TSTP Solution File: NUM404+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM404+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 06:21:58 EDT 2022
% Result : Theorem 8.86s 9.26s
% Output : Refutation 8.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM404+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jul 6 08:14:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.76/1.46 *** allocated 10000 integers for termspace/termends
% 0.76/1.46 *** allocated 10000 integers for clauses
% 0.76/1.46 *** allocated 10000 integers for justifications
% 0.76/1.46 Bliksem 1.12
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 Automatic Strategy Selection
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 Clauses:
% 0.76/1.46
% 0.76/1.46 { ! in( X, Y ), ! in( Y, X ) }.
% 0.76/1.46 { ! empty( X ), function( X ) }.
% 0.76/1.46 { ! ordinal( X ), epsilon_transitive( X ) }.
% 0.76/1.46 { ! ordinal( X ), epsilon_connected( X ) }.
% 0.76/1.46 { ! empty( X ), relation( X ) }.
% 0.76/1.46 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 0.76/1.46 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 0.76/1.46 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 0.76/1.46 { ! epsilon_transitive( X ), ! epsilon_connected( X ), ordinal( X ) }.
% 0.76/1.46 { ! empty( X ), epsilon_transitive( X ) }.
% 0.76/1.46 { ! empty( X ), epsilon_connected( X ) }.
% 0.76/1.46 { ! empty( X ), ordinal( X ) }.
% 0.76/1.46 { ! epsilon_transitive( X ), ! in( Y, X ), subset( Y, X ) }.
% 0.76/1.46 { in( skol1( X ), X ), epsilon_transitive( X ) }.
% 0.76/1.46 { ! subset( skol1( X ), X ), epsilon_transitive( X ) }.
% 0.76/1.46 { ! epsilon_connected( X ), ! in( Y, X ), ! alpha2( X, Y, Z ) }.
% 0.76/1.46 { in( skol2( X ), X ), epsilon_connected( X ) }.
% 0.76/1.46 { alpha2( X, skol2( X ), skol19( X ) ), epsilon_connected( X ) }.
% 0.76/1.46 { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 0.76/1.46 { ! alpha2( X, Y, Z ), alpha1( Y, Z ) }.
% 0.76/1.46 { ! in( Z, X ), ! alpha1( Y, Z ), alpha2( X, Y, Z ) }.
% 0.76/1.46 { ! alpha1( X, Y ), ! in( X, Y ) }.
% 0.76/1.46 { ! alpha1( X, Y ), alpha3( X, Y ) }.
% 0.76/1.46 { in( X, Y ), ! alpha3( X, Y ), alpha1( X, Y ) }.
% 0.76/1.46 { ! alpha3( X, Y ), ! X = Y }.
% 0.76/1.46 { ! alpha3( X, Y ), ! in( Y, X ) }.
% 0.76/1.46 { X = Y, in( Y, X ), alpha3( X, Y ) }.
% 0.76/1.46 { ! subset( X, Y ), ! in( Z, X ), in( Z, Y ) }.
% 0.76/1.46 { ! in( skol3( Z, Y ), Y ), subset( X, Y ) }.
% 0.76/1.46 { in( skol3( X, Y ), X ), subset( X, Y ) }.
% 0.76/1.46 { ! ordinal( X ), epsilon_transitive( X ) }.
% 0.76/1.46 { ! ordinal( X ), epsilon_connected( X ) }.
% 0.76/1.46 { ! epsilon_transitive( X ), ! epsilon_connected( X ), ordinal( X ) }.
% 0.76/1.46 { element( skol4( X ), X ) }.
% 0.76/1.46 { empty( empty_set ) }.
% 0.76/1.46 { relation( empty_set ) }.
% 0.76/1.46 { relation_empty_yielding( empty_set ) }.
% 0.76/1.46 { empty( empty_set ) }.
% 0.76/1.46 { relation( empty_set ) }.
% 0.76/1.46 { relation_empty_yielding( empty_set ) }.
% 0.76/1.46 { function( empty_set ) }.
% 0.76/1.46 { one_to_one( empty_set ) }.
% 0.76/1.46 { empty( empty_set ) }.
% 0.76/1.46 { epsilon_transitive( empty_set ) }.
% 0.76/1.46 { epsilon_connected( empty_set ) }.
% 0.76/1.46 { ordinal( empty_set ) }.
% 0.76/1.46 { empty( empty_set ) }.
% 0.76/1.46 { relation( empty_set ) }.
% 0.76/1.46 { relation( skol5 ) }.
% 0.76/1.46 { function( skol5 ) }.
% 0.76/1.46 { epsilon_transitive( skol6 ) }.
% 0.76/1.46 { epsilon_connected( skol6 ) }.
% 0.76/1.46 { ordinal( skol6 ) }.
% 0.76/1.46 { empty( skol7 ) }.
% 0.76/1.46 { relation( skol7 ) }.
% 0.76/1.46 { empty( skol8 ) }.
% 0.76/1.46 { relation( skol9 ) }.
% 0.76/1.46 { empty( skol9 ) }.
% 0.76/1.46 { function( skol9 ) }.
% 0.76/1.46 { relation( skol10 ) }.
% 0.76/1.46 { function( skol10 ) }.
% 0.76/1.46 { one_to_one( skol10 ) }.
% 0.76/1.46 { empty( skol10 ) }.
% 0.76/1.46 { epsilon_transitive( skol10 ) }.
% 0.76/1.46 { epsilon_connected( skol10 ) }.
% 0.76/1.46 { ordinal( skol10 ) }.
% 0.76/1.46 { ! empty( skol11 ) }.
% 0.76/1.46 { relation( skol11 ) }.
% 0.76/1.46 { ! empty( skol12 ) }.
% 0.76/1.46 { relation( skol13 ) }.
% 0.76/1.46 { function( skol13 ) }.
% 0.76/1.46 { one_to_one( skol13 ) }.
% 0.76/1.46 { ! empty( skol14 ) }.
% 0.76/1.46 { epsilon_transitive( skol14 ) }.
% 0.76/1.46 { epsilon_connected( skol14 ) }.
% 0.76/1.46 { ordinal( skol14 ) }.
% 0.76/1.46 { relation( skol15 ) }.
% 0.76/1.46 { relation_empty_yielding( skol15 ) }.
% 0.76/1.46 { relation( skol16 ) }.
% 0.76/1.46 { relation_empty_yielding( skol16 ) }.
% 0.76/1.46 { function( skol16 ) }.
% 0.76/1.46 { relation( skol17 ) }.
% 0.76/1.46 { relation_non_empty( skol17 ) }.
% 0.76/1.46 { function( skol17 ) }.
% 0.76/1.46 { subset( X, X ) }.
% 0.76/1.46 { ! in( X, Y ), element( X, Y ) }.
% 0.76/1.46 { ! ordinal( X ), ! in( Y, X ), ordinal( Y ) }.
% 0.76/1.46 { ! ordinal( X ), ! ordinal( Y ), in( X, Y ), X = Y, in( Y, X ) }.
% 0.76/1.46 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.76/1.46 { ! in( X, skol18 ), ordinal( X ) }.
% 0.76/1.46 { ! ordinal( X ), in( X, skol18 ) }.
% 0.76/1.46 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 0.76/1.46 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 0.76/1.46 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 0.76/1.46 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 0.76/1.46 { ! empty( X ), X = empty_set }.
% 0.76/1.46 { ! in( X, Y ), ! empty( Y ) }.
