TSTP Solution File: COL044-6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL044-6 : TPTP v8.1.0. Released v2.1.0.
% 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 00:12:28 EDT 2022
% Result : Unsatisfiable 282.00s 282.40s
% Output : Refutation 282.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : COL044-6 : TPTP v8.1.0. Released v2.1.0.
% 0.00/0.10 % Command : bliksem %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % DateTime : Tue May 31 10:34:58 EDT 2022
% 0.10/0.29 % CPUTime :
% 282.00/282.40 *** allocated 10000 integers for termspace/termends
% 282.00/282.40 *** allocated 10000 integers for clauses
% 282.00/282.40 *** allocated 10000 integers for justifications
% 282.00/282.40 Bliksem 1.12
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 Automatic Strategy Selection
% 282.00/282.40
% 282.00/282.40 Clauses:
% 282.00/282.40 [
% 282.00/282.40 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 282.00/282.40 ],
% 282.00/282.40 [ =( apply( apply( apply( n, X ), Y ), Z ), apply( apply( apply( X, Z )
% 282.00/282.40 , Y ), Z ) ) ],
% 282.00/282.40 [ =( 'strong_fixed_point', apply( apply( b, apply( apply( b, apply(
% 282.00/282.40 apply( n, apply( apply( b, b ), apply( apply( n, apply( apply( b, b ), n
% 282.00/282.40 ) ), n ) ) ), n ) ), b ) ), b ) ) ],
% 282.00/282.40 [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply( 'fixed_pt',
% 282.00/282.40 apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ]
% 282.00/282.40 ] .
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 percentage equality = 1.000000, percentage horn = 1.000000
% 282.00/282.40 This is a pure equality problem
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 Options Used:
% 282.00/282.40
% 282.00/282.40 useres = 1
% 282.00/282.40 useparamod = 1
% 282.00/282.40 useeqrefl = 1
% 282.00/282.40 useeqfact = 1
% 282.00/282.40 usefactor = 1
% 282.00/282.40 usesimpsplitting = 0
% 282.00/282.40 usesimpdemod = 5
% 282.00/282.40 usesimpres = 3
% 282.00/282.40
% 282.00/282.40 resimpinuse = 1000
% 282.00/282.40 resimpclauses = 20000
% 282.00/282.40 substype = eqrewr
% 282.00/282.40 backwardsubs = 1
% 282.00/282.40 selectoldest = 5
% 282.00/282.40
% 282.00/282.40 litorderings [0] = split
% 282.00/282.40 litorderings [1] = extend the termordering, first sorting on arguments
% 282.00/282.40
% 282.00/282.40 termordering = kbo
% 282.00/282.40
% 282.00/282.40 litapriori = 0
% 282.00/282.40 termapriori = 1
% 282.00/282.40 litaposteriori = 0
% 282.00/282.40 termaposteriori = 0
% 282.00/282.40 demodaposteriori = 0
% 282.00/282.40 ordereqreflfact = 0
% 282.00/282.40
% 282.00/282.40 litselect = negord
% 282.00/282.40
% 282.00/282.40 maxweight = 15
% 282.00/282.40 maxdepth = 30000
% 282.00/282.40 maxlength = 115
% 282.00/282.40 maxnrvars = 195
% 282.00/282.40 excuselevel = 1
% 282.00/282.40 increasemaxweight = 1
% 282.00/282.40
% 282.00/282.40 maxselected = 10000000
% 282.00/282.40 maxnrclauses = 10000000
% 282.00/282.40
% 282.00/282.40 showgenerated = 0
% 282.00/282.40 showkept = 0
% 282.00/282.40 showselected = 0
% 282.00/282.40 showdeleted = 0
% 282.00/282.40 showresimp = 1
% 282.00/282.40 showstatus = 2000
% 282.00/282.40
% 282.00/282.40 prologoutput = 1
% 282.00/282.40 nrgoals = 5000000
% 282.00/282.40 totalproof = 1
% 282.00/282.40
% 282.00/282.40 Symbols occurring in the translation:
% 282.00/282.40
% 282.00/282.40 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 282.00/282.40 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 282.00/282.40 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 282.00/282.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 282.00/282.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 282.00/282.40 b [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 282.00/282.40 apply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 282.00/282.40 n [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 282.00/282.40 'strong_fixed_point' [45, 0] (w:1, o:5, a:1, s:1, b:0),
% 282.00/282.40 'fixed_pt' [46, 0] (w:1, o:15, a:1, s:1, b:0).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 Starting Search:
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Failed to find proof!
% 282.00/282.40 maxweight = 15
% 282.00/282.40 maxnrclauses = 10000000
% 282.00/282.40 Generated: 729
% 282.00/282.40 Kept: 17
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 The strategy used was not complete!
% 282.00/282.40
% 282.00/282.40 Increased maxweight to 16
% 282.00/282.40
% 282.00/282.40 Starting Search:
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Failed to find proof!
% 282.00/282.40 maxweight = 16
% 282.00/282.40 maxnrclauses = 10000000
% 282.00/282.40 Generated: 729
% 282.00/282.40 Kept: 17
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 The strategy used was not complete!
% 282.00/282.40
% 282.00/282.40 Increased maxweight to 17
% 282.00/282.40
% 282.00/282.40 Starting Search:
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Failed to find proof!
% 282.00/282.40 maxweight = 17
% 282.00/282.40 maxnrclauses = 10000000
% 282.00/282.40 Generated: 1124
% 282.00/282.40 Kept: 20
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 The strategy used was not complete!
% 282.00/282.40
% 282.00/282.40 Increased maxweight to 18
% 282.00/282.40
% 282.00/282.40 Starting Search:
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Failed to find proof!
% 282.00/282.40 maxweight = 18
% 282.00/282.40 maxnrclauses = 10000000
% 282.00/282.40 Generated: 1124
% 282.00/282.40 Kept: 20
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 The strategy used was not complete!
