TSTP Solution File: SET682+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET682+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 22:51:22 EDT 2022
% Result : Theorem 1.33s 1.70s
% Output : Refutation 1.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET682+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 11 09:00:58 EDT 2022
% 0.12/0.33 % 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, domain_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, domain_of( Y ) ), member( skol1( Y ), range_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(
% 1.33/1.69 ordered_pair( X, Y ), set_type ) }.
% 1.33/1.69 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 1.33/1.69 relation_type( X, Y ) ), domain( X, Y, Z ) = domain_of( Z ) }.
% 1.33/1.69 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 1.33/1.69 relation_type( X, Y ) ), ilf_type( domain( X, Y, Z ), subset_type( X ) )
% 1.33/1.69 }.
% 1.33/1.69 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 1.33/1.69 relation_type( X, Y ) ), range( X, Y, Z ) = range_of( Z ) }.
% 1.33/1.69 { ! ilf_type( X, set_type ), ! ilf_type( Y, set_type ), ! ilf_type( Z,
% 1.33/1.69 relation_type( X, Y ) ), ilf_type( range( X, Y, Z ), subset_type( Y ) ) }
% 1.33/1.69 .
% 1.33/1.69 { ilf_type( X, set_type ) }.
% 1.33/1.69 { ! empty( skol11 ) }.
% 1.33/1.69 { ilf_type( skol11, set_type ) }.
% 1.33/1.69 { ! empty( skol12 ) }.
% 1.33/1.69 { ilf_type( skol12, set_type ) }.
% 1.33/1.69 { ilf_type( skol13, relation_type( skol11, skol12 ) ) }.
% 1.33/1.69 { ilf_type( skol14, member_type( skol11 ) ) }.
% 1.33/1.69 { member( skol14, domain( skol11, skol12, skol13 ) ) }.
% 1.33/1.69 { ! ilf_type( X, member_type( skol12 ) ), ! member( X, range( skol11,
% 1.33/1.69 skol12, skol13 ) ) }.
% 1.33/1.69
% 1.33/1.69 percentage equality = 0.025316, percentage horn = 0.839286
% 1.33/1.69 This is a problem with some equality
% 1.33/1.69
% 1.33/1.69
% 1.33/1.69
% 1.33/1.69 Options Used:
% 1.33/1.69
% 1.33/1.69 useres = 1
% 1.33/1.69 useparamod = 1
% 1.33/1.69 useeqrefl = 1
% 1.33/1.69 useeqfact = 1
% 1.33/1.69 usefactor = 1
% 1.33/1.69 usesimpsplitting = 0
% 1.33/1.69 usesimpdemod = 5
% 1.33/1.69 usesimpres = 3
% 1.33/1.69
% 1.33/1.69 resimpinuse = 1000
% 1.33/1.69 resimpclauses = 20000
% 1.33/1.69 substype = eqrewr
% 1.33/1.69 backwardsubs = 1
% 1.33/1.69 selectoldest = 5
% 1.33/1.69
% 1.33/1.69 litorderings [0] = split
% 1.33/1.69 litorderings [1] = extend the termordering, first sorting on arguments
% 1.33/1.69
% 1.33/1.69 termordering = kbo
% 1.33/1.69
% 1.33/1.69 litapriori = 0
% 1.33/1.69 termapriori = 1
% 1.33/1.69 litaposteriori = 0
% 1.33/1.69 termaposteriori = 0
% 1.33/1.69 demodaposteriori = 0
% 1.33/1.69 ordereqreflfact = 0
% 1.33/1.69
% 1.33/1.69 litselect = negord
% 1.33/1.69
% 1.33/1.69 maxweight = 15
% 1.33/1.69 maxdepth = 30000
% 1.33/1.69 maxlength = 115
% 1.33/1.69 maxnrvars = 195
% 1.33/1.69 excuselevel = 1
% 1.33/1.69 increasemaxweight = 1
% 1.33/1.69
% 1.33/1.69 maxselected = 10000000
% 1.33/1.69 maxnrclauses = 10000000
% 1.33/1.69
% 1.33/1.69 showgenerated = 0
% 1.33/1.69 showkept = 0
% 1.33/1.69 showselected = 0
% 1.33/1.69 showdeleted = 0
% 1.33/1.69 showresimp = 1
% 1.33/1.69 showstatus = 2000
% 1.33/1.69
% 1.33/1.69 prologoutput = 0
% 1.33/1.69 nrgoals = 5000000
% 1.33/1.69 totalproof = 1
% 1.33/1.69
% 1.33/1.69 Symbols occurring in the translation:
% 1.33/1.69
% 1.33/1.69 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.33/1.69 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 1.33/1.69 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 1.33/1.69 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.33/1.69 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.33/1.69 set_type [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 1.33/1.69 ilf_type [37, 2] (w:1, o:61, a:1, s:1, b:0),
% 1.33/1.69 binary_relation_type [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.33/1.69 domain_of [40, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.33/1.69 member [41, 2] (w:1, o:62, a:1, s:1, b:0),
% 1.33/1.69 range_of [43, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.33/1.69 cross_product [44, 2] (w:1, o:63, a:1, s:1, b:0),
% 1.33/1.69 subset_type [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.33/1.69 relation_type [46, 2] (w:1, o:64, a:1, s:1, b:0),
% 1.33/1.69 empty [48, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.33/1.69 member_type [49, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.33/1.69 relation_like [50, 1] (w:1, o:25, a:1, s:1, b:0),
% 1.33/1.69 power_set [51, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.33/1.69 ordered_pair [52, 2] (w:1, o:65, a:1, s:1, b:0),
% 1.33/1.69 domain [53, 3] (w:1, o:71, a:1, s:1, b:0),
% 1.33/1.69 range [54, 3] (w:1, o:72, a:1, s:1, b:0),
% 1.33/1.69 alpha1 [56, 3] (w:1, o:73, a:1, s:1, b:1),
% 1.33/1.69 alpha2 [57, 1] (w:1, o:30, a:1, s:1, b:1),
% 1.33/1.69 alpha3 [58, 2] (w:1, o:66, a:1, s:1, b:1),
% 1.33/1.69 alpha4 [59, 2] (w:1, o:67, a:1, s:1, b:1),
% 1.33/1.69 skol1 [60, 1] (w:1, o:31, a:1, s:1, b:1),
% 1.33/1.69 skol2 [61, 2] (w:1, o:69, a:1, s:1, b:1),
% 1.33/1.69 skol3 [62, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.33/1.69 skol4 [63, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.33/1.69 skol5 [64, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.33/1.69 skol6 [65, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.33/1.69 skol7 [66, 2] (w:1, o:70, a:1, s:1, b:1),
% 1.33/1.69 skol8 [67, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.33/1.69 skol9 [68, 1] (w:1, o:36, a:1, s:1, b:1),
% 1.33/1.69 skol10 [69, 2] (w:1, o:68, a:1, s:1, b:1),
% 1.33/1.69 skol11 [70, 0] (w:1, o:14, a:1, s:1, b:1),
% 1.33/1.69 skol12 [71, 0] (w:1, o:15, a:1, s:1, b:1),
% 1.33/1.69 skol13 [72, 0] (w:1, o:16, a:1, s:1, b:1),
% 1.33/1.69 skol14 [73, 0] (w:1, o:17, a:1, s:1, b:1).
% 1.33/1.69
% 1.33/1.69
% 1.33/1.69 Starting Search:
% 1.33/1.69
% 1.33/1.69 *** allocated 15000 integers for clauses
% 1.33/1.69 *** allocated 22500 integers for clauses
% 1.33/1.69 *** allocated 33750 integers for clauses
% 1.33/1.69 *** allocated 50625 integers for clauses
% 1.33/1.69 *** allocated 15000 integers for termspace/termends
% 1.33/1.69 Resimplifying inuse:
% 1.33/1.69 Done
% 1.33/1.69
% 1.33/1.69 *** allocated 75937 integers for clauses
% 1.33/1.69 *** allocated 22500 integers for termspace/termends
% 1.33/1.69 *** allocated 113905 integers for clauses
% 1.33/1.69 *** allocated 33750 integers for termspace/termends
% 1.33/1.69
% 1.33/1.69 Intermediate Status:
% 1.33/1.69 Generated: 5290
% 1.33/1.69 Kept: 2008
% 1.33/1.69 Inuse: 316
% 1.33/1.69 Deleted: 77
% 1.33/1.69 Deletedinuse: 15
% 1.33/1.69
% 1.33/1.69 Resimplifying inuse:
% 1.33/1.69 Done
% 1.33/1.69
% 1.33/1.69 *** allocated 170857 integers for clauses
% 1.33/1.69 Resimplifying inuse:
% 1.33/1.69 Done
% 1.33/1.69
% 1.33/1.69 *** allocated 50625 integers for termspace/termends
% 1.33/1.69 *** allocated 256285 integers for clauses
% 1.33/1.69
% 1.33/1.69 Intermediate Status:
% 1.33/1.69 Generated: 10193
% 1.33/1.69 Kept: 4017
% 1.33/1.69 Inuse: 429
% 1.33/1.69 Deleted: 98
% 1.33/1.69 Deletedinuse: 20
% 1.33/1.69
% 1.33/1.69 Resimplifying inuse:
% 1.33/1.69 Done
% 1.33/1.69
% 1.33/1.69 *** allocated 75937 integers for termspace/termends
% 1.33/1.69 Resimplifying inuse:
% 1.33/1.70 Done
% 1.33/1.70
% 1.33/1.70 *** allocated 384427 integers for clauses
% 1.33/1.70
% 1.33/1.70 Intermediate Status:
% 1.33/1.70 Generated: 15033
% 1.33/1.70 Kept: 6017
% 1.33/1.70 Inuse: 520
% 1.33/1.70 Deleted: 116
% 1.33/1.70 Deletedinuse: 24
% 1.33/1.70
% 1.33/1.70 Resimplifying inuse:
% 1.33/1.70 Done
% 1.33/1.70
% 1.33/1.70 *** allocated 113905 integers for termspace/termends
% 1.33/1.70 Resimplifying inuse:
% 1.33/1.70 Done
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 Intermediate Status:
% 1.33/1.70 Generated: 20466
% 1.33/1.70 Kept: 8039
% 1.33/1.70 Inuse: 653
% 1.33/1.70 Deleted: 150
% 1.33/1.70 Deletedinuse: 26
% 1.33/1.70
% 1.33/1.70 Resimplifying inuse:
% 1.33/1.70 Done
% 1.33/1.70
% 1.33/1.70 *** allocated 576640 integers for clauses
% 1.33/1.70 Resimplifying inuse:
% 1.33/1.70 Done
% 1.33/1.70
% 1.33/1.70 *** allocated 170857 integers for termspace/termends
% 1.33/1.70
% 1.33/1.70 Intermediate Status:
% 1.33/1.70 Generated: 24829
% 1.33/1.70 Kept: 10050
% 1.33/1.70 Inuse: 729
% 1.33/1.70 Deleted: 153
% 1.33/1.70 Deletedinuse: 26
% 1.33/1.70
% 1.33/1.70 Resimplifying inuse:
% 1.33/1.70 Done
% 1.33/1.70
% 1.33/1.70 Resimplifying inuse:
% 1.33/1.70 Done
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 Intermediate Status:
% 1.33/1.70 Generated: 29123
% 1.33/1.70 Kept: 12072
% 1.33/1.70 Inuse: 810
% 1.33/1.70 Deleted: 170
% 1.33/1.70 Deletedinuse: 38
% 1.33/1.70
% 1.33/1.70 Resimplifying inuse:
% 1.33/1.70 Done
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 Bliksems!, er is een bewijs:
% 1.33/1.70 % SZS status Theorem
% 1.33/1.70 % SZS output start Refutation
% 1.33/1.70
% 1.33/1.70 (1) {G0,W15,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 binary_relation_type ), ! member( X, domain_of( Y ) ), member( skol1( Y )
% 1.33/1.70 , range_of( Y ) ) }.