% 0.76/1.46 { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.76/1.46
% 0.76/1.46 percentage equality = 0.034483, percentage horn = 0.908046
% 0.76/1.46 This is a problem with some equality
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46
% 0.76/1.46 Options Used:
% 0.76/1.46
% 0.76/1.46 useres = 1
% 0.76/1.46 useparamod = 1
% 0.76/1.46 useeqrefl = 1
% 0.76/1.46 useeqfact = 1
% 0.76/1.46 usefactor = 1
% 0.76/1.46 usesimpsplitting = 0
% 0.76/1.46 usesimpdemod = 5
% 0.76/1.46 usesimpres = 3
% 0.76/1.46
% 0.76/1.46 resimpinuse = 1000
% 8.86/9.26 resimpclauses = 20000
% 8.86/9.26 substype = eqrewr
% 8.86/9.26 backwardsubs = 1
% 8.86/9.26 selectoldest = 5
% 8.86/9.26
% 8.86/9.26 litorderings [0] = split
% 8.86/9.26 litorderings [1] = extend the termordering, first sorting on arguments
% 8.86/9.26
% 8.86/9.26 termordering = kbo
% 8.86/9.26
% 8.86/9.26 litapriori = 0
% 8.86/9.26 termapriori = 1
% 8.86/9.26 litaposteriori = 0
% 8.86/9.26 termaposteriori = 0
% 8.86/9.26 demodaposteriori = 0
% 8.86/9.26 ordereqreflfact = 0
% 8.86/9.26
% 8.86/9.26 litselect = negord
% 8.86/9.26
% 8.86/9.26 maxweight = 15
% 8.86/9.26 maxdepth = 30000
% 8.86/9.26 maxlength = 115
% 8.86/9.26 maxnrvars = 195
% 8.86/9.26 excuselevel = 1
% 8.86/9.26 increasemaxweight = 1
% 8.86/9.26
% 8.86/9.26 maxselected = 10000000
% 8.86/9.26 maxnrclauses = 10000000
% 8.86/9.26
% 8.86/9.26 showgenerated = 0
% 8.86/9.26 showkept = 0
% 8.86/9.26 showselected = 0
% 8.86/9.26 showdeleted = 0
% 8.86/9.26 showresimp = 1
% 8.86/9.26 showstatus = 2000
% 8.86/9.26
% 8.86/9.26 prologoutput = 0
% 8.86/9.26 nrgoals = 5000000
% 8.86/9.26 totalproof = 1
% 8.86/9.26
% 8.86/9.26 Symbols occurring in the translation:
% 8.86/9.26
% 8.86/9.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 8.86/9.26 . [1, 2] (w:1, o:43, a:1, s:1, b:0),
% 8.86/9.26 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 8.86/9.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.86/9.26 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.86/9.26 in [37, 2] (w:1, o:67, a:1, s:1, b:0),
% 8.86/9.26 empty [38, 1] (w:1, o:29, a:1, s:1, b:0),
% 8.86/9.26 function [39, 1] (w:1, o:32, a:1, s:1, b:0),
% 8.86/9.26 ordinal [40, 1] (w:1, o:33, a:1, s:1, b:0),
% 8.86/9.26 epsilon_transitive [41, 1] (w:1, o:30, a:1, s:1, b:0),
% 8.86/9.26 epsilon_connected [42, 1] (w:1, o:31, a:1, s:1, b:0),
% 8.86/9.26 relation [43, 1] (w:1, o:34, a:1, s:1, b:0),
% 8.86/9.26 one_to_one [44, 1] (w:1, o:35, a:1, s:1, b:0),
% 8.86/9.26 subset [45, 2] (w:1, o:68, a:1, s:1, b:0),
% 8.86/9.26 element [47, 2] (w:1, o:69, a:1, s:1, b:0),
% 8.86/9.26 empty_set [48, 0] (w:1, o:9, a:1, s:1, b:0),
% 8.86/9.26 relation_empty_yielding [49, 1] (w:1, o:36, a:1, s:1, b:0),
% 8.86/9.26 relation_non_empty [50, 1] (w:1, o:37, a:1, s:1, b:0),
% 8.86/9.26 powerset [51, 1] (w:1, o:38, a:1, s:1, b:0),
% 8.86/9.26 alpha1 [52, 2] (w:1, o:70, a:1, s:1, b:1),
% 8.86/9.26 alpha2 [53, 3] (w:1, o:73, a:1, s:1, b:1),
% 8.86/9.26 alpha3 [54, 2] (w:1, o:71, a:1, s:1, b:1),
% 8.86/9.26 skol1 [55, 1] (w:1, o:39, a:1, s:1, b:1),
% 8.86/9.26 skol2 [56, 1] (w:1, o:41, a:1, s:1, b:1),
% 8.86/9.26 skol3 [57, 2] (w:1, o:72, a:1, s:1, b:1),
% 8.86/9.26 skol4 [58, 1] (w:1, o:42, a:1, s:1, b:1),
% 8.86/9.26 skol5 [59, 0] (w:1, o:10, a:1, s:1, b:1),
% 8.86/9.26 skol6 [60, 0] (w:1, o:11, a:1, s:1, b:1),
% 8.86/9.26 skol7 [61, 0] (w:1, o:12, a:1, s:1, b:1),
% 8.86/9.26 skol8 [62, 0] (w:1, o:13, a:1, s:1, b:1),
% 8.86/9.26 skol9 [63, 0] (w:1, o:14, a:1, s:1, b:1),
% 8.86/9.26 skol10 [64, 0] (w:1, o:15, a:1, s:1, b:1),
% 8.86/9.26 skol11 [65, 0] (w:1, o:16, a:1, s:1, b:1),
% 8.86/9.26 skol12 [66, 0] (w:1, o:17, a:1, s:1, b:1),
% 8.86/9.26 skol13 [67, 0] (w:1, o:18, a:1, s:1, b:1),
% 8.86/9.26 skol14 [68, 0] (w:1, o:19, a:1, s:1, b:1),
% 8.86/9.26 skol15 [69, 0] (w:1, o:20, a:1, s:1, b:1),
% 8.86/9.26 skol16 [70, 0] (w:1, o:21, a:1, s:1, b:1),
% 8.86/9.26 skol17 [71, 0] (w:1, o:22, a:1, s:1, b:1),
% 8.86/9.26 skol18 [72, 0] (w:1, o:23, a:1, s:1, b:1),
% 8.86/9.26 skol19 [73, 1] (w:1, o:40, a:1, s:1, b:1).
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Starting Search:
% 8.86/9.26
% 8.86/9.26 *** allocated 15000 integers for clauses
% 8.86/9.26 *** allocated 22500 integers for clauses
% 8.86/9.26 *** allocated 33750 integers for clauses
% 8.86/9.26 *** allocated 50625 integers for clauses
% 8.86/9.26 *** allocated 15000 integers for termspace/termends
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 *** allocated 75937 integers for clauses
% 8.86/9.26 *** allocated 22500 integers for termspace/termends
% 8.86/9.26 *** allocated 113905 integers for clauses
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 5628
% 8.86/9.26 Kept: 2000
% 8.86/9.26 Inuse: 343
% 8.86/9.26 Deleted: 55
% 8.86/9.26 Deletedinuse: 36
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 *** allocated 33750 integers for termspace/termends
% 8.86/9.26 *** allocated 170857 integers for clauses
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 *** allocated 50625 integers for termspace/termends
% 8.86/9.26 *** allocated 256285 integers for clauses
% 8.86/9.26 *** allocated 75937 integers for termspace/termends
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 13774
% 8.86/9.26 Kept: 4546
% 8.86/9.26 Inuse: 531
% 8.86/9.26 Deleted: 62
% 8.86/9.26 Deletedinuse: 37
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 *** allocated 384427 integers for clauses
% 8.86/9.26 *** allocated 113905 integers for termspace/termends
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 20064
% 8.86/9.26 Kept: 6959
% 8.86/9.26 Inuse: 561
% 8.86/9.26 Deleted: 72
% 8.86/9.26 Deletedinuse: 47
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 27572
% 8.86/9.26 Kept: 8967
% 8.86/9.26 Inuse: 638
% 8.86/9.26 Deleted: 77
% 8.86/9.26 Deletedinuse: 47
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 *** allocated 170857 integers for termspace/termends
% 8.86/9.26 *** allocated 576640 integers for clauses
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 39959
% 8.86/9.26 Kept: 10987
% 8.86/9.26 Inuse: 739
% 8.86/9.26 Deleted: 77
% 8.86/9.26 Deletedinuse: 47
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 47398
% 8.86/9.26 Kept: 13013
% 8.86/9.26 Inuse: 824
% 8.86/9.26 Deleted: 80
% 8.86/9.26 Deletedinuse: 47
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 *** allocated 256285 integers for termspace/termends
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 *** allocated 864960 integers for clauses
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 57055
% 8.86/9.26 Kept: 15033
% 8.86/9.26 Inuse: 904
% 8.86/9.26 Deleted: 84
% 8.86/9.26 Deletedinuse: 47
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 64161
% 8.86/9.26 Kept: 17053
% 8.86/9.26 Inuse: 976
% 8.86/9.26 Deleted: 84
% 8.86/9.26 Deletedinuse: 47
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 71358
% 8.86/9.26 Kept: 19450
% 8.86/9.26 Inuse: 1005
% 8.86/9.26 Deleted: 88
% 8.86/9.26 Deletedinuse: 47
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 *** allocated 384427 integers for termspace/termends
% 8.86/9.26 Resimplifying clauses:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 77148
% 8.86/9.26 Kept: 21559
% 8.86/9.26 Inuse: 1047
% 8.86/9.26 Deleted: 2176
% 8.86/9.26 Deletedinuse: 47
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 *** allocated 1297440 integers for clauses
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 85015
% 8.86/9.26 Kept: 23564
% 8.86/9.26 Inuse: 1088
% 8.86/9.26 Deleted: 2212
% 8.86/9.26 Deletedinuse: 79
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 91032
% 8.86/9.26 Kept: 25607
% 8.86/9.26 Inuse: 1125
% 8.86/9.26 Deleted: 2215
% 8.86/9.26 Deletedinuse: 79
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 96954
% 8.86/9.26 Kept: 27644
% 8.86/9.26 Inuse: 1162
% 8.86/9.26 Deleted: 2220
% 8.86/9.26 Deletedinuse: 79
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 *** allocated 576640 integers for termspace/termends
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 106118
% 8.86/9.26 Kept: 31129
% 8.86/9.26 Inuse: 1202
% 8.86/9.26 Deleted: 2223
% 8.86/9.26 Deletedinuse: 79
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 114574
% 8.86/9.26 Kept: 33143
% 8.86/9.26 Inuse: 1256
% 8.86/9.26 Deleted: 2224
% 8.86/9.26 Deletedinuse: 79
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 *** allocated 1946160 integers for clauses
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 123965
% 8.86/9.26 Kept: 35143
% 8.86/9.26 Inuse: 1316
% 8.86/9.26 Deleted: 2264
% 8.86/9.26 Deletedinuse: 119
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 130286
% 8.86/9.26 Kept: 37143
% 8.86/9.26 Inuse: 1367
% 8.86/9.26 Deleted: 2264
% 8.86/9.26 Deletedinuse: 119
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Intermediate Status:
% 8.86/9.26 Generated: 139256
% 8.86/9.26 Kept: 39169
% 8.86/9.26 Inuse: 1434
% 8.86/9.26 Deleted: 2266
% 8.86/9.26 Deletedinuse: 119
% 8.86/9.26
% 8.86/9.26 Resimplifying inuse:
% 8.86/9.26 Done
% 8.86/9.26
% 8.86/9.26 Resimplifying clauses:
% 8.86/9.26
% 8.86/9.26 Bliksems!, er is een bewijs:
% 8.86/9.26 % SZS status Theorem
% 8.86/9.26 % SZS output start Refutation
% 8.86/9.26
% 8.86/9.26 (0) {G0,W6,D2,L2,V2,M2} I { ! in( X, Y ), ! in( Y, X ) }.
