TSTP Solution File: COL098-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL098-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 : Fri Jul 15 00:12:41 EDT 2022
% Result : Unsatisfiable 3.28s 3.63s
% Output : Refutation 3.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL098-1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n026.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 : Tue May 31 10:11:11 EDT 2022
% 0.14/0.35 % CPUTime :
% 3.28/3.63 *** allocated 10000 integers for termspace/termends
% 3.28/3.63 *** allocated 10000 integers for clauses
% 3.28/3.63 *** allocated 10000 integers for justifications
% 3.28/3.63 Bliksem 1.12
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 Automatic Strategy Selection
% 3.28/3.63
% 3.28/3.63 Clauses:
% 3.28/3.63 [
% 3.28/3.63 [ ~( =( combK, combS ) ) ],
% 3.28/3.63 [ ~( =( combK, 'comb_app'( X, Y ) ) ) ],
% 3.28/3.63 [ ~( =( combS, 'comb_app'( X, Y ) ) ) ],
% 3.28/3.63 [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( X, Z ) ],
% 3.28/3.63 [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y, T ) ],
% 3.28/3.63 [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ), 'comb_app'( Y,
% 3.28/3.63 T ) ) ],
% 3.28/3.63 [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ), trancl( Z ) ) ]
% 3.28/3.63 ,
% 3.28/3.63 [ trans( trancl( X ) ) ],
% 3.28/3.63 [ ~( trans( X ) ), ~( member( pair( Y, Z ), X ) ), ~( member( pair( Z, T
% 3.28/3.63 ), X ) ), member( pair( Y, T ), X ) ],
% 3.28/3.63 [ ~( member( pair( X, Y ), r ) ), ~( member( pair( X, Z ), r ) ), member(
% 3.28/3.63 pair( Y, sk1( X, Y, Z ) ), r ) ],
% 3.28/3.63 [ ~( member( pair( X, Y ), r ) ), ~( member( pair( X, Z ), r ) ), member(
% 3.28/3.63 pair( Z, sk1( X, Y, Z ) ), r ) ],
% 3.28/3.63 [ member( pair( x, y ), trancl( r ) ) ],
% 3.28/3.63 [ member( pair( y, z ), r ) ],
% 3.28/3.63 [ ~( member( pair( x, X ), r ) ), member( pair( X, sk2( X ) ), trancl( r
% 3.28/3.63 ) ) ],
% 3.28/3.63 [ ~( member( pair( x, X ), r ) ), member( pair( y, sk2( X ) ), r ) ]
% 3.28/3.63 ,
% 3.28/3.63 [ member( pair( x, sk3 ), r ) ],
% 3.28/3.63 [ ~( member( pair( sk3, X ), trancl( r ) ) ), ~( member( pair( z, X ), r
% 3.28/3.63 ) ) ]
% 3.28/3.63 ] .
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 percentage equality = 0.312500, percentage horn = 1.000000
% 3.28/3.63 This is a problem with some equality
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 Options Used:
% 3.28/3.63
% 3.28/3.63 useres = 1
% 3.28/3.63 useparamod = 1
% 3.28/3.63 useeqrefl = 1
% 3.28/3.63 useeqfact = 1
% 3.28/3.63 usefactor = 1
% 3.28/3.63 usesimpsplitting = 0
% 3.28/3.63 usesimpdemod = 5
% 3.28/3.63 usesimpres = 3
% 3.28/3.63
% 3.28/3.63 resimpinuse = 1000
% 3.28/3.63 resimpclauses = 20000
% 3.28/3.63 substype = eqrewr
% 3.28/3.63 backwardsubs = 1
% 3.28/3.63 selectoldest = 5
% 3.28/3.63
% 3.28/3.63 litorderings [0] = split
% 3.28/3.63 litorderings [1] = extend the termordering, first sorting on arguments
% 3.28/3.63
% 3.28/3.63 termordering = kbo
% 3.28/3.63
% 3.28/3.63 litapriori = 0
% 3.28/3.63 termapriori = 1
% 3.28/3.63 litaposteriori = 0
% 3.28/3.63 termaposteriori = 0
% 3.28/3.63 demodaposteriori = 0
% 3.28/3.63 ordereqreflfact = 0
% 3.28/3.63
% 3.28/3.63 litselect = negord
% 3.28/3.63
% 3.28/3.63 maxweight = 15
% 3.28/3.63 maxdepth = 30000
% 3.28/3.63 maxlength = 115
% 3.28/3.63 maxnrvars = 195
% 3.28/3.63 excuselevel = 1
% 3.28/3.63 increasemaxweight = 1
% 3.28/3.63
% 3.28/3.63 maxselected = 10000000
