TSTP Solution File: SET655+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET655+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 22:51:11 EDT 2022
% Result : Theorem 26.53s 26.97s
% Output : Refutation 26.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET655+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 10 06:48:26 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.76/1.24 *** allocated 10000 integers for termspace/termends
% 0.76/1.24 *** allocated 10000 integers for clauses
% 0.76/1.24 *** allocated 10000 integers for justifications
% 0.76/1.24 Bliksem 1.12
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 Automatic Strategy Selection
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 Clauses:
% 0.76/1.24
% 0.76/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.76/1.24 set_type ), ! subset( X, Y ), ! subset( Y, Z ), subset( X, Z ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.76/1.24 set_type ), ! ilf_type( T, set_type ), ! subset( X, Y ), ! subset( Z, T )
% 0.76/1.24 , subset( cross_product( X, Z ), cross_product( Y, T ) ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.76/1.24 subset_type( cross_product( X, Y ) ) ), ilf_type( Z, relation_type( X, Y
% 0.76/1.24 ) ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.76/1.24 relation_type( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y )
% 0.76/1.24 ) ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol1( X
% 0.76/1.24 , Y ), relation_type( Y, X ) ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! subset( X, Y ), !
% 0.76/1.24 ilf_type( Z, set_type ), alpha1( X, Y, Z ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol2( Z
% 0.76/1.24 , T ), set_type ), subset( X, Y ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! alpha1( X, Y,
% 0.76/1.24 skol2( X, Y ) ), subset( X, Y ) }.
% 0.76/1.24 { ! alpha1( X, Y, Z ), ! member( Z, X ), member( Z, Y ) }.
% 0.76/1.24 { member( Z, X ), alpha1( X, Y, Z ) }.
% 0.76/1.24 { ! member( Z, Y ), alpha1( X, Y, Z ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type(
% 0.76/1.24 cross_product( X, Y ), set_type ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Y,
% 0.76/1.24 subset_type( X ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Y,
% 0.76/1.24 member_type( power_set( X ) ) ), ilf_type( Y, subset_type( X ) ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ilf_type( skol3( X ), subset_type( X ) ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), subset( X, X ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! member( X,
% 0.76/1.24 power_set( Y ) ), ! ilf_type( Z, set_type ), alpha2( X, Y, Z ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol4( Z
% 0.76/1.24 , T ), set_type ), member( X, power_set( Y ) ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! alpha2( X, Y,
% 0.76/1.24 skol4( X, Y ) ), member( X, power_set( Y ) ) }.
% 0.76/1.24 { ! alpha2( X, Y, Z ), ! member( Z, X ), member( Z, Y ) }.
% 0.76/1.24 { member( Z, X ), alpha2( X, Y, Z ) }.
% 0.76/1.24 { ! member( Z, Y ), alpha2( X, Y, Z ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! empty( power_set( X ) ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ilf_type( power_set( X ), set_type ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), empty( Y ), ! ilf_type( Y, set_type ), !
% 0.76/1.24 ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), empty( Y ), ! ilf_type( Y, set_type ), !
% 0.76/1.24 member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 0.76/1.24 { empty( X ), ! ilf_type( X, set_type ), ilf_type( skol5( X ), member_type
% 0.76/1.24 ( X ) ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! empty( X ), ! ilf_type( Y, set_type ), !
% 0.76/1.24 member( Y, X ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ilf_type( skol6( Y ), set_type ), empty( X ) }
% 0.76/1.24 .
% 0.76/1.24 { ! ilf_type( X, set_type ), member( skol6( X ), X ), empty( X ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! relation_like( X ), ! ilf_type( Y, set_type
% 0.76/1.24 ), alpha4( X, Y ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ilf_type( skol7( Y ), set_type ),
% 0.76/1.24 relation_like( X ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! alpha4( X, skol7( X ) ), relation_like( X )
% 0.76/1.24 }.
% 0.76/1.24 { ! alpha4( X, Y ), ! member( Y, X ), alpha3( Y ) }.
% 0.76/1.24 { member( Y, X ), alpha4( X, Y ) }.
% 0.76/1.24 { ! alpha3( Y ), alpha4( X, Y ) }.
% 0.76/1.24 { ! alpha3( X ), ilf_type( skol8( Y ), set_type ) }.
% 0.76/1.24 { ! alpha3( X ), alpha5( X, skol8( X ) ) }.
% 0.76/1.24 { ! ilf_type( Y, set_type ), ! alpha5( X, Y ), alpha3( X ) }.
% 0.76/1.24 { ! alpha5( X, Y ), ilf_type( skol9( Z, T ), set_type ) }.
% 0.76/1.24 { ! alpha5( X, Y ), X = ordered_pair( Y, skol9( X, Y ) ) }.
% 0.76/1.24 { ! ilf_type( Z, set_type ), ! X = ordered_pair( Y, Z ), alpha5( X, Y ) }.
% 0.76/1.24 { ! empty( X ), ! ilf_type( X, set_type ), relation_like( X ) }.
% 0.76/1.24 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.76/1.24 subset_type( cross_product( X, Y ) ) ), relation_like( Z ) }.
% 6.46/6.91 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type(
% 6.46/6.91 ordered_pair( X, Y ), set_type ) }.
% 6.46/6.91 { ilf_type( X, set_type ) }.
% 6.46/6.91 { ilf_type( skol10, set_type ) }.
% 6.46/6.91 { ilf_type( skol11, set_type ) }.
% 6.46/6.91 { ilf_type( skol12, set_type ) }.
% 6.46/6.91 { ilf_type( skol13, set_type ) }.
% 6.46/6.91 { ilf_type( skol14, relation_type( skol10, skol12 ) ) }.
% 6.46/6.91 { subset( skol10, skol11 ) }.
% 6.46/6.91 { subset( skol12, skol13 ) }.
% 6.46/6.91 { ! ilf_type( skol14, relation_type( skol11, skol13 ) ) }.
% 6.46/6.91
% 6.46/6.91 percentage equality = 0.012821, percentage horn = 0.796296
% 6.46/6.91 This is a problem with some equality
% 6.46/6.91
% 6.46/6.91
% 6.46/6.91
% 6.46/6.91 Options Used:
% 6.46/6.91
% 6.46/6.91 useres = 1
% 6.46/6.91 useparamod = 1
% 6.46/6.91 useeqrefl = 1
% 6.46/6.91 useeqfact = 1
% 6.46/6.91 usefactor = 1
% 6.46/6.91 usesimpsplitting = 0
% 6.46/6.91 usesimpdemod = 5
% 6.46/6.91 usesimpres = 3
% 6.46/6.91
% 6.46/6.91 resimpinuse = 1000
% 6.46/6.91 resimpclauses = 20000
% 6.46/6.91 substype = eqrewr
% 6.46/6.91 backwardsubs = 1
% 6.46/6.91 selectoldest = 5
% 6.46/6.91
% 6.46/6.91 litorderings [0] = split
% 6.46/6.91 litorderings [1] = extend the termordering, first sorting on arguments
% 6.46/6.91
% 6.46/6.91 termordering = kbo
% 6.46/6.91
% 6.46/6.91 litapriori = 0
% 6.46/6.91 termapriori = 1
% 6.46/6.91 litaposteriori = 0
% 6.46/6.91 termaposteriori = 0
% 6.46/6.91 demodaposteriori = 0
% 6.46/6.91 ordereqreflfact = 0
% 6.46/6.91
% 6.46/6.91 litselect = negord
% 6.46/6.91
% 6.46/6.91 maxweight = 15
% 6.46/6.91 maxdepth = 30000
% 6.46/6.91 maxlength = 115
% 6.46/6.91 maxnrvars = 195
% 6.46/6.91 excuselevel = 1
% 6.46/6.91 increasemaxweight = 1
% 6.46/6.91
% 6.46/6.91 maxselected = 10000000
% 6.46/6.91 maxnrclauses = 10000000
% 6.46/6.91
% 6.46/6.91 showgenerated = 0
% 6.46/6.91 showkept = 0
% 6.46/6.91 showselected = 0
% 6.46/6.91 showdeleted = 0
% 6.46/6.91 showresimp = 1
% 6.46/6.91 showstatus = 2000
% 6.46/6.91
% 6.46/6.91 prologoutput = 0
% 6.46/6.91 nrgoals = 5000000
% 6.46/6.91 totalproof = 1
% 6.46/6.91
% 6.46/6.91 Symbols occurring in the translation:
% 6.46/6.91
% 6.46/6.91 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.46/6.91 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 6.46/6.91 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 6.46/6.91 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.46/6.91 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.46/6.91 set_type [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 6.46/6.91 ilf_type [37, 2] (w:1, o:57, a:1, s:1, b:0),
% 6.46/6.91 subset [40, 2] (w:1, o:59, a:1, s:1, b:0),
% 6.46/6.91 cross_product [42, 2] (w:1, o:60, a:1, s:1, b:0),
% 6.46/6.91 subset_type [43, 1] (w:1, o:23, a:1, s:1, b:0),
% 6.46/6.91 relation_type [44, 2] (w:1, o:58, a:1, s:1, b:0),
% 6.46/6.91 member [45, 2] (w:1, o:61, a:1, s:1, b:0),
% 6.46/6.91 power_set [46, 1] (w:1, o:24, a:1, s:1, b:0),
% 6.46/6.91 member_type [47, 1] (w:1, o:25, a:1, s:1, b:0),
% 6.46/6.91 empty [48, 1] (w:1, o:26, a:1, s:1, b:0),
% 6.46/6.91 relation_like [49, 1] (w:1, o:22, a:1, s:1, b:0),
% 6.46/6.91 ordered_pair [50, 2] (w:1, o:62, a:1, s:1, b:0),
% 6.46/6.91 alpha1 [52, 3] (w:1, o:69, a:1, s:1, b:1),
% 6.46/6.91 alpha2 [53, 3] (w:1, o:70, a:1, s:1, b:1),
% 6.46/6.91 alpha3 [54, 1] (w:1, o:27, a:1, s:1, b:1),
% 6.46/6.91 alpha4 [55, 2] (w:1, o:63, a:1, s:1, b:1),
% 6.46/6.91 alpha5 [56, 2] (w:1, o:64, a:1, s:1, b:1),
% 6.46/6.91 skol1 [57, 2] (w:1, o:65, a:1, s:1, b:1),
% 6.46/6.91 skol2 [58, 2] (w:1, o:66, a:1, s:1, b:1),
% 6.46/6.91 skol3 [59, 1] (w:1, o:28, a:1, s:1, b:1),
% 6.46/6.91 skol4 [60, 2] (w:1, o:67, a:1, s:1, b:1),
% 6.46/6.91 skol5 [61, 1] (w:1, o:29, a:1, s:1, b:1),
% 6.46/6.91 skol6 [62, 1] (w:1, o:30, a:1, s:1, b:1),
% 6.46/6.91 skol7 [63, 1] (w:1, o:31, a:1, s:1, b:1),
% 6.46/6.91 skol8 [64, 1] (w:1, o:32, a:1, s:1, b:1),
% 6.46/6.91 skol9 [65, 2] (w:1, o:68, a:1, s:1, b:1),
% 6.46/6.91 skol10 [66, 0] (w:1, o:12, a:1, s:1, b:1),
% 6.46/6.91 skol11 [67, 0] (w:1, o:13, a:1, s:1, b:1),
% 6.46/6.91 skol12 [68, 0] (w:1, o:14, a:1, s:1, b:1),
% 6.46/6.91 skol13 [69, 0] (w:1, o:15, a:1, s:1, b:1),
% 6.46/6.91 skol14 [70, 0] (w:1, o:16, a:1, s:1, b:1).
