TSTP Solution File: COL003-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL003-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Fri Jul 15 00:12:21 EDT 2022
% Result : Unsatisfiable 33.41s 33.84s
% Output : Refutation 33.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL003-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.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 04:06:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 33.41/33.84 *** allocated 10000 integers for termspace/termends
% 33.41/33.84 *** allocated 10000 integers for clauses
% 33.41/33.84 *** allocated 10000 integers for justifications
% 33.41/33.84 Bliksem 1.12
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 Automatic Strategy Selection
% 33.41/33.84
% 33.41/33.84 Clauses:
% 33.41/33.84 [
% 33.41/33.84 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 33.41/33.84 ],
% 33.41/33.84 [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ],
% 33.41/33.84 [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X, 'fixed_pt'
% 33.41/33.84 ) ) ) ), 'fixed_point'( X ) ],
% 33.41/33.84 [ ~( 'fixed_point'( apply( apply( b, apply( w, w ) ), apply( apply( b, w
% 33.41/33.84 ), apply( apply( b, b ), b ) ) ) ) ) ]
% 33.41/33.84 ] .
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 percentage equality = 0.600000, percentage horn = 1.000000
% 33.41/33.84 This is a problem with some equality
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 Options Used:
% 33.41/33.84
% 33.41/33.84 useres = 1
% 33.41/33.84 useparamod = 1
% 33.41/33.84 useeqrefl = 1
% 33.41/33.84 useeqfact = 1
% 33.41/33.84 usefactor = 1
% 33.41/33.84 usesimpsplitting = 0
% 33.41/33.84 usesimpdemod = 5
% 33.41/33.84 usesimpres = 3
% 33.41/33.84
% 33.41/33.84 resimpinuse = 1000
% 33.41/33.84 resimpclauses = 20000
% 33.41/33.84 substype = eqrewr
% 33.41/33.84 backwardsubs = 1
% 33.41/33.84 selectoldest = 5
% 33.41/33.84
% 33.41/33.84 litorderings [0] = split
% 33.41/33.84 litorderings [1] = extend the termordering, first sorting on arguments
% 33.41/33.84
% 33.41/33.84 termordering = kbo
% 33.41/33.84
% 33.41/33.84 litapriori = 0
% 33.41/33.84 termapriori = 1
% 33.41/33.84 litaposteriori = 0
% 33.41/33.84 termaposteriori = 0
% 33.41/33.84 demodaposteriori = 0
% 33.41/33.84 ordereqreflfact = 0
% 33.41/33.84
% 33.41/33.84 litselect = negord
% 33.41/33.84
% 33.41/33.84 maxweight = 15
% 33.41/33.84 maxdepth = 30000
% 33.41/33.84 maxlength = 115
% 33.41/33.84 maxnrvars = 195
% 33.41/33.84 excuselevel = 1
% 33.41/33.84 increasemaxweight = 1
% 33.41/33.84
% 33.41/33.84 maxselected = 10000000
% 33.41/33.84 maxnrclauses = 10000000
% 33.41/33.84
% 33.41/33.84 showgenerated = 0
% 33.41/33.84 showkept = 0
% 33.41/33.84 showselected = 0
% 33.41/33.84 showdeleted = 0
% 33.41/33.84 showresimp = 1
% 33.41/33.84 showstatus = 2000
% 33.41/33.84
% 33.41/33.84 prologoutput = 1
% 33.41/33.84 nrgoals = 5000000
% 33.41/33.84 totalproof = 1
% 33.41/33.84
% 33.41/33.84 Symbols occurring in the translation:
% 33.41/33.84
% 33.41/33.84 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 33.41/33.84 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 33.41/33.84 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 33.41/33.84 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 33.41/33.84 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 33.41/33.84 b [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 33.41/33.84 apply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 33.41/33.84 w [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 33.41/33.84 'fixed_pt' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 33.41/33.84 'fixed_point' [47, 1] (w:1, o:21, a:1, s:1, b:0).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 Starting Search:
% 33.41/33.84
% 33.41/33.84 Resimplifying inuse:
% 33.41/33.84 Done
% 33.41/33.84
% 33.41/33.84 Failed to find proof!