% 3.28/3.63 maxnrclauses = 10000000
% 3.28/3.63
% 3.28/3.63 showgenerated = 0
% 3.28/3.63 showkept = 0
% 3.28/3.63 showselected = 0
% 3.28/3.63 showdeleted = 0
% 3.28/3.63 showresimp = 1
% 3.28/3.63 showstatus = 2000
% 3.28/3.63
% 3.28/3.63 prologoutput = 1
% 3.28/3.63 nrgoals = 5000000
% 3.28/3.63 totalproof = 1
% 3.28/3.63
% 3.28/3.63 Symbols occurring in the translation:
% 3.28/3.63
% 3.28/3.63 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.28/3.63 . [1, 2] (w:1, o:38, a:1, s:1, b:0),
% 3.28/3.63 ! [4, 1] (w:0, o:30, a:1, s:1, b:0),
% 3.28/3.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.28/3.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.28/3.63 combK [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 3.28/3.63 combS [40, 0] (w:1, o:11, a:1, s:1, b:0),
% 3.28/3.63 'comb_app' [43, 2] (w:1, o:63, a:1, s:1, b:0),
% 3.28/3.63 pair [50, 2] (w:1, o:64, a:1, s:1, b:0),
% 3.28/3.63 member [52, 2] (w:1, o:65, a:1, s:1, b:0),
% 3.28/3.63 trancl [53, 1] (w:1, o:36, a:1, s:1, b:0),
% 3.28/3.63 trans [54, 1] (w:1, o:37, a:1, s:1, b:0),
% 3.28/3.63 r [58, 0] (w:1, o:24, a:1, s:1, b:0),
% 3.28/3.63 sk1 [60, 3] (w:1, o:66, a:1, s:1, b:0),
% 3.28/3.63 x [61, 0] (w:1, o:26, a:1, s:1, b:0),
% 3.28/3.63 y [62, 0] (w:1, o:27, a:1, s:1, b:0),
% 3.28/3.63 z [63, 0] (w:1, o:28, a:1, s:1, b:0),
% 3.28/3.63 sk2 [64, 1] (w:1, o:35, a:1, s:1, b:0),
% 3.28/3.63 sk3 [65, 0] (w:1, o:5, a:1, s:1, b:0).
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 Starting Search:
% 3.28/3.63
% 3.28/3.63 Resimplifying inuse:
% 3.28/3.63 Done
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 Intermediate Status:
% 3.28/3.63 Generated: 59437
% 3.28/3.63 Kept: 2005
% 3.28/3.63 Inuse: 408
% 3.28/3.63 Deleted: 6
% 3.28/3.63 Deletedinuse: 0
% 3.28/3.63
% 3.28/3.63 Resimplifying inuse:
% 3.28/3.63 Done
% 3.28/3.63
% 3.28/3.63 Resimplifying inuse:
% 3.28/3.63 Done
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 Intermediate Status:
% 3.28/3.63 Generated: 91548
% 3.28/3.63 Kept: 4008
% 3.28/3.63 Inuse: 461
% 3.28/3.63 Deleted: 29
% 3.28/3.63 Deletedinuse: 18
% 3.28/3.63
% 3.28/3.63 Resimplifying inuse:
% 3.28/3.63 Done
% 3.28/3.63
% 3.28/3.63 Resimplifying inuse:
% 3.28/3.63 Done
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 Intermediate Status:
% 3.28/3.63 Generated: 192990
% 3.28/3.63 Kept: 6008
% 3.28/3.63 Inuse: 821
% 3.28/3.63 Deleted: 232
% 3.28/3.63 Deletedinuse: 155
% 3.28/3.63
% 3.28/3.63 Resimplifying inuse:
% 3.28/3.63 Done
% 3.28/3.63
% 3.28/3.63 Resimplifying inuse:
% 3.28/3.63 Done
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 Intermediate Status:
% 3.28/3.63 Generated: 242380
% 3.28/3.63 Kept: 8015
% 3.28/3.63 Inuse: 1014
% 3.28/3.63 Deleted: 260
% 3.28/3.63 Deletedinuse: 166
% 3.28/3.63
% 3.28/3.63 Resimplifying inuse:
% 3.28/3.63 Done
% 3.28/3.63
% 3.28/3.63 Resimplifying inuse:
% 3.28/3.63 Done
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 Intermediate Status:
% 3.28/3.63 Generated: 314257
% 3.28/3.63 Kept: 10039
% 3.28/3.63 Inuse: 1255
% 3.28/3.63 Deleted: 296
% 3.28/3.63 Deletedinuse: 188
% 3.28/3.63
% 3.28/3.63 Resimplifying inuse:
% 3.28/3.63 Done
% 3.28/3.63
% 3.28/3.63 Resimplifying inuse:
% 3.28/3.63 Done
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 Intermediate Status:
% 3.28/3.63 Generated: 357270
% 3.28/3.63 Kept: 12040
% 3.28/3.63 Inuse: 1389
% 3.28/3.63 Deleted: 349
% 3.28/3.63 Deletedinuse: 241
% 3.28/3.63
% 3.28/3.63 Resimplifying inuse:
