TSTP Solution File: COL003-17 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL003-17 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 00:12:20 EDT 2022
% Result : Unsatisfiable 0.63s 1.10s
% Output : Refutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL003-17 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Tue May 31 09:42:51 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.63/1.10 *** allocated 10000 integers for termspace/termends
% 0.63/1.10 *** allocated 10000 integers for clauses
% 0.63/1.10 *** allocated 10000 integers for justifications
% 0.63/1.10 Bliksem 1.12
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 Automatic Strategy Selection
% 0.63/1.10
% 0.63/1.10 Clauses:
% 0.63/1.10 [
% 0.63/1.10 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.63/1.10 ],
% 0.63/1.10 [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ],
% 0.63/1.10 [ =( 'strong_fixed_point', apply( apply( b, apply( apply( b, apply(
% 0.63/1.10 apply( b, apply( w, w ) ), apply( b, w ) ) ), b ) ), b ) ) ],
% 0.63/1.10 [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply( 'fixed_pt',
% 0.63/1.10 apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ]
% 0.63/1.10 ] .
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 percentage equality = 1.000000, percentage horn = 1.000000
% 0.63/1.10 This is a pure equality problem
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 Options Used:
% 0.63/1.10
% 0.63/1.10 useres = 1
% 0.63/1.10 useparamod = 1
% 0.63/1.10 useeqrefl = 1
% 0.63/1.10 useeqfact = 1
% 0.63/1.10 usefactor = 1
% 0.63/1.10 usesimpsplitting = 0
% 0.63/1.10 usesimpdemod = 5
% 0.63/1.10 usesimpres = 3
% 0.63/1.10
% 0.63/1.10 resimpinuse = 1000
% 0.63/1.10 resimpclauses = 20000
% 0.63/1.10 substype = eqrewr
% 0.63/1.10 backwardsubs = 1
% 0.63/1.10 selectoldest = 5
% 0.63/1.10
% 0.63/1.10 litorderings [0] = split
% 0.63/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.63/1.10
% 0.63/1.10 termordering = kbo
% 0.63/1.10
% 0.63/1.10 litapriori = 0
% 0.63/1.10 termapriori = 1
% 0.63/1.10 litaposteriori = 0
% 0.63/1.10 termaposteriori = 0
% 0.63/1.10 demodaposteriori = 0
% 0.63/1.10 ordereqreflfact = 0
% 0.63/1.10
% 0.63/1.10 litselect = negord
% 0.63/1.10
% 0.63/1.10 maxweight = 15
% 0.63/1.10 maxdepth = 30000
% 0.63/1.10 maxlength = 115
% 0.63/1.10 maxnrvars = 195
% 0.63/1.10 excuselevel = 1
% 0.63/1.10 increasemaxweight = 1
% 0.63/1.10
% 0.63/1.10 maxselected = 10000000
% 0.63/1.10 maxnrclauses = 10000000
% 0.63/1.10
% 0.63/1.10 showgenerated = 0
% 0.63/1.10 showkept = 0
% 0.63/1.10 showselected = 0
% 0.63/1.10 showdeleted = 0
% 0.63/1.10 showresimp = 1
% 0.63/1.10 showstatus = 2000
% 0.63/1.10
% 0.63/1.10 prologoutput = 1
% 0.63/1.10 nrgoals = 5000000
% 0.63/1.10 totalproof = 1
% 0.63/1.10
% 0.63/1.10 Symbols occurring in the translation:
% 0.63/1.10
% 0.63/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.63/1.10 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.63/1.10 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.63/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.63/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.63/1.10 b [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.63/1.10 apply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.63/1.10 w [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.63/1.10 'strong_fixed_point' [45, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.63/1.10 'fixed_pt' [46, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 Starting Search:
% 0.63/1.10
% 0.63/1.10 Resimplifying inuse:
% 0.63/1.10 Done
% 0.63/1.10
% 0.63/1.10 Failed to find proof!
% 0.63/1.10 maxweight = 15
% 0.63/1.10 maxnrclauses = 10000000
% 0.63/1.10 Generated: 1071
% 0.63/1.10 Kept: 27
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 The strategy used was not complete!