% 1.33/1.70 (3) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z,
% 1.33/1.70 subset_type( cross_product( X, Y ) ) ) }.
% 1.33/1.70 (5) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty( Y ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y
% 1.33/1.70 ) }.
% 1.33/1.70 (6) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty( Y ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X, member_type( Y )
% 1.33/1.70 ) }.
% 1.33/1.70 (8) {G0,W11,D2,L4,V2,M4} I { ! ilf_type( X, set_type ), ! empty( X ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! member( Y, X ) }.
% 1.33/1.70 (10) {G0,W9,D3,L3,V1,M3} I { ! ilf_type( X, set_type ), member( skol4( X )
% 1.33/1.70 , X ), empty( X ) }.
% 1.33/1.70 (15) {G0,W8,D2,L3,V1,M3} I;f { ! ilf_type( X, set_type ), ! relation_like(
% 1.33/1.70 X ), ilf_type( X, binary_relation_type ) }.
% 1.33/1.70 (17) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type(
% 1.33/1.70 power_set( X ) ) ) }.
% 1.33/1.70 (20) {G0,W17,D3,L5,V3,M5} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z, set_type ),
% 1.33/1.70 alpha1( X, Y, Z ) }.
% 1.33/1.70 (23) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), ! member( Z, X ), member
% 1.33/1.70 ( Z, Y ) }.
% 1.33/1.70 (26) {G0,W6,D3,L2,V1,M2} I { ! ilf_type( X, set_type ), ! empty( power_set
% 1.33/1.70 ( X ) ) }.
% 1.33/1.70 (41) {G0,W14,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 1.33/1.70 relation_like( Z ) }.
% 1.33/1.70 (43) {G0,W18,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), domain( X, Y, Z ) ==>
% 1.33/1.70 domain_of( Z ) }.
% 1.33/1.70 (45) {G0,W18,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), range( X, Y, Z ) ==>
% 1.33/1.70 range_of( Z ) }.
% 1.33/1.70 (46) {G1,W16,D3,L4,V3,M4} I;d(45) { ! ilf_type( X, set_type ), ! ilf_type(
% 1.33/1.70 Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( range_of
% 1.33/1.70 ( Z ), subset_type( Y ) ) }.
% 1.33/1.70 (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type( skol11,
% 1.33/1.70 skol12 ) ) }.
% 1.33/1.70 (52) {G0,W6,D3,L1,V0,M1} I { member( skol14, domain( skol11, skol12, skol13
% 1.33/1.70 ) ) }.
% 1.33/1.70 (53) {G0,W10,D3,L2,V1,M2} I { ! ilf_type( X, member_type( skol12 ) ), !
% 1.33/1.70 member( X, range( skol11, skol12, skol13 ) ) }.
% 1.33/1.70 (73) {G1,W12,D3,L3,V2,M3} S(1);r(47) { ! ilf_type( Y, binary_relation_type
% 1.33/1.70 ), ! member( X, domain_of( Y ) ), member( skol1( Y ), range_of( Y ) )
% 1.33/1.70 }.
% 1.33/1.70 (76) {G1,W3,D3,L1,V1,M1} S(26);r(47) { ! empty( power_set( X ) ) }.
% 1.33/1.70 (77) {G1,W11,D4,L2,V3,M2} S(3);r(47);r(47) { ! ilf_type( Z, relation_type(
% 1.33/1.70 X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y ) ) ) }.
% 1.33/1.70 (85) {G1,W9,D3,L3,V2,M3} S(5);r(47);r(47) { empty( Y ), ! ilf_type( X,
% 1.33/1.70 member_type( Y ) ), member( X, Y ) }.
% 1.33/1.70 (86) {G1,W9,D3,L3,V2,M3} S(6);r(47);r(47) { empty( Y ), ! member( X, Y ),
% 1.33/1.70 ilf_type( X, member_type( Y ) ) }.
% 1.33/1.70 (94) {G1,W5,D2,L2,V2,M2} S(8);r(47);r(47) { ! empty( X ), ! member( Y, X )
% 1.33/1.70 }.
% 1.33/1.70 (106) {G1,W6,D3,L2,V1,M2} S(10);r(47) { member( skol4( X ), X ), empty( X )
% 1.33/1.70 }.
% 1.33/1.70 (110) {G2,W7,D3,L2,V2,M2} R(106,94) { member( skol4( X ), X ), ! member( Y
% 1.33/1.70 , X ) }.
% 1.33/1.70 (125) {G1,W5,D2,L2,V1,M2} S(15);r(47) { ! relation_like( X ), ilf_type( X,
% 1.33/1.70 binary_relation_type ) }.
% 1.33/1.70 (132) {G1,W9,D4,L2,V2,M2} S(17);r(47);r(47) { ! ilf_type( Y, subset_type( X
% 1.33/1.70 ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 1.33/1.70 (160) {G1,W8,D3,L2,V3,M2} S(20);r(47);r(47);r(47) { ! member( X, power_set
% 1.33/1.70 ( Y ) ), alpha1( X, Y, Z ) }.
% 1.33/1.70 (200) {G2,W11,D3,L3,V2,M3} R(23,106) { ! alpha1( X, Y, skol4( X ) ), member
% 1.33/1.70 ( skol4( X ), Y ), empty( X ) }.
% 1.33/1.70 (315) {G1,W8,D4,L2,V3,M2} S(41);r(47);r(47) { ! ilf_type( Z, subset_type(
% 1.33/1.70 cross_product( X, Y ) ) ), relation_like( Z ) }.
% 1.33/1.70 (351) {G1,W12,D3,L2,V3,M2} S(43);r(47);r(47) { ! ilf_type( Z, relation_type
% 1.33/1.70 ( X, Y ) ), domain( X, Y, Z ) ==> domain_of( Z ) }.
% 1.33/1.70 (373) {G1,W12,D3,L2,V3,M2} S(45);r(47);r(47) { ! ilf_type( Z, relation_type
% 1.33/1.70 ( X, Y ) ), range( X, Y, Z ) ==> range_of( Z ) }.
% 1.33/1.70 (380) {G2,W10,D3,L2,V3,M2} S(46);r(47);r(47) { ! ilf_type( Z, relation_type
% 1.33/1.70 ( X, Y ) ), ilf_type( range_of( Z ), subset_type( Y ) ) }.
% 1.33/1.70 (941) {G2,W6,D4,L1,V0,M1} R(77,50) { ilf_type( skol13, subset_type(
% 1.33/1.70 cross_product( skol11, skol12 ) ) ) }.
% 1.33/1.70 (942) {G3,W2,D2,L1,V0,M1} R(941,315) { relation_like( skol13 ) }.
% 1.33/1.70 (951) {G4,W3,D2,L1,V0,M1} R(942,125) { ilf_type( skol13,
% 1.33/1.70 binary_relation_type ) }.
% 1.33/1.70 (1049) {G2,W10,D3,L3,V3,M3} R(86,94) { ! member( X, Y ), ilf_type( X,
% 1.33/1.70 member_type( Y ) ), ! member( Z, Y ) }.
% 1.33/1.70 (1057) {G3,W7,D3,L2,V2,M2} F(1049) { ! member( X, Y ), ilf_type( X,
% 1.33/1.70 member_type( Y ) ) }.
% 1.33/1.70 (11068) {G2,W4,D3,L1,V0,M1} P(351,52);r(50) { member( skol14, domain_of(
% 1.33/1.70 skol13 ) ) }.
% 1.33/1.70 (11101) {G5,W5,D3,L1,V0,M1} R(11068,73);r(951) { member( skol1( skol13 ),
% 1.33/1.70 range_of( skol13 ) ) }.
% 1.33/1.70 (11139) {G6,W6,D4,L1,V0,M1} R(11101,110) { member( skol4( range_of( skol13
% 1.33/1.70 ) ), range_of( skol13 ) ) }.
% 1.33/1.70 (11140) {G6,W3,D3,L1,V0,M1} R(11101,94) { ! empty( range_of( skol13 ) ) }.
% 1.33/1.70 (12627) {G2,W7,D3,L1,V0,M1} R(373,50) { range( skol11, skol12, skol13 ) ==>
% 1.33/1.70 range_of( skol13 ) }.
% 1.33/1.70 (13010) {G3,W5,D3,L1,V0,M1} R(380,50) { ilf_type( range_of( skol13 ),
% 1.33/1.70 subset_type( skol12 ) ) }.
% 1.33/1.70 (13011) {G4,W6,D4,L1,V0,M1} R(13010,132) { ilf_type( range_of( skol13 ),
% 1.33/1.70 member_type( power_set( skol12 ) ) ) }.
