%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWX191+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n001.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 06:56:46 PM UTC 2026
% Result : Timeout 299.50s 300.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWX191+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.16/0.35 % Computer : n001.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % DateTime : Tue May 5 10:00:03 EDT 2026
% 0.16/0.35 % CPUTime :
% 38.43/38.87 *** allocated 10000 integers for termspace/termends
% 38.43/38.87 *** allocated 10000 integers for clauses
% 38.43/38.87 *** allocated 10000 integers for justifications
% 38.43/38.87 Bliksem 1.12
% 38.43/38.87
% 38.43/38.87
% 38.43/38.87 Automatic Strategy Selection
% 38.43/38.87
% 38.43/38.87
% 38.43/38.87 Clauses:
% 38.43/38.87
% 38.43/38.87 { proj1S( s( X ) ) = X }.
% 38.43/38.87 { ! s( X ) = z }.
% 38.43/38.87 { proj1N( n( X ) ) = X }.
% 38.43/38.87 { proj1( x( X, Y ) ) = X }.
% 38.43/38.87 { proj2( x( X, Y ) ) = Y }.
% 38.43/38.87 { proj12( y( X, Y ) ) = X }.
% 38.43/38.87 { proj22( y( X, Y ) ) = Y }.
% 38.43/38.87 { ! n( X ) = x( Y, Z ) }.
% 38.43/38.87 { ! n( X ) = y( Y, Z ) }.
% 38.43/38.87 { ! n( X ) = x2 }.
% 38.43/38.87 { ! x( X, Y ) = y( Z, T ) }.
% 38.43/38.87 { ! x( X, Y ) = x2 }.
% 38.43/38.87 { ! y( X, Y ) = x2 }.
% 38.43/38.87 { ! X = Y, fail2( X, Y ) = y( n( s( s( z ) ) ), opt( X ) ) }.
% 38.43/38.87 { X = Y, X = x( proj1( X ), proj2( X ) ), fail2( X, Y ) = x( opt( X ), opt
% 38.43/38.87 ( Y ) ) }.
% 38.43/38.87 { x( Y, Z ) = X, fail2( x( Y, Z ), X ) = opt( x( Y, x( Z, X ) ) ) }.
% 38.43/38.87 { X = n( proj1N( X ) ), fail1( X, Y ) = fail2( X, Y ) }.
% 38.43/38.87 { X = n( proj1N( X ) ), fail1( n( Y ), X ) = fail2( n( Y ), X ) }.
% 38.43/38.87 { fail1( n( X ), n( Y ) ) = n( addNat( X, Y ) ) }.
% 38.43/38.87 { X = n( proj1N( X ) ), fail( Y, X ) = fail1( Y, X ) }.
% 38.43/38.87 { fail( X, n( s( Y ) ) ) = fail1( X, n( s( Y ) ) ) }.
% 38.43/38.87 { fail( X, n( z ) ) = X }.
% 38.43/38.87 { fail4( X, Y ) = y( opt( X ), opt( Y ) ) }.
% 38.43/38.87 { X = n( proj1N( X ) ), X = y( proj12( X ), proj22( X ) ), fail32( X, Y ) =
% 38.43/38.87 fail4( X, Y ) }.
% 38.43/38.87 { X = n( proj1N( X ) ), fail32( n( Y ), X ) = fail4( n( Y ), X ) }.
% 38.43/38.87 { fail32( n( X ), n( Y ) ) = n( mulNat( X, Y ) ) }.
% 38.43/38.87 { fail32( y( Y, Z ), X ) = opt( y( Y, y( Z, X ) ) ) }.
% 38.43/38.87 { X = n( proj1N( X ) ), fail22( Y, X ) = fail32( Y, X ) }.
% 38.43/38.87 { fail22( X, n( s( s( Y ) ) ) ) = fail32( X, n( s( s( Y ) ) ) ) }.
% 38.43/38.87 { fail22( X, n( s( z ) ) ) = X }.
% 38.43/38.87 { fail22( X, n( z ) ) = fail32( X, n( z ) ) }.
% 38.43/38.87 { X = n( proj1N( X ) ), fail12( X, Y ) = fail22( X, Y ) }.
