TSTP Solution File: SET683+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET683+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 22:51:23 EDT 2022
% Result : Theorem 1.25s 1.66s
% Output : Refutation 1.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET683+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jul 10 00:29:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.69/1.09 *** allocated 10000 integers for termspace/termends
% 0.69/1.09 *** allocated 10000 integers for clauses
% 0.69/1.09 *** allocated 10000 integers for justifications
% 0.69/1.09 Bliksem 1.12
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Automatic Strategy Selection
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Clauses:
% 0.69/1.09
% 0.69/1.09 { ! ilf_type( X, set_type ), ! ilf_type( Y, binary_relation_type ), !
% 0.69/1.09 member( X, range_of( Y ) ), ilf_type( skol1( Z ), set_type ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! ilf_type( Y, binary_relation_type ), !
% 0.69/1.09 member( X, range_of( Y ) ), member( skol1( Y ), domain_of( Y ) ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.69/1.09 subset_type( cross_product( X, Y ) ) ), ilf_type( Z, relation_type( X, Y
% 0.69/1.09 ) ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.69/1.09 relation_type( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y )
% 0.69/1.09 ) ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol2( X
% 0.69/1.09 , Y ), relation_type( Y, X ) ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), empty( Y ), ! ilf_type( Y, set_type ), !
% 0.69/1.09 ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), empty( Y ), ! ilf_type( Y, set_type ), !
% 0.69/1.09 member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 0.69/1.09 { empty( X ), ! ilf_type( X, set_type ), ilf_type( skol3( X ), member_type
% 0.69/1.09 ( X ) ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! empty( X ), ! ilf_type( Y, set_type ), !
% 0.69/1.09 member( Y, X ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ilf_type( skol4( Y ), set_type ), empty( X ) }
% 0.69/1.09 .
% 0.69/1.09 { ! ilf_type( X, set_type ), member( skol4( X ), X ), empty( X ) }.
% 0.69/1.09 { ! ilf_type( X, binary_relation_type ), ilf_type( domain_of( X ), set_type
% 0.69/1.09 ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type(
% 0.69/1.09 cross_product( X, Y ), set_type ) }.
% 0.69/1.09 { ! ilf_type( X, binary_relation_type ), ilf_type( range_of( X ), set_type
% 0.69/1.09 ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! ilf_type( X, binary_relation_type ),
% 0.69/1.09 relation_like( X ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! ilf_type( X, binary_relation_type ),
% 0.69/1.09 ilf_type( X, set_type ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! relation_like( X ), ! ilf_type( X, set_type
% 0.69/1.09 ), ilf_type( X, binary_relation_type ) }.
% 0.69/1.09 { ilf_type( skol5, binary_relation_type ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Y,
% 0.69/1.09 subset_type( X ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Y,
% 0.69/1.09 member_type( power_set( X ) ) ), ilf_type( Y, subset_type( X ) ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ilf_type( skol6( X ), subset_type( X ) ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! member( X,
% 0.69/1.09 power_set( Y ) ), ! ilf_type( Z, set_type ), alpha1( X, Y, Z ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type( skol7( Z
% 0.69/1.09 , T ), set_type ), member( X, power_set( Y ) ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! alpha1( X, Y,
% 0.69/1.09 skol7( X, Y ) ), member( X, power_set( Y ) ) }.
% 0.69/1.09 { ! alpha1( X, Y, Z ), ! member( Z, X ), member( Z, Y ) }.
% 0.69/1.09 { member( Z, X ), alpha1( X, Y, Z ) }.
% 0.69/1.09 { ! member( Z, Y ), alpha1( X, Y, Z ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! empty( power_set( X ) ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ilf_type( power_set( X ), set_type ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! relation_like( X ), ! ilf_type( Y, set_type
% 0.69/1.09 ), alpha3( X, Y ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ilf_type( skol8( Y ), set_type ),
% 0.69/1.09 relation_like( X ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! alpha3( X, skol8( X ) ), relation_like( X )
% 0.69/1.09 }.
% 0.69/1.09 { ! alpha3( X, Y ), ! member( Y, X ), alpha2( Y ) }.
% 0.69/1.09 { member( Y, X ), alpha3( X, Y ) }.
% 0.69/1.09 { ! alpha2( Y ), alpha3( X, Y ) }.
% 0.69/1.09 { ! alpha2( X ), ilf_type( skol9( Y ), set_type ) }.
% 0.69/1.09 { ! alpha2( X ), alpha4( X, skol9( X ) ) }.
% 0.69/1.09 { ! ilf_type( Y, set_type ), ! alpha4( X, Y ), alpha2( X ) }.
% 0.69/1.09 { ! alpha4( X, Y ), ilf_type( skol10( Z, T ), set_type ) }.
% 0.69/1.09 { ! alpha4( X, Y ), X = ordered_pair( Y, skol10( X, Y ) ) }.
% 0.69/1.09 { ! ilf_type( Z, set_type ), ! X = ordered_pair( Y, Z ), alpha4( X, Y ) }.
% 0.69/1.09 { ! empty( X ), ! ilf_type( X, set_type ), relation_like( X ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 0.69/1.09 subset_type( cross_product( X, Y ) ) ), relation_like( Z ) }.
% 0.69/1.09 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ilf_type(
% 1.25/1.66 ordered_pair( X, Y ), set_type ) }.
% 1.25/1.66 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 1.25/1.66 relation_type( X, Y ) ), domain( X, Y, Z ) = domain_of( Z ) }.
% 1.25/1.66 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 1.25/1.66 relation_type( X, Y ) ), ilf_type( domain( X, Y, Z ), subset_type( X ) )
% 1.25/1.66 }.
% 1.25/1.66 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 1.25/1.66 relation_type( X, Y ) ), range( X, Y, Z ) = range_of( Z ) }.
% 1.25/1.66 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 1.25/1.66 relation_type( X, Y ) ), ilf_type( range( X, Y, Z ), subset_type( Y ) ) }
% 1.25/1.66 .
% 1.25/1.66 { ilf_type( X, set_type ) }.
% 1.25/1.66 { ! empty( skol11 ) }.
% 1.25/1.66 { ilf_type( skol11, set_type ) }.
% 1.25/1.66 { ! empty( skol12 ) }.
% 1.25/1.66 { ilf_type( skol12, set_type ) }.
% 1.25/1.66 { ilf_type( skol13, relation_type( skol12, skol11 ) ) }.
% 1.25/1.66 { ilf_type( skol14, member_type( skol11 ) ) }.
% 1.25/1.66 { member( skol14, range( skol12, skol11, skol13 ) ) }.
% 1.25/1.66 { ! ilf_type( X, member_type( skol12 ) ), ! member( X, domain( skol12,
% 1.25/1.66 skol11, skol13 ) ) }.
% 1.25/1.66
% 1.25/1.66 percentage equality = 0.025316, percentage horn = 0.839286
% 1.25/1.66 This is a problem with some equality
% 1.25/1.66
% 1.25/1.66
% 1.25/1.66
% 1.25/1.66 Options Used:
% 1.25/1.66
% 1.25/1.66 useres = 1
% 1.25/1.66 useparamod = 1
% 1.25/1.66 useeqrefl = 1
% 1.25/1.66 useeqfact = 1
% 1.25/1.66 usefactor = 1
% 1.25/1.66 usesimpsplitting = 0
% 1.25/1.66 usesimpdemod = 5
% 1.25/1.66 usesimpres = 3
% 1.25/1.66
% 1.25/1.66 resimpinuse = 1000
% 1.25/1.66 resimpclauses = 20000
% 1.25/1.66 substype = eqrewr
% 1.25/1.66 backwardsubs = 1
% 1.25/1.66 selectoldest = 5
% 1.25/1.66
% 1.25/1.66 litorderings [0] = split
% 1.25/1.66 litorderings [1] = extend the termordering, first sorting on arguments
% 1.25/1.66
% 1.25/1.66 termordering = kbo
% 1.25/1.66
% 1.25/1.66 litapriori = 0
% 1.25/1.66 termapriori = 1
% 1.25/1.66 litaposteriori = 0
% 1.25/1.66 termaposteriori = 0
% 1.25/1.66 demodaposteriori = 0
% 1.25/1.66 ordereqreflfact = 0
% 1.25/1.66
% 1.25/1.66 litselect = negord
% 1.25/1.66
% 1.25/1.66 maxweight = 15
% 1.25/1.66 maxdepth = 30000
% 1.25/1.66 maxlength = 115
% 1.25/1.66 maxnrvars = 195
% 1.25/1.66 excuselevel = 1
% 1.25/1.66 increasemaxweight = 1
% 1.25/1.66
% 1.25/1.66 maxselected = 10000000
% 1.25/1.66 maxnrclauses = 10000000
% 1.25/1.66
% 1.25/1.66 showgenerated = 0
% 1.25/1.66 showkept = 0
% 1.25/1.66 showselected = 0
% 1.25/1.66 showdeleted = 0
% 1.25/1.66 showresimp = 1
% 1.25/1.66 showstatus = 2000
% 1.25/1.66
% 1.25/1.66 prologoutput = 0
% 1.25/1.66 nrgoals = 5000000
% 1.25/1.66 totalproof = 1
% 1.25/1.66
% 1.25/1.66 Symbols occurring in the translation:
% 1.25/1.66
% 1.25/1.66 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.25/1.66 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 1.25/1.66 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 1.25/1.66 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.25/1.66 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.25/1.66 set_type [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 1.25/1.66 ilf_type [37, 2] (w:1, o:61, a:1, s:1, b:0),
% 1.25/1.66 binary_relation_type [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.25/1.66 range_of [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.25/1.66 member [41, 2] (w:1, o:62, a:1, s:1, b:0),
% 1.25/1.66 domain_of [43, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.25/1.66 cross_product [44, 2] (w:1, o:63, a:1, s:1, b:0),
% 1.25/1.66 subset_type [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.25/1.66 relation_type [46, 2] (w:1, o:64, a:1, s:1, b:0),
% 1.25/1.66 empty [48, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.25/1.66 member_type [49, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.25/1.66 relation_like [50, 1] (w:1, o:25, a:1, s:1, b:0),
% 1.25/1.66 power_set [51, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.25/1.66 ordered_pair [52, 2] (w:1, o:65, a:1, s:1, b:0),
% 1.25/1.66 domain [53, 3] (w:1, o:71, a:1, s:1, b:0),
% 1.25/1.66 range [54, 3] (w:1, o:72, a:1, s:1, b:0),
% 1.25/1.66 alpha1 [56, 3] (w:1, o:73, a:1, s:1, b:1),
% 1.25/1.66 alpha2 [57, 1] (w:1, o:30, a:1, s:1, b:1),
% 1.25/1.66 alpha3 [58, 2] (w:1, o:66, a:1, s:1, b:1),
% 1.25/1.66 alpha4 [59, 2] (w:1, o:67, a:1, s:1, b:1),
% 1.25/1.66 skol1 [60, 1] (w:1, o:31, a:1, s:1, b:1),
% 1.25/1.66 skol2 [61, 2] (w:1, o:69, a:1, s:1, b:1),
% 1.25/1.66 skol3 [62, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.25/1.66 skol4 [63, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.25/1.66 skol5 [64, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.25/1.66 skol6 [65, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.25/1.66 skol7 [66, 2] (w:1, o:70, a:1, s:1, b:1),
% 1.25/1.66 skol8 [67, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.25/1.66 skol9 [68, 1] (w:1, o:36, a:1, s:1, b:1),
% 1.25/1.66 skol10 [69, 2] (w:1, o:68, a:1, s:1, b:1),
% 1.25/1.66 skol11 [70, 0] (w:1, o:14, a:1, s:1, b:1),
% 1.25/1.66 skol12 [71, 0] (w:1, o:15, a:1, s:1, b:1),
% 1.25/1.66 skol13 [72, 0] (w:1, o:16, a:1, s:1, b:1),
% 1.25/1.66 skol14 [73, 0] (w:1, o:17, a:1, s:1, b:1).
