TSTP Solution File: COL003-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL003-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 34.04s 34.45s
% Output : Refutation 34.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COL003-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.11 % Command : bliksem %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % DateTime : Tue May 31 10:30:43 EDT 2022
% 0.11/0.30 % CPUTime :
% 34.04/34.45 *** allocated 10000 integers for termspace/termends
% 34.04/34.45 *** allocated 10000 integers for clauses
% 34.04/34.45 *** allocated 10000 integers for justifications
% 34.04/34.45 Bliksem 1.12
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 Automatic Strategy Selection
% 34.04/34.45
% 34.04/34.45 Clauses:
% 34.04/34.45 [
% 34.04/34.45 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 34.04/34.45 ],
% 34.04/34.45 [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ],
% 34.04/34.45 [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X, 'fixed_pt'
% 34.04/34.45 ) ) ) ), 'fixed_point'( X ) ],
% 34.04/34.45 [ ~( 'fixed_point'( apply( apply( b, apply( w, w ) ), apply( apply( b,
% 34.04/34.45 apply( apply( b, w ), b ) ), b ) ) ) ) ]
% 34.04/34.45 ] .
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 percentage equality = 0.600000, percentage horn = 1.000000
% 34.04/34.45 This is a problem with some equality
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 Options Used:
% 34.04/34.45
% 34.04/34.45 useres = 1
% 34.04/34.45 useparamod = 1
% 34.04/34.45 useeqrefl = 1
% 34.04/34.45 useeqfact = 1
% 34.04/34.45 usefactor = 1
% 34.04/34.45 usesimpsplitting = 0
% 34.04/34.45 usesimpdemod = 5
% 34.04/34.45 usesimpres = 3
% 34.04/34.45
% 34.04/34.45 resimpinuse = 1000
% 34.04/34.45 resimpclauses = 20000
% 34.04/34.45 substype = eqrewr
% 34.04/34.45 backwardsubs = 1
% 34.04/34.45 selectoldest = 5
% 34.04/34.45
% 34.04/34.45 litorderings [0] = split
% 34.04/34.45 litorderings [1] = extend the termordering, first sorting on arguments
% 34.04/34.45
% 34.04/34.45 termordering = kbo
% 34.04/34.45
% 34.04/34.45 litapriori = 0
% 34.04/34.45 termapriori = 1
% 34.04/34.45 litaposteriori = 0
% 34.04/34.45 termaposteriori = 0
% 34.04/34.45 demodaposteriori = 0
% 34.04/34.45 ordereqreflfact = 0
% 34.04/34.45
% 34.04/34.45 litselect = negord
% 34.04/34.45
% 34.04/34.45 maxweight = 15
% 34.04/34.45 maxdepth = 30000
% 34.04/34.45 maxlength = 115
% 34.04/34.45 maxnrvars = 195
% 34.04/34.45 excuselevel = 1
% 34.04/34.45 increasemaxweight = 1
% 34.04/34.45
% 34.04/34.45 maxselected = 10000000
% 34.04/34.45 maxnrclauses = 10000000
% 34.04/34.45
% 34.04/34.45 showgenerated = 0
% 34.04/34.45 showkept = 0
% 34.04/34.45 showselected = 0
% 34.04/34.45 showdeleted = 0
% 34.04/34.45 showresimp = 1
% 34.04/34.45 showstatus = 2000
% 34.04/34.45
% 34.04/34.45 prologoutput = 1
% 34.04/34.45 nrgoals = 5000000
% 34.04/34.45 totalproof = 1
% 34.04/34.45
% 34.04/34.45 Symbols occurring in the translation:
% 34.04/34.45
% 34.04/34.45 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 34.04/34.45 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 34.04/34.45 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 34.04/34.45 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 34.04/34.45 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 34.04/34.45 b [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 34.04/34.45 apply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 34.04/34.45 w [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 34.04/34.45 'fixed_pt' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 34.04/34.45 'fixed_point' [47, 1] (w:1, o:21, a:1, s:1, b:0).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 Starting Search:
% 34.04/34.45
% 34.04/34.45 Resimplifying inuse:
% 34.04/34.45 Done
% 34.04/34.45
% 34.04/34.45 Failed to find proof!