% 0.63/1.10
% 0.63/1.10 Increased maxweight to 16
% 0.63/1.10
% 0.63/1.10 Starting Search:
% 0.63/1.10
% 0.63/1.10 Resimplifying inuse:
% 0.63/1.10 Done
% 0.63/1.10
% 0.63/1.10 Failed to find proof!
% 0.63/1.10 maxweight = 16
% 0.63/1.10 maxnrclauses = 10000000
% 0.63/1.10 Generated: 1071
% 0.63/1.10 Kept: 27
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 The strategy used was not complete!
% 0.63/1.10
% 0.63/1.10 Increased maxweight to 17
% 0.63/1.10
% 0.63/1.10 Starting Search:
% 0.63/1.10
% 0.63/1.10 Resimplifying inuse:
% 0.63/1.10 Done
% 0.63/1.10
% 0.63/1.10 Failed to find proof!
% 0.63/1.10 maxweight = 17
% 0.63/1.10 maxnrclauses = 10000000
% 0.63/1.10 Generated: 3437
% 0.63/1.10 Kept: 68
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 The strategy used was not complete!
% 0.63/1.10
% 0.63/1.10 Increased maxweight to 18
% 0.63/1.10
% 0.63/1.10 Starting Search:
% 0.63/1.10
% 0.63/1.10 Resimplifying inuse:
% 0.63/1.10 Done
% 0.63/1.10
% 0.63/1.10 Failed to find proof!
% 0.63/1.10 maxweight = 18
% 0.63/1.10 maxnrclauses = 10000000
% 0.63/1.10 Generated: 3437
% 0.63/1.10 Kept: 68
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 The strategy used was not complete!
% 0.63/1.10
% 0.63/1.10 Increased maxweight to 19
% 0.63/1.10
% 0.63/1.10 Starting Search:
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 Bliksems!, er is een bewijs:
% 0.63/1.10 % SZS status Unsatisfiable
% 0.63/1.10 % SZS output start Refutation
% 0.63/1.10
% 0.63/1.10 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.63/1.10 Z ) ) ) ] )
% 0.63/1.10 .
% 0.63/1.10 clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 0.63/1.10 .
% 0.63/1.10 clause( 2, [ =( apply( apply( b, apply( apply( b, apply( apply( b, apply( w
% 0.63/1.10 , w ) ), apply( b, w ) ) ), b ) ), b ), 'strong_fixed_point' ) ] )
% 0.63/1.10 .
% 0.63/1.10 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.63/1.10 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.63/1.10 .
% 0.63/1.10 clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ] )
% 0.63/1.10 .
% 0.63/1.10 clause( 6, [ =( apply( apply( w, apply( X, Y ) ), Y ), apply( apply( apply(
% 0.63/1.10 w, X ), Y ), Y ) ) ] )
% 0.63/1.10 .
% 0.63/1.10 clause( 11, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 0.63/1.10 , Y ) ) ) ] )
% 0.63/1.10 .
% 0.63/1.10 clause( 17, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y ),
% 0.63/1.10 Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.63/1.10 .
% 0.63/1.10 clause( 24, [ =( apply( apply( w, w ), apply( apply( b, w ), apply( b,
% 0.63/1.10 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.63/1.10 .
% 0.63/1.10 clause( 128, [ =( apply( apply( apply( w, apply( b, apply( b, Y ) ) ), X )
% 0.63/1.10 , X ), apply( Y, apply( apply( w, w ), X ) ) ) ] )
% 0.63/1.10 .
% 0.63/1.10 clause( 167, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.63/1.10 'strong_fixed_point', X ) ) ] )
% 0.63/1.10 .
% 0.63/1.10 clause( 168, [] )
% 0.63/1.10 .
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 % SZS output end Refutation
% 0.63/1.10 found a proof!
