TSTP Solution File: SEU234+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU234+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 07:11:44 EDT 2022
% Result : Theorem 3.07s 3.45s
% Output : Refutation 3.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU234+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Sun Jun 19 12:50:37 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.18/1.56 *** allocated 10000 integers for termspace/termends
% 1.18/1.56 *** allocated 10000 integers for clauses
% 1.18/1.56 *** allocated 10000 integers for justifications
% 1.18/1.56 Bliksem 1.12
% 1.18/1.56
% 1.18/1.56
% 1.18/1.56 Automatic Strategy Selection
% 1.18/1.56
% 1.18/1.56
% 1.18/1.56 Clauses:
% 1.18/1.56
% 1.18/1.56 { ! in( X, Y ), ! in( Y, X ) }.
% 1.18/1.56 { ! empty( X ), function( X ) }.
% 1.18/1.56 { ! ordinal( X ), epsilon_transitive( X ) }.
% 1.18/1.56 { ! ordinal( X ), epsilon_connected( X ) }.
% 1.18/1.56 { ! empty( X ), relation( X ) }.
% 1.18/1.56 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 1.18/1.56 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 1.18/1.56 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 1.18/1.56 { ! epsilon_transitive( X ), ! epsilon_connected( X ), ordinal( X ) }.
% 1.18/1.56 { ! empty( X ), epsilon_transitive( X ) }.
% 1.18/1.56 { ! empty( X ), epsilon_connected( X ) }.
% 1.18/1.56 { ! empty( X ), ordinal( X ) }.
% 1.18/1.56 { ! epsilon_transitive( X ), ! in( Y, X ), subset( Y, X ) }.
% 1.18/1.56 { in( skol1( X ), X ), epsilon_transitive( X ) }.
% 1.18/1.56 { ! subset( skol1( X ), X ), epsilon_transitive( X ) }.
% 1.18/1.56 { ! epsilon_connected( X ), ! in( Y, X ), ! alpha2( X, Y, Z ) }.
% 1.18/1.56 { in( skol2( X ), X ), epsilon_connected( X ) }.
% 1.18/1.56 { alpha2( X, skol2( X ), skol18( X ) ), epsilon_connected( X ) }.
% 1.18/1.56 { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 1.18/1.56 { ! alpha2( X, Y, Z ), alpha1( Y, Z ) }.
% 1.18/1.56 { ! in( Z, X ), ! alpha1( Y, Z ), alpha2( X, Y, Z ) }.
% 1.18/1.56 { ! alpha1( X, Y ), ! in( X, Y ) }.
% 1.18/1.56 { ! alpha1( X, Y ), alpha3( X, Y ) }.
% 1.18/1.56 { in( X, Y ), ! alpha3( X, Y ), alpha1( X, Y ) }.
% 1.18/1.56 { ! alpha3( X, Y ), ! X = Y }.
% 1.18/1.56 { ! alpha3( X, Y ), ! in( Y, X ) }.
% 1.18/1.56 { X = Y, in( Y, X ), alpha3( X, Y ) }.
% 1.18/1.56 { ! ordinal( X ), epsilon_transitive( X ) }.
% 1.18/1.56 { ! ordinal( X ), epsilon_connected( X ) }.
% 1.18/1.56 { ! epsilon_transitive( X ), ! epsilon_connected( X ), ordinal( X ) }.
% 1.18/1.56 { element( skol3( X ), X ) }.
% 1.18/1.56 { empty( empty_set ) }.
% 1.18/1.56 { relation( empty_set ) }.
% 1.18/1.56 { relation_empty_yielding( empty_set ) }.
% 1.18/1.56 { empty( empty_set ) }.
% 1.18/1.56 { relation( empty_set ) }.
% 1.18/1.56 { relation_empty_yielding( empty_set ) }.
% 1.18/1.56 { function( empty_set ) }.
% 1.18/1.56 { one_to_one( empty_set ) }.
% 1.18/1.56 { empty( empty_set ) }.
% 1.18/1.56 { epsilon_transitive( empty_set ) }.
% 1.18/1.56 { epsilon_connected( empty_set ) }.
% 1.18/1.56 { ordinal( empty_set ) }.
% 1.18/1.56 { empty( empty_set ) }.
% 1.18/1.56 { relation( empty_set ) }.
% 1.18/1.56 { relation( skol4 ) }.
% 1.18/1.56 { function( skol4 ) }.
% 1.18/1.56 { epsilon_transitive( skol5 ) }.
% 1.18/1.56 { epsilon_connected( skol5 ) }.
% 1.18/1.56 { ordinal( skol5 ) }.
% 1.18/1.56 { empty( skol6 ) }.
% 1.18/1.56 { relation( skol6 ) }.
% 1.18/1.56 { empty( skol7 ) }.
% 1.18/1.56 { relation( skol8 ) }.
% 1.18/1.56 { empty( skol8 ) }.
% 1.18/1.56 { function( skol8 ) }.
% 1.18/1.56 { relation( skol9 ) }.
% 1.18/1.56 { function( skol9 ) }.
% 1.18/1.56 { one_to_one( skol9 ) }.
% 1.18/1.56 { empty( skol9 ) }.
% 1.18/1.56 { epsilon_transitive( skol9 ) }.
% 1.18/1.56 { epsilon_connected( skol9 ) }.
% 1.18/1.56 { ordinal( skol9 ) }.
% 1.18/1.56 { ! empty( skol10 ) }.
% 1.18/1.56 { relation( skol10 ) }.
% 1.18/1.56 { ! empty( skol11 ) }.
% 1.18/1.56 { relation( skol12 ) }.
% 1.18/1.56 { function( skol12 ) }.
% 1.18/1.56 { one_to_one( skol12 ) }.
% 1.18/1.56 { ! empty( skol13 ) }.
% 1.18/1.56 { epsilon_transitive( skol13 ) }.
% 1.18/1.56 { epsilon_connected( skol13 ) }.
% 1.18/1.56 { ordinal( skol13 ) }.
% 1.18/1.56 { relation( skol14 ) }.
% 1.18/1.56 { relation_empty_yielding( skol14 ) }.
% 1.18/1.56 { relation( skol15 ) }.
% 1.18/1.56 { relation_empty_yielding( skol15 ) }.
% 1.18/1.56 { function( skol15 ) }.
% 1.18/1.56 { relation( skol16 ) }.
% 1.18/1.56 { relation_non_empty( skol16 ) }.
% 1.18/1.56 { function( skol16 ) }.
% 1.18/1.56 { subset( X, X ) }.
% 1.18/1.56 { ! in( X, Y ), element( X, Y ) }.
% 1.18/1.56 { ! ordinal( X ), ! ordinal( Y ), in( X, Y ), X = Y, in( Y, X ) }.
% 1.18/1.56 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 1.18/1.56 { ! in( X, skol17 ), ordinal( X ) }.
% 1.18/1.56 { ! in( X, skol17 ), subset( X, skol17 ) }.
% 1.18/1.56 { ! ordinal( skol17 ) }.
% 1.18/1.56 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 1.18/1.56 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 1.18/1.56 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 1.18/1.56 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 1.18/1.56 { ! empty( X ), X = empty_set }.
% 1.18/1.56 { ! in( X, Y ), ! empty( Y ) }.
% 1.18/1.56 { ! empty( X ), X = Y, ! empty( Y ) }.
