 70.04/70.48 Kept: 74545
% 70.04/70.48 Inuse: 1300
% 70.04/70.48 Deleted: 2007
% 70.04/70.48 Deletedinuse: 44
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 188023
% 70.04/70.48 Kept: 76594
% 70.04/70.48 Inuse: 1336
% 70.04/70.48 Deleted: 2007
% 70.04/70.48 Deletedinuse: 44
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 192584
% 70.04/70.48 Kept: 78667
% 70.04/70.48 Inuse: 1360
% 70.04/70.48 Deleted: 2007
% 70.04/70.48 Deletedinuse: 44
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying clauses:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 197409
% 70.04/70.48 Kept: 80672
% 70.04/70.48 Inuse: 1390
% 70.04/70.48 Deleted: 2213
% 70.04/70.48 Deletedinuse: 47
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 202499
% 70.04/70.48 Kept: 82771
% 70.04/70.48 Inuse: 1407
% 70.04/70.48 Deleted: 2213
% 70.04/70.48 Deletedinuse: 47
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 206640
% 70.04/70.48 Kept: 84811
% 70.04/70.48 Inuse: 1427
% 70.04/70.48 Deleted: 2213
% 70.04/70.48 Deletedinuse: 47
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 211476
% 70.04/70.48 Kept: 86828
% 70.04/70.48 Inuse: 1452
% 70.04/70.48 Deleted: 2213
% 70.04/70.48 Deletedinuse: 47
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 216047
% 70.04/70.48 Kept: 88966
% 70.04/70.48 Inuse: 1475
% 70.04/70.48 Deleted: 2213
% 70.04/70.48 Deletedinuse: 47
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 221347
% 70.04/70.48 Kept: 91165
% 70.04/70.48 Inuse: 1510
% 70.04/70.48 Deleted: 2215
% 70.04/70.48 Deletedinuse: 49
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 224974
% 70.04/70.48 Kept: 93203
% 70.04/70.48 Inuse: 1527
% 70.04/70.48 Deleted: 2215
% 70.04/70.48 Deletedinuse: 49
% 70.04/70.48
% 70.04/70.48 *** allocated 1946160 integers for termspace/termends
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 228844
% 70.04/70.48 Kept: 95233
% 70.04/70.48 Inuse: 1550
% 70.04/70.48 Deleted: 2215
% 70.04/70.48 Deletedinuse: 49
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 233511
% 70.04/70.48 Kept: 97262
% 70.04/70.48 Inuse: 1569
% 70.04/70.48 Deleted: 2216
% 70.04/70.48 Deletedinuse: 50
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 *** allocated 6568290 integers for clauses
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 238453
% 70.04/70.48 Kept: 99550
% 70.04/70.48 Inuse: 1595
% 70.04/70.48 Deleted: 2216
% 70.04/70.48 Deletedinuse: 50
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying clauses:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 241845
% 70.04/70.48 Kept: 101557
% 70.04/70.48 Inuse: 1616
% 70.04/70.48 Deleted: 2458
% 70.04/70.48 Deletedinuse: 52
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 245638
% 70.04/70.48 Kept: 103645
% 70.04/70.48 Inuse: 1637
% 70.04/70.48 Deleted: 2459
% 70.04/70.48 Deletedinuse: 52
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 249253
% 70.04/70.48 Kept: 105677
% 70.04/70.48 Inuse: 1651
% 70.04/70.48 Deleted: 2461
% 70.04/70.48 Deletedinuse: 54
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 254542
% 70.04/70.48 Kept: 108028
% 70.04/70.48 Inuse: 1674
% 70.04/70.48 Deleted: 2461
% 70.04/70.48 Deletedinuse: 54
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 259137
% 70.04/70.48 Kept: 110132
% 70.04/70.48 Inuse: 1694
% 70.04/70.48 Deleted: 2461
% 70.04/70.48 Deletedinuse: 54
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 263243
% 70.04/70.48 Kept: 112178
% 70.04/70.48 Inuse: 1725
% 70.04/70.48 Deleted: 2461
% 70.04/70.48 Deletedinuse: 54
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 266830
% 70.04/70.48 Kept: 114293
% 70.04/70.48 Inuse: 1743
% 70.04/70.48 Deleted: 2461
% 70.04/70.48 Deletedinuse: 54
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 272113
% 70.04/70.48 Kept: 116582
% 70.04/70.48 Inuse: 1767
% 70.04/70.48 Deleted: 2463
% 70.04/70.48 Deletedinuse: 54
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Intermediate Status:
% 70.04/70.48 Generated: 277555
% 70.04/70.48 Kept: 118617
% 70.04/70.48 Inuse: 1792
% 70.04/70.48 Deleted: 2463
% 70.04/70.48 Deletedinuse: 54
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying inuse:
% 70.04/70.48 Done
% 70.04/70.48
% 70.04/70.48 Resimplifying clauses:
% 70.04/70.48
% 70.04/70.48 Bliksems!, er is een bewijs:
% 70.04/70.48 % SZS status Theorem
% 70.04/70.48 % SZS output start Refutation
% 70.04/70.48
% 70.04/70.48 (0) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X ), member( Z,
% 70.04/70.48 Y ) }.
% 70.04/70.48 (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ), subset( X, Y )
% 70.04/70.48 }.
% 70.04/70.48 (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset( X, Y ) }.
% 70.04/70.48 (11) {G0,W11,D3,L3,V3,M3} I { ! member( X, union( Y, Z ) ), member( X, Y )
% 70.04/70.48 , member( X, Z ) }.
% 70.04/70.48 (12) {G0,W8,D3,L2,V3,M2} I { ! member( X, Y ), member( X, union( Y, Z ) )
% 70.04/70.48 }.
% 70.04/70.48 (13) {G0,W8,D3,L2,V3,M2} I { ! member( X, Z ), member( X, union( Y, Z ) )
% 70.04/70.48 }.
