TSTP Solution File: COL002-10 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL002-10 : TPTP v8.1.0. Released v7.5.0.
% 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 00:12:18 EDT 2022
% Result : Unsatisfiable 8.87s 9.26s
% Output : Refutation 8.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : COL002-10 : TPTP v8.1.0. Released v7.5.0.
% 0.02/0.10 % Command : bliksem %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % DateTime : Tue May 31 08:04:43 EDT 2022
% 0.08/0.28 % CPUTime :
% 8.87/9.26 *** allocated 10000 integers for termspace/termends
% 8.87/9.26 *** allocated 10000 integers for clauses
% 8.87/9.26 *** allocated 10000 integers for justifications
% 8.87/9.26 Bliksem 1.12
% 8.87/9.26
% 8.87/9.26
% 8.87/9.26 Automatic Strategy Selection
% 8.87/9.26
% 8.87/9.26 Clauses:
% 8.87/9.26 [
% 8.87/9.26 [ =( ifeq( X, X, Y, Z ), Y ) ],
% 8.87/9.26 [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z ), apply(
% 8.87/9.26 Y, Z ) ) ) ],
% 8.87/9.26 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 8.87/9.26 ],
% 8.87/9.26 [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X, Z ), Y ) )
% 8.87/9.26 ],
% 8.87/9.26 [ =( apply( i, X ), X ) ],
% 8.87/9.26 [ =( ifeq( X, apply( 'fixed_pt', X ), 'fixed_point'( X ), true ), true )
% 8.87/9.26 ],
% 8.87/9.26 [ ~( =( 'fixed_point'( apply( apply( apply( s, apply( b, X ) ), i ),
% 8.87/9.26 apply( apply( s, apply( b, X ) ), i ) ) ), true ) ) ]
% 8.87/9.26 ] .
% 8.87/9.26
% 8.87/9.26
% 8.87/9.26 percentage equality = 1.000000, percentage horn = 1.000000
% 8.87/9.26 This is a pure equality problem
% 8.87/9.26
% 8.87/9.26
% 8.87/9.26
% 8.87/9.26 Options Used:
% 8.87/9.26
% 8.87/9.26 useres = 1
% 8.87/9.26 useparamod = 1
% 8.87/9.26 useeqrefl = 1
% 8.87/9.26 useeqfact = 1
% 8.87/9.26 usefactor = 1
% 8.87/9.26 usesimpsplitting = 0
% 8.87/9.26 usesimpdemod = 5
% 8.87/9.26 usesimpres = 3
% 8.87/9.26
% 8.87/9.26 resimpinuse = 1000
% 8.87/9.26 resimpclauses = 20000
% 8.87/9.26 substype = eqrewr
% 8.87/9.26 backwardsubs = 1
% 8.87/9.26 selectoldest = 5
% 8.87/9.26
% 8.87/9.26 litorderings [0] = split
% 8.87/9.26 litorderings [1] = extend the termordering, first sorting on arguments
% 8.87/9.26
% 8.87/9.26 termordering = kbo
% 8.87/9.26
% 8.87/9.26 litapriori = 0
% 8.87/9.26 termapriori = 1
% 8.87/9.26 litaposteriori = 0
% 8.87/9.26 termaposteriori = 0
% 8.87/9.26 demodaposteriori = 0
% 8.87/9.26 ordereqreflfact = 0
% 8.87/9.26
% 8.87/9.26 litselect = negord
% 8.87/9.26
% 8.87/9.26 maxweight = 15
% 8.87/9.26 maxdepth = 30000
% 8.87/9.26 maxlength = 115
% 8.87/9.26 maxnrvars = 195
% 8.87/9.26 excuselevel = 1
% 8.87/9.26 increasemaxweight = 1
% 8.87/9.26
% 8.87/9.26 maxselected = 10000000
% 8.87/9.26 maxnrclauses = 10000000
% 8.87/9.26
% 8.87/9.26 showgenerated = 0
% 8.87/9.26 showkept = 0
% 8.87/9.26 showselected = 0
% 8.87/9.26 showdeleted = 0
% 8.87/9.26 showresimp = 1
% 8.87/9.26 showstatus = 2000
% 8.87/9.26
% 8.87/9.26 prologoutput = 1
% 8.87/9.26 nrgoals = 5000000
% 8.87/9.26 totalproof = 1
% 8.87/9.26
% 8.87/9.26 Symbols occurring in the translation:
% 8.87/9.26
% 8.87/9.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 8.87/9.26 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 8.87/9.26 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 8.87/9.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.87/9.26 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 8.87/9.26 ifeq [42, 4] (w:1, o:54, a:1, s:1, b:0),
% 8.87/9.26 s [43, 0] (w:1, o:5, a:1, s:1, b:0),
% 8.87/9.26 apply [45, 2] (w:1, o:53, a:1, s:1, b:0),
% 8.87/9.26 b [48, 0] (w:1, o:17, a:1, s:1, b:0),
% 8.87/9.26 c [49, 0] (w:1, o:18, a:1, s:1, b:0),
% 8.87/9.26 i [50, 0] (w:1, o:19, a:1, s:1, b:0),
% 8.87/9.26 'fixed_pt' [52, 0] (w:1, o:20, a:1, s:1, b:0),
% 8.87/9.26 'fixed_point' [53, 1] (w:1, o:27, a:1, s:1, b:0),
% 8.87/9.26 true [54, 0] (w:1, o:21, a:1, s:1, b:0).
