TSTP Solution File: SET640+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET640+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 22:51:04 EDT 2022
% Result : Theorem 2.44s 2.81s
% Output : Refutation 2.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET640+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sun Jul 10 00:44:47 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.49/1.14 *** allocated 10000 integers for termspace/termends
% 0.49/1.14 *** allocated 10000 integers for clauses
% 0.49/1.14 *** allocated 10000 integers for justifications
% 0.49/1.14 Bliksem 1.12
% 0.49/1.14
% 0.49/1.14
% 0.49/1.14 Automatic Strategy Selection
% 0.49/1.14
% 0.49/1.14
% 0.49/1.14 Clauses:
% 0.49/1.14
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.49/1.14 set_type ), ! subset( X, Y ), ! subset( Y, Z ), subset( X, Z ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.49/1.14 set_type ), ! member( Z, cross_product( X, Y ) ), ilf_type( skol1( T, U,
% 0.49/1.14 W ), set_type ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.49/1.14 set_type ), ! member( Z, cross_product( X, Y ) ), alpha1( X, Y, Z, skol1
% 0.49/1.14 ( X, Y, Z ) ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.49/1.14 set_type ), ! ilf_type( T, set_type ), ! alpha1( X, Y, Z, T ), member( Z
% 0.49/1.14 , cross_product( X, Y ) ) }.
% 0.49/1.14 { ! alpha1( X, Y, Z, T ), ilf_type( skol2( U, W, V0, V1 ), set_type ) }.
% 0.49/1.14 { ! alpha1( X, Y, Z, T ), alpha8( X, Y, Z, T, skol2( X, Y, Z, T ) ) }.
% 0.49/1.14 { ! ilf_type( U, set_type ), ! alpha8( X, Y, Z, T, U ), alpha1( X, Y, Z, T
% 0.49/1.14 ) }.
% 0.49/1.14 { ! alpha8( X, Y, Z, T, U ), member( T, X ) }.
% 0.49/1.14 { ! alpha8( X, Y, Z, T, U ), alpha5( Y, Z, T, U ) }.
% 0.49/1.14 { ! member( T, X ), ! alpha5( Y, Z, T, U ), alpha8( X, Y, Z, T, U ) }.
% 0.49/1.14 { ! alpha5( X, Y, Z, T ), member( T, X ) }.
% 0.49/1.14 { ! alpha5( X, Y, Z, T ), Y = ordered_pair( Z, T ) }.
% 0.49/1.14 { ! member( T, X ), ! Y = ordered_pair( Z, T ), alpha5( X, Y, Z, T ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type(
% 0.49/1.14 cross_product( X, Y ), set_type ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.49/1.14 subset_type( cross_product( X, Y ) ) ), ilf_type( Z, relation_type( X, Y
% 0.49/1.14 ) ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.49/1.14 relation_type( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y )
% 0.49/1.14 ) ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol3( X
% 0.49/1.14 , Y ), relation_type( Y, X ) ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! subset( X, Y ), !
% 0.49/1.14 ilf_type( Z, set_type ), alpha2( X, Y, Z ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol4( Z
% 0.49/1.14 , T ), set_type ), subset( X, Y ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! alpha2( X, Y,
% 0.49/1.14 skol4( X, Y ) ), subset( X, Y ) }.
% 0.49/1.14 { ! alpha2( X, Y, Z ), ! member( Z, X ), member( Z, Y ) }.
% 0.49/1.14 { member( Z, X ), alpha2( X, Y, Z ) }.
% 0.49/1.14 { ! member( Z, Y ), alpha2( X, Y, Z ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type(
% 0.49/1.14 ordered_pair( X, Y ), set_type ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Y,
% 0.49/1.14 subset_type( X ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Y,
% 0.49/1.14 member_type( power_set( X ) ) ), ilf_type( Y, subset_type( X ) ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ilf_type( skol5( X ), subset_type( X ) ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), subset( X, X ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! member( X,
% 0.49/1.14 power_set( Y ) ), ! ilf_type( Z, set_type ), alpha3( X, Y, Z ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol6( Z
% 0.49/1.14 , T ), set_type ), member( X, power_set( Y ) ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! alpha3( X, Y,
% 0.49/1.14 skol6( X, Y ) ), member( X, power_set( Y ) ) }.
% 0.49/1.14 { ! alpha3( X, Y, Z ), ! member( Z, X ), member( Z, Y ) }.
% 0.49/1.14 { member( Z, X ), alpha3( X, Y, Z ) }.
% 0.49/1.14 { ! member( Z, Y ), alpha3( X, Y, Z ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! empty( power_set( X ) ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ilf_type( power_set( X ), set_type ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), empty( Y ), ! ilf_type( Y, set_type ), !
% 0.49/1.14 ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), empty( Y ), ! ilf_type( Y, set_type ), !
% 0.49/1.14 member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 0.49/1.14 { empty( X ), ! ilf_type( X, set_type ), ilf_type( skol7( X ), member_type
% 0.49/1.14 ( X ) ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ! empty( X ), ! ilf_type( Y, set_type ), !
% 0.49/1.14 member( Y, X ) }.
% 0.49/1.14 { ! ilf_type( X, set_type ), ilf_type( skol8( Y ), set_type ), empty( X ) }
% 2.44/2.81 .
% 2.44/2.81 { ! ilf_type( X, set_type ), member( skol8( X ), X ), empty( X ) }.
% 2.44/2.81 { ! ilf_type( X, set_type ), ! relation_like( X ), ! ilf_type( Y, set_type
% 2.44/2.81 ), alpha6( X, Y ) }.
% 2.44/2.81 { ! ilf_type( X, set_type ), ilf_type( skol9( Y ), set_type ),
% 2.44/2.81 relation_like( X ) }.
% 2.44/2.81 { ! ilf_type( X, set_type ), ! alpha6( X, skol9( X ) ), relation_like( X )
% 2.44/2.81 }.
% 2.44/2.81 { ! alpha6( X, Y ), ! member( Y, X ), alpha4( Y ) }.
% 2.44/2.81 { member( Y, X ), alpha6( X, Y ) }.
% 2.44/2.81 { ! alpha4( Y ), alpha6( X, Y ) }.
% 2.44/2.81 { ! alpha4( X ), ilf_type( skol10( Y ), set_type ) }.
% 2.44/2.81 { ! alpha4( X ), alpha7( X, skol10( X ) ) }.
% 2.44/2.81 { ! ilf_type( Y, set_type ), ! alpha7( X, Y ), alpha4( X ) }.
% 2.44/2.81 { ! alpha7( X, Y ), ilf_type( skol11( Z, T ), set_type ) }.
% 2.44/2.81 { ! alpha7( X, Y ), X = ordered_pair( Y, skol11( X, Y ) ) }.
% 2.44/2.81 { ! ilf_type( Z, set_type ), ! X = ordered_pair( Y, Z ), alpha7( X, Y ) }.
% 2.44/2.81 { ! empty( X ), ! ilf_type( X, set_type ), relation_like( X ) }.
% 2.44/2.81 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 2.44/2.81 subset_type( cross_product( X, Y ) ) ), relation_like( Z ) }.
% 2.44/2.81 { ilf_type( X, set_type ) }.
% 2.44/2.81 { ilf_type( skol12, set_type ) }.
% 2.44/2.81 { ilf_type( skol13, set_type ) }.
% 2.44/2.81 { ilf_type( skol14, set_type ) }.
% 2.44/2.81 { ilf_type( skol15, relation_type( skol13, skol14 ) ) }.
% 2.44/2.81 { subset( skol12, skol15 ) }.
% 2.44/2.81 { ! subset( skol12, cross_product( skol13, skol14 ) ) }.