% 70.04/70.48 (14) {G0,W3,D2,L1,V1,M1} I { ! member( X, empty_set ) }.
% 70.04/70.48 (20) {G0,W11,D3,L3,V3,M3} I { ! member( X, unordered_pair( Y, Z ) ), X = Y
% 70.04/70.48 , X = Z }.
% 70.04/70.48 (21) {G0,W8,D3,L2,V3,M2} I { ! X = Y, member( X, unordered_pair( Y, Z ) )
% 70.04/70.48 }.
% 70.04/70.48 (27) {G0,W9,D3,L2,V3,M2} I { member( skol3( Z, Y ), Y ), member( X, product
% 70.04/70.48 ( Y ) ) }.
% 70.04/70.48 (29) {G0,W9,D3,L2,V0,M2} I { alpha1( skol4, skol5, skol6 ), subset( union(
% 70.04/70.48 skol5, skol6 ), skol4 ) }.
% 70.04/70.48 (30) {G0,W10,D2,L3,V0,M3} I { alpha1( skol4, skol5, skol6 ), ! subset(
% 70.04/70.48 skol5, skol4 ), ! subset( skol6, skol4 ) }.
% 70.04/70.48 (31) {G0,W7,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), subset( Y, X ) }.
% 70.04/70.48 (32) {G0,W7,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), subset( Z, X ) }.
% 70.04/70.48 (33) {G0,W9,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), ! subset( union( Y, Z ),
% 70.04/70.48 X ) }.
% 70.04/70.48 (41) {G1,W11,D3,L3,V3,M3} E(20) { ! X = Y, ! member( Z, unordered_pair( Y,
% 70.04/70.48 X ) ), Z = Y }.
% 70.04/70.48 (42) {G1,W5,D3,L1,V2,M1} Q(21) { member( X, unordered_pair( X, Y ) ) }.
% 70.04/70.48 (51) {G1,W6,D2,L2,V2,M2} R(0,14) { ! subset( X, empty_set ), ! member( Y, X
% 70.04/70.48 ) }.
% 70.04/70.48 (54) {G2,W5,D3,L1,V2,M1} R(51,42) { ! subset( unordered_pair( X, Y ),
% 70.04/70.48 empty_set ) }.
% 70.04/70.48 (58) {G1,W11,D3,L3,V4,M3} R(1,0) { subset( X, Y ), ! subset( Z, Y ), !
% 70.04/70.48 member( skol1( T, Y ), Z ) }.
% 70.04/70.48 (67) {G3,W9,D4,L1,V2,M1} R(2,54) { member( skol1( unordered_pair( X, Y ),
% 70.04/70.48 empty_set ), unordered_pair( X, Y ) ) }.
% 70.04/70.48 (247) {G1,W19,D4,L3,V3,M3} R(11,2) { member( skol1( union( X, Y ), Z ), X )
% 70.04/70.48 , member( skol1( union( X, Y ), Z ), Y ), subset( union( X, Y ), Z ) }.
% 70.04/70.48 (307) {G1,W10,D3,L2,V3,M2} R(12,2) { member( skol1( X, Y ), union( X, Z ) )
% 70.04/70.48 , subset( X, Y ) }.
% 70.04/70.48 (350) {G1,W10,D3,L2,V3,M2} R(13,2) { member( skol1( X, Y ), union( Z, X ) )
% 70.04/70.48 , subset( X, Y ) }.
% 70.04/70.48 (2455) {G1,W4,D3,L1,V1,M1} R(27,14) { member( X, product( empty_set ) ) }.
% 70.04/70.48 (2658) {G1,W8,D3,L2,V0,M2} R(29,32) { subset( union( skol5, skol6 ), skol4
% 70.04/70.48 ), subset( skol6, skol4 ) }.
% 70.04/70.48 (2910) {G1,W8,D3,L2,V0,M2} R(31,29) { subset( skol5, skol4 ), subset( union
% 70.04/70.48 ( skol5, skol6 ), skol4 ) }.
% 70.04/70.48 (6820) {G2,W7,D3,L2,V2,M2} R(58,2455) { subset( X, Y ), ! subset( product(
% 70.04/70.48 empty_set ), Y ) }.
% 70.04/70.48 (7607) {G4,W10,D4,L2,V2,M2} R(67,41) { ! X = Y, skol1( unordered_pair( Y, X
% 70.04/70.48 ), empty_set ) ==> Y }.
% 70.04/70.48 (7613) {G4,W14,D4,L2,V2,M2} R(67,20) { skol1( unordered_pair( X, Y ),
% 70.04/70.48 empty_set ) ==> X, skol1( unordered_pair( X, Y ), empty_set ) ==> Y }.
% 70.04/70.48 (7629) {G5,W6,D2,L2,V2,M2} E(7613);d(7607) { ! X = Y, X = Y }.
% 70.04/70.48 (7847) {G6,W13,D2,L4,V1,M4} P(7629,30) { alpha1( skol4, X, skol6 ), !
% 70.04/70.48 subset( X, skol4 ), ! subset( skol6, skol4 ), ! skol5 = X }.
% 70.04/70.48 (36006) {G3,W8,D3,L2,V3,M2} R(6820,33) { ! subset( product( empty_set ), X
% 70.04/70.48 ), ! alpha1( X, Y, Z ) }.
% 70.04/70.48 (36008) {G4,W7,D3,L2,V0,M2} R(6820,30);r(36006) { ! subset( product(
% 70.04/70.48 empty_set ), skol4 ), ! subset( skol6, skol4 ) }.
% 70.04/70.48 (40027) {G5,W4,D3,L1,V0,M1} S(36008);r(6820) { ! subset( product( empty_set
% 70.04/70.48 ), skol4 ) }.
% 70.04/70.48 (40189) {G6,W5,D3,L1,V1,M1} R(40027,1) { ! member( skol1( X, skol4 ), skol4
% 70.04/70.48 ) }.
