%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP665-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 : Sat Jul 16 07:38:31 EDT 2022
% Result : Unsatisfiable 0.71s 1.07s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP665-11 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jun 13 04:03:12 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.71/1.07 *** allocated 10000 integers for termspace/termends
% 0.71/1.07 *** allocated 10000 integers for clauses
% 0.71/1.07 *** allocated 10000 integers for justifications
% 0.71/1.07 Bliksem 1.12
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Automatic Strategy Selection
% 0.71/1.07
% 0.71/1.07 Clauses:
% 0.71/1.07 [
% 0.71/1.07 [ =( mult( X, ld( X, Y ) ), Y ) ],
% 0.71/1.07 [ =( ld( X, mult( X, Y ) ), Y ) ],
% 0.71/1.07 [ =( mult( rd( X, Y ), Y ), X ) ],
% 0.71/1.07 [ =( rd( mult( X, Y ), Y ), X ) ],
% 0.71/1.07 [ =( mult( X, unit ), X ) ],
% 0.71/1.07 [ =( mult( unit, X ), X ) ],
% 0.71/1.07 [ =( mult( X, mult( Y, Z ) ), mult( rd( mult( X, Y ), X ), mult( X, Z )
% 0.71/1.07 ) ) ],
% 0.71/1.07 [ =( mult( mult( X, Y ), Z ), mult( mult( X, Z ), ld( Z, mult( Y, Z ) )
% 0.71/1.07 ) ) ],
% 0.71/1.07 [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ],
% 0.71/1.07 [ ~( =( mult( mult( x0, 'op_c' ), x1 ), mult( x0, mult( 'op_c', x1 ) ) )
% 0.71/1.07 ) ]
% 0.71/1.07 ] .
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.07 This is a pure equality problem
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Options Used:
% 0.71/1.07
% 0.71/1.07 useres = 1
% 0.71/1.07 useparamod = 1
% 0.71/1.07 useeqrefl = 1
% 0.71/1.07 useeqfact = 1
% 0.71/1.07 usefactor = 1
% 0.71/1.07 usesimpsplitting = 0
% 0.71/1.07 usesimpdemod = 5
% 0.71/1.07 usesimpres = 3
% 0.71/1.07
% 0.71/1.07 resimpinuse = 1000
% 0.71/1.07 resimpclauses = 20000
% 0.71/1.07 substype = eqrewr
% 0.71/1.07 backwardsubs = 1
% 0.71/1.07 selectoldest = 5
% 0.71/1.07
% 0.71/1.07 litorderings [0] = split
% 0.71/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.07
% 0.71/1.07 termordering = kbo
% 0.71/1.07
% 0.71/1.07 litapriori = 0
% 0.71/1.07 termapriori = 1
% 0.71/1.07 litaposteriori = 0
% 0.71/1.07 termaposteriori = 0
% 0.71/1.07 demodaposteriori = 0
% 0.71/1.07 ordereqreflfact = 0
% 0.71/1.07
% 0.71/1.07 litselect = negord
% 0.71/1.07
% 0.71/1.07 maxweight = 15
% 0.71/1.07 maxdepth = 30000
% 0.71/1.07 maxlength = 115
% 0.71/1.07 maxnrvars = 195
% 0.71/1.07 excuselevel = 1
% 0.71/1.07 increasemaxweight = 1
% 0.71/1.07
% 0.71/1.07 maxselected = 10000000
% 0.71/1.07 maxnrclauses = 10000000
% 0.71/1.07
% 0.71/1.07 showgenerated = 0
% 0.71/1.07 showkept = 0
% 0.71/1.07 showselected = 0
% 0.71/1.07 showdeleted = 0
% 0.71/1.07 showresimp = 1
% 0.71/1.07 showstatus = 2000
% 0.71/1.07
% 0.71/1.07 prologoutput = 1
% 0.71/1.07 nrgoals = 5000000
% 0.71/1.07 totalproof = 1
% 0.71/1.07
% 0.71/1.07 Symbols occurring in the translation:
% 0.71/1.07
% 0.71/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.07 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.07 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.71/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.07 ld [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.71/1.07 mult [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.71/1.07 rd [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.71/1.07 unit [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.07 'op_c' [46, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.71/1.07 x0 [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.71/1.07 x1 [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Starting Search:
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Bliksems!, er is een bewijs:
% 0.71/1.07 % SZS status Unsatisfiable
% 0.71/1.07 % SZS output start Refutation
% 0.71/1.07
% 0.71/1.07 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 6, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X, mult(
% 0.71/1.07 Y, Z ) ) ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 7, [ =( mult( mult( X, Z ), ld( Z, mult( Y, Z ) ) ), mult( mult( X
% 0.71/1.07 , Y ), Z ) ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 9, [ ~( =( mult( x0, mult( 'op_c', x1 ) ), mult( mult( x0, 'op_c' )
% 0.71/1.07 , x1 ) ) ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 19, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 20, [ =( ld( X, mult( 'op_c', X ) ), 'op_c' ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 22, [ =( rd( X, 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 26, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y ) )
% 0.71/1.07 ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 39, [ =( mult( mult( Y, X ), 'op_c' ), mult( mult( Y, 'op_c' ), X )
% 0.71/1.07 ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 56, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ), Y )
% 0.71/1.07 ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 93, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y )
% 0.71/1.07 ) ] )
% 0.71/1.07 .
