TSTP Solution File: GRP665-10 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP665-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 0.75s 1.16s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : GRP665-10 : TPTP v8.1.0. Released v8.1.0.
% 0.04/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n013.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 : Mon Jun 13 14:35:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.75/1.16 *** allocated 10000 integers for termspace/termends
% 0.75/1.16 *** allocated 10000 integers for clauses
% 0.75/1.16 *** allocated 10000 integers for justifications
% 0.75/1.16 Bliksem 1.12
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Automatic Strategy Selection
% 0.75/1.16
% 0.75/1.16 Clauses:
% 0.75/1.16 [
% 0.75/1.16 [ =( mult( X, ld( X, Y ) ), Y ) ],
% 0.75/1.16 [ =( ld( X, mult( X, Y ) ), Y ) ],
% 0.75/1.16 [ =( mult( rd( X, Y ), Y ), X ) ],
% 0.75/1.16 [ =( rd( mult( X, Y ), Y ), X ) ],
% 0.75/1.16 [ =( mult( X, unit ), X ) ],
% 0.75/1.16 [ =( mult( unit, X ), X ) ],
% 0.75/1.16 [ =( mult( X, mult( Y, Z ) ), mult( rd( mult( X, Y ), X ), mult( X, Z )
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ =( mult( mult( X, Y ), Z ), mult( mult( X, Z ), ld( Z, mult( Y, Z ) )
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ],
% 0.75/1.16 [ ~( =( mult( 'op_c', mult( x0, x1 ) ), mult( mult( 'op_c', x0 ), x1 ) )
% 0.75/1.16 ) ]
% 0.75/1.16 ] .
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 percentage equality = 1.000000, percentage horn = 1.000000
% 0.75/1.16 This is a pure equality problem
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Options Used:
% 0.75/1.16
% 0.75/1.16 useres = 1
% 0.75/1.16 useparamod = 1
% 0.75/1.16 useeqrefl = 1
% 0.75/1.16 useeqfact = 1
% 0.75/1.16 usefactor = 1
% 0.75/1.16 usesimpsplitting = 0
% 0.75/1.16 usesimpdemod = 5
% 0.75/1.16 usesimpres = 3
% 0.75/1.16
% 0.75/1.16 resimpinuse = 1000
% 0.75/1.16 resimpclauses = 20000
% 0.75/1.16 substype = eqrewr
% 0.75/1.16 backwardsubs = 1
% 0.75/1.16 selectoldest = 5
% 0.75/1.16
% 0.75/1.16 litorderings [0] = split
% 0.75/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.16
% 0.75/1.16 termordering = kbo
% 0.75/1.16
% 0.75/1.16 litapriori = 0
% 0.75/1.16 termapriori = 1
% 0.75/1.16 litaposteriori = 0
% 0.75/1.16 termaposteriori = 0
% 0.75/1.16 demodaposteriori = 0
% 0.75/1.16 ordereqreflfact = 0
% 0.75/1.16
% 0.75/1.16 litselect = negord
% 0.75/1.16
% 0.75/1.16 maxweight = 15
% 0.75/1.16 maxdepth = 30000
% 0.75/1.16 maxlength = 115
% 0.75/1.16 maxnrvars = 195
% 0.75/1.16 excuselevel = 1
% 0.75/1.16 increasemaxweight = 1
% 0.75/1.16
% 0.75/1.16 maxselected = 10000000
% 0.75/1.16 maxnrclauses = 10000000
% 0.75/1.16
% 0.75/1.16 showgenerated = 0
% 0.75/1.16 showkept = 0
% 0.75/1.16 showselected = 0
% 0.75/1.16 showdeleted = 0
% 0.75/1.16 showresimp = 1
% 0.75/1.16 showstatus = 2000
% 0.75/1.16
% 0.75/1.16 prologoutput = 1
% 0.75/1.16 nrgoals = 5000000
% 0.75/1.16 totalproof = 1
% 0.75/1.16
% 0.75/1.16 Symbols occurring in the translation:
% 0.75/1.16
% 0.75/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.16 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.75/1.16 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.75/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.16 ld [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.75/1.16 mult [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.75/1.16 rd [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.75/1.16 unit [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.75/1.16 'op_c' [46, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.75/1.16 x0 [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.75/1.16 x1 [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Starting Search:
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Bliksems!, er is een bewijs:
% 0.75/1.16 % SZS status Unsatisfiable
% 0.75/1.16 % SZS output start Refutation
% 0.75/1.16
% 0.75/1.16 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 6, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X, mult(
% 0.75/1.16 Y, Z ) ) ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 7, [ =( mult( mult( X, Z ), ld( Z, mult( Y, Z ) ) ), mult( mult( X
