%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWX198+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 299.64s 300.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX198+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.17/0.34 % Computer : n028.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % DateTime : Tue May 5 11:07:00 EDT 2026
% 0.17/0.34 % CPUTime :
% 245.82/246.28 *** allocated 10000 integers for termspace/termends
% 245.82/246.28 *** allocated 10000 integers for clauses
% 245.82/246.28 *** allocated 10000 integers for justifications
% 245.82/246.28 Bliksem 1.12
% 245.82/246.28
% 245.82/246.28
% 245.82/246.28 Automatic Strategy Selection
% 245.82/246.28
% 245.82/246.28
% 245.82/246.28 Clauses:
% 245.82/246.28
% 245.82/246.28 { head( cons( X, Y ) ) = X }.
% 245.82/246.28 { tail( cons( X, Y ) ) = Y }.
% 245.82/246.28 { ! nil = cons( X, Y ) }.
% 245.82/246.28 { proj1S( s( X ) ) = X }.
% 245.82/246.28 { ! z = s( X ) }.
% 245.82/246.28 { ! ltNat( z, z ) }.
% 245.82/246.28 { ltNat( z, s( X ) ) }.
% 245.82/246.28 { ! ltNat( s( X ), z ) }.
% 245.82/246.28 { ! ltNat( s( X ), s( Y ) ), ltNat( X, Y ) }.
% 245.82/246.28 { ! ltNat( X, Y ), ltNat( s( X ), s( Y ) ) }.
% 245.82/246.28 { usorted( nil ) }.
% 245.82/246.28 { usorted( cons( X, nil ) ) }.
% 245.82/246.28 { ! usorted( cons( X, cons( Y, Z ) ) ), ltNat( X, Y ) }.
% 245.82/246.28 { ! usorted( cons( X, cons( Y, Z ) ) ), usorted( cons( Y, Z ) ) }.
% 245.82/246.28 { ! ltNat( X, Y ), ! usorted( cons( Y, Z ) ), usorted( cons( X, cons( Y, Z
% 245.82/246.28 ) ) ) }.
% 245.82/246.28 { leqNat( z, X ) }.
% 245.82/246.28 { ! leqNat( s( X ), z ) }.
% 245.82/246.28 { ! leqNat( s( X ), s( Y ) ), leqNat( X, Y ) }.
% 245.82/246.28 { ! leqNat( X, Y ), leqNat( s( X ), s( Y ) ) }.
% 245.82/246.28 { lengthNat( nil ) = z }.
% 245.82/246.28 { lengthNat( cons( X, Y ) ) = s( lengthNat( Y ) ) }.
% 245.82/246.28 { append( nil, X ) = X }.
% 245.82/246.28 { append( cons( Y, Z ), X ) = cons( Y, append( Z, X ) ) }.
% 245.82/246.29 { rev( nil ) = nil }.
% 245.82/246.29 { rev( cons( X, Y ) ) = append( rev( Y ), cons( X, nil ) ) }.
% 245.82/246.29 { allsmall( X, nil ) }.
% 245.82/246.29 { ! allsmall( X, cons( Y, Z ) ), ltNat( Y, X ) }.
% 245.82/246.29 { ! allsmall( X, cons( Y, Z ) ), allsmall( X, Z ) }.
% 245.82/246.29 { ! ltNat( Y, X ), ! allsmall( X, Z ), allsmall( X, cons( Y, Z ) ) }.
% 245.82/246.29 { ! usorted( rev( X ) ), ! allsmall( s( z ), X ), leqNat( lengthNat( X ), s
% 245.82/246.29 ( s( z ) ) ) }.
