TSTP Solution File: SEU235+3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU235+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 07:11:45 EDT 2022
% Result : Theorem 76.15s 76.60s
% Output : Refutation 76.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU235+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.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 : Sat Jun 18 23:55:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.61/1.99 *** allocated 10000 integers for termspace/termends
% 1.61/1.99 *** allocated 10000 integers for clauses
% 1.61/1.99 *** allocated 10000 integers for justifications
% 1.61/1.99 Bliksem 1.12
% 1.61/1.99
% 1.61/1.99
% 1.61/1.99 Automatic Strategy Selection
% 1.61/1.99
% 1.61/1.99
% 1.61/1.99 Clauses:
% 1.61/1.99
% 1.61/1.99 { ! in( X, Y ), ! in( Y, X ) }.
% 1.61/1.99 { ! empty( X ), function( X ) }.
% 1.61/1.99 { ! ordinal( X ), epsilon_transitive( X ) }.
% 1.61/1.99 { ! ordinal( X ), epsilon_connected( X ) }.
% 1.61/1.99 { ! empty( X ), relation( X ) }.
% 1.61/1.99 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 1.61/1.99 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 1.61/1.99 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 1.61/1.99 { ! epsilon_transitive( X ), ! epsilon_connected( X ), ordinal( X ) }.
% 1.61/1.99 { ! empty( X ), epsilon_transitive( X ) }.
% 1.61/1.99 { ! empty( X ), epsilon_connected( X ) }.
% 1.61/1.99 { ! empty( X ), ordinal( X ) }.
% 1.61/1.99 { ! ordinal( X ), ! ordinal( Y ), ordinal_subset( X, Y ), ordinal_subset( Y
% 1.61/1.99 , X ) }.
% 1.61/1.99 { ! epsilon_transitive( X ), ! in( Y, X ), subset( Y, X ) }.
% 1.61/1.99 { in( skol1( X ), X ), epsilon_transitive( X ) }.
% 1.61/1.99 { ! subset( skol1( X ), X ), epsilon_transitive( X ) }.
% 1.61/1.99 { element( skol2( X ), X ) }.
% 1.61/1.99 { empty( empty_set ) }.
% 1.61/1.99 { relation( empty_set ) }.
% 1.61/1.99 { relation_empty_yielding( empty_set ) }.
% 1.61/1.99 { empty( empty_set ) }.
% 1.61/1.99 { relation( empty_set ) }.
% 1.61/1.99 { relation_empty_yielding( empty_set ) }.
% 1.61/1.99 { function( empty_set ) }.
% 1.61/1.99 { one_to_one( empty_set ) }.
% 1.61/1.99 { empty( empty_set ) }.
% 1.61/1.99 { epsilon_transitive( empty_set ) }.
% 1.61/1.99 { epsilon_connected( empty_set ) }.
% 1.61/1.99 { ordinal( empty_set ) }.
% 1.61/1.99 { empty( empty_set ) }.
% 1.61/1.99 { relation( empty_set ) }.
% 1.61/1.99 { relation( skol3 ) }.
% 1.61/1.99 { function( skol3 ) }.
% 1.61/1.99 { epsilon_transitive( skol4 ) }.
% 1.61/1.99 { epsilon_connected( skol4 ) }.
% 1.61/1.99 { ordinal( skol4 ) }.
% 1.61/1.99 { empty( skol5 ) }.
% 1.61/1.99 { relation( skol5 ) }.
% 1.61/1.99 { empty( skol6 ) }.
% 1.61/1.99 { relation( skol7 ) }.
% 1.61/1.99 { empty( skol7 ) }.
% 1.61/1.99 { function( skol7 ) }.
% 1.61/1.99 { relation( skol8 ) }.
% 1.61/1.99 { function( skol8 ) }.
% 1.61/1.99 { one_to_one( skol8 ) }.
% 1.61/1.99 { empty( skol8 ) }.
% 1.61/1.99 { epsilon_transitive( skol8 ) }.
% 1.61/1.99 { epsilon_connected( skol8 ) }.
% 1.61/1.99 { ordinal( skol8 ) }.
% 1.61/1.99 { ! empty( skol9 ) }.
% 1.61/1.99 { relation( skol9 ) }.
% 1.61/1.99 { ! empty( skol10 ) }.
% 1.61/1.99 { relation( skol11 ) }.
% 1.61/1.99 { function( skol11 ) }.
% 1.61/1.99 { one_to_one( skol11 ) }.
% 1.61/1.99 { ! empty( skol12 ) }.
% 1.61/1.99 { epsilon_transitive( skol12 ) }.
% 1.61/1.99 { epsilon_connected( skol12 ) }.
% 1.61/1.99 { ordinal( skol12 ) }.
% 1.61/1.99 { relation( skol13 ) }.
% 1.61/1.99 { relation_empty_yielding( skol13 ) }.
% 1.61/1.99 { relation( skol14 ) }.
% 1.61/1.99 { relation_empty_yielding( skol14 ) }.
% 1.61/1.99 { function( skol14 ) }.
% 1.61/1.99 { relation( skol15 ) }.
% 1.61/1.99 { relation_non_empty( skol15 ) }.
% 1.61/1.99 { function( skol15 ) }.
% 1.61/1.99 { ! ordinal( X ), ! ordinal( Y ), ! ordinal_subset( X, Y ), subset( X, Y )
% 1.61/1.99 }.
% 1.61/1.99 { ! ordinal( X ), ! ordinal( Y ), ! subset( X, Y ), ordinal_subset( X, Y )
% 1.61/1.99 }.
% 1.61/1.99 { ! ordinal( X ), ! ordinal( Y ), ordinal_subset( X, X ) }.
% 1.61/1.99 { subset( X, X ) }.
% 1.61/1.99 { ! in( X, Y ), element( X, Y ) }.
% 1.61/1.99 { ! ordinal( X ), ! in( Y, X ), ordinal( Y ) }.
% 1.61/1.99 { ! ordinal( X ), ! ordinal( Y ), in( X, Y ), X = Y, in( Y, X ) }.
% 1.61/1.99 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 1.61/1.99 { ordinal( skol16 ) }.
% 1.61/1.99 { subset( skol18, skol16 ) }.
% 1.61/1.99 { ! skol18 = empty_set }.
% 1.61/1.99 { ! ordinal( X ), ! in( X, skol18 ), ordinal( skol19( Y ) ) }.
% 1.61/1.99 { ! ordinal( X ), ! in( X, skol18 ), in( skol19( Y ), skol18 ) }.
% 1.61/1.99 { ! ordinal( X ), ! in( X, skol18 ), ! ordinal_subset( X, skol19( X ) ) }.
% 1.61/1.99 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 1.61/1.99 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 1.61/1.99 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 1.61/1.99 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 1.61/1.99 { ! empty( X ), X = empty_set }.
% 1.61/1.99 { ! in( X, Y ), ! empty( Y ) }.
% 1.61/1.99 { ! in( X, Y ), in( skol17( Y ), Y ) }.
% 1.61/1.99 { ! in( X, Y ), ! in( Z, Y ), ! in( Z, skol17( Y ) ) }.
% 1.61/1.99 { ! empty( X ), X = Y, ! empty( Y ) }.
% 1.61/1.99
% 1.61/1.99 percentage equality = 0.028986, percentage horn = 0.951220
% 1.61/1.99 This is a problem with some equality
% 1.61/1.99
% 1.61/1.99
% 1.61/1.99
% 1.61/1.99 Options Used:
% 1.61/1.99
% 1.61/1.99 useres = 1
% 1.61/1.99 useparamod = 1
% 1.61/1.99 useeqrefl = 1
% 1.61/1.99 useeqfact = 1
% 1.61/1.99 usefactor = 1
% 1.61/1.99 usesimpsplitting = 0
% 1.61/1.99 usesimpdemod = 5
% 1.61/1.99 usesimpres = 3
% 1.61/1.99
% 1.61/1.99 resimpinuse = 1000
% 1.61/1.99 resimpclauses = 20000
% 1.61/1.99 substype = eqrewr
% 1.61/1.99 backwardsubs = 1
% 1.61/1.99 selectoldest = 5
% 1.61/1.99
% 1.61/1.99 litorderings [0] = split
% 1.61/1.99 litorderings [1] = extend the termordering, first sorting on arguments
% 1.61/1.99
% 1.61/1.99 termordering = kbo
% 1.61/1.99
% 1.61/1.99 litapriori = 0
% 20.45/20.84 termapriori = 1
% 20.45/20.84 litaposteriori = 0
% 20.45/20.84 termaposteriori = 0
% 20.45/20.84 demodaposteriori = 0
% 20.45/20.84 ordereqreflfact = 0
% 20.45/20.84
% 20.45/20.84 litselect = negord
% 20.45/20.84
% 20.45/20.84 maxweight = 15
% 20.45/20.84 maxdepth = 30000
% 20.45/20.84 maxlength = 115
% 20.45/20.84 maxnrvars = 195
% 20.45/20.84 excuselevel = 1
% 20.45/20.84 increasemaxweight = 1
% 20.45/20.84
% 20.45/20.84 maxselected = 10000000
% 20.45/20.84 maxnrclauses = 10000000
% 20.45/20.84
% 20.45/20.84 showgenerated = 0
% 20.45/20.84 showkept = 0
% 20.45/20.84 showselected = 0
% 20.45/20.84 showdeleted = 0
% 20.45/20.84 showresimp = 1
% 20.45/20.84 showstatus = 2000
% 20.45/20.84
% 20.45/20.84 prologoutput = 0
% 20.45/20.84 nrgoals = 5000000
% 20.45/20.84 totalproof = 1
% 20.45/20.84
% 20.45/20.84 Symbols occurring in the translation:
% 20.45/20.84
% 20.45/20.84 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 20.45/20.84 . [1, 2] (w:1, o:45, a:1, s:1, b:0),
% 20.45/20.84 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 20.45/20.84 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 20.45/20.84 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 20.45/20.84 in [37, 2] (w:1, o:69, a:1, s:1, b:0),
% 20.45/20.84 empty [38, 1] (w:1, o:31, a:1, s:1, b:0),
% 20.45/20.84 function [39, 1] (w:1, o:34, a:1, s:1, b:0),
% 20.45/20.84 ordinal [40, 1] (w:1, o:35, a:1, s:1, b:0),
% 20.45/20.84 epsilon_transitive [41, 1] (w:1, o:32, a:1, s:1, b:0),
% 20.45/20.84 epsilon_connected [42, 1] (w:1, o:33, a:1, s:1, b:0),
% 20.45/20.84 relation [43, 1] (w:1, o:36, a:1, s:1, b:0),
% 20.45/20.84 one_to_one [44, 1] (w:1, o:37, a:1, s:1, b:0),
% 20.45/20.84 ordinal_subset [45, 2] (w:1, o:70, a:1, s:1, b:0),
% 20.45/20.84 subset [46, 2] (w:1, o:71, a:1, s:1, b:0),
% 20.45/20.84 element [47, 2] (w:1, o:72, a:1, s:1, b:0),
% 20.45/20.84 empty_set [48, 0] (w:1, o:8, a:1, s:1, b:0),
% 20.45/20.84 relation_empty_yielding [49, 1] (w:1, o:38, a:1, s:1, b:0),
% 20.45/20.84 relation_non_empty [50, 1] (w:1, o:39, a:1, s:1, b:0),
% 20.45/20.84 powerset [53, 1] (w:1, o:40, a:1, s:1, b:0),
% 20.45/20.84 skol1 [54, 1] (w:1, o:41, a:1, s:1, b:1),
% 20.45/20.84 skol2 [55, 1] (w:1, o:44, a:1, s:1, b:1),
% 20.45/20.84 skol3 [56, 0] (w:1, o:11, a:1, s:1, b:1),
% 20.45/20.84 skol4 [57, 0] (w:1, o:12, a:1, s:1, b:1),
% 20.45/20.84 skol5 [58, 0] (w:1, o:13, a:1, s:1, b:1),
% 20.45/20.84 skol6 [59, 0] (w:1, o:14, a:1, s:1, b:1),
% 20.45/20.84 skol7 [60, 0] (w:1, o:15, a:1, s:1, b:1),
% 20.45/20.84 skol8 [61, 0] (w:1, o:16, a:1, s:1, b:1),
% 20.45/20.84 skol9 [62, 0] (w:1, o:17, a:1, s:1, b:1),
% 20.45/20.84 skol10 [63, 0] (w:1, o:18, a:1, s:1, b:1),
% 20.45/20.84 skol11 [64, 0] (w:1, o:19, a:1, s:1, b:1),
% 20.45/20.84 skol12 [65, 0] (w:1, o:20, a:1, s:1, b:1),
% 20.45/20.84 skol13 [66, 0] (w:1, o:21, a:1, s:1, b:1),
% 20.45/20.84 skol14 [67, 0] (w:1, o:22, a:1, s:1, b:1),
% 20.45/20.84 skol15 [68, 0] (w:1, o:23, a:1, s:1, b:1),
% 20.45/20.84 skol16 [69, 0] (w:1, o:24, a:1, s:1, b:1),
% 20.45/20.84 skol17 [70, 1] (w:1, o:42, a:1, s:1, b:1),
% 20.45/20.84 skol18 [71, 0] (w:1, o:25, a:1, s:1, b:1),
% 20.45/20.84 skol19 [72, 1] (w:1, o:43, a:1, s:1, b:1).