% 1.18/1.56
% 1.18/1.56 percentage equality = 0.036765, percentage horn = 0.916667
% 1.18/1.56 This is a problem with some equality
% 1.18/1.56
% 1.18/1.56
% 1.18/1.56
% 1.18/1.56 Options Used:
% 1.18/1.56
% 1.18/1.56 useres = 1
% 1.18/1.56 useparamod = 1
% 1.18/1.56 useeqrefl = 1
% 1.18/1.56 useeqfact = 1
% 1.18/1.56 usefactor = 1
% 1.18/1.56 usesimpsplitting = 0
% 1.18/1.56 usesimpdemod = 5
% 1.18/1.56 usesimpres = 3
% 1.18/1.56
% 1.18/1.56 resimpinuse = 1000
% 1.18/1.56 resimpclauses = 20000
% 1.18/1.56 substype = eqrewr
% 1.18/1.56 backwardsubs = 1
% 1.18/1.56 selectoldest = 5
% 1.18/1.56
% 1.18/1.56 litorderings [0] = split
% 1.18/1.56 litorderings [1] = extend the termordering, first sorting on arguments
% 3.07/3.45
% 3.07/3.45 termordering = kbo
% 3.07/3.45
% 3.07/3.45 litapriori = 0
% 3.07/3.45 termapriori = 1
% 3.07/3.45 litaposteriori = 0
% 3.07/3.45 termaposteriori = 0
% 3.07/3.45 demodaposteriori = 0
% 3.07/3.45 ordereqreflfact = 0
% 3.07/3.45
% 3.07/3.45 litselect = negord
% 3.07/3.45
% 3.07/3.45 maxweight = 15
% 3.07/3.45 maxdepth = 30000
% 3.07/3.45 maxlength = 115
% 3.07/3.45 maxnrvars = 195
% 3.07/3.45 excuselevel = 1
% 3.07/3.45 increasemaxweight = 1
% 3.07/3.45
% 3.07/3.45 maxselected = 10000000
% 3.07/3.45 maxnrclauses = 10000000
% 3.07/3.45
% 3.07/3.45 showgenerated = 0
% 3.07/3.45 showkept = 0
% 3.07/3.45 showselected = 0
% 3.07/3.45 showdeleted = 0
% 3.07/3.45 showresimp = 1
% 3.07/3.45 showstatus = 2000
% 3.07/3.45
% 3.07/3.45 prologoutput = 0
% 3.07/3.45 nrgoals = 5000000
% 3.07/3.45 totalproof = 1
% 3.07/3.45
% 3.07/3.45 Symbols occurring in the translation:
% 3.07/3.45
% 3.07/3.45 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.07/3.45 . [1, 2] (w:1, o:43, a:1, s:1, b:0),
% 3.07/3.45 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 3.07/3.45 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.07/3.45 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.07/3.45 in [37, 2] (w:1, o:67, a:1, s:1, b:0),
% 3.07/3.45 empty [38, 1] (w:1, o:29, a:1, s:1, b:0),
% 3.07/3.45 function [39, 1] (w:1, o:32, a:1, s:1, b:0),
% 3.07/3.45 ordinal [40, 1] (w:1, o:33, a:1, s:1, b:0),
% 3.07/3.45 epsilon_transitive [41, 1] (w:1, o:30, a:1, s:1, b:0),
% 3.07/3.45 epsilon_connected [42, 1] (w:1, o:31, a:1, s:1, b:0),
% 3.07/3.45 relation [43, 1] (w:1, o:34, a:1, s:1, b:0),
% 3.07/3.45 one_to_one [44, 1] (w:1, o:35, a:1, s:1, b:0),
% 3.07/3.45 subset [45, 2] (w:1, o:68, a:1, s:1, b:0),
% 3.07/3.45 element [47, 2] (w:1, o:69, a:1, s:1, b:0),
% 3.07/3.45 empty_set [48, 0] (w:1, o:9, a:1, s:1, b:0),
% 3.07/3.45 relation_empty_yielding [49, 1] (w:1, o:36, a:1, s:1, b:0),
% 3.07/3.45 relation_non_empty [50, 1] (w:1, o:37, a:1, s:1, b:0),
% 3.07/3.45 powerset [51, 1] (w:1, o:38, a:1, s:1, b:0),
% 3.07/3.45 alpha1 [52, 2] (w:1, o:70, a:1, s:1, b:1),
% 3.07/3.45 alpha2 [53, 3] (w:1, o:72, a:1, s:1, b:1),
% 3.07/3.45 alpha3 [54, 2] (w:1, o:71, a:1, s:1, b:1),
% 3.07/3.45 skol1 [55, 1] (w:1, o:39, a:1, s:1, b:1),
% 3.07/3.45 skol2 [56, 1] (w:1, o:41, a:1, s:1, b:1),
% 3.07/3.45 skol3 [57, 1] (w:1, o:42, a:1, s:1, b:1),
% 3.07/3.45 skol4 [58, 0] (w:1, o:10, a:1, s:1, b:1),
% 3.07/3.45 skol5 [59, 0] (w:1, o:11, a:1, s:1, b:1),
% 3.07/3.45 skol6 [60, 0] (w:1, o:12, a:1, s:1, b:1),
% 3.07/3.45 skol7 [61, 0] (w:1, o:13, a:1, s:1, b:1),
% 3.07/3.45 skol8 [62, 0] (w:1, o:14, a:1, s:1, b:1),
% 3.07/3.45 skol9 [63, 0] (w:1, o:15, a:1, s:1, b:1),
% 3.07/3.45 skol10 [64, 0] (w:1, o:16, a:1, s:1, b:1),
% 3.07/3.45 skol11 [65, 0] (w:1, o:17, a:1, s:1, b:1),
% 3.07/3.45 skol12 [66, 0] (w:1, o:18, a:1, s:1, b:1),
% 3.07/3.45 skol13 [67, 0] (w:1, o:19, a:1, s:1, b:1),
% 3.07/3.45 skol14 [68, 0] (w:1, o:20, a:1, s:1, b:1),
% 3.07/3.45 skol15 [69, 0] (w:1, o:21, a:1, s:1, b:1),
% 3.07/3.45 skol16 [70, 0] (w:1, o:22, a:1, s:1, b:1),
% 3.07/3.45 skol17 [71, 0] (w:1, o:23, a:1, s:1, b:1),
% 3.07/3.45 skol18 [72, 1] (w:1, o:40, a:1, s:1, b:1).
% 3.07/3.45
% 3.07/3.45
% 3.07/3.45 Starting Search:
% 3.07/3.45
% 3.07/3.45 *** allocated 15000 integers for clauses
% 3.07/3.45 *** allocated 22500 integers for clauses
% 3.07/3.45 *** allocated 33750 integers for clauses
% 3.07/3.45 *** allocated 50625 integers for clauses
% 3.07/3.45 *** allocated 15000 integers for termspace/termends
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45 *** allocated 75937 integers for clauses
% 3.07/3.45 *** allocated 22500 integers for termspace/termends
% 3.07/3.45 *** allocated 113905 integers for clauses
% 3.07/3.45
% 3.07/3.45 Intermediate Status:
% 3.07/3.45 Generated: 6441
% 3.07/3.45 Kept: 2007
% 3.07/3.45 Inuse: 366
% 3.07/3.45 Deleted: 66
% 3.07/3.45 Deletedinuse: 42
% 3.07/3.45
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45 *** allocated 33750 integers for termspace/termends
% 3.07/3.45 *** allocated 170857 integers for clauses
% 3.07/3.45 *** allocated 50625 integers for termspace/termends
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45
% 3.07/3.45 Intermediate Status:
% 3.07/3.45 Generated: 16159
% 3.07/3.45 Kept: 4109
% 3.07/3.45 Inuse: 553
% 3.07/3.45 Deleted: 85
% 3.07/3.45 Deletedinuse: 42
% 3.07/3.45
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45 *** allocated 256285 integers for clauses
% 3.07/3.45 *** allocated 75937 integers for termspace/termends
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45 *** allocated 113905 integers for termspace/termends
% 3.07/3.45
% 3.07/3.45 Intermediate Status:
% 3.07/3.45 Generated: 22421
% 3.07/3.45 Kept: 6384
% 3.07/3.45 Inuse: 573
% 3.07/3.45 Deleted: 85
% 3.07/3.45 Deletedinuse: 42
% 3.07/3.45
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45 *** allocated 384427 integers for clauses
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45 *** allocated 170857 integers for termspace/termends
% 3.07/3.45
% 3.07/3.45 Intermediate Status:
% 3.07/3.45 Generated: 28760
% 3.07/3.45 Kept: 8982
% 3.07/3.45 Inuse: 593
% 3.07/3.45 Deleted: 91
% 3.07/3.45 Deletedinuse: 48
% 3.07/3.45
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45 *** allocated 576640 integers for clauses
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45
% 3.07/3.45 Intermediate Status:
% 3.07/3.45 Generated: 37843
% 3.07/3.45 Kept: 10992
% 3.07/3.45 Inuse: 704
% 3.07/3.45 Deleted: 114
% 3.07/3.45 Deletedinuse: 48
% 3.07/3.45
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45
% 3.07/3.45 Intermediate Status:
% 3.07/3.45 Generated: 46558
% 3.07/3.45 Kept: 12995
% 3.07/3.45 Inuse: 764
% 3.07/3.45 Deleted: 122
% 3.07/3.45 Deletedinuse: 53
% 3.07/3.45
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45 *** allocated 256285 integers for termspace/termends
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45 *** allocated 864960 integers for clauses
% 3.07/3.45
% 3.07/3.45 Intermediate Status:
% 3.07/3.45 Generated: 55288
% 3.07/3.45 Kept: 14995
% 3.07/3.45 Inuse: 854
% 3.07/3.45 Deleted: 128
% 3.07/3.45 Deletedinuse: 53
% 3.07/3.45
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45
% 3.07/3.45 Intermediate Status:
% 3.07/3.45 Generated: 63937
% 3.07/3.45 Kept: 16996
% 3.07/3.45 Inuse: 950
% 3.07/3.45 Deleted: 136
% 3.07/3.45 Deletedinuse: 53
% 3.07/3.45
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45
% 3.07/3.45 Intermediate Status:
% 3.07/3.45 Generated: 70716
% 3.07/3.45 Kept: 19005
% 3.07/3.45 Inuse: 1016
% 3.07/3.45 Deleted: 151
% 3.07/3.45 Deletedinuse: 53
% 3.07/3.45
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45 *** allocated 384427 integers for termspace/termends
% 3.07/3.45
% 3.07/3.45 Intermediate Status:
% 3.07/3.45 Generated: 77150
% 3.07/3.45 Kept: 21280
% 3.07/3.45 Inuse: 1048
% 3.07/3.45 Deleted: 151
% 3.07/3.45 Deletedinuse: 53
% 3.07/3.45
% 3.07/3.45 Resimplifying inuse:
% 3.07/3.45 Done
% 3.07/3.45
% 3.07/3.45 Resimplifying clauses:
% 3.07/3.45
% 3.07/3.45 Bliksems!, er is een bewijs:
% 3.07/3.45 % SZS status Theorem
% 3.07/3.45 % SZS output start Refutation
% 3.07/3.45
% 3.07/3.45 (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive( X ) }.
