%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWX209+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n031.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 299.62s 300.02s
% 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.
% 0.12/0.12 % Command : bliksem %s
% 0.15/0.33 % Computer : n031.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % DateTime : Tue May 5 11:43:38 EDT 2026
% 0.15/0.33 % CPUTime :
% 39.90/40.39 *** allocated 10000 integers for termspace/termends
% 39.90/40.39 *** allocated 10000 integers for clauses
% 39.90/40.39 *** allocated 10000 integers for justifications
% 39.90/40.39 Bliksem 1.12
% 39.90/40.39
% 39.90/40.39
% 39.90/40.39 Automatic Strategy Selection
% 39.90/40.39
% 39.90/40.39
% 39.90/40.39 Clauses:
% 39.90/40.39
% 39.90/40.39 { head( cons( X, Y ) ) = X }.
% 39.90/40.39 { tail( cons( X, Y ) ) = Y }.
% 39.90/40.39 { ! nil = cons( X, Y ) }.
% 39.90/40.39 { ! a = b }.
% 39.90/40.39 { ! a = c }.
% 39.90/40.39 { ! b = c }.
% 39.90/40.39 { proj1Atom( atom( X ) ) = X }.
% 39.90/40.39 { proj1( x( X, Y ) ) = X }.
% 39.90/40.39 { proj2( x( X, Y ) ) = Y }.
% 39.90/40.39 { proj12( y( X, Y ) ) = X }.
% 39.90/40.39 { proj22( y( X, Y ) ) = Y }.
% 39.90/40.39 { proj1Star( star( X ) ) = X }.
% 39.90/40.39 { ! nil2 = eps }.
% 39.90/40.39 { ! nil2 = atom( X ) }.
% 39.90/40.39 { ! nil2 = x( X, Y ) }.
% 39.90/40.39 { ! nil2 = y( X, Y ) }.
% 39.90/40.39 { ! nil2 = star( X ) }.
% 39.90/40.39 { ! eps = atom( X ) }.
% 39.90/40.39 { ! eps = x( X, Y ) }.
% 39.90/40.39 { ! eps = y( X, Y ) }.
% 39.90/40.39 { ! eps = star( X ) }.
% 39.90/40.39 { ! atom( X ) = x( Y, Z ) }.
% 39.90/40.39 { ! atom( X ) = y( Y, Z ) }.
% 39.90/40.39 { ! atom( X ) = star( Y ) }.
% 39.90/40.39 { ! x( X, Y ) = y( Z, T ) }.
% 39.90/40.39 { ! x( X, Y ) = star( Z ) }.
% 39.90/40.39 { ! y( X, Y ) = star( Z ) }.
% 39.90/40.39 { X = nil2, Y = nil2, X = eps, Y = eps, z( X, Y ) = y( X, Y ) }.
% 39.90/40.39 { X = nil2, X = eps, z( X, eps ) = X }.
% 39.90/40.39 { X = nil2, z( eps, X ) = X }.
% 39.90/40.39 { X = nil2, z( X, nil2 ) = nil2 }.
% 39.90/40.39 { z( nil2, X ) = nil2 }.
% 39.90/40.39 { X = nil2, Y = nil2, x2( X, Y ) = x( X, Y ) }.
% 39.90/40.39 { X = nil2, x2( X, nil2 ) = X }.
% 39.90/40.39 { x2( nil2, X ) = X }.
% 39.90/40.39 { X = eps, X = x( proj1( X ), proj2( X ) ), X = y( proj12( X ), proj22( X )
% 39.90/40.39 ), X = star( proj1Star( X ) ), ! eps2( X ) }.
% 39.90/40.39 { eps2( eps ) }.
% 39.90/40.39 { ! eps2( x( X, Y ) ), eps2( X ), eps2( Y ) }.
% 39.90/40.39 { ! eps2( X ), eps2( x( X, Y ) ) }.
% 39.90/40.39 { ! eps2( Y ), eps2( x( X, Y ) ) }.
% 39.90/40.39 { ! eps2( y( X, Y ) ), eps2( X ) }.
% 39.90/40.39 { ! eps2( y( X, Y ) ), eps2( Y ) }.
% 39.90/40.39 { ! eps2( X ), ! eps2( Y ), eps2( y( X, Y ) ) }.
% 39.90/40.39 { eps2( star( X ) ) }.
% 39.90/40.39 { X = atom( proj1Atom( X ) ), X = x( proj1( X ), proj2( X ) ), X = y(
% 39.90/40.39 proj12( X ), proj22( X ) ), X = star( proj1Star( X ) ), step( X, Y ) =
% 39.90/40.39 nil2 }.
% 39.90/40.39 { ! Y = X, step( atom( Y ), X ) = eps }.
% 39.90/40.39 { Y = X, step( atom( Y ), X ) = nil2 }.
