TSTP Solution File: COL042-9 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL042-9 : 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 00:12:27 EDT 2022
% Result : Unsatisfiable 0.73s 1.29s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL042-9 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12 % 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 10:26:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.29 *** allocated 10000 integers for termspace/termends
% 0.73/1.29 *** allocated 10000 integers for clauses
% 0.73/1.29 *** allocated 10000 integers for justifications
% 0.73/1.29 Bliksem 1.12
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 Automatic Strategy Selection
% 0.73/1.29
% 0.73/1.29 Clauses:
% 0.73/1.29 [
% 0.73/1.29 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.73/1.29 ],
% 0.73/1.29 [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ],
% 0.73/1.29 [ =( 'strong_fixed_point', apply( apply( b, apply( w1, w1 ) ), apply(
% 0.73/1.29 apply( b, apply( b, w1 ) ), apply( apply( b, b ), b ) ) ) ) ],
% 0.73/1.29 [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply( 'fixed_pt',
% 0.73/1.29 apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ]
% 0.73/1.29 ] .
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 percentage equality = 1.000000, percentage horn = 1.000000
% 0.73/1.29 This is a pure equality problem
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 Options Used:
% 0.73/1.29
% 0.73/1.29 useres = 1
% 0.73/1.29 useparamod = 1
% 0.73/1.29 useeqrefl = 1
% 0.73/1.29 useeqfact = 1
% 0.73/1.29 usefactor = 1
% 0.73/1.29 usesimpsplitting = 0
% 0.73/1.29 usesimpdemod = 5
% 0.73/1.29 usesimpres = 3
% 0.73/1.29
% 0.73/1.29 resimpinuse = 1000
% 0.73/1.29 resimpclauses = 20000
% 0.73/1.29 substype = eqrewr
% 0.73/1.29 backwardsubs = 1
% 0.73/1.29 selectoldest = 5
% 0.73/1.29
% 0.73/1.29 litorderings [0] = split
% 0.73/1.29 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.29
% 0.73/1.29 termordering = kbo
% 0.73/1.29
% 0.73/1.29 litapriori = 0
% 0.73/1.29 termapriori = 1
% 0.73/1.29 litaposteriori = 0
% 0.73/1.29 termaposteriori = 0
% 0.73/1.29 demodaposteriori = 0
% 0.73/1.29 ordereqreflfact = 0
% 0.73/1.29
% 0.73/1.29 litselect = negord
% 0.73/1.29
% 0.73/1.29 maxweight = 15
% 0.73/1.29 maxdepth = 30000
% 0.73/1.29 maxlength = 115
% 0.73/1.29 maxnrvars = 195
% 0.73/1.29 excuselevel = 1
% 0.73/1.29 increasemaxweight = 1
% 0.73/1.29
% 0.73/1.29 maxselected = 10000000
% 0.73/1.29 maxnrclauses = 10000000
% 0.73/1.29
% 0.73/1.29 showgenerated = 0
% 0.73/1.29 showkept = 0
% 0.73/1.29 showselected = 0
% 0.73/1.29 showdeleted = 0
% 0.73/1.29 showresimp = 1
% 0.73/1.29 showstatus = 2000
% 0.73/1.29
% 0.73/1.29 prologoutput = 1
% 0.73/1.29 nrgoals = 5000000
% 0.73/1.29 totalproof = 1
% 0.73/1.29
% 0.73/1.29 Symbols occurring in the translation:
% 0.73/1.29
% 0.73/1.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.29 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.29 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.73/1.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.29 b [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.73/1.29 apply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.73/1.29 w1 [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.29 'strong_fixed_point' [45, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.73/1.29 'fixed_pt' [46, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 Starting Search:
% 0.73/1.29
% 0.73/1.29 Resimplifying inuse:
% 0.73/1.29 Done
% 0.73/1.29
% 0.73/1.29 Failed to find proof!
% 0.73/1.29 maxweight = 15
% 0.73/1.29 maxnrclauses = 10000000
% 0.73/1.29 Generated: 1145
% 0.73/1.29 Kept: 26
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 The strategy used was not complete!
