TSTP Solution File: SEU280+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU280+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 07:12:06 EDT 2022
% Result : Theorem 8.77s 9.15s
% Output : Refutation 8.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU280+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Mon Jun 20 01:24:59 EDT 2022
% 0.14/0.34 % CPUTime :
% 8.77/9.15 *** allocated 10000 integers for termspace/termends
% 8.77/9.15 *** allocated 10000 integers for clauses
% 8.77/9.15 *** allocated 10000 integers for justifications
% 8.77/9.15 Bliksem 1.12
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Automatic Strategy Selection
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Clauses:
% 8.77/9.15
% 8.77/9.15 { alpha4( skol1, X, skol6( X ) ), alpha2( skol1, skol6( X ) ) }.
% 8.77/9.15 { alpha4( skol1, X, skol6( X ) ), ! in( skol6( X ), X ) }.
% 8.77/9.15 { ! alpha4( X, Y, Z ), in( Z, Y ) }.
% 8.77/9.15 { ! alpha4( X, Y, Z ), ! in( Z, X ), ! ordinal( Z ) }.
% 8.77/9.15 { ! in( Z, Y ), in( Z, X ), alpha4( X, Y, Z ) }.
% 8.77/9.15 { ! in( Z, Y ), ordinal( Z ), alpha4( X, Y, Z ) }.
% 8.77/9.15 { ! alpha2( X, Y ), in( Y, X ) }.
% 8.77/9.15 { ! alpha2( X, Y ), ordinal( Y ) }.
% 8.77/9.15 { ! in( Y, X ), ! ordinal( Y ), alpha2( X, Y ) }.
% 8.77/9.15 { ! epsilon_transitive( X ), ! epsilon_connected( X ), ordinal( X ) }.
% 8.77/9.15 { epsilon_transitive( skol2 ) }.
% 8.77/9.15 { epsilon_connected( skol2 ) }.
% 8.77/9.15 { ordinal( skol2 ) }.
% 8.77/9.15 { ! in( X, Y ), ! in( Y, X ) }.
% 8.77/9.15 { ! ordinal( X ), epsilon_transitive( X ) }.
% 8.77/9.15 { ! ordinal( X ), epsilon_connected( X ) }.
% 8.77/9.15 { alpha3, ! in( Y, skol3( X ) ), alpha1( Y, skol7( Z, Y ) ) }.
% 8.77/9.15 { alpha3, ! in( Y, skol3( X ) ), in( skol7( X, Y ), X ) }.
% 8.77/9.15 { alpha3, ! in( Z, X ), ! alpha1( Y, Z ), in( Y, skol3( X ) ) }.
% 8.77/9.15 { ! alpha3, alpha5( skol4, skol8 ) }.
% 8.77/9.15 { ! alpha3, ! skol4 = skol8 }.
% 8.77/9.15 { ! alpha5( X, Y ), X = Y, alpha3 }.
% 8.77/9.15 { ! alpha5( X, Y ), skol5( Z, Y ) = Y }.
% 8.77/9.15 { ! alpha5( X, Y ), ordinal( Y ) }.
% 8.77/9.15 { ! alpha5( X, Y ), alpha6( X, skol5( X, Y ) ) }.
% 8.77/9.15 { ! alpha6( X, Z ), ! Z = Y, ! ordinal( Y ), alpha5( X, Y ) }.
% 8.77/9.15 { ! alpha6( X, Y ), Y = X }.
% 8.77/9.15 { ! alpha6( X, Y ), ordinal( X ) }.
% 8.77/9.15 { ! Y = X, ! ordinal( X ), alpha6( X, Y ) }.
% 8.77/9.15 { ! alpha1( X, Y ), Y = X }.
% 8.77/9.15 { ! alpha1( X, Y ), ordinal( X ) }.
% 8.77/9.15 { ! Y = X, ! ordinal( X ), alpha1( X, Y ) }.
% 8.77/9.15
% 8.77/9.15 percentage equality = 0.106667, percentage horn = 0.781250
% 8.77/9.15 This is a problem with some equality
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Options Used:
% 8.77/9.15
% 8.77/9.15 useres = 1
% 8.77/9.15 useparamod = 1
% 8.77/9.15 useeqrefl = 1
% 8.77/9.15 useeqfact = 1
% 8.77/9.15 usefactor = 1
% 8.77/9.15 usesimpsplitting = 0
% 8.77/9.15 usesimpdemod = 5
% 8.77/9.15 usesimpres = 3
% 8.77/9.15
% 8.77/9.15 resimpinuse = 1000
% 8.77/9.15 resimpclauses = 20000
% 8.77/9.15 substype = eqrewr
% 8.77/9.15 backwardsubs = 1
% 8.77/9.15 selectoldest = 5
% 8.77/9.15
% 8.77/9.15 litorderings [0] = split
% 8.77/9.15 litorderings [1] = extend the termordering, first sorting on arguments
% 8.77/9.15
% 8.77/9.15 termordering = kbo
% 8.77/9.15
% 8.77/9.15 litapriori = 0
% 8.77/9.15 termapriori = 1
% 8.77/9.15 litaposteriori = 0
% 8.77/9.15 termaposteriori = 0
% 8.77/9.15 demodaposteriori = 0
% 8.77/9.15 ordereqreflfact = 0
% 8.77/9.15
% 8.77/9.15 litselect = negord
% 8.77/9.15
% 8.77/9.15 maxweight = 15
% 8.77/9.15 maxdepth = 30000
% 8.77/9.15 maxlength = 115
% 8.77/9.15 maxnrvars = 195
% 8.77/9.15 excuselevel = 1
% 8.77/9.15 increasemaxweight = 1
% 8.77/9.15
% 8.77/9.15 maxselected = 10000000
% 8.77/9.15 maxnrclauses = 10000000
% 8.77/9.15
% 8.77/9.15 showgenerated = 0
% 8.77/9.15 showkept = 0
% 8.77/9.15 showselected = 0
% 8.77/9.15 showdeleted = 0
% 8.77/9.15 showresimp = 1
% 8.77/9.15 showstatus = 2000
% 8.77/9.15
% 8.77/9.15 prologoutput = 0
% 8.77/9.15 nrgoals = 5000000
% 8.77/9.15 totalproof = 1
% 8.77/9.15
% 8.77/9.15 Symbols occurring in the translation:
% 8.77/9.15
% 8.77/9.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 8.77/9.15 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 8.77/9.15 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 8.77/9.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.77/9.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.77/9.15 in [38, 2] (w:1, o:49, a:1, s:1, b:0),
% 8.77/9.15 ordinal [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 8.77/9.15 epsilon_transitive [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 8.77/9.15 epsilon_connected [41, 1] (w:1, o:22, a:1, s:1, b:0),
% 8.77/9.15 alpha1 [43, 2] (w:1, o:50, a:1, s:1, b:1),
% 8.77/9.15 alpha2 [44, 2] (w:1, o:51, a:1, s:1, b:1),
% 8.77/9.15 alpha3 [45, 0] (w:1, o:10, a:1, s:1, b:1),
% 8.77/9.15 alpha4 [46, 3] (w:1, o:56, a:1, s:1, b:1),
% 8.77/9.15 alpha5 [47, 2] (w:1, o:52, a:1, s:1, b:1),
% 8.77/9.15 alpha6 [48, 2] (w:1, o:53, a:1, s:1, b:1),
% 8.77/9.15 skol1 [49, 0] (w:1, o:11, a:1, s:1, b:1),
% 8.77/9.15 skol2 [50, 0] (w:1, o:12, a:1, s:1, b:1),
% 8.77/9.15 skol3 [51, 1] (w:1, o:23, a:1, s:1, b:1),
% 8.77/9.15 skol4 [52, 0] (w:1, o:13, a:1, s:1, b:1),
% 8.77/9.15 skol5 [53, 2] (w:1, o:54, a:1, s:1, b:1),
% 8.77/9.15 skol6 [54, 1] (w:1, o:24, a:1, s:1, b:1),
% 8.77/9.15 skol7 [55, 2] (w:1, o:55, a:1, s:1, b:1),
% 8.77/9.15 skol8 [56, 0] (w:1, o:14, a:1, s:1, b:1).
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Starting Search:
% 8.77/9.15
% 8.77/9.15 *** allocated 15000 integers for clauses
% 8.77/9.15 *** allocated 22500 integers for clauses
% 8.77/9.15 *** allocated 33750 integers for clauses
% 8.77/9.15 *** allocated 50625 integers for clauses
% 8.77/9.15 *** allocated 15000 integers for termspace/termends
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 *** allocated 75937 integers for clauses
% 8.77/9.15 *** allocated 22500 integers for termspace/termends
% 8.77/9.15 *** allocated 113905 integers for clauses
% 8.77/9.15 *** allocated 33750 integers for termspace/termends
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 10670
% 8.77/9.15 Kept: 2010
% 8.77/9.15 Inuse: 370
% 8.77/9.15 Deleted: 103
% 8.77/9.15 Deletedinuse: 29
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 *** allocated 50625 integers for termspace/termends
% 8.77/9.15 *** allocated 170857 integers for clauses
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 *** allocated 75937 integers for termspace/termends
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 23090
% 8.77/9.15 Kept: 4011
% 8.77/9.15 Inuse: 543
% 8.77/9.15 Deleted: 186
% 8.77/9.15 Deletedinuse: 31
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 *** allocated 256285 integers for clauses
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 *** allocated 113905 integers for termspace/termends
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 37646
% 8.77/9.15 Kept: 6081
% 8.77/9.15 Inuse: 776
% 8.77/9.15 Deleted: 348
% 8.77/9.15 Deletedinuse: 83
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 *** allocated 384427 integers for clauses
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 46616
% 8.77/9.15 Kept: 8087
% 8.77/9.15 Inuse: 859
% 8.77/9.15 Deleted: 364
% 8.77/9.15 Deletedinuse: 91
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 *** allocated 170857 integers for termspace/termends
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 56641
% 8.77/9.15 Kept: 10112
% 8.77/9.15 Inuse: 933
% 8.77/9.15 Deleted: 370
% 8.77/9.15 Deletedinuse: 97
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 *** allocated 576640 integers for clauses
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 *** allocated 256285 integers for termspace/termends
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 69782
% 8.77/9.15 Kept: 12140
% 8.77/9.15 Inuse: 1036
% 8.77/9.15 Deleted: 376
% 8.77/9.15 Deletedinuse: 101
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 86664
% 8.77/9.15 Kept: 14166
% 8.77/9.15 Inuse: 1143
% 8.77/9.15 Deleted: 385
% 8.77/9.15 Deletedinuse: 107
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 *** allocated 864960 integers for clauses
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 93909
% 8.77/9.15 Kept: 16193
% 8.77/9.15 Inuse: 1192
% 8.77/9.15 Deleted: 392
% 8.77/9.15 Deletedinuse: 107
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 *** allocated 384427 integers for termspace/termends
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 102131
% 8.77/9.15 Kept: 18200
% 8.77/9.15 Inuse: 1267
% 8.77/9.15 Deleted: 395
% 8.77/9.15 Deletedinuse: 108
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 Resimplifying clauses:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 105693
% 8.77/9.15 Kept: 20223
% 8.77/9.15 Inuse: 1288
% 8.77/9.15 Deleted: 3642
% 8.77/9.15 Deletedinuse: 114
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 113746
% 8.77/9.15 Kept: 22246
% 8.77/9.15 Inuse: 1340
% 8.77/9.15 Deleted: 3654
% 8.77/9.15 Deletedinuse: 126
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 *** allocated 1297440 integers for clauses
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 128221
% 8.77/9.15 Kept: 24256
% 8.77/9.15 Inuse: 1449
% 8.77/9.15 Deleted: 3669
% 8.77/9.15 Deletedinuse: 135
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 152361
% 8.77/9.15 Kept: 26259
% 8.77/9.15 Inuse: 1610
% 8.77/9.15 Deleted: 3690
% 8.77/9.15 Deletedinuse: 153
% 8.77/9.15
% 8.77/9.15 *** allocated 576640 integers for termspace/termends
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 163737
% 8.77/9.15 Kept: 28570
% 8.77/9.15 Inuse: 1660
% 8.77/9.15 Deleted: 3692
% 8.77/9.15 Deletedinuse: 155
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 176495
% 8.77/9.15 Kept: 30592
% 8.77/9.15 Inuse: 1701
% 8.77/9.15 Deleted: 3701
% 8.77/9.15 Deletedinuse: 155
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 188736
% 8.77/9.15 Kept: 32690
% 8.77/9.15 Inuse: 1723
% 8.77/9.15 Deleted: 3719
% 8.77/9.15 Deletedinuse: 155
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15 *** allocated 1946160 integers for clauses
% 8.77/9.15
% 8.77/9.15 Intermediate Status:
% 8.77/9.15 Generated: 203361
% 8.77/9.15 Kept: 34715
% 8.77/9.15 Inuse: 1783
% 8.77/9.15 Deleted: 3731
% 8.77/9.15 Deletedinuse: 157
% 8.77/9.15
% 8.77/9.15 Resimplifying inuse:
% 8.77/9.15 Done
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Bliksems!, er is een bewijs:
% 8.77/9.15 % SZS status Theorem
% 8.77/9.15 % SZS output start Refutation
% 8.77/9.15
% 8.77/9.15 (0) {G0,W9,D3,L2,V1,M2} I { alpha4( skol1, X, skol6( X ) ), alpha2( skol1,
% 8.77/9.15 skol6( X ) ) }.