% 33.41/33.84 maxweight = 15
% 33.41/33.84 maxnrclauses = 10000000
% 33.41/33.84 Generated: 1218
% 33.41/33.84 Kept: 34
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 The strategy used was not complete!
% 33.41/33.84
% 33.41/33.84 Increased maxweight to 16
% 33.41/33.84
% 33.41/33.84 Starting Search:
% 33.41/33.84
% 33.41/33.84 Resimplifying inuse:
% 33.41/33.84 Done
% 33.41/33.84
% 33.41/33.84 Failed to find proof!
% 33.41/33.84 maxweight = 16
% 33.41/33.84 maxnrclauses = 10000000
% 33.41/33.84 Generated: 1224
% 33.41/33.84 Kept: 35
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 The strategy used was not complete!
% 33.41/33.84
% 33.41/33.84 Increased maxweight to 17
% 33.41/33.84
% 33.41/33.84 Starting Search:
% 33.41/33.84
% 33.41/33.84 Resimplifying inuse:
% 33.41/33.84 Done
% 33.41/33.84
% 33.41/33.84 Failed to find proof!
% 33.41/33.84 maxweight = 17
% 33.41/33.84 maxnrclauses = 10000000
% 33.41/33.84 Generated: 3948
% 33.41/33.84 Kept: 81
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 The strategy used was not complete!
% 33.41/33.84
% 33.41/33.84 Increased maxweight to 18
% 33.41/33.84
% 33.41/33.84 Starting Search:
% 33.41/33.84
% 33.41/33.84 Resimplifying inuse:
% 33.41/33.84 Done
% 33.41/33.84
% 33.41/33.84 Failed to find proof!
% 33.41/33.84 maxweight = 18
% 33.41/33.84 maxnrclauses = 10000000
% 33.41/33.84 Generated: 3969
% 33.41/33.84 Kept: 84
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 The strategy used was not complete!
% 33.41/33.84
% 33.41/33.84 Increased maxweight to 19
% 33.41/33.84
% 33.41/33.84 Starting Search:
% 33.41/33.84
% 33.41/33.84 Resimplifying inuse:
% 33.41/33.84 Done
% 33.41/33.84
% 33.41/33.84 Failed to find proof!
% 33.41/33.84 maxweight = 19
% 33.41/33.84 maxnrclauses = 10000000
% 33.41/33.84 Generated: 104418
% 33.41/33.84 Kept: 256
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 The strategy used was not complete!
% 33.41/33.84
% 33.41/33.84 Increased maxweight to 20
% 33.41/33.84
% 33.41/33.84 Starting Search:
% 33.41/33.84
% 33.41/33.84 Resimplifying inuse:
% 33.41/33.84 Done
% 33.41/33.84
% 33.41/33.84 Failed to find proof!
% 33.41/33.84 maxweight = 20
% 33.41/33.84 maxnrclauses = 10000000
% 33.41/33.84 Generated: 104485
% 33.41/33.84 Kept: 261
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 The strategy used was not complete!
% 33.41/33.84
% 33.41/33.84 Increased maxweight to 21
% 33.41/33.84
% 33.41/33.84 Starting Search:
% 33.41/33.84
% 33.41/33.84 Resimplifying inuse:
% 33.41/33.84 Done
% 33.41/33.84
% 33.41/33.84 Failed to find proof!
% 33.41/33.84 maxweight = 21
% 33.41/33.84 maxnrclauses = 10000000
% 33.41/33.84 Generated: 473595
% 33.41/33.84 Kept: 688
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 The strategy used was not complete!
% 33.41/33.84
% 33.41/33.84 Increased maxweight to 22
% 33.41/33.84
% 33.41/33.84 Starting Search:
% 33.41/33.84
% 33.41/33.84 Resimplifying inuse:
% 33.41/33.84 Done
% 33.41/33.84
% 33.41/33.84 Failed to find proof!
% 33.41/33.84 maxweight = 22
% 33.41/33.84 maxnrclauses = 10000000
% 33.41/33.84 Generated: 473623
% 33.41/33.84 Kept: 690
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 The strategy used was not complete!
