TSTP Solution File: COL060-3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL060-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 00:12:31 EDT 2022
% Result : Unsatisfiable 0.73s 1.09s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL060-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n017.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 15:26:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.73/1.09 *** allocated 10000 integers for termspace/termends
% 0.73/1.09 *** allocated 10000 integers for clauses
% 0.73/1.09 *** allocated 10000 integers for justifications
% 0.73/1.09 Bliksem 1.12
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Automatic Strategy Selection
% 0.73/1.09
% 0.73/1.09 Clauses:
% 0.73/1.09 [
% 0.73/1.09 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.73/1.09 ],
% 0.73/1.09 [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ],
% 0.73/1.09 [ ~( =( apply( apply( apply( apply( apply( b, apply( apply( b, apply( t
% 0.73/1.09 , b ) ), b ) ), t ), x ), y ), z ), apply( y, apply( x, z ) ) ) ) ]
% 0.73/1.09 ] .
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.73/1.09 This is a pure equality problem
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Options Used:
% 0.73/1.09
% 0.73/1.09 useres = 1
% 0.73/1.09 useparamod = 1
% 0.73/1.09 useeqrefl = 1
% 0.73/1.09 useeqfact = 1
% 0.73/1.09 usefactor = 1
% 0.73/1.09 usesimpsplitting = 0
% 0.73/1.09 usesimpdemod = 5
% 0.73/1.09 usesimpres = 3
% 0.73/1.09
% 0.73/1.09 resimpinuse = 1000
% 0.73/1.09 resimpclauses = 20000
% 0.73/1.09 substype = eqrewr
% 0.73/1.09 backwardsubs = 1
% 0.73/1.09 selectoldest = 5
% 0.73/1.09
% 0.73/1.09 litorderings [0] = split
% 0.73/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.09
% 0.73/1.09 termordering = kbo
% 0.73/1.09
% 0.73/1.09 litapriori = 0
% 0.73/1.09 termapriori = 1
% 0.73/1.09 litaposteriori = 0
% 0.73/1.09 termaposteriori = 0
% 0.73/1.09 demodaposteriori = 0
% 0.73/1.09 ordereqreflfact = 0
% 0.73/1.09
% 0.73/1.09 litselect = negord
% 0.73/1.09
% 0.73/1.09 maxweight = 15
% 0.73/1.09 maxdepth = 30000
% 0.73/1.09 maxlength = 115
% 0.73/1.09 maxnrvars = 195
% 0.73/1.09 excuselevel = 1
% 0.73/1.09 increasemaxweight = 1
% 0.73/1.09
% 0.73/1.09 maxselected = 10000000
% 0.73/1.09 maxnrclauses = 10000000
% 0.73/1.09
% 0.73/1.09 showgenerated = 0
% 0.73/1.09 showkept = 0
% 0.73/1.09 showselected = 0
% 0.73/1.09 showdeleted = 0
% 0.73/1.09 showresimp = 1
% 0.73/1.09 showstatus = 2000
% 0.73/1.09
% 0.73/1.09 prologoutput = 1
% 0.73/1.09 nrgoals = 5000000
% 0.73/1.09 totalproof = 1
% 0.73/1.09
% 0.73/1.09 Symbols occurring in the translation:
% 0.73/1.09
% 0.73/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.09 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.09 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.73/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.09 b [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.73/1.09 apply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.73/1.09 t [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.09 x [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.09 y [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.73/1.09 z [47, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Starting Search:
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Bliksems!, er is een bewijs:
% 0.73/1.09 % SZS status Unsatisfiable
% 0.73/1.09 % SZS output start Refutation
% 0.73/1.09
% 0.73/1.09 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.73/1.09 Z ) ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 2, [] )
% 0.73/1.09 .
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 % SZS output end Refutation
% 0.73/1.09 found a proof!