% 20.45/20.84
% 20.45/20.84
% 20.45/20.84 Starting Search:
% 20.45/20.84
% 20.45/20.84 *** allocated 15000 integers for clauses
% 20.45/20.84 *** allocated 22500 integers for clauses
% 20.45/20.84 *** allocated 33750 integers for clauses
% 20.45/20.84 *** allocated 50625 integers for clauses
% 20.45/20.84 *** allocated 15000 integers for termspace/termends
% 20.45/20.84 Resimplifying inuse:
% 20.45/20.84 Done
% 20.45/20.84
% 20.45/20.84 *** allocated 75937 integers for clauses
% 20.45/20.84 *** allocated 22500 integers for termspace/termends
% 20.45/20.84 *** allocated 113905 integers for clauses
% 20.45/20.84
% 20.45/20.84 Intermediate Status:
% 20.45/20.84 Generated: 6293
% 20.45/20.84 Kept: 2001
% 20.45/20.84 Inuse: 312
% 20.45/20.84 Deleted: 67
% 20.45/20.84 Deletedinuse: 43
% 20.45/20.84
% 20.45/20.84 Resimplifying inuse:
% 20.45/20.84 Done
% 20.45/20.84
% 20.45/20.84 *** allocated 33750 integers for termspace/termends
% 20.45/20.84 *** allocated 170857 integers for clauses
% 20.45/20.84 *** allocated 50625 integers for termspace/termends
% 20.45/20.84 Resimplifying inuse:
% 20.45/20.84 Done
% 20.45/20.84
% 20.45/20.84
% 20.45/20.84 Intermediate Status:
% 20.45/20.84 Generated: 17569
% 20.45/20.84 Kept: 4001
% 20.45/20.84 Inuse: 531
% 20.45/20.84 Deleted: 104
% 20.45/20.84 Deletedinuse: 60
% 20.45/20.84
% 20.45/20.84 Resimplifying inuse:
% 20.45/20.84 Done
% 20.45/20.84
% 20.45/20.84 *** allocated 256285 integers for clauses
% 20.45/20.84 *** allocated 75937 integers for termspace/termends
% 20.45/20.84 Resimplifying inuse:
% 20.45/20.84 Done
% 20.45/20.84
% 20.45/20.84 *** allocated 113905 integers for termspace/termends
% 20.45/20.84
% 20.45/20.84 Intermediate Status:
% 20.45/20.84 Generated: 27755
% 20.45/20.84 Kept: 6033
% 20.45/20.84 Inuse: 584
% 20.45/20.84 Deleted: 128
% 20.45/20.84 Deletedinuse: 76
% 20.45/20.84
% 20.45/20.84 *** allocated 384427 integers for clauses
% 20.45/20.84 Resimplifying inuse:
% 20.45/20.84 Done
% 20.45/20.84
% 20.45/20.84
% 20.45/20.84 Intermediate Status:
% 20.45/20.84 Generated: 35354
% 20.45/20.84 Kept: 8086
% 20.45/20.84 Inuse: 599
% 20.45/20.84 Deleted: 162
% 20.45/20.84 Deletedinuse: 110
% 20.45/20.84
% 20.45/20.84 Resimplifying inuse:
% 20.45/20.84 Done
% 20.45/20.84
% 20.45/20.84 *** allocated 170857 integers for termspace/termends
% 20.45/20.84 Resimplifying inuse:
% 20.45/20.84 Done
% 20.45/20.84
% 20.45/20.84 *** allocated 576640 integers for clauses
% 20.45/20.84
% 20.45/20.84 Intermediate Status:
% 20.45/20.84 Generated: 49559
% 70.58/71.00 Kept: 10094
% 70.58/71.00 Inuse: 669
% 70.58/71.00 Deleted: 174
% 70.58/71.00 Deletedinuse: 110
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 59247
% 70.58/71.00 Kept: 12145
% 70.58/71.00 Inuse: 747
% 70.58/71.00 Deleted: 230
% 70.58/71.00 Deletedinuse: 116
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 *** allocated 256285 integers for termspace/termends
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 71118
% 70.58/71.00 Kept: 14151
% 70.58/71.00 Inuse: 788
% 70.58/71.00 Deleted: 296
% 70.58/71.00 Deletedinuse: 126
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 *** allocated 864960 integers for clauses
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 79304
% 70.58/71.00 Kept: 16166
% 70.58/71.00 Inuse: 839
% 70.58/71.00 Deleted: 320
% 70.58/71.00 Deletedinuse: 146
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 88592
% 70.58/71.00 Kept: 18182
% 70.58/71.00 Inuse: 889
% 70.58/71.00 Deleted: 324
% 70.58/71.00 Deletedinuse: 146
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 *** allocated 384427 integers for termspace/termends
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying clauses:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 100735
% 70.58/71.00 Kept: 21509
% 70.58/71.00 Inuse: 945
% 70.58/71.00 Deleted: 4850
% 70.58/71.00 Deletedinuse: 146
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 *** allocated 1297440 integers for clauses
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 109860
% 70.58/71.00 Kept: 23522
% 70.58/71.00 Inuse: 976
% 70.58/71.00 Deleted: 4852
% 70.58/71.00 Deletedinuse: 146
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 118462
% 70.58/71.00 Kept: 25720
% 70.58/71.00 Inuse: 1008
% 70.58/71.00 Deleted: 4852
% 70.58/71.00 Deletedinuse: 146
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 130531
% 70.58/71.00 Kept: 27744
% 70.58/71.00 Inuse: 1046
% 70.58/71.00 Deleted: 4852
% 70.58/71.00 Deletedinuse: 146
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 *** allocated 576640 integers for termspace/termends
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 145438
% 70.58/71.00 Kept: 30061
% 70.58/71.00 Inuse: 1077
% 70.58/71.00 Deleted: 4853
% 70.58/71.00 Deletedinuse: 146
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 155311
% 70.58/71.00 Kept: 32091
% 70.58/71.00 Inuse: 1117
% 70.58/71.00 Deleted: 4865
% 70.58/71.00 Deletedinuse: 153
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 164354
% 70.58/71.00 Kept: 34091
% 70.58/71.00 Inuse: 1137
% 70.58/71.00 Deleted: 4909
% 70.58/71.00 Deletedinuse: 156
% 70.58/71.00
% 70.58/71.00 *** allocated 1946160 integers for clauses
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 172345
% 70.58/71.00 Kept: 36146
% 70.58/71.00 Inuse: 1171
% 70.58/71.00 Deleted: 4910
% 70.58/71.00 Deletedinuse: 156
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 180961
% 70.58/71.00 Kept: 38203
% 70.58/71.00 Inuse: 1215
% 70.58/71.00 Deleted: 4920
% 70.58/71.00 Deletedinuse: 166
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 193283
% 70.58/71.00 Kept: 40538
% 70.58/71.00 Inuse: 1241
% 70.58/71.00 Deleted: 4924
% 70.58/71.00 Deletedinuse: 166
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying clauses:
% 70.58/71.00 *** allocated 864960 integers for termspace/termends
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 206937
% 70.58/71.00 Kept: 43029
% 70.58/71.00 Inuse: 1260
% 70.58/71.00 Deleted: 11062
% 70.58/71.00 Deletedinuse: 174
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 217078
% 70.58/71.00 Kept: 45107
% 70.58/71.00 Inuse: 1301
% 70.58/71.00 Deleted: 11102
% 70.58/71.00 Deletedinuse: 210
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 239940
% 70.58/71.00 Kept: 47120
% 70.58/71.00 Inuse: 1337
% 70.58/71.00 Deleted: 11120
% 70.58/71.00 Deletedinuse: 212
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 247453
% 70.58/71.00 Kept: 49285
% 70.58/71.00 Inuse: 1360
% 70.58/71.00 Deleted: 11120
% 70.58/71.00 Deletedinuse: 212
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 258749
% 70.58/71.00 Kept: 51302
% 70.58/71.00 Inuse: 1408
% 70.58/71.00 Deleted: 11133
% 70.58/71.00 Deletedinuse: 225
% 70.58/71.00
% 70.58/71.00 *** allocated 2919240 integers for clauses
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 269710
% 70.58/71.00 Kept: 53331
% 70.58/71.00 Inuse: 1436
% 70.58/71.00 Deleted: 11134
% 70.58/71.00 Deletedinuse: 226
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00 Resimplifying inuse:
% 70.58/71.00 Done
% 70.58/71.00
% 70.58/71.00
% 70.58/71.00 Intermediate Status:
% 70.58/71.00 Generated: 283492
% 70.58/71.00 Kept: 55358
% 70.58/71.00 Inuse: 1486
% 70.58/71.00 Deleted: 11327
% 70.58/71.00 Deletedinuse: 413
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59
% 76.15/76.59 Intermediate Status:
% 76.15/76.59 Generated: 299553
% 76.15/76.59 Kept: 57450
% 76.15/76.59 Inuse: 1551
% 76.15/76.59 Deleted: 11340
% 76.15/76.59 Deletedinuse: 414
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59
% 76.15/76.59 Intermediate Status:
% 76.15/76.59 Generated: 317302
% 76.15/76.59 Kept: 59970
% 76.15/76.59 Inuse: 1596
% 76.15/76.59 Deleted: 11350
% 76.15/76.59 Deletedinuse: 418
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59
% 76.15/76.59 Intermediate Status:
% 76.15/76.59 Generated: 325860
% 76.15/76.59 Kept: 61972
% 76.15/76.59 Inuse: 1637
% 76.15/76.59 Deleted: 11414
% 76.15/76.59 Deletedinuse: 482
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59 *** allocated 1297440 integers for termspace/termends
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59 Resimplifying clauses:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59
% 76.15/76.59 Intermediate Status:
% 76.15/76.59 Generated: 338599
% 76.15/76.59 Kept: 64991
% 76.15/76.59 Inuse: 1674