% 70.04/70.48 (70567) {G2,W11,D3,L3,V4,M3} R(307,58) { subset( X, Y ), subset( Z, Y ), !
% 70.04/70.48 subset( union( X, T ), Y ) }.
% 70.04/70.48 (70605) {G3,W8,D3,L2,V3,M2} F(70567) { subset( X, Y ), ! subset( union( X,
% 70.04/70.48 Z ), Y ) }.
% 70.04/70.48 (80180) {G4,W3,D2,L1,V0,M1} S(2910);r(70605) { subset( skol5, skol4 ) }.
% 70.04/70.48 (80243) {G5,W6,D2,L2,V1,M2} R(80180,0) { ! member( X, skol5 ), member( X,
% 70.04/70.48 skol4 ) }.
% 70.04/70.48 (80244) {G6,W6,D2,L2,V1,M2} P(7629,80180) { subset( X, skol4 ), ! skol5 = X
% 70.04/70.48 }.
% 70.04/70.48 (82900) {G7,W5,D3,L1,V1,M1} R(80243,40189) { ! member( skol1( X, skol4 ),
% 70.04/70.48 skol5 ) }.
% 70.04/70.48 (85637) {G2,W11,D3,L3,V4,M3} R(350,58) { subset( X, Y ), subset( Z, Y ), !
% 70.04/70.48 subset( union( T, X ), Y ) }.
% 70.04/70.48 (85672) {G3,W8,D3,L2,V3,M2} F(85637) { subset( X, Y ), ! subset( union( Z,
% 70.04/70.48 X ), Y ) }.
% 70.04/70.48 (100411) {G7,W10,D2,L3,V1,M3} S(7847);r(80244) { alpha1( skol4, X, skol6 )
% 70.04/70.48 , ! subset( skol6, skol4 ), ! skol5 = X }.
% 70.04/70.48 (100416) {G4,W3,D2,L1,V0,M1} S(2658);r(85672) { subset( skol6, skol4 ) }.
% 70.04/70.48 (100417) {G8,W4,D2,L1,V0,M1} Q(100411);r(100416) { alpha1( skol4, skol5,
% 70.04/70.48 skol6 ) }.
% 70.04/70.48 (100460) {G5,W6,D2,L2,V1,M2} R(100416,0) { ! member( X, skol6 ), member( X
% 70.04/70.48 , skol4 ) }.
% 70.04/70.48 (100487) {G9,W5,D3,L1,V0,M1} R(100417,33) { ! subset( union( skol5, skol6 )
% 70.04/70.48 , skol4 ) }.
% 70.04/70.48 (101224) {G10,W7,D4,L1,V0,M1} R(100487,247);r(82900) { member( skol1( union
% 70.04/70.48 ( skol5, skol6 ), skol4 ), skol6 ) }.
% 70.04/70.48 (104390) {G7,W5,D3,L1,V1,M1} R(100460,40189) { ! member( skol1( X, skol4 )
% 70.04/70.48 , skol6 ) }.
% 70.04/70.48 (120446) {G11,W0,D0,L0,V0,M0} S(101224);r(104390) { }.
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 % SZS output end Refutation
% 70.04/70.48 found a proof!
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Unprocessed initial clauses:
% 70.04/70.48
% 70.04/70.48 (120448) {G0,W9,D2,L3,V3,M3} { ! subset( X, Y ), ! member( Z, X ), member
% 70.04/70.48 ( Z, Y ) }.
% 70.04/70.48 (120449) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ), subset( X, Y
% 70.04/70.48 ) }.
% 70.04/70.48 (120450) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subset( X, Y )
% 70.04/70.48 }.
% 70.04/70.48 (120451) {G0,W6,D2,L2,V2,M2} { ! equal_set( X, Y ), subset( X, Y ) }.
% 70.04/70.48 (120452) {G0,W6,D2,L2,V2,M2} { ! equal_set( X, Y ), subset( Y, X ) }.
% 70.04/70.48 (120453) {G0,W9,D2,L3,V2,M3} { ! subset( X, Y ), ! subset( Y, X ),
% 70.04/70.48 equal_set( X, Y ) }.
% 70.04/70.48 (120454) {G0,W7,D3,L2,V2,M2} { ! member( X, power_set( Y ) ), subset( X, Y
% 70.04/70.48 ) }.
% 70.04/70.48 (120455) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), member( X, power_set( Y )
% 70.04/70.48 ) }.
% 70.04/70.48 (120456) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) ), member
% 70.04/70.48 ( X, Y ) }.
% 70.04/70.48 (120457) {G0,W8,D3,L2,V3,M2} { ! member( X, intersection( Y, Z ) ), member
% 70.04/70.48 ( X, Z ) }.
% 70.04/70.48 (120458) {G0,W11,D3,L3,V3,M3} { ! member( X, Y ), ! member( X, Z ), member
% 70.04/70.48 ( X, intersection( Y, Z ) ) }.
% 70.04/70.48 (120459) {G0,W11,D3,L3,V3,M3} { ! member( X, union( Y, Z ) ), member( X, Y
% 70.04/70.48 ), member( X, Z ) }.
% 70.04/70.48 (120460) {G0,W8,D3,L2,V3,M2} { ! member( X, Y ), member( X, union( Y, Z )
% 70.04/70.48 ) }.
% 70.04/70.48 (120461) {G0,W8,D3,L2,V3,M2} { ! member( X, Z ), member( X, union( Y, Z )
% 70.04/70.48 ) }.
% 70.04/70.48 (120462) {G0,W3,D2,L1,V1,M1} { ! member( X, empty_set ) }.
% 70.04/70.48 (120463) {G0,W8,D3,L2,V3,M2} { ! member( X, difference( Z, Y ) ), member(
% 70.04/70.48 X, Z ) }.
% 70.04/70.48 (120464) {G0,W8,D3,L2,V3,M2} { ! member( X, difference( Z, Y ) ), ! member
% 70.04/70.48 ( X, Y ) }.
