TSTP Solution File: SEU235+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU235+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 : Tue Jul 19 07:11:44 EDT 2022
% Result : Theorem 80.91s 81.26s
% Output : Refutation 80.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU235+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.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 : Sun Jun 19 02:42:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.74/2.09 *** allocated 10000 integers for termspace/termends
% 1.74/2.09 *** allocated 10000 integers for clauses
% 1.74/2.09 *** allocated 10000 integers for justifications
% 1.74/2.09 Bliksem 1.12
% 1.74/2.09
% 1.74/2.09
% 1.74/2.09 Automatic Strategy Selection
% 1.74/2.09
% 1.74/2.09
% 1.74/2.09 Clauses:
% 1.74/2.09
% 1.74/2.09 { ! in( X, Y ), ! in( Y, X ) }.
% 1.74/2.09 { ! empty( X ), function( X ) }.
% 1.74/2.09 { ! ordinal( X ), epsilon_transitive( X ) }.
% 1.74/2.09 { ! ordinal( X ), epsilon_connected( X ) }.
% 1.74/2.09 { ! empty( X ), relation( X ) }.
% 1.74/2.09 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 1.74/2.09 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 1.74/2.09 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 1.74/2.09 { ! epsilon_transitive( X ), ! epsilon_connected( X ), ordinal( X ) }.
% 1.74/2.09 { ! empty( X ), epsilon_transitive( X ) }.
% 1.74/2.09 { ! empty( X ), epsilon_connected( X ) }.
% 1.74/2.09 { ! empty( X ), ordinal( X ) }.
% 1.74/2.09 { ! ordinal( X ), ! ordinal( Y ), ordinal_subset( X, Y ), ordinal_subset( Y
% 1.74/2.09 , X ) }.
% 1.74/2.09 { ! epsilon_transitive( X ), ! in( Y, X ), subset( Y, X ) }.
% 1.74/2.09 { in( skol1( X ), X ), epsilon_transitive( X ) }.
% 1.74/2.09 { ! subset( skol1( X ), X ), epsilon_transitive( X ) }.
% 1.74/2.09 { && }.
% 1.74/2.09 { && }.
% 1.74/2.09 { && }.
% 1.74/2.09 { element( skol2( X ), X ) }.
% 1.74/2.09 { empty( empty_set ) }.
% 1.74/2.09 { relation( empty_set ) }.
% 1.74/2.09 { relation_empty_yielding( empty_set ) }.
% 1.74/2.09 { empty( empty_set ) }.
% 1.74/2.09 { relation( empty_set ) }.
% 1.74/2.09 { relation_empty_yielding( empty_set ) }.
% 1.74/2.09 { function( empty_set ) }.
% 1.74/2.09 { one_to_one( empty_set ) }.
% 1.74/2.09 { empty( empty_set ) }.
% 1.74/2.09 { epsilon_transitive( empty_set ) }.
% 1.74/2.09 { epsilon_connected( empty_set ) }.
% 1.74/2.09 { ordinal( empty_set ) }.
% 1.74/2.09 { empty( empty_set ) }.
% 1.74/2.09 { relation( empty_set ) }.
% 1.74/2.09 { relation( skol3 ) }.
% 1.74/2.09 { function( skol3 ) }.
% 1.74/2.09 { epsilon_transitive( skol4 ) }.
% 1.74/2.09 { epsilon_connected( skol4 ) }.
% 1.74/2.09 { ordinal( skol4 ) }.
% 1.74/2.09 { empty( skol5 ) }.
% 1.74/2.09 { relation( skol5 ) }.
% 1.74/2.09 { empty( skol6 ) }.
% 1.74/2.09 { relation( skol7 ) }.
% 1.74/2.09 { empty( skol7 ) }.
% 1.74/2.09 { function( skol7 ) }.
% 1.74/2.09 { relation( skol8 ) }.
% 1.74/2.09 { function( skol8 ) }.
% 1.74/2.09 { one_to_one( skol8 ) }.
% 1.74/2.09 { empty( skol8 ) }.
% 1.74/2.09 { epsilon_transitive( skol8 ) }.
% 1.74/2.09 { epsilon_connected( skol8 ) }.
% 1.74/2.09 { ordinal( skol8 ) }.
% 1.74/2.09 { ! empty( skol9 ) }.
% 1.74/2.09 { relation( skol9 ) }.
% 1.74/2.09 { ! empty( skol10 ) }.
% 1.74/2.09 { relation( skol11 ) }.
% 1.74/2.09 { function( skol11 ) }.
% 1.74/2.09 { one_to_one( skol11 ) }.
% 1.74/2.09 { ! empty( skol12 ) }.
% 1.74/2.09 { epsilon_transitive( skol12 ) }.
% 1.74/2.09 { epsilon_connected( skol12 ) }.
% 1.74/2.09 { ordinal( skol12 ) }.
% 1.74/2.09 { relation( skol13 ) }.
% 1.74/2.09 { relation_empty_yielding( skol13 ) }.
% 1.74/2.09 { relation( skol14 ) }.
% 1.74/2.09 { relation_empty_yielding( skol14 ) }.
% 1.74/2.09 { function( skol14 ) }.
% 1.74/2.09 { ! ordinal( X ), ! ordinal( Y ), ! ordinal_subset( X, Y ), subset( X, Y )
% 1.74/2.09 }.
% 1.74/2.09 { ! ordinal( X ), ! ordinal( Y ), ! subset( X, Y ), ordinal_subset( X, Y )
% 1.74/2.09 }.
% 1.74/2.09 { ! ordinal( X ), ! ordinal( Y ), ordinal_subset( X, X ) }.
% 1.74/2.09 { subset( X, X ) }.
% 1.74/2.09 { ! in( X, Y ), element( X, Y ) }.
% 1.74/2.09 { ! ordinal( X ), ! in( Y, X ), ordinal( Y ) }.
% 1.74/2.09 { ! ordinal( X ), ! ordinal( Y ), in( X, Y ), X = Y, in( Y, X ) }.
% 1.74/2.09 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 1.74/2.09 { ordinal( skol15 ) }.
% 1.74/2.09 { subset( skol17, skol15 ) }.
% 1.74/2.09 { ! skol17 = empty_set }.
% 1.74/2.09 { ! ordinal( X ), ! in( X, skol17 ), ordinal( skol18( Y ) ) }.
% 1.74/2.09 { ! ordinal( X ), ! in( X, skol17 ), in( skol18( Y ), skol17 ) }.
% 1.74/2.09 { ! ordinal( X ), ! in( X, skol17 ), ! ordinal_subset( X, skol18( X ) ) }.
% 1.74/2.09 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 1.74/2.09 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 1.74/2.09 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 1.74/2.09 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 1.74/2.09 { ! empty( X ), X = empty_set }.
% 1.74/2.09 { ! in( X, Y ), ! empty( Y ) }.
% 1.74/2.09 { ! in( X, Y ), in( skol16( Y ), Y ) }.
% 1.74/2.09 { ! in( X, Y ), ! in( Z, Y ), ! in( Z, skol16( Y ) ) }.
% 1.74/2.09 { ! empty( X ), X = Y, ! empty( Y ) }.
% 1.74/2.09
% 1.74/2.09 percentage equality = 0.029412, percentage horn = 0.950000
% 1.74/2.09 This is a problem with some equality
% 1.74/2.09
% 1.74/2.09
% 1.74/2.09
% 1.74/2.09 Options Used:
% 1.74/2.09
% 1.74/2.09 useres = 1
% 1.74/2.09 useparamod = 1
% 1.74/2.09 useeqrefl = 1
% 1.74/2.09 useeqfact = 1
% 1.74/2.09 usefactor = 1
% 1.74/2.09 usesimpsplitting = 0
% 1.74/2.09 usesimpdemod = 5
% 1.74/2.09 usesimpres = 3
% 1.74/2.09
% 1.74/2.09 resimpinuse = 1000
% 1.74/2.09 resimpclauses = 20000
% 1.74/2.09 substype = eqrewr
% 1.74/2.09 backwardsubs = 1
% 1.74/2.09 selectoldest = 5
% 1.74/2.09
% 1.74/2.09 litorderings [0] = split
% 1.74/2.09 litorderings [1] = extend the termordering, first sorting on arguments
% 1.74/2.09
% 1.74/2.09 termordering = kbo
% 1.74/2.09
% 1.74/2.09 litapriori = 0
% 1.74/2.09 termapriori = 1
% 1.74/2.09 litaposteriori = 0
% 23.13/23.54 termaposteriori = 0
% 23.13/23.54 demodaposteriori = 0
% 23.13/23.54 ordereqreflfact = 0
% 23.13/23.54
% 23.13/23.54 litselect = negord
% 23.13/23.54
% 23.13/23.54 maxweight = 15
% 23.13/23.54 maxdepth = 30000
% 23.13/23.54 maxlength = 115
% 23.13/23.54 maxnrvars = 195
% 23.13/23.54 excuselevel = 1
% 23.13/23.54 increasemaxweight = 1
% 23.13/23.54
% 23.13/23.54 maxselected = 10000000
% 23.13/23.54 maxnrclauses = 10000000
% 23.13/23.54
% 23.13/23.54 showgenerated = 0
% 23.13/23.54 showkept = 0
% 23.13/23.54 showselected = 0
% 23.13/23.54 showdeleted = 0
% 23.13/23.54 showresimp = 1
% 23.13/23.54 showstatus = 2000
% 23.13/23.54
% 23.13/23.54 prologoutput = 0
% 23.13/23.54 nrgoals = 5000000
% 23.13/23.54 totalproof = 1
% 23.13/23.54
% 23.13/23.54 Symbols occurring in the translation:
% 23.13/23.54
% 23.13/23.54 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 23.13/23.54 . [1, 2] (w:1, o:43, a:1, s:1, b:0),
% 23.13/23.54 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 23.13/23.54 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 23.13/23.54 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 23.13/23.54 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 23.13/23.54 in [37, 2] (w:1, o:67, a:1, s:1, b:0),
% 23.13/23.54 empty [38, 1] (w:1, o:30, a:1, s:1, b:0),
% 23.13/23.54 function [39, 1] (w:1, o:33, a:1, s:1, b:0),
% 23.13/23.54 ordinal [40, 1] (w:1, o:34, a:1, s:1, b:0),
% 23.13/23.54 epsilon_transitive [41, 1] (w:1, o:31, a:1, s:1, b:0),
% 23.13/23.54 epsilon_connected [42, 1] (w:1, o:32, a:1, s:1, b:0),
% 23.13/23.54 relation [43, 1] (w:1, o:35, a:1, s:1, b:0),
% 23.13/23.54 one_to_one [44, 1] (w:1, o:36, a:1, s:1, b:0),
% 23.13/23.54 ordinal_subset [45, 2] (w:1, o:68, a:1, s:1, b:0),
% 23.13/23.54 subset [46, 2] (w:1, o:69, a:1, s:1, b:0),
% 23.13/23.54 element [47, 2] (w:1, o:70, a:1, s:1, b:0),
% 23.13/23.54 empty_set [48, 0] (w:1, o:8, a:1, s:1, b:0),
% 23.13/23.54 relation_empty_yielding [49, 1] (w:1, o:37, a:1, s:1, b:0),
% 23.13/23.54 powerset [52, 1] (w:1, o:38, a:1, s:1, b:0),
% 23.13/23.54 skol1 [53, 1] (w:1, o:39, a:1, s:1, b:1),
% 23.13/23.54 skol2 [54, 1] (w:1, o:42, a:1, s:1, b:1),
% 23.13/23.54 skol3 [55, 0] (w:1, o:11, a:1, s:1, b:1),
% 23.13/23.54 skol4 [56, 0] (w:1, o:12, a:1, s:1, b:1),
% 23.13/23.54 skol5 [57, 0] (w:1, o:13, a:1, s:1, b:1),
% 23.13/23.54 skol6 [58, 0] (w:1, o:14, a:1, s:1, b:1),
% 23.13/23.54 skol7 [59, 0] (w:1, o:15, a:1, s:1, b:1),
% 23.13/23.54 skol8 [60, 0] (w:1, o:16, a:1, s:1, b:1),
% 23.13/23.54 skol9 [61, 0] (w:1, o:17, a:1, s:1, b:1),
% 23.13/23.54 skol10 [62, 0] (w:1, o:18, a:1, s:1, b:1),
% 23.13/23.54 skol11 [63, 0] (w:1, o:19, a:1, s:1, b:1),
% 23.13/23.54 skol12 [64, 0] (w:1, o:20, a:1, s:1, b:1),
% 23.13/23.54 skol13 [65, 0] (w:1, o:21, a:1, s:1, b:1),
% 23.13/23.54 skol14 [66, 0] (w:1, o:22, a:1, s:1, b:1),
% 23.13/23.54 skol15 [67, 0] (w:1, o:23, a:1, s:1, b:1),
% 23.13/23.54 skol16 [68, 1] (w:1, o:40, a:1, s:1, b:1),
% 23.13/23.54 skol17 [69, 0] (w:1, o:24, a:1, s:1, b:1),
% 23.13/23.54 skol18 [70, 1] (w:1, o:41, a:1, s:1, b:1).