% 0.75/1.16 , Y ), Z ) ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 9, [ ~( =( mult( 'op_c', mult( x0, x1 ) ), mult( mult( 'op_c', x0 )
% 0.75/1.16 , x1 ) ) ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 19, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 20, [ =( ld( X, mult( 'op_c', X ) ), 'op_c' ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 22, [ =( rd( X, 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 26, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y ) )
% 0.75/1.16 ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 39, [ =( mult( mult( Y, X ), 'op_c' ), mult( mult( Y, 'op_c' ), X )
% 0.75/1.16 ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 56, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ), Y )
% 0.75/1.16 ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 65, [ ~( =( mult( mult( 'op_c', x0 ), x1 ), mult( mult( x0, 'op_c'
% 0.75/1.16 ), x1 ) ) ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 93, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y )
% 0.75/1.16 ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 97, [ =( mult( mult( 'op_c', X ), Y ), mult( mult( X, 'op_c' ), Y )
% 0.75/1.16 ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 276, [] )
% 0.75/1.16 .
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 % SZS output end Refutation
% 0.75/1.16 found a proof!
% 0.75/1.16
% 0.75/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.16
% 0.75/1.16 initialclauses(
% 0.75/1.16 [ clause( 278, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.75/1.16 , clause( 279, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.75/1.16 , clause( 280, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.75/1.16 , clause( 281, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.75/1.16 , clause( 282, [ =( mult( X, unit ), X ) ] )
% 0.75/1.16 , clause( 283, [ =( mult( unit, X ), X ) ] )
% 0.75/1.16 , clause( 284, [ =( mult( X, mult( Y, Z ) ), mult( rd( mult( X, Y ), X ),
% 0.75/1.16 mult( X, Z ) ) ) ] )
% 0.75/1.16 , clause( 285, [ =( mult( mult( X, Y ), Z ), mult( mult( X, Z ), ld( Z,
% 0.75/1.16 mult( Y, Z ) ) ) ) ] )
% 0.75/1.16 , clause( 286, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.75/1.16 , clause( 287, [ ~( =( mult( 'op_c', mult( x0, x1 ) ), mult( mult( 'op_c',
% 0.75/1.16 x0 ), x1 ) ) ) ] )
% 0.75/1.16 ] ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.75/1.16 , clause( 279, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.16 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.75/1.16 , clause( 280, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.16 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 299, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X,
% 0.75/1.16 mult( Y, Z ) ) ) ] )
% 0.75/1.16 , clause( 284, [ =( mult( X, mult( Y, Z ) ), mult( rd( mult( X, Y ), X ),
% 0.75/1.16 mult( X, Z ) ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 6, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X, mult(
% 0.75/1.16 Y, Z ) ) ) ] )
% 0.75/1.16 , clause( 299, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X,
% 0.75/1.16 mult( Y, Z ) ) ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 307, [ =( mult( mult( X, Z ), ld( Z, mult( Y, Z ) ) ), mult( mult(
% 0.75/1.16 X, Y ), Z ) ) ] )
% 0.75/1.16 , clause( 285, [ =( mult( mult( X, Y ), Z ), mult( mult( X, Z ), ld( Z,
% 0.75/1.16 mult( Y, Z ) ) ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 7, [ =( mult( mult( X, Z ), ld( Z, mult( Y, Z ) ) ), mult( mult( X
% 0.75/1.16 , Y ), Z ) ) ] )
% 0.75/1.16 , clause( 307, [ =( mult( mult( X, Z ), ld( Z, mult( Y, Z ) ) ), mult( mult(
% 0.75/1.16 X, Y ), Z ) ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.16 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.75/1.16 , clause( 286, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 9, [ ~( =( mult( 'op_c', mult( x0, x1 ) ), mult( mult( 'op_c', x0 )
% 0.75/1.16 , x1 ) ) ) ] )
% 0.75/1.16 , clause( 287, [ ~( =( mult( 'op_c', mult( x0, x1 ) ), mult( mult( 'op_c',
% 0.75/1.16 x0 ), x1 ) ) ) ] )
