%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWX192+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 299.65s 300.02s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX192+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.16/0.34 % Computer : n010.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 10:08:06 EDT 2026
% 0.16/0.34 % CPUTime :
% 37.83/38.28 *** allocated 10000 integers for termspace/termends
% 37.83/38.28 *** allocated 10000 integers for clauses
% 37.83/38.28 *** allocated 10000 integers for justifications
% 37.83/38.28 Bliksem 1.12
% 37.83/38.28
% 37.83/38.28
% 37.83/38.28 Automatic Strategy Selection
% 37.83/38.28
% 37.83/38.28
% 37.83/38.28 Clauses:
% 37.83/38.28
% 37.83/38.28 { proj1S( s( X ) ) = X }.
% 37.83/38.28 { ! s( X ) = z }.
% 37.83/38.28 { proj1N( n( X ) ) = X }.
% 37.83/38.28 { proj1( x( X, Y ) ) = X }.
% 37.83/38.28 { proj2( x( X, Y ) ) = Y }.
% 37.83/38.28 { proj12( y( X, Y ) ) = X }.
% 37.83/38.28 { proj22( y( X, Y ) ) = Y }.
% 37.83/38.28 { ! n( X ) = x( Y, Z ) }.
% 37.83/38.28 { ! n( X ) = y( Y, Z ) }.
% 37.83/38.28 { ! n( X ) = x2 }.
% 37.83/38.28 { ! x( X, Y ) = y( Z, T ) }.
% 37.83/38.28 { ! x( X, Y ) = x2 }.
% 37.83/38.28 { ! y( X, Y ) = x2 }.
% 37.83/38.28 { ! X = Y, fail2( X, Y ) = y( n( s( s( z ) ) ), opt( X ) ) }.
% 37.83/38.28 { X = Y, X = x( proj1( X ), proj2( X ) ), fail2( X, Y ) = x( opt( X ), opt
% 37.83/38.28 ( Y ) ) }.
% 37.83/38.28 { x( Y, Z ) = X, fail2( x( Y, Z ), X ) = opt( x( Y, x( Z, X ) ) ) }.
% 37.83/38.28 { X = n( proj1N( X ) ), fail1( X, Y ) = fail2( X, Y ) }.
% 37.83/38.28 { X = n( proj1N( X ) ), fail1( n( Y ), X ) = fail2( n( Y ), X ) }.
% 37.83/38.28 { fail1( n( X ), n( Y ) ) = n( addNat( X, Y ) ) }.
% 37.83/38.28 { X = n( proj1N( X ) ), fail( Y, X ) = fail1( Y, X ) }.
% 37.83/38.28 { fail( X, n( s( Y ) ) ) = fail1( X, n( s( Y ) ) ) }.
% 37.83/38.28 { fail( X, n( z ) ) = X }.
% 37.83/38.28 { fail4( X, Y ) = y( opt( X ), opt( Y ) ) }.
% 37.83/38.28 { X = n( proj1N( X ) ), X = y( proj12( X ), proj22( X ) ), fail32( X, Y ) =
% 37.83/38.28 fail4( X, Y ) }.
% 37.83/38.28 { X = n( proj1N( X ) ), fail32( n( Y ), X ) = fail4( n( Y ), X ) }.
% 37.83/38.28 { fail32( n( X ), n( Y ) ) = n( mulNat( X, Y ) ) }.
% 37.83/38.28 { fail32( y( Y, Z ), X ) = opt( y( Y, y( Z, X ) ) ) }.
% 37.83/38.28 { X = n( proj1N( X ) ), fail22( Y, X ) = fail32( Y, X ) }.
% 37.83/38.28 { fail22( X, n( s( s( Y ) ) ) ) = fail32( X, n( s( s( Y ) ) ) ) }.
% 37.83/38.28 { fail22( X, n( s( z ) ) ) = X }.
% 37.83/38.28 { fail22( X, n( z ) ) = fail32( X, n( z ) ) }.
% 37.83/38.28 { X = n( proj1N( X ) ), fail12( X, Y ) = fail22( X, Y ) }.
% 37.83/38.28 { fail12( n( s( s( Y ) ) ), X ) = fail22( n( s( s( Y ) ) ), X ) }.