% 6.46/6.91
% 6.46/6.91
% 6.46/6.91 Starting Search:
% 6.46/6.91
% 6.46/6.91 *** allocated 15000 integers for clauses
% 6.46/6.91 *** allocated 22500 integers for clauses
% 6.46/6.91 *** allocated 33750 integers for clauses
% 6.46/6.91 *** allocated 50625 integers for clauses
% 6.46/6.91 *** allocated 15000 integers for termspace/termends
% 6.46/6.91 Resimplifying inuse:
% 6.46/6.91 Done
% 6.46/6.91
% 6.46/6.91 *** allocated 75937 integers for clauses
% 6.46/6.91 *** allocated 22500 integers for termspace/termends
% 6.46/6.91 *** allocated 113905 integers for clauses
% 6.46/6.91 *** allocated 33750 integers for termspace/termends
% 6.46/6.91
% 6.46/6.91 Intermediate Status:
% 6.46/6.91 Generated: 6057
% 6.46/6.91 Kept: 2010
% 6.46/6.91 Inuse: 311
% 6.46/6.91 Deleted: 101
% 6.46/6.91 Deletedinuse: 20
% 6.46/6.91
% 6.46/6.91 Resimplifying inuse:
% 6.46/6.91 Done
% 6.46/6.91
% 6.46/6.91 *** allocated 50625 integers for termspace/termends
% 6.46/6.91 *** allocated 170857 integers for clauses
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 12846
% 23.11/23.50 Kept: 4035
% 23.11/23.50 Inuse: 439
% 23.11/23.50 Deleted: 103
% 23.11/23.50 Deletedinuse: 20
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 *** allocated 75937 integers for termspace/termends
% 23.11/23.50 *** allocated 256285 integers for clauses
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 *** allocated 113905 integers for termspace/termends
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 17940
% 23.11/23.50 Kept: 6059
% 23.11/23.50 Inuse: 522
% 23.11/23.50 Deleted: 105
% 23.11/23.50 Deletedinuse: 20
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 *** allocated 384427 integers for clauses
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 22824
% 23.11/23.50 Kept: 8107
% 23.11/23.50 Inuse: 614
% 23.11/23.50 Deleted: 113
% 23.11/23.50 Deletedinuse: 21
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 *** allocated 170857 integers for termspace/termends
% 23.11/23.50 *** allocated 576640 integers for clauses
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 27257
% 23.11/23.50 Kept: 10142
% 23.11/23.50 Inuse: 665
% 23.11/23.50 Deleted: 113
% 23.11/23.50 Deletedinuse: 21
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 32520
% 23.11/23.50 Kept: 12151
% 23.11/23.50 Inuse: 756
% 23.11/23.50 Deleted: 125
% 23.11/23.50 Deletedinuse: 21
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 *** allocated 256285 integers for termspace/termends
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 37407
% 23.11/23.50 Kept: 14153
% 23.11/23.50 Inuse: 819
% 23.11/23.50 Deleted: 133
% 23.11/23.50 Deletedinuse: 21
% 23.11/23.50
% 23.11/23.50 *** allocated 864960 integers for clauses
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 42217
% 23.11/23.50 Kept: 16158
% 23.11/23.50 Inuse: 891
% 23.11/23.50 Deleted: 141
% 23.11/23.50 Deletedinuse: 21
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 47958
% 23.11/23.50 Kept: 18171
% 23.11/23.50 Inuse: 988
% 23.11/23.50 Deleted: 156
% 23.11/23.50 Deletedinuse: 32
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying clauses:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 53326
% 23.11/23.50 Kept: 20195
% 23.11/23.50 Inuse: 1059
% 23.11/23.50 Deleted: 912
% 23.11/23.50 Deletedinuse: 32
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 *** allocated 384427 integers for termspace/termends
% 23.11/23.50 *** allocated 1297440 integers for clauses
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 58574
% 23.11/23.50 Kept: 22217
% 23.11/23.50 Inuse: 1134
% 23.11/23.50 Deleted: 912
% 23.11/23.50 Deletedinuse: 32
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 64212
% 23.11/23.50 Kept: 24378
% 23.11/23.50 Inuse: 1172
% 23.11/23.50 Deleted: 912
% 23.11/23.50 Deletedinuse: 32
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 70628
% 23.11/23.50 Kept: 26383
% 23.11/23.50 Inuse: 1247
% 23.11/23.50 Deleted: 912
% 23.11/23.50 Deletedinuse: 32
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 74310
% 23.11/23.50 Kept: 28416
% 23.11/23.50 Inuse: 1287
% 23.11/23.50 Deleted: 912
% 23.11/23.50 Deletedinuse: 32
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 77965
% 23.11/23.50 Kept: 30451
% 23.11/23.50 Inuse: 1331
% 23.11/23.50 Deleted: 912
% 23.11/23.50 Deletedinuse: 32
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 *** allocated 576640 integers for termspace/termends
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 *** allocated 1946160 integers for clauses
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 84907
% 23.11/23.50 Kept: 32550
% 23.11/23.50 Inuse: 1407
% 23.11/23.50 Deleted: 912
% 23.11/23.50 Deletedinuse: 32
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 90764
% 23.11/23.50 Kept: 34558
% 23.11/23.50 Inuse: 1498
% 23.11/23.50 Deleted: 912
% 23.11/23.50 Deletedinuse: 32
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 94553
% 23.11/23.50 Kept: 36601
% 23.11/23.50 Inuse: 1523
% 23.11/23.50 Deleted: 912
% 23.11/23.50 Deletedinuse: 32
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 100597
% 23.11/23.50 Kept: 38621
% 23.11/23.50 Inuse: 1587
% 23.11/23.50 Deleted: 912
% 23.11/23.50 Deletedinuse: 32
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying clauses:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 106851
% 23.11/23.50 Kept: 40700
% 23.11/23.50 Inuse: 1656
% 23.11/23.50 Deleted: 1091
% 23.11/23.50 Deletedinuse: 32
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50
% 23.11/23.50 Intermediate Status:
% 23.11/23.50 Generated: 113696
% 23.11/23.50 Kept: 42721
% 23.11/23.50 Inuse: 1702
% 23.11/23.50 Deleted: 1091
% 23.11/23.50 Deletedinuse: 32
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 23.11/23.50
% 23.11/23.50 Resimplifying inuse:
% 23.11/23.50 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 121063
% 26.53/26.97 Kept: 44826
% 26.53/26.97 Inuse: 1735
% 26.53/26.97 Deleted: 1091
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 *** allocated 864960 integers for termspace/termends
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 126007
% 26.53/26.97 Kept: 46968
% 26.53/26.97 Inuse: 1769
% 26.53/26.97 Deleted: 1091
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 *** allocated 2919240 integers for clauses
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 131922
% 26.53/26.97 Kept: 48972
% 26.53/26.97 Inuse: 1838
% 26.53/26.97 Deleted: 1091
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 136559
% 26.53/26.97 Kept: 50982
% 26.53/26.97 Inuse: 1878
% 26.53/26.97 Deleted: 1091
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 142666
% 26.53/26.97 Kept: 53061
% 26.53/26.97 Inuse: 1932
% 26.53/26.97 Deleted: 1091
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 147830
% 26.53/26.97 Kept: 55237
% 26.53/26.97 Inuse: 1966
% 26.53/26.97 Deleted: 1091
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 153768
% 26.53/26.97 Kept: 57299
% 26.53/26.97 Inuse: 2002
% 26.53/26.97 Deleted: 1091
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 159729
% 26.53/26.97 Kept: 59378
% 26.53/26.97 Inuse: 2038
% 26.53/26.97 Deleted: 1091
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying clauses:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 166130
% 26.53/26.97 Kept: 61436
% 26.53/26.97 Inuse: 2074
% 26.53/26.97 Deleted: 1354
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 172629
% 26.53/26.97 Kept: 63444
% 26.53/26.97 Inuse: 2136
% 26.53/26.97 Deleted: 1354
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 180119
% 26.53/26.97 Kept: 65592
% 26.53/26.97 Inuse: 2199
% 26.53/26.97 Deleted: 1354
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 185755
% 26.53/26.97 Kept: 67755
% 26.53/26.97 Inuse: 2242
% 26.53/26.97 Deleted: 1354
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 *** allocated 1297440 integers for termspace/termends
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 191487
% 26.53/26.97 Kept: 69778
% 26.53/26.97 Inuse: 2284
% 26.53/26.97 Deleted: 1354
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 195975
% 26.53/26.97 Kept: 71850
% 26.53/26.97 Inuse: 2305
% 26.53/26.97 Deleted: 1354
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 *** allocated 4378860 integers for clauses
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 200592
% 26.53/26.97 Kept: 73901
% 26.53/26.97 Inuse: 2328
% 26.53/26.97 Deleted: 1354
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 207509
% 26.53/26.97 Kept: 75907
% 26.53/26.97 Inuse: 2385
% 26.53/26.97 Deleted: 1354
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 213029
% 26.53/26.97 Kept: 77988
% 26.53/26.97 Inuse: 2431
% 26.53/26.97 Deleted: 1354
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 217625
% 26.53/26.97 Kept: 79991
% 26.53/26.97 Inuse: 2459
% 26.53/26.97 Deleted: 1354
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying clauses:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 222363
% 26.53/26.97 Kept: 82034
% 26.53/26.97 Inuse: 2488
% 26.53/26.97 Deleted: 1485
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 228278
% 26.53/26.97 Kept: 84131
% 26.53/26.97 Inuse: 2523
% 26.53/26.97 Deleted: 1485
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 236482
% 26.53/26.97 Kept: 86338
% 26.53/26.97 Inuse: 2577
% 26.53/26.97 Deleted: 1485
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 242410
% 26.53/26.97 Kept: 88371
% 26.53/26.97 Inuse: 2613
% 26.53/26.97 Deleted: 1485
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 249693
% 26.53/26.97 Kept: 90529
% 26.53/26.97 Inuse: 2657
% 26.53/26.97 Deleted: 1485
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 255752
% 26.53/26.97 Kept: 92550
% 26.53/26.97 Inuse: 2683
% 26.53/26.97 Deleted: 1485
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 260609
% 26.53/26.97 Kept: 94606
% 26.53/26.97 Inuse: 2701
% 26.53/26.97 Deleted: 1485
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 266618
% 26.53/26.97 Kept: 96612
% 26.53/26.97 Inuse: 2719
% 26.53/26.97 Deleted: 1485
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Intermediate Status:
% 26.53/26.97 Generated: 274878
% 26.53/26.97 Kept: 98633
% 26.53/26.97 Inuse: 2779
% 26.53/26.97 Deleted: 1485
% 26.53/26.97 Deletedinuse: 32
% 26.53/26.97
% 26.53/26.97 Resimplifying inuse:
% 26.53/26.97 Done
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Bliksems!, er is een bewijs:
% 26.53/26.97 % SZS status Theorem
% 26.53/26.97 % SZS output start Refutation
% 26.53/26.97
% 26.53/26.97 (0) {G0,W18,D2,L6,V3,M6} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! ilf_type( Z, set_type ), ! subset( X, Y ), ! subset( Y, Z )
% 26.53/26.97 , subset( X, Z ) }.
% 26.53/26.97 (1) {G0,W25,D3,L7,V4,M7} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T, set_type ), !
% 26.53/26.97 subset( X, Y ), ! subset( Z, T ), subset( cross_product( X, Z ),
% 26.53/26.97 cross_product( Y, T ) ) }.
% 26.53/26.97 (2) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 26.53/26.97 ilf_type( Z, relation_type( X, Y ) ) }.
% 26.53/26.97 (3) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z,
% 26.53/26.97 subset_type( cross_product( X, Y ) ) ) }.
% 26.53/26.97 (5) {G0,W16,D2,L5,V3,M5} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! subset( X, Y ), ! ilf_type( Z, set_type ), alpha1( X, Y, Z
% 26.53/26.97 ) }.
% 26.53/26.97 (7) {G0,W15,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! alpha1( X, Y, skol2( X, Y ) ), subset( X, Y ) }.
