%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWX188+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 06:56:45 PM UTC 2026
% Result : Timeout 292.42s 292.86s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWX188+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.06 % Command : bliksem %s
% 0.07/0.24 % Computer : n024.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % DateTime : Tue May 5 04:43:11 EDT 2026
% 0.07/0.24 % CPUTime :
% 44.91/45.36 *** allocated 10000 integers for termspace/termends
% 44.91/45.36 *** allocated 10000 integers for clauses
% 44.91/45.36 *** allocated 10000 integers for justifications
% 44.91/45.36 Bliksem 1.12
% 44.91/45.36
% 44.91/45.36
% 44.91/45.36 Automatic Strategy Selection
% 44.91/45.36
% 44.91/45.36
% 44.91/45.36 Clauses:
% 44.91/45.36
% 44.91/45.36 { proj1S( s( X ) ) = X }.
% 44.91/45.36 { ! s( X ) = z }.
% 44.91/45.36 { proj1N( n( X ) ) = X }.
% 44.91/45.36 { proj1( x( X, Y ) ) = X }.
% 44.91/45.36 { proj2( x( X, Y ) ) = Y }.
% 44.91/45.36 { proj12( y( X, Y ) ) = X }.
% 44.91/45.36 { proj22( y( X, Y ) ) = Y }.
% 44.91/45.36 { ! n( X ) = x( Y, Z ) }.
% 44.91/45.36 { ! n( X ) = y( Y, Z ) }.
% 44.91/45.36 { ! n( X ) = x2 }.
% 44.91/45.36 { ! x( X, Y ) = y( Z, T ) }.
% 44.91/45.36 { ! x( X, Y ) = x2 }.
% 44.91/45.36 { ! y( X, Y ) = x2 }.
% 44.91/45.36 { ! X = Y, fail2( X, Y ) = y( n( s( s( z ) ) ), opt( X ) ) }.
% 44.91/45.36 { X = Y, X = x( proj1( X ), proj2( X ) ), fail2( X, Y ) = x( opt( X ), opt
% 44.91/45.36 ( Y ) ) }.
% 44.91/45.36 { x( Y, Z ) = X, fail2( x( Y, Z ), X ) = opt( x( Y, x( Z, X ) ) ) }.
% 44.91/45.36 { X = n( proj1N( X ) ), fail1( X, Y ) = fail2( X, Y ) }.
% 44.91/45.36 { X = n( proj1N( X ) ), fail1( n( Y ), X ) = fail2( n( Y ), X ) }.
% 44.91/45.36 { fail1( n( X ), n( Y ) ) = n( addNat( X, Y ) ) }.
% 44.91/45.36 { X = n( proj1N( X ) ), fail( Y, X ) = fail1( Y, X ) }.
% 44.91/45.36 { fail( X, n( s( Y ) ) ) = fail1( X, n( s( Y ) ) ) }.
% 44.91/45.36 { fail( X, n( z ) ) = X }.
% 44.91/45.36 { fail4( X, Y ) = y( opt( X ), opt( Y ) ) }.
% 44.91/45.36 { X = n( proj1N( X ) ), X = y( proj12( X ), proj22( X ) ), fail32( X, Y ) =
% 44.91/45.36 fail4( X, Y ) }.
% 44.91/45.36 { X = n( proj1N( X ) ), fail32( n( Y ), X ) = fail4( n( Y ), X ) }.
% 44.91/45.36 { fail32( n( X ), n( Y ) ) = n( mulNat( X, Y ) ) }.
% 44.91/45.36 { fail32( y( Y, Z ), X ) = opt( y( Y, y( Z, X ) ) ) }.
% 44.91/45.36 { X = n( proj1N( X ) ), fail22( Y, X ) = fail32( Y, X ) }.
% 44.91/45.36 { fail22( X, n( s( s( Y ) ) ) ) = fail32( X, n( s( s( Y ) ) ) ) }.
% 44.91/45.36 { fail22( X, n( s( z ) ) ) = X }.
% 44.91/45.36 { fail22( X, n( z ) ) = fail32( X, n( z ) ) }.
% 44.91/45.36 { X = n( proj1N( X ) ), fail12( X, Y ) = fail22( X, Y ) }.
