TSTP Solution File: COL042-8 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL042-8 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 00:12:27 EDT 2022
% Result : Unsatisfiable 0.96s 1.33s
% Output : Refutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL042-8 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.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 04:27:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.96/1.33 *** allocated 10000 integers for termspace/termends
% 0.96/1.33 *** allocated 10000 integers for clauses
% 0.96/1.33 *** allocated 10000 integers for justifications
% 0.96/1.33 Bliksem 1.12
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Automatic Strategy Selection
% 0.96/1.33
% 0.96/1.33 Clauses:
% 0.96/1.33 [
% 0.96/1.33 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.96/1.33 ],
% 0.96/1.33 [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ],
% 0.96/1.33 [ =( 'strong_fixed_point', apply( apply( b, apply( apply( b, apply( w1,
% 0.96/1.33 w1 ) ), apply( apply( b, apply( b, w1 ) ), b ) ) ), b ) ) ],
% 0.96/1.33 [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply( 'fixed_pt',
% 0.96/1.33 apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ]
% 0.96/1.33 ] .
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 percentage equality = 1.000000, percentage horn = 1.000000
% 0.96/1.33 This is a pure equality problem
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Options Used:
% 0.96/1.33
% 0.96/1.33 useres = 1
% 0.96/1.33 useparamod = 1
% 0.96/1.33 useeqrefl = 1
% 0.96/1.33 useeqfact = 1
% 0.96/1.33 usefactor = 1
% 0.96/1.33 usesimpsplitting = 0
% 0.96/1.33 usesimpdemod = 5
% 0.96/1.33 usesimpres = 3
% 0.96/1.33
% 0.96/1.33 resimpinuse = 1000
% 0.96/1.33 resimpclauses = 20000
% 0.96/1.33 substype = eqrewr
% 0.96/1.33 backwardsubs = 1
% 0.96/1.33 selectoldest = 5
% 0.96/1.33
% 0.96/1.33 litorderings [0] = split
% 0.96/1.33 litorderings [1] = extend the termordering, first sorting on arguments
% 0.96/1.33
% 0.96/1.33 termordering = kbo
% 0.96/1.33
% 0.96/1.33 litapriori = 0
% 0.96/1.33 termapriori = 1
% 0.96/1.33 litaposteriori = 0
% 0.96/1.33 termaposteriori = 0
% 0.96/1.33 demodaposteriori = 0
% 0.96/1.33 ordereqreflfact = 0
% 0.96/1.33
% 0.96/1.33 litselect = negord
% 0.96/1.33
% 0.96/1.33 maxweight = 15
% 0.96/1.33 maxdepth = 30000
% 0.96/1.33 maxlength = 115
% 0.96/1.33 maxnrvars = 195
% 0.96/1.33 excuselevel = 1
% 0.96/1.33 increasemaxweight = 1
% 0.96/1.33
% 0.96/1.33 maxselected = 10000000
% 0.96/1.33 maxnrclauses = 10000000
% 0.96/1.33
% 0.96/1.33 showgenerated = 0
% 0.96/1.33 showkept = 0
% 0.96/1.33 showselected = 0
% 0.96/1.33 showdeleted = 0
% 0.96/1.33 showresimp = 1
% 0.96/1.33 showstatus = 2000
% 0.96/1.33
% 0.96/1.33 prologoutput = 1
% 0.96/1.33 nrgoals = 5000000
% 0.96/1.33 totalproof = 1
% 0.96/1.33
% 0.96/1.33 Symbols occurring in the translation:
% 0.96/1.33
% 0.96/1.33 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.33 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.96/1.33 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.96/1.33 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.33 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.33 b [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.96/1.33 apply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.96/1.33 w1 [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.96/1.33 'strong_fixed_point' [45, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.96/1.33 'fixed_pt' [46, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Starting Search:
% 0.96/1.33
% 0.96/1.33 Resimplifying inuse:
% 0.96/1.33 Done
% 0.96/1.33
% 0.96/1.33 Failed to find proof!
% 0.96/1.33 maxweight = 15
% 0.96/1.33 maxnrclauses = 10000000
% 0.96/1.33 Generated: 1124
% 0.96/1.33 Kept: 25
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 The strategy used was not complete!
% 0.96/1.33
% 0.96/1.33 Increased maxweight to 16
% 0.96/1.33
% 0.96/1.33 Starting Search:
% 0.96/1.33
% 0.96/1.33 Resimplifying inuse:
% 0.96/1.33 Done
% 0.96/1.33
% 0.96/1.33 Failed to find proof!