% 1.25/1.66
% 1.25/1.66
% 1.25/1.66 Starting Search:
% 1.25/1.66
% 1.25/1.66 *** allocated 15000 integers for clauses
% 1.25/1.66 *** allocated 22500 integers for clauses
% 1.25/1.66 *** allocated 33750 integers for clauses
% 1.25/1.66 *** allocated 50625 integers for clauses
% 1.25/1.66 *** allocated 15000 integers for termspace/termends
% 1.25/1.66 Resimplifying inuse:
% 1.25/1.66 Done
% 1.25/1.66
% 1.25/1.66 *** allocated 75937 integers for clauses
% 1.25/1.66 *** allocated 22500 integers for termspace/termends
% 1.25/1.66 *** allocated 113905 integers for clauses
% 1.25/1.66 *** allocated 33750 integers for termspace/termends
% 1.25/1.66
% 1.25/1.66 Intermediate Status:
% 1.25/1.66 Generated: 5290
% 1.25/1.66 Kept: 2008
% 1.25/1.66 Inuse: 316
% 1.25/1.66 Deleted: 77
% 1.25/1.66 Deletedinuse: 15
% 1.25/1.66
% 1.25/1.66 Resimplifying inuse:
% 1.25/1.66 Done
% 1.25/1.66
% 1.25/1.66 *** allocated 170857 integers for clauses
% 1.25/1.66 Resimplifying inuse:
% 1.25/1.66 Done
% 1.25/1.66
% 1.25/1.66 *** allocated 50625 integers for termspace/termends
% 1.25/1.66 *** allocated 256285 integers for clauses
% 1.25/1.66
% 1.25/1.66 Intermediate Status:
% 1.25/1.66 Generated: 10193
% 1.25/1.66 Kept: 4017
% 1.25/1.66 Inuse: 429
% 1.25/1.66 Deleted: 98
% 1.25/1.66 Deletedinuse: 20
% 1.25/1.66
% 1.25/1.66 Resimplifying inuse:
% 1.25/1.66 Done
% 1.25/1.66
% 1.25/1.66 *** allocated 75937 integers for termspace/termends
% 1.25/1.66 Resimplifying inuse:
% 1.25/1.66 Done
% 1.25/1.66
% 1.25/1.66 *** allocated 384427 integers for clauses
% 1.25/1.66
% 1.25/1.66 Intermediate Status:
% 1.25/1.66 Generated: 15033
% 1.25/1.66 Kept: 6017
% 1.25/1.66 Inuse: 520
% 1.25/1.66 Deleted: 116
% 1.25/1.66 Deletedinuse: 24
% 1.25/1.66
% 1.25/1.66 Resimplifying inuse:
% 1.25/1.66 Done
% 1.25/1.66
% 1.25/1.66 *** allocated 113905 integers for termspace/termends
% 1.25/1.66 Resimplifying inuse:
% 1.25/1.66 Done
% 1.25/1.66
% 1.25/1.66
% 1.25/1.66 Intermediate Status:
% 1.25/1.66 Generated: 20466
% 1.25/1.66 Kept: 8039
% 1.25/1.66 Inuse: 653
% 1.25/1.66 Deleted: 150
% 1.25/1.66 Deletedinuse: 26
% 1.25/1.66
% 1.25/1.66 Resimplifying inuse:
% 1.25/1.66 Done
% 1.25/1.66
% 1.25/1.66 *** allocated 576640 integers for clauses
% 1.25/1.66 Resimplifying inuse:
% 1.25/1.66 Done
% 1.25/1.66
% 1.25/1.66 *** allocated 170857 integers for termspace/termends
% 1.25/1.66
% 1.25/1.66 Intermediate Status:
% 1.25/1.66 Generated: 24829
% 1.25/1.66 Kept: 10050
% 1.25/1.66 Inuse: 729
% 1.25/1.66 Deleted: 153
% 1.25/1.66 Deletedinuse: 26
% 1.25/1.66
% 1.25/1.66 Resimplifying inuse:
% 1.25/1.66 Done
% 1.25/1.66
% 1.25/1.66 Resimplifying inuse:
% 1.25/1.66 Done
% 1.25/1.66
% 1.25/1.66
% 1.25/1.66 Intermediate Status:
% 1.25/1.66 Generated: 28940
% 1.25/1.66 Kept: 12072
% 1.25/1.66 Inuse: 822
% 1.25/1.66 Deleted: 165
% 1.25/1.66 Deletedinuse: 32
% 1.25/1.66
% 1.25/1.66 Resimplifying inuse:
% 1.25/1.66 Done
% 1.25/1.66
% 1.25/1.66 Resimplifying inuse:
% 1.25/1.66 Done
% 1.25/1.66
% 1.25/1.66 *** allocated 864960 integers for clauses
% 1.25/1.66
% 1.25/1.66 Intermediate Status:
% 1.25/1.66 Generated: 32953
% 1.25/1.66 Kept: 14075
% 1.25/1.66 Inuse: 903
% 1.25/1.66 Deleted: 183
% 1.25/1.66 Deletedinuse: 44
% 1.25/1.66
% 1.25/1.66 Resimplifying inuse:
% 1.25/1.66 Done
% 1.25/1.66
% 1.25/1.66
% 1.25/1.66 Bliksems!, er is een bewijs:
% 1.25/1.66 % SZS status Theorem
% 1.25/1.66 % SZS output start Refutation
% 1.25/1.66
% 1.25/1.66 (1) {G0,W15,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 binary_relation_type ), ! member( X, range_of( Y ) ), member( skol1( Y )
% 1.25/1.66 , domain_of( Y ) ) }.
% 1.25/1.66 (3) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z,
% 1.25/1.66 subset_type( cross_product( X, Y ) ) ) }.
% 1.25/1.66 (5) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty( Y ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y
% 1.25/1.66 ) }.
% 1.25/1.66 (6) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty( Y ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X, member_type( Y )
% 1.25/1.66 ) }.
% 1.25/1.66 (8) {G0,W11,D2,L4,V2,M4} I { ! ilf_type( X, set_type ), ! empty( X ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! member( Y, X ) }.
% 1.25/1.66 (10) {G0,W9,D3,L3,V1,M3} I { ! ilf_type( X, set_type ), member( skol4( X )
% 1.25/1.66 , X ), empty( X ) }.
% 1.25/1.66 (15) {G0,W8,D2,L3,V1,M3} I;f { ! ilf_type( X, set_type ), ! relation_like(
% 1.25/1.66 X ), ilf_type( X, binary_relation_type ) }.
% 1.25/1.66 (17) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type(
% 1.25/1.66 power_set( X ) ) ) }.
% 1.25/1.66 (20) {G0,W17,D3,L5,V3,M5} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z, set_type ),
% 1.25/1.66 alpha1( X, Y, Z ) }.
% 1.25/1.66 (23) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), ! member( Z, X ), member
% 1.25/1.66 ( Z, Y ) }.
% 1.25/1.66 (24) {G0,W7,D2,L2,V3,M2} I { member( Z, X ), alpha1( X, Y, Z ) }.
% 1.25/1.66 (26) {G0,W6,D3,L2,V1,M2} I { ! ilf_type( X, set_type ), ! empty( power_set
% 1.25/1.66 ( X ) ) }.
% 1.25/1.66 (41) {G0,W14,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 1.25/1.66 relation_like( Z ) }.
% 1.25/1.66 (43) {G0,W18,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), domain( X, Y, Z ) ==>
% 1.25/1.66 domain_of( Z ) }.
% 1.25/1.66 (44) {G1,W16,D3,L4,V3,M4} I;d(43) { ! ilf_type( X, set_type ), ! ilf_type(
% 1.25/1.66 Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type(
% 1.25/1.66 domain_of( Z ), subset_type( X ) ) }.
% 1.25/1.66 (45) {G0,W18,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), range( X, Y, Z ) ==>
% 1.25/1.66 range_of( Z ) }.
% 1.25/1.66 (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.66 (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type( skol12,
% 1.25/1.66 skol11 ) ) }.
% 1.25/1.66 (52) {G0,W6,D3,L1,V0,M1} I { member( skol14, range( skol12, skol11, skol13
% 1.25/1.66 ) ) }.
% 1.25/1.66 (53) {G0,W10,D3,L2,V1,M2} I { ! ilf_type( X, member_type( skol12 ) ), !
% 1.25/1.66 member( X, domain( skol12, skol11, skol13 ) ) }.
% 1.25/1.66 (73) {G1,W12,D3,L3,V2,M3} S(1);r(47) { ! ilf_type( Y, binary_relation_type
% 1.25/1.66 ), ! member( X, range_of( Y ) ), member( skol1( Y ), domain_of( Y ) )
% 1.25/1.66 }.
% 1.25/1.66 (76) {G1,W3,D3,L1,V1,M1} S(26);r(47) { ! empty( power_set( X ) ) }.
% 1.25/1.66 (77) {G1,W11,D4,L2,V3,M2} S(3);r(47);r(47) { ! ilf_type( Z, relation_type(
% 1.25/1.66 X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y ) ) ) }.
% 1.25/1.66 (85) {G1,W9,D3,L3,V2,M3} S(5);r(47);r(47) { empty( Y ), ! ilf_type( X,
% 1.25/1.66 member_type( Y ) ), member( X, Y ) }.
% 1.25/1.66 (86) {G1,W9,D3,L3,V2,M3} S(6);r(47);r(47) { empty( Y ), ! member( X, Y ),
% 1.25/1.66 ilf_type( X, member_type( Y ) ) }.
% 1.25/1.66 (94) {G1,W5,D2,L2,V2,M2} S(8);r(47);r(47) { ! empty( X ), ! member( Y, X )
% 1.25/1.66 }.
% 1.25/1.66 (95) {G2,W6,D2,L2,V3,M2} R(94,24) { ! empty( X ), alpha1( X, Y, Z ) }.
% 1.25/1.66 (106) {G1,W6,D3,L2,V1,M2} S(10);r(47) { member( skol4( X ), X ), empty( X )
% 1.25/1.66 }.
% 1.25/1.66 (107) {G3,W8,D3,L2,V3,M2} R(106,95) { member( skol4( X ), X ), alpha1( X, Y
% 1.25/1.66 , Z ) }.
% 1.25/1.66 (125) {G1,W5,D2,L2,V1,M2} S(15);r(47) { ! relation_like( X ), ilf_type( X,
% 1.25/1.66 binary_relation_type ) }.
% 1.25/1.66 (132) {G1,W9,D4,L2,V2,M2} S(17);r(47);r(47) { ! ilf_type( Y, subset_type( X
% 1.25/1.66 ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 1.25/1.66 (160) {G1,W8,D3,L2,V3,M2} S(20);r(47);r(47);r(47) { ! member( X, power_set
% 1.25/1.66 ( Y ) ), alpha1( X, Y, Z ) }.
% 1.25/1.66 (200) {G2,W11,D3,L3,V2,M3} R(23,106) { ! alpha1( X, Y, skol4( X ) ), member
% 1.25/1.66 ( skol4( X ), Y ), empty( X ) }.
% 1.25/1.66 (206) {G4,W13,D3,L3,V4,M3} R(107,23) { alpha1( X, Y, Z ), ! alpha1( X, T,
% 1.25/1.66 skol4( X ) ), member( skol4( X ), T ) }.
% 1.25/1.66 (315) {G1,W8,D4,L2,V3,M2} S(41);r(47);r(47) { ! ilf_type( Z, subset_type(
% 1.25/1.66 cross_product( X, Y ) ) ), relation_like( Z ) }.
% 1.25/1.66 (351) {G1,W12,D3,L2,V3,M2} S(43);r(47);r(47) { ! ilf_type( Z, relation_type
% 1.25/1.66 ( X, Y ) ), domain( X, Y, Z ) ==> domain_of( Z ) }.
% 1.25/1.66 (358) {G2,W10,D3,L2,V3,M2} S(44);r(47);r(47) { ! ilf_type( Z, relation_type
% 1.25/1.66 ( X, Y ) ), ilf_type( domain_of( Z ), subset_type( X ) ) }.