% 44.91/45.36 { fail12( n( s( s( Y ) ) ), X ) = fail22( n( s( s( Y ) ) ), X ) }.
% 44.91/45.36 { fail12( n( s( z ) ), X ) = X }.
% 44.91/45.36 { fail12( n( z ), X ) = fail22( n( z ), X ) }.
% 44.91/45.36 { X = n( proj1N( X ) ), fail3( Y, X ) = fail12( Y, X ) }.
% 44.91/45.36 { fail3( X, n( s( Y ) ) ) = fail12( X, n( s( Y ) ) ) }.
% 44.91/45.36 { fail3( X, n( z ) ) = n( z ) }.
% 44.91/45.36 { d( n( X ) ) = n( z ) }.
% 44.91/45.36 { d( x( X, Y ) ) = x( d( X ), d( Y ) ) }.
% 44.91/45.36 { d( y( X, Y ) ) = x( y( d( X ), Y ), y( X, d( Y ) ) ) }.
% 44.91/45.36 { d( x2 ) = n( s( z ) ) }.
% 44.91/45.36 { addNat( s( Y ), X ) = s( addNat( Y, X ) ) }.
% 44.91/45.36 { addNat( z, X ) = X }.
% 44.91/45.36 { mulNat( s( Y ), X ) = addNat( X, mulNat( Y, X ) ) }.
% 44.91/45.36 { mulNat( z, X ) = z }.
% 44.91/45.36 { X = x( proj1( X ), proj2( X ) ), X = y( proj12( X ), proj22( X ) ), opt(
% 44.91/45.36 X ) = X }.
% 44.91/45.36 { X = n( proj1N( X ) ), opt( x( X, Y ) ) = fail( X, Y ) }.
% 44.91/45.36 { opt( x( n( s( Y ) ), X ) ) = fail( n( s( Y ) ), X ) }.
% 44.91/45.36 { opt( x( n( z ), X ) ) = X }.
% 44.91/45.36 { X = n( proj1N( X ) ), opt( y( X, Y ) ) = fail3( X, Y ) }.
% 44.91/45.36 { opt( y( n( s( Y ) ), X ) ) = fail3( n( s( Y ) ), X ) }.
% 44.91/45.36 { opt( y( n( z ), X ) ) = n( z ) }.
% 44.91/45.36 { ! opt( d( X ) ) = opt( x( n( s( s( z ) ) ), x( x2, x2 ) ) ) }.
% 44.91/45.36
% 44.91/45.36 percentage equality = 1.000000, percentage horn = 0.759259
% 44.91/45.36 This is a pure equality problem
% 44.91/45.36
% 44.91/45.36
% 44.91/45.36
% 44.91/45.36 Options Used:
% 44.91/45.36
% 44.91/45.36 useres = 1
% 44.91/45.36 useparamod = 1
% 44.91/45.36 useeqrefl = 1
% 44.91/45.36 useeqfact = 1
% 44.91/45.36 usefactor = 1
% 44.91/45.36 usesimpsplitting = 0
% 44.91/45.36 usesimpdemod = 5
% 44.91/45.36 usesimpres = 3
% 44.91/45.36
% 44.91/45.36 resimpinuse = 1000
% 44.91/45.36 resimpclauses = 20000
% 44.91/45.36 substype = eqrewr
% 44.91/45.36 backwardsubs = 1
% 44.91/45.36 selectoldest = 5
% 44.91/45.36
% 44.91/45.36 litorderings [0] = split
% 44.91/45.36 litorderings [1] = extend the termordering, first sorting on arguments
% 44.91/45.36
% 44.91/45.36 termordering = kbo
% 44.91/45.36
% 44.91/45.36 litapriori = 0
% 44.91/45.36 termapriori = 1
% 44.91/45.36 litaposteriori = 0
% 44.91/45.36 termaposteriori = 0
% 44.91/45.36 demodaposteriori = 0
% 44.91/45.36 ordereqreflfact = 0
% 44.91/45.36