% 2.44/2.81
% 2.44/2.81 percentage equality = 0.021739, percentage horn = 0.825397
% 2.44/2.81 This is a problem with some equality
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 Options Used:
% 2.44/2.81
% 2.44/2.81 useres = 1
% 2.44/2.81 useparamod = 1
% 2.44/2.81 useeqrefl = 1
% 2.44/2.81 useeqfact = 1
% 2.44/2.81 usefactor = 1
% 2.44/2.81 usesimpsplitting = 0
% 2.44/2.81 usesimpdemod = 5
% 2.44/2.81 usesimpres = 3
% 2.44/2.81
% 2.44/2.81 resimpinuse = 1000
% 2.44/2.81 resimpclauses = 20000
% 2.44/2.81 substype = eqrewr
% 2.44/2.81 backwardsubs = 1
% 2.44/2.81 selectoldest = 5
% 2.44/2.81
% 2.44/2.81 litorderings [0] = split
% 2.44/2.81 litorderings [1] = extend the termordering, first sorting on arguments
% 2.44/2.81
% 2.44/2.81 termordering = kbo
% 2.44/2.81
% 2.44/2.81 litapriori = 0
% 2.44/2.81 termapriori = 1
% 2.44/2.81 litaposteriori = 0
% 2.44/2.81 termaposteriori = 0
% 2.44/2.81 demodaposteriori = 0
% 2.44/2.81 ordereqreflfact = 0
% 2.44/2.81
% 2.44/2.81 litselect = negord
% 2.44/2.81
% 2.44/2.81 maxweight = 15
% 2.44/2.81 maxdepth = 30000
% 2.44/2.81 maxlength = 115
% 2.44/2.81 maxnrvars = 195
% 2.44/2.81 excuselevel = 1
% 2.44/2.81 increasemaxweight = 1
% 2.44/2.81
% 2.44/2.81 maxselected = 10000000
% 2.44/2.81 maxnrclauses = 10000000
% 2.44/2.81
% 2.44/2.81 showgenerated = 0
% 2.44/2.81 showkept = 0
% 2.44/2.81 showselected = 0
% 2.44/2.81 showdeleted = 0
% 2.44/2.81 showresimp = 1
% 2.44/2.81 showstatus = 2000
% 2.44/2.81
% 2.44/2.81 prologoutput = 0
% 2.44/2.81 nrgoals = 5000000
% 2.44/2.81 totalproof = 1
% 2.44/2.81
% 2.44/2.81 Symbols occurring in the translation:
% 2.44/2.81
% 2.44/2.81 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.44/2.81 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 2.44/2.81 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 2.44/2.81 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.44/2.81 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.44/2.81 set_type [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 2.44/2.81 ilf_type [37, 2] (w:1, o:56, a:1, s:1, b:0),
% 2.44/2.81 subset [40, 2] (w:1, o:58, a:1, s:1, b:0),
% 2.44/2.81 cross_product [41, 2] (w:1, o:59, a:1, s:1, b:0),
% 2.44/2.81 member [42, 2] (w:1, o:60, a:1, s:1, b:0),
% 2.44/2.81 ordered_pair [45, 2] (w:1, o:61, a:1, s:1, b:0),
% 2.44/2.81 subset_type [46, 1] (w:1, o:22, a:1, s:1, b:0),
% 2.44/2.81 relation_type [47, 2] (w:1, o:57, a:1, s:1, b:0),
% 2.44/2.81 power_set [48, 1] (w:1, o:23, a:1, s:1, b:0),
% 2.44/2.81 member_type [49, 1] (w:1, o:24, a:1, s:1, b:0),
% 2.44/2.81 empty [50, 1] (w:1, o:25, a:1, s:1, b:0),
% 2.44/2.81 relation_like [51, 1] (w:1, o:21, a:1, s:1, b:0),
% 2.44/2.81 alpha1 [52, 4] (w:1, o:71, a:1, s:1, b:1),
% 2.44/2.81 alpha2 [53, 3] (w:1, o:68, a:1, s:1, b:1),
% 2.44/2.81 alpha3 [54, 3] (w:1, o:69, a:1, s:1, b:1),
% 2.44/2.81 alpha4 [55, 1] (w:1, o:26, a:1, s:1, b:1),
% 2.44/2.81 alpha5 [56, 4] (w:1, o:72, a:1, s:1, b:1),
% 2.44/2.81 alpha6 [57, 2] (w:1, o:62, a:1, s:1, b:1),
% 2.44/2.81 alpha7 [58, 2] (w:1, o:63, a:1, s:1, b:1),
% 2.44/2.81 alpha8 [59, 5] (w:1, o:74, a:1, s:1, b:1),
% 2.44/2.81 skol1 [60, 3] (w:1, o:70, a:1, s:1, b:1),
% 2.44/2.81 skol2 [61, 4] (w:1, o:73, a:1, s:1, b:1),
% 2.44/2.81 skol3 [62, 2] (w:1, o:64, a:1, s:1, b:1),
% 2.44/2.81 skol4 [63, 2] (w:1, o:65, a:1, s:1, b:1),
% 2.44/2.81 skol5 [64, 1] (w:1, o:27, a:1, s:1, b:1),
% 2.44/2.81 skol6 [65, 2] (w:1, o:66, a:1, s:1, b:1),
% 2.44/2.81 skol7 [66, 1] (w:1, o:28, a:1, s:1, b:1),
% 2.44/2.81 skol8 [67, 1] (w:1, o:29, a:1, s:1, b:1),
% 2.44/2.81 skol9 [68, 1] (w:1, o:30, a:1, s:1, b:1),
% 2.44/2.81 skol10 [69, 1] (w:1, o:31, a:1, s:1, b:1),
% 2.44/2.81 skol11 [70, 2] (w:1, o:67, a:1, s:1, b:1),
% 2.44/2.81 skol12 [71, 0] (w:1, o:12, a:1, s:1, b:1),
% 2.44/2.81 skol13 [72, 0] (w:1, o:13, a:1, s:1, b:1),
% 2.44/2.81 skol14 [73, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.44/2.81 skol15 [74, 0] (w:1, o:15, a:1, s:1, b:1).
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 Starting Search:
% 2.44/2.81
% 2.44/2.81 *** allocated 15000 integers for clauses
% 2.44/2.81 *** allocated 22500 integers for clauses
% 2.44/2.81 *** allocated 33750 integers for clauses
% 2.44/2.81 *** allocated 15000 integers for termspace/termends
% 2.44/2.81 *** allocated 50625 integers for clauses
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 *** allocated 22500 integers for termspace/termends
% 2.44/2.81 *** allocated 75937 integers for clauses
% 2.44/2.81 *** allocated 33750 integers for termspace/termends
% 2.44/2.81 *** allocated 113905 integers for clauses
% 2.44/2.81
% 2.44/2.81 Intermediate Status:
% 2.44/2.81 Generated: 4464
% 2.44/2.81 Kept: 2002
% 2.44/2.81 Inuse: 286
% 2.44/2.81 Deleted: 106
% 2.44/2.81 Deletedinuse: 33
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 *** allocated 50625 integers for termspace/termends
% 2.44/2.81 *** allocated 170857 integers for clauses
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 *** allocated 256285 integers for clauses
% 2.44/2.81 *** allocated 75937 integers for termspace/termends
% 2.44/2.81
% 2.44/2.81 Intermediate Status:
% 2.44/2.81 Generated: 9920
% 2.44/2.81 Kept: 4041
% 2.44/2.81 Inuse: 415
% 2.44/2.81 Deleted: 122
% 2.44/2.81 Deletedinuse: 37
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 *** allocated 384427 integers for clauses
% 2.44/2.81 *** allocated 113905 integers for termspace/termends
% 2.44/2.81
% 2.44/2.81 Intermediate Status:
% 2.44/2.81 Generated: 15267
% 2.44/2.81 Kept: 6048
% 2.44/2.81 Inuse: 494
% 2.44/2.81 Deleted: 127
% 2.44/2.81 Deletedinuse: 37
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 Intermediate Status:
% 2.44/2.81 Generated: 22028
% 2.44/2.81 Kept: 8050
% 2.44/2.81 Inuse: 607
% 2.44/2.81 Deleted: 158
% 2.44/2.81 Deletedinuse: 37
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 *** allocated 170857 integers for termspace/termends
% 2.44/2.81 *** allocated 576640 integers for clauses
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 Intermediate Status:
% 2.44/2.81 Generated: 28389
% 2.44/2.81 Kept: 10058
% 2.44/2.81 Inuse: 724
% 2.44/2.81 Deleted: 287
% 2.44/2.81 Deletedinuse: 157
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 Intermediate Status:
% 2.44/2.81 Generated: 35693
% 2.44/2.81 Kept: 12078
% 2.44/2.81 Inuse: 847
% 2.44/2.81 Deleted: 440
% 2.44/2.81 Deletedinuse: 294
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 *** allocated 256285 integers for termspace/termends
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 *** allocated 864960 integers for clauses
% 2.44/2.81
% 2.44/2.81 Intermediate Status:
% 2.44/2.81 Generated: 44575
% 2.44/2.81 Kept: 14096
% 2.44/2.81 Inuse: 946
% 2.44/2.81 Deleted: 477
% 2.44/2.81 Deletedinuse: 295
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 Intermediate Status:
% 2.44/2.81 Generated: 52402
% 2.44/2.81 Kept: 16103
% 2.44/2.81 Inuse: 1051
% 2.44/2.81 Deleted: 524
% 2.44/2.81 Deletedinuse: 295
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 Intermediate Status:
% 2.44/2.81 Generated: 57842
% 2.44/2.81 Kept: 18157
% 2.44/2.81 Inuse: 1117
% 2.44/2.81 Deleted: 535
% 2.44/2.81 Deletedinuse: 295
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 *** allocated 384427 integers for termspace/termends
% 2.44/2.81 Resimplifying clauses:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 Intermediate Status:
% 2.44/2.81 Generated: 64740
% 2.44/2.81 Kept: 20159
% 2.44/2.81 Inuse: 1176
% 2.44/2.81 Deleted: 6062
% 2.44/2.81 Deletedinuse: 301
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 *** allocated 1297440 integers for clauses
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 Intermediate Status:
% 2.44/2.81 Generated: 71429
% 2.44/2.81 Kept: 22165
% 2.44/2.81 Inuse: 1232
% 2.44/2.81 Deleted: 6063
% 2.44/2.81 Deletedinuse: 302
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 Intermediate Status:
% 2.44/2.81 Generated: 76497
% 2.44/2.81 Kept: 24255
% 2.44/2.81 Inuse: 1296
% 2.44/2.81 Deleted: 6063
% 2.44/2.81 Deletedinuse: 302
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 Intermediate Status:
% 2.44/2.81 Generated: 80987
% 2.44/2.81 Kept: 26369
% 2.44/2.81 Inuse: 1352
% 2.44/2.81 Deleted: 6064
% 2.44/2.81 Deletedinuse: 303
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81 Resimplifying inuse:
% 2.44/2.81 Done
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 Intermediate Status:
% 2.44/2.81 Generated: 86193
% 2.44/2.81 Kept: 28409
% 2.44/2.81 Inuse: 1411
% 2.44/2.81 Deleted: 6064
% 2.44/2.81 Deletedinuse: 303
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 Bliksems!, er is een bewijs:
% 2.44/2.81 % SZS status Theorem
% 2.44/2.81 % SZS output start Refutation
% 2.44/2.81
% 2.44/2.81 (0) {G0,W18,D2,L6,V3,M6} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! ilf_type( Z, set_type ), ! subset( X, Y ), ! subset( Y, Z )
% 2.44/2.81 , subset( X, Z ) }.
