TSTP Solution File: COL042-7 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL042-7 : TPTP v8.1.0. Released v2.1.0.
% 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 00:12:27 EDT 2022
% Result : Unsatisfiable 0.82s 1.34s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL042-7 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n025.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 10:37:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.82/1.34 *** allocated 10000 integers for termspace/termends
% 0.82/1.34 *** allocated 10000 integers for clauses
% 0.82/1.34 *** allocated 10000 integers for justifications
% 0.82/1.34 Bliksem 1.12
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 Automatic Strategy Selection
% 0.82/1.34
% 0.82/1.34 Clauses:
% 0.82/1.34 [
% 0.82/1.34 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.82/1.34 ],
% 0.82/1.34 [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ],
% 0.82/1.34 [ =( 'strong_fixed_point', apply( apply( b, apply( apply( b, apply( w1,
% 0.82/1.34 w1 ) ), apply( b, w1 ) ) ), apply( apply( b, b ), b ) ) ) ],
% 0.82/1.34 [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply( 'fixed_pt',
% 0.82/1.34 apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ]
% 0.82/1.34 ] .
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 percentage equality = 1.000000, percentage horn = 1.000000
% 0.82/1.34 This is a pure equality problem
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 Options Used:
% 0.82/1.34
% 0.82/1.34 useres = 1
% 0.82/1.34 useparamod = 1
% 0.82/1.34 useeqrefl = 1
% 0.82/1.34 useeqfact = 1
% 0.82/1.34 usefactor = 1
% 0.82/1.34 usesimpsplitting = 0
% 0.82/1.34 usesimpdemod = 5
% 0.82/1.34 usesimpres = 3
% 0.82/1.34
% 0.82/1.34 resimpinuse = 1000
% 0.82/1.34 resimpclauses = 20000
% 0.82/1.34 substype = eqrewr
% 0.82/1.34 backwardsubs = 1
% 0.82/1.34 selectoldest = 5
% 0.82/1.34
% 0.82/1.34 litorderings [0] = split
% 0.82/1.34 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.34
% 0.82/1.34 termordering = kbo
% 0.82/1.34
% 0.82/1.34 litapriori = 0
% 0.82/1.34 termapriori = 1
% 0.82/1.34 litaposteriori = 0
% 0.82/1.34 termaposteriori = 0
% 0.82/1.34 demodaposteriori = 0
% 0.82/1.34 ordereqreflfact = 0
% 0.82/1.34
% 0.82/1.34 litselect = negord
% 0.82/1.34
% 0.82/1.34 maxweight = 15
% 0.82/1.34 maxdepth = 30000
% 0.82/1.34 maxlength = 115
% 0.82/1.34 maxnrvars = 195
% 0.82/1.34 excuselevel = 1
% 0.82/1.34 increasemaxweight = 1
% 0.82/1.34
% 0.82/1.34 maxselected = 10000000
% 0.82/1.34 maxnrclauses = 10000000
% 0.82/1.34
% 0.82/1.34 showgenerated = 0
% 0.82/1.34 showkept = 0
% 0.82/1.34 showselected = 0
% 0.82/1.34 showdeleted = 0
% 0.82/1.34 showresimp = 1
% 0.82/1.34 showstatus = 2000
% 0.82/1.34
% 0.82/1.34 prologoutput = 1
% 0.82/1.34 nrgoals = 5000000
% 0.82/1.34 totalproof = 1
% 0.82/1.34
% 0.82/1.34 Symbols occurring in the translation:
% 0.82/1.34
% 0.82/1.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.34 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.82/1.34 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.82/1.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.34 b [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.82/1.34 apply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.82/1.34 w1 [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.82/1.34 'strong_fixed_point' [45, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.82/1.34 'fixed_pt' [46, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 Starting Search:
% 0.82/1.34
% 0.82/1.34 Resimplifying inuse:
% 0.82/1.34 Done
% 0.82/1.34
% 0.82/1.34 Failed to find proof!