% 3.07/3.45 (3) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_connected( X ) }.
% 3.07/3.45 (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), ! epsilon_connected
% 3.07/3.45 ( X ), ordinal( X ) }.
% 3.07/3.45 (11) {G0,W6,D3,L2,V1,M2} I { in( skol1( X ), X ), epsilon_transitive( X )
% 3.07/3.45 }.
% 3.07/3.45 (12) {G0,W6,D3,L2,V1,M2} I { ! subset( skol1( X ), X ), epsilon_transitive
% 3.07/3.45 ( X ) }.
% 3.07/3.45 (14) {G0,W6,D3,L2,V1,M2} I { in( skol2( X ), X ), epsilon_connected( X )
% 3.07/3.45 }.
% 3.07/3.45 (15) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol18( X ) ),
% 3.07/3.45 epsilon_connected( X ) }.
% 3.07/3.45 (16) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 3.07/3.45 (17) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), alpha1( Y, Z ) }.
% 3.07/3.45 (19) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! in( X, Y ) }.
% 3.07/3.45 (20) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y ) }.
% 3.07/3.45 (22) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! X = Y }.
% 3.07/3.45 (23) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! in( Y, X ) }.
% 3.07/3.45 (72) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ), in( X, Y ), X
% 3.07/3.45 = Y, in( Y, X ) }.
% 3.07/3.45 (74) {G0,W5,D2,L2,V1,M2} I { ! in( X, skol17 ), ordinal( X ) }.
% 3.07/3.45 (75) {G0,W6,D2,L2,V1,M2} I { ! in( X, skol17 ), subset( X, skol17 ) }.
% 3.07/3.45 (76) {G0,W2,D2,L1,V0,M1} I { ! ordinal( skol17 ) }.
% 3.07/3.45 (87) {G1,W4,D2,L2,V0,M2} R(6,76) { ! epsilon_transitive( skol17 ), !
% 3.07/3.45 epsilon_connected( skol17 ) }.
% 3.07/3.45 (152) {G1,W7,D3,L2,V1,M2} R(17,15) { alpha1( skol2( X ), skol18( X ) ),
% 3.07/3.45 epsilon_connected( X ) }.
% 3.07/3.45 (191) {G1,W5,D2,L2,V1,M2} R(74,3) { ! in( X, skol17 ), epsilon_connected( X
% 3.07/3.45 ) }.
% 3.07/3.45 (192) {G1,W5,D2,L2,V1,M2} R(74,2) { ! in( X, skol17 ), epsilon_transitive(
% 3.07/3.45 X ) }.
% 3.07/3.45 (194) {G2,W6,D2,L2,V2,M2} R(191,16) { epsilon_connected( X ), ! alpha2(
% 3.07/3.45 skol17, Y, X ) }.
% 3.07/3.45 (195) {G2,W5,D3,L2,V0,M2} R(191,14) { epsilon_connected( skol2( skol17 ) )
% 3.07/3.45 , epsilon_connected( skol17 ) }.
% 3.07/3.45 (198) {G1,W6,D2,L2,V2,M2} R(22,20) { ! X = Y, ! alpha1( X, Y ) }.
% 3.07/3.45 (203) {G2,W6,D2,L2,V2,M2} R(192,16) { epsilon_transitive( X ), ! alpha2(
% 3.07/3.45 skol17, Y, X ) }.
% 3.07/3.45 (204) {G2,W5,D3,L2,V0,M2} R(192,14) { epsilon_transitive( skol2( skol17 ) )
% 3.07/3.45 , epsilon_connected( skol17 ) }.
% 3.07/3.45 (207) {G3,W5,D3,L2,V0,M2} R(204,87) { epsilon_transitive( skol2( skol17 ) )
% 3.07/3.45 , ! epsilon_transitive( skol17 ) }.
% 3.07/3.45 (211) {G1,W6,D2,L2,V2,M2} R(23,20) { ! in( X, Y ), ! alpha1( Y, X ) }.
% 3.07/3.45 (507) {G1,W2,D2,L1,V0,M1} R(75,12);r(11) { epsilon_transitive( skol17 ) }.
% 3.07/3.45 (510) {G4,W3,D3,L1,V0,M1} R(507,207) { epsilon_transitive( skol2( skol17 )
% 3.07/3.45 ) }.
% 3.07/3.45 (511) {G2,W2,D2,L1,V0,M1} R(507,87) { ! epsilon_connected( skol17 ) }.
% 3.07/3.45 (514) {G3,W3,D3,L1,V0,M1} R(511,195) { epsilon_connected( skol2( skol17 ) )
% 3.07/3.45 }.
% 3.07/3.45 (520) {G5,W3,D3,L1,V0,M1} R(514,6);r(510) { ordinal( skol2( skol17 ) ) }.
% 3.07/3.45 (910) {G3,W3,D3,L1,V0,M1} R(203,15);r(511) { epsilon_transitive( skol18(
% 3.07/3.45 skol17 ) ) }.
% 3.07/3.45 (931) {G3,W3,D3,L1,V0,M1} R(194,15);r(511) { epsilon_connected( skol18(
% 3.07/3.45 skol17 ) ) }.
% 3.07/3.45 (935) {G4,W3,D3,L1,V0,M1} R(931,6);r(910) { ordinal( skol18( skol17 ) ) }.
% 3.07/3.45 (1721) {G3,W5,D3,L1,V0,M1} R(152,511) { alpha1( skol2( skol17 ), skol18(
% 3.07/3.45 skol17 ) ) }.
% 3.07/3.45 (1725) {G4,W5,D3,L1,V0,M1} R(1721,198) { ! skol2( skol17 ) ==> skol18(
% 3.07/3.45 skol17 ) }.
% 3.07/3.45 (1726) {G4,W5,D3,L1,V0,M1} R(1721,211) { ! in( skol18( skol17 ), skol2(
% 3.07/3.45 skol17 ) ) }.
% 3.07/3.45 (1728) {G4,W5,D3,L1,V0,M1} R(1721,19) { ! in( skol2( skol17 ), skol18(
% 3.07/3.45 skol17 ) ) }.
% 3.07/3.45 (1781) {G6,W13,D3,L3,V0,M3} R(1728,72);r(520) { ! ordinal( skol18( skol17 )
% 3.07/3.45 ), skol2( skol17 ) ==> skol18( skol17 ), in( skol18( skol17 ), skol2(
% 3.07/3.45 skol17 ) ) }.
% 3.07/3.45 (21510) {G7,W0,D0,L0,V0,M0} S(1781);r(935);r(1725);r(1726) { }.
% 3.07/3.45
% 3.07/3.45
% 3.07/3.45 % SZS output end Refutation
% 3.07/3.45 found a proof!
% 3.07/3.45
% 3.07/3.45
% 3.07/3.45 Unprocessed initial clauses:
% 3.07/3.45
% 3.07/3.45 (21512) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 3.07/3.45 (21513) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 3.07/3.45 (21514) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive( X ) }.
% 3.07/3.45 (21515) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected( X ) }.
% 3.07/3.45 (21516) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 3.07/3.45 (21517) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 3.07/3.45 ), relation( X ) }.
% 3.07/3.45 (21518) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 3.07/3.45 ), function( X ) }.
% 3.07/3.45 (21519) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 3.07/3.45 ), one_to_one( X ) }.
% 3.07/3.45 (21520) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 3.07/3.45 epsilon_connected( X ), ordinal( X ) }.
% 3.07/3.45 (21521) {G0,W4,D2,L2,V1,M2} { ! empty( X ), epsilon_transitive( X ) }.
% 3.07/3.45 (21522) {G0,W4,D2,L2,V1,M2} { ! empty( X ), epsilon_connected( X ) }.
% 3.07/3.45 (21523) {G0,W4,D2,L2,V1,M2} { ! empty( X ), ordinal( X ) }.
% 3.07/3.45 (21524) {G0,W8,D2,L3,V2,M3} { ! epsilon_transitive( X ), ! in( Y, X ),
% 3.07/3.45 subset( Y, X ) }.
% 3.07/3.45 (21525) {G0,W6,D3,L2,V1,M2} { in( skol1( X ), X ), epsilon_transitive( X )
% 3.07/3.45 }.
% 3.07/3.45 (21526) {G0,W6,D3,L2,V1,M2} { ! subset( skol1( X ), X ),
% 3.07/3.45 epsilon_transitive( X ) }.