% 282.00/282.40
% 282.00/282.40 Increased maxweight to 19
% 282.00/282.40
% 282.00/282.40 Starting Search:
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Failed to find proof!
% 282.00/282.40 maxweight = 19
% 282.00/282.40 maxnrclauses = 10000000
% 282.00/282.40 Generated: 9162
% 282.00/282.40 Kept: 58
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 The strategy used was not complete!
% 282.00/282.40
% 282.00/282.40 Increased maxweight to 20
% 282.00/282.40
% 282.00/282.40 Starting Search:
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Failed to find proof!
% 282.00/282.40 maxweight = 20
% 282.00/282.40 maxnrclauses = 10000000
% 282.00/282.40 Generated: 9162
% 282.00/282.40 Kept: 58
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 The strategy used was not complete!
% 282.00/282.40
% 282.00/282.40 Increased maxweight to 21
% 282.00/282.40
% 282.00/282.40 Starting Search:
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Failed to find proof!
% 282.00/282.40 maxweight = 21
% 282.00/282.40 maxnrclauses = 10000000
% 282.00/282.40 Generated: 76251
% 282.00/282.40 Kept: 230
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 The strategy used was not complete!
% 282.00/282.40
% 282.00/282.40 Increased maxweight to 22
% 282.00/282.40
% 282.00/282.40 Starting Search:
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Failed to find proof!
% 282.00/282.40 maxweight = 22
% 282.00/282.40 maxnrclauses = 10000000
% 282.00/282.40 Generated: 76251
% 282.00/282.40 Kept: 230
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 The strategy used was not complete!
% 282.00/282.40
% 282.00/282.40 Increased maxweight to 23
% 282.00/282.40
% 282.00/282.40 Starting Search:
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Failed to find proof!
% 282.00/282.40 maxweight = 23
% 282.00/282.40 maxnrclauses = 10000000
% 282.00/282.40 Generated: 865889
% 282.00/282.40 Kept: 843
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 The strategy used was not complete!
% 282.00/282.40
% 282.00/282.40 Increased maxweight to 24
% 282.00/282.40
% 282.00/282.40 Starting Search:
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Failed to find proof!
% 282.00/282.40 maxweight = 24
% 282.00/282.40 maxnrclauses = 10000000
% 282.00/282.40 Generated: 865889
% 282.00/282.40 Kept: 843
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 The strategy used was not complete!
% 282.00/282.40
% 282.00/282.40 Increased maxweight to 25
% 282.00/282.40
% 282.00/282.40 Starting Search:
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 Intermediate Status:
% 282.00/282.40 Generated: 784762
% 282.00/282.40 Kept: 2001
% 282.00/282.40 Inuse: 505
% 282.00/282.40 Deleted: 202
% 282.00/282.40 Deletedinuse: 14
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Failed to find proof!
% 282.00/282.40 maxweight = 25
% 282.00/282.40 maxnrclauses = 10000000
% 282.00/282.40 Generated: 11134302
% 282.00/282.40 Kept: 3494
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 The strategy used was not complete!
% 282.00/282.40
% 282.00/282.40 Increased maxweight to 26
% 282.00/282.40
% 282.00/282.40 Starting Search:
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 Intermediate Status:
% 282.00/282.40 Generated: 784762
% 282.00/282.40 Kept: 2001
% 282.00/282.40 Inuse: 505
% 282.00/282.40 Deleted: 202
% 282.00/282.40 Deletedinuse: 14
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Failed to find proof!
% 282.00/282.40 maxweight = 26
% 282.00/282.40 maxnrclauses = 10000000
% 282.00/282.40 Generated: 11134302
% 282.00/282.40 Kept: 3494
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 The strategy used was not complete!
% 282.00/282.40
% 282.00/282.40 Increased maxweight to 27
% 282.00/282.40
% 282.00/282.40 Starting Search:
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 Intermediate Status:
% 282.00/282.40 Generated: 70403
% 282.00/282.40 Kept: 2005
% 282.00/282.40 Inuse: 149
% 282.00/282.40 Deleted: 54
% 282.00/282.40 Deletedinuse: 8
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 Intermediate Status:
% 282.00/282.40 Generated: 700823
% 282.00/282.40 Kept: 4021
% 282.00/282.40 Inuse: 460
% 282.00/282.40 Deleted: 183
% 282.00/282.40 Deletedinuse: 26
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 Intermediate Status:
% 282.00/282.40 Generated: 2622061
% 282.00/282.40 Kept: 6093
% 282.00/282.40 Inuse: 954
% 282.00/282.40 Deleted: 563
% 282.00/282.40 Deletedinuse: 109
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 Intermediate Status:
% 282.00/282.40 Generated: 7017620
% 282.00/282.40 Kept: 8093
% 282.00/282.40 Inuse: 1449
% 282.00/282.40 Deleted: 978
% 282.00/282.40 Deletedinuse: 255
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 Intermediate Status:
% 282.00/282.40 Generated: 12387473
% 282.00/282.40 Kept: 10100
% 282.00/282.40 Inuse: 2054
% 282.00/282.40 Deleted: 1839
% 282.00/282.40 Deletedinuse: 578
% 282.00/282.40
% 282.00/282.40 Resimplifying inuse:
% 282.00/282.40 Done
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 Bliksems!, er is een bewijs:
% 282.00/282.40 % SZS status Unsatisfiable
% 282.00/282.40 % SZS output start Refutation
% 282.00/282.40
% 282.00/282.40 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 282.00/282.40 Z ) ) ) ] )
% 282.00/282.40 .
% 282.00/282.40 clause( 1, [ =( apply( apply( apply( n, X ), Y ), Z ), apply( apply( apply(
% 282.00/282.40 X, Z ), Y ), Z ) ) ] )
% 282.00/282.40 .