% 2.44/2.81 (15) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z,
% 2.44/2.81 subset_type( cross_product( X, Y ) ) ) }.
% 2.44/2.81 (19) {G0,W15,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! alpha2( X, Y, skol4( X, Y ) ), subset( X, Y ) }.
% 2.44/2.81 (21) {G0,W7,D2,L2,V3,M2} I { member( Z, X ), alpha2( X, Y, Z ) }.
% 2.44/2.81 (22) {G0,W7,D2,L2,V3,M2} I { ! member( Z, Y ), alpha2( X, Y, Z ) }.
% 2.44/2.81 (24) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type(
% 2.44/2.81 power_set( X ) ) ) }.
% 2.44/2.81 (28) {G0,W17,D3,L5,V3,M5} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z, set_type ),
% 2.44/2.81 alpha3( X, Y, Z ) }.
% 2.44/2.81 (31) {G0,W10,D2,L3,V3,M3} I { ! alpha3( X, Y, Z ), ! member( Z, X ), member
% 2.44/2.81 ( Z, Y ) }.
% 2.44/2.81 (34) {G0,W6,D3,L2,V1,M2} I { ! ilf_type( X, set_type ), ! empty( power_set
% 2.44/2.81 ( X ) ) }.
% 2.44/2.81 (36) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty( Y ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y
% 2.44/2.81 ) }.
% 2.44/2.81 (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.81 (57) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol15, relation_type( skol13,
% 2.44/2.81 skol14 ) ) }.
% 2.44/2.81 (58) {G0,W3,D2,L1,V0,M1} I { subset( skol12, skol15 ) }.
% 2.44/2.81 (59) {G0,W5,D3,L1,V0,M1} I { ! subset( skol12, cross_product( skol13,
% 2.44/2.81 skol14 ) ) }.
% 2.44/2.81 (94) {G1,W9,D2,L3,V3,M3} S(0);r(56);r(56);r(56) { ! subset( X, Y ), !
% 2.44/2.81 subset( Y, Z ), subset( X, Z ) }.
% 2.44/2.81 (98) {G1,W3,D3,L1,V1,M1} S(34);r(56) { ! empty( power_set( X ) ) }.
% 2.44/2.81 (220) {G1,W11,D4,L2,V3,M2} S(15);r(56);r(56) { ! ilf_type( Z, relation_type
% 2.44/2.81 ( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y ) ) ) }.
% 2.44/2.81 (243) {G2,W6,D2,L2,V1,M2} R(94,58) { ! subset( skol15, X ), subset( skol12
% 2.44/2.81 , X ) }.
% 2.44/2.81 (248) {G3,W5,D3,L1,V0,M1} R(243,59) { ! subset( skol15, cross_product(
% 2.44/2.81 skol13, skol14 ) ) }.
% 2.44/2.81 (262) {G1,W9,D3,L2,V2,M2} S(19);r(56);r(56) { ! alpha2( X, Y, skol4( X, Y )
% 2.44/2.81 ), subset( X, Y ) }.
% 2.44/2.81 (350) {G1,W9,D4,L2,V2,M2} S(24);r(56);r(56) { ! ilf_type( Y, subset_type( X
% 2.44/2.81 ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 2.44/2.81 (375) {G1,W8,D3,L2,V3,M2} S(28);r(56);r(56);r(56) { ! member( X, power_set
% 2.44/2.81 ( Y ) ), alpha3( X, Y, Z ) }.
% 2.44/2.81 (431) {G1,W11,D2,L3,V4,M3} R(31,21) { ! alpha3( X, Y, Z ), member( Z, Y ),
% 2.44/2.81 alpha2( X, T, Z ) }.
% 2.44/2.81 (450) {G1,W9,D3,L3,V2,M3} S(36);r(56);r(56) { empty( Y ), ! ilf_type( X,
% 2.44/2.81 member_type( Y ) ), member( X, Y ) }.
% 2.44/2.81 (8455) {G2,W6,D4,L1,V0,M1} R(220,57) { ilf_type( skol15, subset_type(
% 2.44/2.81 cross_product( skol13, skol14 ) ) ) }.
% 2.44/2.81 (14358) {G3,W7,D5,L1,V0,M1} R(350,8455) { ilf_type( skol15, member_type(
% 2.44/2.81 power_set( cross_product( skol13, skol14 ) ) ) ) }.
% 2.44/2.81 (21151) {G2,W12,D2,L3,V5,M3} R(431,22) { ! alpha3( X, Y, Z ), alpha2( X, T
% 2.44/2.81 , Z ), alpha2( U, Y, Z ) }.
% 2.44/2.81 (21153) {G3,W8,D2,L2,V3,M2} F(21151) { ! alpha3( X, Y, Z ), alpha2( X, Y, Z
% 2.44/2.81 ) }.
% 2.44/2.81 (22937) {G4,W6,D4,L1,V0,M1} R(450,14358);r(98) { member( skol15, power_set
% 2.44/2.81 ( cross_product( skol13, skol14 ) ) ) }.
% 2.44/2.81 (27402) {G5,W6,D3,L1,V1,M1} R(22937,375) { alpha3( skol15, cross_product(
% 2.44/2.81 skol13, skol14 ), X ) }.
% 2.44/2.81 (28566) {G6,W6,D3,L1,V1,M1} R(27402,21153) { alpha2( skol15, cross_product
% 2.44/2.81 ( skol13, skol14 ), X ) }.
% 2.44/2.81 (28583) {G7,W0,D0,L0,V0,M0} R(28566,262);r(248) { }.
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 % SZS output end Refutation
% 2.44/2.81 found a proof!
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 Unprocessed initial clauses:
% 2.44/2.81
% 2.44/2.81 (28585) {G0,W18,D2,L6,V3,M6} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! ilf_type( Z, set_type ), ! subset( X, Y ), ! subset( Y, Z )
% 2.44/2.81 , subset( X, Z ) }.
% 2.44/2.81 (28586) {G0,W20,D3,L5,V6,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! ilf_type( Z, set_type ), ! member( Z, cross_product( X, Y )
% 2.44/2.81 ), ilf_type( skol1( T, U, W ), set_type ) }.
% 2.44/2.81 (28587) {G0,W22,D3,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! ilf_type( Z, set_type ), ! member( Z, cross_product( X, Y )
% 2.44/2.81 ), alpha1( X, Y, Z, skol1( X, Y, Z ) ) }.
% 2.44/2.81 (28588) {G0,W22,D3,L6,V4,M6} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! ilf_type( Z, set_type ), ! ilf_type( T, set_type ), !
