%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL003-20 : TPTP v8.1.0. Released v2.1.0.
% 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 00:12:21 EDT 2022
% Result : Unsatisfiable 0.77s 1.19s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL003-20 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue May 31 04:54:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.77/1.19 *** allocated 10000 integers for termspace/termends
% 0.77/1.19 *** allocated 10000 integers for clauses
% 0.77/1.19 *** allocated 10000 integers for justifications
% 0.77/1.19 Bliksem 1.12
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 Automatic Strategy Selection
% 0.77/1.19
% 0.77/1.19 Clauses:
% 0.77/1.19 [
% 0.77/1.19 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.77/1.19 ],
% 0.77/1.19 [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ],
% 0.77/1.19 [ =( 'strong_fixed_point', apply( apply( b, apply( w, w ) ), apply(
% 0.77/1.19 apply( b, apply( b, w ) ), apply( apply( b, b ), b ) ) ) ) ],
% 0.77/1.19 [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply( 'fixed_pt',
% 0.77/1.19 apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ]
% 0.77/1.19 ] .
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 percentage equality = 1.000000, percentage horn = 1.000000
% 0.77/1.19 This is a pure equality problem
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 Options Used:
% 0.77/1.19
% 0.77/1.19 useres = 1
% 0.77/1.19 useparamod = 1
% 0.77/1.19 useeqrefl = 1
% 0.77/1.19 useeqfact = 1
% 0.77/1.19 usefactor = 1
% 0.77/1.19 usesimpsplitting = 0
% 0.77/1.19 usesimpdemod = 5
% 0.77/1.19 usesimpres = 3
% 0.77/1.19
% 0.77/1.19 resimpinuse = 1000
% 0.77/1.19 resimpclauses = 20000
% 0.77/1.19 substype = eqrewr
% 0.77/1.19 backwardsubs = 1
% 0.77/1.19 selectoldest = 5
% 0.77/1.19
% 0.77/1.19 litorderings [0] = split
% 0.77/1.19 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.19
% 0.77/1.19 termordering = kbo
% 0.77/1.19
% 0.77/1.19 litapriori = 0
% 0.77/1.19 termapriori = 1
% 0.77/1.19 litaposteriori = 0
% 0.77/1.19 termaposteriori = 0
% 0.77/1.19 demodaposteriori = 0
% 0.77/1.19 ordereqreflfact = 0
% 0.77/1.19
% 0.77/1.19 litselect = negord
% 0.77/1.19
% 0.77/1.19 maxweight = 15
% 0.77/1.19 maxdepth = 30000
% 0.77/1.19 maxlength = 115
% 0.77/1.19 maxnrvars = 195
% 0.77/1.19 excuselevel = 1
% 0.77/1.19 increasemaxweight = 1
% 0.77/1.19
% 0.77/1.19 maxselected = 10000000
% 0.77/1.19 maxnrclauses = 10000000
% 0.77/1.19
% 0.77/1.19 showgenerated = 0
% 0.77/1.19 showkept = 0
% 0.77/1.19 showselected = 0
% 0.77/1.19 showdeleted = 0
% 0.77/1.19 showresimp = 1
% 0.77/1.19 showstatus = 2000
% 0.77/1.19
% 0.77/1.19 prologoutput = 1
% 0.77/1.19 nrgoals = 5000000
% 0.77/1.19 totalproof = 1
% 0.77/1.19
% 0.77/1.19 Symbols occurring in the translation:
% 0.77/1.19
% 0.77/1.19 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.19 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.77/1.19 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.77/1.19 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.19 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.19 b [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.77/1.19 apply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.77/1.19 w [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.77/1.19 'strong_fixed_point' [45, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.77/1.19 'fixed_pt' [46, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 Starting Search:
% 0.77/1.19
% 0.77/1.19 Resimplifying inuse:
% 0.77/1.19 Done
% 0.77/1.19
% 0.77/1.19 Failed to find proof!
