TSTP Solution File: COL066-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL066-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 0.39s 1.05s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL066-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Tue May 31 05:10:44 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.39/1.05 *** allocated 10000 integers for termspace/termends
% 0.39/1.05 *** allocated 10000 integers for clauses
% 0.39/1.05 *** allocated 10000 integers for justifications
% 0.39/1.05 Bliksem 1.12
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 Automatic Strategy Selection
% 0.39/1.05
% 0.39/1.05 Clauses:
% 0.39/1.05 [
% 0.39/1.05 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.39/1.05 ],
% 0.39/1.05 [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X, Z ) ) )
% 0.39/1.05 ],
% 0.39/1.05 [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ],
% 0.39/1.05 [ ~( =( apply( apply( apply( apply( apply( apply( b, apply( w, apply( q
% 0.39/1.05 , apply( q, q ) ) ) ), q ), x ), y ), y ), z ), apply( apply( x, y ),
% 0.39/1.05 apply( apply( x, y ), z ) ) ) ) ]
% 0.39/1.05 ] .
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 percentage equality = 1.000000, percentage horn = 1.000000
% 0.39/1.05 This is a pure equality problem
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 Options Used:
% 0.39/1.05
% 0.39/1.05 useres = 1
% 0.39/1.05 useparamod = 1
% 0.39/1.05 useeqrefl = 1
% 0.39/1.05 useeqfact = 1
% 0.39/1.05 usefactor = 1
% 0.39/1.05 usesimpsplitting = 0
% 0.39/1.05 usesimpdemod = 5
% 0.39/1.05 usesimpres = 3
% 0.39/1.05
% 0.39/1.05 resimpinuse = 1000
% 0.39/1.05 resimpclauses = 20000
% 0.39/1.05 substype = eqrewr
% 0.39/1.05 backwardsubs = 1
% 0.39/1.05 selectoldest = 5
% 0.39/1.05
% 0.39/1.05 litorderings [0] = split
% 0.39/1.05 litorderings [1] = extend the termordering, first sorting on arguments
% 0.39/1.05
% 0.39/1.05 termordering = kbo
% 0.39/1.05
% 0.39/1.05 litapriori = 0
% 0.39/1.05 termapriori = 1
% 0.39/1.05 litaposteriori = 0
% 0.39/1.05 termaposteriori = 0
% 0.39/1.05 demodaposteriori = 0
% 0.39/1.05 ordereqreflfact = 0
% 0.39/1.05
% 0.39/1.05 litselect = negord
% 0.39/1.05
% 0.39/1.05 maxweight = 15
% 0.39/1.05 maxdepth = 30000
% 0.39/1.05 maxlength = 115
% 0.39/1.05 maxnrvars = 195
% 0.39/1.05 excuselevel = 1
% 0.39/1.05 increasemaxweight = 1
% 0.39/1.05
% 0.39/1.05 maxselected = 10000000
% 0.39/1.05 maxnrclauses = 10000000
% 0.39/1.05
% 0.39/1.05 showgenerated = 0
% 0.39/1.05 showkept = 0
% 0.39/1.05 showselected = 0
% 0.39/1.05 showdeleted = 0
% 0.39/1.05 showresimp = 1
% 0.39/1.05 showstatus = 2000
% 0.39/1.05
% 0.39/1.05 prologoutput = 1
% 0.39/1.05 nrgoals = 5000000
% 0.39/1.05 totalproof = 1
% 0.39/1.05
% 0.39/1.05 Symbols occurring in the translation:
% 0.39/1.05
% 0.39/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.39/1.05 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.39/1.05 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.39/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.39/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.39/1.05 b [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.39/1.05 apply [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.39/1.05 q [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.39/1.05 w [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.39/1.05 x [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.39/1.05 y [47, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.39/1.05 z [48, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 Starting Search:
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 Bliksems!, er is een bewijs:
% 0.39/1.05 % SZS status Unsatisfiable
% 0.39/1.05 % SZS output start Refutation
% 0.39/1.05
% 0.39/1.05 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.39/1.05 Z ) ) ) ] )
% 0.39/1.05 .
% 0.39/1.05 clause( 1, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X,
% 0.39/1.05 Z ) ) ) ] )
% 0.39/1.05 .
% 0.39/1.05 clause( 2, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 0.39/1.05 .
% 0.39/1.05 clause( 3, [ ~( =( apply( apply( apply( apply( apply( w, apply( q, apply( q
% 0.39/1.05 , q ) ) ), apply( q, x ) ), y ), y ), z ), apply( apply( x, y ), apply(
% 0.39/1.05 apply( x, y ), z ) ) ) ) ] )
% 0.39/1.05 .
% 0.39/1.05 clause( 18, [] )
% 0.39/1.05 .
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 % SZS output end Refutation
% 0.39/1.05 found a proof!