% 70.04/70.48 (120465) {G0,W11,D3,L3,V3,M3} { ! member( X, Z ), member( X, Y ), member(
% 70.04/70.48 X, difference( Z, Y ) ) }.
% 70.04/70.48 (120466) {G0,W7,D3,L2,V2,M2} { ! member( X, singleton( Y ) ), X = Y }.
% 70.04/70.48 (120467) {G0,W7,D3,L2,V2,M2} { ! X = Y, member( X, singleton( Y ) ) }.
% 70.04/70.48 (120468) {G0,W11,D3,L3,V3,M3} { ! member( X, unordered_pair( Y, Z ) ), X =
% 70.04/70.48 Y, X = Z }.
% 70.04/70.48 (120469) {G0,W8,D3,L2,V3,M2} { ! X = Y, member( X, unordered_pair( Y, Z )
% 70.04/70.48 ) }.
% 70.04/70.48 (120470) {G0,W8,D3,L2,V3,M2} { ! X = Z, member( X, unordered_pair( Y, Z )
% 70.04/70.48 ) }.
% 70.04/70.48 (120471) {G0,W9,D3,L2,V3,M2} { ! member( X, sum( Y ) ), member( skol2( Z,
% 70.04/70.48 Y ), Y ) }.
% 70.04/70.48 (120472) {G0,W9,D3,L2,V2,M2} { ! member( X, sum( Y ) ), member( X, skol2(
% 70.04/70.48 X, Y ) ) }.
% 70.04/70.48 (120473) {G0,W10,D3,L3,V3,M3} { ! member( Z, Y ), ! member( X, Z ), member
% 70.04/70.48 ( X, sum( Y ) ) }.
% 70.04/70.48 (120474) {G0,W10,D3,L3,V3,M3} { ! member( X, product( Y ) ), ! member( Z,
% 70.04/70.48 Y ), member( X, Z ) }.
% 70.04/70.48 (120475) {G0,W9,D3,L2,V3,M2} { member( skol3( Z, Y ), Y ), member( X,
% 70.04/70.48 product( Y ) ) }.
% 70.04/70.48 (120476) {G0,W9,D3,L2,V2,M2} { ! member( X, skol3( X, Y ) ), member( X,
% 70.04/70.48 product( Y ) ) }.
% 70.04/70.48 (120477) {G0,W9,D3,L2,V0,M2} { alpha1( skol4, skol5, skol6 ), subset(
% 70.04/70.48 union( skol5, skol6 ), skol4 ) }.
% 70.04/70.48 (120478) {G0,W10,D2,L3,V0,M3} { alpha1( skol4, skol5, skol6 ), ! subset(
% 70.04/70.48 skol5, skol4 ), ! subset( skol6, skol4 ) }.
% 70.04/70.48 (120479) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), subset( Y, X ) }.
% 70.04/70.48 (120480) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), subset( Z, X ) }.
% 70.04/70.48 (120481) {G0,W9,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! subset( union( Y, Z
% 70.04/70.48 ), X ) }.
% 70.04/70.48 (120482) {G0,W15,D3,L4,V3,M4} { ! subset( Y, X ), ! subset( Z, X ), subset
% 70.04/70.48 ( union( Y, Z ), X ), alpha1( X, Y, Z ) }.
% 70.04/70.48
% 70.04/70.48
% 70.04/70.48 Total Proof:
% 70.04/70.48
% 70.04/70.48 subsumption: (0) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X )
% 70.04/70.48 , member( Z, Y ) }.
% 70.04/70.48 parent0: (120448) {G0,W9,D2,L3,V3,M3} { ! subset( X, Y ), ! member( Z, X )
% 70.04/70.48 , member( Z, Y ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 2 ==> 2
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 70.04/70.48 subset( X, Y ) }.
% 70.04/70.48 parent0: (120449) {G0,W8,D3,L2,V3,M2} { ! member( skol1( Z, Y ), Y ),
% 70.04/70.48 subset( X, Y ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 70.04/70.48 ( X, Y ) }.
% 70.04/70.48 parent0: (120450) {G0,W8,D3,L2,V2,M2} { member( skol1( X, Y ), X ), subset
% 70.04/70.48 ( X, Y ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (11) {G0,W11,D3,L3,V3,M3} I { ! member( X, union( Y, Z ) ),
% 70.04/70.48 member( X, Y ), member( X, Z ) }.
% 70.04/70.48 parent0: (120459) {G0,W11,D3,L3,V3,M3} { ! member( X, union( Y, Z ) ),
% 70.04/70.48 member( X, Y ), member( X, Z ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 2 ==> 2
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (12) {G0,W8,D3,L2,V3,M2} I { ! member( X, Y ), member( X,
% 70.04/70.48 union( Y, Z ) ) }.
% 70.04/70.48 parent0: (120460) {G0,W8,D3,L2,V3,M2} { ! member( X, Y ), member( X, union
% 70.04/70.48 ( Y, Z ) ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (13) {G0,W8,D3,L2,V3,M2} I { ! member( X, Z ), member( X,
% 70.04/70.48 union( Y, Z ) ) }.
% 70.04/70.48 parent0: (120461) {G0,W8,D3,L2,V3,M2} { ! member( X, Z ), member( X, union
% 70.04/70.48 ( Y, Z ) ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (14) {G0,W3,D2,L1,V1,M1} I { ! member( X, empty_set ) }.
% 70.04/70.48 parent0: (120462) {G0,W3,D2,L1,V1,M1} { ! member( X, empty_set ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (20) {G0,W11,D3,L3,V3,M3} I { ! member( X, unordered_pair( Y,
% 70.04/70.48 Z ) ), X = Y, X = Z }.
% 70.04/70.48 parent0: (120468) {G0,W11,D3,L3,V3,M3} { ! member( X, unordered_pair( Y, Z
% 70.04/70.48 ) ), X = Y, X = Z }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 2 ==> 2
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (21) {G0,W8,D3,L2,V3,M2} I { ! X = Y, member( X,
% 70.04/70.48 unordered_pair( Y, Z ) ) }.