% 1.33/1.70 (13012) {G5,W5,D3,L1,V0,M1} R(13011,85);r(76) { member( range_of( skol13 )
% 1.33/1.70 , power_set( skol12 ) ) }.
% 1.33/1.70 (13042) {G6,W5,D3,L1,V1,M1} R(13012,160) { alpha1( range_of( skol13 ),
% 1.33/1.70 skol12, X ) }.
% 1.33/1.70 (13053) {G7,W5,D4,L1,V0,M1} R(13042,200);r(11140) { member( skol4( range_of
% 1.33/1.70 ( skol13 ) ), skol12 ) }.
% 1.33/1.70 (13084) {G8,W6,D4,L1,V0,M1} R(13053,1057) { ilf_type( skol4( range_of(
% 1.33/1.70 skol13 ) ), member_type( skol12 ) ) }.
% 1.33/1.70 (13133) {G9,W0,D0,L0,V0,M0} R(13084,53);d(12627);r(11139) { }.
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 % SZS output end Refutation
% 1.33/1.70 found a proof!
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 Unprocessed initial clauses:
% 1.33/1.70
% 1.33/1.70 (13135) {G0,W14,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 binary_relation_type ), ! member( X, domain_of( Y ) ), ilf_type( skol1( Z
% 1.33/1.70 ), set_type ) }.
% 1.33/1.70 (13136) {G0,W15,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 binary_relation_type ), ! member( X, domain_of( Y ) ), member( skol1( Y )
% 1.33/1.70 , range_of( Y ) ) }.
% 1.33/1.70 (13137) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 1.33/1.70 ilf_type( Z, relation_type( X, Y ) ) }.
% 1.33/1.70 (13138) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z,
% 1.33/1.70 subset_type( cross_product( X, Y ) ) ) }.
% 1.33/1.70 (13139) {G0,W13,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ilf_type( skol2( X, Y ), relation_type( Y, X ) ) }.
% 1.33/1.70 (13140) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y
% 1.33/1.70 ) }.
% 1.33/1.70 (13141) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty( Y ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X, member_type( Y )
% 1.33/1.70 ) }.
% 1.33/1.70 (13142) {G0,W10,D3,L3,V1,M3} { empty( X ), ! ilf_type( X, set_type ),
% 1.33/1.70 ilf_type( skol3( X ), member_type( X ) ) }.
% 1.33/1.70 (13143) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! empty( X ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! member( Y, X ) }.
% 1.33/1.70 (13144) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol4(
% 1.33/1.70 Y ), set_type ), empty( X ) }.
% 1.33/1.70 (13145) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), member( skol4( X
% 1.33/1.70 ), X ), empty( X ) }.
% 1.33/1.70 (13146) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, binary_relation_type ),
% 1.33/1.70 ilf_type( domain_of( X ), set_type ) }.
% 1.33/1.70 (13147) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ilf_type( cross_product( X, Y ), set_type ) }.
% 1.33/1.70 (13148) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, binary_relation_type ),
% 1.33/1.70 ilf_type( range_of( X ), set_type ) }.
% 1.33/1.70 (13149) {G0,W8,D2,L3,V1,M3} { ! ilf_type( X, set_type ), ! ilf_type( X,
% 1.33/1.70 binary_relation_type ), relation_like( X ) }.
% 1.33/1.70 (13150) {G0,W9,D2,L3,V1,M3} { ! ilf_type( X, set_type ), ! ilf_type( X,
% 1.33/1.70 binary_relation_type ), ilf_type( X, set_type ) }.
% 1.33/1.70 (13151) {G0,W11,D2,L4,V1,M4} { ! ilf_type( X, set_type ), ! relation_like
% 1.33/1.70 ( X ), ! ilf_type( X, set_type ), ilf_type( X, binary_relation_type ) }.
% 1.33/1.70 (13152) {G0,W3,D2,L1,V0,M1} { ilf_type( skol5, binary_relation_type ) }.
% 1.33/1.70 (13153) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type(
% 1.33/1.70 power_set( X ) ) ) }.
% 1.33/1.70 (13154) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( Y, member_type( power_set( X ) ) ), ilf_type( Y,
% 1.33/1.70 subset_type( X ) ) }.
% 1.33/1.70 (13155) {G0,W8,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type( skol6(
% 1.33/1.70 X ), subset_type( X ) ) }.
% 1.33/1.70 (13156) {G0,W17,D3,L5,V3,M5} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z, set_type ),
% 1.33/1.70 alpha1( X, Y, Z ) }.
% 1.33/1.70 (13157) {G0,W15,D3,L4,V4,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ilf_type( skol7( Z, T ), set_type ), member( X, power_set( Y
% 1.33/1.70 ) ) }.
% 1.33/1.70 (13158) {G0,W16,D3,L4,V2,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! alpha1( X, Y, skol7( X, Y ) ), member( X, power_set( Y ) )
% 1.33/1.70 }.
% 1.33/1.70 (13159) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), ! member( Z, X ),
% 1.33/1.70 member( Z, Y ) }.
% 1.33/1.70 (13160) {G0,W7,D2,L2,V3,M2} { member( Z, X ), alpha1( X, Y, Z ) }.
% 1.33/1.70 (13161) {G0,W7,D2,L2,V3,M2} { ! member( Z, Y ), alpha1( X, Y, Z ) }.
% 1.33/1.70 (13162) {G0,W6,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ! empty(
% 1.33/1.70 power_set( X ) ) }.
% 1.33/1.70 (13163) {G0,W7,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ilf_type(
% 1.33/1.70 power_set( X ), set_type ) }.
% 1.33/1.70 (13164) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! relation_like
% 1.33/1.70 ( X ), ! ilf_type( Y, set_type ), alpha3( X, Y ) }.
% 1.33/1.70 (13165) {G0,W9,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ilf_type( skol8(
% 1.33/1.70 Y ), set_type ), relation_like( X ) }.
% 1.33/1.70 (13166) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), ! alpha3( X,
% 1.33/1.70 skol8( X ) ), relation_like( X ) }.
% 1.33/1.70 (13167) {G0,W8,D2,L3,V2,M3} { ! alpha3( X, Y ), ! member( Y, X ), alpha2(
% 1.33/1.70 Y ) }.
% 1.33/1.70 (13168) {G0,W6,D2,L2,V2,M2} { member( Y, X ), alpha3( X, Y ) }.
% 1.33/1.70 (13169) {G0,W5,D2,L2,V2,M2} { ! alpha2( Y ), alpha3( X, Y ) }.
% 1.33/1.70 (13170) {G0,W6,D3,L2,V2,M2} { ! alpha2( X ), ilf_type( skol9( Y ),
% 1.33/1.70 set_type ) }.
% 1.33/1.70 (13171) {G0,W6,D3,L2,V1,M2} { ! alpha2( X ), alpha4( X, skol9( X ) ) }.
% 1.33/1.70 (13172) {G0,W8,D2,L3,V2,M3} { ! ilf_type( Y, set_type ), ! alpha4( X, Y )
% 1.33/1.70 , alpha2( X ) }.
% 1.33/1.70 (13173) {G0,W8,D3,L2,V4,M2} { ! alpha4( X, Y ), ilf_type( skol10( Z, T ),
% 1.33/1.70 set_type ) }.
% 1.33/1.70 (13174) {G0,W10,D4,L2,V2,M2} { ! alpha4( X, Y ), X = ordered_pair( Y,
% 1.33/1.70 skol10( X, Y ) ) }.
% 1.33/1.70 (13175) {G0,W11,D3,L3,V3,M3} { ! ilf_type( Z, set_type ), ! X =
% 1.33/1.70 ordered_pair( Y, Z ), alpha4( X, Y ) }.
% 1.33/1.70 (13176) {G0,W7,D2,L3,V1,M3} { ! empty( X ), ! ilf_type( X, set_type ),
% 1.33/1.70 relation_like( X ) }.
% 1.33/1.70 (13177) {G0,W14,D4,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y ) ) ),
% 1.33/1.70 relation_like( Z ) }.
% 1.33/1.70 (13178) {G0,W11,D3,L3,V2,M3} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ilf_type( ordered_pair( X, Y ), set_type ) }.
% 1.33/1.70 (13179) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), domain( X, Y, Z ) =
% 1.33/1.70 domain_of( Z ) }.
% 1.33/1.70 (13180) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( domain( X,
% 1.33/1.70 Y, Z ), subset_type( X ) ) }.
% 1.33/1.70 (13181) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), range( X, Y, Z ) =
% 1.33/1.70 range_of( Z ) }.
% 1.33/1.70 (13182) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type( range( X, Y
% 1.33/1.70 , Z ), subset_type( Y ) ) }.
% 1.33/1.70 (13183) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 1.33/1.70 (13184) {G0,W2,D2,L1,V0,M1} { ! empty( skol11 ) }.
% 1.33/1.70 (13185) {G0,W3,D2,L1,V0,M1} { ilf_type( skol11, set_type ) }.
% 1.33/1.70 (13186) {G0,W2,D2,L1,V0,M1} { ! empty( skol12 ) }.
% 1.33/1.70 (13187) {G0,W3,D2,L1,V0,M1} { ilf_type( skol12, set_type ) }.
% 1.33/1.70 (13188) {G0,W5,D3,L1,V0,M1} { ilf_type( skol13, relation_type( skol11,
% 1.33/1.70 skol12 ) ) }.
% 1.33/1.70 (13189) {G0,W4,D3,L1,V0,M1} { ilf_type( skol14, member_type( skol11 ) )
% 1.33/1.70 }.
% 1.33/1.70 (13190) {G0,W6,D3,L1,V0,M1} { member( skol14, domain( skol11, skol12,
% 1.33/1.70 skol13 ) ) }.
% 1.33/1.70 (13191) {G0,W10,D3,L2,V1,M2} { ! ilf_type( X, member_type( skol12 ) ), !
% 1.33/1.70 member( X, range( skol11, skol12, skol13 ) ) }.
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 Total Proof:
% 1.33/1.70
% 1.33/1.70 subsumption: (1) {G0,W15,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, binary_relation_type ), ! member( X, domain_of( Y ) ),
% 1.33/1.70 member( skol1( Y ), range_of( Y ) ) }.