% 8.87/9.26
% 8.87/9.26
% 8.87/9.26 Starting Search:
% 8.87/9.26
% 8.87/9.26 Resimplifying inuse:
% 8.87/9.26 Done
% 8.87/9.26
% 8.87/9.26 Failed to find proof!
% 8.87/9.26 maxweight = 15
% 8.87/9.26 maxnrclauses = 10000000
% 8.87/9.26 Generated: 12830
% 8.87/9.26 Kept: 118
% 8.87/9.26
% 8.87/9.26
% 8.87/9.26 The strategy used was not complete!
% 8.87/9.26
% 8.87/9.26 Increased maxweight to 16
% 8.87/9.26
% 8.87/9.26 Starting Search:
% 8.87/9.26
% 8.87/9.26 Resimplifying inuse:
% 8.87/9.26 Done
% 8.87/9.26
% 8.87/9.26 Failed to find proof!
% 8.87/9.26 maxweight = 16
% 8.87/9.26 maxnrclauses = 10000000
% 8.87/9.26 Generated: 12959
% 8.87/9.26 Kept: 124
% 8.87/9.26
% 8.87/9.26
% 8.87/9.26 The strategy used was not complete!
% 8.87/9.26
% 8.87/9.26 Increased maxweight to 17
% 8.87/9.26
% 8.87/9.26 Starting Search:
% 8.87/9.26
% 8.87/9.26 Resimplifying inuse:
% 8.87/9.26 Done
% 8.87/9.26
% 8.87/9.26 Failed to find proof!
% 8.87/9.26 maxweight = 17
% 8.87/9.26 maxnrclauses = 10000000
% 8.87/9.26 Generated: 61070
% 8.87/9.26 Kept: 484
% 8.87/9.26
% 8.87/9.26
% 8.87/9.26 The strategy used was not complete!
% 8.87/9.26
% 8.87/9.26 Increased maxweight to 18
% 8.87/9.26
% 8.87/9.26 Starting Search:
% 8.87/9.26
% 8.87/9.26 Resimplifying inuse:
% 8.87/9.26 Done
% 8.87/9.26
% 8.87/9.26 Failed to find proof!
% 8.87/9.26 maxweight = 18
% 8.87/9.26 maxnrclauses = 10000000
% 8.87/9.26 Generated: 62618
% 8.87/9.26 Kept: 512
% 8.87/9.26
% 8.87/9.26
% 8.87/9.26 The strategy used was not complete!
% 8.87/9.26
% 8.87/9.26 Increased maxweight to 19
% 8.87/9.26
% 8.87/9.26 Starting Search:
% 8.87/9.26
% 8.87/9.26 Resimplifying inuse:
% 8.87/9.26 Done
% 8.87/9.26
% 8.87/9.26
% 8.87/9.26 Intermediate Status:
% 8.87/9.26 Generated: 212122
% 8.87/9.26 Kept: 2000
% 8.87/9.26 Inuse: 613
% 8.87/9.26 Deleted: 223
% 8.87/9.26 Deletedinuse: 37
% 8.87/9.26
% 8.87/9.26 Resimplifying inuse:
% 8.87/9.26 Done
% 8.87/9.26
% 8.87/9.26 Resimplifying inuse:
% 8.87/9.26 Done
% 8.87/9.26
% 8.87/9.26 Resimplifying inuse:
% 8.87/9.26 Done
% 8.87/9.26
% 8.87/9.26 Failed to find proof!
% 8.87/9.26 maxweight = 19
% 8.87/9.26 maxnrclauses = 10000000
% 8.87/9.26 Generated: 1298748
% 8.87/9.26 Kept: 3542
% 8.87/9.26
% 8.87/9.26
% 8.87/9.26 The strategy used was not complete!
% 8.87/9.26
% 8.87/9.26 Increased maxweight to 20
% 8.87/9.26
% 8.87/9.26 Starting Search:
% 8.87/9.26
% 8.87/9.26 Resimplifying inuse:
% 8.87/9.26 Done
% 8.87/9.26
% 8.87/9.26
% 8.87/9.26 Bliksems!, er is een bewijs:
% 8.87/9.26 % SZS status Unsatisfiable
% 8.87/9.26 % SZS output start Refutation
% 8.87/9.26
% 8.87/9.26 clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 8.87/9.26 .
% 8.87/9.26 clause( 1, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 8.87/9.26 , apply( Y, Z ) ) ) ] )
% 8.87/9.26 .
% 8.87/9.26 clause( 2, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 8.87/9.26 Z ) ) ) ] )
% 8.87/9.27 .
% 8.87/9.27 clause( 4, [ =( apply( i, X ), X ) ] )
% 8.87/9.27 .
% 8.87/9.27 clause( 5, [ =( ifeq( X, apply( 'fixed_pt', X ), 'fixed_point'( X ), true )
% 8.87/9.27 , true ) ] )
% 8.87/9.27 .