% 23.13/23.54
% 23.13/23.54
% 23.13/23.54 Starting Search:
% 23.13/23.54
% 23.13/23.54 *** allocated 15000 integers for clauses
% 23.13/23.54 *** allocated 22500 integers for clauses
% 23.13/23.54 *** allocated 33750 integers for clauses
% 23.13/23.54 *** allocated 50625 integers for clauses
% 23.13/23.54 *** allocated 15000 integers for termspace/termends
% 23.13/23.54 Resimplifying inuse:
% 23.13/23.54 Done
% 23.13/23.54
% 23.13/23.54 *** allocated 75937 integers for clauses
% 23.13/23.54 *** allocated 22500 integers for termspace/termends
% 23.13/23.54 *** allocated 113905 integers for clauses
% 23.13/23.54
% 23.13/23.54 Intermediate Status:
% 23.13/23.54 Generated: 6327
% 23.13/23.54 Kept: 2001
% 23.13/23.54 Inuse: 311
% 23.13/23.54 Deleted: 69
% 23.13/23.54 Deletedinuse: 43
% 23.13/23.54
% 23.13/23.54 Resimplifying inuse:
% 23.13/23.54 Done
% 23.13/23.54
% 23.13/23.54 *** allocated 33750 integers for termspace/termends
% 23.13/23.54 *** allocated 170857 integers for clauses
% 23.13/23.54 *** allocated 50625 integers for termspace/termends
% 23.13/23.54 Resimplifying inuse:
% 23.13/23.54 Done
% 23.13/23.54
% 23.13/23.54
% 23.13/23.54 Intermediate Status:
% 23.13/23.54 Generated: 17736
% 23.13/23.54 Kept: 4049
% 23.13/23.54 Inuse: 530
% 23.13/23.54 Deleted: 106
% 23.13/23.54 Deletedinuse: 60
% 23.13/23.54
% 23.13/23.54 Resimplifying inuse:
% 23.13/23.54 Done
% 23.13/23.54
% 23.13/23.54 *** allocated 256285 integers for clauses
% 23.13/23.54 *** allocated 75937 integers for termspace/termends
% 23.13/23.54 Resimplifying inuse:
% 23.13/23.54 Done
% 23.13/23.54
% 23.13/23.54 *** allocated 113905 integers for termspace/termends
% 23.13/23.54
% 23.13/23.54 Intermediate Status:
% 23.13/23.54 Generated: 28059
% 23.13/23.54 Kept: 6060
% 23.13/23.54 Inuse: 587
% 23.13/23.54 Deleted: 130
% 23.13/23.54 Deletedinuse: 76
% 23.13/23.54
% 23.13/23.54 *** allocated 384427 integers for clauses
% 23.13/23.54 Resimplifying inuse:
% 23.13/23.54 Done
% 23.13/23.54
% 23.13/23.54 Resimplifying inuse:
% 23.13/23.54 Done
% 23.13/23.54
% 23.13/23.54
% 23.13/23.54 Intermediate Status:
% 23.13/23.54 Generated: 37275
% 23.13/23.54 Kept: 8355
% 23.13/23.54 Inuse: 607
% 23.13/23.54 Deleted: 164
% 23.13/23.54 Deletedinuse: 110
% 23.13/23.54
% 23.13/23.54 *** allocated 170857 integers for termspace/termends
% 23.13/23.54 Resimplifying inuse:
% 23.13/23.54 Done
% 23.13/23.54
% 23.13/23.54 *** allocated 576640 integers for clauses
% 23.13/23.54 Resimplifying inuse:
% 23.13/23.54 Done
% 23.13/23.54
% 23.13/23.54
% 23.13/23.54 Intermediate Status:
% 23.13/23.54 Generated: 53275
% 23.13/23.54 Kept: 10368
% 23.13/23.54 Inuse: 689
% 23.13/23.54 Deleted: 202
% 23.13/23.54 Deletedinuse: 110
% 23.13/23.54
% 23.13/23.54 Resimplifying inuse:
% 23.13/23.54 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 62125
% 78.62/79.01 Kept: 12378
% 78.62/79.01 Inuse: 757
% 78.62/79.01 Deleted: 278
% 78.62/79.01 Deletedinuse: 126
% 78.62/79.01
% 78.62/79.01 *** allocated 256285 integers for termspace/termends
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 75039
% 78.62/79.01 Kept: 14398
% 78.62/79.01 Inuse: 788
% 78.62/79.01 Deleted: 304
% 78.62/79.01 Deletedinuse: 131
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 *** allocated 864960 integers for clauses
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 84249
% 78.62/79.01 Kept: 16419
% 78.62/79.01 Inuse: 844
% 78.62/79.01 Deleted: 329
% 78.62/79.01 Deletedinuse: 146
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 92042
% 78.62/79.01 Kept: 18466
% 78.62/79.01 Inuse: 881
% 78.62/79.01 Deleted: 329
% 78.62/79.01 Deletedinuse: 146
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 *** allocated 384427 integers for termspace/termends
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying clauses:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 102811
% 78.62/79.01 Kept: 21620
% 78.62/79.01 Inuse: 933
% 78.62/79.01 Deleted: 4815
% 78.62/79.01 Deletedinuse: 146
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 *** allocated 1297440 integers for clauses
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 114261
% 78.62/79.01 Kept: 23644
% 78.62/79.01 Inuse: 964
% 78.62/79.01 Deleted: 4817
% 78.62/79.01 Deletedinuse: 146
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 120548
% 78.62/79.01 Kept: 25654
% 78.62/79.01 Inuse: 997
% 78.62/79.01 Deleted: 4817
% 78.62/79.01 Deletedinuse: 146
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 133285
% 78.62/79.01 Kept: 27661
% 78.62/79.01 Inuse: 1025
% 78.62/79.01 Deleted: 4817
% 78.62/79.01 Deletedinuse: 146
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 *** allocated 576640 integers for termspace/termends
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 145335
% 78.62/79.01 Kept: 29683
% 78.62/79.01 Inuse: 1066
% 78.62/79.01 Deleted: 4817
% 78.62/79.01 Deletedinuse: 146
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 154377
% 78.62/79.01 Kept: 31688
% 78.62/79.01 Inuse: 1098
% 78.62/79.01 Deleted: 4819
% 78.62/79.01 Deletedinuse: 146
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 161827
% 78.62/79.01 Kept: 33805
% 78.62/79.01 Inuse: 1122
% 78.62/79.01 Deleted: 4841
% 78.62/79.01 Deletedinuse: 153
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 *** allocated 1946160 integers for clauses
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 171593
% 78.62/79.01 Kept: 35822
% 78.62/79.01 Inuse: 1172
% 78.62/79.01 Deleted: 4843
% 78.62/79.01 Deletedinuse: 155
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 185310
% 78.62/79.01 Kept: 38129
% 78.62/79.01 Inuse: 1207
% 78.62/79.01 Deleted: 4854
% 78.62/79.01 Deletedinuse: 166
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 193881
% 78.62/79.01 Kept: 40135
% 78.62/79.01 Inuse: 1234
% 78.62/79.01 Deleted: 4887
% 78.62/79.01 Deletedinuse: 172
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying clauses:
% 78.62/79.01 *** allocated 864960 integers for termspace/termends
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 209704
% 78.62/79.01 Kept: 43031
% 78.62/79.01 Inuse: 1269
% 78.62/79.01 Deleted: 11692
% 78.62/79.01 Deletedinuse: 205
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 223129
% 78.62/79.01 Kept: 45076
% 78.62/79.01 Inuse: 1308
% 78.62/79.01 Deleted: 11701
% 78.62/79.01 Deletedinuse: 214
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 241474
% 78.62/79.01 Kept: 47173
% 78.62/79.01 Inuse: 1343
% 78.62/79.01 Deleted: 11705
% 78.62/79.01 Deletedinuse: 218
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 250545
% 78.62/79.01 Kept: 49223
% 78.62/79.01 Inuse: 1376
% 78.62/79.01 Deleted: 11710
% 78.62/79.01 Deletedinuse: 218
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 261741
% 78.62/79.01 Kept: 51269
% 78.62/79.01 Inuse: 1397
% 78.62/79.01 Deleted: 11769
% 78.62/79.01 Deletedinuse: 235
% 78.62/79.01
% 78.62/79.01 *** allocated 2919240 integers for clauses
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 274715
% 78.62/79.01 Kept: 53288
% 78.62/79.01 Inuse: 1447
% 78.62/79.01 Deleted: 11773
% 78.62/79.01 Deletedinuse: 239
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 78.62/79.01 Generated: 286869
% 78.62/79.01 Kept: 55291
% 78.62/79.01 Inuse: 1493
% 78.62/79.01 Deleted: 11881
% 78.62/79.01 Deletedinuse: 339
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01 Resimplifying inuse:
% 78.62/79.01 Done
% 78.62/79.01
% 78.62/79.01
% 78.62/79.01 Intermediate Status:
% 80.91/81.25 Generated: 303310
% 80.91/81.25 Kept: 57375
% 80.91/81.25 Inuse: 1556
% 80.91/81.25 Deleted: 11883
% 80.91/81.25 Deletedinuse: 339
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25
% 80.91/81.25 Intermediate Status:
% 80.91/81.25 Generated: 312541
% 80.91/81.25 Kept: 59407
% 80.91/81.25 Inuse: 1594
% 80.91/81.25 Deleted: 11893
% 80.91/81.25 Deletedinuse: 349
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25
% 80.91/81.25 Intermediate Status:
% 80.91/81.25 Generated: 324709
% 80.91/81.25 Kept: 61437
% 80.91/81.25 Inuse: 1617
% 80.91/81.25 Deleted: 11914
% 80.91/81.25 Deletedinuse: 370
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25 *** allocated 1297440 integers for termspace/termends
% 80.91/81.25 Resimplifying clauses:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25
% 80.91/81.25 Intermediate Status:
% 80.91/81.25 Generated: 333597
% 80.91/81.25 Kept: 64783
% 80.91/81.25 Inuse: 1639
% 80.91/81.25 Deleted: 24830
% 80.91/81.25 Deletedinuse: 373
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25
% 80.91/81.25 Intermediate Status:
% 80.91/81.25 Generated: 345291
% 80.91/81.25 Kept: 66797
% 80.91/81.25 Inuse: 1689
% 80.91/81.25 Deleted: 24933
% 80.91/81.25 Deletedinuse: 476
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25
% 80.91/81.25 Intermediate Status:
% 80.91/81.25 Generated: 361421
% 80.91/81.25 Kept: 68806
% 80.91/81.25 Inuse: 1755
% 80.91/81.25 Deleted: 24992
% 80.91/81.25 Deletedinuse: 509
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25
% 80.91/81.25 Intermediate Status:
% 80.91/81.25 Generated: 377442
% 80.91/81.25 Kept: 70824
% 80.91/81.25 Inuse: 1790
% 80.91/81.25 Deleted: 25007
% 80.91/81.25 Deletedinuse: 515
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25
% 80.91/81.25 Intermediate Status:
% 80.91/81.25 Generated: 395204
% 80.91/81.25 Kept: 72824
% 80.91/81.25 Inuse: 1830
% 80.91/81.25 Deleted: 25017
% 80.91/81.25 Deletedinuse: 524
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25
% 80.91/81.25 Intermediate Status:
% 80.91/81.25 Generated: 414023
% 80.91/81.25 Kept: 75001
% 80.91/81.25 Inuse: 1891
% 80.91/81.25 Deleted: 25058
% 80.91/81.25 Deletedinuse: 531
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25
% 80.91/81.25 Intermediate Status:
% 80.91/81.25 Generated: 428325
% 80.91/81.25 Kept: 77011
% 80.91/81.25 Inuse: 1941
% 80.91/81.25 Deleted: 25075
% 80.91/81.25 Deletedinuse: 538
% 80.91/81.25
% 80.91/81.25 *** allocated 4378860 integers for clauses
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25
% 80.91/81.25 Intermediate Status:
% 80.91/81.25 Generated: 437378
% 80.91/81.25 Kept: 79185
% 80.91/81.25 Inuse: 1975
% 80.91/81.25 Deleted: 25084
% 80.91/81.25 Deletedinuse: 541
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25 Resimplifying inuse:
% 80.91/81.25 Done
% 80.91/81.25
% 80.91/81.25
% 80.91/81.25 Intermediate Status:
% 80.91/81.25 Generated: 447104
% 80.91/81.26 Kept: 81218
% 80.91/81.26 Inuse: 2012
% 80.91/81.26 Deleted: 25112
% 80.91/81.26 Deletedinuse: 543
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26
% 80.91/81.26 Intermediate Status:
% 80.91/81.26 Generated: 460029
% 80.91/81.26 Kept: 83229
% 80.91/81.26 Inuse: 2039
% 80.91/81.26 Deleted: 25132
% 80.91/81.26 Deletedinuse: 543
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26 Resimplifying clauses:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26
% 80.91/81.26 Intermediate Status:
% 80.91/81.26 Generated: 481270
% 80.91/81.26 Kept: 86688
% 80.91/81.26 Inuse: 2075
% 80.91/81.26 Deleted: 39104
% 80.91/81.26 Deletedinuse: 546
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26
% 80.91/81.26 Intermediate Status:
% 80.91/81.26 Generated: 503052
% 80.91/81.26 Kept: 88773
% 80.91/81.26 Inuse: 2139
% 80.91/81.26 Deleted: 39107
% 80.91/81.26 Deletedinuse: 549
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26
% 80.91/81.26 Intermediate Status:
% 80.91/81.26 Generated: 515026
% 80.91/81.26 Kept: 90845
% 80.91/81.26 Inuse: 2162
% 80.91/81.26 Deleted: 39107
% 80.91/81.26 Deletedinuse: 549
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26
% 80.91/81.26 Intermediate Status:
% 80.91/81.26 Generated: 530383
% 80.91/81.26 Kept: 93036
% 80.91/81.26 Inuse: 2195
% 80.91/81.26 Deleted: 39109
% 80.91/81.26 Deletedinuse: 551
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26 *** allocated 1946160 integers for termspace/termends
% 80.91/81.26
% 80.91/81.26 Intermediate Status:
% 80.91/81.26 Generated: 547414
% 80.91/81.26 Kept: 95062
% 80.91/81.26 Inuse: 2251
% 80.91/81.26 Deleted: 39112
% 80.91/81.26 Deletedinuse: 551
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26
% 80.91/81.26 Intermediate Status:
% 80.91/81.26 Generated: 568638
% 80.91/81.26 Kept: 97081
% 80.91/81.26 Inuse: 2300
% 80.91/81.26 Deleted: 39114
% 80.91/81.26 Deletedinuse: 552
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26
% 80.91/81.26 Intermediate Status:
% 80.91/81.26 Generated: 582505
% 80.91/81.26 Kept: 99111
% 80.91/81.26 Inuse: 2353
% 80.91/81.26 Deleted: 39114
% 80.91/81.26 Deletedinuse: 552
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26
% 80.91/81.26 Intermediate Status:
% 80.91/81.26 Generated: 597272
% 80.91/81.26 Kept: 101361
% 80.91/81.26 Inuse: 2395
% 80.91/81.26 Deleted: 39114
% 80.91/81.26 Deletedinuse: 552
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26
% 80.91/81.26 Intermediate Status:
% 80.91/81.26 Generated: 611974
% 80.91/81.26 Kept: 103544
% 80.91/81.26 Inuse: 2424
% 80.91/81.26 Deleted: 39114
% 80.91/81.26 Deletedinuse: 552
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26
% 80.91/81.26 Intermediate Status:
% 80.91/81.26 Generated: 627956
% 80.91/81.26 Kept: 105620
% 80.91/81.26 Inuse: 2465
% 80.91/81.26 Deleted: 39120
% 80.91/81.26 Deletedinuse: 552
% 80.91/81.26
% 80.91/81.26 Resimplifying inuse:
% 80.91/81.26 Done
% 80.91/81.26
% 80.91/81.26 Resimplifying clauses:
% 80.91/81.26
% 80.91/81.26 Bliksems!, er is een bewijs:
% 80.91/81.26 % SZS status Theorem
% 80.91/81.26 % SZS output start Refutation
% 80.91/81.26
% 80.91/81.26 (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive( X ) }.