% 2.44/2.81 alpha1( X, Y, Z, T ), member( Z, cross_product( X, Y ) ) }.
% 2.44/2.81 (28589) {G0,W12,D3,L2,V8,M2} { ! alpha1( X, Y, Z, T ), ilf_type( skol2( U
% 2.44/2.81 , W, V0, V1 ), set_type ) }.
% 2.44/2.81 (28590) {G0,W15,D3,L2,V4,M2} { ! alpha1( X, Y, Z, T ), alpha8( X, Y, Z, T
% 2.44/2.81 , skol2( X, Y, Z, T ) ) }.
% 2.44/2.81 (28591) {G0,W14,D2,L3,V5,M3} { ! ilf_type( U, set_type ), ! alpha8( X, Y,
% 2.44/2.81 Z, T, U ), alpha1( X, Y, Z, T ) }.
% 2.44/2.81 (28592) {G0,W9,D2,L2,V5,M2} { ! alpha8( X, Y, Z, T, U ), member( T, X )
% 2.44/2.81 }.
% 2.44/2.81 (28593) {G0,W11,D2,L2,V5,M2} { ! alpha8( X, Y, Z, T, U ), alpha5( Y, Z, T
% 2.44/2.81 , U ) }.
% 2.44/2.81 (28594) {G0,W14,D2,L3,V5,M3} { ! member( T, X ), ! alpha5( Y, Z, T, U ),
% 2.44/2.81 alpha8( X, Y, Z, T, U ) }.
% 2.44/2.81 (28595) {G0,W8,D2,L2,V4,M2} { ! alpha5( X, Y, Z, T ), member( T, X ) }.
% 2.44/2.81 (28596) {G0,W10,D3,L2,V4,M2} { ! alpha5( X, Y, Z, T ), Y = ordered_pair( Z
% 2.44/2.81 , T ) }.
% 2.44/2.81 (28597) {G0,W13,D3,L3,V4,M3} { ! member( T, X ), ! Y = ordered_pair( Z, T
% 2.44/2.81 ), alpha5( X, Y, Z, T ) }.
% 2.44/2.81 (28598) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ilf_type( cross_product( X, Y ), set_type ) }.
% 2.44/2.81 (28599) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 2.44/2.81 ilf_type( Z, relation_type( X, Y ) ) }.
% 2.44/2.81 (28600) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z,
% 2.44/2.81 subset_type( cross_product( X, Y ) ) ) }.
% 2.44/2.81 (28601) {G0,W13,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ilf_type( skol3( X, Y ), relation_type( Y, X ) ) }.
% 2.44/2.81 (28602) {G0,W16,D2,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! subset( X, Y ), ! ilf_type( Z, set_type ), alpha2( X, Y, Z
% 2.44/2.81 ) }.
% 2.44/2.81 (28603) {G0,W14,D3,L4,V4,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ilf_type( skol4( Z, T ), set_type ), subset( X, Y ) }.
% 2.44/2.81 (28604) {G0,W15,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! alpha2( X, Y, skol4( X, Y ) ), subset( X, Y ) }.
% 2.44/2.81 (28605) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Y, Z ), ! member( Z, X ),
% 2.44/2.81 member( Z, Y ) }.
% 2.44/2.81 (28606) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha2( X, Y, Z ) }.
% 2.44/2.81 (28607) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha2( X, Y, Z ) }.
% 2.44/2.81 (28608) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ilf_type( ordered_pair( X, Y ), set_type ) }.
% 2.44/2.81 (28609) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type(
% 2.44/2.81 power_set( X ) ) ) }.
% 2.44/2.81 (28610) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ), ilf_type( Y,
% 2.44/2.81 subset_type( X ) ) }.
% 2.44/2.81 (28611) {G0,W8,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type( skol5(
% 2.44/2.81 X ), subset_type( X ) ) }.
% 2.44/2.81 (28612) {G0,W6,D2,L2,V1,M2} { ! ilf_type( X, set_type ), subset( X, X )
% 2.44/2.81 }.
% 2.44/2.81 (28613) {G0,W17,D3,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z, set_type ),
% 2.44/2.81 alpha3( X, Y, Z ) }.
% 2.44/2.81 (28614) {G0,W15,D3,L4,V4,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ilf_type( skol6( Z, T ), set_type ), member( X, power_set( Y
% 2.44/2.81 ) ) }.
% 2.44/2.81 (28615) {G0,W16,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! alpha3( X, Y, skol6( X, Y ) ), member( X, power_set( Y ) )
% 2.44/2.81 }.
% 2.44/2.81 (28616) {G0,W10,D2,L3,V3,M3} { ! alpha3( X, Y, Z ), ! member( Z, X ),
% 2.44/2.81 member( Z, Y ) }.
% 2.44/2.81 (28617) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha3( X, Y, Z ) }.
% 2.44/2.81 (28618) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha3( X, Y, Z ) }.
% 2.44/2.81 (28619) {G0,W6,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ! empty(
% 2.44/2.81 power_set( X ) ) }.
% 2.44/2.81 (28620) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type(
% 2.44/2.81 power_set( X ), set_type ) }.
% 2.44/2.81 (28621) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y
% 2.44/2.81 ) }.
% 2.44/2.81 (28622) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X, member_type( Y )
% 2.44/2.81 ) }.
% 2.44/2.81 (28623) {G0,W10,D3,L3,V1,M3} { empty( X ), ! ilf_type( X, set_type ),
% 2.44/2.81 ilf_type( skol7( X ), member_type( X ) ) }.
% 2.44/2.81 (28624) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! empty( X ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! member( Y, X ) }.
% 2.44/2.81 (28625) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol8(
% 2.44/2.81 Y ), set_type ), empty( X ) }.
% 2.44/2.81 (28626) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), member( skol8( X
% 2.44/2.81 ), X ), empty( X ) }.
% 2.44/2.81 (28627) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! relation_like
% 2.44/2.81 ( X ), ! ilf_type( Y, set_type ), alpha6( X, Y ) }.
% 2.44/2.81 (28628) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol9(
% 2.44/2.81 Y ), set_type ), relation_like( X ) }.
% 2.44/2.81 (28629) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), ! alpha6( X,
% 2.44/2.81 skol9( X ) ), relation_like( X ) }.
% 2.44/2.81 (28630) {G0,W8,D2,L3,V2,M3} { ! alpha6( X, Y ), ! member( Y, X ), alpha4(
% 2.44/2.81 Y ) }.
% 2.44/2.81 (28631) {G0,W6,D2,L2,V2,M2} { member( Y, X ), alpha6( X, Y ) }.
% 2.44/2.81 (28632) {G0,W5,D2,L2,V2,M2} { ! alpha4( Y ), alpha6( X, Y ) }.
% 2.44/2.81 (28633) {G0,W6,D3,L2,V2,M2} { ! alpha4( X ), ilf_type( skol10( Y ),
% 2.44/2.81 set_type ) }.
% 2.44/2.81 (28634) {G0,W6,D3,L2,V1,M2} { ! alpha4( X ), alpha7( X, skol10( X ) ) }.
% 2.44/2.81 (28635) {G0,W8,D2,L3,V2,M3} { ! ilf_type( Y, set_type ), ! alpha7( X, Y )
% 2.44/2.81 , alpha4( X ) }.
% 2.44/2.81 (28636) {G0,W8,D3,L2,V4,M2} { ! alpha7( X, Y ), ilf_type( skol11( Z, T ),
% 2.44/2.81 set_type ) }.
% 2.44/2.81 (28637) {G0,W10,D4,L2,V2,M2} { ! alpha7( X, Y ), X = ordered_pair( Y,
% 2.44/2.81 skol11( X, Y ) ) }.
% 2.44/2.81 (28638) {G0,W11,D3,L3,V3,M3} { ! ilf_type( Z, set_type ), ! X =
% 2.44/2.81 ordered_pair( Y, Z ), alpha7( X, Y ) }.
% 2.44/2.81 (28639) {G0,W7,D2,L3,V1,M3} { ! empty( X ), ! ilf_type( X, set_type ),
% 2.44/2.81 relation_like( X ) }.
% 2.44/2.81 (28640) {G0,W14,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 2.44/2.81 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 2.44/2.81 relation_like( Z ) }.
% 2.44/2.81 (28641) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 2.44/2.81 (28642) {G0,W3,D2,L1,V0,M1} { ilf_type( skol12, set_type ) }.
% 2.44/2.81 (28643) {G0,W3,D2,L1,V0,M1} { ilf_type( skol13, set_type ) }.
% 2.44/2.81 (28644) {G0,W3,D2,L1,V0,M1} { ilf_type( skol14, set_type ) }.