% 8.87/9.27 clause( 6, [ ~( =( 'fixed_point'( apply( apply( apply( s, apply( b, X ) ),
% 8.87/9.27 i ), apply( apply( s, apply( b, X ) ), i ) ) ), true ) ) ] )
% 8.87/9.27 .
% 8.87/9.27 clause( 22, [ =( apply( apply( apply( s, Y ), i ), X ), apply( apply( Y, X
% 8.87/9.27 ), X ) ) ] )
% 8.87/9.27 .
% 8.87/9.27 clause( 51, [ =( apply( apply( apply( apply( s, s ), i ), i ), X ), apply(
% 8.87/9.27 X, X ) ) ] )
% 8.87/9.27 .
% 8.87/9.27 clause( 65, [ =( apply( apply( apply( s, apply( b, X ) ), i ), Y ), apply(
% 8.87/9.27 X, apply( Y, Y ) ) ) ] )
% 8.87/9.27 .
% 8.87/9.27 clause( 75, [ ~( =( 'fixed_point'( apply( apply( apply( apply( s, s ), i )
% 8.87/9.27 , i ), apply( apply( s, apply( b, X ) ), i ) ) ), true ) ) ] )
% 8.87/9.27 .
% 8.87/9.27 clause( 83, [ =( apply( apply( apply( s, apply( apply( s, s ), i ) ), X ),
% 8.87/9.27 i ), apply( apply( X, i ), apply( X, i ) ) ) ] )
% 8.87/9.27 .
% 8.87/9.27 clause( 94, [ =( ifeq( apply( X, X ), apply( apply( apply( s, apply( b,
% 8.87/9.27 'fixed_pt' ) ), i ), X ), 'fixed_point'( apply( X, X ) ), true ), true )
% 8.87/9.27 ] )
% 8.87/9.27 .
% 8.87/9.27 clause( 1089, [ ~( =( 'fixed_point'( apply( apply( apply( s, apply( apply(
% 8.87/9.27 s, s ), i ) ), apply( s, apply( b, X ) ) ), i ) ), true ) ) ] )
% 8.87/9.27 .
% 8.87/9.27 clause( 1277, [] )
% 8.87/9.27 .
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 % SZS output end Refutation
% 8.87/9.27 found a proof!
% 8.87/9.27
% 8.87/9.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 8.87/9.27
% 8.87/9.27 initialclauses(
% 8.87/9.27 [ clause( 1279, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 8.87/9.27 , clause( 1280, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X
% 8.87/9.27 , Z ), apply( Y, Z ) ) ) ] )
% 8.87/9.27 , clause( 1281, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 8.87/9.27 Y, Z ) ) ) ] )
% 8.87/9.27 , clause( 1282, [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X
% 8.87/9.27 , Z ), Y ) ) ] )
% 8.87/9.27 , clause( 1283, [ =( apply( i, X ), X ) ] )
% 8.87/9.27 , clause( 1284, [ =( ifeq( X, apply( 'fixed_pt', X ), 'fixed_point'( X ),
% 8.87/9.27 true ), true ) ] )
% 8.87/9.27 , clause( 1285, [ ~( =( 'fixed_point'( apply( apply( apply( s, apply( b, X
% 8.87/9.27 ) ), i ), apply( apply( s, apply( b, X ) ), i ) ) ), true ) ) ] )
% 8.87/9.27 ] ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 subsumption(
% 8.87/9.27 clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 8.87/9.27 , clause( 1279, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 8.87/9.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 8.87/9.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 subsumption(
% 8.87/9.27 clause( 1, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 8.87/9.27 , apply( Y, Z ) ) ) ] )
% 8.87/9.27 , clause( 1280, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X
% 8.87/9.27 , Z ), apply( Y, Z ) ) ) ] )
% 8.87/9.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 8.87/9.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 subsumption(
% 8.87/9.27 clause( 2, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 8.87/9.27 Z ) ) ) ] )
% 8.87/9.27 , clause( 1281, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 8.87/9.27 Y, Z ) ) ) ] )
% 8.87/9.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 8.87/9.27 permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 subsumption(
% 8.87/9.27 clause( 4, [ =( apply( i, X ), X ) ] )
% 8.87/9.27 , clause( 1283, [ =( apply( i, X ), X ) ] )
% 8.87/9.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 subsumption(
% 8.87/9.27 clause( 5, [ =( ifeq( X, apply( 'fixed_pt', X ), 'fixed_point'( X ), true )
% 8.87/9.27 , true ) ] )
% 8.87/9.27 , clause( 1284, [ =( ifeq( X, apply( 'fixed_pt', X ), 'fixed_point'( X ),
% 8.87/9.27 true ), true ) ] )
% 8.87/9.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 subsumption(
% 8.87/9.27 clause( 6, [ ~( =( 'fixed_point'( apply( apply( apply( s, apply( b, X ) ),
% 8.87/9.27 i ), apply( apply( s, apply( b, X ) ), i ) ) ), true ) ) ] )
