TSTP Solution File: COL042-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL042-3 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 00:12:26 EDT 2022
% Result : Unsatisfiable 41.31s 41.71s
% Output : Refutation 41.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : COL042-3 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue May 31 06:15:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 41.31/41.71 *** allocated 10000 integers for termspace/termends
% 41.31/41.71 *** allocated 10000 integers for clauses
% 41.31/41.71 *** allocated 10000 integers for justifications
% 41.31/41.71 Bliksem 1.12
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 Automatic Strategy Selection
% 41.31/41.71
% 41.31/41.71 Clauses:
% 41.31/41.71 [
% 41.31/41.71 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 41.31/41.71 ],
% 41.31/41.71 [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ],
% 41.31/41.71 [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X, 'fixed_pt'
% 41.31/41.71 ) ) ) ), 'fixed_point'( X ) ],
% 41.31/41.71 [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply( w1, w1 ) )
% 41.31/41.71 , apply( b, w1 ) ) ), apply( apply( b, b ), b ) ) ) ) ]
% 41.31/41.71 ] .
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 percentage equality = 0.600000, percentage horn = 1.000000
% 41.31/41.71 This is a problem with some equality
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 Options Used:
% 41.31/41.71
% 41.31/41.71 useres = 1
% 41.31/41.71 useparamod = 1
% 41.31/41.71 useeqrefl = 1
% 41.31/41.71 useeqfact = 1
% 41.31/41.71 usefactor = 1
% 41.31/41.71 usesimpsplitting = 0
% 41.31/41.71 usesimpdemod = 5
% 41.31/41.71 usesimpres = 3
% 41.31/41.71
% 41.31/41.71 resimpinuse = 1000
% 41.31/41.71 resimpclauses = 20000
% 41.31/41.71 substype = eqrewr
% 41.31/41.71 backwardsubs = 1
% 41.31/41.71 selectoldest = 5
% 41.31/41.71
% 41.31/41.71 litorderings [0] = split
% 41.31/41.71 litorderings [1] = extend the termordering, first sorting on arguments
% 41.31/41.71
% 41.31/41.71 termordering = kbo
% 41.31/41.71
% 41.31/41.71 litapriori = 0
% 41.31/41.71 termapriori = 1
% 41.31/41.71 litaposteriori = 0
% 41.31/41.71 termaposteriori = 0
% 41.31/41.71 demodaposteriori = 0
% 41.31/41.71 ordereqreflfact = 0
% 41.31/41.71
% 41.31/41.71 litselect = negord
% 41.31/41.71
% 41.31/41.71 maxweight = 15
% 41.31/41.71 maxdepth = 30000
% 41.31/41.71 maxlength = 115
% 41.31/41.71 maxnrvars = 195
% 41.31/41.71 excuselevel = 1
% 41.31/41.71 increasemaxweight = 1
% 41.31/41.71
% 41.31/41.71 maxselected = 10000000
% 41.31/41.71 maxnrclauses = 10000000
% 41.31/41.71
% 41.31/41.71 showgenerated = 0
% 41.31/41.71 showkept = 0
% 41.31/41.71 showselected = 0
% 41.31/41.71 showdeleted = 0
% 41.31/41.71 showresimp = 1
% 41.31/41.71 showstatus = 2000
% 41.31/41.71
% 41.31/41.71 prologoutput = 1
% 41.31/41.71 nrgoals = 5000000
% 41.31/41.71 totalproof = 1
% 41.31/41.71
% 41.31/41.71 Symbols occurring in the translation:
% 41.31/41.71
% 41.31/41.71 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 41.31/41.71 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 41.31/41.71 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 41.31/41.71 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 41.31/41.71 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 41.31/41.71 b [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 41.31/41.71 apply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 41.31/41.71 w1 [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 41.31/41.71 'fixed_pt' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 41.31/41.71 'fixed_point' [47, 1] (w:1, o:21, a:1, s:1, b:0).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 Starting Search:
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71 Failed to find proof!
% 41.31/41.71 maxweight = 15
% 41.31/41.71 maxnrclauses = 10000000
% 41.31/41.71 Generated: 1155
% 41.31/41.71 Kept: 28
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 The strategy used was not complete!
% 41.31/41.71
% 41.31/41.71 Increased maxweight to 16
% 41.31/41.71
% 41.31/41.71 Starting Search:
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71 Failed to find proof!
% 41.31/41.71 maxweight = 16
% 41.31/41.71 maxnrclauses = 10000000
% 41.31/41.71 Generated: 1155
% 41.31/41.71 Kept: 28
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 The strategy used was not complete!
% 41.31/41.71
% 41.31/41.71 Increased maxweight to 17
% 41.31/41.71
% 41.31/41.71 Starting Search:
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71 Failed to find proof!
% 41.31/41.71 maxweight = 17
% 41.31/41.71 maxnrclauses = 10000000
% 41.31/41.71 Generated: 2557
% 41.31/41.71 Kept: 50
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 The strategy used was not complete!
% 41.31/41.71
% 41.31/41.71 Increased maxweight to 18
% 41.31/41.71
% 41.31/41.71 Starting Search:
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71 Failed to find proof!
% 41.31/41.71 maxweight = 18
% 41.31/41.71 maxnrclauses = 10000000
% 41.31/41.71 Generated: 2563
% 41.31/41.71 Kept: 51
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 The strategy used was not complete!
% 41.31/41.71
% 41.31/41.71 Increased maxweight to 19
% 41.31/41.71
% 41.31/41.71 Starting Search:
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71 Failed to find proof!
% 41.31/41.71 maxweight = 19
% 41.31/41.71 maxnrclauses = 10000000
% 41.31/41.71 Generated: 87993
% 41.31/41.71 Kept: 284
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 The strategy used was not complete!
% 41.31/41.71
% 41.31/41.71 Increased maxweight to 20
% 41.31/41.71
% 41.31/41.71 Starting Search:
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71 Failed to find proof!
% 41.31/41.71 maxweight = 20
% 41.31/41.71 maxnrclauses = 10000000
% 41.31/41.71 Generated: 88040
% 41.31/41.71 Kept: 287
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 The strategy used was not complete!
% 41.31/41.71
% 41.31/41.71 Increased maxweight to 21
% 41.31/41.71
% 41.31/41.71 Starting Search:
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71 Failed to find proof!
% 41.31/41.71 maxweight = 21
% 41.31/41.71 maxnrclauses = 10000000
% 41.31/41.71 Generated: 449667
% 41.31/41.71 Kept: 793
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 The strategy used was not complete!
% 41.31/41.71
% 41.31/41.71 Increased maxweight to 22
% 41.31/41.71
% 41.31/41.71 Starting Search:
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71 Failed to find proof!
% 41.31/41.71 maxweight = 22
% 41.31/41.71 maxnrclauses = 10000000
% 41.31/41.71 Generated: 449738
% 41.31/41.71 Kept: 797
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 The strategy used was not complete!
% 41.31/41.71
% 41.31/41.71 Increased maxweight to 23
% 41.31/41.71
% 41.31/41.71 Starting Search:
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 Intermediate Status:
% 41.31/41.71 Generated: 1445860
% 41.31/41.71 Kept: 2000
% 41.31/41.71 Inuse: 939
% 41.31/41.71 Deleted: 607
% 41.31/41.71 Deletedinuse: 24
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71 Failed to find proof!
% 41.31/41.71 maxweight = 23
% 41.31/41.71 maxnrclauses = 10000000
% 41.31/41.71 Generated: 2816529
% 41.31/41.71 Kept: 2081
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 The strategy used was not complete!
