TSTP Solution File: COL064-7 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL064-7 : 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 0.72s 1.10s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL064-7 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue May 31 15:12:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.10 *** allocated 10000 integers for termspace/termends
% 0.72/1.10 *** allocated 10000 integers for clauses
% 0.72/1.10 *** allocated 10000 integers for justifications
% 0.72/1.10 Bliksem 1.12
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Automatic Strategy Selection
% 0.72/1.10
% 0.72/1.10 Clauses:
% 0.72/1.10 [
% 0.72/1.10 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.72/1.10 ],
% 0.72/1.10 [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ],
% 0.72/1.10 [ ~( =( apply( apply( apply( apply( apply( b, apply( t, apply( apply( b
% 0.72/1.10 , b ), t ) ) ), apply( apply( b, b ), apply( apply( b, t ), t ) ) ), x )
% 0.72/1.10 , y ), z ), apply( apply( z, x ), y ) ) ) ]
% 0.72/1.10 ] .
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.10 This is a pure equality problem
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Options Used:
% 0.72/1.10
% 0.72/1.10 useres = 1
% 0.72/1.10 useparamod = 1
% 0.72/1.10 useeqrefl = 1
% 0.72/1.10 useeqfact = 1
% 0.72/1.10 usefactor = 1
% 0.72/1.10 usesimpsplitting = 0
% 0.72/1.10 usesimpdemod = 5
% 0.72/1.10 usesimpres = 3
% 0.72/1.10
% 0.72/1.10 resimpinuse = 1000
% 0.72/1.10 resimpclauses = 20000
% 0.72/1.10 substype = eqrewr
% 0.72/1.10 backwardsubs = 1
% 0.72/1.10 selectoldest = 5
% 0.72/1.10
% 0.72/1.10 litorderings [0] = split
% 0.72/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.10
% 0.72/1.10 termordering = kbo
% 0.72/1.10
% 0.72/1.10 litapriori = 0
% 0.72/1.10 termapriori = 1
% 0.72/1.10 litaposteriori = 0
% 0.72/1.10 termaposteriori = 0
% 0.72/1.10 demodaposteriori = 0
% 0.72/1.10 ordereqreflfact = 0
% 0.72/1.10
% 0.72/1.10 litselect = negord
% 0.72/1.10
% 0.72/1.10 maxweight = 15
% 0.72/1.10 maxdepth = 30000
% 0.72/1.10 maxlength = 115
% 0.72/1.10 maxnrvars = 195
% 0.72/1.10 excuselevel = 1
% 0.72/1.10 increasemaxweight = 1
% 0.72/1.10
% 0.72/1.10 maxselected = 10000000
% 0.72/1.10 maxnrclauses = 10000000
% 0.72/1.10
% 0.72/1.10 showgenerated = 0
% 0.72/1.10 showkept = 0
% 0.72/1.10 showselected = 0
% 0.72/1.10 showdeleted = 0
% 0.72/1.10 showresimp = 1
% 0.72/1.10 showstatus = 2000
% 0.72/1.10
% 0.72/1.10 prologoutput = 1
% 0.72/1.10 nrgoals = 5000000
% 0.72/1.10 totalproof = 1
% 0.72/1.10
% 0.72/1.10 Symbols occurring in the translation:
% 0.72/1.10
% 0.72/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.10 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.10 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.72/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.10 b [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.72/1.10 apply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.10 t [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.10 x [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.10 y [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.72/1.10 z [47, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Starting Search:
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Bliksems!, er is een bewijs:
% 0.72/1.10 % SZS status Unsatisfiable
% 0.72/1.10 % SZS output start Refutation
% 0.72/1.10
% 0.72/1.10 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.72/1.10 Z ) ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.72/1.10 .
% 0.72/1.10 clause( 2, [] )
% 0.72/1.10 .
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 % SZS output end Refutation
% 0.72/1.10 found a proof!