% 8.87/9.27 , clause( 1285, [ ~( =( 'fixed_point'( apply( apply( apply( s, apply( b, X
% 8.87/9.27 ) ), i ), apply( apply( s, apply( b, X ) ), i ) ) ), true ) ) ] )
% 8.87/9.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1311, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 8.87/9.27 apply( s, X ), Y ), Z ) ) ] )
% 8.87/9.27 , clause( 1, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z
% 8.87/9.27 ), apply( Y, Z ) ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 paramod(
% 8.87/9.27 clause( 1313, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X ),
% 8.87/9.27 i ), Y ) ) ] )
% 8.87/9.27 , clause( 4, [ =( apply( i, X ), X ) ] )
% 8.87/9.27 , 0, clause( 1311, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 8.87/9.27 apply( s, X ), Y ), Z ) ) ] )
% 8.87/9.27 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 8.87/9.27 :=( Y, i ), :=( Z, Y )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1315, [ =( apply( apply( apply( s, X ), i ), Y ), apply( apply( X,
% 8.87/9.27 Y ), Y ) ) ] )
% 8.87/9.27 , clause( 1313, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X )
% 8.87/9.27 , i ), Y ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 subsumption(
% 8.87/9.27 clause( 22, [ =( apply( apply( apply( s, Y ), i ), X ), apply( apply( Y, X
% 8.87/9.27 ), X ) ) ] )
% 8.87/9.27 , clause( 1315, [ =( apply( apply( apply( s, X ), i ), Y ), apply( apply( X
% 8.87/9.27 , Y ), Y ) ) ] )
% 8.87/9.27 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 8.87/9.27 )] ) ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1316, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X ),
% 8.87/9.27 i ), Y ) ) ] )
% 8.87/9.27 , clause( 22, [ =( apply( apply( apply( s, Y ), i ), X ), apply( apply( Y,
% 8.87/9.27 X ), X ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1317, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X ),
% 8.87/9.27 i ), Y ) ) ] )
% 8.87/9.27 , clause( 22, [ =( apply( apply( apply( s, Y ), i ), X ), apply( apply( Y,
% 8.87/9.27 X ), X ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 paramod(
% 8.87/9.27 clause( 1322, [ =( apply( apply( i, X ), X ), apply( apply( apply( apply( s
% 8.87/9.27 , s ), i ), i ), X ) ) ] )
% 8.87/9.27 , clause( 1316, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X )
% 8.87/9.27 , i ), Y ) ) ] )
% 8.87/9.27 , 0, clause( 1317, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s,
% 8.87/9.27 X ), i ), Y ) ) ] )
% 8.87/9.27 , 0, 7, substitution( 0, [ :=( X, s ), :=( Y, i )] ), substitution( 1, [
% 8.87/9.27 :=( X, i ), :=( Y, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 paramod(
% 8.87/9.27 clause( 1343, [ =( apply( X, X ), apply( apply( apply( apply( s, s ), i ),
% 8.87/9.27 i ), X ) ) ] )
% 8.87/9.27 , clause( 4, [ =( apply( i, X ), X ) ] )
% 8.87/9.27 , 0, clause( 1322, [ =( apply( apply( i, X ), X ), apply( apply( apply(
% 8.87/9.27 apply( s, s ), i ), i ), X ) ) ] )
% 8.87/9.27 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 8.87/9.27 ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1344, [ =( apply( apply( apply( apply( s, s ), i ), i ), X ), apply(
% 8.87/9.27 X, X ) ) ] )
% 8.87/9.27 , clause( 1343, [ =( apply( X, X ), apply( apply( apply( apply( s, s ), i )
% 8.87/9.27 , i ), X ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 subsumption(
% 8.87/9.27 clause( 51, [ =( apply( apply( apply( apply( s, s ), i ), i ), X ), apply(
% 8.87/9.27 X, X ) ) ] )
% 8.87/9.27 , clause( 1344, [ =( apply( apply( apply( apply( s, s ), i ), i ), X ),
% 8.87/9.27 apply( X, X ) ) ] )
% 8.87/9.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1345, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X ),
% 8.87/9.27 i ), Y ) ) ] )
% 8.87/9.27 , clause( 22, [ =( apply( apply( apply( s, Y ), i ), X ), apply( apply( Y,
% 8.87/9.27 X ), X ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1346, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ),
% 8.87/9.27 Y ), Z ) ) ] )
% 8.87/9.27 , clause( 2, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 8.87/9.27 , Z ) ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 paramod(