% 8.77/9.15 (1) {G0,W9,D3,L2,V1,M2} I { alpha4( skol1, X, skol6( X ) ), ! in( skol6( X
% 8.77/9.15 ), X ) }.
% 8.77/9.15 (2) {G0,W7,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ), in( Z, Y ) }.
% 8.77/9.15 (3) {G0,W9,D2,L3,V3,M3} I { ! alpha4( X, Y, Z ), ! in( Z, X ), ! ordinal( Z
% 8.77/9.15 ) }.
% 8.77/9.15 (4) {G0,W10,D2,L3,V3,M3} I { ! in( Z, Y ), in( Z, X ), alpha4( X, Y, Z )
% 8.77/9.15 }.
% 8.77/9.15 (6) {G0,W6,D2,L2,V2,M2} I { ! alpha2( X, Y ), in( Y, X ) }.
% 8.77/9.15 (7) {G0,W5,D2,L2,V2,M2} I { ! alpha2( X, Y ), ordinal( Y ) }.
% 8.77/9.15 (8) {G0,W8,D2,L3,V2,M3} I { ! in( Y, X ), ! ordinal( Y ), alpha2( X, Y )
% 8.77/9.15 }.
% 8.77/9.15 (16) {G0,W10,D3,L3,V3,M3} I { alpha3, ! in( Y, skol3( X ) ), alpha1( Y,
% 8.77/9.15 skol7( Z, Y ) ) }.
% 8.77/9.15 (17) {G0,W10,D3,L3,V2,M3} I { alpha3, ! in( Y, skol3( X ) ), in( skol7( X,
% 8.77/9.15 Y ), X ) }.
% 8.77/9.15 (18) {G0,W11,D3,L4,V3,M4} I { alpha3, ! in( Z, X ), ! alpha1( Y, Z ), in( Y
% 8.77/9.15 , skol3( X ) ) }.
% 8.77/9.15 (19) {G0,W4,D2,L2,V0,M2} I { ! alpha3, alpha5( skol4, skol8 ) }.
% 8.77/9.15 (20) {G0,W4,D2,L2,V0,M2} I { ! alpha3, ! skol8 ==> skol4 }.
% 8.77/9.15 (22) {G0,W8,D3,L2,V3,M2} I { ! alpha5( X, Y ), skol5( Z, Y ) ==> Y }.
% 8.77/9.15 (23) {G0,W5,D2,L2,V2,M2} I { ! alpha5( X, Y ), ordinal( Y ) }.
% 8.77/9.15 (24) {G0,W8,D3,L2,V2,M2} I { ! alpha5( X, Y ), alpha6( X, skol5( X, Y ) )
% 8.77/9.15 }.
% 8.77/9.15 (25) {G0,W11,D2,L4,V3,M4} I { ! alpha6( X, Z ), ! Z = Y, ! ordinal( Y ),
% 8.77/9.15 alpha5( X, Y ) }.
% 8.77/9.15 (26) {G0,W6,D2,L2,V2,M2} I { ! alpha6( X, Y ), Y = X }.
% 8.77/9.15 (27) {G0,W5,D2,L2,V2,M2} I { ! alpha6( X, Y ), ordinal( X ) }.
% 8.77/9.15 (28) {G0,W8,D2,L3,V2,M3} I { ! Y = X, ! ordinal( X ), alpha6( X, Y ) }.
% 8.77/9.15 (29) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), Y = X }.
% 8.77/9.15 (30) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ordinal( X ) }.
% 8.77/9.15 (31) {G0,W8,D2,L3,V2,M3} I { ! Y = X, ! ordinal( X ), alpha1( X, Y ) }.
% 8.77/9.15 (34) {G1,W5,D2,L2,V1,M2} Q(28) { ! ordinal( X ), alpha6( X, X ) }.
% 8.77/9.15 (35) {G1,W5,D2,L2,V1,M2} Q(31) { ! ordinal( X ), alpha1( X, X ) }.
% 8.77/9.15 (41) {G1,W8,D3,L2,V1,M2} R(2,0) { in( skol6( X ), X ), alpha2( skol1, skol6
% 8.77/9.15 ( X ) ) }.
% 8.77/9.15 (52) {G1,W11,D3,L3,V1,M3} R(3,1) { ! in( skol6( X ), skol1 ), ! ordinal(
% 8.77/9.15 skol6( X ) ), ! in( skol6( X ), X ) }.
% 8.77/9.15 (53) {G1,W10,D2,L3,V4,M3} R(3,30) { ! alpha4( X, Y, Z ), ! in( Z, X ), !
% 8.77/9.15 alpha1( Z, T ) }.
% 8.77/9.15 (68) {G2,W6,D2,L2,V2,M2} R(35,7) { alpha1( X, X ), ! alpha2( Y, X ) }.
% 8.77/9.15 (87) {G1,W10,D2,L3,V3,M3} R(6,4) { ! alpha2( X, Y ), in( Y, Z ), alpha4( Z
% 8.77/9.15 , X, Y ) }.
% 8.77/9.15 (97) {G1,W9,D2,L3,V3,M3} R(8,23) { ! in( X, Y ), alpha2( Y, X ), ! alpha5(
% 8.77/9.15 Z, X ) }.
% 8.77/9.15 (202) {G1,W7,D2,L3,V1,M3} P(26,20) { ! alpha3, ! X = skol4, ! alpha6( X,
% 8.77/9.15 skol8 ) }.
% 8.77/9.15 (208) {G2,W4,D2,L2,V0,M2} Q(202) { ! alpha3, ! alpha6( skol4, skol8 ) }.
% 8.77/9.15 (292) {G1,W6,D3,L2,V1,M2} R(22,19) { skol5( X, skol8 ) ==> skol8, ! alpha3
% 8.77/9.15 }.
% 8.77/9.15 (341) {G1,W5,D2,L2,V2,M2} R(24,27) { ! alpha5( X, Y ), ordinal( X ) }.
% 8.77/9.15 (342) {G3,W1,D1,L1,V0,M1} R(24,19);d(292);r(208) { ! alpha3 }.
% 8.77/9.15 (344) {G4,W10,D3,L3,V3,M3} R(342,18) { ! in( X, Y ), ! alpha1( Z, X ), in(
% 8.77/9.15 Z, skol3( Y ) ) }.
% 8.77/9.15 (345) {G4,W9,D3,L2,V2,M2} R(342,17) { ! in( X, skol3( Y ) ), in( skol7( Y,
% 8.77/9.15 X ), Y ) }.
% 8.77/9.15 (346) {G4,W9,D3,L2,V3,M2} R(342,16) { ! in( X, skol3( Y ) ), alpha1( X,
% 8.77/9.15 skol7( Z, X ) ) }.
% 8.77/9.15 (368) {G2,W10,D2,L4,V2,M4} R(25,34) { ! X = Y, ! ordinal( Y ), alpha5( X, Y
% 8.77/9.15 ), ! ordinal( X ) }.
% 8.77/9.15 (382) {G3,W5,D2,L2,V1,M2} F(368);q { ! ordinal( X ), alpha5( X, X ) }.
% 8.77/9.15 (402) {G4,W6,D2,L2,V2,M2} R(382,30) { alpha5( X, X ), ! alpha1( X, Y ) }.
% 8.77/9.15 (450) {G4,W12,D3,L4,V3,M4} R(31,18);r(342) { ! X = Y, ! ordinal( Y ), ! in
% 8.77/9.15 ( X, Z ), in( Y, skol3( Z ) ) }.
% 8.77/9.15 (455) {G1,W9,D2,L3,V3,M3} R(31,7) { ! X = Y, alpha1( Y, X ), ! alpha2( Z, Y
% 8.77/9.15 ) }.
% 8.77/9.15 (469) {G5,W7,D3,L2,V2,M2} R(402,16);r(342) { alpha5( X, X ), ! in( X, skol3
% 8.77/9.15 ( Y ) ) }.
% 8.77/9.15 (504) {G3,W9,D3,L2,V1,M2} R(41,68) { in( skol6( X ), X ), alpha1( skol6( X
% 8.77/9.15 ), skol6( X ) ) }.
% 8.77/9.15 (507) {G2,W8,D3,L2,V1,M2} R(41,6) { in( skol6( X ), X ), in( skol6( X ),
% 8.77/9.15 skol1 ) }.
% 8.77/9.15 (722) {G4,W14,D3,L4,V5,M4} R(53,18);r(342) { ! alpha4( skol3( X ), Y, Z ),
% 8.77/9.15 ! alpha1( Z, T ), ! in( U, X ), ! alpha1( Z, U ) }.
% 8.77/9.15 (728) {G5,W11,D3,L3,V4,M3} F(722) { ! alpha4( skol3( X ), Y, Z ), ! alpha1
% 8.77/9.15 ( Z, T ), ! in( T, X ) }.
% 8.77/9.15 (1129) {G6,W10,D3,L3,V3,M3} R(469,97) { ! in( X, skol3( Y ) ), ! in( X, Z )
% 8.77/9.15 , alpha2( Z, X ) }.
% 8.77/9.15 (1138) {G6,W6,D3,L2,V2,M2} R(469,341) { ! in( X, skol3( Y ) ), ordinal( X )
% 8.77/9.15 }.
% 8.77/9.15 (1150) {G7,W8,D3,L2,V2,M2} F(1129) { ! in( X, skol3( Y ) ), alpha2( skol3(
% 8.77/9.15 Y ), X ) }.
% 8.77/9.15 (1157) {G7,W4,D4,L1,V1,M1} R(1138,41);r(7) { ordinal( skol6( skol3( X ) ) )
% 8.77/9.15 }.
% 8.77/9.15 (1189) {G8,W7,D4,L1,V1,M1} R(1157,35) { alpha1( skol6( skol3( X ) ), skol6
% 8.77/9.15 ( skol3( X ) ) ) }.
% 8.77/9.15 (6564) {G5,W12,D3,L3,V2,M3} R(344,507) { ! alpha1( X, skol6( Y ) ), in( X,
% 8.77/9.15 skol3( skol1 ) ), in( skol6( Y ), Y ) }.
% 8.77/9.15 (6631) {G8,W13,D4,L3,V2,M3} R(344,52);r(1157) { ! in( X, Y ), ! alpha1(
% 8.77/9.15 skol6( skol3( Y ) ), X ), ! in( skol6( skol3( Y ) ), skol1 ) }.
% 8.77/9.15 (6632) {G9,W5,D4,L1,V0,M1} F(6631);r(1189) { ! in( skol6( skol3( skol1 ) )
% 8.77/9.15 , skol1 ) }.
% 8.77/9.15 (6637) {G6,W6,D4,L1,V0,M1} F(6564);r(504) { in( skol6( skol3( skol1 ) ),
% 8.77/9.15 skol3( skol1 ) ) }.
% 8.77/9.15 (6751) {G7,W7,D5,L1,V0,M1} R(6637,345) { in( skol7( skol1, skol6( skol3(
% 8.77/9.15 skol1 ) ) ), skol1 ) }.
% 8.77/9.15 (12828) {G7,W12,D4,L3,V1,M3} R(450,6637) { ! skol6( skol3( skol1 ) ) = X, !
% 8.77/9.15 ordinal( X ), in( X, skol3( skol3( skol1 ) ) ) }.
% 8.77/9.15 (12953) {G8,W7,D4,L1,V0,M1} Q(12828);r(1157) { in( skol6( skol3( skol1 ) )
% 8.77/9.15 , skol3( skol3( skol1 ) ) ) }.
% 8.77/9.15 (12967) {G9,W7,D4,L1,V0,M1} R(12953,1150) { alpha2( skol3( skol3( skol1 ) )
% 8.77/9.15 , skol6( skol3( skol1 ) ) ) }.
% 8.77/9.15 (35138) {G6,W12,D3,L3,V5,M3} R(728,2) { ! alpha4( skol3( X ), Y, Z ), !
% 8.77/9.15 alpha1( Z, T ), ! alpha4( U, X, T ) }.
% 8.77/9.15 (35139) {G7,W8,D3,L2,V2,M2} F(35138) { ! alpha4( skol3( X ), X, Y ), !
% 8.77/9.15 alpha1( Y, Y ) }.
% 8.77/9.15 (35169) {G8,W8,D3,L2,V3,M2} R(35139,455);q { ! alpha4( skol3( X ), X, Y ),
% 8.77/9.15 ! alpha2( Z, Y ) }.
% 8.77/9.15 (35280) {G9,W10,D3,L3,V3,M3} R(35169,87) { ! alpha2( X, Y ), ! alpha2( Z, Y
% 8.77/9.15 ), in( Y, skol3( Z ) ) }.
% 8.77/9.15 (35284) {G10,W7,D3,L2,V2,M2} F(35280) { ! alpha2( X, Y ), in( Y, skol3( X )
% 8.77/9.15 ) }.
% 8.77/9.15 (35453) {G11,W8,D3,L2,V3,M2} R(35284,346) { ! alpha2( X, Y ), alpha1( Y,
% 8.77/9.15 skol7( Z, Y ) ) }.
% 8.77/9.15 (36010) {G12,W8,D3,L2,V3,M2} R(35453,29) { ! alpha2( X, Y ), skol7( Z, Y )
% 8.77/9.15 ==> Y }.
% 8.77/9.15 (36152) {G13,W5,D4,L1,V1,M1} P(36010,6751);r(6632) { ! alpha2( X, skol6(
% 8.77/9.15 skol3( skol1 ) ) ) }.
% 8.77/9.15 (36166) {G14,W0,D0,L0,V0,M0} R(36152,12967) { }.
