%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWX224-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 06:56:51 PM UTC 2026
% Result : Timeout 299.65s 300.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX224-1 : TPTP v9.3.0. Released v9.3.0.
% 0.13/0.13 % Command : bliksem %s
% 0.16/0.34 % Computer : n016.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % DateTime : Tue May 5 12:41:21 EDT 2026
% 0.16/0.34 % CPUTime :
% 7.51/7.95 *** allocated 10000 integers for termspace/termends
% 7.51/7.95 *** allocated 10000 integers for clauses
% 7.51/7.95 *** allocated 10000 integers for justifications
% 7.51/7.95 Bliksem 1.12
% 7.51/7.95
% 7.51/7.95
% 7.51/7.95 Automatic Strategy Selection
% 7.51/7.95
% 7.51/7.95 Clauses:
% 7.51/7.95 [
% 7.51/7.95 [ =( aux( X, Y, Z, nothing ), bfalse ) ],
% 7.51/7.95 [ =( aux( X, Y, Z, just( T ) ), eq( T, Y ) ) ],
% 7.51/7.95 [ =( notb( btrue ), bfalse ) ],
% 7.51/7.95 [ =( notb( bfalse ), btrue ) ],
% 7.51/7.95 [ =( index( nil, X ), nothing ) ],
% 7.51/7.95 [ =( index( cons( X, Y ), zero ), just( X ) ) ],
% 7.51/7.95 [ =( index( cons( X, Y ), suc( Z ) ), index( Y, Z ) ) ],
% 7.51/7.95 [ =( andb( btrue, X ), X ) ],
% 7.51/7.95 [ =( andb( bfalse, X ), bfalse ) ],
% 7.51/7.95 [ =( tc( X, app( Y, Z, T ), U ), andb( tc( X, Y, arr( T, U ) ), tc( X, Z
% 7.51/7.95 , T ) ) ) ],
% 7.51/7.95 [ =( tc( X, lam( Y ), arr( Z, T ) ), tc( cons( Z, X ), Y, T ) ) ],
% 7.51/7.95 [ =( tc( X, lam( Y ), a ), bfalse ) ],
% 7.51/7.95 [ =( tc( X, lam( Y ), b ), bfalse ) ],
% 7.51/7.95 [ =( tc( X, lam( Y ), c ), bfalse ) ],
% 7.51/7.95 [ =( tc( X, var( Y ), Z ), aux( X, Z, Y, index( X, Y ) ) ) ],
% 7.51/7.95 [ =( 'sat_synth_w'( X ), notb( tc( nil, X, arr( arr( a, arr( a, b ) ),
% 7.51/7.95 arr( a, b ) ) ) ) ) ],
% 7.51/7.95 [ =( eq( a, b ), bfalse ) ],
% 7.51/7.95 [ =( eq( a, c ), bfalse ) ],
% 7.51/7.95 [ =( eq( b, a ), bfalse ) ],
% 7.51/7.95 [ =( eq( b, c ), bfalse ) ],
% 7.51/7.95 [ =( eq( c, a ), bfalse ) ],
% 7.51/7.95 [ =( eq( c, b ), bfalse ) ],
% 7.51/7.95 [ =( eq4( bfalse, btrue ), bfalse ) ],
% 7.51/7.95 [ =( eq4( btrue, bfalse ), bfalse ) ],
% 7.51/7.95 [ =( eq2( suc( X ), suc( Y ) ), eq2( X, Y ) ) ],
% 7.51/7.95 [ =( eq2( zero, suc( X ) ), bfalse ) ],
% 7.51/7.95 [ =( eq2( suc( X ), zero ), bfalse ) ],
% 7.51/7.95 [ ~( =( eq( X, Y ), bfalse ) ), =( eq( arr( X, Z ), arr( Y, T ) ),
% 7.51/7.95 bfalse ) ],
% 7.51/7.95 [ ~( =( eq( X, Y ), btrue ) ), =( eq( arr( X, Z ), arr( Y, T ) ), eq( Z
% 7.51/7.95 , T ) ) ],
% 7.51/7.95 [ =( eq( arr( X, Y ), a ), bfalse ) ],
% 7.51/7.95 [ =( eq( arr( X, Y ), b ), bfalse ) ],
% 7.51/7.95 [ =( eq( arr( X, Y ), c ), bfalse ) ],
% 7.51/7.95 [ =( eq( a, arr( X, Y ) ), bfalse ) ],
% 7.51/7.95 [ =( eq( b, arr( X, Y ) ), bfalse ) ],
% 7.51/7.95 [ =( eq( c, arr( X, Y ) ), bfalse ) ],