% 70.04/70.48 parent0: (120469) {G0,W8,D3,L2,V3,M2} { ! X = Y, member( X, unordered_pair
% 70.04/70.48 ( Y, Z ) ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (27) {G0,W9,D3,L2,V3,M2} I { member( skol3( Z, Y ), Y ),
% 70.04/70.48 member( X, product( Y ) ) }.
% 70.04/70.48 parent0: (120475) {G0,W9,D3,L2,V3,M2} { member( skol3( Z, Y ), Y ), member
% 70.04/70.48 ( X, product( Y ) ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (29) {G0,W9,D3,L2,V0,M2} I { alpha1( skol4, skol5, skol6 ),
% 70.04/70.48 subset( union( skol5, skol6 ), skol4 ) }.
% 70.04/70.48 parent0: (120477) {G0,W9,D3,L2,V0,M2} { alpha1( skol4, skol5, skol6 ),
% 70.04/70.48 subset( union( skol5, skol6 ), skol4 ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (30) {G0,W10,D2,L3,V0,M3} I { alpha1( skol4, skol5, skol6 ), !
% 70.04/70.48 subset( skol5, skol4 ), ! subset( skol6, skol4 ) }.
% 70.04/70.48 parent0: (120478) {G0,W10,D2,L3,V0,M3} { alpha1( skol4, skol5, skol6 ), !
% 70.04/70.48 subset( skol5, skol4 ), ! subset( skol6, skol4 ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 2 ==> 2
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (31) {G0,W7,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), subset( Y, X
% 70.04/70.48 ) }.
% 70.04/70.48 parent0: (120479) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), subset( Y, X
% 70.04/70.48 ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (32) {G0,W7,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), subset( Z, X
% 70.04/70.48 ) }.
% 70.04/70.48 parent0: (120480) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), subset( Z, X
% 70.04/70.48 ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (33) {G0,W9,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), ! subset(
% 70.04/70.48 union( Y, Z ), X ) }.
% 70.04/70.48 parent0: (120481) {G0,W9,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), ! subset(
% 70.04/70.48 union( Y, Z ), X ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 eqfact: (120612) {G0,W11,D3,L3,V3,M3} { ! X = Y, ! member( Z,
% 70.04/70.48 unordered_pair( Y, X ) ), Z = Y }.
% 70.04/70.48 parent0[2, 1]: (20) {G0,W11,D3,L3,V3,M3} I { ! member( X, unordered_pair( Y
% 70.04/70.48 , Z ) ), X = Y, X = Z }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := Z
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := X
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (41) {G1,W11,D3,L3,V3,M3} E(20) { ! X = Y, ! member( Z,
% 70.04/70.48 unordered_pair( Y, X ) ), Z = Y }.
% 70.04/70.48 parent0: (120612) {G0,W11,D3,L3,V3,M3} { ! X = Y, ! member( Z,
% 70.04/70.48 unordered_pair( Y, X ) ), Z = Y }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 2 ==> 2
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 eqswap: (120619) {G0,W8,D3,L2,V3,M2} { ! Y = X, member( X, unordered_pair
% 70.04/70.48 ( Y, Z ) ) }.
% 70.04/70.48 parent0[0]: (21) {G0,W8,D3,L2,V3,M2} I { ! X = Y, member( X, unordered_pair
% 70.04/70.48 ( Y, Z ) ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 eqrefl: (120620) {G0,W5,D3,L1,V2,M1} { member( X, unordered_pair( X, Y ) )
% 70.04/70.48 }.
% 70.04/70.48 parent0[0]: (120619) {G0,W8,D3,L2,V3,M2} { ! Y = X, member( X,
% 70.04/70.48 unordered_pair( Y, Z ) ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := X
% 70.04/70.48 Z := Y
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (42) {G1,W5,D3,L1,V2,M1} Q(21) { member( X, unordered_pair( X
% 70.04/70.48 , Y ) ) }.
% 70.04/70.48 parent0: (120620) {G0,W5,D3,L1,V2,M1} { member( X, unordered_pair( X, Y )
% 70.04/70.48 ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 resolution: (120621) {G1,W6,D2,L2,V2,M2} { ! subset( Y, empty_set ), !
% 70.04/70.48 member( X, Y ) }.
% 70.04/70.48 parent0[0]: (14) {G0,W3,D2,L1,V1,M1} I { ! member( X, empty_set ) }.
% 70.04/70.48 parent1[2]: (0) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X )
% 70.04/70.48 , member( Z, Y ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 end
% 70.04/70.48 substitution1:
% 70.04/70.48 X := Y
% 70.04/70.48 Y := empty_set
% 70.04/70.48 Z := X
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (51) {G1,W6,D2,L2,V2,M2} R(0,14) { ! subset( X, empty_set ), !
% 70.04/70.48 member( Y, X ) }.
% 70.04/70.48 parent0: (120621) {G1,W6,D2,L2,V2,M2} { ! subset( Y, empty_set ), ! member
% 70.04/70.48 ( X, Y ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := Y
% 70.04/70.48 Y := X
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 resolution: (120622) {G2,W5,D3,L1,V2,M1} { ! subset( unordered_pair( X, Y
% 70.04/70.48 ), empty_set ) }.
% 70.04/70.48 parent0[1]: (51) {G1,W6,D2,L2,V2,M2} R(0,14) { ! subset( X, empty_set ), !
% 70.04/70.48 member( Y, X ) }.
% 70.04/70.48 parent1[0]: (42) {G1,W5,D3,L1,V2,M1} Q(21) { member( X, unordered_pair( X,
% 70.04/70.48 Y ) ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := unordered_pair( X, Y )
% 70.04/70.48 Y := X
% 70.04/70.48 end
% 70.04/70.48 substitution1:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (54) {G2,W5,D3,L1,V2,M1} R(51,42) { ! subset( unordered_pair(
% 70.04/70.48 X, Y ), empty_set ) }.