% 8.86/9.26 (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive( X ) }.
% 8.86/9.26 (3) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_connected( X ) }.
% 8.86/9.26 (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), ! epsilon_connected
% 8.86/9.26 ( X ), ordinal( X ) }.
% 8.86/9.26 (11) {G0,W6,D3,L2,V1,M2} I { in( skol1( X ), X ), epsilon_transitive( X )
% 8.86/9.26 }.
% 8.86/9.26 (12) {G0,W6,D3,L2,V1,M2} I { ! subset( skol1( X ), X ), epsilon_transitive
% 8.86/9.26 ( X ) }.
% 8.86/9.26 (14) {G0,W6,D3,L2,V1,M2} I { in( skol2( X ), X ), epsilon_connected( X )
% 8.86/9.26 }.
% 8.86/9.26 (15) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol19( X ) ),
% 8.86/9.26 epsilon_connected( X ) }.
% 8.86/9.26 (16) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 8.86/9.26 (17) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), alpha1( Y, Z ) }.
% 8.86/9.26 (19) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! in( X, Y ) }.
% 8.86/9.26 (20) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y ) }.
% 8.86/9.26 (22) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! X = Y }.
% 8.86/9.26 (23) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! in( Y, X ) }.
% 8.86/9.26 (26) {G0,W8,D3,L2,V3,M2} I { ! in( skol3( Z, Y ), Y ), subset( X, Y ) }.
% 8.86/9.26 (27) {G0,W8,D3,L2,V2,M2} I { in( skol3( X, Y ), X ), subset( X, Y ) }.
% 8.86/9.26 (75) {G0,W7,D2,L3,V2,M3} I { ! ordinal( X ), ! in( Y, X ), ordinal( Y ) }.
% 8.86/9.26 (76) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ), in( X, Y ), X
% 8.86/9.26 = Y, in( Y, X ) }.
% 8.86/9.26 (78) {G0,W5,D2,L2,V1,M2} I { ! in( X, skol18 ), ordinal( X ) }.
% 8.86/9.26 (79) {G0,W5,D2,L2,V1,M2} I { ! ordinal( X ), in( X, skol18 ) }.
% 8.86/9.26 (87) {G1,W3,D2,L1,V1,M1} F(0) { ! in( X, X ) }.
% 8.86/9.26 (113) {G1,W8,D3,L3,V1,M3} R(11,6) { in( skol1( X ), X ), !
% 8.86/9.26 epsilon_connected( X ), ordinal( X ) }.
% 8.86/9.26 (153) {G1,W7,D3,L2,V1,M2} R(17,15) { alpha1( skol2( X ), skol19( X ) ),
% 8.86/9.26 epsilon_connected( X ) }.
% 8.86/9.26 (181) {G2,W2,D2,L1,V0,M1} R(79,87) { ! ordinal( skol18 ) }.
% 8.86/9.26 (197) {G3,W4,D2,L2,V0,M2} R(181,6) { ! epsilon_transitive( skol18 ), !
% 8.86/9.26 epsilon_connected( skol18 ) }.
% 8.86/9.26 (203) {G1,W6,D2,L2,V2,M2} R(22,20) { ! X = Y, ! alpha1( X, Y ) }.
% 8.86/9.26 (223) {G1,W6,D2,L2,V2,M2} R(23,20) { ! in( X, Y ), ! alpha1( Y, X ) }.
% 8.86/9.26 (373) {G1,W7,D3,L2,V2,M2} R(26,79) { subset( X, skol18 ), ! ordinal( skol3
% 8.86/9.26 ( Y, skol18 ) ) }.
% 8.86/9.26 (397) {G4,W6,D3,L2,V0,M2} R(197,12) { ! epsilon_connected( skol18 ), !
% 8.86/9.26 subset( skol1( skol18 ), skol18 ) }.
% 8.86/9.26 (428) {G1,W9,D3,L3,V2,M3} R(75,27) { ! ordinal( X ), ordinal( skol3( X, Y )
% 8.86/9.26 ), subset( X, Y ) }.
% 8.86/9.26 (610) {G1,W5,D3,L2,V0,M2} R(78,14) { ordinal( skol2( skol18 ) ),
% 8.86/9.26 epsilon_connected( skol18 ) }.
% 8.86/9.26 (612) {G1,W5,D2,L2,V1,M2} R(78,3) { ! in( X, skol18 ), epsilon_connected( X
% 8.86/9.26 ) }.
% 8.86/9.26 (613) {G1,W5,D2,L2,V1,M2} R(78,2) { ! in( X, skol18 ), epsilon_transitive(
% 8.86/9.26 X ) }.
% 8.86/9.26 (733) {G2,W6,D2,L2,V2,M2} R(612,16) { epsilon_connected( X ), ! alpha2(
% 8.86/9.26 skol18, Y, X ) }.
% 8.86/9.26 (762) {G2,W6,D2,L2,V2,M2} R(613,16) { epsilon_transitive( X ), ! alpha2(
% 8.86/9.26 skol18, Y, X ) }.
% 8.86/9.26 (1013) {G3,W5,D3,L2,V0,M2} R(113,78);r(181) { ! epsilon_connected( skol18 )
% 8.86/9.26 , ordinal( skol1( skol18 ) ) }.
% 8.86/9.26 (1631) {G3,W5,D3,L2,V0,M2} R(762,15) { epsilon_transitive( skol19( skol18 )
% 8.86/9.26 ), epsilon_connected( skol18 ) }.
% 8.86/9.26 (1675) {G3,W5,D3,L2,V0,M2} R(733,15) { epsilon_connected( skol19( skol18 )
% 8.86/9.26 ), epsilon_connected( skol18 ) }.
% 8.86/9.26 (1688) {G4,W5,D3,L2,V0,M2} R(1675,6);r(1631) { epsilon_connected( skol18 )
% 8.86/9.26 , ordinal( skol19( skol18 ) ) }.
% 8.86/9.26 (33521) {G2,W8,D2,L3,V2,M3} R(428,373) { ! ordinal( X ), subset( X, skol18
% 8.86/9.26 ), subset( Y, skol18 ) }.
% 8.86/9.26 (33647) {G3,W5,D2,L2,V1,M2} F(33521) { ! ordinal( X ), subset( X, skol18 )
% 8.86/9.26 }.
% 8.86/9.26 (33650) {G5,W2,D2,L1,V0,M1} R(33647,397);r(1013) { ! epsilon_connected(
% 8.86/9.26 skol18 ) }.
% 8.86/9.26 (33713) {G6,W5,D3,L1,V0,M1} R(33650,153) { alpha1( skol2( skol18 ), skol19
% 8.86/9.26 ( skol18 ) ) }.
% 8.86/9.26 (33715) {G6,W3,D3,L1,V0,M1} R(33650,1688) { ordinal( skol19( skol18 ) ) }.
% 8.86/9.26 (33719) {G6,W3,D3,L1,V0,M1} R(33650,610) { ordinal( skol2( skol18 ) ) }.
% 8.86/9.26 (36331) {G7,W5,D3,L1,V0,M1} R(33713,203) { ! skol2( skol18 ) ==> skol19(
% 8.86/9.26 skol18 ) }.
% 8.86/9.26 (36332) {G7,W5,D3,L1,V0,M1} R(33713,223) { ! in( skol19( skol18 ), skol2(
% 8.86/9.26 skol18 ) ) }.
% 8.86/9.26 (36337) {G7,W5,D3,L1,V0,M1} R(33713,19) { ! in( skol2( skol18 ), skol19(
% 8.86/9.26 skol18 ) ) }.
% 8.86/9.26 (36517) {G8,W13,D3,L3,V0,M3} R(36337,76);r(33719) { ! ordinal( skol19(
% 8.86/9.26 skol18 ) ), skol2( skol18 ) ==> skol19( skol18 ), in( skol19( skol18 ),
% 8.86/9.26 skol2( skol18 ) ) }.
% 8.86/9.26 (41144) {G9,W0,D0,L0,V0,M0} S(36517);r(33715);r(36331);r(36332) { }.
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 % SZS output end Refutation
% 8.86/9.26 found a proof!
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Unprocessed initial clauses:
% 8.86/9.26
% 8.86/9.26 (41146) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 8.86/9.26 (41147) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 8.86/9.26 (41148) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive( X ) }.
% 8.86/9.26 (41149) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected( X ) }.
% 8.86/9.26 (41150) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 8.86/9.26 (41151) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 8.86/9.26 ), relation( X ) }.
% 8.86/9.26 (41152) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 8.86/9.26 ), function( X ) }.
% 8.86/9.26 (41153) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 8.86/9.26 ), one_to_one( X ) }.
% 8.86/9.26 (41154) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 8.86/9.26 epsilon_connected( X ), ordinal( X ) }.
% 8.86/9.26 (41155) {G0,W4,D2,L2,V1,M2} { ! empty( X ), epsilon_transitive( X ) }.
% 8.86/9.26 (41156) {G0,W4,D2,L2,V1,M2} { ! empty( X ), epsilon_connected( X ) }.
% 8.86/9.26 (41157) {G0,W4,D2,L2,V1,M2} { ! empty( X ), ordinal( X ) }.
% 8.86/9.26 (41158) {G0,W8,D2,L3,V2,M3} { ! epsilon_transitive( X ), ! in( Y, X ),
% 8.86/9.26 subset( Y, X ) }.
