TSTP Solution File: COL003-5 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL003-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 32.72s 33.18s
% Output : Refutation 32.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL003-5 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Tue May 31 07:39:58 EDT 2022
% 0.14/0.34 % CPUTime :
% 32.72/33.18 *** allocated 10000 integers for termspace/termends
% 32.72/33.18 *** allocated 10000 integers for clauses
% 32.72/33.18 *** allocated 10000 integers for justifications
% 32.72/33.18 Bliksem 1.12
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 Automatic Strategy Selection
% 32.72/33.18
% 32.72/33.18 Clauses:
% 32.72/33.18 [
% 32.72/33.18 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 32.72/33.18 ],
% 32.72/33.18 [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ],
% 32.72/33.18 [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X, 'fixed_pt'
% 32.72/33.18 ) ) ) ), 'fixed_point'( X ) ],
% 32.72/33.18 [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply( w, w ) ), w
% 32.72/33.18 ) ), apply( apply( b, b ), b ) ) ) ) ]
% 32.72/33.18 ] .
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 percentage equality = 0.600000, percentage horn = 1.000000
% 32.72/33.18 This is a problem with some equality
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 Options Used:
% 32.72/33.18
% 32.72/33.18 useres = 1
% 32.72/33.18 useparamod = 1
% 32.72/33.18 useeqrefl = 1
% 32.72/33.18 useeqfact = 1
% 32.72/33.18 usefactor = 1
% 32.72/33.18 usesimpsplitting = 0
% 32.72/33.18 usesimpdemod = 5
% 32.72/33.18 usesimpres = 3
% 32.72/33.18
% 32.72/33.18 resimpinuse = 1000
% 32.72/33.18 resimpclauses = 20000
% 32.72/33.18 substype = eqrewr
% 32.72/33.18 backwardsubs = 1
% 32.72/33.18 selectoldest = 5
% 32.72/33.18
% 32.72/33.18 litorderings [0] = split
% 32.72/33.18 litorderings [1] = extend the termordering, first sorting on arguments
% 32.72/33.18
% 32.72/33.18 termordering = kbo
% 32.72/33.18
% 32.72/33.18 litapriori = 0
% 32.72/33.18 termapriori = 1
% 32.72/33.18 litaposteriori = 0
% 32.72/33.18 termaposteriori = 0
% 32.72/33.18 demodaposteriori = 0
% 32.72/33.18 ordereqreflfact = 0
% 32.72/33.18
% 32.72/33.18 litselect = negord
% 32.72/33.18
% 32.72/33.18 maxweight = 15
% 32.72/33.18 maxdepth = 30000
% 32.72/33.18 maxlength = 115
% 32.72/33.18 maxnrvars = 195
% 32.72/33.18 excuselevel = 1
% 32.72/33.18 increasemaxweight = 1
% 32.72/33.18
% 32.72/33.18 maxselected = 10000000
% 32.72/33.18 maxnrclauses = 10000000
% 32.72/33.18
% 32.72/33.18 showgenerated = 0
% 32.72/33.18 showkept = 0
% 32.72/33.18 showselected = 0
% 32.72/33.18 showdeleted = 0
% 32.72/33.18 showresimp = 1
% 32.72/33.18 showstatus = 2000
% 32.72/33.18
% 32.72/33.18 prologoutput = 1
% 32.72/33.18 nrgoals = 5000000
% 32.72/33.18 totalproof = 1
% 32.72/33.18
% 32.72/33.18 Symbols occurring in the translation:
% 32.72/33.18
% 32.72/33.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 32.72/33.18 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 32.72/33.18 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 32.72/33.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 32.72/33.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 32.72/33.18 b [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 32.72/33.18 apply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 32.72/33.18 w [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 32.72/33.18 'fixed_pt' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 32.72/33.18 'fixed_point' [47, 1] (w:1, o:21, a:1, s:1, b:0).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 Starting Search:
% 32.72/33.18
% 32.72/33.18 Resimplifying inuse:
% 32.72/33.18 Done
% 32.72/33.18
% 32.72/33.18 Failed to find proof!