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 % SZS output end Refutation
% 8.77/9.15 found a proof!
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Unprocessed initial clauses:
% 8.77/9.15
% 8.77/9.15 (36168) {G0,W9,D3,L2,V1,M2} { alpha4( skol1, X, skol6( X ) ), alpha2(
% 8.77/9.15 skol1, skol6( X ) ) }.
% 8.77/9.15 (36169) {G0,W9,D3,L2,V1,M2} { alpha4( skol1, X, skol6( X ) ), ! in( skol6
% 8.77/9.15 ( X ), X ) }.
% 8.77/9.15 (36170) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), in( Z, Y ) }.
% 8.77/9.15 (36171) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y, Z ), ! in( Z, X ), ! ordinal
% 8.77/9.15 ( Z ) }.
% 8.77/9.15 (36172) {G0,W10,D2,L3,V3,M3} { ! in( Z, Y ), in( Z, X ), alpha4( X, Y, Z )
% 8.77/9.15 }.
% 8.77/9.15 (36173) {G0,W9,D2,L3,V3,M3} { ! in( Z, Y ), ordinal( Z ), alpha4( X, Y, Z
% 8.77/9.15 ) }.
% 8.77/9.15 (36174) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), in( Y, X ) }.
% 8.77/9.15 (36175) {G0,W5,D2,L2,V2,M2} { ! alpha2( X, Y ), ordinal( Y ) }.
% 8.77/9.15 (36176) {G0,W8,D2,L3,V2,M3} { ! in( Y, X ), ! ordinal( Y ), alpha2( X, Y )
% 8.77/9.15 }.
% 8.77/9.15 (36177) {G0,W6,D2,L3,V1,M3} { ! epsilon_transitive( X ), !
% 8.77/9.15 epsilon_connected( X ), ordinal( X ) }.
% 8.77/9.15 (36178) {G0,W2,D2,L1,V0,M1} { epsilon_transitive( skol2 ) }.
% 8.77/9.15 (36179) {G0,W2,D2,L1,V0,M1} { epsilon_connected( skol2 ) }.
% 8.77/9.15 (36180) {G0,W2,D2,L1,V0,M1} { ordinal( skol2 ) }.
% 8.77/9.15 (36181) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 8.77/9.15 (36182) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_transitive( X ) }.
% 8.77/9.15 (36183) {G0,W4,D2,L2,V1,M2} { ! ordinal( X ), epsilon_connected( X ) }.
% 8.77/9.15 (36184) {G0,W10,D3,L3,V3,M3} { alpha3, ! in( Y, skol3( X ) ), alpha1( Y,
% 8.77/9.15 skol7( Z, Y ) ) }.
% 8.77/9.15 (36185) {G0,W10,D3,L3,V2,M3} { alpha3, ! in( Y, skol3( X ) ), in( skol7( X
% 8.77/9.15 , Y ), X ) }.
% 8.77/9.15 (36186) {G0,W11,D3,L4,V3,M4} { alpha3, ! in( Z, X ), ! alpha1( Y, Z ), in
% 8.77/9.15 ( Y, skol3( X ) ) }.
% 8.77/9.15 (36187) {G0,W4,D2,L2,V0,M2} { ! alpha3, alpha5( skol4, skol8 ) }.
% 8.77/9.15 (36188) {G0,W4,D2,L2,V0,M2} { ! alpha3, ! skol4 = skol8 }.
% 8.77/9.15 (36189) {G0,W7,D2,L3,V2,M3} { ! alpha5( X, Y ), X = Y, alpha3 }.
% 8.77/9.15 (36190) {G0,W8,D3,L2,V3,M2} { ! alpha5( X, Y ), skol5( Z, Y ) = Y }.
% 8.77/9.15 (36191) {G0,W5,D2,L2,V2,M2} { ! alpha5( X, Y ), ordinal( Y ) }.
% 8.77/9.15 (36192) {G0,W8,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha6( X, skol5( X, Y ) )
% 8.77/9.15 }.
% 8.77/9.15 (36193) {G0,W11,D2,L4,V3,M4} { ! alpha6( X, Z ), ! Z = Y, ! ordinal( Y ),
% 8.77/9.15 alpha5( X, Y ) }.
% 8.77/9.15 (36194) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), Y = X }.
% 8.77/9.15 (36195) {G0,W5,D2,L2,V2,M2} { ! alpha6( X, Y ), ordinal( X ) }.
% 8.77/9.15 (36196) {G0,W8,D2,L3,V2,M3} { ! Y = X, ! ordinal( X ), alpha6( X, Y ) }.
% 8.77/9.15 (36197) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), Y = X }.
% 8.77/9.15 (36198) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ordinal( X ) }.
% 8.77/9.15 (36199) {G0,W8,D2,L3,V2,M3} { ! Y = X, ! ordinal( X ), alpha1( X, Y ) }.
% 8.77/9.15
% 8.77/9.15
% 8.77/9.15 Total Proof:
% 8.77/9.15
% 8.77/9.15 subsumption: (0) {G0,W9,D3,L2,V1,M2} I { alpha4( skol1, X, skol6( X ) ),
% 8.77/9.15 alpha2( skol1, skol6( X ) ) }.
% 8.77/9.15 parent0: (36168) {G0,W9,D3,L2,V1,M2} { alpha4( skol1, X, skol6( X ) ),
% 8.77/9.15 alpha2( skol1, skol6( X ) ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (1) {G0,W9,D3,L2,V1,M2} I { alpha4( skol1, X, skol6( X ) ), !
% 8.77/9.15 in( skol6( X ), X ) }.
% 8.77/9.15 parent0: (36169) {G0,W9,D3,L2,V1,M2} { alpha4( skol1, X, skol6( X ) ), !
% 8.77/9.15 in( skol6( X ), X ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (2) {G0,W7,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ), in( Z, Y )
% 8.77/9.15 }.
% 8.77/9.15 parent0: (36170) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), in( Z, Y ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 Z := Z
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { ! alpha4( X, Y, Z ), ! in( Z, X )
% 8.77/9.15 , ! ordinal( Z ) }.
% 8.77/9.15 parent0: (36171) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y, Z ), ! in( Z, X ),
% 8.77/9.15 ! ordinal( Z ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 Z := Z
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 2 ==> 2
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (4) {G0,W10,D2,L3,V3,M3} I { ! in( Z, Y ), in( Z, X ), alpha4
% 8.77/9.15 ( X, Y, Z ) }.
% 8.77/9.15 parent0: (36172) {G0,W10,D2,L3,V3,M3} { ! in( Z, Y ), in( Z, X ), alpha4(
% 8.77/9.15 X, Y, Z ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 Z := Z
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 2 ==> 2
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (6) {G0,W6,D2,L2,V2,M2} I { ! alpha2( X, Y ), in( Y, X ) }.
% 8.77/9.15 parent0: (36174) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), in( Y, X ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (7) {G0,W5,D2,L2,V2,M2} I { ! alpha2( X, Y ), ordinal( Y ) }.
% 8.77/9.15 parent0: (36175) {G0,W5,D2,L2,V2,M2} { ! alpha2( X, Y ), ordinal( Y ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (8) {G0,W8,D2,L3,V2,M3} I { ! in( Y, X ), ! ordinal( Y ),
% 8.77/9.15 alpha2( X, Y ) }.
% 8.77/9.15 parent0: (36176) {G0,W8,D2,L3,V2,M3} { ! in( Y, X ), ! ordinal( Y ),
% 8.77/9.15 alpha2( X, Y ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 2 ==> 2
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (16) {G0,W10,D3,L3,V3,M3} I { alpha3, ! in( Y, skol3( X ) ),
% 8.77/9.15 alpha1( Y, skol7( Z, Y ) ) }.
% 8.77/9.15 parent0: (36184) {G0,W10,D3,L3,V3,M3} { alpha3, ! in( Y, skol3( X ) ),
% 8.77/9.15 alpha1( Y, skol7( Z, Y ) ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 Z := Z
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 2 ==> 2
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (17) {G0,W10,D3,L3,V2,M3} I { alpha3, ! in( Y, skol3( X ) ),
% 8.77/9.15 in( skol7( X, Y ), X ) }.
% 8.77/9.15 parent0: (36185) {G0,W10,D3,L3,V2,M3} { alpha3, ! in( Y, skol3( X ) ), in
% 8.77/9.15 ( skol7( X, Y ), X ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 2 ==> 2
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (18) {G0,W11,D3,L4,V3,M4} I { alpha3, ! in( Z, X ), ! alpha1(
% 8.77/9.15 Y, Z ), in( Y, skol3( X ) ) }.
% 8.77/9.15 parent0: (36186) {G0,W11,D3,L4,V3,M4} { alpha3, ! in( Z, X ), ! alpha1( Y
% 8.77/9.15 , Z ), in( Y, skol3( X ) ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 Z := Z
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 2 ==> 2
% 8.77/9.15 3 ==> 3
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (19) {G0,W4,D2,L2,V0,M2} I { ! alpha3, alpha5( skol4, skol8 )
% 8.77/9.15 }.
% 8.77/9.15 parent0: (36187) {G0,W4,D2,L2,V0,M2} { ! alpha3, alpha5( skol4, skol8 )
% 8.77/9.15 }.
% 8.77/9.15 substitution0:
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 eqswap: (36205) {G0,W4,D2,L2,V0,M2} { ! skol8 = skol4, ! alpha3 }.
% 8.77/9.15 parent0[1]: (36188) {G0,W4,D2,L2,V0,M2} { ! alpha3, ! skol4 = skol8 }.
% 8.77/9.15 substitution0:
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (20) {G0,W4,D2,L2,V0,M2} I { ! alpha3, ! skol8 ==> skol4 }.
% 8.77/9.15 parent0: (36205) {G0,W4,D2,L2,V0,M2} { ! skol8 = skol4, ! alpha3 }.
% 8.77/9.15 substitution0:
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 1
% 8.77/9.15 1 ==> 0
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (22) {G0,W8,D3,L2,V3,M2} I { ! alpha5( X, Y ), skol5( Z, Y )
% 8.77/9.15 ==> Y }.
% 8.77/9.15 parent0: (36190) {G0,W8,D3,L2,V3,M2} { ! alpha5( X, Y ), skol5( Z, Y ) = Y
% 8.77/9.15 }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 Z := Z
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (23) {G0,W5,D2,L2,V2,M2} I { ! alpha5( X, Y ), ordinal( Y )
% 8.77/9.15 }.
% 8.77/9.15 parent0: (36191) {G0,W5,D2,L2,V2,M2} { ! alpha5( X, Y ), ordinal( Y ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (24) {G0,W8,D3,L2,V2,M2} I { ! alpha5( X, Y ), alpha6( X,
% 8.77/9.15 skol5( X, Y ) ) }.
% 8.77/9.15 parent0: (36192) {G0,W8,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha6( X, skol5
% 8.77/9.15 ( X, Y ) ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (25) {G0,W11,D2,L4,V3,M4} I { ! alpha6( X, Z ), ! Z = Y, !
% 8.77/9.15 ordinal( Y ), alpha5( X, Y ) }.
% 8.77/9.15 parent0: (36193) {G0,W11,D2,L4,V3,M4} { ! alpha6( X, Z ), ! Z = Y, !
% 8.77/9.15 ordinal( Y ), alpha5( X, Y ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 Z := Z
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 2 ==> 2
% 8.77/9.15 3 ==> 3
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (26) {G0,W6,D2,L2,V2,M2} I { ! alpha6( X, Y ), Y = X }.
% 8.77/9.15 parent0: (36194) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), Y = X }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (27) {G0,W5,D2,L2,V2,M2} I { ! alpha6( X, Y ), ordinal( X )
% 8.77/9.15 }.
% 8.77/9.15 parent0: (36195) {G0,W5,D2,L2,V2,M2} { ! alpha6( X, Y ), ordinal( X ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (28) {G0,W8,D2,L3,V2,M3} I { ! Y = X, ! ordinal( X ), alpha6(
% 8.77/9.15 X, Y ) }.
% 8.77/9.15 parent0: (36196) {G0,W8,D2,L3,V2,M3} { ! Y = X, ! ordinal( X ), alpha6( X
% 8.77/9.15 , Y ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 2 ==> 2
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (29) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), Y = X }.
% 8.77/9.15 parent0: (36197) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), Y = X }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (30) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ordinal( X )
% 8.77/9.15 }.
% 8.77/9.15 parent0: (36198) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ordinal( X ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (31) {G0,W8,D2,L3,V2,M3} I { ! Y = X, ! ordinal( X ), alpha1(
% 8.77/9.15 X, Y ) }.
% 8.77/9.15 parent0: (36199) {G0,W8,D2,L3,V2,M3} { ! Y = X, ! ordinal( X ), alpha1( X
% 8.77/9.15 , Y ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := Y
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 2 ==> 2
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 eqswap: (36267) {G0,W8,D2,L3,V2,M3} { ! Y = X, ! ordinal( Y ), alpha6( Y,
% 8.77/9.15 X ) }.
% 8.77/9.15 parent0[0]: (28) {G0,W8,D2,L3,V2,M3} I { ! Y = X, ! ordinal( X ), alpha6( X
% 8.77/9.15 , Y ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := Y
% 8.77/9.15 Y := X
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 eqrefl: (36268) {G0,W5,D2,L2,V1,M2} { ! ordinal( X ), alpha6( X, X ) }.