% 34.04/34.45 maxweight = 15
% 34.04/34.45 maxnrclauses = 10000000
% 34.04/34.45 Generated: 1211
% 34.04/34.45 Kept: 33
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 The strategy used was not complete!
% 34.04/34.45
% 34.04/34.45 Increased maxweight to 16
% 34.04/34.45
% 34.04/34.45 Starting Search:
% 34.04/34.45
% 34.04/34.45 Resimplifying inuse:
% 34.04/34.45 Done
% 34.04/34.45
% 34.04/34.45 Failed to find proof!
% 34.04/34.45 maxweight = 16
% 34.04/34.45 maxnrclauses = 10000000
% 34.04/34.45 Generated: 1211
% 34.04/34.45 Kept: 33
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 The strategy used was not complete!
% 34.04/34.45
% 34.04/34.45 Increased maxweight to 17
% 34.04/34.45
% 34.04/34.45 Starting Search:
% 34.04/34.45
% 34.04/34.45 Resimplifying inuse:
% 34.04/34.45 Done
% 34.04/34.45
% 34.04/34.45 Failed to find proof!
% 34.04/34.45 maxweight = 17
% 34.04/34.45 maxnrclauses = 10000000
% 34.04/34.45 Generated: 3934
% 34.04/34.45 Kept: 78
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 The strategy used was not complete!
% 34.04/34.45
% 34.04/34.45 Increased maxweight to 18
% 34.04/34.45
% 34.04/34.45 Starting Search:
% 34.04/34.45
% 34.04/34.45 Resimplifying inuse:
% 34.04/34.45 Done
% 34.04/34.45
% 34.04/34.45 Failed to find proof!
% 34.04/34.45 maxweight = 18
% 34.04/34.45 maxnrclauses = 10000000
% 34.04/34.45 Generated: 3946
% 34.04/34.45 Kept: 80
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 The strategy used was not complete!
% 34.04/34.45
% 34.04/34.45 Increased maxweight to 19
% 34.04/34.45
% 34.04/34.45 Starting Search:
% 34.04/34.45
% 34.04/34.45 Resimplifying inuse:
% 34.04/34.45 Done
% 34.04/34.45
% 34.04/34.45 Failed to find proof!
% 34.04/34.45 maxweight = 19
% 34.04/34.45 maxnrclauses = 10000000
% 34.04/34.45 Generated: 103462
% 34.04/34.45 Kept: 253
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 The strategy used was not complete!
% 34.04/34.45
% 34.04/34.45 Increased maxweight to 20
% 34.04/34.45
% 34.04/34.45 Starting Search:
% 34.04/34.45
% 34.04/34.45 Resimplifying inuse:
% 34.04/34.45 Done
% 34.04/34.45
% 34.04/34.45 Failed to find proof!
% 34.04/34.45 maxweight = 20
% 34.04/34.45 maxnrclauses = 10000000
% 34.04/34.45 Generated: 103484
% 34.04/34.45 Kept: 255
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 The strategy used was not complete!
% 34.04/34.45
% 34.04/34.45 Increased maxweight to 21
% 34.04/34.45
% 34.04/34.45 Starting Search:
% 34.04/34.45
% 34.04/34.45 Resimplifying inuse:
% 34.04/34.45 Done
% 34.04/34.45
% 34.04/34.45 Failed to find proof!
% 34.04/34.45 maxweight = 21
% 34.04/34.45 maxnrclauses = 10000000
% 34.04/34.45 Generated: 482654
% 34.04/34.45 Kept: 687
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 The strategy used was not complete!