% 41.31/41.71
% 41.31/41.71 Increased maxweight to 24
% 41.31/41.71
% 41.31/41.71 Starting Search:
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 Intermediate Status:
% 41.31/41.71 Generated: 1445860
% 41.31/41.71 Kept: 2000
% 41.31/41.71 Inuse: 939
% 41.31/41.71 Deleted: 607
% 41.31/41.71 Deletedinuse: 24
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71 Failed to find proof!
% 41.31/41.71 maxweight = 24
% 41.31/41.71 maxnrclauses = 10000000
% 41.31/41.71 Generated: 2816529
% 41.31/41.71 Kept: 2081
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 The strategy used was not complete!
% 41.31/41.71
% 41.31/41.71 Increased maxweight to 25
% 41.31/41.71
% 41.31/41.71 Starting Search:
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 Intermediate Status:
% 41.31/41.71 Generated: 43960
% 41.31/41.71 Kept: 2026
% 41.31/41.71 Inuse: 142
% 41.31/41.71 Deleted: 23
% 41.31/41.71 Deletedinuse: 3
% 41.31/41.71
% 41.31/41.71 Resimplifying inuse:
% 41.31/41.71 Done
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 Bliksems!, er is een bewijs:
% 41.31/41.71 % SZS status Unsatisfiable
% 41.31/41.71 % SZS output start Refutation
% 41.31/41.71
% 41.31/41.71 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 41.31/41.71 Z ) ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 41.31/41.71 )
% 41.31/41.71 .
% 41.31/41.71 clause( 2, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X,
% 41.31/41.71 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 3, [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply( w1
% 41.31/41.71 , w1 ) ), apply( b, w1 ) ) ), apply( apply( b, b ), b ) ) ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 4, [ =( apply( apply( w1, X ), w1 ), apply( apply( X, X ), X ) ) ]
% 41.31/41.71 )
% 41.31/41.71 .
% 41.31/41.71 clause( 13, [ ~( =( apply( 'fixed_pt', apply( X, apply( Y, 'fixed_pt' ) ) )
% 41.31/41.71 , apply( X, apply( Y, 'fixed_pt' ) ) ) ), 'fixed_point'( apply( apply( b
% 41.31/41.71 , X ), Y ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 17, [ =( apply( apply( w1, Y ), apply( b, X ) ), apply( X, apply( Y
% 41.31/41.71 , Y ) ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 18, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), apply(
% 41.31/41.71 apply( X, apply( Y, Z ) ), Z ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 25, [ =( apply( apply( apply( w1, Y ), apply( b, apply( b, X ) ) )
% 41.31/41.71 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 26, [ =( apply( apply( apply( apply( w1, X ), apply( b, b ) ), Y )
% 41.31/41.71 , Z ), apply( apply( X, X ), apply( Y, Z ) ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 41, [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply( w1
% 41.31/41.71 , w1 ) ), apply( b, w1 ) ) ), apply( apply( w1, b ), b ) ) ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 287, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) ),
% 41.31/41.71 Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 532, [ ~( 'fixed_point'( apply( apply( b, apply( apply( apply( w1,
% 41.31/41.71 w1 ), apply( b, b ) ), apply( b, w1 ) ) ), apply( apply( w1, b ), b ) ) )
% 41.31/41.71 ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 832, [ =( apply( apply( apply( w1, X ), apply( b, apply( b, Y ) ) )
% 41.31/41.71 , X ), apply( Y, apply( apply( w1, X ), w1 ) ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 835, [ =( apply( Y, apply( apply( w1, X ), w1 ) ), apply( Y, apply(
% 41.31/41.71 apply( w1, X ), X ) ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 885, [ =( apply( Y, apply( apply( X, X ), X ) ), apply( Y, apply(
% 41.31/41.71 apply( w1, X ), X ) ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 942, [ =( apply( X, apply( apply( apply( w1, Y ), Y ), Z ) ), apply(
% 41.31/41.71 X, apply( apply( apply( Y, Y ), Y ), Z ) ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 1077, [ =( apply( apply( apply( apply( w1, w1 ), apply( b, b ) ),
% 41.31/41.71 apply( b, X ) ), Y ), apply( apply( X, apply( Y, w1 ) ), w1 ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 1440, [ =( apply( Y, apply( apply( apply( w1, b ), b ), X ) ),
% 41.31/41.71 apply( Y, apply( b, apply( b, X ) ) ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 1459, [ =( apply( X, apply( apply( apply( apply( w1, b ), b ), Y )
% 41.31/41.71 , Z ) ), apply( X, apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 1550, [ =( apply( apply( w1, Y ), apply( apply( b, apply( b, Z ) )
% 41.31/41.71 , X ) ), apply( Z, apply( apply( w1, Y ), X ) ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 1584, [ =( apply( X, apply( apply( w1, apply( apply( b, apply( b, X
% 41.31/41.71 ) ), Y ) ), Y ) ), apply( apply( w1, apply( apply( b, apply( b, X ) ), Y
% 41.31/41.71 ) ), w1 ) ) ] )
% 41.31/41.71 .
% 41.31/41.71 clause( 2750, [] )
% 41.31/41.71 .
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 % SZS output end Refutation
% 41.31/41.71 found a proof!
