TSTP Solution File: COL064-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL064-6 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 00:12:34 EDT 2022
% Result : Unsatisfiable 0.68s 1.07s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : COL064-6 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.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 14:12:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/1.07 *** allocated 10000 integers for termspace/termends
% 0.68/1.07 *** allocated 10000 integers for clauses
% 0.68/1.07 *** allocated 10000 integers for justifications
% 0.68/1.07 Bliksem 1.12
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 Automatic Strategy Selection
% 0.68/1.07
% 0.68/1.07 Clauses:
% 0.68/1.07 [
% 0.68/1.07 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.68/1.07 ],
% 0.68/1.07 [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ],
% 0.68/1.07 [ ~( =( apply( apply( apply( apply( apply( b, apply( apply( b, apply(
% 0.68/1.07 apply( b, apply( t, apply( apply( b, b ), t ) ) ), b ) ), b ) ), t ), x )
% 0.68/1.07 , y ), z ), apply( apply( z, x ), y ) ) ) ]
% 0.68/1.07 ] .
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 percentage equality = 1.000000, percentage horn = 1.000000
% 0.68/1.07 This is a pure equality problem
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 Options Used:
% 0.68/1.07
% 0.68/1.07 useres = 1
% 0.68/1.07 useparamod = 1
% 0.68/1.07 useeqrefl = 1
% 0.68/1.07 useeqfact = 1
% 0.68/1.07 usefactor = 1
% 0.68/1.07 usesimpsplitting = 0
% 0.68/1.07 usesimpdemod = 5
% 0.68/1.07 usesimpres = 3
% 0.68/1.07
% 0.68/1.07 resimpinuse = 1000
% 0.68/1.07 resimpclauses = 20000
% 0.68/1.07 substype = eqrewr
% 0.68/1.07 backwardsubs = 1
% 0.68/1.07 selectoldest = 5
% 0.68/1.07
% 0.68/1.07 litorderings [0] = split
% 0.68/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.68/1.07
% 0.68/1.07 termordering = kbo
% 0.68/1.07
% 0.68/1.07 litapriori = 0
% 0.68/1.07 termapriori = 1
% 0.68/1.07 litaposteriori = 0
% 0.68/1.07 termaposteriori = 0
% 0.68/1.07 demodaposteriori = 0
% 0.68/1.07 ordereqreflfact = 0
% 0.68/1.07
% 0.68/1.07 litselect = negord
% 0.68/1.07
% 0.68/1.07 maxweight = 15
% 0.68/1.07 maxdepth = 30000
% 0.68/1.07 maxlength = 115
% 0.68/1.07 maxnrvars = 195
% 0.68/1.07 excuselevel = 1
% 0.68/1.07 increasemaxweight = 1
% 0.68/1.07
% 0.68/1.07 maxselected = 10000000
% 0.68/1.07 maxnrclauses = 10000000
% 0.68/1.07
% 0.68/1.07 showgenerated = 0
% 0.68/1.07 showkept = 0
% 0.68/1.07 showselected = 0
% 0.68/1.07 showdeleted = 0
% 0.68/1.07 showresimp = 1
% 0.68/1.07 showstatus = 2000
% 0.68/1.07
% 0.68/1.07 prologoutput = 1
% 0.68/1.07 nrgoals = 5000000
% 0.68/1.07 totalproof = 1
% 0.68/1.07
% 0.68/1.07 Symbols occurring in the translation:
% 0.68/1.07
% 0.68/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.07 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.68/1.07 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.68/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.07 b [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.68/1.07 apply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.68/1.07 t [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.68/1.07 x [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.68/1.07 y [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.68/1.07 z [47, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 Starting Search:
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 Bliksems!, er is een bewijs:
% 0.68/1.07 % SZS status Unsatisfiable
% 0.68/1.07 % SZS output start Refutation
% 0.68/1.07
% 0.68/1.07 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.68/1.07 Z ) ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.68/1.07 .
% 0.68/1.07 clause( 2, [] )
% 0.68/1.07 .
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 % SZS output end Refutation
% 0.68/1.07 found a proof!