% 38.43/38.87 { fail12( n( s( s( Y ) ) ), X ) = fail22( n( s( s( Y ) ) ), X ) }.
% 38.43/38.87 { fail12( n( s( z ) ), X ) = X }.
% 38.43/38.87 { fail12( n( z ), X ) = fail22( n( z ), X ) }.
% 38.43/38.87 { X = n( proj1N( X ) ), fail3( Y, X ) = fail12( Y, X ) }.
% 38.43/38.87 { fail3( X, n( s( Y ) ) ) = fail12( X, n( s( Y ) ) ) }.
% 38.43/38.87 { fail3( X, n( z ) ) = n( z ) }.
% 38.43/38.87 { d( n( X ) ) = n( z ) }.
% 38.43/38.87 { d( x( X, Y ) ) = x( d( X ), d( Y ) ) }.
% 38.43/38.87 { d( y( X, Y ) ) = x( y( d( X ), Y ), y( X, d( Y ) ) ) }.
% 38.43/38.87 { d( x2 ) = n( s( z ) ) }.
% 38.43/38.87 { addNat( s( Y ), X ) = s( addNat( Y, X ) ) }.
% 38.43/38.87 { addNat( z, X ) = X }.
% 38.43/38.87 { mulNat( s( Y ), X ) = addNat( X, mulNat( Y, X ) ) }.
% 38.43/38.87 { mulNat( z, X ) = z }.
% 38.43/38.87 { X = x( proj1( X ), proj2( X ) ), X = y( proj12( X ), proj22( X ) ), opt(
% 38.43/38.87 X ) = X }.
% 38.43/38.87 { X = n( proj1N( X ) ), opt( x( X, Y ) ) = fail( X, Y ) }.
% 38.43/38.87 { opt( x( n( s( Y ) ), X ) ) = fail( n( s( Y ) ), X ) }.
% 38.43/38.87 { opt( x( n( z ), X ) ) = X }.
% 38.43/38.87 { X = n( proj1N( X ) ), opt( y( X, Y ) ) = fail3( X, Y ) }.
% 38.43/38.87 { opt( y( n( s( Y ) ), X ) ) = fail3( n( s( Y ) ), X ) }.
% 38.43/38.87 { opt( y( n( z ), X ) ) = n( z ) }.
% 38.43/38.87 { ! opt( d( X ) ) = x( y( x2, y( x2, x2 ) ), y( x2, x( y( x2, x2 ), y( x2,
% 38.43/38.87 x( x2, x2 ) ) ) ) ) }.
% 38.43/38.87
% 38.43/38.87 percentage equality = 1.000000, percentage horn = 0.759259
% 38.43/38.87 This is a pure equality problem
% 38.43/38.87
% 38.43/38.87
% 38.43/38.87
% 38.43/38.87 Options Used:
% 38.43/38.87
% 38.43/38.87 useres = 1
% 38.43/38.87 useparamod = 1
% 38.43/38.87 useeqrefl = 1
% 38.43/38.87 useeqfact = 1
% 38.43/38.87 usefactor = 1
% 38.43/38.87 usesimpsplitting = 0
% 38.43/38.87 usesimpdemod = 5
% 38.43/38.87 usesimpres = 3
% 38.43/38.87
% 38.43/38.87 resimpinuse = 1000
% 38.43/38.87 resimpclauses = 20000
% 38.43/38.87 substype = eqrewr
% 38.43/38.87 backwardsubs = 1
% 38.43/38.87 selectoldest = 5
% 38.43/38.87
% 38.43/38.87 litorderings [0] = split
% 38.43/38.87 litorderings [1] = extend the termordering, first sorting on arguments
% 38.43/38.87
% 38.43/38.87 termordering = kbo
% 38.43/38.87
% 38.43/38.87 litapriori = 0
% 38.43/38.87 termapriori = 1
% 38.43/38.87 litaposteriori = 0
% 38.43/38.87 termaposteriori = 0
% 38.43/38.87 demodaposteriori = 0
% 38.43/38.87 ordereqreflfact = 0
