TSTP Solution File: COL063-6 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL063-6 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 00:12:33 EDT 2022
% Result : Unsatisfiable 0.71s 1.08s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : COL063-6 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.08/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Tue May 31 13:06:37 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.71/1.08 *** allocated 10000 integers for termspace/termends
% 0.71/1.08 *** allocated 10000 integers for clauses
% 0.71/1.08 *** allocated 10000 integers for justifications
% 0.71/1.08 Bliksem 1.12
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Automatic Strategy Selection
% 0.71/1.08
% 0.71/1.08 Clauses:
% 0.71/1.08 [
% 0.71/1.08 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.71/1.08 ],
% 0.71/1.08 [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ],
% 0.71/1.08 [ ~( =( apply( apply( apply( apply( apply( b, apply( apply( b, apply(
% 0.71/1.08 apply( b, apply( t, t ) ), b ) ), b ) ), t ), x ), y ), z ), apply( apply(
% 0.71/1.08 z, y ), x ) ) ) ]
% 0.71/1.08 ] .
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.08 This is a pure equality problem
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Options Used:
% 0.71/1.08
% 0.71/1.08 useres = 1
% 0.71/1.08 useparamod = 1
% 0.71/1.08 useeqrefl = 1
% 0.71/1.08 useeqfact = 1
% 0.71/1.08 usefactor = 1
% 0.71/1.08 usesimpsplitting = 0
% 0.71/1.08 usesimpdemod = 5
% 0.71/1.08 usesimpres = 3
% 0.71/1.08
% 0.71/1.08 resimpinuse = 1000
% 0.71/1.08 resimpclauses = 20000
% 0.71/1.08 substype = eqrewr
% 0.71/1.08 backwardsubs = 1
% 0.71/1.08 selectoldest = 5
% 0.71/1.08
% 0.71/1.08 litorderings [0] = split
% 0.71/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.08
% 0.71/1.08 termordering = kbo
% 0.71/1.08
% 0.71/1.08 litapriori = 0
% 0.71/1.08 termapriori = 1
% 0.71/1.08 litaposteriori = 0
% 0.71/1.08 termaposteriori = 0
% 0.71/1.08 demodaposteriori = 0
% 0.71/1.08 ordereqreflfact = 0
% 0.71/1.08
% 0.71/1.08 litselect = negord
% 0.71/1.08
% 0.71/1.08 maxweight = 15
% 0.71/1.08 maxdepth = 30000
% 0.71/1.08 maxlength = 115
% 0.71/1.08 maxnrvars = 195
% 0.71/1.08 excuselevel = 1
% 0.71/1.08 increasemaxweight = 1
% 0.71/1.08
% 0.71/1.08 maxselected = 10000000
% 0.71/1.08 maxnrclauses = 10000000
% 0.71/1.08
% 0.71/1.08 showgenerated = 0
% 0.71/1.08 showkept = 0
% 0.71/1.08 showselected = 0
% 0.71/1.08 showdeleted = 0
% 0.71/1.08 showresimp = 1
% 0.71/1.08 showstatus = 2000
% 0.71/1.08
% 0.71/1.08 prologoutput = 1
% 0.71/1.08 nrgoals = 5000000
% 0.71/1.08 totalproof = 1
% 0.71/1.08
% 0.71/1.08 Symbols occurring in the translation:
% 0.71/1.08
% 0.71/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.08 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.08 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.71/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.08 b [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.71/1.08 apply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.71/1.08 t [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.08 x [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.71/1.08 y [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.71/1.08 z [47, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Starting Search:
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Bliksems!, er is een bewijs:
% 0.71/1.08 % SZS status Unsatisfiable
% 0.71/1.08 % SZS output start Refutation
% 0.71/1.08
% 0.71/1.08 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.71/1.08 Z ) ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 2, [] )
% 0.71/1.08 .
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 % SZS output end Refutation
% 0.71/1.08 found a proof!
% 0.71/1.08
% 0.71/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.08
% 0.71/1.08 initialclauses(
% 0.71/1.08 [ clause( 4, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.71/1.08 , Z ) ) ) ] )
% 0.71/1.08 , clause( 5, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.71/1.08 , clause( 6, [ ~( =( apply( apply( apply( apply( apply( b, apply( apply( b
% 0.71/1.08 , apply( apply( b, apply( t, t ) ), b ) ), b ) ), t ), x ), y ), z ),
% 0.71/1.08 apply( apply( z, y ), x ) ) ) ] )
% 0.71/1.08 ] ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.71/1.08 Z ) ) ) ] )
% 0.71/1.08 , clause( 4, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.71/1.08 , Z ) ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.71/1.08 , clause( 5, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 39, [ ~( =( apply( apply( apply( apply( apply( b, apply( apply( b,
% 0.71/1.08 apply( t, t ) ), b ) ), b ), apply( t, x ) ), y ), z ), apply( apply( z,
% 0.71/1.08 y ), x ) ) ) ] )
% 0.71/1.08 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.71/1.08 , Z ) ) ) ] )
% 0.71/1.08 , 0, clause( 6, [ ~( =( apply( apply( apply( apply( apply( b, apply( apply(
% 0.71/1.08 b, apply( apply( b, apply( t, t ) ), b ) ), b ) ), t ), x ), y ), z ),
% 0.71/1.08 apply( apply( z, y ), x ) ) ) ] )
