TSTP Solution File: SYO614-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYO614-1 : TPTP v8.1.0. Released v7.1.0.
% 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 : Thu Jul 21 14:28:53 EDT 2022
% Result : Unsatisfiable 6.23s 6.63s
% Output : Refutation 6.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO614-1 : TPTP v8.1.0. Released v7.1.0.
% 0.07/0.12 % Command : bliksem %s
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Sat Jul 9 11:57:40 EDT 2022
% 0.11/0.32 % CPUTime :
% 6.23/6.63 *** allocated 10000 integers for termspace/termends
% 6.23/6.63 *** allocated 10000 integers for clauses
% 6.23/6.63 *** allocated 10000 integers for justifications
% 6.23/6.63 Bliksem 1.12
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Automatic Strategy Selection
% 6.23/6.63
% 6.23/6.63 Clauses:
% 6.23/6.63 [
% 6.23/6.63 [ le( X, X ) ],
% 6.23/6.63 [ ~( le( max( X, Y ), Z ) ), le( X, Z ) ],
% 6.23/6.63 [ ~( le( max( X, Y ), Z ) ), le( Y, Z ) ],
% 6.23/6.63 [ eq( f( X ), a0 ), eq( f( X ), a1 ) ],
% 6.23/6.63 [ ~( eq( f( X ), a0 ) ), ~( eq( f( Y ), a0 ) ), ~( le( s( X ), Y ) ) ]
% 6.23/6.63 ,
% 6.23/6.63 [ ~( eq( f( X ), a1 ) ), ~( eq( f( Y ), a1 ) ), ~( le( s( X ), Y ) ) ]
% 6.23/6.63 ] .
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 percentage equality = 0.000000, percentage horn = 0.833333
% 6.23/6.63 This a non-horn, non-equality problem
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Options Used:
% 6.23/6.63
% 6.23/6.63 useres = 1
% 6.23/6.63 useparamod = 0
% 6.23/6.63 useeqrefl = 0
% 6.23/6.63 useeqfact = 0
% 6.23/6.63 usefactor = 1
% 6.23/6.63 usesimpsplitting = 0
% 6.23/6.63 usesimpdemod = 0
% 6.23/6.63 usesimpres = 3
% 6.23/6.63
% 6.23/6.63 resimpinuse = 1000
% 6.23/6.63 resimpclauses = 20000
% 6.23/6.63 substype = standard
% 6.23/6.63 backwardsubs = 1
% 6.23/6.63 selectoldest = 5
% 6.23/6.63
% 6.23/6.63 litorderings [0] = split
% 6.23/6.63 litorderings [1] = liftord
% 6.23/6.63
% 6.23/6.63 termordering = none
% 6.23/6.63
% 6.23/6.63 litapriori = 1
% 6.23/6.63 termapriori = 0
% 6.23/6.63 litaposteriori = 0
% 6.23/6.63 termaposteriori = 0
% 6.23/6.63 demodaposteriori = 0
% 6.23/6.63 ordereqreflfact = 0
% 6.23/6.63
% 6.23/6.63 litselect = none
% 6.23/6.63
% 6.23/6.63 maxweight = 15
% 6.23/6.63 maxdepth = 30000
% 6.23/6.63 maxlength = 115
% 6.23/6.63 maxnrvars = 195
% 6.23/6.63 excuselevel = 1
% 6.23/6.63 increasemaxweight = 1
% 6.23/6.63
% 6.23/6.63 maxselected = 10000000
% 6.23/6.63 maxnrclauses = 10000000
% 6.23/6.63
% 6.23/6.63 showgenerated = 0
% 6.23/6.63 showkept = 0
% 6.23/6.63 showselected = 0
% 6.23/6.63 showdeleted = 0
% 6.23/6.63 showresimp = 1
% 6.23/6.63 showstatus = 2000
% 6.23/6.63
% 6.23/6.63 prologoutput = 1
% 6.23/6.63 nrgoals = 5000000
% 6.23/6.63 totalproof = 1
% 6.23/6.63
% 6.23/6.63 Symbols occurring in the translation:
% 6.23/6.63
% 6.23/6.63 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.23/6.63 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 6.23/6.63 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 6.23/6.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.23/6.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.23/6.63 le [40, 2] (w:1, o:48, a:1, s:1, b:0),
% 6.23/6.63 max [42, 2] (w:1, o:49, a:1, s:1, b:0),
% 6.23/6.63 f [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 6.23/6.63 a0 [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 6.23/6.63 eq [46, 2] (w:1, o:50, a:1, s:1, b:0),
% 6.23/6.63 a1 [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 6.23/6.63 s [50, 1] (w:1, o:22, a:1, s:1, b:0).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Starting Search:
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Failed to find proof!
% 6.23/6.63 maxweight = 15
% 6.23/6.63 maxnrclauses = 10000000
% 6.23/6.63 Generated: 6648
% 6.23/6.63 Kept: 228
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 The strategy used was not complete!
% 6.23/6.63
% 6.23/6.63 Increased maxweight to 16
% 6.23/6.63
% 6.23/6.63 Starting Search:
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Failed to find proof!