% 37.83/38.28 { fail12( n( s( z ) ), X ) = X }.
% 37.83/38.28 { fail12( n( z ), X ) = fail22( n( z ), X ) }.
% 37.83/38.28 { X = n( proj1N( X ) ), fail3( Y, X ) = fail12( Y, X ) }.
% 37.83/38.28 { fail3( X, n( s( Y ) ) ) = fail12( X, n( s( Y ) ) ) }.
% 37.83/38.28 { fail3( X, n( z ) ) = n( z ) }.
% 37.83/38.28 { d( n( X ) ) = n( z ) }.
% 37.83/38.28 { d( x( X, Y ) ) = x( d( X ), d( Y ) ) }.
% 37.83/38.28 { d( y( X, Y ) ) = x( y( d( X ), Y ), y( X, d( Y ) ) ) }.
% 37.83/38.28 { d( x2 ) = n( s( z ) ) }.
% 37.83/38.28 { addNat( s( Y ), X ) = s( addNat( Y, X ) ) }.
% 37.83/38.28 { addNat( z, X ) = X }.
% 37.83/38.28 { mulNat( s( Y ), X ) = addNat( X, mulNat( Y, X ) ) }.
% 37.83/38.28 { mulNat( z, X ) = z }.
% 37.83/38.28 { X = x( proj1( X ), proj2( X ) ), X = y( proj12( X ), proj22( X ) ), opt(
% 37.83/38.28 X ) = X }.
% 37.83/38.28 { X = n( proj1N( X ) ), opt( x( X, Y ) ) = fail( X, Y ) }.
% 37.83/38.28 { opt( x( n( s( Y ) ), X ) ) = fail( n( s( Y ) ), X ) }.
% 37.83/38.28 { opt( x( n( z ), X ) ) = X }.
% 37.83/38.28 { X = n( proj1N( X ) ), opt( y( X, Y ) ) = fail3( X, Y ) }.
% 37.83/38.28 { opt( y( n( s( Y ) ), X ) ) = fail3( n( s( Y ) ), X ) }.
% 37.83/38.28 { opt( y( n( z ), X ) ) = n( z ) }.
% 37.83/38.28 { ! opt( d( X ) ) = x( y( x2, y( x2, y( x2, x2 ) ) ), y( x2, x( y( x2, y(
% 37.83/38.28 x2, x2 ) ), y( x2, x( y( x2, x2 ), y( x2, x( x2, x2 ) ) ) ) ) ) ) }.
% 37.83/38.28
% 37.83/38.28 percentage equality = 1.000000, percentage horn = 0.759259
% 37.83/38.28 This is a pure equality problem
% 37.83/38.28
% 37.83/38.28
% 37.83/38.28
% 37.83/38.28 Options Used:
% 37.83/38.28
% 37.83/38.28 useres = 1
% 37.83/38.28 useparamod = 1
% 37.83/38.28 useeqrefl = 1
% 37.83/38.28 useeqfact = 1
% 37.83/38.28 usefactor = 1
% 37.83/38.28 usesimpsplitting = 0
% 37.83/38.28 usesimpdemod = 5
% 37.83/38.28 usesimpres = 3
% 37.83/38.28
% 37.83/38.28 resimpinuse = 1000
% 37.83/38.28 resimpclauses = 20000
% 37.83/38.28 substype = eqrewr
% 37.83/38.28 backwardsubs = 1
% 37.83/38.28 selectoldest = 5
% 37.83/38.28
% 37.83/38.28 litorderings [0] = split
% 37.83/38.28 litorderings [1] = extend the termordering, first sorting on arguments
% 37.83/38.28
% 37.83/38.28 termordering = kbo
% 37.83/38.28
% 37.83/38.28 litapriori = 0
% 37.83/38.28 termapriori = 1
% 37.83/38.28 litaposteriori = 0
% 37.83/38.28 termaposteriori = 0
% 37.83/38.28 demodaposteriori = 0
% 37.83/38.28 ordereqreflfact = 0
% 37.83/38.28