% 8.77/9.15 parent0[0]: (36267) {G0,W8,D2,L3,V2,M3} { ! Y = X, ! ordinal( Y ), alpha6
% 8.77/9.15 ( Y, X ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := X
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (34) {G1,W5,D2,L2,V1,M2} Q(28) { ! ordinal( X ), alpha6( X, X
% 8.77/9.15 ) }.
% 8.77/9.15 parent0: (36268) {G0,W5,D2,L2,V1,M2} { ! ordinal( X ), alpha6( X, X ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 eqswap: (36269) {G0,W8,D2,L3,V2,M3} { ! Y = X, ! ordinal( Y ), alpha1( Y,
% 8.77/9.15 X ) }.
% 8.77/9.15 parent0[0]: (31) {G0,W8,D2,L3,V2,M3} I { ! Y = X, ! ordinal( X ), alpha1( X
% 8.77/9.15 , Y ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := Y
% 8.77/9.15 Y := X
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 eqrefl: (36270) {G0,W5,D2,L2,V1,M2} { ! ordinal( X ), alpha1( X, X ) }.
% 8.77/9.15 parent0[0]: (36269) {G0,W8,D2,L3,V2,M3} { ! Y = X, ! ordinal( Y ), alpha1
% 8.77/9.15 ( Y, X ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 Y := X
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (35) {G1,W5,D2,L2,V1,M2} Q(31) { ! ordinal( X ), alpha1( X, X
% 8.77/9.15 ) }.
% 8.77/9.15 parent0: (36270) {G0,W5,D2,L2,V1,M2} { ! ordinal( X ), alpha1( X, X ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := X
% 8.77/9.15 end
% 8.77/9.15 permutation0:
% 8.77/9.15 0 ==> 0
% 8.77/9.15 1 ==> 1
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 resolution: (36271) {G1,W8,D3,L2,V1,M2} { in( skol6( X ), X ), alpha2(
% 8.77/9.15 skol1, skol6( X ) ) }.
% 8.77/9.15 parent0[0]: (2) {G0,W7,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ), in( Z, Y ) }.
% 8.77/9.15 parent1[0]: (0) {G0,W9,D3,L2,V1,M2} I { alpha4( skol1, X, skol6( X ) ),
% 8.77/9.15 alpha2( skol1, skol6( X ) ) }.
% 8.77/9.15 substitution0:
% 8.77/9.15 X := skol1
% 8.77/9.15 Y := X
% 8.77/9.15 Z := skol6( X )
% 8.77/9.15 end
% 8.77/9.15 substitution1:
% 8.77/9.15 X := X
% 8.77/9.15 end
% 8.77/9.15
% 8.77/9.15 subsumption: (41) {G1,W8,D3,L2,V1,M2} R(2,0) { in( skol6( X ), X ), alpha2
% 8.77/9.15 ( skol1, skol6( X ) ) }.
% 8.77/9.15 parent0: (36271) {G1,W8,D3,L2,V1,M2} { in( skol6( X ), X ), alpha2( skol1
% 261.92/262.35 , skol6( X ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (36272) {G1,W11,D3,L3,V1,M3} { ! in( skol6( X ), skol1 ), !
% 261.92/262.35 ordinal( skol6( X ) ), ! in( skol6( X ), X ) }.
% 261.92/262.35 parent0[0]: (3) {G0,W9,D2,L3,V3,M3} I { ! alpha4( X, Y, Z ), ! in( Z, X ),
% 261.92/262.35 ! ordinal( Z ) }.
% 261.92/262.35 parent1[0]: (1) {G0,W9,D3,L2,V1,M2} I { alpha4( skol1, X, skol6( X ) ), !
% 261.92/262.35 in( skol6( X ), X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol1
% 261.92/262.35 Y := X
% 261.92/262.35 Z := skol6( X )
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (52) {G1,W11,D3,L3,V1,M3} R(3,1) { ! in( skol6( X ), skol1 ),
% 261.92/262.35 ! ordinal( skol6( X ) ), ! in( skol6( X ), X ) }.
% 261.92/262.35 parent0: (36272) {G1,W11,D3,L3,V1,M3} { ! in( skol6( X ), skol1 ), !
% 261.92/262.35 ordinal( skol6( X ) ), ! in( skol6( X ), X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 2 ==> 2
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (36274) {G1,W10,D2,L3,V4,M3} { ! alpha4( X, Y, Z ), ! in( Z, X
% 261.92/262.35 ), ! alpha1( Z, T ) }.
% 261.92/262.35 parent0[2]: (3) {G0,W9,D2,L3,V3,M3} I { ! alpha4( X, Y, Z ), ! in( Z, X ),
% 261.92/262.35 ! ordinal( Z ) }.
% 261.92/262.35 parent1[1]: (30) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ordinal( X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := Z
% 261.92/262.35 Y := T
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (53) {G1,W10,D2,L3,V4,M3} R(3,30) { ! alpha4( X, Y, Z ), ! in
% 261.92/262.35 ( Z, X ), ! alpha1( Z, T ) }.
% 261.92/262.35 parent0: (36274) {G1,W10,D2,L3,V4,M3} { ! alpha4( X, Y, Z ), ! in( Z, X )
% 261.92/262.35 , ! alpha1( Z, T ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 T := T
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 2 ==> 2
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (36275) {G1,W6,D2,L2,V2,M2} { alpha1( X, X ), ! alpha2( Y, X )
% 261.92/262.35 }.
% 261.92/262.35 parent0[0]: (35) {G1,W5,D2,L2,V1,M2} Q(31) { ! ordinal( X ), alpha1( X, X )
% 261.92/262.35 }.
% 261.92/262.35 parent1[1]: (7) {G0,W5,D2,L2,V2,M2} I { ! alpha2( X, Y ), ordinal( Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (68) {G2,W6,D2,L2,V2,M2} R(35,7) { alpha1( X, X ), ! alpha2( Y
% 261.92/262.35 , X ) }.
% 261.92/262.35 parent0: (36275) {G1,W6,D2,L2,V2,M2} { alpha1( X, X ), ! alpha2( Y, X )
% 261.92/262.35 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (36276) {G1,W10,D2,L3,V3,M3} { in( X, Z ), alpha4( Z, Y, X ),
% 261.92/262.35 ! alpha2( Y, X ) }.
% 261.92/262.35 parent0[0]: (4) {G0,W10,D2,L3,V3,M3} I { ! in( Z, Y ), in( Z, X ), alpha4(
% 261.92/262.35 X, Y, Z ) }.
% 261.92/262.35 parent1[1]: (6) {G0,W6,D2,L2,V2,M2} I { ! alpha2( X, Y ), in( Y, X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Z
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := X
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (87) {G1,W10,D2,L3,V3,M3} R(6,4) { ! alpha2( X, Y ), in( Y, Z
% 261.92/262.35 ), alpha4( Z, X, Y ) }.
% 261.92/262.35 parent0: (36276) {G1,W10,D2,L3,V3,M3} { in( X, Z ), alpha4( Z, Y, X ), !
% 261.92/262.35 alpha2( Y, X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 1
% 261.92/262.35 1 ==> 2
% 261.92/262.35 2 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (36277) {G1,W9,D2,L3,V3,M3} { ! in( X, Y ), alpha2( Y, X ), !
% 261.92/262.35 alpha5( Z, X ) }.
% 261.92/262.35 parent0[1]: (8) {G0,W8,D2,L3,V2,M3} I { ! in( Y, X ), ! ordinal( Y ),
% 261.92/262.35 alpha2( X, Y ) }.
% 261.92/262.35 parent1[1]: (23) {G0,W5,D2,L2,V2,M2} I { ! alpha5( X, Y ), ordinal( Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := Z
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (97) {G1,W9,D2,L3,V3,M3} R(8,23) { ! in( X, Y ), alpha2( Y, X
% 261.92/262.35 ), ! alpha5( Z, X ) }.
% 261.92/262.35 parent0: (36277) {G1,W9,D2,L3,V3,M3} { ! in( X, Y ), alpha2( Y, X ), !
% 261.92/262.35 alpha5( Z, X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 2 ==> 2
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 *** allocated 15000 integers for justifications
% 261.92/262.35 *** allocated 22500 integers for justifications
% 261.92/262.35 *** allocated 33750 integers for justifications
% 261.92/262.35 *** allocated 50625 integers for justifications
% 261.92/262.35 *** allocated 864960 integers for termspace/termends
% 261.92/262.35 *** allocated 75937 integers for justifications
% 261.92/262.35 *** allocated 113905 integers for justifications
% 261.92/262.35 *** allocated 170857 integers for justifications
% 261.92/262.35 *** allocated 256285 integers for justifications
% 261.92/262.35 *** allocated 384427 integers for justifications
% 261.92/262.35 *** allocated 1297440 integers for termspace/termends
% 261.92/262.35 *** allocated 576640 integers for justifications
% 261.92/262.35 eqswap: (36279) {G0,W4,D2,L2,V0,M2} { ! skol4 ==> skol8, ! alpha3 }.
% 261.92/262.35 parent0[1]: (20) {G0,W4,D2,L2,V0,M2} I { ! alpha3, ! skol8 ==> skol4 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 paramod: (60001) {G1,W7,D2,L3,V1,M3} { ! skol4 ==> X, ! alpha6( X, skol8 )
% 261.92/262.35 , ! alpha3 }.
% 261.92/262.35 parent0[1]: (26) {G0,W6,D2,L2,V2,M2} I { ! alpha6( X, Y ), Y = X }.
% 261.92/262.35 parent1[0; 3]: (36279) {G0,W4,D2,L2,V0,M2} { ! skol4 ==> skol8, ! alpha3
% 261.92/262.35 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := skol8
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (60043) {G1,W7,D2,L3,V1,M3} { ! X ==> skol4, ! alpha6( X, skol8 )
% 261.92/262.35 , ! alpha3 }.
% 261.92/262.35 parent0[0]: (60001) {G1,W7,D2,L3,V1,M3} { ! skol4 ==> X, ! alpha6( X,
% 261.92/262.35 skol8 ), ! alpha3 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (202) {G1,W7,D2,L3,V1,M3} P(26,20) { ! alpha3, ! X = skol4, !
% 261.92/262.35 alpha6( X, skol8 ) }.
% 261.92/262.35 parent0: (60043) {G1,W7,D2,L3,V1,M3} { ! X ==> skol4, ! alpha6( X, skol8 )
% 261.92/262.35 , ! alpha3 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 1
% 261.92/262.35 1 ==> 2
% 261.92/262.35 2 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71860) {G1,W7,D2,L3,V1,M3} { ! skol4 = X, ! alpha3, ! alpha6( X,
% 261.92/262.35 skol8 ) }.
% 261.92/262.35 parent0[1]: (202) {G1,W7,D2,L3,V1,M3} P(26,20) { ! alpha3, ! X = skol4, !
% 261.92/262.35 alpha6( X, skol8 ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqrefl: (71861) {G0,W4,D2,L2,V0,M2} { ! alpha3, ! alpha6( skol4, skol8 )
% 261.92/262.35 }.
% 261.92/262.35 parent0[0]: (71860) {G1,W7,D2,L3,V1,M3} { ! skol4 = X, ! alpha3, ! alpha6
% 261.92/262.35 ( X, skol8 ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol4
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (208) {G2,W4,D2,L2,V0,M2} Q(202) { ! alpha3, ! alpha6( skol4,
% 261.92/262.35 skol8 ) }.
% 261.92/262.35 parent0: (71861) {G0,W4,D2,L2,V0,M2} { ! alpha3, ! alpha6( skol4, skol8 )
% 261.92/262.35 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71862) {G0,W8,D3,L2,V3,M2} { Y ==> skol5( X, Y ), ! alpha5( Z, Y
% 261.92/262.35 ) }.
% 261.92/262.35 parent0[1]: (22) {G0,W8,D3,L2,V3,M2} I { ! alpha5( X, Y ), skol5( Z, Y )
% 261.92/262.35 ==> Y }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Z
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71863) {G1,W6,D3,L2,V1,M2} { skol8 ==> skol5( X, skol8 ), !
% 261.92/262.35 alpha3 }.
% 261.92/262.35 parent0[1]: (71862) {G0,W8,D3,L2,V3,M2} { Y ==> skol5( X, Y ), ! alpha5( Z
% 261.92/262.35 , Y ) }.
% 261.92/262.35 parent1[1]: (19) {G0,W4,D2,L2,V0,M2} I { ! alpha3, alpha5( skol4, skol8 )
% 261.92/262.35 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := skol8
% 261.92/262.35 Z := skol4
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71864) {G1,W6,D3,L2,V1,M2} { skol5( X, skol8 ) ==> skol8, !
% 261.92/262.35 alpha3 }.
% 261.92/262.35 parent0[0]: (71863) {G1,W6,D3,L2,V1,M2} { skol8 ==> skol5( X, skol8 ), !
% 261.92/262.35 alpha3 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (292) {G1,W6,D3,L2,V1,M2} R(22,19) { skol5( X, skol8 ) ==>
% 261.92/262.35 skol8, ! alpha3 }.
% 261.92/262.35 parent0: (71864) {G1,W6,D3,L2,V1,M2} { skol5( X, skol8 ) ==> skol8, !
% 261.92/262.35 alpha3 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71865) {G1,W5,D2,L2,V2,M2} { ordinal( X ), ! alpha5( X, Y )
% 261.92/262.35 }.
% 261.92/262.35 parent0[0]: (27) {G0,W5,D2,L2,V2,M2} I { ! alpha6( X, Y ), ordinal( X ) }.
