%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWX187-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue May 5 06:56:45 PM UTC 2026
% Result : Timeout 299.66s 300.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX187-1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.15/0.34 % Computer : n003.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % DateTime : Tue May 5 09:40:41 EDT 2026
% 0.15/0.34 % CPUTime :
% 24.92/25.32 *** allocated 10000 integers for termspace/termends
% 24.92/25.32 *** allocated 10000 integers for clauses
% 24.92/25.32 *** allocated 10000 integers for justifications
% 24.92/25.32 Bliksem 1.12
% 24.92/25.32
% 24.92/25.32
% 24.92/25.32 Automatic Strategy Selection
% 24.92/25.32
% 24.92/25.32 Clauses:
% 24.92/25.32 [
% 24.92/25.32 [ =( notb( btrue ), bfalse ) ],
% 24.92/25.32 [ =( notb( bfalse ), btrue ) ],
% 24.92/25.32 [ =( length( nil ), z ) ],
% 24.92/25.32 [ =( length( cons( X, Y ) ), s( length( Y ) ) ) ],
% 24.92/25.32 [ =( impl( btrue, X ), X ) ],
% 24.92/25.32 [ =( impl( bfalse, X ), btrue ) ],
% 24.92/25.32 [ =( x2( s( X ), s( Y ) ), x2( X, Y ) ) ],
% 24.92/25.32 [ =( x2( s( X ), z ), bfalse ) ],
% 24.92/25.32 [ =( x2( z, s( X ) ), btrue ) ],
% 24.92/25.32 [ =( x2( z, z ), bfalse ) ],
% 24.92/25.32 [ =( x( nil, X ), X ) ],
% 24.92/25.32 [ =( x( cons( X, Y ), Z ), cons( X, x( Y, Z ) ) ) ],
% 24.92/25.32 [ =( rotate( s( X ), nil ), nil ) ],
% 24.92/25.32 [ =( rotate( s( X ), cons( Y, Z ) ), rotate( X, x( Z, cons( Y, nil ) ) )
% 24.92/25.32 ) ],
% 24.92/25.32 [ =( rotate( z, X ), X ) ],
% 24.92/25.32 [ =( 'prop_rot_inj0'( X, Y, Z, T ), impl( eq3( x2( X, length( T ) ),
% 24.92/25.32 btrue ), impl( eq3( x2( Y, length( Z ) ), btrue ), impl( eq( T, Z ), impl(
% 24.92/25.32 notb( eq( rotate( s( z ), T ), T ) ), impl( eq( rotate( X, T ), rotate( Y
% 24.92/25.32 , Z ) ), eq2( X, Y ) ) ) ) ) ) ) ],
% 24.92/25.32 [ =( eq3( bfalse, btrue ), bfalse ) ],
% 24.92/25.32 [ =( eq3( btrue, bfalse ), bfalse ) ],
% 24.92/25.32 [ =( eq2( s( X ), s( Y ) ), eq2( X, Y ) ) ],
% 24.92/25.32 [ =( eq2( s( X ), z ), bfalse ) ],
% 24.92/25.32 [ =( eq2( z, s( X ) ), bfalse ) ],
% 24.92/25.32 [ =( eq( X, X ), btrue ) ],
% 24.92/25.32 [ =( eq2( X, X ), btrue ) ],
% 24.92/25.32 [ =( eq3( X, X ), btrue ) ],
% 24.92/25.32 [ ~( =( eq2( X, Y ), bfalse ) ), =( eq( cons( X, Z ), cons( Y, T ) ),
% 24.92/25.32 bfalse ) ],
% 24.92/25.32 [ ~( =( eq2( X, Y ), btrue ) ), =( eq( cons( X, Z ), cons( Y, T ) ), eq(
% 24.92/25.32 Z, T ) ) ],
% 24.92/25.32 [ =( eq( nil, cons( X, Y ) ), bfalse ) ],
% 24.92/25.32 [ =( eq( cons( X, Y ), nil ), bfalse ) ],
% 24.92/25.32 [ ~( =( eq3( 'prop_rot_inj0'( X, Y, Z, T ), bfalse ), btrue ) ) ]
% 24.92/25.32 ] .