% 33.41/33.84
% 33.41/33.84 Increased maxweight to 23
% 33.41/33.84
% 33.41/33.84 Starting Search:
% 33.41/33.84
% 33.41/33.84 Resimplifying inuse:
% 33.41/33.84 Done
% 33.41/33.84
% 33.41/33.84 Resimplifying inuse:
% 33.41/33.84 Done
% 33.41/33.84
% 33.41/33.84 Failed to find proof!
% 33.41/33.84 maxweight = 23
% 33.41/33.84 maxnrclauses = 10000000
% 33.41/33.84 Generated: 2239301
% 33.41/33.84 Kept: 1766
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 The strategy used was not complete!
% 33.41/33.84
% 33.41/33.84 Increased maxweight to 24
% 33.41/33.84
% 33.41/33.84 Starting Search:
% 33.41/33.84
% 33.41/33.84 Resimplifying inuse:
% 33.41/33.84 Done
% 33.41/33.84
% 33.41/33.84 Resimplifying inuse:
% 33.41/33.84 Done
% 33.41/33.84
% 33.41/33.84 Failed to find proof!
% 33.41/33.84 maxweight = 24
% 33.41/33.84 maxnrclauses = 10000000
% 33.41/33.84 Generated: 2239436
% 33.41/33.84 Kept: 1771
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 The strategy used was not complete!
% 33.41/33.84
% 33.41/33.84 Increased maxweight to 25
% 33.41/33.84
% 33.41/33.84 Starting Search:
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 Bliksems!, er is een bewijs:
% 33.41/33.84 % SZS status Unsatisfiable
% 33.41/33.84 % SZS output start Refutation
% 33.41/33.84
% 33.41/33.84 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 33.41/33.84 Z ) ) ) ] )
% 33.41/33.84 .
% 33.41/33.84 clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 33.41/33.84 .
% 33.41/33.84 clause( 2, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X,
% 33.41/33.84 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 33.41/33.84 .
% 33.41/33.84 clause( 3, [ ~( 'fixed_point'( apply( apply( b, apply( w, w ) ), apply(
% 33.41/33.84 apply( b, w ), apply( apply( b, b ), b ) ) ) ) ) ] )
% 33.41/33.84 .
% 33.41/33.84 clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ] )
% 33.41/33.84 .
% 33.41/33.84 clause( 18, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 33.41/33.84 , Y ) ) ) ] )
% 33.41/33.84 .
% 33.41/33.84 clause( 26, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y ),
% 33.41/33.84 Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 33.41/33.84 .
% 33.41/33.84 clause( 40, [ ~( =( apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 33.41/33.84 apply( b, apply( b, 'fixed_pt' ) ) ) ) ), apply( apply( w, w ), apply( w
% 33.41/33.84 , apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ] )
% 33.41/33.84 .
% 33.41/33.84 clause( 674, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b, apply(
% 33.41/33.84 b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 33.41/33.84 ) ) ) ] )
% 33.41/33.84 .
% 33.41/33.84 clause( 960, [] )
% 33.41/33.84 .
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 % SZS output end Refutation
% 33.41/33.84 found a proof!