% 0.73/1.29
% 0.73/1.29 Increased maxweight to 16
% 0.73/1.29
% 0.73/1.29 Starting Search:
% 0.73/1.29
% 0.73/1.29 Resimplifying inuse:
% 0.73/1.29 Done
% 0.73/1.29
% 0.73/1.29 Failed to find proof!
% 0.73/1.29 maxweight = 16
% 0.73/1.29 maxnrclauses = 10000000
% 0.73/1.29 Generated: 1145
% 0.73/1.29 Kept: 26
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 The strategy used was not complete!
% 0.73/1.29
% 0.73/1.29 Increased maxweight to 17
% 0.73/1.29
% 0.73/1.29 Starting Search:
% 0.73/1.29
% 0.73/1.29 Resimplifying inuse:
% 0.73/1.29 Done
% 0.73/1.29
% 0.73/1.29 Failed to find proof!
% 0.73/1.29 maxweight = 17
% 0.73/1.29 maxnrclauses = 10000000
% 0.73/1.29 Generated: 2595
% 0.73/1.29 Kept: 50
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 The strategy used was not complete!
% 0.73/1.29
% 0.73/1.29 Increased maxweight to 18
% 0.73/1.29
% 0.73/1.29 Starting Search:
% 0.73/1.29
% 0.73/1.29 Resimplifying inuse:
% 0.73/1.29 Done
% 0.73/1.29
% 0.73/1.29 Failed to find proof!
% 0.73/1.29 maxweight = 18
% 0.73/1.29 maxnrclauses = 10000000
% 0.73/1.29 Generated: 2595
% 0.73/1.29 Kept: 50
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 The strategy used was not complete!
% 0.73/1.29
% 0.73/1.29 Increased maxweight to 19
% 0.73/1.29
% 0.73/1.29 Starting Search:
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 Bliksems!, er is een bewijs:
% 0.73/1.29 % SZS status Unsatisfiable
% 0.73/1.29 % SZS output start Refutation
% 0.73/1.29
% 0.73/1.29 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.73/1.29 Z ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.73/1.29 )
% 0.73/1.29 .
% 0.73/1.29 clause( 2, [ =( apply( apply( b, apply( w1, w1 ) ), apply( apply( b, apply(
% 0.73/1.29 b, w1 ) ), apply( apply( b, b ), b ) ) ), 'strong_fixed_point' ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.73/1.29 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), apply(
% 0.73/1.29 apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b,
% 0.73/1.29 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 102, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) ),
% 0.73/1.29 Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 104, [ =( apply( apply( w1, Y ), apply( apply( b, w1 ), X ) ),
% 0.73/1.29 apply( apply( Y, apply( X, Y ) ), apply( X, Y ) ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 214, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.73/1.29 'strong_fixed_point', X ) ) ] )
% 0.73/1.29 .
% 0.73/1.29 clause( 219, [] )
% 0.73/1.29 .
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 % SZS output end Refutation
% 0.73/1.29 found a proof!