% 0.96/1.33 maxweight = 16
% 0.96/1.33 maxnrclauses = 10000000
% 0.96/1.33 Generated: 1124
% 0.96/1.33 Kept: 25
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 The strategy used was not complete!
% 0.96/1.33
% 0.96/1.33 Increased maxweight to 17
% 0.96/1.33
% 0.96/1.33 Starting Search:
% 0.96/1.33
% 0.96/1.33 Resimplifying inuse:
% 0.96/1.33 Done
% 0.96/1.33
% 0.96/1.33 Failed to find proof!
% 0.96/1.33 maxweight = 17
% 0.96/1.33 maxnrclauses = 10000000
% 0.96/1.33 Generated: 2571
% 0.96/1.33 Kept: 49
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 The strategy used was not complete!
% 0.96/1.33
% 0.96/1.33 Increased maxweight to 18
% 0.96/1.33
% 0.96/1.33 Starting Search:
% 0.96/1.33
% 0.96/1.33 Resimplifying inuse:
% 0.96/1.33 Done
% 0.96/1.33
% 0.96/1.33 Failed to find proof!
% 0.96/1.33 maxweight = 18
% 0.96/1.33 maxnrclauses = 10000000
% 0.96/1.33 Generated: 2571
% 0.96/1.33 Kept: 49
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 The strategy used was not complete!
% 0.96/1.33
% 0.96/1.33 Increased maxweight to 19
% 0.96/1.33
% 0.96/1.33 Starting Search:
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Bliksems!, er is een bewijs:
% 0.96/1.33 % SZS status Unsatisfiable
% 0.96/1.33 % SZS output start Refutation
% 0.96/1.33
% 0.96/1.33 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.96/1.33 Z ) ) ) ] )
% 0.96/1.33 .
% 0.96/1.33 clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.96/1.33 )
% 0.96/1.33 .
% 0.96/1.33 clause( 2, [ =( apply( apply( b, apply( apply( b, apply( w1, w1 ) ), apply(
% 0.96/1.33 apply( b, apply( b, w1 ) ), b ) ) ), b ), 'strong_fixed_point' ) ] )
% 0.96/1.33 .
% 0.96/1.33 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.96/1.33 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.96/1.33 .
% 0.96/1.33 clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), apply(
% 0.96/1.33 apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.96/1.33 .
% 0.96/1.33 clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b,
% 0.96/1.33 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.96/1.33 .
% 0.96/1.33 clause( 100, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) ),
% 0.96/1.33 Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.96/1.33 .
% 0.96/1.33 clause( 102, [ =( apply( apply( w1, Y ), apply( apply( b, w1 ), X ) ),
% 0.96/1.33 apply( apply( Y, apply( X, Y ) ), apply( X, Y ) ) ) ] )
% 0.96/1.33 .
% 0.96/1.33 clause( 221, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.96/1.33 'strong_fixed_point', X ) ) ] )
% 0.96/1.33 .
% 0.96/1.33 clause( 226, [] )
% 0.96/1.33 .
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 % SZS output end Refutation
% 0.96/1.33 found a proof!
% 0.96/1.33
% 0.96/1.33 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.96/1.33
% 0.96/1.33 initialclauses(
% 0.96/1.33 [ clause( 228, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.96/1.33 Y, Z ) ) ) ] )
% 0.96/1.33 , clause( 229, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 230, [ =( 'strong_fixed_point', apply( apply( b, apply( apply( b
% 0.96/1.33 , apply( w1, w1 ) ), apply( apply( b, apply( b, w1 ) ), b ) ) ), b ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 231, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.96/1.33 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.96/1.33 ] ).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 subsumption(
% 0.96/1.33 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.96/1.33 Z ) ) ) ] )
% 0.96/1.33 , clause( 228, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.96/1.33 Y, Z ) ) ) ] )
% 0.96/1.33 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.96/1.33 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 subsumption(
% 0.96/1.33 clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 229, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) )
% 0.96/1.33 ] )
% 0.96/1.33 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.96/1.33 )] ) ).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 eqswap(
% 0.96/1.33 clause( 237, [ =( apply( apply( b, apply( apply( b, apply( w1, w1 ) ),
% 0.96/1.33 apply( apply( b, apply( b, w1 ) ), b ) ) ), b ), 'strong_fixed_point' ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 230, [ =( 'strong_fixed_point', apply( apply( b, apply( apply( b
% 0.96/1.33 , apply( w1, w1 ) ), apply( apply( b, apply( b, w1 ) ), b ) ) ), b ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , 0, substitution( 0, [] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 subsumption(
% 0.96/1.33 clause( 2, [ =( apply( apply( b, apply( apply( b, apply( w1, w1 ) ), apply(
% 0.96/1.33 apply( b, apply( b, w1 ) ), b ) ) ), b ), 'strong_fixed_point' ) ] )
% 0.96/1.33 , clause( 237, [ =( apply( apply( b, apply( apply( b, apply( w1, w1 ) ),
% 0.96/1.33 apply( apply( b, apply( b, w1 ) ), b ) ) ), b ), 'strong_fixed_point' ) ]
% 0.96/1.33 )
% 0.96/1.33 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 eqswap(