% 33.41/33.84
% 33.41/33.84 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 33.41/33.84
% 33.41/33.84 initialclauses(
% 33.41/33.84 [ clause( 962, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 33.41/33.84 Y, Z ) ) ) ] )
% 33.41/33.84 , clause( 963, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 33.41/33.84 ] )
% 33.41/33.84 , clause( 964, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X
% 33.41/33.84 , 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 33.41/33.84 , clause( 965, [ ~( 'fixed_point'( apply( apply( b, apply( w, w ) ), apply(
% 33.41/33.84 apply( b, w ), apply( apply( b, b ), b ) ) ) ) ) ] )
% 33.41/33.84 ] ).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 subsumption(
% 33.41/33.84 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 33.41/33.84 Z ) ) ) ] )
% 33.41/33.84 , clause( 962, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 33.41/33.84 Y, Z ) ) ) ] )
% 33.41/33.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 33.41/33.84 permutation( 0, [ ==>( 0, 0 )] ) ).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 subsumption(
% 33.41/33.84 clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 33.41/33.84 , clause( 963, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 33.41/33.84 ] )
% 33.41/33.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 33.41/33.84 )] ) ).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 eqswap(
% 33.41/33.84 clause( 971, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X
% 33.41/33.84 , 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 33.41/33.84 , clause( 964, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X
% 33.41/33.84 , 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 33.41/33.84 , 0, substitution( 0, [ :=( X, X )] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 subsumption(
% 33.41/33.84 clause( 2, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X,
% 33.41/33.84 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 33.41/33.84 , clause( 971, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply(
% 33.41/33.84 X, 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 33.41/33.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 33.41/33.84 1 )] ) ).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 subsumption(
% 33.41/33.84 clause( 3, [ ~( 'fixed_point'( apply( apply( b, apply( w, w ) ), apply(
% 33.41/33.84 apply( b, w ), apply( apply( b, b ), b ) ) ) ) ) ] )
% 33.41/33.84 , clause( 965, [ ~( 'fixed_point'( apply( apply( b, apply( w, w ) ), apply(
% 33.41/33.84 apply( b, w ), apply( apply( b, b ), b ) ) ) ) ) ] )
% 33.41/33.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 eqswap(
% 33.41/33.84 clause( 975, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 33.41/33.84 )
% 33.41/33.84 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 33.41/33.84 )
% 33.41/33.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 eqswap(
% 33.41/33.84 clause( 976, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 33.41/33.84 )
% 33.41/33.84 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 33.41/33.84 )
% 33.41/33.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 paramod(
% 33.41/33.84 clause( 979, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) ) ]
% 33.41/33.84 )
% 33.41/33.84 , clause( 975, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 33.41/33.84 ] )
% 33.41/33.84 , 0, clause( 976, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y )
% 33.41/33.84 ) ] )
% 33.41/33.84 , 0, 6, substitution( 0, [ :=( X, w ), :=( Y, X )] ), substitution( 1, [
% 33.41/33.84 :=( X, X ), :=( Y, X )] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 eqswap(
% 33.41/33.84 clause( 985, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 33.41/33.84 )
% 33.41/33.84 , clause( 979, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 33.41/33.84 ] )
% 33.41/33.84 , 0, substitution( 0, [ :=( X, X )] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 subsumption(
% 33.41/33.84 clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ] )
% 33.41/33.84 , clause( 985, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) )
% 33.41/33.84 ] )
% 33.41/33.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 eqswap(
% 33.41/33.84 clause( 986, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 33.41/33.84 ), Z ) ) ] )
% 33.41/33.84 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 33.41/33.84 , Z ) ) ) ] )
% 33.41/33.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 eqswap(
% 33.41/33.84 clause( 987, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 33.41/33.84 )