% 34.04/34.45
% 34.04/34.45 Increased maxweight to 22
% 34.04/34.45
% 34.04/34.45 Starting Search:
% 34.04/34.45
% 34.04/34.45 Resimplifying inuse:
% 34.04/34.45 Done
% 34.04/34.45
% 34.04/34.45 Failed to find proof!
% 34.04/34.45 maxweight = 22
% 34.04/34.45 maxnrclauses = 10000000
% 34.04/34.45 Generated: 482690
% 34.04/34.45 Kept: 689
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 The strategy used was not complete!
% 34.04/34.45
% 34.04/34.45 Increased maxweight to 23
% 34.04/34.45
% 34.04/34.45 Starting Search:
% 34.04/34.45
% 34.04/34.45 Resimplifying inuse:
% 34.04/34.45 Done
% 34.04/34.45
% 34.04/34.45 Resimplifying inuse:
% 34.04/34.45 Done
% 34.04/34.45
% 34.04/34.45 Failed to find proof!
% 34.04/34.45 maxweight = 23
% 34.04/34.45 maxnrclauses = 10000000
% 34.04/34.45 Generated: 2237410
% 34.04/34.45 Kept: 1759
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 The strategy used was not complete!
% 34.04/34.45
% 34.04/34.45 Increased maxweight to 24
% 34.04/34.45
% 34.04/34.45 Starting Search:
% 34.04/34.45
% 34.04/34.45 Resimplifying inuse:
% 34.04/34.45 Done
% 34.04/34.45
% 34.04/34.45 Resimplifying inuse:
% 34.04/34.45 Done
% 34.04/34.45
% 34.04/34.45 Failed to find proof!
% 34.04/34.45 maxweight = 24
% 34.04/34.45 maxnrclauses = 10000000
% 34.04/34.45 Generated: 2237558
% 34.04/34.45 Kept: 1765
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 The strategy used was not complete!
% 34.04/34.45
% 34.04/34.45 Increased maxweight to 25
% 34.04/34.45
% 34.04/34.45 Starting Search:
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 Bliksems!, er is een bewijs:
% 34.04/34.45 % SZS status Unsatisfiable
% 34.04/34.45 % SZS output start Refutation
% 34.04/34.45
% 34.04/34.45 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 34.04/34.45 Z ) ) ) ] )
% 34.04/34.45 .
% 34.04/34.45 clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 34.04/34.45 .
% 34.04/34.45 clause( 2, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X,
% 34.04/34.45 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 34.04/34.45 .
% 34.04/34.45 clause( 3, [ ~( 'fixed_point'( apply( apply( b, apply( w, w ) ), apply(
% 34.04/34.45 apply( b, apply( apply( b, w ), b ) ), b ) ) ) ) ] )
% 34.04/34.45 .
% 34.04/34.45 clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ] )
% 34.04/34.45 .
% 34.04/34.45 clause( 18, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 34.04/34.45 , Y ) ) ) ] )
% 34.04/34.45 .
% 34.04/34.45 clause( 26, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y ),
% 34.04/34.45 Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 34.04/34.45 .
% 34.04/34.45 clause( 40, [ ~( =( apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 34.04/34.45 apply( b, apply( b, 'fixed_pt' ) ) ) ) ), apply( apply( w, w ), apply( w
% 34.04/34.45 , apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ] )
% 34.04/34.45 .
% 34.04/34.45 clause( 669, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b, apply(
% 34.04/34.45 b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 34.04/34.45 ) ) ) ] )
% 34.04/34.45 .
% 34.04/34.45 clause( 971, [] )
% 34.04/34.45 .
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 % SZS output end Refutation
% 34.04/34.45 found a proof!
