TSTP Solution File: COL002-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL002-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 00:12:19 EDT 2022
% Result : Unsatisfiable 0.85s 1.23s
% Output : Refutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL002-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue May 31 05:37:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.85/1.23 *** allocated 10000 integers for termspace/termends
% 0.85/1.23 *** allocated 10000 integers for clauses
% 0.85/1.23 *** allocated 10000 integers for justifications
% 0.85/1.23 Bliksem 1.12
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 Automatic Strategy Selection
% 0.85/1.23
% 0.85/1.23 Clauses:
% 0.85/1.23 [
% 0.85/1.23 [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z ), apply(
% 0.85/1.23 Y, Z ) ) ) ],
% 0.85/1.23 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.85/1.23 ],
% 0.85/1.23 [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X, Z ), Y ) )
% 0.85/1.23 ],
% 0.85/1.23 [ =( apply( i, X ), X ) ],
% 0.85/1.23 [ ~( =( X, apply( 'fixed_pt', X ) ) ), 'fixed_point'( X ) ],
% 0.85/1.23 [ ~( 'fixed_point'( apply( apply( apply( s, apply( b, X ) ), i ), apply(
% 0.85/1.23 apply( s, apply( b, X ) ), i ) ) ) ) ]
% 0.85/1.23 ] .
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 percentage equality = 0.714286, percentage horn = 1.000000
% 0.85/1.23 This is a problem with some equality
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 Options Used:
% 0.85/1.23
% 0.85/1.23 useres = 1
% 0.85/1.23 useparamod = 1
% 0.85/1.23 useeqrefl = 1
% 0.85/1.23 useeqfact = 1
% 0.85/1.23 usefactor = 1
% 0.85/1.23 usesimpsplitting = 0
% 0.85/1.23 usesimpdemod = 5
% 0.85/1.23 usesimpres = 3
% 0.85/1.23
% 0.85/1.23 resimpinuse = 1000
% 0.85/1.23 resimpclauses = 20000
% 0.85/1.23 substype = eqrewr
% 0.85/1.23 backwardsubs = 1
% 0.85/1.23 selectoldest = 5
% 0.85/1.23
% 0.85/1.23 litorderings [0] = split
% 0.85/1.23 litorderings [1] = extend the termordering, first sorting on arguments
% 0.85/1.23
% 0.85/1.23 termordering = kbo
% 0.85/1.23
% 0.85/1.23 litapriori = 0
% 0.85/1.23 termapriori = 1
% 0.85/1.23 litaposteriori = 0
% 0.85/1.23 termaposteriori = 0
% 0.85/1.23 demodaposteriori = 0
% 0.85/1.23 ordereqreflfact = 0
% 0.85/1.23
% 0.85/1.23 litselect = negord
% 0.85/1.23
% 0.85/1.23 maxweight = 15
% 0.85/1.23 maxdepth = 30000
% 0.85/1.23 maxlength = 115
% 0.85/1.23 maxnrvars = 195
% 0.85/1.23 excuselevel = 1
% 0.85/1.23 increasemaxweight = 1
% 0.85/1.23
% 0.85/1.23 maxselected = 10000000
% 0.85/1.23 maxnrclauses = 10000000
% 0.85/1.23
% 0.85/1.23 showgenerated = 0
% 0.85/1.23 showkept = 0
% 0.85/1.23 showselected = 0
% 0.85/1.23 showdeleted = 0
% 0.85/1.23 showresimp = 1
% 0.85/1.23 showstatus = 2000
% 0.85/1.23
% 0.85/1.23 prologoutput = 1
% 0.85/1.23 nrgoals = 5000000
% 0.85/1.23 totalproof = 1
% 0.85/1.23
% 0.85/1.23 Symbols occurring in the translation:
% 0.85/1.23
% 0.85/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.85/1.23 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.85/1.23 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.85/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.23 s [39, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.85/1.23 apply [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.85/1.23 b [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.85/1.23 c [45, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.85/1.23 i [46, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.85/1.23 'fixed_pt' [48, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.85/1.23 'fixed_point' [49, 1] (w:1, o:23, a:1, s:1, b:0).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 Starting Search:
% 0.85/1.23
% 0.85/1.23 Resimplifying inuse:
% 0.85/1.23 Done
% 0.85/1.23
% 0.85/1.23 Failed to find proof!