% 0.82/1.34 maxweight = 15
% 0.82/1.34 maxnrclauses = 10000000
% 0.82/1.34 Generated: 1142
% 0.82/1.34 Kept: 26
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 The strategy used was not complete!
% 0.82/1.34
% 0.82/1.34 Increased maxweight to 16
% 0.82/1.34
% 0.82/1.34 Starting Search:
% 0.82/1.34
% 0.82/1.34 Resimplifying inuse:
% 0.82/1.34 Done
% 0.82/1.34
% 0.82/1.34 Failed to find proof!
% 0.82/1.34 maxweight = 16
% 0.82/1.34 maxnrclauses = 10000000
% 0.82/1.34 Generated: 1142
% 0.82/1.34 Kept: 26
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 The strategy used was not complete!
% 0.82/1.34
% 0.82/1.34 Increased maxweight to 17
% 0.82/1.34
% 0.82/1.34 Starting Search:
% 0.82/1.34
% 0.82/1.34 Resimplifying inuse:
% 0.82/1.34 Done
% 0.82/1.34
% 0.82/1.34 Failed to find proof!
% 0.82/1.34 maxweight = 17
% 0.82/1.34 maxnrclauses = 10000000
% 0.82/1.34 Generated: 2590
% 0.82/1.34 Kept: 50
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 The strategy used was not complete!
% 0.82/1.34
% 0.82/1.34 Increased maxweight to 18
% 0.82/1.34
% 0.82/1.34 Starting Search:
% 0.82/1.34
% 0.82/1.34 Resimplifying inuse:
% 0.82/1.34 Done
% 0.82/1.34
% 0.82/1.34 Failed to find proof!
% 0.82/1.34 maxweight = 18
% 0.82/1.34 maxnrclauses = 10000000
% 0.82/1.34 Generated: 2590
% 0.82/1.34 Kept: 50
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 The strategy used was not complete!
% 0.82/1.34
% 0.82/1.34 Increased maxweight to 19
% 0.82/1.34
% 0.82/1.34 Starting Search:
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 Bliksems!, er is een bewijs:
% 0.82/1.34 % SZS status Unsatisfiable
% 0.82/1.34 % SZS output start Refutation
% 0.82/1.34
% 0.82/1.34 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.82/1.34 Z ) ) ) ] )
% 0.82/1.34 .
% 0.82/1.34 clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.82/1.34 )
% 0.82/1.34 .
% 0.82/1.34 clause( 2, [ =( apply( apply( b, apply( apply( b, apply( w1, w1 ) ), apply(
% 0.82/1.34 b, w1 ) ) ), apply( apply( b, b ), b ) ), 'strong_fixed_point' ) ] )
% 0.82/1.34 .
% 0.82/1.34 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.82/1.34 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.82/1.34 .
% 0.82/1.34 clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), apply(
% 0.82/1.34 apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.82/1.34 .
% 0.82/1.34 clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b,
% 0.82/1.34 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.82/1.34 .
% 0.82/1.34 clause( 102, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) ),
% 0.82/1.34 Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.82/1.34 .
% 0.82/1.34 clause( 104, [ =( apply( apply( w1, Y ), apply( apply( b, w1 ), X ) ),
% 0.82/1.34 apply( apply( Y, apply( X, Y ) ), apply( X, Y ) ) ) ] )
% 0.82/1.34 .
% 0.82/1.34 clause( 214, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.82/1.34 'strong_fixed_point', X ) ) ] )
% 0.82/1.34 .
% 0.82/1.34 clause( 219, [] )
% 0.82/1.34 .
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 % SZS output end Refutation
% 0.82/1.34 found a proof!