% 7.51/7.95 [ ~( =( eq3( X, Y ), bfalse ) ), =( eq3( app( X, Z, T ), app( Y, U, W )
% 7.51/7.95 ), bfalse ) ],
% 7.51/7.95 [ ~( =( eq3( X, Y ), bfalse ) ), ~( =( eq3( Z, T ), btrue ) ), =( eq3(
% 7.51/7.95 app( Z, X, U ), app( T, Y, W ) ), bfalse ) ],
% 7.51/7.95 [ ~( =( eq3( X, Y ), btrue ) ), ~( =( eq3( Z, T ), btrue ) ), =( eq3(
% 7.51/7.95 app( X, Z, U ), app( Y, T, W ) ), eq( U, W ) ) ],
% 7.51/7.95 [ =( eq3( lam( X ), lam( Y ) ), eq3( X, Y ) ) ],
% 7.51/7.95 [ =( eq3( var( X ), var( Y ) ), eq2( X, Y ) ) ],
% 7.51/7.95 [ =( eq3( app( X, Y, Z ), lam( T ) ), bfalse ) ],
% 7.51/7.95 [ =( eq3( app( X, Y, Z ), var( T ) ), bfalse ) ],
% 7.51/7.95 [ =( eq3( lam( X ), app( Y, Z, T ) ), bfalse ) ],
% 7.51/7.95 [ =( eq3( lam( X ), var( Y ) ), bfalse ) ],
% 7.51/7.95 [ =( eq3( var( X ), app( Y, Z, T ) ), bfalse ) ],
% 7.51/7.95 [ =( eq3( var( X ), lam( Y ) ), bfalse ) ],
% 7.51/7.95 [ =( eq( X, X ), btrue ) ],
% 7.51/7.95 [ =( eq2( X, X ), btrue ) ],
% 7.51/7.95 [ =( eq3( X, X ), btrue ) ],
% 7.51/7.95 [ =( eq4( X, X ), btrue ) ],
% 7.51/7.95 [ ~( =( eq4( 'sat_synth_w'( X ), bfalse ), btrue ) ) ]
% 7.51/7.95 ] .
% 7.51/7.95
% 7.51/7.95
% 7.51/7.95 percentage equality = 1.000000, percentage horn = 1.000000
% 7.51/7.95 This is a pure equality problem
% 7.51/7.95
% 7.51/7.95
% 7.51/7.95
% 7.51/7.95 Options Used:
% 7.51/7.95
% 7.51/7.95 useres = 1
% 7.51/7.95 useparamod = 1
% 7.51/7.95 useeqrefl = 1
% 7.51/7.95 useeqfact = 1
% 7.51/7.95 usefactor = 1
% 7.51/7.95 usesimpsplitting = 0
% 7.51/7.95 usesimpdemod = 5
% 7.51/7.95 usesimpres = 3
% 7.51/7.95
% 7.51/7.95 resimpinuse = 1000
% 7.51/7.95 resimpclauses = 20000
% 7.51/7.95 substype = eqrewr
% 7.51/7.95 backwardsubs = 1
% 7.51/7.95 selectoldest = 5
% 7.51/7.95
% 7.51/7.95 litorderings [0] = split
% 7.51/7.95 litorderings [1] = extend the termordering, first sorting on arguments
% 7.51/7.95
% 7.51/7.95 termordering = kbo
% 7.51/7.95
% 7.51/7.95 litapriori = 0
% 7.51/7.95 termapriori = 1
% 7.51/7.95 litaposteriori = 0
% 7.51/7.95 termaposteriori = 0
% 7.51/7.95 demodaposteriori = 0
% 7.51/7.95 ordereqreflfact = 0
% 7.51/7.95
% 7.51/7.95 litselect = negord
% 7.51/7.95
% 7.51/7.95 maxweight = 15
% 7.51/7.95 maxdepth = 30000
% 7.51/7.95 maxlength = 115
% 7.51/7.95 maxnrvars = 195
% 7.51/7.95 excuselevel = 1
% 7.51/7.95 increasemaxweight = 1
% 7.51/7.95
% 7.51/7.95 maxselected = 10000000
% 7.51/7.95 maxnrclauses = 10000000
% 7.51/7.95
% 7.51/7.95 showgenerated = 0
% 7.51/7.95 showkept = 0
% 7.51/7.95 showselected = 0
% 7.51/7.95 showdeleted = 0
% 7.51/7.95 showresimp = 1
% 7.51/7.95 showstatus = 2000
% 7.51/7.95
% 7.51/7.95 prologoutput = 1
% 7.51/7.95 nrgoals = 5000000
% 7.51/7.95 totalproof = 1
% 7.51/7.95
% 7.51/7.95 Symbols occurring in the translation:
% 7.51/7.95