% 0.71/1.07 clause( 94, [] )
% 0.71/1.07 .
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 % SZS output end Refutation
% 0.71/1.07 found a proof!
% 0.71/1.07
% 0.71/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.07
% 0.71/1.07 initialclauses(
% 0.71/1.07 [ clause( 96, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.71/1.07 , clause( 97, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.71/1.07 , clause( 98, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.71/1.07 , clause( 99, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.71/1.07 , clause( 100, [ =( mult( X, unit ), X ) ] )
% 0.71/1.07 , clause( 101, [ =( mult( unit, X ), X ) ] )
% 0.71/1.07 , clause( 102, [ =( mult( X, mult( Y, Z ) ), mult( rd( mult( X, Y ), X ),
% 0.71/1.07 mult( X, Z ) ) ) ] )
% 0.71/1.07 , clause( 103, [ =( mult( mult( X, Y ), Z ), mult( mult( X, Z ), ld( Z,
% 0.71/1.07 mult( Y, Z ) ) ) ) ] )
% 0.71/1.07 , clause( 104, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.71/1.07 , clause( 105, [ ~( =( mult( mult( x0, 'op_c' ), x1 ), mult( x0, mult(
% 0.71/1.07 'op_c', x1 ) ) ) ) ] )
% 0.71/1.07 ] ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.71/1.07 , clause( 97, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.71/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.07 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.71/1.07 , clause( 98, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.71/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.07 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 117, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X,
% 0.71/1.07 mult( Y, Z ) ) ) ] )
% 0.71/1.07 , clause( 102, [ =( mult( X, mult( Y, Z ) ), mult( rd( mult( X, Y ), X ),
% 0.71/1.07 mult( X, Z ) ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 6, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X, mult(
% 0.71/1.07 Y, Z ) ) ) ] )
% 0.71/1.07 , clause( 117, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X,
% 0.71/1.07 mult( Y, Z ) ) ) ] )
% 0.71/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 125, [ =( mult( mult( X, Z ), ld( Z, mult( Y, Z ) ) ), mult( mult(
% 0.71/1.07 X, Y ), Z ) ) ] )
% 0.71/1.07 , clause( 103, [ =( mult( mult( X, Y ), Z ), mult( mult( X, Z ), ld( Z,
% 0.71/1.07 mult( Y, Z ) ) ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 7, [ =( mult( mult( X, Z ), ld( Z, mult( Y, Z ) ) ), mult( mult( X
% 0.71/1.07 , Y ), Z ) ) ] )
% 0.71/1.07 , clause( 125, [ =( mult( mult( X, Z ), ld( Z, mult( Y, Z ) ) ), mult( mult(
% 0.71/1.07 X, Y ), Z ) ) ] )
% 0.71/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.71/1.07 , clause( 104, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.71/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 144, [ ~( =( mult( x0, mult( 'op_c', x1 ) ), mult( mult( x0, 'op_c'
% 0.71/1.07 ), x1 ) ) ) ] )
% 0.71/1.07 , clause( 105, [ ~( =( mult( mult( x0, 'op_c' ), x1 ), mult( x0, mult(
% 0.71/1.07 'op_c', x1 ) ) ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 9, [ ~( =( mult( x0, mult( 'op_c', x1 ) ), mult( mult( x0, 'op_c' )
% 0.71/1.07 , x1 ) ) ) ] )
% 0.71/1.07 , clause( 144, [ ~( =( mult( x0, mult( 'op_c', x1 ) ), mult( mult( x0,
% 0.71/1.07 'op_c' ), x1 ) ) ) ] )
% 0.71/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 146, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.71/1.07 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 paramod(
% 0.71/1.07 clause( 151, [ =( X, ld( 'op_c', mult( X, 'op_c' ) ) ) ] )
% 0.71/1.07 , clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.71/1.07 , 0, clause( 146, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.71/1.07 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 'op_c'
% 0.71/1.07 ), :=( Y, X )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 152, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.71/1.07 , clause( 151, [ =( X, ld( 'op_c', mult( X, 'op_c' ) ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 19, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.71/1.07 , clause( 152, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.71/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 153, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.71/1.07 , clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 154, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.71/1.07 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 paramod(