% 41.31/41.71
% 41.31/41.71 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 41.31/41.71
% 41.31/41.71 initialclauses(
% 41.31/41.71 [ clause( 2752, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 41.31/41.71 Y, Z ) ) ) ] )
% 41.31/41.71 , clause( 2753, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X )
% 41.31/41.71 ) ] )
% 41.31/41.71 , clause( 2754, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X
% 41.31/41.71 , 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 41.31/41.71 , clause( 2755, [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply(
% 41.31/41.71 w1, w1 ) ), apply( b, w1 ) ) ), apply( apply( b, b ), b ) ) ) ) ] )
% 41.31/41.71 ] ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 41.31/41.71 Z ) ) ) ] )
% 41.31/41.71 , clause( 2752, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 41.31/41.71 Y, Z ) ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 41.31/41.71 permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 41.31/41.71 )
% 41.31/41.71 , clause( 2753, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X )
% 41.31/41.71 ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 41.31/41.71 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2761, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X
% 41.31/41.71 , 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 41.31/41.71 , clause( 2754, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X
% 41.31/41.71 , 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 2, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X,
% 41.31/41.71 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 41.31/41.71 , clause( 2761, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply(
% 41.31/41.71 X, 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 41.31/41.71 1 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 3, [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply( w1
% 41.31/41.71 , w1 ) ), apply( b, w1 ) ) ), apply( apply( b, b ), b ) ) ) ) ] )
% 41.31/41.71 , clause( 2755, [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply(
% 41.31/41.71 w1, w1 ) ), apply( b, w1 ) ) ), apply( apply( b, b ), b ) ) ) ) ] )
% 41.31/41.71 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2765, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) )
% 41.31/41.71 ] )
% 41.31/41.71 , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 41.31/41.71 )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2766, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) )
% 41.31/41.71 ] )
% 41.31/41.71 , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 41.31/41.71 )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2769, [ =( apply( apply( X, X ), X ), apply( apply( w1, X ), w1 ) )
% 41.31/41.71 ] )
% 41.31/41.71 , clause( 2765, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y )
% 41.31/41.71 ) ] )
% 41.31/41.71 , 0, clause( 2766, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y
% 41.31/41.71 ) ) ] )
% 41.31/41.71 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, w1 )] ), substitution( 1, [
% 41.31/41.71 :=( X, X ), :=( Y, X )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2773, [ =( apply( apply( w1, X ), w1 ), apply( apply( X, X ), X ) )
% 41.31/41.71 ] )
% 41.31/41.71 , clause( 2769, [ =( apply( apply( X, X ), X ), apply( apply( w1, X ), w1 )
% 41.31/41.71 ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 4, [ =( apply( apply( w1, X ), w1 ), apply( apply( X, X ), X ) ) ]
% 41.31/41.71 )
% 41.31/41.71 , clause( 2773, [ =( apply( apply( w1, X ), w1 ), apply( apply( X, X ), X )
% 41.31/41.71 ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2775, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X,
% 41.31/41.71 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 41.31/41.71 , clause( 2, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X
% 41.31/41.71 , 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2777, [ ~( =( apply( apply( apply( b, X ), Y ), 'fixed_pt' ), apply(
% 41.31/41.71 'fixed_pt', apply( X, apply( Y, 'fixed_pt' ) ) ) ) ), 'fixed_point'(
% 41.31/41.71 apply( apply( b, X ), Y ) ) ] )
% 41.31/41.71 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 41.31/41.71 , Z ) ) ) ] )
% 41.31/41.71 , 0, clause( 2775, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply(
% 41.31/41.71 X, 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 41.31/41.71 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'fixed_pt' )] )
% 41.31/41.71 , substitution( 1, [ :=( X, apply( apply( b, X ), Y ) )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2778, [ ~( =( apply( X, apply( Y, 'fixed_pt' ) ), apply( 'fixed_pt'
% 41.31/41.71 , apply( X, apply( Y, 'fixed_pt' ) ) ) ) ), 'fixed_point'( apply( apply(
% 41.31/41.71 b, X ), Y ) ) ] )
% 41.31/41.71 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 41.31/41.71 , Z ) ) ) ] )
% 41.31/41.71 , 0, clause( 2777, [ ~( =( apply( apply( apply( b, X ), Y ), 'fixed_pt' ),
% 41.31/41.71 apply( 'fixed_pt', apply( X, apply( Y, 'fixed_pt' ) ) ) ) ),
% 41.31/41.71 'fixed_point'( apply( apply( b, X ), Y ) ) ] )
% 41.31/41.71 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'fixed_pt' )] ),
% 41.31/41.71 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2780, [ ~( =( apply( 'fixed_pt', apply( X, apply( Y, 'fixed_pt' ) )
% 41.31/41.71 ), apply( X, apply( Y, 'fixed_pt' ) ) ) ), 'fixed_point'( apply( apply(
% 41.31/41.71 b, X ), Y ) ) ] )
% 41.31/41.71 , clause( 2778, [ ~( =( apply( X, apply( Y, 'fixed_pt' ) ), apply(
% 41.31/41.71 'fixed_pt', apply( X, apply( Y, 'fixed_pt' ) ) ) ) ), 'fixed_point'(
% 41.31/41.71 apply( apply( b, X ), Y ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 13, [ ~( =( apply( 'fixed_pt', apply( X, apply( Y, 'fixed_pt' ) ) )
% 41.31/41.71 , apply( X, apply( Y, 'fixed_pt' ) ) ) ), 'fixed_point'( apply( apply( b
% 41.31/41.71 , X ), Y ) ) ] )
% 41.31/41.71 , clause( 2780, [ ~( =( apply( 'fixed_pt', apply( X, apply( Y, 'fixed_pt' )
% 41.31/41.71 ) ), apply( X, apply( Y, 'fixed_pt' ) ) ) ), 'fixed_point'( apply( apply(
% 41.31/41.71 b, X ), Y ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 41.31/41.71 ), ==>( 1, 1 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2782, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ),
% 41.31/41.71 Y ), Z ) ) ] )
% 41.31/41.71 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 41.31/41.71 , Z ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2783, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) )
% 41.31/41.71 ] )
% 41.31/41.71 , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 41.31/41.71 )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2786, [ =( apply( X, apply( Y, Y ) ), apply( apply( w1, Y ), apply(
% 41.31/41.71 b, X ) ) ) ] )
% 41.31/41.71 , clause( 2783, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y )
% 41.31/41.71 ) ] )
% 41.31/41.71 , 0, clause( 2782, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b,