% 0.82/1.34
% 0.82/1.34 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.82/1.34
% 0.82/1.34 initialclauses(
% 0.82/1.34 [ clause( 221, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.82/1.34 Y, Z ) ) ) ] )
% 0.82/1.34 , clause( 222, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) )
% 0.82/1.34 ] )
% 0.82/1.34 , clause( 223, [ =( 'strong_fixed_point', apply( apply( b, apply( apply( b
% 0.82/1.34 , apply( w1, w1 ) ), apply( b, w1 ) ) ), apply( apply( b, b ), b ) ) ) ]
% 0.82/1.34 )
% 0.82/1.34 , clause( 224, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.82/1.34 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.82/1.34 ] ).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 subsumption(
% 0.82/1.34 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.82/1.34 Z ) ) ) ] )
% 0.82/1.34 , clause( 221, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.82/1.34 Y, Z ) ) ) ] )
% 0.82/1.34 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 subsumption(
% 0.82/1.34 clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.82/1.34 )
% 0.82/1.34 , clause( 222, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) )
% 0.82/1.34 ] )
% 0.82/1.34 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.34 )] ) ).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 eqswap(
% 0.82/1.34 clause( 230, [ =( apply( apply( b, apply( apply( b, apply( w1, w1 ) ),
% 0.82/1.34 apply( b, w1 ) ) ), apply( apply( b, b ), b ) ), 'strong_fixed_point' ) ]
% 0.82/1.34 )
% 0.82/1.34 , clause( 223, [ =( 'strong_fixed_point', apply( apply( b, apply( apply( b
% 0.82/1.34 , apply( w1, w1 ) ), apply( b, w1 ) ) ), apply( apply( b, b ), b ) ) ) ]
% 0.82/1.34 )
% 0.82/1.34 , 0, substitution( 0, [] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 subsumption(
% 0.82/1.34 clause( 2, [ =( apply( apply( b, apply( apply( b, apply( w1, w1 ) ), apply(
% 0.82/1.34 b, w1 ) ) ), apply( apply( b, b ), b ) ), 'strong_fixed_point' ) ] )
% 0.82/1.34 , clause( 230, [ =( apply( apply( b, apply( apply( b, apply( w1, w1 ) ),
% 0.82/1.34 apply( b, w1 ) ) ), apply( apply( b, b ), b ) ), 'strong_fixed_point' ) ]
% 0.82/1.34 )
% 0.82/1.34 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 eqswap(
% 0.82/1.34 clause( 234, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.82/1.34 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.82/1.34 , clause( 224, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.82/1.34 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.82/1.34 , 0, substitution( 0, [] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 subsumption(
% 0.82/1.34 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.82/1.34 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.82/1.34 , clause( 234, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.82/1.34 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.82/1.34 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 eqswap(
% 0.82/1.34 clause( 236, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) ) ]
% 0.82/1.34 )
% 0.82/1.34 , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.82/1.34 )
% 0.82/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 paramod(
% 0.82/1.34 clause( 250, [ =( apply( apply( X, apply( Y, Z ) ), Z ), apply( apply( w1,
% 0.82/1.34 Z ), apply( apply( b, X ), Y ) ) ) ] )
% 0.82/1.34 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.82/1.34 , Z ) ) ) ] )
% 0.82/1.34 , 0, clause( 236, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y
% 0.82/1.34 ) ) ] )
% 0.82/1.34 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.34 substitution( 1, [ :=( X, Z ), :=( Y, apply( apply( b, X ), Y ) )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 eqswap(
% 0.82/1.34 clause( 252, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), apply(
% 0.82/1.34 apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.82/1.34 , clause( 250, [ =( apply( apply( X, apply( Y, Z ) ), Z ), apply( apply( w1
% 0.82/1.34 , Z ), apply( apply( b, X ), Y ) ) ) ] )
% 0.82/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 subsumption(
% 0.82/1.34 clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), apply(
% 0.82/1.34 apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.82/1.34 , clause( 252, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ),