% 8.86/9.26 (41159) {G0,W6,D3,L2,V1,M2} { in( skol1( X ), X ), epsilon_transitive( X )
% 8.86/9.26 }.
% 8.86/9.26 (41160) {G0,W6,D3,L2,V1,M2} { ! subset( skol1( X ), X ),
% 8.86/9.26 epsilon_transitive( X ) }.
% 8.86/9.26 (41161) {G0,W9,D2,L3,V3,M3} { ! epsilon_connected( X ), ! in( Y, X ), !
% 8.86/9.26 alpha2( X, Y, Z ) }.
% 8.86/9.26 (41162) {G0,W6,D3,L2,V1,M2} { in( skol2( X ), X ), epsilon_connected( X )
% 8.86/9.26 }.
% 8.86/9.26 (41163) {G0,W8,D3,L2,V1,M2} { alpha2( X, skol2( X ), skol19( X ) ),
% 8.86/9.26 epsilon_connected( X ) }.
% 8.86/9.26 (41164) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 8.86/9.26 (41165) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha1( Y, Z ) }.
% 8.86/9.26 (41166) {G0,W10,D2,L3,V3,M3} { ! in( Z, X ), ! alpha1( Y, Z ), alpha2( X,
% 8.86/9.26 Y, Z ) }.
% 8.86/9.26 (41167) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! in( X, Y ) }.
% 8.86/9.26 (41168) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha3( X, Y ) }.
% 8.86/9.26 (41169) {G0,W9,D2,L3,V2,M3} { in( X, Y ), ! alpha3( X, Y ), alpha1( X, Y )
% 8.86/9.26 }.
% 8.86/9.26 (41170) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), ! X = Y }.
% 8.86/9.26 (41171) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), ! in( Y, X ) }.
% 8.86/9.26 (41172) {G0,W9,D2,L3,V2,M3} { X = Y, in( Y, X ), alpha3( X, Y ) }.
% 8.86/9.26 (41173) {G0,W9,D2,L3,V3,M3} { ! subset( X, Y ), ! in( Z, X ), in( Z, Y )
% 8.86/9.26 }.
% 8.86/9.26 (41174) {G0,W8,D3,L2,V3,M2} { ! in( skol3( Z, Y ), Y ), subset( X, Y ) }.
% 8.86/9.26 (41175) {G0,W8,D3,L2,V2,M2} { in( skol3( X, Y ), X ), subset( X, Y ) }.
% 8.86/9.26 (41176) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive( X ) }.
% 8.86/9.26 (41177) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected( X ) }.
% 8.86/9.26 (41178) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 8.86/9.26 epsilon_connected( X ), ordinal( X ) }.
% 8.86/9.26 (41179) {G0,W4,D3,L1,V1,M1} { element( skol4( X ), X ) }.
% 8.86/9.26 (41180) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 8.86/9.26 (41181) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 8.86/9.26 (41182) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 8.86/9.26 (41183) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 8.86/9.26 (41184) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 8.86/9.26 (41185) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 8.86/9.26 (41186) {G0,W2,D2,L1,V0,M1} { function( empty_set ) }.
% 8.86/9.26 (41187) {G0,W2,D2,L1,V0,M1} { one_to_one( empty_set ) }.
% 8.86/9.26 (41188) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 8.86/9.26 (41189) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( empty_set ) }.
% 8.86/9.26 (41190) {G0,W2,D2,L1,V0,M1} { epsilon_connected( empty_set ) }.
% 8.86/9.26 (41191) {G0,W2,D2,L1,V0,M1} { ordinal( empty_set ) }.
% 8.86/9.26 (41192) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 8.86/9.26 (41193) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 8.86/9.26 (41194) {G0,W2,D2,L1,V0,M1} { relation( skol5 ) }.
% 8.86/9.26 (41195) {G0,W2,D2,L1,V0,M1} { function( skol5 ) }.
% 8.86/9.26 (41196) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol6 ) }.
% 8.86/9.26 (41197) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol6 ) }.
% 8.86/9.26 (41198) {G0,W2,D2,L1,V0,M1} { ordinal( skol6 ) }.
% 8.86/9.26 (41199) {G0,W2,D2,L1,V0,M1} { empty( skol7 ) }.
% 8.86/9.26 (41200) {G0,W2,D2,L1,V0,M1} { relation( skol7 ) }.
% 8.86/9.26 (41201) {G0,W2,D2,L1,V0,M1} { empty( skol8 ) }.
% 8.86/9.26 (41202) {G0,W2,D2,L1,V0,M1} { relation( skol9 ) }.
% 8.86/9.26 (41203) {G0,W2,D2,L1,V0,M1} { empty( skol9 ) }.
% 8.86/9.26 (41204) {G0,W2,D2,L1,V0,M1} { function( skol9 ) }.
% 8.86/9.26 (41205) {G0,W2,D2,L1,V0,M1} { relation( skol10 ) }.
% 8.86/9.26 (41206) {G0,W2,D2,L1,V0,M1} { function( skol10 ) }.
% 8.86/9.26 (41207) {G0,W2,D2,L1,V0,M1} { one_to_one( skol10 ) }.
% 8.86/9.26 (41208) {G0,W2,D2,L1,V0,M1} { empty( skol10 ) }.
% 8.86/9.26 (41209) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol10 ) }.
% 8.86/9.26 (41210) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol10 ) }.
% 8.86/9.26 (41211) {G0,W2,D2,L1,V0,M1} { ordinal( skol10 ) }.
% 8.86/9.26 (41212) {G0,W2,D2,L1,V0,M1} { ! empty( skol11 ) }.
% 8.86/9.26 (41213) {G0,W2,D2,L1,V0,M1} { relation( skol11 ) }.
% 8.86/9.26 (41214) {G0,W2,D2,L1,V0,M1} { ! empty( skol12 ) }.
% 8.86/9.26 (41215) {G0,W2,D2,L1,V0,M1} { relation( skol13 ) }.
% 8.86/9.26 (41216) {G0,W2,D2,L1,V0,M1} { function( skol13 ) }.
% 8.86/9.26 (41217) {G0,W2,D2,L1,V0,M1} { one_to_one( skol13 ) }.
% 8.86/9.26 (41218) {G0,W2,D2,L1,V0,M1} { ! empty( skol14 ) }.
% 8.86/9.26 (41219) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol14 ) }.
% 8.86/9.26 (41220) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol14 ) }.
% 8.86/9.26 (41221) {G0,W2,D2,L1,V0,M1} { ordinal( skol14 ) }.
% 8.86/9.26 (41222) {G0,W2,D2,L1,V0,M1} { relation( skol15 ) }.
% 8.86/9.26 (41223) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol15 ) }.
% 8.86/9.26 (41224) {G0,W2,D2,L1,V0,M1} { relation( skol16 ) }.
% 8.86/9.26 (41225) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol16 ) }.
% 8.86/9.26 (41226) {G0,W2,D2,L1,V0,M1} { function( skol16 ) }.
% 8.86/9.26 (41227) {G0,W2,D2,L1,V0,M1} { relation( skol17 ) }.
% 8.86/9.26 (41228) {G0,W2,D2,L1,V0,M1} { relation_non_empty( skol17 ) }.
% 8.86/9.26 (41229) {G0,W2,D2,L1,V0,M1} { function( skol17 ) }.
% 8.86/9.26 (41230) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 8.86/9.26 (41231) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 8.86/9.26 (41232) {G0,W7,D2,L3,V2,M3} { ! ordinal( X ), ! in( Y, X ), ordinal( Y )
% 8.86/9.26 }.
% 8.86/9.26 (41233) {G0,W13,D2,L5,V2,M5} { ! ordinal( X ), ! ordinal( Y ), in( X, Y )
% 8.86/9.26 , X = Y, in( Y, X ) }.
% 8.86/9.26 (41234) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 8.86/9.26 }.
% 8.86/9.26 (41235) {G0,W5,D2,L2,V1,M2} { ! in( X, skol18 ), ordinal( X ) }.
% 8.86/9.26 (41236) {G0,W5,D2,L2,V1,M2} { ! ordinal( X ), in( X, skol18 ) }.
% 8.86/9.26 (41237) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 8.86/9.26 ) }.
% 8.86/9.26 (41238) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 8.86/9.26 ) }.
% 8.86/9.26 (41239) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 8.86/9.26 , element( X, Y ) }.
% 8.86/9.26 (41240) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 8.86/9.26 , ! empty( Z ) }.
% 8.86/9.26 (41241) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 8.86/9.26 (41242) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 8.86/9.26 (41243) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Total Proof:
% 8.86/9.26
% 8.86/9.26 subsumption: (0) {G0,W6,D2,L2,V2,M2} I { ! in( X, Y ), ! in( Y, X ) }.
% 8.86/9.26 parent0: (41146) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive
% 8.86/9.26 ( X ) }.
% 8.86/9.26 parent0: (41148) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive
% 8.86/9.26 ( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (3) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_connected
% 8.86/9.26 ( X ) }.
% 8.86/9.26 parent0: (41149) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected(
% 8.86/9.26 X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), !
% 8.86/9.26 epsilon_connected( X ), ordinal( X ) }.
% 8.86/9.26 parent0: (41154) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 8.86/9.26 epsilon_connected( X ), ordinal( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 2 ==> 2
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (11) {G0,W6,D3,L2,V1,M2} I { in( skol1( X ), X ),
% 8.86/9.26 epsilon_transitive( X ) }.