% 0.71/1.07 clause( 155, [ =( 'op_c', ld( X, mult( 'op_c', X ) ) ) ] )
% 0.71/1.07 , clause( 153, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.71/1.07 , 0, clause( 154, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.71/1.07 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.07 :=( Y, 'op_c' )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 156, [ =( ld( X, mult( 'op_c', X ) ), 'op_c' ) ] )
% 0.71/1.07 , clause( 155, [ =( 'op_c', ld( X, mult( 'op_c', X ) ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 20, [ =( ld( X, mult( 'op_c', X ) ), 'op_c' ) ] )
% 0.71/1.07 , clause( 156, [ =( ld( X, mult( 'op_c', X ) ), 'op_c' ) ] )
% 0.71/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 158, [ =( X, ld( 'op_c', mult( X, 'op_c' ) ) ) ] )
% 0.71/1.07 , clause( 19, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 paramod(
% 0.71/1.07 clause( 159, [ =( rd( X, 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.71/1.07 , clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.71/1.07 , 0, clause( 158, [ =( X, ld( 'op_c', mult( X, 'op_c' ) ) ) ] )
% 0.71/1.07 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'op_c' )] ), substitution( 1
% 0.71/1.07 , [ :=( X, rd( X, 'op_c' ) )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 22, [ =( rd( X, 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.71/1.07 , clause( 159, [ =( rd( X, 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.71/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 162, [ =( mult( X, mult( Y, Z ) ), mult( rd( mult( X, Y ), X ),
% 0.71/1.07 mult( X, Z ) ) ) ] )
% 0.71/1.07 , clause( 6, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X,
% 0.71/1.07 mult( Y, Z ) ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 paramod(
% 0.71/1.07 clause( 164, [ =( mult( 'op_c', mult( X, Y ) ), mult( ld( 'op_c', mult(
% 0.71/1.07 'op_c', X ) ), mult( 'op_c', Y ) ) ) ] )
% 0.71/1.07 , clause( 22, [ =( rd( X, 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.71/1.07 , 0, clause( 162, [ =( mult( X, mult( Y, Z ) ), mult( rd( mult( X, Y ), X )
% 0.71/1.07 , mult( X, Z ) ) ) ] )
% 0.71/1.07 , 0, 7, substitution( 0, [ :=( X, mult( 'op_c', X ) )] ), substitution( 1
% 0.71/1.07 , [ :=( X, 'op_c' ), :=( Y, X ), :=( Z, Y )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 paramod(
% 0.71/1.07 clause( 165, [ =( mult( 'op_c', mult( X, Y ) ), mult( X, mult( 'op_c', Y )
% 0.71/1.07 ) ) ] )
% 0.71/1.07 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.71/1.07 , 0, clause( 164, [ =( mult( 'op_c', mult( X, Y ) ), mult( ld( 'op_c', mult(
% 0.71/1.07 'op_c', X ) ), mult( 'op_c', Y ) ) ) ] )
% 0.71/1.07 , 0, 7, substitution( 0, [ :=( X, 'op_c' ), :=( Y, X )] ), substitution( 1
% 0.71/1.07 , [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 166, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y )
% 0.71/1.07 ) ) ] )
% 0.71/1.07 , clause( 165, [ =( mult( 'op_c', mult( X, Y ) ), mult( X, mult( 'op_c', Y
% 0.71/1.07 ) ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 26, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y ) )
% 0.71/1.07 ) ] )
% 0.71/1.07 , clause( 166, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y
% 0.71/1.07 ) ) ) ] )
% 0.71/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.07 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 168, [ =( mult( mult( X, Z ), Y ), mult( mult( X, Y ), ld( Y, mult(
% 0.71/1.07 Z, Y ) ) ) ) ] )
% 0.71/1.07 , clause( 7, [ =( mult( mult( X, Z ), ld( Z, mult( Y, Z ) ) ), mult( mult(
% 0.71/1.07 X, Y ), Z ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 paramod(
% 0.71/1.07 clause( 169, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( X, Y ), 'op_c'
% 0.71/1.07 ) ) ] )
% 0.71/1.07 , clause( 20, [ =( ld( X, mult( 'op_c', X ) ), 'op_c' ) ] )
% 0.71/1.07 , 0, clause( 168, [ =( mult( mult( X, Z ), Y ), mult( mult( X, Y ), ld( Y,
% 0.71/1.07 mult( Z, Y ) ) ) ) ] )
% 0.71/1.07 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.07 :=( Y, Y ), :=( Z, 'op_c' )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 170, [ =( mult( mult( X, Y ), 'op_c' ), mult( mult( X, 'op_c' ), Y
% 0.71/1.07 ) ) ] )
% 0.71/1.07 , clause( 169, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( X, Y ),