% 1.25/1.66 (373) {G1,W12,D3,L2,V3,M2} S(45);r(47);r(47) { ! ilf_type( Z, relation_type
% 1.25/1.66 ( X, Y ) ), range( X, Y, Z ) ==> range_of( Z ) }.
% 1.25/1.66 (394) {G2,W13,D4,L2,V0,M2} R(53,106) { ! ilf_type( skol4( domain( skol12,
% 1.25/1.66 skol11, skol13 ) ), member_type( skol12 ) ), empty( domain( skol12,
% 1.25/1.66 skol11, skol13 ) ) }.
% 1.25/1.66 (941) {G2,W6,D4,L1,V0,M1} R(77,50) { ilf_type( skol13, subset_type(
% 1.25/1.66 cross_product( skol12, skol11 ) ) ) }.
% 1.25/1.66 (942) {G3,W2,D2,L1,V0,M1} R(941,315) { relation_like( skol13 ) }.
% 1.25/1.66 (951) {G4,W3,D2,L1,V0,M1} R(942,125) { ilf_type( skol13,
% 1.25/1.66 binary_relation_type ) }.
% 1.25/1.66 (1049) {G2,W10,D3,L3,V3,M3} R(86,94) { ! member( X, Y ), ilf_type( X,
% 1.25/1.66 member_type( Y ) ), ! member( Z, Y ) }.
% 1.25/1.66 (1057) {G3,W7,D3,L2,V2,M2} F(1049) { ! member( X, Y ), ilf_type( X,
% 1.25/1.66 member_type( Y ) ) }.
% 1.25/1.66 (11060) {G2,W7,D3,L1,V0,M1} R(351,50) { domain( skol12, skol11, skol13 )
% 1.25/1.66 ==> domain_of( skol13 ) }.
% 1.25/1.66 (11411) {G3,W5,D3,L1,V0,M1} R(358,50) { ilf_type( domain_of( skol13 ),
% 1.25/1.66 subset_type( skol12 ) ) }.
% 1.25/1.66 (11412) {G4,W6,D4,L1,V0,M1} R(11411,132) { ilf_type( domain_of( skol13 ),
% 1.25/1.66 member_type( power_set( skol12 ) ) ) }.
% 1.25/1.66 (11413) {G5,W5,D3,L1,V0,M1} R(11412,85);r(76) { member( domain_of( skol13 )
% 1.25/1.66 , power_set( skol12 ) ) }.
% 1.25/1.66 (11441) {G6,W5,D3,L1,V1,M1} R(11413,160) { alpha1( domain_of( skol13 ),
% 1.25/1.66 skol12, X ) }.
% 1.25/1.66 (12912) {G2,W4,D3,L1,V0,M1} P(373,52);r(50) { member( skol14, range_of(
% 1.25/1.66 skol13 ) ) }.
% 1.25/1.66 (12948) {G5,W5,D3,L1,V0,M1} R(12912,73);r(951) { member( skol1( skol13 ),
% 1.25/1.66 domain_of( skol13 ) ) }.
% 1.25/1.66 (12990) {G6,W3,D3,L1,V0,M1} R(12948,94) { ! empty( domain_of( skol13 ) )
% 1.25/1.66 }.
% 1.25/1.66 (14645) {G7,W6,D4,L1,V0,M1} S(394);d(11060);d(11060);r(12990) { ! ilf_type
% 1.25/1.66 ( skol4( domain_of( skol13 ) ), member_type( skol12 ) ) }.
% 1.25/1.66 (14647) {G8,W5,D4,L1,V0,M1} R(14645,1057) { ! member( skol4( domain_of(
% 1.25/1.66 skol13 ) ), skol12 ) }.
% 1.25/1.66 (14652) {G9,W5,D3,L1,V2,M1} R(14647,206);r(11441) { alpha1( domain_of(
% 1.25/1.66 skol13 ), X, Y ) }.
% 1.25/1.66 (14655) {G10,W3,D3,L1,V0,M1} R(14647,200);r(14652) { empty( domain_of(
% 1.25/1.66 skol13 ) ) }.
% 1.25/1.66 (14666) {G11,W0,D0,L0,V0,M0} S(14655);r(12990) { }.
% 1.25/1.66
% 1.25/1.66
% 1.25/1.66 % SZS output end Refutation
% 1.25/1.66 found a proof!
% 1.25/1.66
% 1.25/1.66
% 1.25/1.66 Unprocessed initial clauses:
% 1.25/1.66
% 1.25/1.66 (14668) {G0,W14,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 binary_relation_type ), ! member( X, range_of( Y ) ), ilf_type( skol1( Z
% 1.25/1.66 ), set_type ) }.
% 1.25/1.66 (14669) {G0,W15,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 binary_relation_type ), ! member( X, range_of( Y ) ), member( skol1( Y )
% 1.25/1.66 , domain_of( Y ) ) }.
% 1.25/1.66 (14670) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 1.25/1.66 ilf_type( Z, relation_type( X, Y ) ) }.
% 1.25/1.66 (14671) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z,
% 1.25/1.66 subset_type( cross_product( X, Y ) ) ) }.
% 1.25/1.66 (14672) {G0,W13,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ilf_type( skol2( X, Y ), relation_type( Y, X ) ) }.
% 1.25/1.66 (14673) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y
% 1.25/1.66 ) }.
% 1.25/1.66 (14674) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X, member_type( Y )
% 1.25/1.66 ) }.
% 1.25/1.66 (14675) {G0,W10,D3,L3,V1,M3} { empty( X ), ! ilf_type( X, set_type ),
% 1.25/1.66 ilf_type( skol3( X ), member_type( X ) ) }.
% 1.25/1.66 (14676) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! empty( X ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! member( Y, X ) }.
% 1.25/1.66 (14677) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol4(
% 1.25/1.66 Y ), set_type ), empty( X ) }.
% 1.25/1.66 (14678) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), member( skol4( X
% 1.25/1.66 ), X ), empty( X ) }.
% 1.25/1.66 (14679) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, binary_relation_type ),
% 1.25/1.66 ilf_type( domain_of( X ), set_type ) }.
% 1.25/1.66 (14680) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ilf_type( cross_product( X, Y ), set_type ) }.
% 1.25/1.66 (14681) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, binary_relation_type ),
% 1.25/1.66 ilf_type( range_of( X ), set_type ) }.
% 1.25/1.66 (14682) {G0,W8,D2,L3,V1,M3} { ! ilf_type( X, set_type ), ! ilf_type( X,
% 1.25/1.66 binary_relation_type ), relation_like( X ) }.
% 1.25/1.66 (14683) {G0,W9,D2,L3,V1,M3} { ! ilf_type( X, set_type ), ! ilf_type( X,
% 1.25/1.66 binary_relation_type ), ilf_type( X, set_type ) }.
% 1.25/1.66 (14684) {G0,W11,D2,L4,V1,M4} { ! ilf_type( X, set_type ), ! relation_like
% 1.25/1.66 ( X ), ! ilf_type( X, set_type ), ilf_type( X, binary_relation_type ) }.
% 1.25/1.66 (14685) {G0,W3,D2,L1,V0,M1} { ilf_type( skol5, binary_relation_type ) }.
% 1.25/1.66 (14686) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type(
% 1.25/1.66 power_set( X ) ) ) }.
% 1.25/1.66 (14687) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ), ilf_type( Y,
% 1.25/1.66 subset_type( X ) ) }.
% 1.25/1.66 (14688) {G0,W8,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type( skol6(
% 1.25/1.66 X ), subset_type( X ) ) }.
% 1.25/1.66 (14689) {G0,W17,D3,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z, set_type ),
% 1.25/1.66 alpha1( X, Y, Z ) }.
% 1.25/1.66 (14690) {G0,W15,D3,L4,V4,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ilf_type( skol7( Z, T ), set_type ), member( X, power_set( Y
% 1.25/1.66 ) ) }.
% 1.25/1.66 (14691) {G0,W16,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! alpha1( X, Y, skol7( X, Y ) ), member( X, power_set( Y ) )
% 1.25/1.66 }.
% 1.25/1.66 (14692) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), ! member( Z, X ),
% 1.25/1.66 member( Z, Y ) }.
% 1.25/1.66 (14693) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha1( X, Y, Z ) }.
% 1.25/1.66 (14694) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha1( X, Y, Z ) }.
% 1.25/1.66 (14695) {G0,W6,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ! empty(
% 1.25/1.66 power_set( X ) ) }.
% 1.25/1.66 (14696) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type(
% 1.25/1.66 power_set( X ), set_type ) }.
% 1.25/1.66 (14697) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! relation_like
% 1.25/1.66 ( X ), ! ilf_type( Y, set_type ), alpha3( X, Y ) }.
% 1.25/1.66 (14698) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol8(
% 1.25/1.66 Y ), set_type ), relation_like( X ) }.
% 1.25/1.66 (14699) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), ! alpha3( X,
% 1.25/1.66 skol8( X ) ), relation_like( X ) }.
% 1.25/1.66 (14700) {G0,W8,D2,L3,V2,M3} { ! alpha3( X, Y ), ! member( Y, X ), alpha2(
% 1.25/1.66 Y ) }.
% 1.25/1.66 (14701) {G0,W6,D2,L2,V2,M2} { member( Y, X ), alpha3( X, Y ) }.
% 1.25/1.66 (14702) {G0,W5,D2,L2,V2,M2} { ! alpha2( Y ), alpha3( X, Y ) }.
% 1.25/1.66 (14703) {G0,W6,D3,L2,V2,M2} { ! alpha2( X ), ilf_type( skol9( Y ),
% 1.25/1.66 set_type ) }.
% 1.25/1.66 (14704) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), alpha4( X, skol9( X ) ) }.
% 1.25/1.66 (14705) {G0,W8,D2,L3,V2,M3} { ! ilf_type( Y, set_type ), ! alpha4( X, Y )
% 1.25/1.66 , alpha2( X ) }.
% 1.25/1.66 (14706) {G0,W8,D3,L2,V4,M2} { ! alpha4( X, Y ), ilf_type( skol10( Z, T ),
% 1.25/1.66 set_type ) }.
% 1.25/1.66 (14707) {G0,W10,D4,L2,V2,M2} { ! alpha4( X, Y ), X = ordered_pair( Y,
% 1.25/1.66 skol10( X, Y ) ) }.
% 1.25/1.66 (14708) {G0,W11,D3,L3,V3,M3} { ! ilf_type( Z, set_type ), ! X =
% 1.25/1.66 ordered_pair( Y, Z ), alpha4( X, Y ) }.
% 1.25/1.66 (14709) {G0,W7,D2,L3,V1,M3} { ! empty( X ), ! ilf_type( X, set_type ),
% 1.25/1.66 relation_like( X ) }.
% 1.25/1.66 (14710) {G0,W14,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 1.25/1.66 relation_like( Z ) }.
% 1.25/1.66 (14711) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ilf_type( ordered_pair( X, Y ), set_type ) }.
% 1.25/1.66 (14712) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), domain( X, Y, Z ) =
% 1.25/1.66 domain_of( Z ) }.
% 1.25/1.66 (14713) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( domain( X,
% 1.25/1.66 Y, Z ), subset_type( X ) ) }.
% 1.25/1.66 (14714) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), range( X, Y, Z ) =
% 1.25/1.66 range_of( Z ) }.
% 1.25/1.66 (14715) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( range( X, Y
% 1.25/1.66 , Z ), subset_type( Y ) ) }.
% 1.25/1.66 (14716) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 1.25/1.66 (14717) {G0,W2,D2,L1,V0,M1} { ! empty( skol11 ) }.
% 1.25/1.66 (14718) {G0,W3,D2,L1,V0,M1} { ilf_type( skol11, set_type ) }.
% 1.25/1.66 (14719) {G0,W2,D2,L1,V0,M1} { ! empty( skol12 ) }.
% 1.25/1.66 (14720) {G0,W3,D2,L1,V0,M1} { ilf_type( skol12, set_type ) }.