% 38.43/38.87
% 38.43/38.87 litselect = negord
% 38.43/38.87
% 38.43/38.87 maxweight = 15
% 38.43/38.87 maxdepth = 30000
% 38.43/38.87 maxlength = 115
% 38.43/38.87 maxnrvars = 195
% 38.43/38.87 excuselevel = 1
% 38.43/38.87 increasemaxweight = 1
% 38.43/38.87
% 38.43/38.87 maxselected = 10000000
% 38.43/38.87 maxnrclauses = 10000000
% 38.43/38.87
% 38.43/38.87 showgenerated = 0
% 38.43/38.87 showkept = 0
% 38.43/38.87 showselected = 0
% 38.43/38.87 showdeleted = 0
% 38.43/38.87 showresimp = 1
% 38.43/38.87 showstatus = 2000
% 38.43/38.87
% 38.43/38.87 prologoutput = 0
% 38.43/38.87 nrgoals = 5000000
% 38.43/38.87 totalproof = 1
% 38.43/38.87
% 38.43/38.87 Symbols occurring in the translation:
% 38.43/38.87
% 38.43/38.87 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 38.43/38.87 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 38.43/38.87 ! [4, 1] (w:0, o:33, a:1, s:1, b:0),
% 38.43/38.87 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 38.43/38.87 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 38.43/38.87 s [36, 1] (w:1, o:38, a:1, s:1, b:0),
% 255.30/255.73 proj1S [37, 1] (w:1, o:40, a:1, s:1, b:0),
% 255.30/255.73 z [38, 0] (w:1, o:7, a:1, s:1, b:0),
% 255.30/255.73 n [39, 1] (w:1, o:41, a:1, s:1, b:0),
% 255.30/255.73 proj1N [40, 1] (w:1, o:42, a:1, s:1, b:0),
% 255.30/255.73 x [42, 2] (w:1, o:72, a:1, s:1, b:0),
% 255.30/255.73 proj1 [43, 1] (w:1, o:43, a:1, s:1, b:0),
% 255.30/255.73 proj2 [44, 1] (w:1, o:45, a:1, s:1, b:0),
% 255.30/255.73 y [45, 2] (w:1, o:73, a:1, s:1, b:0),
% 255.30/255.73 proj12 [46, 1] (w:1, o:44, a:1, s:1, b:0),
% 255.30/255.73 proj22 [47, 1] (w:1, o:46, a:1, s:1, b:0),
% 255.30/255.73 x2 [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 255.30/255.73 fail2 [53, 2] (w:1, o:76, a:1, s:1, b:0),
% 255.30/255.73 opt [54, 1] (w:1, o:39, a:1, s:1, b:0),
% 255.30/255.73 fail1 [57, 2] (w:1, o:74, a:1, s:1, b:0),
% 255.30/255.73 addNat [60, 2] (w:1, o:77, a:1, s:1, b:0),
% 255.30/255.73 fail [61, 2] (w:1, o:78, a:1, s:1, b:0),
% 255.30/255.73 fail4 [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 255.30/255.73 fail32 [65, 2] (w:1, o:80, a:1, s:1, b:0),
% 255.30/255.73 mulNat [68, 2] (w:1, o:83, a:1, s:1, b:0),
% 255.30/255.73 fail22 [71, 2] (w:1, o:79, a:1, s:1, b:0),
% 255.30/255.73 fail12 [73, 2] (w:1, o:75, a:1, s:1, b:0),
% 255.30/255.73 fail3 [75, 2] (w:1, o:81, a:1, s:1, b:0),
% 255.30/255.73 d [77, 1] (w:1, o:47, a:1, s:1, b:0).