% 0.73/1.29
% 0.73/1.29 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.29
% 0.73/1.29 initialclauses(
% 0.73/1.29 [ clause( 221, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.73/1.29 Y, Z ) ) ) ] )
% 0.73/1.29 , clause( 222, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) )
% 0.73/1.29 ] )
% 0.73/1.29 , clause( 223, [ =( 'strong_fixed_point', apply( apply( b, apply( w1, w1 )
% 0.73/1.29 ), apply( apply( b, apply( b, w1 ) ), apply( apply( b, b ), b ) ) ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , clause( 224, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.73/1.29 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.73/1.29 ] ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.73/1.29 Z ) ) ) ] )
% 0.73/1.29 , clause( 221, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.73/1.29 Y, Z ) ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.29 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , clause( 222, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) )
% 0.73/1.29 ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 230, [ =( apply( apply( b, apply( w1, w1 ) ), apply( apply( b,
% 0.73/1.29 apply( b, w1 ) ), apply( apply( b, b ), b ) ) ), 'strong_fixed_point' ) ]
% 0.73/1.29 )
% 0.73/1.29 , clause( 223, [ =( 'strong_fixed_point', apply( apply( b, apply( w1, w1 )
% 0.73/1.29 ), apply( apply( b, apply( b, w1 ) ), apply( apply( b, b ), b ) ) ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, substitution( 0, [] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 2, [ =( apply( apply( b, apply( w1, w1 ) ), apply( apply( b, apply(
% 0.73/1.29 b, w1 ) ), apply( apply( b, b ), b ) ) ), 'strong_fixed_point' ) ] )
% 0.73/1.29 , clause( 230, [ =( apply( apply( b, apply( w1, w1 ) ), apply( apply( b,
% 0.73/1.29 apply( b, w1 ) ), apply( apply( b, b ), b ) ) ), 'strong_fixed_point' ) ]
% 0.73/1.29 )
% 0.73/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 234, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.73/1.29 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.73/1.29 , clause( 224, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.73/1.29 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.73/1.29 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.73/1.29 , clause( 234, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.73/1.29 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.73/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 236, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 250, [ =( apply( apply( X, apply( Y, Z ) ), Z ), apply( apply( w1,
% 0.73/1.29 Z ), apply( apply( b, X ), Y ) ) ) ] )
% 0.73/1.29 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.29 , Z ) ) ) ] )
% 0.73/1.29 , 0, clause( 236, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y
% 0.73/1.29 ) ) ] )
% 0.73/1.29 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.29 substitution( 1, [ :=( X, Z ), :=( Y, apply( apply( b, X ), Y ) )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 252, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), apply(
% 0.73/1.29 apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.73/1.29 , clause( 250, [ =( apply( apply( X, apply( Y, Z ) ), Z ), apply( apply( w1
% 0.73/1.29 , Z ), apply( apply( b, X ), Y ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), apply(
% 0.73/1.29 apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.73/1.29 , clause( 252, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ),
% 0.73/1.29 apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.29 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 254, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.73/1.29 ), Z ) ) ] )
% 0.73/1.29 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.29 , Z ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 259, [ =( apply( apply( w1, w1 ), apply( apply( apply( b, apply( b
% 0.73/1.29 , w1 ) ), apply( apply( b, b ), b ) ), X ) ), apply( 'strong_fixed_point'
% 0.73/1.29 , X ) ) ] )
% 0.73/1.29 , clause( 2, [ =( apply( apply( b, apply( w1, w1 ) ), apply( apply( b,
% 0.73/1.29 apply( b, w1 ) ), apply( apply( b, b ), b ) ) ), 'strong_fixed_point' ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, clause( 254, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.73/1.29 ), Y ), Z ) ) ] )
% 0.73/1.29 , 0, 19, substitution( 0, [] ), substitution( 1, [ :=( X, apply( w1, w1 ) )
% 0.73/1.29 , :=( Y, apply( apply( b, apply( b, w1 ) ), apply( apply( b, b ), b ) ) )
% 0.73/1.29 , :=( Z, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 260, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply(
% 0.73/1.29 apply( apply( b, b ), b ), X ) ) ), apply( 'strong_fixed_point', X ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.29 , Z ) ) ) ] )
% 0.73/1.29 , 0, clause( 259, [ =( apply( apply( w1, w1 ), apply( apply( apply( b,
% 0.73/1.29 apply( b, w1 ) ), apply( apply( b, b ), b ) ), X ) ), apply(
% 0.73/1.29 'strong_fixed_point', X ) ) ] )