% 8.87/9.27 clause( 1349, [ =( apply( X, apply( Y, Y ) ), apply( apply( apply( s, apply(
% 8.87/9.27 b, X ) ), i ), Y ) ) ] )
% 8.87/9.27 , clause( 1345, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X )
% 8.87/9.27 , i ), Y ) ) ] )
% 8.87/9.27 , 0, clause( 1346, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b,
% 8.87/9.27 X ), Y ), Z ) ) ] )
% 8.87/9.27 , 0, 6, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 8.87/9.27 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1353, [ =( apply( apply( apply( s, apply( b, X ) ), i ), Y ), apply(
% 8.87/9.27 X, apply( Y, Y ) ) ) ] )
% 8.87/9.27 , clause( 1349, [ =( apply( X, apply( Y, Y ) ), apply( apply( apply( s,
% 8.87/9.27 apply( b, X ) ), i ), Y ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 subsumption(
% 8.87/9.27 clause( 65, [ =( apply( apply( apply( s, apply( b, X ) ), i ), Y ), apply(
% 8.87/9.27 X, apply( Y, Y ) ) ) ] )
% 8.87/9.27 , clause( 1353, [ =( apply( apply( apply( s, apply( b, X ) ), i ), Y ),
% 8.87/9.27 apply( X, apply( Y, Y ) ) ) ] )
% 8.87/9.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 8.87/9.27 )] ) ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1355, [ =( apply( X, X ), apply( apply( apply( apply( s, s ), i ),
% 8.87/9.27 i ), X ) ) ] )
% 8.87/9.27 , clause( 51, [ =( apply( apply( apply( apply( s, s ), i ), i ), X ), apply(
% 8.87/9.27 X, X ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1356, [ ~( =( true, 'fixed_point'( apply( apply( apply( s, apply( b
% 8.87/9.27 , X ) ), i ), apply( apply( s, apply( b, X ) ), i ) ) ) ) ) ] )
% 8.87/9.27 , clause( 6, [ ~( =( 'fixed_point'( apply( apply( apply( s, apply( b, X ) )
% 8.87/9.27 , i ), apply( apply( s, apply( b, X ) ), i ) ) ), true ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 paramod(
% 8.87/9.27 clause( 1357, [ ~( =( true, 'fixed_point'( apply( apply( apply( apply( s, s
% 8.87/9.27 ), i ), i ), apply( apply( s, apply( b, X ) ), i ) ) ) ) ) ] )
% 8.87/9.27 , clause( 1355, [ =( apply( X, X ), apply( apply( apply( apply( s, s ), i )
% 8.87/9.27 , i ), X ) ) ] )
% 8.87/9.27 , 0, clause( 1356, [ ~( =( true, 'fixed_point'( apply( apply( apply( s,
% 8.87/9.27 apply( b, X ) ), i ), apply( apply( s, apply( b, X ) ), i ) ) ) ) ) ] )
% 8.87/9.27 , 0, 4, substitution( 0, [ :=( X, apply( apply( s, apply( b, X ) ), i ) )] )
% 8.87/9.27 , substitution( 1, [ :=( X, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1380, [ ~( =( 'fixed_point'( apply( apply( apply( apply( s, s ), i
% 8.87/9.27 ), i ), apply( apply( s, apply( b, X ) ), i ) ) ), true ) ) ] )
% 8.87/9.27 , clause( 1357, [ ~( =( true, 'fixed_point'( apply( apply( apply( apply( s
% 8.87/9.27 , s ), i ), i ), apply( apply( s, apply( b, X ) ), i ) ) ) ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 subsumption(
% 8.87/9.27 clause( 75, [ ~( =( 'fixed_point'( apply( apply( apply( apply( s, s ), i )
% 8.87/9.27 , i ), apply( apply( s, apply( b, X ) ), i ) ) ), true ) ) ] )
% 8.87/9.27 , clause( 1380, [ ~( =( 'fixed_point'( apply( apply( apply( apply( s, s ),
% 8.87/9.27 i ), i ), apply( apply( s, apply( b, X ) ), i ) ) ), true ) ) ] )
% 8.87/9.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1403, [ =( apply( X, X ), apply( apply( apply( apply( s, s ), i ),
% 8.87/9.27 i ), X ) ) ] )
% 8.87/9.27 , clause( 51, [ =( apply( apply( apply( apply( s, s ), i ), i ), X ), apply(
% 8.87/9.27 X, X ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1404, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 8.87/9.27 apply( s, X ), Y ), Z ) ) ] )
% 8.87/9.27 , clause( 1, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z
% 8.87/9.27 ), apply( Y, Z ) ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 paramod(
% 8.87/9.27 clause( 1438, [ =( apply( apply( X, i ), apply( X, i ) ), apply( apply(
% 8.87/9.27 apply( s, apply( apply( s, s ), i ) ), X ), i ) ) ] )
% 8.87/9.27 , clause( 1404, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 8.87/9.27 apply( s, X ), Y ), Z ) ) ] )