% 0.77/1.19 maxweight = 15
% 0.77/1.19 maxnrclauses = 10000000
% 0.77/1.19 Generated: 1093
% 0.77/1.19 Kept: 28
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 The strategy used was not complete!
% 0.77/1.19
% 0.77/1.19 Increased maxweight to 16
% 0.77/1.19
% 0.77/1.19 Starting Search:
% 0.77/1.19
% 0.77/1.19 Resimplifying inuse:
% 0.77/1.19 Done
% 0.77/1.19
% 0.77/1.19 Failed to find proof!
% 0.77/1.19 maxweight = 16
% 0.77/1.19 maxnrclauses = 10000000
% 0.77/1.19 Generated: 1093
% 0.77/1.19 Kept: 28
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 The strategy used was not complete!
% 0.77/1.19
% 0.77/1.19 Increased maxweight to 17
% 0.77/1.19
% 0.77/1.19 Starting Search:
% 0.77/1.19
% 0.77/1.19 Resimplifying inuse:
% 0.77/1.19 Done
% 0.77/1.19
% 0.77/1.19 Failed to find proof!
% 0.77/1.19 maxweight = 17
% 0.77/1.19 maxnrclauses = 10000000
% 0.77/1.19 Generated: 3462
% 0.77/1.19 Kept: 69
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 The strategy used was not complete!
% 0.77/1.19
% 0.77/1.19 Increased maxweight to 18
% 0.77/1.19
% 0.77/1.19 Starting Search:
% 0.77/1.19
% 0.77/1.19 Resimplifying inuse:
% 0.77/1.19 Done
% 0.77/1.19
% 0.77/1.19 Failed to find proof!
% 0.77/1.19 maxweight = 18
% 0.77/1.19 maxnrclauses = 10000000
% 0.77/1.19 Generated: 3462
% 0.77/1.19 Kept: 69
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 The strategy used was not complete!
% 0.77/1.19
% 0.77/1.19 Increased maxweight to 19
% 0.77/1.19
% 0.77/1.19 Starting Search:
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 Bliksems!, er is een bewijs:
% 0.77/1.19 % SZS status Unsatisfiable
% 0.77/1.19 % SZS output start Refutation
% 0.77/1.19
% 0.77/1.19 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.77/1.19 Z ) ) ) ] )
% 0.77/1.19 .
% 0.77/1.19 clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 0.77/1.19 .
% 0.77/1.19 clause( 2, [ =( apply( apply( b, apply( w, w ) ), apply( apply( b, apply( b
% 0.77/1.19 , w ) ), apply( apply( b, b ), b ) ) ), 'strong_fixed_point' ) ] )
% 0.77/1.19 .
% 0.77/1.19 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.77/1.19 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.77/1.19 .
% 0.77/1.19 clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ] )
% 0.77/1.19 .
% 0.77/1.19 clause( 6, [ =( apply( apply( w, apply( X, Y ) ), Y ), apply( apply( apply(
% 0.77/1.19 w, X ), Y ), Y ) ) ] )
% 0.77/1.19 .
% 0.77/1.19 clause( 11, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 0.77/1.19 , Y ) ) ) ] )
% 0.77/1.19 .
% 0.77/1.19 clause( 17, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y ),
% 0.77/1.19 Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.77/1.19 .
% 0.77/1.19 clause( 24, [ =( apply( apply( w, w ), apply( apply( b, w ), apply( b,
% 0.77/1.19 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.77/1.19 .
% 0.77/1.19 clause( 130, [ =( apply( apply( apply( w, apply( b, apply( b, Y ) ) ), X )
% 0.77/1.19 , X ), apply( Y, apply( apply( w, w ), X ) ) ) ] )
% 0.77/1.19 .
% 0.77/1.19 clause( 169, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.77/1.19 'strong_fixed_point', X ) ) ] )
% 0.77/1.19 .
% 0.77/1.19 clause( 170, [] )
% 0.77/1.19 .
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 % SZS output end Refutation
% 0.77/1.19 found a proof!