% 33.41/33.84 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 33.41/33.84 )
% 33.41/33.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 paramod(
% 33.41/33.84 clause( 990, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X )
% 33.41/33.84 ), Y ) ) ] )
% 33.41/33.84 , clause( 987, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 33.41/33.84 ] )
% 33.41/33.84 , 0, clause( 986, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 33.41/33.84 ), Y ), Z ) ) ] )
% 33.41/33.84 , 0, 6, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 33.41/33.84 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 eqswap(
% 33.41/33.84 clause( 994, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 33.41/33.84 , Y ) ) ) ] )
% 33.41/33.84 , clause( 990, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X
% 33.41/33.84 ) ), Y ) ) ] )
% 33.41/33.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 subsumption(
% 33.41/33.84 clause( 18, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 33.41/33.84 , Y ) ) ) ] )
% 33.41/33.84 , clause( 994, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply(
% 33.41/33.84 Y, Y ) ) ) ] )
% 33.41/33.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 33.41/33.84 )] ) ).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 eqswap(
% 33.41/33.84 clause( 996, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X )
% 33.41/33.84 ), Y ) ) ] )
% 33.41/33.84 , clause( 18, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply(
% 33.41/33.84 Y, Y ) ) ) ] )
% 33.41/33.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 eqswap(
% 33.41/33.84 clause( 997, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 33.41/33.84 ), Z ) ) ] )
% 33.41/33.84 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 33.41/33.84 , Z ) ) ) ] )
% 33.41/33.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 paramod(
% 33.41/33.84 clause( 1001, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 33.41/33.84 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 33.41/33.84 , clause( 996, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X
% 33.41/33.84 ) ), Y ) ) ] )
% 33.41/33.84 , 0, clause( 997, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 33.41/33.84 ), Y ), Z ) ) ] )
% 33.41/33.84 , 0, 9, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 33.41/33.84 substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Y ) ), :=( Z, Z )] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 eqswap(
% 33.41/33.84 clause( 1009, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 33.41/33.84 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 33.41/33.84 , clause( 1001, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 33.41/33.84 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 33.41/33.84 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 subsumption(
% 33.41/33.84 clause( 26, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y ),
% 33.41/33.84 Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 33.41/33.84 , clause( 1009, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y
% 33.41/33.84 ), Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 33.41/33.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 33.41/33.84 permutation( 0, [ ==>( 0, 0 )] ) ).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 eqswap(
% 33.41/33.84 clause( 1012, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply( X,
% 33.41/33.84 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 33.41/33.84 , clause( 2, [ ~( =( apply( 'fixed_pt', apply( X, 'fixed_pt' ) ), apply( X
% 33.41/33.84 , 'fixed_pt' ) ) ), 'fixed_point'( X ) ] )
% 33.41/33.84 , 0, substitution( 0, [ :=( X, X )] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 resolution(
% 33.41/33.84 clause( 1016, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply( apply(
% 33.41/33.84 b, w ), apply( apply( b, b ), b ) ) ), 'fixed_pt' ), apply( 'fixed_pt',
% 33.41/33.84 apply( apply( apply( b, apply( w, w ) ), apply( apply( b, w ), apply(
% 33.41/33.84 apply( b, b ), b ) ) ), 'fixed_pt' ) ) ) ) ] )
% 33.41/33.84 , clause( 3, [ ~( 'fixed_point'( apply( apply( b, apply( w, w ) ), apply(
% 33.41/33.84 apply( b, w ), apply( apply( b, b ), b ) ) ) ) ) ] )
% 33.41/33.84 , 0, clause( 1012, [ ~( =( apply( X, 'fixed_pt' ), apply( 'fixed_pt', apply(
% 33.41/33.84 X, 'fixed_pt' ) ) ) ), 'fixed_point'( X ) ] )
% 33.41/33.84 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, apply( apply( b,
% 33.41/33.84 apply( w, w ) ), apply( apply( b, w ), apply( apply( b, b ), b ) ) ) )] )
