%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU234+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 3.13s 3.49s
% Output : Refutation 3.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU234+1 : TPTP v8.1.0. Released v3.3.0.
% 0.16/0.15 % Command : bliksem %s
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % DateTime : Sun Jun 19 19:03:44 EDT 2022
% 0.16/0.37 % CPUTime :
% 1.50/1.84 *** allocated 10000 integers for termspace/termends
% 1.50/1.84 *** allocated 10000 integers for clauses
% 1.50/1.84 *** allocated 10000 integers for justifications
% 1.50/1.84 Bliksem 1.12
% 1.50/1.84
% 1.50/1.84
% 1.50/1.84 Automatic Strategy Selection
% 1.50/1.84
% 1.50/1.84
% 1.50/1.84 Clauses:
% 1.50/1.84
% 1.50/1.84 { ! in( X, Y ), ! in( Y, X ) }.
% 1.50/1.84 { ! empty( X ), function( X ) }.
% 1.50/1.84 { ! ordinal( X ), epsilon_transitive( X ) }.
% 1.50/1.84 { ! ordinal( X ), epsilon_connected( X ) }.
% 1.50/1.84 { ! empty( X ), relation( X ) }.
% 1.50/1.84 { ! relation( X ), ! empty( X ), ! function( X ), relation( X ) }.
% 1.50/1.84 { ! relation( X ), ! empty( X ), ! function( X ), function( X ) }.
% 1.50/1.84 { ! relation( X ), ! empty( X ), ! function( X ), one_to_one( X ) }.
% 1.50/1.84 { ! epsilon_transitive( X ), ! epsilon_connected( X ), ordinal( X ) }.
% 1.50/1.84 { ! empty( X ), epsilon_transitive( X ) }.
% 1.50/1.84 { ! empty( X ), epsilon_connected( X ) }.
% 1.50/1.84 { ! empty( X ), ordinal( X ) }.
% 1.50/1.84 { ! epsilon_transitive( X ), ! in( Y, X ), subset( Y, X ) }.
% 1.50/1.84 { in( skol1( X ), X ), epsilon_transitive( X ) }.
% 1.50/1.84 { ! subset( skol1( X ), X ), epsilon_transitive( X ) }.
% 1.50/1.84 { ! epsilon_connected( X ), ! in( Y, X ), ! alpha2( X, Y, Z ) }.
% 1.50/1.84 { in( skol2( X ), X ), epsilon_connected( X ) }.
% 1.50/1.84 { alpha2( X, skol2( X ), skol17( X ) ), epsilon_connected( X ) }.
% 1.50/1.84 { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 1.50/1.84 { ! alpha2( X, Y, Z ), alpha1( Y, Z ) }.
% 1.50/1.84 { ! in( Z, X ), ! alpha1( Y, Z ), alpha2( X, Y, Z ) }.
% 1.50/1.84 { ! alpha1( X, Y ), ! in( X, Y ) }.
% 1.50/1.84 { ! alpha1( X, Y ), alpha3( X, Y ) }.
% 1.50/1.84 { in( X, Y ), ! alpha3( X, Y ), alpha1( X, Y ) }.
% 1.50/1.84 { ! alpha3( X, Y ), ! X = Y }.
% 1.50/1.84 { ! alpha3( X, Y ), ! in( Y, X ) }.
% 1.50/1.84 { X = Y, in( Y, X ), alpha3( X, Y ) }.
% 1.50/1.84 { ! ordinal( X ), epsilon_transitive( X ) }.
% 1.50/1.84 { ! ordinal( X ), epsilon_connected( X ) }.
% 1.50/1.84 { ! epsilon_transitive( X ), ! epsilon_connected( X ), ordinal( X ) }.
% 1.50/1.84 { && }.
% 1.50/1.84 { && }.
% 1.50/1.84 { && }.
% 1.50/1.84 { element( skol3( X ), X ) }.
% 1.50/1.84 { empty( empty_set ) }.
% 1.50/1.84 { relation( empty_set ) }.
% 1.50/1.84 { relation_empty_yielding( empty_set ) }.
% 1.50/1.84 { empty( empty_set ) }.
% 1.50/1.84 { relation( empty_set ) }.
% 1.50/1.84 { relation_empty_yielding( empty_set ) }.
% 1.50/1.84 { function( empty_set ) }.
% 1.50/1.84 { one_to_one( empty_set ) }.
% 1.50/1.84 { empty( empty_set ) }.
% 1.50/1.84 { epsilon_transitive( empty_set ) }.
% 1.50/1.84 { epsilon_connected( empty_set ) }.
% 1.50/1.84 { ordinal( empty_set ) }.
% 1.50/1.84 { empty( empty_set ) }.
% 1.50/1.84 { relation( empty_set ) }.
% 1.50/1.84 { relation( skol4 ) }.
% 1.50/1.84 { function( skol4 ) }.
% 1.50/1.84 { epsilon_transitive( skol5 ) }.
% 1.50/1.84 { epsilon_connected( skol5 ) }.
% 1.50/1.84 { ordinal( skol5 ) }.
% 1.50/1.84 { empty( skol6 ) }.
% 1.50/1.84 { relation( skol6 ) }.
% 1.50/1.84 { empty( skol7 ) }.
% 1.50/1.84 { relation( skol8 ) }.
% 1.50/1.84 { empty( skol8 ) }.
% 1.50/1.84 { function( skol8 ) }.
% 1.50/1.84 { relation( skol9 ) }.
% 1.50/1.84 { function( skol9 ) }.
% 1.50/1.84 { one_to_one( skol9 ) }.
% 1.50/1.84 { empty( skol9 ) }.
% 1.50/1.84 { epsilon_transitive( skol9 ) }.
% 1.50/1.84 { epsilon_connected( skol9 ) }.
% 1.50/1.84 { ordinal( skol9 ) }.
% 1.50/1.84 { ! empty( skol10 ) }.
% 1.50/1.84 { relation( skol10 ) }.
% 1.50/1.84 { ! empty( skol11 ) }.
% 1.50/1.84 { relation( skol12 ) }.
% 1.50/1.84 { function( skol12 ) }.
% 1.50/1.84 { one_to_one( skol12 ) }.
% 1.50/1.84 { ! empty( skol13 ) }.
% 1.50/1.84 { epsilon_transitive( skol13 ) }.
% 1.50/1.84 { epsilon_connected( skol13 ) }.
% 1.50/1.84 { ordinal( skol13 ) }.
% 1.50/1.84 { relation( skol14 ) }.
% 1.50/1.84 { relation_empty_yielding( skol14 ) }.
% 1.50/1.84 { relation( skol15 ) }.
% 1.50/1.84 { relation_empty_yielding( skol15 ) }.
% 1.50/1.84 { function( skol15 ) }.
% 1.50/1.84 { subset( X, X ) }.
% 1.50/1.84 { ! in( X, Y ), element( X, Y ) }.
% 1.50/1.84 { ! ordinal( X ), ! ordinal( Y ), in( X, Y ), X = Y, in( Y, X ) }.
% 1.50/1.84 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 1.50/1.84 { ! in( X, skol16 ), ordinal( X ) }.
% 1.50/1.84 { ! in( X, skol16 ), subset( X, skol16 ) }.
% 1.50/1.84 { ! ordinal( skol16 ) }.
% 1.50/1.84 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 1.50/1.84 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 1.50/1.84 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 1.50/1.84 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 1.50/1.84 { ! empty( X ), X = empty_set }.
% 1.50/1.84 { ! in( X, Y ), ! empty( Y ) }.
% 1.50/1.84 { ! empty( X ), X = Y, ! empty( Y ) }.