% 2.44/2.81 (28645) {G0,W5,D3,L1,V0,M1} { ilf_type( skol15, relation_type( skol13,
% 2.44/2.81 skol14 ) ) }.
% 2.44/2.81 (28646) {G0,W3,D2,L1,V0,M1} { subset( skol12, skol15 ) }.
% 2.44/2.81 (28647) {G0,W5,D3,L1,V0,M1} { ! subset( skol12, cross_product( skol13,
% 2.44/2.81 skol14 ) ) }.
% 2.44/2.81
% 2.44/2.81
% 2.44/2.81 Total Proof:
% 2.44/2.81
% 2.44/2.81 subsumption: (0) {G0,W18,D2,L6,V3,M6} I { ! ilf_type( X, set_type ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! subset( X, Y ), !
% 2.44/2.81 subset( Y, Z ), subset( X, Z ) }.
% 2.44/2.81 parent0: (28585) {G0,W18,D2,L6,V3,M6} { ! ilf_type( X, set_type ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! subset( X, Y ), !
% 2.44/2.81 subset( Y, Z ), subset( X, Z ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 Y := Y
% 2.44/2.81 Z := Z
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 1 ==> 1
% 2.44/2.81 2 ==> 2
% 2.44/2.81 3 ==> 3
% 2.44/2.81 4 ==> 4
% 2.44/2.81 5 ==> 5
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (15) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type
% 2.44/2.81 ( Z, subset_type( cross_product( X, Y ) ) ) }.
% 2.44/2.81 parent0: (28600) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type
% 2.44/2.81 ( Z, subset_type( cross_product( X, Y ) ) ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 Y := Y
% 2.44/2.81 Z := Z
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 1 ==> 1
% 2.44/2.81 2 ==> 2
% 2.44/2.81 3 ==> 3
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (19) {G0,W15,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! alpha2( X, Y, skol4( X, Y ) ), subset( X, Y )
% 2.44/2.81 }.
% 2.44/2.81 parent0: (28604) {G0,W15,D3,L4,V2,M4} { ! ilf_type( X, set_type ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! alpha2( X, Y, skol4( X, Y ) ), subset( X, Y )
% 2.44/2.81 }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 Y := Y
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 1 ==> 1
% 2.44/2.81 2 ==> 2
% 2.44/2.81 3 ==> 3
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (21) {G0,W7,D2,L2,V3,M2} I { member( Z, X ), alpha2( X, Y, Z )
% 2.44/2.81 }.
% 2.44/2.81 parent0: (28606) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha2( X, Y, Z )
% 2.44/2.81 }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 Y := Y
% 2.44/2.81 Z := Z
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 1 ==> 1
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (22) {G0,W7,D2,L2,V3,M2} I { ! member( Z, Y ), alpha2( X, Y, Z
% 2.44/2.81 ) }.
% 2.44/2.81 parent0: (28607) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha2( X, Y, Z )
% 2.44/2.81 }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 Y := Y
% 2.44/2.81 Z := Z
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 1 ==> 1
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (24) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y,
% 2.44/2.81 member_type( power_set( X ) ) ) }.
% 2.44/2.81 parent0: (28609) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y,
% 2.44/2.81 member_type( power_set( X ) ) ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 Y := Y
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 1 ==> 1
% 2.44/2.81 2 ==> 2
% 2.44/2.81 3 ==> 3
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (28) {G0,W17,D3,L5,V3,M5} I { ! ilf_type( X, set_type ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z,
% 2.44/2.81 set_type ), alpha3( X, Y, Z ) }.
% 2.44/2.81 parent0: (28613) {G0,W17,D3,L5,V3,M5} { ! ilf_type( X, set_type ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z,
% 2.44/2.81 set_type ), alpha3( X, Y, Z ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 Y := Y
% 2.44/2.81 Z := Z
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 1 ==> 1
% 2.44/2.81 2 ==> 2
% 2.44/2.81 3 ==> 3
% 2.44/2.81 4 ==> 4
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (31) {G0,W10,D2,L3,V3,M3} I { ! alpha3( X, Y, Z ), ! member( Z
% 2.44/2.81 , X ), member( Z, Y ) }.
% 2.44/2.81 parent0: (28616) {G0,W10,D2,L3,V3,M3} { ! alpha3( X, Y, Z ), ! member( Z,
% 2.44/2.81 X ), member( Z, Y ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 Y := Y
% 2.44/2.81 Z := Z
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 1 ==> 1
% 2.44/2.81 2 ==> 2
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (34) {G0,W6,D3,L2,V1,M2} I { ! ilf_type( X, set_type ), !
% 2.44/2.81 empty( power_set( X ) ) }.
% 2.44/2.81 parent0: (28619) {G0,W6,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ! empty
% 2.44/2.81 ( power_set( X ) ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 1 ==> 1
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (36) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty
% 2.44/2.81 ( Y ), ! ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ),
% 2.44/2.81 member( X, Y ) }.
% 2.44/2.81 parent0: (28621) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty(
% 2.44/2.81 Y ), ! ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member
% 2.44/2.81 ( X, Y ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 Y := Y
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 1 ==> 1
% 2.44/2.81 2 ==> 2
% 2.44/2.81 3 ==> 3
% 2.44/2.81 4 ==> 4
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.81 parent0: (28641) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (57) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol15, relation_type(
% 2.44/2.81 skol13, skol14 ) ) }.
% 2.44/2.81 parent0: (28645) {G0,W5,D3,L1,V0,M1} { ilf_type( skol15, relation_type(
% 2.44/2.81 skol13, skol14 ) ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (58) {G0,W3,D2,L1,V0,M1} I { subset( skol12, skol15 ) }.
% 2.44/2.81 parent0: (28646) {G0,W3,D2,L1,V0,M1} { subset( skol12, skol15 ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (59) {G0,W5,D3,L1,V0,M1} I { ! subset( skol12, cross_product(
% 2.44/2.81 skol13, skol14 ) ) }.
% 2.44/2.81 parent0: (28647) {G0,W5,D3,L1,V0,M1} { ! subset( skol12, cross_product(
% 2.44/2.81 skol13, skol14 ) ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 resolution: (29286) {G1,W15,D2,L5,V3,M5} { ! ilf_type( Y, set_type ), !
% 2.44/2.81 ilf_type( Z, set_type ), ! subset( X, Y ), ! subset( Y, Z ), subset( X, Z
% 2.44/2.81 ) }.
% 2.44/2.81 parent0[0]: (0) {G0,W18,D2,L6,V3,M6} I { ! ilf_type( X, set_type ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! ilf_type( Z, set_type ), ! subset( X, Y ), !
% 2.44/2.81 subset( Y, Z ), subset( X, Z ) }.
% 2.44/2.81 parent1[0]: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 Y := Y
% 2.44/2.81 Z := Z
% 2.44/2.81 end
% 2.44/2.81 substitution1:
% 2.44/2.81 X := X
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 resolution: (29295) {G1,W12,D2,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 2.44/2.81 subset( Z, X ), ! subset( X, Y ), subset( Z, Y ) }.
% 2.44/2.81 parent0[0]: (29286) {G1,W15,D2,L5,V3,M5} { ! ilf_type( Y, set_type ), !
% 2.44/2.81 ilf_type( Z, set_type ), ! subset( X, Y ), ! subset( Y, Z ), subset( X, Z
% 2.44/2.81 ) }.
% 2.44/2.81 parent1[0]: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := Z
% 2.44/2.81 Y := X
% 2.44/2.81 Z := Y
% 2.44/2.81 end
% 2.44/2.81 substitution1:
% 2.44/2.81 X := X
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 resolution: (29298) {G1,W9,D2,L3,V3,M3} { ! subset( Y, Z ), ! subset( Z, X
% 2.44/2.81 ), subset( Y, X ) }.
% 2.44/2.81 parent0[0]: (29295) {G1,W12,D2,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 2.44/2.81 subset( Z, X ), ! subset( X, Y ), subset( Z, Y ) }.
% 2.44/2.81 parent1[0]: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := Z
% 2.44/2.81 Y := X
% 2.44/2.81 Z := Y
% 2.44/2.81 end
% 2.44/2.81 substitution1:
% 2.44/2.81 X := X
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (94) {G1,W9,D2,L3,V3,M3} S(0);r(56);r(56);r(56) { ! subset( X
% 2.44/2.81 , Y ), ! subset( Y, Z ), subset( X, Z ) }.