% 0.82/1.34 apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.82/1.34 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 eqswap(
% 0.82/1.34 clause( 254, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.82/1.34 ), Z ) ) ] )
% 0.82/1.34 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.82/1.34 , Z ) ) ) ] )
% 0.82/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 paramod(
% 0.82/1.34 clause( 259, [ =( apply( apply( apply( b, apply( w1, w1 ) ), apply( b, w1 )
% 0.82/1.34 ), apply( apply( apply( b, b ), b ), X ) ), apply( 'strong_fixed_point'
% 0.82/1.34 , X ) ) ] )
% 0.82/1.34 , clause( 2, [ =( apply( apply( b, apply( apply( b, apply( w1, w1 ) ),
% 0.82/1.34 apply( b, w1 ) ) ), apply( apply( b, b ), b ) ), 'strong_fixed_point' ) ]
% 0.82/1.34 )
% 0.82/1.34 , 0, clause( 254, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.82/1.34 ), Y ), Z ) ) ] )
% 0.82/1.34 , 0, 19, substitution( 0, [] ), substitution( 1, [ :=( X, apply( apply( b,
% 0.82/1.34 apply( w1, w1 ) ), apply( b, w1 ) ) ), :=( Y, apply( apply( b, b ), b ) )
% 0.82/1.34 , :=( Z, X )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 paramod(
% 0.82/1.34 clause( 261, [ =( apply( apply( apply( b, apply( w1, w1 ) ), apply( b, w1 )
% 0.82/1.34 ), apply( b, apply( b, X ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.82/1.34 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.82/1.34 , Z ) ) ) ] )
% 0.82/1.34 , 0, clause( 259, [ =( apply( apply( apply( b, apply( w1, w1 ) ), apply( b
% 0.82/1.34 , w1 ) ), apply( apply( apply( b, b ), b ), X ) ), apply(
% 0.82/1.34 'strong_fixed_point', X ) ) ] )
% 0.82/1.34 , 0, 11, substitution( 0, [ :=( X, b ), :=( Y, b ), :=( Z, X )] ),
% 0.82/1.34 substitution( 1, [ :=( X, X )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 paramod(
% 0.82/1.34 clause( 263, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b,
% 0.82/1.34 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.82/1.34 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.82/1.34 , Z ) ) ) ] )
% 0.82/1.34 , 0, clause( 261, [ =( apply( apply( apply( b, apply( w1, w1 ) ), apply( b
% 0.82/1.34 , w1 ) ), apply( b, apply( b, X ) ) ), apply( 'strong_fixed_point', X ) )
% 0.82/1.34 ] )
% 0.82/1.34 , 0, 1, substitution( 0, [ :=( X, apply( w1, w1 ) ), :=( Y, apply( b, w1 )
% 0.82/1.34 ), :=( Z, apply( b, apply( b, X ) ) )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.34 ).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 subsumption(
% 0.82/1.34 clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b,
% 0.82/1.34 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.82/1.34 , clause( 263, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b
% 0.82/1.34 , apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.82/1.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 eqswap(
% 0.82/1.34 clause( 265, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1,
% 0.82/1.34 X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.82/1.34 , clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ),
% 0.82/1.34 apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.82/1.34 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 eqswap(
% 0.82/1.34 clause( 266, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.82/1.34 ), Z ) ) ] )
% 0.82/1.34 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.82/1.34 , Z ) ) ) ] )
% 0.82/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 paramod(
% 0.82/1.34 clause( 269, [ =( apply( X, apply( apply( Y, Z ), Z ) ), apply( apply( w1,
% 0.82/1.34 Z ), apply( apply( b, apply( b, X ) ), Y ) ) ) ] )
% 0.82/1.34 , clause( 265, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1
% 0.82/1.34 , X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.82/1.34 , 0, clause( 266, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.82/1.34 ), Y ), Z ) ) ] )
% 0.82/1.34 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, apply( b, X ) ), :=( Z, Y )] )
% 0.82/1.34 , substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Z ) ), :=( Z, Z )] )
% 0.82/1.34 ).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 eqswap(
% 0.82/1.34 clause( 273, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) ),
% 0.82/1.34 Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.82/1.34 , clause( 269, [ =( apply( X, apply( apply( Y, Z ), Z ) ), apply( apply( w1
