%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWX209-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 06:56:48 PM UTC 2026
% Result : Timeout 299.21s 300.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX209-1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.16/0.34 % Computer : n013.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 11:43:26 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.76/1.62 *** allocated 10000 integers for termspace/termends
% 0.76/1.62 *** allocated 10000 integers for clauses
% 0.76/1.62 *** allocated 10000 integers for justifications
% 0.76/1.62 Bliksem 1.12
% 0.76/1.62
% 0.76/1.62
% 0.76/1.62 Automatic Strategy Selection
% 0.76/1.62
% 0.76/1.62 Clauses:
% 0.76/1.62 [
% 0.76/1.62 [ =( aux( X, Y, btrue ), eps ) ],
% 0.76/1.62 [ =( aux( X, Y, bfalse ), nil2 ) ],
% 0.76/1.62 [ =( aux2( X, Y, Z, btrue ), x( y( step( Y, X ), Z ), step( Z, X ) ) ) ]
% 0.76/1.62 ,
% 0.76/1.62 [ =( aux2( X, Y, Z, bfalse ), x( y( step( Y, X ), Z ), nil2 ) ) ],
% 0.76/1.62 [ =( z( nil2, X ), nil2 ) ],
% 0.76/1.62 [ =( z( eps, X ), X ) ],
% 0.76/1.62 [ =( z( atom( X ), nil2 ), nil2 ) ],
% 0.76/1.62 [ =( z( atom( X ), eps ), atom( X ) ) ],
% 0.76/1.62 [ =( z( atom( X ), atom( Y ) ), y( atom( X ), atom( Y ) ) ) ],
% 0.76/1.62 [ =( z( atom( X ), x( Y, Z ) ), y( atom( X ), x( Y, Z ) ) ) ],
% 0.76/1.62 [ =( z( atom( X ), y( Y, Z ) ), y( atom( X ), y( Y, Z ) ) ) ],
% 0.76/1.62 [ =( z( atom( X ), star( Y ) ), y( atom( X ), star( Y ) ) ) ],
% 0.76/1.62 [ =( z( x( X, Y ), nil2 ), nil2 ) ],
% 0.76/1.62 [ =( z( x( X, Y ), eps ), x( X, Y ) ) ],
% 0.76/1.62 [ =( z( x( X, Y ), atom( Z ) ), y( x( X, Y ), atom( Z ) ) ) ],
% 0.76/1.62 [ =( z( x( X, Y ), x( Z, T ) ), y( x( X, Y ), x( Z, T ) ) ) ],
% 0.76/1.62 [ =( z( x( X, Y ), y( Z, T ) ), y( x( X, Y ), y( Z, T ) ) ) ],
% 0.76/1.62 [ =( z( x( X, Y ), star( Z ) ), y( x( X, Y ), star( Z ) ) ) ],
% 0.76/1.62 [ =( z( y( X, Y ), nil2 ), nil2 ) ],
% 0.76/1.62 [ =( z( y( X, Y ), eps ), y( X, Y ) ) ],
% 0.76/1.62 [ =( z( y( X, Y ), atom( Z ) ), y( y( X, Y ), atom( Z ) ) ) ],
% 0.76/1.62 [ =( z( y( X, Y ), x( Z, T ) ), y( y( X, Y ), x( Z, T ) ) ) ],
% 0.76/1.62 [ =( z( y( X, Y ), y( Z, T ) ), y( y( X, Y ), y( Z, T ) ) ) ],
% 0.76/1.62 [ =( z( y( X, Y ), star( Z ) ), y( y( X, Y ), star( Z ) ) ) ],
% 0.76/1.62 [ =( z( star( X ), nil2 ), nil2 ) ],
% 0.76/1.62 [ =( z( star( X ), eps ), star( X ) ) ],
% 0.76/1.62 [ =( z( star( X ), atom( Y ) ), y( star( X ), atom( Y ) ) ) ],
% 0.76/1.62 [ =( z( star( X ), x( Y, Z ) ), y( star( X ), x( Y, Z ) ) ) ],
% 0.76/1.62 [ =( z( star( X ), y( Y, Z ) ), y( star( X ), y( Y, Z ) ) ) ],
% 0.76/1.62 [ =( z( star( X ), star( Y ) ), y( star( X ), star( Y ) ) ) ],
% 0.76/1.62 [ =( x2( nil2, X ), X ) ],
% 0.76/1.62 [ =( x2( eps, nil2 ), eps ) ],
% 0.76/1.62 [ =( x2( eps, eps ), x( eps, eps ) ) ],
