TSTP Solution File: SWV409+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV409+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:24:46 EDT 2022
% Result : Theorem 91.56s 91.97s
% Output : Refutation 91.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV409+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jun 14 17:14:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 8.70/9.10 *** allocated 10000 integers for termspace/termends
% 8.70/9.10 *** allocated 10000 integers for clauses
% 8.70/9.10 *** allocated 10000 integers for justifications
% 8.70/9.10 Bliksem 1.12
% 8.70/9.10
% 8.70/9.10
% 8.70/9.10 Automatic Strategy Selection
% 8.70/9.10
% 8.70/9.10
% 8.70/9.10 Clauses:
% 8.70/9.10
% 8.70/9.10 { ! less_than( X, Z ), ! less_than( Z, Y ), less_than( X, Y ) }.
% 8.70/9.10 { less_than( X, Y ), less_than( Y, X ) }.
% 8.70/9.10 { less_than( X, X ) }.
% 8.70/9.10 { ! strictly_less_than( X, Y ), less_than( X, Y ) }.
% 8.70/9.10 { ! strictly_less_than( X, Y ), ! less_than( Y, X ) }.
% 8.70/9.10 { ! less_than( X, Y ), less_than( Y, X ), strictly_less_than( X, Y ) }.
% 8.70/9.10 { less_than( bottom, X ) }.
% 8.70/9.10 { ! isnonempty_slb( create_slb ) }.
% 8.70/9.10 { isnonempty_slb( insert_slb( X, pair( Y, Z ) ) ) }.
% 8.70/9.10 { ! contains_slb( create_slb, X ) }.
% 8.70/9.10 { ! contains_slb( insert_slb( X, pair( Y, T ) ), Z ), contains_slb( X, Z )
% 8.70/9.10 , Y = Z }.
% 8.70/9.10 { ! contains_slb( X, Z ), contains_slb( insert_slb( X, pair( Y, T ) ), Z )
% 8.70/9.10 }.
% 8.70/9.10 { ! Y = Z, contains_slb( insert_slb( X, pair( Y, T ) ), Z ) }.
% 8.70/9.10 { ! pair_in_list( create_slb, X, Y ) }.
% 8.70/9.10 { ! pair_in_list( insert_slb( X, pair( Y, T ) ), Z, U ), pair_in_list( X, Z
% 8.70/9.10 , U ), alpha1( Y, Z, T, U ) }.
% 8.70/9.10 { ! pair_in_list( X, Z, U ), pair_in_list( insert_slb( X, pair( Y, T ) ), Z
% 8.70/9.10 , U ) }.
% 8.70/9.10 { ! alpha1( Y, Z, T, U ), pair_in_list( insert_slb( X, pair( Y, T ) ), Z, U
% 8.70/9.10 ) }.
% 8.70/9.10 { ! alpha1( X, Y, Z, T ), X = Y }.
% 8.70/9.10 { ! alpha1( X, Y, Z, T ), Z = T }.
% 8.70/9.10 { ! X = Y, ! Z = T, alpha1( X, Y, Z, T ) }.
% 8.70/9.10 { remove_slb( insert_slb( X, pair( Y, Z ) ), Y ) = X }.
% 8.70/9.10 { Y = Z, ! contains_slb( X, Z ), remove_slb( insert_slb( X, pair( Y, T ) )
% 8.70/9.10 , Z ) = insert_slb( remove_slb( X, Z ), pair( Y, T ) ) }.
% 8.70/9.10 { lookup_slb( insert_slb( X, pair( Y, Z ) ), Y ) = Z }.
% 8.70/9.10 { Y = Z, ! contains_slb( X, Z ), lookup_slb( insert_slb( X, pair( Y, T ) )
% 8.70/9.10 , Z ) = lookup_slb( X, Z ) }.
% 8.70/9.10 { update_slb( create_slb, X ) = create_slb }.
% 8.70/9.10 { ! strictly_less_than( Y, X ), update_slb( insert_slb( Z, pair( T, Y ) ),
% 8.70/9.10 X ) = insert_slb( update_slb( Z, X ), pair( T, X ) ) }.
% 8.70/9.10 { ! less_than( X, Y ), update_slb( insert_slb( Z, pair( T, Y ) ), X ) =
% 8.70/9.10 insert_slb( update_slb( Z, X ), pair( T, Y ) ) }.
% 8.70/9.10 { ! contains_slb( X, Y ), pair_in_list( X, Y, skol1( X, Y ) ) }.
% 8.70/9.10 { ! pair_in_list( X, Y, T ), ! strictly_less_than( Y, Z ), !
% 8.70/9.10 strictly_less_than( T, Z ), pair_in_list( update_slb( X, Z ), Y, Z ) }.
% 8.70/9.10 { ! pair_in_list( X, Y, T ), ! strictly_less_than( Y, Z ), ! less_than( Z,
% 8.70/9.10 T ), less_than( Z, skol2( U, W, Z ) ) }.
% 8.70/9.10 { ! pair_in_list( X, Y, T ), ! strictly_less_than( Y, Z ), ! less_than( Z,
% 8.70/9.10 T ), pair_in_list( update_slb( X, Z ), Y, skol2( X, Y, Z ) ) }.
% 8.70/9.10 { contains_slb( skol3, skol4 ) }.
% 8.70/9.10 { strictly_less_than( skol4, skol5 ) }.
% 8.70/9.10 { ! pair_in_list( update_slb( skol3, skol5 ), skol4, skol5 ) }.
% 8.70/9.10 { ! pair_in_list( update_slb( skol3, skol5 ), skol4, X ), ! less_than(
% 8.70/9.10 skol5, X ) }.
% 8.70/9.10
% 8.70/9.10 percentage equality = 0.211268, percentage horn = 0.828571
% 8.70/9.10 This is a problem with some equality
% 8.70/9.10
% 8.70/9.10
% 8.70/9.10
% 8.70/9.10 Options Used:
% 8.70/9.10
% 8.70/9.10 useres = 1
% 8.70/9.10 useparamod = 1
% 8.70/9.10 useeqrefl = 1
% 8.70/9.10 useeqfact = 1
% 8.70/9.10 usefactor = 1
% 8.70/9.10 usesimpsplitting = 0
% 8.70/9.10 usesimpdemod = 5
% 8.70/9.10 usesimpres = 3
% 8.70/9.10
% 8.70/9.10 resimpinuse = 1000
% 8.70/9.10 resimpclauses = 20000
% 8.70/9.10 substype = eqrewr
% 8.70/9.10 backwardsubs = 1
% 8.70/9.10 selectoldest = 5
% 8.70/9.10
% 8.70/9.10 litorderings [0] = split
% 8.70/9.10 litorderings [1] = extend the termordering, first sorting on arguments
% 8.70/9.10
% 8.70/9.10 termordering = kbo
% 8.70/9.10
% 8.70/9.10 litapriori = 0
% 8.70/9.10 termapriori = 1
% 8.70/9.10 litaposteriori = 0
% 8.70/9.10 termaposteriori = 0
% 8.70/9.10 demodaposteriori = 0
% 8.70/9.10 ordereqreflfact = 0
% 8.70/9.10
% 8.70/9.10 litselect = negord
% 8.70/9.10
% 8.70/9.10 maxweight = 15
% 8.70/9.10 maxdepth = 30000
% 8.70/9.10 maxlength = 115
% 8.70/9.10 maxnrvars = 195
% 8.70/9.10 excuselevel = 1
% 8.70/9.10 increasemaxweight = 1
% 8.70/9.10
% 8.70/9.10 maxselected = 10000000
% 8.70/9.10 maxnrclauses = 10000000
% 8.70/9.10
% 8.70/9.10 showgenerated = 0
% 8.70/9.10 showkept = 0
% 8.70/9.10 showselected = 0
% 8.70/9.10 showdeleted = 0
% 8.70/9.10 showresimp = 1
% 8.70/9.10 showstatus = 2000
% 8.70/9.10
% 8.70/9.10 prologoutput = 0
% 8.70/9.10 nrgoals = 5000000
% 8.70/9.10 totalproof = 1
% 8.70/9.10
% 8.70/9.10 Symbols occurring in the translation:
% 8.70/9.10
% 8.70/9.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 8.70/9.10 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 8.70/9.10 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 8.70/9.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.70/9.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.70/9.10 less_than [38, 2] (w:1, o:46, a:1, s:1, b:0),
% 8.70/9.10 strictly_less_than [39, 2] (w:1, o:48, a:1, s:1, b:0),
% 91.56/91.97 bottom [40, 0] (w:1, o:9, a:1, s:1, b:0),
% 91.56/91.97 create_slb [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 91.56/91.97 isnonempty_slb [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 91.56/91.97 pair [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 91.56/91.97 insert_slb [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 91.56/91.97 contains_slb [45, 2] (w:1, o:51, a:1, s:1, b:0),
% 91.56/91.97 pair_in_list [47, 3] (w:1, o:55, a:1, s:1, b:0),
% 91.56/91.97 remove_slb [49, 2] (w:1, o:47, a:1, s:1, b:0),
% 91.56/91.97 lookup_slb [50, 2] (w:1, o:52, a:1, s:1, b:0),
% 91.56/91.97 update_slb [51, 2] (w:1, o:53, a:1, s:1, b:0),
% 91.56/91.97 alpha1 [52, 4] (w:1, o:57, a:1, s:1, b:1),
% 91.56/91.97 skol1 [53, 2] (w:1, o:54, a:1, s:1, b:1),
% 91.56/91.97 skol2 [54, 3] (w:1, o:56, a:1, s:1, b:1),
% 91.56/91.97 skol3 [55, 0] (w:1, o:13, a:1, s:1, b:1),
% 91.56/91.97 skol4 [56, 0] (w:1, o:14, a:1, s:1, b:1),
% 91.56/91.97 skol5 [57, 0] (w:1, o:15, a:1, s:1, b:1).