% 70.04/70.48 parent0: (120622) {G2,W5,D3,L1,V2,M1} { ! subset( unordered_pair( X, Y ),
% 70.04/70.48 empty_set ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 resolution: (120623) {G1,W11,D3,L3,V4,M3} { subset( Z, Y ), ! subset( T, Y
% 70.04/70.48 ), ! member( skol1( X, Y ), T ) }.
% 70.04/70.48 parent0[0]: (1) {G0,W8,D3,L2,V3,M2} I { ! member( skol1( Z, Y ), Y ),
% 70.04/70.48 subset( X, Y ) }.
% 70.04/70.48 parent1[2]: (0) {G0,W9,D2,L3,V3,M3} I { ! subset( X, Y ), ! member( Z, X )
% 70.04/70.48 , member( Z, Y ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := Z
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := X
% 70.04/70.48 end
% 70.04/70.48 substitution1:
% 70.04/70.48 X := T
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := skol1( X, Y )
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (58) {G1,W11,D3,L3,V4,M3} R(1,0) { subset( X, Y ), ! subset( Z
% 70.04/70.48 , Y ), ! member( skol1( T, Y ), Z ) }.
% 70.04/70.48 parent0: (120623) {G1,W11,D3,L3,V4,M3} { subset( Z, Y ), ! subset( T, Y )
% 70.04/70.48 , ! member( skol1( X, Y ), T ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := T
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := X
% 70.04/70.48 T := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 2 ==> 2
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 resolution: (120624) {G1,W9,D4,L1,V2,M1} { member( skol1( unordered_pair(
% 70.04/70.48 X, Y ), empty_set ), unordered_pair( X, Y ) ) }.
% 70.04/70.48 parent0[0]: (54) {G2,W5,D3,L1,V2,M1} R(51,42) { ! subset( unordered_pair( X
% 70.04/70.48 , Y ), empty_set ) }.
% 70.04/70.48 parent1[1]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 70.04/70.48 ( X, Y ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48 substitution1:
% 70.04/70.48 X := unordered_pair( X, Y )
% 70.04/70.48 Y := empty_set
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (67) {G3,W9,D4,L1,V2,M1} R(2,54) { member( skol1(
% 70.04/70.48 unordered_pair( X, Y ), empty_set ), unordered_pair( X, Y ) ) }.
% 70.04/70.48 parent0: (120624) {G1,W9,D4,L1,V2,M1} { member( skol1( unordered_pair( X,
% 70.04/70.48 Y ), empty_set ), unordered_pair( X, Y ) ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 resolution: (120625) {G1,W19,D4,L3,V3,M3} { member( skol1( union( X, Y ),
% 70.04/70.48 Z ), X ), member( skol1( union( X, Y ), Z ), Y ), subset( union( X, Y ),
% 70.04/70.48 Z ) }.
% 70.04/70.48 parent0[0]: (11) {G0,W11,D3,L3,V3,M3} I { ! member( X, union( Y, Z ) ),
% 70.04/70.48 member( X, Y ), member( X, Z ) }.
% 70.04/70.48 parent1[0]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 70.04/70.48 ( X, Y ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := skol1( union( X, Y ), Z )
% 70.04/70.48 Y := X
% 70.04/70.48 Z := Y
% 70.04/70.48 end
% 70.04/70.48 substitution1:
% 70.04/70.48 X := union( X, Y )
% 70.04/70.48 Y := Z
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (247) {G1,W19,D4,L3,V3,M3} R(11,2) { member( skol1( union( X,
% 70.04/70.48 Y ), Z ), X ), member( skol1( union( X, Y ), Z ), Y ), subset( union( X,
% 70.04/70.48 Y ), Z ) }.
% 70.04/70.48 parent0: (120625) {G1,W19,D4,L3,V3,M3} { member( skol1( union( X, Y ), Z )
% 70.04/70.48 , X ), member( skol1( union( X, Y ), Z ), Y ), subset( union( X, Y ), Z )
% 70.04/70.48 }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 2 ==> 2
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 resolution: (120627) {G1,W10,D3,L2,V3,M2} { member( skol1( X, Y ), union(
% 70.04/70.48 X, Z ) ), subset( X, Y ) }.
% 70.04/70.48 parent0[0]: (12) {G0,W8,D3,L2,V3,M2} I { ! member( X, Y ), member( X, union
% 70.04/70.48 ( Y, Z ) ) }.
% 70.04/70.48 parent1[0]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 70.04/70.48 ( X, Y ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := skol1( X, Y )
% 70.04/70.48 Y := X
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 substitution1:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (307) {G1,W10,D3,L2,V3,M2} R(12,2) { member( skol1( X, Y ),
% 70.04/70.48 union( X, Z ) ), subset( X, Y ) }.
% 70.04/70.48 parent0: (120627) {G1,W10,D3,L2,V3,M2} { member( skol1( X, Y ), union( X,
% 70.04/70.48 Z ) ), subset( X, Y ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 resolution: (120628) {G1,W10,D3,L2,V3,M2} { member( skol1( X, Y ), union(
% 70.04/70.48 Z, X ) ), subset( X, Y ) }.
% 70.04/70.48 parent0[0]: (13) {G0,W8,D3,L2,V3,M2} I { ! member( X, Z ), member( X, union
% 70.04/70.48 ( Y, Z ) ) }.
% 70.04/70.48 parent1[0]: (2) {G0,W8,D3,L2,V2,M2} I { member( skol1( X, Y ), X ), subset
% 70.04/70.48 ( X, Y ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := skol1( X, Y )
% 70.04/70.48 Y := Z
% 70.04/70.48 Z := X
% 70.04/70.48 end
% 70.04/70.48 substitution1:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (350) {G1,W10,D3,L2,V3,M2} R(13,2) { member( skol1( X, Y ),
% 70.04/70.48 union( Z, X ) ), subset( X, Y ) }.