% 1.25/1.66 (14721) {G0,W5,D3,L1,V0,M1} { ilf_type( skol13, relation_type( skol12,
% 1.25/1.66 skol11 ) ) }.
% 1.25/1.66 (14722) {G0,W4,D3,L1,V0,M1} { ilf_type( skol14, member_type( skol11 ) )
% 1.25/1.66 }.
% 1.25/1.66 (14723) {G0,W6,D3,L1,V0,M1} { member( skol14, range( skol12, skol11,
% 1.25/1.66 skol13 ) ) }.
% 1.25/1.66 (14724) {G0,W10,D3,L2,V1,M2} { ! ilf_type( X, member_type( skol12 ) ), !
% 1.25/1.66 member( X, domain( skol12, skol11, skol13 ) ) }.
% 1.25/1.66
% 1.25/1.66
% 1.25/1.66 Total Proof:
% 1.25/1.66
% 1.25/1.66 subsumption: (1) {G0,W15,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, binary_relation_type ), ! member( X, range_of( Y ) ), member
% 1.25/1.66 ( skol1( Y ), domain_of( Y ) ) }.
% 1.25/1.66 parent0: (14669) {G0,W15,D3,L4,V2,M4} { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, binary_relation_type ), ! member( X, range_of( Y ) ), member
% 1.25/1.66 ( skol1( Y ), domain_of( Y ) ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 2 ==> 2
% 1.25/1.66 3 ==> 3
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (3) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type
% 1.25/1.66 ( Z, subset_type( cross_product( X, Y ) ) ) }.
% 1.25/1.66 parent0: (14671) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type
% 1.25/1.66 ( Z, subset_type( cross_product( X, Y ) ) ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 Z := Z
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 2 ==> 2
% 1.25/1.66 3 ==> 3
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (5) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty
% 1.25/1.66 ( Y ), ! ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ),
% 1.25/1.66 member( X, Y ) }.
% 1.25/1.66 parent0: (14673) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty(
% 1.25/1.66 Y ), ! ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member
% 1.25/1.66 ( X, Y ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 2 ==> 2
% 1.25/1.66 3 ==> 3
% 1.25/1.66 4 ==> 4
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (6) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty
% 1.25/1.66 ( Y ), ! ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X,
% 1.25/1.66 member_type( Y ) ) }.
% 1.25/1.66 parent0: (14674) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty(
% 1.25/1.66 Y ), ! ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X,
% 1.25/1.66 member_type( Y ) ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 2 ==> 2
% 1.25/1.66 3 ==> 3
% 1.25/1.66 4 ==> 4
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (8) {G0,W11,D2,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 1.25/1.66 empty( X ), ! ilf_type( Y, set_type ), ! member( Y, X ) }.
% 1.25/1.66 parent0: (14676) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! empty
% 1.25/1.66 ( X ), ! ilf_type( Y, set_type ), ! member( Y, X ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 2 ==> 2
% 1.25/1.66 3 ==> 3
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (10) {G0,W9,D3,L3,V1,M3} I { ! ilf_type( X, set_type ), member
% 1.25/1.66 ( skol4( X ), X ), empty( X ) }.
% 1.25/1.66 parent0: (14678) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), member(
% 1.25/1.66 skol4( X ), X ), empty( X ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 2 ==> 2
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 factor: (14755) {G0,W8,D2,L3,V1,M3} { ! ilf_type( X, set_type ), !
% 1.25/1.66 relation_like( X ), ilf_type( X, binary_relation_type ) }.
% 1.25/1.66 parent0[0, 2]: (14684) {G0,W11,D2,L4,V1,M4} { ! ilf_type( X, set_type ), !
% 1.25/1.66 relation_like( X ), ! ilf_type( X, set_type ), ilf_type( X,
% 1.25/1.66 binary_relation_type ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (15) {G0,W8,D2,L3,V1,M3} I;f { ! ilf_type( X, set_type ), !
% 1.25/1.66 relation_like( X ), ilf_type( X, binary_relation_type ) }.
% 1.25/1.66 parent0: (14755) {G0,W8,D2,L3,V1,M3} { ! ilf_type( X, set_type ), !
% 1.25/1.66 relation_like( X ), ilf_type( X, binary_relation_type ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 2 ==> 2
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (17) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y,
% 1.25/1.66 member_type( power_set( X ) ) ) }.
% 1.25/1.66 parent0: (14686) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y,
% 1.25/1.66 member_type( power_set( X ) ) ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 2 ==> 2
% 1.25/1.66 3 ==> 3
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (20) {G0,W17,D3,L5,V3,M5} I { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z,
% 1.25/1.66 set_type ), alpha1( X, Y, Z ) }.
% 1.25/1.66 parent0: (14689) {G0,W17,D3,L5,V3,M5} { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z,
% 1.25/1.66 set_type ), alpha1( X, Y, Z ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 Z := Z
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 2 ==> 2
% 1.25/1.66 3 ==> 3
% 1.25/1.66 4 ==> 4
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (23) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), ! member( Z
% 1.25/1.66 , X ), member( Z, Y ) }.
% 1.25/1.66 parent0: (14692) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), ! member( Z,
% 1.25/1.66 X ), member( Z, Y ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 Z := Z
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 2 ==> 2
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (24) {G0,W7,D2,L2,V3,M2} I { member( Z, X ), alpha1( X, Y, Z )
% 1.25/1.66 }.
% 1.25/1.66 parent0: (14693) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha1( X, Y, Z )
% 1.25/1.66 }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 Z := Z
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (26) {G0,W6,D3,L2,V1,M2} I { ! ilf_type( X, set_type ), !
% 1.25/1.66 empty( power_set( X ) ) }.
% 1.25/1.66 parent0: (14695) {G0,W6,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ! empty
% 1.25/1.66 ( power_set( X ) ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (41) {G0,W14,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y
% 1.25/1.66 ) ) ), relation_like( Z ) }.
% 1.25/1.66 parent0: (14710) {G0,W14,D4,L4,V3,M4} { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y
% 1.25/1.66 ) ) ), relation_like( Z ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 Z := Z
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 2 ==> 2
% 1.25/1.66 3 ==> 3
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (43) {G0,W18,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), domain(
% 1.25/1.66 X, Y, Z ) ==> domain_of( Z ) }.
% 1.25/1.66 parent0: (14712) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), domain(
% 1.25/1.66 X, Y, Z ) = domain_of( Z ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 Z := Z
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 2 ==> 2
% 1.25/1.66 3 ==> 3
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 *** allocated 256285 integers for termspace/termends
% 1.25/1.66 paramod: (14975) {G1,W27,D3,L7,V3,M7} { ilf_type( domain_of( Z ),
% 1.25/1.66 subset_type( X ) ), ! ilf_type( X, set_type ), ! ilf_type( Y, set_type )
% 1.25/1.66 , ! ilf_type( Z, relation_type( X, Y ) ), ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ) }.
% 1.25/1.66 parent0[3]: (43) {G0,W18,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), domain(
% 1.25/1.66 X, Y, Z ) ==> domain_of( Z ) }.
% 1.25/1.66 parent1[3; 1]: (14713) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ),
% 1.25/1.66 ilf_type( domain( X, Y, Z ), subset_type( X ) ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 Z := Z
% 1.25/1.66 end
% 1.25/1.66 substitution1:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 Z := Z
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 factor: (14978) {G1,W22,D3,L6,V3,M6} { ilf_type( domain_of( X ),
% 1.25/1.66 subset_type( Y ) ), ! ilf_type( Y, set_type ), ! ilf_type( Z, set_type )
% 1.25/1.66 , ! ilf_type( X, relation_type( Y, Z ) ), ! ilf_type( Y, set_type ), !
% 1.25/1.66 ilf_type( Z, set_type ) }.
% 1.25/1.66 parent0[3, 6]: (14975) {G1,W27,D3,L7,V3,M7} { ilf_type( domain_of( Z ),
% 1.25/1.66 subset_type( X ) ), ! ilf_type( X, set_type ), ! ilf_type( Y, set_type )
% 1.25/1.66 , ! ilf_type( Z, relation_type( X, Y ) ), ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := Y
% 1.25/1.66 Y := Z
% 1.25/1.66 Z := X
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 factor: (14980) {G1,W19,D3,L5,V3,M5} { ilf_type( domain_of( X ),
% 1.25/1.66 subset_type( Y ) ), ! ilf_type( Y, set_type ), ! ilf_type( Z, set_type )
% 1.25/1.66 , ! ilf_type( X, relation_type( Y, Z ) ), ! ilf_type( Z, set_type ) }.
% 1.25/1.66 parent0[1, 4]: (14978) {G1,W22,D3,L6,V3,M6} { ilf_type( domain_of( X ),
% 1.25/1.66 subset_type( Y ) ), ! ilf_type( Y, set_type ), ! ilf_type( Z, set_type )
% 1.25/1.66 , ! ilf_type( X, relation_type( Y, Z ) ), ! ilf_type( Y, set_type ), !
% 1.25/1.66 ilf_type( Z, set_type ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 Z := Z
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 factor: (14982) {G1,W16,D3,L4,V3,M4} { ilf_type( domain_of( X ),
% 1.25/1.66 subset_type( Y ) ), ! ilf_type( Y, set_type ), ! ilf_type( Z, set_type )
% 1.25/1.66 , ! ilf_type( X, relation_type( Y, Z ) ) }.
% 1.25/1.66 parent0[2, 4]: (14980) {G1,W19,D3,L5,V3,M5} { ilf_type( domain_of( X ),
% 1.25/1.66 subset_type( Y ) ), ! ilf_type( Y, set_type ), ! ilf_type( Z, set_type )
% 1.25/1.66 , ! ilf_type( X, relation_type( Y, Z ) ), ! ilf_type( Z, set_type ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 Z := Z
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (44) {G1,W16,D3,L4,V3,M4} I;d(43) { ! ilf_type( X, set_type )
% 1.25/1.66 , ! ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ),
% 1.25/1.66 ilf_type( domain_of( Z ), subset_type( X ) ) }.
% 1.25/1.66 parent0: (14982) {G1,W16,D3,L4,V3,M4} { ilf_type( domain_of( X ),
% 1.25/1.66 subset_type( Y ) ), ! ilf_type( Y, set_type ), ! ilf_type( Z, set_type )
% 1.25/1.66 , ! ilf_type( X, relation_type( Y, Z ) ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := Z
% 1.25/1.66 Y := X
% 1.25/1.66 Z := Y
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 3
% 1.25/1.66 1 ==> 0
% 1.25/1.66 2 ==> 1
% 1.25/1.66 3 ==> 2
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (45) {G0,W18,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), range( X
% 1.25/1.66 , Y, Z ) ==> range_of( Z ) }.
% 1.25/1.66 parent0: (14714) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), range( X
% 1.25/1.66 , Y, Z ) = range_of( Z ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 Z := Z
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 2 ==> 2
% 1.25/1.66 3 ==> 3
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.66 parent0: (14716) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type(
% 1.25/1.66 skol12, skol11 ) ) }.
% 1.25/1.66 parent0: (14721) {G0,W5,D3,L1,V0,M1} { ilf_type( skol13, relation_type(
% 1.25/1.66 skol12, skol11 ) ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (52) {G0,W6,D3,L1,V0,M1} I { member( skol14, range( skol12,
% 1.25/1.66 skol11, skol13 ) ) }.
% 1.25/1.66 parent0: (14723) {G0,W6,D3,L1,V0,M1} { member( skol14, range( skol12,
% 1.25/1.66 skol11, skol13 ) ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (53) {G0,W10,D3,L2,V1,M2} I { ! ilf_type( X, member_type(
% 1.25/1.66 skol12 ) ), ! member( X, domain( skol12, skol11, skol13 ) ) }.
% 1.25/1.66 parent0: (14724) {G0,W10,D3,L2,V1,M2} { ! ilf_type( X, member_type( skol12
% 1.25/1.66 ) ), ! member( X, domain( skol12, skol11, skol13 ) ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 resolution: (15128) {G1,W12,D3,L3,V2,M3} { ! ilf_type( Y,
% 1.25/1.66 binary_relation_type ), ! member( X, range_of( Y ) ), member( skol1( Y )
% 1.25/1.66 , domain_of( Y ) ) }.