% 24.92/25.32
% 24.92/25.32
% 24.92/25.32 percentage equality = 1.000000, percentage horn = 1.000000
% 24.92/25.32 This is a pure equality problem
% 24.92/25.32
% 24.92/25.32
% 24.92/25.32
% 24.92/25.32 Options Used:
% 24.92/25.32
% 24.92/25.32 useres = 1
% 24.92/25.32 useparamod = 1
% 24.92/25.32 useeqrefl = 1
% 24.92/25.32 useeqfact = 1
% 24.92/25.32 usefactor = 1
% 24.92/25.32 usesimpsplitting = 0
% 24.92/25.32 usesimpdemod = 5
% 24.92/25.32 usesimpres = 3
% 24.92/25.32
% 24.92/25.32 resimpinuse = 1000
% 24.92/25.32 resimpclauses = 20000
% 24.92/25.32 substype = eqrewr
% 24.92/25.32 backwardsubs = 1
% 24.92/25.32 selectoldest = 5
% 24.92/25.32
% 24.92/25.32 litorderings [0] = split
% 24.92/25.32 litorderings [1] = extend the termordering, first sorting on arguments
% 24.92/25.32
% 24.92/25.32 termordering = kbo
% 24.92/25.32
% 24.92/25.32 litapriori = 0
% 24.92/25.32 termapriori = 1
% 24.92/25.32 litaposteriori = 0
% 24.92/25.32 termaposteriori = 0
% 24.92/25.32 demodaposteriori = 0
% 24.92/25.32 ordereqreflfact = 0
% 24.92/25.32
% 24.92/25.32 litselect = negord
% 24.92/25.32
% 24.92/25.32 maxweight = 15
% 24.92/25.32 maxdepth = 30000
% 24.92/25.32 maxlength = 115
% 24.92/25.32 maxnrvars = 195
% 24.92/25.32 excuselevel = 1
% 24.92/25.32 increasemaxweight = 1
% 24.92/25.32
% 24.92/25.32 maxselected = 10000000
% 24.92/25.32 maxnrclauses = 10000000
% 24.92/25.32
% 24.92/25.32 showgenerated = 0
% 24.92/25.32 showkept = 0
% 24.92/25.32 showselected = 0
% 24.92/25.32 showdeleted = 0
% 24.92/25.32 showresimp = 1
% 24.92/25.32 showstatus = 2000
% 24.92/25.32
% 24.92/25.32 prologoutput = 1
% 24.92/25.32 nrgoals = 5000000
% 24.92/25.32 totalproof = 1
% 24.92/25.32
% 24.92/25.32 Symbols occurring in the translation:
% 24.92/25.32
% 24.92/25.32 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 24.92/25.32 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 24.92/25.32 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 24.92/25.32 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 24.92/25.32 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 24.92/25.32 btrue [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 24.92/25.32 notb [40, 1] (w:1, o:26, a:1, s:1, b:0),
% 24.92/25.32 bfalse [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 24.92/25.32 nil [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 24.92/25.32 length [43, 1] (w:1, o:27, a:1, s:1, b:0),
% 24.92/25.32 z [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 24.92/25.32 cons [47, 2] (w:1, o:54, a:1, s:1, b:0),
% 24.92/25.32 s [48, 1] (w:1, o:28, a:1, s:1, b:0),
% 24.92/25.32 impl [50, 2] (w:1, o:55, a:1, s:1, b:0),
% 24.92/25.32 x2 [53, 2] (w:1, o:56, a:1, s:1, b:0),
% 24.92/25.32 x [55, 2] (w:1, o:57, a:1, s:1, b:0),
% 24.92/25.32 rotate [56, 2] (w:1, o:58, a:1, s:1, b:0),
% 24.92/25.32 'prop_rot_inj0' [59, 4] (w:1, o:62, a:1, s:1, b:0),
% 24.92/25.32 eq3 [60, 2] (w:1, o:60, a:1, s:1, b:0),
% 24.92/25.32 eq [61, 2] (w:1, o:61, a:1, s:1, b:0),
% 24.92/25.32 eq2 [62, 2] (w:1, o:59, a:1, s:1, b:0).
% 24.92/25.32
% 24.92/25.32
% 24.92/25.32 Starting Search:
% 24.92/25.32
% 24.92/25.32 Resimplifying inuse:
% 24.92/25.32 Done
% 24.92/25.32
% 24.92/25.32 Failed to find proof!
% 24.92/25.32 maxweight = 15
% 24.92/25.32 maxnrclauses = 10000000
% 24.92/25.32 Generated: 2151
% 24.92/25.32 Kept: 105
% 24.92/25.32
% 24.92/25.32
% 24.92/25.32 The strategy used was not complete!
% 24.92/25.32
% 24.92/25.32 Increased maxweight to 16
% 24.92/25.32
% 24.92/25.32 Starting Search:
% 24.92/25.32
% 24.92/25.32 Resimplifying inuse:
% 24.92/25.32 Done
% 24.92/25.32
% 24.92/25.32 Failed to find proof!