% 0.77/1.19
% 0.77/1.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.19
% 0.77/1.19 initialclauses(
% 0.77/1.19 [ clause( 172, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.77/1.19 Y, Z ) ) ) ] )
% 0.77/1.19 , clause( 173, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 0.77/1.19 ] )
% 0.77/1.19 , clause( 174, [ =( 'strong_fixed_point', apply( apply( b, apply( w, w ) )
% 0.77/1.19 , apply( apply( b, apply( b, w ) ), apply( apply( b, b ), b ) ) ) ) ] )
% 0.77/1.19 , clause( 175, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.77/1.19 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.77/1.19 ] ).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 subsumption(
% 0.77/1.19 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.77/1.19 Z ) ) ) ] )
% 0.77/1.19 , clause( 172, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.77/1.19 Y, Z ) ) ) ] )
% 0.77/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 subsumption(
% 0.77/1.19 clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 0.77/1.19 , clause( 173, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 0.77/1.19 ] )
% 0.77/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.19 )] ) ).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 eqswap(
% 0.77/1.19 clause( 181, [ =( apply( apply( b, apply( w, w ) ), apply( apply( b, apply(
% 0.77/1.19 b, w ) ), apply( apply( b, b ), b ) ) ), 'strong_fixed_point' ) ] )
% 0.77/1.19 , clause( 174, [ =( 'strong_fixed_point', apply( apply( b, apply( w, w ) )
% 0.77/1.19 , apply( apply( b, apply( b, w ) ), apply( apply( b, b ), b ) ) ) ) ] )
% 0.77/1.19 , 0, substitution( 0, [] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 subsumption(
% 0.77/1.19 clause( 2, [ =( apply( apply( b, apply( w, w ) ), apply( apply( b, apply( b
% 0.77/1.19 , w ) ), apply( apply( b, b ), b ) ) ), 'strong_fixed_point' ) ] )
% 0.77/1.19 , clause( 181, [ =( apply( apply( b, apply( w, w ) ), apply( apply( b,
% 0.77/1.19 apply( b, w ) ), apply( apply( b, b ), b ) ) ), 'strong_fixed_point' ) ]
% 0.77/1.19 )
% 0.77/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 eqswap(
% 0.77/1.19 clause( 185, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.77/1.19 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.77/1.19 , clause( 175, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.77/1.19 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.77/1.19 , 0, substitution( 0, [] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 subsumption(
% 0.77/1.19 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.77/1.19 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.77/1.19 , clause( 185, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.77/1.19 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.77/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 eqswap(
% 0.77/1.19 clause( 186, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.77/1.19 )
% 0.77/1.19 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.77/1.19 )
% 0.77/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 eqswap(
% 0.77/1.19 clause( 187, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.77/1.19 )
% 0.77/1.19 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.77/1.19 )
% 0.77/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 paramod(
% 0.77/1.19 clause( 190, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) ) ]
% 0.77/1.19 )
% 0.77/1.19 , clause( 186, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 0.77/1.19 ] )
% 0.77/1.19 , 0, clause( 187, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y )
% 0.77/1.19 ) ] )
% 0.77/1.19 , 0, 6, substitution( 0, [ :=( X, w ), :=( Y, X )] ), substitution( 1, [
% 0.77/1.19 :=( X, X ), :=( Y, X )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 eqswap(
% 0.77/1.19 clause( 196, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 0.77/1.19 )
% 0.77/1.19 , clause( 190, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 0.77/1.19 ] )
% 0.77/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 subsumption(
% 0.77/1.19 clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ] )