% 76.15/76.59 Deleted: 29980
% 76.15/76.59 Deletedinuse: 495
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59
% 76.15/76.59 Intermediate Status:
% 76.15/76.59 Generated: 354139
% 76.15/76.59 Kept: 66996
% 76.15/76.59 Inuse: 1743
% 76.15/76.59 Deleted: 29998
% 76.15/76.59 Deletedinuse: 513
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59
% 76.15/76.59 Intermediate Status:
% 76.15/76.59 Generated: 370921
% 76.15/76.59 Kept: 68998
% 76.15/76.59 Inuse: 1808
% 76.15/76.59 Deleted: 30000
% 76.15/76.59 Deletedinuse: 513
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59
% 76.15/76.59 Intermediate Status:
% 76.15/76.59 Generated: 387931
% 76.15/76.59 Kept: 71058
% 76.15/76.59 Inuse: 1842
% 76.15/76.59 Deleted: 30014
% 76.15/76.59 Deletedinuse: 514
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59
% 76.15/76.59 Intermediate Status:
% 76.15/76.59 Generated: 398785
% 76.15/76.59 Kept: 73068
% 76.15/76.59 Inuse: 1883
% 76.15/76.59 Deleted: 30027
% 76.15/76.59 Deletedinuse: 527
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59
% 76.15/76.59 Intermediate Status:
% 76.15/76.59 Generated: 413452
% 76.15/76.59 Kept: 75103
% 76.15/76.59 Inuse: 1907
% 76.15/76.59 Deleted: 30031
% 76.15/76.59 Deletedinuse: 528
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59 *** allocated 4378860 integers for clauses
% 76.15/76.59
% 76.15/76.59 Intermediate Status:
% 76.15/76.59 Generated: 426853
% 76.15/76.59 Kept: 77103
% 76.15/76.59 Inuse: 1940
% 76.15/76.59 Deleted: 30041
% 76.15/76.59 Deletedinuse: 530
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59 Resimplifying inuse:
% 76.15/76.59 Done
% 76.15/76.59
% 76.15/76.59
% 76.15/76.59 Intermediate Status:
% 76.15/76.59 Generated: 440699
% 76.15/76.59 Kept: 79126
% 76.15/76.59 Inuse: 1998
% 76.15/76.59 Deleted: 30042
% 76.15/76.59 Deletedinuse: 531
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60
% 76.15/76.60 Intermediate Status:
% 76.15/76.60 Generated: 450317
% 76.15/76.60 Kept: 81258
% 76.15/76.60 Inuse: 2033
% 76.15/76.60 Deleted: 30045
% 76.15/76.60 Deletedinuse: 534
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60
% 76.15/76.60 Intermediate Status:
% 76.15/76.60 Generated: 464606
% 76.15/76.60 Kept: 83330
% 76.15/76.60 Inuse: 2068
% 76.15/76.60 Deleted: 30045
% 76.15/76.60 Deletedinuse: 534
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 Resimplifying clauses:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60
% 76.15/76.60 Intermediate Status:
% 76.15/76.60 Generated: 474183
% 76.15/76.60 Kept: 86424
% 76.15/76.60 Inuse: 2084
% 76.15/76.60 Deleted: 37467
% 76.15/76.60 Deletedinuse: 535
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60
% 76.15/76.60 Intermediate Status:
% 76.15/76.60 Generated: 482813
% 76.15/76.60 Kept: 88456
% 76.15/76.60 Inuse: 2108
% 76.15/76.60 Deleted: 37468
% 76.15/76.60 Deletedinuse: 536
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60
% 76.15/76.60 Intermediate Status:
% 76.15/76.60 Generated: 502568
% 76.15/76.60 Kept: 90457
% 76.15/76.60 Inuse: 2168
% 76.15/76.60 Deleted: 37469
% 76.15/76.60 Deletedinuse: 536
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60
% 76.15/76.60 Intermediate Status:
% 76.15/76.60 Generated: 521868
% 76.15/76.60 Kept: 92488
% 76.15/76.60 Inuse: 2217
% 76.15/76.60 Deleted: 37469
% 76.15/76.60 Deletedinuse: 536
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 *** allocated 1946160 integers for termspace/termends
% 76.15/76.60
% 76.15/76.60 Intermediate Status:
% 76.15/76.60 Generated: 541073
% 76.15/76.60 Kept: 94501
% 76.15/76.60 Inuse: 2269
% 76.15/76.60 Deleted: 37471
% 76.15/76.60 Deletedinuse: 538
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60
% 76.15/76.60 Intermediate Status:
% 76.15/76.60 Generated: 558461
% 76.15/76.60 Kept: 96502
% 76.15/76.60 Inuse: 2323
% 76.15/76.60 Deleted: 37472
% 76.15/76.60 Deletedinuse: 538
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60
% 76.15/76.60 Intermediate Status:
% 76.15/76.60 Generated: 576103
% 76.15/76.60 Kept: 98560
% 76.15/76.60 Inuse: 2375
% 76.15/76.60 Deleted: 37473
% 76.15/76.60 Deletedinuse: 539
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60
% 76.15/76.60 Intermediate Status:
% 76.15/76.60 Generated: 585283
% 76.15/76.60 Kept: 100562
% 76.15/76.60 Inuse: 2397
% 76.15/76.60 Deleted: 37476
% 76.15/76.60 Deletedinuse: 540
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60
% 76.15/76.60 Intermediate Status:
% 76.15/76.60 Generated: 594813
% 76.15/76.60 Kept: 102602
% 76.15/76.60 Inuse: 2422
% 76.15/76.60 Deleted: 37477
% 76.15/76.60 Deletedinuse: 540
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60
% 76.15/76.60 Intermediate Status:
% 76.15/76.60 Generated: 612329
% 76.15/76.60 Kept: 104602
% 76.15/76.60 Inuse: 2462
% 76.15/76.60 Deleted: 37484
% 76.15/76.60 Deletedinuse: 540
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 Resimplifying inuse:
% 76.15/76.60 Done
% 76.15/76.60
% 76.15/76.60 Resimplifying clauses:
% 76.15/76.60
% 76.15/76.60 Bliksems!, er is een bewijs:
% 76.15/76.60 % SZS status Theorem
% 76.15/76.60 % SZS output start Refutation
% 76.15/76.60
% 76.15/76.60 (0) {G0,W6,D2,L2,V2,M2} I { ! in( X, Y ), ! in( Y, X ) }.
% 76.15/76.60 (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive( X ) }.
% 76.15/76.60 (3) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_connected( X ) }.
% 76.15/76.60 (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), ! epsilon_connected
% 76.15/76.60 ( X ), ordinal( X ) }.
% 76.15/76.60 (8) {G0,W4,D2,L2,V1,M2} I { ! empty( X ), epsilon_connected( X ) }.
% 76.15/76.60 (9) {G0,W4,D2,L2,V1,M2} I { ! empty( X ), ordinal( X ) }.
% 76.15/76.60 (11) {G0,W8,D2,L3,V2,M3} I { ! epsilon_transitive( X ), ! in( Y, X ),
% 76.15/76.60 subset( Y, X ) }.
% 76.15/76.60 (12) {G0,W6,D3,L2,V1,M2} I { in( skol1( X ), X ), epsilon_transitive( X )
% 76.15/76.60 }.
% 76.15/76.60 (14) {G0,W4,D3,L1,V1,M1} I { element( skol2( X ), X ) }.
% 76.15/76.60 (15) {G0,W2,D2,L1,V0,M1} I { empty( empty_set ) }.
% 76.15/76.60 (22) {G0,W2,D2,L1,V0,M1} I { ordinal( empty_set ) }.
% 76.15/76.60 (47) {G0,W2,D2,L1,V0,M1} I { ! empty( skol12 ) }.
% 76.15/76.60 (48) {G0,W2,D2,L1,V0,M1} I { epsilon_transitive( skol12 ) }.
% 76.15/76.60 (50) {G0,W2,D2,L1,V0,M1} I { ordinal( skol12 ) }.
% 76.15/76.60 (60) {G0,W10,D2,L4,V2,M4} I { ! ordinal( X ), ! ordinal( Y ), ! subset( X,
% 76.15/76.60 Y ), ordinal_subset( X, Y ) }.
% 76.15/76.60 (62) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 76.15/76.60 (63) {G0,W6,D2,L2,V2,M2} I { ! in( X, Y ), element( X, Y ) }.
% 76.15/76.60 (64) {G0,W7,D2,L3,V2,M3} I { ! ordinal( X ), ! in( Y, X ), ordinal( Y ) }.
% 76.15/76.60 (65) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ), in( X, Y ), X
% 76.15/76.60 = Y, in( Y, X ) }.
% 76.15/76.60 (66) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 76.15/76.60 (67) {G0,W2,D2,L1,V0,M1} I { ordinal( skol16 ) }.
% 76.15/76.60 (68) {G0,W3,D2,L1,V0,M1} I { subset( skol18, skol16 ) }.
% 76.15/76.60 (69) {G0,W3,D2,L1,V0,M1} I { ! skol18 ==> empty_set }.
% 76.15/76.60 (71) {G0,W9,D3,L3,V2,M3} I { ! ordinal( X ), ! in( X, skol18 ), in( skol19
% 76.15/76.60 ( Y ), skol18 ) }.
% 76.15/76.60 (72) {G0,W9,D3,L3,V1,M3} I { ! ordinal( X ), ! in( X, skol18 ), !
% 76.15/76.60 ordinal_subset( X, skol19( X ) ) }.
% 76.15/76.60 (73) {G0,W7,D3,L2,V2,M2} I { ! element( X, powerset( Y ) ), subset( X, Y )
% 76.15/76.60 }.
% 76.15/76.60 (74) {G0,W7,D3,L2,V2,M2} I { ! subset( X, Y ), element( X, powerset( Y ) )
% 76.15/76.60 }.
% 76.15/76.60 (75) {G0,W10,D3,L3,V3,M3} I { ! in( X, Z ), ! element( Z, powerset( Y ) ),
% 76.15/76.60 element( X, Y ) }.
% 76.15/76.60 (76) {G0,W9,D3,L3,V3,M3} I { ! in( X, Y ), ! element( Y, powerset( Z ) ), !
% 76.15/76.60 empty( Z ) }.
% 76.15/76.60 (77) {G0,W5,D2,L2,V1,M2} I { ! empty( X ), X = empty_set }.
% 76.15/76.60 (78) {G0,W5,D2,L2,V2,M2} I { ! in( X, Y ), ! empty( Y ) }.
% 76.15/76.60 (79) {G0,W7,D3,L2,V2,M2} I { ! in( X, Y ), in( skol17( Y ), Y ) }.
% 76.15/76.60 (80) {G0,W10,D3,L3,V3,M3} I { ! in( X, Y ), ! in( Z, Y ), ! in( Z, skol17(
% 76.15/76.60 Y ) ) }.
% 76.15/76.60 (82) {G1,W3,D2,L1,V1,M1} F(0) { ! in( X, X ) }.
% 76.15/76.60 (84) {G1,W7,D3,L2,V2,M2} F(80) { ! in( X, Y ), ! in( X, skol17( Y ) ) }.
% 76.15/76.60 (126) {G1,W8,D2,L3,V2,M3} R(11,2) { ! in( X, Y ), subset( X, Y ), ! ordinal
% 76.15/76.60 ( Y ) }.
