%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL066-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 00:12:35 EDT 2022
% Result : Unsatisfiable 0.67s 1.09s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL066-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue May 31 04:13:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.67/1.09 *** allocated 10000 integers for termspace/termends
% 0.67/1.09 *** allocated 10000 integers for clauses
% 0.67/1.09 *** allocated 10000 integers for justifications
% 0.67/1.09 Bliksem 1.12
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 Automatic Strategy Selection
% 0.67/1.09
% 0.67/1.09 Clauses:
% 0.67/1.09 [
% 0.67/1.09 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.67/1.09 ],
% 0.67/1.09 [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X, Z ) ) )
% 0.67/1.09 ],
% 0.67/1.09 [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ],
% 0.67/1.09 [ ~( =( apply( apply( apply( apply( apply( apply( q, q ), apply( w,
% 0.67/1.09 apply( q, apply( q, q ) ) ) ), x ), y ), y ), z ), apply( apply( x, y ),
% 0.67/1.09 apply( apply( x, y ), z ) ) ) ) ]
% 0.67/1.09 ] .
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.67/1.09 This is a pure equality problem
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 Options Used:
% 0.67/1.09
% 0.67/1.09 useres = 1
% 0.67/1.09 useparamod = 1
% 0.67/1.09 useeqrefl = 1
% 0.67/1.09 useeqfact = 1
% 0.67/1.09 usefactor = 1
% 0.67/1.09 usesimpsplitting = 0
% 0.67/1.09 usesimpdemod = 5
% 0.67/1.09 usesimpres = 3
% 0.67/1.09
% 0.67/1.09 resimpinuse = 1000
% 0.67/1.09 resimpclauses = 20000
% 0.67/1.09 substype = eqrewr
% 0.67/1.09 backwardsubs = 1
% 0.67/1.09 selectoldest = 5
% 0.67/1.09
% 0.67/1.09 litorderings [0] = split
% 0.67/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.67/1.09
% 0.67/1.09 termordering = kbo
% 0.67/1.09
% 0.67/1.09 litapriori = 0
% 0.67/1.09 termapriori = 1
% 0.67/1.09 litaposteriori = 0
% 0.67/1.09 termaposteriori = 0
% 0.67/1.09 demodaposteriori = 0
% 0.67/1.09 ordereqreflfact = 0
% 0.67/1.09
% 0.67/1.09 litselect = negord
% 0.67/1.09
% 0.67/1.09 maxweight = 15
% 0.67/1.09 maxdepth = 30000
% 0.67/1.09 maxlength = 115
% 0.67/1.09 maxnrvars = 195
% 0.67/1.09 excuselevel = 1
% 0.67/1.09 increasemaxweight = 1
% 0.67/1.09
% 0.67/1.09 maxselected = 10000000
% 0.67/1.09 maxnrclauses = 10000000
% 0.67/1.09
% 0.67/1.09 showgenerated = 0
% 0.67/1.09 showkept = 0
% 0.67/1.09 showselected = 0
% 0.67/1.09 showdeleted = 0
% 0.67/1.09 showresimp = 1
% 0.67/1.09 showstatus = 2000
% 0.67/1.09
% 0.67/1.09 prologoutput = 1
% 0.67/1.09 nrgoals = 5000000
% 0.67/1.09 totalproof = 1
% 0.67/1.09
% 0.67/1.09 Symbols occurring in the translation:
% 0.67/1.09
% 0.67/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.67/1.09 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.67/1.09 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.67/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.67/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.67/1.09 b [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.67/1.09 apply [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.67/1.09 q [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.67/1.09 w [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.67/1.09 x [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.67/1.09 y [47, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.67/1.09 z [48, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 Starting Search:
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 Bliksems!, er is een bewijs:
% 0.67/1.09 % SZS status Unsatisfiable
% 0.67/1.09 % SZS output start Refutation
% 0.67/1.09
% 0.67/1.09 clause( 1, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X,
% 0.67/1.09 Z ) ) ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 2, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 3, [ ~( =( apply( apply( apply( apply( apply( w, apply( q, apply( q
% 0.67/1.09 , q ) ) ), apply( q, x ) ), y ), y ), z ), apply( apply( x, y ), apply(
% 0.67/1.09 apply( x, y ), z ) ) ) ) ] )
% 0.67/1.09 .
% 0.67/1.09 clause( 18, [] )
% 0.67/1.09 .
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 % SZS output end Refutation
% 0.67/1.09 found a proof!