% 2.44/2.81 parent0: (29298) {G1,W9,D2,L3,V3,M3} { ! subset( Y, Z ), ! subset( Z, X )
% 2.44/2.81 , subset( Y, X ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := Z
% 2.44/2.81 Y := X
% 2.44/2.81 Z := Y
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 1 ==> 1
% 2.44/2.81 2 ==> 2
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 resolution: (29300) {G1,W3,D3,L1,V1,M1} { ! empty( power_set( X ) ) }.
% 2.44/2.81 parent0[0]: (34) {G0,W6,D3,L2,V1,M2} I { ! ilf_type( X, set_type ), ! empty
% 2.44/2.81 ( power_set( X ) ) }.
% 2.44/2.81 parent1[0]: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 end
% 2.44/2.81 substitution1:
% 2.44/2.81 X := X
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (98) {G1,W3,D3,L1,V1,M1} S(34);r(56) { ! empty( power_set( X )
% 2.44/2.81 ) }.
% 2.44/2.81 parent0: (29300) {G1,W3,D3,L1,V1,M1} { ! empty( power_set( X ) ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 resolution: (29303) {G1,W14,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 2.44/2.81 ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z, subset_type(
% 2.44/2.81 cross_product( X, Y ) ) ) }.
% 2.44/2.81 parent0[0]: (15) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 2.44/2.81 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type
% 2.44/2.81 ( Z, subset_type( cross_product( X, Y ) ) ) }.
% 2.44/2.81 parent1[0]: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 Y := Y
% 2.44/2.81 Z := Z
% 2.44/2.81 end
% 2.44/2.81 substitution1:
% 2.44/2.81 X := X
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 resolution: (29305) {G1,W11,D4,L2,V3,M2} { ! ilf_type( Y, relation_type( Z
% 2.44/2.81 , X ) ), ilf_type( Y, subset_type( cross_product( Z, X ) ) ) }.
% 2.44/2.81 parent0[0]: (29303) {G1,W14,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 2.44/2.81 ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z, subset_type(
% 2.44/2.81 cross_product( X, Y ) ) ) }.
% 2.44/2.81 parent1[0]: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := Z
% 2.44/2.81 Y := X
% 2.44/2.81 Z := Y
% 2.44/2.81 end
% 2.44/2.81 substitution1:
% 2.44/2.81 X := X
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (220) {G1,W11,D4,L2,V3,M2} S(15);r(56);r(56) { ! ilf_type( Z,
% 2.44/2.81 relation_type( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y )
% 2.44/2.81 ) ) }.
% 2.44/2.81 parent0: (29305) {G1,W11,D4,L2,V3,M2} { ! ilf_type( Y, relation_type( Z, X
% 2.44/2.81 ) ), ilf_type( Y, subset_type( cross_product( Z, X ) ) ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := Y
% 2.44/2.81 Y := Z
% 2.44/2.81 Z := X
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 1 ==> 1
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 resolution: (29306) {G1,W6,D2,L2,V1,M2} { ! subset( skol15, X ), subset(
% 2.44/2.81 skol12, X ) }.
% 2.44/2.81 parent0[0]: (94) {G1,W9,D2,L3,V3,M3} S(0);r(56);r(56);r(56) { ! subset( X,
% 2.44/2.81 Y ), ! subset( Y, Z ), subset( X, Z ) }.
% 2.44/2.81 parent1[0]: (58) {G0,W3,D2,L1,V0,M1} I { subset( skol12, skol15 ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := skol12
% 2.44/2.81 Y := skol15
% 2.44/2.81 Z := X
% 2.44/2.81 end
% 2.44/2.81 substitution1:
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 subsumption: (243) {G2,W6,D2,L2,V1,M2} R(94,58) { ! subset( skol15, X ),
% 2.44/2.81 subset( skol12, X ) }.
% 2.44/2.81 parent0: (29306) {G1,W6,D2,L2,V1,M2} { ! subset( skol15, X ), subset(
% 2.44/2.81 skol12, X ) }.
% 2.44/2.81 substitution0:
% 2.44/2.81 X := X
% 2.44/2.81 end
% 2.44/2.81 permutation0:
% 2.44/2.81 0 ==> 0
% 2.44/2.81 1 ==> 1
% 2.44/2.81 end
% 2.44/2.81
% 2.44/2.81 resolution: (29308) {G1,W5,D3,L1,V0,M1} { ! subset( skol15, cross_product
% 2.44/2.81 ( skol13, skol14 ) ) }.
% 2.44/2.81 parent0[0]: (59) {G0,W5,D3,L1,V0,M1} I { ! subset( skol12, cross_product(
% 2.44/2.82 skol13, skol14 ) ) }.
% 2.44/2.82 parent1[1]: (243) {G2,W6,D2,L2,V1,M2} R(94,58) { ! subset( skol15, X ),
% 2.44/2.82 subset( skol12, X ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 X := cross_product( skol13, skol14 )
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 subsumption: (248) {G3,W5,D3,L1,V0,M1} R(243,59) { ! subset( skol15,
% 2.44/2.82 cross_product( skol13, skol14 ) ) }.
% 2.44/2.82 parent0: (29308) {G1,W5,D3,L1,V0,M1} { ! subset( skol15, cross_product(
% 2.44/2.82 skol13, skol14 ) ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 end
% 2.44/2.82 permutation0:
% 2.44/2.82 0 ==> 0
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29311) {G1,W12,D3,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 2.44/2.82 alpha2( X, Y, skol4( X, Y ) ), subset( X, Y ) }.
% 2.44/2.82 parent0[0]: (19) {G0,W15,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 2.44/2.82 ilf_type( Y, set_type ), ! alpha2( X, Y, skol4( X, Y ) ), subset( X, Y )
% 2.44/2.82 }.
% 2.44/2.82 parent1[0]: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := X
% 2.44/2.82 Y := Y
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 X := X
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29313) {G1,W9,D3,L2,V2,M2} { ! alpha2( Y, X, skol4( Y, X ) )
% 2.44/2.82 , subset( Y, X ) }.
% 2.44/2.82 parent0[0]: (29311) {G1,W12,D3,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 2.44/2.82 alpha2( X, Y, skol4( X, Y ) ), subset( X, Y ) }.
% 2.44/2.82 parent1[0]: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := Y
% 2.44/2.82 Y := X
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 X := X
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 subsumption: (262) {G1,W9,D3,L2,V2,M2} S(19);r(56);r(56) { ! alpha2( X, Y,
% 2.44/2.82 skol4( X, Y ) ), subset( X, Y ) }.
% 2.44/2.82 parent0: (29313) {G1,W9,D3,L2,V2,M2} { ! alpha2( Y, X, skol4( Y, X ) ),
% 2.44/2.82 subset( Y, X ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := Y
% 2.44/2.82 Y := X
% 2.44/2.82 end
% 2.44/2.82 permutation0:
% 2.44/2.82 0 ==> 0
% 2.44/2.82 1 ==> 1
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29316) {G1,W12,D4,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 2.44/2.82 ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type( power_set( X )
% 2.44/2.82 ) ) }.
% 2.44/2.82 parent0[0]: (24) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 2.44/2.82 ilf_type( Y, set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y,
% 2.44/2.82 member_type( power_set( X ) ) ) }.
% 2.44/2.82 parent1[0]: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := X
% 2.44/2.82 Y := Y
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 X := X
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29318) {G1,W9,D4,L2,V2,M2} { ! ilf_type( X, subset_type( Y )
% 2.44/2.82 ), ilf_type( X, member_type( power_set( Y ) ) ) }.
% 2.44/2.82 parent0[0]: (29316) {G1,W12,D4,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 2.44/2.82 ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type( power_set( X )
% 2.44/2.82 ) ) }.
% 2.44/2.82 parent1[0]: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := Y
% 2.44/2.82 Y := X
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 X := X
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 subsumption: (350) {G1,W9,D4,L2,V2,M2} S(24);r(56);r(56) { ! ilf_type( Y,
% 2.44/2.82 subset_type( X ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 2.44/2.82 parent0: (29318) {G1,W9,D4,L2,V2,M2} { ! ilf_type( X, subset_type( Y ) ),
% 2.44/2.82 ilf_type( X, member_type( power_set( Y ) ) ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := Y
% 2.44/2.82 Y := X
% 2.44/2.82 end
% 2.44/2.82 permutation0:
% 2.44/2.82 0 ==> 0
% 2.44/2.82 1 ==> 1
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29336) {G1,W14,D3,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 2.44/2.82 member( X, power_set( Y ) ), ! ilf_type( Z, set_type ), alpha3( X, Y, Z )
% 2.44/2.82 }.
% 2.44/2.82 parent0[0]: (28) {G0,W17,D3,L5,V3,M5} I { ! ilf_type( X, set_type ), !