% 0.76/1.62 [ =( x2( eps, atom( X ) ), x( eps, atom( X ) ) ) ],
% 0.76/1.62 [ =( x2( eps, x( X, Y ) ), x( eps, x( X, Y ) ) ) ],
% 0.76/1.62 [ =( x2( eps, y( X, Y ) ), x( eps, y( X, Y ) ) ) ],
% 0.76/1.62 [ =( x2( eps, star( X ) ), x( eps, star( X ) ) ) ],
% 0.76/1.62 [ =( x2( atom( X ), nil2 ), atom( X ) ) ],
% 0.76/1.62 [ =( x2( atom( X ), eps ), x( atom( X ), eps ) ) ],
% 0.76/1.62 [ =( x2( atom( X ), atom( Y ) ), x( atom( X ), atom( Y ) ) ) ],
% 0.76/1.62 [ =( x2( atom( X ), x( Y, Z ) ), x( atom( X ), x( Y, Z ) ) ) ],
% 0.76/1.62 [ =( x2( atom( X ), y( Y, Z ) ), x( atom( X ), y( Y, Z ) ) ) ],
% 0.76/1.62 [ =( x2( atom( X ), star( Y ) ), x( atom( X ), star( Y ) ) ) ],
% 0.76/1.62 [ =( x2( x( X, Y ), nil2 ), x( X, Y ) ) ],
% 0.76/1.62 [ =( x2( x( X, Y ), eps ), x( x( X, Y ), eps ) ) ],
% 0.76/1.62 [ =( x2( x( X, Y ), atom( Z ) ), x( x( X, Y ), atom( Z ) ) ) ],
% 0.76/1.62 [ =( x2( x( X, Y ), x( Z, T ) ), x( x( X, Y ), x( Z, T ) ) ) ],
% 0.76/1.62 [ =( x2( x( X, Y ), y( Z, T ) ), x( x( X, Y ), y( Z, T ) ) ) ],
% 0.76/1.62 [ =( x2( x( X, Y ), star( Z ) ), x( x( X, Y ), star( Z ) ) ) ],
% 0.76/1.62 [ =( x2( y( X, Y ), nil2 ), y( X, Y ) ) ],
% 0.76/1.62 [ =( x2( y( X, Y ), eps ), x( y( X, Y ), eps ) ) ],
% 0.76/1.62 [ =( x2( y( X, Y ), atom( Z ) ), x( y( X, Y ), atom( Z ) ) ) ],
% 0.76/1.62 [ =( x2( y( X, Y ), x( Z, T ) ), x( y( X, Y ), x( Z, T ) ) ) ],
% 0.76/1.62 [ =( x2( y( X, Y ), y( Z, T ) ), x( y( X, Y ), y( Z, T ) ) ) ],
% 0.76/1.62 [ =( x2( y( X, Y ), star( Z ) ), x( y( X, Y ), star( Z ) ) ) ],
% 0.76/1.62 [ =( x2( star( X ), nil2 ), star( X ) ) ],
% 0.76/1.62 [ =( x2( star( X ), eps ), x( star( X ), eps ) ) ],
% 0.76/1.62 [ =( x2( star( X ), atom( Y ) ), x( star( X ), atom( Y ) ) ) ],
% 0.76/1.62 [ =( x2( star( X ), x( Y, Z ) ), x( star( X ), x( Y, Z ) ) ) ],
% 0.76/1.62 [ =( x2( star( X ), y( Y, Z ) ), x( star( X ), y( Y, Z ) ) ) ],
% 0.76/1.62 [ =( x2( star( X ), star( Y ) ), x( star( X ), star( Y ) ) ) ],
% 0.76/1.62 [ =( orb( btrue, X ), btrue ) ],
% 0.76/1.62 [ =( orb( bfalse, X ), X ) ],
% 0.76/1.62 [ =( notb( btrue ), bfalse ) ],
% 0.76/1.62 [ =( notb( bfalse ), btrue ) ],
% 0.76/1.62 [ =( andb( btrue, X ), X ) ],
% 0.76/1.62 [ =( andb( bfalse, X ), bfalse ) ],
% 0.76/1.62 [ =( eps2( eps ), btrue ) ],
% 0.76/1.62 [ =( eps2( x( X, Y ) ), orb( eps2( X ), eps2( Y ) ) ) ],
% 0.76/1.62 [ =( eps2( y( X, Y ) ), andb( eps2( X ), eps2( Y ) ) ) ],
% 0.76/1.62 [ =( eps2( star( X ) ), btrue ) ],
% 0.76/1.62 [ =( eps2( nil2 ), bfalse ) ],
% 52.52/52.90 [ =( eps2( atom( X ) ), bfalse ) ],
% 52.52/52.90 [ =( step( atom( X ), Y ), aux( Y, X, eq( X, Y ) ) ) ],
% 52.52/52.90 [ =( step( x( X, Y ), Z ), x( step( X, Z ), step( Y, Z ) ) ) ],
% 52.52/52.90 [ =( step( y( X, Y ), Z ), aux2( Z, X, Y, eps2( X ) ) ) ],
