TSTP Solution File: BOO013-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO013-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 : Thu Jul 14 23:30:39 EDT 2022
% Result : Unsatisfiable 0.46s 1.12s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO013-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 1 15:04:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.12 *** allocated 10000 integers for termspace/termends
% 0.46/1.12 *** allocated 10000 integers for clauses
% 0.46/1.12 *** allocated 10000 integers for justifications
% 0.46/1.12 Bliksem 1.12
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 Automatic Strategy Selection
% 0.46/1.12
% 0.46/1.12 Clauses:
% 0.46/1.12 [
% 0.46/1.12 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.46/1.12 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.46/1.12 [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add( Y, Z ) ) )
% 0.46/1.12 ],
% 0.46/1.12 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.46/1.12 ],
% 0.46/1.12 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.46/1.12 ) ) ],
% 0.46/1.12 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.46/1.12 ) ) ],
% 0.46/1.12 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.46/1.12 [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ],
% 0.46/1.12 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.46/1.12 [ =( multiply( inverse( X ), X ), 'additive_identity' ) ],
% 0.46/1.12 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.46/1.12 [ =( multiply( 'multiplicative_identity', X ), X ) ],
% 0.46/1.12 [ =( add( X, 'additive_identity' ), X ) ],
% 0.46/1.12 [ =( add( 'additive_identity', X ), X ) ],
% 0.46/1.12 [ =( add( a, b ), 'multiplicative_identity' ) ],
% 0.46/1.12 [ =( add( a, c ), 'multiplicative_identity' ) ],
% 0.46/1.12 [ =( multiply( a, b ), 'additive_identity' ) ],
% 0.46/1.12 [ =( multiply( a, c ), 'additive_identity' ) ],
% 0.46/1.12 [ ~( =( b, c ) ) ]
% 0.46/1.12 ] .
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 percentage equality = 1.000000, percentage horn = 1.000000
% 0.46/1.12 This is a pure equality problem
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 Options Used:
% 0.46/1.12
% 0.46/1.12 useres = 1
% 0.46/1.12 useparamod = 1
% 0.46/1.12 useeqrefl = 1
% 0.46/1.12 useeqfact = 1
% 0.46/1.12 usefactor = 1
% 0.46/1.12 usesimpsplitting = 0
% 0.46/1.12 usesimpdemod = 5
% 0.46/1.12 usesimpres = 3
% 0.46/1.12
% 0.46/1.12 resimpinuse = 1000
% 0.46/1.12 resimpclauses = 20000
% 0.46/1.12 substype = eqrewr
% 0.46/1.12 backwardsubs = 1
% 0.46/1.12 selectoldest = 5
% 0.46/1.12
% 0.46/1.12 litorderings [0] = split
% 0.46/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.46/1.12
% 0.46/1.12 termordering = kbo
% 0.46/1.12
% 0.46/1.12 litapriori = 0
% 0.46/1.12 termapriori = 1
% 0.46/1.12 litaposteriori = 0
% 0.46/1.12 termaposteriori = 0
% 0.46/1.12 demodaposteriori = 0
% 0.46/1.12 ordereqreflfact = 0
% 0.46/1.12
% 0.46/1.12 litselect = negord
% 0.46/1.12
% 0.46/1.12 maxweight = 15
% 0.46/1.12 maxdepth = 30000
% 0.46/1.12 maxlength = 115
% 0.46/1.12 maxnrvars = 195
% 0.46/1.12 excuselevel = 1
% 0.46/1.12 increasemaxweight = 1
% 0.46/1.12
% 0.46/1.12 maxselected = 10000000
% 0.46/1.12 maxnrclauses = 10000000
% 0.46/1.12
% 0.46/1.12 showgenerated = 0
% 0.46/1.12 showkept = 0
% 0.46/1.12 showselected = 0
% 0.46/1.12 showdeleted = 0
% 0.46/1.12 showresimp = 1
% 0.46/1.12 showstatus = 2000
% 0.46/1.12
% 0.46/1.12 prologoutput = 1
% 0.46/1.12 nrgoals = 5000000
% 0.46/1.12 totalproof = 1
% 0.46/1.12
% 0.46/1.12 Symbols occurring in the translation:
% 0.46/1.12
% 0.46/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.46/1.12 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.46/1.12 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.46/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.12 add [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.46/1.12 multiply [42, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.46/1.12 inverse [44, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.46/1.12 'multiplicative_identity' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.46/1.12 'additive_identity' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.46/1.12 a [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.46/1.12 b [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.46/1.12 c [49, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 Starting Search:
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 Bliksems!, er is een bewijs:
% 0.46/1.12 % SZS status Unsatisfiable
% 0.46/1.12 % SZS output start Refutation
% 0.46/1.12
% 0.46/1.12 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.46/1.12 .