% 41.31/41.71 X ), Y ), Z ) ) ] )
% 41.31/41.71 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, apply( b, X ) )] ),
% 41.31/41.71 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2790, [ =( apply( apply( w1, Y ), apply( b, X ) ), apply( X, apply(
% 41.31/41.71 Y, Y ) ) ) ] )
% 41.31/41.71 , clause( 2786, [ =( apply( X, apply( Y, Y ) ), apply( apply( w1, Y ),
% 41.31/41.71 apply( b, X ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 17, [ =( apply( apply( w1, Y ), apply( b, X ) ), apply( X, apply( Y
% 41.31/41.71 , Y ) ) ) ] )
% 41.31/41.71 , clause( 2790, [ =( apply( apply( w1, Y ), apply( b, X ) ), apply( X,
% 41.31/41.71 apply( Y, Y ) ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 41.31/41.71 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2793, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) )
% 41.31/41.71 ] )
% 41.31/41.71 , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 41.31/41.71 )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2807, [ =( apply( apply( X, apply( Y, Z ) ), Z ), apply( apply( w1
% 41.31/41.71 , Z ), apply( apply( b, X ), Y ) ) ) ] )
% 41.31/41.71 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 41.31/41.71 , Z ) ) ) ] )
% 41.31/41.71 , 0, clause( 2793, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y
% 41.31/41.71 ) ) ] )
% 41.31/41.71 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 41.31/41.71 substitution( 1, [ :=( X, Z ), :=( Y, apply( apply( b, X ), Y ) )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2809, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ),
% 41.31/41.71 apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 41.31/41.71 , clause( 2807, [ =( apply( apply( X, apply( Y, Z ) ), Z ), apply( apply(
% 41.31/41.71 w1, Z ), apply( apply( b, X ), Y ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 18, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), apply(
% 41.31/41.71 apply( X, apply( Y, Z ) ), Z ) ) ] )
% 41.31/41.71 , clause( 2809, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ),
% 41.31/41.71 apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 41.31/41.71 permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2810, [ =( apply( Y, apply( X, X ) ), apply( apply( w1, X ), apply(
% 41.31/41.71 b, Y ) ) ) ] )
% 41.31/41.71 , clause( 17, [ =( apply( apply( w1, Y ), apply( b, X ) ), apply( X, apply(
% 41.31/41.71 Y, Y ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2811, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ),
% 41.31/41.71 Y ), Z ) ) ] )
% 41.31/41.71 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 41.31/41.71 , Z ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2815, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 41.31/41.71 apply( w1, Y ), apply( b, apply( b, X ) ) ), Z ) ) ] )
% 41.31/41.71 , clause( 2810, [ =( apply( Y, apply( X, X ) ), apply( apply( w1, X ),
% 41.31/41.71 apply( b, Y ) ) ) ] )
% 41.31/41.71 , 0, clause( 2811, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b,
% 41.31/41.71 X ), Y ), Z ) ) ] )
% 41.31/41.71 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, apply( b, X ) )] ),
% 41.31/41.71 substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Y ) ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2823, [ =( apply( apply( apply( w1, Y ), apply( b, apply( b, X ) )
% 41.31/41.71 ), Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 41.31/41.71 , clause( 2815, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 41.31/41.71 apply( w1, Y ), apply( b, apply( b, X ) ) ), Z ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 25, [ =( apply( apply( apply( w1, Y ), apply( b, apply( b, X ) ) )
% 41.31/41.71 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 41.31/41.71 , clause( 2823, [ =( apply( apply( apply( w1, Y ), apply( b, apply( b, X )
% 41.31/41.71 ) ), Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 41.31/41.71 permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2826, [ =( apply( Y, apply( X, X ) ), apply( apply( w1, X ), apply(
% 41.31/41.71 b, Y ) ) ) ] )
% 41.31/41.71 , clause( 17, [ =( apply( apply( w1, Y ), apply( b, X ) ), apply( X, apply(
% 41.31/41.71 Y, Y ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2827, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ),
% 41.31/41.71 Y ), Z ) ) ] )
% 41.31/41.71 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 41.31/41.71 , Z ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2832, [ =( apply( apply( X, X ), apply( Y, Z ) ), apply( apply(
% 41.31/41.71 apply( apply( w1, X ), apply( b, b ) ), Y ), Z ) ) ] )
% 41.31/41.71 , clause( 2826, [ =( apply( Y, apply( X, X ) ), apply( apply( w1, X ),
% 41.31/41.71 apply( b, Y ) ) ) ] )
% 41.31/41.71 , 0, clause( 2827, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b,
% 41.31/41.71 X ), Y ), Z ) ) ] )
% 41.31/41.71 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, b )] ), substitution( 1, [
% 41.31/41.71 :=( X, apply( X, X ) ), :=( Y, Y ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2841, [ =( apply( apply( apply( apply( w1, X ), apply( b, b ) ), Y
% 41.31/41.71 ), Z ), apply( apply( X, X ), apply( Y, Z ) ) ) ] )
% 41.31/41.71 , clause( 2832, [ =( apply( apply( X, X ), apply( Y, Z ) ), apply( apply(
% 41.31/41.71 apply( apply( w1, X ), apply( b, b ) ), Y ), Z ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 26, [ =( apply( apply( apply( apply( w1, X ), apply( b, b ) ), Y )
% 41.31/41.71 , Z ), apply( apply( X, X ), apply( Y, Z ) ) ) ] )
% 41.31/41.71 , clause( 2841, [ =( apply( apply( apply( apply( w1, X ), apply( b, b ) ),
% 41.31/41.71 Y ), Z ), apply( apply( X, X ), apply( Y, Z ) ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 41.31/41.71 permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2842, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) )
% 41.31/41.71 ] )
% 41.31/41.71 , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 41.31/41.71 )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2843, [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply(
% 41.31/41.71 w1, w1 ) ), apply( b, w1 ) ) ), apply( apply( w1, b ), b ) ) ) ) ] )
% 41.31/41.71 , clause( 2842, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y )
% 41.31/41.71 ) ] )
% 41.31/41.71 , 0, clause( 3, [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply(
% 41.31/41.71 w1, w1 ) ), apply( b, w1 ) ) ), apply( apply( b, b ), b ) ) ) ) ] )
% 41.31/41.71 , 0, 14, substitution( 0, [ :=( X, b ), :=( Y, b )] ), substitution( 1, [] )
% 41.31/41.71 ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 41, [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply( w1
% 41.31/41.71 , w1 ) ), apply( b, w1 ) ) ), apply( apply( w1, b ), b ) ) ) ) ] )
% 41.31/41.71 , clause( 2843, [ ~( 'fixed_point'( apply( apply( b, apply( apply( b, apply(
% 41.31/41.71 w1, w1 ) ), apply( b, w1 ) ) ), apply( apply( w1, b ), b ) ) ) ) ] )