% 32.72/33.18 maxweight = 15
% 32.72/33.18 maxnrclauses = 10000000
% 32.72/33.18 Generated: 1220
% 32.72/33.18 Kept: 34
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 The strategy used was not complete!
% 32.72/33.18
% 32.72/33.18 Increased maxweight to 16
% 32.72/33.18
% 32.72/33.18 Starting Search:
% 32.72/33.18
% 32.72/33.18 Resimplifying inuse:
% 32.72/33.18 Done
% 32.72/33.18
% 32.72/33.18 Failed to find proof!
% 32.72/33.18 maxweight = 16
% 32.72/33.18 maxnrclauses = 10000000
% 32.72/33.18 Generated: 1227
% 32.72/33.18 Kept: 35
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 The strategy used was not complete!
% 32.72/33.18
% 32.72/33.18 Increased maxweight to 17
% 32.72/33.18
% 32.72/33.18 Starting Search:
% 32.72/33.18
% 32.72/33.18 Resimplifying inuse:
% 32.72/33.18 Done
% 32.72/33.18
% 32.72/33.18 Failed to find proof!
% 32.72/33.18 maxweight = 17
% 32.72/33.18 maxnrclauses = 10000000
% 32.72/33.18 Generated: 3957
% 32.72/33.18 Kept: 81
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 The strategy used was not complete!
% 32.72/33.18
% 32.72/33.18 Increased maxweight to 18
% 32.72/33.18
% 32.72/33.18 Starting Search:
% 32.72/33.18
% 32.72/33.18 Resimplifying inuse:
% 32.72/33.18 Done
% 32.72/33.18
% 32.72/33.18 Failed to find proof!
% 32.72/33.18 maxweight = 18
% 32.72/33.18 maxnrclauses = 10000000
% 32.72/33.18 Generated: 4020
% 32.72/33.18 Kept: 87
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 The strategy used was not complete!
% 32.72/33.18
% 32.72/33.18 Increased maxweight to 19
% 32.72/33.18
% 32.72/33.18 Starting Search:
% 32.72/33.18
% 32.72/33.18 Resimplifying inuse:
% 32.72/33.18 Done
% 32.72/33.18
% 32.72/33.18 Failed to find proof!
% 32.72/33.18 maxweight = 19
% 32.72/33.18 maxnrclauses = 10000000
% 32.72/33.18 Generated: 104513
% 32.72/33.18 Kept: 259
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 The strategy used was not complete!
% 32.72/33.18
% 32.72/33.18 Increased maxweight to 20
% 32.72/33.18
% 32.72/33.18 Starting Search:
% 32.72/33.18
% 32.72/33.18 Resimplifying inuse:
% 32.72/33.18 Done
% 32.72/33.18
% 32.72/33.18 Failed to find proof!
% 32.72/33.18 maxweight = 20
% 32.72/33.18 maxnrclauses = 10000000
% 32.72/33.18 Generated: 104656
% 32.72/33.18 Kept: 267
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 The strategy used was not complete!
% 32.72/33.18
% 32.72/33.18 Increased maxweight to 21
% 32.72/33.18
% 32.72/33.18 Starting Search:
% 32.72/33.18
% 32.72/33.18 Resimplifying inuse:
% 32.72/33.18 Done
% 32.72/33.18
% 32.72/33.18 Failed to find proof!
% 32.72/33.18 maxweight = 21
% 32.72/33.18 maxnrclauses = 10000000
% 32.72/33.18 Generated: 478553
% 32.72/33.18 Kept: 696
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 The strategy used was not complete!
% 32.72/33.18
% 32.72/33.18 Increased maxweight to 22
% 32.72/33.18
% 32.72/33.18 Starting Search:
% 32.72/33.18
% 32.72/33.18 Resimplifying inuse:
% 32.72/33.18 Done
% 32.72/33.18
% 32.72/33.18 Failed to find proof!
