%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWX203+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 06:56:47 PM UTC 2026
% Result : Timeout 299.68s 300.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX203+1 : TPTP v9.3.0. Released v9.3.0.
% 0.13/0.13 % Command : bliksem %s
% 0.17/0.35 % Computer : n014.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % DateTime : Tue May 5 11:24:06 EDT 2026
% 0.17/0.35 % CPUTime :
% 24.84/25.20 *** allocated 10000 integers for termspace/termends
% 24.84/25.20 *** allocated 10000 integers for clauses
% 24.84/25.20 *** allocated 10000 integers for justifications
% 24.84/25.20 Bliksem 1.12
% 24.84/25.20
% 24.84/25.20
% 24.84/25.20 Automatic Strategy Selection
% 24.84/25.20
% 24.84/25.20
% 24.84/25.20 Clauses:
% 24.84/25.20
% 24.84/25.20 { head( cons( X, Y ) ) = X }.
% 24.84/25.20 { tail( cons( X, Y ) ) = Y }.
% 24.84/25.20 { ! nil = cons( X, Y ) }.
% 24.84/25.20 { proj1S( s( X ) ) = X }.
% 24.84/25.20 { ! z = s( X ) }.
% 24.84/25.20 { leqNat( z, X ) }.
% 24.84/25.20 { ! leqNat( s( X ), z ) }.
% 24.84/25.20 { ! leqNat( s( X ), s( Y ) ), leqNat( X, Y ) }.
% 24.84/25.20 { ! leqNat( X, Y ), leqNat( s( X ), s( Y ) ) }.
% 24.84/25.20 { sorted( nil ) }.
% 24.84/25.20 { sorted( cons( X, nil ) ) }.
% 24.84/25.20 { ! sorted( cons( X, cons( Y, Z ) ) ), leqNat( X, Y ) }.
% 24.84/25.20 { ! sorted( cons( X, cons( Y, Z ) ) ), sorted( cons( Y, Z ) ) }.
% 24.84/25.20 { ! leqNat( X, Y ), ! sorted( cons( Y, Z ) ), sorted( cons( X, cons( Y, Z )
% 24.84/25.20 ) ) }.
% 24.84/25.20 { lengthNat( nil ) = z }.
% 24.84/25.20 { lengthNat( cons( X, Y ) ) = s( lengthNat( Y ) ) }.
% 24.84/25.20 { ! elemNat( X, nil ) }.
% 24.84/25.20 { ! elemNat( X, cons( Y, Z ) ), X = Y, elemNat( X, Z ) }.
% 24.84/25.20 { ! X = Y, elemNat( X, cons( Y, Z ) ) }.
% 24.84/25.20 { ! elemNat( X, Z ), elemNat( X, cons( Y, Z ) ) }.
% 24.84/25.20 { unique( nil ) }.
% 24.84/25.20 { ! unique( cons( X, Y ) ), ! elemNat( X, Y ) }.
% 24.84/25.20 { ! unique( cons( X, Y ) ), unique( Y ) }.
% 24.84/25.20 { elemNat( X, Y ), ! unique( Y ), unique( cons( X, Y ) ) }.
% 24.84/25.20 { append( nil, X ) = X }.
% 24.84/25.20 { append( cons( Y, Z ), X ) = cons( Y, append( Z, X ) ) }.
% 24.84/25.20 { rev( nil ) = nil }.
% 24.84/25.20 { rev( cons( X, Y ) ) = append( rev( Y ), cons( X, nil ) ) }.
% 24.84/25.20 { ! sorted( rev( X ) ), ! unique( X ), leqNat( lengthNat( X ), s( s( s( z )
% 24.84/25.20 ) ) ) }.