% 33.41/33.84 ).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 paramod(
% 33.41/33.84 clause( 1018, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply( apply(
% 33.41/33.84 b, w ), apply( apply( b, b ), b ) ) ), 'fixed_pt' ), apply( 'fixed_pt',
% 33.41/33.84 apply( apply( w, w ), apply( apply( apply( b, w ), apply( apply( b, b ),
% 33.41/33.84 b ) ), 'fixed_pt' ) ) ) ) ) ] )
% 33.41/33.84 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 33.41/33.84 , Z ) ) ) ] )
% 33.41/33.84 , 0, clause( 1016, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply(
% 33.41/33.84 apply( b, w ), apply( apply( b, b ), b ) ) ), 'fixed_pt' ), apply(
% 33.41/33.84 'fixed_pt', apply( apply( apply( b, apply( w, w ) ), apply( apply( b, w )
% 33.41/33.84 , apply( apply( b, b ), b ) ) ), 'fixed_pt' ) ) ) ) ] )
% 33.41/33.84 , 0, 21, substitution( 0, [ :=( X, apply( w, w ) ), :=( Y, apply( apply( b
% 33.41/33.84 , w ), apply( apply( b, b ), b ) ) ), :=( Z, 'fixed_pt' )] ),
% 33.41/33.84 substitution( 1, [] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 paramod(
% 33.41/33.84 clause( 1030, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply( apply(
% 33.41/33.84 b, w ), apply( apply( b, b ), b ) ) ), 'fixed_pt' ), apply( 'fixed_pt',
% 33.41/33.84 apply( apply( w, w ), apply( w, apply( apply( apply( b, b ), b ),
% 33.41/33.84 'fixed_pt' ) ) ) ) ) ) ] )
% 33.41/33.84 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 33.41/33.84 , Z ) ) ) ] )
% 33.41/33.84 , 0, clause( 1018, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply(
% 33.41/33.84 apply( b, w ), apply( apply( b, b ), b ) ) ), 'fixed_pt' ), apply(
% 33.41/33.84 'fixed_pt', apply( apply( w, w ), apply( apply( apply( b, w ), apply(
% 33.41/33.84 apply( b, b ), b ) ), 'fixed_pt' ) ) ) ) ) ] )
% 33.41/33.84 , 0, 25, substitution( 0, [ :=( X, w ), :=( Y, apply( apply( b, b ), b ) )
% 33.41/33.84 , :=( Z, 'fixed_pt' )] ), substitution( 1, [] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 paramod(
% 33.41/33.84 clause( 1041, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply( apply(
% 33.41/33.84 b, w ), apply( apply( b, b ), b ) ) ), 'fixed_pt' ), apply( 'fixed_pt',
% 33.41/33.84 apply( apply( w, w ), apply( w, apply( b, apply( b, 'fixed_pt' ) ) ) ) )
% 33.41/33.84 ) ) ] )
% 33.41/33.84 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 33.41/33.84 , Z ) ) ) ] )
% 33.41/33.84 , 0, clause( 1030, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply(
% 33.41/33.84 apply( b, w ), apply( apply( b, b ), b ) ) ), 'fixed_pt' ), apply(
% 33.41/33.84 'fixed_pt', apply( apply( w, w ), apply( w, apply( apply( apply( b, b ),
% 33.41/33.84 b ), 'fixed_pt' ) ) ) ) ) ) ] )
% 33.41/33.84 , 0, 27, substitution( 0, [ :=( X, b ), :=( Y, b ), :=( Z, 'fixed_pt' )] )
% 33.41/33.84 , substitution( 1, [] )).
% 33.41/33.84
% 33.41/33.84
% 33.41/33.84 paramod(
% 33.41/33.84 clause( 1042, [ ~( =( apply( apply( w, w ), apply( apply( apply( b, w ),
% 33.41/33.84 apply( apply( b, b ), b ) ), 'fixed_pt' ) ), apply( 'fixed_pt', apply(
% 33.41/33.84 apply( w, w ), apply( w, apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ]
% 33.41/33.85 )
% 33.41/33.85 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 33.41/33.85 , Z ) ) ) ] )
% 33.41/33.85 , 0, clause( 1041, [ ~( =( apply( apply( apply( b, apply( w, w ) ), apply(
% 33.41/33.85 apply( b, w ), apply( apply( b, b ), b ) ) ), 'fixed_pt' ), apply(
% 33.41/33.85 'fixed_pt', apply( apply( w, w ), apply( w, apply( b, apply( b,
% 33.41/33.85 'fixed_pt' ) ) ) ) ) ) ) ] )
% 33.41/33.85 , 0, 2, substitution( 0, [ :=( X, apply( w, w ) ), :=( Y, apply( apply( b,
% 33.41/33.85 w ), apply( apply( b, b ), b ) ) ), :=( Z, 'fixed_pt' )] ),
% 33.41/33.85 substitution( 1, [] )).
% 33.41/33.85
% 33.41/33.85
% 33.41/33.85 paramod(
% 33.41/33.85 clause( 1043, [ ~( =( apply( apply( w, w ), apply( w, apply( apply( apply(
% 33.41/33.85 b, b ), b ), 'fixed_pt' ) ) ), apply( 'fixed_pt', apply( apply( w, w ),
% 33.41/33.85 apply( w, apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ] )
% 33.41/33.85 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 33.41/33.85 , Z ) ) ) ] )
% 33.41/33.85 , 0, clause( 1042, [ ~( =( apply( apply( w, w ), apply( apply( apply( b, w
% 33.41/33.85 ), apply( apply( b, b ), b ) ), 'fixed_pt' ) ), apply( 'fixed_pt', apply(
% 33.41/33.85 apply( w, w ), apply( w, apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ]
% 33.41/33.85 )
% 33.41/33.85 , 0, 6, substitution( 0, [ :=( X, w ), :=( Y, apply( apply( b, b ), b ) ),
% 33.41/33.85 :=( Z, 'fixed_pt' )] ), substitution( 1, [] )).