% 0.85/1.23 maxweight = 15
% 0.85/1.23 maxnrclauses = 10000000
% 0.85/1.23 Generated: 13166
% 0.85/1.23 Kept: 131
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 The strategy used was not complete!
% 0.85/1.23
% 0.85/1.23 Increased maxweight to 16
% 0.85/1.23
% 0.85/1.23 Starting Search:
% 0.85/1.23
% 0.85/1.23 Resimplifying inuse:
% 0.85/1.23 Done
% 0.85/1.23
% 0.85/1.23 Failed to find proof!
% 0.85/1.23 maxweight = 16
% 0.85/1.23 maxnrclauses = 10000000
% 0.85/1.23 Generated: 13764
% 0.85/1.23 Kept: 153
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 The strategy used was not complete!
% 0.85/1.23
% 0.85/1.23 Increased maxweight to 17
% 0.85/1.23
% 0.85/1.23 Starting Search:
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 Bliksems!, er is een bewijs:
% 0.85/1.23 % SZS status Unsatisfiable
% 0.85/1.23 % SZS output start Refutation
% 0.85/1.23
% 0.85/1.23 clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 0.85/1.23 , apply( Y, Z ) ) ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.85/1.23 Z ) ) ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 3, [ =( apply( i, X ), X ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 4, [ ~( =( apply( 'fixed_pt', X ), X ) ), 'fixed_point'( X ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 5, [ ~( 'fixed_point'( apply( apply( apply( s, apply( b, X ) ), i )
% 0.85/1.23 , apply( apply( s, apply( b, X ) ), i ) ) ) ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 21, [ =( apply( apply( apply( s, Y ), i ), X ), apply( apply( Y, X
% 0.85/1.23 ), X ) ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 49, [ =( apply( apply( apply( s, apply( b, X ) ), i ), Y ), apply(
% 0.85/1.23 X, apply( Y, Y ) ) ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 65, [ ~( =( apply( apply( apply( s, apply( b, 'fixed_pt' ) ), i ),
% 0.85/1.23 X ), apply( X, X ) ) ), 'fixed_point'( apply( X, X ) ) ] )
% 0.85/1.23 .
% 0.85/1.23 clause( 68, [] )
% 0.85/1.23 .
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 % SZS output end Refutation
% 0.85/1.23 found a proof!
% 0.85/1.23
% 0.85/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.85/1.23
% 0.85/1.23 initialclauses(
% 0.85/1.23 [ clause( 70, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X,
% 0.85/1.23 Z ), apply( Y, Z ) ) ) ] )
% 0.85/1.23 , clause( 71, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.85/1.23 Y, Z ) ) ) ] )
% 0.85/1.23 , clause( 72, [ =( apply( apply( apply( c, X ), Y ), Z ), apply( apply( X,
% 0.85/1.23 Z ), Y ) ) ] )
% 0.85/1.23 , clause( 73, [ =( apply( i, X ), X ) ] )
% 0.85/1.23 , clause( 74, [ ~( =( X, apply( 'fixed_pt', X ) ) ), 'fixed_point'( X ) ]
% 0.85/1.23 )
% 0.85/1.23 , clause( 75, [ ~( 'fixed_point'( apply( apply( apply( s, apply( b, X ) ),
% 0.85/1.23 i ), apply( apply( s, apply( b, X ) ), i ) ) ) ) ] )
% 0.85/1.23 ] ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 0.85/1.23 , apply( Y, Z ) ) ) ] )
% 0.85/1.23 , clause( 70, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X,
% 0.85/1.23 Z ), apply( Y, Z ) ) ) ] )
% 0.85/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.23 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.85/1.23 Z ) ) ) ] )
% 0.85/1.23 , clause( 71, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.85/1.23 Y, Z ) ) ) ] )
% 0.85/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.85/1.23 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 3, [ =( apply( i, X ), X ) ] )
% 0.85/1.23 , clause( 73, [ =( apply( i, X ), X ) ] )
% 0.85/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 87, [ ~( =( apply( 'fixed_pt', X ), X ) ), 'fixed_point'( X ) ] )
% 0.85/1.23 , clause( 74, [ ~( =( X, apply( 'fixed_pt', X ) ) ), 'fixed_point'( X ) ]
% 0.85/1.23 )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 4, [ ~( =( apply( 'fixed_pt', X ), X ) ), 'fixed_point'( X ) ] )