% 37.83/38.28 litselect = negord
% 37.83/38.28
% 37.83/38.28 maxweight = 15
% 37.83/38.28 maxdepth = 30000
% 37.83/38.28 maxlength = 115
% 37.83/38.28 maxnrvars = 195
% 37.83/38.28 excuselevel = 1
% 37.83/38.28 increasemaxweight = 1
% 37.83/38.28
% 37.83/38.28 maxselected = 10000000
% 37.83/38.28 maxnrclauses = 10000000
% 37.83/38.28
% 37.83/38.28 showgenerated = 0
% 37.83/38.28 showkept = 0
% 37.83/38.28 showselected = 0
% 37.83/38.28 showdeleted = 0
% 37.83/38.28 showresimp = 1
% 37.83/38.28 showstatus = 2000
% 37.83/38.28
% 37.83/38.28 prologoutput = 0
% 37.83/38.28 nrgoals = 5000000
% 37.83/38.28 totalproof = 1
% 37.83/38.28
% 37.83/38.28 Symbols occurring in the translation:
% 37.83/38.28
% 37.83/38.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 37.83/38.28 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 37.83/38.28 ! [4, 1] (w:0, o:33, a:1, s:1, b:0),
% 37.83/38.28 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 37.83/38.28 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 277.84/278.29 s [36, 1] (w:1, o:38, a:1, s:1, b:0),
% 277.84/278.29 proj1S [37, 1] (w:1, o:40, a:1, s:1, b:0),
% 277.84/278.29 z [38, 0] (w:1, o:7, a:1, s:1, b:0),
% 277.84/278.29 n [39, 1] (w:1, o:41, a:1, s:1, b:0),
% 277.84/278.29 proj1N [40, 1] (w:1, o:42, a:1, s:1, b:0),
% 277.84/278.29 x [42, 2] (w:1, o:72, a:1, s:1, b:0),
% 277.84/278.29 proj1 [43, 1] (w:1, o:43, a:1, s:1, b:0),
% 277.84/278.29 proj2 [44, 1] (w:1, o:45, a:1, s:1, b:0),
% 277.84/278.29 y [45, 2] (w:1, o:73, a:1, s:1, b:0),
% 277.84/278.29 proj12 [46, 1] (w:1, o:44, a:1, s:1, b:0),
% 277.84/278.29 proj22 [47, 1] (w:1, o:46, a:1, s:1, b:0),
% 277.84/278.29 x2 [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 277.84/278.29 fail2 [53, 2] (w:1, o:76, a:1, s:1, b:0),
% 277.84/278.29 opt [54, 1] (w:1, o:39, a:1, s:1, b:0),
% 277.84/278.29 fail1 [57, 2] (w:1, o:74, a:1, s:1, b:0),
% 277.84/278.29 addNat [60, 2] (w:1, o:77, a:1, s:1, b:0),
% 277.84/278.29 fail [61, 2] (w:1, o:78, a:1, s:1, b:0),
% 277.84/278.29 fail4 [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 277.84/278.29 fail32 [65, 2] (w:1, o:80, a:1, s:1, b:0),
% 277.84/278.29 mulNat [68, 2] (w:1, o:83, a:1, s:1, b:0),
% 277.84/278.29 fail22 [71, 2] (w:1, o:79, a:1, s:1, b:0),
% 277.84/278.29 fail12 [73, 2] (w:1, o:75, a:1, s:1, b:0),
% 277.84/278.29 fail3 [75, 2] (w:1, o:81, a:1, s:1, b:0),
% 277.84/278.29 d [77, 1] (w:1, o:47, a:1, s:1, b:0).