% 220.82/221.30 maxweight = 16
% 220.82/221.30 maxnrclauses = 10000000
% 220.82/221.30 Generated: 2275
% 220.82/221.30 Kept: 110
% 220.82/221.30
% 220.82/221.30
% 220.82/221.30 The strategy used was not complete!
% 220.82/221.30
% 220.82/221.30 Increased maxweight to 17
% 220.82/221.30
% 220.82/221.30 Starting Search:
% 220.82/221.30
% 220.82/221.30 Resimplifying inuse:
% 220.82/221.30 Done
% 220.82/221.30
% 220.82/221.30 Failed to find proof!
% 220.82/221.30 maxweight = 17
% 220.82/221.30 maxnrclauses = 10000000
% 220.82/221.30 Generated: 2593
% 220.82/221.30 Kept: 123
% 220.82/221.30
% 220.82/221.30
% 220.82/221.30 The strategy used was not complete!
% 220.82/221.30
% 220.82/221.30 Increased maxweight to 18
% 220.82/221.30
% 220.82/221.30 Starting Search:
% 220.82/221.30
% 220.82/221.30 Resimplifying inuse:
% 220.82/221.30 Done
% 220.82/221.30
% 220.82/221.30 Failed to find proof!
% 220.82/221.30 maxweight = 18
% 220.82/221.30 maxnrclauses = 10000000
% 220.82/221.30 Generated: 2735
% 220.82/221.30 Kept: 130
% 220.82/221.30
% 220.82/221.30
% 220.82/221.30 The strategy used was not complete!
% 220.82/221.30
% 220.82/221.30 Increased maxweight to 19
% 220.82/221.30
% 220.82/221.30 Starting Search:
% 220.82/221.30
% 220.82/221.30 Resimplifying inuse:
% 220.82/221.30 Done
% 220.82/221.30
% 220.82/221.30 Failed to find proof!
% 220.82/221.30 maxweight = 19
% 220.82/221.30 maxnrclauses = 10000000
% 220.82/221.30 Generated: 3027
% 220.82/221.30 Kept: 146
% 220.82/221.30
% 220.82/221.30
% 220.82/221.30 The strategy used was not complete!
% 220.82/221.30
% 220.82/221.30 Increased maxweight to 20
% 220.82/221.30
% 220.82/221.30 Starting Search:
% 220.82/221.30
% 220.82/221.30 Resimplifying inuse:
% 220.82/221.30 Done
% 220.82/221.30
% 220.82/221.30 Failed to find proof!
% 220.82/221.30 maxweight = 20
% 220.82/221.30 maxnrclauses = 10000000
% 220.82/221.30 Generated: 3638
% 220.82/221.30 Kept: 169
% 220.82/221.30
% 220.82/221.30
% 220.82/221.30 The strategy used was not complete!
% 220.82/221.30
% 220.82/221.30 Increased maxweight to 21
% 220.82/221.30
% 220.82/221.30 Starting Search:
% 220.82/221.30
% 220.82/221.30 Resimplifying inuse:
% 220.82/221.30 Done
% 220.82/221.30
% 220.82/221.30 Failed to find proof!
% 220.82/221.30 maxweight = 21
% 220.92/221.30 maxnrclauses = 10000000
% 220.92/221.30 Generated: 4504
% 220.92/221.30 Kept: 192
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 The strategy used was not complete!
% 220.92/221.30
% 220.92/221.30 Increased maxweight to 22
% 220.92/221.30
% 220.92/221.30 Starting Search:
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Failed to find proof!
% 220.92/221.30 maxweight = 22
% 220.92/221.30 maxnrclauses = 10000000
% 220.92/221.30 Generated: 5561
% 220.92/221.30 Kept: 226
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 The strategy used was not complete!
% 220.92/221.30
% 220.92/221.30 Increased maxweight to 23
% 220.92/221.30
% 220.92/221.30 Starting Search:
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Failed to find proof!
% 220.92/221.30 maxweight = 23
% 220.92/221.30 maxnrclauses = 10000000
% 220.92/221.30 Generated: 7812
% 220.92/221.30 Kept: 279
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 The strategy used was not complete!
% 220.92/221.30
% 220.92/221.30 Increased maxweight to 24
% 220.92/221.30
% 220.92/221.30 Starting Search:
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Failed to find proof!
% 220.92/221.30 maxweight = 24
% 220.92/221.30 maxnrclauses = 10000000
% 220.92/221.30 Generated: 13762
% 220.92/221.30 Kept: 345
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 The strategy used was not complete!