% 7.51/7.95 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 7.51/7.95 . [1, 2] (w:1, o:43, a:1, s:1, b:0),
% 7.51/7.95 ! [4, 1] (w:0, o:32, a:1, s:1, b:0),
% 7.51/7.95 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 41.99/42.48 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 41.99/42.48 nothing [42, 0] (w:1, o:16, a:1, s:1, b:0),
% 41.99/42.48 aux [43, 4] (w:1, o:78, a:1, s:1, b:0),
% 41.99/42.48 bfalse [44, 0] (w:1, o:18, a:1, s:1, b:0),
% 41.99/42.48 just [46, 1] (w:1, o:37, a:1, s:1, b:0),
% 41.99/42.48 eq [47, 2] (w:1, o:68, a:1, s:1, b:0),
% 41.99/42.48 btrue [48, 0] (w:1, o:21, a:1, s:1, b:0),
% 41.99/42.48 notb [49, 1] (w:1, o:38, a:1, s:1, b:0),
% 41.99/42.48 nil [50, 0] (w:1, o:22, a:1, s:1, b:0),
% 41.99/42.48 index [52, 2] (w:1, o:69, a:1, s:1, b:0),
% 41.99/42.48 cons [54, 2] (w:1, o:70, a:1, s:1, b:0),
% 41.99/42.48 zero [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 41.99/42.48 suc [57, 1] (w:1, o:39, a:1, s:1, b:0),
% 41.99/42.48 andb [59, 2] (w:1, o:71, a:1, s:1, b:0),
% 41.99/42.48 app [63, 3] (w:1, o:76, a:1, s:1, b:0),
% 41.99/42.48 tc [64, 3] (w:1, o:77, a:1, s:1, b:0),
% 41.99/42.48 arr [65, 2] (w:1, o:72, a:1, s:1, b:0),
% 41.99/42.48 lam [67, 1] (w:1, o:40, a:1, s:1, b:0),
% 41.99/42.48 a [70, 0] (w:1, o:17, a:1, s:1, b:0),
% 41.99/42.48 b [71, 0] (w:1, o:30, a:1, s:1, b:0),
% 41.99/42.48 c [72, 0] (w:1, o:31, a:1, s:1, b:0),
% 41.99/42.48 var [73, 1] (w:1, o:41, a:1, s:1, b:0),
% 41.99/42.48 'sat_synth_w' [74, 1] (w:1, o:42, a:1, s:1, b:0),
% 41.99/42.48 eq4 [75, 2] (w:1, o:74, a:1, s:1, b:0),
% 41.99/42.48 eq2 [76, 2] (w:1, o:75, a:1, s:1, b:0),
% 41.99/42.48 eq3 [77, 2] (w:1, o:73, a:1, s:1, b:0).
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 Starting Search:
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Failed to find proof!
% 41.99/42.48 maxweight = 15
% 41.99/42.48 maxnrclauses = 10000000
% 41.99/42.48 Generated: 7271
% 41.99/42.48 Kept: 170
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 The strategy used was not complete!
% 41.99/42.48
% 41.99/42.48 Increased maxweight to 16
% 41.99/42.48
% 41.99/42.48 Starting Search:
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Failed to find proof!
% 41.99/42.48 maxweight = 16
% 41.99/42.48 maxnrclauses = 10000000
% 41.99/42.48 Generated: 7311
% 41.99/42.48 Kept: 178
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 The strategy used was not complete!
% 41.99/42.48
% 41.99/42.48 Increased maxweight to 17
% 41.99/42.48
% 41.99/42.48 Starting Search:
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Failed to find proof!
% 41.99/42.48 maxweight = 17
% 41.99/42.48 maxnrclauses = 10000000
% 41.99/42.48 Generated: 8930
% 41.99/42.48 Kept: 209
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 The strategy used was not complete!
