TSTP Solution File: BOO016-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO016-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : Thu Jul 14 23:30:40 EDT 2022
% Result : Unsatisfiable 0.71s 1.08s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO016-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Wed Jun 1 15:45:30 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.71/1.08 *** allocated 10000 integers for termspace/termends
% 0.71/1.08 *** allocated 10000 integers for clauses
% 0.71/1.08 *** allocated 10000 integers for justifications
% 0.71/1.08 Bliksem 1.12
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Automatic Strategy Selection
% 0.71/1.08
% 0.71/1.08 Clauses:
% 0.71/1.08 [
% 0.71/1.08 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.71/1.08 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.71/1.08 [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add( Y, Z ) ) )
% 0.71/1.08 ],
% 0.71/1.08 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.71/1.08 ],
% 0.71/1.08 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.71/1.08 ) ) ],
% 0.71/1.08 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.71/1.08 ) ) ],
% 0.71/1.08 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.71/1.08 [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ],
% 0.71/1.08 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.71/1.08 [ =( multiply( inverse( X ), X ), 'additive_identity' ) ],
% 0.71/1.08 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.71/1.08 [ =( multiply( 'multiplicative_identity', X ), X ) ],
% 0.71/1.08 [ =( add( X, 'additive_identity' ), X ) ],
% 0.71/1.08 [ =( add( 'additive_identity', X ), X ) ],
% 0.71/1.08 [ =( multiply( x, y ), z ) ],
% 0.71/1.08 [ ~( =( add( x, z ), x ) ) ]
% 0.71/1.08 ] .
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.08 This is a pure equality problem
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Options Used:
% 0.71/1.08
% 0.71/1.08 useres = 1
% 0.71/1.08 useparamod = 1
% 0.71/1.08 useeqrefl = 1
% 0.71/1.08 useeqfact = 1
% 0.71/1.08 usefactor = 1
% 0.71/1.08 usesimpsplitting = 0
% 0.71/1.08 usesimpdemod = 5
% 0.71/1.08 usesimpres = 3
% 0.71/1.08
% 0.71/1.08 resimpinuse = 1000
% 0.71/1.08 resimpclauses = 20000
% 0.71/1.08 substype = eqrewr
% 0.71/1.08 backwardsubs = 1
% 0.71/1.08 selectoldest = 5
% 0.71/1.08
% 0.71/1.08 litorderings [0] = split
% 0.71/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.08
% 0.71/1.08 termordering = kbo
% 0.71/1.08
% 0.71/1.08 litapriori = 0
% 0.71/1.08 termapriori = 1
% 0.71/1.08 litaposteriori = 0
% 0.71/1.08 termaposteriori = 0
% 0.71/1.08 demodaposteriori = 0
% 0.71/1.08 ordereqreflfact = 0
% 0.71/1.08
% 0.71/1.08 litselect = negord
% 0.71/1.08
% 0.71/1.08 maxweight = 15
% 0.71/1.08 maxdepth = 30000
% 0.71/1.08 maxlength = 115
% 0.71/1.08 maxnrvars = 195
% 0.71/1.08 excuselevel = 1
% 0.71/1.08 increasemaxweight = 1
% 0.71/1.08
% 0.71/1.08 maxselected = 10000000
% 0.71/1.08 maxnrclauses = 10000000
% 0.71/1.08
% 0.71/1.08 showgenerated = 0
% 0.71/1.08 showkept = 0
% 0.71/1.08 showselected = 0
% 0.71/1.08 showdeleted = 0
% 0.71/1.08 showresimp = 1
% 0.71/1.08 showstatus = 2000
% 0.71/1.08
% 0.71/1.08 prologoutput = 1
% 0.71/1.08 nrgoals = 5000000
% 0.71/1.08 totalproof = 1
% 0.71/1.08
% 0.71/1.08 Symbols occurring in the translation:
% 0.71/1.08
% 0.71/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.08 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.71/1.08 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.71/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.08 add [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.71/1.08 multiply [42, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.71/1.08 inverse [44, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.08 'multiplicative_identity' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.08 'additive_identity' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.08 x [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.71/1.08 y [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.71/1.08 z [49, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Starting Search:
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Bliksems!, er is een bewijs:
% 0.71/1.08 % SZS status Unsatisfiable
% 0.71/1.08 % SZS output start Refutation
% 0.71/1.08
% 0.71/1.08 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y )
% 0.71/1.08 , Z ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 0.71/1.08 , Y ), Z ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 14, [ =( multiply( x, y ), z ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 15, [ ~( =( add( x, z ), x ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 18, [ =( multiply( y, x ), z ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 20, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 35, [ =( add( 'multiplicative_identity', X ),
% 0.71/1.08 'multiplicative_identity' ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 77, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 85, [] )
% 0.71/1.08 .