% 0.71/1.08 , 0, 4, substitution( 0, [ :=( X, apply( apply( b, apply( apply( b, apply(
% 0.71/1.08 t, t ) ), b ) ), b ) ), :=( Y, t ), :=( Z, x )] ), substitution( 1, [] )
% 0.71/1.08 ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 42, [ ~( =( apply( apply( apply( apply( apply( b, apply( t, t ) ),
% 0.71/1.08 b ), apply( b, apply( t, x ) ) ), y ), z ), apply( apply( z, y ), x ) ) )
% 0.71/1.08 ] )
% 0.71/1.08 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.71/1.08 , Z ) ) ) ] )
% 0.71/1.08 , 0, clause( 39, [ ~( =( apply( apply( apply( apply( apply( b, apply( apply(
% 0.71/1.08 b, apply( t, t ) ), b ) ), b ), apply( t, x ) ), y ), z ), apply( apply(
% 0.71/1.08 z, y ), x ) ) ) ] )
% 0.71/1.08 , 0, 4, substitution( 0, [ :=( X, apply( apply( b, apply( t, t ) ), b ) ),
% 0.71/1.08 :=( Y, b ), :=( Z, apply( t, x ) )] ), substitution( 1, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 44, [ ~( =( apply( apply( apply( apply( t, t ), apply( b, apply( b
% 0.71/1.08 , apply( t, x ) ) ) ), y ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.71/1.08 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.71/1.08 , Z ) ) ) ] )
% 0.71/1.08 , 0, clause( 42, [ ~( =( apply( apply( apply( apply( apply( b, apply( t, t
% 0.71/1.08 ) ), b ), apply( b, apply( t, x ) ) ), y ), z ), apply( apply( z, y ), x
% 0.71/1.08 ) ) ) ] )
% 0.71/1.08 , 0, 4, substitution( 0, [ :=( X, apply( t, t ) ), :=( Y, b ), :=( Z, apply(
% 0.71/1.08 b, apply( t, x ) ) )] ), substitution( 1, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 45, [ ~( =( apply( apply( apply( apply( b, apply( b, apply( t, x )
% 0.71/1.08 ) ), t ), y ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.71/1.08 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.71/1.08 , 0, clause( 44, [ ~( =( apply( apply( apply( apply( t, t ), apply( b,
% 0.71/1.08 apply( b, apply( t, x ) ) ) ), y ), z ), apply( apply( z, y ), x ) ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, 4, substitution( 0, [ :=( X, t ), :=( Y, apply( b, apply( b, apply( t
% 0.71/1.08 , x ) ) ) )] ), substitution( 1, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 46, [ ~( =( apply( apply( apply( b, apply( t, x ) ), apply( t, y )
% 0.71/1.08 ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.71/1.08 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.71/1.08 , Z ) ) ) ] )
% 0.71/1.08 , 0, clause( 45, [ ~( =( apply( apply( apply( apply( b, apply( b, apply( t
% 0.71/1.08 , x ) ) ), t ), y ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.71/1.08 , 0, 3, substitution( 0, [ :=( X, apply( b, apply( t, x ) ) ), :=( Y, t ),
% 0.71/1.08 :=( Z, y )] ), substitution( 1, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 48, [ ~( =( apply( apply( t, x ), apply( apply( t, y ), z ) ),
% 0.71/1.08 apply( apply( z, y ), x ) ) ) ] )
% 0.71/1.08 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.71/1.08 , Z ) ) ) ] )
% 0.71/1.08 , 0, clause( 46, [ ~( =( apply( apply( apply( b, apply( t, x ) ), apply( t
% 0.71/1.08 , y ) ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.71/1.08 , 0, 2, substitution( 0, [ :=( X, apply( t, x ) ), :=( Y, apply( t, y ) ),
% 0.71/1.08 :=( Z, z )] ), substitution( 1, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 50, [ ~( =( apply( apply( t, x ), apply( z, y ) ), apply( apply( z
% 0.71/1.08 , y ), x ) ) ) ] )
% 0.71/1.08 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.71/1.08 , 0, clause( 48, [ ~( =( apply( apply( t, x ), apply( apply( t, y ), z ) )
% 0.71/1.08 , apply( apply( z, y ), x ) ) ) ] )
% 0.71/1.08 , 0, 6, substitution( 0, [ :=( X, y ), :=( Y, z )] ), substitution( 1, [] )
% 0.71/1.08 ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 52, [ ~( =( apply( apply( z, y ), x ), apply( apply( z, y ), x ) )
% 0.71/1.08 ) ] )
% 0.71/1.08 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.71/1.08 , 0, clause( 50, [ ~( =( apply( apply( t, x ), apply( z, y ) ), apply(
% 0.71/1.08 apply( z, y ), x ) ) ) ] )
% 0.71/1.08 , 0, 2, substitution( 0, [ :=( X, x ), :=( Y, apply( z, y ) )] ),
% 0.71/1.08 substitution( 1, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqrefl(
% 0.71/1.08 clause( 53, [] )
% 0.71/1.08 , clause( 52, [ ~( =( apply( apply( z, y ), x ), apply( apply( z, y ), x )
% 0.71/1.08 ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 2, [] )
% 0.71/1.08 , clause( 53, [] )
% 0.71/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 end.
% 0.71/1.08
% 0.71/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.08
% 0.71/1.08 Memory use:
% 0.71/1.08
% 0.71/1.08 space for terms: 141
% 0.71/1.08 space for clauses: 316
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 clauses generated: 3
% 0.71/1.08 clauses kept: 3
% 0.71/1.08 clauses selected: 0
% 0.71/1.08 clauses deleted: 0
% 0.71/1.08 clauses inuse deleted: 0
% 0.71/1.08
% 0.71/1.08 subsentry: 109
% 0.71/1.08 literals s-matched: 37
% 0.71/1.08 literals matched: 37
% 0.71/1.08 full subsumption: 0
% 0.71/1.08
% 0.71/1.08 checksum: -1996488373
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Bliksem ended
%------------------------------------------------------------------------------