% 0.96/1.33 clause( 241, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.96/1.33 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.96/1.33 , clause( 231, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.96/1.33 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.96/1.33 , 0, substitution( 0, [] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 subsumption(
% 0.96/1.33 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.96/1.33 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.96/1.33 , clause( 241, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.96/1.33 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.96/1.33 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 eqswap(
% 0.96/1.33 clause( 243, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 paramod(
% 0.96/1.33 clause( 257, [ =( apply( apply( X, apply( Y, Z ) ), Z ), apply( apply( w1,
% 0.96/1.33 Z ), apply( apply( b, X ), Y ) ) ) ] )
% 0.96/1.33 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.96/1.33 , Z ) ) ) ] )
% 0.96/1.33 , 0, clause( 243, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y
% 0.96/1.33 ) ) ] )
% 0.96/1.33 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.96/1.33 substitution( 1, [ :=( X, Z ), :=( Y, apply( apply( b, X ), Y ) )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 eqswap(
% 0.96/1.33 clause( 259, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), apply(
% 0.96/1.33 apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.96/1.33 , clause( 257, [ =( apply( apply( X, apply( Y, Z ) ), Z ), apply( apply( w1
% 0.96/1.33 , Z ), apply( apply( b, X ), Y ) ) ) ] )
% 0.96/1.33 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 subsumption(
% 0.96/1.33 clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), apply(
% 0.96/1.33 apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.96/1.33 , clause( 259, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ),
% 0.96/1.33 apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.96/1.33 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.96/1.33 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 eqswap(
% 0.96/1.33 clause( 261, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.96/1.33 ), Z ) ) ] )
% 0.96/1.33 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.96/1.33 , Z ) ) ) ] )
% 0.96/1.33 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 paramod(
% 0.96/1.33 clause( 265, [ =( apply( apply( apply( b, apply( w1, w1 ) ), apply( apply(
% 0.96/1.33 b, apply( b, w1 ) ), b ) ), apply( b, X ) ), apply( 'strong_fixed_point'
% 0.96/1.33 , X ) ) ] )
% 0.96/1.33 , clause( 2, [ =( apply( apply( b, apply( apply( b, apply( w1, w1 ) ),
% 0.96/1.33 apply( apply( b, apply( b, w1 ) ), b ) ) ), b ), 'strong_fixed_point' ) ]
% 0.96/1.33 )
% 0.96/1.33 , 0, clause( 261, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.96/1.33 ), Y ), Z ) ) ] )
% 0.96/1.33 , 0, 19, substitution( 0, [] ), substitution( 1, [ :=( X, apply( apply( b,
% 0.96/1.33 apply( w1, w1 ) ), apply( apply( b, apply( b, w1 ) ), b ) ) ), :=( Y, b )
% 0.96/1.33 , :=( Z, X )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 paramod(
% 0.96/1.33 clause( 266, [ =( apply( apply( w1, w1 ), apply( apply( apply( b, apply( b
% 0.96/1.33 , w1 ) ), b ), apply( b, X ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.96/1.33 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.96/1.33 , Z ) ) ) ] )
% 0.96/1.33 , 0, clause( 265, [ =( apply( apply( apply( b, apply( w1, w1 ) ), apply(
% 0.96/1.33 apply( b, apply( b, w1 ) ), b ) ), apply( b, X ) ), apply(
% 0.96/1.33 'strong_fixed_point', X ) ) ] )
% 0.96/1.33 , 0, 1, substitution( 0, [ :=( X, apply( w1, w1 ) ), :=( Y, apply( apply( b
% 0.96/1.33 , apply( b, w1 ) ), b ) ), :=( Z, apply( b, X ) )] ), substitution( 1, [
% 0.96/1.33 :=( X, X )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 paramod(
% 0.96/1.33 clause( 268, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b,
% 0.96/1.33 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.96/1.33 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.96/1.33 , Z ) ) ) ] )
% 0.96/1.33 , 0, clause( 266, [ =( apply( apply( w1, w1 ), apply( apply( apply( b,
% 0.96/1.33 apply( b, w1 ) ), b ), apply( b, X ) ) ), apply( 'strong_fixed_point', X
% 0.96/1.33 ) ) ] )
% 0.96/1.33 , 0, 5, substitution( 0, [ :=( X, apply( b, w1 ) ), :=( Y, b ), :=( Z,
% 0.96/1.33 apply( b, X ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 subsumption(
% 0.96/1.33 clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b,
% 0.96/1.33 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.96/1.33 , clause( 268, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b
% 0.96/1.33 , apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.96/1.33 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 eqswap(
% 0.96/1.33 clause( 270, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1,