% 26.53/26.97 (8) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), ! member( Z, X ), member
% 26.53/26.97 ( Z, Y ) }.
% 26.53/26.97 (9) {G0,W7,D2,L2,V3,M2} I { member( Z, X ), alpha1( X, Y, Z ) }.
% 26.53/26.97 (10) {G0,W7,D2,L2,V3,M2} I { ! member( Z, Y ), alpha1( X, Y, Z ) }.
% 26.53/26.97 (12) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type(
% 26.53/26.97 power_set( X ) ) ) }.
% 26.53/26.97 (13) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ), ilf_type( Y,
% 26.53/26.97 subset_type( X ) ) }.
% 26.53/26.97 (16) {G0,W17,D3,L5,V3,M5} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z, set_type ),
% 26.53/26.97 alpha2( X, Y, Z ) }.
% 26.53/26.97 (18) {G0,W16,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! alpha2( X, Y, skol4( X, Y ) ), member( X, power_set( Y ) )
% 26.53/26.97 }.
% 26.53/26.97 (19) {G0,W10,D2,L3,V3,M3} I { ! alpha2( X, Y, Z ), ! member( Z, X ), member
% 26.53/26.97 ( Z, Y ) }.
% 26.53/26.97 (20) {G0,W7,D2,L2,V3,M2} I { member( Z, X ), alpha2( X, Y, Z ) }.
% 26.53/26.97 (21) {G0,W7,D2,L2,V3,M2} I { ! member( Z, Y ), alpha2( X, Y, Z ) }.
% 26.53/26.97 (22) {G0,W6,D3,L2,V1,M2} I { ! ilf_type( X, set_type ), ! empty( power_set
% 26.53/26.97 ( X ) ) }.
% 26.53/26.97 (24) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty( Y ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y
% 26.53/26.97 ) }.
% 26.53/26.97 (25) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty( Y ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X, member_type( Y )
% 26.53/26.97 ) }.
% 26.53/26.97 (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.97 (46) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol14, relation_type( skol10,
% 26.53/26.97 skol12 ) ) }.
% 26.53/26.97 (47) {G0,W3,D2,L1,V0,M1} I { subset( skol10, skol11 ) }.
% 26.53/26.97 (48) {G0,W3,D2,L1,V0,M1} I { subset( skol12, skol13 ) }.
% 26.53/26.97 (49) {G0,W5,D3,L1,V0,M1} I { ! ilf_type( skol14, relation_type( skol11,
% 26.53/26.97 skol13 ) ) }.
% 26.53/26.97 (83) {G1,W9,D2,L3,V3,M3} S(0);r(45);r(45);r(45) { ! subset( X, Y ), !
% 26.53/26.97 subset( Y, Z ), subset( X, Z ) }.
% 26.53/26.97 (84) {G1,W13,D3,L3,V4,M3} S(1);r(45);r(45);r(45);r(45) { ! subset( X, Y ),
% 26.53/26.97 ! subset( Z, T ), subset( cross_product( X, Z ), cross_product( Y, T ) )
% 26.53/26.97 }.
% 26.53/26.97 (87) {G1,W11,D4,L2,V3,M2} S(2);r(45);r(45) { ! ilf_type( Z, subset_type(
% 26.53/26.97 cross_product( X, Y ) ) ), ilf_type( Z, relation_type( X, Y ) ) }.
% 26.53/26.97 (88) {G1,W3,D3,L1,V1,M1} S(22);r(45) { ! empty( power_set( X ) ) }.
% 26.53/26.97 (89) {G1,W11,D4,L2,V3,M2} S(3);r(45);r(45) { ! ilf_type( Z, relation_type(
% 26.53/26.97 X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y ) ) ) }.
% 26.53/26.97 (101) {G1,W7,D2,L2,V3,M2} S(5);r(45);r(45);r(45) { ! subset( X, Y ), alpha1
% 26.53/26.97 ( X, Y, Z ) }.
% 26.53/26.97 (105) {G1,W9,D3,L2,V2,M2} S(7);r(45);r(45) { ! alpha1( X, Y, skol2( X, Y )
% 26.53/26.97 ), subset( X, Y ) }.
% 26.53/26.97 (112) {G1,W11,D2,L3,V4,M3} R(8,20) { ! alpha1( X, Y, Z ), member( Z, Y ),
% 26.53/26.97 alpha2( X, T, Z ) }.
% 26.53/26.97 (143) {G1,W9,D4,L2,V2,M2} S(12);r(45);r(45) { ! ilf_type( Y, subset_type( X
% 26.53/26.97 ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 26.53/26.97 (147) {G1,W9,D4,L2,V2,M2} S(13);r(45);r(45) { ! ilf_type( Y, member_type(
% 26.53/26.97 power_set( X ) ) ), ilf_type( Y, subset_type( X ) ) }.
% 26.53/26.97 (158) {G1,W8,D3,L2,V3,M2} S(16);r(45);r(45);r(45) { ! member( X, power_set
% 26.53/26.97 ( Y ) ), alpha2( X, Y, Z ) }.
% 26.53/26.97 (168) {G1,W10,D3,L2,V2,M2} S(18);r(45);r(45) { ! alpha2( X, Y, skol4( X, Y
% 26.53/26.97 ) ), member( X, power_set( Y ) ) }.
% 26.53/26.97 (188) {G1,W11,D2,L3,V4,M3} R(19,9) { ! alpha2( X, Y, Z ), member( Z, Y ),
% 26.53/26.97 alpha1( X, T, Z ) }.
% 26.53/26.97 (194) {G1,W9,D3,L3,V2,M3} S(24);r(45);r(45) { empty( Y ), ! ilf_type( X,
% 26.53/26.97 member_type( Y ) ), member( X, Y ) }.
% 26.53/26.97 (201) {G1,W9,D3,L3,V2,M3} S(25);r(45);r(45) { empty( Y ), ! member( X, Y )
% 26.53/26.97 , ilf_type( X, member_type( Y ) ) }.
% 26.53/26.97 (966) {G2,W6,D4,L1,V0,M1} R(87,49) { ! ilf_type( skol14, subset_type(
% 26.53/26.97 cross_product( skol11, skol13 ) ) ) }.
% 26.53/26.97 (974) {G2,W6,D4,L1,V0,M1} R(89,46) { ilf_type( skol14, subset_type(
% 26.53/26.97 cross_product( skol10, skol12 ) ) ) }.
% 26.53/26.97 (1565) {G2,W12,D2,L3,V5,M3} R(112,21) { ! alpha1( X, Y, Z ), alpha2( X, T,
% 26.53/26.97 Z ), alpha2( U, Y, Z ) }.
% 26.53/26.97 (1566) {G3,W8,D2,L2,V3,M2} F(1565) { ! alpha1( X, Y, Z ), alpha2( X, Y, Z )
% 26.53/26.97 }.
% 26.53/26.97 (1674) {G4,W7,D2,L2,V3,M2} R(1566,101) { alpha2( X, Y, Z ), ! subset( X, Y
% 26.53/26.97 ) }.
% 26.53/26.97 (2138) {G3,W7,D5,L1,V0,M1} R(143,974) { ilf_type( skol14, member_type(
% 26.53/26.97 power_set( cross_product( skol10, skol12 ) ) ) ) }.
% 26.53/26.97 (2183) {G3,W7,D5,L1,V0,M1} R(147,966) { ! ilf_type( skol14, member_type(
% 26.53/26.97 power_set( cross_product( skol11, skol13 ) ) ) ) }.
% 26.53/26.97 (2803) {G5,W7,D3,L2,V2,M2} R(168,1674) { member( X, power_set( Y ) ), !
% 26.53/26.97 subset( X, Y ) }.
% 26.53/26.97 (4858) {G2,W12,D2,L3,V5,M3} R(188,10) { ! alpha2( X, Y, Z ), alpha1( X, T,
% 26.53/26.97 Z ), alpha1( U, Y, Z ) }.
% 26.53/26.97 (4860) {G3,W8,D2,L2,V3,M2} F(4858) { ! alpha2( X, Y, Z ), alpha1( X, Y, Z )
% 26.53/26.97 }.
% 26.53/26.97 (5451) {G4,W6,D4,L1,V0,M1} R(194,2138);r(88) { member( skol14, power_set(
% 26.53/26.97 cross_product( skol10, skol12 ) ) ) }.
% 26.53/26.97 (5715) {G4,W6,D4,L1,V0,M1} R(201,2183);r(88) { ! member( skol14, power_set
% 26.53/26.97 ( cross_product( skol11, skol13 ) ) ) }.
% 26.53/26.97 (7344) {G6,W5,D3,L1,V0,M1} R(5715,2803) { ! subset( skol14, cross_product(
% 26.53/26.97 skol11, skol13 ) ) }.
% 26.53/26.97 (8013) {G5,W6,D3,L1,V1,M1} R(5451,158) { alpha2( skol14, cross_product(
% 26.53/26.97 skol10, skol12 ), X ) }.
% 26.53/26.97 (8113) {G6,W6,D3,L1,V1,M1} R(8013,4860) { alpha1( skol14, cross_product(
% 26.53/26.97 skol10, skol12 ), X ) }.
% 26.53/26.97 (8120) {G7,W5,D3,L1,V0,M1} R(8113,105) { subset( skol14, cross_product(
% 26.53/26.97 skol10, skol12 ) ) }.
% 26.53/26.97 (8124) {G8,W8,D3,L2,V1,M2} R(8120,83) { ! subset( cross_product( skol10,
% 26.53/26.97 skol12 ), X ), subset( skol14, X ) }.
% 26.53/26.97 (99642) {G9,W7,D3,L1,V0,M1} R(8124,7344) { ! subset( cross_product( skol10
% 26.53/26.97 , skol12 ), cross_product( skol11, skol13 ) ) }.
% 26.53/26.97 (99676) {G10,W3,D2,L1,V0,M1} R(99642,84);r(47) { ! subset( skol12, skol13 )
% 26.53/26.97 }.
% 26.53/26.97 (99692) {G11,W0,D0,L0,V0,M0} S(99676);r(48) { }.
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 % SZS output end Refutation
% 26.53/26.97 found a proof!
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Unprocessed initial clauses:
% 26.53/26.97
% 26.53/26.97 (99694) {G0,W18,D2,L6,V3,M6} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! ilf_type( Z, set_type ), ! subset( X, Y ), ! subset( Y, Z )
% 26.53/26.97 , subset( X, Z ) }.
% 26.53/26.97 (99695) {G0,W25,D3,L7,V4,M7} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T, set_type ), !
% 26.53/26.97 subset( X, Y ), ! subset( Z, T ), subset( cross_product( X, Z ),
% 26.53/26.97 cross_product( Y, T ) ) }.
% 26.53/26.97 (99696) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 26.53/26.97 ilf_type( Z, relation_type( X, Y ) ) }.
% 26.53/26.97 (99697) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z,
% 26.53/26.97 subset_type( cross_product( X, Y ) ) ) }.
% 26.53/26.97 (99698) {G0,W13,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ilf_type( skol1( X, Y ), relation_type( Y, X ) ) }.
% 26.53/26.97 (99699) {G0,W16,D2,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! subset( X, Y ), ! ilf_type( Z, set_type ), alpha1( X, Y, Z
% 26.53/26.97 ) }.
% 26.53/26.97 (99700) {G0,W14,D3,L4,V4,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ilf_type( skol2( Z, T ), set_type ), subset( X, Y ) }.
% 26.53/26.97 (99701) {G0,W15,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! alpha1( X, Y, skol2( X, Y ) ), subset( X, Y ) }.
% 26.53/26.97 (99702) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), ! member( Z, X ),
% 26.53/26.97 member( Z, Y ) }.
% 26.53/26.97 (99703) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha1( X, Y, Z ) }.
% 26.53/26.97 (99704) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha1( X, Y, Z ) }.
% 26.53/26.97 (99705) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ilf_type( cross_product( X, Y ), set_type ) }.