% 32.72/33.18 maxweight = 22
% 32.72/33.18 maxnrclauses = 10000000
% 32.72/33.18 Generated: 478955
% 32.72/33.18 Kept: 718
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 The strategy used was not complete!
% 32.72/33.18
% 32.72/33.18 Increased maxweight to 23
% 32.72/33.18
% 32.72/33.18 Starting Search:
% 32.72/33.18
% 32.72/33.18 Resimplifying inuse:
% 32.72/33.18 Done
% 32.72/33.18
% 32.72/33.18 Resimplifying inuse:
% 32.72/33.18 Done
% 32.72/33.18
% 32.72/33.18 Failed to find proof!
% 32.72/33.18 maxweight = 23
% 32.72/33.18 maxnrclauses = 10000000
% 32.72/33.18 Generated: 2291351
% 32.72/33.18 Kept: 1779
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 The strategy used was not complete!
% 32.72/33.18
% 32.72/33.18 Increased maxweight to 24
% 32.72/33.18
% 32.72/33.18 Starting Search:
% 32.72/33.18
% 32.72/33.18 Resimplifying inuse:
% 32.72/33.18 Done
% 32.72/33.18
% 32.72/33.18 Resimplifying inuse:
% 32.72/33.18 Done
% 32.72/33.18
% 32.72/33.18 Failed to find proof!
% 32.72/33.18 maxweight = 24
% 32.72/33.18 maxnrclauses = 10000000
% 32.72/33.18 Generated: 2291539
% 32.72/33.18 Kept: 1785
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 The strategy used was not complete!
% 32.72/33.18
% 32.72/33.18 Increased maxweight to 25
% 32.72/33.18
% 32.72/33.18 Starting Search:
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 Bliksems!, er is een bewijs:
% 32.72/33.18 % SZS status Unsatisfiable
% 32.72/33.18 % SZS output start Refutation
% 32.72/33.18
% 32.72/33.18 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 32.72/33.18 Z ) ) ) ] )
% 32.72/33.18 .
% 32.72/33.18 clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 32.72/33.18 .
% 32.72/33.18 clause( 2, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X,
% 32.72/33.18 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 32.72/33.18 .
% 32.72/33.18 clause( 3, [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply( w,
% 32.72/33.18 w ) ), w ) ), apply( apply( b, b ), b ) ) ) ) ] )
% 32.72/33.18 .
% 32.72/33.18 clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ] )
% 32.72/33.18 .
% 32.72/33.18 clause( 18, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 32.72/33.18 , Y ) ) ) ] )
% 32.72/33.18 .
% 32.72/33.18 clause( 26, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y ),
% 32.72/33.18 Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 32.72/33.18 .
% 32.72/33.18 clause( 40, [ ~( =( apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 32.72/33.18 apply( b, apply( b, 'fixed_pt' ) ) ) ) ), apply( apply( w, w ), apply( w
% 32.72/33.18 , apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ] )
% 32.72/33.18 .
% 32.72/33.18 clause( 677, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b, apply(
% 32.72/33.18 b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 32.72/33.18 ) ) ) ] )
% 32.72/33.18 .
% 32.72/33.18 clause( 963, [] )
% 32.72/33.18 .
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 % SZS output end Refutation
% 32.72/33.18 found a proof!