% 0.72/1.10
% 0.72/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.10
% 0.72/1.10 initialclauses(
% 0.72/1.10 [ clause( 4, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.72/1.10 , Z ) ) ) ] )
% 0.72/1.10 , clause( 5, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.72/1.10 , clause( 6, [ ~( =( apply( apply( apply( apply( apply( b, apply( t, apply(
% 0.72/1.10 apply( b, b ), t ) ) ), apply( apply( b, b ), apply( apply( b, t ), t ) )
% 0.72/1.10 ), x ), y ), z ), apply( apply( z, x ), y ) ) ) ] )
% 0.72/1.10 ] ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.72/1.10 Z ) ) ) ] )
% 0.72/1.10 , clause( 4, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.72/1.10 , Z ) ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.72/1.10 , clause( 5, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.72/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.10 )] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 paramod(
% 0.72/1.10 clause( 45, [ ~( =( apply( apply( apply( apply( t, apply( apply( b, b ), t
% 0.72/1.10 ) ), apply( apply( apply( b, b ), apply( apply( b, t ), t ) ), x ) ), y
% 0.72/1.10 ), z ), apply( apply( z, x ), y ) ) ) ] )
% 0.72/1.10 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.72/1.10 , Z ) ) ) ] )
% 0.72/1.10 , 0, clause( 6, [ ~( =( apply( apply( apply( apply( apply( b, apply( t,
% 0.72/1.10 apply( apply( b, b ), t ) ) ), apply( apply( b, b ), apply( apply( b, t )
% 0.72/1.10 , t ) ) ), x ), y ), z ), apply( apply( z, x ), y ) ) ) ] )
% 0.72/1.10 , 0, 4, substitution( 0, [ :=( X, apply( t, apply( apply( b, b ), t ) ) ),
% 0.72/1.10 :=( Y, apply( apply( b, b ), apply( apply( b, t ), t ) ) ), :=( Z, x )] )
% 0.72/1.10 , substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 paramod(
% 0.72/1.10 clause( 48, [ ~( =( apply( apply( apply( apply( apply( apply( b, b ), apply(
% 0.72/1.10 apply( b, t ), t ) ), x ), apply( apply( b, b ), t ) ), y ), z ), apply(
% 0.72/1.10 apply( z, x ), y ) ) ) ] )
% 0.72/1.10 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.72/1.10 , 0, clause( 45, [ ~( =( apply( apply( apply( apply( t, apply( apply( b, b
% 0.72/1.10 ), t ) ), apply( apply( apply( b, b ), apply( apply( b, t ), t ) ), x )
% 0.72/1.10 ), y ), z ), apply( apply( z, x ), y ) ) ) ] )
% 0.72/1.10 , 0, 4, substitution( 0, [ :=( X, apply( apply( b, b ), t ) ), :=( Y, apply(
% 0.72/1.10 apply( apply( b, b ), apply( apply( b, t ), t ) ), x ) )] ),
% 0.72/1.10 substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 paramod(
% 0.72/1.10 clause( 49, [ ~( =( apply( apply( apply( apply( b, apply( apply( apply( b,
% 0.72/1.10 t ), t ), x ) ), apply( apply( b, b ), t ) ), y ), z ), apply( apply( z,
% 0.72/1.10 x ), y ) ) ) ] )
% 0.72/1.10 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.72/1.10 , Z ) ) ) ] )
% 0.72/1.10 , 0, clause( 48, [ ~( =( apply( apply( apply( apply( apply( apply( b, b ),
% 0.72/1.10 apply( apply( b, t ), t ) ), x ), apply( apply( b, b ), t ) ), y ), z ),
% 0.72/1.10 apply( apply( z, x ), y ) ) ) ] )
% 0.72/1.10 , 0, 5, substitution( 0, [ :=( X, b ), :=( Y, apply( apply( b, t ), t ) ),
% 0.72/1.10 :=( Z, x )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 paramod(
% 0.72/1.10 clause( 56, [ ~( =( apply( apply( apply( apply( b, apply( t, apply( t, x )
% 0.72/1.10 ) ), apply( apply( b, b ), t ) ), y ), z ), apply( apply( z, x ), y ) )
% 0.72/1.10 ) ] )
% 0.72/1.10 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.72/1.10 , Z ) ) ) ] )
% 0.72/1.10 , 0, clause( 49, [ ~( =( apply( apply( apply( apply( b, apply( apply( apply(
% 0.72/1.10 b, t ), t ), x ) ), apply( apply( b, b ), t ) ), y ), z ), apply( apply(
% 0.72/1.10 z, x ), y ) ) ) ] )
% 0.72/1.10 , 0, 7, substitution( 0, [ :=( X, t ), :=( Y, t ), :=( Z, x )] ),
% 0.72/1.10 substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 paramod(
% 0.72/1.10 clause( 60, [ ~( =( apply( apply( apply( t, apply( t, x ) ), apply( apply(
% 0.72/1.10 apply( b, b ), t ), y ) ), z ), apply( apply( z, x ), y ) ) ) ] )
% 0.72/1.10 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.72/1.10 , Z ) ) ) ] )
