%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL063-4 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 : Fri Jul 15 00:12:32 EDT 2022
% Result : Unsatisfiable 0.41s 1.06s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL063-4 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue May 31 04:33:40 EDT 2022
% 0.19/0.33 % CPUTime :
% 0.41/1.06 *** allocated 10000 integers for termspace/termends
% 0.41/1.06 *** allocated 10000 integers for clauses
% 0.41/1.06 *** allocated 10000 integers for justifications
% 0.41/1.06 Bliksem 1.12
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Automatic Strategy Selection
% 0.41/1.06
% 0.41/1.06 Clauses:
% 0.41/1.06 [
% 0.41/1.06 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.41/1.06 ],
% 0.41/1.06 [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ],
% 0.41/1.06 [ ~( =( apply( apply( apply( apply( apply( b, apply( t, t ) ), apply(
% 0.41/1.06 apply( b, apply( apply( b, b ), b ) ), t ) ), x ), y ), z ), apply( apply(
% 0.41/1.06 z, y ), x ) ) ) ]
% 0.41/1.06 ] .
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 percentage equality = 1.000000, percentage horn = 1.000000
% 0.41/1.06 This is a pure equality problem
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Options Used:
% 0.41/1.06
% 0.41/1.06 useres = 1
% 0.41/1.06 useparamod = 1
% 0.41/1.06 useeqrefl = 1
% 0.41/1.06 useeqfact = 1
% 0.41/1.06 usefactor = 1
% 0.41/1.06 usesimpsplitting = 0
% 0.41/1.06 usesimpdemod = 5
% 0.41/1.06 usesimpres = 3
% 0.41/1.06
% 0.41/1.06 resimpinuse = 1000
% 0.41/1.06 resimpclauses = 20000
% 0.41/1.06 substype = eqrewr
% 0.41/1.06 backwardsubs = 1
% 0.41/1.06 selectoldest = 5
% 0.41/1.06
% 0.41/1.06 litorderings [0] = split
% 0.41/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.41/1.06
% 0.41/1.06 termordering = kbo
% 0.41/1.06
% 0.41/1.06 litapriori = 0
% 0.41/1.06 termapriori = 1
% 0.41/1.06 litaposteriori = 0
% 0.41/1.06 termaposteriori = 0
% 0.41/1.06 demodaposteriori = 0
% 0.41/1.06 ordereqreflfact = 0
% 0.41/1.06
% 0.41/1.06 litselect = negord
% 0.41/1.06
% 0.41/1.06 maxweight = 15
% 0.41/1.06 maxdepth = 30000
% 0.41/1.06 maxlength = 115
% 0.41/1.06 maxnrvars = 195
% 0.41/1.06 excuselevel = 1
% 0.41/1.06 increasemaxweight = 1
% 0.41/1.06
% 0.41/1.06 maxselected = 10000000
% 0.41/1.06 maxnrclauses = 10000000
% 0.41/1.06
% 0.41/1.06 showgenerated = 0
% 0.41/1.06 showkept = 0
% 0.41/1.06 showselected = 0
% 0.41/1.06 showdeleted = 0
% 0.41/1.06 showresimp = 1
% 0.41/1.06 showstatus = 2000
% 0.41/1.06
% 0.41/1.06 prologoutput = 1
% 0.41/1.06 nrgoals = 5000000
% 0.41/1.06 totalproof = 1
% 0.41/1.06
% 0.41/1.06 Symbols occurring in the translation:
% 0.41/1.06
% 0.41/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.41/1.06 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.41/1.06 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.41/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.06 b [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.41/1.06 apply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.41/1.06 t [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.41/1.06 x [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.41/1.06 y [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.41/1.06 z [47, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Starting Search:
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Bliksems!, er is een bewijs:
% 0.41/1.06 % SZS status Unsatisfiable
% 0.41/1.06 % SZS output start Refutation
% 0.41/1.06
% 0.41/1.06 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.41/1.06 Z ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 2, [] )
% 0.41/1.06 .
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 % SZS output end Refutation
% 0.41/1.06 found a proof!