% 1.50/1.84
% 1.50/1.84 percentage equality = 0.037313, percentage horn = 0.914634
% 1.50/1.84 This is a problem with some equality
% 1.50/1.84
% 1.50/1.84
% 1.50/1.84
% 1.50/1.84 Options Used:
% 1.50/1.84
% 1.50/1.84 useres = 1
% 1.50/1.84 useparamod = 1
% 1.50/1.84 useeqrefl = 1
% 1.50/1.84 useeqfact = 1
% 1.50/1.84 usefactor = 1
% 1.50/1.84 usesimpsplitting = 0
% 1.50/1.84 usesimpdemod = 5
% 1.50/1.84 usesimpres = 3
% 1.50/1.84
% 1.50/1.84 resimpinuse = 1000
% 1.50/1.84 resimpclauses = 20000
% 1.50/1.84 substype = eqrewr
% 1.50/1.84 backwardsubs = 1
% 1.50/1.84 selectoldest = 5
% 1.50/1.84
% 1.50/1.84 litorderings [0] = split
% 1.50/1.84 litorderings [1] = extend the termordering, first sorting on arguments
% 1.50/1.84
% 1.50/1.84 termordering = kbo
% 3.13/3.49
% 3.13/3.49 litapriori = 0
% 3.13/3.49 termapriori = 1
% 3.13/3.49 litaposteriori = 0
% 3.13/3.49 termaposteriori = 0
% 3.13/3.49 demodaposteriori = 0
% 3.13/3.49 ordereqreflfact = 0
% 3.13/3.49
% 3.13/3.49 litselect = negord
% 3.13/3.49
% 3.13/3.49 maxweight = 15
% 3.13/3.49 maxdepth = 30000
% 3.13/3.49 maxlength = 115
% 3.13/3.49 maxnrvars = 195
% 3.13/3.49 excuselevel = 1
% 3.13/3.49 increasemaxweight = 1
% 3.13/3.49
% 3.13/3.49 maxselected = 10000000
% 3.13/3.49 maxnrclauses = 10000000
% 3.13/3.49
% 3.13/3.49 showgenerated = 0
% 3.13/3.49 showkept = 0
% 3.13/3.49 showselected = 0
% 3.13/3.49 showdeleted = 0
% 3.13/3.49 showresimp = 1
% 3.13/3.49 showstatus = 2000
% 3.13/3.49
% 3.13/3.49 prologoutput = 0
% 3.13/3.49 nrgoals = 5000000
% 3.13/3.49 totalproof = 1
% 3.13/3.49
% 3.13/3.49 Symbols occurring in the translation:
% 3.13/3.49
% 3.13/3.49 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.13/3.49 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 3.13/3.49 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 3.13/3.49 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 3.13/3.49 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.13/3.49 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.13/3.49 in [37, 2] (w:1, o:65, a:1, s:1, b:0),
% 3.13/3.49 empty [38, 1] (w:1, o:28, a:1, s:1, b:0),
% 3.13/3.49 function [39, 1] (w:1, o:31, a:1, s:1, b:0),
% 3.13/3.49 ordinal [40, 1] (w:1, o:32, a:1, s:1, b:0),
% 3.13/3.49 epsilon_transitive [41, 1] (w:1, o:29, a:1, s:1, b:0),
% 3.13/3.49 epsilon_connected [42, 1] (w:1, o:30, a:1, s:1, b:0),
% 3.13/3.49 relation [43, 1] (w:1, o:33, a:1, s:1, b:0),
% 3.13/3.49 one_to_one [44, 1] (w:1, o:34, a:1, s:1, b:0),
% 3.13/3.49 subset [45, 2] (w:1, o:66, a:1, s:1, b:0),
% 3.13/3.49 element [47, 2] (w:1, o:67, a:1, s:1, b:0),
% 3.13/3.49 empty_set [48, 0] (w:1, o:9, a:1, s:1, b:0),
% 3.13/3.49 relation_empty_yielding [49, 1] (w:1, o:35, a:1, s:1, b:0),
% 3.13/3.49 powerset [50, 1] (w:1, o:36, a:1, s:1, b:0),
% 3.13/3.49 alpha1 [51, 2] (w:1, o:68, a:1, s:1, b:1),
% 3.13/3.49 alpha2 [52, 3] (w:1, o:70, a:1, s:1, b:1),
% 3.13/3.49 alpha3 [53, 2] (w:1, o:69, a:1, s:1, b:1),
% 3.13/3.49 skol1 [54, 1] (w:1, o:37, a:1, s:1, b:1),
% 3.13/3.49 skol2 [55, 1] (w:1, o:39, a:1, s:1, b:1),
% 3.13/3.49 skol3 [56, 1] (w:1, o:40, a:1, s:1, b:1),
% 3.13/3.49 skol4 [57, 0] (w:1, o:10, a:1, s:1, b:1),
% 3.13/3.49 skol5 [58, 0] (w:1, o:11, a:1, s:1, b:1),
% 3.13/3.49 skol6 [59, 0] (w:1, o:12, a:1, s:1, b:1),
% 3.13/3.49 skol7 [60, 0] (w:1, o:13, a:1, s:1, b:1),
% 3.13/3.49 skol8 [61, 0] (w:1, o:14, a:1, s:1, b:1),
% 3.13/3.49 skol9 [62, 0] (w:1, o:15, a:1, s:1, b:1),
% 3.13/3.49 skol10 [63, 0] (w:1, o:16, a:1, s:1, b:1),
% 3.13/3.49 skol11 [64, 0] (w:1, o:17, a:1, s:1, b:1),
% 3.13/3.49 skol12 [65, 0] (w:1, o:18, a:1, s:1, b:1),
% 3.13/3.49 skol13 [66, 0] (w:1, o:19, a:1, s:1, b:1),
% 3.13/3.49 skol14 [67, 0] (w:1, o:20, a:1, s:1, b:1),
% 3.13/3.49 skol15 [68, 0] (w:1, o:21, a:1, s:1, b:1),
% 3.13/3.49 skol16 [69, 0] (w:1, o:22, a:1, s:1, b:1),
% 3.13/3.49 skol17 [70, 1] (w:1, o:38, a:1, s:1, b:1).
% 3.13/3.49
% 3.13/3.49
% 3.13/3.49 Starting Search:
% 3.13/3.49
% 3.13/3.49 *** allocated 15000 integers for clauses
% 3.13/3.49 *** allocated 22500 integers for clauses
% 3.13/3.49 *** allocated 33750 integers for clauses
% 3.13/3.49 *** allocated 50625 integers for clauses
% 3.13/3.49 *** allocated 15000 integers for termspace/termends
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49 *** allocated 75937 integers for clauses
% 3.13/3.49 *** allocated 22500 integers for termspace/termends
% 3.13/3.49 *** allocated 113905 integers for clauses
% 3.13/3.49
% 3.13/3.49 Intermediate Status:
% 3.13/3.49 Generated: 6481
% 3.13/3.49 Kept: 2013
% 3.13/3.49 Inuse: 366
% 3.13/3.49 Deleted: 68
% 3.13/3.49 Deletedinuse: 45
% 3.13/3.49
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49 *** allocated 33750 integers for termspace/termends
% 3.13/3.49 *** allocated 170857 integers for clauses
% 3.13/3.49 *** allocated 50625 integers for termspace/termends
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49
% 3.13/3.49 Intermediate Status:
% 3.13/3.49 Generated: 15619
% 3.13/3.49 Kept: 4026
% 3.13/3.49 Inuse: 555
% 3.13/3.49 Deleted: 89
% 3.13/3.49 Deletedinuse: 45
% 3.13/3.49
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49 *** allocated 256285 integers for clauses
% 3.13/3.49 *** allocated 75937 integers for termspace/termends
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49 *** allocated 113905 integers for termspace/termends
% 3.13/3.49 *** allocated 384427 integers for clauses
% 3.13/3.49
% 3.13/3.49 Intermediate Status:
% 3.13/3.49 Generated: 22371
% 3.13/3.49 Kept: 6490
% 3.13/3.49 Inuse: 604
% 3.13/3.49 Deleted: 97
% 3.13/3.49 Deletedinuse: 45
% 3.13/3.49
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49
% 3.13/3.49 Intermediate Status:
% 3.13/3.49 Generated: 28718
% 3.13/3.49 Kept: 8702
% 3.13/3.49 Inuse: 624
% 3.13/3.49 Deleted: 103
% 3.13/3.49 Deletedinuse: 51
% 3.13/3.49
% 3.13/3.49 *** allocated 170857 integers for termspace/termends
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49 *** allocated 576640 integers for clauses
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49
% 3.13/3.49 Intermediate Status:
% 3.13/3.49 Generated: 36209
% 3.13/3.49 Kept: 10725
% 3.13/3.49 Inuse: 695
% 3.13/3.49 Deleted: 128
% 3.13/3.49 Deletedinuse: 51
% 3.13/3.49
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49
% 3.13/3.49 Intermediate Status:
% 3.13/3.49 Generated: 45695
% 3.13/3.49 Kept: 12789
% 3.13/3.49 Inuse: 778
% 3.13/3.49 Deleted: 154
% 3.13/3.49 Deletedinuse: 56
% 3.13/3.49
% 3.13/3.49 *** allocated 256285 integers for termspace/termends
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49
% 3.13/3.49 Intermediate Status:
% 3.13/3.49 Generated: 55545
% 3.13/3.49 Kept: 14807
% 3.13/3.49 Inuse: 875
% 3.13/3.49 Deleted: 163
% 3.13/3.49 Deletedinuse: 56
% 3.13/3.49
% 3.13/3.49 *** allocated 864960 integers for clauses
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49
% 3.13/3.49 Intermediate Status:
% 3.13/3.49 Generated: 63494
% 3.13/3.49 Kept: 16814
% 3.13/3.49 Inuse: 944
% 3.13/3.49 Deleted: 176
% 3.13/3.49 Deletedinuse: 56
% 3.13/3.49
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49
% 3.13/3.49 Intermediate Status:
% 3.13/3.49 Generated: 70817
% 3.13/3.49 Kept: 18816
% 3.13/3.49 Inuse: 1020
% 3.13/3.49 Deleted: 177
% 3.13/3.49 Deletedinuse: 56
% 3.13/3.49
% 3.13/3.49 Resimplifying inuse:
% 3.13/3.49 Done
% 3.13/3.49
% 3.13/3.49 *** allocated 384427 integers for termspace/termends
% 3.13/3.49 Resimplifying clauses:
% 3.13/3.49
% 3.13/3.49 Bliksems!, er is een bewijs:
% 3.13/3.49 % SZS status Theorem
% 3.13/3.49 % SZS output start Refutation
% 3.13/3.49
% 3.13/3.49 (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive( X ) }.