% 26.53/26.97 (99706) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type(
% 26.53/26.97 power_set( X ) ) ) }.
% 26.53/26.97 (99707) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ), ilf_type( Y,
% 26.53/26.97 subset_type( X ) ) }.
% 26.53/26.97 (99708) {G0,W8,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type( skol3(
% 26.53/26.97 X ), subset_type( X ) ) }.
% 26.53/26.97 (99709) {G0,W6,D2,L2,V1,M2} { ! ilf_type( X, set_type ), subset( X, X )
% 26.53/26.97 }.
% 26.53/26.97 (99710) {G0,W17,D3,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z, set_type ),
% 26.53/26.97 alpha2( X, Y, Z ) }.
% 26.53/26.97 (99711) {G0,W15,D3,L4,V4,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ilf_type( skol4( Z, T ), set_type ), member( X, power_set( Y
% 26.53/26.97 ) ) }.
% 26.53/26.97 (99712) {G0,W16,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! alpha2( X, Y, skol4( X, Y ) ), member( X, power_set( Y ) )
% 26.53/26.97 }.
% 26.53/26.97 (99713) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Y, Z ), ! member( Z, X ),
% 26.53/26.97 member( Z, Y ) }.
% 26.53/26.97 (99714) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha2( X, Y, Z ) }.
% 26.53/26.97 (99715) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha2( X, Y, Z ) }.
% 26.53/26.97 (99716) {G0,W6,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ! empty(
% 26.53/26.97 power_set( X ) ) }.
% 26.53/26.97 (99717) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type(
% 26.53/26.97 power_set( X ), set_type ) }.
% 26.53/26.97 (99718) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y
% 26.53/26.97 ) }.
% 26.53/26.97 (99719) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X, member_type( Y )
% 26.53/26.97 ) }.
% 26.53/26.97 (99720) {G0,W10,D3,L3,V1,M3} { empty( X ), ! ilf_type( X, set_type ),
% 26.53/26.97 ilf_type( skol5( X ), member_type( X ) ) }.
% 26.53/26.97 (99721) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! empty( X ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! member( Y, X ) }.
% 26.53/26.97 (99722) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol6(
% 26.53/26.97 Y ), set_type ), empty( X ) }.
% 26.53/26.97 (99723) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), member( skol6( X
% 26.53/26.97 ), X ), empty( X ) }.
% 26.53/26.97 (99724) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! relation_like
% 26.53/26.97 ( X ), ! ilf_type( Y, set_type ), alpha4( X, Y ) }.
% 26.53/26.97 (99725) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol7(
% 26.53/26.97 Y ), set_type ), relation_like( X ) }.
% 26.53/26.97 (99726) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), ! alpha4( X,
% 26.53/26.97 skol7( X ) ), relation_like( X ) }.
% 26.53/26.97 (99727) {G0,W8,D2,L3,V2,M3} { ! alpha4( X, Y ), ! member( Y, X ), alpha3(
% 26.53/26.97 Y ) }.
% 26.53/26.97 (99728) {G0,W6,D2,L2,V2,M2} { member( Y, X ), alpha4( X, Y ) }.
% 26.53/26.97 (99729) {G0,W5,D2,L2,V2,M2} { ! alpha3( Y ), alpha4( X, Y ) }.
% 26.53/26.97 (99730) {G0,W6,D3,L2,V2,M2} { ! alpha3( X ), ilf_type( skol8( Y ),
% 26.53/26.97 set_type ) }.
% 26.53/26.97 (99731) {G0,W6,D3,L2,V1,M2} { ! alpha3( X ), alpha5( X, skol8( X ) ) }.
% 26.53/26.97 (99732) {G0,W8,D2,L3,V2,M3} { ! ilf_type( Y, set_type ), ! alpha5( X, Y )
% 26.53/26.97 , alpha3( X ) }.
% 26.53/26.97 (99733) {G0,W8,D3,L2,V4,M2} { ! alpha5( X, Y ), ilf_type( skol9( Z, T ),
% 26.53/26.97 set_type ) }.
% 26.53/26.97 (99734) {G0,W10,D4,L2,V2,M2} { ! alpha5( X, Y ), X = ordered_pair( Y,
% 26.53/26.97 skol9( X, Y ) ) }.
% 26.53/26.97 (99735) {G0,W11,D3,L3,V3,M3} { ! ilf_type( Z, set_type ), ! X =
% 26.53/26.97 ordered_pair( Y, Z ), alpha5( X, Y ) }.
% 26.53/26.97 (99736) {G0,W7,D2,L3,V1,M3} { ! empty( X ), ! ilf_type( X, set_type ),
% 26.53/26.97 relation_like( X ) }.
% 26.53/26.97 (99737) {G0,W14,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 26.53/26.97 relation_like( Z ) }.
% 26.53/26.97 (99738) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 26.53/26.97 set_type ), ilf_type( ordered_pair( X, Y ), set_type ) }.
% 26.53/26.97 (99739) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 26.53/26.97 (99740) {G0,W3,D2,L1,V0,M1} { ilf_type( skol10, set_type ) }.
% 26.53/26.97 (99741) {G0,W3,D2,L1,V0,M1} { ilf_type( skol11, set_type ) }.
% 26.53/26.97 (99742) {G0,W3,D2,L1,V0,M1} { ilf_type( skol12, set_type ) }.
% 26.53/26.97 (99743) {G0,W3,D2,L1,V0,M1} { ilf_type( skol13, set_type ) }.
% 26.53/26.97 (99744) {G0,W5,D3,L1,V0,M1} { ilf_type( skol14, relation_type( skol10,
% 26.53/26.97 skol12 ) ) }.
% 26.53/26.97 (99745) {G0,W3,D2,L1,V0,M1} { subset( skol10, skol11 ) }.
% 26.53/26.97 (99746) {G0,W3,D2,L1,V0,M1} { subset( skol12, skol13 ) }.
% 26.53/26.97 (99747) {G0,W5,D3,L1,V0,M1} { ! ilf_type( skol14, relation_type( skol11,
% 26.53/26.97 skol13 ) ) }.
% 26.53/26.97
% 26.53/26.97
% 26.53/26.97 Total Proof:
% 26.53/26.97
% 26.53/26.97 subsumption: (0) {G0,W18,D2,L6,V3,M6} I { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! subset( X, Y ), !
% 26.53/26.97 subset( Y, Z ), subset( X, Z ) }.
% 26.53/26.97 parent0: (99694) {G0,W18,D2,L6,V3,M6} { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! subset( X, Y ), !
% 26.53/26.97 subset( Y, Z ), subset( X, Z ) }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 Z := Z
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 2 ==> 2
% 26.53/26.97 3 ==> 3
% 26.53/26.97 4 ==> 4
% 26.53/26.97 5 ==> 5
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (1) {G0,W25,D3,L7,V4,M7} I { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T,
% 26.53/26.97 set_type ), ! subset( X, Y ), ! subset( Z, T ), subset( cross_product( X
% 26.53/26.97 , Z ), cross_product( Y, T ) ) }.
% 26.53/26.97 parent0: (99695) {G0,W25,D3,L7,V4,M7} { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T,
% 26.53/26.97 set_type ), ! subset( X, Y ), ! subset( Z, T ), subset( cross_product( X
% 26.53/26.97 , Z ), cross_product( Y, T ) ) }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 Z := Z
% 26.53/26.97 T := T
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 2 ==> 2
% 26.53/26.97 3 ==> 3
% 26.53/26.97 4 ==> 4
% 26.53/26.97 5 ==> 5
% 26.53/26.97 6 ==> 6
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (2) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y
% 26.53/26.97 ) ) ), ilf_type( Z, relation_type( X, Y ) ) }.
% 26.53/26.97 parent0: (99696) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y
% 26.53/26.97 ) ) ), ilf_type( Z, relation_type( X, Y ) ) }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 Z := Z
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 2 ==> 2
% 26.53/26.97 3 ==> 3
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (3) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type
% 26.53/26.97 ( Z, subset_type( cross_product( X, Y ) ) ) }.
% 26.53/26.97 parent0: (99697) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type
% 26.53/26.97 ( Z, subset_type( cross_product( X, Y ) ) ) }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 Z := Z
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 2 ==> 2
% 26.53/26.97 3 ==> 3
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (5) {G0,W16,D2,L5,V3,M5} I { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! subset( X, Y ), ! ilf_type( Z, set_type ),
% 26.53/26.97 alpha1( X, Y, Z ) }.
% 26.53/26.97 parent0: (99699) {G0,W16,D2,L5,V3,M5} { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! subset( X, Y ), ! ilf_type( Z, set_type ),
% 26.53/26.97 alpha1( X, Y, Z ) }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 Z := Z
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 2 ==> 2
% 26.53/26.97 3 ==> 3
% 26.53/26.97 4 ==> 4
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (7) {G0,W15,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! alpha1( X, Y, skol2( X, Y ) ), subset( X, Y )
% 26.53/26.97 }.
% 26.53/26.97 parent0: (99701) {G0,W15,D3,L4,V2,M4} { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! alpha1( X, Y, skol2( X, Y ) ), subset( X, Y )
% 26.53/26.97 }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 2 ==> 2
% 26.53/26.97 3 ==> 3
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (8) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), ! member( Z
% 26.53/26.97 , X ), member( Z, Y ) }.
% 26.53/26.97 parent0: (99702) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), ! member( Z,
% 26.53/26.97 X ), member( Z, Y ) }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 Z := Z
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 2 ==> 2
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (9) {G0,W7,D2,L2,V3,M2} I { member( Z, X ), alpha1( X, Y, Z )
% 26.53/26.97 }.
% 26.53/26.97 parent0: (99703) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha1( X, Y, Z )
% 26.53/26.97 }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 Z := Z
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (10) {G0,W7,D2,L2,V3,M2} I { ! member( Z, Y ), alpha1( X, Y, Z
% 26.53/26.97 ) }.
% 26.53/26.97 parent0: (99704) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha1( X, Y, Z )
% 26.53/26.97 }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 Z := Z
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (12) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y,
% 26.53/26.97 member_type( power_set( X ) ) ) }.
% 26.53/26.97 parent0: (99706) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y,
% 26.53/26.97 member_type( power_set( X ) ) ) }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 2 ==> 2
% 26.53/26.97 3 ==> 3
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (13) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ),
% 26.53/26.97 ilf_type( Y, subset_type( X ) ) }.
% 26.53/26.97 parent0: (99707) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ),
% 26.53/26.97 ilf_type( Y, subset_type( X ) ) }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 2 ==> 2
% 26.53/26.97 3 ==> 3
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (16) {G0,W17,D3,L5,V3,M5} I { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z,
% 26.53/26.97 set_type ), alpha2( X, Y, Z ) }.
% 26.53/26.97 parent0: (99710) {G0,W17,D3,L5,V3,M5} { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z,
% 26.53/26.97 set_type ), alpha2( X, Y, Z ) }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 Z := Z
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 2 ==> 2
% 26.53/26.97 3 ==> 3
% 26.53/26.97 4 ==> 4
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (18) {G0,W16,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! alpha2( X, Y, skol4( X, Y ) ), member( X,
% 26.53/26.97 power_set( Y ) ) }.
% 26.53/26.97 parent0: (99712) {G0,W16,D3,L4,V2,M4} { ! ilf_type( X, set_type ), !
% 26.53/26.97 ilf_type( Y, set_type ), ! alpha2( X, Y, skol4( X, Y ) ), member( X,
% 26.53/26.97 power_set( Y ) ) }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 2 ==> 2
% 26.53/26.97 3 ==> 3
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (19) {G0,W10,D2,L3,V3,M3} I { ! alpha2( X, Y, Z ), ! member( Z
% 26.53/26.97 , X ), member( Z, Y ) }.