% 0.63/1.10
% 0.63/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.63/1.10
% 0.63/1.10 initialclauses(
% 0.63/1.10 [ clause( 170, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.63/1.10 Y, Z ) ) ) ] )
% 0.63/1.10 , clause( 171, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 0.63/1.10 ] )
% 0.63/1.10 , clause( 172, [ =( 'strong_fixed_point', apply( apply( b, apply( apply( b
% 0.63/1.10 , apply( apply( b, apply( w, w ) ), apply( b, w ) ) ), b ) ), b ) ) ] )
% 0.63/1.10 , clause( 173, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.63/1.10 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.63/1.10 ] ).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 subsumption(
% 0.63/1.10 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.63/1.10 Z ) ) ) ] )
% 0.63/1.10 , clause( 170, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.63/1.10 Y, Z ) ) ) ] )
% 0.63/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.63/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 subsumption(
% 0.63/1.10 clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 0.63/1.10 , clause( 171, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 0.63/1.10 ] )
% 0.63/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.63/1.10 )] ) ).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 eqswap(
% 0.63/1.10 clause( 179, [ =( apply( apply( b, apply( apply( b, apply( apply( b, apply(
% 0.63/1.10 w, w ) ), apply( b, w ) ) ), b ) ), b ), 'strong_fixed_point' ) ] )
% 0.63/1.10 , clause( 172, [ =( 'strong_fixed_point', apply( apply( b, apply( apply( b
% 0.63/1.10 , apply( apply( b, apply( w, w ) ), apply( b, w ) ) ), b ) ), b ) ) ] )
% 0.63/1.10 , 0, substitution( 0, [] )).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 subsumption(
% 0.63/1.10 clause( 2, [ =( apply( apply( b, apply( apply( b, apply( apply( b, apply( w
% 0.63/1.10 , w ) ), apply( b, w ) ) ), b ) ), b ), 'strong_fixed_point' ) ] )
% 0.63/1.10 , clause( 179, [ =( apply( apply( b, apply( apply( b, apply( apply( b,
% 0.63/1.10 apply( w, w ) ), apply( b, w ) ) ), b ) ), b ), 'strong_fixed_point' ) ]
% 0.63/1.10 )
% 0.63/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 eqswap(
% 0.63/1.10 clause( 183, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.63/1.10 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.63/1.10 , clause( 173, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.63/1.10 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.63/1.10 , 0, substitution( 0, [] )).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 subsumption(
% 0.63/1.10 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.63/1.10 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.63/1.10 , clause( 183, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.63/1.10 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.63/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 eqswap(
% 0.63/1.10 clause( 184, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.63/1.10 )
% 0.63/1.10 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.63/1.10 )
% 0.63/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 eqswap(
% 0.63/1.10 clause( 185, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.63/1.10 )
% 0.63/1.10 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.63/1.10 )
% 0.63/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 paramod(
% 0.63/1.10 clause( 188, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) ) ]
% 0.63/1.10 )
% 0.63/1.10 , clause( 184, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 0.63/1.10 ] )
% 0.63/1.10 , 0, clause( 185, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y )
% 0.63/1.10 ) ] )
% 0.63/1.10 , 0, 6, substitution( 0, [ :=( X, w ), :=( Y, X )] ), substitution( 1, [
% 0.63/1.10 :=( X, X ), :=( Y, X )] )).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 eqswap(
% 0.63/1.10 clause( 194, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 0.63/1.10 )
% 0.63/1.10 , clause( 188, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 0.63/1.10 ] )
% 0.63/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 subsumption(
% 0.63/1.10 clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ] )