% 8.86/9.26 parent0: (41159) {G0,W6,D3,L2,V1,M2} { in( skol1( X ), X ),
% 8.86/9.26 epsilon_transitive( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (12) {G0,W6,D3,L2,V1,M2} I { ! subset( skol1( X ), X ),
% 8.86/9.26 epsilon_transitive( X ) }.
% 8.86/9.26 parent0: (41160) {G0,W6,D3,L2,V1,M2} { ! subset( skol1( X ), X ),
% 8.86/9.26 epsilon_transitive( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (14) {G0,W6,D3,L2,V1,M2} I { in( skol2( X ), X ),
% 8.86/9.26 epsilon_connected( X ) }.
% 8.86/9.26 parent0: (41162) {G0,W6,D3,L2,V1,M2} { in( skol2( X ), X ),
% 8.86/9.26 epsilon_connected( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (15) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol19( X
% 8.86/9.26 ) ), epsilon_connected( X ) }.
% 8.86/9.26 parent0: (41163) {G0,W8,D3,L2,V1,M2} { alpha2( X, skol2( X ), skol19( X )
% 8.86/9.26 ), epsilon_connected( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (16) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Z, X )
% 8.86/9.26 }.
% 8.86/9.26 parent0: (41164) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 Z := Z
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (17) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), alpha1( Y, Z
% 8.86/9.26 ) }.
% 8.86/9.26 parent0: (41165) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha1( Y, Z )
% 8.86/9.26 }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 Z := Z
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (19) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! in( X, Y )
% 8.86/9.26 }.
% 8.86/9.26 parent0: (41167) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! in( X, Y ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (20) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y )
% 8.86/9.26 }.
% 8.86/9.26 parent0: (41168) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha3( X, Y )
% 8.86/9.26 }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (22) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! X = Y }.
% 8.86/9.26 parent0: (41170) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), ! X = Y }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (23) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! in( Y, X )
% 8.86/9.26 }.
% 8.86/9.26 parent0: (41171) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), ! in( Y, X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (26) {G0,W8,D3,L2,V3,M2} I { ! in( skol3( Z, Y ), Y ), subset
% 8.86/9.26 ( X, Y ) }.
% 8.86/9.26 parent0: (41174) {G0,W8,D3,L2,V3,M2} { ! in( skol3( Z, Y ), Y ), subset( X
% 8.86/9.26 , Y ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 Z := Z
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (27) {G0,W8,D3,L2,V2,M2} I { in( skol3( X, Y ), X ), subset( X
% 8.86/9.26 , Y ) }.
% 8.86/9.26 parent0: (41175) {G0,W8,D3,L2,V2,M2} { in( skol3( X, Y ), X ), subset( X,
% 8.86/9.26 Y ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (75) {G0,W7,D2,L3,V2,M3} I { ! ordinal( X ), ! in( Y, X ),
% 8.86/9.26 ordinal( Y ) }.
% 8.86/9.26 parent0: (41232) {G0,W7,D2,L3,V2,M3} { ! ordinal( X ), ! in( Y, X ),
% 8.86/9.26 ordinal( Y ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 2 ==> 2
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (76) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ),
% 8.86/9.26 in( X, Y ), X = Y, in( Y, X ) }.
% 8.86/9.26 parent0: (41233) {G0,W13,D2,L5,V2,M5} { ! ordinal( X ), ! ordinal( Y ), in
% 8.86/9.26 ( X, Y ), X = Y, in( Y, X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 2 ==> 2
% 8.86/9.26 3 ==> 3
% 8.86/9.26 4 ==> 4
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (78) {G0,W5,D2,L2,V1,M2} I { ! in( X, skol18 ), ordinal( X )
% 8.86/9.26 }.
% 8.86/9.26 parent0: (41235) {G0,W5,D2,L2,V1,M2} { ! in( X, skol18 ), ordinal( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (79) {G0,W5,D2,L2,V1,M2} I { ! ordinal( X ), in( X, skol18 )
% 8.86/9.26 }.
% 8.86/9.26 parent0: (41236) {G0,W5,D2,L2,V1,M2} { ! ordinal( X ), in( X, skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 factor: (41287) {G0,W3,D2,L1,V1,M1} { ! in( X, X ) }.
% 8.86/9.26 parent0[0, 1]: (0) {G0,W6,D2,L2,V2,M2} I { ! in( X, Y ), ! in( Y, X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := X
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (87) {G1,W3,D2,L1,V1,M1} F(0) { ! in( X, X ) }.
% 8.86/9.26 parent0: (41287) {G0,W3,D2,L1,V1,M1} { ! in( X, X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41288) {G1,W8,D3,L3,V1,M3} { ! epsilon_connected( X ),
% 8.86/9.26 ordinal( X ), in( skol1( X ), X ) }.
% 8.86/9.26 parent0[0]: (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), !
% 8.86/9.26 epsilon_connected( X ), ordinal( X ) }.
% 8.86/9.26 parent1[1]: (11) {G0,W6,D3,L2,V1,M2} I { in( skol1( X ), X ),
% 8.86/9.26 epsilon_transitive( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (113) {G1,W8,D3,L3,V1,M3} R(11,6) { in( skol1( X ), X ), !
% 8.86/9.26 epsilon_connected( X ), ordinal( X ) }.
% 8.86/9.26 parent0: (41288) {G1,W8,D3,L3,V1,M3} { ! epsilon_connected( X ), ordinal(
% 8.86/9.26 X ), in( skol1( X ), X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 1
% 8.86/9.26 1 ==> 2
% 8.86/9.26 2 ==> 0
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41289) {G1,W7,D3,L2,V1,M2} { alpha1( skol2( X ), skol19( X )
% 8.86/9.26 ), epsilon_connected( X ) }.
% 8.86/9.26 parent0[0]: (17) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), alpha1( Y, Z
% 8.86/9.26 ) }.
% 8.86/9.26 parent1[0]: (15) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol19( X )
% 8.86/9.26 ), epsilon_connected( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := skol2( X )
% 8.86/9.26 Z := skol19( X )
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (153) {G1,W7,D3,L2,V1,M2} R(17,15) { alpha1( skol2( X ),
% 8.86/9.26 skol19( X ) ), epsilon_connected( X ) }.
% 8.86/9.26 parent0: (41289) {G1,W7,D3,L2,V1,M2} { alpha1( skol2( X ), skol19( X ) ),
% 8.86/9.26 epsilon_connected( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41290) {G1,W2,D2,L1,V0,M1} { ! ordinal( skol18 ) }.
% 8.86/9.26 parent0[0]: (87) {G1,W3,D2,L1,V1,M1} F(0) { ! in( X, X ) }.
% 8.86/9.26 parent1[1]: (79) {G0,W5,D2,L2,V1,M2} I { ! ordinal( X ), in( X, skol18 )
% 8.86/9.26 }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := skol18
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := skol18
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (181) {G2,W2,D2,L1,V0,M1} R(79,87) { ! ordinal( skol18 ) }.
% 8.86/9.26 parent0: (41290) {G1,W2,D2,L1,V0,M1} { ! ordinal( skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41291) {G1,W4,D2,L2,V0,M2} { ! epsilon_transitive( skol18 ),
% 8.86/9.26 ! epsilon_connected( skol18 ) }.
% 8.86/9.26 parent0[0]: (181) {G2,W2,D2,L1,V0,M1} R(79,87) { ! ordinal( skol18 ) }.
% 8.86/9.26 parent1[2]: (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), !
% 8.86/9.26 epsilon_connected( X ), ordinal( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := skol18
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (197) {G3,W4,D2,L2,V0,M2} R(181,6) { ! epsilon_transitive(
% 8.86/9.26 skol18 ), ! epsilon_connected( skol18 ) }.
% 8.86/9.26 parent0: (41291) {G1,W4,D2,L2,V0,M2} { ! epsilon_transitive( skol18 ), !
% 8.86/9.26 epsilon_connected( skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 eqswap: (41292) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha3( X, Y ) }.
% 8.86/9.26 parent0[1]: (22) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! X = Y }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41293) {G1,W6,D2,L2,V2,M2} { ! X = Y, ! alpha1( Y, X ) }.
% 8.86/9.26 parent0[1]: (41292) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha3( X, Y ) }.
% 8.86/9.26 parent1[1]: (20) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y )
% 8.86/9.26 }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := Y
% 8.86/9.26 Y := X
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := Y
% 8.86/9.26 Y := X
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 eqswap: (41294) {G1,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 8.86/9.26 parent0[0]: (41293) {G1,W6,D2,L2,V2,M2} { ! X = Y, ! alpha1( Y, X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (203) {G1,W6,D2,L2,V2,M2} R(22,20) { ! X = Y, ! alpha1( X, Y )
% 8.86/9.26 }.
% 8.86/9.26 parent0: (41294) {G1,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := Y
% 8.86/9.26 Y := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41295) {G1,W6,D2,L2,V2,M2} { ! in( Y, X ), ! alpha1( X, Y )
% 8.86/9.26 }.
% 8.86/9.26 parent0[0]: (23) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! in( Y, X ) }.
% 8.86/9.26 parent1[1]: (20) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y )
% 8.86/9.26 }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (223) {G1,W6,D2,L2,V2,M2} R(23,20) { ! in( X, Y ), ! alpha1( Y
% 8.86/9.26 , X ) }.
% 8.86/9.26 parent0: (41295) {G1,W6,D2,L2,V2,M2} { ! in( Y, X ), ! alpha1( X, Y ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := Y
% 8.86/9.26 Y := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41296) {G1,W7,D3,L2,V2,M2} { subset( Y, skol18 ), ! ordinal(
% 8.86/9.26 skol3( X, skol18 ) ) }.