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Starting Search:
% 91.56/91.97
% 91.56/91.97 *** allocated 15000 integers for clauses
% 91.56/91.97 *** allocated 22500 integers for clauses
% 91.56/91.97 *** allocated 33750 integers for clauses
% 91.56/91.97 *** allocated 15000 integers for termspace/termends
% 91.56/91.97 *** allocated 50625 integers for clauses
% 91.56/91.97 *** allocated 22500 integers for termspace/termends
% 91.56/91.97 *** allocated 75937 integers for clauses
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 33750 integers for termspace/termends
% 91.56/91.97 *** allocated 113905 integers for clauses
% 91.56/91.97 *** allocated 50625 integers for termspace/termends
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 7793
% 91.56/91.97 Kept: 2345
% 91.56/91.97 Inuse: 192
% 91.56/91.97 Deleted: 4
% 91.56/91.97 Deletedinuse: 0
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 170857 integers for clauses
% 91.56/91.97 *** allocated 75937 integers for termspace/termends
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 256285 integers for clauses
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 30801
% 91.56/91.97 Kept: 4361
% 91.56/91.97 Inuse: 424
% 91.56/91.97 Deleted: 4
% 91.56/91.97 Deletedinuse: 0
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 113905 integers for termspace/termends
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 384427 integers for clauses
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 49738
% 91.56/91.97 Kept: 6363
% 91.56/91.97 Inuse: 524
% 91.56/91.97 Deleted: 12
% 91.56/91.97 Deletedinuse: 1
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 170857 integers for termspace/termends
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 66892
% 91.56/91.97 Kept: 8384
% 91.56/91.97 Inuse: 604
% 91.56/91.97 Deleted: 13
% 91.56/91.97 Deletedinuse: 2
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 576640 integers for clauses
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 93987
% 91.56/91.97 Kept: 10417
% 91.56/91.97 Inuse: 785
% 91.56/91.97 Deleted: 13
% 91.56/91.97 Deletedinuse: 2
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 256285 integers for termspace/termends
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 117602
% 91.56/91.97 Kept: 12422
% 91.56/91.97 Inuse: 990
% 91.56/91.97 Deleted: 13
% 91.56/91.97 Deletedinuse: 2
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 139573
% 91.56/91.97 Kept: 14552
% 91.56/91.97 Inuse: 1077
% 91.56/91.97 Deleted: 15
% 91.56/91.97 Deletedinuse: 2
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 864960 integers for clauses
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 384427 integers for termspace/termends
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 216901
% 91.56/91.97 Kept: 16552
% 91.56/91.97 Inuse: 1285
% 91.56/91.97 Deleted: 19
% 91.56/91.97 Deletedinuse: 2
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 294774
% 91.56/91.97 Kept: 18552
% 91.56/91.97 Inuse: 1670
% 91.56/91.97 Deleted: 19
% 91.56/91.97 Deletedinuse: 2
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying clauses:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 348092
% 91.56/91.97 Kept: 20565
% 91.56/91.97 Inuse: 1863
% 91.56/91.97 Deleted: 571
% 91.56/91.97 Deletedinuse: 2
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 1297440 integers for clauses
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 406879
% 91.56/91.97 Kept: 22584
% 91.56/91.97 Inuse: 2008
% 91.56/91.97 Deleted: 571
% 91.56/91.97 Deletedinuse: 2
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 576640 integers for termspace/termends
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 425677
% 91.56/91.97 Kept: 24888
% 91.56/91.97 Inuse: 2020
% 91.56/91.97 Deleted: 571
% 91.56/91.97 Deletedinuse: 2
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 463634
% 91.56/91.97 Kept: 26936
% 91.56/91.97 Inuse: 2070
% 91.56/91.97 Deleted: 571
% 91.56/91.97 Deletedinuse: 2
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 487745
% 91.56/91.97 Kept: 28957
% 91.56/91.97 Inuse: 2127
% 91.56/91.97 Deleted: 572
% 91.56/91.97 Deletedinuse: 2
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 542817
% 91.56/91.97 Kept: 31030
% 91.56/91.97 Inuse: 2278
% 91.56/91.97 Deleted: 660
% 91.56/91.97 Deletedinuse: 82
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 775865
% 91.56/91.97 Kept: 33452
% 91.56/91.97 Inuse: 2490
% 91.56/91.97 Deleted: 660
% 91.56/91.97 Deletedinuse: 82
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 1946160 integers for clauses
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 809513
% 91.56/91.97 Kept: 36107
% 91.56/91.97 Inuse: 2507
% 91.56/91.97 Deleted: 660
% 91.56/91.97 Deletedinuse: 82
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 864960 integers for termspace/termends
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 1004711
% 91.56/91.97 Kept: 38169
% 91.56/91.97 Inuse: 2643
% 91.56/91.97 Deleted: 660
% 91.56/91.97 Deletedinuse: 82
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying clauses:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 1073651
% 91.56/91.97 Kept: 41272
% 91.56/91.97 Inuse: 2737
% 91.56/91.97 Deleted: 3864
% 91.56/91.97 Deletedinuse: 82
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 1093030
% 91.56/91.97 Kept: 43613
% 91.56/91.97 Inuse: 2740
% 91.56/91.97 Deleted: 3864
% 91.56/91.97 Deletedinuse: 82
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 1287081
% 91.56/91.97 Kept: 45638
% 91.56/91.97 Inuse: 2962
% 91.56/91.97 Deleted: 3872
% 91.56/91.97 Deletedinuse: 90
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 1332023
% 91.56/91.97 Kept: 47684
% 91.56/91.97 Inuse: 3072
% 91.56/91.97 Deleted: 3884
% 91.56/91.97 Deletedinuse: 94
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 1848191
% 91.56/91.97 Kept: 49720
% 91.56/91.97 Inuse: 3353
% 91.56/91.97 Deleted: 3884
% 91.56/91.97 Deletedinuse: 94
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 2084398
% 91.56/91.97 Kept: 51726
% 91.56/91.97 Inuse: 3489
% 91.56/91.97 Deleted: 3884
% 91.56/91.97 Deletedinuse: 94
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 2919240 integers for clauses
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 2252948
% 91.56/91.97 Kept: 53743
% 91.56/91.97 Inuse: 3626
% 91.56/91.97 Deleted: 3884
% 91.56/91.97 Deletedinuse: 94
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 *** allocated 1297440 integers for termspace/termends
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 2584350
% 91.56/91.97 Kept: 55819
% 91.56/91.97 Inuse: 3831
% 91.56/91.97 Deleted: 3884
% 91.56/91.97 Deletedinuse: 94
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 2725530
% 91.56/91.97 Kept: 57864
% 91.56/91.97 Inuse: 3929
% 91.56/91.97 Deleted: 3884
% 91.56/91.97 Deletedinuse: 94
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 2862356
% 91.56/91.97 Kept: 59864
% 91.56/91.97 Inuse: 4022
% 91.56/91.97 Deleted: 3884
% 91.56/91.97 Deletedinuse: 94
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying clauses:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 3048910
% 91.56/91.97 Kept: 61880
% 91.56/91.97 Inuse: 4177
% 91.56/91.97 Deleted: 4985
% 91.56/91.97 Deletedinuse: 94
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 3109557
% 91.56/91.97 Kept: 63880
% 91.56/91.97 Inuse: 4276
% 91.56/91.97 Deleted: 4985
% 91.56/91.97 Deletedinuse: 94
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 3300015
% 91.56/91.97 Kept: 65890
% 91.56/91.97 Inuse: 4458
% 91.56/91.97 Deleted: 4985
% 91.56/91.97 Deletedinuse: 94
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 3375475
% 91.56/91.97 Kept: 68275
% 91.56/91.97 Inuse: 4540
% 91.56/91.97 Deleted: 5000
% 91.56/91.97 Deletedinuse: 109
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Intermediate Status:
% 91.56/91.97 Generated: 3464060
% 91.56/91.97 Kept: 70356
% 91.56/91.97 Inuse: 4622
% 91.56/91.97 Deleted: 5006
% 91.56/91.97 Deletedinuse: 115
% 91.56/91.97
% 91.56/91.97 Resimplifying inuse:
% 91.56/91.97 Done
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Bliksems!, er is een bewijs:
% 91.56/91.97 % SZS status Theorem
% 91.56/91.97 % SZS output start Refutation
% 91.56/91.97
% 91.56/91.97 (0) {G0,W9,D2,L3,V3,M3} I { ! less_than( X, Z ), ! less_than( Z, Y ),
% 91.56/91.97 less_than( X, Y ) }.
% 91.56/91.97 (1) {G0,W6,D2,L2,V2,M2} I { less_than( X, Y ), less_than( Y, X ) }.
% 91.56/91.97 (2) {G0,W3,D2,L1,V1,M1} I { less_than( X, X ) }.
% 91.56/91.97 (4) {G0,W6,D2,L2,V2,M2} I { ! strictly_less_than( X, Y ), ! less_than( Y, X
% 91.56/91.97 ) }.
% 91.56/91.97 (5) {G1,W6,D2,L2,V2,M2} I;r(1) { less_than( Y, X ), strictly_less_than( X,
% 91.56/91.97 Y ) }.
% 91.56/91.97 (6) {G0,W3,D2,L1,V1,M1} I { less_than( bottom, X ) }.
% 91.56/91.97 (16) {G0,W13,D4,L2,V5,M2} I { ! alpha1( Y, Z, T, U ), pair_in_list(
% 91.56/91.97 insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 91.56/91.97 (18) {G0,W8,D2,L2,V4,M2} I { ! alpha1( X, Y, Z, T ), Z = T }.