% 0.96/1.33 X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ),
% 0.96/1.33 apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.96/1.33 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 eqswap(
% 0.96/1.33 clause( 271, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.96/1.33 ), Z ) ) ] )
% 0.96/1.33 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.96/1.33 , Z ) ) ) ] )
% 0.96/1.33 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 paramod(
% 0.96/1.33 clause( 274, [ =( apply( X, apply( apply( Y, Z ), Z ) ), apply( apply( w1,
% 0.96/1.33 Z ), apply( apply( b, apply( b, X ) ), Y ) ) ) ] )
% 0.96/1.33 , clause( 270, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1
% 0.96/1.33 , X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.96/1.33 , 0, clause( 271, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.96/1.33 ), Y ), Z ) ) ] )
% 0.96/1.33 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, apply( b, X ) ), :=( Z, Y )] )
% 0.96/1.33 , substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Z ) ), :=( Z, Z )] )
% 0.96/1.33 ).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 eqswap(
% 0.96/1.33 clause( 278, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) ),
% 0.96/1.33 Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.96/1.33 , clause( 274, [ =( apply( X, apply( apply( Y, Z ), Z ) ), apply( apply( w1
% 0.96/1.33 , Z ), apply( apply( b, apply( b, X ) ), Y ) ) ) ] )
% 0.96/1.33 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 subsumption(
% 0.96/1.33 clause( 100, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) ),
% 0.96/1.33 Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.96/1.33 , clause( 278, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) )
% 0.96/1.33 , Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.96/1.33 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.96/1.33 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 eqswap(
% 0.96/1.33 clause( 280, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1,
% 0.96/1.33 X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ),
% 0.96/1.33 apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.96/1.33 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 eqswap(
% 0.96/1.33 clause( 281, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 paramod(
% 0.96/1.33 clause( 283, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ), apply(
% 0.96/1.33 apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.96/1.33 , clause( 280, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1
% 0.96/1.33 , X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.96/1.33 , 0, clause( 281, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y
% 0.96/1.33 ) ) ] )
% 0.96/1.33 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, w1 ), :=( Z, Y )] ),
% 0.96/1.33 substitution( 1, [ :=( X, apply( Y, X ) ), :=( Y, X )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 eqswap(
% 0.96/1.33 clause( 285, [ =( apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ),
% 0.96/1.33 apply( apply( X, apply( Y, X ) ), apply( Y, X ) ) ) ] )
% 0.96/1.33 , clause( 283, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ),
% 0.96/1.33 apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.96/1.33 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 subsumption(
% 0.96/1.33 clause( 102, [ =( apply( apply( w1, Y ), apply( apply( b, w1 ), X ) ),
% 0.96/1.33 apply( apply( Y, apply( X, Y ) ), apply( X, Y ) ) ) ] )
% 0.96/1.33 , clause( 285, [ =( apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ),
% 0.96/1.33 apply( apply( X, apply( Y, X ) ), apply( Y, X ) ) ) ] )
% 0.96/1.33 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.96/1.33 )] ) ).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 eqswap(
% 0.96/1.33 clause( 286, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ), apply(
% 0.96/1.33 apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.96/1.33 , clause( 102, [ =( apply( apply( w1, Y ), apply( apply( b, w1 ), X ) ),
% 0.96/1.33 apply( apply( Y, apply( X, Y ) ), apply( X, Y ) ) ) ] )
% 0.96/1.33 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 eqswap(
% 0.96/1.33 clause( 287, [ =( apply( Y, apply( apply( Z, X ), X ) ), apply( apply( w1,
% 0.96/1.33 X ), apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 0.96/1.33 , clause( 100, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) )
% 0.96/1.33 , Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.96/1.33 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 paramod(
% 0.96/1.33 clause( 292, [ =( apply( X, apply( apply( w1, apply( apply( b, apply( b, X
% 0.96/1.33 ) ), w1 ) ), apply( apply( b, apply( b, X ) ), w1 ) ) ), apply( apply(
% 0.96/1.33 w1, w1 ), apply( apply( b, w1 ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.96/1.33 , clause( 286, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ),