% 8.87/9.27 , 0, clause( 1403, [ =( apply( X, X ), apply( apply( apply( apply( s, s ),
% 8.87/9.27 i ), i ), X ) ) ] )
% 8.87/9.27 , 0, 8, substitution( 0, [ :=( X, apply( apply( s, s ), i ) ), :=( Y, X ),
% 8.87/9.27 :=( Z, i )] ), substitution( 1, [ :=( X, apply( X, i ) )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1442, [ =( apply( apply( apply( s, apply( apply( s, s ), i ) ), X )
% 8.87/9.27 , i ), apply( apply( X, i ), apply( X, i ) ) ) ] )
% 8.87/9.27 , clause( 1438, [ =( apply( apply( X, i ), apply( X, i ) ), apply( apply(
% 8.87/9.27 apply( s, apply( apply( s, s ), i ) ), X ), i ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 subsumption(
% 8.87/9.27 clause( 83, [ =( apply( apply( apply( s, apply( apply( s, s ), i ) ), X ),
% 8.87/9.27 i ), apply( apply( X, i ), apply( X, i ) ) ) ] )
% 8.87/9.27 , clause( 1442, [ =( apply( apply( apply( s, apply( apply( s, s ), i ) ), X
% 8.87/9.27 ), i ), apply( apply( X, i ), apply( X, i ) ) ) ] )
% 8.87/9.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1443, [ =( apply( X, apply( Y, Y ) ), apply( apply( apply( s, apply(
% 8.87/9.27 b, X ) ), i ), Y ) ) ] )
% 8.87/9.27 , clause( 65, [ =( apply( apply( apply( s, apply( b, X ) ), i ), Y ), apply(
% 8.87/9.27 X, apply( Y, Y ) ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1444, [ =( true, ifeq( X, apply( 'fixed_pt', X ), 'fixed_point'( X
% 8.87/9.27 ), true ) ) ] )
% 8.87/9.27 , clause( 5, [ =( ifeq( X, apply( 'fixed_pt', X ), 'fixed_point'( X ), true
% 8.87/9.27 ), true ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 paramod(
% 8.87/9.27 clause( 1445, [ =( true, ifeq( apply( X, X ), apply( apply( apply( s, apply(
% 8.87/9.27 b, 'fixed_pt' ) ), i ), X ), 'fixed_point'( apply( X, X ) ), true ) ) ]
% 8.87/9.27 )
% 8.87/9.27 , clause( 1443, [ =( apply( X, apply( Y, Y ) ), apply( apply( apply( s,
% 8.87/9.27 apply( b, X ) ), i ), Y ) ) ] )
% 8.87/9.27 , 0, clause( 1444, [ =( true, ifeq( X, apply( 'fixed_pt', X ),
% 8.87/9.27 'fixed_point'( X ), true ) ) ] )
% 8.87/9.27 , 0, 6, substitution( 0, [ :=( X, 'fixed_pt' ), :=( Y, X )] ),
% 8.87/9.27 substitution( 1, [ :=( X, apply( X, X ) )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1446, [ =( ifeq( apply( X, X ), apply( apply( apply( s, apply( b,
% 8.87/9.27 'fixed_pt' ) ), i ), X ), 'fixed_point'( apply( X, X ) ), true ), true )
% 8.87/9.27 ] )
% 8.87/9.27 , clause( 1445, [ =( true, ifeq( apply( X, X ), apply( apply( apply( s,
% 8.87/9.27 apply( b, 'fixed_pt' ) ), i ), X ), 'fixed_point'( apply( X, X ) ), true
% 8.87/9.27 ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 subsumption(
% 8.87/9.27 clause( 94, [ =( ifeq( apply( X, X ), apply( apply( apply( s, apply( b,
% 8.87/9.27 'fixed_pt' ) ), i ), X ), 'fixed_point'( apply( X, X ) ), true ), true )
% 8.87/9.27 ] )
% 8.87/9.27 , clause( 1446, [ =( ifeq( apply( X, X ), apply( apply( apply( s, apply( b
% 8.87/9.27 , 'fixed_pt' ) ), i ), X ), 'fixed_point'( apply( X, X ) ), true ), true
% 8.87/9.27 ) ] )
% 8.87/9.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1447, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 8.87/9.27 apply( s, X ), Y ), Z ) ) ] )
% 8.87/9.27 , clause( 1, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z
% 8.87/9.27 ), apply( Y, Z ) ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1448, [ ~( =( true, 'fixed_point'( apply( apply( apply( apply( s, s
% 8.87/9.27 ), i ), i ), apply( apply( s, apply( b, X ) ), i ) ) ) ) ) ] )
% 8.87/9.27 , clause( 75, [ ~( =( 'fixed_point'( apply( apply( apply( apply( s, s ), i
% 8.87/9.27 ), i ), apply( apply( s, apply( b, X ) ), i ) ) ), true ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 paramod(
% 8.87/9.27 clause( 1449, [ ~( =( true, 'fixed_point'( apply( apply( apply( s, apply(
% 8.87/9.27 apply( s, s ), i ) ), apply( s, apply( b, X ) ) ), i ) ) ) ) ] )
% 8.87/9.27 , clause( 1447, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 8.87/9.27 apply( s, X ), Y ), Z ) ) ] )
% 8.87/9.27 , 0, clause( 1448, [ ~( =( true, 'fixed_point'( apply( apply( apply( apply(
% 8.87/9.27 s, s ), i ), i ), apply( apply( s, apply( b, X ) ), i ) ) ) ) ) ] )