% 220.92/221.30
% 220.92/221.30 Increased maxweight to 25
% 220.92/221.30
% 220.92/221.30 Starting Search:
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Failed to find proof!
% 220.92/221.30 maxweight = 25
% 220.92/221.30 maxnrclauses = 10000000
% 220.92/221.30 Generated: 17897
% 220.92/221.30 Kept: 387
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 The strategy used was not complete!
% 220.92/221.30
% 220.92/221.30 Increased maxweight to 26
% 220.92/221.30
% 220.92/221.30 Starting Search:
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Failed to find proof!
% 220.92/221.30 maxweight = 26
% 220.92/221.30 maxnrclauses = 10000000
% 220.92/221.30 Generated: 24936
% 220.92/221.30 Kept: 545
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 The strategy used was not complete!
% 220.92/221.30
% 220.92/221.30 Increased maxweight to 27
% 220.92/221.30
% 220.92/221.30 Starting Search:
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Failed to find proof!
% 220.92/221.30 maxweight = 27
% 220.92/221.30 maxnrclauses = 10000000
% 220.92/221.30 Generated: 36970
% 220.92/221.30 Kept: 672
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 The strategy used was not complete!
% 220.92/221.30
% 220.92/221.30 Increased maxweight to 28
% 220.92/221.30
% 220.92/221.30 Starting Search:
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Failed to find proof!
% 220.92/221.30 maxweight = 28
% 220.92/221.30 maxnrclauses = 10000000
% 220.92/221.30 Generated: 219746
% 220.92/221.30 Kept: 1569
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 The strategy used was not complete!
% 220.92/221.30
% 220.92/221.30 Increased maxweight to 29
% 220.92/221.30
% 220.92/221.30 Starting Search:
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Failed to find proof!
% 220.92/221.30 maxweight = 29
% 220.92/221.30 maxnrclauses = 10000000
% 220.92/221.30 Generated: 555129
% 220.92/221.30 Kept: 1982
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 The strategy used was not complete!
% 220.92/221.30
% 220.92/221.30 Increased maxweight to 30
% 220.92/221.30
% 220.92/221.30 Starting Search:
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 Intermediate Status:
% 220.92/221.30 Generated: 387987
% 220.92/221.30 Kept: 2020
% 220.92/221.30 Inuse: 1350
% 220.92/221.30 Deleted: 365
% 220.92/221.30 Deletedinuse: 73
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Failed to find proof!
% 220.92/221.30 maxweight = 30
% 220.92/221.30 maxnrclauses = 10000000
% 220.92/221.30 Generated: 769032
% 220.92/221.30 Kept: 2379
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 The strategy used was not complete!
% 220.92/221.30
% 220.92/221.30 Increased maxweight to 31
% 220.92/221.30
% 220.92/221.30 Starting Search:
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 Intermediate Status:
% 220.92/221.30 Generated: 209573
% 220.92/221.30 Kept: 2001
% 220.92/221.30 Inuse: 1064
% 220.92/221.30 Deleted: 320
% 220.92/221.30 Deletedinuse: 71
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Failed to find proof!
% 220.92/221.30 maxweight = 31
% 220.92/221.30 maxnrclauses = 10000000
% 220.92/221.30 Generated: 616176
% 220.92/221.30 Kept: 2264
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 The strategy used was not complete!
% 220.92/221.30
% 220.92/221.30 Increased maxweight to 32
% 220.92/221.30
% 220.92/221.30 Starting Search:
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 Intermediate Status:
% 220.92/221.30 Generated: 178746
% 220.92/221.30 Kept: 2002
% 220.92/221.30 Inuse: 1007
% 220.92/221.30 Deleted: 311
% 220.92/221.30 Deletedinuse: 66
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30 Failed to find proof!
% 220.92/221.30 maxweight = 32
% 220.92/221.30 maxnrclauses = 10000000
% 220.92/221.30 Generated: 903527
% 220.92/221.30 Kept: 2842
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 The strategy used was not complete!
% 220.92/221.30
% 220.92/221.30 Increased maxweight to 33
% 220.92/221.30
% 220.92/221.30 Starting Search:
% 220.92/221.30
% 220.92/221.30 Resimplifying inuse:
% 220.92/221.30 Done
% 220.92/221.30
% 220.92/221.30
% 220.92/221.30 Intermediate Status:
% 220.92/221.30 Generated: 177113
% 220.92/221.30 Kept: 2019
% 220.92/221.30 Inuse: 969
% 220.92/221.30 Deleted: 309
% 220.92/221.30 Deletedinuse:Terminated
% 299.66/300.03 Bliksem ended
%------------------------------------------------------------------------------