% 0.67/1.09
% 0.67/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.67/1.09
% 0.67/1.09 initialclauses(
% 0.67/1.09 [ clause( 20, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.67/1.09 Y, Z ) ) ) ] )
% 0.67/1.09 , clause( 21, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply(
% 0.67/1.09 X, Z ) ) ) ] )
% 0.67/1.09 , clause( 22, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.67/1.09 )
% 0.67/1.09 , clause( 23, [ ~( =( apply( apply( apply( apply( apply( apply( q, q ),
% 0.67/1.09 apply( w, apply( q, apply( q, q ) ) ) ), x ), y ), y ), z ), apply( apply(
% 0.67/1.09 x, y ), apply( apply( x, y ), z ) ) ) ) ] )
% 0.67/1.09 ] ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 1, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X,
% 0.67/1.09 Z ) ) ) ] )
% 0.67/1.09 , clause( 21, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply(
% 0.67/1.09 X, Z ) ) ) ] )
% 0.67/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.67/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 2, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 0.67/1.09 , clause( 22, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.67/1.09 )
% 0.67/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.09 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 39, [ ~( =( apply( apply( apply( apply( apply( w, apply( q, apply(
% 0.67/1.09 q, q ) ) ), apply( q, x ) ), y ), y ), z ), apply( apply( x, y ), apply(
% 0.67/1.09 apply( x, y ), z ) ) ) ) ] )
% 0.67/1.09 , clause( 1, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X
% 0.67/1.09 , Z ) ) ) ] )
% 0.67/1.09 , 0, clause( 23, [ ~( =( apply( apply( apply( apply( apply( apply( q, q ),
% 0.67/1.09 apply( w, apply( q, apply( q, q ) ) ) ), x ), y ), y ), z ), apply( apply(
% 0.67/1.09 x, y ), apply( apply( x, y ), z ) ) ) ) ] )
% 0.67/1.09 , 0, 5, substitution( 0, [ :=( X, q ), :=( Y, apply( w, apply( q, apply( q
% 0.67/1.09 , q ) ) ) ), :=( Z, x )] ), substitution( 1, [] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 3, [ ~( =( apply( apply( apply( apply( apply( w, apply( q, apply( q
% 0.67/1.09 , q ) ) ), apply( q, x ) ), y ), y ), z ), apply( apply( x, y ), apply(
% 0.67/1.09 apply( x, y ), z ) ) ) ) ] )
% 0.67/1.09 , clause( 39, [ ~( =( apply( apply( apply( apply( apply( w, apply( q, apply(
% 0.67/1.09 q, q ) ) ), apply( q, x ) ), y ), y ), z ), apply( apply( x, y ), apply(
% 0.67/1.09 apply( x, y ), z ) ) ) ) ] )
% 0.67/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqswap(
% 0.67/1.09 clause( 42, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.67/1.09 apply( apply( apply( apply( apply( w, apply( q, apply( q, q ) ) ), apply(
% 0.67/1.09 q, x ) ), y ), y ), z ) ) ) ] )
% 0.67/1.09 , clause( 3, [ ~( =( apply( apply( apply( apply( apply( w, apply( q, apply(
% 0.67/1.09 q, q ) ) ), apply( q, x ) ), y ), y ), z ), apply( apply( x, y ), apply(
% 0.67/1.09 apply( x, y ), z ) ) ) ) ] )
% 0.67/1.09 , 0, substitution( 0, [] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 50, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.67/1.09 apply( apply( apply( apply( apply( apply( q, apply( q, q ) ), apply( q, x
% 0.67/1.09 ) ), apply( q, x ) ), y ), y ), z ) ) ) ] )
% 0.67/1.09 , clause( 2, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.67/1.09 )
% 0.67/1.09 , 0, clause( 42, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) )
% 0.67/1.09 , apply( apply( apply( apply( apply( w, apply( q, apply( q, q ) ) ),
% 0.67/1.09 apply( q, x ) ), y ), y ), z ) ) ) ] )
% 0.67/1.09 , 0, 14, substitution( 0, [ :=( X, apply( q, apply( q, q ) ) ), :=( Y,
% 0.67/1.09 apply( q, x ) )] ), substitution( 1, [] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 51, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.67/1.09 apply( apply( apply( apply( apply( q, x ), apply( apply( q, q ), apply( q
% 0.67/1.09 , x ) ) ), y ), y ), z ) ) ) ] )
% 0.67/1.09 , clause( 1, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X
% 0.67/1.09 , Z ) ) ) ] )
% 0.67/1.09 , 0, clause( 50, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) )