% 1.33/1.70 parent0: (13136) {G0,W15,D3,L4,V2,M4} { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, binary_relation_type ), ! member( X, domain_of( Y ) ),
% 1.33/1.70 member( skol1( Y ), range_of( Y ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 3 ==> 3
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (3) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type
% 1.33/1.70 ( Z, subset_type( cross_product( X, Y ) ) ) }.
% 1.33/1.70 parent0: (13138) {G0,W17,D4,L4,V3,M4} { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type
% 1.33/1.70 ( Z, subset_type( cross_product( X, Y ) ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 3 ==> 3
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (5) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty
% 1.33/1.70 ( Y ), ! ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ),
% 1.33/1.70 member( X, Y ) }.
% 1.33/1.70 parent0: (13140) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty(
% 1.33/1.70 Y ), ! ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member
% 1.33/1.70 ( X, Y ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 3 ==> 3
% 1.33/1.70 4 ==> 4
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (6) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty
% 1.33/1.70 ( Y ), ! ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X,
% 1.33/1.70 member_type( Y ) ) }.
% 1.33/1.70 parent0: (13141) {G0,W15,D3,L5,V2,M5} { ! ilf_type( X, set_type ), empty(
% 1.33/1.70 Y ), ! ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X,
% 1.33/1.70 member_type( Y ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 3 ==> 3
% 1.33/1.70 4 ==> 4
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (8) {G0,W11,D2,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 empty( X ), ! ilf_type( Y, set_type ), ! member( Y, X ) }.
% 1.33/1.70 parent0: (13143) {G0,W11,D2,L4,V2,M4} { ! ilf_type( X, set_type ), ! empty
% 1.33/1.70 ( X ), ! ilf_type( Y, set_type ), ! member( Y, X ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 3 ==> 3
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (10) {G0,W9,D3,L3,V1,M3} I { ! ilf_type( X, set_type ), member
% 1.33/1.70 ( skol4( X ), X ), empty( X ) }.
% 1.33/1.70 parent0: (13145) {G0,W9,D3,L3,V1,M3} { ! ilf_type( X, set_type ), member(
% 1.33/1.70 skol4( X ), X ), empty( X ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 factor: (13222) {G0,W8,D2,L3,V1,M3} { ! ilf_type( X, set_type ), !
% 1.33/1.70 relation_like( X ), ilf_type( X, binary_relation_type ) }.
% 1.33/1.70 parent0[0, 2]: (13151) {G0,W11,D2,L4,V1,M4} { ! ilf_type( X, set_type ), !
% 1.33/1.70 relation_like( X ), ! ilf_type( X, set_type ), ilf_type( X,
% 1.33/1.70 binary_relation_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (15) {G0,W8,D2,L3,V1,M3} I;f { ! ilf_type( X, set_type ), !
% 1.33/1.70 relation_like( X ), ilf_type( X, binary_relation_type ) }.
% 1.33/1.70 parent0: (13222) {G0,W8,D2,L3,V1,M3} { ! ilf_type( X, set_type ), !
% 1.33/1.70 relation_like( X ), ilf_type( X, binary_relation_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (17) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y,
% 1.33/1.70 member_type( power_set( X ) ) ) }.
% 1.33/1.70 parent0: (13153) {G0,W15,D4,L4,V2,M4} { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y,
% 1.33/1.70 member_type( power_set( X ) ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 3 ==> 3
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (20) {G0,W17,D3,L5,V3,M5} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z,
% 1.33/1.70 set_type ), alpha1( X, Y, Z ) }.
% 1.33/1.70 parent0: (13156) {G0,W17,D3,L5,V3,M5} { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z,
% 1.33/1.70 set_type ), alpha1( X, Y, Z ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 3 ==> 3
% 1.33/1.70 4 ==> 4
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (23) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), ! member( Z
% 1.33/1.70 , X ), member( Z, Y ) }.
% 1.33/1.70 parent0: (13159) {G0,W10,D2,L3,V3,M3} { ! alpha1( X, Y, Z ), ! member( Z,
% 1.33/1.70 X ), member( Z, Y ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (26) {G0,W6,D3,L2,V1,M2} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 empty( power_set( X ) ) }.
% 1.33/1.70 parent0: (13162) {G0,W6,D3,L2,V1,M2} { ! ilf_type( X, set_type ), ! empty
% 1.33/1.70 ( power_set( X ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (41) {G0,W14,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y
% 1.33/1.70 ) ) ), relation_like( Z ) }.
% 1.33/1.70 parent0: (13177) {G0,W14,D4,L4,V3,M4} { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y
% 1.33/1.70 ) ) ), relation_like( Z ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 3 ==> 3
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (43) {G0,W18,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), domain(
% 1.33/1.70 X, Y, Z ) ==> domain_of( Z ) }.
% 1.33/1.70 parent0: (13179) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), domain(
% 1.33/1.70 X, Y, Z ) = domain_of( Z ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 3 ==> 3
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (45) {G0,W18,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), range( X
% 1.33/1.70 , Y, Z ) ==> range_of( Z ) }.
% 1.33/1.70 parent0: (13181) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), range( X
% 1.33/1.70 , Y, Z ) = range_of( Z ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 3 ==> 3
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 paramod: (13460) {G1,W27,D3,L7,V3,M7} { ilf_type( range_of( Z ),
% 1.33/1.70 subset_type( Y ) ), ! ilf_type( X, set_type ), ! ilf_type( Y, set_type )
% 1.33/1.70 , ! ilf_type( Z, relation_type( X, Y ) ), ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ) }.
% 1.33/1.70 parent0[3]: (45) {G0,W18,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), range( X
% 1.33/1.70 , Y, Z ) ==> range_of( Z ) }.
% 1.33/1.70 parent1[3; 1]: (13182) {G0,W18,D3,L4,V3,M4} { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ),
% 1.33/1.70 ilf_type( range( X, Y, Z ), subset_type( Y ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 factor: (13463) {G1,W22,D3,L6,V3,M6} { ilf_type( range_of( X ),
% 1.33/1.70 subset_type( Y ) ), ! ilf_type( Z, set_type ), ! ilf_type( Y, set_type )
% 1.33/1.70 , ! ilf_type( X, relation_type( Z, Y ) ), ! ilf_type( Z, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ) }.
% 1.33/1.70 parent0[3, 6]: (13460) {G1,W27,D3,L7,V3,M7} { ilf_type( range_of( Z ),
% 1.33/1.70 subset_type( Y ) ), ! ilf_type( X, set_type ), ! ilf_type( Y, set_type )
% 1.33/1.70 , ! ilf_type( Z, relation_type( X, Y ) ), ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Z
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 factor: (13465) {G1,W19,D3,L5,V3,M5} { ilf_type( range_of( X ),
% 1.33/1.70 subset_type( Y ) ), ! ilf_type( Z, set_type ), ! ilf_type( Y, set_type )
% 1.33/1.70 , ! ilf_type( X, relation_type( Z, Y ) ), ! ilf_type( Y, set_type ) }.
% 1.33/1.70 parent0[1, 4]: (13463) {G1,W22,D3,L6,V3,M6} { ilf_type( range_of( X ),
% 1.33/1.70 subset_type( Y ) ), ! ilf_type( Z, set_type ), ! ilf_type( Y, set_type )
% 1.33/1.70 , ! ilf_type( X, relation_type( Z, Y ) ), ! ilf_type( Z, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 factor: (13467) {G1,W16,D3,L4,V3,M4} { ilf_type( range_of( X ),
% 1.33/1.70 subset_type( Y ) ), ! ilf_type( Z, set_type ), ! ilf_type( Y, set_type )
% 1.33/1.70 , ! ilf_type( X, relation_type( Z, Y ) ) }.
% 1.33/1.70 parent0[2, 4]: (13465) {G1,W19,D3,L5,V3,M5} { ilf_type( range_of( X ),
% 1.33/1.70 subset_type( Y ) ), ! ilf_type( Z, set_type ), ! ilf_type( Y, set_type )
% 1.33/1.70 , ! ilf_type( X, relation_type( Z, Y ) ), ! ilf_type( Y, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (46) {G1,W16,D3,L4,V3,M4} I;d(45) { ! ilf_type( X, set_type )
% 1.33/1.70 , ! ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ),
% 1.33/1.70 ilf_type( range_of( Z ), subset_type( Y ) ) }.
% 1.33/1.70 parent0: (13467) {G1,W16,D3,L4,V3,M4} { ilf_type( range_of( X ),
% 1.33/1.70 subset_type( Y ) ), ! ilf_type( Z, set_type ), ! ilf_type( Y, set_type )
% 1.33/1.70 , ! ilf_type( X, relation_type( Z, Y ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Z
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 3
% 1.33/1.70 1 ==> 0
% 1.33/1.70 2 ==> 1
% 1.33/1.70 3 ==> 2
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 parent0: (13183) {G0,W3,D2,L1,V1,M1} { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type(
% 1.33/1.70 skol11, skol12 ) ) }.
% 1.33/1.70 parent0: (13188) {G0,W5,D3,L1,V0,M1} { ilf_type( skol13, relation_type(
% 1.33/1.70 skol11, skol12 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (52) {G0,W6,D3,L1,V0,M1} I { member( skol14, domain( skol11,
% 1.33/1.70 skol12, skol13 ) ) }.
% 1.33/1.70 parent0: (13190) {G0,W6,D3,L1,V0,M1} { member( skol14, domain( skol11,
% 1.33/1.70 skol12, skol13 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (53) {G0,W10,D3,L2,V1,M2} I { ! ilf_type( X, member_type(
% 1.33/1.70 skol12 ) ), ! member( X, range( skol11, skol12, skol13 ) ) }.
% 1.33/1.70 parent0: (13191) {G0,W10,D3,L2,V1,M2} { ! ilf_type( X, member_type( skol12
% 1.33/1.70 ) ), ! member( X, range( skol11, skol12, skol13 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13585) {G1,W12,D3,L3,V2,M3} { ! ilf_type( Y,
% 1.33/1.70 binary_relation_type ), ! member( X, domain_of( Y ) ), member( skol1( Y )
% 1.33/1.70 , range_of( Y ) ) }.
% 1.33/1.70 parent0[0]: (1) {G0,W15,D3,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, binary_relation_type ), ! member( X, domain_of( Y ) ),
% 1.33/1.70 member( skol1( Y ), range_of( Y ) ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (73) {G1,W12,D3,L3,V2,M3} S(1);r(47) { ! ilf_type( Y,
% 1.33/1.70 binary_relation_type ), ! member( X, domain_of( Y ) ), member( skol1( Y )
% 1.33/1.70 , range_of( Y ) ) }.