% 26.53/26.97 parent0: (99713) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Y, Z ), ! member( Z,
% 26.53/26.97 X ), member( Z, Y ) }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 Z := Z
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 2 ==> 2
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (20) {G0,W7,D2,L2,V3,M2} I { member( Z, X ), alpha2( X, Y, Z )
% 26.53/26.97 }.
% 26.53/26.97 parent0: (99714) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha2( X, Y, Z )
% 26.53/26.97 }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 Z := Z
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (21) {G0,W7,D2,L2,V3,M2} I { ! member( Z, Y ), alpha2( X, Y, Z
% 26.53/26.97 ) }.
% 26.53/26.97 parent0: (99715) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha2( X, Y, Z )
% 26.53/26.97 }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 Y := Y
% 26.53/26.97 Z := Z
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.97 end
% 26.53/26.97
% 26.53/26.97 subsumption: (22) {G0,W6,D3,L2,V1,M2} I { ! ilf_type( X, set_type ), !
% 26.53/26.97 empty( power_set( X ) ) }.
% 26.53/26.97 parent0: (99716) {G0,W6,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ! empty
% 26.53/26.97 ( power_set( X ) ) }.
% 26.53/26.97 substitution0:
% 26.53/26.97 X := X
% 26.53/26.97 end
% 26.53/26.97 permutation0:
% 26.53/26.97 0 ==> 0
% 26.53/26.97 1 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (24) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty
% 26.53/26.98 ( Y ), ! ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ),
% 26.53/26.98 member( X, Y ) }.
% 26.53/26.98 parent0: (99718) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty(
% 26.53/26.98 Y ), ! ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member
% 26.53/26.98 ( X, Y ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 2 ==> 2
% 26.53/26.98 3 ==> 3
% 26.53/26.98 4 ==> 4
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (25) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty
% 26.53/26.98 ( Y ), ! ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X,
% 26.53/26.98 member_type( Y ) ) }.
% 26.53/26.98 parent0: (99719) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty(
% 26.53/26.98 Y ), ! ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X,
% 26.53/26.98 member_type( Y ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 2 ==> 2
% 26.53/26.98 3 ==> 3
% 26.53/26.98 4 ==> 4
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 *** allocated 1946160 integers for termspace/termends
% 26.53/26.98 subsumption: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 parent0: (99739) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (46) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol14, relation_type(
% 26.53/26.98 skol10, skol12 ) ) }.
% 26.53/26.98 parent0: (99744) {G0,W5,D3,L1,V0,M1} { ilf_type( skol14, relation_type(
% 26.53/26.98 skol10, skol12 ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (47) {G0,W3,D2,L1,V0,M1} I { subset( skol10, skol11 ) }.
% 26.53/26.98 parent0: (99745) {G0,W3,D2,L1,V0,M1} { subset( skol10, skol11 ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (48) {G0,W3,D2,L1,V0,M1} I { subset( skol12, skol13 ) }.
% 26.53/26.98 parent0: (99746) {G0,W3,D2,L1,V0,M1} { subset( skol12, skol13 ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (49) {G0,W5,D3,L1,V0,M1} I { ! ilf_type( skol14, relation_type
% 26.53/26.98 ( skol11, skol13 ) ) }.
% 26.53/26.98 parent0: (99747) {G0,W5,D3,L1,V0,M1} { ! ilf_type( skol14, relation_type(
% 26.53/26.98 skol11, skol13 ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (100612) {G1,W15,D2,L5,V3,M5} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 ilf_type( Z, set_type ), ! subset( X, Y ), ! subset( Y, Z ), subset( X, Z
% 26.53/26.98 ) }.
% 26.53/26.98 parent0[0]: (0) {G0,W18,D2,L6,V3,M6} I { ! ilf_type( X, set_type ), !
% 26.53/26.98 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! subset( X, Y ), !
% 26.53/26.98 subset( Y, Z ), subset( X, Z ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (100621) {G1,W12,D2,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 subset( Z, X ), ! subset( X, Y ), subset( Z, Y ) }.
% 26.53/26.98 parent0[0]: (100612) {G1,W15,D2,L5,V3,M5} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 ilf_type( Z, set_type ), ! subset( X, Y ), ! subset( Y, Z ), subset( X, Z
% 26.53/26.98 ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Z
% 26.53/26.98 Y := X
% 26.53/26.98 Z := Y
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (100624) {G1,W9,D2,L3,V3,M3} { ! subset( Y, Z ), ! subset( Z,
% 26.53/26.98 X ), subset( Y, X ) }.
% 26.53/26.98 parent0[0]: (100621) {G1,W12,D2,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 subset( Z, X ), ! subset( X, Y ), subset( Z, Y ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Z
% 26.53/26.98 Y := X
% 26.53/26.98 Z := Y
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (83) {G1,W9,D2,L3,V3,M3} S(0);r(45);r(45);r(45) { ! subset( X
% 26.53/26.98 , Y ), ! subset( Y, Z ), subset( X, Z ) }.
% 26.53/26.98 parent0: (100624) {G1,W9,D2,L3,V3,M3} { ! subset( Y, Z ), ! subset( Z, X )
% 26.53/26.98 , subset( Y, X ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Z
% 26.53/26.98 Y := X
% 26.53/26.98 Z := Y
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 2 ==> 2
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (100957) {G1,W22,D3,L6,V4,M6} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 ilf_type( Z, set_type ), ! ilf_type( T, set_type ), ! subset( X, Y ), !
% 26.53/26.98 subset( Z, T ), subset( cross_product( X, Z ), cross_product( Y, T ) )
% 26.53/26.98 }.
% 26.53/26.98 parent0[0]: (1) {G0,W25,D3,L7,V4,M7} I { ! ilf_type( X, set_type ), !
% 26.53/26.98 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T,
% 26.53/26.98 set_type ), ! subset( X, Y ), ! subset( Z, T ), subset( cross_product( X
% 26.53/26.98 , Z ), cross_product( Y, T ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 T := T
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101007) {G1,W19,D3,L5,V4,M5} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 ilf_type( Z, set_type ), ! subset( T, X ), ! subset( Y, Z ), subset(
% 26.53/26.98 cross_product( T, Y ), cross_product( X, Z ) ) }.
% 26.53/26.98 parent0[0]: (100957) {G1,W22,D3,L6,V4,M6} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 ilf_type( Z, set_type ), ! ilf_type( T, set_type ), ! subset( X, Y ), !
% 26.53/26.98 subset( Z, T ), subset( cross_product( X, Z ), cross_product( Y, T ) )
% 26.53/26.98 }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := T
% 26.53/26.98 Y := X
% 26.53/26.98 Z := Y
% 26.53/26.98 T := Z
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101018) {G1,W16,D3,L4,V4,M4} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 subset( Z, T ), ! subset( X, Y ), subset( cross_product( Z, X ),
% 26.53/26.98 cross_product( T, Y ) ) }.
% 26.53/26.98 parent0[0]: (101007) {G1,W19,D3,L5,V4,M5} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 ilf_type( Z, set_type ), ! subset( T, X ), ! subset( Y, Z ), subset(
% 26.53/26.98 cross_product( T, Y ), cross_product( X, Z ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := T
% 26.53/26.98 Y := X
% 26.53/26.98 Z := Y
% 26.53/26.98 T := Z
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101023) {G1,W13,D3,L3,V4,M3} { ! subset( Y, Z ), ! subset( T
% 26.53/26.98 , X ), subset( cross_product( Y, T ), cross_product( Z, X ) ) }.
% 26.53/26.98 parent0[0]: (101018) {G1,W16,D3,L4,V4,M4} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 subset( Z, T ), ! subset( X, Y ), subset( cross_product( Z, X ),
% 26.53/26.98 cross_product( T, Y ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := T
% 26.53/26.98 Y := X
% 26.53/26.98 Z := Y
% 26.53/26.98 T := Z
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (84) {G1,W13,D3,L3,V4,M3} S(1);r(45);r(45);r(45);r(45) { !
% 26.53/26.98 subset( X, Y ), ! subset( Z, T ), subset( cross_product( X, Z ),
% 26.53/26.98 cross_product( Y, T ) ) }.
% 26.53/26.98 parent0: (101023) {G1,W13,D3,L3,V4,M3} { ! subset( Y, Z ), ! subset( T, X
% 26.53/26.98 ), subset( cross_product( Y, T ), cross_product( Z, X ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := T
% 26.53/26.98 Y := X
% 26.53/26.98 Z := Y
% 26.53/26.98 T := Z
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 2 ==> 2
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101027) {G1,W14,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 ilf_type( Z, subset_type( cross_product( X, Y ) ) ), ilf_type( Z,
% 26.53/26.98 relation_type( X, Y ) ) }.
% 26.53/26.98 parent0[0]: (2) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 26.53/26.98 ilf_type( Y, set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y
% 26.53/26.98 ) ) ), ilf_type( Z, relation_type( X, Y ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101029) {G1,W11,D4,L2,V3,M2} { ! ilf_type( Y, subset_type(
% 26.53/26.98 cross_product( Z, X ) ) ), ilf_type( Y, relation_type( Z, X ) ) }.
% 26.53/26.98 parent0[0]: (101027) {G1,W14,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 ilf_type( Z, subset_type( cross_product( X, Y ) ) ), ilf_type( Z,
% 26.53/26.98 relation_type( X, Y ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Z
% 26.53/26.98 Y := X
% 26.53/26.98 Z := Y
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (87) {G1,W11,D4,L2,V3,M2} S(2);r(45);r(45) { ! ilf_type( Z,
% 26.53/26.98 subset_type( cross_product( X, Y ) ) ), ilf_type( Z, relation_type( X, Y
% 26.53/26.98 ) ) }.
% 26.53/26.98 parent0: (101029) {G1,W11,D4,L2,V3,M2} { ! ilf_type( Y, subset_type(
% 26.53/26.98 cross_product( Z, X ) ) ), ilf_type( Y, relation_type( Z, X ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := Z
% 26.53/26.98 Z := X
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101030) {G1,W3,D3,L1,V1,M1} { ! empty( power_set( X ) ) }.
% 26.53/26.98 parent0[0]: (22) {G0,W6,D3,L2,V1,M2} I { ! ilf_type( X, set_type ), ! empty
% 26.53/26.98 ( power_set( X ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (88) {G1,W3,D3,L1,V1,M1} S(22);r(45) { ! empty( power_set( X )
% 26.53/26.98 ) }.
% 26.53/26.98 parent0: (101030) {G1,W3,D3,L1,V1,M1} { ! empty( power_set( X ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101033) {G1,W14,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z, subset_type(
% 26.53/26.98 cross_product( X, Y ) ) ) }.
% 26.53/26.98 parent0[0]: (3) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 26.53/26.98 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type
% 26.53/26.98 ( Z, subset_type( cross_product( X, Y ) ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101035) {G1,W11,D4,L2,V3,M2} { ! ilf_type( Y, relation_type(
% 26.53/26.98 Z, X ) ), ilf_type( Y, subset_type( cross_product( Z, X ) ) ) }.
% 26.53/26.98 parent0[0]: (101033) {G1,W14,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z, subset_type(
% 26.53/26.98 cross_product( X, Y ) ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Z
% 26.53/26.98 Y := X
% 26.53/26.98 Z := Y
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (89) {G1,W11,D4,L2,V3,M2} S(3);r(45);r(45) { ! ilf_type( Z,
% 26.53/26.98 relation_type( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y )
% 26.53/26.98 ) ) }.
% 26.53/26.98 parent0: (101035) {G1,W11,D4,L2,V3,M2} { ! ilf_type( Y, relation_type( Z,
% 26.53/26.98 X ) ), ilf_type( Y, subset_type( cross_product( Z, X ) ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := Z
% 26.53/26.98 Z := X
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101053) {G1,W13,D2,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 subset( X, Y ), ! ilf_type( Z, set_type ), alpha1( X, Y, Z ) }.
% 26.53/26.98 parent0[0]: (5) {G0,W16,D2,L5,V3,M5} I { ! ilf_type( X, set_type ), !