% 91.56/91.97 (19) {G0,W11,D2,L3,V4,M3} I { ! X = Y, ! Z = T, alpha1( X, Y, Z, T ) }.
% 91.56/91.97 (27) {G0,W9,D3,L2,V2,M2} I { ! contains_slb( X, Y ), pair_in_list( X, Y,
% 91.56/91.97 skol1( X, Y ) ) }.
% 91.56/91.97 (28) {G0,W16,D3,L4,V4,M4} I { ! pair_in_list( X, Y, T ), !
% 91.56/91.97 strictly_less_than( Y, Z ), ! strictly_less_than( T, Z ), pair_in_list(
% 91.56/91.97 update_slb( X, Z ), Y, Z ) }.
% 91.56/91.97 (29) {G0,W16,D3,L4,V6,M4} I { ! pair_in_list( X, Y, T ), !
% 91.56/91.97 strictly_less_than( Y, Z ), ! less_than( Z, T ), less_than( Z, skol2( U,
% 91.56/91.97 W, Z ) ) }.
% 91.56/91.97 (30) {G0,W19,D3,L4,V4,M4} I { ! pair_in_list( X, Y, T ), !
% 91.56/91.97 strictly_less_than( Y, Z ), ! less_than( Z, T ), pair_in_list( update_slb
% 91.56/91.97 ( X, Z ), Y, skol2( X, Y, Z ) ) }.
% 91.56/91.97 (31) {G0,W3,D2,L1,V0,M1} I { contains_slb( skol3, skol4 ) }.
% 91.56/91.97 (32) {G0,W3,D2,L1,V0,M1} I { strictly_less_than( skol4, skol5 ) }.
% 91.56/91.97 (33) {G0,W6,D3,L1,V0,M1} I { ! pair_in_list( update_slb( skol3, skol5 ),
% 91.56/91.97 skol4, skol5 ) }.
% 91.56/91.97 (34) {G0,W9,D3,L2,V1,M2} I { ! pair_in_list( update_slb( skol3, skol5 ),
% 91.56/91.97 skol4, X ), ! less_than( skol5, X ) }.
% 91.56/91.97 (37) {G1,W8,D2,L2,V3,M2} Q(19) { ! X = Y, alpha1( Z, Z, X, Y ) }.
% 91.56/91.97 (38) {G1,W8,D2,L2,V3,M2} Q(19) { ! X = Y, alpha1( X, Y, Z, Z ) }.
% 91.56/91.97 (39) {G2,W5,D2,L1,V2,M1} Q(38) { alpha1( X, X, Y, Y ) }.
% 91.56/91.97 (42) {G1,W6,D2,L2,V2,M2} R(0,6) { ! less_than( X, bottom ), less_than( X, Y
% 91.56/91.97 ) }.
% 91.56/91.97 (45) {G2,W6,D2,L2,V2,M2} R(5,42) { strictly_less_than( bottom, X ),
% 91.56/91.97 less_than( X, Y ) }.
% 91.56/91.97 (52) {G1,W3,D2,L1,V0,M1} R(4,32) { ! less_than( skol5, skol4 ) }.
% 91.56/91.97 (62) {G3,W3,D2,L1,V0,M1} R(52,45) { strictly_less_than( bottom, skol5 ) }.
% 91.56/91.97 (183) {G3,W8,D4,L1,V3,M1} R(16,39) { pair_in_list( insert_slb( X, pair( Y,
% 91.56/91.97 Z ) ), Y, Z ) }.
% 91.56/91.97 (535) {G1,W8,D2,L2,V3,M2} P(18,31) { contains_slb( X, skol4 ), ! alpha1( Y
% 91.56/91.97 , Z, skol3, X ) }.
% 91.56/91.97 (1040) {G1,W6,D3,L1,V0,M1} R(27,31) { pair_in_list( skol3, skol4, skol1(
% 91.56/91.97 skol3, skol4 ) ) }.
% 91.56/91.97 (1071) {G1,W7,D2,L2,V1,M2} R(28,33);r(32) { ! pair_in_list( skol3, skol4, X
% 91.56/91.97 ), ! strictly_less_than( X, skol5 ) }.
% 91.56/91.97 (1092) {G2,W5,D3,L1,V0,M1} R(1071,1040) { ! strictly_less_than( skol1(
% 91.56/91.97 skol3, skol4 ), skol5 ) }.
% 91.56/91.97 (1102) {G2,W7,D2,L2,V1,M2} R(1071,5) { ! pair_in_list( skol3, skol4, X ),
% 91.56/91.97 less_than( skol5, X ) }.
% 91.56/91.97 (1154) {G3,W5,D3,L1,V0,M1} R(1092,5) { less_than( skol5, skol1( skol3,
% 91.56/91.97 skol4 ) ) }.
% 91.56/91.97 (1171) {G4,W13,D3,L3,V4,M3} R(29,62) { ! pair_in_list( X, bottom, Y ), !
% 91.56/91.97 less_than( skol5, Y ), less_than( skol5, skol2( Z, T, skol5 ) ) }.
% 91.56/91.97 (1312) {G4,W8,D3,L2,V1,M2} R(1154,0) { ! less_than( X, skol5 ), less_than(
% 91.56/91.97 X, skol1( skol3, skol4 ) ) }.
% 91.56/91.97 (2978) {G2,W6,D2,L2,V1,M2} R(535,37) { contains_slb( X, skol4 ), ! skol3 =
% 91.56/91.97 X }.
% 91.56/91.97 (2994) {G3,W9,D3,L2,V1,M2} R(2978,27) { ! skol3 = X, pair_in_list( X, skol4
% 91.56/91.97 , skol1( X, skol4 ) ) }.
% 91.56/91.97 (69934) {G5,W9,D3,L2,V3,M2} R(1171,183) { ! less_than( skol5, X ),
% 91.56/91.97 less_than( skol5, skol2( Y, Z, skol5 ) ) }.
% 91.56/91.97 (70124) {G6,W6,D3,L1,V2,M1} R(69934,1312);r(2) { less_than( skol5, skol2( X
% 91.56/91.97 , Y, skol5 ) ) }.
% 91.56/91.97 (70312) {G7,W9,D3,L1,V2,M1} R(70124,34) { ! pair_in_list( update_slb( skol3
% 91.56/91.97 , skol5 ), skol4, skol2( X, Y, skol5 ) ) }.
% 91.56/91.97 (70741) {G8,W7,D2,L2,V1,M2} R(70312,30);r(32) { ! pair_in_list( skol3,
% 91.56/91.97 skol4, X ), ! less_than( skol5, X ) }.
% 91.56/91.97 (70774) {G9,W4,D2,L1,V1,M1} S(70741);r(1102) { ! pair_in_list( skol3, skol4
% 91.56/91.97 , X ) }.
% 91.56/91.97 (70805) {G10,W0,D0,L0,V0,M0} R(70774,2994);q { }.
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 % SZS output end Refutation
% 91.56/91.97 found a proof!
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Unprocessed initial clauses:
% 91.56/91.97
% 91.56/91.97 (70807) {G0,W9,D2,L3,V3,M3} { ! less_than( X, Z ), ! less_than( Z, Y ),
% 91.56/91.97 less_than( X, Y ) }.
% 91.56/91.97 (70808) {G0,W6,D2,L2,V2,M2} { less_than( X, Y ), less_than( Y, X ) }.
% 91.56/91.97 (70809) {G0,W3,D2,L1,V1,M1} { less_than( X, X ) }.
% 91.56/91.97 (70810) {G0,W6,D2,L2,V2,M2} { ! strictly_less_than( X, Y ), less_than( X,
% 91.56/91.97 Y ) }.
% 91.56/91.97 (70811) {G0,W6,D2,L2,V2,M2} { ! strictly_less_than( X, Y ), ! less_than( Y
% 91.56/91.97 , X ) }.
% 91.56/91.97 (70812) {G0,W9,D2,L3,V2,M3} { ! less_than( X, Y ), less_than( Y, X ),
% 91.56/91.97 strictly_less_than( X, Y ) }.
% 91.56/91.97 (70813) {G0,W3,D2,L1,V1,M1} { less_than( bottom, X ) }.
% 91.56/91.97 (70814) {G0,W2,D2,L1,V0,M1} { ! isnonempty_slb( create_slb ) }.
% 91.56/91.97 (70815) {G0,W6,D4,L1,V3,M1} { isnonempty_slb( insert_slb( X, pair( Y, Z )
% 91.56/91.97 ) ) }.
% 91.56/91.97 (70816) {G0,W3,D2,L1,V1,M1} { ! contains_slb( create_slb, X ) }.
% 91.56/91.97 (70817) {G0,W13,D4,L3,V4,M3} { ! contains_slb( insert_slb( X, pair( Y, T )
% 91.56/91.97 ), Z ), contains_slb( X, Z ), Y = Z }.
% 91.56/91.97 (70818) {G0,W10,D4,L2,V4,M2} { ! contains_slb( X, Z ), contains_slb(
% 91.56/91.97 insert_slb( X, pair( Y, T ) ), Z ) }.
% 91.56/91.97 (70819) {G0,W10,D4,L2,V4,M2} { ! Y = Z, contains_slb( insert_slb( X, pair
% 91.56/91.97 ( Y, T ) ), Z ) }.
% 91.56/91.97 (70820) {G0,W4,D2,L1,V2,M1} { ! pair_in_list( create_slb, X, Y ) }.
% 91.56/91.97 (70821) {G0,W17,D4,L3,V5,M3} { ! pair_in_list( insert_slb( X, pair( Y, T )
% 91.56/91.97 ), Z, U ), pair_in_list( X, Z, U ), alpha1( Y, Z, T, U ) }.