% 261.92/262.35 parent1[1]: (24) {G0,W8,D3,L2,V2,M2} I { ! alpha5( X, Y ), alpha6( X, skol5
% 261.92/262.35 ( X, Y ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := skol5( X, Y )
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (341) {G1,W5,D2,L2,V2,M2} R(24,27) { ! alpha5( X, Y ), ordinal
% 261.92/262.35 ( X ) }.
% 261.92/262.35 parent0: (71865) {G1,W5,D2,L2,V2,M2} { ordinal( X ), ! alpha5( X, Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 1
% 261.92/262.35 1 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71867) {G1,W6,D3,L2,V0,M2} { alpha6( skol4, skol5( skol4,
% 261.92/262.35 skol8 ) ), ! alpha3 }.
% 261.92/262.35 parent0[0]: (24) {G0,W8,D3,L2,V2,M2} I { ! alpha5( X, Y ), alpha6( X, skol5
% 261.92/262.35 ( X, Y ) ) }.
% 261.92/262.35 parent1[1]: (19) {G0,W4,D2,L2,V0,M2} I { ! alpha3, alpha5( skol4, skol8 )
% 261.92/262.35 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol4
% 261.92/262.35 Y := skol8
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 paramod: (71868) {G2,W5,D2,L3,V0,M3} { alpha6( skol4, skol8 ), ! alpha3, !
% 261.92/262.35 alpha3 }.
% 261.92/262.35 parent0[0]: (292) {G1,W6,D3,L2,V1,M2} R(22,19) { skol5( X, skol8 ) ==>
% 261.92/262.35 skol8, ! alpha3 }.
% 261.92/262.35 parent1[0; 2]: (71867) {G1,W6,D3,L2,V0,M2} { alpha6( skol4, skol5( skol4,
% 261.92/262.35 skol8 ) ), ! alpha3 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol4
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 factor: (71869) {G2,W4,D2,L2,V0,M2} { alpha6( skol4, skol8 ), ! alpha3 }.
% 261.92/262.35 parent0[1, 2]: (71868) {G2,W5,D2,L3,V0,M3} { alpha6( skol4, skol8 ), !
% 261.92/262.35 alpha3, ! alpha3 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71870) {G3,W2,D1,L2,V0,M2} { ! alpha3, ! alpha3 }.
% 261.92/262.35 parent0[1]: (208) {G2,W4,D2,L2,V0,M2} Q(202) { ! alpha3, ! alpha6( skol4,
% 261.92/262.35 skol8 ) }.
% 261.92/262.35 parent1[0]: (71869) {G2,W4,D2,L2,V0,M2} { alpha6( skol4, skol8 ), ! alpha3
% 261.92/262.35 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 factor: (71871) {G3,W1,D1,L1,V0,M1} { ! alpha3 }.
% 261.92/262.35 parent0[0, 1]: (71870) {G3,W2,D1,L2,V0,M2} { ! alpha3, ! alpha3 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (342) {G3,W1,D1,L1,V0,M1} R(24,19);d(292);r(208) { ! alpha3
% 261.92/262.35 }.
% 261.92/262.35 parent0: (71871) {G3,W1,D1,L1,V0,M1} { ! alpha3 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71872) {G1,W10,D3,L3,V3,M3} { ! in( X, Y ), ! alpha1( Z, X )
% 261.92/262.35 , in( Z, skol3( Y ) ) }.
% 261.92/262.35 parent0[0]: (342) {G3,W1,D1,L1,V0,M1} R(24,19);d(292);r(208) { ! alpha3 }.
% 261.92/262.35 parent1[0]: (18) {G0,W11,D3,L4,V3,M4} I { alpha3, ! in( Z, X ), ! alpha1( Y
% 261.92/262.35 , Z ), in( Y, skol3( X ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := Z
% 261.92/262.35 Z := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (344) {G4,W10,D3,L3,V3,M3} R(342,18) { ! in( X, Y ), ! alpha1
% 261.92/262.35 ( Z, X ), in( Z, skol3( Y ) ) }.
% 261.92/262.35 parent0: (71872) {G1,W10,D3,L3,V3,M3} { ! in( X, Y ), ! alpha1( Z, X ), in
% 261.92/262.35 ( Z, skol3( Y ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 2 ==> 2
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71873) {G1,W9,D3,L2,V2,M2} { ! in( X, skol3( Y ) ), in( skol7
% 261.92/262.35 ( Y, X ), Y ) }.
% 261.92/262.35 parent0[0]: (342) {G3,W1,D1,L1,V0,M1} R(24,19);d(292);r(208) { ! alpha3 }.
% 261.92/262.35 parent1[0]: (17) {G0,W10,D3,L3,V2,M3} I { alpha3, ! in( Y, skol3( X ) ), in
% 261.92/262.35 ( skol7( X, Y ), X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (345) {G4,W9,D3,L2,V2,M2} R(342,17) { ! in( X, skol3( Y ) ),
% 261.92/262.35 in( skol7( Y, X ), Y ) }.
% 261.92/262.35 parent0: (71873) {G1,W9,D3,L2,V2,M2} { ! in( X, skol3( Y ) ), in( skol7( Y
% 261.92/262.35 , X ), Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71874) {G1,W9,D3,L2,V3,M2} { ! in( X, skol3( Y ) ), alpha1( X
% 261.92/262.35 , skol7( Z, X ) ) }.
% 261.92/262.35 parent0[0]: (342) {G3,W1,D1,L1,V0,M1} R(24,19);d(292);r(208) { ! alpha3 }.
% 261.92/262.35 parent1[0]: (16) {G0,W10,D3,L3,V3,M3} I { alpha3, ! in( Y, skol3( X ) ),
% 261.92/262.35 alpha1( Y, skol7( Z, Y ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (346) {G4,W9,D3,L2,V3,M2} R(342,16) { ! in( X, skol3( Y ) ),
% 261.92/262.35 alpha1( X, skol7( Z, X ) ) }.
% 261.92/262.35 parent0: (71874) {G1,W9,D3,L2,V3,M2} { ! in( X, skol3( Y ) ), alpha1( X,
% 261.92/262.35 skol7( Z, X ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71875) {G0,W11,D2,L4,V3,M4} { ! Y = X, ! alpha6( Z, X ), !
% 261.92/262.35 ordinal( Y ), alpha5( Z, Y ) }.
% 261.92/262.35 parent0[1]: (25) {G0,W11,D2,L4,V3,M4} I { ! alpha6( X, Z ), ! Z = Y, !
% 261.92/262.35 ordinal( Y ), alpha5( X, Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Z
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71876) {G1,W10,D2,L4,V2,M4} { ! X = Y, ! ordinal( X ), alpha5
% 261.92/262.35 ( Y, X ), ! ordinal( Y ) }.
% 261.92/262.35 parent0[1]: (71875) {G0,W11,D2,L4,V3,M4} { ! Y = X, ! alpha6( Z, X ), !
% 261.92/262.35 ordinal( Y ), alpha5( Z, Y ) }.
% 261.92/262.35 parent1[1]: (34) {G1,W5,D2,L2,V1,M2} Q(28) { ! ordinal( X ), alpha6( X, X )
% 261.92/262.35 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 Z := Y
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := Y
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71877) {G1,W10,D2,L4,V2,M4} { ! Y = X, ! ordinal( X ), alpha5( Y
% 261.92/262.35 , X ), ! ordinal( Y ) }.
% 261.92/262.35 parent0[0]: (71876) {G1,W10,D2,L4,V2,M4} { ! X = Y, ! ordinal( X ), alpha5
% 261.92/262.35 ( Y, X ), ! ordinal( Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (368) {G2,W10,D2,L4,V2,M4} R(25,34) { ! X = Y, ! ordinal( Y )
% 261.92/262.35 , alpha5( X, Y ), ! ordinal( X ) }.
% 261.92/262.35 parent0: (71877) {G1,W10,D2,L4,V2,M4} { ! Y = X, ! ordinal( X ), alpha5( Y
% 261.92/262.35 , X ), ! ordinal( Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 2 ==> 2
% 261.92/262.35 3 ==> 3
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71879) {G2,W10,D2,L4,V2,M4} { ! Y = X, ! ordinal( Y ), alpha5( X
% 261.92/262.35 , Y ), ! ordinal( X ) }.
% 261.92/262.35 parent0[0]: (368) {G2,W10,D2,L4,V2,M4} R(25,34) { ! X = Y, ! ordinal( Y ),
% 261.92/262.35 alpha5( X, Y ), ! ordinal( X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 factor: (71880) {G2,W8,D2,L3,V1,M3} { ! X = X, ! ordinal( X ), alpha5( X,
% 261.92/262.35 X ) }.
% 261.92/262.35 parent0[1, 3]: (71879) {G2,W10,D2,L4,V2,M4} { ! Y = X, ! ordinal( Y ),
% 261.92/262.35 alpha5( X, Y ), ! ordinal( X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqrefl: (71881) {G0,W5,D2,L2,V1,M2} { ! ordinal( X ), alpha5( X, X ) }.
% 261.92/262.35 parent0[0]: (71880) {G2,W8,D2,L3,V1,M3} { ! X = X, ! ordinal( X ), alpha5
% 261.92/262.35 ( X, X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (382) {G3,W5,D2,L2,V1,M2} F(368);q { ! ordinal( X ), alpha5( X
% 261.92/262.35 , X ) }.
% 261.92/262.35 parent0: (71881) {G0,W5,D2,L2,V1,M2} { ! ordinal( X ), alpha5( X, X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71882) {G1,W6,D2,L2,V2,M2} { alpha5( X, X ), ! alpha1( X, Y )
% 261.92/262.35 }.
% 261.92/262.35 parent0[0]: (382) {G3,W5,D2,L2,V1,M2} F(368);q { ! ordinal( X ), alpha5( X
% 261.92/262.35 , X ) }.
% 261.92/262.35 parent1[1]: (30) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ordinal( X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (402) {G4,W6,D2,L2,V2,M2} R(382,30) { alpha5( X, X ), ! alpha1
% 261.92/262.35 ( X, Y ) }.
% 261.92/262.35 parent0: (71882) {G1,W6,D2,L2,V2,M2} { alpha5( X, X ), ! alpha1( X, Y )
% 261.92/262.35 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71883) {G0,W8,D2,L3,V2,M3} { ! Y = X, ! ordinal( Y ), alpha1( Y,
% 261.92/262.35 X ) }.
% 261.92/262.35 parent0[0]: (31) {G0,W8,D2,L3,V2,M3} I { ! Y = X, ! ordinal( X ), alpha1( X
% 261.92/262.35 , Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71884) {G1,W13,D3,L5,V3,M5} { alpha3, ! in( X, Y ), in( Z,
% 261.92/262.35 skol3( Y ) ), ! Z = X, ! ordinal( Z ) }.
% 261.92/262.35 parent0[2]: (18) {G0,W11,D3,L4,V3,M4} I { alpha3, ! in( Z, X ), ! alpha1( Y
% 261.92/262.35 , Z ), in( Y, skol3( X ) ) }.
% 261.92/262.35 parent1[2]: (71883) {G0,W8,D2,L3,V2,M3} { ! Y = X, ! ordinal( Y ), alpha1
% 261.92/262.35 ( Y, X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := Z
% 261.92/262.35 Z := X
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Z
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71885) {G2,W12,D3,L4,V3,M4} { ! in( X, Y ), in( Z, skol3( Y )
% 261.92/262.35 ), ! Z = X, ! ordinal( Z ) }.
% 261.92/262.35 parent0[0]: (342) {G3,W1,D1,L1,V0,M1} R(24,19);d(292);r(208) { ! alpha3 }.
% 261.92/262.35 parent1[0]: (71884) {G1,W13,D3,L5,V3,M5} { alpha3, ! in( X, Y ), in( Z,
% 261.92/262.35 skol3( Y ) ), ! Z = X, ! ordinal( Z ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71886) {G2,W12,D3,L4,V3,M4} { ! Y = X, ! in( Y, Z ), in( X, skol3
% 261.92/262.35 ( Z ) ), ! ordinal( X ) }.
% 261.92/262.35 parent0[2]: (71885) {G2,W12,D3,L4,V3,M4} { ! in( X, Y ), in( Z, skol3( Y )
% 261.92/262.35 ), ! Z = X, ! ordinal( Z ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := Z
% 261.92/262.35 Z := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (450) {G4,W12,D3,L4,V3,M4} R(31,18);r(342) { ! X = Y, !
% 261.92/262.35 ordinal( Y ), ! in( X, Z ), in( Y, skol3( Z ) ) }.
% 261.92/262.35 parent0: (71886) {G2,W12,D3,L4,V3,M4} { ! Y = X, ! in( Y, Z ), in( X,
% 261.92/262.35 skol3( Z ) ), ! ordinal( X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 2
% 261.92/262.35 2 ==> 3
% 261.92/262.35 3 ==> 1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71887) {G0,W8,D2,L3,V2,M3} { ! Y = X, ! ordinal( Y ), alpha1( Y,
% 261.92/262.35 X ) }.
% 261.92/262.35 parent0[0]: (31) {G0,W8,D2,L3,V2,M3} I { ! Y = X, ! ordinal( X ), alpha1( X
% 261.92/262.35 , Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71888) {G1,W9,D2,L3,V3,M3} { ! X = Y, alpha1( X, Y ), !
% 261.92/262.35 alpha2( Z, X ) }.