% 1.33/1.70 parent0: (13585) {G1,W12,D3,L3,V2,M3} { ! ilf_type( Y,
% 1.33/1.70 binary_relation_type ), ! member( X, domain_of( Y ) ), member( skol1( Y )
% 1.33/1.70 , range_of( Y ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13586) {G1,W3,D3,L1,V1,M1} { ! empty( power_set( X ) ) }.
% 1.33/1.70 parent0[0]: (26) {G0,W6,D3,L2,V1,M2} I { ! ilf_type( X, set_type ), ! empty
% 1.33/1.70 ( power_set( X ) ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (76) {G1,W3,D3,L1,V1,M1} S(26);r(47) { ! empty( power_set( X )
% 1.33/1.70 ) }.
% 1.33/1.70 parent0: (13586) {G1,W3,D3,L1,V1,M1} { ! empty( power_set( X ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13589) {G1,W14,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.33/1.70 ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z, subset_type(
% 1.33/1.70 cross_product( X, Y ) ) ) }.
% 1.33/1.70 parent0[0]: (3) {G0,W17,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), ilf_type
% 1.33/1.70 ( Z, subset_type( cross_product( X, Y ) ) ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13591) {G1,W11,D4,L2,V3,M2} { ! ilf_type( Y, relation_type( Z
% 1.33/1.70 , X ) ), ilf_type( Y, subset_type( cross_product( Z, X ) ) ) }.
% 1.33/1.70 parent0[0]: (13589) {G1,W14,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.33/1.70 ilf_type( Z, relation_type( X, Y ) ), ilf_type( Z, subset_type(
% 1.33/1.70 cross_product( X, Y ) ) ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Z
% 1.33/1.70 Y := X
% 1.33/1.70 Z := Y
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (77) {G1,W11,D4,L2,V3,M2} S(3);r(47);r(47) { ! ilf_type( Z,
% 1.33/1.70 relation_type( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y )
% 1.33/1.70 ) ) }.
% 1.33/1.70 parent0: (13591) {G1,W11,D4,L2,V3,M2} { ! ilf_type( Y, relation_type( Z, X
% 1.33/1.70 ) ), ilf_type( Y, subset_type( cross_product( Z, X ) ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Y
% 1.33/1.70 Y := Z
% 1.33/1.70 Z := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13594) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 1.33/1.70 parent0[0]: (5) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty(
% 1.33/1.70 Y ), ! ilf_type( Y, set_type ), ! ilf_type( X, member_type( Y ) ), member
% 1.33/1.70 ( X, Y ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13596) {G1,W9,D3,L3,V2,M3} { empty( X ), ! ilf_type( Y,
% 1.33/1.70 member_type( X ) ), member( Y, X ) }.
% 1.33/1.70 parent0[1]: (13594) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Y
% 1.33/1.70 Y := X
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (85) {G1,W9,D3,L3,V2,M3} S(5);r(47);r(47) { empty( Y ), !
% 1.33/1.70 ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 1.33/1.70 parent0: (13596) {G1,W9,D3,L3,V2,M3} { empty( X ), ! ilf_type( Y,
% 1.33/1.70 member_type( X ) ), member( Y, X ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Y
% 1.33/1.70 Y := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13599) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 1.33/1.70 parent0[0]: (6) {G0,W15,D3,L5,V2,M5} I { ! ilf_type( X, set_type ), empty(
% 1.33/1.70 Y ), ! ilf_type( Y, set_type ), ! member( X, Y ), ilf_type( X,
% 1.33/1.70 member_type( Y ) ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13601) {G1,W9,D3,L3,V2,M3} { empty( X ), ! member( Y, X ),
% 1.33/1.70 ilf_type( Y, member_type( X ) ) }.
% 1.33/1.70 parent0[1]: (13599) {G1,W12,D3,L4,V2,M4} { empty( Y ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Y
% 1.33/1.70 Y := X
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (86) {G1,W9,D3,L3,V2,M3} S(6);r(47);r(47) { empty( Y ), !
% 1.33/1.70 member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 1.33/1.70 parent0: (13601) {G1,W9,D3,L3,V2,M3} { empty( X ), ! member( Y, X ),
% 1.33/1.70 ilf_type( Y, member_type( X ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Y
% 1.33/1.70 Y := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13604) {G1,W8,D2,L3,V2,M3} { ! empty( X ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! member( Y, X ) }.
% 1.33/1.70 parent0[0]: (8) {G0,W11,D2,L4,V2,M4} I { ! ilf_type( X, set_type ), ! empty
% 1.33/1.70 ( X ), ! ilf_type( Y, set_type ), ! member( Y, X ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13606) {G1,W5,D2,L2,V2,M2} { ! empty( X ), ! member( Y, X )
% 1.33/1.70 }.
% 1.33/1.70 parent0[1]: (13604) {G1,W8,D2,L3,V2,M3} { ! empty( X ), ! ilf_type( Y,
% 1.33/1.70 set_type ), ! member( Y, X ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := Y
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (94) {G1,W5,D2,L2,V2,M2} S(8);r(47);r(47) { ! empty( X ), !
% 1.33/1.70 member( Y, X ) }.
% 1.33/1.70 parent0: (13606) {G1,W5,D2,L2,V2,M2} { ! empty( X ), ! member( Y, X ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13607) {G1,W6,D3,L2,V1,M2} { member( skol4( X ), X ), empty(
% 1.33/1.70 X ) }.
% 1.33/1.70 parent0[0]: (10) {G0,W9,D3,L3,V1,M3} I { ! ilf_type( X, set_type ), member
% 1.33/1.70 ( skol4( X ), X ), empty( X ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (106) {G1,W6,D3,L2,V1,M2} S(10);r(47) { member( skol4( X ), X
% 1.33/1.70 ), empty( X ) }.
% 1.33/1.70 parent0: (13607) {G1,W6,D3,L2,V1,M2} { member( skol4( X ), X ), empty( X )
% 1.33/1.70 }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13608) {G2,W7,D3,L2,V2,M2} { ! member( Y, X ), member( skol4
% 1.33/1.70 ( X ), X ) }.
% 1.33/1.70 parent0[0]: (94) {G1,W5,D2,L2,V2,M2} S(8);r(47);r(47) { ! empty( X ), !
% 1.33/1.70 member( Y, X ) }.
% 1.33/1.70 parent1[1]: (106) {G1,W6,D3,L2,V1,M2} S(10);r(47) { member( skol4( X ), X )
% 1.33/1.70 , empty( X ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (110) {G2,W7,D3,L2,V2,M2} R(106,94) { member( skol4( X ), X )
% 1.33/1.70 , ! member( Y, X ) }.
% 1.33/1.70 parent0: (13608) {G2,W7,D3,L2,V2,M2} { ! member( Y, X ), member( skol4( X
% 1.33/1.70 ), X ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 1
% 1.33/1.70 1 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13610) {G1,W5,D2,L2,V1,M2} { ! relation_like( X ), ilf_type(
% 1.33/1.70 X, binary_relation_type ) }.
% 1.33/1.70 parent0[0]: (15) {G0,W8,D2,L3,V1,M3} I;f { ! ilf_type( X, set_type ), !
% 1.33/1.70 relation_like( X ), ilf_type( X, binary_relation_type ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (125) {G1,W5,D2,L2,V1,M2} S(15);r(47) { ! relation_like( X ),
% 1.33/1.70 ilf_type( X, binary_relation_type ) }.
% 1.33/1.70 parent0: (13610) {G1,W5,D2,L2,V1,M2} { ! relation_like( X ), ilf_type( X,
% 1.33/1.70 binary_relation_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13613) {G1,W12,D4,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 1.33/1.70 ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type( power_set( X )
% 1.33/1.70 ) ) }.
% 1.33/1.70 parent0[0]: (17) {G0,W15,D4,L4,V2,M4} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Y, subset_type( X ) ), ilf_type( Y,
% 1.33/1.70 member_type( power_set( X ) ) ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13615) {G1,W9,D4,L2,V2,M2} { ! ilf_type( X, subset_type( Y )
% 1.33/1.70 ), ilf_type( X, member_type( power_set( Y ) ) ) }.
% 1.33/1.70 parent0[0]: (13613) {G1,W12,D4,L3,V2,M3} { ! ilf_type( Y, set_type ), !
% 1.33/1.70 ilf_type( Y, subset_type( X ) ), ilf_type( Y, member_type( power_set( X )
% 1.33/1.70 ) ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Y
% 1.33/1.70 Y := X
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (132) {G1,W9,D4,L2,V2,M2} S(17);r(47);r(47) { ! ilf_type( Y,
% 1.33/1.70 subset_type( X ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 1.33/1.70 parent0: (13615) {G1,W9,D4,L2,V2,M2} { ! ilf_type( X, subset_type( Y ) ),
% 1.33/1.70 ilf_type( X, member_type( power_set( Y ) ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Y
% 1.33/1.70 Y := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13633) {G1,W14,D3,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 1.33/1.70 member( X, power_set( Y ) ), ! ilf_type( Z, set_type ), alpha1( X, Y, Z )
% 1.33/1.70 }.
% 1.33/1.70 parent0[0]: (20) {G0,W17,D3,L5,V3,M5} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! member( X, power_set( Y ) ), ! ilf_type( Z,
% 1.33/1.70 set_type ), alpha1( X, Y, Z ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13640) {G1,W11,D3,L3,V3,M3} { ! member( Y, power_set( X ) ),
% 1.33/1.70 ! ilf_type( Z, set_type ), alpha1( Y, X, Z ) }.
% 1.33/1.70 parent0[0]: (13633) {G1,W14,D3,L4,V3,M4} { ! ilf_type( Y, set_type ), !
% 1.33/1.70 member( X, power_set( Y ) ), ! ilf_type( Z, set_type ), alpha1( X, Y, Z )
% 1.33/1.70 }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Y
% 1.33/1.70 Y := X
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13642) {G1,W8,D3,L2,V3,M2} { ! member( X, power_set( Y ) ),
% 1.33/1.70 alpha1( X, Y, Z ) }.
