TSTP Solution File: COL003-13 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL003-13 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 0.72s 1.13s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COL003-13 : TPTP v8.1.0. Released v2.1.0.
% 0.00/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue May 31 14:41:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.13 *** allocated 10000 integers for termspace/termends
% 0.72/1.13 *** allocated 10000 integers for clauses
% 0.72/1.13 *** allocated 10000 integers for justifications
% 0.72/1.13 Bliksem 1.12
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Automatic Strategy Selection
% 0.72/1.13
% 0.72/1.13 Clauses:
% 0.72/1.13 [
% 0.72/1.13 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.72/1.13 ],
% 0.72/1.13 [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ],
% 0.72/1.13 [ =( 'strong_fixed_point', apply( apply( b, apply( w, w ) ), apply(
% 0.72/1.13 apply( b, apply( apply( b, w ), b ) ), b ) ) ) ],
% 0.72/1.13 [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply( 'fixed_pt',
% 0.72/1.13 apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ]
% 0.72/1.13 ] .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.13 This is a pure equality problem
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Options Used:
% 0.72/1.13
% 0.72/1.13 useres = 1
% 0.72/1.13 useparamod = 1
% 0.72/1.13 useeqrefl = 1
% 0.72/1.13 useeqfact = 1
% 0.72/1.13 usefactor = 1
% 0.72/1.13 usesimpsplitting = 0
% 0.72/1.13 usesimpdemod = 5
% 0.72/1.13 usesimpres = 3
% 0.72/1.13
% 0.72/1.13 resimpinuse = 1000
% 0.72/1.13 resimpclauses = 20000
% 0.72/1.13 substype = eqrewr
% 0.72/1.13 backwardsubs = 1
% 0.72/1.13 selectoldest = 5
% 0.72/1.13
% 0.72/1.13 litorderings [0] = split
% 0.72/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.13
% 0.72/1.13 termordering = kbo
% 0.72/1.13
% 0.72/1.13 litapriori = 0
% 0.72/1.13 termapriori = 1
% 0.72/1.13 litaposteriori = 0
% 0.72/1.13 termaposteriori = 0
% 0.72/1.13 demodaposteriori = 0
% 0.72/1.13 ordereqreflfact = 0
% 0.72/1.13
% 0.72/1.13 litselect = negord
% 0.72/1.13
% 0.72/1.13 maxweight = 15
% 0.72/1.13 maxdepth = 30000
% 0.72/1.13 maxlength = 115
% 0.72/1.13 maxnrvars = 195
% 0.72/1.13 excuselevel = 1
% 0.72/1.13 increasemaxweight = 1
% 0.72/1.13
% 0.72/1.13 maxselected = 10000000
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13
% 0.72/1.13 showgenerated = 0
% 0.72/1.13 showkept = 0
% 0.72/1.13 showselected = 0
% 0.72/1.13 showdeleted = 0
% 0.72/1.13 showresimp = 1
% 0.72/1.13 showstatus = 2000
% 0.72/1.13
% 0.72/1.13 prologoutput = 1
% 0.72/1.13 nrgoals = 5000000
% 0.72/1.13 totalproof = 1
% 0.72/1.13
% 0.72/1.13 Symbols occurring in the translation:
% 0.72/1.13
% 0.72/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.13 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.13 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.72/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 b [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.13 apply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.13 w [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.13 'strong_fixed_point' [45, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.72/1.13 'fixed_pt' [46, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13 Resimplifying inuse:
% 0.72/1.13 Done
% 0.72/1.13
% 0.72/1.13 Failed to find proof!
% 0.72/1.13 maxweight = 15
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13 Generated: 1073
% 0.72/1.13 Kept: 27
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 The strategy used was not complete!
% 0.72/1.13
% 0.72/1.13 Increased maxweight to 16
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13 Resimplifying inuse:
% 0.72/1.13 Done
% 0.72/1.13
% 0.72/1.13 Failed to find proof!
% 0.72/1.13 maxweight = 16
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13 Generated: 1073
% 0.72/1.13 Kept: 27
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 The strategy used was not complete!