% 32.72/33.18
% 32.72/33.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 32.72/33.18
% 32.72/33.18 initialclauses(
% 32.72/33.18 [ clause( 965, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 32.72/33.18 Y, Z ) ) ) ] )
% 32.72/33.18 , clause( 966, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 32.72/33.18 ] )
% 32.72/33.18 , clause( 967, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X
% 32.72/33.18 , 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 32.72/33.18 , clause( 968, [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply(
% 32.72/33.18 w, w ) ), w ) ), apply( apply( b, b ), b ) ) ) ) ] )
% 32.72/33.18 ] ).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 subsumption(
% 32.72/33.18 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 32.72/33.18 Z ) ) ) ] )
% 32.72/33.18 , clause( 965, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 32.72/33.18 Y, Z ) ) ) ] )
% 32.72/33.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 32.72/33.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 subsumption(
% 32.72/33.18 clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 32.72/33.18 , clause( 966, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 32.72/33.18 ] )
% 32.72/33.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 32.72/33.18 )] ) ).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 eqswap(
% 32.72/33.18 clause( 974, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X
% 32.72/33.18 , 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 32.72/33.18 , clause( 967, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X
% 32.72/33.18 , 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 32.72/33.18 , 0, substitution( 0, [ :=( X, X )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 subsumption(
% 32.72/33.18 clause( 2, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X,
% 32.72/33.18 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 32.72/33.18 , clause( 974, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply(
% 32.72/33.18 X, 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 32.72/33.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 32.72/33.18 1 )] ) ).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 subsumption(
% 32.72/33.18 clause( 3, [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply( w,
% 32.72/33.18 w ) ), w ) ), apply( apply( b, b ), b ) ) ) ) ] )
% 32.72/33.18 , clause( 968, [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply(
% 32.72/33.18 w, w ) ), w ) ), apply( apply( b, b ), b ) ) ) ) ] )
% 32.72/33.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 eqswap(
% 32.72/33.18 clause( 978, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 32.72/33.18 )
% 32.72/33.18 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 32.72/33.18 )
% 32.72/33.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 eqswap(
% 32.72/33.18 clause( 979, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 32.72/33.18 )
% 32.72/33.18 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 32.72/33.18 )
% 32.72/33.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 paramod(
% 32.72/33.18 clause( 982, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) ) ]
% 32.72/33.18 )
% 32.72/33.18 , clause( 978, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 32.72/33.18 ] )
% 32.72/33.18 , 0, clause( 979, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y )
% 32.72/33.18 ) ] )
% 32.72/33.18 , 0, 6, substitution( 0, [ :=( X, w ), :=( Y, X )] ), substitution( 1, [
% 32.72/33.18 :=( X, X ), :=( Y, X )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 eqswap(
% 32.72/33.18 clause( 988, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 32.72/33.18 )
% 32.72/33.18 , clause( 982, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 32.72/33.18 ] )
% 32.72/33.18 , 0, substitution( 0, [ :=( X, X )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 subsumption(
% 32.72/33.18 clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ] )
% 32.72/33.18 , clause( 988, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) )
% 32.72/33.18 ] )