% 0.77/1.19 , clause( 196, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) )
% 0.77/1.19 ] )
% 0.77/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 eqswap(
% 0.77/1.19 clause( 197, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.77/1.19 )
% 0.77/1.19 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.77/1.19 )
% 0.77/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 eqswap(
% 0.77/1.19 clause( 198, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.77/1.19 )
% 0.77/1.19 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.77/1.19 )
% 0.77/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 paramod(
% 0.77/1.19 clause( 200, [ =( apply( apply( apply( w, X ), Y ), Y ), apply( apply( w,
% 0.77/1.19 apply( X, Y ) ), Y ) ) ] )
% 0.77/1.19 , clause( 197, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 0.77/1.19 ] )
% 0.77/1.19 , 0, clause( 198, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y )
% 0.77/1.19 ) ] )
% 0.77/1.19 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.77/1.19 :=( X, apply( X, Y ) ), :=( Y, Y )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 eqswap(
% 0.77/1.19 clause( 205, [ =( apply( apply( w, apply( X, Y ) ), Y ), apply( apply(
% 0.77/1.19 apply( w, X ), Y ), Y ) ) ] )
% 0.77/1.19 , clause( 200, [ =( apply( apply( apply( w, X ), Y ), Y ), apply( apply( w
% 0.77/1.19 , apply( X, Y ) ), Y ) ) ] )
% 0.77/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 subsumption(
% 0.77/1.19 clause( 6, [ =( apply( apply( w, apply( X, Y ) ), Y ), apply( apply( apply(
% 0.77/1.19 w, X ), Y ), Y ) ) ] )
% 0.77/1.19 , clause( 205, [ =( apply( apply( w, apply( X, Y ) ), Y ), apply( apply(
% 0.77/1.19 apply( w, X ), Y ), Y ) ) ] )
% 0.77/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.19 )] ) ).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 eqswap(
% 0.77/1.19 clause( 208, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.77/1.19 ), Z ) ) ] )
% 0.77/1.19 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.77/1.19 , Z ) ) ) ] )
% 0.77/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 eqswap(
% 0.77/1.19 clause( 209, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.77/1.19 )
% 0.77/1.19 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.77/1.19 )
% 0.77/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 paramod(
% 0.77/1.19 clause( 212, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X )
% 0.77/1.19 ), Y ) ) ] )
% 0.77/1.19 , clause( 209, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 0.77/1.19 ] )
% 0.77/1.19 , 0, clause( 208, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.77/1.19 ), Y ), Z ) ) ] )
% 0.77/1.19 , 0, 6, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 0.77/1.19 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 eqswap(
% 0.77/1.19 clause( 216, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 0.77/1.19 , Y ) ) ) ] )
% 0.77/1.19 , clause( 212, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X
% 0.77/1.19 ) ), Y ) ) ] )
% 0.77/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 subsumption(
% 0.77/1.19 clause( 11, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 0.77/1.19 , Y ) ) ) ] )
% 0.77/1.19 , clause( 216, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply(
% 0.77/1.19 Y, Y ) ) ) ] )
% 0.77/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.19 )] ) ).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 eqswap(
% 0.77/1.19 clause( 218, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X )
% 0.77/1.19 ), Y ) ) ] )
% 0.77/1.19 , clause( 11, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply(
% 0.77/1.19 Y, Y ) ) ) ] )
% 0.77/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 eqswap(
% 0.77/1.19 clause( 219, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.77/1.19 ), Z ) ) ] )
% 0.77/1.19 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.77/1.19 , Z ) ) ) ] )
% 0.77/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 paramod(
% 0.77/1.19 clause( 223, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.77/1.19 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.77/1.19 , clause( 218, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X