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 % SZS output end Refutation
% 0.71/1.08 found a proof!
% 0.71/1.08
% 0.71/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.08
% 0.71/1.08 initialclauses(
% 0.71/1.08 [ clause( 87, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.71/1.08 , clause( 88, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.71/1.08 , clause( 89, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add(
% 0.71/1.08 Y, Z ) ) ) ] )
% 0.71/1.08 , clause( 90, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.71/1.08 X, Z ) ) ) ] )
% 0.71/1.08 , clause( 91, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.71/1.08 multiply( Y, Z ) ) ) ] )
% 0.71/1.08 , clause( 92, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.71/1.08 multiply( X, Z ) ) ) ] )
% 0.71/1.08 , clause( 93, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.71/1.08 , clause( 94, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.71/1.08 , clause( 95, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.71/1.08 , clause( 96, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.71/1.08 , clause( 97, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.71/1.08 , clause( 98, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.71/1.08 , clause( 99, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.71/1.08 , clause( 100, [ =( add( 'additive_identity', X ), X ) ] )
% 0.71/1.08 , clause( 101, [ =( multiply( x, y ), z ) ] )
% 0.71/1.08 , clause( 102, [ ~( =( add( x, z ), x ) ) ] )
% 0.71/1.08 ] ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.71/1.08 , clause( 88, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 103, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.71/1.08 ), Z ) ) ] )
% 0.71/1.08 , clause( 89, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add(
% 0.71/1.08 Y, Z ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y )
% 0.71/1.08 , Z ) ) ] )
% 0.71/1.08 , clause( 103, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X
% 0.71/1.08 , Y ), Z ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 106, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.71/1.08 X, Y ), Z ) ) ] )
% 0.71/1.08 , clause( 91, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.71/1.08 multiply( Y, Z ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 0.71/1.08 , Y ), Z ) ) ] )
% 0.71/1.08 , clause( 106, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply(
% 0.71/1.08 add( X, Y ), Z ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.71/1.08 , clause( 94, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.71/1.08 , clause( 97, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.71/1.08 , clause( 98, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 14, [ =( multiply( x, y ), z ) ] )
% 0.71/1.08 , clause( 101, [ =( multiply( x, y ), z ) ] )
% 0.71/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 15, [ ~( =( add( x, z ), x ) ) ] )
% 0.71/1.08 , clause( 102, [ ~( =( add( x, z ), x ) ) ] )
% 0.71/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 159, [ =( z, multiply( x, y ) ) ] )
% 0.71/1.08 , clause( 14, [ =( multiply( x, y ), z ) ] )
% 0.71/1.08 , 0, substitution( 0, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 160, [ =( z, multiply( y, x ) ) ] )
% 0.71/1.08 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.71/1.08 , 0, clause( 159, [ =( z, multiply( x, y ) ) ] )
% 0.71/1.08 , 0, 2, substitution( 0, [ :=( X, x ), :=( Y, y )] ), substitution( 1, [] )
% 0.71/1.08 ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 163, [ =( multiply( y, x ), z ) ] )
% 0.71/1.08 , clause( 160, [ =( z, multiply( y, x ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 18, [ =( multiply( y, x ), z ) ] )
% 0.71/1.08 , clause( 163, [ =( multiply( y, x ), z ) ] )
% 0.71/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 165, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add( Z
% 0.71/1.08 , Y ) ) ) ] )
% 0.71/1.08 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.71/1.08 ), Z ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 167, [ =( add( multiply( inverse( X ), Y ), X ), multiply(
% 0.71/1.08 'multiplicative_identity', add( Y, X ) ) ) ] )
% 0.71/1.08 , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.71/1.08 , 0, clause( 165, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.71/1.08 add( Z, Y ) ) ) ] )
% 0.71/1.08 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.71/1.08 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 169, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ] )
% 0.71/1.08 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.71/1.08 , 0, clause( 167, [ =( add( multiply( inverse( X ), Y ), X ), multiply(
% 0.71/1.08 'multiplicative_identity', add( Y, X ) ) ) ] )
% 0.71/1.08 , 0, 7, substitution( 0, [ :=( X, add( Y, X ) )] ), substitution( 1, [ :=(