% 0.68/1.07
% 0.68/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.07
% 0.68/1.07 initialclauses(
% 0.68/1.07 [ clause( 4, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.68/1.07 , Z ) ) ) ] )
% 0.68/1.07 , clause( 5, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.68/1.07 , clause( 6, [ ~( =( apply( apply( apply( apply( apply( b, apply( apply( b
% 0.68/1.07 , apply( apply( b, apply( t, apply( apply( b, b ), t ) ) ), b ) ), b ) )
% 0.68/1.07 , t ), x ), y ), z ), apply( apply( z, x ), y ) ) ) ] )
% 0.68/1.07 ] ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.68/1.07 Z ) ) ) ] )
% 0.68/1.07 , clause( 4, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.68/1.07 , Z ) ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.68/1.07 , clause( 5, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.68/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.07 )] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 paramod(
% 0.68/1.07 clause( 45, [ ~( =( apply( apply( apply( apply( apply( b, apply( apply( b,
% 0.68/1.07 apply( t, apply( apply( b, b ), t ) ) ), b ) ), b ), apply( t, x ) ), y )
% 0.68/1.07 , z ), apply( apply( z, x ), y ) ) ) ] )
% 0.68/1.07 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.68/1.07 , Z ) ) ) ] )
% 0.68/1.07 , 0, clause( 6, [ ~( =( apply( apply( apply( apply( apply( b, apply( apply(
% 0.68/1.07 b, apply( apply( b, apply( t, apply( apply( b, b ), t ) ) ), b ) ), b ) )
% 0.68/1.07 , t ), x ), y ), z ), apply( apply( z, x ), y ) ) ) ] )
% 0.68/1.07 , 0, 4, substitution( 0, [ :=( X, apply( apply( b, apply( apply( b, apply(
% 0.68/1.07 t, apply( apply( b, b ), t ) ) ), b ) ), b ) ), :=( Y, t ), :=( Z, x )] )
% 0.68/1.07 , substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 paramod(
% 0.68/1.07 clause( 48, [ ~( =( apply( apply( apply( apply( apply( b, apply( t, apply(
% 0.68/1.07 apply( b, b ), t ) ) ), b ), apply( b, apply( t, x ) ) ), y ), z ), apply(
% 0.68/1.07 apply( z, x ), y ) ) ) ] )
% 0.68/1.07 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.68/1.07 , Z ) ) ) ] )
% 0.68/1.07 , 0, clause( 45, [ ~( =( apply( apply( apply( apply( apply( b, apply( apply(
% 0.68/1.07 b, apply( t, apply( apply( b, b ), t ) ) ), b ) ), b ), apply( t, x ) ),
% 0.68/1.07 y ), z ), apply( apply( z, x ), y ) ) ) ] )
% 0.68/1.07 , 0, 4, substitution( 0, [ :=( X, apply( apply( b, apply( t, apply( apply(
% 0.68/1.07 b, b ), t ) ) ), b ) ), :=( Y, b ), :=( Z, apply( t, x ) )] ),
% 0.68/1.07 substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 paramod(
% 0.68/1.07 clause( 50, [ ~( =( apply( apply( apply( apply( t, apply( apply( b, b ), t
% 0.68/1.07 ) ), apply( b, apply( b, apply( t, x ) ) ) ), y ), z ), apply( apply( z
% 0.68/1.07 , x ), y ) ) ) ] )
% 0.68/1.07 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.68/1.07 , Z ) ) ) ] )
% 0.68/1.07 , 0, clause( 48, [ ~( =( apply( apply( apply( apply( apply( b, apply( t,
% 0.68/1.07 apply( apply( b, b ), t ) ) ), b ), apply( b, apply( t, x ) ) ), y ), z )
% 0.68/1.07 , apply( apply( z, x ), y ) ) ) ] )
% 0.68/1.07 , 0, 4, substitution( 0, [ :=( X, apply( t, apply( apply( b, b ), t ) ) ),
% 0.68/1.07 :=( Y, b ), :=( Z, apply( b, apply( t, x ) ) )] ), substitution( 1, [] )
% 0.68/1.07 ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 paramod(
% 0.68/1.07 clause( 51, [ ~( =( apply( apply( apply( apply( b, apply( b, apply( t, x )
% 0.68/1.07 ) ), apply( apply( b, b ), t ) ), y ), z ), apply( apply( z, x ), y ) )
% 0.68/1.07 ) ] )
% 0.68/1.07 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.68/1.07 , 0, clause( 50, [ ~( =( apply( apply( apply( apply( t, apply( apply( b, b
% 0.68/1.07 ), t ) ), apply( b, apply( b, apply( t, x ) ) ) ), y ), z ), apply(
% 0.68/1.07 apply( z, x ), y ) ) ) ] )
% 0.68/1.07 , 0, 4, substitution( 0, [ :=( X, apply( apply( b, b ), t ) ), :=( Y, apply(
% 0.68/1.07 b, apply( b, apply( t, x ) ) ) )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 paramod(
% 0.68/1.07 clause( 52, [ ~( =( apply( apply( apply( b, apply( t, x ) ), apply( apply(
% 0.68/1.07 apply( b, b ), t ), y ) ), z ), apply( apply( z, x ), y ) ) ) ] )
% 0.68/1.07 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.68/1.07 , Z ) ) ) ] )