% 3.13/3.49 (3) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_connected( X ) }.
% 3.13/3.49 (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), ! epsilon_connected
% 3.13/3.49 ( X ), ordinal( X ) }.
% 3.13/3.49 (11) {G0,W6,D3,L2,V1,M2} I { in( skol1( X ), X ), epsilon_transitive( X )
% 3.13/3.49 }.
% 3.13/3.49 (12) {G0,W6,D3,L2,V1,M2} I { ! subset( skol1( X ), X ), epsilon_transitive
% 3.13/3.49 ( X ) }.
% 3.13/3.49 (14) {G0,W6,D3,L2,V1,M2} I { in( skol2( X ), X ), epsilon_connected( X )
% 3.13/3.49 }.
% 3.13/3.49 (15) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol17( X ) ),
% 3.13/3.49 epsilon_connected( X ) }.
% 3.13/3.49 (16) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 3.13/3.49 (17) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), alpha1( Y, Z ) }.
% 3.13/3.49 (19) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! in( X, Y ) }.
% 3.13/3.49 (20) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y ) }.
% 3.13/3.49 (22) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! X = Y }.
% 3.13/3.49 (23) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! in( Y, X ) }.
% 3.13/3.49 (70) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ), in( X, Y ), X
% 3.13/3.49 = Y, in( Y, X ) }.
% 3.13/3.49 (72) {G0,W5,D2,L2,V1,M2} I { ! in( X, skol16 ), ordinal( X ) }.
% 3.13/3.49 (73) {G0,W6,D2,L2,V1,M2} I { ! in( X, skol16 ), subset( X, skol16 ) }.
% 3.13/3.49 (74) {G0,W2,D2,L1,V0,M1} I { ! ordinal( skol16 ) }.
% 3.13/3.49 (87) {G1,W4,D2,L2,V0,M2} R(6,74) { ! epsilon_transitive( skol16 ), !
% 3.13/3.49 epsilon_connected( skol16 ) }.
% 3.13/3.49 (153) {G1,W7,D3,L2,V1,M2} R(17,15) { alpha1( skol2( X ), skol17( X ) ),
% 3.13/3.49 epsilon_connected( X ) }.
% 3.13/3.49 (180) {G1,W5,D2,L2,V1,M2} R(72,3) { ! in( X, skol16 ), epsilon_connected( X
% 3.13/3.49 ) }.
% 3.13/3.49 (181) {G1,W5,D2,L2,V1,M2} R(72,2) { ! in( X, skol16 ), epsilon_transitive(
% 3.13/3.49 X ) }.
% 3.13/3.49 (190) {G2,W6,D2,L2,V2,M2} R(180,16) { epsilon_connected( X ), ! alpha2(
% 3.13/3.49 skol16, Y, X ) }.
% 3.13/3.49 (191) {G2,W5,D3,L2,V0,M2} R(180,14) { epsilon_connected( skol2( skol16 ) )
% 3.13/3.49 , epsilon_connected( skol16 ) }.
% 3.13/3.49 (195) {G2,W6,D2,L2,V2,M2} R(181,16) { epsilon_transitive( X ), ! alpha2(
% 3.13/3.49 skol16, Y, X ) }.
% 3.13/3.49 (196) {G2,W5,D3,L2,V0,M2} R(181,14) { epsilon_transitive( skol2( skol16 ) )
% 3.13/3.49 , epsilon_connected( skol16 ) }.
% 3.13/3.49 (199) {G3,W5,D3,L2,V0,M2} R(196,87) { epsilon_transitive( skol2( skol16 ) )
% 3.13/3.49 , ! epsilon_transitive( skol16 ) }.
% 3.13/3.49 (206) {G1,W6,D2,L2,V2,M2} R(22,20) { ! X = Y, ! alpha1( X, Y ) }.
% 3.13/3.49 (218) {G1,W6,D2,L2,V2,M2} R(23,20) { ! in( X, Y ), ! alpha1( Y, X ) }.
% 3.13/3.49 (223) {G3,W5,D3,L2,V0,M2} R(191,87) { epsilon_connected( skol2( skol16 ) )
% 3.13/3.49 , ! epsilon_transitive( skol16 ) }.
% 3.13/3.49 (229) {G4,W5,D3,L2,V0,M2} R(223,6);r(199) { ! epsilon_transitive( skol16 )
% 3.13/3.49 , ordinal( skol2( skol16 ) ) }.
% 3.13/3.49 (511) {G1,W2,D2,L1,V0,M1} R(73,12);r(11) { epsilon_transitive( skol16 ) }.
% 3.13/3.49 (514) {G5,W3,D3,L1,V0,M1} R(511,229) { ordinal( skol2( skol16 ) ) }.
% 3.13/3.49 (517) {G2,W2,D2,L1,V0,M1} R(511,87) { ! epsilon_connected( skol16 ) }.
% 3.13/3.49 (898) {G3,W3,D3,L1,V0,M1} R(195,15);r(517) { epsilon_transitive( skol17(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 (904) {G3,W3,D3,L1,V0,M1} R(190,15);r(517) { epsilon_connected( skol17(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 (908) {G4,W3,D3,L1,V0,M1} R(904,6);r(898) { ordinal( skol17( skol16 ) ) }.
% 3.13/3.49 (1723) {G3,W5,D3,L1,V0,M1} R(153,517) { alpha1( skol2( skol16 ), skol17(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 (1727) {G4,W5,D3,L1,V0,M1} R(1723,206) { ! skol2( skol16 ) ==> skol17(
% 3.13/3.49 skol16 ) }.
% 3.13/3.49 (1728) {G4,W5,D3,L1,V0,M1} R(1723,218) { ! in( skol17( skol16 ), skol2(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 (1730) {G4,W5,D3,L1,V0,M1} R(1723,19) { ! in( skol2( skol16 ), skol17(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 (1783) {G6,W13,D3,L3,V0,M3} R(1730,70);r(514) { ! ordinal( skol17( skol16 )
% 3.13/3.49 ), skol2( skol16 ) ==> skol17( skol16 ), in( skol17( skol16 ), skol2(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 (20221) {G7,W0,D0,L0,V0,M0} S(1783);r(908);r(1727);r(1728) { }.
% 3.13/3.49
% 3.13/3.49
% 3.13/3.49 % SZS output end Refutation
% 3.13/3.49 found a proof!
% 3.13/3.49
% 3.13/3.49
% 3.13/3.49 Unprocessed initial clauses:
% 3.13/3.49
% 3.13/3.49 (20223) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 3.13/3.49 (20224) {G0,W4,D2,L2,V1,M2} { ! empty( X ), function( X ) }.
% 3.13/3.49 (20225) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive( X ) }.
% 3.13/3.49 (20226) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected( X ) }.
% 3.13/3.49 (20227) {G0,W4,D2,L2,V1,M2} { ! empty( X ), relation( X ) }.
% 3.13/3.49 (20228) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 3.13/3.49 ), relation( X ) }.
% 3.13/3.49 (20229) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 3.13/3.49 ), function( X ) }.
% 3.13/3.49 (20230) {G0,W8,D2,L4,V1,M4} { ! relation( X ), ! empty( X ), ! function( X
% 3.13/3.49 ), one_to_one( X ) }.
% 3.13/3.49 (20231) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 3.13/3.49 epsilon_connected( X ), ordinal( X ) }.
% 3.13/3.49 (20232) {G0,W4,D2,L2,V1,M2} { ! empty( X ), epsilon_transitive( X ) }.
% 3.13/3.49 (20233) {G0,W4,D2,L2,V1,M2} { ! empty( X ), epsilon_connected( X ) }.
% 3.13/3.49 (20234) {G0,W4,D2,L2,V1,M2} { ! empty( X ), ordinal( X ) }.