% 26.53/26.98 ilf_type( Y, set_type ), ! subset( X, Y ), ! ilf_type( Z, set_type ),
% 26.53/26.98 alpha1( X, Y, Z ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101060) {G1,W10,D2,L3,V3,M3} { ! subset( Y, X ), ! ilf_type(
% 26.53/26.98 Z, set_type ), alpha1( Y, X, Z ) }.
% 26.53/26.98 parent0[0]: (101053) {G1,W13,D2,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 subset( X, Y ), ! ilf_type( Z, set_type ), alpha1( X, Y, Z ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101062) {G1,W7,D2,L2,V3,M2} { ! subset( X, Y ), alpha1( X, Y
% 26.53/26.98 , Z ) }.
% 26.53/26.98 parent0[1]: (101060) {G1,W10,D2,L3,V3,M3} { ! subset( Y, X ), ! ilf_type(
% 26.53/26.98 Z, set_type ), alpha1( Y, X, Z ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := Z
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (101) {G1,W7,D2,L2,V3,M2} S(5);r(45);r(45);r(45) { ! subset( X
% 26.53/26.98 , Y ), alpha1( X, Y, Z ) }.
% 26.53/26.98 parent0: (101062) {G1,W7,D2,L2,V3,M2} { ! subset( X, Y ), alpha1( X, Y, Z
% 26.53/26.98 ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101065) {G1,W12,D3,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 alpha1( X, Y, skol2( X, Y ) ), subset( X, Y ) }.
% 26.53/26.98 parent0[0]: (7) {G0,W15,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 26.53/26.98 ilf_type( Y, set_type ), ! alpha1( X, Y, skol2( X, Y ) ), subset( X, Y )
% 26.53/26.98 }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101067) {G1,W9,D3,L2,V2,M2} { ! alpha1( Y, X, skol2( Y, X ) )
% 26.53/26.98 , subset( Y, X ) }.
% 26.53/26.98 parent0[0]: (101065) {G1,W12,D3,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 alpha1( X, Y, skol2( X, Y ) ), subset( X, Y ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (105) {G1,W9,D3,L2,V2,M2} S(7);r(45);r(45) { ! alpha1( X, Y,
% 26.53/26.98 skol2( X, Y ) ), subset( X, Y ) }.
% 26.53/26.98 parent0: (101067) {G1,W9,D3,L2,V2,M2} { ! alpha1( Y, X, skol2( Y, X ) ),
% 26.53/26.98 subset( Y, X ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101068) {G1,W11,D2,L3,V4,M3} { ! alpha1( X, Y, Z ), member( Z
% 26.53/26.98 , Y ), alpha2( X, T, Z ) }.
% 26.53/26.98 parent0[1]: (8) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), ! member( Z,
% 26.53/26.98 X ), member( Z, Y ) }.
% 26.53/26.98 parent1[0]: (20) {G0,W7,D2,L2,V3,M2} I { member( Z, X ), alpha2( X, Y, Z )
% 26.53/26.98 }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 Y := T
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (112) {G1,W11,D2,L3,V4,M3} R(8,20) { ! alpha1( X, Y, Z ),
% 26.53/26.98 member( Z, Y ), alpha2( X, T, Z ) }.
% 26.53/26.98 parent0: (101068) {G1,W11,D2,L3,V4,M3} { ! alpha1( X, Y, Z ), member( Z, Y
% 26.53/26.98 ), alpha2( X, T, Z ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 T := T
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 2 ==> 2
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101071) {G1,W12,D4,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type( power_set( X )
% 26.53/26.98 ) ) }.
% 26.53/26.98 parent0[0]: (12) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 26.53/26.98 ilf_type( Y, set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y,
% 26.53/26.98 member_type( power_set( X ) ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101073) {G1,W9,D4,L2,V2,M2} { ! ilf_type( X, subset_type( Y )
% 26.53/26.98 ), ilf_type( X, member_type( power_set( Y ) ) ) }.
% 26.53/26.98 parent0[0]: (101071) {G1,W12,D4,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type( power_set( X )
% 26.53/26.98 ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (143) {G1,W9,D4,L2,V2,M2} S(12);r(45);r(45) { ! ilf_type( Y,
% 26.53/26.98 subset_type( X ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 26.53/26.98 parent0: (101073) {G1,W9,D4,L2,V2,M2} { ! ilf_type( X, subset_type( Y ) )
% 26.53/26.98 , ilf_type( X, member_type( power_set( Y ) ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101076) {G1,W12,D4,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 ilf_type( Y, member_type( power_set( X ) ) ), ilf_type( Y, subset_type( X
% 26.53/26.98 ) ) }.
% 26.53/26.98 parent0[0]: (13) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 26.53/26.98 ilf_type( Y, set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ),
% 26.53/26.98 ilf_type( Y, subset_type( X ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101078) {G1,W9,D4,L2,V2,M2} { ! ilf_type( X, member_type(
% 26.53/26.98 power_set( Y ) ) ), ilf_type( X, subset_type( Y ) ) }.
% 26.53/26.98 parent0[0]: (101076) {G1,W12,D4,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 ilf_type( Y, member_type( power_set( X ) ) ), ilf_type( Y, subset_type( X
% 26.53/26.98 ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (147) {G1,W9,D4,L2,V2,M2} S(13);r(45);r(45) { ! ilf_type( Y,
% 26.53/26.98 member_type( power_set( X ) ) ), ilf_type( Y, subset_type( X ) ) }.
% 26.53/26.98 parent0: (101078) {G1,W9,D4,L2,V2,M2} { ! ilf_type( X, member_type(
% 26.53/26.98 power_set( Y ) ) ), ilf_type( X, subset_type( Y ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101096) {G1,W14,D3,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 member( X, power_set( Y ) ), ! ilf_type( Z, set_type ), alpha2( X, Y, Z )
% 26.53/26.98 }.
% 26.53/26.98 parent0[0]: (16) {G0,W17,D3,L5,V3,M5} I { ! ilf_type( X, set_type ), !
% 26.53/26.98 ilf_type( Y, set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z,
% 26.53/26.98 set_type ), alpha2( X, Y, Z ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101103) {G1,W11,D3,L3,V3,M3} { ! member( Y, power_set( X ) )
% 26.53/26.98 , ! ilf_type( Z, set_type ), alpha2( Y, X, Z ) }.
% 26.53/26.98 parent0[0]: (101096) {G1,W14,D3,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 member( X, power_set( Y ) ), ! ilf_type( Z, set_type ), alpha2( X, Y, Z )
% 26.53/26.98 }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101105) {G1,W8,D3,L2,V3,M2} { ! member( X, power_set( Y ) ),
% 26.53/26.98 alpha2( X, Y, Z ) }.
% 26.53/26.98 parent0[1]: (101103) {G1,W11,D3,L3,V3,M3} { ! member( Y, power_set( X ) )
% 26.53/26.98 , ! ilf_type( Z, set_type ), alpha2( Y, X, Z ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := Z
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (158) {G1,W8,D3,L2,V3,M2} S(16);r(45);r(45);r(45) { ! member(
% 26.53/26.98 X, power_set( Y ) ), alpha2( X, Y, Z ) }.
% 26.53/26.98 parent0: (101105) {G1,W8,D3,L2,V3,M2} { ! member( X, power_set( Y ) ),
% 26.53/26.98 alpha2( X, Y, Z ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101108) {G1,W13,D3,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 alpha2( X, Y, skol4( X, Y ) ), member( X, power_set( Y ) ) }.
% 26.53/26.98 parent0[0]: (18) {G0,W16,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 26.53/26.98 ilf_type( Y, set_type ), ! alpha2( X, Y, skol4( X, Y ) ), member( X,
% 26.53/26.98 power_set( Y ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101110) {G1,W10,D3,L2,V2,M2} { ! alpha2( Y, X, skol4( Y, X )
% 26.53/26.98 ), member( Y, power_set( X ) ) }.
% 26.53/26.98 parent0[0]: (101108) {G1,W13,D3,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 26.53/26.98 alpha2( X, Y, skol4( X, Y ) ), member( X, power_set( Y ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (168) {G1,W10,D3,L2,V2,M2} S(18);r(45);r(45) { ! alpha2( X, Y
% 26.53/26.98 , skol4( X, Y ) ), member( X, power_set( Y ) ) }.
% 26.53/26.98 parent0: (101110) {G1,W10,D3,L2,V2,M2} { ! alpha2( Y, X, skol4( Y, X ) ),
% 26.53/26.98 member( Y, power_set( X ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101111) {G1,W11,D2,L3,V4,M3} { ! alpha2( X, Y, Z ), member( Z
% 26.53/26.98 , Y ), alpha1( X, T, Z ) }.
% 26.53/26.98 parent0[1]: (19) {G0,W10,D2,L3,V3,M3} I { ! alpha2( X, Y, Z ), ! member( Z
% 26.53/26.98 , X ), member( Z, Y ) }.
% 26.53/26.98 parent1[0]: (9) {G0,W7,D2,L2,V3,M2} I { member( Z, X ), alpha1( X, Y, Z )
% 26.53/26.98 }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 Y := T
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (188) {G1,W11,D2,L3,V4,M3} R(19,9) { ! alpha2( X, Y, Z ),
% 26.53/26.98 member( Z, Y ), alpha1( X, T, Z ) }.
% 26.53/26.98 parent0: (101111) {G1,W11,D2,L3,V4,M3} { ! alpha2( X, Y, Z ), member( Z, Y
% 26.53/26.98 ), alpha1( X, T, Z ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 T := T
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 2 ==> 2
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101114) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 26.53/26.98 set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 26.53/26.98 parent0[0]: (24) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty
% 26.53/26.98 ( Y ), ! ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ),
% 26.53/26.98 member( X, Y ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101116) {G1,W9,D3,L3,V2,M3} { empty( X ), ! ilf_type( Y,
% 26.53/26.98 member_type( X ) ), member( Y, X ) }.
% 26.53/26.98 parent0[1]: (101114) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 26.53/26.98 set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (194) {G1,W9,D3,L3,V2,M3} S(24);r(45);r(45) { empty( Y ), !
% 26.53/26.98 ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 26.53/26.98 parent0: (101116) {G1,W9,D3,L3,V2,M3} { empty( X ), ! ilf_type( Y,
% 26.53/26.98 member_type( X ) ), member( Y, X ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 2 ==> 2
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101119) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 26.53/26.98 set_type ), ! member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 26.53/26.98 parent0[0]: (25) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty
% 26.53/26.98 ( Y ), ! ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X,
% 26.53/26.98 member_type( Y ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101121) {G1,W9,D3,L3,V2,M3} { empty( X ), ! member( Y, X ),
% 26.53/26.98 ilf_type( Y, member_type( X ) ) }.
% 26.53/26.98 parent0[1]: (101119) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 26.53/26.98 set_type ), ! member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 26.53/26.98 parent1[0]: (45) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (201) {G1,W9,D3,L3,V2,M3} S(25);r(45);r(45) { empty( Y ), !
% 26.53/26.98 member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 26.53/26.98 parent0: (101121) {G1,W9,D3,L3,V2,M3} { empty( X ), ! member( Y, X ),
% 26.53/26.98 ilf_type( Y, member_type( X ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Y
% 26.53/26.98 Y := X
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 2 ==> 2
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101122) {G1,W6,D4,L1,V0,M1} { ! ilf_type( skol14, subset_type
% 26.53/26.98 ( cross_product( skol11, skol13 ) ) ) }.
% 26.53/26.98 parent0[0]: (49) {G0,W5,D3,L1,V0,M1} I { ! ilf_type( skol14, relation_type
% 26.53/26.98 ( skol11, skol13 ) ) }.