% 0.77/1.19 ) ), Y ) ) ] )
% 0.77/1.19 , 0, clause( 219, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.77/1.19 ), Y ), Z ) ) ] )
% 0.77/1.19 , 0, 9, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 0.77/1.19 substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Y ) ), :=( Z, Z )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 eqswap(
% 0.77/1.19 clause( 231, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 0.77/1.19 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.77/1.19 , clause( 223, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.77/1.19 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.77/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 subsumption(
% 0.77/1.19 clause( 17, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y ),
% 0.77/1.19 Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.77/1.19 , clause( 231, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y
% 0.77/1.19 ), Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.77/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 eqswap(
% 0.77/1.19 clause( 235, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.77/1.19 ), Z ) ) ] )
% 0.77/1.19 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.77/1.19 , Z ) ) ) ] )
% 0.77/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.77/1.19
% 0.77/1.19
% 0.77/1.19 paramod(
% 0.77/1.19 clause( 240, [ =( apply( apply( w, w ), apply( apply( apply( b, apply( b, w
% 0.77/1.19 ) ), apply( apply( b, b ), b ) ), X ) ), apply( 'strong_fixed_point', X
% 0.77/1.19 ) ) ] )
% 0.77/1.19 , clause( 2, [ =( apply( apply( b, apply( w, w ) ), apply( apply( b, apply(
% 0.77/1.19 b, w ) ), apply( apply( b, b ), b ) ) ), 'strong_fixed_point' ) ] )
% 0.77/1.19 , 0, clause( 235, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.81/1.19 ), Y ), Z ) ) ] )
% 0.81/1.19 , 0, 19, substitution( 0, [] ), substitution( 1, [ :=( X, apply( w, w ) ),
% 0.81/1.19 :=( Y, apply( apply( b, apply( b, w ) ), apply( apply( b, b ), b ) ) ),
% 0.81/1.19 :=( Z, X )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 paramod(
% 0.81/1.19 clause( 241, [ =( apply( apply( w, w ), apply( apply( b, w ), apply( apply(
% 0.81/1.19 apply( b, b ), b ), X ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.81/1.19 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.81/1.19 , Z ) ) ) ] )
% 0.81/1.19 , 0, clause( 240, [ =( apply( apply( w, w ), apply( apply( apply( b, apply(
% 0.81/1.19 b, w ) ), apply( apply( b, b ), b ) ), X ) ), apply( 'strong_fixed_point'
% 0.81/1.19 , X ) ) ] )
% 0.81/1.19 , 0, 5, substitution( 0, [ :=( X, apply( b, w ) ), :=( Y, apply( apply( b,
% 0.81/1.19 b ), b ) ), :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 paramod(
% 0.81/1.19 clause( 243, [ =( apply( apply( w, w ), apply( apply( b, w ), apply( b,
% 0.81/1.19 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.81/1.19 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.81/1.19 , Z ) ) ) ] )
% 0.81/1.19 , 0, clause( 241, [ =( apply( apply( w, w ), apply( apply( b, w ), apply(
% 0.81/1.19 apply( apply( b, b ), b ), X ) ) ), apply( 'strong_fixed_point', X ) ) ]
% 0.81/1.19 )
% 0.81/1.19 , 0, 9, substitution( 0, [ :=( X, b ), :=( Y, b ), :=( Z, X )] ),
% 0.81/1.19 substitution( 1, [ :=( X, X )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 24, [ =( apply( apply( w, w ), apply( apply( b, w ), apply( b,
% 0.81/1.19 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.81/1.19 , clause( 243, [ =( apply( apply( w, w ), apply( apply( b, w ), apply( b,
% 0.81/1.19 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.81/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 eqswap(
% 0.81/1.19 clause( 245, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) ) ]
% 0.81/1.19 )
% 0.81/1.19 , clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 0.81/1.19 )
% 0.81/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 eqswap(
% 0.81/1.19 clause( 246, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.81/1.19 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.81/1.19 , clause( 17, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 0.81/1.19 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.81/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 paramod(