% 41.31/41.71 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2845, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1
% 41.31/41.71 , X ), apply( apply( b, Y ), Z ) ) ) ] )
% 41.31/41.71 , clause( 18, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ),
% 41.31/41.71 apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2846, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ),
% 41.31/41.71 Y ), Z ) ) ] )
% 41.31/41.71 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 41.31/41.71 , Z ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2849, [ =( apply( X, apply( apply( Y, Z ), Z ) ), apply( apply( w1
% 41.31/41.71 , Z ), apply( apply( b, apply( b, X ) ), Y ) ) ) ] )
% 41.31/41.71 , clause( 2845, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply(
% 41.31/41.71 w1, X ), apply( apply( b, Y ), Z ) ) ) ] )
% 41.31/41.71 , 0, clause( 2846, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b,
% 41.31/41.71 X ), Y ), Z ) ) ] )
% 41.31/41.71 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, apply( b, X ) ), :=( Z, Y )] )
% 41.31/41.71 , substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Z ) ), :=( Z, Z )] )
% 41.31/41.71 ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2853, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) )
% 41.31/41.71 , Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 41.31/41.71 , clause( 2849, [ =( apply( X, apply( apply( Y, Z ), Z ) ), apply( apply(
% 41.31/41.71 w1, Z ), apply( apply( b, apply( b, X ) ), Y ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 287, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) ),
% 41.31/41.71 Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 41.31/41.71 , clause( 2853, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X )
% 41.31/41.71 ), Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 41.31/41.71 permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2855, [ =( apply( Y, apply( X, X ) ), apply( apply( w1, X ), apply(
% 41.31/41.71 b, Y ) ) ) ] )
% 41.31/41.71 , clause( 17, [ =( apply( apply( w1, Y ), apply( b, X ) ), apply( X, apply(
% 41.31/41.71 Y, Y ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2856, [ ~( 'fixed_point'( apply( apply( b, apply( apply( apply( w1
% 41.31/41.71 , w1 ), apply( b, b ) ), apply( b, w1 ) ) ), apply( apply( w1, b ), b ) )
% 41.31/41.71 ) ) ] )
% 41.31/41.71 , clause( 2855, [ =( apply( Y, apply( X, X ) ), apply( apply( w1, X ),
% 41.31/41.71 apply( b, Y ) ) ) ] )
% 41.31/41.71 , 0, clause( 41, [ ~( 'fixed_point'( apply( apply( b, apply( apply( b,
% 41.31/41.71 apply( w1, w1 ) ), apply( b, w1 ) ) ), apply( apply( w1, b ), b ) ) ) ) ]
% 41.31/41.71 )
% 41.31/41.71 , 0, 6, substitution( 0, [ :=( X, w1 ), :=( Y, b )] ), substitution( 1, [] )
% 41.31/41.71 ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 532, [ ~( 'fixed_point'( apply( apply( b, apply( apply( apply( w1,
% 41.31/41.71 w1 ), apply( b, b ) ), apply( b, w1 ) ) ), apply( apply( w1, b ), b ) ) )
% 41.31/41.71 ) ] )
% 41.31/41.71 , clause( 2856, [ ~( 'fixed_point'( apply( apply( b, apply( apply( apply(
% 41.31/41.71 w1, w1 ), apply( b, b ) ), apply( b, w1 ) ) ), apply( apply( w1, b ), b )
% 41.31/41.71 ) ) ) ] )
% 41.31/41.71 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2867, [ =( apply( apply( X, X ), X ), apply( apply( w1, X ), w1 ) )
% 41.31/41.71 ] )
% 41.31/41.71 , clause( 4, [ =( apply( apply( w1, X ), w1 ), apply( apply( X, X ), X ) )
% 41.31/41.71 ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2868, [ =( apply( Y, apply( apply( X, X ), Z ) ), apply( apply(
% 41.31/41.71 apply( w1, X ), apply( b, apply( b, Y ) ) ), Z ) ) ] )
% 41.31/41.71 , clause( 25, [ =( apply( apply( apply( w1, Y ), apply( b, apply( b, X ) )
% 41.31/41.71 ), Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2870, [ =( apply( X, apply( apply( w1, Y ), w1 ) ), apply( apply(
% 41.31/41.71 apply( w1, Y ), apply( b, apply( b, X ) ) ), Y ) ) ] )
% 41.31/41.71 , clause( 2867, [ =( apply( apply( X, X ), X ), apply( apply( w1, X ), w1 )
% 41.31/41.71 ) ] )
% 41.31/41.71 , 0, clause( 2868, [ =( apply( Y, apply( apply( X, X ), Z ) ), apply( apply(
% 41.31/41.71 apply( w1, X ), apply( b, apply( b, Y ) ) ), Z ) ) ] )
% 41.31/41.71 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 41.31/41.71 :=( Y, X ), :=( Z, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2872, [ =( apply( apply( apply( w1, Y ), apply( b, apply( b, X ) )
% 41.31/41.71 ), Y ), apply( X, apply( apply( w1, Y ), w1 ) ) ) ] )
% 41.31/41.71 , clause( 2870, [ =( apply( X, apply( apply( w1, Y ), w1 ) ), apply( apply(
% 41.31/41.71 apply( w1, Y ), apply( b, apply( b, X ) ) ), Y ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 832, [ =( apply( apply( apply( w1, X ), apply( b, apply( b, Y ) ) )
% 41.31/41.71 , X ), apply( Y, apply( apply( w1, X ), w1 ) ) ) ] )
% 41.31/41.71 , clause( 2872, [ =( apply( apply( apply( w1, Y ), apply( b, apply( b, X )
% 41.31/41.71 ) ), Y ), apply( X, apply( apply( w1, Y ), w1 ) ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 41.31/41.71 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2873, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) )
% 41.31/41.71 ] )
% 41.31/41.71 , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 41.31/41.71 )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2874, [ =( apply( Y, apply( apply( X, X ), Z ) ), apply( apply(
% 41.31/41.71 apply( w1, X ), apply( b, apply( b, Y ) ) ), Z ) ) ] )
% 41.31/41.71 , clause( 25, [ =( apply( apply( apply( w1, Y ), apply( b, apply( b, X ) )
% 41.31/41.71 ), Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2877, [ =( apply( X, apply( apply( w1, Y ), Y ) ), apply( apply(
% 41.31/41.71 apply( w1, Y ), apply( b, apply( b, X ) ) ), Y ) ) ] )
% 41.31/41.71 , clause( 2873, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y )
% 41.31/41.71 ) ] )
% 41.31/41.71 , 0, clause( 2874, [ =( apply( Y, apply( apply( X, X ), Z ) ), apply( apply(
% 41.31/41.71 apply( w1, X ), apply( b, apply( b, Y ) ) ), Z ) ) ] )
% 41.31/41.71 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Y )] ), substitution( 1, [
% 41.31/41.71 :=( X, Y ), :=( Y, X ), :=( Z, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2881, [ =( apply( X, apply( apply( w1, Y ), Y ) ), apply( X, apply(
% 41.31/41.71 apply( w1, Y ), w1 ) ) ) ] )
% 41.31/41.71 , clause( 832, [ =( apply( apply( apply( w1, X ), apply( b, apply( b, Y ) )
% 41.31/41.71 ), X ), apply( Y, apply( apply( w1, X ), w1 ) ) ) ] )
% 41.31/41.71 , 0, clause( 2877, [ =( apply( X, apply( apply( w1, Y ), Y ) ), apply(
% 41.31/41.71 apply( apply( w1, Y ), apply( b, apply( b, X ) ) ), Y ) ) ] )
% 41.31/41.71 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 41.31/41.71 :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2882, [ =( apply( X, apply( apply( w1, Y ), w1 ) ), apply( X, apply(
% 41.31/41.71 apply( w1, Y ), Y ) ) ) ] )
% 41.31/41.71 , clause( 2881, [ =( apply( X, apply( apply( w1, Y ), Y ) ), apply( X,