% 261.92/262.35 parent0[1]: (71887) {G0,W8,D2,L3,V2,M3} { ! Y = X, ! ordinal( Y ), alpha1
% 261.92/262.35 ( Y, X ) }.
% 261.92/262.35 parent1[1]: (7) {G0,W5,D2,L2,V2,M2} I { ! alpha2( X, Y ), ordinal( Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := Z
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71889) {G1,W9,D2,L3,V3,M3} { ! Y = X, alpha1( X, Y ), ! alpha2( Z
% 261.92/262.35 , X ) }.
% 261.92/262.35 parent0[0]: (71888) {G1,W9,D2,L3,V3,M3} { ! X = Y, alpha1( X, Y ), !
% 261.92/262.35 alpha2( Z, X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (455) {G1,W9,D2,L3,V3,M3} R(31,7) { ! X = Y, alpha1( Y, X ), !
% 261.92/262.35 alpha2( Z, Y ) }.
% 261.92/262.35 parent0: (71889) {G1,W9,D2,L3,V3,M3} { ! Y = X, alpha1( X, Y ), ! alpha2(
% 261.92/262.35 Z, X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 2 ==> 2
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71890) {G1,W8,D3,L3,V2,M3} { alpha5( X, X ), alpha3, ! in( X
% 261.92/262.35 , skol3( Z ) ) }.
% 261.92/262.35 parent0[1]: (402) {G4,W6,D2,L2,V2,M2} R(382,30) { alpha5( X, X ), ! alpha1
% 261.92/262.35 ( X, Y ) }.
% 261.92/262.35 parent1[2]: (16) {G0,W10,D3,L3,V3,M3} I { alpha3, ! in( Y, skol3( X ) ),
% 261.92/262.35 alpha1( Y, skol7( Z, Y ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := skol7( Y, X )
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := Z
% 261.92/262.35 Y := X
% 261.92/262.35 Z := Y
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71891) {G2,W7,D3,L2,V2,M2} { alpha5( X, X ), ! in( X, skol3(
% 261.92/262.35 Y ) ) }.
% 261.92/262.35 parent0[0]: (342) {G3,W1,D1,L1,V0,M1} R(24,19);d(292);r(208) { ! alpha3 }.
% 261.92/262.35 parent1[1]: (71890) {G1,W8,D3,L3,V2,M3} { alpha5( X, X ), alpha3, ! in( X
% 261.92/262.35 , skol3( Z ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Z
% 261.92/262.35 Z := Y
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (469) {G5,W7,D3,L2,V2,M2} R(402,16);r(342) { alpha5( X, X ), !
% 261.92/262.35 in( X, skol3( Y ) ) }.
% 261.92/262.35 parent0: (71891) {G2,W7,D3,L2,V2,M2} { alpha5( X, X ), ! in( X, skol3( Y )
% 261.92/262.35 ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71892) {G2,W9,D3,L2,V1,M2} { alpha1( skol6( X ), skol6( X ) )
% 261.92/262.35 , in( skol6( X ), X ) }.
% 261.92/262.35 parent0[1]: (68) {G2,W6,D2,L2,V2,M2} R(35,7) { alpha1( X, X ), ! alpha2( Y
% 261.92/262.35 , X ) }.
% 261.92/262.35 parent1[1]: (41) {G1,W8,D3,L2,V1,M2} R(2,0) { in( skol6( X ), X ), alpha2(
% 261.92/262.35 skol1, skol6( X ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol6( X )
% 261.92/262.35 Y := skol1
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (504) {G3,W9,D3,L2,V1,M2} R(41,68) { in( skol6( X ), X ),
% 261.92/262.35 alpha1( skol6( X ), skol6( X ) ) }.
% 261.92/262.35 parent0: (71892) {G2,W9,D3,L2,V1,M2} { alpha1( skol6( X ), skol6( X ) ),
% 261.92/262.35 in( skol6( X ), X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 1
% 261.92/262.35 1 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71893) {G1,W8,D3,L2,V1,M2} { in( skol6( X ), skol1 ), in(
% 261.92/262.35 skol6( X ), X ) }.
% 261.92/262.35 parent0[0]: (6) {G0,W6,D2,L2,V2,M2} I { ! alpha2( X, Y ), in( Y, X ) }.
% 261.92/262.35 parent1[1]: (41) {G1,W8,D3,L2,V1,M2} R(2,0) { in( skol6( X ), X ), alpha2(
% 261.92/262.35 skol1, skol6( X ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol1
% 261.92/262.35 Y := skol6( X )
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (507) {G2,W8,D3,L2,V1,M2} R(41,6) { in( skol6( X ), X ), in(
% 261.92/262.35 skol6( X ), skol1 ) }.
% 261.92/262.35 parent0: (71893) {G1,W8,D3,L2,V1,M2} { in( skol6( X ), skol1 ), in( skol6
% 261.92/262.35 ( X ), X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 1
% 261.92/262.35 1 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71895) {G1,W15,D3,L5,V5,M5} { ! alpha4( skol3( X ), Y, Z ), !
% 261.92/262.35 alpha1( Z, T ), alpha3, ! in( U, X ), ! alpha1( Z, U ) }.
% 261.92/262.35 parent0[1]: (53) {G1,W10,D2,L3,V4,M3} R(3,30) { ! alpha4( X, Y, Z ), ! in(
% 261.92/262.35 Z, X ), ! alpha1( Z, T ) }.
% 261.92/262.35 parent1[3]: (18) {G0,W11,D3,L4,V3,M4} I { alpha3, ! in( Z, X ), ! alpha1( Y
% 261.92/262.35 , Z ), in( Y, skol3( X ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol3( X )
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 T := T
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Z
% 261.92/262.35 Z := U
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71898) {G2,W14,D3,L4,V5,M4} { ! alpha4( skol3( X ), Y, Z ), !
% 261.92/262.35 alpha1( Z, T ), ! in( U, X ), ! alpha1( Z, U ) }.
% 261.92/262.35 parent0[0]: (342) {G3,W1,D1,L1,V0,M1} R(24,19);d(292);r(208) { ! alpha3 }.
% 261.92/262.35 parent1[2]: (71895) {G1,W15,D3,L5,V5,M5} { ! alpha4( skol3( X ), Y, Z ), !
% 261.92/262.35 alpha1( Z, T ), alpha3, ! in( U, X ), ! alpha1( Z, U ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 T := T
% 261.92/262.35 U := U
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (722) {G4,W14,D3,L4,V5,M4} R(53,18);r(342) { ! alpha4( skol3(
% 261.92/262.35 X ), Y, Z ), ! alpha1( Z, T ), ! in( U, X ), ! alpha1( Z, U ) }.
% 261.92/262.35 parent0: (71898) {G2,W14,D3,L4,V5,M4} { ! alpha4( skol3( X ), Y, Z ), !
% 261.92/262.35 alpha1( Z, T ), ! in( U, X ), ! alpha1( Z, U ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 T := T
% 261.92/262.35 U := U
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 2 ==> 2
% 261.92/262.35 3 ==> 3
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 factor: (71900) {G4,W11,D3,L3,V4,M3} { ! alpha4( skol3( X ), Y, Z ), !
% 261.92/262.35 alpha1( Z, T ), ! in( T, X ) }.
% 261.92/262.35 parent0[1, 3]: (722) {G4,W14,D3,L4,V5,M4} R(53,18);r(342) { ! alpha4( skol3
% 261.92/262.35 ( X ), Y, Z ), ! alpha1( Z, T ), ! in( U, X ), ! alpha1( Z, U ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 T := T
% 261.92/262.35 U := T
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (728) {G5,W11,D3,L3,V4,M3} F(722) { ! alpha4( skol3( X ), Y, Z
% 261.92/262.35 ), ! alpha1( Z, T ), ! in( T, X ) }.
% 261.92/262.35 parent0: (71900) {G4,W11,D3,L3,V4,M3} { ! alpha4( skol3( X ), Y, Z ), !
% 261.92/262.35 alpha1( Z, T ), ! in( T, X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 T := T
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 2 ==> 2
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71901) {G2,W10,D3,L3,V3,M3} { ! in( X, Y ), alpha2( Y, X ), !
% 261.92/262.35 in( X, skol3( Z ) ) }.
% 261.92/262.35 parent0[2]: (97) {G1,W9,D2,L3,V3,M3} R(8,23) { ! in( X, Y ), alpha2( Y, X )
% 261.92/262.35 , ! alpha5( Z, X ) }.
% 261.92/262.35 parent1[0]: (469) {G5,W7,D3,L2,V2,M2} R(402,16);r(342) { alpha5( X, X ), !
% 261.92/262.35 in( X, skol3( Y ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := X
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Z
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (1129) {G6,W10,D3,L3,V3,M3} R(469,97) { ! in( X, skol3( Y ) )
% 261.92/262.35 , ! in( X, Z ), alpha2( Z, X ) }.
% 261.92/262.35 parent0: (71901) {G2,W10,D3,L3,V3,M3} { ! in( X, Y ), alpha2( Y, X ), ! in
% 261.92/262.35 ( X, skol3( Z ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Z
% 261.92/262.35 Z := Y
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 1
% 261.92/262.35 1 ==> 2
% 261.92/262.35 2 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71903) {G2,W6,D3,L2,V2,M2} { ordinal( X ), ! in( X, skol3( Y
% 261.92/262.35 ) ) }.
% 261.92/262.35 parent0[0]: (341) {G1,W5,D2,L2,V2,M2} R(24,27) { ! alpha5( X, Y ), ordinal
% 261.92/262.35 ( X ) }.
% 261.92/262.35 parent1[0]: (469) {G5,W7,D3,L2,V2,M2} R(402,16);r(342) { alpha5( X, X ), !
% 261.92/262.35 in( X, skol3( Y ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (1138) {G6,W6,D3,L2,V2,M2} R(469,341) { ! in( X, skol3( Y ) )
% 261.92/262.35 , ordinal( X ) }.
% 261.92/262.35 parent0: (71903) {G2,W6,D3,L2,V2,M2} { ordinal( X ), ! in( X, skol3( Y ) )
% 261.92/262.35 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 1
% 261.92/262.35 1 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 factor: (71904) {G6,W8,D3,L2,V2,M2} { ! in( X, skol3( Y ) ), alpha2( skol3
% 261.92/262.35 ( Y ), X ) }.
% 261.92/262.35 parent0[0, 1]: (1129) {G6,W10,D3,L3,V3,M3} R(469,97) { ! in( X, skol3( Y )
% 261.92/262.35 ), ! in( X, Z ), alpha2( Z, X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := skol3( Y )
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (1150) {G7,W8,D3,L2,V2,M2} F(1129) { ! in( X, skol3( Y ) ),
% 261.92/262.35 alpha2( skol3( Y ), X ) }.
% 261.92/262.35 parent0: (71904) {G6,W8,D3,L2,V2,M2} { ! in( X, skol3( Y ) ), alpha2(
% 261.92/262.35 skol3( Y ), X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71905) {G2,W9,D4,L2,V1,M2} { ordinal( skol6( skol3( X ) ) ),
% 261.92/262.35 alpha2( skol1, skol6( skol3( X ) ) ) }.
% 261.92/262.35 parent0[0]: (1138) {G6,W6,D3,L2,V2,M2} R(469,341) { ! in( X, skol3( Y ) ),
% 261.92/262.35 ordinal( X ) }.
% 261.92/262.35 parent1[0]: (41) {G1,W8,D3,L2,V1,M2} R(2,0) { in( skol6( X ), X ), alpha2(
% 261.92/262.35 skol1, skol6( X ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol6( skol3( X ) )
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := skol3( X )
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71906) {G1,W8,D4,L2,V1,M2} { ordinal( skol6( skol3( X ) ) ),
% 261.92/262.35 ordinal( skol6( skol3( X ) ) ) }.
% 261.92/262.35 parent0[0]: (7) {G0,W5,D2,L2,V2,M2} I { ! alpha2( X, Y ), ordinal( Y ) }.
% 261.92/262.35 parent1[1]: (71905) {G2,W9,D4,L2,V1,M2} { ordinal( skol6( skol3( X ) ) ),
% 261.92/262.35 alpha2( skol1, skol6( skol3( X ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol1
% 261.92/262.35 Y := skol6( skol3( X ) )
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 factor: (71907) {G1,W4,D4,L1,V1,M1} { ordinal( skol6( skol3( X ) ) ) }.
% 261.92/262.35 parent0[0, 1]: (71906) {G1,W8,D4,L2,V1,M2} { ordinal( skol6( skol3( X ) )
% 261.92/262.35 ), ordinal( skol6( skol3( X ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (1157) {G7,W4,D4,L1,V1,M1} R(1138,41);r(7) { ordinal( skol6(
% 261.92/262.35 skol3( X ) ) ) }.
% 261.92/262.35 parent0: (71907) {G1,W4,D4,L1,V1,M1} { ordinal( skol6( skol3( X ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71908) {G2,W7,D4,L1,V1,M1} { alpha1( skol6( skol3( X ) ),
% 261.92/262.35 skol6( skol3( X ) ) ) }.
% 261.92/262.35 parent0[0]: (35) {G1,W5,D2,L2,V1,M2} Q(31) { ! ordinal( X ), alpha1( X, X )
% 261.92/262.35 }.
% 261.92/262.35 parent1[0]: (1157) {G7,W4,D4,L1,V1,M1} R(1138,41);r(7) { ordinal( skol6(
% 261.92/262.35 skol3( X ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol6( skol3( X ) )
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (1189) {G8,W7,D4,L1,V1,M1} R(1157,35) { alpha1( skol6( skol3(
% 261.92/262.35 X ) ), skol6( skol3( X ) ) ) }.