% 0.72/1.13
% 0.72/1.13 Increased maxweight to 17
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13 Resimplifying inuse:
% 0.72/1.13 Done
% 0.72/1.13
% 0.72/1.13 Failed to find proof!
% 0.72/1.13 maxweight = 17
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13 Generated: 3656
% 0.72/1.13 Kept: 73
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 The strategy used was not complete!
% 0.72/1.13
% 0.72/1.13 Increased maxweight to 18
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13 Resimplifying inuse:
% 0.72/1.13 Done
% 0.72/1.13
% 0.72/1.13 Failed to find proof!
% 0.72/1.13 maxweight = 18
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13 Generated: 3656
% 0.72/1.13 Kept: 73
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 The strategy used was not complete!
% 0.72/1.13
% 0.72/1.13 Increased maxweight to 19
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksems!, er is een bewijs:
% 0.72/1.13 % SZS status Unsatisfiable
% 0.72/1.13 % SZS output start Refutation
% 0.72/1.13
% 0.72/1.13 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.72/1.13 Z ) ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 2, [ =( apply( apply( b, apply( w, w ) ), apply( apply( b, apply(
% 0.72/1.13 apply( b, w ), b ) ), b ) ), 'strong_fixed_point' ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.72/1.13 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 11, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 0.72/1.13 , Y ) ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 17, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y ),
% 0.72/1.13 Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 25, [ =( apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 0.72/1.13 ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 138, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.72/1.13 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 .
% 0.72/1.13 clause( 143, [] )
% 0.72/1.13 .
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 % SZS output end Refutation
% 0.72/1.13 found a proof!
% 0.72/1.13
% 0.72/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.13
% 0.72/1.13 initialclauses(
% 0.72/1.13 [ clause( 145, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.72/1.13 Y, Z ) ) ) ] )
% 0.72/1.13 , clause( 146, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 0.72/1.13 ] )
% 0.72/1.13 , clause( 147, [ =( 'strong_fixed_point', apply( apply( b, apply( w, w ) )
% 0.72/1.13 , apply( apply( b, apply( apply( b, w ), b ) ), b ) ) ) ] )
% 0.72/1.13 , clause( 148, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.72/1.13 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.72/1.13 ] ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.72/1.13 Z ) ) ) ] )
% 0.72/1.13 , clause( 145, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.72/1.13 Y, Z ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 0.72/1.13 , clause( 146, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 0.72/1.13 ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 154, [ =( apply( apply( b, apply( w, w ) ), apply( apply( b, apply(
% 0.72/1.13 apply( b, w ), b ) ), b ) ), 'strong_fixed_point' ) ] )
% 0.72/1.13 , clause( 147, [ =( 'strong_fixed_point', apply( apply( b, apply( w, w ) )
% 0.72/1.13 , apply( apply( b, apply( apply( b, w ), b ) ), b ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 2, [ =( apply( apply( b, apply( w, w ) ), apply( apply( b, apply(
% 0.72/1.13 apply( b, w ), b ) ), b ) ), 'strong_fixed_point' ) ] )
% 0.72/1.13 , clause( 154, [ =( apply( apply( b, apply( w, w ) ), apply( apply( b,
% 0.72/1.13 apply( apply( b, w ), b ) ), b ) ), 'strong_fixed_point' ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 158, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.72/1.13 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.72/1.13 , clause( 148, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.72/1.13 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.72/1.13 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.72/1.13 , clause( 158, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.72/1.13 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 159, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 160, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 163, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 159, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, clause( 160, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y )
% 0.72/1.13 ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, w ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.13 :=( X, X ), :=( Y, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 169, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 163, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ] )
% 0.72/1.13 , clause( 169, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) )