% 32.72/33.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 eqswap(
% 32.72/33.18 clause( 989, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 32.72/33.18 ), Z ) ) ] )
% 32.72/33.18 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 32.72/33.18 , Z ) ) ) ] )
% 32.72/33.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 eqswap(
% 32.72/33.18 clause( 990, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 32.72/33.18 )
% 32.72/33.18 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 32.72/33.18 )
% 32.72/33.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 paramod(
% 32.72/33.18 clause( 993, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X )
% 32.72/33.18 ), Y ) ) ] )
% 32.72/33.18 , clause( 990, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 32.72/33.18 ] )
% 32.72/33.18 , 0, clause( 989, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 32.72/33.18 ), Y ), Z ) ) ] )
% 32.72/33.18 , 0, 6, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 32.72/33.18 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 eqswap(
% 32.72/33.18 clause( 997, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 32.72/33.18 , Y ) ) ) ] )
% 32.72/33.18 , clause( 993, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X
% 32.72/33.18 ) ), Y ) ) ] )
% 32.72/33.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 subsumption(
% 32.72/33.18 clause( 18, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 32.72/33.18 , Y ) ) ) ] )
% 32.72/33.18 , clause( 997, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply(
% 32.72/33.18 Y, Y ) ) ) ] )
% 32.72/33.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 32.72/33.18 )] ) ).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 eqswap(
% 32.72/33.18 clause( 999, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X )
% 32.72/33.18 ), Y ) ) ] )
% 32.72/33.18 , clause( 18, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply(
% 32.72/33.18 Y, Y ) ) ) ] )
% 32.72/33.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 eqswap(
% 32.72/33.18 clause( 1000, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ),
% 32.72/33.18 Y ), Z ) ) ] )
% 32.72/33.18 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 32.72/33.18 , Z ) ) ) ] )
% 32.72/33.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 paramod(
% 32.72/33.18 clause( 1004, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 32.72/33.18 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 32.72/33.18 , clause( 999, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X
% 32.72/33.18 ) ), Y ) ) ] )
% 32.72/33.18 , 0, clause( 1000, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b,
% 32.72/33.18 X ), Y ), Z ) ) ] )
% 32.72/33.18 , 0, 9, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 32.72/33.18 substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Y ) ), :=( Z, Z )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 eqswap(
% 32.72/33.18 clause( 1012, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 32.72/33.18 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 32.72/33.18 , clause( 1004, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 32.72/33.18 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 32.72/33.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 subsumption(
% 32.72/33.18 clause( 26, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y ),
% 32.72/33.18 Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 32.72/33.18 , clause( 1012, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y
% 32.72/33.18 ), Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 32.72/33.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 32.72/33.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 eqswap(
% 32.72/33.18 clause( 1015, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X,
% 32.72/33.18 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 32.72/33.18 , clause( 2, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X
% 32.72/33.18 , 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 32.72/33.18 , 0, substitution( 0, [ :=( X, X )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 resolution(