% 0.85/1.23 , clause( 87, [ ~( =( apply( 'fixed_pt', X ), X ) ), 'fixed_point'( X ) ]
% 0.85/1.23 )
% 0.85/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.85/1.23 1 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 5, [ ~( 'fixed_point'( apply( apply( apply( s, apply( b, X ) ), i )
% 0.85/1.23 , apply( apply( s, apply( b, X ) ), i ) ) ) ) ] )
% 0.85/1.23 , clause( 75, [ ~( 'fixed_point'( apply( apply( apply( s, apply( b, X ) ),
% 0.85/1.23 i ), apply( apply( s, apply( b, X ) ), i ) ) ) ) ] )
% 0.85/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 94, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply( apply(
% 0.85/1.23 s, X ), Y ), Z ) ) ] )
% 0.85/1.23 , clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z
% 0.85/1.23 ), apply( Y, Z ) ) ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 96, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X ), i
% 0.85/1.23 ), Y ) ) ] )
% 0.85/1.23 , clause( 3, [ =( apply( i, X ), X ) ] )
% 0.85/1.23 , 0, clause( 94, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 0.85/1.23 apply( s, X ), Y ), Z ) ) ] )
% 0.85/1.23 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.85/1.23 :=( Y, i ), :=( Z, Y )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 98, [ =( apply( apply( apply( s, X ), i ), Y ), apply( apply( X, Y
% 0.85/1.23 ), Y ) ) ] )
% 0.85/1.23 , clause( 96, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X ),
% 0.85/1.23 i ), Y ) ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 21, [ =( apply( apply( apply( s, Y ), i ), X ), apply( apply( Y, X
% 0.85/1.23 ), X ) ) ] )
% 0.85/1.23 , clause( 98, [ =( apply( apply( apply( s, X ), i ), Y ), apply( apply( X,
% 0.85/1.23 Y ), Y ) ) ] )
% 0.85/1.23 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.23 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 99, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X ), i
% 0.85/1.23 ), Y ) ) ] )
% 0.85/1.23 , clause( 21, [ =( apply( apply( apply( s, Y ), i ), X ), apply( apply( Y,
% 0.85/1.23 X ), X ) ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 100, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.85/1.23 ), Z ) ) ] )
% 0.85/1.23 , clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.85/1.23 , Z ) ) ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 103, [ =( apply( X, apply( Y, Y ) ), apply( apply( apply( s, apply(
% 0.85/1.23 b, X ) ), i ), Y ) ) ] )
% 0.85/1.23 , clause( 99, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, X ),
% 0.85/1.23 i ), Y ) ) ] )
% 0.85/1.23 , 0, clause( 100, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.85/1.23 ), Y ), Z ) ) ] )
% 0.85/1.23 , 0, 6, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 0.85/1.23 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 107, [ =( apply( apply( apply( s, apply( b, X ) ), i ), Y ), apply(
% 0.85/1.23 X, apply( Y, Y ) ) ) ] )
% 0.85/1.23 , clause( 103, [ =( apply( X, apply( Y, Y ) ), apply( apply( apply( s,
% 0.85/1.23 apply( b, X ) ), i ), Y ) ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 49, [ =( apply( apply( apply( s, apply( b, X ) ), i ), Y ), apply(
% 0.85/1.23 X, apply( Y, Y ) ) ) ] )
% 0.85/1.23 , clause( 107, [ =( apply( apply( apply( s, apply( b, X ) ), i ), Y ),
% 0.85/1.23 apply( X, apply( Y, Y ) ) ) ] )
% 0.85/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.85/1.23 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 109, [ =( apply( X, apply( Y, Y ) ), apply( apply( apply( s, apply(
% 0.85/1.23 b, X ) ), i ), Y ) ) ] )
% 0.85/1.23 , clause( 49, [ =( apply( apply( apply( s, apply( b, X ) ), i ), Y ), apply(
% 0.85/1.23 X, apply( Y, Y ) ) ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 110, [ ~( =( X, apply( 'fixed_pt', X ) ) ), 'fixed_point'( X ) ] )