% 8.86/9.26 parent0[0]: (26) {G0,W8,D3,L2,V3,M2} I { ! in( skol3( Z, Y ), Y ), subset(
% 8.86/9.26 X, Y ) }.
% 8.86/9.26 parent1[1]: (79) {G0,W5,D2,L2,V1,M2} I { ! ordinal( X ), in( X, skol18 )
% 8.86/9.26 }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := Y
% 8.86/9.26 Y := skol18
% 8.86/9.26 Z := X
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := skol3( X, skol18 )
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (373) {G1,W7,D3,L2,V2,M2} R(26,79) { subset( X, skol18 ), !
% 8.86/9.26 ordinal( skol3( Y, skol18 ) ) }.
% 8.86/9.26 parent0: (41296) {G1,W7,D3,L2,V2,M2} { subset( Y, skol18 ), ! ordinal(
% 8.86/9.26 skol3( X, skol18 ) ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := Y
% 8.86/9.26 Y := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41297) {G1,W6,D3,L2,V0,M2} { ! epsilon_connected( skol18 ), !
% 8.86/9.26 subset( skol1( skol18 ), skol18 ) }.
% 8.86/9.26 parent0[0]: (197) {G3,W4,D2,L2,V0,M2} R(181,6) { ! epsilon_transitive(
% 8.86/9.26 skol18 ), ! epsilon_connected( skol18 ) }.
% 8.86/9.26 parent1[1]: (12) {G0,W6,D3,L2,V1,M2} I { ! subset( skol1( X ), X ),
% 8.86/9.26 epsilon_transitive( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := skol18
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (397) {G4,W6,D3,L2,V0,M2} R(197,12) { ! epsilon_connected(
% 8.86/9.26 skol18 ), ! subset( skol1( skol18 ), skol18 ) }.
% 8.86/9.26 parent0: (41297) {G1,W6,D3,L2,V0,M2} { ! epsilon_connected( skol18 ), !
% 8.86/9.26 subset( skol1( skol18 ), skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41298) {G1,W9,D3,L3,V2,M3} { ! ordinal( X ), ordinal( skol3(
% 8.86/9.26 X, Y ) ), subset( X, Y ) }.
% 8.86/9.26 parent0[1]: (75) {G0,W7,D2,L3,V2,M3} I { ! ordinal( X ), ! in( Y, X ),
% 8.86/9.26 ordinal( Y ) }.
% 8.86/9.26 parent1[0]: (27) {G0,W8,D3,L2,V2,M2} I { in( skol3( X, Y ), X ), subset( X
% 8.86/9.26 , Y ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := skol3( X, Y )
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (428) {G1,W9,D3,L3,V2,M3} R(75,27) { ! ordinal( X ), ordinal(
% 8.86/9.26 skol3( X, Y ) ), subset( X, Y ) }.
% 8.86/9.26 parent0: (41298) {G1,W9,D3,L3,V2,M3} { ! ordinal( X ), ordinal( skol3( X,
% 8.86/9.26 Y ) ), subset( X, Y ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 2 ==> 2
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41299) {G1,W5,D3,L2,V0,M2} { ordinal( skol2( skol18 ) ),
% 8.86/9.26 epsilon_connected( skol18 ) }.
% 8.86/9.26 parent0[0]: (78) {G0,W5,D2,L2,V1,M2} I { ! in( X, skol18 ), ordinal( X )
% 8.86/9.26 }.
% 8.86/9.26 parent1[0]: (14) {G0,W6,D3,L2,V1,M2} I { in( skol2( X ), X ),
% 8.86/9.26 epsilon_connected( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := skol2( skol18 )
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := skol18
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (610) {G1,W5,D3,L2,V0,M2} R(78,14) { ordinal( skol2( skol18 )
% 8.86/9.26 ), epsilon_connected( skol18 ) }.
% 8.86/9.26 parent0: (41299) {G1,W5,D3,L2,V0,M2} { ordinal( skol2( skol18 ) ),
% 8.86/9.26 epsilon_connected( skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41300) {G1,W5,D2,L2,V1,M2} { epsilon_connected( X ), ! in( X
% 8.86/9.26 , skol18 ) }.
% 8.86/9.26 parent0[0]: (3) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_connected(
% 8.86/9.26 X ) }.
% 8.86/9.26 parent1[1]: (78) {G0,W5,D2,L2,V1,M2} I { ! in( X, skol18 ), ordinal( X )
% 8.86/9.26 }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (612) {G1,W5,D2,L2,V1,M2} R(78,3) { ! in( X, skol18 ),
% 8.86/9.26 epsilon_connected( X ) }.
% 8.86/9.26 parent0: (41300) {G1,W5,D2,L2,V1,M2} { epsilon_connected( X ), ! in( X,
% 8.86/9.26 skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 1
% 8.86/9.26 1 ==> 0
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41301) {G1,W5,D2,L2,V1,M2} { epsilon_transitive( X ), ! in( X
% 8.86/9.26 , skol18 ) }.
% 8.86/9.26 parent0[0]: (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive
% 8.86/9.26 ( X ) }.
% 8.86/9.26 parent1[1]: (78) {G0,W5,D2,L2,V1,M2} I { ! in( X, skol18 ), ordinal( X )
% 8.86/9.26 }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (613) {G1,W5,D2,L2,V1,M2} R(78,2) { ! in( X, skol18 ),
% 8.86/9.26 epsilon_transitive( X ) }.
% 8.86/9.26 parent0: (41301) {G1,W5,D2,L2,V1,M2} { epsilon_transitive( X ), ! in( X,
% 8.86/9.26 skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 1
% 8.86/9.26 1 ==> 0
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41302) {G1,W6,D2,L2,V2,M2} { epsilon_connected( X ), ! alpha2
% 8.86/9.26 ( skol18, Y, X ) }.
% 8.86/9.26 parent0[0]: (612) {G1,W5,D2,L2,V1,M2} R(78,3) { ! in( X, skol18 ),
% 8.86/9.26 epsilon_connected( X ) }.
% 8.86/9.26 parent1[1]: (16) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Z, X )
% 8.86/9.26 }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := skol18
% 8.86/9.26 Y := Y
% 8.86/9.26 Z := X
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (733) {G2,W6,D2,L2,V2,M2} R(612,16) { epsilon_connected( X ),
% 8.86/9.26 ! alpha2( skol18, Y, X ) }.
% 8.86/9.26 parent0: (41302) {G1,W6,D2,L2,V2,M2} { epsilon_connected( X ), ! alpha2(
% 8.86/9.26 skol18, Y, X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41303) {G1,W6,D2,L2,V2,M2} { epsilon_transitive( X ), !
% 8.86/9.26 alpha2( skol18, Y, X ) }.
% 8.86/9.26 parent0[0]: (613) {G1,W5,D2,L2,V1,M2} R(78,2) { ! in( X, skol18 ),
% 8.86/9.26 epsilon_transitive( X ) }.
% 8.86/9.26 parent1[1]: (16) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Z, X )
% 8.86/9.26 }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := skol18
% 8.86/9.26 Y := Y
% 8.86/9.26 Z := X
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (762) {G2,W6,D2,L2,V2,M2} R(613,16) { epsilon_transitive( X )
% 8.86/9.26 , ! alpha2( skol18, Y, X ) }.
% 8.86/9.26 parent0: (41303) {G1,W6,D2,L2,V2,M2} { epsilon_transitive( X ), ! alpha2(
% 8.86/9.26 skol18, Y, X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41304) {G1,W7,D3,L3,V0,M3} { ordinal( skol1( skol18 ) ), !
% 8.86/9.26 epsilon_connected( skol18 ), ordinal( skol18 ) }.
% 8.86/9.26 parent0[0]: (78) {G0,W5,D2,L2,V1,M2} I { ! in( X, skol18 ), ordinal( X )
% 8.86/9.26 }.
% 8.86/9.26 parent1[0]: (113) {G1,W8,D3,L3,V1,M3} R(11,6) { in( skol1( X ), X ), !
% 8.86/9.26 epsilon_connected( X ), ordinal( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := skol1( skol18 )
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := skol18
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41305) {G2,W5,D3,L2,V0,M2} { ordinal( skol1( skol18 ) ), !
% 8.86/9.26 epsilon_connected( skol18 ) }.
% 8.86/9.26 parent0[0]: (181) {G2,W2,D2,L1,V0,M1} R(79,87) { ! ordinal( skol18 ) }.
% 8.86/9.26 parent1[2]: (41304) {G1,W7,D3,L3,V0,M3} { ordinal( skol1( skol18 ) ), !
% 8.86/9.26 epsilon_connected( skol18 ), ordinal( skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (1013) {G3,W5,D3,L2,V0,M2} R(113,78);r(181) { !
% 8.86/9.26 epsilon_connected( skol18 ), ordinal( skol1( skol18 ) ) }.
% 8.86/9.26 parent0: (41305) {G2,W5,D3,L2,V0,M2} { ordinal( skol1( skol18 ) ), !
% 8.86/9.26 epsilon_connected( skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 1
% 8.86/9.26 1 ==> 0
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41306) {G1,W5,D3,L2,V0,M2} { epsilon_transitive( skol19(
% 8.86/9.26 skol18 ) ), epsilon_connected( skol18 ) }.
% 8.86/9.26 parent0[1]: (762) {G2,W6,D2,L2,V2,M2} R(613,16) { epsilon_transitive( X ),
% 8.86/9.26 ! alpha2( skol18, Y, X ) }.