% 44.91/45.36 litselect = negord
% 44.91/45.36
% 44.91/45.36 maxweight = 15
% 44.91/45.36 maxdepth = 30000
% 44.91/45.36 maxlength = 115
% 44.91/45.36 maxnrvars = 195
% 44.91/45.36 excuselevel = 1
% 44.91/45.36 increasemaxweight = 1
% 44.91/45.36
% 44.91/45.36 maxselected = 10000000
% 44.91/45.36 maxnrclauses = 10000000
% 44.91/45.36
% 44.91/45.36 showgenerated = 0
% 44.91/45.36 showkept = 0
% 44.91/45.36 showselected = 0
% 44.91/45.36 showdeleted = 0
% 44.91/45.36 showresimp = 1
% 44.91/45.36 showstatus = 2000
% 44.91/45.36
% 44.91/45.36 prologoutput = 0
% 44.91/45.36 nrgoals = 5000000
% 44.91/45.36 totalproof = 1
% 44.91/45.36
% 44.91/45.36 Symbols occurring in the translation:
% 44.91/45.36
% 44.91/45.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 44.91/45.36 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 44.91/45.36 ! [4, 1] (w:0, o:33, a:1, s:1, b:0),
% 44.91/45.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 44.91/45.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 44.91/45.36 s [36, 1] (w:1, o:38, a:1, s:1, b:0),
% 44.91/45.36 proj1S [37, 1] (w:1, o:40, a:1, s:1, b:0),
% 292.42/292.86 z [38, 0] (w:1, o:7, a:1, s:1, b:0),
% 292.42/292.86 n [39, 1] (w:1, o:41, a:1, s:1, b:0),
% 292.42/292.86 proj1N [40, 1] (w:1, o:42, a:1, s:1, b:0),
% 292.42/292.86 x [42, 2] (w:1, o:72, a:1, s:1, b:0),
% 292.42/292.86 proj1 [43, 1] (w:1, o:43, a:1, s:1, b:0),
% 292.42/292.86 proj2 [44, 1] (w:1, o:45, a:1, s:1, b:0),
% 292.42/292.86 y [45, 2] (w:1, o:73, a:1, s:1, b:0),
% 292.42/292.86 proj12 [46, 1] (w:1, o:44, a:1, s:1, b:0),
% 292.42/292.86 proj22 [47, 1] (w:1, o:46, a:1, s:1, b:0),
% 292.42/292.86 x2 [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 292.42/292.86 fail2 [53, 2] (w:1, o:76, a:1, s:1, b:0),
% 292.42/292.86 opt [54, 1] (w:1, o:39, a:1, s:1, b:0),
% 292.42/292.86 fail1 [57, 2] (w:1, o:74, a:1, s:1, b:0),
% 292.42/292.86 addNat [60, 2] (w:1, o:77, a:1, s:1, b:0),
% 292.42/292.86 fail [61, 2] (w:1, o:78, a:1, s:1, b:0),
% 292.42/292.86 fail4 [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 292.42/292.86 fail32 [65, 2] (w:1, o:80, a:1, s:1, b:0),
% 292.42/292.86 mulNat [68, 2] (w:1, o:83, a:1, s:1, b:0),
% 292.42/292.86 fail22 [71, 2] (w:1, o:79, a:1, s:1, b:0),
% 292.42/292.86 fail12 [73, 2] (w:1, o:75, a:1, s:1, b:0),
% 292.42/292.86 fail3 [75, 2] (w:1, o:81, a:1, s:1, b:0),
% 292.42/292.86 d [77, 1] (w:1, o:47, a:1, s:1, b:0).