% 6.23/6.63 maxweight = 16
% 6.23/6.63 maxnrclauses = 10000000
% 6.23/6.63 Generated: 19712
% 6.23/6.63 Kept: 328
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 The strategy used was not complete!
% 6.23/6.63
% 6.23/6.63 Increased maxweight to 17
% 6.23/6.63
% 6.23/6.63 Starting Search:
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Failed to find proof!
% 6.23/6.63 maxweight = 17
% 6.23/6.63 maxnrclauses = 10000000
% 6.23/6.63 Generated: 27648
% 6.23/6.63 Kept: 456
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 The strategy used was not complete!
% 6.23/6.63
% 6.23/6.63 Increased maxweight to 18
% 6.23/6.63
% 6.23/6.63 Starting Search:
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Failed to find proof!
% 6.23/6.63 maxweight = 18
% 6.23/6.63 maxnrclauses = 10000000
% 6.23/6.63 Generated: 80320
% 6.23/6.63 Kept: 648
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 The strategy used was not complete!
% 6.23/6.63
% 6.23/6.63 Increased maxweight to 19
% 6.23/6.63
% 6.23/6.63 Starting Search:
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Failed to find proof!
% 6.23/6.63 maxweight = 19
% 6.23/6.63 maxnrclauses = 10000000
% 6.23/6.63 Generated: 112576
% 6.23/6.63 Kept: 904
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 The strategy used was not complete!
% 6.23/6.63
% 6.23/6.63 Increased maxweight to 20
% 6.23/6.63
% 6.23/6.63 Starting Search:
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Failed to find proof!
% 6.23/6.63 maxweight = 20
% 6.23/6.63 maxnrclauses = 10000000
% 6.23/6.63 Generated: 325208
% 6.23/6.63 Kept: 1320
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 The strategy used was not complete!
% 6.23/6.63
% 6.23/6.63 Increased maxweight to 21
% 6.23/6.63
% 6.23/6.63 Starting Search:
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Failed to find proof!
% 6.23/6.63 maxweight = 21
% 6.23/6.63 maxnrclauses = 10000000
% 6.23/6.63 Generated: 455256
% 6.23/6.63 Kept: 1832
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 The strategy used was not complete!
% 6.23/6.63
% 6.23/6.63 Increased maxweight to 22
% 6.23/6.63
% 6.23/6.63 Starting Search:
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 3772
% 6.23/6.63 Kept: 2056
% 6.23/6.63 Inuse: 131
% 6.23/6.63 Deleted: 2
% 6.23/6.63 Deletedinuse: 1
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Failed to find proof!
% 6.23/6.63 maxweight = 22
% 6.23/6.63 maxnrclauses = 10000000
% 6.23/6.63 Generated: 1304920
% 6.23/6.63 Kept: 2600
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 The strategy used was not complete!
% 6.23/6.63
% 6.23/6.63 Increased maxweight to 23
% 6.23/6.63
% 6.23/6.63 Starting Search:
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 3772
% 6.23/6.63 Kept: 2056
% 6.23/6.63 Inuse: 131
% 6.23/6.63 Deleted: 2
% 6.23/6.63 Deletedinuse: 1
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Failed to find proof!
% 6.23/6.63 maxweight = 23
% 6.23/6.63 maxnrclauses = 10000000
% 6.23/6.63 Generated: 1827160
% 6.23/6.63 Kept: 3624
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 The strategy used was not complete!
% 6.23/6.63
% 6.23/6.63 Increased maxweight to 24
% 6.23/6.63
% 6.23/6.63 Starting Search:
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 3772
% 6.23/6.63 Kept: 2056
% 6.23/6.63 Inuse: 131
% 6.23/6.63 Deleted: 2
% 6.23/6.63 Deletedinuse: 1
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 8723
% 6.23/6.63 Kept: 4059
% 6.23/6.63 Inuse: 243
% 6.23/6.63 Deleted: 2
% 6.23/6.63 Deletedinuse: 1
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 15714
% 6.23/6.63 Kept: 6066
% 6.23/6.63 Inuse: 300
% 6.23/6.63 Deleted: 12
% 6.23/6.63 Deletedinuse: 8
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 19828
% 6.23/6.63 Kept: 8120
% 6.23/6.63 Inuse: 348
% 6.23/6.63 Deleted: 21
% 6.23/6.63 Deletedinuse: 17
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 25411
% 6.23/6.63 Kept: 10139
% 6.23/6.63 Inuse: 431
% 6.23/6.63 Deleted: 21
% 6.23/6.63 Deletedinuse: 17
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 30237
% 6.23/6.63 Kept: 12142
% 6.23/6.63 Inuse: 446
% 6.23/6.63 Deleted: 21
% 6.23/6.63 Deletedinuse: 17
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 37695
% 6.23/6.63 Kept: 14146