% 8.86/9.26 parent1[0]: (15) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol19( X )
% 8.86/9.26 ), epsilon_connected( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := skol19( skol18 )
% 8.86/9.26 Y := skol2( skol18 )
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := skol18
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (1631) {G3,W5,D3,L2,V0,M2} R(762,15) { epsilon_transitive(
% 8.86/9.26 skol19( skol18 ) ), epsilon_connected( skol18 ) }.
% 8.86/9.26 parent0: (41306) {G1,W5,D3,L2,V0,M2} { epsilon_transitive( skol19( skol18
% 8.86/9.26 ) ), epsilon_connected( skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41307) {G1,W5,D3,L2,V0,M2} { epsilon_connected( skol19(
% 8.86/9.26 skol18 ) ), epsilon_connected( skol18 ) }.
% 8.86/9.26 parent0[1]: (733) {G2,W6,D2,L2,V2,M2} R(612,16) { epsilon_connected( X ), !
% 8.86/9.26 alpha2( skol18, Y, X ) }.
% 8.86/9.26 parent1[0]: (15) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol19( X )
% 8.86/9.26 ), epsilon_connected( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := skol19( skol18 )
% 8.86/9.26 Y := skol2( skol18 )
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := skol18
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (1675) {G3,W5,D3,L2,V0,M2} R(733,15) { epsilon_connected(
% 8.86/9.26 skol19( skol18 ) ), epsilon_connected( skol18 ) }.
% 8.86/9.26 parent0: (41307) {G1,W5,D3,L2,V0,M2} { epsilon_connected( skol19( skol18 )
% 8.86/9.26 ), epsilon_connected( skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41308) {G1,W8,D3,L3,V0,M3} { ! epsilon_transitive( skol19(
% 8.86/9.26 skol18 ) ), ordinal( skol19( skol18 ) ), epsilon_connected( skol18 ) }.
% 8.86/9.26 parent0[1]: (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), !
% 8.86/9.26 epsilon_connected( X ), ordinal( X ) }.
% 8.86/9.26 parent1[0]: (1675) {G3,W5,D3,L2,V0,M2} R(733,15) { epsilon_connected(
% 8.86/9.26 skol19( skol18 ) ), epsilon_connected( skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := skol19( skol18 )
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41310) {G2,W7,D3,L3,V0,M3} { ordinal( skol19( skol18 ) ),
% 8.86/9.26 epsilon_connected( skol18 ), epsilon_connected( skol18 ) }.
% 8.86/9.26 parent0[0]: (41308) {G1,W8,D3,L3,V0,M3} { ! epsilon_transitive( skol19(
% 8.86/9.26 skol18 ) ), ordinal( skol19( skol18 ) ), epsilon_connected( skol18 ) }.
% 8.86/9.26 parent1[0]: (1631) {G3,W5,D3,L2,V0,M2} R(762,15) { epsilon_transitive(
% 8.86/9.26 skol19( skol18 ) ), epsilon_connected( skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 factor: (41311) {G2,W5,D3,L2,V0,M2} { ordinal( skol19( skol18 ) ),
% 8.86/9.26 epsilon_connected( skol18 ) }.
% 8.86/9.26 parent0[1, 2]: (41310) {G2,W7,D3,L3,V0,M3} { ordinal( skol19( skol18 ) ),
% 8.86/9.26 epsilon_connected( skol18 ), epsilon_connected( skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (1688) {G4,W5,D3,L2,V0,M2} R(1675,6);r(1631) {
% 8.86/9.26 epsilon_connected( skol18 ), ordinal( skol19( skol18 ) ) }.
% 8.86/9.26 parent0: (41311) {G2,W5,D3,L2,V0,M2} { ordinal( skol19( skol18 ) ),
% 8.86/9.26 epsilon_connected( skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 1
% 8.86/9.26 1 ==> 0
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41312) {G2,W8,D2,L3,V2,M3} { subset( X, skol18 ), ! ordinal(
% 8.86/9.26 Y ), subset( Y, skol18 ) }.
% 8.86/9.26 parent0[1]: (373) {G1,W7,D3,L2,V2,M2} R(26,79) { subset( X, skol18 ), !
% 8.86/9.26 ordinal( skol3( Y, skol18 ) ) }.
% 8.86/9.26 parent1[1]: (428) {G1,W9,D3,L3,V2,M3} R(75,27) { ! ordinal( X ), ordinal(
% 8.86/9.26 skol3( X, Y ) ), subset( X, Y ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := Y
% 8.86/9.26 Y := skol18
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (33521) {G2,W8,D2,L3,V2,M3} R(428,373) { ! ordinal( X ),
% 8.86/9.26 subset( X, skol18 ), subset( Y, skol18 ) }.
% 8.86/9.26 parent0: (41312) {G2,W8,D2,L3,V2,M3} { subset( X, skol18 ), ! ordinal( Y )
% 8.86/9.26 , subset( Y, skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 1
% 8.86/9.26 1 ==> 0
% 8.86/9.26 2 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 factor: (41314) {G2,W5,D2,L2,V1,M2} { ! ordinal( X ), subset( X, skol18 )
% 8.86/9.26 }.
% 8.86/9.26 parent0[1, 2]: (33521) {G2,W8,D2,L3,V2,M3} R(428,373) { ! ordinal( X ),
% 8.86/9.26 subset( X, skol18 ), subset( Y, skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := X
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (33647) {G3,W5,D2,L2,V1,M2} F(33521) { ! ordinal( X ), subset
% 8.86/9.26 ( X, skol18 ) }.
% 8.86/9.26 parent0: (41314) {G2,W5,D2,L2,V1,M2} { ! ordinal( X ), subset( X, skol18 )
% 8.86/9.26 }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41315) {G4,W5,D3,L2,V0,M2} { ! epsilon_connected( skol18 ), !
% 8.86/9.26 ordinal( skol1( skol18 ) ) }.
% 8.86/9.26 parent0[1]: (397) {G4,W6,D3,L2,V0,M2} R(197,12) { ! epsilon_connected(
% 8.86/9.26 skol18 ), ! subset( skol1( skol18 ), skol18 ) }.
% 8.86/9.26 parent1[1]: (33647) {G3,W5,D2,L2,V1,M2} F(33521) { ! ordinal( X ), subset(
% 8.86/9.26 X, skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := skol1( skol18 )
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41316) {G4,W4,D2,L2,V0,M2} { ! epsilon_connected( skol18 ), !
% 8.86/9.26 epsilon_connected( skol18 ) }.
% 8.86/9.26 parent0[1]: (41315) {G4,W5,D3,L2,V0,M2} { ! epsilon_connected( skol18 ), !
% 8.86/9.26 ordinal( skol1( skol18 ) ) }.
% 8.86/9.26 parent1[1]: (1013) {G3,W5,D3,L2,V0,M2} R(113,78);r(181) { !
% 8.86/9.26 epsilon_connected( skol18 ), ordinal( skol1( skol18 ) ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 factor: (41317) {G4,W2,D2,L1,V0,M1} { ! epsilon_connected( skol18 ) }.
% 8.86/9.26 parent0[0, 1]: (41316) {G4,W4,D2,L2,V0,M2} { ! epsilon_connected( skol18 )
% 8.86/9.26 , ! epsilon_connected( skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (33650) {G5,W2,D2,L1,V0,M1} R(33647,397);r(1013) { !
% 8.86/9.26 epsilon_connected( skol18 ) }.
% 8.86/9.26 parent0: (41317) {G4,W2,D2,L1,V0,M1} { ! epsilon_connected( skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41318) {G2,W5,D3,L1,V0,M1} { alpha1( skol2( skol18 ), skol19
% 8.86/9.26 ( skol18 ) ) }.
% 8.86/9.26 parent0[0]: (33650) {G5,W2,D2,L1,V0,M1} R(33647,397);r(1013) { !
% 8.86/9.26 epsilon_connected( skol18 ) }.
% 8.86/9.26 parent1[1]: (153) {G1,W7,D3,L2,V1,M2} R(17,15) { alpha1( skol2( X ), skol19
% 8.86/9.26 ( X ) ), epsilon_connected( X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := skol18
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (33713) {G6,W5,D3,L1,V0,M1} R(33650,153) { alpha1( skol2(
% 8.86/9.26 skol18 ), skol19( skol18 ) ) }.
% 8.86/9.26 parent0: (41318) {G2,W5,D3,L1,V0,M1} { alpha1( skol2( skol18 ), skol19(
% 8.86/9.26 skol18 ) ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41319) {G5,W3,D3,L1,V0,M1} { ordinal( skol19( skol18 ) ) }.
% 8.86/9.26 parent0[0]: (33650) {G5,W2,D2,L1,V0,M1} R(33647,397);r(1013) { !
% 8.86/9.26 epsilon_connected( skol18 ) }.
% 8.86/9.26 parent1[0]: (1688) {G4,W5,D3,L2,V0,M2} R(1675,6);r(1631) {
% 8.86/9.26 epsilon_connected( skol18 ), ordinal( skol19( skol18 ) ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (33715) {G6,W3,D3,L1,V0,M1} R(33650,1688) { ordinal( skol19(
% 8.86/9.26 skol18 ) ) }.
% 8.86/9.26 parent0: (41319) {G5,W3,D3,L1,V0,M1} { ordinal( skol19( skol18 ) ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41320) {G2,W3,D3,L1,V0,M1} { ordinal( skol2( skol18 ) ) }.
% 8.86/9.26 parent0[0]: (33650) {G5,W2,D2,L1,V0,M1} R(33647,397);r(1013) { !