% 3.28/3.63 Done
% 3.28/3.63
% 3.28/3.63 Resimplifying inuse:
% 3.28/3.63 Done
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 Bliksems!, er is een bewijs:
% 3.28/3.63 % SZS status Unsatisfiable
% 3.28/3.63 % SZS output start Refutation
% 3.28/3.63
% 3.28/3.63 clause( 4, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y, T ) ]
% 3.28/3.63 )
% 3.28/3.63 .
% 3.28/3.63 clause( 5, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 3.28/3.63 'comb_app'( Y, T ) ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 6, [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ), trancl(
% 3.28/3.63 Z ) ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 7, [ trans( trancl( X ) ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 8, [ ~( trans( X ) ), ~( member( pair( Y, Z ), X ) ), ~( member(
% 3.28/3.63 pair( Z, T ), X ) ), member( pair( Y, T ), X ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 9, [ ~( member( pair( X, Y ), r ) ), ~( member( pair( X, Z ), r ) )
% 3.28/3.63 , member( pair( Y, sk1( X, Y, Z ) ), r ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 10, [ ~( member( pair( X, Y ), r ) ), ~( member( pair( X, Z ), r )
% 3.28/3.63 ), member( pair( Z, sk1( X, Y, Z ) ), r ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 12, [ member( pair( y, z ), r ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 13, [ ~( member( pair( x, X ), r ) ), member( pair( X, sk2( X ) ),
% 3.28/3.63 trancl( r ) ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 14, [ ~( member( pair( x, X ), r ) ), member( pair( y, sk2( X ) ),
% 3.28/3.63 r ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 15, [ member( pair( x, sk3 ), r ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 16, [ ~( member( pair( sk3, X ), trancl( r ) ) ), ~( member( pair(
% 3.28/3.63 z, X ), r ) ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 120, [ ~( =( X, U ) ), ~( =( Y, W ) ), =( 'comb_app'( Z, T ),
% 3.28/3.63 'comb_app'( U, W ) ), ~( =( X, Z ) ), ~( =( Y, T ) ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 327, [ ~( member( pair( y, X ), r ) ), member( pair( z, sk1( y, z,
% 3.28/3.63 X ) ), r ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 359, [ ~( member( pair( y, X ), r ) ), member( pair( X, sk1( y, z,
% 3.28/3.63 X ) ), r ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 391, [ member( pair( sk3, sk2( sk3 ) ), trancl( r ) ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 404, [ ~( member( pair( sk2( sk3 ), X ), trancl( r ) ) ), member(
% 3.28/3.63 pair( sk3, X ), trancl( r ) ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 448, [ member( pair( y, sk2( sk3 ) ), r ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 2149, [ ~( =( X, Y ) ), ~( =( Z, T ) ), ~( =( X, U ) ), ~( =( Z, W
% 3.28/3.63 ) ), =( W, T ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 2151, [ ~( =( X, Y ) ), ~( =( X, Z ) ), ~( =( T, U ) ), =( U, T ) ]
% 3.28/3.63 )
% 3.28/3.63 .
% 3.28/3.63 clause( 2152, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( T, Z ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 2153, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 3009, [ member( pair( y, sk2( sk3 ) ), X ), ~( =( X, r ) ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 9405, [ member( pair( z, sk1( y, z, sk2( sk3 ) ) ), r ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 11689, [ member( pair( sk2( sk3 ), sk1( y, z, sk2( sk3 ) ) ), r ) ]
% 3.28/3.63 )
% 3.28/3.63 .