% 0.71/1.07 'op_c' ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 39, [ =( mult( mult( Y, X ), 'op_c' ), mult( mult( Y, 'op_c' ), X )
% 0.71/1.07 ) ] )
% 0.71/1.07 , clause( 170, [ =( mult( mult( X, Y ), 'op_c' ), mult( mult( X, 'op_c' ),
% 0.71/1.07 Y ) ) ] )
% 0.71/1.07 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.07 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 171, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( X, Y ), 'op_c'
% 0.71/1.07 ) ) ] )
% 0.71/1.07 , clause( 39, [ =( mult( mult( Y, X ), 'op_c' ), mult( mult( Y, 'op_c' ), X
% 0.71/1.07 ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 172, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.71/1.07 , clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 paramod(
% 0.71/1.07 clause( 178, [ =( mult( mult( X, 'op_c' ), Y ), mult( 'op_c', mult( X, Y )
% 0.71/1.07 ) ) ] )
% 0.71/1.07 , clause( 172, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.71/1.07 , 0, clause( 171, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( X, Y ),
% 0.71/1.07 'op_c' ) ) ] )
% 0.71/1.07 , 0, 6, substitution( 0, [ :=( X, mult( X, Y ) )] ), substitution( 1, [
% 0.71/1.07 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 190, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ), Y
% 0.71/1.07 ) ) ] )
% 0.71/1.07 , clause( 178, [ =( mult( mult( X, 'op_c' ), Y ), mult( 'op_c', mult( X, Y
% 0.71/1.07 ) ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 56, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ), Y )
% 0.71/1.07 ) ] )
% 0.71/1.07 , clause( 190, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ),
% 0.71/1.07 Y ) ) ] )
% 0.71/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.07 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 paramod(
% 0.71/1.07 clause( 195, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y
% 0.71/1.07 ) ) ] )
% 0.71/1.07 , clause( 56, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ), Y
% 0.71/1.07 ) ) ] )
% 0.71/1.07 , 0, clause( 26, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X,
% 0.71/1.07 Y ) ) ) ] )
% 0.71/1.07 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.07 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 93, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y )
% 0.71/1.07 ) ] )
% 0.71/1.07 , clause( 195, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ),
% 0.71/1.07 Y ) ) ] )
% 0.71/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.07 )] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 197, [ =( mult( mult( X, 'op_c' ), Y ), mult( X, mult( 'op_c', Y )
% 0.71/1.07 ) ) ] )
% 0.71/1.07 , clause( 93, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y
% 0.71/1.07 ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 eqswap(
% 0.71/1.07 clause( 198, [ ~( =( mult( mult( x0, 'op_c' ), x1 ), mult( x0, mult( 'op_c'
% 0.71/1.07 , x1 ) ) ) ) ] )
% 0.71/1.07 , clause( 9, [ ~( =( mult( x0, mult( 'op_c', x1 ) ), mult( mult( x0, 'op_c'
% 0.71/1.07 ), x1 ) ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [] )).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 resolution(
% 0.71/1.07 clause( 199, [] )
% 0.71/1.07 , clause( 198, [ ~( =( mult( mult( x0, 'op_c' ), x1 ), mult( x0, mult(
% 0.71/1.07 'op_c', x1 ) ) ) ) ] )
% 0.71/1.07 , 0, clause( 197, [ =( mult( mult( X, 'op_c' ), Y ), mult( X, mult( 'op_c'
% 0.71/1.07 , Y ) ) ) ] )
% 0.71/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x0 ), :=( Y, x1 )] )
% 0.71/1.07 ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 subsumption(
% 0.71/1.07 clause( 94, [] )
% 0.71/1.07 , clause( 199, [] )
% 0.71/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 end.
% 0.71/1.07
% 0.71/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.07
% 0.71/1.07 Memory use:
% 0.71/1.07
% 0.71/1.07 space for terms: 1399
% 0.71/1.07 space for clauses: 12280
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 clauses generated: 656
% 0.71/1.07 clauses kept: 95
% 0.71/1.07 clauses selected: 39
% 0.71/1.07 clauses deleted: 3
% 0.71/1.07 clauses inuse deleted: 0
% 0.71/1.07
% 0.71/1.07 subsentry: 628
% 0.71/1.07 literals s-matched: 195
% 0.71/1.07 literals matched: 192
% 0.71/1.07 full subsumption: 0
% 0.71/1.07
% 0.71/1.07 checksum: -1137588882
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Bliksem ended
%------------------------------------------------------------------------------