% 0.39/1.05
% 0.39/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.39/1.05
% 0.39/1.05 initialclauses(
% 0.39/1.05 [ clause( 20, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.39/1.05 Y, Z ) ) ) ] )
% 0.39/1.05 , clause( 21, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply(
% 0.39/1.05 X, Z ) ) ) ] )
% 0.39/1.05 , clause( 22, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.39/1.05 )
% 0.39/1.05 , clause( 23, [ ~( =( apply( apply( apply( apply( apply( apply( b, apply( w
% 0.39/1.05 , apply( q, apply( q, q ) ) ) ), q ), x ), y ), y ), z ), apply( apply( x
% 0.39/1.05 , y ), apply( apply( x, y ), z ) ) ) ) ] )
% 0.39/1.05 ] ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.39/1.05 Z ) ) ) ] )
% 0.39/1.05 , clause( 20, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.39/1.05 Y, Z ) ) ) ] )
% 0.39/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.39/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 1, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X,
% 0.39/1.05 Z ) ) ) ] )
% 0.39/1.05 , clause( 21, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply(
% 0.39/1.05 X, Z ) ) ) ] )
% 0.39/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.39/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 2, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 0.39/1.05 , clause( 22, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.39/1.05 )
% 0.39/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/1.05 )] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 paramod(
% 0.39/1.05 clause( 40, [ ~( =( apply( apply( apply( apply( apply( w, apply( q, apply(
% 0.39/1.05 q, q ) ) ), apply( q, x ) ), y ), y ), z ), apply( apply( x, y ), apply(
% 0.39/1.05 apply( x, y ), z ) ) ) ) ] )
% 0.39/1.05 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.39/1.05 , Z ) ) ) ] )
% 0.39/1.05 , 0, clause( 23, [ ~( =( apply( apply( apply( apply( apply( apply( b, apply(
% 0.39/1.05 w, apply( q, apply( q, q ) ) ) ), q ), x ), y ), y ), z ), apply( apply(
% 0.39/1.05 x, y ), apply( apply( x, y ), z ) ) ) ) ] )
% 0.39/1.05 , 0, 5, substitution( 0, [ :=( X, apply( w, apply( q, apply( q, q ) ) ) ),
% 0.39/1.05 :=( Y, q ), :=( Z, x )] ), substitution( 1, [] )).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 3, [ ~( =( apply( apply( apply( apply( apply( w, apply( q, apply( q
% 0.39/1.05 , q ) ) ), apply( q, x ) ), y ), y ), z ), apply( apply( x, y ), apply(
% 0.39/1.05 apply( x, y ), z ) ) ) ) ] )
% 0.39/1.05 , clause( 40, [ ~( =( apply( apply( apply( apply( apply( w, apply( q, apply(
% 0.39/1.05 q, q ) ) ), apply( q, x ) ), y ), y ), z ), apply( apply( x, y ), apply(
% 0.39/1.05 apply( x, y ), z ) ) ) ) ] )
% 0.39/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 eqswap(
% 0.39/1.05 clause( 43, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.39/1.05 apply( apply( apply( apply( apply( w, apply( q, apply( q, q ) ) ), apply(
% 0.39/1.05 q, x ) ), y ), y ), z ) ) ) ] )
% 0.39/1.05 , clause( 3, [ ~( =( apply( apply( apply( apply( apply( w, apply( q, apply(
% 0.39/1.05 q, q ) ) ), apply( q, x ) ), y ), y ), z ), apply( apply( x, y ), apply(
% 0.39/1.05 apply( x, y ), z ) ) ) ) ] )
% 0.39/1.05 , 0, substitution( 0, [] )).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 paramod(
% 0.39/1.05 clause( 51, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.39/1.05 apply( apply( apply( apply( apply( apply( q, apply( q, q ) ), apply( q, x
% 0.39/1.05 ) ), apply( q, x ) ), y ), y ), z ) ) ) ] )
% 0.39/1.05 , clause( 2, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.39/1.05 )
% 0.39/1.05 , 0, clause( 43, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) )
% 0.39/1.05 , apply( apply( apply( apply( apply( w, apply( q, apply( q, q ) ) ),
% 0.39/1.05 apply( q, x ) ), y ), y ), z ) ) ) ] )
% 0.39/1.05 , 0, 14, substitution( 0, [ :=( X, apply( q, apply( q, q ) ) ), :=( Y,
% 0.39/1.05 apply( q, x ) )] ), substitution( 1, [] )).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 paramod(
% 0.39/1.05 clause( 52, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.39/1.05 apply( apply( apply( apply( apply( q, x ), apply( apply( q, q ), apply( q
% 0.39/1.05 , x ) ) ), y ), y ), z ) ) ) ] )
% 0.39/1.05 , clause( 1, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X