% 1.25/1.66 parent0[0]: (1) {G0,W15,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, binary_relation_type ), ! member( X, range_of( Y ) ), member
% 1.25/1.66 ( skol1( Y ), domain_of( Y ) ) }.
% 1.25/1.66 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 end
% 1.25/1.66 substitution1:
% 1.25/1.66 X := X
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (73) {G1,W12,D3,L3,V2,M3} S(1);r(47) { ! ilf_type( Y,
% 1.25/1.66 binary_relation_type ), ! member( X, range_of( Y ) ), member( skol1( Y )
% 1.25/1.66 , domain_of( Y ) ) }.
% 1.25/1.66 parent0: (15128) {G1,W12,D3,L3,V2,M3} { ! ilf_type( Y,
% 1.25/1.66 binary_relation_type ), ! member( X, range_of( Y ) ), member( skol1( Y )
% 1.25/1.66 , domain_of( Y ) ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 2 ==> 2
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 resolution: (15129) {G1,W3,D3,L1,V1,M1} { ! empty( power_set( X ) ) }.
% 1.25/1.66 parent0[0]: (26) {G0,W6,D3,L2,V1,M2} I { ! ilf_type( X, set_type ), ! empty
% 1.25/1.66 ( power_set( X ) ) }.
% 1.25/1.66 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 end
% 1.25/1.66 substitution1:
% 1.25/1.66 X := X
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (76) {G1,W3,D3,L1,V1,M1} S(26);r(47) { ! empty( power_set( X )
% 1.25/1.66 ) }.
% 1.25/1.66 parent0: (15129) {G1,W3,D3,L1,V1,M1} { ! empty( power_set( X ) ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 resolution: (15132) {G1,W14,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.25/1.66 ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z, subset_type(
% 1.25/1.66 cross_product( X, Y ) ) ) }.
% 1.25/1.66 parent0[0]: (3) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.25/1.66 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type
% 1.25/1.66 ( Z, subset_type( cross_product( X, Y ) ) ) }.
% 1.25/1.66 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := X
% 1.25/1.66 Y := Y
% 1.25/1.66 Z := Z
% 1.25/1.66 end
% 1.25/1.66 substitution1:
% 1.25/1.66 X := X
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 resolution: (15134) {G1,W11,D4,L2,V3,M2} { ! ilf_type( Y, relation_type( Z
% 1.25/1.66 , X ) ), ilf_type( Y, subset_type( cross_product( Z, X ) ) ) }.
% 1.25/1.66 parent0[0]: (15132) {G1,W14,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.25/1.66 ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z, subset_type(
% 1.25/1.66 cross_product( X, Y ) ) ) }.
% 1.25/1.66 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := Z
% 1.25/1.66 Y := X
% 1.25/1.66 Z := Y
% 1.25/1.66 end
% 1.25/1.66 substitution1:
% 1.25/1.66 X := X
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 subsumption: (77) {G1,W11,D4,L2,V3,M2} S(3);r(47);r(47) { ! ilf_type( Z,
% 1.25/1.66 relation_type( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y )
% 1.25/1.66 ) ) }.
% 1.25/1.66 parent0: (15134) {G1,W11,D4,L2,V3,M2} { ! ilf_type( Y, relation_type( Z, X
% 1.25/1.66 ) ), ilf_type( Y, subset_type( cross_product( Z, X ) ) ) }.
% 1.25/1.66 substitution0:
% 1.25/1.66 X := Y
% 1.25/1.66 Y := Z
% 1.25/1.66 Z := X
% 1.25/1.66 end
% 1.25/1.66 permutation0:
% 1.25/1.66 0 ==> 0
% 1.25/1.66 1 ==> 1
% 1.25/1.66 end
% 1.25/1.66
% 1.25/1.66 resolution: (15137) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 1.25/1.66 set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 1.25/1.67 parent0[0]: (5) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty(
% 1.25/1.67 Y ), ! ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member
% 1.25/1.67 ( X, Y ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15139) {G1,W9,D3,L3,V2,M3} { empty( X ), ! ilf_type( Y,
% 1.25/1.67 member_type( X ) ), member( Y, X ) }.
% 1.25/1.67 parent0[1]: (15137) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 1.25/1.67 set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Y
% 1.25/1.67 Y := X
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (85) {G1,W9,D3,L3,V2,M3} S(5);r(47);r(47) { empty( Y ), !
% 1.25/1.67 ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 1.25/1.67 parent0: (15139) {G1,W9,D3,L3,V2,M3} { empty( X ), ! ilf_type( Y,
% 1.25/1.67 member_type( X ) ), member( Y, X ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Y
% 1.25/1.67 Y := X
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 1
% 1.25/1.67 2 ==> 2
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15142) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 1.25/1.67 set_type ), ! member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 1.25/1.67 parent0[0]: (6) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty(
% 1.25/1.67 Y ), ! ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X,
% 1.25/1.67 member_type( Y ) ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15144) {G1,W9,D3,L3,V2,M3} { empty( X ), ! member( Y, X ),
% 1.25/1.67 ilf_type( Y, member_type( X ) ) }.
% 1.25/1.67 parent0[1]: (15142) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 1.25/1.67 set_type ), ! member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Y
% 1.25/1.67 Y := X
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (86) {G1,W9,D3,L3,V2,M3} S(6);r(47);r(47) { empty( Y ), !
% 1.25/1.67 member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 1.25/1.67 parent0: (15144) {G1,W9,D3,L3,V2,M3} { empty( X ), ! member( Y, X ),
% 1.25/1.67 ilf_type( Y, member_type( X ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Y
% 1.25/1.67 Y := X
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 1
% 1.25/1.67 2 ==> 2
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15147) {G1,W8,D2,L3,V2,M3} { ! empty( X ), ! ilf_type( Y,
% 1.25/1.67 set_type ), ! member( Y, X ) }.
% 1.25/1.67 parent0[0]: (8) {G0,W11,D2,L4,V2,M4} I { ! ilf_type( X, set_type ), ! empty
% 1.25/1.67 ( X ), ! ilf_type( Y, set_type ), ! member( Y, X ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15149) {G1,W5,D2,L2,V2,M2} { ! empty( X ), ! member( Y, X )
% 1.25/1.67 }.
% 1.25/1.67 parent0[1]: (15147) {G1,W8,D2,L3,V2,M3} { ! empty( X ), ! ilf_type( Y,
% 1.25/1.67 set_type ), ! member( Y, X ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := Y
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (94) {G1,W5,D2,L2,V2,M2} S(8);r(47);r(47) { ! empty( X ), !
% 1.25/1.67 member( Y, X ) }.
% 1.25/1.67 parent0: (15149) {G1,W5,D2,L2,V2,M2} { ! empty( X ), ! member( Y, X ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 1
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15150) {G1,W6,D2,L2,V3,M2} { ! empty( X ), alpha1( X, Z, Y )
% 1.25/1.67 }.
% 1.25/1.67 parent0[1]: (94) {G1,W5,D2,L2,V2,M2} S(8);r(47);r(47) { ! empty( X ), !
% 1.25/1.67 member( Y, X ) }.
% 1.25/1.67 parent1[0]: (24) {G0,W7,D2,L2,V3,M2} I { member( Z, X ), alpha1( X, Y, Z )
% 1.25/1.67 }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Z
% 1.25/1.67 Z := Y
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (95) {G2,W6,D2,L2,V3,M2} R(94,24) { ! empty( X ), alpha1( X, Y
% 1.25/1.67 , Z ) }.
% 1.25/1.67 parent0: (15150) {G1,W6,D2,L2,V3,M2} { ! empty( X ), alpha1( X, Z, Y ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Z
% 1.25/1.67 Z := Y
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 1
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15151) {G1,W6,D3,L2,V1,M2} { member( skol4( X ), X ), empty(
% 1.25/1.67 X ) }.
% 1.25/1.67 parent0[0]: (10) {G0,W9,D3,L3,V1,M3} I { ! ilf_type( X, set_type ), member
% 1.25/1.67 ( skol4( X ), X ), empty( X ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (106) {G1,W6,D3,L2,V1,M2} S(10);r(47) { member( skol4( X ), X
% 1.25/1.67 ), empty( X ) }.
% 1.25/1.67 parent0: (15151) {G1,W6,D3,L2,V1,M2} { member( skol4( X ), X ), empty( X )
% 1.25/1.67 }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 1
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15152) {G2,W8,D3,L2,V3,M2} { alpha1( X, Y, Z ), member( skol4
% 1.25/1.67 ( X ), X ) }.
% 1.25/1.67 parent0[0]: (95) {G2,W6,D2,L2,V3,M2} R(94,24) { ! empty( X ), alpha1( X, Y
% 1.25/1.67 , Z ) }.
% 1.25/1.67 parent1[1]: (106) {G1,W6,D3,L2,V1,M2} S(10);r(47) { member( skol4( X ), X )
% 1.25/1.67 , empty( X ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 Z := Z
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (107) {G3,W8,D3,L2,V3,M2} R(106,95) { member( skol4( X ), X )
% 1.25/1.67 , alpha1( X, Y, Z ) }.
% 1.25/1.67 parent0: (15152) {G2,W8,D3,L2,V3,M2} { alpha1( X, Y, Z ), member( skol4( X
% 1.25/1.67 ), X ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 Z := Z
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 1
% 1.25/1.67 1 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15153) {G1,W5,D2,L2,V1,M2} { ! relation_like( X ), ilf_type(
% 1.25/1.67 X, binary_relation_type ) }.
% 1.25/1.67 parent0[0]: (15) {G0,W8,D2,L3,V1,M3} I;f { ! ilf_type( X, set_type ), !
% 1.25/1.67 relation_like( X ), ilf_type( X, binary_relation_type ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (125) {G1,W5,D2,L2,V1,M2} S(15);r(47) { ! relation_like( X ),
% 1.25/1.67 ilf_type( X, binary_relation_type ) }.
% 1.25/1.67 parent0: (15153) {G1,W5,D2,L2,V1,M2} { ! relation_like( X ), ilf_type( X,
% 1.25/1.67 binary_relation_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 1
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15156) {G1,W12,D4,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 1.25/1.67 ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type( power_set( X )
% 1.25/1.67 ) ) }.
% 1.25/1.67 parent0[0]: (17) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 1.25/1.67 ilf_type( Y, set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y,
% 1.25/1.67 member_type( power_set( X ) ) ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15158) {G1,W9,D4,L2,V2,M2} { ! ilf_type( X, subset_type( Y )
% 1.25/1.67 ), ilf_type( X, member_type( power_set( Y ) ) ) }.
% 1.25/1.67 parent0[0]: (15156) {G1,W12,D4,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 1.25/1.67 ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type( power_set( X )
% 1.25/1.67 ) ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Y
% 1.25/1.67 Y := X
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (132) {G1,W9,D4,L2,V2,M2} S(17);r(47);r(47) { ! ilf_type( Y,
% 1.25/1.67 subset_type( X ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 1.25/1.67 parent0: (15158) {G1,W9,D4,L2,V2,M2} { ! ilf_type( X, subset_type( Y ) ),
% 1.25/1.67 ilf_type( X, member_type( power_set( Y ) ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Y
% 1.25/1.67 Y := X
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 1
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15176) {G1,W14,D3,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 1.25/1.67 member( X, power_set( Y ) ), ! ilf_type( Z, set_type ), alpha1( X, Y, Z )
% 1.25/1.67 }.
% 1.25/1.67 parent0[0]: (20) {G0,W17,D3,L5,V3,M5} I { ! ilf_type( X, set_type ), !
% 1.25/1.67 ilf_type( Y, set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z,
% 1.25/1.67 set_type ), alpha1( X, Y, Z ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 Z := Z
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15183) {G1,W11,D3,L3,V3,M3} { ! member( Y, power_set( X ) ),
% 1.25/1.67 ! ilf_type( Z, set_type ), alpha1( Y, X, Z ) }.