% 6.23/6.63 Inuse: 556
% 6.23/6.63 Deleted: 48
% 6.23/6.63 Deletedinuse: 17
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 48818
% 6.23/6.63 Kept: 16154
% 6.23/6.63 Inuse: 669
% 6.23/6.63 Deleted: 48
% 6.23/6.63 Deletedinuse: 17
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Intermediate Status:
% 6.23/6.63 Generated: 55117
% 6.23/6.63 Kept: 18436
% 6.23/6.63 Inuse: 713
% 6.23/6.63 Deleted: 51
% 6.23/6.63 Deletedinuse: 20
% 6.23/6.63
% 6.23/6.63 Resimplifying inuse:
% 6.23/6.63 Done
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Bliksems!, er is een bewijs:
% 6.23/6.63 % SZS status Unsatisfiable
% 6.23/6.63 % SZS output start Refutation
% 6.23/6.63
% 6.23/6.63 clause( 0, [ le( X, X ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 1, [ le( X, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 2, [ le( Y, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 3, [ eq( f( X ), a0 ), eq( f( X ), a1 ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 4, [ ~( le( s( X ), Y ) ), ~( eq( f( X ), a0 ) ), ~( eq( f( Y ), a0
% 6.23/6.63 ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 5, [ ~( le( s( X ), Y ) ), ~( eq( f( X ), a1 ) ), ~( eq( f( Y ), a1
% 6.23/6.63 ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 8, [ le( Z, T ), ~( le( max( X, max( Y, Z ) ), T ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 9, [ le( X, max( Y, X ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 14, [ le( X, max( Y, max( X, Z ) ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 17, [ le( X, max( X, Y ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 24, [ le( X, max( Y, max( max( X, Z ), T ) ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 33, [ ~( le( s( X ), Y ) ), eq( f( X ), a0 ), ~( eq( f( Y ), a1 ) )
% 6.23/6.63 ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 49, [ le( Z, U ), ~( le( max( X, max( Y, max( Z, T ) ) ), U ) ) ]
% 6.23/6.63 )
% 6.23/6.63 .
% 6.23/6.63 clause( 57, [ le( X, max( Y, max( max( max( Z, X ), T ), U ) ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 139, [ ~( le( s( X ), Y ) ), eq( f( Y ), a0 ), eq( f( X ), a0 ) ]
% 6.23/6.63 )
% 6.23/6.63 .
% 6.23/6.63 clause( 287, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( eq( f( Z ),
% 6.23/6.63 a0 ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 288, [ ~( le( s( X ), Y ) ), ~( le( s( Z ), Y ) ), ~( eq( f( Z ),
% 6.23/6.63 a0 ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 336, [ le( X, max( Y, max( max( max( Z, max( T, max( U, max( X, W )
% 6.23/6.63 ) ) ), V0 ), V1 ) ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 3622, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( T ),
% 6.23/6.63 Z ) ), eq( f( T ), a0 ), eq( f( X ), a0 ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 3629, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( X ),
% 6.23/6.63 Z ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 3639, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( X ),
% 6.23/6.63 Z ) ), ~( le( s( X ), T ) ), ~( eq( f( T ), a0 ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 3641, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( X ),
% 6.23/6.63 Z ) ), ~( eq( f( Y ), a0 ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 13078, [ ~( le( s( X ), Y ) ), ~( le( s( Z ), Y ) ), ~( le( s( Z )
% 6.23/6.63 , T ) ), eq( f( T ), a0 ), eq( f( X ), a0 ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 13082, [ ~( le( s( X ), Y ) ), ~( le( s( Z ), Y ) ), ~( le( s( Z )
% 6.23/6.63 , X ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 16475, [ ~( le( s( Z ), Y ) ), ~( le( s( Z ), X ) ), ~( le( s( T )
% 6.23/6.63 , X ) ), ~( le( s( X ), U ) ), ~( le( s( T ), U ) ), ~( le( s( X ), Y ) )
% 6.23/6.63 ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 16479, [ ~( le( s( X ), Z ) ), ~( le( s( Z ), Y ) ), ~( le( s( X )
% 6.23/6.63 , Y ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 17092, [ ~( le( s( X ), Y ) ), ~( le( s( s( X ) ), Y ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 18426, [ ~( le( s( s( X ) ), max( s( X ), Y ) ) ) ] )
% 6.23/6.63 .
% 6.23/6.63 clause( 18436, [] )
% 6.23/6.63 .
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 % SZS output end Refutation
% 6.23/6.63 found a proof!