% 33.41/33.85
% 33.41/33.85
% 33.41/33.85 paramod(
% 33.41/33.85 clause( 1044, [ ~( =( apply( apply( w, w ), apply( w, apply( b, apply( b,
% 33.41/33.85 'fixed_pt' ) ) ) ), apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 33.41/33.85 apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ] )
% 33.41/33.85 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 33.41/33.85 , Z ) ) ) ] )
% 33.41/33.85 , 0, clause( 1043, [ ~( =( apply( apply( w, w ), apply( w, apply( apply(
% 33.41/33.85 apply( b, b ), b ), 'fixed_pt' ) ) ), apply( 'fixed_pt', apply( apply( w
% 33.41/33.85 , w ), apply( w, apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ] )
% 33.41/33.85 , 0, 8, substitution( 0, [ :=( X, b ), :=( Y, b ), :=( Z, 'fixed_pt' )] ),
% 33.41/33.85 substitution( 1, [] )).
% 33.41/33.85
% 33.41/33.85
% 33.41/33.85 eqswap(
% 33.41/33.85 clause( 1050, [ ~( =( apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 33.41/33.85 apply( b, apply( b, 'fixed_pt' ) ) ) ) ), apply( apply( w, w ), apply( w
% 33.41/33.85 , apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ] )
% 33.41/33.85 , clause( 1044, [ ~( =( apply( apply( w, w ), apply( w, apply( b, apply( b
% 33.41/33.85 , 'fixed_pt' ) ) ) ), apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 33.41/33.85 apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ) ] )
% 33.41/33.85 , 0, substitution( 0, [] )).
% 33.41/33.85
% 33.41/33.85
% 33.41/33.85 subsumption(
% 33.41/33.85 clause( 40, [ ~( =( apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 33.41/33.85 apply( b, apply( b, 'fixed_pt' ) ) ) ) ), apply( apply( w, w ), apply( w
% 33.41/33.85 , apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ] )
% 33.41/33.85 , clause( 1050, [ ~( =( apply( 'fixed_pt', apply( apply( w, w ), apply( w,
% 33.41/33.85 apply( b, apply( b, 'fixed_pt' ) ) ) ) ), apply( apply( w, w ), apply( w
% 33.41/33.85 , apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ] )
% 33.41/33.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 33.41/33.85
% 33.41/33.85
% 33.41/33.85 eqswap(
% 33.41/33.85 clause( 1054, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) ) ]
% 33.41/33.85 )
% 33.41/33.85 , clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 33.41/33.85 )
% 33.41/33.85 , 0, substitution( 0, [ :=( X, X )] )).
% 33.41/33.85
% 33.41/33.85
% 33.41/33.85 eqswap(
% 33.41/33.85 clause( 1055, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 33.41/33.85 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 33.41/33.85 , clause( 26, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 33.41/33.85 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 33.41/33.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 33.41/33.85
% 33.41/33.85
% 33.41/33.85 paramod(
% 33.41/33.85 clause( 1058, [ =( apply( X, apply( apply( apply( w, apply( b, apply( b, X
% 33.41/33.85 ) ) ), apply( w, apply( b, apply( b, X ) ) ) ), apply( w, apply( b,
% 33.41/33.85 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 33.41/33.85 , X ) ) ) ) ) ] )
% 33.41/33.85 , clause( 1054, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 33.41/33.85 ] )
% 33.41/33.85 , 0, clause( 1055, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 33.41/33.85 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 33.41/33.85 , 0, 26, substitution( 0, [ :=( X, apply( w, apply( b, apply( b, X ) ) ) )] )
% 33.41/33.85 , substitution( 1, [ :=( X, X ), :=( Y, apply( w, apply( b, apply( b, X )
% 33.41/33.85 ) ) ), :=( Z, apply( w, apply( b, apply( b, X ) ) ) )] )).