% 0.71/1.08 X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 20, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ] )
% 0.71/1.08 , clause( 169, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 172, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X ) ) ] )
% 0.71/1.08 , clause( 20, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 174, [ =( add( 'multiplicative_identity', X ), add( inverse( X ), X
% 0.71/1.08 ) ) ] )
% 0.71/1.08 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.71/1.08 , 0, clause( 172, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X ) )
% 0.71/1.08 ] )
% 0.71/1.08 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.71/1.08 :=( X, X ), :=( Y, 'multiplicative_identity' )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 175, [ =( add( 'multiplicative_identity', X ),
% 0.71/1.08 'multiplicative_identity' ) ] )
% 0.71/1.08 , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.71/1.08 , 0, clause( 174, [ =( add( 'multiplicative_identity', X ), add( inverse( X
% 0.71/1.08 ), X ) ) ] )
% 0.71/1.08 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.08 ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 35, [ =( add( 'multiplicative_identity', X ),
% 0.71/1.08 'multiplicative_identity' ) ] )
% 0.71/1.08 , clause( 175, [ =( add( 'multiplicative_identity', X ),
% 0.71/1.08 'multiplicative_identity' ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 178, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.71/1.08 multiply( Z, Y ) ) ) ] )
% 0.71/1.08 , clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.71/1.08 X, Y ), Z ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 181, [ =( multiply( add( 'multiplicative_identity', X ), Y ), add(
% 0.71/1.08 Y, multiply( X, Y ) ) ) ] )
% 0.71/1.08 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.71/1.08 , 0, clause( 178, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.71/1.08 multiply( Z, Y ) ) ) ] )
% 0.71/1.08 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 0.71/1.08 'multiplicative_identity' ), :=( Y, Y ), :=( Z, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 183, [ =( multiply( 'multiplicative_identity', Y ), add( Y,
% 0.71/1.08 multiply( X, Y ) ) ) ] )
% 0.71/1.08 , clause( 35, [ =( add( 'multiplicative_identity', X ),
% 0.71/1.08 'multiplicative_identity' ) ] )
% 0.71/1.08 , 0, clause( 181, [ =( multiply( add( 'multiplicative_identity', X ), Y ),
% 0.71/1.08 add( Y, multiply( X, Y ) ) ) ] )
% 0.71/1.08 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.08 :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 184, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.71/1.08 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.71/1.08 , 0, clause( 183, [ =( multiply( 'multiplicative_identity', Y ), add( Y,
% 0.71/1.08 multiply( X, Y ) ) ) ] )
% 0.71/1.08 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.71/1.08 :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 185, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.71/1.08 , clause( 184, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 77, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.71/1.08 , clause( 185, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 187, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.71/1.08 , clause( 77, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 188, [ ~( =( x, add( x, z ) ) ) ] )
% 0.71/1.08 , clause( 15, [ ~( =( add( x, z ), x ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 189, [ =( x, add( x, z ) ) ] )
% 0.71/1.08 , clause( 18, [ =( multiply( y, x ), z ) ] )
% 0.71/1.08 , 0, clause( 187, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.71/1.08 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 0.71/1.08 ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 resolution(
% 0.71/1.08 clause( 190, [] )
% 0.71/1.08 , clause( 188, [ ~( =( x, add( x, z ) ) ) ] )
% 0.71/1.08 , 0, clause( 189, [ =( x, add( x, z ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 85, [] )
% 0.71/1.08 , clause( 190, [] )
% 0.71/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 end.
% 0.71/1.08
% 0.71/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.08
% 0.71/1.08 Memory use:
% 0.71/1.08
% 0.71/1.08 space for terms: 1255
% 0.71/1.08 space for clauses: 9636
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 clauses generated: 306
% 0.71/1.08 clauses kept: 86
% 0.71/1.08 clauses selected: 26
% 0.71/1.08 clauses deleted: 1
% 0.71/1.08 clauses inuse deleted: 0
% 0.71/1.08
% 0.71/1.08 subsentry: 453
% 0.71/1.08 literals s-matched: 239
% 0.71/1.08 literals matched: 239
% 0.71/1.08 full subsumption: 0
% 0.71/1.08
% 0.71/1.08 checksum: -1376569922
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Bliksem ended
%------------------------------------------------------------------------------