% 1.25/1.67 parent0[0]: (15176) {G1,W14,D3,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 1.25/1.67 member( X, power_set( Y ) ), ! ilf_type( Z, set_type ), alpha1( X, Y, Z )
% 1.25/1.67 }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Y
% 1.25/1.67 Y := X
% 1.25/1.67 Z := Z
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15185) {G1,W8,D3,L2,V3,M2} { ! member( X, power_set( Y ) ),
% 1.25/1.67 alpha1( X, Y, Z ) }.
% 1.25/1.67 parent0[1]: (15183) {G1,W11,D3,L3,V3,M3} { ! member( Y, power_set( X ) ),
% 1.25/1.67 ! ilf_type( Z, set_type ), alpha1( Y, X, Z ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Y
% 1.25/1.67 Y := X
% 1.25/1.67 Z := Z
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := Z
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (160) {G1,W8,D3,L2,V3,M2} S(20);r(47);r(47);r(47) { ! member(
% 1.25/1.67 X, power_set( Y ) ), alpha1( X, Y, Z ) }.
% 1.25/1.67 parent0: (15185) {G1,W8,D3,L2,V3,M2} { ! member( X, power_set( Y ) ),
% 1.25/1.67 alpha1( X, Y, Z ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 Z := Z
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 1
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15186) {G1,W11,D3,L3,V2,M3} { ! alpha1( X, Y, skol4( X ) ),
% 1.25/1.67 member( skol4( X ), Y ), empty( X ) }.
% 1.25/1.67 parent0[1]: (23) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), ! member( Z
% 1.25/1.67 , X ), member( Z, Y ) }.
% 1.25/1.67 parent1[0]: (106) {G1,W6,D3,L2,V1,M2} S(10);r(47) { member( skol4( X ), X )
% 1.25/1.67 , empty( X ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 Z := skol4( X )
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (200) {G2,W11,D3,L3,V2,M3} R(23,106) { ! alpha1( X, Y, skol4(
% 1.25/1.67 X ) ), member( skol4( X ), Y ), empty( X ) }.
% 1.25/1.67 parent0: (15186) {G1,W11,D3,L3,V2,M3} { ! alpha1( X, Y, skol4( X ) ),
% 1.25/1.67 member( skol4( X ), Y ), empty( X ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 1
% 1.25/1.67 2 ==> 2
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15188) {G1,W13,D3,L3,V4,M3} { ! alpha1( X, Y, skol4( X ) ),
% 1.25/1.67 member( skol4( X ), Y ), alpha1( X, Z, T ) }.
% 1.25/1.67 parent0[1]: (23) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), ! member( Z
% 1.25/1.67 , X ), member( Z, Y ) }.
% 1.25/1.67 parent1[0]: (107) {G3,W8,D3,L2,V3,M2} R(106,95) { member( skol4( X ), X ),
% 1.25/1.67 alpha1( X, Y, Z ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 Z := skol4( X )
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Z
% 1.25/1.67 Z := T
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (206) {G4,W13,D3,L3,V4,M3} R(107,23) { alpha1( X, Y, Z ), !
% 1.25/1.67 alpha1( X, T, skol4( X ) ), member( skol4( X ), T ) }.
% 1.25/1.67 parent0: (15188) {G1,W13,D3,L3,V4,M3} { ! alpha1( X, Y, skol4( X ) ),
% 1.25/1.67 member( skol4( X ), Y ), alpha1( X, Z, T ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := T
% 1.25/1.67 Z := Y
% 1.25/1.67 T := Z
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 1
% 1.25/1.67 1 ==> 2
% 1.25/1.67 2 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15192) {G1,W11,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.25/1.67 ilf_type( Z, subset_type( cross_product( X, Y ) ) ), relation_like( Z )
% 1.25/1.67 }.
% 1.25/1.67 parent0[0]: (41) {G0,W14,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.25/1.67 ilf_type( Y, set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y
% 1.25/1.67 ) ) ), relation_like( Z ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 Z := Z
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15194) {G1,W8,D4,L2,V3,M2} { ! ilf_type( Y, subset_type(
% 1.25/1.67 cross_product( Z, X ) ) ), relation_like( Y ) }.
% 1.25/1.67 parent0[0]: (15192) {G1,W11,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.25/1.67 ilf_type( Z, subset_type( cross_product( X, Y ) ) ), relation_like( Z )
% 1.25/1.67 }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Z
% 1.25/1.67 Y := X
% 1.25/1.67 Z := Y
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (315) {G1,W8,D4,L2,V3,M2} S(41);r(47);r(47) { ! ilf_type( Z,
% 1.25/1.67 subset_type( cross_product( X, Y ) ) ), relation_like( Z ) }.
% 1.25/1.67 parent0: (15194) {G1,W8,D4,L2,V3,M2} { ! ilf_type( Y, subset_type(
% 1.25/1.67 cross_product( Z, X ) ) ), relation_like( Y ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Y
% 1.25/1.67 Y := Z
% 1.25/1.67 Z := X
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 1
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15199) {G1,W15,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.25/1.67 ilf_type( Z, relation_type( X, Y ) ), domain( X, Y, Z ) ==> domain_of( Z
% 1.25/1.67 ) }.
% 1.25/1.67 parent0[0]: (43) {G0,W18,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.25/1.67 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), domain(
% 1.25/1.67 X, Y, Z ) ==> domain_of( Z ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 Z := Z
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15201) {G1,W12,D3,L2,V3,M2} { ! ilf_type( Y, relation_type( Z
% 1.25/1.67 , X ) ), domain( Z, X, Y ) ==> domain_of( Y ) }.
% 1.25/1.67 parent0[0]: (15199) {G1,W15,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.25/1.67 ilf_type( Z, relation_type( X, Y ) ), domain( X, Y, Z ) ==> domain_of( Z
% 1.25/1.67 ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Z
% 1.25/1.67 Y := X
% 1.25/1.67 Z := Y
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (351) {G1,W12,D3,L2,V3,M2} S(43);r(47);r(47) { ! ilf_type( Z,
% 1.25/1.67 relation_type( X, Y ) ), domain( X, Y, Z ) ==> domain_of( Z ) }.
% 1.25/1.67 parent0: (15201) {G1,W12,D3,L2,V3,M2} { ! ilf_type( Y, relation_type( Z, X
% 1.25/1.67 ) ), domain( Z, X, Y ) ==> domain_of( Y ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Y
% 1.25/1.67 Y := Z
% 1.25/1.67 Z := X
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 1
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15205) {G1,W13,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.25/1.67 ilf_type( Z, relation_type( X, Y ) ), ilf_type( domain_of( Z ),
% 1.25/1.67 subset_type( X ) ) }.
% 1.25/1.67 parent0[0]: (44) {G1,W16,D3,L4,V3,M4} I;d(43) { ! ilf_type( X, set_type ),
% 1.25/1.67 ! ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ),
% 1.25/1.67 ilf_type( domain_of( Z ), subset_type( X ) ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 Z := Z
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15207) {G1,W10,D3,L2,V3,M2} { ! ilf_type( Y, relation_type( Z
% 1.25/1.67 , X ) ), ilf_type( domain_of( Y ), subset_type( Z ) ) }.
% 1.25/1.67 parent0[0]: (15205) {G1,W13,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.25/1.67 ilf_type( Z, relation_type( X, Y ) ), ilf_type( domain_of( Z ),
% 1.25/1.67 subset_type( X ) ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Z
% 1.25/1.67 Y := X
% 1.25/1.67 Z := Y
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (358) {G2,W10,D3,L2,V3,M2} S(44);r(47);r(47) { ! ilf_type( Z,
% 1.25/1.67 relation_type( X, Y ) ), ilf_type( domain_of( Z ), subset_type( X ) ) }.
% 1.25/1.67 parent0: (15207) {G1,W10,D3,L2,V3,M2} { ! ilf_type( Y, relation_type( Z, X
% 1.25/1.67 ) ), ilf_type( domain_of( Y ), subset_type( Z ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Y
% 1.25/1.67 Y := Z
% 1.25/1.67 Z := X
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 1
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15212) {G1,W15,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.25/1.67 ilf_type( Z, relation_type( X, Y ) ), range( X, Y, Z ) ==> range_of( Z )
% 1.25/1.67 }.
% 1.25/1.67 parent0[0]: (45) {G0,W18,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.25/1.67 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), range( X
% 1.25/1.67 , Y, Z ) ==> range_of( Z ) }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 Z := Z
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15214) {G1,W12,D3,L2,V3,M2} { ! ilf_type( Y, relation_type( Z
% 1.25/1.67 , X ) ), range( Z, X, Y ) ==> range_of( Y ) }.
% 1.25/1.67 parent0[0]: (15212) {G1,W15,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.25/1.67 ilf_type( Z, relation_type( X, Y ) ), range( X, Y, Z ) ==> range_of( Z )
% 1.25/1.67 }.
% 1.25/1.67 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Z
% 1.25/1.67 Y := X
% 1.25/1.67 Z := Y
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (373) {G1,W12,D3,L2,V3,M2} S(45);r(47);r(47) { ! ilf_type( Z,
% 1.25/1.67 relation_type( X, Y ) ), range( X, Y, Z ) ==> range_of( Z ) }.
% 1.25/1.67 parent0: (15214) {G1,W12,D3,L2,V3,M2} { ! ilf_type( Y, relation_type( Z, X
% 1.25/1.67 ) ), range( Z, X, Y ) ==> range_of( Y ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Y
% 1.25/1.67 Y := Z
% 1.25/1.67 Z := X
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 1
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15216) {G1,W13,D4,L2,V0,M2} { ! ilf_type( skol4( domain(
% 1.25/1.67 skol12, skol11, skol13 ) ), member_type( skol12 ) ), empty( domain(
% 1.25/1.67 skol12, skol11, skol13 ) ) }.
% 1.25/1.67 parent0[1]: (53) {G0,W10,D3,L2,V1,M2} I { ! ilf_type( X, member_type(
% 1.25/1.67 skol12 ) ), ! member( X, domain( skol12, skol11, skol13 ) ) }.
% 1.25/1.67 parent1[0]: (106) {G1,W6,D3,L2,V1,M2} S(10);r(47) { member( skol4( X ), X )
% 1.25/1.67 , empty( X ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := skol4( domain( skol12, skol11, skol13 ) )
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := domain( skol12, skol11, skol13 )
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (394) {G2,W13,D4,L2,V0,M2} R(53,106) { ! ilf_type( skol4(
% 1.25/1.67 domain( skol12, skol11, skol13 ) ), member_type( skol12 ) ), empty(
% 1.25/1.67 domain( skol12, skol11, skol13 ) ) }.
% 1.25/1.67 parent0: (15216) {G1,W13,D4,L2,V0,M2} { ! ilf_type( skol4( domain( skol12
% 1.25/1.67 , skol11, skol13 ) ), member_type( skol12 ) ), empty( domain( skol12,
% 1.25/1.67 skol11, skol13 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 1
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15217) {G1,W6,D4,L1,V0,M1} { ilf_type( skol13, subset_type(
% 1.25/1.67 cross_product( skol12, skol11 ) ) ) }.
% 1.25/1.67 parent0[0]: (77) {G1,W11,D4,L2,V3,M2} S(3);r(47);r(47) { ! ilf_type( Z,
% 1.25/1.67 relation_type( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y )
% 1.25/1.67 ) ) }.
% 1.25/1.67 parent1[0]: (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type(
% 1.25/1.67 skol12, skol11 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := skol12
% 1.25/1.67 Y := skol11
% 1.25/1.67 Z := skol13
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (941) {G2,W6,D4,L1,V0,M1} R(77,50) { ilf_type( skol13,
% 1.25/1.67 subset_type( cross_product( skol12, skol11 ) ) ) }.
% 1.25/1.67 parent0: (15217) {G1,W6,D4,L1,V0,M1} { ilf_type( skol13, subset_type(
% 1.25/1.67 cross_product( skol12, skol11 ) ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15218) {G2,W2,D2,L1,V0,M1} { relation_like( skol13 ) }.