% 34.04/34.45
% 34.04/34.45 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 34.04/34.45
% 34.04/34.45 initialclauses(
% 34.04/34.45 [ clause( 973, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 34.04/34.45 Y, Z ) ) ) ] )
% 34.04/34.45 , clause( 974, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 34.04/34.45 ] )
% 34.04/34.45 , clause( 975, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X
% 34.04/34.45 , 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 34.04/34.45 , clause( 976, [ ~( 'fixed_point'( apply( apply( b, apply( w, w ) ), apply(
% 34.04/34.45 apply( b, apply( apply( b, w ), b ) ), b ) ) ) ) ] )
% 34.04/34.45 ] ).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 subsumption(
% 34.04/34.45 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 34.04/34.45 Z ) ) ) ] )
% 34.04/34.45 , clause( 973, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 34.04/34.45 Y, Z ) ) ) ] )
% 34.04/34.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.04/34.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 subsumption(
% 34.04/34.45 clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 34.04/34.45 , clause( 974, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 34.04/34.45 ] )
% 34.04/34.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.04/34.45 )] ) ).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 eqswap(
% 34.04/34.45 clause( 982, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X
% 34.04/34.45 , 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 34.04/34.45 , clause( 975, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X
% 34.04/34.45 , 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 34.04/34.45 , 0, substitution( 0, [ :=( X, X )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 subsumption(
% 34.04/34.45 clause( 2, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X,
% 34.04/34.45 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 34.04/34.45 , clause( 982, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply(
% 34.04/34.45 X, 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 34.04/34.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 34.04/34.45 1 )] ) ).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 subsumption(
% 34.04/34.45 clause( 3, [ ~( 'fixed_point'( apply( apply( b, apply( w, w ) ), apply(
% 34.04/34.45 apply( b, apply( apply( b, w ), b ) ), b ) ) ) ) ] )
% 34.04/34.45 , clause( 976, [ ~( 'fixed_point'( apply( apply( b, apply( w, w ) ), apply(
% 34.04/34.45 apply( b, apply( apply( b, w ), b ) ), b ) ) ) ) ] )
% 34.04/34.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 eqswap(
% 34.04/34.45 clause( 986, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 34.04/34.45 )
% 34.04/34.45 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 34.04/34.45 )
% 34.04/34.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 eqswap(
% 34.04/34.45 clause( 987, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 34.04/34.45 )
% 34.04/34.45 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 34.04/34.45 )
% 34.04/34.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 paramod(
% 34.04/34.45 clause( 990, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) ) ]
% 34.04/34.45 )
% 34.04/34.45 , clause( 986, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 34.04/34.45 ] )
% 34.04/34.45 , 0, clause( 987, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y )
% 34.04/34.45 ) ] )
% 34.04/34.45 , 0, 6, substitution( 0, [ :=( X, w ), :=( Y, X )] ), substitution( 1, [
% 34.04/34.45 :=( X, X ), :=( Y, X )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 eqswap(
% 34.04/34.45 clause( 996, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 34.04/34.45 )
% 34.04/34.45 , clause( 990, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 34.04/34.45 ] )
% 34.04/34.45 , 0, substitution( 0, [ :=( X, X )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 subsumption(
% 34.04/34.45 clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ] )
% 34.04/34.45 , clause( 996, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) )
% 34.04/34.45 ] )