% 0.68/1.07 , 0, clause( 51, [ ~( =( apply( apply( apply( apply( b, apply( b, apply( t
% 0.68/1.07 , x ) ) ), apply( apply( b, b ), t ) ), y ), z ), apply( apply( z, x ), y
% 0.68/1.07 ) ) ) ] )
% 0.68/1.07 , 0, 3, substitution( 0, [ :=( X, apply( b, apply( t, x ) ) ), :=( Y, apply(
% 0.68/1.07 apply( b, b ), t ) ), :=( Z, y )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 paramod(
% 0.68/1.07 clause( 56, [ ~( =( apply( apply( t, x ), apply( apply( apply( apply( b, b
% 0.68/1.07 ), t ), y ), z ) ), apply( apply( z, x ), y ) ) ) ] )
% 0.68/1.07 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.68/1.07 , Z ) ) ) ] )
% 0.68/1.07 , 0, clause( 52, [ ~( =( apply( apply( apply( b, apply( t, x ) ), apply(
% 0.68/1.07 apply( apply( b, b ), t ), y ) ), z ), apply( apply( z, x ), y ) ) ) ] )
% 0.68/1.07 , 0, 2, substitution( 0, [ :=( X, apply( t, x ) ), :=( Y, apply( apply(
% 0.68/1.07 apply( b, b ), t ), y ) ), :=( Z, z )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 paramod(
% 0.68/1.07 clause( 61, [ ~( =( apply( apply( apply( apply( apply( b, b ), t ), y ), z
% 0.68/1.07 ), x ), apply( apply( z, x ), y ) ) ) ] )
% 0.68/1.07 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.68/1.07 , 0, clause( 56, [ ~( =( apply( apply( t, x ), apply( apply( apply( apply(
% 0.68/1.07 b, b ), t ), y ), z ) ), apply( apply( z, x ), y ) ) ) ] )
% 0.68/1.07 , 0, 2, substitution( 0, [ :=( X, x ), :=( Y, apply( apply( apply( apply( b
% 0.68/1.07 , b ), t ), y ), z ) )] ), substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 paramod(
% 0.68/1.07 clause( 62, [ ~( =( apply( apply( apply( b, apply( t, y ) ), z ), x ),
% 0.68/1.07 apply( apply( z, x ), y ) ) ) ] )
% 0.68/1.07 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.68/1.07 , Z ) ) ) ] )
% 0.68/1.07 , 0, clause( 61, [ ~( =( apply( apply( apply( apply( apply( b, b ), t ), y
% 0.68/1.07 ), z ), x ), apply( apply( z, x ), y ) ) ) ] )
% 0.68/1.07 , 0, 4, substitution( 0, [ :=( X, b ), :=( Y, t ), :=( Z, y )] ),
% 0.68/1.07 substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 paramod(
% 0.68/1.07 clause( 64, [ ~( =( apply( apply( t, y ), apply( z, x ) ), apply( apply( z
% 0.68/1.07 , x ), y ) ) ) ] )
% 0.68/1.07 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.68/1.07 , Z ) ) ) ] )
% 0.68/1.07 , 0, clause( 62, [ ~( =( apply( apply( apply( b, apply( t, y ) ), z ), x )
% 0.68/1.07 , apply( apply( z, x ), y ) ) ) ] )
% 0.68/1.07 , 0, 2, substitution( 0, [ :=( X, apply( t, y ) ), :=( Y, z ), :=( Z, x )] )
% 0.68/1.07 , substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 paramod(
% 0.68/1.07 clause( 65, [ ~( =( apply( apply( z, x ), y ), apply( apply( z, x ), y ) )
% 0.68/1.07 ) ] )
% 0.68/1.07 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.68/1.07 , 0, clause( 64, [ ~( =( apply( apply( t, y ), apply( z, x ) ), apply(
% 0.68/1.07 apply( z, x ), y ) ) ) ] )
% 0.68/1.07 , 0, 2, substitution( 0, [ :=( X, y ), :=( Y, apply( z, x ) )] ),
% 0.68/1.07 substitution( 1, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 eqrefl(
% 0.68/1.07 clause( 66, [] )
% 0.68/1.07 , clause( 65, [ ~( =( apply( apply( z, x ), y ), apply( apply( z, x ), y )
% 0.68/1.07 ) ) ] )
% 0.68/1.07 , 0, substitution( 0, [] )).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 subsumption(
% 0.68/1.07 clause( 2, [] )
% 0.68/1.07 , clause( 66, [] )
% 0.68/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 end.
% 0.68/1.07
% 0.68/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.07
% 0.68/1.07 Memory use:
% 0.68/1.07
% 0.68/1.07 space for terms: 149
% 0.68/1.07 space for clauses: 320
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 clauses generated: 3
% 0.68/1.07 clauses kept: 3
% 0.68/1.07 clauses selected: 0
% 0.68/1.07 clauses deleted: 0
% 0.68/1.07 clauses inuse deleted: 0
% 0.68/1.07
% 0.68/1.07 subsentry: 135
% 0.68/1.07 literals s-matched: 44
% 0.68/1.07 literals matched: 44
% 0.68/1.07 full subsumption: 0
% 0.68/1.07
% 0.68/1.07 checksum: -1996488249
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 Bliksem ended
%------------------------------------------------------------------------------