% 26.53/26.98 parent1[1]: (87) {G1,W11,D4,L2,V3,M2} S(2);r(45);r(45) { ! ilf_type( Z,
% 26.53/26.98 subset_type( cross_product( X, Y ) ) ), ilf_type( Z, relation_type( X, Y
% 26.53/26.98 ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := skol11
% 26.53/26.98 Y := skol13
% 26.53/26.98 Z := skol14
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (966) {G2,W6,D4,L1,V0,M1} R(87,49) { ! ilf_type( skol14,
% 26.53/26.98 subset_type( cross_product( skol11, skol13 ) ) ) }.
% 26.53/26.98 parent0: (101122) {G1,W6,D4,L1,V0,M1} { ! ilf_type( skol14, subset_type(
% 26.53/26.98 cross_product( skol11, skol13 ) ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101123) {G1,W6,D4,L1,V0,M1} { ilf_type( skol14, subset_type(
% 26.53/26.98 cross_product( skol10, skol12 ) ) ) }.
% 26.53/26.98 parent0[0]: (89) {G1,W11,D4,L2,V3,M2} S(3);r(45);r(45) { ! ilf_type( Z,
% 26.53/26.98 relation_type( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y )
% 26.53/26.98 ) ) }.
% 26.53/26.98 parent1[0]: (46) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol14, relation_type(
% 26.53/26.98 skol10, skol12 ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := skol10
% 26.53/26.98 Y := skol12
% 26.53/26.98 Z := skol14
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (974) {G2,W6,D4,L1,V0,M1} R(89,46) { ilf_type( skol14,
% 26.53/26.98 subset_type( cross_product( skol10, skol12 ) ) ) }.
% 26.53/26.98 parent0: (101123) {G1,W6,D4,L1,V0,M1} { ilf_type( skol14, subset_type(
% 26.53/26.98 cross_product( skol10, skol12 ) ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101124) {G1,W12,D2,L3,V5,M3} { alpha2( Z, Y, X ), ! alpha1( T
% 26.53/26.98 , Y, X ), alpha2( T, U, X ) }.
% 26.53/26.98 parent0[0]: (21) {G0,W7,D2,L2,V3,M2} I { ! member( Z, Y ), alpha2( X, Y, Z
% 26.53/26.98 ) }.
% 26.53/26.98 parent1[1]: (112) {G1,W11,D2,L3,V4,M3} R(8,20) { ! alpha1( X, Y, Z ),
% 26.53/26.98 member( Z, Y ), alpha2( X, T, Z ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Z
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := X
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := T
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := X
% 26.53/26.98 T := U
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (1565) {G2,W12,D2,L3,V5,M3} R(112,21) { ! alpha1( X, Y, Z ),
% 26.53/26.98 alpha2( X, T, Z ), alpha2( U, Y, Z ) }.
% 26.53/26.98 parent0: (101124) {G1,W12,D2,L3,V5,M3} { alpha2( Z, Y, X ), ! alpha1( T, Y
% 26.53/26.98 , X ), alpha2( T, U, X ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Z
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := U
% 26.53/26.98 T := X
% 26.53/26.98 U := T
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 2
% 26.53/26.98 1 ==> 0
% 26.53/26.98 2 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 factor: (101126) {G2,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), alpha2( X, Y,
% 26.53/26.98 Z ) }.
% 26.53/26.98 parent0[1, 2]: (1565) {G2,W12,D2,L3,V5,M3} R(112,21) { ! alpha1( X, Y, Z )
% 26.53/26.98 , alpha2( X, T, Z ), alpha2( U, Y, Z ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 T := Y
% 26.53/26.98 U := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (1566) {G3,W8,D2,L2,V3,M2} F(1565) { ! alpha1( X, Y, Z ),
% 26.53/26.98 alpha2( X, Y, Z ) }.
% 26.53/26.98 parent0: (101126) {G2,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), alpha2( X, Y
% 26.53/26.98 , Z ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101127) {G2,W7,D2,L2,V3,M2} { alpha2( X, Y, Z ), ! subset( X
% 26.53/26.98 , Y ) }.
% 26.53/26.98 parent0[0]: (1566) {G3,W8,D2,L2,V3,M2} F(1565) { ! alpha1( X, Y, Z ),
% 26.53/26.98 alpha2( X, Y, Z ) }.
% 26.53/26.98 parent1[1]: (101) {G1,W7,D2,L2,V3,M2} S(5);r(45);r(45);r(45) { ! subset( X
% 26.53/26.98 , Y ), alpha1( X, Y, Z ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (1674) {G4,W7,D2,L2,V3,M2} R(1566,101) { alpha2( X, Y, Z ), !
% 26.53/26.98 subset( X, Y ) }.
% 26.53/26.98 parent0: (101127) {G2,W7,D2,L2,V3,M2} { alpha2( X, Y, Z ), ! subset( X, Y
% 26.53/26.98 ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101128) {G2,W7,D5,L1,V0,M1} { ilf_type( skol14, member_type(
% 26.53/26.98 power_set( cross_product( skol10, skol12 ) ) ) ) }.
% 26.53/26.98 parent0[0]: (143) {G1,W9,D4,L2,V2,M2} S(12);r(45);r(45) { ! ilf_type( Y,
% 26.53/26.98 subset_type( X ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 26.53/26.98 parent1[0]: (974) {G2,W6,D4,L1,V0,M1} R(89,46) { ilf_type( skol14,
% 26.53/26.98 subset_type( cross_product( skol10, skol12 ) ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := cross_product( skol10, skol12 )
% 26.53/26.98 Y := skol14
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (2138) {G3,W7,D5,L1,V0,M1} R(143,974) { ilf_type( skol14,
% 26.53/26.98 member_type( power_set( cross_product( skol10, skol12 ) ) ) ) }.
% 26.53/26.98 parent0: (101128) {G2,W7,D5,L1,V0,M1} { ilf_type( skol14, member_type(
% 26.53/26.98 power_set( cross_product( skol10, skol12 ) ) ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101129) {G2,W7,D5,L1,V0,M1} { ! ilf_type( skol14, member_type
% 26.53/26.98 ( power_set( cross_product( skol11, skol13 ) ) ) ) }.
% 26.53/26.98 parent0[0]: (966) {G2,W6,D4,L1,V0,M1} R(87,49) { ! ilf_type( skol14,
% 26.53/26.98 subset_type( cross_product( skol11, skol13 ) ) ) }.
% 26.53/26.98 parent1[1]: (147) {G1,W9,D4,L2,V2,M2} S(13);r(45);r(45) { ! ilf_type( Y,
% 26.53/26.98 member_type( power_set( X ) ) ), ilf_type( Y, subset_type( X ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := cross_product( skol11, skol13 )
% 26.53/26.98 Y := skol14
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (2183) {G3,W7,D5,L1,V0,M1} R(147,966) { ! ilf_type( skol14,
% 26.53/26.98 member_type( power_set( cross_product( skol11, skol13 ) ) ) ) }.
% 26.53/26.98 parent0: (101129) {G2,W7,D5,L1,V0,M1} { ! ilf_type( skol14, member_type(
% 26.53/26.98 power_set( cross_product( skol11, skol13 ) ) ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101130) {G2,W7,D3,L2,V2,M2} { member( X, power_set( Y ) ), !
% 26.53/26.98 subset( X, Y ) }.
% 26.53/26.98 parent0[0]: (168) {G1,W10,D3,L2,V2,M2} S(18);r(45);r(45) { ! alpha2( X, Y,
% 26.53/26.98 skol4( X, Y ) ), member( X, power_set( Y ) ) }.
% 26.53/26.98 parent1[0]: (1674) {G4,W7,D2,L2,V3,M2} R(1566,101) { alpha2( X, Y, Z ), !
% 26.53/26.98 subset( X, Y ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := skol4( X, Y )
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (2803) {G5,W7,D3,L2,V2,M2} R(168,1674) { member( X, power_set
% 26.53/26.98 ( Y ) ), ! subset( X, Y ) }.
% 26.53/26.98 parent0: (101130) {G2,W7,D3,L2,V2,M2} { member( X, power_set( Y ) ), !
% 26.53/26.98 subset( X, Y ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101131) {G1,W12,D2,L3,V5,M3} { alpha1( Z, Y, X ), ! alpha2( T
% 26.53/26.98 , Y, X ), alpha1( T, U, X ) }.
% 26.53/26.98 parent0[0]: (10) {G0,W7,D2,L2,V3,M2} I { ! member( Z, Y ), alpha1( X, Y, Z
% 26.53/26.98 ) }.
% 26.53/26.98 parent1[1]: (188) {G1,W11,D2,L3,V4,M3} R(19,9) { ! alpha2( X, Y, Z ),
% 26.53/26.98 member( Z, Y ), alpha1( X, T, Z ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Z
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := X
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := T
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := X
% 26.53/26.98 T := U
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (4858) {G2,W12,D2,L3,V5,M3} R(188,10) { ! alpha2( X, Y, Z ),
% 26.53/26.98 alpha1( X, T, Z ), alpha1( U, Y, Z ) }.
% 26.53/26.98 parent0: (101131) {G1,W12,D2,L3,V5,M3} { alpha1( Z, Y, X ), ! alpha2( T, Y
% 26.53/26.98 , X ), alpha1( T, U, X ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := Z
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := U
% 26.53/26.98 T := X
% 26.53/26.98 U := T
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 2
% 26.53/26.98 1 ==> 0
% 26.53/26.98 2 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 factor: (101133) {G2,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha1( X, Y,
% 26.53/26.98 Z ) }.
% 26.53/26.98 parent0[1, 2]: (4858) {G2,W12,D2,L3,V5,M3} R(188,10) { ! alpha2( X, Y, Z )
% 26.53/26.98 , alpha1( X, T, Z ), alpha1( U, Y, Z ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 T := Y
% 26.53/26.98 U := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (4860) {G3,W8,D2,L2,V3,M2} F(4858) { ! alpha2( X, Y, Z ),
% 26.53/26.98 alpha1( X, Y, Z ) }.
% 26.53/26.98 parent0: (101133) {G2,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha1( X, Y
% 26.53/26.98 , Z ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 Y := Y
% 26.53/26.98 Z := Z
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101134) {G2,W11,D4,L2,V0,M2} { empty( power_set(
% 26.53/26.98 cross_product( skol10, skol12 ) ) ), member( skol14, power_set(
% 26.53/26.98 cross_product( skol10, skol12 ) ) ) }.
% 26.53/26.98 parent0[1]: (194) {G1,W9,D3,L3,V2,M3} S(24);r(45);r(45) { empty( Y ), !
% 26.53/26.98 ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 26.53/26.98 parent1[0]: (2138) {G3,W7,D5,L1,V0,M1} R(143,974) { ilf_type( skol14,
% 26.53/26.98 member_type( power_set( cross_product( skol10, skol12 ) ) ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := skol14
% 26.53/26.98 Y := power_set( cross_product( skol10, skol12 ) )
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101135) {G2,W6,D4,L1,V0,M1} { member( skol14, power_set(
% 26.53/26.98 cross_product( skol10, skol12 ) ) ) }.
% 26.53/26.98 parent0[0]: (88) {G1,W3,D3,L1,V1,M1} S(22);r(45) { ! empty( power_set( X )
% 26.53/26.98 ) }.
% 26.53/26.98 parent1[0]: (101134) {G2,W11,D4,L2,V0,M2} { empty( power_set(
% 26.53/26.98 cross_product( skol10, skol12 ) ) ), member( skol14, power_set(
% 26.53/26.98 cross_product( skol10, skol12 ) ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := cross_product( skol10, skol12 )
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (5451) {G4,W6,D4,L1,V0,M1} R(194,2138);r(88) { member( skol14
% 26.53/26.98 , power_set( cross_product( skol10, skol12 ) ) ) }.
