%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWX220-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 06:56:50 PM UTC 2026
% Result : Timeout 299.54s 300.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWX220-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : bliksem %s
% 0.16/0.33 % Computer : n019.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % DateTime : Tue May 5 12:27:29 EDT 2026
% 0.16/0.33 % CPUTime :
% 10.53/10.99 *** allocated 10000 integers for termspace/termends
% 10.53/10.99 *** allocated 10000 integers for clauses
% 10.53/10.99 *** allocated 10000 integers for justifications
% 10.53/10.99 Bliksem 1.12
% 10.53/10.99
% 10.53/10.99
% 10.53/10.99 Automatic Strategy Selection
% 10.53/10.99
% 10.53/10.99 Clauses:
% 10.53/10.99 [
% 10.53/10.99 [ =( aux( X, Y, Z, nothing ), bfalse ) ],
% 10.53/10.99 [ =( aux( X, Y, Z, just( T ) ), eq( T, Y ) ) ],
% 10.53/10.99 [ =( notb( btrue ), bfalse ) ],
% 10.53/10.99 [ =( notb( bfalse ), btrue ) ],
% 10.53/10.99 [ =( index( nil, X ), nothing ) ],
% 10.53/10.99 [ =( index( cons( X, Y ), zero ), just( X ) ) ],
% 10.53/10.99 [ =( index( cons( X, Y ), suc( Z ) ), index( Y, Z ) ) ],
% 10.53/10.99 [ =( andb( btrue, X ), X ) ],
% 10.53/10.99 [ =( andb( bfalse, X ), bfalse ) ],
% 10.53/10.99 [ =( tc( X, app( Y, Z, T ), U ), andb( tc( X, Y, arr( T, U ) ), tc( X, Z
% 10.53/10.99 , T ) ) ) ],
% 10.53/10.99 [ =( tc( X, lam( Y ), arr( Z, T ) ), tc( cons( Z, X ), Y, T ) ) ],
% 10.53/10.99 [ =( tc( X, lam( Y ), a ), bfalse ) ],
% 10.53/10.99 [ =( tc( X, lam( Y ), b ), bfalse ) ],
% 10.53/10.99 [ =( tc( X, lam( Y ), c ), bfalse ) ],
% 10.53/10.99 [ =( tc( X, var( Y ), Z ), aux( X, Z, Y, index( X, Y ) ) ) ],
% 10.53/10.99 [ =( 'sat_synth_flip'( X ), notb( tc( nil, X, arr( arr( a, arr( b, c ) )
% 10.53/10.99 , arr( b, arr( a, c ) ) ) ) ) ) ],
% 10.53/10.99 [ =( eq( a, b ), bfalse ) ],
% 10.53/10.99 [ =( eq( a, c ), bfalse ) ],
% 10.53/10.99 [ =( eq( b, a ), bfalse ) ],
% 10.53/10.99 [ =( eq( b, c ), bfalse ) ],
% 10.53/10.99 [ =( eq( c, a ), bfalse ) ],
% 10.53/10.99 [ =( eq( c, b ), bfalse ) ],
% 10.53/10.99 [ =( eq4( bfalse, btrue ), bfalse ) ],
% 10.53/10.99 [ =( eq4( btrue, bfalse ), bfalse ) ],
% 10.53/10.99 [ =( eq2( suc( X ), suc( Y ) ), eq2( X, Y ) ) ],
% 10.53/10.99 [ =( eq2( zero, suc( X ) ), bfalse ) ],
% 10.53/10.99 [ =( eq2( suc( X ), zero ), bfalse ) ],
% 10.53/10.99 [ ~( =( eq( X, Y ), bfalse ) ), =( eq( arr( X, Z ), arr( Y, T ) ),
% 10.53/10.99 bfalse ) ],
% 10.53/10.99 [ ~( =( eq( X, Y ), btrue ) ), =( eq( arr( X, Z ), arr( Y, T ) ), eq( Z
% 10.53/10.99 , T ) ) ],
% 10.53/10.99 [ =( eq( arr( X, Y ), a ), bfalse ) ],
% 10.53/10.99 [ =( eq( arr( X, Y ), b ), bfalse ) ],
% 10.53/10.99 [ =( eq( arr( X, Y ), c ), bfalse ) ],
% 10.53/10.99 [ =( eq( a, arr( X, Y ) ), bfalse ) ],
% 10.53/10.99 [ =( eq( b, arr( X, Y ) ), bfalse ) ],
% 10.53/10.99 [ =( eq( c, arr( X, Y ) ), bfalse ) ],