% 3.07/3.45 (21527) {G0,W9,D2,L3,V3,M3} { ! epsilon_connected( X ), ! in( Y, X ), !
% 3.07/3.45 alpha2( X, Y, Z ) }.
% 3.07/3.45 (21528) {G0,W6,D3,L2,V1,M2} { in( skol2( X ), X ), epsilon_connected( X )
% 3.07/3.45 }.
% 3.07/3.45 (21529) {G0,W8,D3,L2,V1,M2} { alpha2( X, skol2( X ), skol18( X ) ),
% 3.07/3.45 epsilon_connected( X ) }.
% 3.07/3.45 (21530) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 3.07/3.45 (21531) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha1( Y, Z ) }.
% 3.07/3.45 (21532) {G0,W10,D2,L3,V3,M3} { ! in( Z, X ), ! alpha1( Y, Z ), alpha2( X,
% 3.07/3.45 Y, Z ) }.
% 3.07/3.45 (21533) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! in( X, Y ) }.
% 3.07/3.45 (21534) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha3( X, Y ) }.
% 3.07/3.45 (21535) {G0,W9,D2,L3,V2,M3} { in( X, Y ), ! alpha3( X, Y ), alpha1( X, Y )
% 3.07/3.45 }.
% 3.07/3.45 (21536) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), ! X = Y }.
% 3.07/3.45 (21537) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), ! in( Y, X ) }.
% 3.07/3.45 (21538) {G0,W9,D2,L3,V2,M3} { X = Y, in( Y, X ), alpha3( X, Y ) }.
% 3.07/3.45 (21539) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive( X ) }.
% 3.07/3.45 (21540) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected( X ) }.
% 3.07/3.45 (21541) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 3.07/3.45 epsilon_connected( X ), ordinal( X ) }.
% 3.07/3.45 (21542) {G0,W4,D3,L1,V1,M1} { element( skol3( X ), X ) }.
% 3.07/3.45 (21543) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 3.07/3.45 (21544) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 3.07/3.45 (21545) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 3.07/3.45 (21546) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 3.07/3.45 (21547) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 3.07/3.45 (21548) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 3.07/3.45 (21549) {G0,W2,D2,L1,V0,M1} { function( empty_set ) }.
% 3.07/3.45 (21550) {G0,W2,D2,L1,V0,M1} { one_to_one( empty_set ) }.
% 3.07/3.45 (21551) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 3.07/3.45 (21552) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( empty_set ) }.
% 3.07/3.45 (21553) {G0,W2,D2,L1,V0,M1} { epsilon_connected( empty_set ) }.
% 3.07/3.45 (21554) {G0,W2,D2,L1,V0,M1} { ordinal( empty_set ) }.
% 3.07/3.45 (21555) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 3.07/3.45 (21556) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 3.07/3.45 (21557) {G0,W2,D2,L1,V0,M1} { relation( skol4 ) }.
% 3.07/3.45 (21558) {G0,W2,D2,L1,V0,M1} { function( skol4 ) }.
% 3.07/3.45 (21559) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol5 ) }.
% 3.07/3.45 (21560) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol5 ) }.
% 3.07/3.45 (21561) {G0,W2,D2,L1,V0,M1} { ordinal( skol5 ) }.
% 3.07/3.45 (21562) {G0,W2,D2,L1,V0,M1} { empty( skol6 ) }.
% 3.07/3.45 (21563) {G0,W2,D2,L1,V0,M1} { relation( skol6 ) }.
% 3.07/3.45 (21564) {G0,W2,D2,L1,V0,M1} { empty( skol7 ) }.
% 3.07/3.45 (21565) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 3.07/3.45 (21566) {G0,W2,D2,L1,V0,M1} { empty( skol8 ) }.
% 3.07/3.45 (21567) {G0,W2,D2,L1,V0,M1} { function( skol8 ) }.
% 3.07/3.45 (21568) {G0,W2,D2,L1,V0,M1} { relation( skol9 ) }.
% 3.07/3.45 (21569) {G0,W2,D2,L1,V0,M1} { function( skol9 ) }.
% 3.07/3.45 (21570) {G0,W2,D2,L1,V0,M1} { one_to_one( skol9 ) }.
% 3.07/3.45 (21571) {G0,W2,D2,L1,V0,M1} { empty( skol9 ) }.
% 3.07/3.45 (21572) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol9 ) }.
% 3.07/3.45 (21573) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol9 ) }.
% 3.07/3.45 (21574) {G0,W2,D2,L1,V0,M1} { ordinal( skol9 ) }.
% 3.07/3.45 (21575) {G0,W2,D2,L1,V0,M1} { ! empty( skol10 ) }.
% 3.07/3.45 (21576) {G0,W2,D2,L1,V0,M1} { relation( skol10 ) }.
% 3.07/3.45 (21577) {G0,W2,D2,L1,V0,M1} { ! empty( skol11 ) }.
% 3.07/3.45 (21578) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 3.07/3.45 (21579) {G0,W2,D2,L1,V0,M1} { function( skol12 ) }.
% 3.07/3.45 (21580) {G0,W2,D2,L1,V0,M1} { one_to_one( skol12 ) }.
% 3.07/3.45 (21581) {G0,W2,D2,L1,V0,M1} { ! empty( skol13 ) }.
% 3.07/3.45 (21582) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol13 ) }.
% 3.07/3.45 (21583) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol13 ) }.
% 3.07/3.45 (21584) {G0,W2,D2,L1,V0,M1} { ordinal( skol13 ) }.
% 3.07/3.45 (21585) {G0,W2,D2,L1,V0,M1} { relation( skol14 ) }.
% 3.07/3.45 (21586) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol14 ) }.
% 3.07/3.45 (21587) {G0,W2,D2,L1,V0,M1} { relation( skol15 ) }.
% 3.07/3.45 (21588) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol15 ) }.
% 3.07/3.45 (21589) {G0,W2,D2,L1,V0,M1} { function( skol15 ) }.
% 3.07/3.45 (21590) {G0,W2,D2,L1,V0,M1} { relation( skol16 ) }.
% 3.07/3.45 (21591) {G0,W2,D2,L1,V0,M1} { relation_non_empty( skol16 ) }.
% 3.07/3.45 (21592) {G0,W2,D2,L1,V0,M1} { function( skol16 ) }.
% 3.07/3.45 (21593) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 3.07/3.45 (21594) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 3.07/3.45 (21595) {G0,W13,D2,L5,V2,M5} { ! ordinal( X ), ! ordinal( Y ), in( X, Y )
% 3.07/3.45 , X = Y, in( Y, X ) }.
% 3.07/3.45 (21596) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 3.07/3.45 }.
% 3.07/3.45 (21597) {G0,W5,D2,L2,V1,M2} { ! in( X, skol17 ), ordinal( X ) }.
% 3.07/3.45 (21598) {G0,W6,D2,L2,V1,M2} { ! in( X, skol17 ), subset( X, skol17 ) }.
% 3.07/3.45 (21599) {G0,W2,D2,L1,V0,M1} { ! ordinal( skol17 ) }.
% 3.07/3.45 (21600) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 3.07/3.45 ) }.
% 3.07/3.45 (21601) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 3.07/3.45 ) }.
% 3.07/3.45 (21602) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 3.07/3.45 , element( X, Y ) }.
% 3.07/3.45 (21603) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 3.07/3.45 , ! empty( Z ) }.
% 3.07/3.45 (21604) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 3.07/3.45 (21605) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 3.07/3.45 (21606) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 3.07/3.45
% 3.07/3.45
% 3.07/3.45 Total Proof:
% 3.07/3.45
% 3.07/3.45 subsumption: (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive
% 3.07/3.45 ( X ) }.
% 3.07/3.45 parent0: (21514) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive
% 3.07/3.45 ( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (3) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_connected
% 3.07/3.45 ( X ) }.
% 3.07/3.45 parent0: (21515) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected(
% 3.07/3.45 X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), !
% 3.07/3.45 epsilon_connected( X ), ordinal( X ) }.
% 3.07/3.45 parent0: (21520) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 3.07/3.45 epsilon_connected( X ), ordinal( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 2 ==> 2
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (11) {G0,W6,D3,L2,V1,M2} I { in( skol1( X ), X ),
% 3.07/3.45 epsilon_transitive( X ) }.
% 3.07/3.45 parent0: (21525) {G0,W6,D3,L2,V1,M2} { in( skol1( X ), X ),
% 3.07/3.45 epsilon_transitive( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (12) {G0,W6,D3,L2,V1,M2} I { ! subset( skol1( X ), X ),
% 3.07/3.45 epsilon_transitive( X ) }.
% 3.07/3.45 parent0: (21526) {G0,W6,D3,L2,V1,M2} { ! subset( skol1( X ), X ),
% 3.07/3.45 epsilon_transitive( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (14) {G0,W6,D3,L2,V1,M2} I { in( skol2( X ), X ),
% 3.07/3.45 epsilon_connected( X ) }.