% 80.91/81.26 (3) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_connected( X ) }.
% 80.91/81.26 (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), ! epsilon_connected
% 80.91/81.26 ( X ), ordinal( X ) }.
% 80.91/81.26 (9) {G0,W4,D2,L2,V1,M2} I { ! empty( X ), ordinal( X ) }.
% 80.91/81.26 (11) {G0,W8,D2,L3,V2,M3} I { ! epsilon_transitive( X ), ! in( Y, X ),
% 80.91/81.26 subset( Y, X ) }.
% 80.91/81.26 (15) {G0,W4,D3,L1,V1,M1} I { element( skol2( X ), X ) }.
% 80.91/81.26 (16) {G0,W2,D2,L1,V0,M1} I { empty( empty_set ) }.
% 80.91/81.26 (23) {G0,W2,D2,L1,V0,M1} I { ordinal( empty_set ) }.
% 80.91/81.26 (58) {G0,W10,D2,L4,V2,M4} I { ! ordinal( X ), ! ordinal( Y ), ! subset( X,
% 80.91/81.26 Y ), ordinal_subset( X, Y ) }.
% 80.91/81.26 (60) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 80.91/81.26 (62) {G0,W7,D2,L3,V2,M3} I { ! ordinal( X ), ! in( Y, X ), ordinal( Y ) }.
% 80.91/81.26 (63) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ), in( X, Y ), X
% 80.91/81.26 = Y, in( Y, X ) }.
% 80.91/81.26 (64) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 80.91/81.26 (65) {G0,W2,D2,L1,V0,M1} I { ordinal( skol15 ) }.
% 80.91/81.26 (66) {G0,W3,D2,L1,V0,M1} I { subset( skol17, skol15 ) }.
% 80.91/81.26 (67) {G0,W3,D2,L1,V0,M1} I { ! skol17 ==> empty_set }.
% 80.91/81.26 (69) {G0,W9,D3,L3,V2,M3} I { ! ordinal( X ), ! in( X, skol17 ), in( skol18
% 80.91/81.26 ( Y ), skol17 ) }.
% 80.91/81.26 (70) {G0,W9,D3,L3,V1,M3} I { ! ordinal( X ), ! in( X, skol17 ), !
% 80.91/81.26 ordinal_subset( X, skol18( X ) ) }.
% 80.91/81.26 (71) {G0,W7,D3,L2,V2,M2} I { ! element( X, powerset( Y ) ), subset( X, Y )
% 80.91/81.26 }.
% 80.91/81.26 (72) {G0,W7,D3,L2,V2,M2} I { ! subset( X, Y ), element( X, powerset( Y ) )
% 80.91/81.26 }.
% 80.91/81.26 (73) {G0,W10,D3,L3,V3,M3} I { ! in( X, Z ), ! element( Z, powerset( Y ) ),
% 80.91/81.26 element( X, Y ) }.
% 80.91/81.26 (74) {G0,W9,D3,L3,V3,M3} I { ! in( X, Y ), ! element( Y, powerset( Z ) ), !
% 80.91/81.26 empty( Z ) }.
% 80.91/81.26 (75) {G0,W5,D2,L2,V1,M2} I { ! empty( X ), X = empty_set }.
% 80.91/81.26 (76) {G0,W5,D2,L2,V2,M2} I { ! in( X, Y ), ! empty( Y ) }.
% 80.91/81.26 (77) {G0,W7,D3,L2,V2,M2} I { ! in( X, Y ), in( skol16( Y ), Y ) }.
% 80.91/81.26 (78) {G0,W10,D3,L3,V3,M3} I { ! in( X, Y ), ! in( Z, Y ), ! in( Z, skol16(
% 80.91/81.26 Y ) ) }.
% 80.91/81.26 (82) {G1,W7,D3,L2,V2,M2} F(78) { ! in( X, Y ), ! in( X, skol16( Y ) ) }.
% 80.91/81.26 (83) {G1,W2,D2,L1,V0,M1} R(2,65) { epsilon_transitive( skol15 ) }.
% 80.91/81.26 (125) {G1,W8,D2,L3,V2,M3} R(11,2) { ! in( X, Y ), subset( X, Y ), ! ordinal
% 80.91/81.26 ( Y ) }.
% 80.91/81.26 (157) {G1,W8,D2,L3,V1,M3} R(58,23) { ! ordinal( X ), ! subset( empty_set, X
% 80.91/81.26 ), ordinal_subset( empty_set, X ) }.
% 80.91/81.26 (181) {G1,W3,D2,L1,V1,M1} R(76,16) { ! in( X, empty_set ) }.
% 80.91/81.26 (188) {G1,W13,D2,L5,V3,M5} R(62,58) { ! ordinal( X ), ! in( Y, X ), !
% 80.91/81.26 ordinal( Z ), ! subset( Y, Z ), ordinal_subset( Y, Z ) }.
% 80.91/81.26 (198) {G1,W5,D2,L2,V1,M2} R(62,65) { ! in( X, skol15 ), ordinal( X ) }.
% 80.91/81.26 (202) {G2,W8,D2,L3,V2,M3} F(188);r(125) { ! ordinal( X ), ! in( Y, X ),
% 80.91/81.26 ordinal_subset( Y, X ) }.
% 80.91/81.26 (219) {G2,W8,D2,L3,V1,M3} R(63,181);r(23) { ! ordinal( X ), X = empty_set,
% 80.91/81.26 in( empty_set, X ) }.
% 80.91/81.26 (222) {G1,W13,D2,L5,V2,M5} R(63,11);r(2) { ! ordinal( X ), ! ordinal( Y ),
% 80.91/81.26 X = Y, in( Y, X ), subset( X, Y ) }.
% 80.91/81.26 (288) {G2,W11,D2,L4,V2,M4} R(198,58) { ! in( X, skol15 ), ! ordinal( Y ), !
% 80.91/81.26 subset( X, Y ), ordinal_subset( X, Y ) }.
% 80.91/81.26 (293) {G2,W5,D2,L2,V1,M2} R(198,3) { ! in( X, skol15 ), epsilon_connected(
% 80.91/81.26 X ) }.
% 80.91/81.26 (294) {G2,W5,D2,L2,V1,M2} R(198,2) { ! in( X, skol15 ), epsilon_transitive
% 80.91/81.26 ( X ) }.
% 80.91/81.26 (306) {G1,W6,D3,L2,V1,M2} R(64,15) { empty( X ), in( skol2( X ), X ) }.
% 80.91/81.26 (434) {G1,W14,D3,L5,V1,M5} R(70,63);f { ! ordinal( X ), ! ordinal_subset( X
% 80.91/81.26 , skol18( X ) ), ! ordinal( skol17 ), X = skol17, in( skol17, X ) }.
% 80.91/81.26 (474) {G1,W2,D2,L1,V0,M1} P(75,67);q { ! empty( skol17 ) }.
% 80.91/81.26 (487) {G1,W4,D3,L1,V0,M1} R(72,66) { element( skol17, powerset( skol15 ) )
% 80.91/81.26 }.
% 80.91/81.26 (489) {G1,W4,D3,L1,V1,M1} R(72,60) { element( X, powerset( X ) ) }.
% 80.91/81.26 (494) {G2,W6,D2,L2,V1,M2} R(474,64) { ! element( X, skol17 ), in( X, skol17
% 80.91/81.26 ) }.
% 80.91/81.26 (539) {G2,W5,D2,L2,V1,M2} R(487,74) { ! in( X, skol17 ), ! empty( skol15 )
% 80.91/81.26 }.
% 80.91/81.26 (540) {G2,W6,D2,L2,V1,M2} R(487,73) { ! in( X, skol17 ), element( X, skol15
% 80.91/81.26 ) }.
% 80.91/81.26 (547) {G3,W5,D2,L2,V1,M2} R(539,64);r(474) { ! empty( skol15 ), ! element(
% 80.91/81.26 X, skol17 ) }.
% 80.91/81.26 (562) {G4,W2,D2,L1,V0,M1} R(547,15) { ! empty( skol15 ) }.
% 80.91/81.26 (588) {G5,W6,D2,L2,V1,M2} R(562,64) { ! element( X, skol15 ), in( X, skol15
% 80.91/81.26 ) }.
% 80.91/81.26 (630) {G6,W5,D2,L2,V1,M2} R(588,294) { ! element( X, skol15 ),
% 80.91/81.26 epsilon_transitive( X ) }.
% 80.91/81.26 (631) {G6,W5,D2,L2,V1,M2} R(588,293) { ! element( X, skol15 ),
% 80.91/81.26 epsilon_connected( X ) }.
% 80.91/81.26 (632) {G6,W5,D2,L2,V1,M2} R(588,198) { ! element( X, skol15 ), ordinal( X )
% 80.91/81.26 }.
% 80.91/81.26 (633) {G6,W4,D3,L1,V0,M1} R(588,15) { in( skol2( skol15 ), skol15 ) }.
% 80.91/81.26 (638) {G6,W7,D3,L2,V1,M2} R(82,588) { ! in( X, skol16( skol15 ) ), !
% 80.91/81.26 element( X, skol15 ) }.
% 80.91/81.26 (647) {G7,W4,D3,L1,V0,M1} R(633,77) { in( skol16( skol15 ), skol15 ) }.
% 80.91/81.26 (691) {G8,W3,D3,L1,V0,M1} R(647,198) { ordinal( skol16( skol15 ) ) }.
% 80.91/81.26 (693) {G8,W4,D3,L1,V0,M1} R(647,11);r(83) { subset( skol16( skol15 ),
% 80.91/81.26 skol15 ) }.
% 80.91/81.26 (716) {G9,W5,D3,L1,V0,M1} R(693,72) { element( skol16( skol15 ), powerset(
% 80.91/81.26 skol15 ) ) }.
% 80.91/81.26 (764) {G7,W7,D3,L2,V1,M2} R(632,70);r(540) { ! in( X, skol17 ), !
% 80.91/81.26 ordinal_subset( X, skol18( X ) ) }.
% 80.91/81.26 (765) {G7,W7,D3,L2,V2,M2} R(632,69);r(540) { ! in( X, skol17 ), in( skol18
% 80.91/81.26 ( Y ), skol17 ) }.
% 80.91/81.26 (783) {G10,W4,D3,L1,V1,M1} R(716,73);r(638) { ! in( X, skol16( skol15 ) )
% 80.91/81.26 }.
% 80.91/81.26 (825) {G7,W5,D2,L2,V1,M2} R(540,632) { ! in( X, skol17 ), ordinal( X ) }.
% 80.91/81.26 (826) {G7,W5,D2,L2,V1,M2} R(540,631) { ! in( X, skol17 ), epsilon_connected
% 80.91/81.26 ( X ) }.
% 80.91/81.26 (827) {G7,W5,D2,L2,V1,M2} R(540,630) { ! in( X, skol17 ),
% 80.91/81.26 epsilon_transitive( X ) }.
% 80.91/81.26 (929) {G8,W6,D3,L2,V2,M2} R(826,69);r(825) { epsilon_connected( skol18( X )
% 80.91/81.26 ), ! in( Y, skol17 ) }.
% 80.91/81.26 (932) {G8,W6,D3,L2,V2,M2} R(827,69);r(825) { epsilon_transitive( skol18( X
% 80.91/81.26 ) ), ! in( Y, skol17 ) }.
% 80.91/81.26 (1064) {G3,W4,D3,L1,V0,M1} R(494,15) { in( skol2( skol17 ), skol17 ) }.
% 80.91/81.26 (1068) {G4,W4,D3,L1,V0,M1} R(1064,77) { in( skol16( skol17 ), skol17 ) }.
% 80.91/81.26 (1085) {G8,W3,D3,L1,V0,M1} R(1068,825) { ordinal( skol16( skol17 ) ) }.
% 80.91/81.26 (1102) {G9,W14,D3,L4,V1,M4} R(1085,63) { ! ordinal( X ), in( skol16( skol17
% 80.91/81.26 ), X ), skol16( skol17 ) = X, in( X, skol16( skol17 ) ) }.
% 80.91/81.26 (1104) {G9,W10,D3,L3,V1,M3} R(1085,58) { ! ordinal( X ), ! subset( skol16(
% 80.91/81.26 skol17 ), X ), ordinal_subset( skol16( skol17 ), X ) }.
% 80.91/81.26 (2523) {G9,W3,D3,L1,V1,M1} R(932,1068) { epsilon_transitive( skol18( X ) )
% 80.91/81.26 }.
% 80.91/81.26 (2534) {G9,W3,D3,L1,V1,M1} R(929,1068) { epsilon_connected( skol18( X ) )
% 80.91/81.26 }.
% 80.91/81.26 (2543) {G10,W3,D3,L1,V1,M1} R(2534,6);r(2523) { ordinal( skol18( X ) ) }.
% 80.91/81.26 (5750) {G11,W4,D3,L1,V0,M1} R(219,783);r(691) { skol16( skol15 ) ==>
% 80.91/81.26 empty_set }.
% 80.91/81.26 (6080) {G12,W3,D2,L1,V0,M1} P(5750,647) { in( empty_set, skol15 ) }.
% 80.91/81.26 (7961) {G2,W10,D2,L4,V1,M4} P(222,16);r(23) { empty( X ), ! ordinal( X ),
% 80.91/81.26 in( X, empty_set ), subset( empty_set, X ) }.
% 80.91/81.26 (10454) {G2,W6,D3,L2,V1,M2} R(306,77) { empty( X ), in( skol16( X ), X )
% 80.91/81.26 }.
% 80.91/81.26 (10468) {G2,W6,D3,L2,V1,M2} R(306,9) { in( skol2( X ), X ), ordinal( X )
% 80.91/81.26 }.
% 80.91/81.26 (10738) {G3,W6,D3,L2,V1,M2} R(10454,9) { in( skol16( X ), X ), ordinal( X )
% 80.91/81.26 }.
% 80.91/81.26 (21207) {G3,W7,D2,L3,V1,M3} S(7961);r(181) { empty( X ), ! ordinal( X ),
% 80.91/81.26 subset( empty_set, X ) }.
% 80.91/81.26 (23792) {G13,W7,D2,L3,V1,M3} R(21207,288);f;r(6080) { empty( X ), ! ordinal
% 80.91/81.26 ( X ), ordinal_subset( empty_set, X ) }.
% 80.91/81.26 (28241) {G14,W14,D3,L5,V0,M5} R(434,23792);r(23) { ! ordinal( skol17 ),
% 80.91/81.26 skol17 ==> empty_set, in( skol17, empty_set ), empty( skol18( empty_set )
% 80.91/81.26 ), ! ordinal( skol18( empty_set ) ) }.