% 76.15/76.60 (127) {G1,W6,D2,L2,V1,M2} R(11,48) { ! in( X, skol12 ), subset( X, skol12 )
% 76.15/76.60 }.
% 76.15/76.60 (130) {G1,W10,D3,L3,V2,M3} R(12,11) { in( skol1( X ), X ), ! in( Y, X ),
% 76.15/76.60 subset( Y, X ) }.
% 76.15/76.60 (183) {G1,W3,D2,L1,V1,M1} R(78,15) { ! in( X, empty_set ) }.
% 76.15/76.60 (189) {G1,W13,D2,L5,V3,M5} R(64,60) { ! ordinal( X ), ! in( Y, X ), !
% 76.15/76.60 ordinal( Z ), ! subset( Y, Z ), ordinal_subset( Y, Z ) }.
% 76.15/76.60 (198) {G1,W5,D2,L2,V1,M2} R(64,50) { ! in( X, skol12 ), ordinal( X ) }.
% 76.15/76.60 (199) {G1,W5,D2,L2,V1,M2} R(64,67) { ! in( X, skol16 ), ordinal( X ) }.
% 76.15/76.60 (203) {G2,W8,D2,L3,V2,M3} F(189);r(126) { ! ordinal( X ), ! in( Y, X ),
% 76.15/76.60 ordinal_subset( Y, X ) }.
% 76.15/76.60 (219) {G2,W8,D2,L3,V1,M3} R(65,183);r(22) { ! ordinal( X ), X = empty_set,
% 76.15/76.60 in( empty_set, X ) }.
% 76.15/76.60 (222) {G1,W13,D2,L5,V2,M5} R(65,11);r(2) { ! ordinal( X ), ! ordinal( Y ),
% 76.15/76.60 X = Y, in( Y, X ), subset( X, Y ) }.
% 76.15/76.60 (281) {G2,W11,D2,L4,V2,M4} R(198,60) { ! in( X, skol12 ), ! ordinal( Y ), !
% 76.15/76.60 subset( X, Y ), ordinal_subset( X, Y ) }.
% 76.15/76.60 (299) {G1,W6,D3,L2,V1,M2} R(66,14) { empty( X ), in( skol2( X ), X ) }.
% 76.15/76.60 (308) {G1,W6,D2,L2,V1,M2} R(66,47) { ! element( X, skol12 ), in( X, skol12
% 76.15/76.60 ) }.
% 76.15/76.60 (424) {G1,W14,D3,L5,V1,M5} R(72,65);f { ! ordinal( X ), ! ordinal_subset( X
% 76.15/76.60 , skol19( X ) ), ! ordinal( skol18 ), X = skol18, in( skol18, X ) }.
% 76.15/76.60 (440) {G1,W19,D3,L7,V2,M7} P(65,72) { ! ordinal( Y ), ! in( Y, X ), !
% 76.15/76.60 ordinal_subset( Y, skol19( Y ) ), ! ordinal( skol18 ), ! ordinal( X ), in
% 76.15/76.60 ( skol18, X ), in( X, skol18 ) }.
% 76.15/76.60 (445) {G1,W5,D4,L1,V1,M1} R(73,14) { subset( skol2( powerset( X ) ), X )
% 76.15/76.60 }.
% 76.15/76.60 (459) {G2,W5,D2,L2,V1,M2} R(199,3) { ! in( X, skol16 ), epsilon_connected(
% 76.15/76.60 X ) }.
% 76.15/76.60 (460) {G2,W5,D2,L2,V1,M2} R(199,2) { ! in( X, skol16 ), epsilon_transitive
% 76.15/76.60 ( X ) }.
% 76.15/76.60 (474) {G1,W4,D3,L1,V0,M1} R(74,68) { element( skol18, powerset( skol16 ) )
% 76.15/76.60 }.
% 76.15/76.60 (476) {G1,W4,D3,L1,V1,M1} R(74,62) { element( X, powerset( X ) ) }.
% 76.15/76.60 (500) {G1,W2,D2,L1,V0,M1} P(77,69);q { ! empty( skol18 ) }.
% 76.15/76.60 (507) {G2,W6,D2,L2,V1,M2} R(500,66) { ! element( X, skol18 ), in( X, skol18
% 76.15/76.60 ) }.
% 76.15/76.60 (510) {G2,W6,D2,L2,V1,M2} R(75,474) { ! in( X, skol18 ), element( X, skol16
% 76.15/76.60 ) }.
% 76.15/76.60 (511) {G1,W9,D2,L3,V3,M3} R(75,74) { ! in( X, Y ), element( X, Z ), !
% 76.15/76.60 subset( Y, Z ) }.
% 76.15/76.60 (538) {G2,W5,D2,L2,V1,M2} R(76,474) { ! in( X, skol18 ), ! empty( skol16 )
% 76.15/76.60 }.
% 76.15/76.60 (545) {G1,W7,D4,L2,V2,M2} R(76,14) { ! in( X, skol2( powerset( Y ) ) ), !
% 76.15/76.60 empty( Y ) }.
% 76.15/76.60 (582) {G3,W5,D2,L2,V1,M2} R(538,66);r(500) { ! empty( skol16 ), ! element(
% 76.15/76.60 X, skol18 ) }.
% 76.15/76.60 (597) {G4,W2,D2,L1,V0,M1} R(582,14) { ! empty( skol16 ) }.
% 76.15/76.60 (601) {G5,W6,D2,L2,V1,M2} R(597,66) { ! element( X, skol16 ), in( X, skol16
% 76.15/76.60 ) }.
% 76.15/76.60 (638) {G2,W9,D3,L3,V2,M3} R(84,66) { ! in( X, skol17( Y ) ), ! element( X,
% 76.15/76.60 Y ), empty( Y ) }.
% 76.15/76.60 (643) {G2,W11,D4,L3,V1,M3} R(445,60) { ! ordinal( skol2( powerset( X ) ) )
% 76.15/76.60 , ! ordinal( X ), ordinal_subset( skol2( powerset( X ) ), X ) }.
% 76.15/76.60 (653) {G6,W5,D2,L2,V1,M2} R(601,460) { ! element( X, skol16 ),
% 76.15/76.60 epsilon_transitive( X ) }.
% 76.15/76.60 (654) {G6,W5,D2,L2,V1,M2} R(601,459) { ! element( X, skol16 ),
% 76.15/76.60 epsilon_connected( X ) }.
% 76.15/76.60 (655) {G6,W5,D2,L2,V1,M2} R(601,199) { ! element( X, skol16 ), ordinal( X )
% 76.15/76.60 }.
% 76.15/76.60 (761) {G7,W7,D3,L2,V1,M2} R(655,72);r(510) { ! in( X, skol18 ), !
% 76.15/76.60 ordinal_subset( X, skol19( X ) ) }.
% 76.15/76.60 (840) {G7,W5,D2,L2,V1,M2} R(510,655) { ! in( X, skol18 ), ordinal( X ) }.
% 76.15/76.60 (841) {G7,W5,D2,L2,V1,M2} R(510,654) { ! in( X, skol18 ), epsilon_connected
% 76.15/76.60 ( X ) }.
% 76.15/76.60 (842) {G7,W5,D2,L2,V1,M2} R(510,653) { ! in( X, skol18 ),
% 76.15/76.60 epsilon_transitive( X ) }.
% 76.15/76.60 (885) {G8,W5,D3,L2,V0,M2} R(840,12) { ordinal( skol1( skol18 ) ),
% 76.15/76.60 epsilon_transitive( skol18 ) }.
% 76.15/76.60 (943) {G8,W6,D3,L2,V2,M2} R(841,71);r(840) { epsilon_connected( skol19( X )
% 76.15/76.60 ), ! in( Y, skol18 ) }.
% 76.15/76.60 (946) {G8,W6,D3,L2,V2,M2} R(842,71);r(840) { epsilon_transitive( skol19( X
% 76.15/76.60 ) ), ! in( Y, skol18 ) }.
% 76.15/76.60 (972) {G9,W6,D3,L2,V1,M2} R(885,71);r(12) { epsilon_transitive( skol18 ),
% 76.15/76.60 in( skol19( X ), skol18 ) }.
% 76.15/76.60 (1074) {G3,W7,D3,L2,V1,M2} R(507,84) { ! element( X, skol18 ), ! in( X,
% 76.15/76.60 skol17( skol18 ) ) }.
% 76.15/76.60 (1079) {G3,W4,D3,L1,V0,M1} R(507,14) { in( skol2( skol18 ), skol18 ) }.
% 76.15/76.60 (1083) {G4,W4,D3,L1,V0,M1} R(1079,79) { in( skol17( skol18 ), skol18 ) }.
% 76.15/76.60 (1084) {G4,W6,D3,L2,V1,M2} R(1079,76) { ! element( skol18, powerset( X ) )
% 76.15/76.60 , ! empty( X ) }.
% 76.15/76.60 (1098) {G8,W3,D3,L1,V0,M1} R(1083,840) { ordinal( skol17( skol18 ) ) }.
% 76.15/76.60 (1102) {G5,W6,D3,L2,V0,M2} R(1083,11) { ! epsilon_transitive( skol18 ),
% 76.15/76.60 subset( skol17( skol18 ), skol18 ) }.
% 76.15/76.60 (1122) {G9,W14,D3,L4,V1,M4} R(1098,65) { ! ordinal( X ), in( skol17( skol18
% 76.15/76.60 ), X ), skol17( skol18 ) = X, in( X, skol17( skol18 ) ) }.
% 76.15/76.60 (1124) {G9,W10,D3,L3,V1,M3} R(1098,60) { ! ordinal( X ), ! subset( skol17(
% 76.15/76.60 skol18 ), X ), ordinal_subset( skol17( skol18 ), X ) }.
% 76.15/76.60 (1139) {G2,W7,D3,L2,V1,M2} R(127,79) { subset( skol17( skol12 ), skol12 ),
% 76.15/76.60 ! in( X, skol12 ) }.
% 76.15/76.60 (1791) {G2,W7,D3,L2,V1,M2} R(308,84) { ! element( X, skol12 ), ! in( X,
% 76.15/76.60 skol17( skol12 ) ) }.
% 76.15/76.60 (1796) {G2,W4,D3,L1,V0,M1} R(308,14) { in( skol2( skol12 ), skol12 ) }.
% 76.15/76.60 (1801) {G3,W4,D3,L1,V0,M1} R(1796,79) { in( skol17( skol12 ), skol12 ) }.
% 76.15/76.60 (1811) {G4,W4,D3,L1,V0,M1} R(1801,130);r(1139) { subset( skol17( skol12 ),
% 76.15/76.60 skol12 ) }.
% 76.15/76.60 (1815) {G4,W3,D3,L1,V0,M1} R(1801,198) { ordinal( skol17( skol12 ) ) }.
% 76.15/76.60 (1894) {G5,W5,D3,L1,V0,M1} R(1811,74) { element( skol17( skol12 ), powerset
% 76.15/76.60 ( skol12 ) ) }.
% 76.15/76.60 (1912) {G6,W4,D3,L1,V1,M1} R(1894,75);r(1791) { ! in( X, skol17( skol12 ) )
% 76.15/76.60 }.
% 76.15/76.60 (2541) {G9,W3,D3,L1,V1,M1} R(946,1083) { epsilon_transitive( skol19( X ) )
% 76.15/76.60 }.
% 76.15/76.60 (2587) {G9,W3,D3,L1,V1,M1} R(943,1083) { epsilon_connected( skol19( X ) )
% 76.15/76.60 }.
