%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWX226+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 299.57s 300.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWX226+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.17/0.35 % Computer : n005.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % DateTime : Tue May 5 12:47:00 EDT 2026
% 0.17/0.35 % CPUTime :
% 27.94/28.35 *** allocated 10000 integers for termspace/termends
% 27.94/28.35 *** allocated 10000 integers for clauses
% 27.94/28.35 *** allocated 10000 integers for justifications
% 27.94/28.35 Bliksem 1.12
% 27.94/28.35
% 27.94/28.35
% 27.94/28.35 Automatic Strategy Selection
% 27.94/28.35
% 27.94/28.35
% 27.94/28.35 Clauses:
% 27.94/28.35
% 27.94/28.35 { proj1( x( X, Y ) ) = X }.
% 27.94/28.35 { proj2( x( X, Y ) ) = Y }.
% 27.94/28.35 { ! x( X, Y ) = theVar }.
% 27.94/28.35 { ! x( X, Y ) = k }.
% 27.94/28.35 { ! x( X, Y ) = i }.
% 27.94/28.35 { ! x( X, Y ) = s }.
% 27.94/28.35 { ! x( X, Y ) = b }.
% 27.94/28.35 { ! x( X, Y ) = c }.
% 27.94/28.35 { ! theVar = k }.
% 27.94/28.35 { ! theVar = i }.
% 27.94/28.35 { ! theVar = s }.
% 27.94/28.35 { ! theVar = b }.
% 27.94/28.35 { ! theVar = c }.
% 27.94/28.35 { ! k = i }.
% 27.94/28.35 { ! k = s }.
% 27.94/28.35 { ! k = b }.
% 27.94/28.35 { ! k = c }.
% 27.94/28.35 { ! i = s }.
% 27.94/28.35 { ! i = b }.
% 27.94/28.35 { ! i = c }.
% 27.94/28.35 { ! s = b }.
% 27.94/28.35 { ! s = c }.
% 27.94/28.35 { ! b = c }.
% 27.94/28.35 { proj1Suc( suc( X ) ) = X }.
% 27.94/28.35 { ! suc( X ) = z }.
% 27.94/28.35 { proj1Just( just( X ) ) = X }.
% 27.94/28.35 { ! nothing = just( X ) }.
% 27.94/28.35 { fail( X, Y ) = par( X, Y, step( X ), step( Y ) ) }.
% 27.94/28.35 { par( X, Y, nothing, nothing ) = nothing }.
% 27.94/28.35 { par( X, Y, nothing, just( Z ) ) = just( x( X, Z ) ) }.
% 27.94/28.35 { par( X, Y, just( Z ), nothing ) = just( x( Z, Y ) ) }.
% 27.94/28.35 { par( X, Y, just( Z ), just( T ) ) = just( x( Z, T ) ) }.
% 27.94/28.35 { X = x( proj1( X ), proj2( X ) ), step( X ) = nothing }.
% 27.94/28.35 { X = x( proj1( X ), proj2( X ) ), X = i, step( x( X, Y ) ) = fail( X, Y )
% 27.94/28.35 }.
% 27.94/28.35 { X = x( proj1( X ), proj2( X ) ), X = k, step( x( x( X, Z ), Y ) ) = fail
% 27.94/28.35 ( x( X, Z ), Y ) }.
% 27.94/28.35 { X = s, X = b, X = c, step( x( x( x( X, T ), Z ), Y ) ) = fail( x( x( X, T
% 27.94/28.35 ), Z ), Y ) }.
% 27.94/28.35 { step( x( x( x( s, Z ), Y ), X ) ) = just( x( x( Z, X ), x( Y, X ) ) ) }.
% 27.94/28.35 { step( x( x( x( b, Z ), Y ), X ) ) = just( x( Z, x( Y, X ) ) ) }.
% 27.94/28.35 { step( x( x( x( c, Z ), Y ), X ) ) = just( x( x( Z, X ), Y ) ) }.
% 27.94/28.35 { step( x( x( k, Y ), X ) ) = just( Y ) }.
% 27.94/28.35 { step( x( i, X ) ) = just( X ) }.
% 27.94/28.35 { X = x( proj1( X ), proj2( X ) ), X = theVar, ! cheating( X ) }.
% 27.94/28.35 { ! cheating( x( X, Y ) ), cheating( X ), cheating( Y ) }.
% 27.94/28.35 { ! cheating( X ), cheating( x( X, Y ) ) }.
% 27.94/28.35 { ! cheating( Y ), cheating( x( X, Y ) ) }.
% 27.94/28.35 { cheating( theVar ) }.
% 27.94/28.35 { ! step( X ) = nothing, astep( suc( Y ), X ) = nothing }.
% 27.94/28.35 { ! step( X ) = just( Y ), astep( suc( Z ), X ) = astep( Z, Y ) }.