% 34.04/34.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 eqswap(
% 34.04/34.45 clause( 997, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 34.04/34.45 ), Z ) ) ] )
% 34.04/34.45 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 34.04/34.45 , Z ) ) ) ] )
% 34.04/34.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 eqswap(
% 34.04/34.45 clause( 998, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 34.04/34.45 )
% 34.04/34.45 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 34.04/34.45 )
% 34.04/34.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 paramod(
% 34.04/34.45 clause( 1001, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X
% 34.04/34.45 ) ), Y ) ) ] )
% 34.04/34.45 , clause( 998, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 34.04/34.45 ] )
% 34.04/34.45 , 0, clause( 997, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 34.04/34.45 ), Y ), Z ) ) ] )
% 34.04/34.45 , 0, 6, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 34.04/34.45 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 eqswap(
% 34.04/34.45 clause( 1005, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply(
% 34.04/34.45 Y, Y ) ) ) ] )
% 34.04/34.45 , clause( 1001, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b,
% 34.04/34.45 X ) ), Y ) ) ] )
% 34.04/34.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 subsumption(
% 34.04/34.45 clause( 18, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 34.04/34.45 , Y ) ) ) ] )
% 34.04/34.45 , clause( 1005, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply(
% 34.04/34.45 Y, Y ) ) ) ] )
% 34.04/34.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 34.04/34.45 )] ) ).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 eqswap(
% 34.04/34.45 clause( 1007, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X
% 34.04/34.45 ) ), Y ) ) ] )
% 34.04/34.45 , clause( 18, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply(
% 34.04/34.45 Y, Y ) ) ) ] )
% 34.04/34.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 eqswap(
% 34.04/34.45 clause( 1008, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ),
% 34.04/34.45 Y ), Z ) ) ] )
% 34.04/34.45 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 34.04/34.45 , Z ) ) ) ] )
% 34.04/34.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 paramod(
% 34.04/34.45 clause( 1012, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 34.04/34.45 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 34.04/34.45 , clause( 1007, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b,
% 34.04/34.45 X ) ), Y ) ) ] )
% 34.04/34.45 , 0, clause( 1008, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b,
% 34.04/34.45 X ), Y ), Z ) ) ] )
% 34.04/34.45 , 0, 9, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 34.04/34.45 substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Y ) ), :=( Z, Z )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 eqswap(
% 34.04/34.45 clause( 1020, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 34.04/34.45 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 34.04/34.45 , clause( 1012, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 34.04/34.45 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 34.04/34.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 subsumption(
% 34.04/34.45 clause( 26, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y ),
% 34.04/34.45 Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 34.04/34.45 , clause( 1020, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y
% 34.04/34.45 ), Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 34.04/34.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 34.04/34.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 eqswap(
% 34.04/34.45 clause( 1023, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X,
% 34.04/34.45 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 34.04/34.45 , clause( 2, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X
% 34.04/34.45 , 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 34.04/34.45 , 0, substitution( 0, [ :=( X, X )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 resolution(