% 0.82/1.34 , Z ), apply( apply( b, apply( b, X ) ), Y ) ) ) ] )
% 0.82/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 subsumption(
% 0.82/1.34 clause( 102, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) ),
% 0.82/1.34 Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.82/1.34 , clause( 273, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) )
% 0.82/1.34 , Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.82/1.34 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.82/1.34 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 eqswap(
% 0.82/1.34 clause( 275, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1,
% 0.82/1.34 X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.82/1.34 , clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ),
% 0.82/1.34 apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.82/1.34 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 eqswap(
% 0.82/1.34 clause( 276, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) ) ]
% 0.82/1.34 )
% 0.82/1.34 , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.82/1.34 )
% 0.82/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 paramod(
% 0.82/1.34 clause( 278, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ), apply(
% 0.82/1.34 apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.82/1.34 , clause( 275, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1
% 0.82/1.34 , X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.82/1.34 , 0, clause( 276, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y
% 0.82/1.34 ) ) ] )
% 0.82/1.34 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, w1 ), :=( Z, Y )] ),
% 0.82/1.34 substitution( 1, [ :=( X, apply( Y, X ) ), :=( Y, X )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 eqswap(
% 0.82/1.34 clause( 280, [ =( apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ),
% 0.82/1.34 apply( apply( X, apply( Y, X ) ), apply( Y, X ) ) ) ] )
% 0.82/1.34 , clause( 278, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ),
% 0.82/1.34 apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.82/1.34 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 subsumption(
% 0.82/1.34 clause( 104, [ =( apply( apply( w1, Y ), apply( apply( b, w1 ), X ) ),
% 0.82/1.34 apply( apply( Y, apply( X, Y ) ), apply( X, Y ) ) ) ] )
% 0.82/1.34 , clause( 280, [ =( apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ),
% 0.82/1.34 apply( apply( X, apply( Y, X ) ), apply( Y, X ) ) ) ] )
% 0.82/1.34 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.34 )] ) ).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 eqswap(
% 0.82/1.34 clause( 281, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ), apply(
% 0.82/1.34 apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.82/1.34 , clause( 104, [ =( apply( apply( w1, Y ), apply( apply( b, w1 ), X ) ),
% 0.82/1.34 apply( apply( Y, apply( X, Y ) ), apply( X, Y ) ) ) ] )
% 0.82/1.34 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 eqswap(
% 0.82/1.34 clause( 282, [ =( apply( Y, apply( apply( Z, X ), X ) ), apply( apply( w1,
% 0.82/1.34 X ), apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 0.82/1.34 , clause( 102, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) )
% 0.82/1.34 , Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.82/1.34 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 paramod(
% 0.82/1.34 clause( 287, [ =( apply( X, apply( apply( w1, apply( apply( b, apply( b, X
% 0.82/1.34 ) ), w1 ) ), apply( apply( b, apply( b, X ) ), w1 ) ) ), apply( apply(
% 0.82/1.34 w1, w1 ), apply( apply( b, w1 ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.82/1.34 , clause( 281, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ),
% 0.82/1.34 apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.82/1.34 , 0, clause( 282, [ =( apply( Y, apply( apply( Z, X ), X ) ), apply( apply(
% 0.82/1.34 w1, X ), apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 0.82/1.34 , 0, 20, substitution( 0, [ :=( X, w1 ), :=( Y, apply( b, apply( b, X ) ) )] )
% 0.82/1.34 , substitution( 1, [ :=( X, apply( apply( b, apply( b, X ) ), w1 ) ),
% 0.82/1.34 :=( Y, X ), :=( Z, w1 )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 paramod(
% 0.82/1.34 clause( 289, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b, w1 ),
% 0.82/1.34 apply( b, apply( b, X ) ) ) ) ), apply( apply( w1, w1 ), apply( apply( b