% 33.41/33.85
% 33.41/33.85
% 33.41/33.85 paramod(
% 33.41/33.85 clause( 1059, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b,
% 33.41/33.85 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 33.41/33.85 , X ) ) ) ) ) ] )
% 33.41/33.85 , clause( 1054, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 33.41/33.85 ] )
% 33.41/33.85 , 0, clause( 1058, [ =( apply( X, apply( apply( apply( w, apply( b, apply(
% 33.41/33.85 b, X ) ) ), apply( w, apply( b, apply( b, X ) ) ) ), apply( w, apply( b,
% 33.41/33.85 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 33.41/33.85 , X ) ) ) ) ) ] )
% 33.41/33.85 , 0, 3, substitution( 0, [ :=( X, apply( w, apply( b, apply( b, X ) ) ) )] )
% 33.41/33.85 , substitution( 1, [ :=( X, X )] )).
% 33.41/33.85
% 33.41/33.85
% 33.41/33.85 subsumption(
% 33.41/33.85 clause( 674, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b, apply(
% 33.41/33.85 b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 33.41/33.85 ) ) ) ] )
% 33.41/33.85 , clause( 1059, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b,
% 33.41/33.85 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 33.41/33.85 , X ) ) ) ) ) ] )
% 33.41/33.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 33.41/33.85
% 33.41/33.85
% 33.41/33.85 paramod(
% 33.41/33.85 clause( 1066, [ ~( =( apply( apply( w, w ), apply( w, apply( b, apply( b,
% 33.41/33.85 'fixed_pt' ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b,
% 33.41/33.85 'fixed_pt' ) ) ) ) ) ) ] )
% 33.41/33.85 , clause( 674, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b,
% 33.41/33.85 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 33.41/33.85 , X ) ) ) ) ) ] )
% 33.41/33.85 , 0, clause( 40, [ ~( =( apply( 'fixed_pt', apply( apply( w, w ), apply( w
% 33.41/33.85 , apply( b, apply( b, 'fixed_pt' ) ) ) ) ), apply( apply( w, w ), apply(
% 33.41/33.85 w, apply( b, apply( b, 'fixed_pt' ) ) ) ) ) ) ] )
% 33.41/33.85 , 0, 2, substitution( 0, [ :=( X, 'fixed_pt' )] ), substitution( 1, [] )
% 33.41/33.85 ).
% 33.41/33.85
% 33.41/33.85
% 33.41/33.85 eqrefl(
% 33.41/33.85 clause( 1067, [] )
% 33.41/33.85 , clause( 1066, [ ~( =( apply( apply( w, w ), apply( w, apply( b, apply( b
% 33.41/33.85 , 'fixed_pt' ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 33.41/33.85 , 'fixed_pt' ) ) ) ) ) ) ] )
% 33.41/33.85 , 0, substitution( 0, [] )).
% 33.41/33.85
% 33.41/33.85
% 33.41/33.85 subsumption(
% 33.41/33.85 clause( 960, [] )
% 33.41/33.85 , clause( 1067, [] )
% 33.41/33.85 , substitution( 0, [] ), permutation( 0, [] ) ).
% 33.41/33.85
% 33.41/33.85
% 33.41/33.85 end.
% 33.41/33.85
% 33.41/33.85 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 33.41/33.85
% 33.41/33.85 Memory use:
% 33.41/33.85
% 33.41/33.85 space for terms: 21638
% 33.41/33.85 space for clauses: 134616
% 33.41/33.85
% 33.41/33.85
% 33.41/33.85 clauses generated: 10468
% 33.41/33.85 clauses kept: 961
% 33.41/33.85 clauses selected: 95
% 33.41/33.85 clauses deleted: 26
% 33.41/33.85 clauses inuse deleted: 0
% 33.41/33.85
% 33.41/33.85 subsentry: 2888
% 33.41/33.85 literals s-matched: 2238
% 33.41/33.85 literals matched: 2230
% 33.41/33.85 full subsumption: 0
% 33.41/33.85
% 33.41/33.85 checksum: 1741004637
% 33.41/33.85
% 33.41/33.85
% 33.41/33.85 Bliksem ended
%------------------------------------------------------------------------------