% 80.91/81.26 (28266) {G2,W15,D3,L5,V0,M5} R(434,157);r(23) { ! ordinal( skol17 ), skol17
% 80.91/81.26 ==> empty_set, in( skol17, empty_set ), ! ordinal( skol18( empty_set ) )
% 80.91/81.26 , ! subset( empty_set, skol18( empty_set ) ) }.
% 80.91/81.26 (42130) {G15,W5,D3,L2,V0,M2} S(28241);r(67);r(181);r(2543) { ! ordinal(
% 80.91/81.26 skol17 ), empty( skol18( empty_set ) ) }.
% 80.91/81.26 (42133) {G11,W6,D3,L2,V0,M2} S(28266);r(67);r(181);r(2543) { ! ordinal(
% 80.91/81.26 skol17 ), ! subset( empty_set, skol18( empty_set ) ) }.
% 80.91/81.26 (43408) {G16,W6,D3,L2,V0,M2} R(42130,75) { ! ordinal( skol17 ), skol18(
% 80.91/81.26 empty_set ) ==> empty_set }.
% 80.91/81.26 (54233) {G17,W2,D2,L1,V0,M1} S(42133);d(43408);r(60) { ! ordinal( skol17 )
% 80.91/81.26 }.
% 80.91/81.26 (59389) {G18,W6,D4,L1,V0,M1} R(764,10738);r(54233) { ! ordinal_subset(
% 80.91/81.26 skol16( skol17 ), skol18( skol16( skol17 ) ) ) }.
% 80.91/81.26 (59723) {G18,W4,D3,L1,V1,M1} R(765,10468);r(54233) { in( skol18( X ),
% 80.91/81.26 skol17 ) }.
% 80.91/81.26 (59763) {G19,W5,D3,L1,V1,M1} R(59723,82) { ! in( skol18( X ), skol16(
% 80.91/81.26 skol17 ) ) }.
% 80.91/81.26 (97994) {G19,W6,D4,L1,V0,M1} R(59389,1104);r(2543) { ! subset( skol16(
% 80.91/81.26 skol17 ), skol18( skol16( skol17 ) ) ) }.
% 80.91/81.26 (97998) {G19,W6,D4,L1,V0,M1} R(59389,202);r(2543) { ! in( skol16( skol17 )
% 80.91/81.26 , skol18( skol16( skol17 ) ) ) }.
% 80.91/81.26 (98024) {G20,W7,D5,L1,V0,M1} R(97994,71) { ! element( skol16( skol17 ),
% 80.91/81.26 powerset( skol18( skol16( skol17 ) ) ) ) }.
% 80.91/81.26 (98474) {G20,W12,D4,L2,V0,M2} R(97998,1102);r(2543) { skol18( skol16(
% 80.91/81.26 skol17 ) ) ==> skol16( skol17 ), in( skol18( skol16( skol17 ) ), skol16(
% 80.91/81.26 skol17 ) ) }.
% 80.91/81.26 (106813) {G21,W6,D4,L1,V0,M1} S(98474);r(59763) { skol18( skol16( skol17 )
% 80.91/81.26 ) ==> skol16( skol17 ) }.
% 80.91/81.26 (106821) {G22,W0,D0,L0,V0,M0} S(98024);d(106813);r(489) { }.
% 80.91/81.26
% 80.91/81.26
% 80.91/81.26 % SZS output end Refutation
% 80.91/81.26 found a proof!
% 80.91/81.26
% 80.91/81.26
% 80.91/81.26 Unprocessed initial clauses:
% 80.91/81.26
% 80.91/81.26 (106823) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 80.91/81.26 (106824) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 80.91/81.26 (106825) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive( X ) }.
% 80.91/81.26 (106826) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected( X ) }.
% 80.91/81.26 (106827) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 80.91/81.26 (106828) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function(
% 80.91/81.26 X ), relation( X ) }.
% 80.91/81.26 (106829) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function(
% 80.91/81.26 X ), function( X ) }.
% 80.91/81.26 (106830) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function(
% 80.91/81.26 X ), one_to_one( X ) }.
% 80.91/81.26 (106831) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 80.91/81.26 epsilon_connected( X ), ordinal( X ) }.
% 80.91/81.26 (106832) {G0,W4,D2,L2,V1,M2} { ! empty( X ), epsilon_transitive( X ) }.
% 80.91/81.26 (106833) {G0,W4,D2,L2,V1,M2} { ! empty( X ), epsilon_connected( X ) }.
% 80.91/81.26 (106834) {G0,W4,D2,L2,V1,M2} { ! empty( X ), ordinal( X ) }.
% 80.91/81.26 (106835) {G0,W10,D2,L4,V2,M4} { ! ordinal( X ), ! ordinal( Y ),
% 80.91/81.26 ordinal_subset( X, Y ), ordinal_subset( Y, X ) }.
% 80.91/81.26 (106836) {G0,W8,D2,L3,V2,M3} { ! epsilon_transitive( X ), ! in( Y, X ),
% 80.91/81.26 subset( Y, X ) }.
% 80.91/81.26 (106837) {G0,W6,D3,L2,V1,M2} { in( skol1( X ), X ), epsilon_transitive( X
% 80.91/81.26 ) }.
% 80.91/81.26 (106838) {G0,W6,D3,L2,V1,M2} { ! subset( skol1( X ), X ),
% 80.91/81.26 epsilon_transitive( X ) }.
% 80.91/81.26 (106839) {G0,W1,D1,L1,V0,M1} { && }.
% 80.91/81.26 (106840) {G0,W1,D1,L1,V0,M1} { && }.
% 80.91/81.26 (106841) {G0,W1,D1,L1,V0,M1} { && }.
% 80.91/81.26 (106842) {G0,W4,D3,L1,V1,M1} { element( skol2( X ), X ) }.
% 80.91/81.26 (106843) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 80.91/81.26 (106844) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 80.91/81.26 (106845) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 80.91/81.26 (106846) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 80.91/81.26 (106847) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 80.91/81.26 (106848) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 80.91/81.26 (106849) {G0,W2,D2,L1,V0,M1} { function( empty_set ) }.
% 80.91/81.26 (106850) {G0,W2,D2,L1,V0,M1} { one_to_one( empty_set ) }.
% 80.91/81.26 (106851) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 80.91/81.26 (106852) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( empty_set ) }.
% 80.91/81.26 (106853) {G0,W2,D2,L1,V0,M1} { epsilon_connected( empty_set ) }.
% 80.91/81.26 (106854) {G0,W2,D2,L1,V0,M1} { ordinal( empty_set ) }.
% 80.91/81.26 (106855) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 80.91/81.26 (106856) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 80.91/81.26 (106857) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 80.91/81.26 (106858) {G0,W2,D2,L1,V0,M1} { function( skol3 ) }.
% 80.91/81.26 (106859) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol4 ) }.
% 80.91/81.26 (106860) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol4 ) }.
% 80.91/81.26 (106861) {G0,W2,D2,L1,V0,M1} { ordinal( skol4 ) }.
% 80.91/81.26 (106862) {G0,W2,D2,L1,V0,M1} { empty( skol5 ) }.
% 80.91/81.26 (106863) {G0,W2,D2,L1,V0,M1} { relation( skol5 ) }.
% 80.91/81.26 (106864) {G0,W2,D2,L1,V0,M1} { empty( skol6 ) }.
% 80.91/81.26 (106865) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 80.91/81.26 (106866) {G0,W2,D2,L1,V0,M1} { empty( skol7 ) }.
% 80.91/81.26 (106867) {G0,W2,D2,L1,V0,M1} { function( skol7 ) }.
% 80.91/81.26 (106868) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 80.91/81.26 (106869) {G0,W2,D2,L1,V0,M1} { function( skol8 ) }.
% 80.91/81.26 (106870) {G0,W2,D2,L1,V0,M1} { one_to_one( skol8 ) }.
% 80.91/81.26 (106871) {G0,W2,D2,L1,V0,M1} { empty( skol8 ) }.
% 80.91/81.26 (106872) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol8 ) }.
% 80.91/81.26 (106873) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol8 ) }.
% 80.91/81.26 (106874) {G0,W2,D2,L1,V0,M1} { ordinal( skol8 ) }.
% 80.91/81.26 (106875) {G0,W2,D2,L1,V0,M1} { ! empty( skol9 ) }.
% 80.91/81.26 (106876) {G0,W2,D2,L1,V0,M1} { relation( skol9 ) }.
% 80.91/81.26 (106877) {G0,W2,D2,L1,V0,M1} { ! empty( skol10 ) }.
% 80.91/81.26 (106878) {G0,W2,D2,L1,V0,M1} { relation( skol11 ) }.
% 80.91/81.26 (106879) {G0,W2,D2,L1,V0,M1} { function( skol11 ) }.
% 80.91/81.26 (106880) {G0,W2,D2,L1,V0,M1} { one_to_one( skol11 ) }.
% 80.91/81.26 (106881) {G0,W2,D2,L1,V0,M1} { ! empty( skol12 ) }.
% 80.91/81.26 (106882) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol12 ) }.
% 80.91/81.26 (106883) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol12 ) }.
% 80.91/81.26 (106884) {G0,W2,D2,L1,V0,M1} { ordinal( skol12 ) }.
% 80.91/81.26 (106885) {G0,W2,D2,L1,V0,M1} { relation( skol13 ) }.
% 80.91/81.26 (106886) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol13 ) }.
% 80.91/81.26 (106887) {G0,W2,D2,L1,V0,M1} { relation( skol14 ) }.
% 80.91/81.26 (106888) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol14 ) }.
% 80.91/81.26 (106889) {G0,W2,D2,L1,V0,M1} { function( skol14 ) }.
% 80.91/81.26 (106890) {G0,W10,D2,L4,V2,M4} { ! ordinal( X ), ! ordinal( Y ), !
% 80.91/81.26 ordinal_subset( X, Y ), subset( X, Y ) }.
% 80.91/81.26 (106891) {G0,W10,D2,L4,V2,M4} { ! ordinal( X ), ! ordinal( Y ), ! subset(
% 80.91/81.26 X, Y ), ordinal_subset( X, Y ) }.
% 80.91/81.26 (106892) {G0,W7,D2,L3,V2,M3} { ! ordinal( X ), ! ordinal( Y ),
% 80.91/81.26 ordinal_subset( X, X ) }.
% 80.91/81.26 (106893) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 80.91/81.26 (106894) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 80.91/81.26 (106895) {G0,W7,D2,L3,V2,M3} { ! ordinal( X ), ! in( Y, X ), ordinal( Y )
% 80.91/81.26 }.
% 80.91/81.26 (106896) {G0,W13,D2,L5,V2,M5} { ! ordinal( X ), ! ordinal( Y ), in( X, Y )
% 80.91/81.26 , X = Y, in( Y, X ) }.
% 80.91/81.26 (106897) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 80.91/81.26 }.
% 80.91/81.26 (106898) {G0,W2,D2,L1,V0,M1} { ordinal( skol15 ) }.
% 80.91/81.26 (106899) {G0,W3,D2,L1,V0,M1} { subset( skol17, skol15 ) }.
% 80.91/81.26 (106900) {G0,W3,D2,L1,V0,M1} { ! skol17 = empty_set }.
% 80.91/81.26 (106901) {G0,W8,D3,L3,V2,M3} { ! ordinal( X ), ! in( X, skol17 ), ordinal
% 80.91/81.26 ( skol18( Y ) ) }.
% 80.91/81.26 (106902) {G0,W9,D3,L3,V2,M3} { ! ordinal( X ), ! in( X, skol17 ), in(
% 80.91/81.26 skol18( Y ), skol17 ) }.
% 80.91/81.26 (106903) {G0,W9,D3,L3,V1,M3} { ! ordinal( X ), ! in( X, skol17 ), !
% 80.91/81.26 ordinal_subset( X, skol18( X ) ) }.
% 80.91/81.26 (106904) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 80.91/81.26 ) }.
% 80.91/81.26 (106905) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 80.91/81.26 ) }.
% 80.91/81.26 (106906) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y )
% 80.91/81.26 ), element( X, Y ) }.
% 80.91/81.26 (106907) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 80.91/81.26 , ! empty( Z ) }.
% 80.91/81.26 (106908) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 80.91/81.26 (106909) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 80.91/81.26 (106910) {G0,W7,D3,L2,V2,M2} { ! in( X, Y ), in( skol16( Y ), Y ) }.
% 80.91/81.26 (106911) {G0,W10,D3,L3,V3,M3} { ! in( X, Y ), ! in( Z, Y ), ! in( Z,
% 80.91/81.26 skol16( Y ) ) }.
% 80.91/81.26 (106912) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 80.91/81.26
% 80.91/81.26
% 80.91/81.26 Total Proof:
% 80.91/81.26
% 80.91/81.26 subsumption: (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive
% 80.91/81.26 ( X ) }.
% 80.91/81.26 parent0: (106825) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive
% 80.91/81.26 ( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (3) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_connected
% 80.91/81.26 ( X ) }.
% 80.91/81.26 parent0: (106826) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected
% 80.91/81.26 ( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), !
% 80.91/81.26 epsilon_connected( X ), ordinal( X ) }.
% 80.91/81.26 parent0: (106831) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 80.91/81.26 epsilon_connected( X ), ordinal( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (9) {G0,W4,D2,L2,V1,M2} I { ! empty( X ), ordinal( X ) }.
% 80.91/81.26 parent0: (106834) {G0,W4,D2,L2,V1,M2} { ! empty( X ), ordinal( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (11) {G0,W8,D2,L3,V2,M3} I { ! epsilon_transitive( X ), ! in(
% 80.91/81.26 Y, X ), subset( Y, X ) }.
% 80.91/81.26 parent0: (106836) {G0,W8,D2,L3,V2,M3} { ! epsilon_transitive( X ), ! in( Y
% 80.91/81.26 , X ), subset( Y, X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (15) {G0,W4,D3,L1,V1,M1} I { element( skol2( X ), X ) }.
% 80.91/81.26 parent0: (106842) {G0,W4,D3,L1,V1,M1} { element( skol2( X ), X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (16) {G0,W2,D2,L1,V0,M1} I { empty( empty_set ) }.
% 80.91/81.26 parent0: (106843) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (23) {G0,W2,D2,L1,V0,M1} I { ordinal( empty_set ) }.
% 80.91/81.26 parent0: (106854) {G0,W2,D2,L1,V0,M1} { ordinal( empty_set ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (58) {G0,W10,D2,L4,V2,M4} I { ! ordinal( X ), ! ordinal( Y ),
% 80.91/81.26 ! subset( X, Y ), ordinal_subset( X, Y ) }.