% 261.92/262.35 parent0: (71908) {G2,W7,D4,L1,V1,M1} { alpha1( skol6( skol3( X ) ), skol6
% 261.92/262.35 ( skol3( X ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71910) {G3,W12,D3,L3,V2,M3} { ! alpha1( Y, skol6( X ) ), in(
% 261.92/262.35 Y, skol3( skol1 ) ), in( skol6( X ), X ) }.
% 261.92/262.35 parent0[0]: (344) {G4,W10,D3,L3,V3,M3} R(342,18) { ! in( X, Y ), ! alpha1(
% 261.92/262.35 Z, X ), in( Z, skol3( Y ) ) }.
% 261.92/262.35 parent1[1]: (507) {G2,W8,D3,L2,V1,M2} R(41,6) { in( skol6( X ), X ), in(
% 261.92/262.35 skol6( X ), skol1 ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol6( X )
% 261.92/262.35 Y := skol1
% 261.92/262.35 Z := Y
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (6564) {G5,W12,D3,L3,V2,M3} R(344,507) { ! alpha1( X, skol6( Y
% 261.92/262.35 ) ), in( X, skol3( skol1 ) ), in( skol6( Y ), Y ) }.
% 261.92/262.35 parent0: (71910) {G3,W12,D3,L3,V2,M3} { ! alpha1( Y, skol6( X ) ), in( Y,
% 261.92/262.35 skol3( skol1 ) ), in( skol6( X ), X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 2 ==> 2
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71912) {G2,W17,D4,L4,V2,M4} { ! in( skol6( skol3( X ) ),
% 261.92/262.35 skol1 ), ! ordinal( skol6( skol3( X ) ) ), ! in( Y, X ), ! alpha1( skol6
% 261.92/262.35 ( skol3( X ) ), Y ) }.
% 261.92/262.35 parent0[2]: (52) {G1,W11,D3,L3,V1,M3} R(3,1) { ! in( skol6( X ), skol1 ), !
% 261.92/262.35 ordinal( skol6( X ) ), ! in( skol6( X ), X ) }.
% 261.92/262.35 parent1[2]: (344) {G4,W10,D3,L3,V3,M3} R(342,18) { ! in( X, Y ), ! alpha1(
% 261.92/262.35 Z, X ), in( Z, skol3( Y ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol3( X )
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 Z := skol6( skol3( X ) )
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71915) {G3,W13,D4,L3,V2,M3} { ! in( skol6( skol3( X ) ),
% 261.92/262.35 skol1 ), ! in( Y, X ), ! alpha1( skol6( skol3( X ) ), Y ) }.
% 261.92/262.35 parent0[1]: (71912) {G2,W17,D4,L4,V2,M4} { ! in( skol6( skol3( X ) ),
% 261.92/262.35 skol1 ), ! ordinal( skol6( skol3( X ) ) ), ! in( Y, X ), ! alpha1( skol6
% 261.92/262.35 ( skol3( X ) ), Y ) }.
% 261.92/262.35 parent1[0]: (1157) {G7,W4,D4,L1,V1,M1} R(1138,41);r(7) { ordinal( skol6(
% 261.92/262.35 skol3( X ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (6631) {G8,W13,D4,L3,V2,M3} R(344,52);r(1157) { ! in( X, Y ),
% 261.92/262.35 ! alpha1( skol6( skol3( Y ) ), X ), ! in( skol6( skol3( Y ) ), skol1 )
% 261.92/262.35 }.
% 261.92/262.35 parent0: (71915) {G3,W13,D4,L3,V2,M3} { ! in( skol6( skol3( X ) ), skol1 )
% 261.92/262.35 , ! in( Y, X ), ! alpha1( skol6( skol3( X ) ), Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 2
% 261.92/262.35 1 ==> 0
% 261.92/262.35 2 ==> 1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 factor: (71917) {G8,W12,D4,L2,V0,M2} { ! in( skol6( skol3( skol1 ) ),
% 261.92/262.35 skol1 ), ! alpha1( skol6( skol3( skol1 ) ), skol6( skol3( skol1 ) ) ) }.
% 261.92/262.35 parent0[0, 2]: (6631) {G8,W13,D4,L3,V2,M3} R(344,52);r(1157) { ! in( X, Y )
% 261.92/262.35 , ! alpha1( skol6( skol3( Y ) ), X ), ! in( skol6( skol3( Y ) ), skol1 )
% 261.92/262.35 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol6( skol3( skol1 ) )
% 261.92/262.35 Y := skol1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71918) {G9,W5,D4,L1,V0,M1} { ! in( skol6( skol3( skol1 ) ),
% 261.92/262.35 skol1 ) }.
% 261.92/262.35 parent0[1]: (71917) {G8,W12,D4,L2,V0,M2} { ! in( skol6( skol3( skol1 ) ),
% 261.92/262.35 skol1 ), ! alpha1( skol6( skol3( skol1 ) ), skol6( skol3( skol1 ) ) ) }.
% 261.92/262.35 parent1[0]: (1189) {G8,W7,D4,L1,V1,M1} R(1157,35) { alpha1( skol6( skol3( X
% 261.92/262.35 ) ), skol6( skol3( X ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := skol1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (6632) {G9,W5,D4,L1,V0,M1} F(6631);r(1189) { ! in( skol6(
% 261.92/262.35 skol3( skol1 ) ), skol1 ) }.
% 261.92/262.35 parent0: (71918) {G9,W5,D4,L1,V0,M1} { ! in( skol6( skol3( skol1 ) ),
% 261.92/262.35 skol1 ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 factor: (71919) {G5,W13,D4,L2,V0,M2} { ! alpha1( skol6( skol3( skol1 ) ),
% 261.92/262.35 skol6( skol3( skol1 ) ) ), in( skol6( skol3( skol1 ) ), skol3( skol1 ) )
% 261.92/262.35 }.
% 261.92/262.35 parent0[1, 2]: (6564) {G5,W12,D3,L3,V2,M3} R(344,507) { ! alpha1( X, skol6
% 261.92/262.35 ( Y ) ), in( X, skol3( skol1 ) ), in( skol6( Y ), Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol6( skol3( skol1 ) )
% 261.92/262.35 Y := skol3( skol1 )
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71920) {G4,W12,D4,L2,V0,M2} { in( skol6( skol3( skol1 ) ),
% 261.92/262.35 skol3( skol1 ) ), in( skol6( skol3( skol1 ) ), skol3( skol1 ) ) }.
% 261.92/262.35 parent0[0]: (71919) {G5,W13,D4,L2,V0,M2} { ! alpha1( skol6( skol3( skol1 )
% 261.92/262.35 ), skol6( skol3( skol1 ) ) ), in( skol6( skol3( skol1 ) ), skol3( skol1
% 261.92/262.35 ) ) }.
% 261.92/262.35 parent1[1]: (504) {G3,W9,D3,L2,V1,M2} R(41,68) { in( skol6( X ), X ),
% 261.92/262.35 alpha1( skol6( X ), skol6( X ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := skol3( skol1 )
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 factor: (71921) {G4,W6,D4,L1,V0,M1} { in( skol6( skol3( skol1 ) ), skol3(
% 261.92/262.35 skol1 ) ) }.
% 261.92/262.35 parent0[0, 1]: (71920) {G4,W12,D4,L2,V0,M2} { in( skol6( skol3( skol1 ) )
% 261.92/262.35 , skol3( skol1 ) ), in( skol6( skol3( skol1 ) ), skol3( skol1 ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (6637) {G6,W6,D4,L1,V0,M1} F(6564);r(504) { in( skol6( skol3(
% 261.92/262.35 skol1 ) ), skol3( skol1 ) ) }.
% 261.92/262.35 parent0: (71921) {G4,W6,D4,L1,V0,M1} { in( skol6( skol3( skol1 ) ), skol3
% 261.92/262.35 ( skol1 ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71922) {G5,W7,D5,L1,V0,M1} { in( skol7( skol1, skol6( skol3(
% 261.92/262.35 skol1 ) ) ), skol1 ) }.
% 261.92/262.35 parent0[0]: (345) {G4,W9,D3,L2,V2,M2} R(342,17) { ! in( X, skol3( Y ) ), in
% 261.92/262.35 ( skol7( Y, X ), Y ) }.
% 261.92/262.35 parent1[0]: (6637) {G6,W6,D4,L1,V0,M1} F(6564);r(504) { in( skol6( skol3(
% 261.92/262.35 skol1 ) ), skol3( skol1 ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol6( skol3( skol1 ) )
% 261.92/262.35 Y := skol1
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (6751) {G7,W7,D5,L1,V0,M1} R(6637,345) { in( skol7( skol1,
% 261.92/262.35 skol6( skol3( skol1 ) ) ), skol1 ) }.
% 261.92/262.35 parent0: (71922) {G5,W7,D5,L1,V0,M1} { in( skol7( skol1, skol6( skol3(
% 261.92/262.35 skol1 ) ) ), skol1 ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71923) {G4,W12,D3,L4,V3,M4} { ! Y = X, ! ordinal( Y ), ! in( X, Z
% 261.92/262.35 ), in( Y, skol3( Z ) ) }.
% 261.92/262.35 parent0[0]: (450) {G4,W12,D3,L4,V3,M4} R(31,18);r(342) { ! X = Y, ! ordinal
% 261.92/262.35 ( Y ), ! in( X, Z ), in( Y, skol3( Z ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71924) {G5,W12,D4,L3,V1,M3} { ! X = skol6( skol3( skol1 ) ),
% 261.92/262.35 ! ordinal( X ), in( X, skol3( skol3( skol1 ) ) ) }.
% 261.92/262.35 parent0[2]: (71923) {G4,W12,D3,L4,V3,M4} { ! Y = X, ! ordinal( Y ), ! in(
% 261.92/262.35 X, Z ), in( Y, skol3( Z ) ) }.
% 261.92/262.35 parent1[0]: (6637) {G6,W6,D4,L1,V0,M1} F(6564);r(504) { in( skol6( skol3(
% 261.92/262.35 skol1 ) ), skol3( skol1 ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol6( skol3( skol1 ) )
% 261.92/262.35 Y := X
% 261.92/262.35 Z := skol3( skol1 )
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71925) {G5,W12,D4,L3,V1,M3} { ! skol6( skol3( skol1 ) ) = X, !
% 261.92/262.35 ordinal( X ), in( X, skol3( skol3( skol1 ) ) ) }.
% 261.92/262.35 parent0[0]: (71924) {G5,W12,D4,L3,V1,M3} { ! X = skol6( skol3( skol1 ) ),
% 261.92/262.35 ! ordinal( X ), in( X, skol3( skol3( skol1 ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (12828) {G7,W12,D4,L3,V1,M3} R(450,6637) { ! skol6( skol3(
% 261.92/262.35 skol1 ) ) = X, ! ordinal( X ), in( X, skol3( skol3( skol1 ) ) ) }.
% 261.92/262.35 parent0: (71925) {G5,W12,D4,L3,V1,M3} { ! skol6( skol3( skol1 ) ) = X, !
% 261.92/262.35 ordinal( X ), in( X, skol3( skol3( skol1 ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 2 ==> 2
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71926) {G7,W12,D4,L3,V1,M3} { ! X = skol6( skol3( skol1 ) ), !
% 261.92/262.35 ordinal( X ), in( X, skol3( skol3( skol1 ) ) ) }.
% 261.92/262.35 parent0[0]: (12828) {G7,W12,D4,L3,V1,M3} R(450,6637) { ! skol6( skol3(
% 261.92/262.35 skol1 ) ) = X, ! ordinal( X ), in( X, skol3( skol3( skol1 ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqrefl: (71927) {G0,W11,D4,L2,V0,M2} { ! ordinal( skol6( skol3( skol1 ) )
% 261.92/262.35 ), in( skol6( skol3( skol1 ) ), skol3( skol3( skol1 ) ) ) }.
% 261.92/262.35 parent0[0]: (71926) {G7,W12,D4,L3,V1,M3} { ! X = skol6( skol3( skol1 ) ),
% 261.92/262.35 ! ordinal( X ), in( X, skol3( skol3( skol1 ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol6( skol3( skol1 ) )
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71928) {G1,W7,D4,L1,V0,M1} { in( skol6( skol3( skol1 ) ),
% 261.92/262.35 skol3( skol3( skol1 ) ) ) }.
% 261.92/262.35 parent0[0]: (71927) {G0,W11,D4,L2,V0,M2} { ! ordinal( skol6( skol3( skol1
% 261.92/262.35 ) ) ), in( skol6( skol3( skol1 ) ), skol3( skol3( skol1 ) ) ) }.
% 261.92/262.35 parent1[0]: (1157) {G7,W4,D4,L1,V1,M1} R(1138,41);r(7) { ordinal( skol6(
% 261.92/262.35 skol3( X ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := skol1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (12953) {G8,W7,D4,L1,V0,M1} Q(12828);r(1157) { in( skol6(
% 261.92/262.35 skol3( skol1 ) ), skol3( skol3( skol1 ) ) ) }.
% 261.92/262.35 parent0: (71928) {G1,W7,D4,L1,V0,M1} { in( skol6( skol3( skol1 ) ), skol3
% 261.92/262.35 ( skol3( skol1 ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71929) {G8,W7,D4,L1,V0,M1} { alpha2( skol3( skol3( skol1 ) )
% 261.92/262.35 , skol6( skol3( skol1 ) ) ) }.