% 0.41/1.06
% 0.41/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06
% 0.41/1.06 initialclauses(
% 0.41/1.06 [ clause( 4, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.41/1.06 , Z ) ) ) ] )
% 0.41/1.06 , clause( 5, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.41/1.06 , clause( 6, [ ~( =( apply( apply( apply( apply( apply( b, apply( t, t ) )
% 0.41/1.06 , apply( apply( b, apply( apply( b, b ), b ) ), t ) ), x ), y ), z ),
% 0.41/1.06 apply( apply( z, y ), x ) ) ) ] )
% 0.41/1.06 ] ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.41/1.06 Z ) ) ) ] )
% 0.41/1.06 , clause( 4, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.41/1.06 , Z ) ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.41/1.06 , clause( 5, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 39, [ ~( =( apply( apply( apply( apply( t, t ), apply( apply( apply(
% 0.41/1.06 b, apply( apply( b, b ), b ) ), t ), x ) ), y ), z ), apply( apply( z, y
% 0.41/1.06 ), x ) ) ) ] )
% 0.41/1.06 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.41/1.06 , Z ) ) ) ] )
% 0.41/1.06 , 0, clause( 6, [ ~( =( apply( apply( apply( apply( apply( b, apply( t, t )
% 0.41/1.06 ), apply( apply( b, apply( apply( b, b ), b ) ), t ) ), x ), y ), z ),
% 0.41/1.06 apply( apply( z, y ), x ) ) ) ] )
% 0.41/1.06 , 0, 4, substitution( 0, [ :=( X, apply( t, t ) ), :=( Y, apply( apply( b,
% 0.41/1.06 apply( apply( b, b ), b ) ), t ) ), :=( Z, x )] ), substitution( 1, [] )
% 0.41/1.06 ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 42, [ ~( =( apply( apply( apply( apply( apply( apply( b, apply(
% 0.41/1.06 apply( b, b ), b ) ), t ), x ), t ), y ), z ), apply( apply( z, y ), x )
% 0.41/1.06 ) ) ] )
% 0.41/1.06 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.41/1.06 , 0, clause( 39, [ ~( =( apply( apply( apply( apply( t, t ), apply( apply(
% 0.41/1.06 apply( b, apply( apply( b, b ), b ) ), t ), x ) ), y ), z ), apply( apply(
% 0.41/1.06 z, y ), x ) ) ) ] )
% 0.41/1.06 , 0, 4, substitution( 0, [ :=( X, t ), :=( Y, apply( apply( apply( b, apply(
% 0.41/1.06 apply( b, b ), b ) ), t ), x ) )] ), substitution( 1, [] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 43, [ ~( =( apply( apply( apply( apply( apply( apply( b, b ), b ),
% 0.41/1.06 apply( t, x ) ), t ), y ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.41/1.06 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.41/1.06 , Z ) ) ) ] )
% 0.41/1.06 , 0, clause( 42, [ ~( =( apply( apply( apply( apply( apply( apply( b, apply(
% 0.41/1.06 apply( b, b ), b ) ), t ), x ), t ), y ), z ), apply( apply( z, y ), x )
% 0.41/1.06 ) ) ] )
% 0.41/1.06 , 0, 5, substitution( 0, [ :=( X, apply( apply( b, b ), b ) ), :=( Y, t ),
% 0.41/1.06 :=( Z, x )] ), substitution( 1, [] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 47, [ ~( =( apply( apply( apply( apply( b, apply( b, apply( t, x )
% 0.41/1.06 ) ), t ), y ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.41/1.06 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.41/1.06 , Z ) ) ) ] )
% 0.41/1.06 , 0, clause( 43, [ ~( =( apply( apply( apply( apply( apply( apply( b, b ),
% 0.41/1.06 b ), apply( t, x ) ), t ), y ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.41/1.06 , 0, 5, substitution( 0, [ :=( X, b ), :=( Y, b ), :=( Z, apply( t, x ) )] )
% 0.41/1.06 , substitution( 1, [] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 50, [ ~( =( apply( apply( apply( b, apply( t, x ) ), apply( t, y )
% 0.41/1.06 ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.41/1.06 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.41/1.06 , Z ) ) ) ] )
% 0.41/1.06 , 0, clause( 47, [ ~( =( apply( apply( apply( apply( b, apply( b, apply( t
% 0.41/1.06 , x ) ) ), t ), y ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.41/1.06 , 0, 3, substitution( 0, [ :=( X, apply( b, apply( t, x ) ) ), :=( Y, t ),
% 0.41/1.06 :=( Z, y )] ), substitution( 1, [] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 52, [ ~( =( apply( apply( t, x ), apply( apply( t, y ), z ) ),
% 0.41/1.06 apply( apply( z, y ), x ) ) ) ] )
% 0.41/1.06 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.41/1.06 , Z ) ) ) ] )
% 0.41/1.06 , 0, clause( 50, [ ~( =( apply( apply( apply( b, apply( t, x ) ), apply( t
% 0.41/1.06 , y ) ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.41/1.06 , 0, 2, substitution( 0, [ :=( X, apply( t, x ) ), :=( Y, apply( t, y ) ),
% 0.41/1.06 :=( Z, z )] ), substitution( 1, [] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 54, [ ~( =( apply( apply( t, x ), apply( z, y ) ), apply( apply( z
% 0.41/1.06 , y ), x ) ) ) ] )
% 0.41/1.06 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.41/1.06 , 0, clause( 52, [ ~( =( apply( apply( t, x ), apply( apply( t, y ), z ) )
% 0.41/1.06 , apply( apply( z, y ), x ) ) ) ] )
% 0.41/1.06 , 0, 6, substitution( 0, [ :=( X, y ), :=( Y, z )] ), substitution( 1, [] )
% 0.41/1.06 ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 56, [ ~( =( apply( apply( z, y ), x ), apply( apply( z, y ), x ) )
% 0.41/1.06 ) ] )
% 0.41/1.06 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.41/1.06 , 0, clause( 54, [ ~( =( apply( apply( t, x ), apply( z, y ) ), apply(
% 0.41/1.06 apply( z, y ), x ) ) ) ] )
% 0.41/1.06 , 0, 2, substitution( 0, [ :=( X, x ), :=( Y, apply( z, y ) )] ),
% 0.41/1.06 substitution( 1, [] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqrefl(
% 0.41/1.06 clause( 57, [] )
% 0.41/1.06 , clause( 56, [ ~( =( apply( apply( z, y ), x ), apply( apply( z, y ), x )
% 0.41/1.06 ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 2, [] )
% 0.41/1.06 , clause( 57, [] )
% 0.41/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 end.
% 0.41/1.06
% 0.41/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06
% 0.41/1.06 Memory use:
% 0.41/1.06
% 0.41/1.06 space for terms: 141
% 0.41/1.06 space for clauses: 316
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 clauses generated: 3
% 0.41/1.06 clauses kept: 3
% 0.41/1.06 clauses selected: 0
% 0.41/1.06 clauses deleted: 0
% 0.41/1.06 clauses inuse deleted: 0
% 0.41/1.06
% 0.41/1.06 subsentry: 117
% 0.41/1.06 literals s-matched: 37
% 0.41/1.06 literals matched: 37
% 0.41/1.06 full subsumption: 0
% 0.41/1.06
% 0.41/1.06 checksum: -1996488373
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Bliksem ended
%------------------------------------------------------------------------------