%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWX193+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 299.67s 300.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX193+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.15/0.34 % Computer : n004.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % DateTime : Tue May 5 10:13:32 EDT 2026
% 0.15/0.34 % CPUTime :
% 34.64/35.08 *** allocated 10000 integers for termspace/termends
% 34.64/35.08 *** allocated 10000 integers for clauses
% 34.64/35.08 *** allocated 10000 integers for justifications
% 34.64/35.08 Bliksem 1.12
% 34.64/35.08
% 34.64/35.08
% 34.64/35.08 Automatic Strategy Selection
% 34.64/35.08
% 34.64/35.08
% 34.64/35.08 Clauses:
% 34.64/35.08
% 34.64/35.08 { proj1S( s( X ) ) = X }.
% 34.64/35.08 { ! s( X ) = z }.
% 34.64/35.08 { proj1N( n( X ) ) = X }.
% 34.64/35.08 { proj1( x( X, Y ) ) = X }.
% 34.64/35.08 { proj2( x( X, Y ) ) = Y }.
% 34.64/35.08 { proj12( y( X, Y ) ) = X }.
% 34.64/35.08 { proj22( y( X, Y ) ) = Y }.
% 34.64/35.08 { ! n( X ) = x( Y, Z ) }.
% 34.64/35.08 { ! n( X ) = y( Y, Z ) }.
% 34.64/35.08 { ! n( X ) = x2 }.
% 34.64/35.08 { ! x( X, Y ) = y( Z, T ) }.
% 34.64/35.08 { ! x( X, Y ) = x2 }.
% 34.64/35.08 { ! y( X, Y ) = x2 }.
% 34.64/35.08 { ! X = Y, fail2( X, Y ) = y( n( s( s( z ) ) ), opt( X ) ) }.
% 34.64/35.08 { X = Y, X = x( proj1( X ), proj2( X ) ), fail2( X, Y ) = x( opt( X ), opt
% 34.64/35.08 ( Y ) ) }.
% 34.64/35.08 { x( Y, Z ) = X, fail2( x( Y, Z ), X ) = opt( x( Y, x( Z, X ) ) ) }.
% 34.64/35.08 { X = n( proj1N( X ) ), fail1( X, Y ) = fail2( X, Y ) }.
% 34.64/35.08 { X = n( proj1N( X ) ), fail1( n( Y ), X ) = fail2( n( Y ), X ) }.
% 34.64/35.08 { fail1( n( X ), n( Y ) ) = n( addNat( X, Y ) ) }.
% 34.64/35.08 { X = n( proj1N( X ) ), fail( Y, X ) = fail1( Y, X ) }.
% 34.64/35.08 { fail( X, n( s( Y ) ) ) = fail1( X, n( s( Y ) ) ) }.
% 34.64/35.08 { fail( X, n( z ) ) = X }.
% 34.64/35.08 { fail4( X, Y ) = y( opt( X ), opt( Y ) ) }.
% 34.64/35.08 { X = n( proj1N( X ) ), X = y( proj12( X ), proj22( X ) ), fail32( X, Y ) =
% 34.64/35.08 fail4( X, Y ) }.
% 34.64/35.08 { X = n( proj1N( X ) ), fail32( n( Y ), X ) = fail4( n( Y ), X ) }.
% 34.64/35.08 { fail32( n( X ), n( Y ) ) = n( mulNat( X, Y ) ) }.
% 34.64/35.08 { fail32( y( Y, Z ), X ) = opt( y( Y, y( Z, X ) ) ) }.
% 34.64/35.08 { X = n( proj1N( X ) ), fail22( Y, X ) = fail32( Y, X ) }.
% 34.64/35.08 { fail22( X, n( s( s( Y ) ) ) ) = fail32( X, n( s( s( Y ) ) ) ) }.
% 34.64/35.08 { fail22( X, n( s( z ) ) ) = X }.
% 34.64/35.08 { fail22( X, n( z ) ) = fail32( X, n( z ) ) }.
% 34.64/35.08 { X = n( proj1N( X ) ), fail12( X, Y ) = fail22( X, Y ) }.
% 34.64/35.08 { fail12( n( s( s( Y ) ) ), X ) = fail22( n( s( s( Y ) ) ), X ) }.