% 70.04/70.48 parent0: (120628) {G1,W10,D3,L2,V3,M2} { member( skol1( X, Y ), union( Z,
% 70.04/70.48 X ) ), subset( X, Y ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 resolution: (120629) {G1,W4,D3,L1,V1,M1} { member( Y, product( empty_set )
% 70.04/70.48 ) }.
% 70.04/70.48 parent0[0]: (14) {G0,W3,D2,L1,V1,M1} I { ! member( X, empty_set ) }.
% 70.04/70.48 parent1[0]: (27) {G0,W9,D3,L2,V3,M2} I { member( skol3( Z, Y ), Y ), member
% 70.04/70.48 ( X, product( Y ) ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := skol3( X, empty_set )
% 70.04/70.48 end
% 70.04/70.48 substitution1:
% 70.04/70.48 X := Y
% 70.04/70.48 Y := empty_set
% 70.04/70.48 Z := X
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (2455) {G1,W4,D3,L1,V1,M1} R(27,14) { member( X, product(
% 70.04/70.48 empty_set ) ) }.
% 70.04/70.48 parent0: (120629) {G1,W4,D3,L1,V1,M1} { member( Y, product( empty_set ) )
% 70.04/70.48 }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := Y
% 70.04/70.48 Y := X
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 resolution: (120630) {G1,W8,D3,L2,V0,M2} { subset( skol6, skol4 ), subset
% 70.04/70.48 ( union( skol5, skol6 ), skol4 ) }.
% 70.04/70.48 parent0[0]: (32) {G0,W7,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), subset( Z, X
% 70.04/70.48 ) }.
% 70.04/70.48 parent1[0]: (29) {G0,W9,D3,L2,V0,M2} I { alpha1( skol4, skol5, skol6 ),
% 70.04/70.48 subset( union( skol5, skol6 ), skol4 ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := skol4
% 70.04/70.48 Y := skol5
% 70.04/70.48 Z := skol6
% 70.04/70.48 end
% 70.04/70.48 substitution1:
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (2658) {G1,W8,D3,L2,V0,M2} R(29,32) { subset( union( skol5,
% 70.04/70.48 skol6 ), skol4 ), subset( skol6, skol4 ) }.
% 70.04/70.48 parent0: (120630) {G1,W8,D3,L2,V0,M2} { subset( skol6, skol4 ), subset(
% 70.04/70.48 union( skol5, skol6 ), skol4 ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 1
% 70.04/70.48 1 ==> 0
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 resolution: (120631) {G1,W8,D3,L2,V0,M2} { subset( skol5, skol4 ), subset
% 70.04/70.48 ( union( skol5, skol6 ), skol4 ) }.
% 70.04/70.48 parent0[0]: (31) {G0,W7,D2,L2,V3,M2} I { ! alpha1( X, Y, Z ), subset( Y, X
% 70.04/70.48 ) }.
% 70.04/70.48 parent1[0]: (29) {G0,W9,D3,L2,V0,M2} I { alpha1( skol4, skol5, skol6 ),
% 70.04/70.48 subset( union( skol5, skol6 ), skol4 ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := skol4
% 70.04/70.48 Y := skol5
% 70.04/70.48 Z := skol6
% 70.04/70.48 end
% 70.04/70.48 substitution1:
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (2910) {G1,W8,D3,L2,V0,M2} R(31,29) { subset( skol5, skol4 ),
% 70.04/70.48 subset( union( skol5, skol6 ), skol4 ) }.
% 70.04/70.48 parent0: (120631) {G1,W8,D3,L2,V0,M2} { subset( skol5, skol4 ), subset(
% 70.04/70.48 union( skol5, skol6 ), skol4 ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 resolution: (120632) {G2,W7,D3,L2,V2,M2} { subset( X, Y ), ! subset(
% 70.04/70.48 product( empty_set ), Y ) }.
% 70.04/70.48 parent0[2]: (58) {G1,W11,D3,L3,V4,M3} R(1,0) { subset( X, Y ), ! subset( Z
% 70.04/70.48 , Y ), ! member( skol1( T, Y ), Z ) }.
% 70.04/70.48 parent1[0]: (2455) {G1,W4,D3,L1,V1,M1} R(27,14) { member( X, product(
% 70.04/70.48 empty_set ) ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := product( empty_set )
% 70.04/70.48 T := Z
% 70.04/70.48 end
% 70.04/70.48 substitution1:
% 70.04/70.48 X := skol1( Z, Y )
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (6820) {G2,W7,D3,L2,V2,M2} R(58,2455) { subset( X, Y ), !
% 70.04/70.48 subset( product( empty_set ), Y ) }.
% 70.04/70.48 parent0: (120632) {G2,W7,D3,L2,V2,M2} { subset( X, Y ), ! subset( product
% 70.04/70.48 ( empty_set ), Y ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 eqswap: (120633) {G1,W11,D3,L3,V3,M3} { ! Y = X, ! member( Z,
% 70.04/70.48 unordered_pair( Y, X ) ), Z = Y }.
% 70.04/70.48 parent0[0]: (41) {G1,W11,D3,L3,V3,M3} E(20) { ! X = Y, ! member( Z,
% 70.04/70.48 unordered_pair( Y, X ) ), Z = Y }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 resolution: (120636) {G2,W10,D4,L2,V2,M2} { ! X = Y, skol1( unordered_pair
% 70.04/70.48 ( X, Y ), empty_set ) = X }.
% 70.04/70.48 parent0[1]: (120633) {G1,W11,D3,L3,V3,M3} { ! Y = X, ! member( Z,
% 70.04/70.48 unordered_pair( Y, X ) ), Z = Y }.