% 3.13/3.49 (20235) {G0,W8,D2,L3,V2,M3} { ! epsilon_transitive( X ), ! in( Y, X ),
% 3.13/3.49 subset( Y, X ) }.
% 3.13/3.49 (20236) {G0,W6,D3,L2,V1,M2} { in( skol1( X ), X ), epsilon_transitive( X )
% 3.13/3.49 }.
% 3.13/3.49 (20237) {G0,W6,D3,L2,V1,M2} { ! subset( skol1( X ), X ),
% 3.13/3.49 epsilon_transitive( X ) }.
% 3.13/3.49 (20238) {G0,W9,D2,L3,V3,M3} { ! epsilon_connected( X ), ! in( Y, X ), !
% 3.13/3.49 alpha2( X, Y, Z ) }.
% 3.13/3.49 (20239) {G0,W6,D3,L2,V1,M2} { in( skol2( X ), X ), epsilon_connected( X )
% 3.13/3.49 }.
% 3.13/3.49 (20240) {G0,W8,D3,L2,V1,M2} { alpha2( X, skol2( X ), skol17( X ) ),
% 3.13/3.49 epsilon_connected( X ) }.
% 3.13/3.49 (20241) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 3.13/3.49 (20242) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha1( Y, Z ) }.
% 3.13/3.49 (20243) {G0,W10,D2,L3,V3,M3} { ! in( Z, X ), ! alpha1( Y, Z ), alpha2( X,
% 3.13/3.49 Y, Z ) }.
% 3.13/3.49 (20244) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! in( X, Y ) }.
% 3.13/3.49 (20245) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha3( X, Y ) }.
% 3.13/3.49 (20246) {G0,W9,D2,L3,V2,M3} { in( X, Y ), ! alpha3( X, Y ), alpha1( X, Y )
% 3.13/3.49 }.
% 3.13/3.49 (20247) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), ! X = Y }.
% 3.13/3.49 (20248) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), ! in( Y, X ) }.
% 3.13/3.49 (20249) {G0,W9,D2,L3,V2,M3} { X = Y, in( Y, X ), alpha3( X, Y ) }.
% 3.13/3.49 (20250) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive( X ) }.
% 3.13/3.49 (20251) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected( X ) }.
% 3.13/3.49 (20252) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 3.13/3.49 epsilon_connected( X ), ordinal( X ) }.
% 3.13/3.49 (20253) {G0,W1,D1,L1,V0,M1} { && }.
% 3.13/3.49 (20254) {G0,W1,D1,L1,V0,M1} { && }.
% 3.13/3.49 (20255) {G0,W1,D1,L1,V0,M1} { && }.
% 3.13/3.49 (20256) {G0,W4,D3,L1,V1,M1} { element( skol3( X ), X ) }.
% 3.13/3.49 (20257) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 3.13/3.49 (20258) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 3.13/3.49 (20259) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 3.13/3.49 (20260) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 3.13/3.49 (20261) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 3.13/3.49 (20262) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( empty_set ) }.
% 3.13/3.49 (20263) {G0,W2,D2,L1,V0,M1} { function( empty_set ) }.
% 3.13/3.49 (20264) {G0,W2,D2,L1,V0,M1} { one_to_one( empty_set ) }.
% 3.13/3.49 (20265) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 3.13/3.49 (20266) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( empty_set ) }.
% 3.13/3.49 (20267) {G0,W2,D2,L1,V0,M1} { epsilon_connected( empty_set ) }.
% 3.13/3.49 (20268) {G0,W2,D2,L1,V0,M1} { ordinal( empty_set ) }.
% 3.13/3.49 (20269) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 3.13/3.49 (20270) {G0,W2,D2,L1,V0,M1} { relation( empty_set ) }.
% 3.13/3.49 (20271) {G0,W2,D2,L1,V0,M1} { relation( skol4 ) }.
% 3.13/3.49 (20272) {G0,W2,D2,L1,V0,M1} { function( skol4 ) }.
% 3.13/3.49 (20273) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol5 ) }.
% 3.13/3.49 (20274) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol5 ) }.
% 3.13/3.49 (20275) {G0,W2,D2,L1,V0,M1} { ordinal( skol5 ) }.
% 3.13/3.49 (20276) {G0,W2,D2,L1,V0,M1} { empty( skol6 ) }.
% 3.13/3.49 (20277) {G0,W2,D2,L1,V0,M1} { relation( skol6 ) }.
% 3.13/3.49 (20278) {G0,W2,D2,L1,V0,M1} { empty( skol7 ) }.
% 3.13/3.49 (20279) {G0,W2,D2,L1,V0,M1} { relation( skol8 ) }.
% 3.13/3.49 (20280) {G0,W2,D2,L1,V0,M1} { empty( skol8 ) }.
% 3.13/3.49 (20281) {G0,W2,D2,L1,V0,M1} { function( skol8 ) }.
% 3.13/3.49 (20282) {G0,W2,D2,L1,V0,M1} { relation( skol9 ) }.
% 3.13/3.49 (20283) {G0,W2,D2,L1,V0,M1} { function( skol9 ) }.
% 3.13/3.49 (20284) {G0,W2,D2,L1,V0,M1} { one_to_one( skol9 ) }.
% 3.13/3.49 (20285) {G0,W2,D2,L1,V0,M1} { empty( skol9 ) }.
% 3.13/3.49 (20286) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol9 ) }.
% 3.13/3.49 (20287) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol9 ) }.
% 3.13/3.49 (20288) {G0,W2,D2,L1,V0,M1} { ordinal( skol9 ) }.
% 3.13/3.49 (20289) {G0,W2,D2,L1,V0,M1} { ! empty( skol10 ) }.
% 3.13/3.49 (20290) {G0,W2,D2,L1,V0,M1} { relation( skol10 ) }.
% 3.13/3.49 (20291) {G0,W2,D2,L1,V0,M1} { ! empty( skol11 ) }.
% 3.13/3.49 (20292) {G0,W2,D2,L1,V0,M1} { relation( skol12 ) }.
% 3.13/3.49 (20293) {G0,W2,D2,L1,V0,M1} { function( skol12 ) }.
% 3.13/3.49 (20294) {G0,W2,D2,L1,V0,M1} { one_to_one( skol12 ) }.
% 3.13/3.49 (20295) {G0,W2,D2,L1,V0,M1} { ! empty( skol13 ) }.
% 3.13/3.49 (20296) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol13 ) }.
% 3.13/3.49 (20297) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol13 ) }.
% 3.13/3.49 (20298) {G0,W2,D2,L1,V0,M1} { ordinal( skol13 ) }.
% 3.13/3.49 (20299) {G0,W2,D2,L1,V0,M1} { relation( skol14 ) }.
% 3.13/3.49 (20300) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol14 ) }.
% 3.13/3.49 (20301) {G0,W2,D2,L1,V0,M1} { relation( skol15 ) }.
% 3.13/3.49 (20302) {G0,W2,D2,L1,V0,M1} { relation_empty_yielding( skol15 ) }.
% 3.13/3.49 (20303) {G0,W2,D2,L1,V0,M1} { function( skol15 ) }.
% 3.13/3.49 (20304) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 3.13/3.49 (20305) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 3.13/3.49 (20306) {G0,W13,D2,L5,V2,M5} { ! ordinal( X ), ! ordinal( Y ), in( X, Y )
% 3.13/3.49 , X = Y, in( Y, X ) }.
% 3.13/3.49 (20307) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 3.13/3.49 }.
% 3.13/3.49 (20308) {G0,W5,D2,L2,V1,M2} { ! in( X, skol16 ), ordinal( X ) }.
% 3.13/3.49 (20309) {G0,W6,D2,L2,V1,M2} { ! in( X, skol16 ), subset( X, skol16 ) }.
% 3.13/3.49 (20310) {G0,W2,D2,L1,V0,M1} { ! ordinal( skol16 ) }.
% 3.13/3.49 (20311) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 3.13/3.49 ) }.
% 3.13/3.49 (20312) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 3.13/3.49 ) }.
% 3.13/3.49 (20313) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 3.13/3.49 , element( X, Y ) }.
% 3.13/3.49 (20314) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 3.13/3.49 , ! empty( Z ) }.
% 3.13/3.49 (20315) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 3.13/3.49 (20316) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 3.13/3.49 (20317) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 3.13/3.49
% 3.13/3.49
% 3.13/3.49 Total Proof:
% 3.13/3.49
% 3.13/3.49 subsumption: (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive
% 3.13/3.49 ( X ) }.
% 3.13/3.49 parent0: (20225) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive
% 3.13/3.49 ( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (3) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_connected
% 3.13/3.49 ( X ) }.
% 3.13/3.49 parent0: (20226) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected(
% 3.13/3.49 X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), !