% 1.33/1.70 parent0[1]: (13640) {G1,W11,D3,L3,V3,M3} { ! member( Y, power_set( X ) ),
% 1.33/1.70 ! ilf_type( Z, set_type ), alpha1( Y, X, Z ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Y
% 1.33/1.70 Y := X
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := Z
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (160) {G1,W8,D3,L2,V3,M2} S(20);r(47);r(47);r(47) { ! member(
% 1.33/1.70 X, power_set( Y ) ), alpha1( X, Y, Z ) }.
% 1.33/1.70 parent0: (13642) {G1,W8,D3,L2,V3,M2} { ! member( X, power_set( Y ) ),
% 1.33/1.70 alpha1( X, Y, Z ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13643) {G1,W11,D3,L3,V2,M3} { ! alpha1( X, Y, skol4( X ) ),
% 1.33/1.70 member( skol4( X ), Y ), empty( X ) }.
% 1.33/1.70 parent0[1]: (23) {G0,W10,D2,L3,V3,M3} I { ! alpha1( X, Y, Z ), ! member( Z
% 1.33/1.70 , X ), member( Z, Y ) }.
% 1.33/1.70 parent1[0]: (106) {G1,W6,D3,L2,V1,M2} S(10);r(47) { member( skol4( X ), X )
% 1.33/1.70 , empty( X ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := skol4( X )
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (200) {G2,W11,D3,L3,V2,M3} R(23,106) { ! alpha1( X, Y, skol4(
% 1.33/1.70 X ) ), member( skol4( X ), Y ), empty( X ) }.
% 1.33/1.70 parent0: (13643) {G1,W11,D3,L3,V2,M3} { ! alpha1( X, Y, skol4( X ) ),
% 1.33/1.70 member( skol4( X ), Y ), empty( X ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 2 ==> 2
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13646) {G1,W11,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.33/1.70 ilf_type( Z, subset_type( cross_product( X, Y ) ) ), relation_like( Z )
% 1.33/1.70 }.
% 1.33/1.70 parent0[0]: (41) {G0,W14,D4,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, subset_type( cross_product( X, Y
% 1.33/1.70 ) ) ), relation_like( Z ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13648) {G1,W8,D4,L2,V3,M2} { ! ilf_type( Y, subset_type(
% 1.33/1.70 cross_product( Z, X ) ) ), relation_like( Y ) }.
% 1.33/1.70 parent0[0]: (13646) {G1,W11,D4,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.33/1.70 ilf_type( Z, subset_type( cross_product( X, Y ) ) ), relation_like( Z )
% 1.33/1.70 }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Z
% 1.33/1.70 Y := X
% 1.33/1.70 Z := Y
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (315) {G1,W8,D4,L2,V3,M2} S(41);r(47);r(47) { ! ilf_type( Z,
% 1.33/1.70 subset_type( cross_product( X, Y ) ) ), relation_like( Z ) }.
% 1.33/1.70 parent0: (13648) {G1,W8,D4,L2,V3,M2} { ! ilf_type( Y, subset_type(
% 1.33/1.70 cross_product( Z, X ) ) ), relation_like( Y ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Y
% 1.33/1.70 Y := Z
% 1.33/1.70 Z := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13653) {G1,W15,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.33/1.70 ilf_type( Z, relation_type( X, Y ) ), domain( X, Y, Z ) ==> domain_of( Z
% 1.33/1.70 ) }.
% 1.33/1.70 parent0[0]: (43) {G0,W18,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), domain(
% 1.33/1.70 X, Y, Z ) ==> domain_of( Z ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13655) {G1,W12,D3,L2,V3,M2} { ! ilf_type( Y, relation_type( Z
% 1.33/1.70 , X ) ), domain( Z, X, Y ) ==> domain_of( Y ) }.
% 1.33/1.70 parent0[0]: (13653) {G1,W15,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.33/1.70 ilf_type( Z, relation_type( X, Y ) ), domain( X, Y, Z ) ==> domain_of( Z
% 1.33/1.70 ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Z
% 1.33/1.70 Y := X
% 1.33/1.70 Z := Y
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (351) {G1,W12,D3,L2,V3,M2} S(43);r(47);r(47) { ! ilf_type( Z,
% 1.33/1.70 relation_type( X, Y ) ), domain( X, Y, Z ) ==> domain_of( Z ) }.
% 1.33/1.70 parent0: (13655) {G1,W12,D3,L2,V3,M2} { ! ilf_type( Y, relation_type( Z, X
% 1.33/1.70 ) ), domain( Z, X, Y ) ==> domain_of( Y ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Y
% 1.33/1.70 Y := Z
% 1.33/1.70 Z := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13661) {G1,W15,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.33/1.70 ilf_type( Z, relation_type( X, Y ) ), range( X, Y, Z ) ==> range_of( Z )
% 1.33/1.70 }.
% 1.33/1.70 parent0[0]: (45) {G0,W18,D3,L4,V3,M4} I { ! ilf_type( X, set_type ), !
% 1.33/1.70 ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ), range( X
% 1.33/1.70 , Y, Z ) ==> range_of( Z ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13663) {G1,W12,D3,L2,V3,M2} { ! ilf_type( Y, relation_type( Z
% 1.33/1.70 , X ) ), range( Z, X, Y ) ==> range_of( Y ) }.
% 1.33/1.70 parent0[0]: (13661) {G1,W15,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.33/1.70 ilf_type( Z, relation_type( X, Y ) ), range( X, Y, Z ) ==> range_of( Z )
% 1.33/1.70 }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Z
% 1.33/1.70 Y := X
% 1.33/1.70 Z := Y
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (373) {G1,W12,D3,L2,V3,M2} S(45);r(47);r(47) { ! ilf_type( Z,
% 1.33/1.70 relation_type( X, Y ) ), range( X, Y, Z ) ==> range_of( Z ) }.
% 1.33/1.70 parent0: (13663) {G1,W12,D3,L2,V3,M2} { ! ilf_type( Y, relation_type( Z, X
% 1.33/1.70 ) ), range( Z, X, Y ) ==> range_of( Y ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Y
% 1.33/1.70 Y := Z
% 1.33/1.70 Z := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13667) {G1,W13,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.33/1.70 ilf_type( Z, relation_type( X, Y ) ), ilf_type( range_of( Z ),
% 1.33/1.70 subset_type( Y ) ) }.
% 1.33/1.70 parent0[0]: (46) {G1,W16,D3,L4,V3,M4} I;d(45) { ! ilf_type( X, set_type ),
% 1.33/1.70 ! ilf_type( Y, set_type ), ! ilf_type( Z, relation_type( X, Y ) ),
% 1.33/1.70 ilf_type( range_of( Z ), subset_type( Y ) ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13669) {G1,W10,D3,L2,V3,M2} { ! ilf_type( Y, relation_type( Z
% 1.33/1.70 , X ) ), ilf_type( range_of( Y ), subset_type( X ) ) }.
% 1.33/1.70 parent0[0]: (13667) {G1,W13,D3,L3,V3,M3} { ! ilf_type( Y, set_type ), !
% 1.33/1.70 ilf_type( Z, relation_type( X, Y ) ), ilf_type( range_of( Z ),
% 1.33/1.70 subset_type( Y ) ) }.
% 1.33/1.70 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { ilf_type( X, set_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Z
% 1.33/1.70 Y := X
% 1.33/1.70 Z := Y
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (380) {G2,W10,D3,L2,V3,M2} S(46);r(47);r(47) { ! ilf_type( Z,
% 1.33/1.70 relation_type( X, Y ) ), ilf_type( range_of( Z ), subset_type( Y ) ) }.
% 1.33/1.70 parent0: (13669) {G1,W10,D3,L2,V3,M2} { ! ilf_type( Y, relation_type( Z, X
% 1.33/1.70 ) ), ilf_type( range_of( Y ), subset_type( X ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Y
% 1.33/1.70 Y := Z
% 1.33/1.70 Z := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13670) {G1,W6,D4,L1,V0,M1} { ilf_type( skol13, subset_type(
% 1.33/1.70 cross_product( skol11, skol12 ) ) ) }.
% 1.33/1.70 parent0[0]: (77) {G1,W11,D4,L2,V3,M2} S(3);r(47);r(47) { ! ilf_type( Z,
% 1.33/1.70 relation_type( X, Y ) ), ilf_type( Z, subset_type( cross_product( X, Y )
% 1.33/1.70 ) ) }.
% 1.33/1.70 parent1[0]: (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type(
% 1.33/1.70 skol11, skol12 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := skol11
% 1.33/1.70 Y := skol12
% 1.33/1.70 Z := skol13
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (941) {G2,W6,D4,L1,V0,M1} R(77,50) { ilf_type( skol13,
% 1.33/1.70 subset_type( cross_product( skol11, skol12 ) ) ) }.
% 1.33/1.70 parent0: (13670) {G1,W6,D4,L1,V0,M1} { ilf_type( skol13, subset_type(
% 1.33/1.70 cross_product( skol11, skol12 ) ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13671) {G2,W2,D2,L1,V0,M1} { relation_like( skol13 ) }.
% 1.33/1.70 parent0[0]: (315) {G1,W8,D4,L2,V3,M2} S(41);r(47);r(47) { ! ilf_type( Z,
% 1.33/1.70 subset_type( cross_product( X, Y ) ) ), relation_like( Z ) }.
% 1.33/1.70 parent1[0]: (941) {G2,W6,D4,L1,V0,M1} R(77,50) { ilf_type( skol13,
% 1.33/1.70 subset_type( cross_product( skol11, skol12 ) ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := skol11
% 1.33/1.70 Y := skol12
% 1.33/1.70 Z := skol13
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (942) {G3,W2,D2,L1,V0,M1} R(941,315) { relation_like( skol13 )
% 1.33/1.70 }.
% 1.33/1.70 parent0: (13671) {G2,W2,D2,L1,V0,M1} { relation_like( skol13 ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13672) {G2,W3,D2,L1,V0,M1} { ilf_type( skol13,
% 1.33/1.70 binary_relation_type ) }.
% 1.33/1.70 parent0[0]: (125) {G1,W5,D2,L2,V1,M2} S(15);r(47) { ! relation_like( X ),
% 1.33/1.70 ilf_type( X, binary_relation_type ) }.