% 8.87/9.27 , 0, 4, substitution( 0, [ :=( X, apply( apply( s, s ), i ) ), :=( Y, apply(
% 8.87/9.27 s, apply( b, X ) ) ), :=( Z, i )] ), substitution( 1, [ :=( X, X )] )
% 8.87/9.27 ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1450, [ ~( =( 'fixed_point'( apply( apply( apply( s, apply( apply(
% 8.87/9.27 s, s ), i ) ), apply( s, apply( b, X ) ) ), i ) ), true ) ) ] )
% 8.87/9.27 , clause( 1449, [ ~( =( true, 'fixed_point'( apply( apply( apply( s, apply(
% 8.87/9.27 apply( s, s ), i ) ), apply( s, apply( b, X ) ) ), i ) ) ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 subsumption(
% 8.87/9.27 clause( 1089, [ ~( =( 'fixed_point'( apply( apply( apply( s, apply( apply(
% 8.87/9.27 s, s ), i ) ), apply( s, apply( b, X ) ) ), i ) ), true ) ) ] )
% 8.87/9.27 , clause( 1450, [ ~( =( 'fixed_point'( apply( apply( apply( s, apply( apply(
% 8.87/9.27 s, s ), i ) ), apply( s, apply( b, X ) ) ), i ) ), true ) ) ] )
% 8.87/9.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1451, [ =( apply( apply( X, i ), apply( X, i ) ), apply( apply(
% 8.87/9.27 apply( s, apply( apply( s, s ), i ) ), X ), i ) ) ] )
% 8.87/9.27 , clause( 83, [ =( apply( apply( apply( s, apply( apply( s, s ), i ) ), X )
% 8.87/9.27 , i ), apply( apply( X, i ), apply( X, i ) ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1452, [ =( true, ifeq( apply( X, X ), apply( apply( apply( s, apply(
% 8.87/9.27 b, 'fixed_pt' ) ), i ), X ), 'fixed_point'( apply( X, X ) ), true ) ) ]
% 8.87/9.27 )
% 8.87/9.27 , clause( 94, [ =( ifeq( apply( X, X ), apply( apply( apply( s, apply( b,
% 8.87/9.27 'fixed_pt' ) ), i ), X ), 'fixed_point'( apply( X, X ) ), true ), true )
% 8.87/9.27 ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 eqswap(
% 8.87/9.27 clause( 1454, [ ~( =( true, 'fixed_point'( apply( apply( apply( s, apply(
% 8.87/9.27 apply( s, s ), i ) ), apply( s, apply( b, X ) ) ), i ) ) ) ) ] )
% 8.87/9.27 , clause( 1089, [ ~( =( 'fixed_point'( apply( apply( apply( s, apply( apply(
% 8.87/9.27 s, s ), i ) ), apply( s, apply( b, X ) ) ), i ) ), true ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, X )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 paramod(
% 8.87/9.27 clause( 1457, [ =( true, ifeq( apply( apply( apply( s, apply( b, 'fixed_pt'
% 8.87/9.27 ) ), i ), apply( apply( s, apply( b, 'fixed_pt' ) ), i ) ), apply( apply(
% 8.87/9.27 apply( s, apply( apply( s, s ), i ) ), apply( s, apply( b, 'fixed_pt' ) )
% 8.87/9.27 ), i ), 'fixed_point'( apply( apply( apply( s, apply( b, 'fixed_pt' ) )
% 8.87/9.27 , i ), apply( apply( s, apply( b, 'fixed_pt' ) ), i ) ) ), true ) ) ] )
% 8.87/9.27 , clause( 1451, [ =( apply( apply( X, i ), apply( X, i ) ), apply( apply(
% 8.87/9.27 apply( s, apply( apply( s, s ), i ) ), X ), i ) ) ] )
% 8.87/9.27 , 0, clause( 1452, [ =( true, ifeq( apply( X, X ), apply( apply( apply( s,
% 8.87/9.27 apply( b, 'fixed_pt' ) ), i ), X ), 'fixed_point'( apply( X, X ) ), true
% 8.87/9.27 ) ) ] )
% 8.87/9.27 , 0, 18, substitution( 0, [ :=( X, apply( s, apply( b, 'fixed_pt' ) ) )] )
% 8.87/9.27 , substitution( 1, [ :=( X, apply( apply( s, apply( b, 'fixed_pt' ) ), i
% 8.87/9.27 ) )] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 paramod(
% 8.87/9.27 clause( 1459, [ =( true, ifeq( apply( apply( apply( s, apply( b, 'fixed_pt'
% 8.87/9.27 ) ), i ), apply( apply( s, apply( b, 'fixed_pt' ) ), i ) ), apply( apply(
% 8.87/9.27 apply( s, apply( apply( s, s ), i ) ), apply( s, apply( b, 'fixed_pt' ) )
% 8.87/9.27 ), i ), 'fixed_point'( apply( apply( apply( s, apply( apply( s, s ), i )
% 8.87/9.27 ), apply( s, apply( b, 'fixed_pt' ) ) ), i ) ), true ) ) ] )
% 8.87/9.27 , clause( 1451, [ =( apply( apply( X, i ), apply( X, i ) ), apply( apply(
% 8.87/9.27 apply( s, apply( apply( s, s ), i ) ), X ), i ) ) ] )
% 8.87/9.27 , 0, clause( 1457, [ =( true, ifeq( apply( apply( apply( s, apply( b,
% 8.87/9.27 'fixed_pt' ) ), i ), apply( apply( s, apply( b, 'fixed_pt' ) ), i ) ),
% 8.87/9.27 apply( apply( apply( s, apply( apply( s, s ), i ) ), apply( s, apply( b,