% 3.13/3.49 epsilon_connected( X ), ordinal( X ) }.
% 3.13/3.49 parent0: (20231) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 3.13/3.49 epsilon_connected( X ), ordinal( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 2 ==> 2
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (11) {G0,W6,D3,L2,V1,M2} I { in( skol1( X ), X ),
% 3.13/3.49 epsilon_transitive( X ) }.
% 3.13/3.49 parent0: (20236) {G0,W6,D3,L2,V1,M2} { in( skol1( X ), X ),
% 3.13/3.49 epsilon_transitive( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (12) {G0,W6,D3,L2,V1,M2} I { ! subset( skol1( X ), X ),
% 3.13/3.49 epsilon_transitive( X ) }.
% 3.13/3.49 parent0: (20237) {G0,W6,D3,L2,V1,M2} { ! subset( skol1( X ), X ),
% 3.13/3.49 epsilon_transitive( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (14) {G0,W6,D3,L2,V1,M2} I { in( skol2( X ), X ),
% 3.13/3.49 epsilon_connected( X ) }.
% 3.13/3.49 parent0: (20239) {G0,W6,D3,L2,V1,M2} { in( skol2( X ), X ),
% 3.13/3.49 epsilon_connected( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (15) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol17( X
% 3.13/3.49 ) ), epsilon_connected( X ) }.
% 3.13/3.49 parent0: (20240) {G0,W8,D3,L2,V1,M2} { alpha2( X, skol2( X ), skol17( X )
% 3.13/3.49 ), epsilon_connected( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (16) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Z, X )
% 3.13/3.49 }.
% 3.13/3.49 parent0: (20241) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), in( Z, X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 Y := Y
% 3.13/3.49 Z := Z
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (17) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), alpha1( Y, Z
% 3.13/3.49 ) }.
% 3.13/3.49 parent0: (20242) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha1( Y, Z )
% 3.13/3.49 }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 Y := Y
% 3.13/3.49 Z := Z
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (19) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! in( X, Y )
% 3.13/3.49 }.
% 3.13/3.49 parent0: (20244) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! in( X, Y ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 Y := Y
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (20) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y )
% 3.13/3.49 }.
% 3.13/3.49 parent0: (20245) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha3( X, Y )
% 3.13/3.49 }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 Y := Y
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (22) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! X = Y }.
% 3.13/3.49 parent0: (20247) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), ! X = Y }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 Y := Y
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (23) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! in( Y, X )
% 3.13/3.49 }.
% 3.13/3.49 parent0: (20248) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), ! in( Y, X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 Y := Y
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (70) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ),
% 3.13/3.49 in( X, Y ), X = Y, in( Y, X ) }.
% 3.13/3.49 parent0: (20306) {G0,W13,D2,L5,V2,M5} { ! ordinal( X ), ! ordinal( Y ), in
% 3.13/3.49 ( X, Y ), X = Y, in( Y, X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 Y := Y
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 2 ==> 2
% 3.13/3.49 3 ==> 3
% 3.13/3.49 4 ==> 4
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (72) {G0,W5,D2,L2,V1,M2} I { ! in( X, skol16 ), ordinal( X )
% 3.13/3.49 }.
% 3.13/3.49 parent0: (20308) {G0,W5,D2,L2,V1,M2} { ! in( X, skol16 ), ordinal( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (73) {G0,W6,D2,L2,V1,M2} I { ! in( X, skol16 ), subset( X,
% 3.13/3.49 skol16 ) }.
% 3.13/3.49 parent0: (20309) {G0,W6,D2,L2,V1,M2} { ! in( X, skol16 ), subset( X,
% 3.13/3.49 skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (74) {G0,W2,D2,L1,V0,M1} I { ! ordinal( skol16 ) }.
% 3.13/3.49 parent0: (20310) {G0,W2,D2,L1,V0,M1} { ! ordinal( skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20357) {G1,W4,D2,L2,V0,M2} { ! epsilon_transitive( skol16 ),
% 3.13/3.49 ! epsilon_connected( skol16 ) }.
% 3.13/3.49 parent0[0]: (74) {G0,W2,D2,L1,V0,M1} I { ! ordinal( skol16 ) }.
% 3.13/3.49 parent1[2]: (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), !
% 3.13/3.49 epsilon_connected( X ), ordinal( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := skol16
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (87) {G1,W4,D2,L2,V0,M2} R(6,74) { ! epsilon_transitive(
% 3.13/3.49 skol16 ), ! epsilon_connected( skol16 ) }.
% 3.13/3.49 parent0: (20357) {G1,W4,D2,L2,V0,M2} { ! epsilon_transitive( skol16 ), !
% 3.13/3.49 epsilon_connected( skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20358) {G1,W7,D3,L2,V1,M2} { alpha1( skol2( X ), skol17( X )
% 3.13/3.49 ), epsilon_connected( X ) }.
% 3.13/3.49 parent0[0]: (17) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), alpha1( Y, Z
% 3.13/3.49 ) }.
% 3.13/3.49 parent1[0]: (15) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol17( X )
% 3.13/3.49 ), epsilon_connected( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 Y := skol2( X )
% 3.13/3.49 Z := skol17( X )
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (153) {G1,W7,D3,L2,V1,M2} R(17,15) { alpha1( skol2( X ),
% 3.13/3.49 skol17( X ) ), epsilon_connected( X ) }.
% 3.13/3.49 parent0: (20358) {G1,W7,D3,L2,V1,M2} { alpha1( skol2( X ), skol17( X ) ),
% 3.13/3.49 epsilon_connected( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20359) {G1,W5,D2,L2,V1,M2} { epsilon_connected( X ), ! in( X
% 3.13/3.49 , skol16 ) }.
% 3.13/3.49 parent0[0]: (3) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_connected(
% 3.13/3.49 X ) }.
% 3.13/3.49 parent1[1]: (72) {G0,W5,D2,L2,V1,M2} I { ! in( X, skol16 ), ordinal( X )
% 3.13/3.49 }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (180) {G1,W5,D2,L2,V1,M2} R(72,3) { ! in( X, skol16 ),
% 3.13/3.49 epsilon_connected( X ) }.
% 3.13/3.49 parent0: (20359) {G1,W5,D2,L2,V1,M2} { epsilon_connected( X ), ! in( X,
% 3.13/3.49 skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 1
% 3.13/3.49 1 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20360) {G1,W5,D2,L2,V1,M2} { epsilon_transitive( X ), ! in( X
% 3.13/3.49 , skol16 ) }.
% 3.13/3.49 parent0[0]: (2) {G0,W4,D2,L2,V1,M2} I { ! ordinal( X ), epsilon_transitive
% 3.13/3.49 ( X ) }.
% 3.13/3.49 parent1[1]: (72) {G0,W5,D2,L2,V1,M2} I { ! in( X, skol16 ), ordinal( X )
% 3.13/3.49 }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (181) {G1,W5,D2,L2,V1,M2} R(72,2) { ! in( X, skol16 ),
% 3.13/3.49 epsilon_transitive( X ) }.
% 3.13/3.49 parent0: (20360) {G1,W5,D2,L2,V1,M2} { epsilon_transitive( X ), ! in( X,
% 3.13/3.49 skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 1
% 3.13/3.49 1 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20361) {G1,W6,D2,L2,V2,M2} { epsilon_connected( X ), ! alpha2
% 3.13/3.49 ( skol16, Y, X ) }.
% 3.13/3.49 parent0[0]: (180) {G1,W5,D2,L2,V1,M2} R(72,3) { ! in( X, skol16 ),
% 3.13/3.49 epsilon_connected( X ) }.
% 3.13/3.49 parent1[1]: (16) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Z, X )
% 3.13/3.49 }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := skol16
% 3.13/3.49 Y := Y
% 3.13/3.49 Z := X
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (190) {G2,W6,D2,L2,V2,M2} R(180,16) { epsilon_connected( X ),
% 3.13/3.49 ! alpha2( skol16, Y, X ) }.
% 3.13/3.49 parent0: (20361) {G1,W6,D2,L2,V2,M2} { epsilon_connected( X ), ! alpha2(
% 3.13/3.49 skol16, Y, X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 Y := Y
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20362) {G1,W5,D3,L2,V0,M2} { epsilon_connected( skol2( skol16
% 3.13/3.49 ) ), epsilon_connected( skol16 ) }.
% 3.13/3.49 parent0[0]: (180) {G1,W5,D2,L2,V1,M2} R(72,3) { ! in( X, skol16 ),
% 3.13/3.49 epsilon_connected( X ) }.