% 3.07/3.45 parent0: (21528) {G0,W6,D3,L2,V1,M2} { in( skol2( X ), X ),
% 3.07/3.45 epsilon_connected( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (15) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol18( X
% 3.07/3.45 ) ), epsilon_connected( X ) }.
% 3.07/3.45 parent0: (21529) {G0,W8,D3,L2,V1,M2} { alpha2( X, skol2( X ), skol18( X )
% 3.07/3.45 ), epsilon_connected( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (16) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Z, X )
% 3.07/3.45 }.
% 3.07/3.45 parent0: (21530) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 Y := Y
% 3.07/3.45 Z := Z
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (17) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), alpha1( Y, Z
% 3.07/3.45 ) }.
% 3.07/3.45 parent0: (21531) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha1( Y, Z )
% 3.07/3.45 }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 Y := Y
% 3.07/3.45 Z := Z
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (19) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! in( X, Y )
% 3.07/3.45 }.
% 3.07/3.45 parent0: (21533) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! in( X, Y ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 Y := Y
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (20) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y )
% 3.07/3.45 }.
% 3.07/3.45 parent0: (21534) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha3( X, Y )
% 3.07/3.45 }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 Y := Y
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (22) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! X = Y }.
% 3.07/3.45 parent0: (21536) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), ! X = Y }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 Y := Y
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (23) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! in( Y, X )
% 3.07/3.45 }.
% 3.07/3.45 parent0: (21537) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), ! in( Y, X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 Y := Y
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (72) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ),
% 3.07/3.45 in( X, Y ), X = Y, in( Y, X ) }.
% 3.07/3.45 parent0: (21595) {G0,W13,D2,L5,V2,M5} { ! ordinal( X ), ! ordinal( Y ), in
% 3.07/3.45 ( X, Y ), X = Y, in( Y, X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 Y := Y
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 2 ==> 2
% 3.07/3.45 3 ==> 3
% 3.07/3.45 4 ==> 4
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (74) {G0,W5,D2,L2,V1,M2} I { ! in( X, skol17 ), ordinal( X )
% 3.07/3.45 }.
% 3.07/3.45 parent0: (21597) {G0,W5,D2,L2,V1,M2} { ! in( X, skol17 ), ordinal( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (75) {G0,W6,D2,L2,V1,M2} I { ! in( X, skol17 ), subset( X,
% 3.07/3.45 skol17 ) }.
% 3.07/3.45 parent0: (21598) {G0,W6,D2,L2,V1,M2} { ! in( X, skol17 ), subset( X,
% 3.07/3.45 skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (76) {G0,W2,D2,L1,V0,M1} I { ! ordinal( skol17 ) }.
% 3.07/3.45 parent0: (21599) {G0,W2,D2,L1,V0,M1} { ! ordinal( skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21646) {G1,W4,D2,L2,V0,M2} { ! epsilon_transitive( skol17 ),
% 3.07/3.45 ! epsilon_connected( skol17 ) }.
% 3.07/3.45 parent0[0]: (76) {G0,W2,D2,L1,V0,M1} I { ! ordinal( skol17 ) }.
% 3.07/3.45 parent1[2]: (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), !
% 3.07/3.45 epsilon_connected( X ), ordinal( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 X := skol17
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (87) {G1,W4,D2,L2,V0,M2} R(6,76) { ! epsilon_transitive(
% 3.07/3.45 skol17 ), ! epsilon_connected( skol17 ) }.
% 3.07/3.45 parent0: (21646) {G1,W4,D2,L2,V0,M2} { ! epsilon_transitive( skol17 ), !
% 3.07/3.45 epsilon_connected( skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21647) {G1,W7,D3,L2,V1,M2} { alpha1( skol2( X ), skol18( X )
% 3.07/3.45 ), epsilon_connected( X ) }.
% 3.07/3.45 parent0[0]: (17) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), alpha1( Y, Z
% 3.07/3.45 ) }.
% 3.07/3.45 parent1[0]: (15) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol18( X )
% 3.07/3.45 ), epsilon_connected( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 Y := skol2( X )
% 3.07/3.45 Z := skol18( X )
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (152) {G1,W7,D3,L2,V1,M2} R(17,15) { alpha1( skol2( X ),
% 3.07/3.45 skol18( X ) ), epsilon_connected( X ) }.
% 3.07/3.45 parent0: (21647) {G1,W7,D3,L2,V1,M2} { alpha1( skol2( X ), skol18( X ) ),
% 3.07/3.45 epsilon_connected( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21648) {G1,W5,D2,L2,V1,M2} { epsilon_connected( X ), ! in( X
% 3.07/3.45 , skol17 ) }.
% 3.07/3.45 parent0[0]: (3) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_connected(
% 3.07/3.45 X ) }.
% 3.07/3.45 parent1[1]: (74) {G0,W5,D2,L2,V1,M2} I { ! in( X, skol17 ), ordinal( X )
% 3.07/3.45 }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (191) {G1,W5,D2,L2,V1,M2} R(74,3) { ! in( X, skol17 ),
% 3.07/3.45 epsilon_connected( X ) }.
% 3.07/3.45 parent0: (21648) {G1,W5,D2,L2,V1,M2} { epsilon_connected( X ), ! in( X,
% 3.07/3.45 skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 1
% 3.07/3.45 1 ==> 0
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21649) {G1,W5,D2,L2,V1,M2} { epsilon_transitive( X ), ! in( X
% 3.07/3.45 , skol17 ) }.
% 3.07/3.45 parent0[0]: (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive
% 3.07/3.45 ( X ) }.
% 3.07/3.45 parent1[1]: (74) {G0,W5,D2,L2,V1,M2} I { ! in( X, skol17 ), ordinal( X )
% 3.07/3.45 }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (192) {G1,W5,D2,L2,V1,M2} R(74,2) { ! in( X, skol17 ),
% 3.07/3.45 epsilon_transitive( X ) }.
% 3.07/3.45 parent0: (21649) {G1,W5,D2,L2,V1,M2} { epsilon_transitive( X ), ! in( X,
% 3.07/3.45 skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 1
% 3.07/3.45 1 ==> 0
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21650) {G1,W6,D2,L2,V2,M2} { epsilon_connected( X ), ! alpha2
% 3.07/3.45 ( skol17, Y, X ) }.
% 3.07/3.45 parent0[0]: (191) {G1,W5,D2,L2,V1,M2} R(74,3) { ! in( X, skol17 ),
% 3.07/3.45 epsilon_connected( X ) }.
% 3.07/3.45 parent1[1]: (16) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Z, X )
% 3.07/3.45 }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 X := skol17
% 3.07/3.45 Y := Y
% 3.07/3.45 Z := X
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (194) {G2,W6,D2,L2,V2,M2} R(191,16) { epsilon_connected( X ),
% 3.07/3.45 ! alpha2( skol17, Y, X ) }.
% 3.07/3.45 parent0: (21650) {G1,W6,D2,L2,V2,M2} { epsilon_connected( X ), ! alpha2(
% 3.07/3.45 skol17, Y, X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 Y := Y
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21651) {G1,W5,D3,L2,V0,M2} { epsilon_connected( skol2( skol17
% 3.07/3.45 ) ), epsilon_connected( skol17 ) }.
% 3.07/3.45 parent0[0]: (191) {G1,W5,D2,L2,V1,M2} R(74,3) { ! in( X, skol17 ),
% 3.07/3.45 epsilon_connected( X ) }.
% 3.07/3.45 parent1[0]: (14) {G0,W6,D3,L2,V1,M2} I { in( skol2( X ), X ),
% 3.07/3.45 epsilon_connected( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := skol2( skol17 )
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 X := skol17
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (195) {G2,W5,D3,L2,V0,M2} R(191,14) { epsilon_connected( skol2
% 3.07/3.45 ( skol17 ) ), epsilon_connected( skol17 ) }.
% 3.07/3.45 parent0: (21651) {G1,W5,D3,L2,V0,M2} { epsilon_connected( skol2( skol17 )
% 3.07/3.45 ), epsilon_connected( skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 eqswap: (21652) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha3( X, Y ) }.
% 3.07/3.45 parent0[1]: (22) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! X = Y }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 Y := Y
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21653) {G1,W6,D2,L2,V2,M2} { ! X = Y, ! alpha1( Y, X ) }.
% 3.07/3.45 parent0[1]: (21652) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha3( X, Y ) }.
% 3.07/3.45 parent1[1]: (20) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y )
% 3.07/3.45 }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := Y
% 3.07/3.45 Y := X
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 X := Y
% 3.07/3.45 Y := X
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 eqswap: (21654) {G1,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 3.07/3.45 parent0[0]: (21653) {G1,W6,D2,L2,V2,M2} { ! X = Y, ! alpha1( Y, X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 Y := Y
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (198) {G1,W6,D2,L2,V2,M2} R(22,20) { ! X = Y, ! alpha1( X, Y )
% 3.07/3.45 }.