% 0.46/1.12 clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y )
% 0.46/1.12 , Z ) ) ] )
% 0.46/1.12 .
% 0.46/1.12 clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.46/1.12 Z ) ) ) ] )
% 0.46/1.12 .
% 0.46/1.12 clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.46/1.12 .
% 0.46/1.12 clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.46/1.12 .
% 0.46/1.12 clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.46/1.12 .
% 0.46/1.12 clause( 14, [ =( add( a, b ), 'multiplicative_identity' ) ] )
% 0.46/1.12 .
% 0.46/1.12 clause( 15, [ =( add( a, c ), 'multiplicative_identity' ) ] )
% 0.46/1.12 .
% 0.46/1.12 clause( 16, [ =( multiply( a, b ), 'additive_identity' ) ] )
% 0.46/1.12 .
% 0.46/1.12 clause( 17, [ =( multiply( a, c ), 'additive_identity' ) ] )
% 0.46/1.12 .
% 0.46/1.12 clause( 18, [ ~( =( c, b ) ) ] )
% 0.46/1.12 .
% 0.46/1.12 clause( 22, [ =( add( b, a ), 'multiplicative_identity' ) ] )
% 0.46/1.12 .
% 0.46/1.12 clause( 30, [ =( add( multiply( a, X ), c ), add( X, c ) ) ] )
% 0.46/1.12 .
% 0.46/1.12 clause( 43, [ =( add( b, multiply( a, X ) ), add( b, X ) ) ] )
% 0.46/1.12 .
% 0.46/1.12 clause( 62, [ =( add( b, c ), b ) ] )
% 0.46/1.12 .
% 0.46/1.12 clause( 272, [] )
% 0.46/1.12 .
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 % SZS output end Refutation
% 0.46/1.12 found a proof!
% 0.46/1.12
% 0.46/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.12
% 0.46/1.12 initialclauses(
% 0.46/1.12 [ clause( 274, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.46/1.12 , clause( 275, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.46/1.12 , clause( 276, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add(
% 0.46/1.12 Y, Z ) ) ) ] )
% 0.46/1.12 , clause( 277, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.46/1.12 X, Z ) ) ) ] )
% 0.46/1.12 , clause( 278, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.46/1.12 multiply( Y, Z ) ) ) ] )
% 0.46/1.12 , clause( 279, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.46/1.12 multiply( X, Z ) ) ) ] )
% 0.46/1.12 , clause( 280, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ]
% 0.46/1.12 )
% 0.46/1.12 , clause( 281, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ]
% 0.46/1.12 )
% 0.46/1.12 , clause( 282, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.46/1.12 , clause( 283, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.46/1.12 , clause( 284, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.46/1.12 , clause( 285, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.46/1.12 , clause( 286, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.46/1.12 , clause( 287, [ =( add( 'additive_identity', X ), X ) ] )
% 0.46/1.12 , clause( 288, [ =( add( a, b ), 'multiplicative_identity' ) ] )
% 0.46/1.12 , clause( 289, [ =( add( a, c ), 'multiplicative_identity' ) ] )
% 0.46/1.12 , clause( 290, [ =( multiply( a, b ), 'additive_identity' ) ] )
% 0.46/1.12 , clause( 291, [ =( multiply( a, c ), 'additive_identity' ) ] )
% 0.46/1.12 , clause( 292, [ ~( =( b, c ) ) ] )
% 0.46/1.12 ] ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.46/1.12 , clause( 274, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.46/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.12 )] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 eqswap(
% 0.46/1.12 clause( 293, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.46/1.12 ), Z ) ) ] )
% 0.46/1.12 , clause( 276, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add(
% 0.46/1.12 Y, Z ) ) ) ] )
% 0.46/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y )
% 0.46/1.12 , Z ) ) ] )
% 0.46/1.12 , clause( 293, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X
% 0.46/1.12 , Y ), Z ) ) ] )
% 0.46/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.46/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 eqswap(
% 0.46/1.12 clause( 295, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.46/1.12 , Z ) ) ) ] )
% 0.46/1.12 , clause( 277, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.46/1.12 X, Z ) ) ) ] )
% 0.46/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.46/1.12 Z ) ) ) ] )
% 0.46/1.12 , clause( 295, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.46/1.12 Y, Z ) ) ) ] )