% 245.82/246.29
% 245.82/246.29 percentage equality = 0.250000, percentage horn = 1.000000
% 245.82/246.29 This is a problem with some equality
% 245.82/246.29
% 245.82/246.29
% 245.82/246.29
% 245.82/246.29 Options Used:
% 245.82/246.29
% 245.82/246.29 useres = 1
% 245.82/246.29 useparamod = 1
% 245.82/246.29 useeqrefl = 1
% 245.82/246.29 useeqfact = 1
% 245.82/246.29 usefactor = 1
% 245.82/246.29 usesimpsplitting = 0
% 245.82/246.29 usesimpdemod = 5
% 245.82/246.29 usesimpres = 3
% 245.82/246.29
% 245.82/246.29 resimpinuse = 1000
% 245.82/246.29 resimpclauses = 20000
% 245.82/246.29 substype = eqrewr
% 245.82/246.29 backwardsubs = 1
% 245.82/246.29 selectoldest = 5
% 245.82/246.29
% 245.82/246.29 litorderings [0] = split
% 245.82/246.29 litorderings [1] = extend the termordering, first sorting on arguments
% 245.82/246.29
% 245.82/246.29 termordering = kbo
% 245.82/246.29
% 245.82/246.29 litapriori = 0
% 245.82/246.29 termapriori = 1
% 245.82/246.29 litaposteriori = 0
% 245.82/246.29 termaposteriori = 0
% 245.82/246.29 demodaposteriori = 0
% 245.82/246.29 ordereqreflfact = 0
% 245.82/246.29
% 245.82/246.29 litselect = negord
% 245.82/246.29
% 245.82/246.29 maxweight = 15
% 245.82/246.29 maxdepth = 30000
% 245.82/246.29 maxlength = 115
% 245.82/246.29 maxnrvars = 195
% 245.82/246.29 excuselevel = 1
% 245.82/246.29 increasemaxweight = 1
% 245.82/246.29
% 245.82/246.29 maxselected = 10000000
% 245.82/246.29 maxnrclauses = 10000000
% 245.82/246.29
% 245.82/246.29 showgenerated = 0
% 245.82/246.29 showkept = 0
% 245.82/246.29 showselected = 0
% 245.82/246.29 showdeleted = 0
% 245.82/246.29 showresimp = 1
% 245.82/246.29 showstatus = 2000
% 245.82/246.29
% 245.82/246.29 prologoutput = 0
% 245.82/246.29 nrgoals = 5000000
% 245.82/246.29 totalproof = 1
% 245.82/246.29
% 245.82/246.29 Symbols occurring in the translation:
% 245.82/246.29
% 245.82/246.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 245.82/246.29 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 245.82/246.29 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 245.82/246.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 245.82/246.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 245.82/246.29 cons [37, 2] (w:1, o:51, a:1, s:1, b:0),
% 245.82/246.29 head [38, 1] (w:1, o:20, a:1, s:1, b:0),
% 245.82/246.29 tail [39, 1] (w:1, o:23, a:1, s:1, b:0),
% 245.82/246.29 nil [40, 0] (w:1, o:8, a:1, s:1, b:0),
% 245.82/246.29 s [41, 1] (w:1, o:22, a:1, s:1, b:0),
% 245.82/246.29 proj1S [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 245.82/246.29 z [43, 0] (w:1, o:9, a:1, s:1, b:0),
% 245.82/246.29 ltNat [44, 2] (w:1, o:52, a:1, s:1, b:0),
% 245.82/246.29 usorted [47, 1] (w:1, o:25, a:1, s:1, b:0),
% 245.82/246.29 leqNat [51, 2] (w:1, o:53, a:1, s:1, b:0),
% 245.82/246.29 lengthNat [52, 1] (w:1, o:26, a:1, s:1, b:0),
% 245.82/246.29 append [53, 2] (w:1, o:54, a:1, s:1, b:0),
% 245.82/246.29 rev [54, 1] (w:1, o:21, a:1, s:1, b:0),
% 245.82/246.29 allsmall [55, 2] (w:1, o:55, a:1, s:1, b:0).
% 245.82/246.29
% 245.82/246.29
% 245.82/246.29 Starting Search:
% 245.82/246.29
% 245.82/246.29 *** allocated 15000 integers for clauses
% 245.82/246.29 *** allocated 22500 integers for clauses
% 245.82/246.29 *** allocated 33750 integers for clauses
% 245.82/246.29 Resimplifying inuse:
% 245.82/246.29 Done
% 245.82/246.29
% 245.82/246.29 Failed to find proof!
% 245.82/246.29 maxweight = 15
% 245.82/246.29 maxnrclauses = 10000000
% 245.82/246.29 Generated: 26235
% 245.82/246.29 Kept: 438
% 245.82/246.29
% 245.82/246.29
% 245.82/246.29 The strategy used was not complete!
% 245.82/246.29
% 245.82/246.29 Increased maxweight to 16
% 245.82/246.29
% 245.82/246.29 Starting Search:
% 245.82/246.29
% 245.82/246.29 *** allocated 50625 integers for clauses
% 245.82/246.29 *** allocated 15000 integers for termspace/termends
% 245.82/246.29 *** allocated 75937 integers for clauses
% 245.82/246.29 *** allocated 22500 integers for termspace/termends
% 245.82/246.29 Resimplifying inuse:
% 245.82/246.29 Done
% 245.82/246.29
% 245.82/246.29 *** allocated 33750 integers for termspace/termends
% 245.82/246.29 *** allocatTerminated
% 299.64/300.03 Bliksem ended
%------------------------------------------------------------------------------