% 0.72/1.13 ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 170, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.72/1.13 , Z ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 171, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 174, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X )
% 0.72/1.13 ), Y ) ) ] )
% 0.72/1.13 , clause( 171, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, clause( 170, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.72/1.13 ), Y ), Z ) ) ] )
% 0.72/1.13 , 0, 6, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 178, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 0.72/1.13 , Y ) ) ) ] )
% 0.72/1.13 , clause( 174, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X
% 0.72/1.13 ) ), Y ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 11, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply( Y
% 0.72/1.13 , Y ) ) ) ] )
% 0.72/1.13 , clause( 178, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply(
% 0.72/1.13 Y, Y ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.13 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 180, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X )
% 0.72/1.13 ), Y ) ) ] )
% 0.72/1.13 , clause( 11, [ =( apply( apply( w, apply( b, X ) ), Y ), apply( X, apply(
% 0.72/1.13 Y, Y ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 181, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.72/1.13 , Z ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 185, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.72/1.13 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.72/1.13 , clause( 180, [ =( apply( X, apply( Y, Y ) ), apply( apply( w, apply( b, X
% 0.72/1.13 ) ), Y ) ) ] )
% 0.72/1.13 , 0, clause( 181, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.72/1.13 ), Y ), Z ) ) ] )
% 0.72/1.13 , 0, 9, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 0.72/1.13 substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Y ) ), :=( Z, Z )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 193, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 0.72/1.13 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.72/1.13 , clause( 185, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.72/1.13 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 17, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y ),
% 0.72/1.13 Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.72/1.13 , clause( 193, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y
% 0.72/1.13 ), Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 197, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.72/1.13 ), Z ) ) ] )
% 0.72/1.13 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.72/1.13 , Z ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 202, [ =( apply( apply( w, w ), apply( apply( apply( b, apply(
% 0.72/1.13 apply( b, w ), b ) ), b ), X ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 , clause( 2, [ =( apply( apply( b, apply( w, w ) ), apply( apply( b, apply(
% 0.72/1.13 apply( b, w ), b ) ), b ) ), 'strong_fixed_point' ) ] )
% 0.72/1.13 , 0, clause( 197, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.72/1.13 ), Y ), Z ) ) ] )
% 0.72/1.13 , 0, 17, substitution( 0, [] ), substitution( 1, [ :=( X, apply( w, w ) ),
% 0.72/1.13 :=( Y, apply( apply( b, apply( apply( b, w ), b ) ), b ) ), :=( Z, X )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 203, [ =( apply( apply( w, w ), apply( apply( apply( b, w ), b ),
% 0.72/1.13 apply( b, X ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.72/1.13 , Z ) ) ) ] )
% 0.72/1.13 , 0, clause( 202, [ =( apply( apply( w, w ), apply( apply( apply( b, apply(
% 0.72/1.13 apply( b, w ), b ) ), b ), X ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 , 0, 5, substitution( 0, [ :=( X, apply( apply( b, w ), b ) ), :=( Y, b ),
% 0.72/1.13 :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 205, [ =( apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 0.72/1.13 ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.72/1.13 , Z ) ) ) ] )
% 0.72/1.13 , 0, clause( 203, [ =( apply( apply( w, w ), apply( apply( apply( b, w ), b
% 0.72/1.13 ), apply( b, X ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 , 0, 5, substitution( 0, [ :=( X, w ), :=( Y, b ), :=( Z, apply( b, X ) )] )
% 0.72/1.13 , substitution( 1, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 25, [ =( apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 0.72/1.13 ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 , clause( 205, [ =( apply( apply( w, w ), apply( w, apply( b, apply( b, X )
% 0.72/1.13 ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 207, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , clause( 4, [ =( apply( apply( w, w ), X ), apply( apply( X, X ), X ) ) ]