% 80.91/81.26 parent0: (106891) {G0,W10,D2,L4,V2,M4} { ! ordinal( X ), ! ordinal( Y ), !
% 80.91/81.26 subset( X, Y ), ordinal_subset( X, Y ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 3 ==> 3
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (60) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 80.91/81.26 parent0: (106893) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (62) {G0,W7,D2,L3,V2,M3} I { ! ordinal( X ), ! in( Y, X ),
% 80.91/81.26 ordinal( Y ) }.
% 80.91/81.26 parent0: (106895) {G0,W7,D2,L3,V2,M3} { ! ordinal( X ), ! in( Y, X ),
% 80.91/81.26 ordinal( Y ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (63) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ),
% 80.91/81.26 in( X, Y ), X = Y, in( Y, X ) }.
% 80.91/81.26 parent0: (106896) {G0,W13,D2,L5,V2,M5} { ! ordinal( X ), ! ordinal( Y ),
% 80.91/81.26 in( X, Y ), X = Y, in( Y, X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 3 ==> 3
% 80.91/81.26 4 ==> 4
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (64) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in
% 80.91/81.26 ( X, Y ) }.
% 80.91/81.26 parent0: (106897) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in
% 80.91/81.26 ( X, Y ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (65) {G0,W2,D2,L1,V0,M1} I { ordinal( skol15 ) }.
% 80.91/81.26 parent0: (106898) {G0,W2,D2,L1,V0,M1} { ordinal( skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (66) {G0,W3,D2,L1,V0,M1} I { subset( skol17, skol15 ) }.
% 80.91/81.26 parent0: (106899) {G0,W3,D2,L1,V0,M1} { subset( skol17, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (67) {G0,W3,D2,L1,V0,M1} I { ! skol17 ==> empty_set }.
% 80.91/81.26 parent0: (106900) {G0,W3,D2,L1,V0,M1} { ! skol17 = empty_set }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (69) {G0,W9,D3,L3,V2,M3} I { ! ordinal( X ), ! in( X, skol17 )
% 80.91/81.26 , in( skol18( Y ), skol17 ) }.
% 80.91/81.26 parent0: (106902) {G0,W9,D3,L3,V2,M3} { ! ordinal( X ), ! in( X, skol17 )
% 80.91/81.26 , in( skol18( Y ), skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (70) {G0,W9,D3,L3,V1,M3} I { ! ordinal( X ), ! in( X, skol17 )
% 80.91/81.26 , ! ordinal_subset( X, skol18( X ) ) }.
% 80.91/81.26 parent0: (106903) {G0,W9,D3,L3,V1,M3} { ! ordinal( X ), ! in( X, skol17 )
% 80.91/81.26 , ! ordinal_subset( X, skol18( X ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (71) {G0,W7,D3,L2,V2,M2} I { ! element( X, powerset( Y ) ),
% 80.91/81.26 subset( X, Y ) }.
% 80.91/81.26 parent0: (106904) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ),
% 80.91/81.26 subset( X, Y ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (72) {G0,W7,D3,L2,V2,M2} I { ! subset( X, Y ), element( X,
% 80.91/81.26 powerset( Y ) ) }.
% 80.91/81.26 parent0: (106905) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X,
% 80.91/81.26 powerset( Y ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (73) {G0,W10,D3,L3,V3,M3} I { ! in( X, Z ), ! element( Z,
% 80.91/81.26 powerset( Y ) ), element( X, Y ) }.
% 80.91/81.26 parent0: (106906) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z,
% 80.91/81.26 powerset( Y ) ), element( X, Y ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 Z := Z
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (74) {G0,W9,D3,L3,V3,M3} I { ! in( X, Y ), ! element( Y,
% 80.91/81.26 powerset( Z ) ), ! empty( Z ) }.
% 80.91/81.26 parent0: (106907) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y,
% 80.91/81.26 powerset( Z ) ), ! empty( Z ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 Z := Z
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (75) {G0,W5,D2,L2,V1,M2} I { ! empty( X ), X = empty_set }.
% 80.91/81.26 parent0: (106908) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (76) {G0,W5,D2,L2,V2,M2} I { ! in( X, Y ), ! empty( Y ) }.
% 80.91/81.26 parent0: (106909) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (77) {G0,W7,D3,L2,V2,M2} I { ! in( X, Y ), in( skol16( Y ), Y
% 80.91/81.26 ) }.
% 80.91/81.26 parent0: (106910) {G0,W7,D3,L2,V2,M2} { ! in( X, Y ), in( skol16( Y ), Y )
% 80.91/81.26 }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (78) {G0,W10,D3,L3,V3,M3} I { ! in( X, Y ), ! in( Z, Y ), ! in
% 80.91/81.26 ( Z, skol16( Y ) ) }.
% 80.91/81.26 parent0: (106911) {G0,W10,D3,L3,V3,M3} { ! in( X, Y ), ! in( Z, Y ), ! in
% 80.91/81.26 ( Z, skol16( Y ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 Z := Z
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 factor: (107119) {G0,W7,D3,L2,V2,M2} { ! in( X, Y ), ! in( X, skol16( Y )
% 80.91/81.26 ) }.
% 80.91/81.26 parent0[0, 1]: (78) {G0,W10,D3,L3,V3,M3} I { ! in( X, Y ), ! in( Z, Y ), !
% 80.91/81.26 in( Z, skol16( Y ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 Z := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (82) {G1,W7,D3,L2,V2,M2} F(78) { ! in( X, Y ), ! in( X, skol16
% 80.91/81.26 ( Y ) ) }.
% 80.91/81.26 parent0: (107119) {G0,W7,D3,L2,V2,M2} { ! in( X, Y ), ! in( X, skol16( Y )
% 80.91/81.26 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107120) {G1,W2,D2,L1,V0,M1} { epsilon_transitive( skol15 )
% 80.91/81.26 }.
% 80.91/81.26 parent0[0]: (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive
% 80.91/81.26 ( X ) }.
% 80.91/81.26 parent1[0]: (65) {G0,W2,D2,L1,V0,M1} I { ordinal( skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol15
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (83) {G1,W2,D2,L1,V0,M1} R(2,65) { epsilon_transitive( skol15
% 80.91/81.26 ) }.
% 80.91/81.26 parent0: (107120) {G1,W2,D2,L1,V0,M1} { epsilon_transitive( skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107121) {G1,W8,D2,L3,V2,M3} { ! in( Y, X ), subset( Y, X ), !
% 80.91/81.26 ordinal( X ) }.
% 80.91/81.26 parent0[0]: (11) {G0,W8,D2,L3,V2,M3} I { ! epsilon_transitive( X ), ! in( Y
% 80.91/81.26 , X ), subset( Y, X ) }.
% 80.91/81.26 parent1[1]: (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive
% 80.91/81.26 ( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (125) {G1,W8,D2,L3,V2,M3} R(11,2) { ! in( X, Y ), subset( X, Y
% 80.91/81.26 ), ! ordinal( Y ) }.
% 80.91/81.26 parent0: (107121) {G1,W8,D2,L3,V2,M3} { ! in( Y, X ), subset( Y, X ), !
% 80.91/81.26 ordinal( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := Y
% 80.91/81.26 Y := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107122) {G1,W8,D2,L3,V1,M3} { ! ordinal( X ), ! subset(
% 80.91/81.26 empty_set, X ), ordinal_subset( empty_set, X ) }.
% 80.91/81.26 parent0[0]: (58) {G0,W10,D2,L4,V2,M4} I { ! ordinal( X ), ! ordinal( Y ), !
% 80.91/81.26 subset( X, Y ), ordinal_subset( X, Y ) }.
% 80.91/81.26 parent1[0]: (23) {G0,W2,D2,L1,V0,M1} I { ordinal( empty_set ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := empty_set
% 80.91/81.26 Y := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (157) {G1,W8,D2,L3,V1,M3} R(58,23) { ! ordinal( X ), ! subset
% 80.91/81.26 ( empty_set, X ), ordinal_subset( empty_set, X ) }.
% 80.91/81.26 parent0: (107122) {G1,W8,D2,L3,V1,M3} { ! ordinal( X ), ! subset(
% 80.91/81.26 empty_set, X ), ordinal_subset( empty_set, X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107124) {G1,W3,D2,L1,V1,M1} { ! in( X, empty_set ) }.
% 80.91/81.26 parent0[1]: (76) {G0,W5,D2,L2,V2,M2} I { ! in( X, Y ), ! empty( Y ) }.
% 80.91/81.26 parent1[0]: (16) {G0,W2,D2,L1,V0,M1} I { empty( empty_set ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := empty_set
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (181) {G1,W3,D2,L1,V1,M1} R(76,16) { ! in( X, empty_set ) }.
% 80.91/81.26 parent0: (107124) {G1,W3,D2,L1,V1,M1} { ! in( X, empty_set ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107125) {G1,W13,D2,L5,V3,M5} { ! ordinal( Y ), ! subset( X, Y
% 80.91/81.26 ), ordinal_subset( X, Y ), ! ordinal( Z ), ! in( X, Z ) }.
% 80.91/81.26 parent0[0]: (58) {G0,W10,D2,L4,V2,M4} I { ! ordinal( X ), ! ordinal( Y ), !
% 80.91/81.26 subset( X, Y ), ordinal_subset( X, Y ) }.
% 80.91/81.26 parent1[2]: (62) {G0,W7,D2,L3,V2,M3} I { ! ordinal( X ), ! in( Y, X ),
% 80.91/81.26 ordinal( Y ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := Z
% 80.91/81.26 Y := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (188) {G1,W13,D2,L5,V3,M5} R(62,58) { ! ordinal( X ), ! in( Y
% 80.91/81.26 , X ), ! ordinal( Z ), ! subset( Y, Z ), ordinal_subset( Y, Z ) }.
% 80.91/81.26 parent0: (107125) {G1,W13,D2,L5,V3,M5} { ! ordinal( Y ), ! subset( X, Y )
% 80.91/81.26 , ordinal_subset( X, Y ), ! ordinal( Z ), ! in( X, Z ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := Y
% 80.91/81.26 Y := Z
% 80.91/81.26 Z := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 2
% 80.91/81.26 1 ==> 3
% 80.91/81.26 2 ==> 4
% 80.91/81.26 3 ==> 0
% 80.91/81.26 4 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107129) {G1,W5,D2,L2,V1,M2} { ! in( X, skol15 ), ordinal( X )
% 80.91/81.26 }.
% 80.91/81.26 parent0[0]: (62) {G0,W7,D2,L3,V2,M3} I { ! ordinal( X ), ! in( Y, X ),
% 80.91/81.26 ordinal( Y ) }.
% 80.91/81.26 parent1[0]: (65) {G0,W2,D2,L1,V0,M1} I { ordinal( skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol15
% 80.91/81.26 Y := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (198) {G1,W5,D2,L2,V1,M2} R(62,65) { ! in( X, skol15 ),
% 80.91/81.26 ordinal( X ) }.
% 80.91/81.26 parent0: (107129) {G1,W5,D2,L2,V1,M2} { ! in( X, skol15 ), ordinal( X )
% 80.91/81.26 }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 factor: (107130) {G1,W11,D2,L4,V2,M4} { ! ordinal( X ), ! in( Y, X ), !
% 80.91/81.26 subset( Y, X ), ordinal_subset( Y, X ) }.
% 80.91/81.26 parent0[0, 2]: (188) {G1,W13,D2,L5,V3,M5} R(62,58) { ! ordinal( X ), ! in(
% 80.91/81.26 Y, X ), ! ordinal( Z ), ! subset( Y, Z ), ordinal_subset( Y, Z ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 Z := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107131) {G2,W13,D2,L5,V2,M5} { ! ordinal( X ), ! in( Y, X ),
% 80.91/81.26 ordinal_subset( Y, X ), ! in( Y, X ), ! ordinal( X ) }.
% 80.91/81.26 parent0[2]: (107130) {G1,W11,D2,L4,V2,M4} { ! ordinal( X ), ! in( Y, X ),
% 80.91/81.26 ! subset( Y, X ), ordinal_subset( Y, X ) }.
% 80.91/81.26 parent1[1]: (125) {G1,W8,D2,L3,V2,M3} R(11,2) { ! in( X, Y ), subset( X, Y
% 80.91/81.26 ), ! ordinal( Y ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := Y
% 80.91/81.26 Y := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 factor: (107133) {G2,W10,D2,L4,V2,M4} { ! ordinal( X ), ! in( Y, X ),
% 80.91/81.26 ordinal_subset( Y, X ), ! ordinal( X ) }.
% 80.91/81.26 parent0[1, 3]: (107131) {G2,W13,D2,L5,V2,M5} { ! ordinal( X ), ! in( Y, X
% 80.91/81.26 ), ordinal_subset( Y, X ), ! in( Y, X ), ! ordinal( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 factor: (107134) {G2,W8,D2,L3,V2,M3} { ! ordinal( X ), ! in( Y, X ),
% 80.91/81.26 ordinal_subset( Y, X ) }.
% 80.91/81.26 parent0[0, 3]: (107133) {G2,W10,D2,L4,V2,M4} { ! ordinal( X ), ! in( Y, X
% 80.91/81.26 ), ordinal_subset( Y, X ), ! ordinal( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (202) {G2,W8,D2,L3,V2,M3} F(188);r(125) { ! ordinal( X ), ! in
% 80.91/81.26 ( Y, X ), ordinal_subset( Y, X ) }.
% 80.91/81.26 parent0: (107134) {G2,W8,D2,L3,V2,M3} { ! ordinal( X ), ! in( Y, X ),
% 80.91/81.26 ordinal_subset( Y, X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107135) {G1,W10,D2,L4,V1,M4} { ! ordinal( X ), ! ordinal(
% 80.91/81.26 empty_set ), X = empty_set, in( empty_set, X ) }.
% 80.91/81.26 parent0[0]: (181) {G1,W3,D2,L1,V1,M1} R(76,16) { ! in( X, empty_set ) }.
% 80.91/81.26 parent1[2]: (63) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ),
% 80.91/81.26 in( X, Y ), X = Y, in( Y, X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 Y := empty_set
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107138) {G1,W8,D2,L3,V1,M3} { ! ordinal( X ), X = empty_set,
% 80.91/81.26 in( empty_set, X ) }.
% 80.91/81.26 parent0[1]: (107135) {G1,W10,D2,L4,V1,M4} { ! ordinal( X ), ! ordinal(
% 80.91/81.26 empty_set ), X = empty_set, in( empty_set, X ) }.