% 34.64/35.08 { fail12( n( s( z ) ), X ) = X }.
% 34.64/35.08 { fail12( n( z ), X ) = fail22( n( z ), X ) }.
% 34.64/35.08 { X = n( proj1N( X ) ), fail3( Y, X ) = fail12( Y, X ) }.
% 34.64/35.08 { fail3( X, n( s( Y ) ) ) = fail12( X, n( s( Y ) ) ) }.
% 34.64/35.08 { fail3( X, n( z ) ) = n( z ) }.
% 34.64/35.08 { d( n( X ) ) = n( z ) }.
% 34.64/35.08 { d( x( X, Y ) ) = x( d( X ), d( Y ) ) }.
% 34.64/35.08 { d( y( X, Y ) ) = x( y( d( X ), Y ), y( X, d( Y ) ) ) }.
% 34.64/35.08 { d( x2 ) = n( s( z ) ) }.
% 34.64/35.08 { addNat( s( Y ), X ) = s( addNat( Y, X ) ) }.
% 34.64/35.08 { addNat( z, X ) = X }.
% 34.64/35.08 { mulNat( s( Y ), X ) = addNat( X, mulNat( Y, X ) ) }.
% 34.64/35.08 { mulNat( z, X ) = z }.
% 34.64/35.08 { X = x( proj1( X ), proj2( X ) ), X = y( proj12( X ), proj22( X ) ), opt(
% 34.64/35.08 X ) = X }.
% 34.64/35.08 { X = n( proj1N( X ) ), opt( x( X, Y ) ) = fail( X, Y ) }.
% 34.64/35.08 { opt( x( n( s( Y ) ), X ) ) = fail( n( s( Y ) ), X ) }.
% 34.64/35.08 { opt( x( n( z ), X ) ) = X }.
% 34.64/35.08 { X = n( proj1N( X ) ), opt( y( X, Y ) ) = fail3( X, Y ) }.
% 34.64/35.08 { opt( y( n( s( Y ) ), X ) ) = fail3( n( s( Y ) ), X ) }.
% 34.64/35.08 { opt( y( n( z ), X ) ) = n( z ) }.
% 34.64/35.08 { ! opt( d( X ) ) = x( y( x2, y( x2, y( x2, y( x2, x2 ) ) ) ), y( x2, x( y
% 34.64/35.08 ( x2, y( x2, y( x2, x2 ) ) ), y( x2, x( y( x2, y( x2, x2 ) ), y( x2, x( y
% 34.64/35.08 ( x2, x2 ), y( x2, x( x2, x2 ) ) ) ) ) ) ) ) ) }.
% 34.64/35.08
% 34.64/35.08 percentage equality = 1.000000, percentage horn = 0.759259
% 34.64/35.08 This is a pure equality problem
% 34.64/35.08
% 34.64/35.08
% 34.64/35.08
% 34.64/35.08 Options Used:
% 34.64/35.08
% 34.64/35.08 useres = 1
% 34.64/35.08 useparamod = 1
% 34.64/35.08 useeqrefl = 1
% 34.64/35.08 useeqfact = 1
% 34.64/35.08 usefactor = 1
% 34.64/35.08 usesimpsplitting = 0
% 34.64/35.08 usesimpdemod = 5
% 34.64/35.08 usesimpres = 3
% 34.64/35.08
% 34.64/35.08 resimpinuse = 1000
% 34.64/35.08 resimpclauses = 20000
% 34.64/35.08 substype = eqrewr
% 34.64/35.08 backwardsubs = 1
% 34.64/35.08 selectoldest = 5
% 34.64/35.08
% 34.64/35.08 litorderings [0] = split
% 34.64/35.08 litorderings [1] = extend the termordering, first sorting on arguments
% 34.64/35.08
% 34.64/35.08 termordering = kbo
% 34.64/35.08
% 34.64/35.08 litapriori = 0
% 34.64/35.08 termapriori = 1
% 34.64/35.08 litaposteriori = 0
% 34.64/35.08 termaposteriori = 0
% 34.64/35.08 demodaposteriori = 0