% 10.53/10.99 [ ~( =( eq3( X, Y ), bfalse ) ), =( eq3( app( X, Z, T ), app( Y, U, W )
% 10.53/10.99 ), bfalse ) ],
% 10.53/10.99 [ ~( =( eq3( X, Y ), bfalse ) ), ~( =( eq3( Z, T ), btrue ) ), =( eq3(
% 10.53/10.99 app( Z, X, U ), app( T, Y, W ) ), bfalse ) ],
% 10.53/10.99 [ ~( =( eq3( X, Y ), btrue ) ), ~( =( eq3( Z, T ), btrue ) ), =( eq3(
% 10.53/10.99 app( X, Z, U ), app( Y, T, W ) ), eq( U, W ) ) ],
% 10.53/10.99 [ =( eq3( lam( X ), lam( Y ) ), eq3( X, Y ) ) ],
% 10.53/10.99 [ =( eq3( var( X ), var( Y ) ), eq2( X, Y ) ) ],
% 10.53/10.99 [ =( eq3( app( X, Y, Z ), lam( T ) ), bfalse ) ],
% 10.53/10.99 [ =( eq3( app( X, Y, Z ), var( T ) ), bfalse ) ],
% 10.53/10.99 [ =( eq3( lam( X ), app( Y, Z, T ) ), bfalse ) ],
% 10.53/10.99 [ =( eq3( lam( X ), var( Y ) ), bfalse ) ],
% 10.53/10.99 [ =( eq3( var( X ), app( Y, Z, T ) ), bfalse ) ],
% 10.53/10.99 [ =( eq3( var( X ), lam( Y ) ), bfalse ) ],
% 10.53/10.99 [ =( eq( X, X ), btrue ) ],
% 10.53/10.99 [ =( eq2( X, X ), btrue ) ],
% 10.53/10.99 [ =( eq3( X, X ), btrue ) ],
% 10.53/10.99 [ =( eq4( X, X ), btrue ) ],
% 10.53/10.99 [ ~( =( eq4( 'sat_synth_flip'( X ), bfalse ), btrue ) ) ]
% 10.53/10.99 ] .
% 10.53/10.99
% 10.53/10.99
% 10.53/10.99 percentage equality = 1.000000, percentage horn = 1.000000
% 10.53/10.99 This is a pure equality problem
% 10.53/10.99
% 10.53/10.99
% 10.53/10.99
% 10.53/10.99 Options Used:
% 10.53/10.99
% 10.53/10.99 useres = 1
% 10.53/10.99 useparamod = 1
% 10.53/10.99 useeqrefl = 1
% 10.53/10.99 useeqfact = 1
% 10.53/10.99 usefactor = 1
% 10.53/10.99 usesimpsplitting = 0
% 10.53/10.99 usesimpdemod = 5
% 10.53/10.99 usesimpres = 3
% 10.53/10.99
% 10.53/10.99 resimpinuse = 1000
% 10.53/10.99 resimpclauses = 20000
% 10.53/10.99 substype = eqrewr
% 10.53/10.99 backwardsubs = 1
% 10.53/10.99 selectoldest = 5
% 10.53/10.99
% 10.53/10.99 litorderings [0] = split
% 10.53/10.99 litorderings [1] = extend the termordering, first sorting on arguments
% 10.53/10.99
% 10.53/10.99 termordering = kbo
% 10.53/10.99
% 10.53/10.99 litapriori = 0
% 10.53/10.99 termapriori = 1
% 10.53/10.99 litaposteriori = 0
% 10.53/10.99 termaposteriori = 0
% 10.53/10.99 demodaposteriori = 0
% 10.53/10.99 ordereqreflfact = 0
% 10.53/10.99
% 10.53/10.99 litselect = negord
% 10.53/10.99
% 10.53/10.99 maxweight = 15
% 10.53/10.99 maxdepth = 30000
% 10.53/10.99 maxlength = 115
% 10.53/10.99 maxnrvars = 195
% 10.53/10.99 excuselevel = 1
% 10.53/10.99 increasemaxweight = 1
% 10.53/10.99
% 10.53/10.99 maxselected = 10000000
% 10.53/10.99 maxnrclauses = 10000000
% 10.53/10.99
% 10.53/10.99 showgenerated = 0
% 10.53/10.99 showkept = 0
% 10.53/10.99 showselected = 0
% 10.53/10.99 showdeleted = 0
% 10.53/10.99 showresimp = 1
% 10.53/10.99 showstatus = 2000
% 10.53/10.99
% 10.53/10.99 prologoutput = 1
% 10.53/10.99 nrgoals = 5000000
% 10.53/10.99 totalproof = 1
% 10.53/10.99
% 10.53/10.99 Symbols occurring in the translation:
% 10.53/10.99