% 0.46/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.46/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.46/1.12 , clause( 285, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.46/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.46/1.12 , clause( 286, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.46/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.46/1.12 , clause( 287, [ =( add( 'additive_identity', X ), X ) ] )
% 0.46/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 14, [ =( add( a, b ), 'multiplicative_identity' ) ] )
% 0.46/1.12 , clause( 288, [ =( add( a, b ), 'multiplicative_identity' ) ] )
% 0.46/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 15, [ =( add( a, c ), 'multiplicative_identity' ) ] )
% 0.46/1.12 , clause( 289, [ =( add( a, c ), 'multiplicative_identity' ) ] )
% 0.46/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 16, [ =( multiply( a, b ), 'additive_identity' ) ] )
% 0.46/1.12 , clause( 290, [ =( multiply( a, b ), 'additive_identity' ) ] )
% 0.46/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 17, [ =( multiply( a, c ), 'additive_identity' ) ] )
% 0.46/1.12 , clause( 291, [ =( multiply( a, c ), 'additive_identity' ) ] )
% 0.46/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 eqswap(
% 0.46/1.12 clause( 403, [ ~( =( c, b ) ) ] )
% 0.46/1.12 , clause( 292, [ ~( =( b, c ) ) ] )
% 0.46/1.12 , 0, substitution( 0, [] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 18, [ ~( =( c, b ) ) ] )
% 0.46/1.12 , clause( 403, [ ~( =( c, b ) ) ] )
% 0.46/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 eqswap(
% 0.46/1.12 clause( 404, [ =( 'multiplicative_identity', add( a, b ) ) ] )
% 0.46/1.12 , clause( 14, [ =( add( a, b ), 'multiplicative_identity' ) ] )
% 0.46/1.12 , 0, substitution( 0, [] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 paramod(
% 0.46/1.12 clause( 405, [ =( 'multiplicative_identity', add( b, a ) ) ] )
% 0.46/1.12 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.46/1.12 , 0, clause( 404, [ =( 'multiplicative_identity', add( a, b ) ) ] )
% 0.46/1.12 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.46/1.12 ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 eqswap(
% 0.46/1.12 clause( 408, [ =( add( b, a ), 'multiplicative_identity' ) ] )
% 0.46/1.12 , clause( 405, [ =( 'multiplicative_identity', add( b, a ) ) ] )
% 0.46/1.12 , 0, substitution( 0, [] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 22, [ =( add( b, a ), 'multiplicative_identity' ) ] )
% 0.46/1.12 , clause( 408, [ =( add( b, a ), 'multiplicative_identity' ) ] )
% 0.46/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 eqswap(
% 0.46/1.12 clause( 410, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add( Z
% 0.46/1.12 , Y ) ) ) ] )
% 0.46/1.12 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.46/1.12 ), Z ) ) ] )
% 0.46/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 paramod(
% 0.46/1.12 clause( 412, [ =( add( multiply( a, X ), c ), multiply(
% 0.46/1.12 'multiplicative_identity', add( X, c ) ) ) ] )
% 0.46/1.12 , clause( 15, [ =( add( a, c ), 'multiplicative_identity' ) ] )
% 0.46/1.12 , 0, clause( 410, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.46/1.12 add( Z, Y ) ) ) ] )
% 0.46/1.12 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, c ),
% 0.46/1.12 :=( Z, X )] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 paramod(
% 0.46/1.12 clause( 414, [ =( add( multiply( a, X ), c ), add( X, c ) ) ] )
% 0.46/1.12 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.46/1.12 , 0, clause( 412, [ =( add( multiply( a, X ), c ), multiply(
% 0.46/1.12 'multiplicative_identity', add( X, c ) ) ) ] )
% 0.46/1.12 , 0, 6, substitution( 0, [ :=( X, add( X, c ) )] ), substitution( 1, [ :=(
% 0.46/1.12 X, X )] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 30, [ =( add( multiply( a, X ), c ), add( X, c ) ) ] )
% 0.46/1.12 , clause( 414, [ =( add( multiply( a, X ), c ), add( X, c ) ) ] )
% 0.46/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 eqswap(
% 0.46/1.12 clause( 417, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X
% 0.46/1.12 , Z ) ) ) ] )
% 0.46/1.12 , clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.46/1.12 , Z ) ) ) ] )
% 0.46/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 paramod(
% 0.46/1.12 clause( 419, [ =( add( b, multiply( a, X ) ), multiply(
% 0.46/1.12 'multiplicative_identity', add( b, X ) ) ) ] )