% 41.99/42.48
% 41.99/42.48 Increased maxweight to 18
% 41.99/42.48
% 41.99/42.48 Starting Search:
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Failed to find proof!
% 41.99/42.48 maxweight = 18
% 41.99/42.48 maxnrclauses = 10000000
% 41.99/42.48 Generated: 16536
% 41.99/42.48 Kept: 470
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 The strategy used was not complete!
% 41.99/42.48
% 41.99/42.48 Increased maxweight to 19
% 41.99/42.48
% 41.99/42.48 Starting Search:
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Failed to find proof!
% 41.99/42.48 maxweight = 19
% 41.99/42.48 maxnrclauses = 10000000
% 41.99/42.48 Generated: 21098
% 41.99/42.48 Kept: 607
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 The strategy used was not complete!
% 41.99/42.48
% 41.99/42.48 Increased maxweight to 20
% 41.99/42.48
% 41.99/42.48 Starting Search:
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Failed to find proof!
% 41.99/42.48 maxweight = 20
% 41.99/42.48 maxnrclauses = 10000000
% 41.99/42.48 Generated: 35146
% 41.99/42.48 Kept: 849
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 The strategy used was not complete!
% 41.99/42.48
% 41.99/42.48 Increased maxweight to 21
% 41.99/42.48
% 41.99/42.48 Starting Search:
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Failed to find proof!
% 41.99/42.48 maxweight = 21
% 41.99/42.48 maxnrclauses = 10000000
% 41.99/42.48 Generated: 49890
% 41.99/42.48 Kept: 1094
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 The strategy used was not complete!
% 41.99/42.48
% 41.99/42.48 Increased maxweight to 22
% 41.99/42.48
% 41.99/42.48 Starting Search:
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Failed to find proof!
% 41.99/42.48 maxweight = 22
% 41.99/42.48 maxnrclauses = 10000000
% 41.99/42.48 Generated: 95413
% 41.99/42.48 Kept: 1534
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 The strategy used was not complete!
% 41.99/42.48
% 41.99/42.48 Increased maxweight to 23
% 41.99/42.48
% 41.99/42.48 Starting Search:
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 Intermediate Status:
% 41.99/42.48 Generated: 37008
% 41.99/42.48 Kept: 2005
% 41.99/42.48 Inuse: 733
% 41.99/42.48 Deleted: 166
% 41.99/42.48 Deletedinuse: 2
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 Intermediate Status:
% 41.99/42.48 Generated: 218365
% 41.99/42.48 Kept: 4005
% 41.99/42.48 Inuse: 2590
% 41.99/42.48 Deleted: 781
% 41.99/42.48 Deletedinuse: 2
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Failed to find proof!
% 41.99/42.48 maxweight = 23
% 41.99/42.48 maxnrclauses = 10000000
% 41.99/42.48 Generated: 293600
% 41.99/42.48 Kept: 4450
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 The strategy used was not complete!
% 41.99/42.48
% 41.99/42.48 Increased maxweight to 24
% 41.99/42.48
% 41.99/42.48 Starting Search:
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 Intermediate Status:
% 41.99/42.48 Generated: 27541
% 41.99/42.48 Kept: 2000
% 41.99/42.48 Inuse: 611
% 41.99/42.48 Deleted: 109
% 41.99/42.48 Deletedinuse: 2
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 Intermediate Status:
% 41.99/42.48 Generated: 86287
% 41.99/42.48 Kept: 4004
% 41.99/42.48 Inuse: 1380
% 41.99/42.48 Deleted: 358
% 41.99/42.48 Deletedinuse: 99
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 Intermediate Status:
% 41.99/42.48 Generated: 232143
% 41.99/42.48 Kept: 6005
% 41.99/42.48 Inuse: 2493
% 41.99/42.48 Deleted: 793
% 41.99/42.48 Deletedinuse: 175
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48 Resimplifying inuse:
% 41.99/42.48 Done
% 41.99/42.48
% 41.99/42.48
% 41.99/42.48 Intermediate Status:
% 41.99/42.48 Generated: 386937
% 41.99/42.48 Kept: 8005
% 41.99/42.48 InusTerminated
% 299.65/300.03 Bliksem ended
% 299.65/300.03 Terminated
%------------------------------------------------------------------------------