% 24.84/25.20
% 24.84/25.20 percentage equality = 0.288889, percentage horn = 0.931034
% 24.84/25.20 This is a problem with some equality
% 24.84/25.20
% 24.84/25.20
% 24.84/25.20
% 24.84/25.20 Options Used:
% 24.84/25.20
% 24.84/25.20 useres = 1
% 24.84/25.20 useparamod = 1
% 24.84/25.20 useeqrefl = 1
% 24.84/25.20 useeqfact = 1
% 24.84/25.20 usefactor = 1
% 24.84/25.20 usesimpsplitting = 0
% 24.84/25.20 usesimpdemod = 5
% 24.84/25.20 usesimpres = 3
% 24.84/25.20
% 24.84/25.20 resimpinuse = 1000
% 24.84/25.20 resimpclauses = 20000
% 24.84/25.20 substype = eqrewr
% 24.84/25.20 backwardsubs = 1
% 24.84/25.20 selectoldest = 5
% 24.84/25.20
% 24.84/25.20 litorderings [0] = split
% 24.84/25.20 litorderings [1] = extend the termordering, first sorting on arguments
% 24.84/25.20
% 24.84/25.20 termordering = kbo
% 24.84/25.20
% 24.84/25.20 litapriori = 0
% 24.84/25.20 termapriori = 1
% 24.84/25.20 litaposteriori = 0
% 24.84/25.20 termaposteriori = 0
% 24.84/25.20 demodaposteriori = 0
% 24.84/25.20 ordereqreflfact = 0
% 24.84/25.20
% 24.84/25.20 litselect = negord
% 24.84/25.20
% 24.84/25.20 maxweight = 15
% 24.84/25.20 maxdepth = 30000
% 24.84/25.20 maxlength = 115
% 24.84/25.20 maxnrvars = 195
% 24.84/25.20 excuselevel = 1
% 24.84/25.20 increasemaxweight = 1
% 24.84/25.20
% 24.84/25.20 maxselected = 10000000
% 24.84/25.20 maxnrclauses = 10000000
% 24.84/25.20
% 24.84/25.20 showgenerated = 0
% 24.84/25.20 showkept = 0
% 24.84/25.20 showselected = 0
% 24.84/25.20 showdeleted = 0
% 24.84/25.20 showresimp = 1
% 24.84/25.20 showstatus = 2000
% 24.84/25.20
% 24.84/25.20 prologoutput = 0
% 24.84/25.20 nrgoals = 5000000
% 24.84/25.20 totalproof = 1
% 24.84/25.20
% 24.84/25.20 Symbols occurring in the translation:
% 24.84/25.20
% 24.84/25.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 24.84/25.20 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 24.84/25.20 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 24.84/25.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 24.84/25.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 24.84/25.20 cons [37, 2] (w:1, o:52, a:1, s:1, b:0),
% 24.84/25.20 head [38, 1] (w:1, o:20, a:1, s:1, b:0),
% 24.84/25.20 tail [39, 1] (w:1, o:24, a:1, s:1, b:0),
% 24.84/25.20 nil [40, 0] (w:1, o:8, a:1, s:1, b:0),
% 24.84/25.20 s [41, 1] (w:1, o:22, a:1, s:1, b:0),
% 24.84/25.20 proj1S [42, 1] (w:1, o:25, a:1, s:1, b:0),
% 24.84/25.20 z [43, 0] (w:1, o:9, a:1, s:1, b:0),
% 24.84/25.20 leqNat [45, 2] (w:1, o:53, a:1, s:1, b:0),
% 24.84/25.20 sorted [48, 1] (w:1, o:23, a:1, s:1, b:0),
% 24.84/25.20 lengthNat [51, 1] (w:1, o:26, a:1, s:1, b:0),
% 24.84/25.20 elemNat [52, 2] (w:1, o:54, a:1, s:1, b:0),
% 24.84/25.20 unique [53, 1] (w:1, o:27, a:1, s:1, b:0),
% 24.84/25.20 append [54, 2] (w:1, o:55, a:1, s:1, b:0),
% 24.84/25.20 rev [55, 1] (w:1, o:21, a:1, s:1, b:0).
% 24.84/25.20
% 24.84/25.20
% 24.84/25.20 Starting Search:
% 24.84/25.20
% 24.84/25.20 *** allocated 15000 integers for clauses
% 24.84/25.20 *** allocated 22500 integers for clauses
% 24.84/25.20 *** allocated 33750 integers for clauses
% 24.84/25.20 *** allocated 15000 integers for termspace/termends
% 24.84/25.20 *** allocated 50625 integers for clauses
% 24.84/25.20 Resimplifying inuse:
% 24.84/25.20 Done
% 24.84/25.20
% 24.84/25.20 *** allocated 22500 integers for termspace/termends
% 24.84/25.20 *** allocated 75937 integers for clauses
% 24.84/25.20 *** allocated 33750 integers for termspace/termends
% 24.84/25.20 *** allocated 113905 integers for clauses
% 24.84/25.20
% 24.84/25.20 Intermediate Status:
% 24.84/25.20 Generated: 6398
% 24.84/25.20 Kept: 2009
% 24.84/25.20 Inuse: 147
% 24.84/25.20 Deleted: 1
% 24.84/25.20 Deletedinuse: 0
% 24.84/25.20
% 24.84/25.20 Resimplifying inuse:
% 24.84/25.20 Done
% 24.84/25.20
% 24.84/25.20 *** allocated 50625 integers for termspace/termends
% 24.84/25.20 *** alTerminated
% 299.68/300.03 Bliksem ended
%------------------------------------------------------------------------------