% 0.81/1.19 clause( 248, [ =( apply( X, apply( apply( w, w ), Y ) ), apply( apply(
% 0.81/1.19 apply( w, apply( b, apply( b, X ) ) ), Y ), Y ) ) ] )
% 0.81/1.19 , clause( 245, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 0.81/1.19 ] )
% 0.81/1.19 , 0, clause( 246, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.81/1.19 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.81/1.19 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.81/1.19 :=( Y, Y ), :=( Z, Y )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 eqswap(
% 0.81/1.19 clause( 252, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 0.81/1.19 , Y ), apply( X, apply( apply( w, w ), Y ) ) ) ] )
% 0.81/1.19 , clause( 248, [ =( apply( X, apply( apply( w, w ), Y ) ), apply( apply(
% 0.81/1.19 apply( w, apply( b, apply( b, X ) ) ), Y ), Y ) ) ] )
% 0.81/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 130, [ =( apply( apply( apply( w, apply( b, apply( b, Y ) ) ), X )
% 0.81/1.19 , X ), apply( Y, apply( apply( w, w ), X ) ) ) ] )
% 0.81/1.19 , clause( 252, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y
% 0.81/1.19 ), Y ), apply( X, apply( apply( w, w ), Y ) ) ) ] )
% 0.81/1.19 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.19 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 eqswap(
% 0.81/1.19 clause( 255, [ =( apply( 'strong_fixed_point', X ), apply( apply( w, w ),
% 0.81/1.19 apply( apply( b, w ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.81/1.19 , clause( 24, [ =( apply( apply( w, w ), apply( apply( b, w ), apply( b,
% 0.81/1.19 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.81/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 paramod(
% 0.81/1.19 clause( 261, [ =( apply( 'strong_fixed_point', X ), apply( apply( apply(
% 0.81/1.19 apply( b, w ), apply( b, apply( b, X ) ) ), apply( apply( b, w ), apply(
% 0.81/1.19 b, apply( b, X ) ) ) ), apply( apply( b, w ), apply( b, apply( b, X ) ) )
% 0.81/1.19 ) ) ] )
% 0.81/1.19 , clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 0.81/1.19 )
% 0.81/1.19 , 0, clause( 255, [ =( apply( 'strong_fixed_point', X ), apply( apply( w, w
% 0.81/1.19 ), apply( apply( b, w ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.81/1.19 , 0, 4, substitution( 0, [ :=( X, apply( apply( b, w ), apply( b, apply( b
% 0.81/1.19 , X ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 paramod(
% 0.81/1.19 clause( 262, [ =( apply( 'strong_fixed_point', X ), apply( apply( w, apply(
% 0.81/1.19 apply( b, apply( b, X ) ), apply( apply( b, w ), apply( b, apply( b, X )
% 0.81/1.19 ) ) ) ), apply( apply( b, w ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.81/1.19 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.81/1.19 , Z ) ) ) ] )
% 0.81/1.19 , 0, clause( 261, [ =( apply( 'strong_fixed_point', X ), apply( apply(
% 0.81/1.19 apply( apply( b, w ), apply( b, apply( b, X ) ) ), apply( apply( b, w ),
% 0.81/1.19 apply( b, apply( b, X ) ) ) ), apply( apply( b, w ), apply( b, apply( b,
% 0.81/1.19 X ) ) ) ) ) ] )
% 0.81/1.19 , 0, 5, substitution( 0, [ :=( X, w ), :=( Y, apply( b, apply( b, X ) ) ),
% 0.81/1.19 :=( Z, apply( apply( b, w ), apply( b, apply( b, X ) ) ) )] ),
% 0.81/1.19 substitution( 1, [ :=( X, X )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 paramod(
% 0.81/1.19 clause( 263, [ =( apply( 'strong_fixed_point', X ), apply( apply( apply( w
% 0.81/1.19 , apply( b, apply( b, X ) ) ), apply( apply( b, w ), apply( b, apply( b,
% 0.81/1.19 X ) ) ) ), apply( apply( b, w ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.81/1.19 , clause( 6, [ =( apply( apply( w, apply( X, Y ) ), Y ), apply( apply(
% 0.81/1.19 apply( w, X ), Y ), Y ) ) ] )
% 0.81/1.19 , 0, clause( 262, [ =( apply( 'strong_fixed_point', X ), apply( apply( w,
% 0.81/1.19 apply( apply( b, apply( b, X ) ), apply( apply( b, w ), apply( b, apply(
% 0.81/1.19 b, X ) ) ) ) ), apply( apply( b, w ), apply( b, apply( b, X ) ) ) ) ) ]
% 0.81/1.19 )