% 292.42/292.86
% 292.42/292.86
% 292.42/292.86 Starting Search:
% 292.42/292.86
% 292.42/292.86 *** allocated 15000 integers for clauses
% 292.42/292.86 *** allocated 22500 integers for clauses
% 292.42/292.86 *** allocated 33750 integers for clauses
% 292.42/292.86 *** allocated 50625 integers for clauses
% 292.42/292.86 *** allocated 15000 integers for termspace/termends
% 292.42/292.86 *** allocated 75937 integers for clauses
% 292.42/292.86 *** allocated 22500 integers for termspace/termends
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 *** allocated 113905 integers for clauses
% 292.42/292.86 *** allocated 33750 integers for termspace/termends
% 292.42/292.86 *** allocated 170857 integers for clauses
% 292.42/292.86
% 292.42/292.86 Intermediate Status:
% 292.42/292.86 Generated: 74127
% 292.42/292.86 Kept: 2057
% 292.42/292.86 Inuse: 407
% 292.42/292.86 Deleted: 58
% 292.42/292.86 Deletedinuse: 19
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 *** allocated 50625 integers for termspace/termends
% 292.42/292.86 *** allocated 256285 integers for clauses
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 *** allocated 75937 integers for termspace/termends
% 292.42/292.86
% 292.42/292.86 Intermediate Status:
% 292.42/292.86 Generated: 156385
% 292.42/292.86 Kept: 4174
% 292.42/292.86 Inuse: 558
% 292.42/292.86 Deleted: 109
% 292.42/292.86 Deletedinuse: 47
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 *** allocated 384427 integers for clauses
% 292.42/292.86 *** allocated 113905 integers for termspace/termends
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86
% 292.42/292.86 Intermediate Status:
% 292.42/292.86 Generated: 177771
% 292.42/292.86 Kept: 6752
% 292.42/292.86 Inuse: 601
% 292.42/292.86 Deleted: 137
% 292.42/292.86 Deletedinuse: 65
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 *** allocated 576640 integers for clauses
% 292.42/292.86 *** allocated 170857 integers for termspace/termends
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86
% 292.42/292.86 Intermediate Status:
% 292.42/292.86 Generated: 248497
% 292.42/292.86 Kept: 8758
% 292.42/292.86 Inuse: 727
% 292.42/292.86 Deleted: 181
% 292.42/292.86 Deletedinuse: 69
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 *** allocated 864960 integers for clauses
% 292.42/292.86
% 292.42/292.86 Intermediate Status:
% 292.42/292.86 Generated: 280697
% 292.42/292.86 Kept: 10861
% 292.42/292.86 Inuse: 796
% 292.42/292.86 Deleted: 212
% 292.42/292.86 Deletedinuse: 75
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 *** allocated 256285 integers for termspace/termends
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86
% 292.42/292.86 Intermediate Status:
% 292.42/292.86 Generated: 354874
% 292.42/292.86 Kept: 12916
% 292.42/292.86 Inuse: 883
% 292.42/292.86 Deleted: 231
% 292.42/292.86 Deletedinuse: 88
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86
% 292.42/292.86 Intermediate Status:
% 292.42/292.86 Generated: 430339
% 292.42/292.86 Kept: 14923
% 292.42/292.86 Inuse: 973
% 292.42/292.86 Deleted: 273
% 292.42/292.86 Deletedinuse: 101
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 *** allocated 1297440 integers for clauses
% 292.42/292.86 *** allocated 384427 integers for termspace/termends
% 292.42/292.86
% 292.42/292.86 Intermediate Status:
% 292.42/292.86 Generated: 483625
% 292.42/292.86 Kept: 16926
% 292.42/292.86 Inuse: 1071
% 292.42/292.86 Deleted: 307
% 292.42/292.86 Deletedinuse: 124
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86
% 292.42/292.86 Intermediate Status:
% 292.42/292.86 Generated: 574849
% 292.42/292.86 Kept: 18944
% 292.42/292.86 Inuse: 1192
% 292.42/292.86 Deleted: 322
% 292.42/292.86 Deletedinuse: 125
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 Resimplifying clauses:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86
% 292.42/292.86 Intermediate Status:
% 292.42/292.86 Generated: 637176
% 292.42/292.86 Kept: 20963
% 292.42/292.86 Inuse: 1300
% 292.42/292.86 Deleted: 2095
% 292.42/292.86 Deletedinuse: 138
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86
% 292.42/292.86 Intermediate Status:
% 292.42/292.86 Generated: 737148
% 292.42/292.86 Kept: 22989
% 292.42/292.86 Inuse: 1390
% 292.42/292.86 Deleted: 2102
% 292.42/292.86 Deletedinuse: 139
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 Resimplifying inuse:
% 292.42/292.86 Done
% 292.42/292.86
% 292.42/292.86 *** allocated 1946160 integers for clauses
% 292.42/292.86
% 292.42/292.86 Intermediate Terminated
% 299.64/300.01 Bliksem ended
%------------------------------------------------------------------------------