% 32.72/33.18 clause( 1019, [ ~( =( apply( apply( apply( b, apply( apply( b, apply( w, w
% 32.72/33.18 ) ), w ) ), apply( apply( b, b ), b ) ), 'fixed_pt' ), apply( 'fixed_pt'
% 32.72/33.18 , apply( apply( apply( b, apply( apply( b, apply( w, w ) ), w ) ), apply(
% 32.72/33.18 apply( b, b ), b ) ), 'fixed_pt' ) ) ) ) ] )
% 32.72/33.18 , clause( 3, [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply( w
% 32.72/33.18 , w ) ), w ) ), apply( apply( b, b ), b ) ) ) ) ] )
% 32.72/33.18 , 0, clause( 1015, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply(
% 32.72/33.18 X, 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 32.72/33.18 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, apply( apply( b,
% 32.72/33.18 apply( apply( b, apply( w, w ) ), w ) ), apply( apply( b, b ), b ) ) )] )
% 32.72/33.18 ).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 paramod(
% 32.72/33.18 clause( 1021, [ ~( =( apply( apply( apply( b, apply( apply( b, apply( w, w
% 32.72/33.18 ) ), w ) ), apply( apply( b, b ), b ) ), 'fixed_pt' ), apply( 'fixed_pt'
% 32.72/33.18 , apply( apply( apply( b, apply( w, w ) ), w ), apply( apply( apply( b, b
% 32.72/33.18 ), b ), 'fixed_pt' ) ) ) ) ) ] )
% 32.72/33.18 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 32.72/33.18 , Z ) ) ) ] )
% 32.72/33.18 , 0, clause( 1019, [ ~( =( apply( apply( apply( b, apply( apply( b, apply(
% 32.72/33.18 w, w ) ), w ) ), apply( apply( b, b ), b ) ), 'fixed_pt' ), apply(
% 32.72/33.18 'fixed_pt', apply( apply( apply( b, apply( apply( b, apply( w, w ) ), w )
% 32.72/33.18 ), apply( apply( b, b ), b ) ), 'fixed_pt' ) ) ) ) ] )
% 32.72/33.18 , 0, 21, substitution( 0, [ :=( X, apply( apply( b, apply( w, w ) ), w ) )
% 32.72/33.18 , :=( Y, apply( apply( b, b ), b ) ), :=( Z, 'fixed_pt' )] ),
% 32.72/33.18 substitution( 1, [] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 paramod(
% 32.72/33.18 clause( 1036, [ ~( =( apply( apply( apply( b, apply( apply( b, apply( w, w
% 32.72/33.18 ) ), w ) ), apply( apply( b, b ), b ) ), 'fixed_pt' ), apply( 'fixed_pt'
% 32.72/33.18 , apply( apply( apply( b, apply( w, w ) ), w ), apply( b, apply( b,
% 32.72/33.18 'fixed_pt' ) ) ) ) ) ) ] )
% 32.72/33.18 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 32.72/33.18 , Z ) ) ) ] )
% 32.72/33.18 , 0, clause( 1021, [ ~( =( apply( apply( apply( b, apply( apply( b, apply(
% 32.72/33.18 w, w ) ), w ) ), apply( apply( b, b ), b ) ), 'fixed_pt' ), apply(
% 32.72/33.18 'fixed_pt', apply( apply( apply( b, apply( w, w ) ), w ), apply( apply(
% 32.72/33.18 apply( b, b ), b ), 'fixed_pt' ) ) ) ) ) ] )
% 32.72/33.18 , 0, 29, substitution( 0, [ :=( X, b ), :=( Y, b ), :=( Z, 'fixed_pt' )] )
% 32.72/33.18 , substitution( 1, [] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 paramod(
% 32.72/33.18 clause( 1047, [ ~( =( apply( apply( apply( b, apply( apply( b, apply( w, w
% 32.72/33.18 ) ), w ) ), apply( apply( b, b ), b ) ), 'fixed_pt' ), apply( 'fixed_pt'
% 32.72/33.18 , apply( apply( w, w ), apply( w, apply( b, apply( b, 'fixed_pt' ) ) ) )
% 32.72/33.18 ) ) ) ] )
% 32.72/33.18 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 32.72/33.18 , Z ) ) ) ] )
% 32.72/33.18 , 0, clause( 1036, [ ~( =( apply( apply( apply( b, apply( apply( b, apply(
% 32.72/33.18 w, w ) ), w ) ), apply( apply( b, b ), b ) ), 'fixed_pt' ), apply(
% 32.72/33.18 'fixed_pt', apply( apply( apply( b, apply( w, w ) ), w ), apply( b, apply(
% 32.72/33.18 b, 'fixed_pt' ) ) ) ) ) ) ] )
% 32.72/33.18 , 0, 21, substitution( 0, [ :=( X, apply( w, w ) ), :=( Y, w ), :=( Z,
% 32.72/33.18 apply( b, apply( b, 'fixed_pt' ) ) )] ), substitution( 1, [] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 paramod(
% 32.72/33.18 clause( 1048, [ ~( =( apply( apply( apply( b, apply( w, w ) ), w ), apply(
% 32.72/33.18 apply( apply( b, b ), b ), 'fixed_pt' ) ), apply( 'fixed_pt', apply(
% 32.72/33.18 apply( w, w ), apply( w, apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ]
% 32.72/33.18 )
% 32.72/33.18 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 32.72/33.18 , Z ) ) ) ] )