% 34.64/35.08 ordereqreflfact = 0
% 34.64/35.08
% 34.64/35.08 litselect = negord
% 34.64/35.08
% 34.64/35.08 maxweight = 15
% 34.64/35.08 maxdepth = 30000
% 34.64/35.08 maxlength = 115
% 34.64/35.08 maxnrvars = 195
% 34.64/35.08 excuselevel = 1
% 34.64/35.08 increasemaxweight = 1
% 34.64/35.08
% 34.64/35.08 maxselected = 10000000
% 34.64/35.08 maxnrclauses = 10000000
% 34.64/35.08
% 34.64/35.08 showgenerated = 0
% 34.64/35.08 showkept = 0
% 34.64/35.08 showselected = 0
% 34.64/35.08 showdeleted = 0
% 34.64/35.08 showresimp = 1
% 34.64/35.08 showstatus = 2000
% 34.64/35.08
% 34.64/35.08 prologoutput = 0
% 34.64/35.08 nrgoals = 5000000
% 34.64/35.08 totalproof = 1
% 34.64/35.08
% 34.64/35.08 Symbols occurring in the translation:
% 34.64/35.08
% 34.64/35.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 34.64/35.08 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 34.64/35.08 ! [4, 1] (w:0, o:33, a:1, s:1, b:0),
% 272.55/272.93 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 272.55/272.93 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 272.55/272.93 s [36, 1] (w:1, o:38, a:1, s:1, b:0),
% 272.55/272.93 proj1S [37, 1] (w:1, o:40, a:1, s:1, b:0),
% 272.55/272.93 z [38, 0] (w:1, o:7, a:1, s:1, b:0),
% 272.55/272.93 n [39, 1] (w:1, o:41, a:1, s:1, b:0),
% 272.55/272.93 proj1N [40, 1] (w:1, o:42, a:1, s:1, b:0),
% 272.55/272.93 x [42, 2] (w:1, o:72, a:1, s:1, b:0),
% 272.55/272.93 proj1 [43, 1] (w:1, o:43, a:1, s:1, b:0),
% 272.55/272.93 proj2 [44, 1] (w:1, o:45, a:1, s:1, b:0),
% 272.55/272.93 y [45, 2] (w:1, o:73, a:1, s:1, b:0),
% 272.55/272.93 proj12 [46, 1] (w:1, o:44, a:1, s:1, b:0),
% 272.55/272.93 proj22 [47, 1] (w:1, o:46, a:1, s:1, b:0),
% 272.55/272.93 x2 [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 272.55/272.93 fail2 [53, 2] (w:1, o:76, a:1, s:1, b:0),
% 272.55/272.93 opt [54, 1] (w:1, o:39, a:1, s:1, b:0),
% 272.55/272.93 fail1 [57, 2] (w:1, o:74, a:1, s:1, b:0),
% 272.55/272.93 addNat [60, 2] (w:1, o:77, a:1, s:1, b:0),
% 272.55/272.93 fail [61, 2] (w:1, o:78, a:1, s:1, b:0),
% 272.55/272.93 fail4 [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 272.55/272.93 fail32 [65, 2] (w:1, o:80, a:1, s:1, b:0),
% 272.55/272.93 mulNat [68, 2] (w:1, o:83, a:1, s:1, b:0),
% 272.55/272.93 fail22 [71, 2] (w:1, o:79, a:1, s:1, b:0),
% 272.55/272.93 fail12 [73, 2] (w:1, o:75, a:1, s:1, b:0),
% 272.55/272.93 fail3 [75, 2] (w:1, o:81, a:1, s:1, b:0),
% 272.55/272.93 d [77, 1] (w:1, o:47, a:1, s:1, b:0).