% 70.04/70.48 parent1[0]: (67) {G3,W9,D4,L1,V2,M1} R(2,54) { member( skol1(
% 70.04/70.48 unordered_pair( X, Y ), empty_set ), unordered_pair( X, Y ) ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := Y
% 70.04/70.48 Y := X
% 70.04/70.48 Z := skol1( unordered_pair( X, Y ), empty_set )
% 70.04/70.48 end
% 70.04/70.48 substitution1:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 eqswap: (120637) {G2,W10,D4,L2,V2,M2} { ! Y = X, skol1( unordered_pair( X
% 70.04/70.48 , Y ), empty_set ) = X }.
% 70.04/70.48 parent0[0]: (120636) {G2,W10,D4,L2,V2,M2} { ! X = Y, skol1( unordered_pair
% 70.04/70.48 ( X, Y ), empty_set ) = X }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (7607) {G4,W10,D4,L2,V2,M2} R(67,41) { ! X = Y, skol1(
% 70.04/70.48 unordered_pair( Y, X ), empty_set ) ==> Y }.
% 70.04/70.48 parent0: (120637) {G2,W10,D4,L2,V2,M2} { ! Y = X, skol1( unordered_pair( X
% 70.04/70.48 , Y ), empty_set ) = X }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := Y
% 70.04/70.48 Y := X
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 eqswap: (120640) {G0,W11,D3,L3,V3,M3} { Y = X, ! member( X, unordered_pair
% 70.04/70.48 ( Y, Z ) ), X = Z }.
% 70.04/70.48 parent0[1]: (20) {G0,W11,D3,L3,V3,M3} I { ! member( X, unordered_pair( Y, Z
% 70.04/70.48 ) ), X = Y, X = Z }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 Z := Z
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 resolution: (120643) {G1,W14,D4,L2,V2,M2} { X = skol1( unordered_pair( X,
% 70.04/70.48 Y ), empty_set ), skol1( unordered_pair( X, Y ), empty_set ) = Y }.
% 70.04/70.48 parent0[1]: (120640) {G0,W11,D3,L3,V3,M3} { Y = X, ! member( X,
% 70.04/70.48 unordered_pair( Y, Z ) ), X = Z }.
% 70.04/70.48 parent1[0]: (67) {G3,W9,D4,L1,V2,M1} R(2,54) { member( skol1(
% 70.04/70.48 unordered_pair( X, Y ), empty_set ), unordered_pair( X, Y ) ) }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := skol1( unordered_pair( X, Y ), empty_set )
% 70.04/70.48 Y := X
% 70.04/70.48 Z := Y
% 70.04/70.48 end
% 70.04/70.48 substitution1:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 eqswap: (120644) {G1,W14,D4,L2,V2,M2} { skol1( unordered_pair( X, Y ),
% 70.04/70.48 empty_set ) = X, skol1( unordered_pair( X, Y ), empty_set ) = Y }.
% 70.04/70.48 parent0[0]: (120643) {G1,W14,D4,L2,V2,M2} { X = skol1( unordered_pair( X,
% 70.04/70.48 Y ), empty_set ), skol1( unordered_pair( X, Y ), empty_set ) = Y }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (7613) {G4,W14,D4,L2,V2,M2} R(67,20) { skol1( unordered_pair(
% 70.04/70.48 X, Y ), empty_set ) ==> X, skol1( unordered_pair( X, Y ), empty_set ) ==>
% 70.04/70.48 Y }.
% 70.04/70.48 parent0: (120644) {G1,W14,D4,L2,V2,M2} { skol1( unordered_pair( X, Y ),
% 70.04/70.48 empty_set ) = X, skol1( unordered_pair( X, Y ), empty_set ) = Y }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48 permutation0:
% 70.04/70.48 0 ==> 0
% 70.04/70.48 1 ==> 1
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 eqswap: (120652) {G4,W10,D4,L2,V2,M2} { ! Y = X, skol1( unordered_pair( Y
% 70.04/70.48 , X ), empty_set ) ==> Y }.
% 70.04/70.48 parent0[0]: (7607) {G4,W10,D4,L2,V2,M2} R(67,41) { ! X = Y, skol1(
% 70.04/70.48 unordered_pair( Y, X ), empty_set ) ==> Y }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 eqfact: (120692) {G0,W10,D4,L2,V2,M2} { ! X = Y, skol1( unordered_pair( X
% 70.04/70.48 , Y ), empty_set ) ==> Y }.
% 70.04/70.48 parent0[0, 1]: (7613) {G4,W14,D4,L2,V2,M2} R(67,20) { skol1( unordered_pair
% 70.04/70.48 ( X, Y ), empty_set ) ==> X, skol1( unordered_pair( X, Y ), empty_set )
% 70.04/70.48 ==> Y }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 paramod: (120694) {G1,W9,D2,L3,V2,M3} { X ==> Y, ! X = Y, ! X = Y }.
% 70.04/70.48 parent0[1]: (120652) {G4,W10,D4,L2,V2,M2} { ! Y = X, skol1( unordered_pair
% 70.04/70.48 ( Y, X ), empty_set ) ==> Y }.
% 70.04/70.48 parent1[1; 1]: (120692) {G0,W10,D4,L2,V2,M2} { ! X = Y, skol1(
% 70.04/70.48 unordered_pair( X, Y ), empty_set ) ==> Y }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := Y
% 70.04/70.48 Y := X
% 70.04/70.48 end
% 70.04/70.48 substitution1:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 factor: (120697) {G1,W6,D2,L2,V2,M2} { X ==> Y, ! X = Y }.
% 70.04/70.48 parent0[1, 2]: (120694) {G1,W9,D2,L3,V2,M3} { X ==> Y, ! X = Y, ! X = Y
% 70.04/70.48 }.
% 70.04/70.48 substitution0:
% 70.04/70.48 X := X
% 70.04/70.48 Y := Y
% 70.04/70.48 end
% 70.04/70.48
% 70.04/70.48 subsumption: (7629) {G5,W6,D2,L2,V2,M2} E(7613);Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------