% 3.07/3.45 parent0: (21654) {G1,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := Y
% 3.07/3.45 Y := X
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21655) {G1,W6,D2,L2,V2,M2} { epsilon_transitive( X ), !
% 3.07/3.45 alpha2( skol17, Y, X ) }.
% 3.07/3.45 parent0[0]: (192) {G1,W5,D2,L2,V1,M2} R(74,2) { ! in( X, skol17 ),
% 3.07/3.45 epsilon_transitive( X ) }.
% 3.07/3.45 parent1[1]: (16) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Z, X )
% 3.07/3.45 }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 X := skol17
% 3.07/3.45 Y := Y
% 3.07/3.45 Z := X
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (203) {G2,W6,D2,L2,V2,M2} R(192,16) { epsilon_transitive( X )
% 3.07/3.45 , ! alpha2( skol17, Y, X ) }.
% 3.07/3.45 parent0: (21655) {G1,W6,D2,L2,V2,M2} { epsilon_transitive( X ), ! alpha2(
% 3.07/3.45 skol17, Y, X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 Y := Y
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21656) {G1,W5,D3,L2,V0,M2} { epsilon_transitive( skol2(
% 3.07/3.45 skol17 ) ), epsilon_connected( skol17 ) }.
% 3.07/3.45 parent0[0]: (192) {G1,W5,D2,L2,V1,M2} R(74,2) { ! in( X, skol17 ),
% 3.07/3.45 epsilon_transitive( X ) }.
% 3.07/3.45 parent1[0]: (14) {G0,W6,D3,L2,V1,M2} I { in( skol2( X ), X ),
% 3.07/3.45 epsilon_connected( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := skol2( skol17 )
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 X := skol17
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (204) {G2,W5,D3,L2,V0,M2} R(192,14) { epsilon_transitive(
% 3.07/3.45 skol2( skol17 ) ), epsilon_connected( skol17 ) }.
% 3.07/3.45 parent0: (21656) {G1,W5,D3,L2,V0,M2} { epsilon_transitive( skol2( skol17 )
% 3.07/3.45 ), epsilon_connected( skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21657) {G2,W5,D3,L2,V0,M2} { ! epsilon_transitive( skol17 ),
% 3.07/3.45 epsilon_transitive( skol2( skol17 ) ) }.
% 3.07/3.45 parent0[1]: (87) {G1,W4,D2,L2,V0,M2} R(6,76) { ! epsilon_transitive( skol17
% 3.07/3.45 ), ! epsilon_connected( skol17 ) }.
% 3.07/3.45 parent1[1]: (204) {G2,W5,D3,L2,V0,M2} R(192,14) { epsilon_transitive( skol2
% 3.07/3.45 ( skol17 ) ), epsilon_connected( skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (207) {G3,W5,D3,L2,V0,M2} R(204,87) { epsilon_transitive(
% 3.07/3.45 skol2( skol17 ) ), ! epsilon_transitive( skol17 ) }.
% 3.07/3.45 parent0: (21657) {G2,W5,D3,L2,V0,M2} { ! epsilon_transitive( skol17 ),
% 3.07/3.45 epsilon_transitive( skol2( skol17 ) ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 1
% 3.07/3.45 1 ==> 0
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21658) {G1,W6,D2,L2,V2,M2} { ! in( Y, X ), ! alpha1( X, Y )
% 3.07/3.45 }.
% 3.07/3.45 parent0[0]: (23) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! in( Y, X ) }.
% 3.07/3.45 parent1[1]: (20) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y )
% 3.07/3.45 }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 Y := Y
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 X := X
% 3.07/3.45 Y := Y
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (211) {G1,W6,D2,L2,V2,M2} R(23,20) { ! in( X, Y ), ! alpha1( Y
% 3.07/3.45 , X ) }.
% 3.07/3.45 parent0: (21658) {G1,W6,D2,L2,V2,M2} { ! in( Y, X ), ! alpha1( X, Y ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := Y
% 3.07/3.45 Y := X
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 1 ==> 1
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21659) {G1,W6,D3,L2,V0,M2} { epsilon_transitive( skol17 ), !
% 3.07/3.45 in( skol1( skol17 ), skol17 ) }.
% 3.07/3.45 parent0[0]: (12) {G0,W6,D3,L2,V1,M2} I { ! subset( skol1( X ), X ),
% 3.07/3.45 epsilon_transitive( X ) }.
% 3.07/3.45 parent1[1]: (75) {G0,W6,D2,L2,V1,M2} I { ! in( X, skol17 ), subset( X,
% 3.07/3.45 skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := skol17
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 X := skol1( skol17 )
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21660) {G1,W4,D2,L2,V0,M2} { epsilon_transitive( skol17 ),
% 3.07/3.45 epsilon_transitive( skol17 ) }.
% 3.07/3.45 parent0[1]: (21659) {G1,W6,D3,L2,V0,M2} { epsilon_transitive( skol17 ), !
% 3.07/3.45 in( skol1( skol17 ), skol17 ) }.
% 3.07/3.45 parent1[0]: (11) {G0,W6,D3,L2,V1,M2} I { in( skol1( X ), X ),
% 3.07/3.45 epsilon_transitive( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 X := skol17
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 factor: (21661) {G1,W2,D2,L1,V0,M1} { epsilon_transitive( skol17 ) }.
% 3.07/3.45 parent0[0, 1]: (21660) {G1,W4,D2,L2,V0,M2} { epsilon_transitive( skol17 )
% 3.07/3.45 , epsilon_transitive( skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (507) {G1,W2,D2,L1,V0,M1} R(75,12);r(11) { epsilon_transitive
% 3.07/3.45 ( skol17 ) }.
% 3.07/3.45 parent0: (21661) {G1,W2,D2,L1,V0,M1} { epsilon_transitive( skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21662) {G2,W3,D3,L1,V0,M1} { epsilon_transitive( skol2(
% 3.07/3.45 skol17 ) ) }.
% 3.07/3.45 parent0[1]: (207) {G3,W5,D3,L2,V0,M2} R(204,87) { epsilon_transitive( skol2
% 3.07/3.45 ( skol17 ) ), ! epsilon_transitive( skol17 ) }.
% 3.07/3.45 parent1[0]: (507) {G1,W2,D2,L1,V0,M1} R(75,12);r(11) { epsilon_transitive(
% 3.07/3.45 skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (510) {G4,W3,D3,L1,V0,M1} R(507,207) { epsilon_transitive(
% 3.07/3.45 skol2( skol17 ) ) }.
% 3.07/3.45 parent0: (21662) {G2,W3,D3,L1,V0,M1} { epsilon_transitive( skol2( skol17 )
% 3.07/3.45 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21663) {G2,W2,D2,L1,V0,M1} { ! epsilon_connected( skol17 )
% 3.07/3.45 }.
% 3.07/3.45 parent0[0]: (87) {G1,W4,D2,L2,V0,M2} R(6,76) { ! epsilon_transitive( skol17
% 3.07/3.45 ), ! epsilon_connected( skol17 ) }.
% 3.07/3.45 parent1[0]: (507) {G1,W2,D2,L1,V0,M1} R(75,12);r(11) { epsilon_transitive(
% 3.07/3.45 skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (511) {G2,W2,D2,L1,V0,M1} R(507,87) { ! epsilon_connected(
% 3.07/3.45 skol17 ) }.
% 3.07/3.45 parent0: (21663) {G2,W2,D2,L1,V0,M1} { ! epsilon_connected( skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21664) {G3,W3,D3,L1,V0,M1} { epsilon_connected( skol2( skol17
% 3.07/3.45 ) ) }.
% 3.07/3.45 parent0[0]: (511) {G2,W2,D2,L1,V0,M1} R(507,87) { ! epsilon_connected(
% 3.07/3.45 skol17 ) }.
% 3.07/3.45 parent1[1]: (195) {G2,W5,D3,L2,V0,M2} R(191,14) { epsilon_connected( skol2
% 3.07/3.45 ( skol17 ) ), epsilon_connected( skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (514) {G3,W3,D3,L1,V0,M1} R(511,195) { epsilon_connected(
% 3.07/3.45 skol2( skol17 ) ) }.
% 3.07/3.45 parent0: (21664) {G3,W3,D3,L1,V0,M1} { epsilon_connected( skol2( skol17 )
% 3.07/3.45 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21665) {G1,W6,D3,L2,V0,M2} { ! epsilon_transitive( skol2(
% 3.07/3.45 skol17 ) ), ordinal( skol2( skol17 ) ) }.
% 3.07/3.45 parent0[1]: (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), !
% 3.07/3.45 epsilon_connected( X ), ordinal( X ) }.
% 3.07/3.45 parent1[0]: (514) {G3,W3,D3,L1,V0,M1} R(511,195) { epsilon_connected( skol2
% 3.07/3.45 ( skol17 ) ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := skol2( skol17 )
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21666) {G2,W3,D3,L1,V0,M1} { ordinal( skol2( skol17 ) ) }.