% 39.90/40.39 { step( x( Y, Z ), X ) = x( step( Y, X ), step( Z, X ) ) }.
% 39.90/40.39 { ! eps2( X ), step( y( X, Z ), Y ) = x( y( step( X, Y ), Z ), step( Z, Y )
% 39.90/40.39 ) }.
% 39.90/40.39 { eps2( X ), step( y( X, Z ), Y ) = x( y( step( X, Y ), Z ), nil2 ) }.
% 39.90/40.39 { step( star( Y ), X ) = y( step( Y, X ), star( Y ) ) }.
% 39.90/40.39 { ! rec( X, nil ), eps2( X ) }.
% 39.90/40.39 { ! eps2( X ), rec( X, nil ) }.
% 39.90/40.39 { ! rec( X, cons( Y, Z ) ), rec( step( X, Y ), Z ) }.
% 39.90/40.39 { ! rec( step( X, Y ), Z ), rec( X, cons( Y, Z ) ) }.
% 39.90/40.39 { ! rec( X, cons( a, cons( a, cons( b, cons( b, nil ) ) ) ) ) }.
% 39.90/40.39
% 39.90/40.39 percentage equality = 0.692308, percentage horn = 0.803571
% 39.90/40.39 This is a problem with some equality
% 39.90/40.39
% 39.90/40.39
% 39.90/40.39
% 39.90/40.39 Options Used:
% 39.90/40.39
% 39.90/40.39 useres = 1
% 39.90/40.39 useparamod = 1
% 39.90/40.39 useeqrefl = 1
% 39.90/40.39 useeqfact = 1
% 39.90/40.39 usefactor = 1
% 39.90/40.39 usesimpsplitting = 0
% 39.90/40.39 usesimpdemod = 5
% 39.90/40.39 usesimpres = 3
% 39.90/40.39
% 39.90/40.39 resimpinuse = 1000
% 39.90/40.39 resimpclauses = 20000
% 39.90/40.39 substype = eqrewr
% 39.90/40.39 backwardsubs = 1
% 39.90/40.39 selectoldest = 5
% 39.90/40.39
% 39.90/40.39 litorderings [0] = split
% 39.90/40.39 litorderings [1] = extend the termordering, first sorting on arguments
% 39.90/40.39
% 39.90/40.39 termordering = kbo
% 39.90/40.39
% 39.90/40.39 litapriori = 0
% 39.90/40.39 termapriori = 1
% 39.90/40.39 litaposteriori = 0
% 39.90/40.39 termaposteriori = 0
% 39.90/40.39 demodaposteriori = 0
% 39.90/40.39 ordereqreflfact = 0
% 39.90/40.39
% 39.90/40.39 litselect = negord
% 39.90/40.39
% 39.90/40.39 maxweight = 15
% 39.90/40.39 maxdepth = 30000
% 39.90/40.39 maxlength = 115
% 39.90/40.39 maxnrvars = 195
% 39.90/40.39 excuselevel = 1
% 39.90/40.39 increasemaxweight = 1
% 39.90/40.39
% 39.90/40.39 maxselected = 10000000
% 39.90/40.39 maxnrclauses = 10000000
% 39.90/40.39
% 39.90/40.39 showgenerated = 0
% 39.90/40.39 showkept = 0
% 39.90/40.39 showselected = 0
% 39.90/40.39 showdeleted = 0
% 39.90/40.39 showresimp = 1
% 39.90/40.39 showstatus = 2000
% 39.90/40.39
% 39.90/40.39 prologoutput = 0
% 39.90/40.39 nrgoals = 5000000
% 39.90/40.39 totalproof = 1
% 39.90/40.39
% 39.90/40.39 Symbols occurring in the translation:
% 39.90/40.39
% 39.90/40.39 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 39.90/40.39 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 39.90/40.39 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 39.90/40.39 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 39.90/40.39 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 39.90/40.39 cons [37, 2] (w:1, o:65, a:1, s:1, b:0),
% 39.90/40.39 head [38, 1] (w:1, o:30, a:1, s:1, b:0),
% 39.90/40.39 tail [39, 1] (w:1, o:32, a:1, s:1, b:0),
% 39.90/40.39 nil [40, 0] (w:1, o:8, a:1, s:1, b:0),
% 39.90/40.39 a [41, 0] (w:1, o:9, a:1, s:1, b:0),
% 39.90/40.39 b [42, 0] (w:1, o:10, a:1, s:1, b:0),
% 39.90/40.39 c [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 39.90/40.39 atom [44, 1] (w:1, o:33, a:1, s:1, b:0),
% 39.90/40.39 proj1Atom [45, 1] (w:1, o:Terminated
% 299.62/300.02 Bliksem ended
% 299.62/300.03 Terminated
%------------------------------------------------------------------------------