% 0.67/1.09 , apply( apply( apply( apply( apply( apply( q, apply( q, q ) ), apply( q
% 0.67/1.09 , x ) ), apply( q, x ) ), y ), y ), z ) ) ) ] )
% 0.67/1.09 , 0, 14, substitution( 0, [ :=( X, apply( q, q ) ), :=( Y, apply( q, x ) )
% 0.67/1.09 , :=( Z, apply( q, x ) )] ), substitution( 1, [] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 56, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.67/1.09 apply( apply( apply( apply( apply( q, q ), apply( q, x ) ), apply( x, y )
% 0.67/1.09 ), y ), z ) ) ) ] )
% 0.67/1.09 , clause( 1, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X
% 0.67/1.09 , Z ) ) ) ] )
% 0.67/1.09 , 0, clause( 51, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) )
% 0.67/1.09 , apply( apply( apply( apply( apply( q, x ), apply( apply( q, q ), apply(
% 0.67/1.09 q, x ) ) ), y ), y ), z ) ) ) ] )
% 0.67/1.09 , 0, 13, substitution( 0, [ :=( X, x ), :=( Y, apply( apply( q, q ), apply(
% 0.67/1.09 q, x ) ) ), :=( Z, y )] ), substitution( 1, [] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 60, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.67/1.09 apply( apply( apply( apply( q, x ), apply( q, apply( x, y ) ) ), y ), z )
% 0.67/1.09 ) ) ] )
% 0.67/1.09 , clause( 1, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X
% 0.67/1.09 , Z ) ) ) ] )
% 0.67/1.09 , 0, clause( 56, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) )
% 0.67/1.09 , apply( apply( apply( apply( apply( q, q ), apply( q, x ) ), apply( x, y
% 0.67/1.09 ) ), y ), z ) ) ) ] )
% 0.67/1.09 , 0, 13, substitution( 0, [ :=( X, q ), :=( Y, apply( q, x ) ), :=( Z,
% 0.67/1.09 apply( x, y ) )] ), substitution( 1, [] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 63, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.67/1.09 apply( apply( apply( q, apply( x, y ) ), apply( x, y ) ), z ) ) ) ] )
% 0.67/1.09 , clause( 1, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X
% 0.67/1.09 , Z ) ) ) ] )
% 0.67/1.09 , 0, clause( 60, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) )
% 0.67/1.09 , apply( apply( apply( apply( q, x ), apply( q, apply( x, y ) ) ), y ), z
% 0.67/1.09 ) ) ) ] )
% 0.67/1.09 , 0, 12, substitution( 0, [ :=( X, x ), :=( Y, apply( q, apply( x, y ) ) )
% 0.67/1.09 , :=( Z, y )] ), substitution( 1, [] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 paramod(
% 0.67/1.09 clause( 65, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.67/1.09 apply( apply( x, y ), apply( apply( x, y ), z ) ) ) ) ] )
% 0.67/1.09 , clause( 1, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X
% 0.67/1.09 , Z ) ) ) ] )
% 0.67/1.09 , 0, clause( 63, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) )
% 0.67/1.09 , apply( apply( apply( q, apply( x, y ) ), apply( x, y ) ), z ) ) ) ] )
% 0.67/1.09 , 0, 11, substitution( 0, [ :=( X, apply( x, y ) ), :=( Y, apply( x, y ) )
% 0.67/1.09 , :=( Z, z )] ), substitution( 1, [] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 eqrefl(
% 0.67/1.09 clause( 66, [] )
% 0.67/1.09 , clause( 65, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.67/1.09 apply( apply( x, y ), apply( apply( x, y ), z ) ) ) ) ] )
% 0.67/1.09 , 0, substitution( 0, [] )).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 subsumption(
% 0.67/1.09 clause( 18, [] )
% 0.67/1.09 , clause( 66, [] )
% 0.67/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 end.
% 0.67/1.09
% 0.67/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.67/1.09
% 0.67/1.09 Memory use:
% 0.67/1.09
% 0.67/1.09 space for terms: 420
% 0.67/1.09 space for clauses: 2350
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 clauses generated: 105
% 0.67/1.09 clauses kept: 19
% 0.67/1.09 clauses selected: 6
% 0.67/1.09 clauses deleted: 0
% 0.67/1.09 clauses inuse deleted: 0
% 0.67/1.09
% 0.67/1.09 subsentry: 111
% 0.67/1.09 literals s-matched: 44
% 0.67/1.09 literals matched: 44
% 0.67/1.09 full subsumption: 0
% 0.67/1.09
% 0.67/1.09 checksum: 1445923886
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 Bliksem ended
%------------------------------------------------------------------------------