% 0.63/1.10 , clause( 194, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) )
% 0.63/1.10 ] )
% 0.63/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 eqswap(
% 0.63/1.10 clause( 195, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.63/1.10 )
% 0.63/1.10 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.63/1.10 )
% 0.63/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 eqswap(
% 0.63/1.10 clause( 196, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.63/1.10 )
% 0.63/1.10 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.63/1.10 )
% 0.63/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 paramod(
% 0.63/1.10 clause( 198, [ =( apply( apply( apply( w, X ), Y ), Y ), apply( apply( w,
% 0.63/1.10 apply( X, Y ) ), Y ) ) ] )
% 0.63/1.10 , clause( 195, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 0.63/1.10 ] )
% 0.63/1.10 , 0, clause( 196, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y )
% 0.63/1.10 ) ] )
% 0.63/1.10 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.63/1.10 :=( X, apply( X, Y ) ), :=( Y, Y )] )).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 eqswap(
% 0.63/1.10 clause( 203, [ =( apply( apply( w, apply( X, Y ) ), Y ), apply( apply(
% 0.63/1.10 apply( w, X ), Y ), Y ) ) ] )
% 0.63/1.10 , clause( 198, [ =( apply( apply( apply( w, X ), Y ), Y ), apply( apply( w
% 0.63/1.10 , apply( X, Y ) ), Y ) ) ] )
% 0.63/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 subsumption(
% 0.63/1.10 clause( 6, [ =( apply( apply( w, apply( X, Y ) ), Y ), apply( apply( apply(
% 0.63/1.10 w, X ), Y ), Y ) ) ] )
% 0.63/1.10 , clause( 203, [ =( apply( apply( w, apply( X, Y ) ), Y ), apply( apply(
% 0.63/1.10 apply( w, X ), Y ), Y ) ) ] )
% 0.63/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.63/1.10 )] ) ).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 eqswap(
% 0.63/1.10 clause( 206, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.63/1.10 ), Z ) ) ] )
% 0.63/1.10 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.63/1.10 , Z ) ) ) ] )
% 0.63/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 eqswap(
% 0.63/1.10 clause( 207, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.63/1.10 )
% 0.63/1.10 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.63/1.10 )
% 0.63/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 paramod(
% 0.63/1.10 clause( 210, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X )
% 0.63/1.10 ), Y ) ) ] )
% 0.63/1.10 , clause( 207, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 0.63/1.10 ] )
% 0.63/1.10 , 0, clause( 206, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.63/1.10 ), Y ), Z ) ) ] )
% 0.63/1.10 , 0, 6, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 0.63/1.10 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 eqswap(
% 0.63/1.10 clause( 214, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 0.63/1.10 , Y ) ) ) ] )
% 0.63/1.10 , clause( 210, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X
% 0.63/1.10 ) ), Y ) ) ] )
% 0.63/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 subsumption(
% 0.63/1.10 clause( 11, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 0.63/1.10 , Y ) ) ) ] )
% 0.63/1.10 , clause( 214, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply(
% 0.63/1.10 Y, Y ) ) ) ] )
% 0.63/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.63/1.10 )] ) ).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 eqswap(
% 0.63/1.10 clause( 216, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X )
% 0.63/1.10 ), Y ) ) ] )
% 0.63/1.10 , clause( 11, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply(
% 0.63/1.10 Y, Y ) ) ) ] )
% 0.63/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.63/1.10
% 0.63/1.10
% 0.63/1.10 eqswap(
% 0.63/1.10 clause( 217, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.63/1.11 ), Z ) ) ] )
% 0.63/1.11 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.63/1.11 , Z ) ) ) ] )
% 0.63/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 paramod(
% 0.63/1.11 clause( 221, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.63/1.11 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.63/1.11 , clause( 216, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X