% 1.25/1.67 parent0[0]: (315) {G1,W8,D4,L2,V3,M2} S(41);r(47);r(47) { ! ilf_type( Z,
% 1.25/1.67 subset_type( cross_product( X, Y ) ) ), relation_like( Z ) }.
% 1.25/1.67 parent1[0]: (941) {G2,W6,D4,L1,V0,M1} R(77,50) { ilf_type( skol13,
% 1.25/1.67 subset_type( cross_product( skol12, skol11 ) ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := skol12
% 1.25/1.67 Y := skol11
% 1.25/1.67 Z := skol13
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (942) {G3,W2,D2,L1,V0,M1} R(941,315) { relation_like( skol13 )
% 1.25/1.67 }.
% 1.25/1.67 parent0: (15218) {G2,W2,D2,L1,V0,M1} { relation_like( skol13 ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15219) {G2,W3,D2,L1,V0,M1} { ilf_type( skol13,
% 1.25/1.67 binary_relation_type ) }.
% 1.25/1.67 parent0[0]: (125) {G1,W5,D2,L2,V1,M2} S(15);r(47) { ! relation_like( X ),
% 1.25/1.67 ilf_type( X, binary_relation_type ) }.
% 1.25/1.67 parent1[0]: (942) {G3,W2,D2,L1,V0,M1} R(941,315) { relation_like( skol13 )
% 1.25/1.67 }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := skol13
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (951) {G4,W3,D2,L1,V0,M1} R(942,125) { ilf_type( skol13,
% 1.25/1.67 binary_relation_type ) }.
% 1.25/1.67 parent0: (15219) {G2,W3,D2,L1,V0,M1} { ilf_type( skol13,
% 1.25/1.67 binary_relation_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15220) {G2,W10,D3,L3,V3,M3} { ! member( Y, X ), ! member( Z,
% 1.25/1.67 X ), ilf_type( Z, member_type( X ) ) }.
% 1.25/1.67 parent0[0]: (94) {G1,W5,D2,L2,V2,M2} S(8);r(47);r(47) { ! empty( X ), !
% 1.25/1.67 member( Y, X ) }.
% 1.25/1.67 parent1[0]: (86) {G1,W9,D3,L3,V2,M3} S(6);r(47);r(47) { empty( Y ), !
% 1.25/1.67 member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := Z
% 1.25/1.67 Y := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (1049) {G2,W10,D3,L3,V3,M3} R(86,94) { ! member( X, Y ),
% 1.25/1.67 ilf_type( X, member_type( Y ) ), ! member( Z, Y ) }.
% 1.25/1.67 parent0: (15220) {G2,W10,D3,L3,V3,M3} { ! member( Y, X ), ! member( Z, X )
% 1.25/1.67 , ilf_type( Z, member_type( X ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := Y
% 1.25/1.67 Y := X
% 1.25/1.67 Z := X
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 0
% 1.25/1.67 2 ==> 1
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 factor: (15222) {G2,W7,D3,L2,V2,M2} { ! member( X, Y ), ilf_type( X,
% 1.25/1.67 member_type( Y ) ) }.
% 1.25/1.67 parent0[0, 2]: (1049) {G2,W10,D3,L3,V3,M3} R(86,94) { ! member( X, Y ),
% 1.25/1.67 ilf_type( X, member_type( Y ) ), ! member( Z, Y ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 Z := X
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (1057) {G3,W7,D3,L2,V2,M2} F(1049) { ! member( X, Y ),
% 1.25/1.67 ilf_type( X, member_type( Y ) ) }.
% 1.25/1.67 parent0: (15222) {G2,W7,D3,L2,V2,M2} { ! member( X, Y ), ilf_type( X,
% 1.25/1.67 member_type( Y ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 1 ==> 1
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 eqswap: (15223) {G1,W12,D3,L2,V3,M2} { domain_of( Z ) ==> domain( X, Y, Z
% 1.25/1.67 ), ! ilf_type( Z, relation_type( X, Y ) ) }.
% 1.25/1.67 parent0[1]: (351) {G1,W12,D3,L2,V3,M2} S(43);r(47);r(47) { ! ilf_type( Z,
% 1.25/1.67 relation_type( X, Y ) ), domain( X, Y, Z ) ==> domain_of( Z ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 Z := Z
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15224) {G1,W7,D3,L1,V0,M1} { domain_of( skol13 ) ==> domain(
% 1.25/1.67 skol12, skol11, skol13 ) }.
% 1.25/1.67 parent0[1]: (15223) {G1,W12,D3,L2,V3,M2} { domain_of( Z ) ==> domain( X, Y
% 1.25/1.67 , Z ), ! ilf_type( Z, relation_type( X, Y ) ) }.
% 1.25/1.67 parent1[0]: (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type(
% 1.25/1.67 skol12, skol11 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := skol12
% 1.25/1.67 Y := skol11
% 1.25/1.67 Z := skol13
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 eqswap: (15225) {G1,W7,D3,L1,V0,M1} { domain( skol12, skol11, skol13 ) ==>
% 1.25/1.67 domain_of( skol13 ) }.
% 1.25/1.67 parent0[0]: (15224) {G1,W7,D3,L1,V0,M1} { domain_of( skol13 ) ==> domain(
% 1.25/1.67 skol12, skol11, skol13 ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (11060) {G2,W7,D3,L1,V0,M1} R(351,50) { domain( skol12, skol11
% 1.25/1.67 , skol13 ) ==> domain_of( skol13 ) }.
% 1.25/1.67 parent0: (15225) {G1,W7,D3,L1,V0,M1} { domain( skol12, skol11, skol13 )
% 1.25/1.67 ==> domain_of( skol13 ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15226) {G1,W5,D3,L1,V0,M1} { ilf_type( domain_of( skol13 ),
% 1.25/1.67 subset_type( skol12 ) ) }.
% 1.25/1.67 parent0[0]: (358) {G2,W10,D3,L2,V3,M2} S(44);r(47);r(47) { ! ilf_type( Z,
% 1.25/1.67 relation_type( X, Y ) ), ilf_type( domain_of( Z ), subset_type( X ) ) }.
% 1.25/1.67 parent1[0]: (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type(
% 1.25/1.67 skol12, skol11 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := skol12
% 1.25/1.67 Y := skol11
% 1.25/1.67 Z := skol13
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (11411) {G3,W5,D3,L1,V0,M1} R(358,50) { ilf_type( domain_of(
% 1.25/1.67 skol13 ), subset_type( skol12 ) ) }.
% 1.25/1.67 parent0: (15226) {G1,W5,D3,L1,V0,M1} { ilf_type( domain_of( skol13 ),
% 1.25/1.67 subset_type( skol12 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15227) {G2,W6,D4,L1,V0,M1} { ilf_type( domain_of( skol13 ),
% 1.25/1.67 member_type( power_set( skol12 ) ) ) }.
% 1.25/1.67 parent0[0]: (132) {G1,W9,D4,L2,V2,M2} S(17);r(47);r(47) { ! ilf_type( Y,
% 1.25/1.67 subset_type( X ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 1.25/1.67 parent1[0]: (11411) {G3,W5,D3,L1,V0,M1} R(358,50) { ilf_type( domain_of(
% 1.25/1.67 skol13 ), subset_type( skol12 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := skol12
% 1.25/1.67 Y := domain_of( skol13 )
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (11412) {G4,W6,D4,L1,V0,M1} R(11411,132) { ilf_type( domain_of
% 1.25/1.67 ( skol13 ), member_type( power_set( skol12 ) ) ) }.
% 1.25/1.67 parent0: (15227) {G2,W6,D4,L1,V0,M1} { ilf_type( domain_of( skol13 ),
% 1.25/1.67 member_type( power_set( skol12 ) ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15228) {G2,W8,D3,L2,V0,M2} { empty( power_set( skol12 ) ),
% 1.25/1.67 member( domain_of( skol13 ), power_set( skol12 ) ) }.
% 1.25/1.67 parent0[1]: (85) {G1,W9,D3,L3,V2,M3} S(5);r(47);r(47) { empty( Y ), !
% 1.25/1.67 ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 1.25/1.67 parent1[0]: (11412) {G4,W6,D4,L1,V0,M1} R(11411,132) { ilf_type( domain_of
% 1.25/1.67 ( skol13 ), member_type( power_set( skol12 ) ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := domain_of( skol13 )
% 1.25/1.67 Y := power_set( skol12 )
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15229) {G2,W5,D3,L1,V0,M1} { member( domain_of( skol13 ),
% 1.25/1.67 power_set( skol12 ) ) }.
% 1.25/1.67 parent0[0]: (76) {G1,W3,D3,L1,V1,M1} S(26);r(47) { ! empty( power_set( X )
% 1.25/1.67 ) }.
% 1.25/1.67 parent1[0]: (15228) {G2,W8,D3,L2,V0,M2} { empty( power_set( skol12 ) ),
% 1.25/1.67 member( domain_of( skol13 ), power_set( skol12 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := skol12
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (11413) {G5,W5,D3,L1,V0,M1} R(11412,85);r(76) { member(
% 1.25/1.67 domain_of( skol13 ), power_set( skol12 ) ) }.
% 1.25/1.67 parent0: (15229) {G2,W5,D3,L1,V0,M1} { member( domain_of( skol13 ),
% 1.25/1.67 power_set( skol12 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15230) {G2,W5,D3,L1,V1,M1} { alpha1( domain_of( skol13 ),
% 1.25/1.67 skol12, X ) }.
% 1.25/1.67 parent0[0]: (160) {G1,W8,D3,L2,V3,M2} S(20);r(47);r(47);r(47) { ! member( X
% 1.25/1.67 , power_set( Y ) ), alpha1( X, Y, Z ) }.
% 1.25/1.67 parent1[0]: (11413) {G5,W5,D3,L1,V0,M1} R(11412,85);r(76) { member(
% 1.25/1.67 domain_of( skol13 ), power_set( skol12 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := domain_of( skol13 )
% 1.25/1.67 Y := skol12
% 1.25/1.67 Z := X
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (11441) {G6,W5,D3,L1,V1,M1} R(11413,160) { alpha1( domain_of(
% 1.25/1.67 skol13 ), skol12, X ) }.
% 1.25/1.67 parent0: (15230) {G2,W5,D3,L1,V1,M1} { alpha1( domain_of( skol13 ), skol12
% 1.25/1.67 , X ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 paramod: (15232) {G1,W9,D3,L2,V0,M2} { member( skol14, range_of( skol13 )
% 1.25/1.67 ), ! ilf_type( skol13, relation_type( skol12, skol11 ) ) }.
% 1.25/1.67 parent0[1]: (373) {G1,W12,D3,L2,V3,M2} S(45);r(47);r(47) { ! ilf_type( Z,
% 1.25/1.67 relation_type( X, Y ) ), range( X, Y, Z ) ==> range_of( Z ) }.
% 1.25/1.67 parent1[0; 2]: (52) {G0,W6,D3,L1,V0,M1} I { member( skol14, range( skol12,
% 1.25/1.67 skol11, skol13 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := skol12
% 1.25/1.67 Y := skol11
% 1.25/1.67 Z := skol13
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15233) {G1,W4,D3,L1,V0,M1} { member( skol14, range_of( skol13
% 1.25/1.67 ) ) }.
% 1.25/1.67 parent0[1]: (15232) {G1,W9,D3,L2,V0,M2} { member( skol14, range_of( skol13
% 1.25/1.67 ) ), ! ilf_type( skol13, relation_type( skol12, skol11 ) ) }.
% 1.25/1.67 parent1[0]: (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type(
% 1.25/1.67 skol12, skol11 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (12912) {G2,W4,D3,L1,V0,M1} P(373,52);r(50) { member( skol14,
% 1.25/1.67 range_of( skol13 ) ) }.
% 1.25/1.67 parent0: (15233) {G1,W4,D3,L1,V0,M1} { member( skol14, range_of( skol13 )
% 1.25/1.67 ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15234) {G2,W8,D3,L2,V0,M2} { ! ilf_type( skol13,
% 1.25/1.67 binary_relation_type ), member( skol1( skol13 ), domain_of( skol13 ) )
% 1.25/1.67 }.