% 6.23/6.63
% 6.23/6.63 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.23/6.63
% 6.23/6.63 initialclauses(
% 6.23/6.63 [ clause( 18438, [ le( X, X ) ] )
% 6.23/6.63 , clause( 18439, [ ~( le( max( X, Y ), Z ) ), le( X, Z ) ] )
% 6.23/6.63 , clause( 18440, [ ~( le( max( X, Y ), Z ) ), le( Y, Z ) ] )
% 6.23/6.63 , clause( 18441, [ eq( f( X ), a0 ), eq( f( X ), a1 ) ] )
% 6.23/6.63 , clause( 18442, [ ~( eq( f( X ), a0 ) ), ~( eq( f( Y ), a0 ) ), ~( le( s(
% 6.23/6.63 X ), Y ) ) ] )
% 6.23/6.63 , clause( 18443, [ ~( eq( f( X ), a1 ) ), ~( eq( f( Y ), a1 ) ), ~( le( s(
% 6.23/6.63 X ), Y ) ) ] )
% 6.23/6.63 ] ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 0, [ le( X, X ) ] )
% 6.23/6.63 , clause( 18438, [ le( X, X ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 1, [ le( X, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 6.23/6.63 , clause( 18439, [ ~( le( max( X, Y ), Z ) ), le( X, Z ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.23/6.63 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 2, [ le( Y, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 6.23/6.63 , clause( 18440, [ ~( le( max( X, Y ), Z ) ), le( Y, Z ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.23/6.63 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 3, [ eq( f( X ), a0 ), eq( f( X ), a1 ) ] )
% 6.23/6.63 , clause( 18441, [ eq( f( X ), a0 ), eq( f( X ), a1 ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.23/6.63 1 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 4, [ ~( le( s( X ), Y ) ), ~( eq( f( X ), a0 ) ), ~( eq( f( Y ), a0
% 6.23/6.63 ) ) ] )
% 6.23/6.63 , clause( 18442, [ ~( eq( f( X ), a0 ) ), ~( eq( f( Y ), a0 ) ), ~( le( s(
% 6.23/6.63 X ), Y ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 6.23/6.63 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 5, [ ~( le( s( X ), Y ) ), ~( eq( f( X ), a1 ) ), ~( eq( f( Y ), a1
% 6.23/6.63 ) ) ] )
% 6.23/6.63 , clause( 18443, [ ~( eq( f( X ), a1 ) ), ~( eq( f( Y ), a1 ) ), ~( le( s(
% 6.23/6.63 X ), Y ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 6.23/6.63 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18447, [ le( X, Y ), ~( le( max( T, max( Z, X ) ), Y ) ) ] )
% 6.23/6.63 , clause( 2, [ le( Y, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 6.23/6.63 , 1, clause( 2, [ le( Y, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 6.23/6.63 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 6.23/6.63 substitution( 1, [ :=( X, T ), :=( Y, max( Z, X ) ), :=( Z, Y )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 8, [ le( Z, T ), ~( le( max( X, max( Y, Z ) ), T ) ) ] )
% 6.23/6.63 , clause( 18447, [ le( X, Y ), ~( le( max( T, max( Z, X ) ), Y ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] ),
% 6.23/6.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18448, [ le( X, max( Y, X ) ) ] )
% 6.23/6.63 , clause( 2, [ le( Y, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 6.23/6.63 , 1, clause( 0, [ le( X, X ) ] )
% 6.23/6.63 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, max( Y, X ) )] ),
% 6.23/6.63 substitution( 1, [ :=( X, max( Y, X ) )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 9, [ le( X, max( Y, X ) ) ] )
% 6.23/6.63 , clause( 18448, [ le( X, max( Y, X ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.23/6.63 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18449, [ le( X, max( Y, max( X, Z ) ) ) ] )
% 6.23/6.63 , clause( 1, [ le( X, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 6.23/6.63 , 1, clause( 9, [ le( X, max( Y, X ) ) ] )
% 6.23/6.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, max( Y, max( X, Z )
% 6.23/6.63 ) )] ), substitution( 1, [ :=( X, max( X, Z ) ), :=( Y, Y )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 14, [ le( X, max( Y, max( X, Z ) ) ) ] )
% 6.23/6.63 , clause( 18449, [ le( X, max( Y, max( X, Z ) ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.23/6.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18450, [ le( X, max( X, Y ) ) ] )
% 6.23/6.63 , clause( 1, [ le( X, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 6.23/6.63 , 1, clause( 0, [ le( X, X ) ] )
% 6.23/6.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, max( X, Y ) )] ),
% 6.23/6.63 substitution( 1, [ :=( X, max( X, Y ) )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 17, [ le( X, max( X, Y ) ) ] )
% 6.23/6.63 , clause( 18450, [ le( X, max( X, Y ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.23/6.63 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18451, [ le( X, max( Y, max( max( X, Z ), T ) ) ) ] )