% 76.15/76.60 (2596) {G10,W3,D3,L1,V1,M1} R(2587,6);r(2541) { ordinal( skol19( X ) ) }.
% 76.15/76.60 (4175) {G5,W4,D3,L1,V0,M1} R(1084,15) { ! element( skol18, powerset(
% 76.15/76.60 empty_set ) ) }.
% 76.15/76.60 (4181) {G6,W3,D2,L1,V0,M1} R(4175,74) { ! subset( skol18, empty_set ) }.
% 76.15/76.60 (5145) {G10,W6,D3,L2,V1,M2} R(972,63) { epsilon_transitive( skol18 ),
% 76.15/76.60 element( skol19( X ), skol18 ) }.
% 76.15/76.60 (5701) {G7,W4,D3,L1,V0,M1} R(219,1912);r(1815) { skol17( skol12 ) ==>
% 76.15/76.60 empty_set }.
% 76.15/76.60 (5785) {G7,W5,D2,L2,V0,M2} P(219,4181);r(62) { ! ordinal( skol18 ), in(
% 76.15/76.60 empty_set, skol18 ) }.
% 76.15/76.60 (6026) {G3,W7,D2,L3,V1,M3} P(219,15) { empty( X ), ! ordinal( X ), in(
% 76.15/76.60 empty_set, X ) }.
% 76.15/76.60 (6064) {G8,W3,D2,L1,V0,M1} P(5701,1801) { in( empty_set, skol12 ) }.
% 76.15/76.60 (8049) {G2,W10,D2,L4,V1,M4} P(222,15);r(22) { empty( X ), ! ordinal( X ),
% 76.15/76.60 in( X, empty_set ), subset( empty_set, X ) }.
% 76.15/76.60 (10691) {G2,W6,D3,L2,V1,M2} R(299,79) { empty( X ), in( skol17( X ), X )
% 76.15/76.60 }.
% 76.15/76.60 (10706) {G2,W6,D3,L2,V1,M2} R(299,9) { in( skol2( X ), X ), ordinal( X )
% 76.15/76.60 }.
% 76.15/76.60 (10981) {G3,W6,D3,L2,V1,M2} R(10691,9) { in( skol17( X ), X ), ordinal( X )
% 76.15/76.60 }.
% 76.15/76.60 (10982) {G3,W6,D3,L2,V1,M2} R(10691,8) { in( skol17( X ), X ),
% 76.15/76.60 epsilon_connected( X ) }.
% 76.15/76.60 (21092) {G3,W7,D2,L3,V1,M3} S(8049);r(183) { empty( X ), ! ordinal( X ),
% 76.15/76.60 subset( empty_set, X ) }.
% 76.15/76.60 (23247) {G9,W7,D2,L3,V1,M3} R(21092,281);f;r(6064) { empty( X ), ! ordinal
% 76.15/76.60 ( X ), ordinal_subset( empty_set, X ) }.
% 76.15/76.60 (27786) {G10,W14,D3,L5,V0,M5} R(424,23247);r(22) { ! ordinal( skol18 ),
% 76.15/76.60 skol18 ==> empty_set, in( skol18, empty_set ), empty( skol19( empty_set )
% 76.15/76.60 ), ! ordinal( skol19( empty_set ) ) }.
% 76.15/76.60 (34287) {G6,W6,D3,L2,V1,M2} R(511,1102);r(1074) { ! in( X, skol17( skol18 )
% 76.15/76.60 ), ! epsilon_transitive( skol18 ) }.
% 76.15/76.60 (40033) {G9,W6,D3,L2,V0,M2} R(34287,219);r(1098) { ! epsilon_transitive(
% 76.15/76.60 skol18 ), skol17( skol18 ) ==> empty_set }.
% 76.15/76.60 (42117) {G11,W5,D3,L2,V0,M2} S(27786);r(69);r(183);r(2596) { ! ordinal(
% 76.15/76.60 skol18 ), empty( skol19( empty_set ) ) }.
% 76.15/76.60 (43342) {G3,W6,D4,L2,V1,M2} R(545,10706) { ! empty( X ), ordinal( skol2(
% 76.15/76.60 powerset( X ) ) ) }.
% 76.15/76.60 (43359) {G4,W7,D4,L2,V1,M2} R(545,219);r(43342) { ! empty( X ), skol2(
% 76.15/76.60 powerset( X ) ) ==> empty_set }.
% 76.15/76.60 (44075) {G12,W6,D3,L2,V0,M2} R(42117,77) { ! ordinal( skol18 ), skol19(
% 76.15/76.60 empty_set ) ==> empty_set }.
% 76.15/76.60 (53008) {G5,W5,D2,L2,V1,M2} R(643,9);d(43359);d(43359);r(22) { ! empty( X )
% 76.15/76.60 , ordinal_subset( empty_set, X ) }.
% 76.15/76.60 (53031) {G6,W5,D2,L2,V1,M2} R(53008,6026);r(203) { ordinal_subset(
% 76.15/76.60 empty_set, X ), ! ordinal( X ) }.
% 76.15/76.60 (53074) {G13,W13,D2,L5,V1,M5} R(53031,440);d(44075);f;r(22) { ! in(
% 76.15/76.60 empty_set, X ), ! ordinal( skol18 ), ! ordinal( X ), in( skol18, X ), in
% 76.15/76.60 ( X, skol18 ) }.
% 76.15/76.60 (53128) {G11,W4,D3,L1,V1,M1} R(53031,2596) { ordinal_subset( empty_set,
% 76.15/76.60 skol19( X ) ) }.
% 76.15/76.60 (53166) {G14,W5,D2,L2,V0,M2} F(53074);f;r(5785) { ! ordinal( skol18 ), in(
% 76.15/76.60 skol18, skol18 ) }.
% 76.15/76.60 (53726) {G15,W2,D2,L1,V0,M1} S(53166);r(82) { ! ordinal( skol18 ) }.
% 76.15/76.60 (53752) {G16,W4,D2,L2,V0,M2} R(53726,6) { ! epsilon_transitive( skol18 ), !
% 76.15/76.60 epsilon_connected( skol18 ) }.
% 76.15/76.60 (53876) {G17,W5,D2,L2,V0,M2} R(53752,10982);d(40033) { ! epsilon_transitive
% 76.15/76.60 ( skol18 ), in( empty_set, skol18 ) }.
% 76.15/76.60 (58988) {G18,W2,D2,L1,V0,M1} R(761,53876);r(53128) { ! epsilon_transitive(
% 76.15/76.60 skol18 ) }.
% 76.15/76.60 (59004) {G16,W6,D4,L1,V0,M1} R(761,10981);r(53726) { ! ordinal_subset(
% 76.15/76.60 skol17( skol18 ), skol19( skol17( skol18 ) ) ) }.
% 76.15/76.60 (59039) {G19,W4,D3,L1,V1,M1} R(58988,5145) { element( skol19( X ), skol18 )
% 76.15/76.60 }.
% 76.15/76.60 (60312) {G20,W5,D3,L1,V1,M1} R(59039,638);r(500) { ! in( skol19( X ),
% 76.15/76.60 skol17( skol18 ) ) }.
% 76.15/76.60 (96502) {G17,W6,D4,L1,V0,M1} R(59004,1124);r(2596) { ! subset( skol17(
% 76.15/76.60 skol18 ), skol19( skol17( skol18 ) ) ) }.
% 76.15/76.60 (96506) {G17,W6,D4,L1,V0,M1} R(59004,203);r(2596) { ! in( skol17( skol18 )
% 76.15/76.60 , skol19( skol17( skol18 ) ) ) }.
% 76.15/76.60 (96532) {G18,W7,D5,L1,V0,M1} R(96502,73) { ! element( skol17( skol18 ),
% 76.15/76.60 powerset( skol19( skol17( skol18 ) ) ) ) }.
% 76.15/76.60 (96622) {G18,W12,D4,L2,V0,M2} R(96506,1122);r(2596) { skol19( skol17(
% 76.15/76.60 skol18 ) ) ==> skol17( skol18 ), in( skol19( skol17( skol18 ) ), skol17(
% 76.15/76.60 skol18 ) ) }.
% 76.15/76.60 (106735) {G21,W6,D4,L1,V0,M1} S(96622);r(60312) { skol19( skol17( skol18 )
% 76.15/76.60 ) ==> skol17( skol18 ) }.
% 76.15/76.60 (106745) {G22,W0,D0,L0,V0,M0} S(96532);d(106735);r(476) { }.
% 76.15/76.60
% 76.15/76.60
% 76.15/76.60 % SZS output end Refutation
% 76.15/76.60 found a proof!
% 76.15/76.60
% 76.15/76.60
% 76.15/76.60 Unprocessed initial clauses:
% 76.15/76.60
% 76.15/76.60 (106747) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 76.15/76.60 (106748) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 76.15/76.60 (106749) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive( X ) }.
% 76.15/76.60 (106750) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected( X ) }.
% 76.15/76.60 (106751) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 76.15/76.60 (106752) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function(
% 76.15/76.60 X ), relation( X ) }.
% 76.15/76.60 (106753) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function(
% 76.15/76.60 X ), function( X ) }.
% 76.15/76.60 (106754) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function(
% 76.15/76.60 X ), one_to_one( X ) }.
% 76.15/76.60 (106755) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 76.15/76.60 epsilon_connected( X ), ordinal( X ) }.
% 76.15/76.60 (106756) {G0,W4,D2,L2,V1,M2} { ! empty( X ), epsilon_transitive( X ) }.
% 76.15/76.60 (106757) {G0,W4,D2,L2,V1,M2} { ! empty( X ), epsilon_connected( X ) }.
% 76.15/76.60 (106758) {G0,W4,D2,L2,V1,M2} { ! empty( X ), ordinal( X ) }.
% 76.15/76.60 (106759) {G0,W10,D2,L4,V2,M4} { ! ordinal( X ), ! ordinal( Y ),
% 76.15/76.60 ordinal_subset( X, Y ), ordinal_subset( Y, X ) }.
% 76.15/76.60 (106760) {G0,W8,D2,L3,V2,M3} { ! epsilon_transitive( X ), ! in( Y, X ),
% 76.15/76.60 subset( Y, X ) }.
% 76.15/76.60 (106761) {G0,W6,D3,L2,V1,M2} { in( skol1( X ), X ), epsilon_transitive( X
% 76.15/76.60 ) }.
% 76.15/76.60 (106762) {G0,W6,D3,L2,V1,M2} { ! subset( skol1( X ), X ),
% 76.15/76.60 epsilon_transitive( X ) }.
% 76.15/76.60 (106763) {G0,W4,D3,L1,V1,M1} { element( skol2( X ), X ) }.
% 76.15/76.60 (106764) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 76.15/76.60 (106765) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 76.15/76.60 (106766) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 76.15/76.60 (106767) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 76.15/76.60 (106768) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 76.15/76.60 (106769) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 76.15/76.60 (106770) {G0,W2,D2,L1,V0,M1} { function( empty_set ) }.
% 76.15/76.60 (106771) {G0,W2,D2,L1,V0,M1} { one_to_one( empty_set ) }.
% 76.15/76.60 (106772) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 76.15/76.60 (106773) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( empty_set ) }.
% 76.15/76.60 (106774) {G0,W2,D2,L1,V0,M1} { epsilon_connected( empty_set ) }.
% 76.15/76.60 (106775) {G0,W2,D2,L1,V0,M1} { ordinal( empty_set ) }.