% 41.31/41.71 apply( apply( w1, Y ), w1 ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 835, [ =( apply( Y, apply( apply( w1, X ), w1 ) ), apply( Y, apply(
% 41.31/41.71 apply( w1, X ), X ) ) ) ] )
% 41.31/41.71 , clause( 2882, [ =( apply( X, apply( apply( w1, Y ), w1 ) ), apply( X,
% 41.31/41.71 apply( apply( w1, Y ), Y ) ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 41.31/41.71 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2884, [ =( apply( X, apply( apply( w1, Y ), Y ) ), apply( X, apply(
% 41.31/41.71 apply( w1, Y ), w1 ) ) ) ] )
% 41.31/41.71 , clause( 835, [ =( apply( Y, apply( apply( w1, X ), w1 ) ), apply( Y,
% 41.31/41.71 apply( apply( w1, X ), X ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2924, [ =( apply( X, apply( apply( w1, Y ), Y ) ), apply( X, apply(
% 41.31/41.71 apply( Y, Y ), Y ) ) ) ] )
% 41.31/41.71 , clause( 4, [ =( apply( apply( w1, X ), w1 ), apply( apply( X, X ), X ) )
% 41.31/41.71 ] )
% 41.31/41.71 , 0, clause( 2884, [ =( apply( X, apply( apply( w1, Y ), Y ) ), apply( X,
% 41.31/41.71 apply( apply( w1, Y ), w1 ) ) ) ] )
% 41.31/41.71 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 41.31/41.71 :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2925, [ =( apply( X, apply( apply( Y, Y ), Y ) ), apply( X, apply(
% 41.31/41.71 apply( w1, Y ), Y ) ) ) ] )
% 41.31/41.71 , clause( 2924, [ =( apply( X, apply( apply( w1, Y ), Y ) ), apply( X,
% 41.31/41.71 apply( apply( Y, Y ), Y ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 885, [ =( apply( Y, apply( apply( X, X ), X ) ), apply( Y, apply(
% 41.31/41.71 apply( w1, X ), X ) ) ) ] )
% 41.31/41.71 , clause( 2925, [ =( apply( X, apply( apply( Y, Y ), Y ) ), apply( X, apply(
% 41.31/41.71 apply( w1, Y ), Y ) ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 41.31/41.71 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2926, [ =( apply( X, apply( apply( w1, Y ), Y ) ), apply( X, apply(
% 41.31/41.71 apply( Y, Y ), Y ) ) ) ] )
% 41.31/41.71 , clause( 885, [ =( apply( Y, apply( apply( X, X ), X ) ), apply( Y, apply(
% 41.31/41.71 apply( w1, X ), X ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2927, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ),
% 41.31/41.71 Y ), Z ) ) ] )
% 41.31/41.71 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 41.31/41.71 , Z ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2932, [ =( apply( X, apply( apply( apply( w1, Y ), Y ), Z ) ),
% 41.31/41.71 apply( apply( apply( b, X ), apply( apply( Y, Y ), Y ) ), Z ) ) ] )
% 41.31/41.71 , clause( 2926, [ =( apply( X, apply( apply( w1, Y ), Y ) ), apply( X,
% 41.31/41.71 apply( apply( Y, Y ), Y ) ) ) ] )
% 41.31/41.71 , 0, clause( 2927, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b,
% 41.31/41.71 X ), Y ), Z ) ) ] )
% 41.31/41.71 , 0, 11, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 41.31/41.71 substitution( 1, [ :=( X, X ), :=( Y, apply( apply( w1, Y ), Y ) ), :=( Z
% 41.31/41.71 , Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2937, [ =( apply( X, apply( apply( apply( w1, Y ), Y ), Z ) ),
% 41.31/41.71 apply( X, apply( apply( apply( Y, Y ), Y ), Z ) ) ) ] )
% 41.31/41.71 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 41.31/41.71 , Z ) ) ) ] )
% 41.31/41.71 , 0, clause( 2932, [ =( apply( X, apply( apply( apply( w1, Y ), Y ), Z ) )
% 41.31/41.71 , apply( apply( apply( b, X ), apply( apply( Y, Y ), Y ) ), Z ) ) ] )
% 41.31/41.71 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, apply( apply( Y, Y ), Y ) )
% 41.31/41.71 , :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 41.31/41.71 ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 942, [ =( apply( X, apply( apply( apply( w1, Y ), Y ), Z ) ), apply(
% 41.31/41.71 X, apply( apply( apply( Y, Y ), Y ), Z ) ) ) ] )
% 41.31/41.71 , clause( 2937, [ =( apply( X, apply( apply( apply( w1, Y ), Y ), Z ) ),
% 41.31/41.71 apply( X, apply( apply( apply( Y, Y ), Y ), Z ) ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 41.31/41.71 permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2939, [ =( apply( apply( X, X ), apply( Y, Z ) ), apply( apply(
% 41.31/41.71 apply( apply( w1, X ), apply( b, b ) ), Y ), Z ) ) ] )
% 41.31/41.71 , clause( 26, [ =( apply( apply( apply( apply( w1, X ), apply( b, b ) ), Y
% 41.31/41.71 ), Z ), apply( apply( X, X ), apply( Y, Z ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2940, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1
% 41.31/41.71 , X ), apply( apply( b, Y ), Z ) ) ) ] )
% 41.31/41.71 , clause( 18, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ),
% 41.31/41.71 apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2944, [ =( apply( apply( X, apply( Y, w1 ) ), w1 ), apply( apply(
% 41.31/41.71 apply( apply( w1, w1 ), apply( b, b ) ), apply( b, X ) ), Y ) ) ] )
% 41.31/41.71 , clause( 2939, [ =( apply( apply( X, X ), apply( Y, Z ) ), apply( apply(
% 41.31/41.71 apply( apply( w1, X ), apply( b, b ) ), Y ), Z ) ) ] )
% 41.31/41.71 , 0, clause( 2940, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply(
% 41.31/41.71 w1, X ), apply( apply( b, Y ), Z ) ) ) ] )
% 41.31/41.71 , 0, 8, substitution( 0, [ :=( X, w1 ), :=( Y, apply( b, X ) ), :=( Z, Y )] )
% 41.31/41.71 , substitution( 1, [ :=( X, w1 ), :=( Y, X ), :=( Z, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2967, [ =( apply( apply( apply( apply( w1, w1 ), apply( b, b ) ),
% 41.31/41.71 apply( b, X ) ), Y ), apply( apply( X, apply( Y, w1 ) ), w1 ) ) ] )
% 41.31/41.71 , clause( 2944, [ =( apply( apply( X, apply( Y, w1 ) ), w1 ), apply( apply(
% 41.31/41.71 apply( apply( w1, w1 ), apply( b, b ) ), apply( b, X ) ), Y ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 1077, [ =( apply( apply( apply( apply( w1, w1 ), apply( b, b ) ),
% 41.31/41.71 apply( b, X ) ), Y ), apply( apply( X, apply( Y, w1 ) ), w1 ) ) ] )
% 41.31/41.71 , clause( 2967, [ =( apply( apply( apply( apply( w1, w1 ), apply( b, b ) )
% 41.31/41.71 , apply( b, X ) ), Y ), apply( apply( X, apply( Y, w1 ) ), w1 ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 41.31/41.71 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 2970, [ =( apply( X, apply( apply( apply( Y, Y ), Y ), Z ) ), apply(
% 41.31/41.71 X, apply( apply( apply( w1, Y ), Y ), Z ) ) ) ] )
% 41.31/41.71 , clause( 942, [ =( apply( X, apply( apply( apply( w1, Y ), Y ), Z ) ),
% 41.31/41.71 apply( X, apply( apply( apply( Y, Y ), Y ), Z ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 2996, [ =( apply( X, apply( b, apply( b, Y ) ) ), apply( X, apply(
% 41.31/41.71 apply( apply( w1, b ), b ), Y ) ) ) ] )
% 41.31/41.71 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 41.31/41.71 , Z ) ) ) ] )
% 41.31/41.71 , 0, clause( 2970, [ =( apply( X, apply( apply( apply( Y, Y ), Y ), Z ) ),
% 41.31/41.71 apply( X, apply( apply( apply( w1, Y ), Y ), Z ) ) ) ] )
% 41.31/41.71 , 0, 3, substitution( 0, [ :=( X, b ), :=( Y, b ), :=( Z, Y )] ),