% 282.00/282.40 clause( 2, [ =( apply( apply( b, apply( apply( b, apply( apply( n, apply(
% 282.00/282.40 apply( b, b ), apply( apply( n, apply( apply( b, b ), n ) ), n ) ) ), n )
% 282.00/282.40 ), b ) ), b ), 'strong_fixed_point' ) ] )
% 282.00/282.40 .
% 282.00/282.40 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 282.00/282.40 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 282.00/282.40 .
% 282.00/282.40 clause( 10, [ =( apply( apply( apply( n, apply( b, X ) ), Z ), Y ), apply(
% 282.00/282.40 apply( X, apply( Y, Z ) ), Y ) ) ] )
% 282.00/282.40 .
% 282.00/282.40 clause( 11, [ =( apply( apply( apply( n, apply( apply( b, X ), Y ) ), T ),
% 282.00/282.40 Z ), apply( apply( apply( X, apply( Y, Z ) ), T ), Z ) ) ] )
% 282.00/282.40 .
% 282.00/282.40 clause( 31, [ =( apply( apply( apply( n, apply( apply( b, b ), apply( apply(
% 282.00/282.40 n, apply( apply( b, b ), n ) ), n ) ) ), n ), apply( b, apply( b, X ) ) )
% 282.00/282.40 , apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 .
% 282.00/282.40 clause( 405, [ =( apply( apply( apply( n, apply( apply( b, b ), X ) ), Z )
% 282.00/282.40 , Y ), apply( apply( X, Y ), apply( Z, Y ) ) ) ] )
% 282.00/282.40 .
% 282.00/282.40 clause( 440, [ =( apply( apply( apply( apply( n, apply( apply( b, b ), n )
% 282.00/282.40 ), Y ), apply( b, X ) ), Z ), apply( apply( X, apply( Z, apply( Y, apply(
% 282.00/282.40 b, X ) ) ) ), Z ) ) ] )
% 282.00/282.40 .
% 282.00/282.40 clause( 469, [ =( apply( apply( apply( n, apply( apply( b, b ), apply(
% 282.00/282.40 apply( n, X ), Y ) ) ), T ), Z ), apply( apply( apply( apply( X, Z ), Y )
% 282.00/282.40 , Z ), apply( T, Z ) ) ) ] )
% 282.00/282.40 .
% 282.00/282.40 clause( 1217, [ =( apply( apply( apply( apply( n, apply( apply( b, b ), n )
% 282.00/282.40 ), n ), apply( b, apply( b, X ) ) ), apply( n, apply( b, apply( b, X ) )
% 282.00/282.40 ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 .
% 282.00/282.40 clause( 6721, [ =( apply( apply( apply( n, apply( b, apply( b, X ) ) ),
% 282.00/282.40 apply( n, apply( b, apply( b, X ) ) ) ), apply( n, apply( b, apply( b, X
% 282.00/282.40 ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 .
% 282.00/282.40 clause( 10417, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 282.00/282.40 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 .
% 282.00/282.40 clause( 10418, [] )
% 282.00/282.40 .
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 % SZS output end Refutation
% 282.00/282.40 found a proof!
% 282.00/282.40
% 282.00/282.40 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 282.00/282.40
% 282.00/282.40 initialclauses(
% 282.00/282.40 [ clause( 10420, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X,
% 282.00/282.40 apply( Y, Z ) ) ) ] )
% 282.00/282.40 , clause( 10421, [ =( apply( apply( apply( n, X ), Y ), Z ), apply( apply(
% 282.00/282.40 apply( X, Z ), Y ), Z ) ) ] )
% 282.00/282.40 , clause( 10422, [ =( 'strong_fixed_point', apply( apply( b, apply( apply(
% 282.00/282.40 b, apply( apply( n, apply( apply( b, b ), apply( apply( n, apply( apply(
% 282.00/282.40 b, b ), n ) ), n ) ) ), n ) ), b ) ), b ) ) ] )
% 282.00/282.40 , clause( 10423, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 282.00/282.40 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 282.00/282.40 ] ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 subsumption(
% 282.00/282.40 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 282.00/282.40 Z ) ) ) ] )
% 282.00/282.40 , clause( 10420, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X,
% 282.00/282.40 apply( Y, Z ) ) ) ] )
% 282.00/282.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 282.00/282.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 subsumption(
% 282.00/282.40 clause( 1, [ =( apply( apply( apply( n, X ), Y ), Z ), apply( apply( apply(
% 282.00/282.40 X, Z ), Y ), Z ) ) ] )
% 282.00/282.40 , clause( 10421, [ =( apply( apply( apply( n, X ), Y ), Z ), apply( apply(
% 282.00/282.40 apply( X, Z ), Y ), Z ) ) ] )
% 282.00/282.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 282.00/282.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10429, [ =( apply( apply( b, apply( apply( b, apply( apply( n,
% 282.00/282.40 apply( apply( b, b ), apply( apply( n, apply( apply( b, b ), n ) ), n ) )
% 282.00/282.40 ), n ) ), b ) ), b ), 'strong_fixed_point' ) ] )
% 282.00/282.40 , clause( 10422, [ =( 'strong_fixed_point', apply( apply( b, apply( apply(
% 282.00/282.40 b, apply( apply( n, apply( apply( b, b ), apply( apply( n, apply( apply(
% 282.00/282.40 b, b ), n ) ), n ) ) ), n ) ), b ) ), b ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 subsumption(
% 282.00/282.40 clause( 2, [ =( apply( apply( b, apply( apply( b, apply( apply( n, apply(
% 282.00/282.40 apply( b, b ), apply( apply( n, apply( apply( b, b ), n ) ), n ) ) ), n )
% 282.00/282.40 ), b ) ), b ), 'strong_fixed_point' ) ] )
% 282.00/282.40 , clause( 10429, [ =( apply( apply( b, apply( apply( b, apply( apply( n,
% 282.00/282.40 apply( apply( b, b ), apply( apply( n, apply( apply( b, b ), n ) ), n ) )
% 282.00/282.40 ), n ) ), b ) ), b ), 'strong_fixed_point' ) ] )