% 0.46/1.12 , clause( 22, [ =( add( b, a ), 'multiplicative_identity' ) ] )
% 0.46/1.12 , 0, clause( 417, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.46/1.12 add( X, Z ) ) ) ] )
% 0.46/1.12 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a ),
% 0.46/1.12 :=( Z, X )] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 paramod(
% 0.46/1.12 clause( 421, [ =( add( b, multiply( a, X ) ), add( b, X ) ) ] )
% 0.46/1.12 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.46/1.12 , 0, clause( 419, [ =( add( b, multiply( a, X ) ), multiply(
% 0.46/1.12 'multiplicative_identity', add( b, X ) ) ) ] )
% 0.46/1.12 , 0, 6, substitution( 0, [ :=( X, add( b, X ) )] ), substitution( 1, [ :=(
% 0.46/1.12 X, X )] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 43, [ =( add( b, multiply( a, X ) ), add( b, X ) ) ] )
% 0.46/1.12 , clause( 421, [ =( add( b, multiply( a, X ) ), add( b, X ) ) ] )
% 0.46/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 eqswap(
% 0.46/1.12 clause( 424, [ =( add( b, X ), add( b, multiply( a, X ) ) ) ] )
% 0.46/1.12 , clause( 43, [ =( add( b, multiply( a, X ) ), add( b, X ) ) ] )
% 0.46/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 paramod(
% 0.46/1.12 clause( 426, [ =( add( b, c ), add( b, 'additive_identity' ) ) ] )
% 0.46/1.12 , clause( 17, [ =( multiply( a, c ), 'additive_identity' ) ] )
% 0.46/1.12 , 0, clause( 424, [ =( add( b, X ), add( b, multiply( a, X ) ) ) ] )
% 0.46/1.12 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, c )] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 paramod(
% 0.46/1.12 clause( 427, [ =( add( b, c ), b ) ] )
% 0.46/1.12 , clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.46/1.12 , 0, clause( 426, [ =( add( b, c ), add( b, 'additive_identity' ) ) ] )
% 0.46/1.12 , 0, 4, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 62, [ =( add( b, c ), b ) ] )
% 0.46/1.12 , clause( 427, [ =( add( b, c ), b ) ] )
% 0.46/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 eqswap(
% 0.46/1.12 clause( 430, [ =( add( X, c ), add( multiply( a, X ), c ) ) ] )
% 0.46/1.12 , clause( 30, [ =( add( multiply( a, X ), c ), add( X, c ) ) ] )
% 0.46/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 eqswap(
% 0.46/1.12 clause( 433, [ ~( =( b, c ) ) ] )
% 0.46/1.12 , clause( 18, [ ~( =( c, b ) ) ] )
% 0.46/1.12 , 0, substitution( 0, [] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 paramod(
% 0.46/1.12 clause( 434, [ =( add( b, c ), add( 'additive_identity', c ) ) ] )
% 0.46/1.12 , clause( 16, [ =( multiply( a, b ), 'additive_identity' ) ] )
% 0.46/1.12 , 0, clause( 430, [ =( add( X, c ), add( multiply( a, X ), c ) ) ] )
% 0.46/1.12 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, b )] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 paramod(
% 0.46/1.12 clause( 435, [ =( add( b, c ), c ) ] )
% 0.46/1.12 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.46/1.12 , 0, clause( 434, [ =( add( b, c ), add( 'additive_identity', c ) ) ] )
% 0.46/1.12 , 0, 4, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 paramod(
% 0.46/1.12 clause( 436, [ =( b, c ) ] )
% 0.46/1.12 , clause( 62, [ =( add( b, c ), b ) ] )
% 0.46/1.12 , 0, clause( 435, [ =( add( b, c ), c ) ] )
% 0.46/1.12 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 resolution(
% 0.46/1.12 clause( 437, [] )
% 0.46/1.12 , clause( 433, [ ~( =( b, c ) ) ] )
% 0.46/1.12 , 0, clause( 436, [ =( b, c ) ] )
% 0.46/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 subsumption(
% 0.46/1.12 clause( 272, [] )
% 0.46/1.12 , clause( 437, [] )
% 0.46/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 end.
% 0.46/1.12
% 0.46/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.12
% 0.46/1.12 Memory use:
% 0.46/1.12
% 0.46/1.12 space for terms: 3223
% 0.46/1.12 space for clauses: 27880
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 clauses generated: 1010
% 0.46/1.12 clauses kept: 273
% 0.46/1.12 clauses selected: 70
% 0.46/1.12 clauses deleted: 1
% 0.46/1.12 clauses inuse deleted: 0
% 0.46/1.12
% 0.46/1.12 subsentry: 869
% 0.46/1.12 literals s-matched: 488
% 0.46/1.12 literals matched: 488
% 0.46/1.12 full subsumption: 0
% 0.46/1.12
% 0.46/1.12 checksum: -1364804312
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 Bliksem ended
%------------------------------------------------------------------------------