% 272.55/272.93
% 272.55/272.93
% 272.55/272.93 Starting Search:
% 272.55/272.93
% 272.55/272.93 *** allocated 15000 integers for clauses
% 272.55/272.93 *** allocated 22500 integers for clauses
% 272.55/272.93 *** allocated 33750 integers for clauses
% 272.55/272.93 *** allocated 50625 integers for clauses
% 272.55/272.93 *** allocated 15000 integers for termspace/termends
% 272.55/272.93 *** allocated 75937 integers for clauses
% 272.55/272.93 *** allocated 22500 integers for termspace/termends
% 272.55/272.93 *** allocated 113905 integers for clauses
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93 *** allocated 33750 integers for termspace/termends
% 272.55/272.93 *** allocated 170857 integers for clauses
% 272.55/272.93
% 272.55/272.93 Intermediate Status:
% 272.55/272.93 Generated: 75452
% 272.55/272.93 Kept: 2062
% 272.55/272.93 Inuse: 408
% 272.55/272.93 Deleted: 57
% 272.55/272.93 Deletedinuse: 19
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93 *** allocated 50625 integers for termspace/termends
% 272.55/272.93 *** allocated 256285 integers for clauses
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93 *** allocated 75937 integers for termspace/termends
% 272.55/272.93
% 272.55/272.93 Intermediate Status:
% 272.55/272.93 Generated: 158551
% 272.55/272.93 Kept: 4179
% 272.55/272.93 Inuse: 559
% 272.55/272.93 Deleted: 108
% 272.55/272.93 Deletedinuse: 47
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93 *** allocated 384427 integers for clauses
% 272.55/272.93 *** allocated 113905 integers for termspace/termends
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93
% 272.55/272.93 Intermediate Status:
% 272.55/272.93 Generated: 180143
% 272.55/272.93 Kept: 6757
% 272.55/272.93 Inuse: 602
% 272.55/272.93 Deleted: 136
% 272.55/272.93 Deletedinuse: 65
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93 *** allocated 576640 integers for clauses
% 272.55/272.93 *** allocated 170857 integers for termspace/termends
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93
% 272.55/272.93 Intermediate Status:
% 272.55/272.93 Generated: 251330
% 272.55/272.93 Kept: 8763
% 272.55/272.93 Inuse: 728
% 272.55/272.93 Deleted: 180
% 272.55/272.93 Deletedinuse: 69
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93 *** allocated 864960 integers for clauses
% 272.55/272.93
% 272.55/272.93 Intermediate Status:
% 272.55/272.93 Generated: 283612
% 272.55/272.93 Kept: 10866
% 272.55/272.93 Inuse: 797
% 272.55/272.93 Deleted: 211
% 272.55/272.93 Deletedinuse: 75
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93 *** allocated 256285 integers for termspace/termends
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93
% 272.55/272.93 Intermediate Status:
% 272.55/272.93 Generated: 358124
% 272.55/272.93 Kept: 12921
% 272.55/272.93 Inuse: 884
% 272.55/272.93 Deleted: 230
% 272.55/272.93 Deletedinuse: 88
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93
% 272.55/272.93 Intermediate Status:
% 272.55/272.93 Generated: 433903
% 272.55/272.93 Kept: 14928
% 272.55/272.93 Inuse: 974
% 272.55/272.93 Deleted: 272
% 272.55/272.93 Deletedinuse: 101
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93 *** allocated 1297440 integers for clauses
% 272.55/272.93 *** allocated 384427 integers for termspace/termends
% 272.55/272.93
% 272.55/272.93 Intermediate Status:
% 272.55/272.93 Generated: 487190
% 272.55/272.93 Kept: 16931
% 272.55/272.93 Inuse: 1072
% 272.55/272.93 Deleted: 306
% 272.55/272.93 Deletedinuse: 124
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93
% 272.55/272.93 Intermediate Status:
% 272.55/272.93 Generated: 578663
% 272.55/272.93 Kept: 18949
% 272.55/272.93 Inuse: 1193
% 272.55/272.93 Deleted: 321
% 272.55/272.93 Deletedinuse: 125
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93 Resimplifying clauses:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93
% 272.55/272.93 Intermediate Status:
% 272.55/272.93 Generated: 640990
% 272.55/272.93 Kept: 20968
% 272.55/272.93 Inuse: 1301
% 272.55/272.93 Deleted: 2094
% 272.55/272.93 Deletedinuse: 138
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93 Resimplifying inuse:
% 272.55/272.93 Done
% 272.55/272.93
% 272.55/272.93
% 272.55/272.93 Intermediate Status:
% 272.55/272.93 Generated: 741211
% 272.55/272.93 Kept: 22994
% 272.55/272.93 Inuse: 1391
% 272.55/272.93 Deleted: Terminated
% 299.67/300.03 Bliksem ended
% 299.67/300.03 Terminated
%------------------------------------------------------------------------------