% 282.00/282.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10433, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 282.00/282.40 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 282.00/282.40 , clause( 10423, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 282.00/282.40 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 subsumption(
% 282.00/282.40 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 282.00/282.40 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 282.00/282.40 , clause( 10433, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 282.00/282.40 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 282.00/282.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10435, [ =( apply( apply( apply( X, Z ), Y ), Z ), apply( apply(
% 282.00/282.40 apply( n, X ), Y ), Z ) ) ] )
% 282.00/282.40 , clause( 1, [ =( apply( apply( apply( n, X ), Y ), Z ), apply( apply(
% 282.00/282.40 apply( X, Z ), Y ), Z ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 paramod(
% 282.00/282.40 clause( 10447, [ =( apply( apply( X, apply( Y, Z ) ), Y ), apply( apply(
% 282.00/282.40 apply( n, apply( b, X ) ), Z ), Y ) ) ] )
% 282.00/282.40 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 282.00/282.40 , Z ) ) ) ] )
% 282.00/282.40 , 0, clause( 10435, [ =( apply( apply( apply( X, Z ), Y ), Z ), apply(
% 282.00/282.40 apply( apply( n, X ), Y ), Z ) ) ] )
% 282.00/282.40 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 282.00/282.40 substitution( 1, [ :=( X, apply( b, X ) ), :=( Y, Z ), :=( Z, Y )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10450, [ =( apply( apply( apply( n, apply( b, X ) ), Z ), Y ),
% 282.00/282.40 apply( apply( X, apply( Y, Z ) ), Y ) ) ] )
% 282.00/282.40 , clause( 10447, [ =( apply( apply( X, apply( Y, Z ) ), Y ), apply( apply(
% 282.00/282.40 apply( n, apply( b, X ) ), Z ), Y ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 subsumption(
% 282.00/282.40 clause( 10, [ =( apply( apply( apply( n, apply( b, X ) ), Z ), Y ), apply(
% 282.00/282.40 apply( X, apply( Y, Z ) ), Y ) ) ] )
% 282.00/282.40 , clause( 10450, [ =( apply( apply( apply( n, apply( b, X ) ), Z ), Y ),
% 282.00/282.40 apply( apply( X, apply( Y, Z ) ), Y ) ) ] )
% 282.00/282.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 282.00/282.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10453, [ =( apply( apply( apply( X, Z ), Y ), Z ), apply( apply(
% 282.00/282.40 apply( n, X ), Y ), Z ) ) ] )
% 282.00/282.40 , clause( 1, [ =( apply( apply( apply( n, X ), Y ), Z ), apply( apply(
% 282.00/282.40 apply( X, Z ), Y ), Z ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 paramod(
% 282.00/282.40 clause( 10466, [ =( apply( apply( apply( X, apply( Y, Z ) ), T ), Z ),
% 282.00/282.40 apply( apply( apply( n, apply( apply( b, X ), Y ) ), T ), Z ) ) ] )
% 282.00/282.40 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 282.00/282.40 , Z ) ) ) ] )
% 282.00/282.40 , 0, clause( 10453, [ =( apply( apply( apply( X, Z ), Y ), Z ), apply(
% 282.00/282.40 apply( apply( n, X ), Y ), Z ) ) ] )
% 282.00/282.40 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 282.00/282.40 substitution( 1, [ :=( X, apply( apply( b, X ), Y ) ), :=( Y, T ), :=( Z
% 282.00/282.40 , Z )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10469, [ =( apply( apply( apply( n, apply( apply( b, X ), Y ) ), T
% 282.00/282.40 ), Z ), apply( apply( apply( X, apply( Y, Z ) ), T ), Z ) ) ] )
% 282.00/282.40 , clause( 10466, [ =( apply( apply( apply( X, apply( Y, Z ) ), T ), Z ),
% 282.00/282.40 apply( apply( apply( n, apply( apply( b, X ), Y ) ), T ), Z ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 282.00/282.40 ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 subsumption(
% 282.00/282.40 clause( 11, [ =( apply( apply( apply( n, apply( apply( b, X ), Y ) ), T ),
% 282.00/282.40 Z ), apply( apply( apply( X, apply( Y, Z ) ), T ), Z ) ) ] )
% 282.00/282.40 , clause( 10469, [ =( apply( apply( apply( n, apply( apply( b, X ), Y ) ),
% 282.00/282.40 T ), Z ), apply( apply( apply( X, apply( Y, Z ) ), T ), Z ) ) ] )
% 282.00/282.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 282.00/282.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10471, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X )
% 282.00/282.40 , Y ), Z ) ) ] )
% 282.00/282.40 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 282.00/282.40 , Z ) ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 paramod(
% 282.00/282.40 clause( 10474, [ =( apply( apply( apply( b, apply( apply( n, apply( apply(
% 282.00/282.40 b, b ), apply( apply( n, apply( apply( b, b ), n ) ), n ) ) ), n ) ), b )
% 282.00/282.40 , apply( b, X ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , clause( 2, [ =( apply( apply( b, apply( apply( b, apply( apply( n, apply(
% 282.00/282.40 apply( b, b ), apply( apply( n, apply( apply( b, b ), n ) ), n ) ) ), n )
% 282.00/282.40 ), b ) ), b ), 'strong_fixed_point' ) ] )
% 282.00/282.40 , 0, clause( 10471, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b
% 282.00/282.40 , X ), Y ), Z ) ) ] )