% 0.85/1.23 , clause( 4, [ ~( =( apply( 'fixed_pt', X ), X ) ), 'fixed_point'( X ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 paramod(
% 0.85/1.23 clause( 111, [ ~( =( apply( X, X ), apply( apply( apply( s, apply( b,
% 0.85/1.23 'fixed_pt' ) ), i ), X ) ) ), 'fixed_point'( apply( X, X ) ) ] )
% 0.85/1.23 , clause( 109, [ =( apply( X, apply( Y, Y ) ), apply( apply( apply( s,
% 0.85/1.23 apply( b, X ) ), i ), Y ) ) ] )
% 0.85/1.23 , 0, clause( 110, [ ~( =( X, apply( 'fixed_pt', X ) ) ), 'fixed_point'( X )
% 0.85/1.23 ] )
% 0.85/1.23 , 0, 5, substitution( 0, [ :=( X, 'fixed_pt' ), :=( Y, X )] ),
% 0.85/1.23 substitution( 1, [ :=( X, apply( X, X ) )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 112, [ ~( =( apply( apply( apply( s, apply( b, 'fixed_pt' ) ), i )
% 0.85/1.23 , X ), apply( X, X ) ) ), 'fixed_point'( apply( X, X ) ) ] )
% 0.85/1.23 , clause( 111, [ ~( =( apply( X, X ), apply( apply( apply( s, apply( b,
% 0.85/1.23 'fixed_pt' ) ), i ), X ) ) ), 'fixed_point'( apply( X, X ) ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 65, [ ~( =( apply( apply( apply( s, apply( b, 'fixed_pt' ) ), i ),
% 0.85/1.23 X ), apply( X, X ) ) ), 'fixed_point'( apply( X, X ) ) ] )
% 0.85/1.23 , clause( 112, [ ~( =( apply( apply( apply( s, apply( b, 'fixed_pt' ) ), i
% 0.85/1.23 ), X ), apply( X, X ) ) ), 'fixed_point'( apply( X, X ) ) ] )
% 0.85/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.85/1.23 1 )] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqswap(
% 0.85/1.23 clause( 113, [ ~( =( apply( X, X ), apply( apply( apply( s, apply( b,
% 0.85/1.23 'fixed_pt' ) ), i ), X ) ) ), 'fixed_point'( apply( X, X ) ) ] )
% 0.85/1.23 , clause( 65, [ ~( =( apply( apply( apply( s, apply( b, 'fixed_pt' ) ), i )
% 0.85/1.23 , X ), apply( X, X ) ) ), 'fixed_point'( apply( X, X ) ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, X )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 eqrefl(
% 0.85/1.23 clause( 114, [ 'fixed_point'( apply( apply( apply( s, apply( b, 'fixed_pt'
% 0.85/1.23 ) ), i ), apply( apply( s, apply( b, 'fixed_pt' ) ), i ) ) ) ] )
% 0.85/1.23 , clause( 113, [ ~( =( apply( X, X ), apply( apply( apply( s, apply( b,
% 0.85/1.23 'fixed_pt' ) ), i ), X ) ) ), 'fixed_point'( apply( X, X ) ) ] )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, apply( apply( s, apply( b, 'fixed_pt' ) ), i
% 0.85/1.23 ) )] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 resolution(
% 0.85/1.23 clause( 115, [] )
% 0.85/1.23 , clause( 5, [ ~( 'fixed_point'( apply( apply( apply( s, apply( b, X ) ), i
% 0.85/1.23 ), apply( apply( s, apply( b, X ) ), i ) ) ) ) ] )
% 0.85/1.23 , 0, clause( 114, [ 'fixed_point'( apply( apply( apply( s, apply( b,
% 0.85/1.23 'fixed_pt' ) ), i ), apply( apply( s, apply( b, 'fixed_pt' ) ), i ) ) ) ]
% 0.85/1.23 )
% 0.85/1.23 , 0, substitution( 0, [ :=( X, 'fixed_pt' )] ), substitution( 1, [] )).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 subsumption(
% 0.85/1.23 clause( 68, [] )
% 0.85/1.23 , clause( 115, [] )
% 0.85/1.23 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 end.
% 0.85/1.23
% 0.85/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.85/1.23
% 0.85/1.23 Memory use:
% 0.85/1.23
% 0.85/1.23 space for terms: 1308
% 0.85/1.23 space for clauses: 8896
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 clauses generated: 681
% 0.85/1.23 clauses kept: 69
% 0.85/1.23 clauses selected: 19
% 0.85/1.23 clauses deleted: 1
% 0.85/1.23 clauses inuse deleted: 0
% 0.85/1.23
% 0.85/1.23 subsentry: 224
% 0.85/1.23 literals s-matched: 110
% 0.85/1.23 literals matched: 110
% 0.85/1.23 full subsumption: 0
% 0.85/1.23
% 0.85/1.23 checksum: -844233070
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 Bliksem ended
%------------------------------------------------------------------------------