% 27.94/28.35 { astep( z, X ) = just( X ) }.
% 27.94/28.35 { ! astep( X, x( Y, theVar ) ) = just( x( theVar, x( Y, theVar ) ) ),
% 27.94/28.35 cheating( Y ) }.
% 27.94/28.35
% 27.94/28.35 percentage equality = 0.850746, percentage horn = 0.880000
% 27.94/28.35 This is a pure equality problem
% 27.94/28.35
% 27.94/28.35
% 27.94/28.35
% 27.94/28.35 Options Used:
% 27.94/28.35
% 27.94/28.35 useres = 1
% 27.94/28.35 useparamod = 1
% 27.94/28.35 useeqrefl = 1
% 27.94/28.35 useeqfact = 1
% 27.94/28.35 usefactor = 1
% 27.94/28.35 usesimpsplitting = 0
% 27.94/28.35 usesimpdemod = 5
% 27.94/28.35 usesimpres = 3
% 27.94/28.35
% 27.94/28.35 resimpinuse = 1000
% 27.94/28.35 resimpclauses = 20000
% 27.94/28.35 substype = eqrewr
% 27.94/28.35 backwardsubs = 1
% 27.94/28.35 selectoldest = 5
% 27.94/28.35
% 27.94/28.35 litorderings [0] = split
% 27.94/28.35 litorderings [1] = extend the termordering, first sorting on arguments
% 27.94/28.35
% 27.94/28.35 termordering = kbo
% 27.94/28.35
% 27.94/28.35 litapriori = 0
% 27.94/28.35 termapriori = 1
% 27.94/28.35 litaposteriori = 0
% 27.94/28.35 termaposteriori = 0
% 27.94/28.35 demodaposteriori = 0
% 27.94/28.35 ordereqreflfact = 0
% 27.94/28.35
% 27.94/28.35 litselect = negord
% 27.94/28.35
% 27.94/28.35 maxweight = 15
% 27.94/28.35 maxdepth = 30000
% 27.94/28.35 maxlength = 115
% 27.94/28.35 maxnrvars = 195
% 27.94/28.35 excuselevel = 1
% 27.94/28.35 increasemaxweight = 1
% 27.94/28.35
% 27.94/28.35 maxselected = 10000000
% 27.94/28.35 maxnrclauses = 10000000
% 27.94/28.35
% 27.94/28.35 showgenerated = 0
% 27.94/28.35 showkept = 0
% 27.94/28.35 showselected = 0
% 27.94/28.35 showdeleted = 0
% 27.94/28.35 showresimp = 1
% 27.94/28.35 showstatus = 2000
% 27.94/28.35
% 27.94/28.35 prologoutput = 0
% 27.94/28.35 nrgoals = 5000000
% 27.94/28.35 totalproof = 1
% 27.94/28.35
% 27.94/28.35 Symbols occurring in the translation:
% 27.94/28.35
% 27.94/28.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 27.94/28.35 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 27.94/28.35 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 27.94/28.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.94/28.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.94/28.35 x [37, 2] (w:1, o:65, a:1, s:1, b:0),
% 27.94/28.35 proj1 [38, 1] (w:1, o:33, a:1, s:1, b:0),
% 27.94/28.35 proj2 [39, 1] (w:1, o:36, a:1, s:1, b:0),
% 27.94/28.35 theVar [40, 0] (w:1, o:9, a:1, s:1, b:0),
% 27.94/28.35 k [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 27.94/28.35 i [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 27.94/28.35 s [43, 0] (w:1, o:8, a:1, s:1, b:0),
% 27.94/28.35 b [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 27.94/28.35 c [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 27.94/28.35 suc [46, 1] (w:1, o:38, a:1, s:1, b:0),
% 27.94/28.35 proj1Suc [47, 1] (w:1, o:34, a:1, s:1, b:0),
% 27.94/28.35 z [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 27.94/28.35 just [49, 1] (w:1, o:39, a:1, s:1, b:0),
% 27.94/28.35 proj1Just [50, 1] (w:1, o:35, a:1, s:1, b:0),
% 217.94/218.35 nothing [51, 0] (w:1, o:15, a:1, s:1, b:0),
% 217.94/218.35 fail [54, 2] (w:1, o:66, a:1, s:1, b:0),
% 217.94/218.35 step [55, 1] (w:1, o:37, a:1, s:1, b:0),
% 217.94/218.35 par [56, 4] (w:1, o:68, a:1, s:1, b:0),
% 217.94/218.35 cheating [63, 1] (w:1, o:40, a:1, s:1, b:0),
% 217.94/218.35 astep [67, 2] (w:1, o:67, a:1, s:1, b:0).