% 80.91/81.26 parent1[0]: (23) {G0,W2,D2,L1,V0,M1} I { ordinal( empty_set ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (219) {G2,W8,D2,L3,V1,M3} R(63,181);r(23) { ! ordinal( X ), X
% 80.91/81.26 = empty_set, in( empty_set, X ) }.
% 80.91/81.26 parent0: (107138) {G1,W8,D2,L3,V1,M3} { ! ordinal( X ), X = empty_set, in
% 80.91/81.26 ( empty_set, X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107140) {G1,W15,D2,L6,V2,M6} { ! epsilon_transitive( X ),
% 80.91/81.26 subset( Y, X ), ! ordinal( Y ), ! ordinal( X ), Y = X, in( X, Y ) }.
% 80.91/81.26 parent0[1]: (11) {G0,W8,D2,L3,V2,M3} I { ! epsilon_transitive( X ), ! in( Y
% 80.91/81.26 , X ), subset( Y, X ) }.
% 80.91/81.26 parent1[2]: (63) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ),
% 80.91/81.26 in( X, Y ), X = Y, in( Y, X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := Y
% 80.91/81.26 Y := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107143) {G1,W15,D2,L6,V2,M6} { subset( Y, X ), ! ordinal( Y )
% 80.91/81.26 , ! ordinal( X ), Y = X, in( X, Y ), ! ordinal( X ) }.
% 80.91/81.26 parent0[0]: (107140) {G1,W15,D2,L6,V2,M6} { ! epsilon_transitive( X ),
% 80.91/81.26 subset( Y, X ), ! ordinal( Y ), ! ordinal( X ), Y = X, in( X, Y ) }.
% 80.91/81.26 parent1[1]: (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive
% 80.91/81.26 ( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 factor: (107148) {G1,W13,D2,L5,V2,M5} { subset( X, Y ), ! ordinal( X ), !
% 80.91/81.26 ordinal( Y ), X = Y, in( Y, X ) }.
% 80.91/81.26 parent0[2, 5]: (107143) {G1,W15,D2,L6,V2,M6} { subset( Y, X ), ! ordinal(
% 80.91/81.26 Y ), ! ordinal( X ), Y = X, in( X, Y ), ! ordinal( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := Y
% 80.91/81.26 Y := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (222) {G1,W13,D2,L5,V2,M5} R(63,11);r(2) { ! ordinal( X ), !
% 80.91/81.26 ordinal( Y ), X = Y, in( Y, X ), subset( X, Y ) }.
% 80.91/81.26 parent0: (107148) {G1,W13,D2,L5,V2,M5} { subset( X, Y ), ! ordinal( X ), !
% 80.91/81.26 ordinal( Y ), X = Y, in( Y, X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 4
% 80.91/81.26 1 ==> 0
% 80.91/81.26 2 ==> 1
% 80.91/81.26 3 ==> 2
% 80.91/81.26 4 ==> 3
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107149) {G1,W11,D2,L4,V2,M4} { ! ordinal( Y ), ! subset( X, Y
% 80.91/81.26 ), ordinal_subset( X, Y ), ! in( X, skol15 ) }.
% 80.91/81.26 parent0[0]: (58) {G0,W10,D2,L4,V2,M4} I { ! ordinal( X ), ! ordinal( Y ), !
% 80.91/81.26 subset( X, Y ), ordinal_subset( X, Y ) }.
% 80.91/81.26 parent1[1]: (198) {G1,W5,D2,L2,V1,M2} R(62,65) { ! in( X, skol15 ), ordinal
% 80.91/81.26 ( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (288) {G2,W11,D2,L4,V2,M4} R(198,58) { ! in( X, skol15 ), !
% 80.91/81.26 ordinal( Y ), ! subset( X, Y ), ordinal_subset( X, Y ) }.
% 80.91/81.26 parent0: (107149) {G1,W11,D2,L4,V2,M4} { ! ordinal( Y ), ! subset( X, Y )
% 80.91/81.26 , ordinal_subset( X, Y ), ! in( X, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 1
% 80.91/81.26 1 ==> 2
% 80.91/81.26 2 ==> 3
% 80.91/81.26 3 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107151) {G1,W5,D2,L2,V1,M2} { epsilon_connected( X ), ! in( X
% 80.91/81.26 , skol15 ) }.
% 80.91/81.26 parent0[0]: (3) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_connected(
% 80.91/81.26 X ) }.
% 80.91/81.26 parent1[1]: (198) {G1,W5,D2,L2,V1,M2} R(62,65) { ! in( X, skol15 ), ordinal
% 80.91/81.26 ( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (293) {G2,W5,D2,L2,V1,M2} R(198,3) { ! in( X, skol15 ),
% 80.91/81.26 epsilon_connected( X ) }.
% 80.91/81.26 parent0: (107151) {G1,W5,D2,L2,V1,M2} { epsilon_connected( X ), ! in( X,
% 80.91/81.26 skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 1
% 80.91/81.26 1 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107152) {G1,W5,D2,L2,V1,M2} { epsilon_transitive( X ), ! in(
% 80.91/81.26 X, skol15 ) }.
% 80.91/81.26 parent0[0]: (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive
% 80.91/81.26 ( X ) }.
% 80.91/81.26 parent1[1]: (198) {G1,W5,D2,L2,V1,M2} R(62,65) { ! in( X, skol15 ), ordinal
% 80.91/81.26 ( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (294) {G2,W5,D2,L2,V1,M2} R(198,2) { ! in( X, skol15 ),
% 80.91/81.26 epsilon_transitive( X ) }.
% 80.91/81.26 parent0: (107152) {G1,W5,D2,L2,V1,M2} { epsilon_transitive( X ), ! in( X,
% 80.91/81.26 skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 1
% 80.91/81.26 1 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107153) {G1,W6,D3,L2,V1,M2} { empty( X ), in( skol2( X ), X )
% 80.91/81.26 }.
% 80.91/81.26 parent0[0]: (64) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in
% 80.91/81.26 ( X, Y ) }.
% 80.91/81.26 parent1[0]: (15) {G0,W4,D3,L1,V1,M1} I { element( skol2( X ), X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol2( X )
% 80.91/81.26 Y := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (306) {G1,W6,D3,L2,V1,M2} R(64,15) { empty( X ), in( skol2( X
% 80.91/81.26 ), X ) }.
% 80.91/81.26 parent0: (107153) {G1,W6,D3,L2,V1,M2} { empty( X ), in( skol2( X ), X )
% 80.91/81.26 }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107154) {G1,W16,D3,L6,V1,M6} { ! ordinal( X ), !
% 80.91/81.26 ordinal_subset( X, skol18( X ) ), ! ordinal( X ), ! ordinal( skol17 ), X
% 80.91/81.26 = skol17, in( skol17, X ) }.
% 80.91/81.26 parent0[1]: (70) {G0,W9,D3,L3,V1,M3} I { ! ordinal( X ), ! in( X, skol17 )
% 80.91/81.26 , ! ordinal_subset( X, skol18( X ) ) }.
% 80.91/81.26 parent1[2]: (63) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ),
% 80.91/81.26 in( X, Y ), X = Y, in( Y, X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 Y := skol17
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 factor: (107159) {G1,W14,D3,L5,V1,M5} { ! ordinal( X ), ! ordinal_subset(
% 80.91/81.26 X, skol18( X ) ), ! ordinal( skol17 ), X = skol17, in( skol17, X ) }.
% 80.91/81.26 parent0[0, 2]: (107154) {G1,W16,D3,L6,V1,M6} { ! ordinal( X ), !
% 80.91/81.26 ordinal_subset( X, skol18( X ) ), ! ordinal( X ), ! ordinal( skol17 ), X
% 80.91/81.26 = skol17, in( skol17, X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (434) {G1,W14,D3,L5,V1,M5} R(70,63);f { ! ordinal( X ), !
% 80.91/81.26 ordinal_subset( X, skol18( X ) ), ! ordinal( skol17 ), X = skol17, in(
% 80.91/81.26 skol17, X ) }.
% 80.91/81.26 parent0: (107159) {G1,W14,D3,L5,V1,M5} { ! ordinal( X ), ! ordinal_subset
% 80.91/81.26 ( X, skol18( X ) ), ! ordinal( skol17 ), X = skol17, in( skol17, X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 3 ==> 3
% 80.91/81.26 4 ==> 4
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 eqswap: (107161) {G0,W3,D2,L1,V0,M1} { ! empty_set ==> skol17 }.
% 80.91/81.26 parent0[0]: (67) {G0,W3,D2,L1,V0,M1} I { ! skol17 ==> empty_set }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 paramod: (107165) {G1,W5,D2,L2,V0,M2} { ! empty_set ==> empty_set, ! empty
% 80.91/81.26 ( skol17 ) }.
% 80.91/81.26 parent0[1]: (75) {G0,W5,D2,L2,V1,M2} I { ! empty( X ), X = empty_set }.
% 80.91/81.26 parent1[0; 3]: (107161) {G0,W3,D2,L1,V0,M1} { ! empty_set ==> skol17 }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol17
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 eqrefl: (107176) {G0,W2,D2,L1,V0,M1} { ! empty( skol17 ) }.
% 80.91/81.26 parent0[0]: (107165) {G1,W5,D2,L2,V0,M2} { ! empty_set ==> empty_set, !
% 80.91/81.26 empty( skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (474) {G1,W2,D2,L1,V0,M1} P(75,67);q { ! empty( skol17 ) }.
% 80.91/81.26 parent0: (107176) {G0,W2,D2,L1,V0,M1} { ! empty( skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107177) {G1,W4,D3,L1,V0,M1} { element( skol17, powerset(
% 80.91/81.26 skol15 ) ) }.
% 80.91/81.26 parent0[0]: (72) {G0,W7,D3,L2,V2,M2} I { ! subset( X, Y ), element( X,
% 80.91/81.26 powerset( Y ) ) }.
% 80.91/81.26 parent1[0]: (66) {G0,W3,D2,L1,V0,M1} I { subset( skol17, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol17
% 80.91/81.26 Y := skol15
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (487) {G1,W4,D3,L1,V0,M1} R(72,66) { element( skol17, powerset
% 80.91/81.26 ( skol15 ) ) }.
% 80.91/81.26 parent0: (107177) {G1,W4,D3,L1,V0,M1} { element( skol17, powerset( skol15
% 80.91/81.26 ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107178) {G1,W4,D3,L1,V1,M1} { element( X, powerset( X ) ) }.
% 80.91/81.26 parent0[0]: (72) {G0,W7,D3,L2,V2,M2} I { ! subset( X, Y ), element( X,
% 80.91/81.26 powerset( Y ) ) }.
% 80.91/81.26 parent1[0]: (60) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (489) {G1,W4,D3,L1,V1,M1} R(72,60) { element( X, powerset( X )
% 80.91/81.26 ) }.
% 80.91/81.26 parent0: (107178) {G1,W4,D3,L1,V1,M1} { element( X, powerset( X ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107179) {G1,W6,D2,L2,V1,M2} { ! element( X, skol17 ), in( X,
% 80.91/81.26 skol17 ) }.
% 80.91/81.26 parent0[0]: (474) {G1,W2,D2,L1,V0,M1} P(75,67);q { ! empty( skol17 ) }.
% 80.91/81.26 parent1[1]: (64) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in
% 80.91/81.26 ( X, Y ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 Y := skol17
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (494) {G2,W6,D2,L2,V1,M2} R(474,64) { ! element( X, skol17 ),
% 80.91/81.26 in( X, skol17 ) }.
% 80.91/81.26 parent0: (107179) {G1,W6,D2,L2,V1,M2} { ! element( X, skol17 ), in( X,
% 80.91/81.26 skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107180) {G1,W5,D2,L2,V1,M2} { ! in( X, skol17 ), ! empty(
% 80.91/81.26 skol15 ) }.
% 80.91/81.26 parent0[1]: (74) {G0,W9,D3,L3,V3,M3} I { ! in( X, Y ), ! element( Y,
% 80.91/81.26 powerset( Z ) ), ! empty( Z ) }.
% 80.91/81.26 parent1[0]: (487) {G1,W4,D3,L1,V0,M1} R(72,66) { element( skol17, powerset
% 80.91/81.26 ( skol15 ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := skol17
% 80.91/81.26 Z := skol15
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (539) {G2,W5,D2,L2,V1,M2} R(487,74) { ! in( X, skol17 ), !
% 80.91/81.26 empty( skol15 ) }.
% 80.91/81.26 parent0: (107180) {G1,W5,D2,L2,V1,M2} { ! in( X, skol17 ), ! empty( skol15
% 80.91/81.26 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107181) {G1,W6,D2,L2,V1,M2} { ! in( X, skol17 ), element( X,
% 80.91/81.26 skol15 ) }.
% 80.91/81.26 parent0[1]: (73) {G0,W10,D3,L3,V3,M3} I { ! in( X, Z ), ! element( Z,
% 80.91/81.26 powerset( Y ) ), element( X, Y ) }.
% 80.91/81.26 parent1[0]: (487) {G1,W4,D3,L1,V0,M1} R(72,66) { element( skol17, powerset
% 80.91/81.26 ( skol15 ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := skol15
% 80.91/81.26 Z := skol17
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (540) {G2,W6,D2,L2,V1,M2} R(487,73) { ! in( X, skol17 ),
% 80.91/81.26 element( X, skol15 ) }.
% 80.91/81.26 parent0: (107181) {G1,W6,D2,L2,V1,M2} { ! in( X, skol17 ), element( X,
% 80.91/81.26 skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107182) {G1,W7,D2,L3,V1,M3} { ! empty( skol15 ), ! element( X
% 80.91/81.26 , skol17 ), empty( skol17 ) }.
% 80.91/81.26 parent0[0]: (539) {G2,W5,D2,L2,V1,M2} R(487,74) { ! in( X, skol17 ), !
% 80.91/81.26 empty( skol15 ) }.
% 80.91/81.26 parent1[2]: (64) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in
% 80.91/81.26 ( X, Y ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 Y := skol17
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107184) {G2,W5,D2,L2,V1,M2} { ! empty( skol15 ), ! element( X
% 80.91/81.26 , skol17 ) }.
% 80.91/81.26 parent0[0]: (474) {G1,W2,D2,L1,V0,M1} P(75,67);q { ! empty( skol17 ) }.
% 80.91/81.26 parent1[2]: (107182) {G1,W7,D2,L3,V1,M3} { ! empty( skol15 ), ! element( X
% 80.91/81.26 , skol17 ), empty( skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (547) {G3,W5,D2,L2,V1,M2} R(539,64);r(474) { ! empty( skol15 )
% 80.91/81.26 , ! element( X, skol17 ) }.