% 91.56/91.97 (70822) {G0,W12,D4,L2,V5,M2} { ! pair_in_list( X, Z, U ), pair_in_list(
% 91.56/91.97 insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 91.56/91.97 (70823) {G0,W13,D4,L2,V5,M2} { ! alpha1( Y, Z, T, U ), pair_in_list(
% 91.56/91.97 insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 91.56/91.97 (70824) {G0,W8,D2,L2,V4,M2} { ! alpha1( X, Y, Z, T ), X = Y }.
% 91.56/91.97 (70825) {G0,W8,D2,L2,V4,M2} { ! alpha1( X, Y, Z, T ), Z = T }.
% 91.56/91.97 (70826) {G0,W11,D2,L3,V4,M3} { ! X = Y, ! Z = T, alpha1( X, Y, Z, T ) }.
% 91.56/91.97 (70827) {G0,W9,D5,L1,V3,M1} { remove_slb( insert_slb( X, pair( Y, Z ) ), Y
% 91.56/91.97 ) = X }.
% 91.56/91.97 (70828) {G0,W21,D5,L3,V4,M3} { Y = Z, ! contains_slb( X, Z ), remove_slb(
% 91.56/91.97 insert_slb( X, pair( Y, T ) ), Z ) = insert_slb( remove_slb( X, Z ), pair
% 91.56/91.97 ( Y, T ) ) }.
% 91.56/91.97 (70829) {G0,W9,D5,L1,V3,M1} { lookup_slb( insert_slb( X, pair( Y, Z ) ), Y
% 91.56/91.97 ) = Z }.
% 91.56/91.97 (70830) {G0,W17,D5,L3,V4,M3} { Y = Z, ! contains_slb( X, Z ), lookup_slb(
% 91.56/91.97 insert_slb( X, pair( Y, T ) ), Z ) = lookup_slb( X, Z ) }.
% 91.56/91.97 (70831) {G0,W5,D3,L1,V1,M1} { update_slb( create_slb, X ) = create_slb }.
% 91.56/91.97 (70832) {G0,W18,D5,L2,V4,M2} { ! strictly_less_than( Y, X ), update_slb(
% 91.56/91.97 insert_slb( Z, pair( T, Y ) ), X ) = insert_slb( update_slb( Z, X ), pair
% 91.56/91.97 ( T, X ) ) }.
% 91.56/91.97 (70833) {G0,W18,D5,L2,V4,M2} { ! less_than( X, Y ), update_slb( insert_slb
% 91.56/91.97 ( Z, pair( T, Y ) ), X ) = insert_slb( update_slb( Z, X ), pair( T, Y ) )
% 91.56/91.97 }.
% 91.56/91.97 (70834) {G0,W9,D3,L2,V2,M2} { ! contains_slb( X, Y ), pair_in_list( X, Y,
% 91.56/91.97 skol1( X, Y ) ) }.
% 91.56/91.97 (70835) {G0,W16,D3,L4,V4,M4} { ! pair_in_list( X, Y, T ), !
% 91.56/91.97 strictly_less_than( Y, Z ), ! strictly_less_than( T, Z ), pair_in_list(
% 91.56/91.97 update_slb( X, Z ), Y, Z ) }.
% 91.56/91.97 (70836) {G0,W16,D3,L4,V6,M4} { ! pair_in_list( X, Y, T ), !
% 91.56/91.97 strictly_less_than( Y, Z ), ! less_than( Z, T ), less_than( Z, skol2( U,
% 91.56/91.97 W, Z ) ) }.
% 91.56/91.97 (70837) {G0,W19,D3,L4,V4,M4} { ! pair_in_list( X, Y, T ), !
% 91.56/91.97 strictly_less_than( Y, Z ), ! less_than( Z, T ), pair_in_list( update_slb
% 91.56/91.97 ( X, Z ), Y, skol2( X, Y, Z ) ) }.
% 91.56/91.97 (70838) {G0,W3,D2,L1,V0,M1} { contains_slb( skol3, skol4 ) }.
% 91.56/91.97 (70839) {G0,W3,D2,L1,V0,M1} { strictly_less_than( skol4, skol5 ) }.
% 91.56/91.97 (70840) {G0,W6,D3,L1,V0,M1} { ! pair_in_list( update_slb( skol3, skol5 ),
% 91.56/91.97 skol4, skol5 ) }.
% 91.56/91.97 (70841) {G0,W9,D3,L2,V1,M2} { ! pair_in_list( update_slb( skol3, skol5 ),
% 91.56/91.97 skol4, X ), ! less_than( skol5, X ) }.
% 91.56/91.97
% 91.56/91.97
% 91.56/91.97 Total Proof:
% 91.56/91.97
% 91.56/91.97 subsumption: (0) {G0,W9,D2,L3,V3,M3} I { ! less_than( X, Z ), ! less_than(
% 91.56/91.97 Z, Y ), less_than( X, Y ) }.
% 91.56/91.97 parent0: (70807) {G0,W9,D2,L3,V3,M3} { ! less_than( X, Z ), ! less_than( Z
% 91.56/91.97 , Y ), less_than( X, Y ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 Z := Z
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 1 ==> 1
% 91.56/91.97 2 ==> 2
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (1) {G0,W6,D2,L2,V2,M2} I { less_than( X, Y ), less_than( Y, X
% 91.56/91.97 ) }.
% 91.56/91.97 parent0: (70808) {G0,W6,D2,L2,V2,M2} { less_than( X, Y ), less_than( Y, X
% 91.56/91.97 ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 1 ==> 1
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 factor: (70846) {G0,W3,D2,L1,V1,M1} { less_than( X, X ) }.
% 91.56/91.97 parent0[0, 1]: (70808) {G0,W6,D2,L2,V2,M2} { less_than( X, Y ), less_than
% 91.56/91.97 ( Y, X ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := X
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { less_than( X, X ) }.
% 91.56/91.97 parent0: (70846) {G0,W3,D2,L1,V1,M1} { less_than( X, X ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (4) {G0,W6,D2,L2,V2,M2} I { ! strictly_less_than( X, Y ), !
% 91.56/91.97 less_than( Y, X ) }.
% 91.56/91.97 parent0: (70811) {G0,W6,D2,L2,V2,M2} { ! strictly_less_than( X, Y ), !
% 91.56/91.97 less_than( Y, X ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 1 ==> 1
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 resolution: (70856) {G1,W9,D2,L3,V2,M3} { less_than( Y, X ),
% 91.56/91.97 strictly_less_than( X, Y ), less_than( Y, X ) }.
% 91.56/91.97 parent0[0]: (70812) {G0,W9,D2,L3,V2,M3} { ! less_than( X, Y ), less_than(
% 91.56/91.97 Y, X ), strictly_less_than( X, Y ) }.
% 91.56/91.97 parent1[0]: (1) {G0,W6,D2,L2,V2,M2} I { less_than( X, Y ), less_than( Y, X
% 91.56/91.97 ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 end
% 91.56/91.97 substitution1:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 factor: (70857) {G1,W6,D2,L2,V2,M2} { less_than( X, Y ),
% 91.56/91.97 strictly_less_than( Y, X ) }.
% 91.56/91.97 parent0[0, 2]: (70856) {G1,W9,D2,L3,V2,M3} { less_than( Y, X ),
% 91.56/91.97 strictly_less_than( X, Y ), less_than( Y, X ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := Y
% 91.56/91.97 Y := X
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (5) {G1,W6,D2,L2,V2,M2} I;r(1) { less_than( Y, X ),
% 91.56/91.97 strictly_less_than( X, Y ) }.
% 91.56/91.97 parent0: (70857) {G1,W6,D2,L2,V2,M2} { less_than( X, Y ),
% 91.56/91.97 strictly_less_than( Y, X ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := Y
% 91.56/91.97 Y := X
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 1 ==> 1
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (6) {G0,W3,D2,L1,V1,M1} I { less_than( bottom, X ) }.
% 91.56/91.97 parent0: (70813) {G0,W3,D2,L1,V1,M1} { less_than( bottom, X ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (16) {G0,W13,D4,L2,V5,M2} I { ! alpha1( Y, Z, T, U ),
% 91.56/91.97 pair_in_list( insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 91.56/91.97 parent0: (70823) {G0,W13,D4,L2,V5,M2} { ! alpha1( Y, Z, T, U ),
% 91.56/91.97 pair_in_list( insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 Z := Z
% 91.56/91.97 T := T
% 91.56/91.97 U := U
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 1 ==> 1
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (18) {G0,W8,D2,L2,V4,M2} I { ! alpha1( X, Y, Z, T ), Z = T }.
% 91.56/91.97 parent0: (70825) {G0,W8,D2,L2,V4,M2} { ! alpha1( X, Y, Z, T ), Z = T }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 Z := Z
% 91.56/91.97 T := T
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 1 ==> 1
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (19) {G0,W11,D2,L3,V4,M3} I { ! X = Y, ! Z = T, alpha1( X, Y,
% 91.56/91.97 Z, T ) }.
% 91.56/91.97 parent0: (70826) {G0,W11,D2,L3,V4,M3} { ! X = Y, ! Z = T, alpha1( X, Y, Z
% 91.56/91.97 , T ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 Z := Z
% 91.56/91.97 T := T
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 1 ==> 1
% 91.56/91.97 2 ==> 2
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (27) {G0,W9,D3,L2,V2,M2} I { ! contains_slb( X, Y ),
% 91.56/91.97 pair_in_list( X, Y, skol1( X, Y ) ) }.
% 91.56/91.97 parent0: (70834) {G0,W9,D3,L2,V2,M2} { ! contains_slb( X, Y ),
% 91.56/91.97 pair_in_list( X, Y, skol1( X, Y ) ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 1 ==> 1
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (28) {G0,W16,D3,L4,V4,M4} I { ! pair_in_list( X, Y, T ), !