% 0.72/1.13 )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 208, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.72/1.13 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.72/1.13 , clause( 17, [ =( apply( apply( apply( w, apply( b, apply( b, X ) ) ), Y )
% 0.72/1.13 , Z ), apply( X, apply( apply( Y, Y ), Z ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 212, [ =( apply( X, apply( apply( apply( w, apply( b, apply( b, X )
% 0.72/1.13 ) ), apply( w, apply( b, apply( b, X ) ) ) ), apply( w, apply( b, apply(
% 0.72/1.13 b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 0.72/1.13 ) ) ) ] )
% 0.72/1.13 , clause( 207, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, clause( 208, [ =( apply( X, apply( apply( Y, Y ), Z ) ), apply( apply(
% 0.72/1.13 apply( w, apply( b, apply( b, X ) ) ), Y ), Z ) ) ] )
% 0.72/1.13 , 0, 26, substitution( 0, [ :=( X, apply( w, apply( b, apply( b, X ) ) ) )] )
% 0.72/1.13 , substitution( 1, [ :=( X, X ), :=( Y, apply( w, apply( b, apply( b, X )
% 0.72/1.13 ) ) ), :=( Z, apply( w, apply( b, apply( b, X ) ) ) )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 213, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b, apply(
% 0.72/1.13 b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b, X ) )
% 0.72/1.13 ) ) ) ] )
% 0.72/1.13 , clause( 207, [ =( apply( apply( X, X ), X ), apply( apply( w, w ), X ) )
% 0.72/1.13 ] )
% 0.72/1.13 , 0, clause( 212, [ =( apply( X, apply( apply( apply( w, apply( b, apply( b
% 0.72/1.13 , X ) ) ), apply( w, apply( b, apply( b, X ) ) ) ), apply( w, apply( b,
% 0.72/1.13 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 0.72/1.13 , X ) ) ) ) ) ] )
% 0.72/1.13 , 0, 3, substitution( 0, [ :=( X, apply( w, apply( b, apply( b, X ) ) ) )] )
% 0.72/1.13 , substitution( 1, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 217, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b, apply(
% 0.72/1.13 b, X ) ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 , clause( 25, [ =( apply( apply( w, w ), apply( w, apply( b, apply( b, X )
% 0.72/1.13 ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 , 0, clause( 213, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b,
% 0.72/1.13 apply( b, X ) ) ) ) ), apply( apply( w, w ), apply( w, apply( b, apply( b
% 0.72/1.13 , X ) ) ) ) ) ] )
% 0.72/1.13 , 0, 14, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 paramod(
% 0.72/1.13 clause( 218, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.72/1.13 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 , clause( 25, [ =( apply( apply( w, w ), apply( w, apply( b, apply( b, X )
% 0.72/1.13 ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 , 0, clause( 217, [ =( apply( X, apply( apply( w, w ), apply( w, apply( b,
% 0.72/1.13 apply( b, X ) ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.13 ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 138, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.72/1.13 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 , clause( 218, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.72/1.13 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 222, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.72/1.13 'strong_fixed_point', X ) ) ) ] )
% 0.72/1.13 , clause( 138, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.72/1.13 'strong_fixed_point', X ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 eqswap(
% 0.72/1.13 clause( 223, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.72/1.13 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.72/1.13 , clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.72/1.13 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 resolution(
% 0.72/1.13 clause( 224, [] )
% 0.72/1.13 , clause( 223, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.72/1.13 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.72/1.13 , 0, clause( 222, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.72/1.13 'strong_fixed_point', X ) ) ) ] )
% 0.72/1.13 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'fixed_pt' )] )).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 subsumption(
% 0.72/1.13 clause( 143, [] )
% 0.72/1.13 , clause( 224, [] )
% 0.72/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 end.
% 0.72/1.13
% 0.72/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.13
% 0.72/1.13 Memory use:
% 0.72/1.13
% 0.72/1.13 space for terms: 2625
% 0.72/1.13 space for clauses: 18601
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 clauses generated: 2660
% 0.72/1.13 clauses kept: 144
% 0.72/1.13 clauses selected: 38
% 0.72/1.13 clauses deleted: 4
% 0.72/1.13 clauses inuse deleted: 0
% 0.72/1.13
% 0.72/1.13 subsentry: 694
% 0.72/1.13 literals s-matched: 394
% 0.72/1.13 literals matched: 386
% 0.72/1.13 full subsumption: 0
% 0.72/1.13
% 0.72/1.13 checksum: -987717584
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Bliksem ended
%------------------------------------------------------------------------------