% 0.39/1.05 , Z ) ) ) ] )
% 0.39/1.05 , 0, clause( 51, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) )
% 0.39/1.05 , apply( apply( apply( apply( apply( apply( q, apply( q, q ) ), apply( q
% 0.39/1.05 , x ) ), apply( q, x ) ), y ), y ), z ) ) ) ] )
% 0.39/1.05 , 0, 14, substitution( 0, [ :=( X, apply( q, q ) ), :=( Y, apply( q, x ) )
% 0.39/1.05 , :=( Z, apply( q, x ) )] ), substitution( 1, [] )).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 paramod(
% 0.39/1.05 clause( 57, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.39/1.05 apply( apply( apply( apply( apply( q, q ), apply( q, x ) ), apply( x, y )
% 0.39/1.05 ), y ), z ) ) ) ] )
% 0.39/1.05 , clause( 1, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X
% 0.39/1.05 , Z ) ) ) ] )
% 0.39/1.05 , 0, clause( 52, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) )
% 0.39/1.05 , apply( apply( apply( apply( apply( q, x ), apply( apply( q, q ), apply(
% 0.39/1.05 q, x ) ) ), y ), y ), z ) ) ) ] )
% 0.39/1.05 , 0, 13, substitution( 0, [ :=( X, x ), :=( Y, apply( apply( q, q ), apply(
% 0.39/1.05 q, x ) ) ), :=( Z, y )] ), substitution( 1, [] )).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 paramod(
% 0.39/1.05 clause( 61, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.39/1.05 apply( apply( apply( apply( q, x ), apply( q, apply( x, y ) ) ), y ), z )
% 0.39/1.05 ) ) ] )
% 0.39/1.05 , clause( 1, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X
% 0.39/1.05 , Z ) ) ) ] )
% 0.39/1.05 , 0, clause( 57, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) )
% 0.39/1.05 , apply( apply( apply( apply( apply( q, q ), apply( q, x ) ), apply( x, y
% 0.39/1.05 ) ), y ), z ) ) ) ] )
% 0.39/1.05 , 0, 13, substitution( 0, [ :=( X, q ), :=( Y, apply( q, x ) ), :=( Z,
% 0.39/1.05 apply( x, y ) )] ), substitution( 1, [] )).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 paramod(
% 0.39/1.05 clause( 64, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.39/1.05 apply( apply( apply( q, apply( x, y ) ), apply( x, y ) ), z ) ) ) ] )
% 0.39/1.05 , clause( 1, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X
% 0.39/1.05 , Z ) ) ) ] )
% 0.39/1.05 , 0, clause( 61, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) )
% 0.39/1.05 , apply( apply( apply( apply( q, x ), apply( q, apply( x, y ) ) ), y ), z
% 0.39/1.05 ) ) ) ] )
% 0.39/1.05 , 0, 12, substitution( 0, [ :=( X, x ), :=( Y, apply( q, apply( x, y ) ) )
% 0.39/1.05 , :=( Z, y )] ), substitution( 1, [] )).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 paramod(
% 0.39/1.05 clause( 66, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.39/1.05 apply( apply( x, y ), apply( apply( x, y ), z ) ) ) ) ] )
% 0.39/1.05 , clause( 1, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X
% 0.39/1.05 , Z ) ) ) ] )
% 0.39/1.05 , 0, clause( 64, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) )
% 0.39/1.05 , apply( apply( apply( q, apply( x, y ) ), apply( x, y ) ), z ) ) ) ] )
% 0.39/1.05 , 0, 11, substitution( 0, [ :=( X, apply( x, y ) ), :=( Y, apply( x, y ) )
% 0.39/1.05 , :=( Z, z )] ), substitution( 1, [] )).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 eqrefl(
% 0.39/1.05 clause( 67, [] )
% 0.39/1.05 , clause( 66, [ ~( =( apply( apply( x, y ), apply( apply( x, y ), z ) ),
% 0.39/1.05 apply( apply( x, y ), apply( apply( x, y ), z ) ) ) ) ] )
% 0.39/1.05 , 0, substitution( 0, [] )).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 subsumption(
% 0.39/1.05 clause( 18, [] )
% 0.39/1.05 , clause( 67, [] )
% 0.39/1.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 end.
% 0.39/1.05
% 0.39/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.39/1.05
% 0.39/1.05 Memory use:
% 0.39/1.05
% 0.39/1.05 space for terms: 420
% 0.39/1.05 space for clauses: 2350
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 clauses generated: 105
% 0.39/1.05 clauses kept: 19
% 0.39/1.05 clauses selected: 6
% 0.39/1.05 clauses deleted: 0
% 0.39/1.05 clauses inuse deleted: 0
% 0.39/1.05
% 0.39/1.05 subsentry: 117
% 0.39/1.05 literals s-matched: 47
% 0.39/1.05 literals matched: 47
% 0.39/1.05 full subsumption: 0
% 0.39/1.05
% 0.39/1.05 checksum: -1445923887
% 0.39/1.05
% 0.39/1.05
% 0.39/1.05 Bliksem ended
%------------------------------------------------------------------------------