% 261.92/262.35 parent0[0]: (1150) {G7,W8,D3,L2,V2,M2} F(1129) { ! in( X, skol3( Y ) ),
% 261.92/262.35 alpha2( skol3( Y ), X ) }.
% 261.92/262.35 parent1[0]: (12953) {G8,W7,D4,L1,V0,M1} Q(12828);r(1157) { in( skol6( skol3
% 261.92/262.35 ( skol1 ) ), skol3( skol3( skol1 ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol6( skol3( skol1 ) )
% 261.92/262.35 Y := skol3( skol1 )
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (12967) {G9,W7,D4,L1,V0,M1} R(12953,1150) { alpha2( skol3(
% 261.92/262.35 skol3( skol1 ) ), skol6( skol3( skol1 ) ) ) }.
% 261.92/262.35 parent0: (71929) {G8,W7,D4,L1,V0,M1} { alpha2( skol3( skol3( skol1 ) ),
% 261.92/262.35 skol6( skol3( skol1 ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71930) {G1,W12,D3,L3,V5,M3} { ! alpha4( skol3( X ), Y, Z ), !
% 261.92/262.35 alpha1( Z, T ), ! alpha4( U, X, T ) }.
% 261.92/262.35 parent0[2]: (728) {G5,W11,D3,L3,V4,M3} F(722) { ! alpha4( skol3( X ), Y, Z
% 261.92/262.35 ), ! alpha1( Z, T ), ! in( T, X ) }.
% 261.92/262.35 parent1[1]: (2) {G0,W7,D2,L2,V3,M2} I { ! alpha4( X, Y, Z ), in( Z, Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 T := T
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := U
% 261.92/262.35 Y := X
% 261.92/262.35 Z := T
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (35138) {G6,W12,D3,L3,V5,M3} R(728,2) { ! alpha4( skol3( X ),
% 261.92/262.35 Y, Z ), ! alpha1( Z, T ), ! alpha4( U, X, T ) }.
% 261.92/262.35 parent0: (71930) {G1,W12,D3,L3,V5,M3} { ! alpha4( skol3( X ), Y, Z ), !
% 261.92/262.35 alpha1( Z, T ), ! alpha4( U, X, T ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 T := T
% 261.92/262.35 U := U
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 2 ==> 2
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 factor: (71932) {G6,W8,D3,L2,V2,M2} { ! alpha4( skol3( X ), X, Y ), !
% 261.92/262.35 alpha1( Y, Y ) }.
% 261.92/262.35 parent0[0, 2]: (35138) {G6,W12,D3,L3,V5,M3} R(728,2) { ! alpha4( skol3( X )
% 261.92/262.35 , Y, Z ), ! alpha1( Z, T ), ! alpha4( U, X, T ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := X
% 261.92/262.35 Z := Y
% 261.92/262.35 T := Y
% 261.92/262.35 U := skol3( X )
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (35139) {G7,W8,D3,L2,V2,M2} F(35138) { ! alpha4( skol3( X ), X
% 261.92/262.35 , Y ), ! alpha1( Y, Y ) }.
% 261.92/262.35 parent0: (71932) {G6,W8,D3,L2,V2,M2} { ! alpha4( skol3( X ), X, Y ), !
% 261.92/262.35 alpha1( Y, Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71933) {G1,W9,D2,L3,V3,M3} { ! Y = X, alpha1( Y, X ), ! alpha2( Z
% 261.92/262.35 , Y ) }.
% 261.92/262.35 parent0[0]: (455) {G1,W9,D2,L3,V3,M3} R(31,7) { ! X = Y, alpha1( Y, X ), !
% 261.92/262.35 alpha2( Z, Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71934) {G2,W11,D3,L3,V3,M3} { ! alpha4( skol3( X ), X, Y ), !
% 261.92/262.35 Y = Y, ! alpha2( Z, Y ) }.
% 261.92/262.35 parent0[1]: (35139) {G7,W8,D3,L2,V2,M2} F(35138) { ! alpha4( skol3( X ), X
% 261.92/262.35 , Y ), ! alpha1( Y, Y ) }.
% 261.92/262.35 parent1[1]: (71933) {G1,W9,D2,L3,V3,M3} { ! Y = X, alpha1( Y, X ), !
% 261.92/262.35 alpha2( Z, Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqrefl: (71935) {G0,W8,D3,L2,V3,M2} { ! alpha4( skol3( X ), X, Y ), !
% 261.92/262.35 alpha2( Z, Y ) }.
% 261.92/262.35 parent0[1]: (71934) {G2,W11,D3,L3,V3,M3} { ! alpha4( skol3( X ), X, Y ), !
% 261.92/262.35 Y = Y, ! alpha2( Z, Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (35169) {G8,W8,D3,L2,V3,M2} R(35139,455);q { ! alpha4( skol3(
% 261.92/262.35 X ), X, Y ), ! alpha2( Z, Y ) }.
% 261.92/262.35 parent0: (71935) {G0,W8,D3,L2,V3,M2} { ! alpha4( skol3( X ), X, Y ), !
% 261.92/262.35 alpha2( Z, Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71936) {G2,W10,D3,L3,V3,M3} { ! alpha2( Z, Y ), ! alpha2( X,
% 261.92/262.35 Y ), in( Y, skol3( X ) ) }.
% 261.92/262.35 parent0[0]: (35169) {G8,W8,D3,L2,V3,M2} R(35139,455);q { ! alpha4( skol3( X
% 261.92/262.35 ), X, Y ), ! alpha2( Z, Y ) }.
% 261.92/262.35 parent1[2]: (87) {G1,W10,D2,L3,V3,M3} R(6,4) { ! alpha2( X, Y ), in( Y, Z )
% 261.92/262.35 , alpha4( Z, X, Y ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := skol3( X )
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (35280) {G9,W10,D3,L3,V3,M3} R(35169,87) { ! alpha2( X, Y ), !
% 261.92/262.35 alpha2( Z, Y ), in( Y, skol3( Z ) ) }.
% 261.92/262.35 parent0: (71936) {G2,W10,D3,L3,V3,M3} { ! alpha2( Z, Y ), ! alpha2( X, Y )
% 261.92/262.35 , in( Y, skol3( X ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Z
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 2 ==> 2
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 factor: (71938) {G9,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), in( Y, skol3( X )
% 261.92/262.35 ) }.
% 261.92/262.35 parent0[0, 1]: (35280) {G9,W10,D3,L3,V3,M3} R(35169,87) { ! alpha2( X, Y )
% 261.92/262.35 , ! alpha2( Z, Y ), in( Y, skol3( Z ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (35284) {G10,W7,D3,L2,V2,M2} F(35280) { ! alpha2( X, Y ), in(
% 261.92/262.35 Y, skol3( X ) ) }.
% 261.92/262.35 parent0: (71938) {G9,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), in( Y, skol3( X )
% 261.92/262.35 ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 1 ==> 1
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71939) {G5,W8,D3,L2,V3,M2} { alpha1( X, skol7( Z, X ) ), !
% 261.92/262.35 alpha2( Y, X ) }.
% 261.92/262.35 parent0[0]: (346) {G4,W9,D3,L2,V3,M2} R(342,16) { ! in( X, skol3( Y ) ),
% 261.92/262.35 alpha1( X, skol7( Z, X ) ) }.
% 261.92/262.35 parent1[1]: (35284) {G10,W7,D3,L2,V2,M2} F(35280) { ! alpha2( X, Y ), in( Y
% 261.92/262.35 , skol3( X ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (35453) {G11,W8,D3,L2,V3,M2} R(35284,346) { ! alpha2( X, Y ),
% 261.92/262.35 alpha1( Y, skol7( Z, Y ) ) }.
% 261.92/262.35 parent0: (71939) {G5,W8,D3,L2,V3,M2} { alpha1( X, skol7( Z, X ) ), !
% 261.92/262.35 alpha2( Y, X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 1
% 261.92/262.35 1 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71940) {G0,W6,D2,L2,V2,M2} { Y = X, ! alpha1( Y, X ) }.
% 261.92/262.35 parent0[1]: (29) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), Y = X }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71941) {G1,W8,D3,L2,V3,M2} { X = skol7( Y, X ), ! alpha2( Z,
% 261.92/262.35 X ) }.
% 261.92/262.35 parent0[1]: (71940) {G0,W6,D2,L2,V2,M2} { Y = X, ! alpha1( Y, X ) }.
% 261.92/262.35 parent1[1]: (35453) {G11,W8,D3,L2,V3,M2} R(35284,346) { ! alpha2( X, Y ),
% 261.92/262.35 alpha1( Y, skol7( Z, Y ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol7( Y, X )
% 261.92/262.35 Y := X
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := Z
% 261.92/262.35 Y := X
% 261.92/262.35 Z := Y
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 eqswap: (71942) {G1,W8,D3,L2,V3,M2} { skol7( Y, X ) = X, ! alpha2( Z, X )
% 261.92/262.35 }.
% 261.92/262.35 parent0[0]: (71941) {G1,W8,D3,L2,V3,M2} { X = skol7( Y, X ), ! alpha2( Z,
% 261.92/262.35 X ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := Y
% 261.92/262.35 Z := Z
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (36010) {G12,W8,D3,L2,V3,M2} R(35453,29) { ! alpha2( X, Y ),
% 261.92/262.35 skol7( Z, Y ) ==> Y }.
% 261.92/262.35 parent0: (71942) {G1,W8,D3,L2,V3,M2} { skol7( Y, X ) = X, ! alpha2( Z, X )
% 261.92/262.35 }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := Y
% 261.92/262.35 Y := Z
% 261.92/262.35 Z := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 1
% 261.92/262.35 1 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 paramod: (71944) {G8,W10,D4,L2,V1,M2} { in( skol6( skol3( skol1 ) ), skol1
% 261.92/262.35 ), ! alpha2( X, skol6( skol3( skol1 ) ) ) }.
% 261.92/262.35 parent0[1]: (36010) {G12,W8,D3,L2,V3,M2} R(35453,29) { ! alpha2( X, Y ),
% 261.92/262.35 skol7( Z, Y ) ==> Y }.
% 261.92/262.35 parent1[0; 1]: (6751) {G7,W7,D5,L1,V0,M1} R(6637,345) { in( skol7( skol1,
% 261.92/262.35 skol6( skol3( skol1 ) ) ), skol1 ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 Y := skol6( skol3( skol1 ) )
% 261.92/262.35 Z := skol1
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71945) {G9,W5,D4,L1,V1,M1} { ! alpha2( X, skol6( skol3( skol1
% 261.92/262.35 ) ) ) }.
% 261.92/262.35 parent0[0]: (6632) {G9,W5,D4,L1,V0,M1} F(6631);r(1189) { ! in( skol6( skol3
% 261.92/262.35 ( skol1 ) ), skol1 ) }.
% 261.92/262.35 parent1[0]: (71944) {G8,W10,D4,L2,V1,M2} { in( skol6( skol3( skol1 ) ),
% 261.92/262.35 skol1 ), ! alpha2( X, skol6( skol3( skol1 ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (36152) {G13,W5,D4,L1,V1,M1} P(36010,6751);r(6632) { ! alpha2
% 261.92/262.35 ( X, skol6( skol3( skol1 ) ) ) }.
% 261.92/262.35 parent0: (71945) {G9,W5,D4,L1,V1,M1} { ! alpha2( X, skol6( skol3( skol1 )
% 261.92/262.35 ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := X
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 0 ==> 0
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 resolution: (71946) {G10,W0,D0,L0,V0,M0} { }.
% 261.92/262.35 parent0[0]: (36152) {G13,W5,D4,L1,V1,M1} P(36010,6751);r(6632) { ! alpha2(
% 261.92/262.35 X, skol6( skol3( skol1 ) ) ) }.
% 261.92/262.35 parent1[0]: (12967) {G9,W7,D4,L1,V0,M1} R(12953,1150) { alpha2( skol3(
% 261.92/262.35 skol3( skol1 ) ), skol6( skol3( skol1 ) ) ) }.
% 261.92/262.35 substitution0:
% 261.92/262.35 X := skol3( skol3( skol1 ) )
% 261.92/262.35 end
% 261.92/262.35 substitution1:
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 subsumption: (36166) {G14,W0,D0,L0,V0,M0} R(36152,12967) { }.
% 261.92/262.35 parent0: (71946) {G10,W0,D0,L0,V0,M0} { }.
% 261.92/262.35 substitution0:
% 261.92/262.35 end
% 261.92/262.35 permutation0:
% 261.92/262.35 end
% 261.92/262.35
% 261.92/262.35 Proof check complete!
% 261.92/262.35
% 261.92/262.35 Memory use:
% 261.92/262.35
% 261.92/262.35 space for terms: 535736
% 261.92/262.35 space for clauses: 1366808
% 261.92/262.35
% 261.92/262.35
% 261.92/262.35 clauses generated: 210771
% 261.92/262.35 clauses kept: 36167
% 261.92/262.35 clauses selected: 1821
% 261.92/262.35 clauses deleted: 3737
% 261.92/262.35 clauses inuse deleted: 163
% 261.92/262.35
% 261.92/262.35 subsentry: 317798606
% 261.92/262.35 literals s-matched: 130486078
% 261.92/262.35 literals matched: 103654358
% 261.92/262.35 full subsumption: 102875927
% 261.92/262.35
% 261.92/262.35 checksum: -302401712
% 261.92/262.35
% 261.92/262.35
% 261.92/262.35 Bliksem ended
%------------------------------------------------------------------------------