% 91.56/91.97 strictly_less_than( Y, Z ), ! strictly_less_than( T, Z ), pair_in_list(
% 91.56/91.97 update_slb( X, Z ), Y, Z ) }.
% 91.56/91.97 parent0: (70835) {G0,W16,D3,L4,V4,M4} { ! pair_in_list( X, Y, T ), !
% 91.56/91.97 strictly_less_than( Y, Z ), ! strictly_less_than( T, Z ), pair_in_list(
% 91.56/91.97 update_slb( X, Z ), Y, Z ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 Z := Z
% 91.56/91.97 T := T
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 1 ==> 1
% 91.56/91.97 2 ==> 2
% 91.56/91.97 3 ==> 3
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (29) {G0,W16,D3,L4,V6,M4} I { ! pair_in_list( X, Y, T ), !
% 91.56/91.97 strictly_less_than( Y, Z ), ! less_than( Z, T ), less_than( Z, skol2( U,
% 91.56/91.97 W, Z ) ) }.
% 91.56/91.97 parent0: (70836) {G0,W16,D3,L4,V6,M4} { ! pair_in_list( X, Y, T ), !
% 91.56/91.97 strictly_less_than( Y, Z ), ! less_than( Z, T ), less_than( Z, skol2( U,
% 91.56/91.97 W, Z ) ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 Z := Z
% 91.56/91.97 T := T
% 91.56/91.97 U := U
% 91.56/91.97 W := W
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 1 ==> 1
% 91.56/91.97 2 ==> 2
% 91.56/91.97 3 ==> 3
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (30) {G0,W19,D3,L4,V4,M4} I { ! pair_in_list( X, Y, T ), !
% 91.56/91.97 strictly_less_than( Y, Z ), ! less_than( Z, T ), pair_in_list( update_slb
% 91.56/91.97 ( X, Z ), Y, skol2( X, Y, Z ) ) }.
% 91.56/91.97 parent0: (70837) {G0,W19,D3,L4,V4,M4} { ! pair_in_list( X, Y, T ), !
% 91.56/91.97 strictly_less_than( Y, Z ), ! less_than( Z, T ), pair_in_list( update_slb
% 91.56/91.97 ( X, Z ), Y, skol2( X, Y, Z ) ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 Z := Z
% 91.56/91.97 T := T
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 1 ==> 1
% 91.56/91.97 2 ==> 2
% 91.56/91.97 3 ==> 3
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (31) {G0,W3,D2,L1,V0,M1} I { contains_slb( skol3, skol4 ) }.
% 91.56/91.97 parent0: (70838) {G0,W3,D2,L1,V0,M1} { contains_slb( skol3, skol4 ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (32) {G0,W3,D2,L1,V0,M1} I { strictly_less_than( skol4, skol5
% 91.56/91.97 ) }.
% 91.56/91.97 parent0: (70839) {G0,W3,D2,L1,V0,M1} { strictly_less_than( skol4, skol5 )
% 91.56/91.97 }.
% 91.56/91.97 substitution0:
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (33) {G0,W6,D3,L1,V0,M1} I { ! pair_in_list( update_slb( skol3
% 91.56/91.97 , skol5 ), skol4, skol5 ) }.
% 91.56/91.97 parent0: (70840) {G0,W6,D3,L1,V0,M1} { ! pair_in_list( update_slb( skol3,
% 91.56/91.97 skol5 ), skol4, skol5 ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (34) {G0,W9,D3,L2,V1,M2} I { ! pair_in_list( update_slb( skol3
% 91.56/91.97 , skol5 ), skol4, X ), ! less_than( skol5, X ) }.
% 91.56/91.97 parent0: (70841) {G0,W9,D3,L2,V1,M2} { ! pair_in_list( update_slb( skol3,
% 91.56/91.97 skol5 ), skol4, X ), ! less_than( skol5, X ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 1 ==> 1
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 eqswap: (71082) {G0,W11,D2,L3,V4,M3} { ! Y = X, ! Z = T, alpha1( X, Y, Z,
% 91.56/91.97 T ) }.
% 91.56/91.97 parent0[0]: (19) {G0,W11,D2,L3,V4,M3} I { ! X = Y, ! Z = T, alpha1( X, Y, Z
% 91.56/91.97 , T ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 Z := Z
% 91.56/91.97 T := T
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 eqrefl: (71085) {G0,W8,D2,L2,V3,M2} { ! Y = Z, alpha1( X, X, Y, Z ) }.
% 91.56/91.97 parent0[0]: (71082) {G0,W11,D2,L3,V4,M3} { ! Y = X, ! Z = T, alpha1( X, Y
% 91.56/91.97 , Z, T ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := X
% 91.56/91.97 Z := Y
% 91.56/91.97 T := Z
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (37) {G1,W8,D2,L2,V3,M2} Q(19) { ! X = Y, alpha1( Z, Z, X, Y )
% 91.56/91.97 }.
% 91.56/91.97 parent0: (71085) {G0,W8,D2,L2,V3,M2} { ! Y = Z, alpha1( X, X, Y, Z ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := Z
% 91.56/91.97 Y := X
% 91.56/91.97 Z := Y
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 1 ==> 1
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 eqswap: (71089) {G0,W11,D2,L3,V4,M3} { ! Y = X, ! Z = T, alpha1( X, Y, Z,
% 91.56/91.97 T ) }.
% 91.56/91.97 parent0[0]: (19) {G0,W11,D2,L3,V4,M3} I { ! X = Y, ! Z = T, alpha1( X, Y, Z
% 91.56/91.97 , T ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 Z := Z
% 91.56/91.97 T := T
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 eqrefl: (71093) {G0,W8,D2,L2,V3,M2} { ! X = Y, alpha1( Y, X, Z, Z ) }.
% 91.56/91.97 parent0[1]: (71089) {G0,W11,D2,L3,V4,M3} { ! Y = X, ! Z = T, alpha1( X, Y
% 91.56/91.97 , Z, T ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := Y
% 91.56/91.97 Y := X
% 91.56/91.97 Z := Z
% 91.56/91.97 T := Z
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 eqswap: (71094) {G0,W8,D2,L2,V3,M2} { ! Y = X, alpha1( Y, X, Z, Z ) }.
% 91.56/91.97 parent0[0]: (71093) {G0,W8,D2,L2,V3,M2} { ! X = Y, alpha1( Y, X, Z, Z )
% 91.56/91.97 }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 Z := Z
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (38) {G1,W8,D2,L2,V3,M2} Q(19) { ! X = Y, alpha1( X, Y, Z, Z )
% 91.56/91.97 }.
% 91.56/91.97 parent0: (71094) {G0,W8,D2,L2,V3,M2} { ! Y = X, alpha1( Y, X, Z, Z ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := Y
% 91.56/91.97 Y := X
% 91.56/91.97 Z := Z
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 1 ==> 1
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 eqswap: (71096) {G1,W8,D2,L2,V3,M2} { ! Y = X, alpha1( X, Y, Z, Z ) }.
% 91.56/91.97 parent0[0]: (38) {G1,W8,D2,L2,V3,M2} Q(19) { ! X = Y, alpha1( X, Y, Z, Z )
% 91.56/91.97 }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 Z := Z
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 eqrefl: (71097) {G0,W5,D2,L1,V2,M1} { alpha1( X, X, Y, Y ) }.
% 91.56/91.97 parent0[0]: (71096) {G1,W8,D2,L2,V3,M2} { ! Y = X, alpha1( X, Y, Z, Z )
% 91.56/91.97 }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := X
% 91.56/91.97 Z := Y
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (39) {G2,W5,D2,L1,V2,M1} Q(38) { alpha1( X, X, Y, Y ) }.
% 91.56/91.97 parent0: (71097) {G0,W5,D2,L1,V2,M1} { alpha1( X, X, Y, Y ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 resolution: (71099) {G1,W6,D2,L2,V2,M2} { ! less_than( X, bottom ),
% 91.56/91.97 less_than( X, Y ) }.
% 91.56/91.97 parent0[1]: (0) {G0,W9,D2,L3,V3,M3} I { ! less_than( X, Z ), ! less_than( Z
% 91.56/91.97 , Y ), less_than( X, Y ) }.
% 91.56/91.97 parent1[0]: (6) {G0,W3,D2,L1,V1,M1} I { less_than( bottom, X ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 Z := bottom
% 91.56/91.97 end
% 91.56/91.97 substitution1:
% 91.56/91.97 X := Y
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (42) {G1,W6,D2,L2,V2,M2} R(0,6) { ! less_than( X, bottom ),
% 91.56/91.97 less_than( X, Y ) }.
% 91.56/91.97 parent0: (71099) {G1,W6,D2,L2,V2,M2} { ! less_than( X, bottom ), less_than
% 91.56/91.97 ( X, Y ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 end
% 91.56/91.97 permutation0:
% 91.56/91.97 0 ==> 0
% 91.56/91.97 1 ==> 1
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 resolution: (71100) {G2,W6,D2,L2,V2,M2} { less_than( X, Y ),
% 91.56/91.97 strictly_less_than( bottom, X ) }.
% 91.56/91.97 parent0[0]: (42) {G1,W6,D2,L2,V2,M2} R(0,6) { ! less_than( X, bottom ),
% 91.56/91.97 less_than( X, Y ) }.
% 91.56/91.97 parent1[0]: (5) {G1,W6,D2,L2,V2,M2} I;r(1) { less_than( Y, X ),
% 91.56/91.97 strictly_less_than( X, Y ) }.