% 0.75/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 328, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.75/1.16 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 333, [ =( X, ld( 'op_c', mult( X, 'op_c' ) ) ) ] )
% 0.75/1.16 , clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.75/1.16 , 0, clause( 328, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.75/1.16 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 'op_c'
% 0.75/1.16 ), :=( Y, X )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 334, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.75/1.16 , clause( 333, [ =( X, ld( 'op_c', mult( X, 'op_c' ) ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 19, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.75/1.16 , clause( 334, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 335, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.75/1.16 , clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 336, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.75/1.16 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 337, [ =( 'op_c', ld( X, mult( 'op_c', X ) ) ) ] )
% 0.75/1.16 , clause( 335, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.75/1.16 , 0, clause( 336, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.75/1.16 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.16 :=( Y, 'op_c' )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 338, [ =( ld( X, mult( 'op_c', X ) ), 'op_c' ) ] )
% 0.75/1.16 , clause( 337, [ =( 'op_c', ld( X, mult( 'op_c', X ) ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 20, [ =( ld( X, mult( 'op_c', X ) ), 'op_c' ) ] )
% 0.75/1.16 , clause( 338, [ =( ld( X, mult( 'op_c', X ) ), 'op_c' ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 340, [ =( X, ld( 'op_c', mult( X, 'op_c' ) ) ) ] )
% 0.75/1.16 , clause( 19, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 341, [ =( rd( X, 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.75/1.16 , clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.75/1.16 , 0, clause( 340, [ =( X, ld( 'op_c', mult( X, 'op_c' ) ) ) ] )
% 0.75/1.16 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'op_c' )] ), substitution( 1
% 0.75/1.16 , [ :=( X, rd( X, 'op_c' ) )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 22, [ =( rd( X, 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.75/1.16 , clause( 341, [ =( rd( X, 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 344, [ =( mult( X, mult( Y, Z ) ), mult( rd( mult( X, Y ), X ),
% 0.75/1.16 mult( X, Z ) ) ) ] )
% 0.75/1.16 , clause( 6, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X,
% 0.75/1.16 mult( Y, Z ) ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 346, [ =( mult( 'op_c', mult( X, Y ) ), mult( ld( 'op_c', mult(
% 0.75/1.16 'op_c', X ) ), mult( 'op_c', Y ) ) ) ] )
% 0.75/1.16 , clause( 22, [ =( rd( X, 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.75/1.16 , 0, clause( 344, [ =( mult( X, mult( Y, Z ) ), mult( rd( mult( X, Y ), X )
% 0.75/1.16 , mult( X, Z ) ) ) ] )
% 0.75/1.16 , 0, 7, substitution( 0, [ :=( X, mult( 'op_c', X ) )] ), substitution( 1
% 0.75/1.16 , [ :=( X, 'op_c' ), :=( Y, X ), :=( Z, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 347, [ =( mult( 'op_c', mult( X, Y ) ), mult( X, mult( 'op_c', Y )
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.75/1.16 , 0, clause( 346, [ =( mult( 'op_c', mult( X, Y ) ), mult( ld( 'op_c', mult(
% 0.75/1.16 'op_c', X ) ), mult( 'op_c', Y ) ) ) ] )
% 0.75/1.16 , 0, 7, substitution( 0, [ :=( X, 'op_c' ), :=( Y, X )] ), substitution( 1
% 0.75/1.16 , [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 348, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y )
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 347, [ =( mult( 'op_c', mult( X, Y ) ), mult( X, mult( 'op_c', Y
% 0.75/1.16 ) ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 26, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y ) )
% 0.75/1.16 ) ] )
% 0.75/1.16 , clause( 348, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y
% 0.75/1.16 ) ) ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.16 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 350, [ =( mult( mult( X, Z ), Y ), mult( mult( X, Y ), ld( Y, mult(
% 0.75/1.16 Z, Y ) ) ) ) ] )