% 282.00/282.40 , 0, 27, substitution( 0, [] ), substitution( 1, [ :=( X, apply( apply( b,
% 282.00/282.40 apply( apply( n, apply( apply( b, b ), apply( apply( n, apply( apply( b,
% 282.00/282.40 b ), n ) ), n ) ) ), n ) ), b ) ), :=( Y, b ), :=( Z, X )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 paramod(
% 282.00/282.40 clause( 10475, [ =( apply( apply( apply( n, apply( apply( b, b ), apply(
% 282.00/282.40 apply( n, apply( apply( b, b ), n ) ), n ) ) ), n ), apply( b, apply( b,
% 282.00/282.40 X ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 282.00/282.40 , Z ) ) ) ] )
% 282.00/282.40 , 0, clause( 10474, [ =( apply( apply( apply( b, apply( apply( n, apply(
% 282.00/282.40 apply( b, b ), apply( apply( n, apply( apply( b, b ), n ) ), n ) ) ), n )
% 282.00/282.40 ), b ), apply( b, X ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , 0, 1, substitution( 0, [ :=( X, apply( apply( n, apply( apply( b, b ),
% 282.00/282.40 apply( apply( n, apply( apply( b, b ), n ) ), n ) ) ), n ) ), :=( Y, b )
% 282.00/282.40 , :=( Z, apply( b, X ) )] ), substitution( 1, [ :=( X, X )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 subsumption(
% 282.00/282.40 clause( 31, [ =( apply( apply( apply( n, apply( apply( b, b ), apply( apply(
% 282.00/282.40 n, apply( apply( b, b ), n ) ), n ) ) ), n ), apply( b, apply( b, X ) ) )
% 282.00/282.40 , apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , clause( 10475, [ =( apply( apply( apply( n, apply( apply( b, b ), apply(
% 282.00/282.40 apply( n, apply( apply( b, b ), n ) ), n ) ) ), n ), apply( b, apply( b,
% 282.00/282.40 X ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10477, [ =( apply( apply( apply( X, apply( Y, T ) ), Z ), T ),
% 282.00/282.40 apply( apply( apply( n, apply( apply( b, X ), Y ) ), Z ), T ) ) ] )
% 282.00/282.40 , clause( 11, [ =( apply( apply( apply( n, apply( apply( b, X ), Y ) ), T )
% 282.00/282.40 , Z ), apply( apply( apply( X, apply( Y, Z ) ), T ), Z ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 282.00/282.40 ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10478, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X )
% 282.00/282.40 , Y ), Z ) ) ] )
% 282.00/282.40 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 282.00/282.40 , Z ) ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 paramod(
% 282.00/282.40 clause( 10481, [ =( apply( apply( X, Y ), apply( Z, Y ) ), apply( apply(
% 282.00/282.40 apply( n, apply( apply( b, b ), X ) ), Z ), Y ) ) ] )
% 282.00/282.40 , clause( 10477, [ =( apply( apply( apply( X, apply( Y, T ) ), Z ), T ),
% 282.00/282.40 apply( apply( apply( n, apply( apply( b, X ), Y ) ), Z ), T ) ) ] )
% 282.00/282.40 , 0, clause( 10478, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b
% 282.00/282.40 , X ), Y ), Z ) ) ] )
% 282.00/282.40 , 0, 8, substitution( 0, [ :=( X, b ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] )
% 282.00/282.40 , substitution( 1, [ :=( X, apply( X, Y ) ), :=( Y, Z ), :=( Z, Y )] )
% 282.00/282.40 ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10484, [ =( apply( apply( apply( n, apply( apply( b, b ), X ) ), Z
% 282.00/282.40 ), Y ), apply( apply( X, Y ), apply( Z, Y ) ) ) ] )
% 282.00/282.40 , clause( 10481, [ =( apply( apply( X, Y ), apply( Z, Y ) ), apply( apply(
% 282.00/282.40 apply( n, apply( apply( b, b ), X ) ), Z ), Y ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 subsumption(
% 282.00/282.40 clause( 405, [ =( apply( apply( apply( n, apply( apply( b, b ), X ) ), Z )
% 282.00/282.40 , Y ), apply( apply( X, Y ), apply( Z, Y ) ) ) ] )
% 282.00/282.40 , clause( 10484, [ =( apply( apply( apply( n, apply( apply( b, b ), X ) ),
% 282.00/282.40 Z ), Y ), apply( apply( X, Y ), apply( Z, Y ) ) ) ] )
% 282.00/282.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 282.00/282.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10485, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 282.00/282.40 apply( n, apply( apply( b, b ), X ) ), Y ), Z ) ) ] )
% 282.00/282.40 , clause( 405, [ =( apply( apply( apply( n, apply( apply( b, b ), X ) ), Z
% 282.00/282.40 ), Y ), apply( apply( X, Y ), apply( Z, Y ) ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10486, [ =( apply( apply( X, apply( Z, Y ) ), Z ), apply( apply(
% 282.00/282.40 apply( n, apply( b, X ) ), Y ), Z ) ) ] )
% 282.00/282.40 , clause( 10, [ =( apply( apply( apply( n, apply( b, X ) ), Z ), Y ), apply(
% 282.00/282.40 apply( X, apply( Y, Z ) ), Y ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 paramod(
% 282.00/282.40 clause( 10490, [ =( apply( apply( X, apply( Y, apply( Z, apply( b, X ) ) )
% 282.00/282.40 ), Y ), apply( apply( apply( apply( n, apply( apply( b, b ), n ) ), Z )
% 282.00/282.40 , apply( b, X ) ), Y ) ) ] )
% 282.00/282.40 , clause( 10485, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 282.00/282.40 apply( n, apply( apply( b, b ), X ) ), Y ), Z ) ) ] )
% 282.00/282.40 , 0, clause( 10486, [ =( apply( apply( X, apply( Z, Y ) ), Z ), apply(
% 282.00/282.40 apply( apply( n, apply( b, X ) ), Y ), Z ) ) ] )
% 282.00/282.40 , 0, 13, substitution( 0, [ :=( X, n ), :=( Y, Z ), :=( Z, apply( b, X ) )] )