% 0.73/1.29 , 0, 5, substitution( 0, [ :=( X, apply( b, w1 ) ), :=( Y, apply( apply( b
% 0.73/1.29 , b ), b ) ), :=( Z, X )] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 262, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b,
% 0.73/1.29 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.73/1.29 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.29 , Z ) ) ) ] )
% 0.73/1.29 , 0, clause( 260, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply(
% 0.73/1.29 apply( apply( b, b ), b ), X ) ) ), apply( 'strong_fixed_point', X ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, 9, substitution( 0, [ :=( X, b ), :=( Y, b ), :=( Z, X )] ),
% 0.73/1.29 substitution( 1, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b,
% 0.73/1.29 apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.73/1.29 , clause( 262, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b
% 0.73/1.29 , apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 264, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1,
% 0.73/1.29 X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.73/1.29 , clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ),
% 0.73/1.29 apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 265, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.73/1.29 ), Z ) ) ] )
% 0.73/1.29 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.29 , Z ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 268, [ =( apply( X, apply( apply( Y, Z ), Z ) ), apply( apply( w1,
% 0.73/1.29 Z ), apply( apply( b, apply( b, X ) ), Y ) ) ) ] )
% 0.73/1.29 , clause( 264, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1
% 0.73/1.29 , X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.73/1.29 , 0, clause( 265, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.73/1.29 ), Y ), Z ) ) ] )
% 0.73/1.29 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, apply( b, X ) ), :=( Z, Y )] )
% 0.73/1.29 , substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Z ) ), :=( Z, Z )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 272, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) ),
% 0.73/1.29 Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.73/1.29 , clause( 268, [ =( apply( X, apply( apply( Y, Z ), Z ) ), apply( apply( w1
% 0.73/1.29 , Z ), apply( apply( b, apply( b, X ) ), Y ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 102, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) ),
% 0.73/1.29 Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.73/1.29 , clause( 272, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) )
% 0.73/1.29 , Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.73/1.29 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 274, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1,
% 0.73/1.29 X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.73/1.29 , clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ),
% 0.73/1.29 apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 275, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 277, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ), apply(
% 0.73/1.29 apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.73/1.29 , clause( 274, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1
% 0.73/1.29 , X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.73/1.29 , 0, clause( 275, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y
% 0.73/1.29 ) ) ] )
% 0.73/1.29 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, w1 ), :=( Z, Y )] ),
% 0.73/1.29 substitution( 1, [ :=( X, apply( Y, X ) ), :=( Y, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 279, [ =( apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ),
% 0.73/1.29 apply( apply( X, apply( Y, X ) ), apply( Y, X ) ) ) ] )
% 0.73/1.29 , clause( 277, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ),
% 0.73/1.29 apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 104, [ =( apply( apply( w1, Y ), apply( apply( b, w1 ), X ) ),
% 0.73/1.29 apply( apply( Y, apply( X, Y ) ), apply( X, Y ) ) ) ] )
% 0.73/1.29 , clause( 279, [ =( apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ),
% 0.73/1.29 apply( apply( X, apply( Y, X ) ), apply( Y, X ) ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.29 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 280, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ), apply(
% 0.73/1.29 apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.73/1.29 , clause( 104, [ =( apply( apply( w1, Y ), apply( apply( b, w1 ), X ) ),
% 0.73/1.29 apply( apply( Y, apply( X, Y ) ), apply( X, Y ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 281, [ =( apply( Y, apply( apply( Z, X ), X ) ), apply( apply( w1,
% 0.73/1.29 X ), apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 0.73/1.29 , clause( 102, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) )
% 0.73/1.29 , Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 286, [ =( apply( X, apply( apply( w1, apply( apply( b, apply( b, X