% 34.04/34.45 clause( 1027, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply( apply(
% 34.04/34.45 b, apply( apply( b, w ), b ) ), b ) ), 'fixed_pt' ), apply( 'fixed_pt',
% 34.04/34.45 apply( apply( apply( b, apply( w, w ) ), apply( apply( b, apply( apply( b
% 34.04/34.45 , w ), b ) ), b ) ), 'fixed_pt' ) ) ) ) ] )
% 34.04/34.45 , clause( 3, [ ~( 'fixed_point'( apply( apply( b, apply( w, w ) ), apply(
% 34.04/34.45 apply( b, apply( apply( b, w ), b ) ), b ) ) ) ) ] )
% 34.04/34.45 , 0, clause( 1023, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply(
% 34.04/34.45 X, 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 34.04/34.45 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, apply( apply( b,
% 34.04/34.45 apply( w, w ) ), apply( apply( b, apply( apply( b, w ), b ) ), b ) ) )] )
% 34.04/34.45 ).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 paramod(
% 34.04/34.45 clause( 1029, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply( apply(
% 34.04/34.45 b, apply( apply( b, w ), b ) ), b ) ), 'fixed_pt' ), apply( 'fixed_pt',
% 34.04/34.45 apply( apply( w, w ), apply( apply( apply( b, apply( apply( b, w ), b ) )
% 34.04/34.45 , b ), 'fixed_pt' ) ) ) ) ) ] )
% 34.04/34.45 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 34.04/34.45 , Z ) ) ) ] )
% 34.04/34.45 , 0, clause( 1027, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply(
% 34.04/34.45 apply( b, apply( apply( b, w ), b ) ), b ) ), 'fixed_pt' ), apply(
% 34.04/34.45 'fixed_pt', apply( apply( apply( b, apply( w, w ) ), apply( apply( b,
% 34.04/34.45 apply( apply( b, w ), b ) ), b ) ), 'fixed_pt' ) ) ) ) ] )
% 34.04/34.45 , 0, 21, substitution( 0, [ :=( X, apply( w, w ) ), :=( Y, apply( apply( b
% 34.04/34.45 , apply( apply( b, w ), b ) ), b ) ), :=( Z, 'fixed_pt' )] ),
% 34.04/34.45 substitution( 1, [] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 paramod(
% 34.04/34.45 clause( 1041, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply( apply(
% 34.04/34.45 b, apply( apply( b, w ), b ) ), b ) ), 'fixed_pt' ), apply( 'fixed_pt',
% 34.04/34.45 apply( apply( w, w ), apply( apply( apply( b, w ), b ), apply( b,
% 34.04/34.45 'fixed_pt' ) ) ) ) ) ) ] )
% 34.04/34.45 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 34.04/34.45 , Z ) ) ) ] )
% 34.04/34.45 , 0, clause( 1029, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply(
% 34.04/34.45 apply( b, apply( apply( b, w ), b ) ), b ) ), 'fixed_pt' ), apply(
% 34.04/34.45 'fixed_pt', apply( apply( w, w ), apply( apply( apply( b, apply( apply( b
% 34.04/34.45 , w ), b ) ), b ), 'fixed_pt' ) ) ) ) ) ] )
% 34.04/34.45 , 0, 25, substitution( 0, [ :=( X, apply( apply( b, w ), b ) ), :=( Y, b )
% 34.04/34.45 , :=( Z, 'fixed_pt' )] ), substitution( 1, [] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 paramod(
% 34.04/34.45 clause( 1052, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply( apply(
% 34.04/34.45 b, apply( apply( b, w ), b ) ), b ) ), 'fixed_pt' ), apply( 'fixed_pt',
% 34.04/34.45 apply( apply( w, w ), apply( w, apply( b, apply( b, 'fixed_pt' ) ) ) ) )
% 34.04/34.45 ) ) ] )
% 34.04/34.45 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 34.04/34.45 , Z ) ) ) ] )
% 34.04/34.45 , 0, clause( 1041, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply(
% 34.04/34.45 apply( b, apply( apply( b, w ), b ) ), b ) ), 'fixed_pt' ), apply(
% 34.04/34.45 'fixed_pt', apply( apply( w, w ), apply( apply( apply( b, w ), b ), apply(
% 34.04/34.45 b, 'fixed_pt' ) ) ) ) ) ) ] )
% 34.04/34.45 , 0, 25, substitution( 0, [ :=( X, w ), :=( Y, b ), :=( Z, apply( b,
% 34.04/34.45 'fixed_pt' ) )] ), substitution( 1, [] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 paramod(
% 34.04/34.45 clause( 1053, [ ~( =( apply( apply( w, w ), apply( apply( apply( b, apply(
% 34.04/34.45 apply( b, w ), b ) ), b ), 'fixed_pt' ) ), apply( 'fixed_pt', apply(
% 34.04/34.45 apply( w, w ), apply( w, apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ]
% 34.04/34.45 )
% 34.04/34.45 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 34.04/34.45 , Z ) ) ) ] )