% 0.63/1.11 ) ), Y ) ) ] )
% 0.63/1.11 , 0, clause( 217, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.63/1.11 ), Y ), Z ) ) ] )
% 0.63/1.11 , 0, 9, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 0.63/1.11 substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Y ) ), :=( Z, Z )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 eqswap(
% 0.63/1.11 clause( 229, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 0.63/1.11 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.63/1.11 , clause( 221, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.63/1.11 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.63/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 subsumption(
% 0.63/1.11 clause( 17, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y ),
% 0.63/1.11 Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.63/1.11 , clause( 229, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y
% 0.63/1.11 ), Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.63/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.63/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 eqswap(
% 0.63/1.11 clause( 233, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.63/1.11 ), Z ) ) ] )
% 0.63/1.11 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.63/1.11 , Z ) ) ) ] )
% 0.63/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 paramod(
% 0.63/1.11 clause( 237, [ =( apply( apply( apply( b, apply( apply( b, apply( w, w ) )
% 0.63/1.11 , apply( b, w ) ) ), b ), apply( b, X ) ), apply( 'strong_fixed_point', X
% 0.63/1.11 ) ) ] )
% 0.63/1.11 , clause( 2, [ =( apply( apply( b, apply( apply( b, apply( apply( b, apply(
% 0.63/1.11 w, w ) ), apply( b, w ) ) ), b ) ), b ), 'strong_fixed_point' ) ] )
% 0.63/1.11 , 0, clause( 233, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.63/1.11 ), Y ), Z ) ) ] )
% 0.63/1.11 , 0, 19, substitution( 0, [] ), substitution( 1, [ :=( X, apply( apply( b,
% 0.63/1.11 apply( apply( b, apply( w, w ) ), apply( b, w ) ) ), b ) ), :=( Y, b ),
% 0.63/1.11 :=( Z, X )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 paramod(
% 0.63/1.11 clause( 238, [ =( apply( apply( apply( b, apply( w, w ) ), apply( b, w ) )
% 0.63/1.11 , apply( b, apply( b, X ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.63/1.11 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.63/1.11 , Z ) ) ) ] )
% 0.63/1.11 , 0, clause( 237, [ =( apply( apply( apply( b, apply( apply( b, apply( w, w
% 0.63/1.11 ) ), apply( b, w ) ) ), b ), apply( b, X ) ), apply(
% 0.63/1.11 'strong_fixed_point', X ) ) ] )
% 0.63/1.11 , 0, 1, substitution( 0, [ :=( X, apply( apply( b, apply( w, w ) ), apply(
% 0.63/1.11 b, w ) ) ), :=( Y, b ), :=( Z, apply( b, X ) )] ), substitution( 1, [
% 0.63/1.11 :=( X, X )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 paramod(
% 0.63/1.11 clause( 240, [ =( apply( apply( w, w ), apply( apply( b, w ), apply( b,
% 0.63/1.11 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.63/1.11 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.63/1.11 , Z ) ) ) ] )
% 0.63/1.11 , 0, clause( 238, [ =( apply( apply( apply( b, apply( w, w ) ), apply( b, w
% 0.63/1.11 ) ), apply( b, apply( b, X ) ) ), apply( 'strong_fixed_point', X ) ) ]
% 0.63/1.11 )
% 0.63/1.11 , 0, 1, substitution( 0, [ :=( X, apply( w, w ) ), :=( Y, apply( b, w ) ),
% 0.63/1.11 :=( Z, apply( b, apply( b, X ) ) )] ), substitution( 1, [ :=( X, X )] )
% 0.63/1.11 ).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 subsumption(
% 0.63/1.11 clause( 24, [ =( apply( apply( w, w ), apply( apply( b, w ), apply( b,
% 0.63/1.11 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.63/1.11 , clause( 240, [ =( apply( apply( w, w ), apply( apply( b, w ), apply( b,
% 0.63/1.11 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.63/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 eqswap(
% 0.63/1.11 clause( 242, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) ) ]
% 0.63/1.11 )
% 0.63/1.11 , clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 0.63/1.11 )
% 0.63/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 eqswap(