% 76.15/76.60 (106776) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 76.15/76.60 (106777) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 76.15/76.60 (106778) {G0,W2,D2,L1,V0,M1} { relation( skol3 ) }.
% 76.15/76.60 (106779) {G0,W2,D2,L1,V0,M1} { function( skol3 ) }.
% 76.15/76.60 (106780) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol4 ) }.
% 76.15/76.60 (106781) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol4 ) }.
% 76.15/76.60 (106782) {G0,W2,D2,L1,V0,M1} { ordinal( skol4 ) }.
% 76.15/76.60 (106783) {G0,W2,D2,L1,V0,M1} { empty( skol5 ) }.
% 76.15/76.60 (106784) {G0,W2,D2,L1,V0,M1} { relation( skol5 ) }.
% 76.15/76.60 (106785) {G0,W2,D2,L1,V0,M1} { empty( skol6 ) }.
% 76.15/76.60 (106786) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 76.15/76.60 (106787) {G0,W2,D2,L1,V0,M1} { empty( skol7 ) }.
% 76.15/76.60 (106788) {G0,W2,D2,L1,V0,M1} { function( skol7 ) }.
% 76.15/76.60 (106789) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 76.15/76.60 (106790) {G0,W2,D2,L1,V0,M1} { function( skol8 ) }.
% 76.15/76.60 (106791) {G0,W2,D2,L1,V0,M1} { one_to_one( skol8 ) }.
% 76.15/76.60 (106792) {G0,W2,D2,L1,V0,M1} { empty( skol8 ) }.
% 76.15/76.60 (106793) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol8 ) }.
% 76.15/76.60 (106794) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol8 ) }.
% 76.15/76.60 (106795) {G0,W2,D2,L1,V0,M1} { ordinal( skol8 ) }.
% 76.15/76.60 (106796) {G0,W2,D2,L1,V0,M1} { ! empty( skol9 ) }.
% 76.15/76.60 (106797) {G0,W2,D2,L1,V0,M1} { relation( skol9 ) }.
% 76.15/76.60 (106798) {G0,W2,D2,L1,V0,M1} { ! empty( skol10 ) }.
% 76.15/76.60 (106799) {G0,W2,D2,L1,V0,M1} { relation( skol11 ) }.
% 76.15/76.60 (106800) {G0,W2,D2,L1,V0,M1} { function( skol11 ) }.
% 76.15/76.60 (106801) {G0,W2,D2,L1,V0,M1} { one_to_one( skol11 ) }.
% 76.15/76.60 (106802) {G0,W2,D2,L1,V0,M1} { ! empty( skol12 ) }.
% 76.15/76.60 (106803) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol12 ) }.
% 76.15/76.60 (106804) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol12 ) }.
% 76.15/76.60 (106805) {G0,W2,D2,L1,V0,M1} { ordinal( skol12 ) }.
% 76.15/76.60 (106806) {G0,W2,D2,L1,V0,M1} { relation( skol13 ) }.
% 76.15/76.60 (106807) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol13 ) }.
% 76.15/76.60 (106808) {G0,W2,D2,L1,V0,M1} { relation( skol14 ) }.
% 76.15/76.60 (106809) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol14 ) }.
% 76.15/76.60 (106810) {G0,W2,D2,L1,V0,M1} { function( skol14 ) }.
% 76.15/76.60 (106811) {G0,W2,D2,L1,V0,M1} { relation( skol15 ) }.
% 76.15/76.60 (106812) {G0,W2,D2,L1,V0,M1} { relation_non_empty( skol15 ) }.
% 76.15/76.60 (106813) {G0,W2,D2,L1,V0,M1} { function( skol15 ) }.
% 76.15/76.60 (106814) {G0,W10,D2,L4,V2,M4} { ! ordinal( X ), ! ordinal( Y ), !
% 76.15/76.60 ordinal_subset( X, Y ), subset( X, Y ) }.
% 76.15/76.60 (106815) {G0,W10,D2,L4,V2,M4} { ! ordinal( X ), ! ordinal( Y ), ! subset(
% 76.15/76.60 X, Y ), ordinal_subset( X, Y ) }.
% 76.15/76.60 (106816) {G0,W7,D2,L3,V2,M3} { ! ordinal( X ), ! ordinal( Y ),
% 76.15/76.60 ordinal_subset( X, X ) }.
% 76.15/76.60 (106817) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 76.15/76.60 (106818) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 76.15/76.60 (106819) {G0,W7,D2,L3,V2,M3} { ! ordinal( X ), ! in( Y, X ), ordinal( Y )
% 76.15/76.60 }.
% 76.15/76.60 (106820) {G0,W13,D2,L5,V2,M5} { ! ordinal( X ), ! ordinal( Y ), in( X, Y )
% 76.15/76.60 , X = Y, in( Y, X ) }.
% 76.15/76.60 (106821) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 76.15/76.60 }.
% 76.15/76.60 (106822) {G0,W2,D2,L1,V0,M1} { ordinal( skol16 ) }.
% 76.15/76.60 (106823) {G0,W3,D2,L1,V0,M1} { subset( skol18, skol16 ) }.
% 76.15/76.60 (106824) {G0,W3,D2,L1,V0,M1} { ! skol18 = empty_set }.
% 76.15/76.60 (106825) {G0,W8,D3,L3,V2,M3} { ! ordinal( X ), ! in( X, skol18 ), ordinal
% 76.15/76.60 ( skol19( Y ) ) }.
% 76.15/76.60 (106826) {G0,W9,D3,L3,V2,M3} { ! ordinal( X ), ! in( X, skol18 ), in(
% 76.15/76.60 skol19( Y ), skol18 ) }.
% 76.15/76.60 (106827) {G0,W9,D3,L3,V1,M3} { ! ordinal( X ), ! in( X, skol18 ), !
% 76.15/76.60 ordinal_subset( X, skol19( X ) ) }.
% 76.15/76.60 (106828) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 76.15/76.60 ) }.
% 76.15/76.60 (106829) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 76.15/76.60 ) }.
% 76.15/76.60 (106830) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y )
% 76.15/76.60 ), element( X, Y ) }.
% 76.15/76.60 (106831) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 76.15/76.60 , ! empty( Z ) }.
% 76.15/76.60 (106832) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 76.15/76.60 (106833) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 76.15/76.60 (106834) {G0,W7,D3,L2,V2,M2} { ! in( X, Y ), in( skol17( Y ), Y ) }.
% 76.15/76.60 (106835) {G0,W10,D3,L3,V3,M3} { ! in( X, Y ), ! in( Z, Y ), ! in( Z,
% 76.15/76.60 skol17( Y ) ) }.
% 76.15/76.60 (106836) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 76.15/76.60
% 76.15/76.60
% 76.15/76.60 Total Proof:
% 76.15/76.60
% 76.15/76.60 subsumption: (0) {G0,W6,D2,L2,V2,M2} I { ! in( X, Y ), ! in( Y, X ) }.
% 76.15/76.60 parent0: (106747) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive
% 76.15/76.60 ( X ) }.
% 76.15/76.60 parent0: (106749) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive
% 76.15/76.60 ( X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (3) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_connected
% 76.15/76.60 ( X ) }.
% 76.15/76.60 parent0: (106750) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected
% 76.15/76.60 ( X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), !
% 76.15/76.60 epsilon_connected( X ), ordinal( X ) }.
% 76.15/76.60 parent0: (106755) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 76.15/76.60 epsilon_connected( X ), ordinal( X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 2 ==> 2
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (8) {G0,W4,D2,L2,V1,M2} I { ! empty( X ), epsilon_connected( X
% 76.15/76.60 ) }.
% 76.15/76.60 parent0: (106757) {G0,W4,D2,L2,V1,M2} { ! empty( X ), epsilon_connected( X
% 76.15/76.60 ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (9) {G0,W4,D2,L2,V1,M2} I { ! empty( X ), ordinal( X ) }.
% 76.15/76.60 parent0: (106758) {G0,W4,D2,L2,V1,M2} { ! empty( X ), ordinal( X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (11) {G0,W8,D2,L3,V2,M3} I { ! epsilon_transitive( X ), ! in(
% 76.15/76.60 Y, X ), subset( Y, X ) }.
% 76.15/76.60 parent0: (106760) {G0,W8,D2,L3,V2,M3} { ! epsilon_transitive( X ), ! in( Y
% 76.15/76.60 , X ), subset( Y, X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 2 ==> 2
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (12) {G0,W6,D3,L2,V1,M2} I { in( skol1( X ), X ),
% 76.15/76.60 epsilon_transitive( X ) }.
% 76.15/76.60 parent0: (106761) {G0,W6,D3,L2,V1,M2} { in( skol1( X ), X ),
% 76.15/76.60 epsilon_transitive( X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (14) {G0,W4,D3,L1,V1,M1} I { element( skol2( X ), X ) }.
% 76.15/76.60 parent0: (106763) {G0,W4,D3,L1,V1,M1} { element( skol2( X ), X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (15) {G0,W2,D2,L1,V0,M1} I { empty( empty_set ) }.
% 76.15/76.60 parent0: (106764) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (22) {G0,W2,D2,L1,V0,M1} I { ordinal( empty_set ) }.
% 76.15/76.60 parent0: (106775) {G0,W2,D2,L1,V0,M1} { ordinal( empty_set ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (47) {G0,W2,D2,L1,V0,M1} I { ! empty( skol12 ) }.
% 76.15/76.60 parent0: (106802) {G0,W2,D2,L1,V0,M1} { ! empty( skol12 ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (48) {G0,W2,D2,L1,V0,M1} I { epsilon_transitive( skol12 ) }.
% 76.15/76.60 parent0: (106803) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol12 ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (50) {G0,W2,D2,L1,V0,M1} I { ordinal( skol12 ) }.
% 76.15/76.60 parent0: (106805) {G0,W2,D2,L1,V0,M1} { ordinal( skol12 ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (60) {G0,W10,D2,L4,V2,M4} I { ! ordinal( X ), ! ordinal( Y ),
% 76.15/76.60 ! subset( X, Y ), ordinal_subset( X, Y ) }.
% 76.15/76.60 parent0: (106815) {G0,W10,D2,L4,V2,M4} { ! ordinal( X ), ! ordinal( Y ), !
% 76.15/76.60 subset( X, Y ), ordinal_subset( X, Y ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 2 ==> 2
% 76.15/76.60 3 ==> 3
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (62) {G0,W3,D2,L1,V1,M1} I { subset( X, X ) }.
% 76.15/76.60 parent0: (106817) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (63) {G0,W6,D2,L2,V2,M2} I { ! in( X, Y ), element( X, Y ) }.
% 76.15/76.60 parent0: (106818) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (64) {G0,W7,D2,L3,V2,M3} I { ! ordinal( X ), ! in( Y, X ),
% 76.15/76.60 ordinal( Y ) }.
% 76.15/76.60 parent0: (106819) {G0,W7,D2,L3,V2,M3} { ! ordinal( X ), ! in( Y, X ),
% 76.15/76.60 ordinal( Y ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 2 ==> 2
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (65) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ),
% 76.15/76.60 in( X, Y ), X = Y, in( Y, X ) }.
% 76.15/76.60 parent0: (106820) {G0,W13,D2,L5,V2,M5} { ! ordinal( X ), ! ordinal( Y ),
% 76.15/76.60 in( X, Y ), X = Y, in( Y, X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 2 ==> 2
% 76.15/76.60 3 ==> 3
% 76.15/76.60 4 ==> 4
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (66) {G0,W8,D2,L3,V2,M3} I { ! element( X, Y ), empty( Y ), in
% 76.15/76.60 ( X, Y ) }.