% 26.53/26.98 parent0: (101135) {G2,W6,D4,L1,V0,M1} { member( skol14, power_set(
% 26.53/26.98 cross_product( skol10, skol12 ) ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101136) {G2,W11,D4,L2,V0,M2} { empty( power_set(
% 26.53/26.98 cross_product( skol11, skol13 ) ) ), ! member( skol14, power_set(
% 26.53/26.98 cross_product( skol11, skol13 ) ) ) }.
% 26.53/26.98 parent0[0]: (2183) {G3,W7,D5,L1,V0,M1} R(147,966) { ! ilf_type( skol14,
% 26.53/26.98 member_type( power_set( cross_product( skol11, skol13 ) ) ) ) }.
% 26.53/26.98 parent1[2]: (201) {G1,W9,D3,L3,V2,M3} S(25);r(45);r(45) { empty( Y ), !
% 26.53/26.98 member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := skol14
% 26.53/26.98 Y := power_set( cross_product( skol11, skol13 ) )
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101137) {G2,W6,D4,L1,V0,M1} { ! member( skol14, power_set(
% 26.53/26.98 cross_product( skol11, skol13 ) ) ) }.
% 26.53/26.98 parent0[0]: (88) {G1,W3,D3,L1,V1,M1} S(22);r(45) { ! empty( power_set( X )
% 26.53/26.98 ) }.
% 26.53/26.98 parent1[0]: (101136) {G2,W11,D4,L2,V0,M2} { empty( power_set(
% 26.53/26.98 cross_product( skol11, skol13 ) ) ), ! member( skol14, power_set(
% 26.53/26.98 cross_product( skol11, skol13 ) ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := cross_product( skol11, skol13 )
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (5715) {G4,W6,D4,L1,V0,M1} R(201,2183);r(88) { ! member(
% 26.53/26.98 skol14, power_set( cross_product( skol11, skol13 ) ) ) }.
% 26.53/26.98 parent0: (101137) {G2,W6,D4,L1,V0,M1} { ! member( skol14, power_set(
% 26.53/26.98 cross_product( skol11, skol13 ) ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101138) {G5,W5,D3,L1,V0,M1} { ! subset( skol14, cross_product
% 26.53/26.98 ( skol11, skol13 ) ) }.
% 26.53/26.98 parent0[0]: (5715) {G4,W6,D4,L1,V0,M1} R(201,2183);r(88) { ! member( skol14
% 26.53/26.98 , power_set( cross_product( skol11, skol13 ) ) ) }.
% 26.53/26.98 parent1[0]: (2803) {G5,W7,D3,L2,V2,M2} R(168,1674) { member( X, power_set(
% 26.53/26.98 Y ) ), ! subset( X, Y ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := skol14
% 26.53/26.98 Y := cross_product( skol11, skol13 )
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (7344) {G6,W5,D3,L1,V0,M1} R(5715,2803) { ! subset( skol14,
% 26.53/26.98 cross_product( skol11, skol13 ) ) }.
% 26.53/26.98 parent0: (101138) {G5,W5,D3,L1,V0,M1} { ! subset( skol14, cross_product(
% 26.53/26.98 skol11, skol13 ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101139) {G2,W6,D3,L1,V1,M1} { alpha2( skol14, cross_product(
% 26.53/26.98 skol10, skol12 ), X ) }.
% 26.53/26.98 parent0[0]: (158) {G1,W8,D3,L2,V3,M2} S(16);r(45);r(45);r(45) { ! member( X
% 26.53/26.98 , power_set( Y ) ), alpha2( X, Y, Z ) }.
% 26.53/26.98 parent1[0]: (5451) {G4,W6,D4,L1,V0,M1} R(194,2138);r(88) { member( skol14,
% 26.53/26.98 power_set( cross_product( skol10, skol12 ) ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := skol14
% 26.53/26.98 Y := cross_product( skol10, skol12 )
% 26.53/26.98 Z := X
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (8013) {G5,W6,D3,L1,V1,M1} R(5451,158) { alpha2( skol14,
% 26.53/26.98 cross_product( skol10, skol12 ), X ) }.
% 26.53/26.98 parent0: (101139) {G2,W6,D3,L1,V1,M1} { alpha2( skol14, cross_product(
% 26.53/26.98 skol10, skol12 ), X ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101140) {G4,W6,D3,L1,V1,M1} { alpha1( skol14, cross_product(
% 26.53/26.98 skol10, skol12 ), X ) }.
% 26.53/26.98 parent0[0]: (4860) {G3,W8,D2,L2,V3,M2} F(4858) { ! alpha2( X, Y, Z ),
% 26.53/26.98 alpha1( X, Y, Z ) }.
% 26.53/26.98 parent1[0]: (8013) {G5,W6,D3,L1,V1,M1} R(5451,158) { alpha2( skol14,
% 26.53/26.98 cross_product( skol10, skol12 ), X ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := skol14
% 26.53/26.98 Y := cross_product( skol10, skol12 )
% 26.53/26.98 Z := X
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (8113) {G6,W6,D3,L1,V1,M1} R(8013,4860) { alpha1( skol14,
% 26.53/26.98 cross_product( skol10, skol12 ), X ) }.
% 26.53/26.98 parent0: (101140) {G4,W6,D3,L1,V1,M1} { alpha1( skol14, cross_product(
% 26.53/26.98 skol10, skol12 ), X ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101141) {G2,W5,D3,L1,V0,M1} { subset( skol14, cross_product(
% 26.53/26.98 skol10, skol12 ) ) }.
% 26.53/26.98 parent0[0]: (105) {G1,W9,D3,L2,V2,M2} S(7);r(45);r(45) { ! alpha1( X, Y,
% 26.53/26.98 skol2( X, Y ) ), subset( X, Y ) }.
% 26.53/26.98 parent1[0]: (8113) {G6,W6,D3,L1,V1,M1} R(8013,4860) { alpha1( skol14,
% 26.53/26.98 cross_product( skol10, skol12 ), X ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := skol14
% 26.53/26.98 Y := cross_product( skol10, skol12 )
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := skol2( skol14, cross_product( skol10, skol12 ) )
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (8120) {G7,W5,D3,L1,V0,M1} R(8113,105) { subset( skol14,
% 26.53/26.98 cross_product( skol10, skol12 ) ) }.
% 26.53/26.98 parent0: (101141) {G2,W5,D3,L1,V0,M1} { subset( skol14, cross_product(
% 26.53/26.98 skol10, skol12 ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101142) {G2,W8,D3,L2,V1,M2} { ! subset( cross_product( skol10
% 26.53/26.98 , skol12 ), X ), subset( skol14, X ) }.
% 26.53/26.98 parent0[0]: (83) {G1,W9,D2,L3,V3,M3} S(0);r(45);r(45);r(45) { ! subset( X,
% 26.53/26.98 Y ), ! subset( Y, Z ), subset( X, Z ) }.
% 26.53/26.98 parent1[0]: (8120) {G7,W5,D3,L1,V0,M1} R(8113,105) { subset( skol14,
% 26.53/26.98 cross_product( skol10, skol12 ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := skol14
% 26.53/26.98 Y := cross_product( skol10, skol12 )
% 26.53/26.98 Z := X
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (8124) {G8,W8,D3,L2,V1,M2} R(8120,83) { ! subset(
% 26.53/26.98 cross_product( skol10, skol12 ), X ), subset( skol14, X ) }.
% 26.53/26.98 parent0: (101142) {G2,W8,D3,L2,V1,M2} { ! subset( cross_product( skol10,
% 26.53/26.98 skol12 ), X ), subset( skol14, X ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 X := X
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 1 ==> 1
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101144) {G7,W7,D3,L1,V0,M1} { ! subset( cross_product( skol10
% 26.53/26.98 , skol12 ), cross_product( skol11, skol13 ) ) }.
% 26.53/26.98 parent0[0]: (7344) {G6,W5,D3,L1,V0,M1} R(5715,2803) { ! subset( skol14,
% 26.53/26.98 cross_product( skol11, skol13 ) ) }.
% 26.53/26.98 parent1[1]: (8124) {G8,W8,D3,L2,V1,M2} R(8120,83) { ! subset( cross_product
% 26.53/26.98 ( skol10, skol12 ), X ), subset( skol14, X ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := cross_product( skol11, skol13 )
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (99642) {G9,W7,D3,L1,V0,M1} R(8124,7344) { ! subset(
% 26.53/26.98 cross_product( skol10, skol12 ), cross_product( skol11, skol13 ) ) }.
% 26.53/26.98 parent0: (101144) {G7,W7,D3,L1,V0,M1} { ! subset( cross_product( skol10,
% 26.53/26.98 skol12 ), cross_product( skol11, skol13 ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101145) {G2,W6,D2,L2,V0,M2} { ! subset( skol10, skol11 ), !
% 26.53/26.98 subset( skol12, skol13 ) }.
% 26.53/26.98 parent0[0]: (99642) {G9,W7,D3,L1,V0,M1} R(8124,7344) { ! subset(
% 26.53/26.98 cross_product( skol10, skol12 ), cross_product( skol11, skol13 ) ) }.
% 26.53/26.98 parent1[2]: (84) {G1,W13,D3,L3,V4,M3} S(1);r(45);r(45);r(45);r(45) { !
% 26.53/26.98 subset( X, Y ), ! subset( Z, T ), subset( cross_product( X, Z ),
% 26.53/26.98 cross_product( Y, T ) ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 X := skol10
% 26.53/26.98 Y := skol11
% 26.53/26.98 Z := skol12
% 26.53/26.98 T := skol13
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101146) {G1,W3,D2,L1,V0,M1} { ! subset( skol12, skol13 ) }.
% 26.53/26.98 parent0[0]: (101145) {G2,W6,D2,L2,V0,M2} { ! subset( skol10, skol11 ), !
% 26.53/26.98 subset( skol12, skol13 ) }.
% 26.53/26.98 parent1[0]: (47) {G0,W3,D2,L1,V0,M1} I { subset( skol10, skol11 ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (99676) {G10,W3,D2,L1,V0,M1} R(99642,84);r(47) { ! subset(
% 26.53/26.98 skol12, skol13 ) }.
% 26.53/26.98 parent0: (101146) {G1,W3,D2,L1,V0,M1} { ! subset( skol12, skol13 ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 0 ==> 0
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 resolution: (101147) {G1,W0,D0,L0,V0,M0} { }.
% 26.53/26.98 parent0[0]: (99676) {G10,W3,D2,L1,V0,M1} R(99642,84);r(47) { ! subset(
% 26.53/26.98 skol12, skol13 ) }.
% 26.53/26.98 parent1[0]: (48) {G0,W3,D2,L1,V0,M1} I { subset( skol12, skol13 ) }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 substitution1:
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 subsumption: (99692) {G11,W0,D0,L0,V0,M0} S(99676);r(48) { }.
% 26.53/26.98 parent0: (101147) {G1,W0,D0,L0,V0,M0} { }.
% 26.53/26.98 substitution0:
% 26.53/26.98 end
% 26.53/26.98 permutation0:
% 26.53/26.98 end
% 26.53/26.98
% 26.53/26.98 Proof check complete!
% 26.53/26.98
% 26.53/26.98 Memory use:
% 26.53/26.98
% 26.53/26.98 space for terms: 1284747
% 26.53/26.98 space for clauses: 3892998
% 26.53/26.98
% 26.53/26.98
% 26.53/26.98 clauses generated: 280107
% 26.53/26.98 clauses kept: 99693
% 26.53/26.98 clauses selected: 2822
% 26.53/26.98 clauses deleted: 1486
% 26.53/26.98 clauses inuse deleted: 32
% 26.53/26.98
% 26.53/26.98 subsentry: 2868131
% 26.53/26.98 literals s-matched: 2098754
% 26.53/26.98 literals matched: 2006637
% 26.53/26.98 full subsumption: 99509
% 26.53/26.98
% 26.53/26.98 checksum: -1355317590
% 26.53/26.98
% 26.53/26.98
% 26.53/26.98 Bliksem ended
%------------------------------------------------------------------------------