% 3.13/3.49 parent1[0]: (14) {G0,W6,D3,L2,V1,M2} I { in( skol2( X ), X ),
% 3.13/3.49 epsilon_connected( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := skol2( skol16 )
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := skol16
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (191) {G2,W5,D3,L2,V0,M2} R(180,14) { epsilon_connected( skol2
% 3.13/3.49 ( skol16 ) ), epsilon_connected( skol16 ) }.
% 3.13/3.49 parent0: (20362) {G1,W5,D3,L2,V0,M2} { epsilon_connected( skol2( skol16 )
% 3.13/3.49 ), epsilon_connected( skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20363) {G1,W6,D2,L2,V2,M2} { epsilon_transitive( X ), !
% 3.13/3.49 alpha2( skol16, Y, X ) }.
% 3.13/3.49 parent0[0]: (181) {G1,W5,D2,L2,V1,M2} R(72,2) { ! in( X, skol16 ),
% 3.13/3.49 epsilon_transitive( X ) }.
% 3.13/3.49 parent1[1]: (16) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), in( Z, X )
% 3.13/3.49 }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := skol16
% 3.13/3.49 Y := Y
% 3.13/3.49 Z := X
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (195) {G2,W6,D2,L2,V2,M2} R(181,16) { epsilon_transitive( X )
% 3.13/3.49 , ! alpha2( skol16, Y, X ) }.
% 3.13/3.49 parent0: (20363) {G1,W6,D2,L2,V2,M2} { epsilon_transitive( X ), ! alpha2(
% 3.13/3.49 skol16, Y, X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 Y := Y
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20364) {G1,W5,D3,L2,V0,M2} { epsilon_transitive( skol2(
% 3.13/3.49 skol16 ) ), epsilon_connected( skol16 ) }.
% 3.13/3.49 parent0[0]: (181) {G1,W5,D2,L2,V1,M2} R(72,2) { ! in( X, skol16 ),
% 3.13/3.49 epsilon_transitive( X ) }.
% 3.13/3.49 parent1[0]: (14) {G0,W6,D3,L2,V1,M2} I { in( skol2( X ), X ),
% 3.13/3.49 epsilon_connected( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := skol2( skol16 )
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := skol16
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (196) {G2,W5,D3,L2,V0,M2} R(181,14) { epsilon_transitive(
% 3.13/3.49 skol2( skol16 ) ), epsilon_connected( skol16 ) }.
% 3.13/3.49 parent0: (20364) {G1,W5,D3,L2,V0,M2} { epsilon_transitive( skol2( skol16 )
% 3.13/3.49 ), epsilon_connected( skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20365) {G2,W5,D3,L2,V0,M2} { ! epsilon_transitive( skol16 ),
% 3.13/3.49 epsilon_transitive( skol2( skol16 ) ) }.
% 3.13/3.49 parent0[1]: (87) {G1,W4,D2,L2,V0,M2} R(6,74) { ! epsilon_transitive( skol16
% 3.13/3.49 ), ! epsilon_connected( skol16 ) }.
% 3.13/3.49 parent1[1]: (196) {G2,W5,D3,L2,V0,M2} R(181,14) { epsilon_transitive( skol2
% 3.13/3.49 ( skol16 ) ), epsilon_connected( skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (199) {G3,W5,D3,L2,V0,M2} R(196,87) { epsilon_transitive(
% 3.13/3.49 skol2( skol16 ) ), ! epsilon_transitive( skol16 ) }.
% 3.13/3.49 parent0: (20365) {G2,W5,D3,L2,V0,M2} { ! epsilon_transitive( skol16 ),
% 3.13/3.49 epsilon_transitive( skol2( skol16 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 1
% 3.13/3.49 1 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 eqswap: (20366) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha3( X, Y ) }.
% 3.13/3.49 parent0[1]: (22) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! X = Y }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 Y := Y
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20367) {G1,W6,D2,L2,V2,M2} { ! X = Y, ! alpha1( Y, X ) }.
% 3.13/3.49 parent0[1]: (20366) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha3( X, Y ) }.
% 3.13/3.49 parent1[1]: (20) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y )
% 3.13/3.49 }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := Y
% 3.13/3.49 Y := X
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := Y
% 3.13/3.49 Y := X
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 eqswap: (20368) {G1,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 3.13/3.49 parent0[0]: (20367) {G1,W6,D2,L2,V2,M2} { ! X = Y, ! alpha1( Y, X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 Y := Y
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (206) {G1,W6,D2,L2,V2,M2} R(22,20) { ! X = Y, ! alpha1( X, Y )
% 3.13/3.49 }.
% 3.13/3.49 parent0: (20368) {G1,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := Y
% 3.13/3.49 Y := X
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20369) {G1,W6,D2,L2,V2,M2} { ! in( Y, X ), ! alpha1( X, Y )
% 3.13/3.49 }.
% 3.13/3.49 parent0[0]: (23) {G0,W6,D2,L2,V2,M2} I { ! alpha3( X, Y ), ! in( Y, X ) }.
% 3.13/3.49 parent1[1]: (20) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y )
% 3.13/3.49 }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 Y := Y
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := X
% 3.13/3.49 Y := Y
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (218) {G1,W6,D2,L2,V2,M2} R(23,20) { ! in( X, Y ), ! alpha1( Y
% 3.13/3.49 , X ) }.
% 3.13/3.49 parent0: (20369) {G1,W6,D2,L2,V2,M2} { ! in( Y, X ), ! alpha1( X, Y ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := Y
% 3.13/3.49 Y := X
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20370) {G2,W5,D3,L2,V0,M2} { ! epsilon_transitive( skol16 ),
% 3.13/3.49 epsilon_connected( skol2( skol16 ) ) }.
% 3.13/3.49 parent0[1]: (87) {G1,W4,D2,L2,V0,M2} R(6,74) { ! epsilon_transitive( skol16
% 3.13/3.49 ), ! epsilon_connected( skol16 ) }.
% 3.13/3.49 parent1[1]: (191) {G2,W5,D3,L2,V0,M2} R(180,14) { epsilon_connected( skol2
% 3.13/3.49 ( skol16 ) ), epsilon_connected( skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (223) {G3,W5,D3,L2,V0,M2} R(191,87) { epsilon_connected( skol2
% 3.13/3.49 ( skol16 ) ), ! epsilon_transitive( skol16 ) }.
% 3.13/3.49 parent0: (20370) {G2,W5,D3,L2,V0,M2} { ! epsilon_transitive( skol16 ),
% 3.13/3.49 epsilon_connected( skol2( skol16 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 1
% 3.13/3.49 1 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20371) {G1,W8,D3,L3,V0,M3} { ! epsilon_transitive( skol2(
% 3.13/3.49 skol16 ) ), ordinal( skol2( skol16 ) ), ! epsilon_transitive( skol16 )
% 3.13/3.49 }.
% 3.13/3.49 parent0[1]: (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), !
% 3.13/3.49 epsilon_connected( X ), ordinal( X ) }.
% 3.13/3.49 parent1[0]: (223) {G3,W5,D3,L2,V0,M2} R(191,87) { epsilon_connected( skol2
% 3.13/3.49 ( skol16 ) ), ! epsilon_transitive( skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := skol2( skol16 )
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20372) {G2,W7,D3,L3,V0,M3} { ordinal( skol2( skol16 ) ), !
% 3.13/3.49 epsilon_transitive( skol16 ), ! epsilon_transitive( skol16 ) }.
% 3.13/3.49 parent0[0]: (20371) {G1,W8,D3,L3,V0,M3} { ! epsilon_transitive( skol2(
% 3.13/3.49 skol16 ) ), ordinal( skol2( skol16 ) ), ! epsilon_transitive( skol16 )
% 3.13/3.49 }.
% 3.13/3.49 parent1[0]: (199) {G3,W5,D3,L2,V0,M2} R(196,87) { epsilon_transitive( skol2
% 3.13/3.49 ( skol16 ) ), ! epsilon_transitive( skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 factor: (20373) {G2,W5,D3,L2,V0,M2} { ordinal( skol2( skol16 ) ), !
% 3.13/3.49 epsilon_transitive( skol16 ) }.
% 3.13/3.49 parent0[1, 2]: (20372) {G2,W7,D3,L3,V0,M3} { ordinal( skol2( skol16 ) ), !
% 3.13/3.49 epsilon_transitive( skol16 ), ! epsilon_transitive( skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (229) {G4,W5,D3,L2,V0,M2} R(223,6);r(199) { !
% 3.13/3.49 epsilon_transitive( skol16 ), ordinal( skol2( skol16 ) ) }.
% 3.13/3.49 parent0: (20373) {G2,W5,D3,L2,V0,M2} { ordinal( skol2( skol16 ) ), !