% 0.82/1.34 , w1 ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.82/1.34 , clause( 281, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ),
% 0.82/1.34 apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.82/1.34 , 0, clause( 287, [ =( apply( X, apply( apply( w1, apply( apply( b, apply(
% 0.82/1.34 b, X ) ), w1 ) ), apply( apply( b, apply( b, X ) ), w1 ) ) ), apply(
% 0.82/1.34 apply( w1, w1 ), apply( apply( b, w1 ), apply( b, apply( b, X ) ) ) ) ) ]
% 0.82/1.34 )
% 0.82/1.34 , 0, 3, substitution( 0, [ :=( X, w1 ), :=( Y, apply( b, apply( b, X ) ) )] )
% 0.82/1.34 , substitution( 1, [ :=( X, X )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 paramod(
% 0.82/1.34 clause( 293, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b, w1 ),
% 0.82/1.34 apply( b, apply( b, X ) ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.82/1.34 , clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b
% 0.82/1.34 , apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.82/1.34 , 0, clause( 289, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b,
% 0.82/1.34 w1 ), apply( b, apply( b, X ) ) ) ) ), apply( apply( w1, w1 ), apply(
% 0.82/1.34 apply( b, w1 ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.82/1.34 , 0, 16, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.34 ).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 paramod(
% 0.82/1.34 clause( 294, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.82/1.34 'strong_fixed_point', X ) ) ] )
% 0.82/1.34 , clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b
% 0.82/1.34 , apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.82/1.34 , 0, clause( 293, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b,
% 0.82/1.34 w1 ), apply( b, apply( b, X ) ) ) ) ), apply( 'strong_fixed_point', X ) )
% 0.82/1.34 ] )
% 0.82/1.34 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.82/1.34 ).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 subsumption(
% 0.82/1.34 clause( 214, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.82/1.34 'strong_fixed_point', X ) ) ] )
% 0.82/1.34 , clause( 294, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.82/1.34 'strong_fixed_point', X ) ) ] )
% 0.82/1.34 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 eqswap(
% 0.82/1.34 clause( 298, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.82/1.34 'strong_fixed_point', X ) ) ) ] )
% 0.82/1.34 , clause( 214, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.82/1.34 'strong_fixed_point', X ) ) ] )
% 0.82/1.34 , 0, substitution( 0, [ :=( X, X )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 eqswap(
% 0.82/1.34 clause( 299, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.82/1.34 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.82/1.34 , clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.82/1.34 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.82/1.34 , 0, substitution( 0, [] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 resolution(
% 0.82/1.34 clause( 300, [] )
% 0.82/1.34 , clause( 299, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.82/1.34 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.82/1.34 , 0, clause( 298, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.82/1.34 'strong_fixed_point', X ) ) ) ] )
% 0.82/1.34 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'fixed_pt' )] )).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 subsumption(
% 0.82/1.34 clause( 219, [] )
% 0.82/1.34 , clause( 300, [] )
% 0.82/1.34 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 end.
% 0.82/1.34
% 0.82/1.34 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.82/1.34
% 0.82/1.34 Memory use:
% 0.82/1.34
% 0.82/1.34 space for terms: 4071
% 0.82/1.34 space for clauses: 28609
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 clauses generated: 24545
% 0.82/1.34 clauses kept: 220
% 0.82/1.34 clauses selected: 110
% 0.82/1.34 clauses deleted: 14
% 0.82/1.34 clauses inuse deleted: 0
% 0.82/1.34
% 0.82/1.34 subsentry: 1632
% 0.82/1.34 literals s-matched: 1419
% 0.82/1.34 literals matched: 1419
% 0.82/1.34 full subsumption: 0
% 0.82/1.34
% 0.82/1.34 checksum: -455962179
% 0.82/1.34
% 0.82/1.34
% 0.82/1.34 Bliksem ended
%------------------------------------------------------------------------------