% 0.73/1.09
% 0.73/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.09
% 0.73/1.09 initialclauses(
% 0.73/1.09 [ clause( 4, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.09 , Z ) ) ) ] )
% 0.73/1.09 , clause( 5, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.73/1.09 , clause( 6, [ ~( =( apply( apply( apply( apply( apply( b, apply( apply( b
% 0.73/1.09 , apply( t, b ) ), b ) ), t ), x ), y ), z ), apply( y, apply( x, z ) ) )
% 0.73/1.09 ) ] )
% 0.73/1.09 ] ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.73/1.09 Z ) ) ) ] )
% 0.73/1.09 , clause( 4, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.09 , Z ) ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.73/1.09 , clause( 5, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 33, [ ~( =( apply( apply( apply( apply( apply( b, apply( t, b ) ),
% 0.73/1.09 b ), apply( t, x ) ), y ), z ), apply( y, apply( x, z ) ) ) ) ] )
% 0.73/1.09 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.09 , Z ) ) ) ] )
% 0.73/1.09 , 0, clause( 6, [ ~( =( apply( apply( apply( apply( apply( b, apply( apply(
% 0.73/1.09 b, apply( t, b ) ), b ) ), t ), x ), y ), z ), apply( y, apply( x, z ) )
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , 0, 4, substitution( 0, [ :=( X, apply( apply( b, apply( t, b ) ), b ) ),
% 0.73/1.09 :=( Y, t ), :=( Z, x )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 35, [ ~( =( apply( apply( apply( apply( t, b ), apply( b, apply( t
% 0.73/1.09 , x ) ) ), y ), z ), apply( y, apply( x, z ) ) ) ) ] )
% 0.73/1.09 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.09 , Z ) ) ) ] )
% 0.73/1.09 , 0, clause( 33, [ ~( =( apply( apply( apply( apply( apply( b, apply( t, b
% 0.73/1.09 ) ), b ), apply( t, x ) ), y ), z ), apply( y, apply( x, z ) ) ) ) ] )
% 0.73/1.09 , 0, 4, substitution( 0, [ :=( X, apply( t, b ) ), :=( Y, b ), :=( Z, apply(
% 0.73/1.09 t, x ) )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 36, [ ~( =( apply( apply( apply( apply( b, apply( t, x ) ), b ), y
% 0.73/1.09 ), z ), apply( y, apply( x, z ) ) ) ) ] )
% 0.73/1.09 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.73/1.09 , 0, clause( 35, [ ~( =( apply( apply( apply( apply( t, b ), apply( b,
% 0.73/1.09 apply( t, x ) ) ), y ), z ), apply( y, apply( x, z ) ) ) ) ] )
% 0.73/1.09 , 0, 4, substitution( 0, [ :=( X, b ), :=( Y, apply( b, apply( t, x ) ) )] )
% 0.73/1.09 , substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 37, [ ~( =( apply( apply( apply( t, x ), apply( b, y ) ), z ),
% 0.73/1.09 apply( y, apply( x, z ) ) ) ) ] )
% 0.73/1.09 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.09 , Z ) ) ) ] )
% 0.73/1.09 , 0, clause( 36, [ ~( =( apply( apply( apply( apply( b, apply( t, x ) ), b
% 0.73/1.09 ), y ), z ), apply( y, apply( x, z ) ) ) ) ] )
% 0.73/1.09 , 0, 3, substitution( 0, [ :=( X, apply( t, x ) ), :=( Y, b ), :=( Z, y )] )
% 0.73/1.09 , substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 38, [ ~( =( apply( apply( apply( b, y ), x ), z ), apply( y, apply(
% 0.73/1.09 x, z ) ) ) ) ] )
% 0.73/1.09 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.73/1.09 , 0, clause( 37, [ ~( =( apply( apply( apply( t, x ), apply( b, y ) ), z )
% 0.73/1.09 , apply( y, apply( x, z ) ) ) ) ] )
% 0.73/1.09 , 0, 3, substitution( 0, [ :=( X, x ), :=( Y, apply( b, y ) )] ),
% 0.73/1.09 substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 39, [ ~( =( apply( y, apply( x, z ) ), apply( y, apply( x, z ) ) )
% 0.73/1.09 ) ] )
% 0.73/1.09 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.09 , Z ) ) ) ] )
% 0.73/1.09 , 0, clause( 38, [ ~( =( apply( apply( apply( b, y ), x ), z ), apply( y,
% 0.73/1.09 apply( x, z ) ) ) ) ] )
% 0.73/1.09 , 0, 2, substitution( 0, [ :=( X, y ), :=( Y, x ), :=( Z, z )] ),
% 0.73/1.09 substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqrefl(
% 0.73/1.09 clause( 40, [] )
% 0.73/1.09 , clause( 39, [ ~( =( apply( y, apply( x, z ) ), apply( y, apply( x, z ) )
% 0.73/1.09 ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 2, [] )
% 0.73/1.09 , clause( 40, [] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 end.
% 0.73/1.09
% 0.73/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.09
% 0.73/1.09 Memory use:
% 0.73/1.09
% 0.73/1.09 space for terms: 133
% 0.73/1.09 space for clauses: 312
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 clauses generated: 3
% 0.73/1.09 clauses kept: 3
% 0.73/1.09 clauses selected: 0
% 0.73/1.09 clauses deleted: 0
% 0.73/1.09 clauses inuse deleted: 0
% 0.73/1.09
% 0.73/1.09 subsentry: 82
% 0.73/1.09 literals s-matched: 30
% 0.73/1.09 literals matched: 30
% 0.73/1.09 full subsumption: 0
% 0.73/1.09
% 0.73/1.09 checksum: -1996488210
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Bliksem ended
%------------------------------------------------------------------------------