% 34.04/34.45 , 0, clause( 1052, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply(
% 34.04/34.45 apply( b, apply( apply( b, w ), b ) ), b ) ), 'fixed_pt' ), apply(
% 34.04/34.45 'fixed_pt', apply( apply( w, w ), apply( w, apply( b, apply( b,
% 34.04/34.45 'fixed_pt' ) ) ) ) ) ) ) ] )
% 34.04/34.45 , 0, 2, substitution( 0, [ :=( X, apply( w, w ) ), :=( Y, apply( apply( b,
% 34.04/34.45 apply( apply( b, w ), b ) ), b ) ), :=( Z, 'fixed_pt' )] ),
% 34.04/34.45 substitution( 1, [] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 paramod(
% 34.04/34.45 clause( 1054, [ ~( =( apply( apply( w, w ), apply( apply( apply( b, w ), b
% 34.04/34.45 ), apply( b, 'fixed_pt' ) ) ), apply( 'fixed_pt', apply( apply( w, w ),
% 34.04/34.45 apply( w, apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ] )
% 34.04/34.45 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 34.04/34.45 , Z ) ) ) ] )
% 34.04/34.45 , 0, clause( 1053, [ ~( =( apply( apply( w, w ), apply( apply( apply( b,
% 34.04/34.45 apply( apply( b, w ), b ) ), b ), 'fixed_pt' ) ), apply( 'fixed_pt',
% 34.04/34.45 apply( apply( w, w ), apply( w, apply( b, apply( b, 'fixed_pt' ) ) ) ) )
% 34.04/34.45 ) ) ] )
% 34.04/34.45 , 0, 6, substitution( 0, [ :=( X, apply( apply( b, w ), b ) ), :=( Y, b ),
% 34.04/34.45 :=( Z, 'fixed_pt' )] ), substitution( 1, [] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 paramod(
% 34.04/34.45 clause( 1055, [ ~( =( apply( apply( w, w ), apply( w, apply( b, apply( b,
% 34.04/34.45 'fixed_pt' ) ) ) ), apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 34.04/34.45 apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ] )
% 34.04/34.45 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 34.04/34.45 , Z ) ) ) ] )
% 34.04/34.45 , 0, clause( 1054, [ ~( =( apply( apply( w, w ), apply( apply( apply( b, w
% 34.04/34.45 ), b ), apply( b, 'fixed_pt' ) ) ), apply( 'fixed_pt', apply( apply( w,
% 34.04/34.45 w ), apply( w, apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ] )
% 34.04/34.45 , 0, 6, substitution( 0, [ :=( X, w ), :=( Y, b ), :=( Z, apply( b,
% 34.04/34.45 'fixed_pt' ) )] ), substitution( 1, [] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 eqswap(
% 34.04/34.45 clause( 1061, [ ~( =( apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 34.04/34.45 apply( b, apply( b, 'fixed_pt' ) ) ) ) ), apply( apply( w, w ), apply( w
% 34.04/34.45 , apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ] )
% 34.04/34.45 , clause( 1055, [ ~( =( apply( apply( w, w ), apply( w, apply( b, apply( b
% 34.04/34.45 , 'fixed_pt' ) ) ) ), apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 34.04/34.45 apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ] )
% 34.04/34.45 , 0, substitution( 0, [] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 subsumption(
% 34.04/34.45 clause( 40, [ ~( =( apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 34.04/34.45 apply( b, apply( b, 'fixed_pt' ) ) ) ) ), apply( apply( w, w ), apply( w
% 34.04/34.45 , apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ] )
% 34.04/34.45 , clause( 1061, [ ~( =( apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 34.04/34.45 apply( b, apply( b, 'fixed_pt' ) ) ) ) ), apply( apply( w, w ), apply( w
% 34.04/34.45 , apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ] )
% 34.04/34.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 eqswap(
% 34.04/34.45 clause( 1065, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) ) ]
% 34.04/34.45 )
% 34.04/34.45 , clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 34.04/34.45 )
% 34.04/34.45 , 0, substitution( 0, [ :=( X, X )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 eqswap(
% 34.04/34.45 clause( 1066, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 34.04/34.45 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 34.04/34.45 , clause( 26, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 34.04/34.45 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 34.04/34.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 paramod(
