%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL003-12 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 00:12:19 EDT 2022
% Result : Unsatisfiable 0.75s 1.20s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL003-12 : TPTP v8.1.0. Released v2.1.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n024.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 06:33:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.20 *** allocated 10000 integers for termspace/termends
% 0.75/1.20 *** allocated 10000 integers for clauses
% 0.75/1.20 *** allocated 10000 integers for justifications
% 0.75/1.20 Bliksem 1.12
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 Automatic Strategy Selection
% 0.75/1.20
% 0.75/1.20 Clauses:
% 0.75/1.20 [
% 0.75/1.20 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.75/1.20 ],
% 0.75/1.20 [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ],
% 0.75/1.20 [ =( 'strong_fixed_point', apply( apply( b, apply( w, w ) ), apply(
% 0.75/1.20 apply( b, w ), apply( apply( b, b ), b ) ) ) ) ],
% 0.75/1.20 [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply( 'fixed_pt',
% 0.75/1.20 apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ]
% 0.75/1.20 ] .
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 percentage equality = 1.000000, percentage horn = 1.000000
% 0.75/1.20 This is a pure equality problem
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 Options Used:
% 0.75/1.20
% 0.75/1.20 useres = 1
% 0.75/1.20 useparamod = 1
% 0.75/1.20 useeqrefl = 1
% 0.75/1.20 useeqfact = 1
% 0.75/1.20 usefactor = 1
% 0.75/1.20 usesimpsplitting = 0
% 0.75/1.20 usesimpdemod = 5
% 0.75/1.20 usesimpres = 3
% 0.75/1.20
% 0.75/1.20 resimpinuse = 1000
% 0.75/1.20 resimpclauses = 20000
% 0.75/1.20 substype = eqrewr
% 0.75/1.20 backwardsubs = 1
% 0.75/1.20 selectoldest = 5
% 0.75/1.20
% 0.75/1.20 litorderings [0] = split
% 0.75/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.20
% 0.75/1.20 termordering = kbo
% 0.75/1.20
% 0.75/1.20 litapriori = 0
% 0.75/1.20 termapriori = 1
% 0.75/1.20 litaposteriori = 0
% 0.75/1.20 termaposteriori = 0
% 0.75/1.20 demodaposteriori = 0
% 0.75/1.20 ordereqreflfact = 0
% 0.75/1.20
% 0.75/1.20 litselect = negord
% 0.75/1.20
% 0.75/1.20 maxweight = 15
% 0.75/1.20 maxdepth = 30000
% 0.75/1.20 maxlength = 115
% 0.75/1.20 maxnrvars = 195
% 0.75/1.20 excuselevel = 1
% 0.75/1.20 increasemaxweight = 1
% 0.75/1.20
% 0.75/1.20 maxselected = 10000000
% 0.75/1.20 maxnrclauses = 10000000
% 0.75/1.20
% 0.75/1.20 showgenerated = 0
% 0.75/1.20 showkept = 0
% 0.75/1.20 showselected = 0
% 0.75/1.20 showdeleted = 0
% 0.75/1.20 showresimp = 1
% 0.75/1.20 showstatus = 2000
% 0.75/1.20
% 0.75/1.20 prologoutput = 1
% 0.75/1.20 nrgoals = 5000000
% 0.75/1.20 totalproof = 1
% 0.75/1.20
% 0.75/1.20 Symbols occurring in the translation:
% 0.75/1.20
% 0.75/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.20 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.75/1.20 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.75/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.20 b [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.75/1.20 apply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.75/1.20 w [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.75/1.20 'strong_fixed_point' [45, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.75/1.20 'fixed_pt' [46, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 Starting Search:
% 0.75/1.20
% 0.75/1.20 Resimplifying inuse:
% 0.75/1.20 Done
% 0.75/1.20
% 0.75/1.20 Failed to find proof!
% 0.75/1.20 maxweight = 15
% 0.75/1.20 maxnrclauses = 10000000
% 0.75/1.20 Generated: 1090
% 0.75/1.20 Kept: 28
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 The strategy used was not complete!
% 0.75/1.20
% 0.75/1.20 Increased maxweight to 16
% 0.75/1.20
% 0.75/1.20 Starting Search:
% 0.75/1.20
% 0.75/1.20 Resimplifying inuse:
% 0.75/1.20 Done
% 0.75/1.20
% 0.75/1.20 Failed to find proof!