% 0.73/1.29 ) ), w1 ) ), apply( apply( b, apply( b, X ) ), w1 ) ) ), apply( apply(
% 0.73/1.29 w1, w1 ), apply( apply( b, w1 ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.73/1.29 , clause( 280, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ),
% 0.73/1.29 apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.73/1.29 , 0, clause( 281, [ =( apply( Y, apply( apply( Z, X ), X ) ), apply( apply(
% 0.73/1.29 w1, X ), apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 0.73/1.29 , 0, 20, substitution( 0, [ :=( X, w1 ), :=( Y, apply( b, apply( b, X ) ) )] )
% 0.73/1.29 , substitution( 1, [ :=( X, apply( apply( b, apply( b, X ) ), w1 ) ),
% 0.73/1.29 :=( Y, X ), :=( Z, w1 )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 288, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b, w1 ),
% 0.73/1.29 apply( b, apply( b, X ) ) ) ) ), apply( apply( w1, w1 ), apply( apply( b
% 0.73/1.29 , w1 ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.73/1.29 , clause( 280, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ),
% 0.73/1.29 apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.73/1.29 , 0, clause( 286, [ =( apply( X, apply( apply( w1, apply( apply( b, apply(
% 0.73/1.29 b, X ) ), w1 ) ), apply( apply( b, apply( b, X ) ), w1 ) ) ), apply(
% 0.73/1.29 apply( w1, w1 ), apply( apply( b, w1 ), apply( b, apply( b, X ) ) ) ) ) ]
% 0.73/1.29 )
% 0.73/1.29 , 0, 3, substitution( 0, [ :=( X, w1 ), :=( Y, apply( b, apply( b, X ) ) )] )
% 0.73/1.29 , substitution( 1, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 292, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b, w1 ),
% 0.73/1.29 apply( b, apply( b, X ) ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.73/1.29 , clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b
% 0.73/1.29 , apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.73/1.29 , 0, clause( 288, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b,
% 0.73/1.29 w1 ), apply( b, apply( b, X ) ) ) ) ), apply( apply( w1, w1 ), apply(
% 0.73/1.29 apply( b, w1 ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.73/1.29 , 0, 16, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 paramod(
% 0.73/1.29 clause( 293, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.73/1.29 'strong_fixed_point', X ) ) ] )
% 0.73/1.29 , clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b
% 0.73/1.29 , apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.73/1.29 , 0, clause( 292, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b,
% 0.73/1.29 w1 ), apply( b, apply( b, X ) ) ) ) ), apply( 'strong_fixed_point', X ) )
% 0.73/1.29 ] )
% 0.73/1.29 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.29 ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 214, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.73/1.29 'strong_fixed_point', X ) ) ] )
% 0.73/1.29 , clause( 293, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.73/1.29 'strong_fixed_point', X ) ) ] )
% 0.73/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 297, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.73/1.29 'strong_fixed_point', X ) ) ) ] )
% 0.73/1.29 , clause( 214, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply(
% 0.73/1.29 'strong_fixed_point', X ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 eqswap(
% 0.73/1.29 clause( 298, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.73/1.29 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.73/1.29 , clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point',
% 0.73/1.29 'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 resolution(
% 0.73/1.29 clause( 299, [] )
% 0.73/1.29 , clause( 298, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply(
% 0.73/1.29 'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.73/1.29 , 0, clause( 297, [ =( apply( 'strong_fixed_point', X ), apply( X, apply(
% 0.73/1.29 'strong_fixed_point', X ) ) ) ] )
% 0.73/1.29 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'fixed_pt' )] )).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 subsumption(
% 0.73/1.29 clause( 219, [] )
% 0.73/1.29 , clause( 299, [] )
% 0.73/1.29 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 end.
% 0.73/1.29
% 0.73/1.29 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.29
% 0.73/1.29 Memory use:
% 0.73/1.29
% 0.73/1.29 space for terms: 4077
% 0.73/1.29 space for clauses: 28633
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 clauses generated: 24550
% 0.73/1.29 clauses kept: 220
% 0.73/1.29 clauses selected: 110
% 0.73/1.29 clauses deleted: 14
% 0.73/1.29 clauses inuse deleted: 0
% 0.73/1.29
% 0.73/1.29 subsentry: 1628
% 0.73/1.29 literals s-matched: 1418
% 0.73/1.29 literals matched: 1418
% 0.73/1.29 full subsumption: 0
% 0.73/1.29
% 0.73/1.29 checksum: -1444927479
% 0.73/1.29
% 0.73/1.29
% 0.73/1.29 Bliksem ended
%------------------------------------------------------------------------------