% 34.04/34.45 clause( 1069, [ =( apply( X, apply( apply( apply( w, apply( b, apply( b, X
% 34.04/34.45 ) ) ), apply( w, apply( b, apply( b, X ) ) ) ), apply( w, apply( b,
% 34.04/34.45 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 34.04/34.45 , X ) ) ) ) ) ] )
% 34.04/34.45 , clause( 1065, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 34.04/34.45 ] )
% 34.04/34.45 , 0, clause( 1066, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 34.04/34.45 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 34.04/34.45 , 0, 26, substitution( 0, [ :=( X, apply( w, apply( b, apply( b, X ) ) ) )] )
% 34.04/34.45 , substitution( 1, [ :=( X, X ), :=( Y, apply( w, apply( b, apply( b, X )
% 34.04/34.45 ) ) ), :=( Z, apply( w, apply( b, apply( b, X ) ) ) )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 paramod(
% 34.04/34.45 clause( 1070, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b,
% 34.04/34.45 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 34.04/34.45 , X ) ) ) ) ) ] )
% 34.04/34.45 , clause( 1065, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 34.04/34.45 ] )
% 34.04/34.45 , 0, clause( 1069, [ =( apply( X, apply( apply( apply( w, apply( b, apply(
% 34.04/34.45 b, X ) ) ), apply( w, apply( b, apply( b, X ) ) ) ), apply( w, apply( b,
% 34.04/34.45 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 34.04/34.45 , X ) ) ) ) ) ] )
% 34.04/34.45 , 0, 3, substitution( 0, [ :=( X, apply( w, apply( b, apply( b, X ) ) ) )] )
% 34.04/34.45 , substitution( 1, [ :=( X, X )] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 subsumption(
% 34.04/34.45 clause( 669, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b, apply(
% 34.04/34.45 b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 34.04/34.45 ) ) ) ] )
% 34.04/34.45 , clause( 1070, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b,
% 34.04/34.45 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 34.04/34.45 , X ) ) ) ) ) ] )
% 34.04/34.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 paramod(
% 34.04/34.45 clause( 1077, [ ~( =( apply( apply( w, w ), apply( w, apply( b, apply( b,
% 34.04/34.45 'fixed_pt' ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b,
% 34.04/34.45 'fixed_pt' ) ) ) ) ) ) ] )
% 34.04/34.45 , clause( 669, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b,
% 34.04/34.45 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 34.04/34.45 , X ) ) ) ) ) ] )
% 34.04/34.45 , 0, clause( 40, [ ~( =( apply( 'fixed_pt', apply( apply( w, w ), apply( w
% 34.04/34.45 , apply( b, apply( b, 'fixed_pt' ) ) ) ) ), apply( apply( w, w ), apply(
% 34.04/34.45 w, apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ] )
% 34.04/34.45 , 0, 2, substitution( 0, [ :=( X, 'fixed_pt' )] ), substitution( 1, [] )
% 34.04/34.45 ).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 eqrefl(
% 34.04/34.45 clause( 1078, [] )
% 34.04/34.45 , clause( 1077, [ ~( =( apply( apply( w, w ), apply( w, apply( b, apply( b
% 34.04/34.45 , 'fixed_pt' ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 34.04/34.45 , 'fixed_pt' ) ) ) ) ) ) ] )
% 34.04/34.45 , 0, substitution( 0, [] )).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 subsumption(
% 34.04/34.45 clause( 971, [] )
% 34.04/34.45 , clause( 1078, [] )
% 34.04/34.45 , substitution( 0, [] ), permutation( 0, [] ) ).
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 end.
% 34.04/34.45
% 34.04/34.45 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 34.04/34.45
% 34.04/34.45 Memory use:
% 34.04/34.45
% 34.04/34.45 space for terms: 21921
% 34.04/34.45 space for clauses: 136393
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 clauses generated: 11690
% 34.04/34.45 clauses kept: 972
% 34.04/34.45 clauses selected: 95
% 34.04/34.45 clauses deleted: 26
% 34.04/34.45 clauses inuse deleted: 0
% 34.04/34.45
% 34.04/34.45 subsentry: 3130
% 34.04/34.45 literals s-matched: 2480
% 34.04/34.45 literals matched: 2472
% 34.04/34.45 full subsumption: 0
% 34.04/34.45
% 34.04/34.45 checksum: -766402480
% 34.04/34.45
% 34.04/34.45
% 34.04/34.45 Bliksem ended
%------------------------------------------------------------------------------