% 0.75/1.20 maxweight = 16
% 0.75/1.20 maxnrclauses = 10000000
% 0.75/1.20 Generated: 1090
% 0.75/1.20 Kept: 28
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 The strategy used was not complete!
% 0.75/1.20
% 0.75/1.20 Increased maxweight to 17
% 0.75/1.20
% 0.75/1.20 Starting Search:
% 0.75/1.20
% 0.75/1.20 Resimplifying inuse:
% 0.75/1.20 Done
% 0.75/1.20
% 0.75/1.20 Failed to find proof!
% 0.75/1.20 maxweight = 17
% 0.75/1.20 maxnrclauses = 10000000
% 0.75/1.20 Generated: 3694
% 0.75/1.20 Kept: 75
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 The strategy used was not complete!
% 0.75/1.20
% 0.75/1.20 Increased maxweight to 18
% 0.75/1.20
% 0.75/1.20 Starting Search:
% 0.75/1.20
% 0.75/1.20 Resimplifying inuse:
% 0.75/1.20 Done
% 0.75/1.20
% 0.75/1.20 Failed to find proof!
% 0.75/1.20 maxweight = 18
% 0.75/1.20 maxnrclauses = 10000000
% 0.75/1.20 Generated: 3694
% 0.75/1.20 Kept: 75
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 The strategy used was not complete!
% 0.75/1.20
% 0.75/1.20 Increased maxweight to 19
% 0.75/1.20
% 0.75/1.20 Starting Search:
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 Bliksems!, er is een bewijs:
% 0.75/1.20 % SZS status Unsatisfiable
% 0.75/1.20 % SZS output start Refutation
% 0.75/1.20
% 0.75/1.20 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.75/1.20 Z ) ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 2, [ =( apply( apply( b, apply( w, w ) ), apply( apply( b, w ),
% 0.75/1.20 apply( apply( b, b ), b ) ) ), 'strong_fixed_point' ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.75/1.20 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 11, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 0.75/1.20 , Y ) ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 17, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y ),
% 0.75/1.20 Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 25, [ =( apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 0.75/1.20 ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 139, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.75/1.20 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 .
% 0.75/1.20 clause( 144, [] )
% 0.75/1.20 .
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 % SZS output end Refutation
% 0.75/1.20 found a proof!
% 0.75/1.20
% 0.75/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.20
% 0.75/1.20 initialclauses(
% 0.75/1.20 [ clause( 146, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.75/1.20 Y, Z ) ) ) ] )
% 0.75/1.20 , clause( 147, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 0.75/1.20 ] )
% 0.75/1.20 , clause( 148, [ =( 'strong_fixed_point', apply( apply( b, apply( w, w ) )
% 0.75/1.20 , apply( apply( b, w ), apply( apply( b, b ), b ) ) ) ) ] )
% 0.75/1.20 , clause( 149, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.75/1.20 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.75/1.20 ] ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.75/1.20 Z ) ) ) ] )
% 0.75/1.20 , clause( 146, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.75/1.20 Y, Z ) ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 0.75/1.20 , clause( 147, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 0.75/1.20 ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.20 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 155, [ =( apply( apply( b, apply( w, w ) ), apply( apply( b, w ),
% 0.75/1.20 apply( apply( b, b ), b ) ) ), 'strong_fixed_point' ) ] )
% 0.75/1.20 , clause( 148, [ =( 'strong_fixed_point', apply( apply( b, apply( w, w ) )
% 0.75/1.20 , apply( apply( b, w ), apply( apply( b, b ), b ) ) ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 2, [ =( apply( apply( b, apply( w, w ) ), apply( apply( b, w ),
% 0.75/1.20 apply( apply( b, b ), b ) ) ), 'strong_fixed_point' ) ] )
% 0.75/1.20 , clause( 155, [ =( apply( apply( b, apply( w, w ) ), apply( apply( b, w )
% 0.75/1.20 , apply( apply( b, b ), b ) ) ), 'strong_fixed_point' ) ] )
% 0.75/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 159, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.75/1.20 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.75/1.20 , clause( 149, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.75/1.20 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.75/1.20 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.75/1.20 , clause( 159, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.75/1.20 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.75/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 160, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.75/1.20 )
% 0.75/1.20 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.75/1.20 )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 161, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.75/1.20 )
% 0.75/1.20 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.75/1.20 )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 paramod(
% 0.75/1.20 clause( 164, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) ) ]
% 0.75/1.20 )
% 0.75/1.20 , clause( 160, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 0.75/1.20 ] )
% 0.75/1.20 , 0, clause( 161, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y )
% 0.75/1.20 ) ] )
% 0.75/1.20 , 0, 6, substitution( 0, [ :=( X, w ), :=( Y, X )] ), substitution( 1, [