% 32.72/33.18 , 0, clause( 1047, [ ~( =( apply( apply( apply( b, apply( apply( b, apply(
% 32.72/33.18 w, w ) ), w ) ), apply( apply( b, b ), b ) ), 'fixed_pt' ), apply(
% 32.72/33.18 'fixed_pt', apply( apply( w, w ), apply( w, apply( b, apply( b,
% 32.72/33.18 'fixed_pt' ) ) ) ) ) ) ) ] )
% 32.72/33.18 , 0, 2, substitution( 0, [ :=( X, apply( apply( b, apply( w, w ) ), w ) ),
% 32.72/33.18 :=( Y, apply( apply( b, b ), b ) ), :=( Z, 'fixed_pt' )] ),
% 32.72/33.18 substitution( 1, [] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 paramod(
% 32.72/33.18 clause( 1050, [ ~( =( apply( apply( apply( b, apply( w, w ) ), w ), apply(
% 32.72/33.18 b, apply( b, 'fixed_pt' ) ) ), apply( 'fixed_pt', apply( apply( w, w ),
% 32.72/33.18 apply( w, apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ] )
% 32.72/33.18 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 32.72/33.18 , Z ) ) ) ] )
% 32.72/33.18 , 0, clause( 1048, [ ~( =( apply( apply( apply( b, apply( w, w ) ), w ),
% 32.72/33.18 apply( apply( apply( b, b ), b ), 'fixed_pt' ) ), apply( 'fixed_pt',
% 32.72/33.18 apply( apply( w, w ), apply( w, apply( b, apply( b, 'fixed_pt' ) ) ) ) )
% 32.72/33.18 ) ) ] )
% 32.72/33.18 , 0, 10, substitution( 0, [ :=( X, b ), :=( Y, b ), :=( Z, 'fixed_pt' )] )
% 32.72/33.18 , substitution( 1, [] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 paramod(
% 32.72/33.18 clause( 1051, [ ~( =( apply( apply( w, w ), apply( w, apply( b, apply( b,
% 32.72/33.18 'fixed_pt' ) ) ) ), apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 32.72/33.18 apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ] )
% 32.72/33.18 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 32.72/33.18 , Z ) ) ) ] )
% 32.72/33.18 , 0, clause( 1050, [ ~( =( apply( apply( apply( b, apply( w, w ) ), w ),
% 32.72/33.18 apply( b, apply( b, 'fixed_pt' ) ) ), apply( 'fixed_pt', apply( apply( w
% 32.72/33.18 , w ), apply( w, apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ] )
% 32.72/33.18 , 0, 2, substitution( 0, [ :=( X, apply( w, w ) ), :=( Y, w ), :=( Z, apply(
% 32.72/33.18 b, apply( b, 'fixed_pt' ) ) )] ), substitution( 1, [] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 eqswap(
% 32.72/33.18 clause( 1060, [ ~( =( apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 32.72/33.18 apply( b, apply( b, 'fixed_pt' ) ) ) ) ), apply( apply( w, w ), apply( w
% 32.72/33.18 , apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ] )
% 32.72/33.18 , clause( 1051, [ ~( =( apply( apply( w, w ), apply( w, apply( b, apply( b
% 32.72/33.18 , 'fixed_pt' ) ) ) ), apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 32.72/33.18 apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ] )
% 32.72/33.18 , 0, substitution( 0, [] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 subsumption(
% 32.72/33.18 clause( 40, [ ~( =( apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 32.72/33.18 apply( b, apply( b, 'fixed_pt' ) ) ) ) ), apply( apply( w, w ), apply( w
% 32.72/33.18 , apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ] )
% 32.72/33.18 , clause( 1060, [ ~( =( apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 32.72/33.18 apply( b, apply( b, 'fixed_pt' ) ) ) ) ), apply( apply( w, w ), apply( w
% 32.72/33.18 , apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ] )
% 32.72/33.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 eqswap(
% 32.72/33.18 clause( 1064, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) ) ]
% 32.72/33.18 )
% 32.72/33.18 , clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 32.72/33.18 )
% 32.72/33.18 , 0, substitution( 0, [ :=( X, X )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 eqswap(
% 32.72/33.18 clause( 1065, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 32.72/33.18 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 32.72/33.18 , clause( 26, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 32.72/33.18 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 32.72/33.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 paramod(
% 32.72/33.18 clause( 1068, [ =( apply( X, apply( apply( apply( w, apply( b, apply( b, X