% 41.31/41.71 substitution( 1, [ :=( X, X ), :=( Y, b ), :=( Z, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 3002, [ =( apply( X, apply( apply( apply( w1, b ), b ), Y ) ),
% 41.31/41.71 apply( X, apply( b, apply( b, Y ) ) ) ) ] )
% 41.31/41.71 , clause( 2996, [ =( apply( X, apply( b, apply( b, Y ) ) ), apply( X, apply(
% 41.31/41.71 apply( apply( w1, b ), b ), Y ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 1440, [ =( apply( Y, apply( apply( apply( w1, b ), b ), X ) ),
% 41.31/41.71 apply( Y, apply( b, apply( b, X ) ) ) ) ] )
% 41.31/41.71 , clause( 3002, [ =( apply( X, apply( apply( apply( w1, b ), b ), Y ) ),
% 41.31/41.71 apply( X, apply( b, apply( b, Y ) ) ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 41.31/41.71 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 3008, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ),
% 41.31/41.71 Y ), Z ) ) ] )
% 41.31/41.71 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 41.31/41.71 , Z ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 3020, [ =( apply( X, apply( apply( apply( apply( w1, b ), b ), Y )
% 41.31/41.71 , Z ) ), apply( apply( apply( b, X ), apply( b, apply( b, Y ) ) ), Z ) )
% 41.31/41.71 ] )
% 41.31/41.71 , clause( 1440, [ =( apply( Y, apply( apply( apply( w1, b ), b ), X ) ),
% 41.31/41.71 apply( Y, apply( b, apply( b, X ) ) ) ) ] )
% 41.31/41.71 , 0, clause( 3008, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b,
% 41.31/41.71 X ), Y ), Z ) ) ] )
% 41.31/41.71 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, apply( b, X ) )] ),
% 41.31/41.71 substitution( 1, [ :=( X, X ), :=( Y, apply( apply( apply( w1, b ), b ),
% 41.31/41.71 Y ) ), :=( Z, Z )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 3025, [ =( apply( X, apply( apply( apply( apply( w1, b ), b ), Y )
% 41.31/41.71 , Z ) ), apply( X, apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 41.31/41.71 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 41.31/41.71 , Z ) ) ) ] )
% 41.31/41.71 , 0, clause( 3020, [ =( apply( X, apply( apply( apply( apply( w1, b ), b )
% 41.31/41.71 , Y ), Z ) ), apply( apply( apply( b, X ), apply( b, apply( b, Y ) ) ), Z
% 41.31/41.71 ) ) ] )
% 41.31/41.71 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, apply( b, apply( b, Y ) ) )
% 41.31/41.71 , :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 41.31/41.71 ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 1459, [ =( apply( X, apply( apply( apply( apply( w1, b ), b ), Y )
% 41.31/41.71 , Z ) ), apply( X, apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 41.31/41.71 , clause( 3025, [ =( apply( X, apply( apply( apply( apply( w1, b ), b ), Y
% 41.31/41.71 ), Z ) ), apply( X, apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 41.31/41.71 permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 3027, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) )
% 41.31/41.71 ] )
% 41.31/41.71 , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 41.31/41.71 )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 3028, [ =( apply( Y, apply( apply( Z, X ), X ) ), apply( apply( w1
% 41.31/41.71 , X ), apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 41.31/41.71 , clause( 287, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) )
% 41.31/41.71 , Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 3030, [ =( apply( X, apply( apply( w1, Z ), Y ) ), apply( apply( w1
% 41.31/41.71 , Z ), apply( apply( b, apply( b, X ) ), Y ) ) ) ] )
% 41.31/41.71 , clause( 3027, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y )
% 41.31/41.71 ) ] )
% 41.31/41.71 , 0, clause( 3028, [ =( apply( Y, apply( apply( Z, X ), X ) ), apply( apply(
% 41.31/41.71 w1, X ), apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 41.31/41.71 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 41.31/41.71 :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 3043, [ =( apply( apply( w1, Y ), apply( apply( b, apply( b, X ) )
% 41.31/41.71 , Z ) ), apply( X, apply( apply( w1, Y ), Z ) ) ) ] )
% 41.31/41.71 , clause( 3030, [ =( apply( X, apply( apply( w1, Z ), Y ) ), apply( apply(
% 41.31/41.71 w1, Z ), apply( apply( b, apply( b, X ) ), Y ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 1550, [ =( apply( apply( w1, Y ), apply( apply( b, apply( b, Z ) )
% 41.31/41.71 , X ) ), apply( Z, apply( apply( w1, Y ), X ) ) ) ] )
% 41.31/41.71 , clause( 3043, [ =( apply( apply( w1, Y ), apply( apply( b, apply( b, X )
% 41.31/41.71 ), Z ) ), apply( X, apply( apply( w1, Y ), Z ) ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 41.31/41.71 permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 3049, [ =( apply( Y, apply( apply( w1, X ), Z ) ), apply( apply( w1
% 41.31/41.71 , X ), apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 41.31/41.71 , clause( 1550, [ =( apply( apply( w1, Y ), apply( apply( b, apply( b, Z )
% 41.31/41.71 ), X ) ), apply( Z, apply( apply( w1, Y ), X ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 3050, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) )
% 41.31/41.71 ] )
% 41.31/41.71 , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 41.31/41.71 )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 3053, [ =( apply( X, apply( apply( w1, apply( apply( b, apply( b, X
% 41.31/41.71 ) ), Y ) ), Y ) ), apply( apply( w1, apply( apply( b, apply( b, X ) ), Y
% 41.31/41.71 ) ), w1 ) ) ] )
% 41.31/41.71 , clause( 3050, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y )
% 41.31/41.71 ) ] )
% 41.31/41.71 , 0, clause( 3049, [ =( apply( Y, apply( apply( w1, X ), Z ) ), apply(
% 41.31/41.71 apply( w1, X ), apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 41.31/41.71 , 0, 14, substitution( 0, [ :=( X, apply( apply( b, apply( b, X ) ), Y ) )
% 41.31/41.71 , :=( Y, w1 )] ), substitution( 1, [ :=( X, apply( apply( b, apply( b, X
% 41.31/41.71 ) ), Y ) ), :=( Y, X ), :=( Z, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 1584, [ =( apply( X, apply( apply( w1, apply( apply( b, apply( b, X
% 41.31/41.71 ) ), Y ) ), Y ) ), apply( apply( w1, apply( apply( b, apply( b, X ) ), Y
% 41.31/41.71 ) ), w1 ) ) ] )
% 41.31/41.71 , clause( 3053, [ =( apply( X, apply( apply( w1, apply( apply( b, apply( b
% 41.31/41.71 , X ) ), Y ) ), Y ) ), apply( apply( w1, apply( apply( b, apply( b, X ) )
% 41.31/41.71 , Y ) ), w1 ) ) ] )
% 41.31/41.71 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 41.31/41.71 )] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqswap(
% 41.31/41.71 clause( 3059, [ ~( =( apply( X, apply( Y, 'fixed_pt' ) ), apply( 'fixed_pt'
% 41.31/41.71 , apply( X, apply( Y, 'fixed_pt' ) ) ) ) ), 'fixed_point'( apply( apply(
% 41.31/41.71 b, X ), Y ) ) ] )
% 41.31/41.71 , clause( 13, [ ~( =( apply( 'fixed_pt', apply( X, apply( Y, 'fixed_pt' ) )
% 41.31/41.71 ), apply( X, apply( Y, 'fixed_pt' ) ) ) ), 'fixed_point'( apply( apply(
% 41.31/41.71 b, X ), Y ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 resolution(