% 0.75/1.20 :=( X, X ), :=( Y, X )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 170, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 0.75/1.20 )
% 0.75/1.20 , clause( 164, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 0.75/1.20 ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ] )
% 0.75/1.20 , clause( 170, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) )
% 0.75/1.20 ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 171, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.75/1.20 ), Z ) ) ] )
% 0.75/1.20 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.75/1.20 , Z ) ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 172, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.75/1.20 )
% 0.75/1.20 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.75/1.20 )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 paramod(
% 0.75/1.20 clause( 175, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X )
% 0.75/1.20 ), Y ) ) ] )
% 0.75/1.20 , clause( 172, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 0.75/1.20 ] )
% 0.75/1.20 , 0, clause( 171, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.75/1.20 ), Y ), Z ) ) ] )
% 0.75/1.20 , 0, 6, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 0.75/1.20 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 179, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 0.75/1.20 , Y ) ) ) ] )
% 0.75/1.20 , clause( 175, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X
% 0.75/1.20 ) ), Y ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 11, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 0.75/1.20 , Y ) ) ) ] )
% 0.75/1.20 , clause( 179, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply(
% 0.75/1.20 Y, Y ) ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.20 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 181, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X )
% 0.75/1.20 ), Y ) ) ] )
% 0.75/1.20 , clause( 11, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply(
% 0.75/1.20 Y, Y ) ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 182, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.75/1.20 ), Z ) ) ] )
% 0.75/1.20 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.75/1.20 , Z ) ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 paramod(
% 0.75/1.20 clause( 186, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.75/1.20 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.75/1.20 , clause( 181, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X
% 0.75/1.20 ) ), Y ) ) ] )
% 0.75/1.20 , 0, clause( 182, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.75/1.20 ), Y ), Z ) ) ] )
% 0.75/1.20 , 0, 9, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 0.75/1.20 substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Y ) ), :=( Z, Z )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 194, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 0.75/1.20 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.75/1.20 , clause( 186, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.75/1.20 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 17, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y ),
% 0.75/1.20 Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.75/1.20 , clause( 194, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y
% 0.75/1.20 ), Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.20 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 198, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.75/1.20 ), Z ) ) ] )
% 0.75/1.20 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.75/1.20 , Z ) ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 paramod(
% 0.75/1.20 clause( 203, [ =( apply( apply( w, w ), apply( apply( apply( b, w ), apply(
% 0.75/1.20 apply( b, b ), b ) ), X ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 , clause( 2, [ =( apply( apply( b, apply( w, w ) ), apply( apply( b, w ),
% 0.75/1.20 apply( apply( b, b ), b ) ) ), 'strong_fixed_point' ) ] )
% 0.75/1.20 , 0, clause( 198, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.75/1.20 ), Y ), Z ) ) ] )
% 0.75/1.20 , 0, 17, substitution( 0, [] ), substitution( 1, [ :=( X, apply( w, w ) ),
% 0.75/1.20 :=( Y, apply( apply( b, w ), apply( apply( b, b ), b ) ) ), :=( Z, X )] )
% 0.75/1.20 ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 paramod(
% 0.75/1.20 clause( 204, [ =( apply( apply( w, w ), apply( w, apply( apply( apply( b, b
% 0.75/1.20 ), b ), X ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.75/1.20 , Z ) ) ) ] )
% 0.75/1.20 , 0, clause( 203, [ =( apply( apply( w, w ), apply( apply( apply( b, w ),
% 0.75/1.20 apply( apply( b, b ), b ) ), X ) ), apply( 'strong_fixed_point', X ) ) ]
% 0.75/1.20 )
% 0.75/1.20 , 0, 5, substitution( 0, [ :=( X, w ), :=( Y, apply( apply( b, b ), b ) ),
% 0.75/1.20 :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 paramod(
% 0.75/1.20 clause( 206, [ =( apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 0.75/1.20 ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.75/1.20 , Z ) ) ) ] )
% 0.75/1.20 , 0, clause( 204, [ =( apply( apply( w, w ), apply( w, apply( apply( apply(
% 0.75/1.20 b, b ), b ), X ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 , 0, 7, substitution( 0, [ :=( X, b ), :=( Y, b ), :=( Z, X )] ),
% 0.75/1.20 substitution( 1, [ :=( X, X )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 25, [ =( apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 0.75/1.20 ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 , clause( 206, [ =( apply( apply( w, w ), apply( w, apply( b, apply( b, X )