% 91.56/91.97 substitution0:
% 91.56/91.97 X := X
% 91.56/91.97 Y := Y
% 91.56/91.97 end
% 91.56/91.97 substitution1:
% 91.56/91.97 X := bottom
% 91.56/91.97 Y := X
% 91.56/91.97 end
% 91.56/91.97
% 91.56/91.97 subsumption: (45) {G2,W6,D2,L2,V2,M2} R(5,42) { strictly_less_than( bottom
% 91.56/91.97 , X ), less_than( X, Y ) }.
% 266.36/266.82 parent0: (71100) {G2,W6,D2,L2,V2,M2} { less_than( X, Y ),
% 266.36/266.82 strictly_less_than( bottom, X ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 Y := Y
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 1
% 266.36/266.82 1 ==> 0
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (71101) {G1,W3,D2,L1,V0,M1} { ! less_than( skol5, skol4 ) }.
% 266.36/266.82 parent0[0]: (4) {G0,W6,D2,L2,V2,M2} I { ! strictly_less_than( X, Y ), !
% 266.36/266.82 less_than( Y, X ) }.
% 266.36/266.82 parent1[0]: (32) {G0,W3,D2,L1,V0,M1} I { strictly_less_than( skol4, skol5 )
% 266.36/266.82 }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := skol4
% 266.36/266.82 Y := skol5
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (52) {G1,W3,D2,L1,V0,M1} R(4,32) { ! less_than( skol5, skol4 )
% 266.36/266.82 }.
% 266.36/266.82 parent0: (71101) {G1,W3,D2,L1,V0,M1} { ! less_than( skol5, skol4 ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (71102) {G2,W3,D2,L1,V0,M1} { strictly_less_than( bottom,
% 266.36/266.82 skol5 ) }.
% 266.36/266.82 parent0[0]: (52) {G1,W3,D2,L1,V0,M1} R(4,32) { ! less_than( skol5, skol4 )
% 266.36/266.82 }.
% 266.36/266.82 parent1[1]: (45) {G2,W6,D2,L2,V2,M2} R(5,42) { strictly_less_than( bottom,
% 266.36/266.82 X ), less_than( X, Y ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 X := skol5
% 266.36/266.82 Y := skol4
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (62) {G3,W3,D2,L1,V0,M1} R(52,45) { strictly_less_than( bottom
% 266.36/266.82 , skol5 ) }.
% 266.36/266.82 parent0: (71102) {G2,W3,D2,L1,V0,M1} { strictly_less_than( bottom, skol5 )
% 266.36/266.82 }.
% 266.36/266.82 substitution0:
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (71103) {G1,W8,D4,L1,V3,M1} { pair_in_list( insert_slb( Z,
% 266.36/266.82 pair( X, Y ) ), X, Y ) }.
% 266.36/266.82 parent0[0]: (16) {G0,W13,D4,L2,V5,M2} I { ! alpha1( Y, Z, T, U ),
% 266.36/266.82 pair_in_list( insert_slb( X, pair( Y, T ) ), Z, U ) }.
% 266.36/266.82 parent1[0]: (39) {G2,W5,D2,L1,V2,M1} Q(38) { alpha1( X, X, Y, Y ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := Z
% 266.36/266.82 Y := X
% 266.36/266.82 Z := X
% 266.36/266.82 T := Y
% 266.36/266.82 U := Y
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 X := X
% 266.36/266.82 Y := Y
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (183) {G3,W8,D4,L1,V3,M1} R(16,39) { pair_in_list( insert_slb
% 266.36/266.82 ( X, pair( Y, Z ) ), Y, Z ) }.
% 266.36/266.82 parent0: (71103) {G1,W8,D4,L1,V3,M1} { pair_in_list( insert_slb( Z, pair(
% 266.36/266.82 X, Y ) ), X, Y ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := Y
% 266.36/266.82 Y := Z
% 266.36/266.82 Z := X
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 *** allocated 15000 integers for justifications
% 266.36/266.82 *** allocated 22500 integers for justifications
% 266.36/266.82 *** allocated 33750 integers for justifications
% 266.36/266.82 *** allocated 50625 integers for justifications
% 266.36/266.82 *** allocated 75937 integers for justifications
% 266.36/266.82 *** allocated 113905 integers for justifications
% 266.36/266.82 *** allocated 170857 integers for justifications
% 266.36/266.82 *** allocated 256285 integers for justifications
% 266.36/266.82 *** allocated 384427 integers for justifications
% 266.36/266.82 *** allocated 576640 integers for justifications
% 266.36/266.82 *** allocated 1946160 integers for termspace/termends
% 266.36/266.82 *** allocated 864960 integers for justifications
% 266.36/266.82 *** allocated 1297440 integers for justifications
% 266.36/266.82 *** allocated 4378860 integers for clauses
% 266.36/266.82 paramod: (82940) {G1,W8,D2,L2,V3,M2} { contains_slb( X, skol4 ), ! alpha1
% 266.36/266.82 ( Y, Z, skol3, X ) }.
% 266.36/266.82 parent0[1]: (18) {G0,W8,D2,L2,V4,M2} I { ! alpha1( X, Y, Z, T ), Z = T }.
% 266.36/266.82 parent1[0; 1]: (31) {G0,W3,D2,L1,V0,M1} I { contains_slb( skol3, skol4 )
% 266.36/266.82 }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := Y
% 266.36/266.82 Y := Z
% 266.36/266.82 Z := skol3
% 266.36/266.82 T := X
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (535) {G1,W8,D2,L2,V3,M2} P(18,31) { contains_slb( X, skol4 )
% 266.36/266.82 , ! alpha1( Y, Z, skol3, X ) }.
% 266.36/266.82 parent0: (82940) {G1,W8,D2,L2,V3,M2} { contains_slb( X, skol4 ), ! alpha1
% 266.36/266.82 ( Y, Z, skol3, X ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 Y := Y
% 266.36/266.82 Z := Z
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 1 ==> 1
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94775) {G1,W6,D3,L1,V0,M1} { pair_in_list( skol3, skol4,
% 266.36/266.82 skol1( skol3, skol4 ) ) }.
% 266.36/266.82 parent0[0]: (27) {G0,W9,D3,L2,V2,M2} I { ! contains_slb( X, Y ),
% 266.36/266.82 pair_in_list( X, Y, skol1( X, Y ) ) }.
% 266.36/266.82 parent1[0]: (31) {G0,W3,D2,L1,V0,M1} I { contains_slb( skol3, skol4 ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := skol3
% 266.36/266.82 Y := skol4
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (1040) {G1,W6,D3,L1,V0,M1} R(27,31) { pair_in_list( skol3,
% 266.36/266.82 skol4, skol1( skol3, skol4 ) ) }.
% 266.36/266.82 parent0: (94775) {G1,W6,D3,L1,V0,M1} { pair_in_list( skol3, skol4, skol1(
% 266.36/266.82 skol3, skol4 ) ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94776) {G1,W10,D2,L3,V1,M3} { ! pair_in_list( skol3, skol4, X
% 266.36/266.82 ), ! strictly_less_than( skol4, skol5 ), ! strictly_less_than( X, skol5
% 266.36/266.82 ) }.
% 266.36/266.82 parent0[0]: (33) {G0,W6,D3,L1,V0,M1} I { ! pair_in_list( update_slb( skol3
% 266.36/266.82 , skol5 ), skol4, skol5 ) }.
% 266.36/266.82 parent1[3]: (28) {G0,W16,D3,L4,V4,M4} I { ! pair_in_list( X, Y, T ), !
% 266.36/266.82 strictly_less_than( Y, Z ), ! strictly_less_than( T, Z ), pair_in_list(
% 266.36/266.82 update_slb( X, Z ), Y, Z ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 X := skol3
% 266.36/266.82 Y := skol4
% 266.36/266.82 Z := skol5
% 266.36/266.82 T := X
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94779) {G1,W7,D2,L2,V1,M2} { ! pair_in_list( skol3, skol4, X
% 266.36/266.82 ), ! strictly_less_than( X, skol5 ) }.
% 266.36/266.82 parent0[1]: (94776) {G1,W10,D2,L3,V1,M3} { ! pair_in_list( skol3, skol4, X
% 266.36/266.82 ), ! strictly_less_than( skol4, skol5 ), ! strictly_less_than( X, skol5
% 266.36/266.82 ) }.
% 266.36/266.82 parent1[0]: (32) {G0,W3,D2,L1,V0,M1} I { strictly_less_than( skol4, skol5 )
% 266.36/266.82 }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (1071) {G1,W7,D2,L2,V1,M2} R(28,33);r(32) { ! pair_in_list(
% 266.36/266.82 skol3, skol4, X ), ! strictly_less_than( X, skol5 ) }.
% 266.36/266.82 parent0: (94779) {G1,W7,D2,L2,V1,M2} { ! pair_in_list( skol3, skol4, X ),
% 266.36/266.82 ! strictly_less_than( X, skol5 ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 1 ==> 1
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94780) {G2,W5,D3,L1,V0,M1} { ! strictly_less_than( skol1(
% 266.36/266.82 skol3, skol4 ), skol5 ) }.
% 266.36/266.82 parent0[0]: (1071) {G1,W7,D2,L2,V1,M2} R(28,33);r(32) { ! pair_in_list(
% 266.36/266.82 skol3, skol4, X ), ! strictly_less_than( X, skol5 ) }.
% 266.36/266.82 parent1[0]: (1040) {G1,W6,D3,L1,V0,M1} R(27,31) { pair_in_list( skol3,
% 266.36/266.82 skol4, skol1( skol3, skol4 ) ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := skol1( skol3, skol4 )
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (1092) {G2,W5,D3,L1,V0,M1} R(1071,1040) { ! strictly_less_than
% 266.36/266.82 ( skol1( skol3, skol4 ), skol5 ) }.