% 8.87/9.27 'fixed_pt' ) ) ), i ), 'fixed_point'( apply( apply( apply( s, apply( b,
% 8.87/9.27 'fixed_pt' ) ), i ), apply( apply( s, apply( b, 'fixed_pt' ) ), i ) ) ),
% 8.87/9.27 true ) ) ] )
% 8.87/9.27 , 0, 34, substitution( 0, [ :=( X, apply( s, apply( b, 'fixed_pt' ) ) )] )
% 8.87/9.27 , substitution( 1, [] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 paramod(
% 8.87/9.27 clause( 1460, [ =( true, ifeq( apply( apply( apply( s, apply( apply( s, s )
% 8.87/9.27 , i ) ), apply( s, apply( b, 'fixed_pt' ) ) ), i ), apply( apply( apply(
% 8.87/9.27 s, apply( apply( s, s ), i ) ), apply( s, apply( b, 'fixed_pt' ) ) ), i )
% 8.87/9.27 , 'fixed_point'( apply( apply( apply( s, apply( apply( s, s ), i ) ),
% 8.87/9.27 apply( s, apply( b, 'fixed_pt' ) ) ), i ) ), true ) ) ] )
% 8.87/9.27 , clause( 1451, [ =( apply( apply( X, i ), apply( X, i ) ), apply( apply(
% 8.87/9.27 apply( s, apply( apply( s, s ), i ) ), X ), i ) ) ] )
% 8.87/9.27 , 0, clause( 1459, [ =( true, ifeq( apply( apply( apply( s, apply( b,
% 8.87/9.27 'fixed_pt' ) ), i ), apply( apply( s, apply( b, 'fixed_pt' ) ), i ) ),
% 8.87/9.27 apply( apply( apply( s, apply( apply( s, s ), i ) ), apply( s, apply( b,
% 8.87/9.27 'fixed_pt' ) ) ), i ), 'fixed_point'( apply( apply( apply( s, apply(
% 8.87/9.27 apply( s, s ), i ) ), apply( s, apply( b, 'fixed_pt' ) ) ), i ) ), true )
% 8.87/9.27 ) ] )
% 8.87/9.27 , 0, 3, substitution( 0, [ :=( X, apply( s, apply( b, 'fixed_pt' ) ) )] ),
% 8.87/9.27 substitution( 1, [] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 paramod(
% 8.87/9.27 clause( 1462, [ =( true, 'fixed_point'( apply( apply( apply( s, apply(
% 8.87/9.27 apply( s, s ), i ) ), apply( s, apply( b, 'fixed_pt' ) ) ), i ) ) ) ] )
% 8.87/9.27 , clause( 0, [ =( ifeq( X, X, Y, Z ), Y ) ] )
% 8.87/9.27 , 0, clause( 1460, [ =( true, ifeq( apply( apply( apply( s, apply( apply( s
% 8.87/9.27 , s ), i ) ), apply( s, apply( b, 'fixed_pt' ) ) ), i ), apply( apply(
% 8.87/9.27 apply( s, apply( apply( s, s ), i ) ), apply( s, apply( b, 'fixed_pt' ) )
% 8.87/9.27 ), i ), 'fixed_point'( apply( apply( apply( s, apply( apply( s, s ), i )
% 8.87/9.27 ), apply( s, apply( b, 'fixed_pt' ) ) ), i ) ), true ) ) ] )
% 8.87/9.27 , 0, 2, substitution( 0, [ :=( X, apply( apply( apply( s, apply( apply( s,
% 8.87/9.27 s ), i ) ), apply( s, apply( b, 'fixed_pt' ) ) ), i ) ), :=( Y,
% 8.87/9.27 'fixed_point'( apply( apply( apply( s, apply( apply( s, s ), i ) ), apply(
% 8.87/9.27 s, apply( b, 'fixed_pt' ) ) ), i ) ) ), :=( Z, true )] ), substitution( 1
% 8.87/9.27 , [] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 resolution(
% 8.87/9.27 clause( 1463, [] )
% 8.87/9.27 , clause( 1454, [ ~( =( true, 'fixed_point'( apply( apply( apply( s, apply(
% 8.87/9.27 apply( s, s ), i ) ), apply( s, apply( b, X ) ) ), i ) ) ) ) ] )
% 8.87/9.27 , 0, clause( 1462, [ =( true, 'fixed_point'( apply( apply( apply( s, apply(
% 8.87/9.27 apply( s, s ), i ) ), apply( s, apply( b, 'fixed_pt' ) ) ), i ) ) ) ] )
% 8.87/9.27 , 0, substitution( 0, [ :=( X, 'fixed_pt' )] ), substitution( 1, [] )).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 subsumption(
% 8.87/9.27 clause( 1277, [] )
% 8.87/9.27 , clause( 1463, [] )
% 8.87/9.27 , substitution( 0, [] ), permutation( 0, [] ) ).
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 end.
% 8.87/9.27
% 8.87/9.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 8.87/9.27
% 8.87/9.27 Memory use:
% 8.87/9.27
% 8.87/9.27 space for terms: 23361
% 8.87/9.27 space for clauses: 150481
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 clauses generated: 56498
% 8.87/9.27 clauses kept: 1278
% 8.87/9.27 clauses selected: 252
% 8.87/9.27 clauses deleted: 111
% 8.87/9.27 clauses inuse deleted: 37
% 8.87/9.27
% 8.87/9.27 subsentry: 4592
% 8.87/9.27 literals s-matched: 2157
% 8.87/9.27 literals matched: 2157
% 8.87/9.27 full subsumption: 0
% 8.87/9.27
% 8.87/9.27 checksum: -1856672792
% 8.87/9.27
% 8.87/9.27
% 8.87/9.27 Bliksem ended
%------------------------------------------------------------------------------