% 282.00/282.40 , substitution( 1, [ :=( X, X ), :=( Y, apply( Z, apply( b, X ) ) ), :=(
% 282.00/282.40 Z, Y )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10494, [ =( apply( apply( apply( apply( n, apply( apply( b, b ), n
% 282.00/282.40 ) ), Z ), apply( b, X ) ), Y ), apply( apply( X, apply( Y, apply( Z,
% 282.00/282.40 apply( b, X ) ) ) ), Y ) ) ] )
% 282.00/282.40 , clause( 10490, [ =( apply( apply( X, apply( Y, apply( Z, apply( b, X ) )
% 282.00/282.40 ) ), Y ), apply( apply( apply( apply( n, apply( apply( b, b ), n ) ), Z
% 282.00/282.40 ), apply( b, X ) ), Y ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 subsumption(
% 282.00/282.40 clause( 440, [ =( apply( apply( apply( apply( n, apply( apply( b, b ), n )
% 282.00/282.40 ), Y ), apply( b, X ) ), Z ), apply( apply( X, apply( Z, apply( Y, apply(
% 282.00/282.40 b, X ) ) ) ), Z ) ) ] )
% 282.00/282.40 , clause( 10494, [ =( apply( apply( apply( apply( n, apply( apply( b, b ),
% 282.00/282.40 n ) ), Z ), apply( b, X ) ), Y ), apply( apply( X, apply( Y, apply( Z,
% 282.00/282.40 apply( b, X ) ) ) ), Y ) ) ] )
% 282.00/282.40 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 282.00/282.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10496, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 282.00/282.40 apply( n, apply( apply( b, b ), X ) ), Y ), Z ) ) ] )
% 282.00/282.40 , clause( 405, [ =( apply( apply( apply( n, apply( apply( b, b ), X ) ), Z
% 282.00/282.40 ), Y ), apply( apply( X, Y ), apply( Z, Y ) ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 paramod(
% 282.00/282.40 clause( 10534, [ =( apply( apply( apply( apply( X, Z ), Y ), Z ), apply( T
% 282.00/282.40 , Z ) ), apply( apply( apply( n, apply( apply( b, b ), apply( apply( n, X
% 282.00/282.40 ), Y ) ) ), T ), Z ) ) ] )
% 282.00/282.40 , clause( 1, [ =( apply( apply( apply( n, X ), Y ), Z ), apply( apply(
% 282.00/282.40 apply( X, Z ), Y ), Z ) ) ] )
% 282.00/282.40 , 0, clause( 10496, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply(
% 282.00/282.40 apply( apply( n, apply( apply( b, b ), X ) ), Y ), Z ) ) ] )
% 282.00/282.40 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 282.00/282.40 substitution( 1, [ :=( X, apply( apply( n, X ), Y ) ), :=( Y, T ), :=( Z
% 282.00/282.40 , Z )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10543, [ =( apply( apply( apply( n, apply( apply( b, b ), apply(
% 282.00/282.40 apply( n, X ), Z ) ) ), T ), Y ), apply( apply( apply( apply( X, Y ), Z )
% 282.00/282.40 , Y ), apply( T, Y ) ) ) ] )
% 282.00/282.40 , clause( 10534, [ =( apply( apply( apply( apply( X, Z ), Y ), Z ), apply(
% 282.00/282.40 T, Z ) ), apply( apply( apply( n, apply( apply( b, b ), apply( apply( n,
% 282.00/282.40 X ), Y ) ) ), T ), Z ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, T )] )
% 282.00/282.40 ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 subsumption(
% 282.00/282.40 clause( 469, [ =( apply( apply( apply( n, apply( apply( b, b ), apply(
% 282.00/282.40 apply( n, X ), Y ) ) ), T ), Z ), apply( apply( apply( apply( X, Z ), Y )
% 282.00/282.40 , Z ), apply( T, Z ) ) ) ] )
% 282.00/282.40 , clause( 10543, [ =( apply( apply( apply( n, apply( apply( b, b ), apply(
% 282.00/282.40 apply( n, X ), Z ) ) ), T ), Y ), apply( apply( apply( apply( X, Y ), Z )
% 282.00/282.40 , Y ), apply( T, Y ) ) ) ] )
% 282.00/282.40 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, T )] ),
% 282.00/282.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10547, [ =( apply( 'strong_fixed_point', X ), apply( apply( apply(
% 282.00/282.40 n, apply( apply( b, b ), apply( apply( n, apply( apply( b, b ), n ) ), n
% 282.00/282.40 ) ) ), n ), apply( b, apply( b, X ) ) ) ) ] )
% 282.00/282.40 , clause( 31, [ =( apply( apply( apply( n, apply( apply( b, b ), apply(
% 282.00/282.40 apply( n, apply( apply( b, b ), n ) ), n ) ) ), n ), apply( b, apply( b,
% 282.00/282.40 X ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 paramod(
% 282.00/282.40 clause( 10549, [ =( apply( 'strong_fixed_point', X ), apply( apply( apply(
% 282.00/282.40 apply( n, apply( apply( b, b ), n ) ), n ), apply( b, apply( b, X ) ) ),
% 282.00/282.40 apply( n, apply( b, apply( b, X ) ) ) ) ) ] )
% 282.00/282.40 , clause( 405, [ =( apply( apply( apply( n, apply( apply( b, b ), X ) ), Z
% 282.00/282.40 ), Y ), apply( apply( X, Y ), apply( Z, Y ) ) ) ] )
% 282.00/282.40 , 0, clause( 10547, [ =( apply( 'strong_fixed_point', X ), apply( apply(
% 282.00/282.40 apply( n, apply( apply( b, b ), apply( apply( n, apply( apply( b, b ), n
% 282.00/282.40 ) ), n ) ) ), n ), apply( b, apply( b, X ) ) ) ) ] )
% 282.00/282.40 , 0, 4, substitution( 0, [ :=( X, apply( apply( n, apply( apply( b, b ), n
% 282.00/282.40 ) ), n ) ), :=( Y, apply( b, apply( b, X ) ) ), :=( Z, n )] ),
% 282.00/282.40 substitution( 1, [ :=( X, X )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10552, [ =( apply( apply( apply( apply( n, apply( apply( b, b ), n
% 282.00/282.40 ) ), n ), apply( b, apply( b, X ) ) ), apply( n, apply( b, apply( b, X )