% 80.91/81.26 parent0: (107184) {G2,W5,D2,L2,V1,M2} { ! empty( skol15 ), ! element( X,
% 80.91/81.26 skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107185) {G1,W2,D2,L1,V0,M1} { ! empty( skol15 ) }.
% 80.91/81.26 parent0[1]: (547) {G3,W5,D2,L2,V1,M2} R(539,64);r(474) { ! empty( skol15 )
% 80.91/81.26 , ! element( X, skol17 ) }.
% 80.91/81.26 parent1[0]: (15) {G0,W4,D3,L1,V1,M1} I { element( skol2( X ), X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol2( skol17 )
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := skol17
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (562) {G4,W2,D2,L1,V0,M1} R(547,15) { ! empty( skol15 ) }.
% 80.91/81.26 parent0: (107185) {G1,W2,D2,L1,V0,M1} { ! empty( skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107186) {G1,W6,D2,L2,V1,M2} { ! element( X, skol15 ), in( X,
% 80.91/81.26 skol15 ) }.
% 80.91/81.26 parent0[0]: (562) {G4,W2,D2,L1,V0,M1} R(547,15) { ! empty( skol15 ) }.
% 80.91/81.26 parent1[1]: (64) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in
% 80.91/81.26 ( X, Y ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 Y := skol15
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (588) {G5,W6,D2,L2,V1,M2} R(562,64) { ! element( X, skol15 ),
% 80.91/81.26 in( X, skol15 ) }.
% 80.91/81.26 parent0: (107186) {G1,W6,D2,L2,V1,M2} { ! element( X, skol15 ), in( X,
% 80.91/81.26 skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107187) {G3,W5,D2,L2,V1,M2} { epsilon_transitive( X ), !
% 80.91/81.26 element( X, skol15 ) }.
% 80.91/81.26 parent0[0]: (294) {G2,W5,D2,L2,V1,M2} R(198,2) { ! in( X, skol15 ),
% 80.91/81.26 epsilon_transitive( X ) }.
% 80.91/81.26 parent1[1]: (588) {G5,W6,D2,L2,V1,M2} R(562,64) { ! element( X, skol15 ),
% 80.91/81.26 in( X, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (630) {G6,W5,D2,L2,V1,M2} R(588,294) { ! element( X, skol15 )
% 80.91/81.26 , epsilon_transitive( X ) }.
% 80.91/81.26 parent0: (107187) {G3,W5,D2,L2,V1,M2} { epsilon_transitive( X ), ! element
% 80.91/81.26 ( X, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 1
% 80.91/81.26 1 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107188) {G3,W5,D2,L2,V1,M2} { epsilon_connected( X ), !
% 80.91/81.26 element( X, skol15 ) }.
% 80.91/81.26 parent0[0]: (293) {G2,W5,D2,L2,V1,M2} R(198,3) { ! in( X, skol15 ),
% 80.91/81.26 epsilon_connected( X ) }.
% 80.91/81.26 parent1[1]: (588) {G5,W6,D2,L2,V1,M2} R(562,64) { ! element( X, skol15 ),
% 80.91/81.26 in( X, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (631) {G6,W5,D2,L2,V1,M2} R(588,293) { ! element( X, skol15 )
% 80.91/81.26 , epsilon_connected( X ) }.
% 80.91/81.26 parent0: (107188) {G3,W5,D2,L2,V1,M2} { epsilon_connected( X ), ! element
% 80.91/81.26 ( X, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 1
% 80.91/81.26 1 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107189) {G2,W5,D2,L2,V1,M2} { ordinal( X ), ! element( X,
% 80.91/81.26 skol15 ) }.
% 80.91/81.26 parent0[0]: (198) {G1,W5,D2,L2,V1,M2} R(62,65) { ! in( X, skol15 ), ordinal
% 80.91/81.26 ( X ) }.
% 80.91/81.26 parent1[1]: (588) {G5,W6,D2,L2,V1,M2} R(562,64) { ! element( X, skol15 ),
% 80.91/81.26 in( X, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (632) {G6,W5,D2,L2,V1,M2} R(588,198) { ! element( X, skol15 )
% 80.91/81.26 , ordinal( X ) }.
% 80.91/81.26 parent0: (107189) {G2,W5,D2,L2,V1,M2} { ordinal( X ), ! element( X, skol15
% 80.91/81.26 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 1
% 80.91/81.26 1 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107190) {G1,W4,D3,L1,V0,M1} { in( skol2( skol15 ), skol15 )
% 80.91/81.26 }.
% 80.91/81.26 parent0[0]: (588) {G5,W6,D2,L2,V1,M2} R(562,64) { ! element( X, skol15 ),
% 80.91/81.26 in( X, skol15 ) }.
% 80.91/81.26 parent1[0]: (15) {G0,W4,D3,L1,V1,M1} I { element( skol2( X ), X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol2( skol15 )
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := skol15
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (633) {G6,W4,D3,L1,V0,M1} R(588,15) { in( skol2( skol15 ),
% 80.91/81.26 skol15 ) }.
% 80.91/81.26 parent0: (107190) {G1,W4,D3,L1,V0,M1} { in( skol2( skol15 ), skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107191) {G2,W7,D3,L2,V1,M2} { ! in( X, skol16( skol15 ) ), !
% 80.91/81.26 element( X, skol15 ) }.
% 80.91/81.26 parent0[0]: (82) {G1,W7,D3,L2,V2,M2} F(78) { ! in( X, Y ), ! in( X, skol16
% 80.91/81.26 ( Y ) ) }.
% 80.91/81.26 parent1[1]: (588) {G5,W6,D2,L2,V1,M2} R(562,64) { ! element( X, skol15 ),
% 80.91/81.26 in( X, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := skol15
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (638) {G6,W7,D3,L2,V1,M2} R(82,588) { ! in( X, skol16( skol15
% 80.91/81.26 ) ), ! element( X, skol15 ) }.
% 80.91/81.26 parent0: (107191) {G2,W7,D3,L2,V1,M2} { ! in( X, skol16( skol15 ) ), !
% 80.91/81.26 element( X, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107192) {G1,W4,D3,L1,V0,M1} { in( skol16( skol15 ), skol15 )
% 80.91/81.26 }.
% 80.91/81.26 parent0[0]: (77) {G0,W7,D3,L2,V2,M2} I { ! in( X, Y ), in( skol16( Y ), Y )
% 80.91/81.26 }.
% 80.91/81.26 parent1[0]: (633) {G6,W4,D3,L1,V0,M1} R(588,15) { in( skol2( skol15 ),
% 80.91/81.26 skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol2( skol15 )
% 80.91/81.26 Y := skol15
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (647) {G7,W4,D3,L1,V0,M1} R(633,77) { in( skol16( skol15 ),
% 80.91/81.26 skol15 ) }.
% 80.91/81.26 parent0: (107192) {G1,W4,D3,L1,V0,M1} { in( skol16( skol15 ), skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107193) {G2,W3,D3,L1,V0,M1} { ordinal( skol16( skol15 ) ) }.
% 80.91/81.26 parent0[0]: (198) {G1,W5,D2,L2,V1,M2} R(62,65) { ! in( X, skol15 ), ordinal
% 80.91/81.26 ( X ) }.
% 80.91/81.26 parent1[0]: (647) {G7,W4,D3,L1,V0,M1} R(633,77) { in( skol16( skol15 ),
% 80.91/81.26 skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol16( skol15 )
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (691) {G8,W3,D3,L1,V0,M1} R(647,198) { ordinal( skol16( skol15
% 80.91/81.26 ) ) }.
% 80.91/81.26 parent0: (107193) {G2,W3,D3,L1,V0,M1} { ordinal( skol16( skol15 ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107194) {G1,W6,D3,L2,V0,M2} { ! epsilon_transitive( skol15 )
% 80.91/81.26 , subset( skol16( skol15 ), skol15 ) }.
% 80.91/81.26 parent0[1]: (11) {G0,W8,D2,L3,V2,M3} I { ! epsilon_transitive( X ), ! in( Y
% 80.91/81.26 , X ), subset( Y, X ) }.
% 80.91/81.26 parent1[0]: (647) {G7,W4,D3,L1,V0,M1} R(633,77) { in( skol16( skol15 ),
% 80.91/81.26 skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol15
% 80.91/81.26 Y := skol16( skol15 )
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107195) {G2,W4,D3,L1,V0,M1} { subset( skol16( skol15 ),
% 80.91/81.26 skol15 ) }.
% 80.91/81.26 parent0[0]: (107194) {G1,W6,D3,L2,V0,M2} { ! epsilon_transitive( skol15 )
% 80.91/81.26 , subset( skol16( skol15 ), skol15 ) }.
% 80.91/81.26 parent1[0]: (83) {G1,W2,D2,L1,V0,M1} R(2,65) { epsilon_transitive( skol15 )
% 80.91/81.26 }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (693) {G8,W4,D3,L1,V0,M1} R(647,11);r(83) { subset( skol16(
% 80.91/81.26 skol15 ), skol15 ) }.
% 80.91/81.26 parent0: (107195) {G2,W4,D3,L1,V0,M1} { subset( skol16( skol15 ), skol15 )
% 80.91/81.26 }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107196) {G1,W5,D3,L1,V0,M1} { element( skol16( skol15 ),
% 80.91/81.26 powerset( skol15 ) ) }.
% 80.91/81.26 parent0[0]: (72) {G0,W7,D3,L2,V2,M2} I { ! subset( X, Y ), element( X,
% 80.91/81.26 powerset( Y ) ) }.
% 80.91/81.26 parent1[0]: (693) {G8,W4,D3,L1,V0,M1} R(647,11);r(83) { subset( skol16(
% 80.91/81.26 skol15 ), skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol16( skol15 )
% 80.91/81.26 Y := skol15
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (716) {G9,W5,D3,L1,V0,M1} R(693,72) { element( skol16( skol15
% 80.91/81.26 ), powerset( skol15 ) ) }.
% 80.91/81.26 parent0: (107196) {G1,W5,D3,L1,V0,M1} { element( skol16( skol15 ),
% 80.91/81.26 powerset( skol15 ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107197) {G1,W10,D3,L3,V1,M3} { ! in( X, skol17 ), !
% 80.91/81.26 ordinal_subset( X, skol18( X ) ), ! element( X, skol15 ) }.
% 80.91/81.26 parent0[0]: (70) {G0,W9,D3,L3,V1,M3} I { ! ordinal( X ), ! in( X, skol17 )
% 80.91/81.26 , ! ordinal_subset( X, skol18( X ) ) }.
% 80.91/81.26 parent1[1]: (632) {G6,W5,D2,L2,V1,M2} R(588,198) { ! element( X, skol15 ),
% 80.91/81.26 ordinal( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107198) {G2,W10,D3,L3,V1,M3} { ! in( X, skol17 ), !
% 80.91/81.26 ordinal_subset( X, skol18( X ) ), ! in( X, skol17 ) }.
% 80.91/81.26 parent0[2]: (107197) {G1,W10,D3,L3,V1,M3} { ! in( X, skol17 ), !
% 80.91/81.26 ordinal_subset( X, skol18( X ) ), ! element( X, skol15 ) }.
% 80.91/81.26 parent1[1]: (540) {G2,W6,D2,L2,V1,M2} R(487,73) { ! in( X, skol17 ),
% 80.91/81.26 element( X, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 factor: (107199) {G2,W7,D3,L2,V1,M2} { ! in( X, skol17 ), ! ordinal_subset
% 80.91/81.26 ( X, skol18( X ) ) }.
% 80.91/81.26 parent0[0, 2]: (107198) {G2,W10,D3,L3,V1,M3} { ! in( X, skol17 ), !
% 80.91/81.26 ordinal_subset( X, skol18( X ) ), ! in( X, skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (764) {G7,W7,D3,L2,V1,M2} R(632,70);r(540) { ! in( X, skol17 )
% 80.91/81.26 , ! ordinal_subset( X, skol18( X ) ) }.
% 80.91/81.26 parent0: (107199) {G2,W7,D3,L2,V1,M2} { ! in( X, skol17 ), !
% 80.91/81.26 ordinal_subset( X, skol18( X ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107200) {G1,W10,D3,L3,V2,M3} { ! in( X, skol17 ), in( skol18
% 80.91/81.26 ( Y ), skol17 ), ! element( X, skol15 ) }.
% 80.91/81.26 parent0[0]: (69) {G0,W9,D3,L3,V2,M3} I { ! ordinal( X ), ! in( X, skol17 )
% 80.91/81.26 , in( skol18( Y ), skol17 ) }.
% 80.91/81.26 parent1[1]: (632) {G6,W5,D2,L2,V1,M2} R(588,198) { ! element( X, skol15 ),
% 80.91/81.26 ordinal( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107201) {G2,W10,D3,L3,V2,M3} { ! in( X, skol17 ), in( skol18
% 80.91/81.26 ( Y ), skol17 ), ! in( X, skol17 ) }.
% 80.91/81.26 parent0[2]: (107200) {G1,W10,D3,L3,V2,M3} { ! in( X, skol17 ), in( skol18
% 80.91/81.26 ( Y ), skol17 ), ! element( X, skol15 ) }.
% 80.91/81.26 parent1[1]: (540) {G2,W6,D2,L2,V1,M2} R(487,73) { ! in( X, skol17 ),
% 80.91/81.26 element( X, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 factor: (107202) {G2,W7,D3,L2,V2,M2} { ! in( X, skol17 ), in( skol18( Y )
% 80.91/81.26 , skol17 ) }.
% 80.91/81.26 parent0[0, 2]: (107201) {G2,W10,D3,L3,V2,M3} { ! in( X, skol17 ), in(
% 80.91/81.26 skol18( Y ), skol17 ), ! in( X, skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (765) {G7,W7,D3,L2,V2,M2} R(632,69);r(540) { ! in( X, skol17 )
% 80.91/81.26 , in( skol18( Y ), skol17 ) }.
% 80.91/81.26 parent0: (107202) {G2,W7,D3,L2,V2,M2} { ! in( X, skol17 ), in( skol18( Y )
% 80.91/81.26 , skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107203) {G1,W7,D3,L2,V1,M2} { ! in( X, skol16( skol15 ) ),
% 80.91/81.26 element( X, skol15 ) }.
% 80.91/81.26 parent0[1]: (73) {G0,W10,D3,L3,V3,M3} I { ! in( X, Z ), ! element( Z,
% 80.91/81.26 powerset( Y ) ), element( X, Y ) }.