% 6.23/6.63 , clause( 1, [ le( X, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 6.23/6.63 , 1, clause( 14, [ le( X, max( Y, max( X, Z ) ) ) ] )
% 6.23/6.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, max( Y, max( max( X
% 6.23/6.63 , Z ), T ) ) )] ), substitution( 1, [ :=( X, max( X, Z ) ), :=( Y, Y ),
% 6.23/6.63 :=( Z, T )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 24, [ le( X, max( Y, max( max( X, Z ), T ) ) ) ] )
% 6.23/6.63 , clause( 18451, [ le( X, max( Y, max( max( X, Z ), T ) ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.23/6.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18452, [ ~( le( s( X ), Y ) ), ~( eq( f( Y ), a1 ) ), eq( f( X ),
% 6.23/6.63 a0 ) ] )
% 6.23/6.63 , clause( 5, [ ~( le( s( X ), Y ) ), ~( eq( f( X ), a1 ) ), ~( eq( f( Y ),
% 6.23/6.63 a1 ) ) ] )
% 6.23/6.63 , 1, clause( 3, [ eq( f( X ), a0 ), eq( f( X ), a1 ) ] )
% 6.23/6.63 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 6.23/6.63 , X )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 33, [ ~( le( s( X ), Y ) ), eq( f( X ), a0 ), ~( eq( f( Y ), a1 ) )
% 6.23/6.63 ] )
% 6.23/6.63 , clause( 18452, [ ~( le( s( X ), Y ) ), ~( eq( f( Y ), a1 ) ), eq( f( X )
% 6.23/6.63 , a0 ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.23/6.63 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18455, [ le( X, Y ), ~( le( max( T, max( U, max( X, Z ) ) ), Y ) )
% 6.23/6.63 ] )
% 6.23/6.63 , clause( 1, [ le( X, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 6.23/6.63 , 1, clause( 8, [ le( Z, T ), ~( le( max( X, max( Y, Z ) ), T ) ) ] )
% 6.23/6.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 6.23/6.63 substitution( 1, [ :=( X, T ), :=( Y, U ), :=( Z, max( X, Z ) ), :=( T, Y
% 6.23/6.63 )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 49, [ le( Z, U ), ~( le( max( X, max( Y, max( Z, T ) ) ), U ) ) ]
% 6.23/6.63 )
% 6.23/6.63 , clause( 18455, [ le( X, Y ), ~( le( max( T, max( U, max( X, Z ) ) ), Y )
% 6.23/6.63 ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, Z ), :=( Y, U ), :=( Z, T ), :=( T, X ), :=( U
% 6.23/6.63 , Y )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18456, [ le( X, max( Y, max( max( max( Z, X ), T ), U ) ) ) ] )
% 6.23/6.63 , clause( 2, [ le( Y, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 6.23/6.63 , 1, clause( 24, [ le( X, max( Y, max( max( X, Z ), T ) ) ) ] )
% 6.23/6.63 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, max( Y, max( max(
% 6.23/6.63 max( Z, X ), T ), U ) ) )] ), substitution( 1, [ :=( X, max( Z, X ) ),
% 6.23/6.63 :=( Y, Y ), :=( Z, T ), :=( T, U )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 57, [ le( X, max( Y, max( max( max( Z, X ), T ), U ) ) ) ] )
% 6.23/6.63 , clause( 18456, [ le( X, max( Y, max( max( max( Z, X ), T ), U ) ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.23/6.63 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18457, [ ~( le( s( X ), Y ) ), eq( f( X ), a0 ), eq( f( Y ), a0 ) ]
% 6.23/6.63 )
% 6.23/6.63 , clause( 33, [ ~( le( s( X ), Y ) ), eq( f( X ), a0 ), ~( eq( f( Y ), a1 )
% 6.23/6.63 ) ] )
% 6.23/6.63 , 2, clause( 3, [ eq( f( X ), a0 ), eq( f( X ), a1 ) ] )
% 6.23/6.63 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 6.23/6.63 , Y )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 139, [ ~( le( s( X ), Y ) ), eq( f( Y ), a0 ), eq( f( X ), a0 ) ]
% 6.23/6.63 )
% 6.23/6.63 , clause( 18457, [ ~( le( s( X ), Y ) ), eq( f( X ), a0 ), eq( f( Y ), a0 )
% 6.23/6.63 ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.23/6.63 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18459, [ ~( le( s( X ), Y ) ), ~( eq( f( Y ), a0 ) ), ~( le( s( Z )
% 6.23/6.63 , X ) ), eq( f( Z ), a0 ) ] )
% 6.23/6.63 , clause( 4, [ ~( le( s( X ), Y ) ), ~( eq( f( X ), a0 ) ), ~( eq( f( Y ),
% 6.23/6.63 a0 ) ) ] )
% 6.23/6.63 , 1, clause( 139, [ ~( le( s( X ), Y ) ), eq( f( Y ), a0 ), eq( f( X ), a0
% 6.23/6.63 ) ] )
% 6.23/6.63 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 6.23/6.63 , Z ), :=( Y, X )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 287, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( eq( f( Z ),
% 6.23/6.63 a0 ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , clause( 18459, [ ~( le( s( X ), Y ) ), ~( eq( f( Y ), a0 ) ), ~( le( s( Z
% 6.23/6.63 ), X ) ), eq( f( Z ), a0 ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 6.23/6.63 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] )