% 277.84/278.29
% 277.84/278.29
% 277.84/278.29 Starting Search:
% 277.84/278.29
% 277.84/278.29 *** allocated 15000 integers for clauses
% 277.84/278.29 *** allocated 22500 integers for clauses
% 277.84/278.29 *** allocated 33750 integers for clauses
% 277.84/278.29 *** allocated 50625 integers for clauses
% 277.84/278.29 *** allocated 15000 integers for termspace/termends
% 277.84/278.29 *** allocated 75937 integers for clauses
% 277.84/278.29 *** allocated 22500 integers for termspace/termends
% 277.84/278.29 *** allocated 113905 integers for clauses
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 *** allocated 33750 integers for termspace/termends
% 277.84/278.29 *** allocated 170857 integers for clauses
% 277.84/278.29
% 277.84/278.29 Intermediate Status:
% 277.84/278.29 Generated: 75067
% 277.84/278.29 Kept: 2062
% 277.84/278.29 Inuse: 408
% 277.84/278.29 Deleted: 57
% 277.84/278.29 Deletedinuse: 19
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 *** allocated 50625 integers for termspace/termends
% 277.84/278.29 *** allocated 256285 integers for clauses
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 *** allocated 75937 integers for termspace/termends
% 277.84/278.29
% 277.84/278.29 Intermediate Status:
% 277.84/278.29 Generated: 157920
% 277.84/278.29 Kept: 4179
% 277.84/278.29 Inuse: 559
% 277.84/278.29 Deleted: 108
% 277.84/278.29 Deletedinuse: 47
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 *** allocated 384427 integers for clauses
% 277.84/278.29 *** allocated 113905 integers for termspace/termends
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29
% 277.84/278.29 Intermediate Status:
% 277.84/278.29 Generated: 179452
% 277.84/278.29 Kept: 6757
% 277.84/278.29 Inuse: 602
% 277.84/278.29 Deleted: 136
% 277.84/278.29 Deletedinuse: 65
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 *** allocated 576640 integers for clauses
% 277.84/278.29 *** allocated 170857 integers for termspace/termends
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29
% 277.84/278.29 Intermediate Status:
% 277.84/278.29 Generated: 250507
% 277.84/278.29 Kept: 8763
% 277.84/278.29 Inuse: 728
% 277.84/278.29 Deleted: 180
% 277.84/278.29 Deletedinuse: 69
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 *** allocated 864960 integers for clauses
% 277.84/278.29
% 277.84/278.29 Intermediate Status:
% 277.84/278.29 Generated: 282765
% 277.84/278.29 Kept: 10866
% 277.84/278.29 Inuse: 797
% 277.84/278.29 Deleted: 211
% 277.84/278.29 Deletedinuse: 75
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 *** allocated 256285 integers for termspace/termends
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29
% 277.84/278.29 Intermediate Status:
% 277.84/278.29 Generated: 357181
% 277.84/278.29 Kept: 12921
% 277.84/278.29 Inuse: 884
% 277.84/278.29 Deleted: 230
% 277.84/278.29 Deletedinuse: 88
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29
% 277.84/278.29 Intermediate Status:
% 277.84/278.29 Generated: 432870
% 277.84/278.29 Kept: 14928
% 277.84/278.29 Inuse: 974
% 277.84/278.29 Deleted: 272
% 277.84/278.29 Deletedinuse: 101
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 *** allocated 1297440 integers for clauses
% 277.84/278.29 *** allocated 384427 integers for termspace/termends
% 277.84/278.29
% 277.84/278.29 Intermediate Status:
% 277.84/278.29 Generated: 486157
% 277.84/278.29 Kept: 16931
% 277.84/278.29 Inuse: 1072
% 277.84/278.29 Deleted: 306
% 277.84/278.29 Deletedinuse: 124
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29
% 277.84/278.29 Intermediate Status:
% 277.84/278.29 Generated: 577558
% 277.84/278.29 Kept: 18949
% 277.84/278.29 Inuse: 1193
% 277.84/278.29 Deleted: 321
% 277.84/278.29 Deletedinuse: 125
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 Resimplifying clauses:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29
% 277.84/278.29 Intermediate Status:
% 277.84/278.29 Generated: 639885
% 277.84/278.29 Kept: 20968
% 277.84/278.29 Inuse: 1301
% 277.84/278.29 Deleted: 2094
% 277.84/278.29 Deletedinuse: 138
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29
% 277.84/278.29 Intermediate Status:
% 277.84/278.29 Generated: 740034
% 277.84/278.29 Kept: 22994
% 277.84/278.29 Inuse: 1391
% 277.84/278.29 Deleted: 2101
% 277.84/278.29 Deletedinuse: 139
% 277.84/278.29
% 277.84/278.29 Resimplifying inuse:
% 277.84/278.29 Done
% 277.84/278.29
% 277.84/278.29 ResTerminated
% 299.65/300.02 Bliksem ended
%------------------------------------------------------------------------------