% 217.94/218.35
% 217.94/218.35
% 217.94/218.35 Starting Search:
% 217.94/218.35
% 217.94/218.35 *** allocated 15000 integers for clauses
% 217.94/218.35 *** allocated 22500 integers for clauses
% 217.94/218.35 *** allocated 33750 integers for clauses
% 217.94/218.35 *** allocated 15000 integers for termspace/termends
% 217.94/218.35 *** allocated 50625 integers for clauses
% 217.94/218.35 *** allocated 22500 integers for termspace/termends
% 217.94/218.35 *** allocated 75937 integers for clauses
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 *** allocated 113905 integers for clauses
% 217.94/218.35 *** allocated 33750 integers for termspace/termends
% 217.94/218.35 *** allocated 170857 integers for clauses
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 7782
% 217.94/218.35 Kept: 2190
% 217.94/218.35 Inuse: 151
% 217.94/218.35 Deleted: 5
% 217.94/218.35 Deletedinuse: 0
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 *** allocated 50625 integers for termspace/termends
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 *** allocated 256285 integers for clauses
% 217.94/218.35 *** allocated 75937 integers for termspace/termends
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 13746
% 217.94/218.35 Kept: 4248
% 217.94/218.35 Inuse: 196
% 217.94/218.35 Deleted: 5
% 217.94/218.35 Deletedinuse: 0
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 *** allocated 384427 integers for clauses
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 *** allocated 113905 integers for termspace/termends
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 19834
% 217.94/218.35 Kept: 6268
% 217.94/218.35 Inuse: 243
% 217.94/218.35 Deleted: 5
% 217.94/218.35 Deletedinuse: 0
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 *** allocated 576640 integers for clauses
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 27016
% 217.94/218.35 Kept: 8273
% 217.94/218.35 Inuse: 287
% 217.94/218.35 Deleted: 5
% 217.94/218.35 Deletedinuse: 0
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 *** allocated 170857 integers for termspace/termends
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 34196
% 217.94/218.35 Kept: 10290
% 217.94/218.35 Inuse: 344
% 217.94/218.35 Deleted: 5
% 217.94/218.35 Deletedinuse: 0
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 *** allocated 864960 integers for clauses
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 40626
% 217.94/218.35 Kept: 12293
% 217.94/218.35 Inuse: 389
% 217.94/218.35 Deleted: 5
% 217.94/218.35 Deletedinuse: 0
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 *** allocated 256285 integers for termspace/termends
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 48722
% 217.94/218.35 Kept: 14448
% 217.94/218.35 Inuse: 441
% 217.94/218.35 Deleted: 5
% 217.94/218.35 Deletedinuse: 0
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 69217
% 217.94/218.35 Kept: 16479
% 217.94/218.35 Inuse: 487
% 217.94/218.35 Deleted: 6
% 217.94/218.35 Deletedinuse: 0
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 89597
% 217.94/218.35 Kept: 18482
% 217.94/218.35 Inuse: 539
% 217.94/218.35 Deleted: 9
% 217.94/218.35 Deletedinuse: 2
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 *** allocated 1297440 integers for clauses
% 217.94/218.35 *** allocated 384427 integers for termspace/termends
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 Resimplifying clauses:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 108186
% 217.94/218.35 Kept: 20694
% 217.94/218.35 Inuse: 609
% 217.94/218.35 Deleted: 145
% 217.94/218.35 Deletedinuse: 2
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 121638
% 217.94/218.35 Kept: 22784
% 217.94/218.35 Inuse: 647
% 217.94/218.35 Deleted: 145
% 217.94/218.35 Deletedinuse: 2
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 126131
% 217.94/218.35 Kept: 25248
% 217.94/218.35 Inuse: 653
% 217.94/218.35 Deleted: 145
% 217.94/218.35 Deletedinuse: 2
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 129904
% 217.94/218.35 Kept: 27248
% 217.94/218.35 Inuse: 658
% 217.94/218.35 Deleted: 145
% 217.94/218.35 Deletedinuse: 2
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 *** allocated 1946160 integers for clauses
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 133725
% 217.94/218.35 Kept: 29272
% 217.94/218.35 Inuse: 663
% 217.94/218.35 Deleted: 145
% 217.94/218.35 Deletedinuse: 2
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 *** allocated 576640 integers for termspace/termends
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 138386
% 217.94/218.35 Kept: 31480
% 217.94/218.35 Inuse: 668
% 217.94/218.35 Deleted: 145
% 217.94/218.35 Deletedinuse: 2
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35
% 217.94/218.35 Intermediate Status:
% 217.94/218.35 Generated: 143099
% 217.94/218.35 Kept: 33548
% 217.94/218.35 Inuse: 673
% 217.94/218.35 Deleted: 145
% 217.94/218.35 Deletedinuse: 2
% 217.94/218.35
% 217.94/218.35 Resimplifying inuse:
% 217.94/218.35 Done
% 217.94/218.35
% 217.94/218.35 Resimplifying inTerminated
% 299.57/300.03 Bliksem ended
%------------------------------------------------------------------------------