% 3.13/3.49 epsilon_transitive( skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 1
% 3.13/3.49 1 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20374) {G1,W6,D3,L2,V0,M2} { epsilon_transitive( skol16 ), !
% 3.13/3.49 in( skol1( skol16 ), skol16 ) }.
% 3.13/3.49 parent0[0]: (12) {G0,W6,D3,L2,V1,M2} I { ! subset( skol1( X ), X ),
% 3.13/3.49 epsilon_transitive( X ) }.
% 3.13/3.49 parent1[1]: (73) {G0,W6,D2,L2,V1,M2} I { ! in( X, skol16 ), subset( X,
% 3.13/3.49 skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := skol16
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := skol1( skol16 )
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20375) {G1,W4,D2,L2,V0,M2} { epsilon_transitive( skol16 ),
% 3.13/3.49 epsilon_transitive( skol16 ) }.
% 3.13/3.49 parent0[1]: (20374) {G1,W6,D3,L2,V0,M2} { epsilon_transitive( skol16 ), !
% 3.13/3.49 in( skol1( skol16 ), skol16 ) }.
% 3.13/3.49 parent1[0]: (11) {G0,W6,D3,L2,V1,M2} I { in( skol1( X ), X ),
% 3.13/3.49 epsilon_transitive( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := skol16
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 factor: (20376) {G1,W2,D2,L1,V0,M1} { epsilon_transitive( skol16 ) }.
% 3.13/3.49 parent0[0, 1]: (20375) {G1,W4,D2,L2,V0,M2} { epsilon_transitive( skol16 )
% 3.13/3.49 , epsilon_transitive( skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (511) {G1,W2,D2,L1,V0,M1} R(73,12);r(11) { epsilon_transitive
% 3.13/3.49 ( skol16 ) }.
% 3.13/3.49 parent0: (20376) {G1,W2,D2,L1,V0,M1} { epsilon_transitive( skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20377) {G2,W3,D3,L1,V0,M1} { ordinal( skol2( skol16 ) ) }.
% 3.13/3.49 parent0[0]: (229) {G4,W5,D3,L2,V0,M2} R(223,6);r(199) { !
% 3.13/3.49 epsilon_transitive( skol16 ), ordinal( skol2( skol16 ) ) }.
% 3.13/3.49 parent1[0]: (511) {G1,W2,D2,L1,V0,M1} R(73,12);r(11) { epsilon_transitive(
% 3.13/3.49 skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (514) {G5,W3,D3,L1,V0,M1} R(511,229) { ordinal( skol2( skol16
% 3.13/3.49 ) ) }.
% 3.13/3.49 parent0: (20377) {G2,W3,D3,L1,V0,M1} { ordinal( skol2( skol16 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20378) {G2,W2,D2,L1,V0,M1} { ! epsilon_connected( skol16 )
% 3.13/3.49 }.
% 3.13/3.49 parent0[0]: (87) {G1,W4,D2,L2,V0,M2} R(6,74) { ! epsilon_transitive( skol16
% 3.13/3.49 ), ! epsilon_connected( skol16 ) }.
% 3.13/3.49 parent1[0]: (511) {G1,W2,D2,L1,V0,M1} R(73,12);r(11) { epsilon_transitive(
% 3.13/3.49 skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (517) {G2,W2,D2,L1,V0,M1} R(511,87) { ! epsilon_connected(
% 3.13/3.49 skol16 ) }.
% 3.13/3.49 parent0: (20378) {G2,W2,D2,L1,V0,M1} { ! epsilon_connected( skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20379) {G1,W5,D3,L2,V0,M2} { epsilon_transitive( skol17(
% 3.13/3.49 skol16 ) ), epsilon_connected( skol16 ) }.
% 3.13/3.49 parent0[1]: (195) {G2,W6,D2,L2,V2,M2} R(181,16) { epsilon_transitive( X ),
% 3.13/3.49 ! alpha2( skol16, Y, X ) }.
% 3.13/3.49 parent1[0]: (15) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol17( X )
% 3.13/3.49 ), epsilon_connected( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := skol17( skol16 )
% 3.13/3.49 Y := skol2( skol16 )
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := skol16
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20380) {G2,W3,D3,L1,V0,M1} { epsilon_transitive( skol17(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 parent0[0]: (517) {G2,W2,D2,L1,V0,M1} R(511,87) { ! epsilon_connected(
% 3.13/3.49 skol16 ) }.
% 3.13/3.49 parent1[1]: (20379) {G1,W5,D3,L2,V0,M2} { epsilon_transitive( skol17(
% 3.13/3.49 skol16 ) ), epsilon_connected( skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (898) {G3,W3,D3,L1,V0,M1} R(195,15);r(517) {
% 3.13/3.49 epsilon_transitive( skol17( skol16 ) ) }.
% 3.13/3.49 parent0: (20380) {G2,W3,D3,L1,V0,M1} { epsilon_transitive( skol17( skol16
% 3.13/3.49 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20381) {G1,W5,D3,L2,V0,M2} { epsilon_connected( skol17(
% 3.13/3.49 skol16 ) ), epsilon_connected( skol16 ) }.
% 3.13/3.49 parent0[1]: (190) {G2,W6,D2,L2,V2,M2} R(180,16) { epsilon_connected( X ), !
% 3.13/3.49 alpha2( skol16, Y, X ) }.
% 3.13/3.49 parent1[0]: (15) {G0,W8,D3,L2,V1,M2} I { alpha2( X, skol2( X ), skol17( X )
% 3.13/3.49 ), epsilon_connected( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := skol17( skol16 )
% 3.13/3.49 Y := skol2( skol16 )
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := skol16
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20382) {G2,W3,D3,L1,V0,M1} { epsilon_connected( skol17(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 parent0[0]: (517) {G2,W2,D2,L1,V0,M1} R(511,87) { ! epsilon_connected(
% 3.13/3.49 skol16 ) }.
% 3.13/3.49 parent1[1]: (20381) {G1,W5,D3,L2,V0,M2} { epsilon_connected( skol17(
% 3.13/3.49 skol16 ) ), epsilon_connected( skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (904) {G3,W3,D3,L1,V0,M1} R(190,15);r(517) { epsilon_connected
% 3.13/3.49 ( skol17( skol16 ) ) }.
% 3.13/3.49 parent0: (20382) {G2,W3,D3,L1,V0,M1} { epsilon_connected( skol17( skol16 )
% 3.13/3.49 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20383) {G1,W6,D3,L2,V0,M2} { ! epsilon_transitive( skol17(
% 3.13/3.49 skol16 ) ), ordinal( skol17( skol16 ) ) }.
% 3.13/3.49 parent0[1]: (6) {G0,W6,D2,L3,V1,M3} I { ! epsilon_transitive( X ), !
% 3.13/3.49 epsilon_connected( X ), ordinal( X ) }.
% 3.13/3.49 parent1[0]: (904) {G3,W3,D3,L1,V0,M1} R(190,15);r(517) { epsilon_connected
% 3.13/3.49 ( skol17( skol16 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := skol17( skol16 )
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20384) {G2,W3,D3,L1,V0,M1} { ordinal( skol17( skol16 ) ) }.
% 3.13/3.49 parent0[0]: (20383) {G1,W6,D3,L2,V0,M2} { ! epsilon_transitive( skol17(
% 3.13/3.49 skol16 ) ), ordinal( skol17( skol16 ) ) }.
% 3.13/3.49 parent1[0]: (898) {G3,W3,D3,L1,V0,M1} R(195,15);r(517) { epsilon_transitive
% 3.13/3.49 ( skol17( skol16 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (908) {G4,W3,D3,L1,V0,M1} R(904,6);r(898) { ordinal( skol17(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 parent0: (20384) {G2,W3,D3,L1,V0,M1} { ordinal( skol17( skol16 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20385) {G2,W5,D3,L1,V0,M1} { alpha1( skol2( skol16 ), skol17
% 3.13/3.49 ( skol16 ) ) }.
% 3.13/3.49 parent0[0]: (517) {G2,W2,D2,L1,V0,M1} R(511,87) { ! epsilon_connected(
% 3.13/3.49 skol16 ) }.
% 3.13/3.49 parent1[1]: (153) {G1,W7,D3,L2,V1,M2} R(17,15) { alpha1( skol2( X ), skol17
% 3.13/3.49 ( X ) ), epsilon_connected( X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := skol16
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (1723) {G3,W5,D3,L1,V0,M1} R(153,517) { alpha1( skol2( skol16
% 3.13/3.49 ), skol17( skol16 ) ) }.
% 3.13/3.49 parent0: (20385) {G2,W5,D3,L1,V0,M1} { alpha1( skol2( skol16 ), skol17(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 eqswap: (20386) {G1,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( X, Y ) }.