% 3.28/3.63 clause( 11912, [ ~( member( pair( sk3, sk1( y, z, sk2( sk3 ) ) ), trancl( r
% 3.28/3.63 ) ) ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 13597, [ ~( member( pair( sk2( sk3 ), sk1( y, z, sk2( sk3 ) ) ),
% 3.28/3.63 trancl( r ) ) ) ] )
% 3.28/3.63 .
% 3.28/3.63 clause( 13697, [] )
% 3.28/3.63 .
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 % SZS output end Refutation
% 3.28/3.63 found a proof!
% 3.28/3.63
% 3.28/3.63 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.28/3.63
% 3.28/3.63 initialclauses(
% 3.28/3.63 [ clause( 13699, [ ~( =( combK, combS ) ) ] )
% 3.28/3.63 , clause( 13700, [ ~( =( combK, 'comb_app'( X, Y ) ) ) ] )
% 3.28/3.63 , clause( 13701, [ ~( =( combS, 'comb_app'( X, Y ) ) ) ] )
% 3.28/3.63 , clause( 13702, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( X,
% 3.28/3.63 Z ) ] )
% 3.28/3.63 , clause( 13703, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y,
% 3.28/3.63 T ) ] )
% 3.28/3.63 , clause( 13704, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 3.28/3.63 'comb_app'( Y, T ) ) ] )
% 3.28/3.63 , clause( 13705, [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ),
% 3.28/3.63 trancl( Z ) ) ] )
% 3.28/3.63 , clause( 13706, [ trans( trancl( X ) ) ] )
% 3.28/3.63 , clause( 13707, [ ~( trans( X ) ), ~( member( pair( Y, Z ), X ) ), ~(
% 3.28/3.63 member( pair( Z, T ), X ) ), member( pair( Y, T ), X ) ] )
% 3.28/3.63 , clause( 13708, [ ~( member( pair( X, Y ), r ) ), ~( member( pair( X, Z )
% 3.28/3.63 , r ) ), member( pair( Y, sk1( X, Y, Z ) ), r ) ] )
% 3.28/3.63 , clause( 13709, [ ~( member( pair( X, Y ), r ) ), ~( member( pair( X, Z )
% 3.28/3.63 , r ) ), member( pair( Z, sk1( X, Y, Z ) ), r ) ] )
% 3.28/3.63 , clause( 13710, [ member( pair( x, y ), trancl( r ) ) ] )
% 3.28/3.63 , clause( 13711, [ member( pair( y, z ), r ) ] )
% 3.28/3.63 , clause( 13712, [ ~( member( pair( x, X ), r ) ), member( pair( X, sk2( X
% 3.28/3.63 ) ), trancl( r ) ) ] )
% 3.28/3.63 , clause( 13713, [ ~( member( pair( x, X ), r ) ), member( pair( y, sk2( X
% 3.28/3.63 ) ), r ) ] )
% 3.28/3.63 , clause( 13714, [ member( pair( x, sk3 ), r ) ] )
% 3.28/3.63 , clause( 13715, [ ~( member( pair( sk3, X ), trancl( r ) ) ), ~( member(
% 3.28/3.63 pair( z, X ), r ) ) ] )
% 3.28/3.63 ] ).
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 subsumption(
% 3.28/3.63 clause( 4, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y, T ) ]
% 3.28/3.63 )
% 3.28/3.63 , clause( 13703, [ ~( =( 'comb_app'( X, Y ), 'comb_app'( Z, T ) ) ), =( Y,
% 3.28/3.63 T ) ] )
% 3.28/3.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.28/3.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 subsumption(
% 3.28/3.63 clause( 5, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 3.28/3.63 'comb_app'( Y, T ) ) ] )
% 3.28/3.63 , clause( 13704, [ ~( =( X, Y ) ), ~( =( Z, T ) ), =( 'comb_app'( X, Z ),
% 3.28/3.63 'comb_app'( Y, T ) ) ] )
% 3.28/3.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.28/3.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 subsumption(
% 3.28/3.63 clause( 6, [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ), trancl(
% 3.28/3.63 Z ) ) ] )
% 3.28/3.63 , clause( 13705, [ ~( member( pair( X, Y ), Z ) ), member( pair( X, Y ),
% 3.28/3.63 trancl( Z ) ) ] )
% 3.28/3.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.28/3.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 subsumption(
% 3.28/3.63 clause( 7, [ trans( trancl( X ) ) ] )
% 3.28/3.63 , clause( 13706, [ trans( trancl( X ) ) ] )
% 3.28/3.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 subsumption(
% 3.28/3.63 clause( 8, [ ~( trans( X ) ), ~( member( pair( Y, Z ), X ) ), ~( member(
% 3.28/3.63 pair( Z, T ), X ) ), member( pair( Y, T ), X ) ] )
% 3.28/3.63 , clause( 13707, [ ~( trans( X ) ), ~( member( pair( Y, Z ), X ) ), ~(
% 3.28/3.63 member( pair( Z, T ), X ) ), member( pair( Y, T ), X ) ] )
% 3.28/3.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 3.28/3.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 3.28/3.63 ).