% 6.23/6.63 ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18468, [ ~( le( s( X ), Y ) ), ~( eq( f( X ), a0 ) ), ~( le( s( Z )
% 6.23/6.63 , Y ) ), eq( f( Z ), a0 ) ] )
% 6.23/6.63 , clause( 4, [ ~( le( s( X ), Y ) ), ~( eq( f( X ), a0 ) ), ~( eq( f( Y ),
% 6.23/6.63 a0 ) ) ] )
% 6.23/6.63 , 2, clause( 139, [ ~( le( s( X ), Y ) ), eq( f( Y ), a0 ), eq( f( X ), a0
% 6.23/6.63 ) ] )
% 6.23/6.63 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 6.23/6.63 , Z ), :=( Y, Y )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 288, [ ~( le( s( X ), Y ) ), ~( le( s( Z ), Y ) ), ~( eq( f( Z ),
% 6.23/6.63 a0 ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , clause( 18468, [ ~( le( s( X ), Y ) ), ~( eq( f( X ), a0 ) ), ~( le( s( Z
% 6.23/6.63 ), Y ) ), eq( f( Z ), a0 ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 6.23/6.63 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 ), ==>( 3, 3 )] )
% 6.23/6.63 ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18473, [ le( X, max( Y, max( max( max( Z, max( T, max( U, max( X, W
% 6.23/6.63 ) ) ) ), V0 ), V1 ) ) ) ] )
% 6.23/6.63 , clause( 49, [ le( Z, U ), ~( le( max( X, max( Y, max( Z, T ) ) ), U ) ) ]
% 6.23/6.63 )
% 6.23/6.63 , 1, clause( 57, [ le( X, max( Y, max( max( max( Z, X ), T ), U ) ) ) ] )
% 6.23/6.63 , 0, substitution( 0, [ :=( X, T ), :=( Y, U ), :=( Z, X ), :=( T, W ),
% 6.23/6.63 :=( U, max( Y, max( max( max( Z, max( T, max( U, max( X, W ) ) ) ), V0 )
% 6.23/6.63 , V1 ) ) )] ), substitution( 1, [ :=( X, max( T, max( U, max( X, W ) ) )
% 6.23/6.63 ), :=( Y, Y ), :=( Z, Z ), :=( T, V0 ), :=( U, V1 )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 336, [ le( X, max( Y, max( max( max( Z, max( T, max( U, max( X, W )
% 6.23/6.63 ) ) ), V0 ), V1 ) ) ) ] )
% 6.23/6.63 , clause( 18473, [ le( X, max( Y, max( max( max( Z, max( T, max( U, max( X
% 6.23/6.63 , W ) ) ) ), V0 ), V1 ) ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.23/6.63 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 6.23/6.63 0, 0 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18474, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), eq( f( X ), a0
% 6.23/6.63 ), ~( le( s( T ), Z ) ), eq( f( T ), a0 ) ] )
% 6.23/6.63 , clause( 287, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( eq( f( Z )
% 6.23/6.63 , a0 ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , 2, clause( 139, [ ~( le( s( X ), Y ) ), eq( f( Y ), a0 ), eq( f( X ), a0
% 6.23/6.63 ) ] )
% 6.23/6.63 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.23/6.63 substitution( 1, [ :=( X, T ), :=( Y, Z )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 3622, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( T ),
% 6.23/6.63 Z ) ), eq( f( T ), a0 ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , clause( 18474, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), eq( f( X ),
% 6.23/6.63 a0 ), ~( le( s( T ), Z ) ), eq( f( T ), a0 ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.23/6.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 4 ), ==>( 3, 2 ),
% 6.23/6.63 ==>( 4, 3 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 factor(
% 6.23/6.63 clause( 18487, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( X )
% 6.23/6.63 , Z ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , clause( 3622, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( T )
% 6.23/6.63 , Z ) ), eq( f( T ), a0 ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , 3, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 6.23/6.63 ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 3629, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( X ),
% 6.23/6.63 Z ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , clause( 18487, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( X
% 6.23/6.63 ), Z ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.23/6.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 6.23/6.63 ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18491, [ ~( le( s( X ), Y ) ), ~( eq( f( Y ), a0 ) ), ~( le( s( X )
% 6.23/6.63 , Z ) ), ~( le( s( Z ), T ) ), ~( le( s( X ), T ) ) ] )
% 6.23/6.63 , clause( 4, [ ~( le( s( X ), Y ) ), ~( eq( f( X ), a0 ) ), ~( eq( f( Y ),
% 6.23/6.63 a0 ) ) ] )
% 6.23/6.63 , 1, clause( 3629, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s(