% 1.33/1.70 parent1[0]: (942) {G3,W2,D2,L1,V0,M1} R(941,315) { relation_like( skol13 )
% 1.33/1.70 }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := skol13
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (951) {G4,W3,D2,L1,V0,M1} R(942,125) { ilf_type( skol13,
% 1.33/1.70 binary_relation_type ) }.
% 1.33/1.70 parent0: (13672) {G2,W3,D2,L1,V0,M1} { ilf_type( skol13,
% 1.33/1.70 binary_relation_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13673) {G2,W10,D3,L3,V3,M3} { ! member( Y, X ), ! member( Z,
% 1.33/1.70 X ), ilf_type( Z, member_type( X ) ) }.
% 1.33/1.70 parent0[0]: (94) {G1,W5,D2,L2,V2,M2} S(8);r(47);r(47) { ! empty( X ), !
% 1.33/1.70 member( Y, X ) }.
% 1.33/1.70 parent1[0]: (86) {G1,W9,D3,L3,V2,M3} S(6);r(47);r(47) { empty( Y ), !
% 1.33/1.70 member( X, Y ), ilf_type( X, member_type( Y ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := Z
% 1.33/1.70 Y := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (1049) {G2,W10,D3,L3,V3,M3} R(86,94) { ! member( X, Y ),
% 1.33/1.70 ilf_type( X, member_type( Y ) ), ! member( Z, Y ) }.
% 1.33/1.70 parent0: (13673) {G2,W10,D3,L3,V3,M3} { ! member( Y, X ), ! member( Z, X )
% 1.33/1.70 , ilf_type( Z, member_type( X ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := Y
% 1.33/1.70 Y := X
% 1.33/1.70 Z := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 0
% 1.33/1.70 2 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 factor: (13675) {G2,W7,D3,L2,V2,M2} { ! member( X, Y ), ilf_type( X,
% 1.33/1.70 member_type( Y ) ) }.
% 1.33/1.70 parent0[0, 2]: (1049) {G2,W10,D3,L3,V3,M3} R(86,94) { ! member( X, Y ),
% 1.33/1.70 ilf_type( X, member_type( Y ) ), ! member( Z, Y ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := X
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (1057) {G3,W7,D3,L2,V2,M2} F(1049) { ! member( X, Y ),
% 1.33/1.70 ilf_type( X, member_type( Y ) ) }.
% 1.33/1.70 parent0: (13675) {G2,W7,D3,L2,V2,M2} { ! member( X, Y ), ilf_type( X,
% 1.33/1.70 member_type( Y ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 1 ==> 1
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 paramod: (13677) {G1,W9,D3,L2,V0,M2} { member( skol14, domain_of( skol13 )
% 1.33/1.70 ), ! ilf_type( skol13, relation_type( skol11, skol12 ) ) }.
% 1.33/1.70 parent0[1]: (351) {G1,W12,D3,L2,V3,M2} S(43);r(47);r(47) { ! ilf_type( Z,
% 1.33/1.70 relation_type( X, Y ) ), domain( X, Y, Z ) ==> domain_of( Z ) }.
% 1.33/1.70 parent1[0; 2]: (52) {G0,W6,D3,L1,V0,M1} I { member( skol14, domain( skol11
% 1.33/1.70 , skol12, skol13 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := skol11
% 1.33/1.70 Y := skol12
% 1.33/1.70 Z := skol13
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13678) {G1,W4,D3,L1,V0,M1} { member( skol14, domain_of(
% 1.33/1.70 skol13 ) ) }.
% 1.33/1.70 parent0[1]: (13677) {G1,W9,D3,L2,V0,M2} { member( skol14, domain_of(
% 1.33/1.70 skol13 ) ), ! ilf_type( skol13, relation_type( skol11, skol12 ) ) }.
% 1.33/1.70 parent1[0]: (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type(
% 1.33/1.70 skol11, skol12 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (11068) {G2,W4,D3,L1,V0,M1} P(351,52);r(50) { member( skol14,
% 1.33/1.70 domain_of( skol13 ) ) }.
% 1.33/1.70 parent0: (13678) {G1,W4,D3,L1,V0,M1} { member( skol14, domain_of( skol13 )
% 1.33/1.70 ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13679) {G2,W8,D3,L2,V0,M2} { ! ilf_type( skol13,
% 1.33/1.70 binary_relation_type ), member( skol1( skol13 ), range_of( skol13 ) ) }.
% 1.33/1.70 parent0[1]: (73) {G1,W12,D3,L3,V2,M3} S(1);r(47) { ! ilf_type( Y,
% 1.33/1.70 binary_relation_type ), ! member( X, domain_of( Y ) ), member( skol1( Y )
% 1.33/1.70 , range_of( Y ) ) }.
% 1.33/1.70 parent1[0]: (11068) {G2,W4,D3,L1,V0,M1} P(351,52);r(50) { member( skol14,
% 1.33/1.70 domain_of( skol13 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := skol14
% 1.33/1.70 Y := skol13
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13680) {G3,W5,D3,L1,V0,M1} { member( skol1( skol13 ),
% 1.33/1.70 range_of( skol13 ) ) }.
% 1.33/1.70 parent0[0]: (13679) {G2,W8,D3,L2,V0,M2} { ! ilf_type( skol13,
% 1.33/1.70 binary_relation_type ), member( skol1( skol13 ), range_of( skol13 ) ) }.
% 1.33/1.70 parent1[0]: (951) {G4,W3,D2,L1,V0,M1} R(942,125) { ilf_type( skol13,
% 1.33/1.70 binary_relation_type ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (11101) {G5,W5,D3,L1,V0,M1} R(11068,73);r(951) { member( skol1
% 1.33/1.70 ( skol13 ), range_of( skol13 ) ) }.
% 1.33/1.70 parent0: (13680) {G3,W5,D3,L1,V0,M1} { member( skol1( skol13 ), range_of(
% 1.33/1.70 skol13 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13681) {G3,W6,D4,L1,V0,M1} { member( skol4( range_of( skol13
% 1.33/1.70 ) ), range_of( skol13 ) ) }.
% 1.33/1.70 parent0[1]: (110) {G2,W7,D3,L2,V2,M2} R(106,94) { member( skol4( X ), X ),
% 1.33/1.70 ! member( Y, X ) }.
% 1.33/1.70 parent1[0]: (11101) {G5,W5,D3,L1,V0,M1} R(11068,73);r(951) { member( skol1
% 1.33/1.70 ( skol13 ), range_of( skol13 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := range_of( skol13 )
% 1.33/1.70 Y := skol1( skol13 )
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (11139) {G6,W6,D4,L1,V0,M1} R(11101,110) { member( skol4(
% 1.33/1.70 range_of( skol13 ) ), range_of( skol13 ) ) }.
% 1.33/1.70 parent0: (13681) {G3,W6,D4,L1,V0,M1} { member( skol4( range_of( skol13 ) )
% 1.33/1.70 , range_of( skol13 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13682) {G2,W3,D3,L1,V0,M1} { ! empty( range_of( skol13 ) )
% 1.33/1.70 }.
% 1.33/1.70 parent0[1]: (94) {G1,W5,D2,L2,V2,M2} S(8);r(47);r(47) { ! empty( X ), !
% 1.33/1.70 member( Y, X ) }.
% 1.33/1.70 parent1[0]: (11101) {G5,W5,D3,L1,V0,M1} R(11068,73);r(951) { member( skol1
% 1.33/1.70 ( skol13 ), range_of( skol13 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := range_of( skol13 )
% 1.33/1.70 Y := skol1( skol13 )
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (11140) {G6,W3,D3,L1,V0,M1} R(11101,94) { ! empty( range_of(
% 1.33/1.70 skol13 ) ) }.
% 1.33/1.70 parent0: (13682) {G2,W3,D3,L1,V0,M1} { ! empty( range_of( skol13 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 eqswap: (13683) {G1,W12,D3,L2,V3,M2} { range_of( Z ) ==> range( X, Y, Z )
% 1.33/1.70 , ! ilf_type( Z, relation_type( X, Y ) ) }.
% 1.33/1.70 parent0[1]: (373) {G1,W12,D3,L2,V3,M2} S(45);r(47);r(47) { ! ilf_type( Z,
% 1.33/1.70 relation_type( X, Y ) ), range( X, Y, Z ) ==> range_of( Z ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 Y := Y
% 1.33/1.70 Z := Z
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13684) {G1,W7,D3,L1,V0,M1} { range_of( skol13 ) ==> range(
% 1.33/1.70 skol11, skol12, skol13 ) }.
% 1.33/1.70 parent0[1]: (13683) {G1,W12,D3,L2,V3,M2} { range_of( Z ) ==> range( X, Y,
% 1.33/1.70 Z ), ! ilf_type( Z, relation_type( X, Y ) ) }.
% 1.33/1.70 parent1[0]: (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type(
% 1.33/1.70 skol11, skol12 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := skol11
% 1.33/1.70 Y := skol12
% 1.33/1.70 Z := skol13
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 eqswap: (13685) {G1,W7,D3,L1,V0,M1} { range( skol11, skol12, skol13 ) ==>
% 1.33/1.70 range_of( skol13 ) }.
% 1.33/1.70 parent0[0]: (13684) {G1,W7,D3,L1,V0,M1} { range_of( skol13 ) ==> range(
% 1.33/1.70 skol11, skol12, skol13 ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (12627) {G2,W7,D3,L1,V0,M1} R(373,50) { range( skol11, skol12
% 1.33/1.70 , skol13 ) ==> range_of( skol13 ) }.
% 1.33/1.70 parent0: (13685) {G1,W7,D3,L1,V0,M1} { range( skol11, skol12, skol13 ) ==>
% 1.33/1.70 range_of( skol13 ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13686) {G1,W5,D3,L1,V0,M1} { ilf_type( range_of( skol13 ),
% 1.33/1.70 subset_type( skol12 ) ) }.
% 1.33/1.70 parent0[0]: (380) {G2,W10,D3,L2,V3,M2} S(46);r(47);r(47) { ! ilf_type( Z,
% 1.33/1.70 relation_type( X, Y ) ), ilf_type( range_of( Z ), subset_type( Y ) ) }.