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 subsumption(
% 3.28/3.63 clause( 9, [ ~( member( pair( X, Y ), r ) ), ~( member( pair( X, Z ), r ) )
% 3.28/3.63 , member( pair( Y, sk1( X, Y, Z ) ), r ) ] )
% 3.28/3.63 , clause( 13708, [ ~( member( pair( X, Y ), r ) ), ~( member( pair( X, Z )
% 3.28/3.63 , r ) ), member( pair( Y, sk1( X, Y, Z ) ), r ) ] )
% 3.28/3.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.28/3.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 subsumption(
% 3.28/3.63 clause( 10, [ ~( member( pair( X, Y ), r ) ), ~( member( pair( X, Z ), r )
% 3.28/3.63 ), member( pair( Z, sk1( X, Y, Z ) ), r ) ] )
% 3.28/3.63 , clause( 13709, [ ~( member( pair( X, Y ), r ) ), ~( member( pair( X, Z )
% 3.28/3.63 , r ) ), member( pair( Z, sk1( X, Y, Z ) ), r ) ] )
% 3.28/3.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.28/3.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 subsumption(
% 3.28/3.63 clause( 12, [ member( pair( y, z ), r ) ] )
% 3.28/3.63 , clause( 13711, [ member( pair( y, z ), r ) ] )
% 3.28/3.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 subsumption(
% 3.28/3.63 clause( 13, [ ~( member( pair( x, X ), r ) ), member( pair( X, sk2( X ) ),
% 3.28/3.63 trancl( r ) ) ] )
% 3.28/3.63 , clause( 13712, [ ~( member( pair( x, X ), r ) ), member( pair( X, sk2( X
% 3.28/3.63 ) ), trancl( r ) ) ] )
% 3.28/3.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.28/3.63 1 )] ) ).
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 subsumption(
% 3.28/3.63 clause( 14, [ ~( member( pair( x, X ), r ) ), member( pair( y, sk2( X ) ),
% 3.28/3.63 r ) ] )
% 3.28/3.63 , clause( 13713, [ ~( member( pair( x, X ), r ) ), member( pair( y, sk2( X
% 3.28/3.63 ) ), r ) ] )
% 3.28/3.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.28/3.63 1 )] ) ).
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 subsumption(
% 3.28/3.63 clause( 15, [ member( pair( x, sk3 ), r ) ] )
% 3.28/3.63 , clause( 13714, [ member( pair( x, sk3 ), r ) ] )
% 3.28/3.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 subsumption(
% 3.28/3.63 clause( 16, [ ~( member( pair( sk3, X ), trancl( r ) ) ), ~( member( pair(
% 3.28/3.63 z, X ), r ) ) ] )
% 3.28/3.63 , clause( 13715, [ ~( member( pair( sk3, X ), trancl( r ) ) ), ~( member(
% 3.28/3.63 pair( z, X ), r ) ) ] )
% 3.28/3.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.28/3.63 1 )] ) ).
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 assignments is full
% 3.28/3.63
% 3.28/3.63 Memory use:
% 3.28/3.63
% 3.28/3.63 space for terms: 219417
% 3.28/3.63 space for clauses: 619451
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 clauses generated: 441095
% 3.28/3.63 clauses kept: 13698
% 3.28/3.63 clauses selected: 1633
% 3.28/3.63 clauses deleted: 352
% 3.28/3.63 clauses inuse deleted: 242
% 3.28/3.63
% 3.28/3.63 subsentry: 401450
% 3.28/3.63 literals s-matched: 150624
% 3.28/3.63 literals matched: 147283
% 3.28/3.63 full subsumption: 54422
% 3.28/3.63
% 3.28/3.63 checksum: -37069326
% 3.28/3.63
% 3.28/3.63
% 3.28/3.63 Bliksem ended
%------------------------------------------------------------------------------