% 6.23/6.63 X ), Z ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 6.23/6.63 , X ), :=( Y, Z ), :=( Z, T )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 3639, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( X ),
% 6.23/6.63 Z ) ), ~( le( s( X ), T ) ), ~( eq( f( T ), a0 ) ) ] )
% 6.23/6.63 , clause( 18491, [ ~( le( s( X ), Y ) ), ~( eq( f( Y ), a0 ) ), ~( le( s( X
% 6.23/6.63 ), Z ) ), ~( le( s( Z ), T ) ), ~( le( s( X ), T ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ),
% 6.23/6.63 permutation( 0, [ ==>( 0, 3 ), ==>( 1, 4 ), ==>( 2, 0 ), ==>( 3, 1 ),
% 6.23/6.63 ==>( 4, 2 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 factor(
% 6.23/6.63 clause( 18505, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( X )
% 6.23/6.63 , Z ) ), ~( eq( f( Y ), a0 ) ) ] )
% 6.23/6.63 , clause( 3639, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( X )
% 6.23/6.63 , Z ) ), ~( le( s( X ), T ) ), ~( eq( f( T ), a0 ) ) ] )
% 6.23/6.63 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] )
% 6.23/6.63 ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 3641, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( X ),
% 6.23/6.63 Z ) ), ~( eq( f( Y ), a0 ) ) ] )
% 6.23/6.63 , clause( 18505, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( X
% 6.23/6.63 ), Z ) ), ~( eq( f( Y ), a0 ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.23/6.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 6.23/6.63 ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18511, [ ~( le( s( X ), Y ) ), ~( le( s( Z ), Y ) ), eq( f( X ), a0
% 6.23/6.63 ), ~( le( s( Z ), T ) ), eq( f( T ), a0 ) ] )
% 6.23/6.63 , clause( 288, [ ~( le( s( X ), Y ) ), ~( le( s( Z ), Y ) ), ~( eq( f( Z )
% 6.23/6.63 , a0 ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , 2, clause( 139, [ ~( le( s( X ), Y ) ), eq( f( Y ), a0 ), eq( f( X ), a0
% 6.23/6.63 ) ] )
% 6.23/6.63 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.23/6.63 substitution( 1, [ :=( X, Z ), :=( Y, T )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 13078, [ ~( le( s( X ), Y ) ), ~( le( s( Z ), Y ) ), ~( le( s( Z )
% 6.23/6.63 , T ) ), eq( f( T ), a0 ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , clause( 18511, [ ~( le( s( X ), Y ) ), ~( le( s( Z ), Y ) ), eq( f( X ),
% 6.23/6.63 a0 ), ~( le( s( Z ), T ) ), eq( f( T ), a0 ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.23/6.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 4 ), ==>( 3, 2 ),
% 6.23/6.63 ==>( 4, 3 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 factor(
% 6.23/6.63 clause( 18522, [ ~( le( s( X ), Y ) ), ~( le( s( Z ), Y ) ), ~( le( s( Z )
% 6.23/6.63 , X ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , clause( 13078, [ ~( le( s( X ), Y ) ), ~( le( s( Z ), Y ) ), ~( le( s( Z
% 6.23/6.63 ), T ) ), eq( f( T ), a0 ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , 3, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 6.23/6.63 ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 13082, [ ~( le( s( X ), Y ) ), ~( le( s( Z ), Y ) ), ~( le( s( Z )
% 6.23/6.63 , X ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , clause( 18522, [ ~( le( s( X ), Y ) ), ~( le( s( Z ), Y ) ), ~( le( s( Z
% 6.23/6.63 ), X ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.23/6.63 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 6.23/6.63 ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18526, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( X )
% 6.23/6.63 , Z ) ), ~( le( s( Y ), T ) ), ~( le( s( U ), T ) ), ~( le( s( U ), Y ) )
% 6.23/6.63 ] )
% 6.23/6.63 , clause( 3641, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( X )
% 6.23/6.63 , Z ) ), ~( eq( f( Y ), a0 ) ) ] )
% 6.23/6.63 , 3, clause( 13082, [ ~( le( s( X ), Y ) ), ~( le( s( Z ), Y ) ), ~( le( s(
% 6.23/6.63 Z ), X ) ), eq( f( X ), a0 ) ] )
% 6.23/6.63 , 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.23/6.63 substitution( 1, [ :=( X, Y ), :=( Y, T ), :=( Z, U )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 16475, [ ~( le( s( Z ), Y ) ), ~( le( s( Z ), X ) ), ~( le( s( T )
% 6.23/6.63 , X ) ), ~( le( s( X ), U ) ), ~( le( s( T ), U ) ), ~( le( s( X ), Y ) )
% 6.23/6.63 ] )
% 6.23/6.63 , clause( 18526, [ ~( le( s( X ), Y ) ), ~( le( s( Y ), Z ) ), ~( le( s( X
% 6.23/6.63 ), Z ) ), ~( le( s( Y ), T ) ), ~( le( s( U ), T ) ), ~( le( s( U ), Y )
% 6.23/6.63 ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, U ), :=( U
% 6.23/6.63 , T )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 5 ), ==>( 2, 0 ), ==>( 3