% 0.63/1.11 clause( 243, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.63/1.11 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.63/1.11 , clause( 17, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 0.63/1.11 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.63/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 paramod(
% 0.63/1.11 clause( 245, [ =( apply( X, apply( apply( w, w ), Y ) ), apply( apply(
% 0.63/1.11 apply( w, apply( b, apply( b, X ) ) ), Y ), Y ) ) ] )
% 0.63/1.11 , clause( 242, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 0.63/1.11 ] )
% 0.63/1.11 , 0, clause( 243, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.63/1.11 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.63/1.11 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.63/1.11 :=( Y, Y ), :=( Z, Y )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 eqswap(
% 0.63/1.11 clause( 249, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 0.63/1.11 , Y ), apply( X, apply( apply( w, w ), Y ) ) ) ] )
% 0.63/1.11 , clause( 245, [ =( apply( X, apply( apply( w, w ), Y ) ), apply( apply(
% 0.63/1.11 apply( w, apply( b, apply( b, X ) ) ), Y ), Y ) ) ] )
% 0.63/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 subsumption(
% 0.63/1.11 clause( 128, [ =( apply( apply( apply( w, apply( b, apply( b, Y ) ) ), X )
% 0.63/1.11 , X ), apply( Y, apply( apply( w, w ), X ) ) ) ] )
% 0.63/1.11 , clause( 249, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y
% 0.63/1.11 ), Y ), apply( X, apply( apply( w, w ), Y ) ) ) ] )
% 0.63/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.63/1.11 )] ) ).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 eqswap(
% 0.63/1.11 clause( 252, [ =( apply( 'strong_fixed_point', X ), apply( apply( w, w ),
% 0.63/1.11 apply( apply( b, w ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.63/1.11 , clause( 24, [ =( apply( apply( w, w ), apply( apply( b, w ), apply( b,
% 0.63/1.11 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.63/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 paramod(
% 0.63/1.11 clause( 258, [ =( apply( 'strong_fixed_point', X ), apply( apply( apply(
% 0.63/1.11 apply( b, w ), apply( b, apply( b, X ) ) ), apply( apply( b, w ), apply(
% 0.63/1.11 b, apply( b, X ) ) ) ), apply( apply( b, w ), apply( b, apply( b, X ) ) )
% 0.63/1.11 ) ) ] )
% 0.63/1.11 , clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 0.63/1.11 )
% 0.63/1.11 , 0, clause( 252, [ =( apply( 'strong_fixed_point', X ), apply( apply( w, w
% 0.63/1.11 ), apply( apply( b, w ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.63/1.11 , 0, 4, substitution( 0, [ :=( X, apply( apply( b, w ), apply( b, apply( b
% 0.63/1.11 , X ) ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 paramod(
% 0.63/1.11 clause( 259, [ =( apply( 'strong_fixed_point', X ), apply( apply( w, apply(
% 0.63/1.11 apply( b, apply( b, X ) ), apply( apply( b, w ), apply( b, apply( b, X )
% 0.63/1.11 ) ) ) ), apply( apply( b, w ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.63/1.11 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.63/1.11 , Z ) ) ) ] )
% 0.63/1.11 , 0, clause( 258, [ =( apply( 'strong_fixed_point', X ), apply( apply(
% 0.63/1.11 apply( apply( b, w ), apply( b, apply( b, X ) ) ), apply( apply( b, w ),
% 0.63/1.11 apply( b, apply( b, X ) ) ) ), apply( apply( b, w ), apply( b, apply( b,
% 0.63/1.11 X ) ) ) ) ) ] )
% 0.63/1.11 , 0, 5, substitution( 0, [ :=( X, w ), :=( Y, apply( b, apply( b, X ) ) ),
% 0.63/1.11 :=( Z, apply( apply( b, w ), apply( b, apply( b, X ) ) ) )] ),
% 0.63/1.11 substitution( 1, [ :=( X, X )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 paramod(
% 0.63/1.11 clause( 260, [ =( apply( 'strong_fixed_point', X ), apply( apply( apply( w
% 0.63/1.11 , apply( b, apply( b, X ) ) ), apply( apply( b, w ), apply( b, apply( b,
% 0.63/1.11 X ) ) ) ), apply( apply( b, w ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.63/1.11 , clause( 6, [ =( apply( apply( w, apply( X, Y ) ), Y ), apply( apply(
% 0.63/1.11 apply( w, X ), Y ), Y ) ) ] )
% 0.63/1.11 , 0, clause( 259, [ =( apply( 'strong_fixed_point', X ), apply( apply( w,
% 0.63/1.11 apply( apply( b, apply( b, X ) ), apply( apply( b, w ), apply( b, apply(
% 0.63/1.11 b, X ) ) ) ) ), apply( apply( b, w ), apply( b, apply( b, X ) ) ) ) ) ]