% 80.91/81.26 parent1[0]: (716) {G9,W5,D3,L1,V0,M1} R(693,72) { element( skol16( skol15 )
% 80.91/81.26 , powerset( skol15 ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := skol15
% 80.91/81.26 Z := skol16( skol15 )
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107204) {G2,W8,D3,L2,V1,M2} { ! in( X, skol16( skol15 ) ), !
% 80.91/81.26 in( X, skol16( skol15 ) ) }.
% 80.91/81.26 parent0[1]: (638) {G6,W7,D3,L2,V1,M2} R(82,588) { ! in( X, skol16( skol15 )
% 80.91/81.26 ), ! element( X, skol15 ) }.
% 80.91/81.26 parent1[1]: (107203) {G1,W7,D3,L2,V1,M2} { ! in( X, skol16( skol15 ) ),
% 80.91/81.26 element( X, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 factor: (107205) {G2,W4,D3,L1,V1,M1} { ! in( X, skol16( skol15 ) ) }.
% 80.91/81.26 parent0[0, 1]: (107204) {G2,W8,D3,L2,V1,M2} { ! in( X, skol16( skol15 ) )
% 80.91/81.26 , ! in( X, skol16( skol15 ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (783) {G10,W4,D3,L1,V1,M1} R(716,73);r(638) { ! in( X, skol16
% 80.91/81.26 ( skol15 ) ) }.
% 80.91/81.26 parent0: (107205) {G2,W4,D3,L1,V1,M1} { ! in( X, skol16( skol15 ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107206) {G3,W5,D2,L2,V1,M2} { ordinal( X ), ! in( X, skol17 )
% 80.91/81.26 }.
% 80.91/81.26 parent0[0]: (632) {G6,W5,D2,L2,V1,M2} R(588,198) { ! element( X, skol15 ),
% 80.91/81.26 ordinal( X ) }.
% 80.91/81.26 parent1[1]: (540) {G2,W6,D2,L2,V1,M2} R(487,73) { ! in( X, skol17 ),
% 80.91/81.26 element( X, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (825) {G7,W5,D2,L2,V1,M2} R(540,632) { ! in( X, skol17 ),
% 80.91/81.26 ordinal( X ) }.
% 80.91/81.26 parent0: (107206) {G3,W5,D2,L2,V1,M2} { ordinal( X ), ! in( X, skol17 )
% 80.91/81.26 }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 1
% 80.91/81.26 1 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107207) {G3,W5,D2,L2,V1,M2} { epsilon_connected( X ), ! in( X
% 80.91/81.26 , skol17 ) }.
% 80.91/81.26 parent0[0]: (631) {G6,W5,D2,L2,V1,M2} R(588,293) { ! element( X, skol15 ),
% 80.91/81.26 epsilon_connected( X ) }.
% 80.91/81.26 parent1[1]: (540) {G2,W6,D2,L2,V1,M2} R(487,73) { ! in( X, skol17 ),
% 80.91/81.26 element( X, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (826) {G7,W5,D2,L2,V1,M2} R(540,631) { ! in( X, skol17 ),
% 80.91/81.26 epsilon_connected( X ) }.
% 80.91/81.26 parent0: (107207) {G3,W5,D2,L2,V1,M2} { epsilon_connected( X ), ! in( X,
% 80.91/81.26 skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 1
% 80.91/81.26 1 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107208) {G3,W5,D2,L2,V1,M2} { epsilon_transitive( X ), ! in(
% 80.91/81.26 X, skol17 ) }.
% 80.91/81.26 parent0[0]: (630) {G6,W5,D2,L2,V1,M2} R(588,294) { ! element( X, skol15 ),
% 80.91/81.26 epsilon_transitive( X ) }.
% 80.91/81.26 parent1[1]: (540) {G2,W6,D2,L2,V1,M2} R(487,73) { ! in( X, skol17 ),
% 80.91/81.26 element( X, skol15 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (827) {G7,W5,D2,L2,V1,M2} R(540,630) { ! in( X, skol17 ),
% 80.91/81.26 epsilon_transitive( X ) }.
% 80.91/81.26 parent0: (107208) {G3,W5,D2,L2,V1,M2} { epsilon_transitive( X ), ! in( X,
% 80.91/81.26 skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 1
% 80.91/81.26 1 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107209) {G1,W8,D3,L3,V2,M3} { epsilon_connected( skol18( X )
% 80.91/81.26 ), ! ordinal( Y ), ! in( Y, skol17 ) }.
% 80.91/81.26 parent0[0]: (826) {G7,W5,D2,L2,V1,M2} R(540,631) { ! in( X, skol17 ),
% 80.91/81.26 epsilon_connected( X ) }.
% 80.91/81.26 parent1[2]: (69) {G0,W9,D3,L3,V2,M3} I { ! ordinal( X ), ! in( X, skol17 )
% 80.91/81.26 , in( skol18( Y ), skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol18( X )
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := Y
% 80.91/81.26 Y := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107210) {G2,W9,D3,L3,V2,M3} { epsilon_connected( skol18( X )
% 80.91/81.26 ), ! in( Y, skol17 ), ! in( Y, skol17 ) }.
% 80.91/81.26 parent0[1]: (107209) {G1,W8,D3,L3,V2,M3} { epsilon_connected( skol18( X )
% 80.91/81.26 ), ! ordinal( Y ), ! in( Y, skol17 ) }.
% 80.91/81.26 parent1[1]: (825) {G7,W5,D2,L2,V1,M2} R(540,632) { ! in( X, skol17 ),
% 80.91/81.26 ordinal( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := Y
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 factor: (107211) {G2,W6,D3,L2,V2,M2} { epsilon_connected( skol18( X ) ), !
% 80.91/81.26 in( Y, skol17 ) }.
% 80.91/81.26 parent0[1, 2]: (107210) {G2,W9,D3,L3,V2,M3} { epsilon_connected( skol18( X
% 80.91/81.26 ) ), ! in( Y, skol17 ), ! in( Y, skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (929) {G8,W6,D3,L2,V2,M2} R(826,69);r(825) { epsilon_connected
% 80.91/81.26 ( skol18( X ) ), ! in( Y, skol17 ) }.
% 80.91/81.26 parent0: (107211) {G2,W6,D3,L2,V2,M2} { epsilon_connected( skol18( X ) ),
% 80.91/81.26 ! in( Y, skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107212) {G1,W8,D3,L3,V2,M3} { epsilon_transitive( skol18( X )
% 80.91/81.26 ), ! ordinal( Y ), ! in( Y, skol17 ) }.
% 80.91/81.26 parent0[0]: (827) {G7,W5,D2,L2,V1,M2} R(540,630) { ! in( X, skol17 ),
% 80.91/81.26 epsilon_transitive( X ) }.
% 80.91/81.26 parent1[2]: (69) {G0,W9,D3,L3,V2,M3} I { ! ordinal( X ), ! in( X, skol17 )
% 80.91/81.26 , in( skol18( Y ), skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol18( X )
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := Y
% 80.91/81.26 Y := X
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107213) {G2,W9,D3,L3,V2,M3} { epsilon_transitive( skol18( X )
% 80.91/81.26 ), ! in( Y, skol17 ), ! in( Y, skol17 ) }.
% 80.91/81.26 parent0[1]: (107212) {G1,W8,D3,L3,V2,M3} { epsilon_transitive( skol18( X )
% 80.91/81.26 ), ! ordinal( Y ), ! in( Y, skol17 ) }.
% 80.91/81.26 parent1[1]: (825) {G7,W5,D2,L2,V1,M2} R(540,632) { ! in( X, skol17 ),
% 80.91/81.26 ordinal( X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := Y
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 factor: (107214) {G2,W6,D3,L2,V2,M2} { epsilon_transitive( skol18( X ) ),
% 80.91/81.26 ! in( Y, skol17 ) }.
% 80.91/81.26 parent0[1, 2]: (107213) {G2,W9,D3,L3,V2,M3} { epsilon_transitive( skol18(
% 80.91/81.26 X ) ), ! in( Y, skol17 ), ! in( Y, skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (932) {G8,W6,D3,L2,V2,M2} R(827,69);r(825) {
% 80.91/81.26 epsilon_transitive( skol18( X ) ), ! in( Y, skol17 ) }.
% 80.91/81.26 parent0: (107214) {G2,W6,D3,L2,V2,M2} { epsilon_transitive( skol18( X ) )
% 80.91/81.26 , ! in( Y, skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := Y
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107215) {G1,W4,D3,L1,V0,M1} { in( skol2( skol17 ), skol17 )
% 80.91/81.26 }.
% 80.91/81.26 parent0[0]: (494) {G2,W6,D2,L2,V1,M2} R(474,64) { ! element( X, skol17 ),
% 80.91/81.26 in( X, skol17 ) }.
% 80.91/81.26 parent1[0]: (15) {G0,W4,D3,L1,V1,M1} I { element( skol2( X ), X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol2( skol17 )
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 X := skol17
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (1064) {G3,W4,D3,L1,V0,M1} R(494,15) { in( skol2( skol17 ),
% 80.91/81.26 skol17 ) }.
% 80.91/81.26 parent0: (107215) {G1,W4,D3,L1,V0,M1} { in( skol2( skol17 ), skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107216) {G1,W4,D3,L1,V0,M1} { in( skol16( skol17 ), skol17 )
% 80.91/81.26 }.
% 80.91/81.26 parent0[0]: (77) {G0,W7,D3,L2,V2,M2} I { ! in( X, Y ), in( skol16( Y ), Y )
% 80.91/81.26 }.
% 80.91/81.26 parent1[0]: (1064) {G3,W4,D3,L1,V0,M1} R(494,15) { in( skol2( skol17 ),
% 80.91/81.26 skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol2( skol17 )
% 80.91/81.26 Y := skol17
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (1068) {G4,W4,D3,L1,V0,M1} R(1064,77) { in( skol16( skol17 ),
% 80.91/81.26 skol17 ) }.
% 80.91/81.26 parent0: (107216) {G1,W4,D3,L1,V0,M1} { in( skol16( skol17 ), skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107217) {G5,W3,D3,L1,V0,M1} { ordinal( skol16( skol17 ) ) }.
% 80.91/81.26 parent0[0]: (825) {G7,W5,D2,L2,V1,M2} R(540,632) { ! in( X, skol17 ),
% 80.91/81.26 ordinal( X ) }.
% 80.91/81.26 parent1[0]: (1068) {G4,W4,D3,L1,V0,M1} R(1064,77) { in( skol16( skol17 ),
% 80.91/81.26 skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol16( skol17 )
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (1085) {G8,W3,D3,L1,V0,M1} R(1068,825) { ordinal( skol16(
% 80.91/81.26 skol17 ) ) }.
% 80.91/81.26 parent0: (107217) {G5,W3,D3,L1,V0,M1} { ordinal( skol16( skol17 ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107218) {G1,W14,D3,L4,V1,M4} { ! ordinal( X ), in( skol16(
% 80.91/81.26 skol17 ), X ), skol16( skol17 ) = X, in( X, skol16( skol17 ) ) }.
% 80.91/81.26 parent0[0]: (63) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ),
% 80.91/81.26 in( X, Y ), X = Y, in( Y, X ) }.
% 80.91/81.26 parent1[0]: (1085) {G8,W3,D3,L1,V0,M1} R(1068,825) { ordinal( skol16(
% 80.91/81.26 skol17 ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol16( skol17 )
% 80.91/81.26 Y := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (1102) {G9,W14,D3,L4,V1,M4} R(1085,63) { ! ordinal( X ), in(
% 80.91/81.26 skol16( skol17 ), X ), skol16( skol17 ) = X, in( X, skol16( skol17 ) )
% 80.91/81.26 }.
% 80.91/81.26 parent0: (107218) {G1,W14,D3,L4,V1,M4} { ! ordinal( X ), in( skol16(
% 80.91/81.26 skol17 ), X ), skol16( skol17 ) = X, in( X, skol16( skol17 ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 3 ==> 3
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107221) {G1,W10,D3,L3,V1,M3} { ! ordinal( X ), ! subset(
% 80.91/81.26 skol16( skol17 ), X ), ordinal_subset( skol16( skol17 ), X ) }.
% 80.91/81.26 parent0[0]: (58) {G0,W10,D2,L4,V2,M4} I { ! ordinal( X ), ! ordinal( Y ), !
% 80.91/81.26 subset( X, Y ), ordinal_subset( X, Y ) }.
% 80.91/81.26 parent1[0]: (1085) {G8,W3,D3,L1,V0,M1} R(1068,825) { ordinal( skol16(
% 80.91/81.26 skol17 ) ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := skol16( skol17 )
% 80.91/81.26 Y := X
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (1104) {G9,W10,D3,L3,V1,M3} R(1085,58) { ! ordinal( X ), !
% 80.91/81.26 subset( skol16( skol17 ), X ), ordinal_subset( skol16( skol17 ), X ) }.
% 80.91/81.26 parent0: (107221) {G1,W10,D3,L3,V1,M3} { ! ordinal( X ), ! subset( skol16
% 80.91/81.26 ( skol17 ), X ), ordinal_subset( skol16( skol17 ), X ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 1 ==> 1
% 80.91/81.26 2 ==> 2
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107223) {G5,W3,D3,L1,V1,M1} { epsilon_transitive( skol18( X )
% 80.91/81.26 ) }.
% 80.91/81.26 parent0[1]: (932) {G8,W6,D3,L2,V2,M2} R(827,69);r(825) { epsilon_transitive
% 80.91/81.26 ( skol18( X ) ), ! in( Y, skol17 ) }.
% 80.91/81.26 parent1[0]: (1068) {G4,W4,D3,L1,V0,M1} R(1064,77) { in( skol16( skol17 ),
% 80.91/81.26 skol17 ) }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 Y := skol16( skol17 )
% 80.91/81.26 end
% 80.91/81.26 substitution1:
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 subsumption: (2523) {G9,W3,D3,L1,V1,M1} R(932,1068) { epsilon_transitive(
% 80.91/81.26 skol18( X ) ) }.
% 80.91/81.26 parent0: (107223) {G5,W3,D3,L1,V1,M1} { epsilon_transitive( skol18( X ) )
% 80.91/81.26 }.
% 80.91/81.26 substitution0:
% 80.91/81.26 X := X
% 80.91/81.26 end
% 80.91/81.26 permutation0:
% 80.91/81.26 0 ==> 0
% 80.91/81.26 end
% 80.91/81.26
% 80.91/81.26 resolution: (107224) {G5,W3,D3,L1,V1,M1} { epsilon_connected( skol18( X )
% 80.91/81.26 ) }.
% 80.91/81.26 parent0[1]: (929) {G8,W6,D3,L2,V2,M2} R(826,69);r(825) { epsilon_connecteCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------