% 52.52/52.90 [ =( step( star( X ), Y ), y( step( X, Y ), star( X ) ) ) ],
% 52.52/52.90 [ =( step( nil2, X ), nil2 ) ],
% 52.52/52.90 [ =( step( eps, X ), nil2 ) ],
% 52.52/52.90 [ =( rec( X, nil ), eps2( X ) ) ],
% 52.52/52.90 [ =( rec( X, cons( Y, Z ) ), rec( step( X, Y ), Z ) ) ],
% 52.52/52.90 [ =( 'prop_find3'( X ), notb( rec( X, cons( a, cons( a, cons( b, cons( b
% 52.52/52.90 , nil ) ) ) ) ) ) ) ],
% 52.52/52.90 [ =( eq( a, b ), bfalse ) ],
% 52.52/52.90 [ =( eq( a, c ), bfalse ) ],
% 52.52/52.90 [ =( eq( b, a ), bfalse ) ],
% 52.52/52.90 [ =( eq( b, c ), bfalse ) ],
% 52.52/52.90 [ =( eq( c, a ), bfalse ) ],
% 52.52/52.90 [ =( eq( c, b ), bfalse ) ],
% 52.52/52.90 [ =( eq2( bfalse, btrue ), bfalse ) ],
% 52.52/52.90 [ =( eq2( btrue, bfalse ), bfalse ) ],
% 52.52/52.90 [ =( eq( X, X ), btrue ) ],
% 52.52/52.90 [ =( eq2( X, X ), btrue ) ],
% 52.52/52.90 [ ~( =( eq2( 'prop_find3'( X ), bfalse ), btrue ) ) ]
% 52.52/52.90 ] .
% 52.52/52.90
% 52.52/52.90
% 52.52/52.90 percentage equality = 1.000000, percentage horn = 1.000000
% 52.52/52.90 This is a pure equality problem
% 52.52/52.90
% 52.52/52.90
% 52.52/52.90
% 52.52/52.90 Options Used:
% 52.52/52.90
% 52.52/52.90 useres = 1
% 52.52/52.90 useparamod = 1
% 52.52/52.90 useeqrefl = 1
% 52.52/52.90 useeqfact = 1
% 52.52/52.90 usefactor = 1
% 52.52/52.90 usesimpsplitting = 0
% 52.52/52.90 usesimpdemod = 5
% 52.52/52.90 usesimpres = 3
% 52.52/52.90
% 52.52/52.90 resimpinuse = 1000
% 52.52/52.90 resimpclauses = 20000
% 52.52/52.90 substype = eqrewr
% 52.52/52.90 backwardsubs = 1
% 52.52/52.90 selectoldest = 5
% 52.52/52.90
% 52.52/52.90 litorderings [0] = split
% 52.52/52.90 litorderings [1] = extend the termordering, first sorting on arguments
% 52.52/52.90
% 52.52/52.90 termordering = kbo
% 52.52/52.90
% 52.52/52.90 litapriori = 0
% 52.52/52.90 termapriori = 1
% 52.52/52.90 litaposteriori = 0
% 52.52/52.90 termaposteriori = 0
% 52.52/52.90 demodaposteriori = 0
% 52.52/52.90 ordereqreflfact = 0
% 52.52/52.90
% 52.52/52.90 litselect = negord
% 52.52/52.90
% 52.52/52.90 maxweight = 15
% 52.52/52.90 maxdepth = 30000
% 52.52/52.90 maxlength = 115
% 52.52/52.90 maxnrvars = 195
% 52.52/52.90 excuselevel = 1
% 52.52/52.90 increasemaxweight = 1
% 52.52/52.90
% 52.52/52.90 maxselected = 10000000
% 52.52/52.90 maxnrclauses = 10000000
% 52.52/52.90
% 52.52/52.90 showgenerated = 0
% 52.52/52.90 showkept = 0
% 52.52/52.90 showselected = 0
% 52.52/52.90 showdeleted = 0
% 52.52/52.90 showresimp = 1
% 52.52/52.90 showstatus = 2000
% 52.52/52.90
% 52.52/52.90 prologoutput = 1
% 52.52/52.90 nrgoals = 5000000
% 52.52/52.90 totalproof = 1
% 52.52/52.90
% 52.52/52.90 Symbols occurring in the translation:
% 52.52/52.90
% 52.52/52.90 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 52.52/52.90 . [1, 2] (w:1, o:40, a:1, s:1, b:0),