% 0.75/1.16 , clause( 7, [ =( mult( mult( X, Z ), ld( Z, mult( Y, Z ) ) ), mult( mult(
% 0.75/1.16 X, Y ), Z ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 351, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( X, Y ), 'op_c'
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 20, [ =( ld( X, mult( 'op_c', X ) ), 'op_c' ) ] )
% 0.75/1.16 , 0, clause( 350, [ =( mult( mult( X, Z ), Y ), mult( mult( X, Y ), ld( Y,
% 0.75/1.16 mult( Z, Y ) ) ) ) ] )
% 0.75/1.16 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.16 :=( Y, Y ), :=( Z, 'op_c' )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 352, [ =( mult( mult( X, Y ), 'op_c' ), mult( mult( X, 'op_c' ), Y
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 351, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( X, Y ),
% 0.75/1.16 'op_c' ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 39, [ =( mult( mult( Y, X ), 'op_c' ), mult( mult( Y, 'op_c' ), X )
% 0.75/1.16 ) ] )
% 0.75/1.16 , clause( 352, [ =( mult( mult( X, Y ), 'op_c' ), mult( mult( X, 'op_c' ),
% 0.75/1.16 Y ) ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.16 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 353, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( X, Y ), 'op_c'
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 39, [ =( mult( mult( Y, X ), 'op_c' ), mult( mult( Y, 'op_c' ), X
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 354, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.75/1.16 , clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 360, [ =( mult( mult( X, 'op_c' ), Y ), mult( 'op_c', mult( X, Y )
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 354, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.75/1.16 , 0, clause( 353, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( X, Y ),
% 0.75/1.16 'op_c' ) ) ] )
% 0.75/1.16 , 0, 6, substitution( 0, [ :=( X, mult( X, Y ) )] ), substitution( 1, [
% 0.75/1.16 :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 372, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ), Y
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 360, [ =( mult( mult( X, 'op_c' ), Y ), mult( 'op_c', mult( X, Y
% 0.75/1.16 ) ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 56, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ), Y )
% 0.75/1.16 ) ] )
% 0.75/1.16 , clause( 372, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ),
% 0.75/1.16 Y ) ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.16 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 377, [ ~( =( mult( mult( x0, 'op_c' ), x1 ), mult( mult( 'op_c', x0
% 0.75/1.16 ), x1 ) ) ) ] )
% 0.75/1.16 , clause( 56, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ), Y
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , 0, clause( 9, [ ~( =( mult( 'op_c', mult( x0, x1 ) ), mult( mult( 'op_c'
% 0.75/1.16 , x0 ), x1 ) ) ) ] )
% 0.75/1.16 , 0, 2, substitution( 0, [ :=( X, x0 ), :=( Y, x1 )] ), substitution( 1, [] )
% 0.75/1.16 ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 378, [ ~( =( mult( mult( 'op_c', x0 ), x1 ), mult( mult( x0, 'op_c'
% 0.75/1.16 ), x1 ) ) ) ] )
% 0.75/1.16 , clause( 377, [ ~( =( mult( mult( x0, 'op_c' ), x1 ), mult( mult( 'op_c',
% 0.75/1.16 x0 ), x1 ) ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 65, [ ~( =( mult( mult( 'op_c', x0 ), x1 ), mult( mult( x0, 'op_c'
% 0.75/1.16 ), x1 ) ) ) ] )
% 0.75/1.16 , clause( 378, [ ~( =( mult( mult( 'op_c', x0 ), x1 ), mult( mult( x0,
% 0.75/1.16 'op_c' ), x1 ) ) ) ] )
% 0.75/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 381, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 56, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ), Y
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , 0, clause( 26, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X,
% 0.75/1.16 Y ) ) ) ] )
% 0.75/1.16 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.16 :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 93, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y )
% 0.75/1.16 ) ] )
% 0.75/1.16 , clause( 381, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ),