% 2.44/2.82 ilf_type( Y, set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z,
% 2.44/2.82 set_type ), alpha3( X, Y, Z ) }.
% 2.44/2.82 parent1[0]: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := X
% 2.44/2.82 Y := Y
% 2.44/2.82 Z := Z
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 X := X
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29343) {G1,W11,D3,L3,V3,M3} { ! member( Y, power_set( X ) ),
% 2.44/2.82 ! ilf_type( Z, set_type ), alpha3( Y, X, Z ) }.
% 2.44/2.82 parent0[0]: (29336) {G1,W14,D3,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 2.44/2.82 member( X, power_set( Y ) ), ! ilf_type( Z, set_type ), alpha3( X, Y, Z )
% 2.44/2.82 }.
% 2.44/2.82 parent1[0]: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := Y
% 2.44/2.82 Y := X
% 2.44/2.82 Z := Z
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 X := X
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29345) {G1,W8,D3,L2,V3,M2} { ! member( X, power_set( Y ) ),
% 2.44/2.82 alpha3( X, Y, Z ) }.
% 2.44/2.82 parent0[1]: (29343) {G1,W11,D3,L3,V3,M3} { ! member( Y, power_set( X ) ),
% 2.44/2.82 ! ilf_type( Z, set_type ), alpha3( Y, X, Z ) }.
% 2.44/2.82 parent1[0]: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := Y
% 2.44/2.82 Y := X
% 2.44/2.82 Z := Z
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 X := Z
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 subsumption: (375) {G1,W8,D3,L2,V3,M2} S(28);r(56);r(56);r(56) { ! member(
% 2.44/2.82 X, power_set( Y ) ), alpha3( X, Y, Z ) }.
% 2.44/2.82 parent0: (29345) {G1,W8,D3,L2,V3,M2} { ! member( X, power_set( Y ) ),
% 2.44/2.82 alpha3( X, Y, Z ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := X
% 2.44/2.82 Y := Y
% 2.44/2.82 Z := Z
% 2.44/2.82 end
% 2.44/2.82 permutation0:
% 2.44/2.82 0 ==> 0
% 2.44/2.82 1 ==> 1
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29346) {G1,W11,D2,L3,V4,M3} { ! alpha3( X, Y, Z ), member( Z
% 2.44/2.82 , Y ), alpha2( X, T, Z ) }.
% 2.44/2.82 parent0[1]: (31) {G0,W10,D2,L3,V3,M3} I { ! alpha3( X, Y, Z ), ! member( Z
% 2.44/2.82 , X ), member( Z, Y ) }.
% 2.44/2.82 parent1[0]: (21) {G0,W7,D2,L2,V3,M2} I { member( Z, X ), alpha2( X, Y, Z )
% 2.44/2.82 }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := X
% 2.44/2.82 Y := Y
% 2.44/2.82 Z := Z
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 X := X
% 2.44/2.82 Y := T
% 2.44/2.82 Z := Z
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 subsumption: (431) {G1,W11,D2,L3,V4,M3} R(31,21) { ! alpha3( X, Y, Z ),
% 2.44/2.82 member( Z, Y ), alpha2( X, T, Z ) }.
% 2.44/2.82 parent0: (29346) {G1,W11,D2,L3,V4,M3} { ! alpha3( X, Y, Z ), member( Z, Y
% 2.44/2.82 ), alpha2( X, T, Z ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := X
% 2.44/2.82 Y := Y
% 2.44/2.82 Z := Z
% 2.44/2.82 T := T
% 2.44/2.82 end
% 2.44/2.82 permutation0:
% 2.44/2.82 0 ==> 0
% 2.44/2.82 1 ==> 1
% 2.44/2.82 2 ==> 2
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29349) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 2.44/2.82 set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 2.44/2.82 parent0[0]: (36) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty
% 2.44/2.82 ( Y ), ! ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ),
% 2.44/2.82 member( X, Y ) }.
% 2.44/2.82 parent1[0]: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := X
% 2.44/2.82 Y := Y
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 X := X
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29351) {G1,W9,D3,L3,V2,M3} { empty( X ), ! ilf_type( Y,
% 2.44/2.82 member_type( X ) ), member( Y, X ) }.
% 2.44/2.82 parent0[1]: (29349) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 2.44/2.82 set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 2.44/2.82 parent1[0]: (56) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := Y
% 2.44/2.82 Y := X
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 X := X
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 subsumption: (450) {G1,W9,D3,L3,V2,M3} S(36);r(56);r(56) { empty( Y ), !
% 2.44/2.82 ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 2.44/2.82 parent0: (29351) {G1,W9,D3,L3,V2,M3} { empty( X ), ! ilf_type( Y,
% 2.44/2.82 member_type( X ) ), member( Y, X ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := Y
% 2.44/2.82 Y := X
% 2.44/2.82 end
% 2.44/2.82 permutation0:
% 2.44/2.82 0 ==> 0
% 2.44/2.82 1 ==> 1
% 2.44/2.82 2 ==> 2
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29352) {G1,W6,D4,L1,V0,M1} { ilf_type( skol15, subset_type(
% 2.44/2.82 cross_product( skol13, skol14 ) ) ) }.
% 2.44/2.82 parent0[0]: (220) {G1,W11,D4,L2,V3,M2} S(15);r(56);r(56) { ! ilf_type( Z,
% 2.44/2.82 relation_type( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y )
% 2.44/2.82 ) ) }.
% 2.44/2.82 parent1[0]: (57) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol15, relation_type(
% 2.44/2.82 skol13, skol14 ) ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := skol13
% 2.44/2.82 Y := skol14
% 2.44/2.82 Z := skol15
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 subsumption: (8455) {G2,W6,D4,L1,V0,M1} R(220,57) { ilf_type( skol15,
% 2.44/2.82 subset_type( cross_product( skol13, skol14 ) ) ) }.
% 2.44/2.82 parent0: (29352) {G1,W6,D4,L1,V0,M1} { ilf_type( skol15, subset_type(
% 2.44/2.82 cross_product( skol13, skol14 ) ) ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 end
% 2.44/2.82 permutation0:
% 2.44/2.82 0 ==> 0
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29353) {G2,W7,D5,L1,V0,M1} { ilf_type( skol15, member_type(
% 2.44/2.82 power_set( cross_product( skol13, skol14 ) ) ) ) }.
% 2.44/2.82 parent0[0]: (350) {G1,W9,D4,L2,V2,M2} S(24);r(56);r(56) { ! ilf_type( Y,
% 2.44/2.82 subset_type( X ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 2.44/2.82 parent1[0]: (8455) {G2,W6,D4,L1,V0,M1} R(220,57) { ilf_type( skol15,
% 2.44/2.82 subset_type( cross_product( skol13, skol14 ) ) ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := cross_product( skol13, skol14 )
% 2.44/2.82 Y := skol15
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 subsumption: (14358) {G3,W7,D5,L1,V0,M1} R(350,8455) { ilf_type( skol15,
% 2.44/2.82 member_type( power_set( cross_product( skol13, skol14 ) ) ) ) }.
% 2.44/2.82 parent0: (29353) {G2,W7,D5,L1,V0,M1} { ilf_type( skol15, member_type(
% 2.44/2.82 power_set( cross_product( skol13, skol14 ) ) ) ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 end
% 2.44/2.82 permutation0:
% 2.44/2.82 0 ==> 0
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29354) {G1,W12,D2,L3,V5,M3} { alpha2( Z, Y, X ), ! alpha3( T
% 2.44/2.82 , Y, X ), alpha2( T, U, X ) }.
% 2.44/2.82 parent0[0]: (22) {G0,W7,D2,L2,V3,M2} I { ! member( Z, Y ), alpha2( X, Y, Z
% 2.44/2.82 ) }.
% 2.44/2.82 parent1[1]: (431) {G1,W11,D2,L3,V4,M3} R(31,21) { ! alpha3( X, Y, Z ),
% 2.44/2.82 member( Z, Y ), alpha2( X, T, Z ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := Z
% 2.44/2.82 Y := Y
% 2.44/2.82 Z := X
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 X := T
% 2.44/2.82 Y := Y
% 2.44/2.82 Z := X
% 2.44/2.82 T := U
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 subsumption: (21151) {G2,W12,D2,L3,V5,M3} R(431,22) { ! alpha3( X, Y, Z ),
% 2.44/2.82 alpha2( X, T, Z ), alpha2( U, Y, Z ) }.