% 41.31/41.71 clause( 3063, [ ~( =( apply( apply( apply( apply( w1, w1 ), apply( b, b ) )
% 41.31/41.71 , apply( b, w1 ) ), apply( apply( apply( w1, b ), b ), 'fixed_pt' ) ),
% 41.31/41.71 apply( 'fixed_pt', apply( apply( apply( apply( w1, w1 ), apply( b, b ) )
% 41.31/41.71 , apply( b, w1 ) ), apply( apply( apply( w1, b ), b ), 'fixed_pt' ) ) ) )
% 41.31/41.71 ) ] )
% 41.31/41.71 , clause( 532, [ ~( 'fixed_point'( apply( apply( b, apply( apply( apply( w1
% 41.31/41.71 , w1 ), apply( b, b ) ), apply( b, w1 ) ) ), apply( apply( w1, b ), b ) )
% 41.31/41.71 ) ) ] )
% 41.31/41.71 , 0, clause( 3059, [ ~( =( apply( X, apply( Y, 'fixed_pt' ) ), apply(
% 41.31/41.71 'fixed_pt', apply( X, apply( Y, 'fixed_pt' ) ) ) ) ), 'fixed_point'(
% 41.31/41.71 apply( apply( b, X ), Y ) ) ] )
% 41.31/41.71 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, apply( apply( apply(
% 41.31/41.71 w1, w1 ), apply( b, b ) ), apply( b, w1 ) ) ), :=( Y, apply( apply( w1, b
% 41.31/41.71 ), b ) )] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 3065, [ ~( =( apply( apply( apply( apply( w1, w1 ), apply( b, b ) )
% 41.31/41.71 , apply( b, w1 ) ), apply( apply( apply( w1, b ), b ), 'fixed_pt' ) ),
% 41.31/41.71 apply( 'fixed_pt', apply( apply( w1, apply( apply( apply( apply( w1, b )
% 41.31/41.71 , b ), 'fixed_pt' ), w1 ) ), w1 ) ) ) ) ] )
% 41.31/41.71 , clause( 1077, [ =( apply( apply( apply( apply( w1, w1 ), apply( b, b ) )
% 41.31/41.71 , apply( b, X ) ), Y ), apply( apply( X, apply( Y, w1 ) ), w1 ) ) ] )
% 41.31/41.71 , 0, clause( 3063, [ ~( =( apply( apply( apply( apply( w1, w1 ), apply( b,
% 41.31/41.71 b ) ), apply( b, w1 ) ), apply( apply( apply( w1, b ), b ), 'fixed_pt' )
% 41.31/41.71 ), apply( 'fixed_pt', apply( apply( apply( apply( w1, w1 ), apply( b, b
% 41.31/41.71 ) ), apply( b, w1 ) ), apply( apply( apply( w1, b ), b ), 'fixed_pt' ) )
% 41.31/41.71 ) ) ) ] )
% 41.31/41.71 , 0, 23, substitution( 0, [ :=( X, w1 ), :=( Y, apply( apply( apply( w1, b
% 41.31/41.71 ), b ), 'fixed_pt' ) )] ), substitution( 1, [] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 3066, [ ~( =( apply( apply( w1, apply( apply( apply( apply( w1, b )
% 41.31/41.71 , b ), 'fixed_pt' ), w1 ) ), w1 ), apply( 'fixed_pt', apply( apply( w1,
% 41.31/41.71 apply( apply( apply( apply( w1, b ), b ), 'fixed_pt' ), w1 ) ), w1 ) ) )
% 41.31/41.71 ) ] )
% 41.31/41.71 , clause( 1077, [ =( apply( apply( apply( apply( w1, w1 ), apply( b, b ) )
% 41.31/41.71 , apply( b, X ) ), Y ), apply( apply( X, apply( Y, w1 ) ), w1 ) ) ] )
% 41.31/41.71 , 0, clause( 3065, [ ~( =( apply( apply( apply( apply( w1, w1 ), apply( b,
% 41.31/41.71 b ) ), apply( b, w1 ) ), apply( apply( apply( w1, b ), b ), 'fixed_pt' )
% 41.31/41.71 ), apply( 'fixed_pt', apply( apply( w1, apply( apply( apply( apply( w1,
% 41.31/41.71 b ), b ), 'fixed_pt' ), w1 ) ), w1 ) ) ) ) ] )
% 41.31/41.71 , 0, 2, substitution( 0, [ :=( X, w1 ), :=( Y, apply( apply( apply( w1, b )
% 41.31/41.71 , b ), 'fixed_pt' ) )] ), substitution( 1, [] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 3070, [ ~( =( apply( apply( w1, apply( apply( apply( apply( w1, b )
% 41.31/41.71 , b ), 'fixed_pt' ), w1 ) ), w1 ), apply( 'fixed_pt', apply( apply( w1,
% 41.31/41.71 apply( apply( b, apply( b, 'fixed_pt' ) ), w1 ) ), w1 ) ) ) ) ] )
% 41.31/41.71 , clause( 1459, [ =( apply( X, apply( apply( apply( apply( w1, b ), b ), Y
% 41.31/41.71 ), Z ) ), apply( X, apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 41.31/41.71 , 0, clause( 3066, [ ~( =( apply( apply( w1, apply( apply( apply( apply( w1
% 41.31/41.71 , b ), b ), 'fixed_pt' ), w1 ) ), w1 ), apply( 'fixed_pt', apply( apply(
% 41.31/41.71 w1, apply( apply( apply( apply( w1, b ), b ), 'fixed_pt' ), w1 ) ), w1 )
% 41.31/41.71 ) ) ) ] )
% 41.31/41.71 , 0, 18, substitution( 0, [ :=( X, w1 ), :=( Y, 'fixed_pt' ), :=( Z, w1 )] )
% 41.31/41.71 , substitution( 1, [] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 3071, [ ~( =( apply( apply( w1, apply( apply( b, apply( b,
% 41.31/41.71 'fixed_pt' ) ), w1 ) ), w1 ), apply( 'fixed_pt', apply( apply( w1, apply(
% 41.31/41.71 apply( b, apply( b, 'fixed_pt' ) ), w1 ) ), w1 ) ) ) ) ] )
% 41.31/41.71 , clause( 1459, [ =( apply( X, apply( apply( apply( apply( w1, b ), b ), Y
% 41.31/41.71 ), Z ) ), apply( X, apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 41.31/41.71 , 0, clause( 3070, [ ~( =( apply( apply( w1, apply( apply( apply( apply( w1
% 41.31/41.71 , b ), b ), 'fixed_pt' ), w1 ) ), w1 ), apply( 'fixed_pt', apply( apply(
% 41.31/41.71 w1, apply( apply( b, apply( b, 'fixed_pt' ) ), w1 ) ), w1 ) ) ) ) ] )
% 41.31/41.71 , 0, 3, substitution( 0, [ :=( X, w1 ), :=( Y, 'fixed_pt' ), :=( Z, w1 )] )
% 41.31/41.71 , substitution( 1, [] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 paramod(
% 41.31/41.71 clause( 3073, [ ~( =( apply( apply( w1, apply( apply( b, apply( b,
% 41.31/41.71 'fixed_pt' ) ), w1 ) ), w1 ), apply( apply( w1, apply( apply( b, apply( b
% 41.31/41.71 , 'fixed_pt' ) ), w1 ) ), w1 ) ) ) ] )
% 41.31/41.71 , clause( 1584, [ =( apply( X, apply( apply( w1, apply( apply( b, apply( b
% 41.31/41.71 , X ) ), Y ) ), Y ) ), apply( apply( w1, apply( apply( b, apply( b, X ) )
% 41.31/41.71 , Y ) ), w1 ) ) ] )
% 41.31/41.71 , 0, clause( 3071, [ ~( =( apply( apply( w1, apply( apply( b, apply( b,
% 41.31/41.71 'fixed_pt' ) ), w1 ) ), w1 ), apply( 'fixed_pt', apply( apply( w1, apply(
% 41.31/41.71 apply( b, apply( b, 'fixed_pt' ) ), w1 ) ), w1 ) ) ) ) ] )
% 41.31/41.71 , 0, 13, substitution( 0, [ :=( X, 'fixed_pt' ), :=( Y, w1 )] ),
% 41.31/41.71 substitution( 1, [] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 eqrefl(
% 41.31/41.71 clause( 3074, [] )
% 41.31/41.71 , clause( 3073, [ ~( =( apply( apply( w1, apply( apply( b, apply( b,
% 41.31/41.71 'fixed_pt' ) ), w1 ) ), w1 ), apply( apply( w1, apply( apply( b, apply( b
% 41.31/41.71 , 'fixed_pt' ) ), w1 ) ), w1 ) ) ) ] )
% 41.31/41.71 , 0, substitution( 0, [] )).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 subsumption(
% 41.31/41.71 clause( 2750, [] )
% 41.31/41.71 , clause( 3074, [] )
% 41.31/41.71 , substitution( 0, [] ), permutation( 0, [] ) ).
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 end.
% 41.31/41.71
% 41.31/41.71 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 41.31/41.71
% 41.31/41.71 Memory use:
% 41.31/41.71
% 41.31/41.71 space for terms: 63855
% 41.31/41.71 space for clauses: 397497
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 clauses generated: 96776
% 41.31/41.71 clauses kept: 2751
% 41.31/41.71 clauses selected: 239
% 41.31/41.71 clauses deleted: 108
% 41.31/41.71 clauses inuse deleted: 30
% 41.31/41.71
% 41.31/41.71 subsentry: 13868
% 41.31/41.71 literals s-matched: 11923
% 41.31/41.71 literals matched: 11847
% 41.31/41.71 full subsumption: 0
% 41.31/41.71
% 41.31/41.71 checksum: -1541688335
% 41.31/41.71
% 41.31/41.71
% 41.31/41.71 Bliksem ended
%------------------------------------------------------------------------------