% 1.33/1.70 parent1[0]: (50) {G0,W5,D3,L1,V0,M1} I { ilf_type( skol13, relation_type(
% 1.33/1.70 skol11, skol12 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := skol11
% 1.33/1.70 Y := skol12
% 1.33/1.70 Z := skol13
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (13010) {G3,W5,D3,L1,V0,M1} R(380,50) { ilf_type( range_of(
% 1.33/1.70 skol13 ), subset_type( skol12 ) ) }.
% 1.33/1.70 parent0: (13686) {G1,W5,D3,L1,V0,M1} { ilf_type( range_of( skol13 ),
% 1.33/1.70 subset_type( skol12 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13687) {G2,W6,D4,L1,V0,M1} { ilf_type( range_of( skol13 ),
% 1.33/1.70 member_type( power_set( skol12 ) ) ) }.
% 1.33/1.70 parent0[0]: (132) {G1,W9,D4,L2,V2,M2} S(17);r(47);r(47) { ! ilf_type( Y,
% 1.33/1.70 subset_type( X ) ), ilf_type( Y, member_type( power_set( X ) ) ) }.
% 1.33/1.70 parent1[0]: (13010) {G3,W5,D3,L1,V0,M1} R(380,50) { ilf_type( range_of(
% 1.33/1.70 skol13 ), subset_type( skol12 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := skol12
% 1.33/1.70 Y := range_of( skol13 )
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (13011) {G4,W6,D4,L1,V0,M1} R(13010,132) { ilf_type( range_of
% 1.33/1.70 ( skol13 ), member_type( power_set( skol12 ) ) ) }.
% 1.33/1.70 parent0: (13687) {G2,W6,D4,L1,V0,M1} { ilf_type( range_of( skol13 ),
% 1.33/1.70 member_type( power_set( skol12 ) ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13688) {G2,W8,D3,L2,V0,M2} { empty( power_set( skol12 ) ),
% 1.33/1.70 member( range_of( skol13 ), power_set( skol12 ) ) }.
% 1.33/1.70 parent0[1]: (85) {G1,W9,D3,L3,V2,M3} S(5);r(47);r(47) { empty( Y ), !
% 1.33/1.70 ilf_type( X, member_type( Y ) ), member( X, Y ) }.
% 1.33/1.70 parent1[0]: (13011) {G4,W6,D4,L1,V0,M1} R(13010,132) { ilf_type( range_of(
% 1.33/1.70 skol13 ), member_type( power_set( skol12 ) ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := range_of( skol13 )
% 1.33/1.70 Y := power_set( skol12 )
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13689) {G2,W5,D3,L1,V0,M1} { member( range_of( skol13 ),
% 1.33/1.70 power_set( skol12 ) ) }.
% 1.33/1.70 parent0[0]: (76) {G1,W3,D3,L1,V1,M1} S(26);r(47) { ! empty( power_set( X )
% 1.33/1.70 ) }.
% 1.33/1.70 parent1[0]: (13688) {G2,W8,D3,L2,V0,M2} { empty( power_set( skol12 ) ),
% 1.33/1.70 member( range_of( skol13 ), power_set( skol12 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := skol12
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (13012) {G5,W5,D3,L1,V0,M1} R(13011,85);r(76) { member(
% 1.33/1.70 range_of( skol13 ), power_set( skol12 ) ) }.
% 1.33/1.70 parent0: (13689) {G2,W5,D3,L1,V0,M1} { member( range_of( skol13 ),
% 1.33/1.70 power_set( skol12 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13690) {G2,W5,D3,L1,V1,M1} { alpha1( range_of( skol13 ),
% 1.33/1.70 skol12, X ) }.
% 1.33/1.70 parent0[0]: (160) {G1,W8,D3,L2,V3,M2} S(20);r(47);r(47);r(47) { ! member( X
% 1.33/1.70 , power_set( Y ) ), alpha1( X, Y, Z ) }.
% 1.33/1.70 parent1[0]: (13012) {G5,W5,D3,L1,V0,M1} R(13011,85);r(76) { member(
% 1.33/1.70 range_of( skol13 ), power_set( skol12 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := range_of( skol13 )
% 1.33/1.70 Y := skol12
% 1.33/1.70 Z := X
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (13042) {G6,W5,D3,L1,V1,M1} R(13012,160) { alpha1( range_of(
% 1.33/1.70 skol13 ), skol12, X ) }.
% 1.33/1.70 parent0: (13690) {G2,W5,D3,L1,V1,M1} { alpha1( range_of( skol13 ), skol12
% 1.33/1.70 , X ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := X
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13691) {G3,W8,D4,L2,V0,M2} { member( skol4( range_of( skol13
% 1.33/1.70 ) ), skol12 ), empty( range_of( skol13 ) ) }.
% 1.33/1.70 parent0[0]: (200) {G2,W11,D3,L3,V2,M3} R(23,106) { ! alpha1( X, Y, skol4( X
% 1.33/1.70 ) ), member( skol4( X ), Y ), empty( X ) }.
% 1.33/1.70 parent1[0]: (13042) {G6,W5,D3,L1,V1,M1} R(13012,160) { alpha1( range_of(
% 1.33/1.70 skol13 ), skol12, X ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := range_of( skol13 )
% 1.33/1.70 Y := skol12
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 X := skol4( range_of( skol13 ) )
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13692) {G4,W5,D4,L1,V0,M1} { member( skol4( range_of( skol13
% 1.33/1.70 ) ), skol12 ) }.
% 1.33/1.70 parent0[0]: (11140) {G6,W3,D3,L1,V0,M1} R(11101,94) { ! empty( range_of(
% 1.33/1.70 skol13 ) ) }.
% 1.33/1.70 parent1[1]: (13691) {G3,W8,D4,L2,V0,M2} { member( skol4( range_of( skol13
% 1.33/1.70 ) ), skol12 ), empty( range_of( skol13 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (13053) {G7,W5,D4,L1,V0,M1} R(13042,200);r(11140) { member(
% 1.33/1.70 skol4( range_of( skol13 ) ), skol12 ) }.
% 1.33/1.70 parent0: (13692) {G4,W5,D4,L1,V0,M1} { member( skol4( range_of( skol13 ) )
% 1.33/1.70 , skol12 ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13693) {G4,W6,D4,L1,V0,M1} { ilf_type( skol4( range_of(
% 1.33/1.70 skol13 ) ), member_type( skol12 ) ) }.
% 1.33/1.70 parent0[0]: (1057) {G3,W7,D3,L2,V2,M2} F(1049) { ! member( X, Y ), ilf_type
% 1.33/1.70 ( X, member_type( Y ) ) }.
% 1.33/1.70 parent1[0]: (13053) {G7,W5,D4,L1,V0,M1} R(13042,200);r(11140) { member(
% 1.33/1.70 skol4( range_of( skol13 ) ), skol12 ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := skol4( range_of( skol13 ) )
% 1.33/1.70 Y := skol12
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (13084) {G8,W6,D4,L1,V0,M1} R(13053,1057) { ilf_type( skol4(
% 1.33/1.70 range_of( skol13 ) ), member_type( skol12 ) ) }.
% 1.33/1.70 parent0: (13693) {G4,W6,D4,L1,V0,M1} { ilf_type( skol4( range_of( skol13 )
% 1.33/1.70 ), member_type( skol12 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 0 ==> 0
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13695) {G1,W8,D4,L1,V0,M1} { ! member( skol4( range_of(
% 1.33/1.70 skol13 ) ), range( skol11, skol12, skol13 ) ) }.
% 1.33/1.70 parent0[0]: (53) {G0,W10,D3,L2,V1,M2} I { ! ilf_type( X, member_type(
% 1.33/1.70 skol12 ) ), ! member( X, range( skol11, skol12, skol13 ) ) }.
% 1.33/1.70 parent1[0]: (13084) {G8,W6,D4,L1,V0,M1} R(13053,1057) { ilf_type( skol4(
% 1.33/1.70 range_of( skol13 ) ), member_type( skol12 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 X := skol4( range_of( skol13 ) )
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 paramod: (13696) {G2,W6,D4,L1,V0,M1} { ! member( skol4( range_of( skol13 )
% 1.33/1.70 ), range_of( skol13 ) ) }.
% 1.33/1.70 parent0[0]: (12627) {G2,W7,D3,L1,V0,M1} R(373,50) { range( skol11, skol12,
% 1.33/1.70 skol13 ) ==> range_of( skol13 ) }.
% 1.33/1.70 parent1[0; 5]: (13695) {G1,W8,D4,L1,V0,M1} { ! member( skol4( range_of(
% 1.33/1.70 skol13 ) ), range( skol11, skol12, skol13 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 resolution: (13697) {G3,W0,D0,L0,V0,M0} { }.
% 1.33/1.70 parent0[0]: (13696) {G2,W6,D4,L1,V0,M1} { ! member( skol4( range_of(
% 1.33/1.70 skol13 ) ), range_of( skol13 ) ) }.
% 1.33/1.70 parent1[0]: (11139) {G6,W6,D4,L1,V0,M1} R(11101,110) { member( skol4(
% 1.33/1.70 range_of( skol13 ) ), range_of( skol13 ) ) }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 substitution1:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 subsumption: (13133) {G9,W0,D0,L0,V0,M0} R(13084,53);d(12627);r(11139) {
% 1.33/1.70 }.
% 1.33/1.70 parent0: (13697) {G3,W0,D0,L0,V0,M0} { }.
% 1.33/1.70 substitution0:
% 1.33/1.70 end
% 1.33/1.70 permutation0:
% 1.33/1.70 end
% 1.33/1.70
% 1.33/1.70 Proof check complete!
% 1.33/1.70
% 1.33/1.70 Memory use:
% 1.33/1.70
% 1.33/1.70 space for terms: 151663
% 1.33/1.70 space for clauses: 559053
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 clauses generated: 31830
% 1.33/1.70 clauses kept: 13134
% 1.33/1.70 clauses selected: 890
% 1.33/1.70 clauses deleted: 175
% 1.33/1.70 clauses inuse deleted: 38
% 1.33/1.70
% 1.33/1.70 subsentry: 74184
% 1.33/1.70 literals s-matched: 58824
% 1.33/1.70 literals matched: 56179
% 1.33/1.70 full subsumption: 3252
% 1.33/1.70
% 1.33/1.70 checksum: 1161163417
% 1.33/1.70
% 1.33/1.70
% 1.33/1.70 Bliksem ended
%------------------------------------------------------------------------------