% 2.44/2.82 parent0: (29354) {G1,W12,D2,L3,V5,M3} { alpha2( Z, Y, X ), ! alpha3( T, Y
% 2.44/2.82 , X ), alpha2( T, U, X ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := Z
% 2.44/2.82 Y := Y
% 2.44/2.82 Z := U
% 2.44/2.82 T := X
% 2.44/2.82 U := T
% 2.44/2.82 end
% 2.44/2.82 permutation0:
% 2.44/2.82 0 ==> 2
% 2.44/2.82 1 ==> 0
% 2.44/2.82 2 ==> 1
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 factor: (29356) {G2,W8,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), alpha2( X, Y, Z
% 2.44/2.82 ) }.
% 2.44/2.82 parent0[1, 2]: (21151) {G2,W12,D2,L3,V5,M3} R(431,22) { ! alpha3( X, Y, Z )
% 2.44/2.82 , alpha2( X, T, Z ), alpha2( U, Y, Z ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := X
% 2.44/2.82 Y := Y
% 2.44/2.82 Z := Z
% 2.44/2.82 T := Y
% 2.44/2.82 U := X
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 subsumption: (21153) {G3,W8,D2,L2,V3,M2} F(21151) { ! alpha3( X, Y, Z ),
% 2.44/2.82 alpha2( X, Y, Z ) }.
% 2.44/2.82 parent0: (29356) {G2,W8,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), alpha2( X, Y,
% 2.44/2.82 Z ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := X
% 2.44/2.82 Y := Y
% 2.44/2.82 Z := Z
% 2.44/2.82 end
% 2.44/2.82 permutation0:
% 2.44/2.82 0 ==> 0
% 2.44/2.82 1 ==> 1
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29357) {G2,W11,D4,L2,V0,M2} { empty( power_set( cross_product
% 2.44/2.82 ( skol13, skol14 ) ) ), member( skol15, power_set( cross_product( skol13
% 2.44/2.82 , skol14 ) ) ) }.
% 2.44/2.82 parent0[1]: (450) {G1,W9,D3,L3,V2,M3} S(36);r(56);r(56) { empty( Y ), !
% 2.44/2.82 ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 2.44/2.82 parent1[0]: (14358) {G3,W7,D5,L1,V0,M1} R(350,8455) { ilf_type( skol15,
% 2.44/2.82 member_type( power_set( cross_product( skol13, skol14 ) ) ) ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := skol15
% 2.44/2.82 Y := power_set( cross_product( skol13, skol14 ) )
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29358) {G2,W6,D4,L1,V0,M1} { member( skol15, power_set(
% 2.44/2.82 cross_product( skol13, skol14 ) ) ) }.
% 2.44/2.82 parent0[0]: (98) {G1,W3,D3,L1,V1,M1} S(34);r(56) { ! empty( power_set( X )
% 2.44/2.82 ) }.
% 2.44/2.82 parent1[0]: (29357) {G2,W11,D4,L2,V0,M2} { empty( power_set( cross_product
% 2.44/2.82 ( skol13, skol14 ) ) ), member( skol15, power_set( cross_product( skol13
% 2.44/2.82 , skol14 ) ) ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := cross_product( skol13, skol14 )
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 subsumption: (22937) {G4,W6,D4,L1,V0,M1} R(450,14358);r(98) { member(
% 2.44/2.82 skol15, power_set( cross_product( skol13, skol14 ) ) ) }.
% 2.44/2.82 parent0: (29358) {G2,W6,D4,L1,V0,M1} { member( skol15, power_set(
% 2.44/2.82 cross_product( skol13, skol14 ) ) ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 end
% 2.44/2.82 permutation0:
% 2.44/2.82 0 ==> 0
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29359) {G2,W6,D3,L1,V1,M1} { alpha3( skol15, cross_product(
% 2.44/2.82 skol13, skol14 ), X ) }.
% 2.44/2.82 parent0[0]: (375) {G1,W8,D3,L2,V3,M2} S(28);r(56);r(56);r(56) { ! member( X
% 2.44/2.82 , power_set( Y ) ), alpha3( X, Y, Z ) }.
% 2.44/2.82 parent1[0]: (22937) {G4,W6,D4,L1,V0,M1} R(450,14358);r(98) { member( skol15
% 2.44/2.82 , power_set( cross_product( skol13, skol14 ) ) ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := skol15
% 2.44/2.82 Y := cross_product( skol13, skol14 )
% 2.44/2.82 Z := X
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 subsumption: (27402) {G5,W6,D3,L1,V1,M1} R(22937,375) { alpha3( skol15,
% 2.44/2.82 cross_product( skol13, skol14 ), X ) }.
% 2.44/2.82 parent0: (29359) {G2,W6,D3,L1,V1,M1} { alpha3( skol15, cross_product(
% 2.44/2.82 skol13, skol14 ), X ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := X
% 2.44/2.82 end
% 2.44/2.82 permutation0:
% 2.44/2.82 0 ==> 0
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29360) {G4,W6,D3,L1,V1,M1} { alpha2( skol15, cross_product(
% 2.44/2.82 skol13, skol14 ), X ) }.
% 2.44/2.82 parent0[0]: (21153) {G3,W8,D2,L2,V3,M2} F(21151) { ! alpha3( X, Y, Z ),
% 2.44/2.82 alpha2( X, Y, Z ) }.
% 2.44/2.82 parent1[0]: (27402) {G5,W6,D3,L1,V1,M1} R(22937,375) { alpha3( skol15,
% 2.44/2.82 cross_product( skol13, skol14 ), X ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := skol15
% 2.44/2.82 Y := cross_product( skol13, skol14 )
% 2.44/2.82 Z := X
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 X := X
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 subsumption: (28566) {G6,W6,D3,L1,V1,M1} R(27402,21153) { alpha2( skol15,
% 2.44/2.82 cross_product( skol13, skol14 ), X ) }.
% 2.44/2.82 parent0: (29360) {G4,W6,D3,L1,V1,M1} { alpha2( skol15, cross_product(
% 2.44/2.82 skol13, skol14 ), X ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := X
% 2.44/2.82 end
% 2.44/2.82 permutation0:
% 2.44/2.82 0 ==> 0
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29361) {G2,W5,D3,L1,V0,M1} { subset( skol15, cross_product(
% 2.44/2.82 skol13, skol14 ) ) }.
% 2.44/2.82 parent0[0]: (262) {G1,W9,D3,L2,V2,M2} S(19);r(56);r(56) { ! alpha2( X, Y,
% 2.44/2.82 skol4( X, Y ) ), subset( X, Y ) }.
% 2.44/2.82 parent1[0]: (28566) {G6,W6,D3,L1,V1,M1} R(27402,21153) { alpha2( skol15,
% 2.44/2.82 cross_product( skol13, skol14 ), X ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 X := skol15
% 2.44/2.82 Y := cross_product( skol13, skol14 )
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 X := skol4( skol15, cross_product( skol13, skol14 ) )
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 resolution: (29362) {G3,W0,D0,L0,V0,M0} { }.
% 2.44/2.82 parent0[0]: (248) {G3,W5,D3,L1,V0,M1} R(243,59) { ! subset( skol15,
% 2.44/2.82 cross_product( skol13, skol14 ) ) }.
% 2.44/2.82 parent1[0]: (29361) {G2,W5,D3,L1,V0,M1} { subset( skol15, cross_product(
% 2.44/2.82 skol13, skol14 ) ) }.
% 2.44/2.82 substitution0:
% 2.44/2.82 end
% 2.44/2.82 substitution1:
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 subsumption: (28583) {G7,W0,D0,L0,V0,M0} R(28566,262);r(248) { }.
% 2.44/2.82 parent0: (29362) {G3,W0,D0,L0,V0,M0} { }.
% 2.44/2.82 substitution0:
% 2.44/2.82 end
% 2.44/2.82 permutation0:
% 2.44/2.82 end
% 2.44/2.82
% 2.44/2.82 Proof check complete!
% 2.44/2.82
% 2.44/2.82 Memory use:
% 2.44/2.82
% 2.44/2.82 space for terms: 368495
% 2.44/2.82 space for clauses: 1208062
% 2.44/2.82
% 2.44/2.82
% 2.44/2.82 clauses generated: 86665
% 2.44/2.82 clauses kept: 28584
% 2.44/2.82 clauses selected: 1416
% 2.44/2.82 clauses deleted: 6064
% 2.44/2.82 clauses inuse deleted: 303
% 2.44/2.82
% 2.44/2.82 subsentry: 347976
% 2.44/2.82 literals s-matched: 272125
% 2.44/2.82 literals matched: 264580
% 2.44/2.82 full subsumption: 17978
% 2.44/2.82
% 2.44/2.82 checksum: -1824513932
% 2.44/2.82
% 2.44/2.82
% 2.44/2.82 Bliksem ended
%------------------------------------------------------------------------------