% 3.07/3.45 parent0[0]: (21665) {G1,W6,D3,L2,V0,M2} { ! epsilon_transitive( skol2(
% 3.07/3.45 skol17 ) ), ordinal( skol2( skol17 ) ) }.
% 3.07/3.45 parent1[0]: (510) {G4,W3,D3,L1,V0,M1} R(507,207) { epsilon_transitive(
% 3.07/3.45 skol2( skol17 ) ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (520) {G5,W3,D3,L1,V0,M1} R(514,6);r(510) { ordinal( skol2(
% 3.07/3.45 skol17 ) ) }.
% 3.07/3.45 parent0: (21666) {G2,W3,D3,L1,V0,M1} { ordinal( skol2( skol17 ) ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21667) {G1,W5,D3,L2,V0,M2} { epsilon_transitive( skol18(
% 3.07/3.45 skol17 ) ), epsilon_connected( skol17 ) }.
% 3.07/3.45 parent0[1]: (203) {G2,W6,D2,L2,V2,M2} R(192,16) { epsilon_transitive( X ),
% 3.07/3.45 ! alpha2( skol17, Y, X ) }.
% 3.07/3.45 parent1[0]: (15) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol18( X )
% 3.07/3.45 ), epsilon_connected( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := skol18( skol17 )
% 3.07/3.45 Y := skol2( skol17 )
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 X := skol17
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21668) {G2,W3,D3,L1,V0,M1} { epsilon_transitive( skol18(
% 3.07/3.45 skol17 ) ) }.
% 3.07/3.45 parent0[0]: (511) {G2,W2,D2,L1,V0,M1} R(507,87) { ! epsilon_connected(
% 3.07/3.45 skol17 ) }.
% 3.07/3.45 parent1[1]: (21667) {G1,W5,D3,L2,V0,M2} { epsilon_transitive( skol18(
% 3.07/3.45 skol17 ) ), epsilon_connected( skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (910) {G3,W3,D3,L1,V0,M1} R(203,15);r(511) {
% 3.07/3.45 epsilon_transitive( skol18( skol17 ) ) }.
% 3.07/3.45 parent0: (21668) {G2,W3,D3,L1,V0,M1} { epsilon_transitive( skol18( skol17
% 3.07/3.45 ) ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21669) {G1,W5,D3,L2,V0,M2} { epsilon_connected( skol18(
% 3.07/3.45 skol17 ) ), epsilon_connected( skol17 ) }.
% 3.07/3.45 parent0[1]: (194) {G2,W6,D2,L2,V2,M2} R(191,16) { epsilon_connected( X ), !
% 3.07/3.45 alpha2( skol17, Y, X ) }.
% 3.07/3.45 parent1[0]: (15) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol18( X )
% 3.07/3.45 ), epsilon_connected( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := skol18( skol17 )
% 3.07/3.45 Y := skol2( skol17 )
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 X := skol17
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21670) {G2,W3,D3,L1,V0,M1} { epsilon_connected( skol18(
% 3.07/3.45 skol17 ) ) }.
% 3.07/3.45 parent0[0]: (511) {G2,W2,D2,L1,V0,M1} R(507,87) { ! epsilon_connected(
% 3.07/3.45 skol17 ) }.
% 3.07/3.45 parent1[1]: (21669) {G1,W5,D3,L2,V0,M2} { epsilon_connected( skol18(
% 3.07/3.45 skol17 ) ), epsilon_connected( skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (931) {G3,W3,D3,L1,V0,M1} R(194,15);r(511) { epsilon_connected
% 3.07/3.45 ( skol18( skol17 ) ) }.
% 3.07/3.45 parent0: (21670) {G2,W3,D3,L1,V0,M1} { epsilon_connected( skol18( skol17 )
% 3.07/3.45 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21671) {G1,W6,D3,L2,V0,M2} { ! epsilon_transitive( skol18(
% 3.07/3.45 skol17 ) ), ordinal( skol18( skol17 ) ) }.
% 3.07/3.45 parent0[1]: (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), !
% 3.07/3.45 epsilon_connected( X ), ordinal( X ) }.
% 3.07/3.45 parent1[0]: (931) {G3,W3,D3,L1,V0,M1} R(194,15);r(511) { epsilon_connected
% 3.07/3.45 ( skol18( skol17 ) ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := skol18( skol17 )
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21672) {G2,W3,D3,L1,V0,M1} { ordinal( skol18( skol17 ) ) }.
% 3.07/3.45 parent0[0]: (21671) {G1,W6,D3,L2,V0,M2} { ! epsilon_transitive( skol18(
% 3.07/3.45 skol17 ) ), ordinal( skol18( skol17 ) ) }.
% 3.07/3.45 parent1[0]: (910) {G3,W3,D3,L1,V0,M1} R(203,15);r(511) { epsilon_transitive
% 3.07/3.45 ( skol18( skol17 ) ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (935) {G4,W3,D3,L1,V0,M1} R(931,6);r(910) { ordinal( skol18(
% 3.07/3.45 skol17 ) ) }.
% 3.07/3.45 parent0: (21672) {G2,W3,D3,L1,V0,M1} { ordinal( skol18( skol17 ) ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21673) {G2,W5,D3,L1,V0,M1} { alpha1( skol2( skol17 ), skol18
% 3.07/3.45 ( skol17 ) ) }.
% 3.07/3.45 parent0[0]: (511) {G2,W2,D2,L1,V0,M1} R(507,87) { ! epsilon_connected(
% 3.07/3.45 skol17 ) }.
% 3.07/3.45 parent1[1]: (152) {G1,W7,D3,L2,V1,M2} R(17,15) { alpha1( skol2( X ), skol18
% 3.07/3.45 ( X ) ), epsilon_connected( X ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 X := skol17
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (1721) {G3,W5,D3,L1,V0,M1} R(152,511) { alpha1( skol2( skol17
% 3.07/3.45 ), skol18( skol17 ) ) }.
% 3.07/3.45 parent0: (21673) {G2,W5,D3,L1,V0,M1} { alpha1( skol2( skol17 ), skol18(
% 3.07/3.45 skol17 ) ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45 permutation0:
% 3.07/3.45 0 ==> 0
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 eqswap: (21674) {G1,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( X, Y ) }.
% 3.07/3.45 parent0[0]: (198) {G1,W6,D2,L2,V2,M2} R(22,20) { ! X = Y, ! alpha1( X, Y )
% 3.07/3.45 }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := X
% 3.07/3.45 Y := Y
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 resolution: (21675) {G2,W5,D3,L1,V0,M1} { ! skol18( skol17 ) = skol2(
% 3.07/3.45 skol17 ) }.
% 3.07/3.45 parent0[1]: (21674) {G1,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( X, Y ) }.
% 3.07/3.45 parent1[0]: (1721) {G3,W5,D3,L1,V0,M1} R(152,511) { alpha1( skol2( skol17 )
% 3.07/3.45 , skol18( skol17 ) ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 X := skol2( skol17 )
% 3.07/3.45 Y := skol18( skol17 )
% 3.07/3.45 end
% 3.07/3.45 substitution1:
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 eqswap: (21676) {G2,W5,D3,L1,V0,M1} { ! skol2( skol17 ) = skol18( skol17 )
% 3.07/3.45 }.
% 3.07/3.45 parent0[0]: (21675) {G2,W5,D3,L1,V0,M1} { ! skol18( skol17 ) = skol2(
% 3.07/3.45 skol17 ) }.
% 3.07/3.45 substitution0:
% 3.07/3.45 end
% 3.07/3.45
% 3.07/3.45 subsumption: (1725) {G4,W5,D3,L1,V0,M1} R(1721,198) { ! skol2( skol17 ) ==>
% 3.07/3.45 skol18( skol17 ) }.
% 3.07/3.46 parent0: (21676) {G2,W5,D3,L1,V0,M1} { ! skol2( skol17 ) = skol18( skol17
% 3.07/3.46 ) }.
% 3.07/3.46 substitution0:
% 3.07/3.46 end
% 3.07/3.46 permutation0:
% 3.07/3.46 0 ==> 0
% 3.07/3.46 end
% 3.07/3.46
% 3.07/3.46 resolution: (21677) {G2,W5,D3,L1,V0,M1} { ! in( skol18( skol17 ), skol2(
% 3.07/3.46 skol17 ) ) }.
% 3.07/3.46 parent0[1]: (211) {G1,W6,D2,L2,V2,M2} R(23,20) { ! in( X, Y ), ! alpha1( Y
% 3.07/3.46 , X ) }.
% 3.07/3.46 parent1[0]: (1721) {G3,W5,D3,L1,V0,M1} R(152,511) { alpha1( skol2( skol17 )
% 3.07/3.46 , skol18( skol17 ) ) }.