% 1.25/1.67 parent0[1]: (73) {G1,W12,D3,L3,V2,M3} S(1);r(47) { ! ilf_type( Y,
% 1.25/1.67 binary_relation_type ), ! member( X, range_of( Y ) ), member( skol1( Y )
% 1.25/1.67 , domain_of( Y ) ) }.
% 1.25/1.67 parent1[0]: (12912) {G2,W4,D3,L1,V0,M1} P(373,52);r(50) { member( skol14,
% 1.25/1.67 range_of( skol13 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := skol14
% 1.25/1.67 Y := skol13
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15235) {G3,W5,D3,L1,V0,M1} { member( skol1( skol13 ),
% 1.25/1.67 domain_of( skol13 ) ) }.
% 1.25/1.67 parent0[0]: (15234) {G2,W8,D3,L2,V0,M2} { ! ilf_type( skol13,
% 1.25/1.67 binary_relation_type ), member( skol1( skol13 ), domain_of( skol13 ) )
% 1.25/1.67 }.
% 1.25/1.67 parent1[0]: (951) {G4,W3,D2,L1,V0,M1} R(942,125) { ilf_type( skol13,
% 1.25/1.67 binary_relation_type ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (12948) {G5,W5,D3,L1,V0,M1} R(12912,73);r(951) { member( skol1
% 1.25/1.67 ( skol13 ), domain_of( skol13 ) ) }.
% 1.25/1.67 parent0: (15235) {G3,W5,D3,L1,V0,M1} { member( skol1( skol13 ), domain_of
% 1.25/1.67 ( skol13 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15236) {G2,W3,D3,L1,V0,M1} { ! empty( domain_of( skol13 ) )
% 1.25/1.67 }.
% 1.25/1.67 parent0[1]: (94) {G1,W5,D2,L2,V2,M2} S(8);r(47);r(47) { ! empty( X ), !
% 1.25/1.67 member( Y, X ) }.
% 1.25/1.67 parent1[0]: (12948) {G5,W5,D3,L1,V0,M1} R(12912,73);r(951) { member( skol1
% 1.25/1.67 ( skol13 ), domain_of( skol13 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := domain_of( skol13 )
% 1.25/1.67 Y := skol1( skol13 )
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (12990) {G6,W3,D3,L1,V0,M1} R(12948,94) { ! empty( domain_of(
% 1.25/1.67 skol13 ) ) }.
% 1.25/1.67 parent0: (15236) {G2,W3,D3,L1,V0,M1} { ! empty( domain_of( skol13 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 paramod: (15240) {G3,W11,D4,L2,V0,M2} { empty( domain_of( skol13 ) ), !
% 1.25/1.67 ilf_type( skol4( domain( skol12, skol11, skol13 ) ), member_type( skol12
% 1.25/1.67 ) ) }.
% 1.25/1.67 parent0[0]: (11060) {G2,W7,D3,L1,V0,M1} R(351,50) { domain( skol12, skol11
% 1.25/1.67 , skol13 ) ==> domain_of( skol13 ) }.
% 1.25/1.67 parent1[1; 1]: (394) {G2,W13,D4,L2,V0,M2} R(53,106) { ! ilf_type( skol4(
% 1.25/1.67 domain( skol12, skol11, skol13 ) ), member_type( skol12 ) ), empty(
% 1.25/1.67 domain( skol12, skol11, skol13 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 paramod: (15242) {G3,W9,D4,L2,V0,M2} { ! ilf_type( skol4( domain_of(
% 1.25/1.67 skol13 ) ), member_type( skol12 ) ), empty( domain_of( skol13 ) ) }.
% 1.25/1.67 parent0[0]: (11060) {G2,W7,D3,L1,V0,M1} R(351,50) { domain( skol12, skol11
% 1.25/1.67 , skol13 ) ==> domain_of( skol13 ) }.
% 1.25/1.67 parent1[1; 3]: (15240) {G3,W11,D4,L2,V0,M2} { empty( domain_of( skol13 ) )
% 1.25/1.67 , ! ilf_type( skol4( domain( skol12, skol11, skol13 ) ), member_type(
% 1.25/1.67 skol12 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15243) {G4,W6,D4,L1,V0,M1} { ! ilf_type( skol4( domain_of(
% 1.25/1.67 skol13 ) ), member_type( skol12 ) ) }.
% 1.25/1.67 parent0[0]: (12990) {G6,W3,D3,L1,V0,M1} R(12948,94) { ! empty( domain_of(
% 1.25/1.67 skol13 ) ) }.
% 1.25/1.67 parent1[1]: (15242) {G3,W9,D4,L2,V0,M2} { ! ilf_type( skol4( domain_of(
% 1.25/1.67 skol13 ) ), member_type( skol12 ) ), empty( domain_of( skol13 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (14645) {G7,W6,D4,L1,V0,M1} S(394);d(11060);d(11060);r(12990)
% 1.25/1.67 { ! ilf_type( skol4( domain_of( skol13 ) ), member_type( skol12 ) ) }.
% 1.25/1.67 parent0: (15243) {G4,W6,D4,L1,V0,M1} { ! ilf_type( skol4( domain_of(
% 1.25/1.67 skol13 ) ), member_type( skol12 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15244) {G4,W5,D4,L1,V0,M1} { ! member( skol4( domain_of(
% 1.25/1.67 skol13 ) ), skol12 ) }.
% 1.25/1.67 parent0[0]: (14645) {G7,W6,D4,L1,V0,M1} S(394);d(11060);d(11060);r(12990)
% 1.25/1.67 { ! ilf_type( skol4( domain_of( skol13 ) ), member_type( skol12 ) ) }.
% 1.25/1.67 parent1[1]: (1057) {G3,W7,D3,L2,V2,M2} F(1049) { ! member( X, Y ), ilf_type
% 1.25/1.67 ( X, member_type( Y ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := skol4( domain_of( skol13 ) )
% 1.25/1.67 Y := skol12
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (14647) {G8,W5,D4,L1,V0,M1} R(14645,1057) { ! member( skol4(
% 1.25/1.67 domain_of( skol13 ) ), skol12 ) }.
% 1.25/1.67 parent0: (15244) {G4,W5,D4,L1,V0,M1} { ! member( skol4( domain_of( skol13
% 1.25/1.67 ) ), skol12 ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15245) {G5,W12,D4,L2,V2,M2} { alpha1( domain_of( skol13 ), X
% 1.25/1.67 , Y ), ! alpha1( domain_of( skol13 ), skol12, skol4( domain_of( skol13 )
% 1.25/1.67 ) ) }.
% 1.25/1.67 parent0[0]: (14647) {G8,W5,D4,L1,V0,M1} R(14645,1057) { ! member( skol4(
% 1.25/1.67 domain_of( skol13 ) ), skol12 ) }.
% 1.25/1.67 parent1[2]: (206) {G4,W13,D3,L3,V4,M3} R(107,23) { alpha1( X, Y, Z ), !
% 1.25/1.67 alpha1( X, T, skol4( X ) ), member( skol4( X ), T ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := domain_of( skol13 )
% 1.25/1.67 Y := X
% 1.25/1.67 Z := Y
% 1.25/1.67 T := skol12
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15246) {G6,W5,D3,L1,V2,M1} { alpha1( domain_of( skol13 ), X,
% 1.25/1.67 Y ) }.
% 1.25/1.67 parent0[1]: (15245) {G5,W12,D4,L2,V2,M2} { alpha1( domain_of( skol13 ), X
% 1.25/1.67 , Y ), ! alpha1( domain_of( skol13 ), skol12, skol4( domain_of( skol13 )
% 1.25/1.67 ) ) }.
% 1.25/1.67 parent1[0]: (11441) {G6,W5,D3,L1,V1,M1} R(11413,160) { alpha1( domain_of(
% 1.25/1.67 skol13 ), skol12, X ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := skol4( domain_of( skol13 ) )
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (14652) {G9,W5,D3,L1,V2,M1} R(14647,206);r(11441) { alpha1(
% 1.25/1.67 domain_of( skol13 ), X, Y ) }.
% 1.25/1.67 parent0: (15246) {G6,W5,D3,L1,V2,M1} { alpha1( domain_of( skol13 ), X, Y )
% 1.25/1.67 }.
% 1.25/1.67 substitution0:
% 1.25/1.67 X := X
% 1.25/1.67 Y := Y
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15247) {G3,W10,D4,L2,V0,M2} { ! alpha1( domain_of( skol13 ),
% 1.25/1.67 skol12, skol4( domain_of( skol13 ) ) ), empty( domain_of( skol13 ) ) }.
% 1.25/1.67 parent0[0]: (14647) {G8,W5,D4,L1,V0,M1} R(14645,1057) { ! member( skol4(
% 1.25/1.67 domain_of( skol13 ) ), skol12 ) }.
% 1.25/1.67 parent1[1]: (200) {G2,W11,D3,L3,V2,M3} R(23,106) { ! alpha1( X, Y, skol4( X
% 1.25/1.67 ) ), member( skol4( X ), Y ), empty( X ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := domain_of( skol13 )
% 1.25/1.67 Y := skol12
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15248) {G4,W3,D3,L1,V0,M1} { empty( domain_of( skol13 ) ) }.
% 1.25/1.67 parent0[0]: (15247) {G3,W10,D4,L2,V0,M2} { ! alpha1( domain_of( skol13 ),
% 1.25/1.67 skol12, skol4( domain_of( skol13 ) ) ), empty( domain_of( skol13 ) ) }.
% 1.25/1.67 parent1[0]: (14652) {G9,W5,D3,L1,V2,M1} R(14647,206);r(11441) { alpha1(
% 1.25/1.67 domain_of( skol13 ), X, Y ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 X := skol12
% 1.25/1.67 Y := skol4( domain_of( skol13 ) )
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (14655) {G10,W3,D3,L1,V0,M1} R(14647,200);r(14652) { empty(
% 1.25/1.67 domain_of( skol13 ) ) }.
% 1.25/1.67 parent0: (15248) {G4,W3,D3,L1,V0,M1} { empty( domain_of( skol13 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 0 ==> 0
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 resolution: (15249) {G7,W0,D0,L0,V0,M0} { }.
% 1.25/1.67 parent0[0]: (12990) {G6,W3,D3,L1,V0,M1} R(12948,94) { ! empty( domain_of(
% 1.25/1.67 skol13 ) ) }.
% 1.25/1.67 parent1[0]: (14655) {G10,W3,D3,L1,V0,M1} R(14647,200);r(14652) { empty(
% 1.25/1.67 domain_of( skol13 ) ) }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 substitution1:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 subsumption: (14666) {G11,W0,D0,L0,V0,M0} S(14655);r(12990) { }.
% 1.25/1.67 parent0: (15249) {G7,W0,D0,L0,V0,M0} { }.
% 1.25/1.67 substitution0:
% 1.25/1.67 end
% 1.25/1.67 permutation0:
% 1.25/1.67 end
% 1.25/1.67
% 1.25/1.67 Proof check complete!
% 1.25/1.67
% 1.25/1.67 Memory use:
% 1.25/1.67
% 1.25/1.67 space for terms: 167860
% 1.25/1.67 space for clauses: 622827
% 1.25/1.67
% 1.25/1.67
% 1.25/1.67 clauses generated: 34089
% 1.25/1.67 clauses kept: 14667
% 1.25/1.67 clauses selected: 941
% 1.25/1.67 clauses deleted: 193
% 1.25/1.67 clauses inuse deleted: 44
% 1.25/1.67
% 1.25/1.67 subsentry: 80469
% 1.25/1.67 literals s-matched: 63268
% 1.25/1.67 literals matched: 60495
% 1.25/1.67 full subsumption: 3384
% 1.25/1.67
% 1.25/1.67 checksum: -1773599796
% 1.25/1.67
% 1.25/1.67
% 1.25/1.67 Bliksem ended
%------------------------------------------------------------------------------