% 0.96/1.33 apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.96/1.33 , 0, clause( 287, [ =( apply( Y, apply( apply( Z, X ), X ) ), apply( apply(
% 0.96/1.33 w1, X ), apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 0.96/1.33 , 0, 20, substitution( 0, [ :=( X, w1 ), :=( Y, apply( b, apply( b, X ) ) )] )
% 0.96/1.33 , substitution( 1, [ :=( X, apply( apply( b, apply( b, X ) ), w1 ) ),
% 0.96/1.33 :=( Y, X ), :=( Z, w1 )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 paramod(
% 0.96/1.33 clause( 294, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b, w1 ),
% 0.96/1.33 apply( b, apply( b, X ) ) ) ) ), apply( apply( w1, w1 ), apply( apply( b
% 0.96/1.33 , w1 ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.96/1.33 , clause( 286, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ),
% 0.96/1.33 apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.96/1.33 , 0, clause( 292, [ =( apply( X, apply( apply( w1, apply( apply( b, apply(
% 0.96/1.33 b, X ) ), w1 ) ), apply( apply( b, apply( b, X ) ), w1 ) ) ), apply(
% 0.96/1.33 apply( w1, w1 ), apply( apply( b, w1 ), apply( b, apply( b, X ) ) ) ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , 0, 3, substitution( 0, [ :=( X, w1 ), :=( Y, apply( b, apply( b, X ) ) )] )
% 0.96/1.33 , substitution( 1, [ :=( X, X )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 paramod(
% 0.96/1.33 clause( 298, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b, w1 ),
% 0.96/1.33 apply( b, apply( b, X ) ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.96/1.33 , clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b
% 0.96/1.33 , apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.96/1.33 , 0, clause( 294, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b,
% 0.96/1.33 w1 ), apply( b, apply( b, X ) ) ) ) ), apply( apply( w1, w1 ), apply(
% 0.96/1.33 apply( b, w1 ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.96/1.33 , 0, 16, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.96/1.33 ).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 paramod(
% 0.96/1.33 clause( 299, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.96/1.33 'strong_fixed_point', X ) ) ] )
% 0.96/1.33 , clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b
% 0.96/1.33 , apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.96/1.33 , 0, clause( 298, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b,
% 0.96/1.33 w1 ), apply( b, apply( b, X ) ) ) ) ), apply( 'strong_fixed_point', X ) )
% 0.96/1.33 ] )
% 0.96/1.33 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.96/1.33 ).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 subsumption(
% 0.96/1.33 clause( 221, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.96/1.33 'strong_fixed_point', X ) ) ] )
% 0.96/1.33 , clause( 299, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.96/1.33 'strong_fixed_point', X ) ) ] )
% 0.96/1.33 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 eqswap(
% 0.96/1.33 clause( 303, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.96/1.33 'strong_fixed_point', X ) ) ) ] )
% 0.96/1.33 , clause( 221, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.96/1.33 'strong_fixed_point', X ) ) ] )
% 0.96/1.33 , 0, substitution( 0, [ :=( X, X )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 eqswap(
% 0.96/1.33 clause( 304, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.96/1.33 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.96/1.33 , clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.96/1.33 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.96/1.33 , 0, substitution( 0, [] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 resolution(
% 0.96/1.33 clause( 305, [] )
% 0.96/1.33 , clause( 304, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.96/1.33 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.96/1.33 , 0, clause( 303, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.96/1.33 'strong_fixed_point', X ) ) ) ] )
% 0.96/1.33 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'fixed_pt' )] )).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 subsumption(
% 0.96/1.33 clause( 226, [] )
% 0.96/1.33 , clause( 305, [] )
% 0.96/1.33 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 end.
% 0.96/1.33
% 0.96/1.33 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.96/1.33
% 0.96/1.33 Memory use:
% 0.96/1.33
% 0.96/1.33 space for terms: 4196
% 0.96/1.33 space for clauses: 29478
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 clauses generated: 26380
% 0.96/1.33 clauses kept: 227
% 0.96/1.33 clauses selected: 112
% 0.96/1.33 clauses deleted: 15
% 0.96/1.33 clauses inuse deleted: 0
% 0.96/1.33
% 0.96/1.33 subsentry: 1702
% 0.96/1.33 literals s-matched: 1494
% 0.96/1.33 literals matched: 1494
% 0.96/1.33 full subsumption: 0
% 0.96/1.33
% 0.96/1.33 checksum: -1879368209
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Bliksem ended
%------------------------------------------------------------------------------