% 3.13/3.49 parent0[0]: (206) {G1,W6,D2,L2,V2,M2} R(22,20) { ! X = Y, ! alpha1( X, Y )
% 3.13/3.49 }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := X
% 3.13/3.49 Y := Y
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20387) {G2,W5,D3,L1,V0,M1} { ! skol17( skol16 ) = skol2(
% 3.13/3.49 skol16 ) }.
% 3.13/3.49 parent0[1]: (20386) {G1,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( X, Y ) }.
% 3.13/3.49 parent1[0]: (1723) {G3,W5,D3,L1,V0,M1} R(153,517) { alpha1( skol2( skol16 )
% 3.13/3.49 , skol17( skol16 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := skol2( skol16 )
% 3.13/3.49 Y := skol17( skol16 )
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 eqswap: (20388) {G2,W5,D3,L1,V0,M1} { ! skol2( skol16 ) = skol17( skol16 )
% 3.13/3.49 }.
% 3.13/3.49 parent0[0]: (20387) {G2,W5,D3,L1,V0,M1} { ! skol17( skol16 ) = skol2(
% 3.13/3.49 skol16 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (1727) {G4,W5,D3,L1,V0,M1} R(1723,206) { ! skol2( skol16 ) ==>
% 3.13/3.49 skol17( skol16 ) }.
% 3.13/3.49 parent0: (20388) {G2,W5,D3,L1,V0,M1} { ! skol2( skol16 ) = skol17( skol16
% 3.13/3.49 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20389) {G2,W5,D3,L1,V0,M1} { ! in( skol17( skol16 ), skol2(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 parent0[1]: (218) {G1,W6,D2,L2,V2,M2} R(23,20) { ! in( X, Y ), ! alpha1( Y
% 3.13/3.49 , X ) }.
% 3.13/3.49 parent1[0]: (1723) {G3,W5,D3,L1,V0,M1} R(153,517) { alpha1( skol2( skol16 )
% 3.13/3.49 , skol17( skol16 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := skol17( skol16 )
% 3.13/3.49 Y := skol2( skol16 )
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (1728) {G4,W5,D3,L1,V0,M1} R(1723,218) { ! in( skol17( skol16
% 3.13/3.49 ), skol2( skol16 ) ) }.
% 3.13/3.49 parent0: (20389) {G2,W5,D3,L1,V0,M1} { ! in( skol17( skol16 ), skol2(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20390) {G1,W5,D3,L1,V0,M1} { ! in( skol2( skol16 ), skol17(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 parent0[0]: (19) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! in( X, Y ) }.
% 3.13/3.49 parent1[0]: (1723) {G3,W5,D3,L1,V0,M1} R(153,517) { alpha1( skol2( skol16 )
% 3.13/3.49 , skol17( skol16 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 X := skol2( skol16 )
% 3.13/3.49 Y := skol17( skol16 )
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (1730) {G4,W5,D3,L1,V0,M1} R(1723,19) { ! in( skol2( skol16 )
% 3.13/3.49 , skol17( skol16 ) ) }.
% 3.13/3.49 parent0: (20390) {G1,W5,D3,L1,V0,M1} { ! in( skol2( skol16 ), skol17(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20391) {G1,W16,D3,L4,V0,M4} { ! ordinal( skol2( skol16 ) ), !
% 3.13/3.49 ordinal( skol17( skol16 ) ), skol2( skol16 ) = skol17( skol16 ), in(
% 3.13/3.49 skol17( skol16 ), skol2( skol16 ) ) }.
% 3.13/3.49 parent0[0]: (1730) {G4,W5,D3,L1,V0,M1} R(1723,19) { ! in( skol2( skol16 ),
% 3.13/3.49 skol17( skol16 ) ) }.
% 3.13/3.49 parent1[2]: (70) {G0,W13,D2,L5,V2,M5} I { ! ordinal( X ), ! ordinal( Y ),
% 3.13/3.49 in( X, Y ), X = Y, in( Y, X ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 X := skol2( skol16 )
% 3.13/3.49 Y := skol17( skol16 )
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20393) {G2,W13,D3,L3,V0,M3} { ! ordinal( skol17( skol16 ) ),
% 3.13/3.49 skol2( skol16 ) = skol17( skol16 ), in( skol17( skol16 ), skol2( skol16 )
% 3.13/3.49 ) }.
% 3.13/3.49 parent0[0]: (20391) {G1,W16,D3,L4,V0,M4} { ! ordinal( skol2( skol16 ) ), !
% 3.13/3.49 ordinal( skol17( skol16 ) ), skol2( skol16 ) = skol17( skol16 ), in(
% 3.13/3.49 skol17( skol16 ), skol2( skol16 ) ) }.
% 3.13/3.49 parent1[0]: (514) {G5,W3,D3,L1,V0,M1} R(511,229) { ordinal( skol2( skol16 )
% 3.13/3.49 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (1783) {G6,W13,D3,L3,V0,M3} R(1730,70);r(514) { ! ordinal(
% 3.13/3.49 skol17( skol16 ) ), skol2( skol16 ) ==> skol17( skol16 ), in( skol17(
% 3.13/3.49 skol16 ), skol2( skol16 ) ) }.
% 3.13/3.49 parent0: (20393) {G2,W13,D3,L3,V0,M3} { ! ordinal( skol17( skol16 ) ),
% 3.13/3.49 skol2( skol16 ) = skol17( skol16 ), in( skol17( skol16 ), skol2( skol16 )
% 3.13/3.49 ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 0 ==> 0
% 3.13/3.49 1 ==> 1
% 3.13/3.49 2 ==> 2
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20397) {G5,W10,D3,L2,V0,M2} { skol2( skol16 ) ==> skol17(
% 3.13/3.49 skol16 ), in( skol17( skol16 ), skol2( skol16 ) ) }.
% 3.13/3.49 parent0[0]: (1783) {G6,W13,D3,L3,V0,M3} R(1730,70);r(514) { ! ordinal(
% 3.13/3.49 skol17( skol16 ) ), skol2( skol16 ) ==> skol17( skol16 ), in( skol17(
% 3.13/3.49 skol16 ), skol2( skol16 ) ) }.
% 3.13/3.49 parent1[0]: (908) {G4,W3,D3,L1,V0,M1} R(904,6);r(898) { ordinal( skol17(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20398) {G5,W5,D3,L1,V0,M1} { in( skol17( skol16 ), skol2(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 parent0[0]: (1727) {G4,W5,D3,L1,V0,M1} R(1723,206) { ! skol2( skol16 ) ==>
% 3.13/3.49 skol17( skol16 ) }.
% 3.13/3.49 parent1[0]: (20397) {G5,W10,D3,L2,V0,M2} { skol2( skol16 ) ==> skol17(
% 3.13/3.49 skol16 ), in( skol17( skol16 ), skol2( skol16 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 resolution: (20399) {G5,W0,D0,L0,V0,M0} { }.
% 3.13/3.49 parent0[0]: (1728) {G4,W5,D3,L1,V0,M1} R(1723,218) { ! in( skol17( skol16 )
% 3.13/3.49 , skol2( skol16 ) ) }.
% 3.13/3.49 parent1[0]: (20398) {G5,W5,D3,L1,V0,M1} { in( skol17( skol16 ), skol2(
% 3.13/3.49 skol16 ) ) }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 substitution1:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 subsumption: (20221) {G7,W0,D0,L0,V0,M0} S(1783);r(908);r(1727);r(1728) {
% 3.13/3.49 }.
% 3.13/3.49 parent0: (20399) {G5,W0,D0,L0,V0,M0} { }.
% 3.13/3.49 substitution0:
% 3.13/3.49 end
% 3.13/3.49 permutation0:
% 3.13/3.49 end
% 3.13/3.49
% 3.13/3.49 Proof check complete!
% 3.13/3.49
% 3.13/3.49 Memory use:
% 3.13/3.49
% 3.13/3.49 space for terms: 259214
% 3.13/3.49 space for clauses: 767078
% 3.13/3.49
% 3.13/3.49
% 3.13/3.49 clauses generated: 75490
% 3.13/3.49 clauses kept: 20222
% 3.13/3.49 clauses selected: 1066
% 3.13/3.49 clauses deleted: 2279
% 3.13/3.49 clauses inuse deleted: 56
% 3.13/3.49
% 3.13/3.49 subsentry: 297587
% 3.13/3.49 literals s-matched: 229579
% 3.13/3.49 literals matched: 223865
% 3.13/3.49 full subsumption: 31798
% 3.13/3.49
% 3.13/3.49 checksum: -2121902792
% 3.13/3.49
% 3.13/3.49
% 3.13/3.49 Bliksem ended
%------------------------------------------------------------------------------