% 8.86/9.26 epsilon_connected( skol18 ) }.
% 8.86/9.26 parent1[1]: (610) {G1,W5,D3,L2,V0,M2} R(78,14) { ordinal( skol2( skol18 ) )
% 8.86/9.26 , epsilon_connected( skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (33719) {G6,W3,D3,L1,V0,M1} R(33650,610) { ordinal( skol2(
% 8.86/9.26 skol18 ) ) }.
% 8.86/9.26 parent0: (41320) {G2,W3,D3,L1,V0,M1} { ordinal( skol2( skol18 ) ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 eqswap: (41321) {G1,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( X, Y ) }.
% 8.86/9.26 parent0[0]: (203) {G1,W6,D2,L2,V2,M2} R(22,20) { ! X = Y, ! alpha1( X, Y )
% 8.86/9.26 }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := X
% 8.86/9.26 Y := Y
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41322) {G2,W5,D3,L1,V0,M1} { ! skol19( skol18 ) = skol2(
% 8.86/9.26 skol18 ) }.
% 8.86/9.26 parent0[1]: (41321) {G1,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( X, Y ) }.
% 8.86/9.26 parent1[0]: (33713) {G6,W5,D3,L1,V0,M1} R(33650,153) { alpha1( skol2(
% 8.86/9.26 skol18 ), skol19( skol18 ) ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := skol2( skol18 )
% 8.86/9.26 Y := skol19( skol18 )
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 eqswap: (41323) {G2,W5,D3,L1,V0,M1} { ! skol2( skol18 ) = skol19( skol18 )
% 8.86/9.26 }.
% 8.86/9.26 parent0[0]: (41322) {G2,W5,D3,L1,V0,M1} { ! skol19( skol18 ) = skol2(
% 8.86/9.26 skol18 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (36331) {G7,W5,D3,L1,V0,M1} R(33713,203) { ! skol2( skol18 )
% 8.86/9.26 ==> skol19( skol18 ) }.
% 8.86/9.26 parent0: (41323) {G2,W5,D3,L1,V0,M1} { ! skol2( skol18 ) = skol19( skol18
% 8.86/9.26 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41324) {G2,W5,D3,L1,V0,M1} { ! in( skol19( skol18 ), skol2(
% 8.86/9.26 skol18 ) ) }.
% 8.86/9.26 parent0[1]: (223) {G1,W6,D2,L2,V2,M2} R(23,20) { ! in( X, Y ), ! alpha1( Y
% 8.86/9.26 , X ) }.
% 8.86/9.26 parent1[0]: (33713) {G6,W5,D3,L1,V0,M1} R(33650,153) { alpha1( skol2(
% 8.86/9.26 skol18 ), skol19( skol18 ) ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := skol19( skol18 )
% 8.86/9.26 Y := skol2( skol18 )
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (36332) {G7,W5,D3,L1,V0,M1} R(33713,223) { ! in( skol19(
% 8.86/9.26 skol18 ), skol2( skol18 ) ) }.
% 8.86/9.26 parent0: (41324) {G2,W5,D3,L1,V0,M1} { ! in( skol19( skol18 ), skol2(
% 8.86/9.26 skol18 ) ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41325) {G1,W5,D3,L1,V0,M1} { ! in( skol2( skol18 ), skol19(
% 8.86/9.26 skol18 ) ) }.
% 8.86/9.26 parent0[0]: (19) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! in( X, Y ) }.
% 8.86/9.26 parent1[0]: (33713) {G6,W5,D3,L1,V0,M1} R(33650,153) { alpha1( skol2(
% 8.86/9.26 skol18 ), skol19( skol18 ) ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 X := skol2( skol18 )
% 8.86/9.26 Y := skol19( skol18 )
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (36337) {G7,W5,D3,L1,V0,M1} R(33713,19) { ! in( skol2( skol18
% 8.86/9.26 ), skol19( skol18 ) ) }.
% 8.86/9.26 parent0: (41325) {G1,W5,D3,L1,V0,M1} { ! in( skol2( skol18 ), skol19(
% 8.86/9.26 skol18 ) ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41326) {G1,W16,D3,L4,V0,M4} { ! ordinal( skol2( skol18 ) ), !
% 8.86/9.26 ordinal( skol19( skol18 ) ), skol2( skol18 ) = skol19( skol18 ), in(
% 8.86/9.26 skol19( skol18 ), skol2( skol18 ) ) }.
% 8.86/9.26 parent0[0]: (36337) {G7,W5,D3,L1,V0,M1} R(33713,19) { ! in( skol2( skol18 )
% 8.86/9.26 , skol19( skol18 ) ) }.
% 8.86/9.26 parent1[2]: (76) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ),
% 8.86/9.26 in( X, Y ), X = Y, in( Y, X ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 X := skol2( skol18 )
% 8.86/9.26 Y := skol19( skol18 )
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41328) {G2,W13,D3,L3,V0,M3} { ! ordinal( skol19( skol18 ) ),
% 8.86/9.26 skol2( skol18 ) = skol19( skol18 ), in( skol19( skol18 ), skol2( skol18 )
% 8.86/9.26 ) }.
% 8.86/9.26 parent0[0]: (41326) {G1,W16,D3,L4,V0,M4} { ! ordinal( skol2( skol18 ) ), !
% 8.86/9.26 ordinal( skol19( skol18 ) ), skol2( skol18 ) = skol19( skol18 ), in(
% 8.86/9.26 skol19( skol18 ), skol2( skol18 ) ) }.
% 8.86/9.26 parent1[0]: (33719) {G6,W3,D3,L1,V0,M1} R(33650,610) { ordinal( skol2(
% 8.86/9.26 skol18 ) ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (36517) {G8,W13,D3,L3,V0,M3} R(36337,76);r(33719) { ! ordinal
% 8.86/9.26 ( skol19( skol18 ) ), skol2( skol18 ) ==> skol19( skol18 ), in( skol19(
% 8.86/9.26 skol18 ), skol2( skol18 ) ) }.
% 8.86/9.26 parent0: (41328) {G2,W13,D3,L3,V0,M3} { ! ordinal( skol19( skol18 ) ),
% 8.86/9.26 skol2( skol18 ) = skol19( skol18 ), in( skol19( skol18 ), skol2( skol18 )
% 8.86/9.26 ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 0 ==> 0
% 8.86/9.26 1 ==> 1
% 8.86/9.26 2 ==> 2
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41332) {G7,W10,D3,L2,V0,M2} { skol2( skol18 ) ==> skol19(
% 8.86/9.26 skol18 ), in( skol19( skol18 ), skol2( skol18 ) ) }.
% 8.86/9.26 parent0[0]: (36517) {G8,W13,D3,L3,V0,M3} R(36337,76);r(33719) { ! ordinal(
% 8.86/9.26 skol19( skol18 ) ), skol2( skol18 ) ==> skol19( skol18 ), in( skol19(
% 8.86/9.26 skol18 ), skol2( skol18 ) ) }.
% 8.86/9.26 parent1[0]: (33715) {G6,W3,D3,L1,V0,M1} R(33650,1688) { ordinal( skol19(
% 8.86/9.26 skol18 ) ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41333) {G8,W5,D3,L1,V0,M1} { in( skol19( skol18 ), skol2(
% 8.86/9.26 skol18 ) ) }.
% 8.86/9.26 parent0[0]: (36331) {G7,W5,D3,L1,V0,M1} R(33713,203) { ! skol2( skol18 )
% 8.86/9.26 ==> skol19( skol18 ) }.
% 8.86/9.26 parent1[0]: (41332) {G7,W10,D3,L2,V0,M2} { skol2( skol18 ) ==> skol19(
% 8.86/9.26 skol18 ), in( skol19( skol18 ), skol2( skol18 ) ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 resolution: (41334) {G8,W0,D0,L0,V0,M0} { }.
% 8.86/9.26 parent0[0]: (36332) {G7,W5,D3,L1,V0,M1} R(33713,223) { ! in( skol19( skol18
% 8.86/9.26 ), skol2( skol18 ) ) }.
% 8.86/9.26 parent1[0]: (41333) {G8,W5,D3,L1,V0,M1} { in( skol19( skol18 ), skol2(
% 8.86/9.26 skol18 ) ) }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 substitution1:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 subsumption: (41144) {G9,W0,D0,L0,V0,M0} S(36517);r(33715);r(36331);r(36332
% 8.86/9.26 ) { }.
% 8.86/9.26 parent0: (41334) {G8,W0,D0,L0,V0,M0} { }.
% 8.86/9.26 substitution0:
% 8.86/9.26 end
% 8.86/9.26 permutation0:
% 8.86/9.26 end
% 8.86/9.26
% 8.86/9.26 Proof check complete!
% 8.86/9.26
% 8.86/9.26 Memory use:
% 8.86/9.26
% 8.86/9.26 space for terms: 542735
% 8.86/9.26 space for clauses: 1573407
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 clauses generated: 149318
% 8.86/9.26 clauses kept: 41145
% 8.86/9.26 clauses selected: 1444
% 8.86/9.26 clauses deleted: 3049
% 8.86/9.26 clauses inuse deleted: 119
% 8.86/9.26
% 8.86/9.26 subsentry: 676895
% 8.86/9.26 literals s-matched: 471238
% 8.86/9.26 literals matched: 461210
% 8.86/9.26 full subsumption: 80638
% 8.86/9.26
% 8.86/9.26 checksum: 910581979
% 8.86/9.26
% 8.86/9.26
% 8.86/9.26 Bliksem ended
%------------------------------------------------------------------------------