% 10.53/10.99 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 10.53/10.99 . [1, 2] (w:1, o:43, a:1, s:1, b:0),
% 10.53/10.99 ! [4, 1] (w:0, o:32, a:1, s:1, b:0),
% 43.82/44.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 43.82/44.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 43.82/44.25 nothing [42, 0] (w:1, o:16, a:1, s:1, b:0),
% 43.82/44.25 aux [43, 4] (w:1, o:78, a:1, s:1, b:0),
% 43.82/44.25 bfalse [44, 0] (w:1, o:18, a:1, s:1, b:0),
% 43.82/44.25 just [46, 1] (w:1, o:37, a:1, s:1, b:0),
% 43.82/44.25 eq [47, 2] (w:1, o:68, a:1, s:1, b:0),
% 43.82/44.25 btrue [48, 0] (w:1, o:21, a:1, s:1, b:0),
% 43.82/44.25 notb [49, 1] (w:1, o:38, a:1, s:1, b:0),
% 43.82/44.25 nil [50, 0] (w:1, o:22, a:1, s:1, b:0),
% 43.82/44.25 index [52, 2] (w:1, o:69, a:1, s:1, b:0),
% 43.82/44.25 cons [54, 2] (w:1, o:70, a:1, s:1, b:0),
% 43.82/44.25 zero [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 43.82/44.25 suc [57, 1] (w:1, o:39, a:1, s:1, b:0),
% 43.82/44.25 andb [59, 2] (w:1, o:71, a:1, s:1, b:0),
% 43.82/44.25 app [63, 3] (w:1, o:76, a:1, s:1, b:0),
% 43.82/44.25 tc [64, 3] (w:1, o:77, a:1, s:1, b:0),
% 43.82/44.25 arr [65, 2] (w:1, o:72, a:1, s:1, b:0),
% 43.82/44.25 lam [67, 1] (w:1, o:40, a:1, s:1, b:0),
% 43.82/44.25 a [70, 0] (w:1, o:17, a:1, s:1, b:0),
% 43.82/44.25 b [71, 0] (w:1, o:30, a:1, s:1, b:0),
% 43.82/44.25 c [72, 0] (w:1, o:31, a:1, s:1, b:0),
% 43.82/44.25 var [73, 1] (w:1, o:41, a:1, s:1, b:0),
% 43.82/44.25 'sat_synth_flip' [74, 1] (w:1, o:42, a:1, s:1, b:0),
% 43.82/44.25 eq4 [75, 2] (w:1, o:74, a:1, s:1, b:0),
% 43.82/44.25 eq2 [76, 2] (w:1, o:75, a:1, s:1, b:0),
% 43.82/44.25 eq3 [77, 2] (w:1, o:73, a:1, s:1, b:0).
% 43.82/44.25
% 43.82/44.25
% 43.82/44.25 Starting Search:
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Failed to find proof!
% 43.82/44.25 maxweight = 15
% 43.82/44.25 maxnrclauses = 10000000
% 43.82/44.25 Generated: 7271
% 43.82/44.25 Kept: 170
% 43.82/44.25
% 43.82/44.25
% 43.82/44.25 The strategy used was not complete!
% 43.82/44.25
% 43.82/44.25 Increased maxweight to 16
% 43.82/44.25
% 43.82/44.25 Starting Search:
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Failed to find proof!
% 43.82/44.25 maxweight = 16
% 43.82/44.25 maxnrclauses = 10000000
% 43.82/44.25 Generated: 7311
% 43.82/44.25 Kept: 178
% 43.82/44.25
% 43.82/44.25
% 43.82/44.25 The strategy used was not complete!
% 43.82/44.25
% 43.82/44.25 Increased maxweight to 17
% 43.82/44.25
% 43.82/44.25 Starting Search:
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Failed to find proof!
% 43.82/44.25 maxweight = 17
% 43.82/44.25 maxnrclauses = 10000000
% 43.82/44.25 Generated: 8930
% 43.82/44.25 Kept: 209
% 43.82/44.25
% 43.82/44.25
% 43.82/44.25 The strategy used was not complete!
% 43.82/44.25
% 43.82/44.25 Increased maxweight to 18
% 43.82/44.25
% 43.82/44.25 Starting Search:
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Failed to find proof!