% 32.72/33.18 ) ) ), apply( w, apply( b, apply( b, X ) ) ) ), apply( w, apply( b,
% 32.72/33.18 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 32.72/33.18 , X ) ) ) ) ) ] )
% 32.72/33.18 , clause( 1064, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 32.72/33.18 ] )
% 32.72/33.18 , 0, clause( 1065, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 32.72/33.18 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 32.72/33.18 , 0, 26, substitution( 0, [ :=( X, apply( w, apply( b, apply( b, X ) ) ) )] )
% 32.72/33.18 , substitution( 1, [ :=( X, X ), :=( Y, apply( w, apply( b, apply( b, X )
% 32.72/33.18 ) ) ), :=( Z, apply( w, apply( b, apply( b, X ) ) ) )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 paramod(
% 32.72/33.18 clause( 1069, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b,
% 32.72/33.18 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 32.72/33.18 , X ) ) ) ) ) ] )
% 32.72/33.18 , clause( 1064, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 32.72/33.18 ] )
% 32.72/33.18 , 0, clause( 1068, [ =( apply( X, apply( apply( apply( w, apply( b, apply(
% 32.72/33.18 b, X ) ) ), apply( w, apply( b, apply( b, X ) ) ) ), apply( w, apply( b,
% 32.72/33.18 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 32.72/33.18 , X ) ) ) ) ) ] )
% 32.72/33.18 , 0, 3, substitution( 0, [ :=( X, apply( w, apply( b, apply( b, X ) ) ) )] )
% 32.72/33.18 , substitution( 1, [ :=( X, X )] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 subsumption(
% 32.72/33.18 clause( 677, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b, apply(
% 32.72/33.18 b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 32.72/33.18 ) ) ) ] )
% 32.72/33.18 , clause( 1069, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b,
% 32.72/33.18 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 32.72/33.18 , X ) ) ) ) ) ] )
% 32.72/33.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 paramod(
% 32.72/33.18 clause( 1076, [ ~( =( apply( apply( w, w ), apply( w, apply( b, apply( b,
% 32.72/33.18 'fixed_pt' ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b,
% 32.72/33.18 'fixed_pt' ) ) ) ) ) ) ] )
% 32.72/33.18 , clause( 677, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b,
% 32.72/33.18 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 32.72/33.18 , X ) ) ) ) ) ] )
% 32.72/33.18 , 0, clause( 40, [ ~( =( apply( 'fixed_pt', apply( apply( w, w ), apply( w
% 32.72/33.18 , apply( b, apply( b, 'fixed_pt' ) ) ) ) ), apply( apply( w, w ), apply(
% 32.72/33.18 w, apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ] )
% 32.72/33.18 , 0, 2, substitution( 0, [ :=( X, 'fixed_pt' )] ), substitution( 1, [] )
% 32.72/33.18 ).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 eqrefl(
% 32.72/33.18 clause( 1077, [] )
% 32.72/33.18 , clause( 1076, [ ~( =( apply( apply( w, w ), apply( w, apply( b, apply( b
% 32.72/33.18 , 'fixed_pt' ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 32.72/33.18 , 'fixed_pt' ) ) ) ) ) ) ] )
% 32.72/33.18 , 0, substitution( 0, [] )).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 subsumption(
% 32.72/33.18 clause( 963, [] )
% 32.72/33.18 , clause( 1077, [] )
% 32.72/33.18 , substitution( 0, [] ), permutation( 0, [] ) ).
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 end.
% 32.72/33.18
% 32.72/33.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 32.72/33.18
% 32.72/33.18 Memory use:
% 32.72/33.18
% 32.72/33.18 space for terms: 21695
% 32.72/33.18 space for clauses: 134911
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 clauses generated: 10483
% 32.72/33.18 clauses kept: 964
% 32.72/33.18 clauses selected: 95
% 32.72/33.18 clauses deleted: 26
% 32.72/33.18 clauses inuse deleted: 0
% 32.72/33.18
% 32.72/33.18 subsentry: 3009
% 32.72/33.18 literals s-matched: 2250
% 32.72/33.18 literals matched: 2242
% 32.72/33.18 full subsumption: 0
% 32.72/33.18
% 32.72/33.18 checksum: -957737857
% 32.72/33.18
% 32.72/33.18
% 32.72/33.18 Bliksem ended
%------------------------------------------------------------------------------