% 0.81/1.19 , 0, 4, substitution( 0, [ :=( X, apply( b, apply( b, X ) ) ), :=( Y, apply(
% 0.81/1.19 apply( b, w ), apply( b, apply( b, X ) ) ) )] ), substitution( 1, [ :=( X
% 0.81/1.19 , X )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 paramod(
% 0.81/1.19 clause( 264, [ =( apply( 'strong_fixed_point', X ), apply( X, apply( apply(
% 0.81/1.19 w, w ), apply( apply( b, w ), apply( b, apply( b, X ) ) ) ) ) ) ] )
% 0.81/1.19 , clause( 130, [ =( apply( apply( apply( w, apply( b, apply( b, Y ) ) ), X
% 0.81/1.19 ), X ), apply( Y, apply( apply( w, w ), X ) ) ) ] )
% 0.81/1.19 , 0, clause( 263, [ =( apply( 'strong_fixed_point', X ), apply( apply(
% 0.81/1.19 apply( w, apply( b, apply( b, X ) ) ), apply( apply( b, w ), apply( b,
% 0.81/1.19 apply( b, X ) ) ) ), apply( apply( b, w ), apply( b, apply( b, X ) ) ) )
% 0.81/1.19 ) ] )
% 0.81/1.19 , 0, 4, substitution( 0, [ :=( X, apply( apply( b, w ), apply( b, apply( b
% 0.81/1.19 , X ) ) ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 paramod(
% 0.81/1.19 clause( 265, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.81/1.19 'strong_fixed_point', X ) ) ) ] )
% 0.81/1.19 , clause( 24, [ =( apply( apply( w, w ), apply( apply( b, w ), apply( b,
% 0.81/1.19 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.81/1.19 , 0, clause( 264, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.81/1.19 apply( w, w ), apply( apply( b, w ), apply( b, apply( b, X ) ) ) ) ) ) ]
% 0.81/1.19 )
% 0.81/1.19 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.81/1.19 ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 eqswap(
% 0.81/1.19 clause( 266, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.81/1.19 'strong_fixed_point', X ) ) ] )
% 0.81/1.19 , clause( 265, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.81/1.19 'strong_fixed_point', X ) ) ) ] )
% 0.81/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 169, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.81/1.19 'strong_fixed_point', X ) ) ] )
% 0.81/1.19 , clause( 266, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.81/1.19 'strong_fixed_point', X ) ) ] )
% 0.81/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 eqswap(
% 0.81/1.19 clause( 267, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.81/1.19 'strong_fixed_point', X ) ) ) ] )
% 0.81/1.19 , clause( 169, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.81/1.19 'strong_fixed_point', X ) ) ] )
% 0.81/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 eqswap(
% 0.81/1.19 clause( 268, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.81/1.19 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.81/1.19 , clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.81/1.19 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.81/1.19 , 0, substitution( 0, [] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 resolution(
% 0.81/1.19 clause( 269, [] )
% 0.81/1.19 , clause( 268, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.81/1.19 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.81/1.19 , 0, clause( 267, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.81/1.19 'strong_fixed_point', X ) ) ) ] )
% 0.81/1.19 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'fixed_pt' )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 170, [] )
% 0.81/1.19 , clause( 269, [] )
% 0.81/1.19 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 end.
% 0.81/1.19
% 0.81/1.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.19
% 0.81/1.19 Memory use:
% 0.81/1.19
% 0.81/1.19 space for terms: 3134
% 0.81/1.19 space for clauses: 21617
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 clauses generated: 6623
% 0.81/1.19 clauses kept: 171
% 0.81/1.19 clauses selected: 54
% 0.81/1.19 clauses deleted: 8
% 0.81/1.19 clauses inuse deleted: 0
% 0.81/1.19
% 0.81/1.19 subsentry: 1055
% 0.81/1.19 literals s-matched: 687
% 0.81/1.19 literals matched: 671
% 0.81/1.19 full subsumption: 0
% 0.81/1.19
% 0.81/1.19 checksum: 1125753900
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 Bliksem ended
%------------------------------------------------------------------------------