% 282.00/282.40 ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , clause( 10549, [ =( apply( 'strong_fixed_point', X ), apply( apply( apply(
% 282.00/282.40 apply( n, apply( apply( b, b ), n ) ), n ), apply( b, apply( b, X ) ) ),
% 282.00/282.40 apply( n, apply( b, apply( b, X ) ) ) ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 subsumption(
% 282.00/282.40 clause( 1217, [ =( apply( apply( apply( apply( n, apply( apply( b, b ), n )
% 282.00/282.40 ), n ), apply( b, apply( b, X ) ) ), apply( n, apply( b, apply( b, X ) )
% 282.00/282.40 ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , clause( 10552, [ =( apply( apply( apply( apply( n, apply( apply( b, b ),
% 282.00/282.40 n ) ), n ), apply( b, apply( b, X ) ) ), apply( n, apply( b, apply( b, X
% 282.00/282.40 ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10553, [ =( apply( apply( apply( apply( X, T ), Y ), T ), apply( Z
% 282.00/282.40 , T ) ), apply( apply( apply( n, apply( apply( b, b ), apply( apply( n, X
% 282.00/282.40 ), Y ) ) ), Z ), T ) ) ] )
% 282.00/282.40 , clause( 469, [ =( apply( apply( apply( n, apply( apply( b, b ), apply(
% 282.00/282.40 apply( n, X ), Y ) ) ), T ), Z ), apply( apply( apply( apply( X, Z ), Y )
% 282.00/282.40 , Z ), apply( T, Z ) ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 282.00/282.40 ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 paramod(
% 282.00/282.40 clause( 10560, [ =( apply( apply( apply( apply( apply( apply( b, b ), n ),
% 282.00/282.40 apply( b, apply( b, X ) ) ), n ), apply( b, apply( b, X ) ) ), apply( n,
% 282.00/282.40 apply( b, apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , clause( 31, [ =( apply( apply( apply( n, apply( apply( b, b ), apply(
% 282.00/282.40 apply( n, apply( apply( b, b ), n ) ), n ) ) ), n ), apply( b, apply( b,
% 282.00/282.40 X ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , 0, clause( 10553, [ =( apply( apply( apply( apply( X, T ), Y ), T ),
% 282.00/282.40 apply( Z, T ) ), apply( apply( apply( n, apply( apply( b, b ), apply(
% 282.00/282.40 apply( n, X ), Y ) ) ), Z ), T ) ) ] )
% 282.00/282.40 , 0, 28, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, apply(
% 282.00/282.40 apply( b, b ), n ) ), :=( Y, n ), :=( Z, n ), :=( T, apply( b, apply( b,
% 282.00/282.40 X ) ) )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 paramod(
% 282.00/282.40 clause( 10561, [ =( apply( apply( apply( apply( b, apply( n, apply( b,
% 282.00/282.40 apply( b, X ) ) ) ), n ), apply( b, apply( b, X ) ) ), apply( n, apply( b
% 282.00/282.40 , apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 282.00/282.40 , Z ) ) ) ] )
% 282.00/282.40 , 0, clause( 10560, [ =( apply( apply( apply( apply( apply( apply( b, b ),
% 282.00/282.40 n ), apply( b, apply( b, X ) ) ), n ), apply( b, apply( b, X ) ) ), apply(
% 282.00/282.40 n, apply( b, apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , 0, 4, substitution( 0, [ :=( X, b ), :=( Y, n ), :=( Z, apply( b, apply(
% 282.00/282.40 b, X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 paramod(
% 282.00/282.40 clause( 10563, [ =( apply( apply( apply( n, apply( b, apply( b, X ) ) ),
% 282.00/282.40 apply( n, apply( b, apply( b, X ) ) ) ), apply( n, apply( b, apply( b, X
% 282.00/282.40 ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 282.00/282.40 , Z ) ) ) ] )
% 282.00/282.40 , 0, clause( 10561, [ =( apply( apply( apply( apply( b, apply( n, apply( b
% 282.00/282.40 , apply( b, X ) ) ) ), n ), apply( b, apply( b, X ) ) ), apply( n, apply(
% 282.00/282.40 b, apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , 0, 2, substitution( 0, [ :=( X, apply( n, apply( b, apply( b, X ) ) ) ),
% 282.00/282.40 :=( Y, n ), :=( Z, apply( b, apply( b, X ) ) )] ), substitution( 1, [
% 282.00/282.40 :=( X, X )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 subsumption(
% 282.00/282.40 clause( 6721, [ =( apply( apply( apply( n, apply( b, apply( b, X ) ) ),
% 282.00/282.40 apply( n, apply( b, apply( b, X ) ) ) ), apply( n, apply( b, apply( b, X
% 282.00/282.40 ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , clause( 10563, [ =( apply( apply( apply( n, apply( b, apply( b, X ) ) ),
% 282.00/282.40 apply( n, apply( b, apply( b, X ) ) ) ), apply( n, apply( b, apply( b, X
% 282.00/282.40 ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10565, [ =( apply( 'strong_fixed_point', X ), apply( apply( apply(
% 282.00/282.40 apply( n, apply( apply( b, b ), n ) ), n ), apply( b, apply( b, X ) ) ),
% 282.00/282.40 apply( n, apply( b, apply( b, X ) ) ) ) ) ] )
% 282.00/282.40 , clause( 1217, [ =( apply( apply( apply( apply( n, apply( apply( b, b ), n
% 282.00/282.40 ) ), n ), apply( b, apply( b, X ) ) ), apply( n, apply( b, apply( b, X )
% 282.00/282.40 ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 paramod(
% 282.00/282.40 clause( 10569, [ =( apply( 'strong_fixed_point', X ), apply( apply( apply(
% 282.00/282.40 b, X ), apply( apply( n, apply( b, apply( b, X ) ) ), apply( n, apply( b
% 282.00/282.40 , apply( b, X ) ) ) ) ), apply( n, apply( b, apply( b, X ) ) ) ) ) ] )
% 282.00/282.40 , clause( 440, [ =( apply( apply( apply( apply( n, apply( apply( b, b ), n