% 255.30/255.73
% 255.30/255.73
% 255.30/255.73 Starting Search:
% 255.30/255.73
% 255.30/255.73 *** allocated 15000 integers for clauses
% 255.30/255.73 *** allocated 22500 integers for clauses
% 255.30/255.73 *** allocated 33750 integers for clauses
% 255.30/255.73 *** allocated 50625 integers for clauses
% 255.30/255.73 *** allocated 15000 integers for termspace/termends
% 255.30/255.73 *** allocated 75937 integers for clauses
% 255.30/255.73 *** allocated 22500 integers for termspace/termends
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 *** allocated 113905 integers for clauses
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 *** allocated 33750 integers for termspace/termends
% 255.30/255.73 *** allocated 170857 integers for clauses
% 255.30/255.73
% 255.30/255.73 Intermediate Status:
% 255.30/255.73 Generated: 74746
% 255.30/255.73 Kept: 2062
% 255.30/255.73 Inuse: 408
% 255.30/255.73 Deleted: 57
% 255.30/255.73 Deletedinuse: 19
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 *** allocated 50625 integers for termspace/termends
% 255.30/255.73 *** allocated 256285 integers for clauses
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 *** allocated 75937 integers for termspace/termends
% 255.30/255.73
% 255.30/255.73 Intermediate Status:
% 255.30/255.73 Generated: 157394
% 255.30/255.73 Kept: 4179
% 255.30/255.73 Inuse: 559
% 255.30/255.73 Deleted: 108
% 255.30/255.73 Deletedinuse: 47
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 *** allocated 384427 integers for clauses
% 255.30/255.73 *** allocated 113905 integers for termspace/termends
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73
% 255.30/255.73 Intermediate Status:
% 255.30/255.73 Generated: 178876
% 255.30/255.73 Kept: 6757
% 255.30/255.73 Inuse: 602
% 255.30/255.73 Deleted: 136
% 255.30/255.73 Deletedinuse: 65
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 *** allocated 576640 integers for clauses
% 255.30/255.73 *** allocated 170857 integers for termspace/termends
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73
% 255.30/255.73 Intermediate Status:
% 255.30/255.73 Generated: 249821
% 255.30/255.73 Kept: 8763
% 255.30/255.73 Inuse: 728
% 255.30/255.73 Deleted: 180
% 255.30/255.73 Deletedinuse: 69
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 *** allocated 864960 integers for clauses
% 255.30/255.73
% 255.30/255.73 Intermediate Status:
% 255.30/255.73 Generated: 282059
% 255.30/255.73 Kept: 10866
% 255.30/255.73 Inuse: 797
% 255.30/255.73 Deleted: 211
% 255.30/255.73 Deletedinuse: 75
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 *** allocated 256285 integers for termspace/termends
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73
% 255.30/255.73 Intermediate Status:
% 255.30/255.73 Generated: 356395
% 255.30/255.73 Kept: 12921
% 255.30/255.73 Inuse: 884
% 255.30/255.73 Deleted: 230
% 255.30/255.73 Deletedinuse: 88
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73
% 255.30/255.73 Intermediate Status:
% 255.30/255.73 Generated: 432009
% 255.30/255.73 Kept: 14928
% 255.30/255.73 Inuse: 974
% 255.30/255.73 Deleted: 272
% 255.30/255.73 Deletedinuse: 101
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 *** allocated 1297440 integers for clauses
% 255.30/255.73 *** allocated 384427 integers for termspace/termends
% 255.30/255.73
% 255.30/255.73 Intermediate Status:
% 255.30/255.73 Generated: 485296
% 255.30/255.73 Kept: 16931
% 255.30/255.73 Inuse: 1072
% 255.30/255.73 Deleted: 306
% 255.30/255.73 Deletedinuse: 124
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73
% 255.30/255.73 Intermediate Status:
% 255.30/255.73 Generated: 576637
% 255.30/255.73 Kept: 18949
% 255.30/255.73 Inuse: 1193
% 255.30/255.73 Deleted: 321
% 255.30/255.73 Deletedinuse: 125
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 Resimplifying clauses:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73
% 255.30/255.73 Intermediate Status:
% 255.30/255.73 Generated: 638964
% 255.30/255.73 Kept: 20968
% 255.30/255.73 Inuse: 1301
% 255.30/255.73 Deleted: 2094
% 255.30/255.73 Deletedinuse: 138
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73
% 255.30/255.73 Intermediate Status:
% 255.30/255.73 Generated: 739053
% 255.30/255.73 Kept: 22994
% 255.30/255.73 Inuse: 1391
% 255.30/255.73 Deleted: 2101
% 255.30/255.73 Deletedinuse: 139
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 Resimplifying inuse:
% 255.30/255.73 Done
% 255.30/255.73
% 255.30/255.73 *** allocated 1946160Terminated
% 299.50/300.03 Bliksem ended
%------------------------------------------------------------------------------