% 76.15/76.60 parent0: (106821) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in
% 76.15/76.60 ( X, Y ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 2 ==> 2
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (67) {G0,W2,D2,L1,V0,M1} I { ordinal( skol16 ) }.
% 76.15/76.60 parent0: (106822) {G0,W2,D2,L1,V0,M1} { ordinal( skol16 ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (68) {G0,W3,D2,L1,V0,M1} I { subset( skol18, skol16 ) }.
% 76.15/76.60 parent0: (106823) {G0,W3,D2,L1,V0,M1} { subset( skol18, skol16 ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (69) {G0,W3,D2,L1,V0,M1} I { ! skol18 ==> empty_set }.
% 76.15/76.60 parent0: (106824) {G0,W3,D2,L1,V0,M1} { ! skol18 = empty_set }.
% 76.15/76.60 substitution0:
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (71) {G0,W9,D3,L3,V2,M3} I { ! ordinal( X ), ! in( X, skol18 )
% 76.15/76.60 , in( skol19( Y ), skol18 ) }.
% 76.15/76.60 parent0: (106826) {G0,W9,D3,L3,V2,M3} { ! ordinal( X ), ! in( X, skol18 )
% 76.15/76.60 , in( skol19( Y ), skol18 ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 2 ==> 2
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (72) {G0,W9,D3,L3,V1,M3} I { ! ordinal( X ), ! in( X, skol18 )
% 76.15/76.60 , ! ordinal_subset( X, skol19( X ) ) }.
% 76.15/76.60 parent0: (106827) {G0,W9,D3,L3,V1,M3} { ! ordinal( X ), ! in( X, skol18 )
% 76.15/76.60 , ! ordinal_subset( X, skol19( X ) ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 2 ==> 2
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (73) {G0,W7,D3,L2,V2,M2} I { ! element( X, powerset( Y ) ),
% 76.15/76.60 subset( X, Y ) }.
% 76.15/76.60 parent0: (106828) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ),
% 76.15/76.60 subset( X, Y ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (74) {G0,W7,D3,L2,V2,M2} I { ! subset( X, Y ), element( X,
% 76.15/76.60 powerset( Y ) ) }.
% 76.15/76.60 parent0: (106829) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X,
% 76.15/76.60 powerset( Y ) ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (75) {G0,W10,D3,L3,V3,M3} I { ! in( X, Z ), ! element( Z,
% 76.15/76.60 powerset( Y ) ), element( X, Y ) }.
% 76.15/76.60 parent0: (106830) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z,
% 76.15/76.60 powerset( Y ) ), element( X, Y ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 Z := Z
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 2 ==> 2
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (76) {G0,W9,D3,L3,V3,M3} I { ! in( X, Y ), ! element( Y,
% 76.15/76.60 powerset( Z ) ), ! empty( Z ) }.
% 76.15/76.60 parent0: (106831) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y,
% 76.15/76.60 powerset( Z ) ), ! empty( Z ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 Z := Z
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 2 ==> 2
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (77) {G0,W5,D2,L2,V1,M2} I { ! empty( X ), X = empty_set }.
% 76.15/76.60 parent0: (106832) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (78) {G0,W5,D2,L2,V2,M2} I { ! in( X, Y ), ! empty( Y ) }.
% 76.15/76.60 parent0: (106833) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (79) {G0,W7,D3,L2,V2,M2} I { ! in( X, Y ), in( skol17( Y ), Y
% 76.15/76.60 ) }.
% 76.15/76.60 parent0: (106834) {G0,W7,D3,L2,V2,M2} { ! in( X, Y ), in( skol17( Y ), Y )
% 76.15/76.60 }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (80) {G0,W10,D3,L3,V3,M3} I { ! in( X, Y ), ! in( Z, Y ), ! in
% 76.15/76.60 ( Z, skol17( Y ) ) }.
% 76.15/76.60 parent0: (106835) {G0,W10,D3,L3,V3,M3} { ! in( X, Y ), ! in( Z, Y ), ! in
% 76.15/76.60 ( Z, skol17( Y ) ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 Z := Z
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 2 ==> 2
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 factor: (107068) {G0,W3,D2,L1,V1,M1} { ! in( X, X ) }.
% 76.15/76.60 parent0[0, 1]: (0) {G0,W6,D2,L2,V2,M2} I { ! in( X, Y ), ! in( Y, X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := X
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (82) {G1,W3,D2,L1,V1,M1} F(0) { ! in( X, X ) }.
% 76.15/76.60 parent0: (107068) {G0,W3,D2,L1,V1,M1} { ! in( X, X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 factor: (107069) {G0,W7,D3,L2,V2,M2} { ! in( X, Y ), ! in( X, skol17( Y )
% 76.15/76.60 ) }.
% 76.15/76.60 parent0[0, 1]: (80) {G0,W10,D3,L3,V3,M3} I { ! in( X, Y ), ! in( Z, Y ), !
% 76.15/76.60 in( Z, skol17( Y ) ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 Z := X
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (84) {G1,W7,D3,L2,V2,M2} F(80) { ! in( X, Y ), ! in( X, skol17
% 76.15/76.60 ( Y ) ) }.
% 76.15/76.60 parent0: (107069) {G0,W7,D3,L2,V2,M2} { ! in( X, Y ), ! in( X, skol17( Y )
% 76.15/76.60 ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 resolution: (107070) {G1,W8,D2,L3,V2,M3} { ! in( Y, X ), subset( Y, X ), !
% 76.15/76.60 ordinal( X ) }.
% 76.15/76.60 parent0[0]: (11) {G0,W8,D2,L3,V2,M3} I { ! epsilon_transitive( X ), ! in( Y
% 76.15/76.60 , X ), subset( Y, X ) }.
% 76.15/76.60 parent1[1]: (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive
% 76.15/76.60 ( X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 substitution1:
% 76.15/76.60 X := X
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (126) {G1,W8,D2,L3,V2,M3} R(11,2) { ! in( X, Y ), subset( X, Y
% 76.15/76.60 ), ! ordinal( Y ) }.
% 76.15/76.60 parent0: (107070) {G1,W8,D2,L3,V2,M3} { ! in( Y, X ), subset( Y, X ), !
% 76.15/76.60 ordinal( X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := Y
% 76.15/76.60 Y := X
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 2 ==> 2
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 resolution: (107071) {G1,W6,D2,L2,V1,M2} { ! in( X, skol12 ), subset( X,
% 76.15/76.60 skol12 ) }.
% 76.15/76.60 parent0[0]: (11) {G0,W8,D2,L3,V2,M3} I { ! epsilon_transitive( X ), ! in( Y
% 76.15/76.60 , X ), subset( Y, X ) }.
% 76.15/76.60 parent1[0]: (48) {G0,W2,D2,L1,V0,M1} I { epsilon_transitive( skol12 ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := skol12
% 76.15/76.60 Y := X
% 76.15/76.60 end
% 76.15/76.60 substitution1:
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (127) {G1,W6,D2,L2,V1,M2} R(11,48) { ! in( X, skol12 ), subset
% 76.15/76.60 ( X, skol12 ) }.
% 76.15/76.60 parent0: (107071) {G1,W6,D2,L2,V1,M2} { ! in( X, skol12 ), subset( X,
% 76.15/76.60 skol12 ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 0
% 76.15/76.60 1 ==> 1
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 resolution: (107072) {G1,W10,D3,L3,V2,M3} { ! in( Y, X ), subset( Y, X ),
% 76.15/76.60 in( skol1( X ), X ) }.
% 76.15/76.60 parent0[0]: (11) {G0,W8,D2,L3,V2,M3} I { ! epsilon_transitive( X ), ! in( Y
% 76.15/76.60 , X ), subset( Y, X ) }.
% 76.15/76.60 parent1[1]: (12) {G0,W6,D3,L2,V1,M2} I { in( skol1( X ), X ),
% 76.15/76.60 epsilon_transitive( X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 substitution1:
% 76.15/76.60 X := X
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 subsumption: (130) {G1,W10,D3,L3,V2,M3} R(12,11) { in( skol1( X ), X ), !
% 76.15/76.60 in( Y, X ), subset( Y, X ) }.
% 76.15/76.60 parent0: (107072) {G1,W10,D3,L3,V2,M3} { ! in( Y, X ), subset( Y, X ), in
% 76.15/76.60 ( skol1( X ), X ) }.
% 76.15/76.60 substitution0:
% 76.15/76.60 X := X
% 76.15/76.60 Y := Y
% 76.15/76.60 end
% 76.15/76.60 permutation0:
% 76.15/76.60 0 ==> 1
% 76.15/76.60 1 ==> 2
% 76.15/76.60 2 ==> 0
% 76.15/76.60 end
% 76.15/76.60
% 76.15/76.60 resolution: (107074) {G1,W3,D2,L1,V1,M1} { ! in( X, empty_set ) }.
% 76.15/76.60 parent0[1]: (78) {G0,W5,D2,L2,V2,M2} I { ! in( X, Y ), ! empty( Y ) }.
% 76.15/76.60 parent1[0]: (15) {G0,W2,D2,L1,V0,M1} I { empty( empty_set ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 Y := empty_set
% 76.20/76.60 end
% 76.20/76.60 substitution1:
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 subsumption: (183) {G1,W3,D2,L1,V1,M1} R(78,15) { ! in( X, empty_set ) }.
% 76.20/76.60 parent0: (107074) {G1,W3,D2,L1,V1,M1} { ! in( X, empty_set ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 end
% 76.20/76.60 permutation0:
% 76.20/76.60 0 ==> 0
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 resolution: (107075) {G1,W13,D2,L5,V3,M5} { ! ordinal( Y ), ! subset( X, Y
% 76.20/76.60 ), ordinal_subset( X, Y ), ! ordinal( Z ), ! in( X, Z ) }.
% 76.20/76.60 parent0[0]: (60) {G0,W10,D2,L4,V2,M4} I { ! ordinal( X ), ! ordinal( Y ), !
% 76.20/76.60 subset( X, Y ), ordinal_subset( X, Y ) }.
% 76.20/76.60 parent1[2]: (64) {G0,W7,D2,L3,V2,M3} I { ! ordinal( X ), ! in( Y, X ),
% 76.20/76.60 ordinal( Y ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 Y := Y
% 76.20/76.60 end
% 76.20/76.60 substitution1:
% 76.20/76.60 X := Z
% 76.20/76.60 Y := X
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 subsumption: (189) {G1,W13,D2,L5,V3,M5} R(64,60) { ! ordinal( X ), ! in( Y
% 76.20/76.60 , X ), ! ordinal( Z ), ! subset( Y, Z ), ordinal_subset( Y, Z ) }.
% 76.20/76.60 parent0: (107075) {G1,W13,D2,L5,V3,M5} { ! ordinal( Y ), ! subset( X, Y )
% 76.20/76.60 , ordinal_subset( X, Y ), ! ordinal( Z ), ! in( X, Z ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := Y
% 76.20/76.60 Y := Z
% 76.20/76.60 Z := X
% 76.20/76.60 end
% 76.20/76.60 permutation0:
% 76.20/76.60 0 ==> 2
% 76.20/76.60 1 ==> 3
% 76.20/76.60 2 ==> 4
% 76.20/76.60 3 ==> 0
% 76.20/76.60 4 ==> 1
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 resolution: (107079) {G1,W5,D2,L2,V1,M2} { ! in( X, skol12 ), ordinal( X )
% 76.20/76.60 }.