% 282.00/282.40 ) ), Y ), apply( b, X ) ), Z ), apply( apply( X, apply( Z, apply( Y,
% 282.00/282.40 apply( b, X ) ) ) ), Z ) ) ] )
% 282.00/282.40 , 0, clause( 10565, [ =( apply( 'strong_fixed_point', X ), apply( apply(
% 282.00/282.40 apply( apply( n, apply( apply( b, b ), n ) ), n ), apply( b, apply( b, X
% 282.00/282.40 ) ) ), apply( n, apply( b, apply( b, X ) ) ) ) ) ] )
% 282.00/282.40 , 0, 4, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, n ), :=( Z, apply(
% 282.00/282.40 n, apply( b, apply( b, X ) ) ) )] ), substitution( 1, [ :=( X, X )] )
% 282.00/282.40 ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 paramod(
% 282.00/282.40 clause( 10570, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 282.00/282.40 apply( apply( n, apply( b, apply( b, X ) ) ), apply( n, apply( b, apply(
% 282.00/282.40 b, X ) ) ) ), apply( n, apply( b, apply( b, X ) ) ) ) ) ) ] )
% 282.00/282.40 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 282.00/282.40 , Z ) ) ) ] )
% 282.00/282.40 , 0, clause( 10569, [ =( apply( 'strong_fixed_point', X ), apply( apply(
% 282.00/282.40 apply( b, X ), apply( apply( n, apply( b, apply( b, X ) ) ), apply( n,
% 282.00/282.40 apply( b, apply( b, X ) ) ) ) ), apply( n, apply( b, apply( b, X ) ) ) )
% 282.00/282.40 ) ] )
% 282.00/282.40 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, apply( apply( n, apply( b,
% 282.00/282.40 apply( b, X ) ) ), apply( n, apply( b, apply( b, X ) ) ) ) ), :=( Z,
% 282.00/282.40 apply( n, apply( b, apply( b, X ) ) ) )] ), substitution( 1, [ :=( X, X )] )
% 282.00/282.40 ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 paramod(
% 282.00/282.40 clause( 10571, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 282.00/282.40 'strong_fixed_point', X ) ) ) ] )
% 282.00/282.40 , clause( 6721, [ =( apply( apply( apply( n, apply( b, apply( b, X ) ) ),
% 282.00/282.40 apply( n, apply( b, apply( b, X ) ) ) ), apply( n, apply( b, apply( b, X
% 282.00/282.40 ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , 0, clause( 10570, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 282.00/282.40 apply( apply( n, apply( b, apply( b, X ) ) ), apply( n, apply( b, apply(
% 282.00/282.40 b, X ) ) ) ), apply( n, apply( b, apply( b, X ) ) ) ) ) ) ] )
% 282.00/282.40 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 282.00/282.40 ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10572, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 282.00/282.40 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , clause( 10571, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 282.00/282.40 'strong_fixed_point', X ) ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 subsumption(
% 282.00/282.40 clause( 10417, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 282.00/282.40 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , clause( 10572, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 282.00/282.40 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10573, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 282.00/282.40 'strong_fixed_point', X ) ) ) ] )
% 282.00/282.40 , clause( 10417, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 282.00/282.40 'strong_fixed_point', X ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [ :=( X, X )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 eqswap(
% 282.00/282.40 clause( 10574, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 282.00/282.40 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 282.00/282.40 , clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 282.00/282.40 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 resolution(
% 282.00/282.40 clause( 10575, [] )
% 282.00/282.40 , clause( 10574, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 282.00/282.40 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 282.00/282.40 , 0, clause( 10573, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 282.00/282.40 'strong_fixed_point', X ) ) ) ] )
% 282.00/282.40 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'fixed_pt' )] )).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 subsumption(
% 282.00/282.40 clause( 10418, [] )
% 282.00/282.40 , clause( 10575, [] )
% 282.00/282.40 , substitution( 0, [] ), permutation( 0, [] ) ).
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 end.
% 282.00/282.40
% 282.00/282.40 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 282.00/282.40
% 282.00/282.40 Memory use:
% 282.00/282.40
% 282.00/282.40 space for terms: 271417
% 282.00/282.40 space for clauses: 1630204
% 282.00/282.40
% 282.00/282.40
% 282.00/282.40 clauses generated: 13505306
% 282.00/282.40 clauses kept: 10419
% 282.00/282.40 clauses selected: 2283
% 282.00/282.40 clauses deleted: 2145
% 282.00/282.40 clauses inuse deleted: 721
% 282.00/282.40
% 282.00/282.40 subsentry: 250391
% 282.00/282.40 literals s-matched: 249810
% 282.00/282.40 literals matched: 249804
% 282.00/282.40 full subsumption: 0
% 282.00/282.40
% 282.00/282.40 checksum: 1960104528
% 282.00/282.40
% 282.00/282.40
% 282.00/282.41 Bliksem ended
%------------------------------------------------------------------------------