% 43.82/44.25 maxweight = 18
% 43.82/44.25 maxnrclauses = 10000000
% 43.82/44.25 Generated: 16088
% 43.82/44.25 Kept: 429
% 43.82/44.25
% 43.82/44.25
% 43.82/44.25 The strategy used was not complete!
% 43.82/44.25
% 43.82/44.25 Increased maxweight to 19
% 43.82/44.25
% 43.82/44.25 Starting Search:
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Failed to find proof!
% 43.82/44.25 maxweight = 19
% 43.82/44.25 maxnrclauses = 10000000
% 43.82/44.25 Generated: 20449
% 43.82/44.25 Kept: 551
% 43.82/44.25
% 43.82/44.25
% 43.82/44.25 The strategy used was not complete!
% 43.82/44.25
% 43.82/44.25 Increased maxweight to 20
% 43.82/44.25
% 43.82/44.25 Starting Search:
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Failed to find proof!
% 43.82/44.25 maxweight = 20
% 43.82/44.25 maxnrclauses = 10000000
% 43.82/44.25 Generated: 35044
% 43.82/44.25 Kept: 842
% 43.82/44.25
% 43.82/44.25
% 43.82/44.25 The strategy used was not complete!
% 43.82/44.25
% 43.82/44.25 Increased maxweight to 21
% 43.82/44.25
% 43.82/44.25 Starting Search:
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Failed to find proof!
% 43.82/44.25 maxweight = 21
% 43.82/44.25 maxnrclauses = 10000000
% 43.82/44.25 Generated: 50955
% 43.82/44.25 Kept: 1185
% 43.82/44.25
% 43.82/44.25
% 43.82/44.25 The strategy used was not complete!
% 43.82/44.25
% 43.82/44.25 Increased maxweight to 22
% 43.82/44.25
% 43.82/44.25 Starting Search:
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Failed to find proof!
% 43.82/44.25 maxweight = 22
% 43.82/44.25 maxnrclauses = 10000000
% 43.82/44.25 Generated: 97217
% 43.82/44.25 Kept: 1641
% 43.82/44.25
% 43.82/44.25
% 43.82/44.25 The strategy used was not complete!
% 43.82/44.25
% 43.82/44.25 Increased maxweight to 23
% 43.82/44.25
% 43.82/44.25 Starting Search:
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25
% 43.82/44.25 Intermediate Status:
% 43.82/44.25 Generated: 37091
% 43.82/44.25 Kept: 2005
% 43.82/44.25 Inuse: 733
% 43.82/44.25 Deleted: 166
% 43.82/44.25 Deletedinuse: 2
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25
% 43.82/44.25 Intermediate Status:
% 43.82/44.25 Generated: 217033
% 43.82/44.25 Kept: 4009
% 43.82/44.25 Inuse: 2631
% 43.82/44.25 Deleted: 743
% 43.82/44.25 Deletedinuse: 2
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Failed to find proof!
% 43.82/44.25 maxweight = 23
% 43.82/44.25 maxnrclauses = 10000000
% 43.82/44.25 Generated: 296395
% 43.82/44.25 Kept: 4602
% 43.82/44.25
% 43.82/44.25
% 43.82/44.25 The strategy used was not complete!
% 43.82/44.25
% 43.82/44.25 Increased maxweight to 24
% 43.82/44.25
% 43.82/44.25 Starting Search:
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25
% 43.82/44.25 Intermediate Status:
% 43.82/44.25 Generated: 27392
% 43.82/44.25 Kept: 2003
% 43.82/44.25 Inuse: 602
% 43.82/44.25 Deleted: 103
% 43.82/44.25 Deletedinuse: 2
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25
% 43.82/44.25 Intermediate Status:
% 43.82/44.25 Generated: 120888
% 43.82/44.25 Kept: 4006
% 43.82/44.25 Inuse: 1448
% 43.82/44.25 Deleted: 379
% 43.82/44.25 Deletedinuse: 2
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25
% 43.82/44.25 Intermediate Status:
% 43.82/44.25 Generated: 302298
% 43.82/44.25 Kept: 6026
% 43.82/44.25 Inuse: 3056
% 43.82/44.25 Deleted: 1146
% 43.82/44.25 Deletedinuse: 3
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Resimplifying inuse:
% 43.82/44.25 Done
% 43.82/44.25
% 43.82/44.25 Failed to find proof!Terminated
% 299.54/300.03 Bliksem ended
%------------------------------------------------------------------------------