% 0.75/1.16 Y ) ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.16 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 383, [ =( mult( mult( X, 'op_c' ), Y ), mult( X, mult( 'op_c', Y )
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 93, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 387, [ =( mult( mult( rd( mult( 'op_c', X ), 'op_c' ), 'op_c' ), Y
% 0.75/1.16 ), mult( 'op_c', mult( X, Y ) ) ) ] )
% 0.75/1.16 , clause( 6, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X,
% 0.75/1.16 mult( Y, Z ) ) ) ] )
% 0.75/1.16 , 0, clause( 383, [ =( mult( mult( X, 'op_c' ), Y ), mult( X, mult( 'op_c'
% 0.75/1.16 , Y ) ) ) ] )
% 0.75/1.16 , 0, 10, substitution( 0, [ :=( X, 'op_c' ), :=( Y, X ), :=( Z, Y )] ),
% 0.75/1.16 substitution( 1, [ :=( X, rd( mult( 'op_c', X ), 'op_c' ) ), :=( Y, Y )] )
% 0.75/1.16 ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 388, [ =( mult( mult( 'op_c', X ), Y ), mult( 'op_c', mult( X, Y )
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.75/1.16 , 0, clause( 387, [ =( mult( mult( rd( mult( 'op_c', X ), 'op_c' ), 'op_c'
% 0.75/1.16 ), Y ), mult( 'op_c', mult( X, Y ) ) ) ] )
% 0.75/1.16 , 0, 2, substitution( 0, [ :=( X, mult( 'op_c', X ) ), :=( Y, 'op_c' )] ),
% 0.75/1.16 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 389, [ =( mult( mult( 'op_c', X ), Y ), mult( mult( X, 'op_c' ), Y
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 56, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ), Y
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , 0, clause( 388, [ =( mult( mult( 'op_c', X ), Y ), mult( 'op_c', mult( X
% 0.75/1.16 , Y ) ) ) ] )
% 0.75/1.16 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.16 :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 97, [ =( mult( mult( 'op_c', X ), Y ), mult( mult( X, 'op_c' ), Y )
% 0.75/1.16 ) ] )
% 0.75/1.16 , clause( 389, [ =( mult( mult( 'op_c', X ), Y ), mult( mult( X, 'op_c' ),
% 0.75/1.16 Y ) ) ] )
% 0.75/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.16 )] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 391, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( 'op_c', X ), Y
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 97, [ =( mult( mult( 'op_c', X ), Y ), mult( mult( X, 'op_c' ), Y
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqswap(
% 0.75/1.16 clause( 392, [ ~( =( mult( mult( x0, 'op_c' ), x1 ), mult( mult( 'op_c', x0
% 0.75/1.16 ), x1 ) ) ) ] )
% 0.75/1.16 , clause( 65, [ ~( =( mult( mult( 'op_c', x0 ), x1 ), mult( mult( x0,
% 0.75/1.16 'op_c' ), x1 ) ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 paramod(
% 0.75/1.16 clause( 393, [ ~( =( mult( mult( 'op_c', x0 ), x1 ), mult( mult( 'op_c', x0
% 0.75/1.16 ), x1 ) ) ) ] )
% 0.75/1.16 , clause( 391, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( 'op_c', X ),
% 0.75/1.16 Y ) ) ] )
% 0.75/1.16 , 0, clause( 392, [ ~( =( mult( mult( x0, 'op_c' ), x1 ), mult( mult(
% 0.75/1.16 'op_c', x0 ), x1 ) ) ) ] )
% 0.75/1.16 , 0, 2, substitution( 0, [ :=( X, x0 ), :=( Y, x1 )] ), substitution( 1, [] )
% 0.75/1.16 ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 eqrefl(
% 0.75/1.16 clause( 394, [] )
% 0.75/1.16 , clause( 393, [ ~( =( mult( mult( 'op_c', x0 ), x1 ), mult( mult( 'op_c',
% 0.75/1.16 x0 ), x1 ) ) ) ] )
% 0.75/1.16 , 0, substitution( 0, [] )).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 subsumption(
% 0.75/1.16 clause( 276, [] )
% 0.75/1.16 , clause( 394, [] )
% 0.75/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 end.
% 0.75/1.16
% 0.75/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.16
% 0.75/1.16 Memory use:
% 0.75/1.16
% 0.75/1.16 space for terms: 3808
% 0.75/1.16 space for clauses: 34593
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 clauses generated: 2558
% 0.75/1.16 clauses kept: 277
% 0.75/1.16 clauses selected: 70
% 0.75/1.16 clauses deleted: 14
% 0.75/1.16 clauses inuse deleted: 0
% 0.75/1.16
% 0.75/1.16 subsentry: 891
% 0.75/1.16 literals s-matched: 442
% 0.75/1.16 literals matched: 439
% 0.75/1.16 full subsumption: 0
% 0.75/1.16
% 0.75/1.16 checksum: 2054449089
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Bliksem ended
%------------------------------------------------------------------------------