% 0.63/1.11 )
% 0.63/1.11 , 0, 4, substitution( 0, [ :=( X, apply( b, apply( b, X ) ) ), :=( Y, apply(
% 0.63/1.11 apply( b, w ), apply( b, apply( b, X ) ) ) )] ), substitution( 1, [ :=( X
% 0.63/1.11 , X )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 paramod(
% 0.63/1.11 clause( 261, [ =( apply( 'strong_fixed_point', X ), apply( X, apply( apply(
% 0.63/1.11 w, w ), apply( apply( b, w ), apply( b, apply( b, X ) ) ) ) ) ) ] )
% 0.63/1.11 , clause( 128, [ =( apply( apply( apply( w, apply( b, apply( b, Y ) ) ), X
% 0.63/1.11 ), X ), apply( Y, apply( apply( w, w ), X ) ) ) ] )
% 0.63/1.11 , 0, clause( 260, [ =( apply( 'strong_fixed_point', X ), apply( apply(
% 0.63/1.11 apply( w, apply( b, apply( b, X ) ) ), apply( apply( b, w ), apply( b,
% 0.63/1.11 apply( b, X ) ) ) ), apply( apply( b, w ), apply( b, apply( b, X ) ) ) )
% 0.63/1.11 ) ] )
% 0.63/1.11 , 0, 4, substitution( 0, [ :=( X, apply( apply( b, w ), apply( b, apply( b
% 0.63/1.11 , X ) ) ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 paramod(
% 0.63/1.11 clause( 262, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.63/1.11 'strong_fixed_point', X ) ) ) ] )
% 0.63/1.11 , clause( 24, [ =( apply( apply( w, w ), apply( apply( b, w ), apply( b,
% 0.63/1.11 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.63/1.11 , 0, clause( 261, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.63/1.11 apply( w, w ), apply( apply( b, w ), apply( b, apply( b, X ) ) ) ) ) ) ]
% 0.63/1.11 )
% 0.63/1.11 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.63/1.11 ).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 eqswap(
% 0.63/1.11 clause( 263, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.63/1.11 'strong_fixed_point', X ) ) ] )
% 0.63/1.11 , clause( 262, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.63/1.11 'strong_fixed_point', X ) ) ) ] )
% 0.63/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 subsumption(
% 0.63/1.11 clause( 167, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.63/1.11 'strong_fixed_point', X ) ) ] )
% 0.63/1.11 , clause( 263, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.63/1.11 'strong_fixed_point', X ) ) ] )
% 0.63/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 eqswap(
% 0.63/1.11 clause( 264, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.63/1.11 'strong_fixed_point', X ) ) ) ] )
% 0.63/1.11 , clause( 167, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.63/1.11 'strong_fixed_point', X ) ) ] )
% 0.63/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 eqswap(
% 0.63/1.11 clause( 265, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.63/1.11 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.63/1.11 , clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.63/1.11 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.63/1.11 , 0, substitution( 0, [] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 resolution(
% 0.63/1.11 clause( 266, [] )
% 0.63/1.11 , clause( 265, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.63/1.11 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.63/1.11 , 0, clause( 264, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.63/1.11 'strong_fixed_point', X ) ) ) ] )
% 0.63/1.11 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'fixed_pt' )] )).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 subsumption(
% 0.63/1.11 clause( 168, [] )
% 0.63/1.11 , clause( 266, [] )
% 0.63/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 end.
% 0.63/1.11
% 0.63/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.63/1.11
% 0.63/1.11 Memory use:
% 0.63/1.11
% 0.63/1.11 space for terms: 3086
% 0.63/1.11 space for clauses: 21385
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 clauses generated: 6618
% 0.63/1.11 clauses kept: 169
% 0.63/1.11 clauses selected: 54
% 0.63/1.11 clauses deleted: 8
% 0.63/1.11 clauses inuse deleted: 0
% 0.63/1.11
% 0.63/1.11 subsentry: 1054
% 0.63/1.11 literals s-matched: 688
% 0.63/1.11 literals matched: 672
% 0.63/1.11 full subsumption: 0
% 0.63/1.11
% 0.63/1.11 checksum: 2117124575
% 0.63/1.11
% 0.63/1.11
% 0.63/1.11 Bliksem ended
%------------------------------------------------------------------------------