% 3.07/3.46 substitution0:
% 3.07/3.46 X := skol18( skol17 )
% 3.07/3.46 Y := skol2( skol17 )
% 3.07/3.46 end
% 3.07/3.46 substitution1:
% 3.07/3.46 end
% 3.07/3.46
% 3.07/3.46 subsumption: (1726) {G4,W5,D3,L1,V0,M1} R(1721,211) { ! in( skol18( skol17
% 3.07/3.46 ), skol2( skol17 ) ) }.
% 3.07/3.46 parent0: (21677) {G2,W5,D3,L1,V0,M1} { ! in( skol18( skol17 ), skol2(
% 3.07/3.46 skol17 ) ) }.
% 3.07/3.46 substitution0:
% 3.07/3.46 end
% 3.07/3.46 permutation0:
% 3.07/3.46 0 ==> 0
% 3.07/3.46 end
% 3.07/3.46
% 3.07/3.46 resolution: (21678) {G1,W5,D3,L1,V0,M1} { ! in( skol2( skol17 ), skol18(
% 3.07/3.46 skol17 ) ) }.
% 3.07/3.46 parent0[0]: (19) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! in( X, Y ) }.
% 3.07/3.46 parent1[0]: (1721) {G3,W5,D3,L1,V0,M1} R(152,511) { alpha1( skol2( skol17 )
% 3.07/3.46 , skol18( skol17 ) ) }.
% 3.07/3.46 substitution0:
% 3.07/3.46 X := skol2( skol17 )
% 3.07/3.46 Y := skol18( skol17 )
% 3.07/3.46 end
% 3.07/3.46 substitution1:
% 3.07/3.46 end
% 3.07/3.46
% 3.07/3.46 subsumption: (1728) {G4,W5,D3,L1,V0,M1} R(1721,19) { ! in( skol2( skol17 )
% 3.07/3.46 , skol18( skol17 ) ) }.
% 3.07/3.46 parent0: (21678) {G1,W5,D3,L1,V0,M1} { ! in( skol2( skol17 ), skol18(
% 3.07/3.46 skol17 ) ) }.
% 3.07/3.46 substitution0:
% 3.07/3.46 end
% 3.07/3.46 permutation0:
% 3.07/3.46 0 ==> 0
% 3.07/3.46 end
% 3.07/3.46
% 3.07/3.46 resolution: (21679) {G1,W16,D3,L4,V0,M4} { ! ordinal( skol2( skol17 ) ), !
% 3.07/3.46 ordinal( skol18( skol17 ) ), skol2( skol17 ) = skol18( skol17 ), in(
% 3.07/3.46 skol18( skol17 ), skol2( skol17 ) ) }.
% 3.07/3.46 parent0[0]: (1728) {G4,W5,D3,L1,V0,M1} R(1721,19) { ! in( skol2( skol17 ),
% 3.07/3.46 skol18( skol17 ) ) }.
% 3.07/3.46 parent1[2]: (72) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ),
% 3.07/3.46 in( X, Y ), X = Y, in( Y, X ) }.
% 3.07/3.46 substitution0:
% 3.07/3.46 end
% 3.07/3.46 substitution1:
% 3.07/3.46 X := skol2( skol17 )
% 3.07/3.46 Y := skol18( skol17 )
% 3.07/3.46 end
% 3.07/3.46
% 3.07/3.46 resolution: (21681) {G2,W13,D3,L3,V0,M3} { ! ordinal( skol18( skol17 ) ),
% 3.07/3.46 skol2( skol17 ) = skol18( skol17 ), in( skol18( skol17 ), skol2( skol17 )
% 3.07/3.46 ) }.
% 3.07/3.46 parent0[0]: (21679) {G1,W16,D3,L4,V0,M4} { ! ordinal( skol2( skol17 ) ), !
% 3.07/3.46 ordinal( skol18( skol17 ) ), skol2( skol17 ) = skol18( skol17 ), in(
% 3.07/3.46 skol18( skol17 ), skol2( skol17 ) ) }.
% 3.07/3.46 parent1[0]: (520) {G5,W3,D3,L1,V0,M1} R(514,6);r(510) { ordinal( skol2(
% 3.07/3.46 skol17 ) ) }.
% 3.07/3.46 substitution0:
% 3.07/3.46 end
% 3.07/3.46 substitution1:
% 3.07/3.46 end
% 3.07/3.46
% 3.07/3.46 subsumption: (1781) {G6,W13,D3,L3,V0,M3} R(1728,72);r(520) { ! ordinal(
% 3.07/3.46 skol18( skol17 ) ), skol2( skol17 ) ==> skol18( skol17 ), in( skol18(
% 3.07/3.46 skol17 ), skol2( skol17 ) ) }.
% 3.07/3.46 parent0: (21681) {G2,W13,D3,L3,V0,M3} { ! ordinal( skol18( skol17 ) ),
% 3.07/3.46 skol2( skol17 ) = skol18( skol17 ), in( skol18( skol17 ), skol2( skol17 )
% 3.07/3.46 ) }.
% 3.07/3.46 substitution0:
% 3.07/3.46 end
% 3.07/3.46 permutation0:
% 3.07/3.46 0 ==> 0
% 3.07/3.46 1 ==> 1
% 3.07/3.46 2 ==> 2
% 3.07/3.46 end
% 3.07/3.46
% 3.07/3.46 resolution: (21685) {G5,W10,D3,L2,V0,M2} { skol2( skol17 ) ==> skol18(
% 3.07/3.46 skol17 ), in( skol18( skol17 ), skol2( skol17 ) ) }.
% 3.07/3.46 parent0[0]: (1781) {G6,W13,D3,L3,V0,M3} R(1728,72);r(520) { ! ordinal(
% 3.07/3.46 skol18( skol17 ) ), skol2( skol17 ) ==> skol18( skol17 ), in( skol18(
% 3.07/3.46 skol17 ), skol2( skol17 ) ) }.
% 3.07/3.46 parent1[0]: (935) {G4,W3,D3,L1,V0,M1} R(931,6);r(910) { ordinal( skol18(
% 3.07/3.46 skol17 ) ) }.
% 3.07/3.46 substitution0:
% 3.07/3.46 end
% 3.07/3.46 substitution1:
% 3.07/3.46 end
% 3.07/3.46
% 3.07/3.46 resolution: (21686) {G5,W5,D3,L1,V0,M1} { in( skol18( skol17 ), skol2(
% 3.07/3.46 skol17 ) ) }.
% 3.07/3.46 parent0[0]: (1725) {G4,W5,D3,L1,V0,M1} R(1721,198) { ! skol2( skol17 ) ==>
% 3.07/3.46 skol18( skol17 ) }.
% 3.07/3.46 parent1[0]: (21685) {G5,W10,D3,L2,V0,M2} { skol2( skol17 ) ==> skol18(
% 3.07/3.46 skol17 ), in( skol18( skol17 ), skol2( skol17 ) ) }.
% 3.07/3.46 substitution0:
% 3.07/3.46 end
% 3.07/3.46 substitution1:
% 3.07/3.46 end
% 3.07/3.46
% 3.07/3.46 resolution: (21687) {G5,W0,D0,L0,V0,M0} { }.
% 3.07/3.46 parent0[0]: (1726) {G4,W5,D3,L1,V0,M1} R(1721,211) { ! in( skol18( skol17 )
% 3.07/3.46 , skol2( skol17 ) ) }.
% 3.07/3.46 parent1[0]: (21686) {G5,W5,D3,L1,V0,M1} { in( skol18( skol17 ), skol2(
% 3.07/3.46 skol17 ) ) }.
% 3.07/3.46 substitution0:
% 3.07/3.46 end
% 3.07/3.46 substitution1:
% 3.07/3.46 end
% 3.07/3.46
% 3.07/3.46 subsumption: (21510) {G7,W0,D0,L0,V0,M0} S(1781);r(935);r(1725);r(1726) {
% 3.07/3.46 }.
% 3.07/3.46 parent0: (21687) {G5,W0,D0,L0,V0,M0} { }.
% 3.07/3.46 substitution0:
% 3.07/3.46 end
% 3.07/3.46 permutation0:
% 3.07/3.46 end
% 3.07/3.46
% 3.07/3.46 Proof check complete!
% 3.07/3.46
% 3.07/3.46 Memory use:
% 3.07/3.46
% 3.07/3.46 space for terms: 277076
% 3.07/3.46 space for clauses: 813114
% 3.07/3.46
% 3.07/3.46
% 3.07/3.46 clauses generated: 77432
% 3.07/3.46 clauses kept: 21511
% 3.07/3.46 clauses selected: 1048
% 3.07/3.46 clauses deleted: 1811
% 3.07/3.46 clauses inuse deleted: 53
% 3.07/3.46
% 3.07/3.46 subsentry: 331901
% 3.07/3.46 literals s-matched: 235964
% 3.07/3.46 literals matched: 229985
% 3.07/3.46 full subsumption: 32721
% 3.07/3.46
% 3.07/3.46 checksum: 647675652
% 3.07/3.46
% 3.07/3.46
% 3.07/3.46 Bliksem ended
%------------------------------------------------------------------------------