% 0.75/1.20 ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 208, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) ) ]
% 0.75/1.20 )
% 0.75/1.20 , clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 0.75/1.20 )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 209, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.75/1.20 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.75/1.20 , clause( 17, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 0.75/1.20 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 paramod(
% 0.75/1.20 clause( 213, [ =( apply( X, apply( apply( apply( w, apply( b, apply( b, X )
% 0.75/1.20 ) ), apply( w, apply( b, apply( b, X ) ) ) ), apply( w, apply( b, apply(
% 0.75/1.20 b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 0.75/1.20 ) ) ) ] )
% 0.75/1.20 , clause( 208, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 0.75/1.20 ] )
% 0.75/1.20 , 0, clause( 209, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.75/1.20 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.75/1.20 , 0, 26, substitution( 0, [ :=( X, apply( w, apply( b, apply( b, X ) ) ) )] )
% 0.75/1.20 , substitution( 1, [ :=( X, X ), :=( Y, apply( w, apply( b, apply( b, X )
% 0.75/1.20 ) ) ), :=( Z, apply( w, apply( b, apply( b, X ) ) ) )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 paramod(
% 0.75/1.20 clause( 214, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b, apply(
% 0.75/1.20 b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 0.75/1.20 ) ) ) ] )
% 0.75/1.20 , clause( 208, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 0.75/1.20 ] )
% 0.75/1.20 , 0, clause( 213, [ =( apply( X, apply( apply( apply( w, apply( b, apply( b
% 0.75/1.20 , X ) ) ), apply( w, apply( b, apply( b, X ) ) ) ), apply( w, apply( b,
% 0.75/1.20 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 0.75/1.20 , X ) ) ) ) ) ] )
% 0.75/1.20 , 0, 3, substitution( 0, [ :=( X, apply( w, apply( b, apply( b, X ) ) ) )] )
% 0.75/1.20 , substitution( 1, [ :=( X, X )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 paramod(
% 0.75/1.20 clause( 218, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b, apply(
% 0.75/1.20 b, X ) ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 , clause( 25, [ =( apply( apply( w, w ), apply( w, apply( b, apply( b, X )
% 0.75/1.20 ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 , 0, clause( 214, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b,
% 0.75/1.20 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 0.75/1.20 , X ) ) ) ) ) ] )
% 0.75/1.20 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.20 ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 paramod(
% 0.75/1.20 clause( 219, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.75/1.20 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 , clause( 25, [ =( apply( apply( w, w ), apply( w, apply( b, apply( b, X )
% 0.75/1.20 ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 , 0, clause( 218, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b,
% 0.75/1.20 apply( b, X ) ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.20 ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 139, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.75/1.20 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 , clause( 219, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.75/1.20 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 223, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.75/1.20 'strong_fixed_point', X ) ) ) ] )
% 0.75/1.20 , clause( 139, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.75/1.20 'strong_fixed_point', X ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 eqswap(
% 0.75/1.20 clause( 224, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.75/1.20 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.75/1.20 , clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.75/1.20 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 resolution(
% 0.75/1.20 clause( 225, [] )
% 0.75/1.20 , clause( 224, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.75/1.20 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.75/1.20 , 0, clause( 223, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.75/1.20 'strong_fixed_point', X ) ) ) ] )
% 0.75/1.20 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'fixed_pt' )] )).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 subsumption(
% 0.75/1.20 clause( 144, [] )
% 0.75/1.20 , clause( 225, [] )
% 0.75/1.20 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 end.
% 0.75/1.20
% 0.75/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.20
% 0.75/1.20 Memory use:
% 0.75/1.20
% 0.75/1.20 space for terms: 2640
% 0.75/1.20 space for clauses: 18599
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 clauses generated: 2662
% 0.75/1.20 clauses kept: 145
% 0.75/1.20 clauses selected: 38
% 0.75/1.20 clauses deleted: 4
% 0.75/1.20 clauses inuse deleted: 0
% 0.75/1.20
% 0.75/1.20 subsentry: 694
% 0.75/1.20 literals s-matched: 394
% 0.75/1.20 literals matched: 386
% 0.75/1.20 full subsumption: 0
% 0.75/1.20
% 0.75/1.20 checksum: -1518543854
% 0.75/1.20
% 0.75/1.20
% 0.75/1.20 Bliksem ended
%------------------------------------------------------------------------------