% 0.72/1.10 , 0, clause( 56, [ ~( =( apply( apply( apply( apply( b, apply( t, apply( t
% 0.72/1.10 , x ) ) ), apply( apply( b, b ), t ) ), y ), z ), apply( apply( z, x ), y
% 0.72/1.10 ) ) ) ] )
% 0.72/1.10 , 0, 3, substitution( 0, [ :=( X, apply( t, apply( t, x ) ) ), :=( Y, apply(
% 0.72/1.10 apply( b, b ), t ) ), :=( Z, y )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 paramod(
% 0.72/1.10 clause( 62, [ ~( =( apply( apply( apply( apply( apply( b, b ), t ), y ),
% 0.72/1.10 apply( t, x ) ), z ), apply( apply( z, x ), y ) ) ) ] )
% 0.72/1.10 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.72/1.10 , 0, clause( 60, [ ~( =( apply( apply( apply( t, apply( t, x ) ), apply(
% 0.72/1.10 apply( apply( b, b ), t ), y ) ), z ), apply( apply( z, x ), y ) ) ) ] )
% 0.72/1.10 , 0, 3, substitution( 0, [ :=( X, apply( t, x ) ), :=( Y, apply( apply(
% 0.72/1.10 apply( b, b ), t ), y ) )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 paramod(
% 0.72/1.10 clause( 63, [ ~( =( apply( apply( apply( b, apply( t, y ) ), apply( t, x )
% 0.72/1.10 ), z ), apply( apply( z, x ), y ) ) ) ] )
% 0.72/1.10 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.72/1.10 , Z ) ) ) ] )
% 0.72/1.10 , 0, clause( 62, [ ~( =( apply( apply( apply( apply( apply( b, b ), t ), y
% 0.72/1.10 ), apply( t, x ) ), z ), apply( apply( z, x ), y ) ) ) ] )
% 0.72/1.10 , 0, 4, substitution( 0, [ :=( X, b ), :=( Y, t ), :=( Z, y )] ),
% 0.72/1.10 substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 paramod(
% 0.72/1.10 clause( 65, [ ~( =( apply( apply( t, y ), apply( apply( t, x ), z ) ),
% 0.72/1.10 apply( apply( z, x ), y ) ) ) ] )
% 0.72/1.10 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.72/1.10 , Z ) ) ) ] )
% 0.72/1.10 , 0, clause( 63, [ ~( =( apply( apply( apply( b, apply( t, y ) ), apply( t
% 0.72/1.10 , x ) ), z ), apply( apply( z, x ), y ) ) ) ] )
% 0.72/1.10 , 0, 2, substitution( 0, [ :=( X, apply( t, y ) ), :=( Y, apply( t, x ) ),
% 0.72/1.10 :=( Z, z )] ), substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 paramod(
% 0.72/1.10 clause( 67, [ ~( =( apply( apply( t, y ), apply( z, x ) ), apply( apply( z
% 0.72/1.10 , x ), y ) ) ) ] )
% 0.72/1.10 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.72/1.10 , 0, clause( 65, [ ~( =( apply( apply( t, y ), apply( apply( t, x ), z ) )
% 0.72/1.10 , apply( apply( z, x ), y ) ) ) ] )
% 0.72/1.10 , 0, 6, substitution( 0, [ :=( X, x ), :=( Y, z )] ), substitution( 1, [] )
% 0.72/1.10 ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 paramod(
% 0.72/1.10 clause( 69, [ ~( =( apply( apply( z, x ), y ), apply( apply( z, x ), y ) )
% 0.72/1.10 ) ] )
% 0.72/1.10 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.72/1.10 , 0, clause( 67, [ ~( =( apply( apply( t, y ), apply( z, x ) ), apply(
% 0.72/1.10 apply( z, x ), y ) ) ) ] )
% 0.72/1.10 , 0, 2, substitution( 0, [ :=( X, y ), :=( Y, apply( z, x ) )] ),
% 0.72/1.10 substitution( 1, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 eqrefl(
% 0.72/1.10 clause( 70, [] )
% 0.72/1.10 , clause( 69, [ ~( =( apply( apply( z, x ), y ), apply( apply( z, x ), y )
% 0.72/1.10 ) ) ] )
% 0.72/1.10 , 0, substitution( 0, [] )).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 subsumption(
% 0.72/1.10 clause( 2, [] )
% 0.72/1.10 , clause( 70, [] )
% 0.72/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 end.
% 0.72/1.10
% 0.72/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.10
% 0.72/1.10 Memory use:
% 0.72/1.10
% 0.72/1.10 space for terms: 149
% 0.72/1.10 space for clauses: 320
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 clauses generated: 3
% 0.72/1.10 clauses kept: 3
% 0.72/1.10 clauses selected: 0
% 0.72/1.10 clauses deleted: 0
% 0.72/1.10 clauses inuse deleted: 0
% 0.72/1.10
% 0.72/1.10 subsentry: 164
% 0.72/1.10 literals s-matched: 47
% 0.72/1.10 literals matched: 47
% 0.72/1.10 full subsumption: 0
% 0.72/1.10
% 0.72/1.10 checksum: -1996488330
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Bliksem ended
%------------------------------------------------------------------------------