% 76.20/76.60 parent0[0]: (64) {G0,W7,D2,L3,V2,M3} I { ! ordinal( X ), ! in( Y, X ),
% 76.20/76.60 ordinal( Y ) }.
% 76.20/76.60 parent1[0]: (50) {G0,W2,D2,L1,V0,M1} I { ordinal( skol12 ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := skol12
% 76.20/76.60 Y := X
% 76.20/76.60 end
% 76.20/76.60 substitution1:
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 subsumption: (198) {G1,W5,D2,L2,V1,M2} R(64,50) { ! in( X, skol12 ),
% 76.20/76.60 ordinal( X ) }.
% 76.20/76.60 parent0: (107079) {G1,W5,D2,L2,V1,M2} { ! in( X, skol12 ), ordinal( X )
% 76.20/76.60 }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 end
% 76.20/76.60 permutation0:
% 76.20/76.60 0 ==> 0
% 76.20/76.60 1 ==> 1
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 resolution: (107080) {G1,W5,D2,L2,V1,M2} { ! in( X, skol16 ), ordinal( X )
% 76.20/76.60 }.
% 76.20/76.60 parent0[0]: (64) {G0,W7,D2,L3,V2,M3} I { ! ordinal( X ), ! in( Y, X ),
% 76.20/76.60 ordinal( Y ) }.
% 76.20/76.60 parent1[0]: (67) {G0,W2,D2,L1,V0,M1} I { ordinal( skol16 ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := skol16
% 76.20/76.60 Y := X
% 76.20/76.60 end
% 76.20/76.60 substitution1:
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 subsumption: (199) {G1,W5,D2,L2,V1,M2} R(64,67) { ! in( X, skol16 ),
% 76.20/76.60 ordinal( X ) }.
% 76.20/76.60 parent0: (107080) {G1,W5,D2,L2,V1,M2} { ! in( X, skol16 ), ordinal( X )
% 76.20/76.60 }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 end
% 76.20/76.60 permutation0:
% 76.20/76.60 0 ==> 0
% 76.20/76.60 1 ==> 1
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 factor: (107081) {G1,W11,D2,L4,V2,M4} { ! ordinal( X ), ! in( Y, X ), !
% 76.20/76.60 subset( Y, X ), ordinal_subset( Y, X ) }.
% 76.20/76.60 parent0[0, 2]: (189) {G1,W13,D2,L5,V3,M5} R(64,60) { ! ordinal( X ), ! in(
% 76.20/76.60 Y, X ), ! ordinal( Z ), ! subset( Y, Z ), ordinal_subset( Y, Z ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 Y := Y
% 76.20/76.60 Z := X
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 resolution: (107082) {G2,W13,D2,L5,V2,M5} { ! ordinal( X ), ! in( Y, X ),
% 76.20/76.60 ordinal_subset( Y, X ), ! in( Y, X ), ! ordinal( X ) }.
% 76.20/76.60 parent0[2]: (107081) {G1,W11,D2,L4,V2,M4} { ! ordinal( X ), ! in( Y, X ),
% 76.20/76.60 ! subset( Y, X ), ordinal_subset( Y, X ) }.
% 76.20/76.60 parent1[1]: (126) {G1,W8,D2,L3,V2,M3} R(11,2) { ! in( X, Y ), subset( X, Y
% 76.20/76.60 ), ! ordinal( Y ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 Y := Y
% 76.20/76.60 end
% 76.20/76.60 substitution1:
% 76.20/76.60 X := Y
% 76.20/76.60 Y := X
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 factor: (107084) {G2,W10,D2,L4,V2,M4} { ! ordinal( X ), ! in( Y, X ),
% 76.20/76.60 ordinal_subset( Y, X ), ! ordinal( X ) }.
% 76.20/76.60 parent0[1, 3]: (107082) {G2,W13,D2,L5,V2,M5} { ! ordinal( X ), ! in( Y, X
% 76.20/76.60 ), ordinal_subset( Y, X ), ! in( Y, X ), ! ordinal( X ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 Y := Y
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 factor: (107085) {G2,W8,D2,L3,V2,M3} { ! ordinal( X ), ! in( Y, X ),
% 76.20/76.60 ordinal_subset( Y, X ) }.
% 76.20/76.60 parent0[0, 3]: (107084) {G2,W10,D2,L4,V2,M4} { ! ordinal( X ), ! in( Y, X
% 76.20/76.60 ), ordinal_subset( Y, X ), ! ordinal( X ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 Y := Y
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 subsumption: (203) {G2,W8,D2,L3,V2,M3} F(189);r(126) { ! ordinal( X ), ! in
% 76.20/76.60 ( Y, X ), ordinal_subset( Y, X ) }.
% 76.20/76.60 parent0: (107085) {G2,W8,D2,L3,V2,M3} { ! ordinal( X ), ! in( Y, X ),
% 76.20/76.60 ordinal_subset( Y, X ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 Y := Y
% 76.20/76.60 end
% 76.20/76.60 permutation0:
% 76.20/76.60 0 ==> 0
% 76.20/76.60 1 ==> 1
% 76.20/76.60 2 ==> 2
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 resolution: (107086) {G1,W10,D2,L4,V1,M4} { ! ordinal( X ), ! ordinal(
% 76.20/76.60 empty_set ), X = empty_set, in( empty_set, X ) }.
% 76.20/76.60 parent0[0]: (183) {G1,W3,D2,L1,V1,M1} R(78,15) { ! in( X, empty_set ) }.
% 76.20/76.60 parent1[2]: (65) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ),
% 76.20/76.60 in( X, Y ), X = Y, in( Y, X ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 end
% 76.20/76.60 substitution1:
% 76.20/76.60 X := X
% 76.20/76.60 Y := empty_set
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 resolution: (107089) {G1,W8,D2,L3,V1,M3} { ! ordinal( X ), X = empty_set,
% 76.20/76.60 in( empty_set, X ) }.
% 76.20/76.60 parent0[1]: (107086) {G1,W10,D2,L4,V1,M4} { ! ordinal( X ), ! ordinal(
% 76.20/76.60 empty_set ), X = empty_set, in( empty_set, X ) }.
% 76.20/76.60 parent1[0]: (22) {G0,W2,D2,L1,V0,M1} I { ordinal( empty_set ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 end
% 76.20/76.60 substitution1:
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 subsumption: (219) {G2,W8,D2,L3,V1,M3} R(65,183);r(22) { ! ordinal( X ), X
% 76.20/76.60 = empty_set, in( empty_set, X ) }.
% 76.20/76.60 parent0: (107089) {G1,W8,D2,L3,V1,M3} { ! ordinal( X ), X = empty_set, in
% 76.20/76.60 ( empty_set, X ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 end
% 76.20/76.60 permutation0:
% 76.20/76.60 0 ==> 0
% 76.20/76.60 1 ==> 1
% 76.20/76.60 2 ==> 2
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 resolution: (107091) {G1,W15,D2,L6,V2,M6} { ! epsilon_transitive( X ),
% 76.20/76.60 subset( Y, X ), ! ordinal( Y ), ! ordinal( X ), Y = X, in( X, Y ) }.
% 76.20/76.60 parent0[1]: (11) {G0,W8,D2,L3,V2,M3} I { ! epsilon_transitive( X ), ! in( Y
% 76.20/76.60 , X ), subset( Y, X ) }.
% 76.20/76.60 parent1[2]: (65) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ),
% 76.20/76.60 in( X, Y ), X = Y, in( Y, X ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 Y := Y
% 76.20/76.60 end
% 76.20/76.60 substitution1:
% 76.20/76.60 X := Y
% 76.20/76.60 Y := X
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 resolution: (107094) {G1,W15,D2,L6,V2,M6} { subset( Y, X ), ! ordinal( Y )
% 76.20/76.60 , ! ordinal( X ), Y = X, in( X, Y ), ! ordinal( X ) }.
% 76.20/76.60 parent0[0]: (107091) {G1,W15,D2,L6,V2,M6} { ! epsilon_transitive( X ),
% 76.20/76.60 subset( Y, X ), ! ordinal( Y ), ! ordinal( X ), Y = X, in( X, Y ) }.
% 76.20/76.60 parent1[1]: (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive
% 76.20/76.60 ( X ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 Y := Y
% 76.20/76.60 end
% 76.20/76.60 substitution1:
% 76.20/76.60 X := X
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 factor: (107099) {G1,W13,D2,L5,V2,M5} { subset( X, Y ), ! ordinal( X ), !
% 76.20/76.60 ordinal( Y ), X = Y, in( Y, X ) }.
% 76.20/76.60 parent0[2, 5]: (107094) {G1,W15,D2,L6,V2,M6} { subset( Y, X ), ! ordinal(
% 76.20/76.60 Y ), ! ordinal( X ), Y = X, in( X, Y ), ! ordinal( X ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := Y
% 76.20/76.60 Y := X
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 subsumption: (222) {G1,W13,D2,L5,V2,M5} R(65,11);r(2) { ! ordinal( X ), !
% 76.20/76.60 ordinal( Y ), X = Y, in( Y, X ), subset( X, Y ) }.
% 76.20/76.60 parent0: (107099) {G1,W13,D2,L5,V2,M5} { subset( X, Y ), ! ordinal( X ), !
% 76.20/76.60 ordinal( Y ), X = Y, in( Y, X ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 Y := Y
% 76.20/76.60 end
% 76.20/76.60 permutation0:
% 76.20/76.60 0 ==> 4
% 76.20/76.60 1 ==> 0
% 76.20/76.60 2 ==> 1
% 76.20/76.60 3 ==> 2
% 76.20/76.60 4 ==> 3
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 resolution: (107100) {G1,W11,D2,L4,V2,M4} { ! ordinal( Y ), ! subset( X, Y
% 76.20/76.60 ), ordinal_subset( X, Y ), ! in( X, skol12 ) }.
% 76.20/76.60 parent0[0]: (60) {G0,W10,D2,L4,V2,M4} I { ! ordinal( X ), ! ordinal( Y ), !
% 76.20/76.60 subset( X, Y ), ordinal_subset( X, Y ) }.
% 76.20/76.60 parent1[1]: (198) {G1,W5,D2,L2,V1,M2} R(64,50) { ! in( X, skol12 ), ordinal
% 76.20/76.60 ( X ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 Y := Y
% 76.20/76.60 end
% 76.20/76.60 substitution1:
% 76.20/76.60 X := X
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 subsumption: (281) {G2,W11,D2,L4,V2,M4} R(198,60) { ! in( X, skol12 ), !
% 76.20/76.60 ordinal( Y ), ! subset( X, Y ), ordinal_subset( X, Y ) }.
% 76.20/76.60 parent0: (107100) {G1,W11,D2,L4,V2,M4} { ! ordinal( Y ), ! subset( X, Y )
% 76.20/76.60 , ordinal_subset( X, Y ), ! in( X, skol12 ) }.
% 76.20/76.60 substitution0:
% 76.20/76.60 X := X
% 76.20/76.60 Y := Y
% 76.20/76.60 end
% 76.20/76.60 permutation0:
% 76.20/76.60 0 ==> 1
% 76.20/76.60 1 ==> 2
% 76.20/76.60 2 ==> 3
% 76.20/76.60 3 ==> 0
% 76.20/76.60 end
% 76.20/76.60
% 76.20/76.60 resolution: (107102) {G1,W6,D3,L2,V1,M2} { empty( X ), in( skol2( X ), X )
% 76.20/76.60 }.
% 76.20/76.60 parent0[0]: (66) {Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------