% 266.36/266.82 parent0: (94780) {G2,W5,D3,L1,V0,M1} { ! strictly_less_than( skol1( skol3
% 266.36/266.82 , skol4 ), skol5 ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94781) {G2,W7,D2,L2,V1,M2} { ! pair_in_list( skol3, skol4, X
% 266.36/266.82 ), less_than( skol5, X ) }.
% 266.36/266.82 parent0[1]: (1071) {G1,W7,D2,L2,V1,M2} R(28,33);r(32) { ! pair_in_list(
% 266.36/266.82 skol3, skol4, X ), ! strictly_less_than( X, skol5 ) }.
% 266.36/266.82 parent1[1]: (5) {G1,W6,D2,L2,V2,M2} I;r(1) { less_than( Y, X ),
% 266.36/266.82 strictly_less_than( X, Y ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 X := X
% 266.36/266.82 Y := skol5
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (1102) {G2,W7,D2,L2,V1,M2} R(1071,5) { ! pair_in_list( skol3,
% 266.36/266.82 skol4, X ), less_than( skol5, X ) }.
% 266.36/266.82 parent0: (94781) {G2,W7,D2,L2,V1,M2} { ! pair_in_list( skol3, skol4, X ),
% 266.36/266.82 less_than( skol5, X ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 1 ==> 1
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94782) {G2,W5,D3,L1,V0,M1} { less_than( skol5, skol1( skol3,
% 266.36/266.82 skol4 ) ) }.
% 266.36/266.82 parent0[0]: (1092) {G2,W5,D3,L1,V0,M1} R(1071,1040) { ! strictly_less_than
% 266.36/266.82 ( skol1( skol3, skol4 ), skol5 ) }.
% 266.36/266.82 parent1[1]: (5) {G1,W6,D2,L2,V2,M2} I;r(1) { less_than( Y, X ),
% 266.36/266.82 strictly_less_than( X, Y ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 X := skol1( skol3, skol4 )
% 266.36/266.82 Y := skol5
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (1154) {G3,W5,D3,L1,V0,M1} R(1092,5) { less_than( skol5, skol1
% 266.36/266.82 ( skol3, skol4 ) ) }.
% 266.36/266.82 parent0: (94782) {G2,W5,D3,L1,V0,M1} { less_than( skol5, skol1( skol3,
% 266.36/266.82 skol4 ) ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94783) {G1,W13,D3,L3,V4,M3} { ! pair_in_list( X, bottom, Y )
% 266.36/266.82 , ! less_than( skol5, Y ), less_than( skol5, skol2( Z, T, skol5 ) ) }.
% 266.36/266.82 parent0[1]: (29) {G0,W16,D3,L4,V6,M4} I { ! pair_in_list( X, Y, T ), !
% 266.36/266.82 strictly_less_than( Y, Z ), ! less_than( Z, T ), less_than( Z, skol2( U,
% 266.36/266.82 W, Z ) ) }.
% 266.36/266.82 parent1[0]: (62) {G3,W3,D2,L1,V0,M1} R(52,45) { strictly_less_than( bottom
% 266.36/266.82 , skol5 ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 Y := bottom
% 266.36/266.82 Z := skol5
% 266.36/266.82 T := Y
% 266.36/266.82 U := Z
% 266.36/266.82 W := T
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (1171) {G4,W13,D3,L3,V4,M3} R(29,62) { ! pair_in_list( X,
% 266.36/266.82 bottom, Y ), ! less_than( skol5, Y ), less_than( skol5, skol2( Z, T,
% 266.36/266.82 skol5 ) ) }.
% 266.36/266.82 parent0: (94783) {G1,W13,D3,L3,V4,M3} { ! pair_in_list( X, bottom, Y ), !
% 266.36/266.82 less_than( skol5, Y ), less_than( skol5, skol2( Z, T, skol5 ) ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 Y := Y
% 266.36/266.82 Z := Z
% 266.36/266.82 T := T
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 1 ==> 1
% 266.36/266.82 2 ==> 2
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94785) {G1,W8,D3,L2,V1,M2} { ! less_than( X, skol5 ),
% 266.36/266.82 less_than( X, skol1( skol3, skol4 ) ) }.
% 266.36/266.82 parent0[1]: (0) {G0,W9,D2,L3,V3,M3} I { ! less_than( X, Z ), ! less_than( Z
% 266.36/266.82 , Y ), less_than( X, Y ) }.
% 266.36/266.82 parent1[0]: (1154) {G3,W5,D3,L1,V0,M1} R(1092,5) { less_than( skol5, skol1
% 266.36/266.82 ( skol3, skol4 ) ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 Y := skol1( skol3, skol4 )
% 266.36/266.82 Z := skol5
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (1312) {G4,W8,D3,L2,V1,M2} R(1154,0) { ! less_than( X, skol5 )
% 266.36/266.82 , less_than( X, skol1( skol3, skol4 ) ) }.
% 266.36/266.82 parent0: (94785) {G1,W8,D3,L2,V1,M2} { ! less_than( X, skol5 ), less_than
% 266.36/266.82 ( X, skol1( skol3, skol4 ) ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 1 ==> 1
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 eqswap: (94786) {G1,W8,D2,L2,V3,M2} { ! Y = X, alpha1( Z, Z, X, Y ) }.
% 266.36/266.82 parent0[0]: (37) {G1,W8,D2,L2,V3,M2} Q(19) { ! X = Y, alpha1( Z, Z, X, Y )
% 266.36/266.82 }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 Y := Y
% 266.36/266.82 Z := Z
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94787) {G2,W6,D2,L2,V1,M2} { contains_slb( X, skol4 ), ! X =
% 266.36/266.82 skol3 }.
% 266.36/266.82 parent0[1]: (535) {G1,W8,D2,L2,V3,M2} P(18,31) { contains_slb( X, skol4 ),
% 266.36/266.82 ! alpha1( Y, Z, skol3, X ) }.
% 266.36/266.82 parent1[1]: (94786) {G1,W8,D2,L2,V3,M2} { ! Y = X, alpha1( Z, Z, X, Y )
% 266.36/266.82 }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 Y := Y
% 266.36/266.82 Z := Y
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 X := skol3
% 266.36/266.82 Y := X
% 266.36/266.82 Z := Y
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 eqswap: (94788) {G2,W6,D2,L2,V1,M2} { ! skol3 = X, contains_slb( X, skol4
% 266.36/266.82 ) }.
% 266.36/266.82 parent0[1]: (94787) {G2,W6,D2,L2,V1,M2} { contains_slb( X, skol4 ), ! X =
% 266.36/266.82 skol3 }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (2978) {G2,W6,D2,L2,V1,M2} R(535,37) { contains_slb( X, skol4
% 266.36/266.82 ), ! skol3 = X }.
% 266.36/266.82 parent0: (94788) {G2,W6,D2,L2,V1,M2} { ! skol3 = X, contains_slb( X, skol4
% 266.36/266.82 ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 1
% 266.36/266.82 1 ==> 0
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 eqswap: (94789) {G2,W6,D2,L2,V1,M2} { ! X = skol3, contains_slb( X, skol4
% 266.36/266.82 ) }.
% 266.36/266.82 parent0[1]: (2978) {G2,W6,D2,L2,V1,M2} R(535,37) { contains_slb( X, skol4 )
% 266.36/266.82 , ! skol3 = X }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94790) {G1,W9,D3,L2,V1,M2} { pair_in_list( X, skol4, skol1( X
% 266.36/266.82 , skol4 ) ), ! X = skol3 }.
% 266.36/266.82 parent0[0]: (27) {G0,W9,D3,L2,V2,M2} I { ! contains_slb( X, Y ),
% 266.36/266.82 pair_in_list( X, Y, skol1( X, Y ) ) }.
% 266.36/266.82 parent1[1]: (94789) {G2,W6,D2,L2,V1,M2} { ! X = skol3, contains_slb( X,
% 266.36/266.82 skol4 ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 Y := skol4
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 eqswap: (94791) {G1,W9,D3,L2,V1,M2} { ! skol3 = X, pair_in_list( X, skol4
% 266.36/266.82 , skol1( X, skol4 ) ) }.
% 266.36/266.82 parent0[1]: (94790) {G1,W9,D3,L2,V1,M2} { pair_in_list( X, skol4, skol1( X
% 266.36/266.82 , skol4 ) ), ! X = skol3 }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (2994) {G3,W9,D3,L2,V1,M2} R(2978,27) { ! skol3 = X,
% 266.36/266.82 pair_in_list( X, skol4, skol1( X, skol4 ) ) }.
% 266.36/266.82 parent0: (94791) {G1,W9,D3,L2,V1,M2} { ! skol3 = X, pair_in_list( X, skol4
% 266.36/266.82 , skol1( X, skol4 ) ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 1 ==> 1
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94792) {G4,W9,D3,L2,V3,M2} { ! less_than( skol5, Y ),
% 266.36/266.82 less_than( skol5, skol2( Z, T, skol5 ) ) }.
% 266.36/266.82 parent0[0]: (1171) {G4,W13,D3,L3,V4,M3} R(29,62) { ! pair_in_list( X,
% 266.36/266.82 bottom, Y ), ! less_than( skol5, Y ), less_than( skol5, skol2( Z, T,
% 266.36/266.82 skol5 ) ) }.
% 266.36/266.82 parent1[0]: (183) {G3,W8,D4,L1,V3,M1} R(16,39) { pair_in_list( insert_slb(
% 266.36/266.82 X, pair( Y, Z ) ), Y, Z ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := insert_slb( X, pair( bottom, Y ) )
% 266.36/266.82 Y := Y
% 266.36/266.82 Z := Z
% 266.36/266.82 T := T
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 X := X
% 266.36/266.82 Y := bottom
% 266.36/266.82 Z := Y
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (69934) {G5,W9,D3,L2,V3,M2} R(1171,183) { ! less_than( skol5,
% 266.36/266.82 X ), less_than( skol5, skol2( Y, Z, skol5 ) ) }.