% 6.23/6.63 , 3 ), ==>( 4, 4 ), ==>( 5, 2 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 factor(
% 6.23/6.63 clause( 18536, [ ~( le( s( X ), Y ) ), ~( le( s( X ), Z ) ), ~( le( s( X )
% 6.23/6.63 , Z ) ), ~( le( s( Z ), Y ) ), ~( le( s( Z ), Y ) ) ] )
% 6.23/6.63 , clause( 16475, [ ~( le( s( Z ), Y ) ), ~( le( s( Z ), X ) ), ~( le( s( T
% 6.23/6.63 ), X ) ), ~( le( s( X ), U ) ), ~( le( s( T ), U ) ), ~( le( s( X ), Y )
% 6.23/6.63 ) ] )
% 6.23/6.63 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X ), :=( T, X ),
% 6.23/6.63 :=( U, Y )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 factor(
% 6.23/6.63 clause( 18538, [ ~( le( s( X ), Y ) ), ~( le( s( X ), Z ) ), ~( le( s( Z )
% 6.23/6.63 , Y ) ), ~( le( s( Z ), Y ) ) ] )
% 6.23/6.63 , clause( 18536, [ ~( le( s( X ), Y ) ), ~( le( s( X ), Z ) ), ~( le( s( X
% 6.23/6.63 ), Z ) ), ~( le( s( Z ), Y ) ), ~( le( s( Z ), Y ) ) ] )
% 6.23/6.63 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 factor(
% 6.23/6.63 clause( 18540, [ ~( le( s( X ), Y ) ), ~( le( s( X ), Z ) ), ~( le( s( Z )
% 6.23/6.63 , Y ) ) ] )
% 6.23/6.63 , clause( 18538, [ ~( le( s( X ), Y ) ), ~( le( s( X ), Z ) ), ~( le( s( Z
% 6.23/6.63 ), Y ) ), ~( le( s( Z ), Y ) ) ] )
% 6.23/6.63 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 16479, [ ~( le( s( X ), Z ) ), ~( le( s( Z ), Y ) ), ~( le( s( X )
% 6.23/6.63 , Y ) ) ] )
% 6.23/6.63 , clause( 18540, [ ~( le( s( X ), Y ) ), ~( le( s( X ), Z ) ), ~( le( s( Z
% 6.23/6.63 ), Y ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.23/6.63 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18543, [ ~( le( s( s( X ) ), Y ) ), ~( le( s( X ), Y ) ) ] )
% 6.23/6.63 , clause( 16479, [ ~( le( s( X ), Z ) ), ~( le( s( Z ), Y ) ), ~( le( s( X
% 6.23/6.63 ), Y ) ) ] )
% 6.23/6.63 , 0, clause( 0, [ le( X, X ) ] )
% 6.23/6.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, s( X ) )] ),
% 6.23/6.63 substitution( 1, [ :=( X, s( X ) )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 17092, [ ~( le( s( X ), Y ) ), ~( le( s( s( X ) ), Y ) ) ] )
% 6.23/6.63 , clause( 18543, [ ~( le( s( s( X ) ), Y ) ), ~( le( s( X ), Y ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 6.23/6.63 ), ==>( 1, 0 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18546, [ ~( le( s( s( X ) ), max( s( X ), Y ) ) ) ] )
% 6.23/6.63 , clause( 17092, [ ~( le( s( X ), Y ) ), ~( le( s( s( X ) ), Y ) ) ] )
% 6.23/6.63 , 0, clause( 17, [ le( X, max( X, Y ) ) ] )
% 6.23/6.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, max( s( X ), Y ) )] ),
% 6.23/6.63 substitution( 1, [ :=( X, s( X ) ), :=( Y, Y )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 18426, [ ~( le( s( s( X ) ), max( s( X ), Y ) ) ) ] )
% 6.23/6.63 , clause( 18546, [ ~( le( s( s( X ) ), max( s( X ), Y ) ) ) ] )
% 6.23/6.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.23/6.63 )] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 resolution(
% 6.23/6.63 clause( 18548, [] )
% 6.23/6.63 , clause( 18426, [ ~( le( s( s( X ) ), max( s( X ), Y ) ) ) ] )
% 6.23/6.63 , 0, clause( 336, [ le( X, max( Y, max( max( max( Z, max( T, max( U, max( X
% 6.23/6.63 , W ) ) ) ), V0 ), V1 ) ) ) ] )
% 6.23/6.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, max( max( max( Y, max( Z, max( T
% 6.23/6.63 , max( s( s( X ) ), U ) ) ) ), W ), V0 ) )] ), substitution( 1, [ :=( X,
% 6.23/6.63 s( s( X ) ) ), :=( Y, s( X ) ), :=( Z, Y ), :=( T, Z ), :=( U, T ), :=( W
% 6.23/6.63 , U ), :=( V0, W ), :=( V1, V0 )] )).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 subsumption(
% 6.23/6.63 clause( 18436, [] )
% 6.23/6.63 , clause( 18548, [] )
% 6.23/6.63 , substitution( 0, [] ), permutation( 0, [] ) ).
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 end.
% 6.23/6.63
% 6.23/6.63 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.23/6.63
% 6.23/6.63 Memory use:
% 6.23/6.63
% 6.23/6.63 space for terms: 408851
% 6.23/6.63 space for clauses: 1782867
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 clauses generated: 55118
% 6.23/6.63 clauses kept: 18437
% 6.23/6.63 clauses selected: 714
% 6.23/6.63 clauses deleted: 51
% 6.23/6.63 clauses inuse deleted: 20
% 6.23/6.63
% 6.23/6.63 subsentry: 128748
% 6.23/6.63 literals s-matched: 60766
% 6.23/6.63 literals matched: 60691
% 6.23/6.63 full subsumption: 9577
% 6.23/6.63
% 6.23/6.63 checksum: 1938568382
% 6.23/6.63
% 6.23/6.63
% 6.23/6.63 Bliksem ended
%------------------------------------------------------------------------------