% 52.52/52.90 ! [4, 1] (w:0, o:30, a:1, s:1, b:0),
% 52.52/52.90 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 52.52/52.90 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 52.52/52.90 btrue [41, 0] (w:1, o:17, a:1, s:1, b:0),
% 52.52/52.90 aux [42, 3] (w:1, o:76, a:1, s:1, b:0),
% 52.52/52.90 eps [43, 0] (w:1, o:18, a:1, s:1, b:0),
% 52.52/52.90 bfalse [44, 0] (w:1, o:19, a:1, s:1, b:0),
% 52.52/52.90 nil2 [45, 0] (w:1, o:20, a:1, s:1, b:0),
% 52.52/52.90 aux2 [48, 4] (w:1, o:77, a:1, s:1, b:0),
% 52.52/52.90 step [49, 2] (w:1, o:66, a:1, s:1, b:0),
% 52.52/52.90 y [50, 2] (w:1, o:69, a:1, s:1, b:0),
% 52.52/52.90 x [51, 2] (w:1, o:67, a:1, s:1, b:0),
% 52.52/52.90 z [52, 2] (w:1, o:70, a:1, s:1, b:0),
% 52.52/52.90 atom [54, 1] (w:1, o:35, a:1, s:1, b:0),
% 52.52/52.90 star [57, 1] (w:1, o:36, a:1, s:1, b:0),
% 52.52/52.90 x2 [59, 2] (w:1, o:68, a:1, s:1, b:0),
% 52.52/52.90 orb [61, 2] (w:1, o:71, a:1, s:1, b:0),
% 52.52/52.90 notb [62, 1] (w:1, o:37, a:1, s:1, b:0),
% 52.52/52.90 andb [63, 2] (w:1, o:72, a:1, s:1, b:0),
% 52.52/52.90 eps2 [64, 1] (w:1, o:38, a:1, s:1, b:0),
% 52.52/52.90 eq [66, 2] (w:1, o:73, a:1, s:1, b:0),
% 52.52/52.90 nil [68, 0] (w:1, o:26, a:1, s:1, b:0),
% 52.52/52.90 rec [69, 2] (w:1, o:65, a:1, s:1, b:0),
% 52.52/52.90 cons [72, 2] (w:1, o:74, a:1, s:1, b:0),
% 52.52/52.90 'prop_find3' [73, 1] (w:1, o:39, a:1, s:1, b:0),
% 52.52/52.90 a [74, 0] (w:1, o:16, a:1, s:1, b:0),
% 52.52/52.90 b [75, 0] (w:1, o:28, a:1, s:1, b:0),
% 52.52/52.90 c [76, 0] (w:1, o:29, a:1, s:1, b:0),
% 52.52/52.90 eq2 [77, 2] (w:1, o:75, a:1, s:1, b:0).
% 52.52/52.90
% 52.52/52.90
% 52.52/52.90 Starting Search:
% 52.52/52.90
% 52.52/52.90 Resimplifying inuse:
% 52.52/52.90 Done
% 52.52/52.90
% 52.52/52.90
% 52.52/52.90 Intermediate Status:
% 52.52/52.90 Generated: 6594
% 52.52/52.90 Kept: 2001
% 52.52/52.90 Inuse: 408
% 52.52/52.90 Deleted: 133
% 52.52/52.90 Deletedinuse: 23
% 52.52/52.90
% 52.52/52.90 Resimplifying inuse:
% 52.52/52.90 Done
% 52.52/52.90
% 52.52/52.90 Resimplifying inuse:
% 52.52/52.90 Done
% 52.52/52.90
% 52.52/52.90
% 52.52/52.90 Intermediate Status:
% 52.52/52.90 Generated: 23078
% 52.52/52.90 Kept: 4007
% 52.52/52.90 Inuse: 862
% 52.52/52.90 Deleted: 453
% 52.52/52.90 Deletedinuse: 45
% 52.52/52.90
% 52.52/52.90 Resimplifying inuse:
% 52.52/52.90 Done
% 52.52/52.90
% 52.52/52.90 Resimplifying inuse:
% 52.52/52.90 Done
% 52.52/52.90
% 52.52/52.90
% 52.52/52.90 Intermediate Status:
% 52.52/52.90 Generated: 35461
% 52.52/52.90 Kept: 6010
% 52.52/52.90 Inuse: 1188
% 52.52/52.90 Deleted: 536
% 52.52/52.90 Deletedinuse: 60
% 52.52/52.90
% 52.52/52.90 Resimplifying inuse:
% 52.52/52.90 Done
% 52.52/52.90
% 52.52/52.90 ResiTerminated
% 299.21/300.03 Bliksem ended
%------------------------------------------------------------------------------