% 266.36/266.82 parent0: (94792) {G4,W9,D3,L2,V3,M2} { ! less_than( skol5, Y ), less_than
% 266.36/266.82 ( skol5, skol2( Z, T, skol5 ) ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := T
% 266.36/266.82 Y := X
% 266.36/266.82 Z := Y
% 266.36/266.82 T := Z
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 1 ==> 1
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94793) {G5,W9,D3,L2,V2,M2} { less_than( skol5, skol2( X, Y,
% 266.36/266.82 skol5 ) ), ! less_than( skol5, skol5 ) }.
% 266.36/266.82 parent0[0]: (69934) {G5,W9,D3,L2,V3,M2} R(1171,183) { ! less_than( skol5, X
% 266.36/266.82 ), less_than( skol5, skol2( Y, Z, skol5 ) ) }.
% 266.36/266.82 parent1[1]: (1312) {G4,W8,D3,L2,V1,M2} R(1154,0) { ! less_than( X, skol5 )
% 266.36/266.82 , less_than( X, skol1( skol3, skol4 ) ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := skol1( skol3, skol4 )
% 266.36/266.82 Y := X
% 266.36/266.82 Z := Y
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 X := skol5
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94794) {G1,W6,D3,L1,V2,M1} { less_than( skol5, skol2( X, Y,
% 266.36/266.82 skol5 ) ) }.
% 266.36/266.82 parent0[1]: (94793) {G5,W9,D3,L2,V2,M2} { less_than( skol5, skol2( X, Y,
% 266.36/266.82 skol5 ) ), ! less_than( skol5, skol5 ) }.
% 266.36/266.82 parent1[0]: (2) {G0,W3,D2,L1,V1,M1} I { less_than( X, X ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 Y := Y
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 X := skol5
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (70124) {G6,W6,D3,L1,V2,M1} R(69934,1312);r(2) { less_than(
% 266.36/266.82 skol5, skol2( X, Y, skol5 ) ) }.
% 266.36/266.82 parent0: (94794) {G1,W6,D3,L1,V2,M1} { less_than( skol5, skol2( X, Y,
% 266.36/266.82 skol5 ) ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 Y := Y
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94795) {G1,W9,D3,L1,V2,M1} { ! pair_in_list( update_slb(
% 266.36/266.82 skol3, skol5 ), skol4, skol2( X, Y, skol5 ) ) }.
% 266.36/266.82 parent0[1]: (34) {G0,W9,D3,L2,V1,M2} I { ! pair_in_list( update_slb( skol3
% 266.36/266.82 , skol5 ), skol4, X ), ! less_than( skol5, X ) }.
% 266.36/266.82 parent1[0]: (70124) {G6,W6,D3,L1,V2,M1} R(69934,1312);r(2) { less_than(
% 266.36/266.82 skol5, skol2( X, Y, skol5 ) ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := skol2( X, Y, skol5 )
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 X := X
% 266.36/266.82 Y := Y
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (70312) {G7,W9,D3,L1,V2,M1} R(70124,34) { ! pair_in_list(
% 266.36/266.82 update_slb( skol3, skol5 ), skol4, skol2( X, Y, skol5 ) ) }.
% 266.36/266.82 parent0: (94795) {G1,W9,D3,L1,V2,M1} { ! pair_in_list( update_slb( skol3,
% 266.36/266.82 skol5 ), skol4, skol2( X, Y, skol5 ) ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 Y := Y
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94796) {G1,W10,D2,L3,V1,M3} { ! pair_in_list( skol3, skol4, X
% 266.36/266.82 ), ! strictly_less_than( skol4, skol5 ), ! less_than( skol5, X ) }.
% 266.36/266.82 parent0[0]: (70312) {G7,W9,D3,L1,V2,M1} R(70124,34) { ! pair_in_list(
% 266.36/266.82 update_slb( skol3, skol5 ), skol4, skol2( X, Y, skol5 ) ) }.
% 266.36/266.82 parent1[3]: (30) {G0,W19,D3,L4,V4,M4} I { ! pair_in_list( X, Y, T ), !
% 266.36/266.82 strictly_less_than( Y, Z ), ! less_than( Z, T ), pair_in_list( update_slb
% 266.36/266.82 ( X, Z ), Y, skol2( X, Y, Z ) ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := skol3
% 266.36/266.82 Y := skol4
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 X := skol3
% 266.36/266.82 Y := skol4
% 266.36/266.82 Z := skol5
% 266.36/266.82 T := X
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94797) {G1,W7,D2,L2,V1,M2} { ! pair_in_list( skol3, skol4, X
% 266.36/266.82 ), ! less_than( skol5, X ) }.
% 266.36/266.82 parent0[1]: (94796) {G1,W10,D2,L3,V1,M3} { ! pair_in_list( skol3, skol4, X
% 266.36/266.82 ), ! strictly_less_than( skol4, skol5 ), ! less_than( skol5, X ) }.
% 266.36/266.82 parent1[0]: (32) {G0,W3,D2,L1,V0,M1} I { strictly_less_than( skol4, skol5 )
% 266.36/266.82 }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (70741) {G8,W7,D2,L2,V1,M2} R(70312,30);r(32) { ! pair_in_list
% 266.36/266.82 ( skol3, skol4, X ), ! less_than( skol5, X ) }.
% 266.36/266.82 parent0: (94797) {G1,W7,D2,L2,V1,M2} { ! pair_in_list( skol3, skol4, X ),
% 266.36/266.82 ! less_than( skol5, X ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 1 ==> 1
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94798) {G3,W8,D2,L2,V1,M2} { ! pair_in_list( skol3, skol4, X
% 266.36/266.82 ), ! pair_in_list( skol3, skol4, X ) }.
% 266.36/266.82 parent0[1]: (70741) {G8,W7,D2,L2,V1,M2} R(70312,30);r(32) { ! pair_in_list
% 266.36/266.82 ( skol3, skol4, X ), ! less_than( skol5, X ) }.
% 266.36/266.82 parent1[1]: (1102) {G2,W7,D2,L2,V1,M2} R(1071,5) { ! pair_in_list( skol3,
% 266.36/266.82 skol4, X ), less_than( skol5, X ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 factor: (94799) {G3,W4,D2,L1,V1,M1} { ! pair_in_list( skol3, skol4, X )
% 266.36/266.82 }.
% 266.36/266.82 parent0[0, 1]: (94798) {G3,W8,D2,L2,V1,M2} { ! pair_in_list( skol3, skol4
% 266.36/266.82 , X ), ! pair_in_list( skol3, skol4, X ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (70774) {G9,W4,D2,L1,V1,M1} S(70741);r(1102) { ! pair_in_list
% 266.36/266.82 ( skol3, skol4, X ) }.
% 266.36/266.82 parent0: (94799) {G3,W4,D2,L1,V1,M1} { ! pair_in_list( skol3, skol4, X )
% 266.36/266.82 }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 0 ==> 0
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 eqswap: (94800) {G3,W9,D3,L2,V1,M2} { ! X = skol3, pair_in_list( X, skol4
% 266.36/266.82 , skol1( X, skol4 ) ) }.
% 266.36/266.82 parent0[0]: (2994) {G3,W9,D3,L2,V1,M2} R(2978,27) { ! skol3 = X,
% 266.36/266.82 pair_in_list( X, skol4, skol1( X, skol4 ) ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := X
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 resolution: (94801) {G4,W3,D2,L1,V0,M1} { ! skol3 = skol3 }.
% 266.36/266.82 parent0[0]: (70774) {G9,W4,D2,L1,V1,M1} S(70741);r(1102) { ! pair_in_list(
% 266.36/266.82 skol3, skol4, X ) }.
% 266.36/266.82 parent1[1]: (94800) {G3,W9,D3,L2,V1,M2} { ! X = skol3, pair_in_list( X,
% 266.36/266.82 skol4, skol1( X, skol4 ) ) }.
% 266.36/266.82 substitution0:
% 266.36/266.82 X := skol1( skol3, skol4 )
% 266.36/266.82 end
% 266.36/266.82 substitution1:
% 266.36/266.82 X := skol3
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 eqrefl: (94802) {G0,W0,D0,L0,V0,M0} { }.
% 266.36/266.82 parent0[0]: (94801) {G4,W3,D2,L1,V0,M1} { ! skol3 = skol3 }.
% 266.36/266.82 substitution0:
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 subsumption: (70805) {G10,W0,D0,L0,V0,M0} R(70774,2994);q { }.
% 266.36/266.82 parent0: (94802) {G0,W0,D0,L0,V0,M0} { }.
% 266.36/266.82 substitution0:
% 266.36/266.82 end
% 266.36/266.82 permutation0:
% 266.36/266.82 end
% 266.36/266.82
% 266.36/266.82 Proof check complete!
% 266.36/266.82
% 266.36/266.82 Memory use:
% 266.36/266.82
% 266.36/266.82 space for terms: 1115781
% 266.36/266.82 space for clauses: 2654608
% 266.36/266.82
% 266.36/266.82
% 266.36/266.82 clauses generated: 3485215
% 266.36/266.82 clauses kept: 70806
% 266.36/266.82 clauses selected: 4651
% 266.36/266.82 clauses deleted: 5009
% 266.36/266.82 clauses inuse deleted: 117
% 266.36/266.82
% 266.36/266.82 subsentry: 198317948
% 266.36/266.82 literals s-matched: 79250156
% 266.36/266.82 literals matched: 62191355
% 266.36/266.82 full subsumption: 59071230
% 266.36/266.82
% 266.36/266.82 checksum: -442178422
% 266.36/266.82
% 266.36/266.82
% 266.36/266.82 Bliksem ended
%------------------------------------------------------------------------------