TSTP Solution File: GRP665-12 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP665-12 : TPTP v8.1.0. Released v8.1.0.
% 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 : Sat Jul 16 07:38:31 EDT 2022
% Result : Unsatisfiable 0.48s 1.15s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP665-12 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n029.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 : Mon Jun 13 19:58:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.48/1.15 *** allocated 10000 integers for termspace/termends
% 0.48/1.15 *** allocated 10000 integers for clauses
% 0.48/1.15 *** allocated 10000 integers for justifications
% 0.48/1.15 Bliksem 1.12
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 Automatic Strategy Selection
% 0.48/1.15
% 0.48/1.15 Clauses:
% 0.48/1.15 [
% 0.48/1.15 [ =( mult( X, ld( X, Y ) ), Y ) ],
% 0.48/1.15 [ =( ld( X, mult( X, Y ) ), Y ) ],
% 0.48/1.15 [ =( mult( rd( X, Y ), Y ), X ) ],
% 0.48/1.15 [ =( rd( mult( X, Y ), Y ), X ) ],
% 0.48/1.15 [ =( mult( X, unit ), X ) ],
% 0.48/1.15 [ =( mult( unit, X ), X ) ],
% 0.48/1.15 [ =( mult( X, mult( Y, Z ) ), mult( rd( mult( X, Y ), X ), mult( X, Z )
% 0.48/1.15 ) ) ],
% 0.48/1.15 [ =( mult( mult( X, Y ), Z ), mult( mult( X, Z ), ld( Z, mult( Y, Z ) )
% 0.48/1.15 ) ) ],
% 0.48/1.15 [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ],
% 0.48/1.15 [ ~( =( mult( mult( x0, x1 ), 'op_c' ), mult( x0, mult( x1, 'op_c' ) ) )
% 0.48/1.15 ) ]
% 0.48/1.15 ] .
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 percentage equality = 1.000000, percentage horn = 1.000000
% 0.48/1.15 This is a pure equality problem
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 Options Used:
% 0.48/1.15
% 0.48/1.15 useres = 1
% 0.48/1.15 useparamod = 1
% 0.48/1.15 useeqrefl = 1
% 0.48/1.15 useeqfact = 1
% 0.48/1.15 usefactor = 1
% 0.48/1.15 usesimpsplitting = 0
% 0.48/1.15 usesimpdemod = 5
% 0.48/1.15 usesimpres = 3
% 0.48/1.15
% 0.48/1.15 resimpinuse = 1000
% 0.48/1.15 resimpclauses = 20000
% 0.48/1.15 substype = eqrewr
% 0.48/1.15 backwardsubs = 1
% 0.48/1.15 selectoldest = 5
% 0.48/1.15
% 0.48/1.15 litorderings [0] = split
% 0.48/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.48/1.15
% 0.48/1.15 termordering = kbo
% 0.48/1.15
% 0.48/1.15 litapriori = 0
% 0.48/1.15 termapriori = 1
% 0.48/1.15 litaposteriori = 0
% 0.48/1.15 termaposteriori = 0
% 0.48/1.15 demodaposteriori = 0
% 0.48/1.15 ordereqreflfact = 0
% 0.48/1.15
% 0.48/1.15 litselect = negord
% 0.48/1.15
% 0.48/1.15 maxweight = 15
% 0.48/1.15 maxdepth = 30000
% 0.48/1.15 maxlength = 115
% 0.48/1.15 maxnrvars = 195
% 0.48/1.15 excuselevel = 1
% 0.48/1.15 increasemaxweight = 1
% 0.48/1.15
% 0.48/1.15 maxselected = 10000000
% 0.48/1.15 maxnrclauses = 10000000
% 0.48/1.15
% 0.48/1.15 showgenerated = 0
% 0.48/1.15 showkept = 0
% 0.48/1.15 showselected = 0
% 0.48/1.15 showdeleted = 0
% 0.48/1.15 showresimp = 1
% 0.48/1.15 showstatus = 2000
% 0.48/1.15
% 0.48/1.15 prologoutput = 1
% 0.48/1.15 nrgoals = 5000000
% 0.48/1.15 totalproof = 1
% 0.48/1.15
% 0.48/1.15 Symbols occurring in the translation:
% 0.48/1.15
% 0.48/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.48/1.15 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.48/1.15 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.48/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.15 ld [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.48/1.15 mult [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.48/1.15 rd [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.48/1.15 unit [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.48/1.15 'op_c' [46, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.48/1.15 x0 [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.48/1.15 x1 [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 Starting Search:
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 Bliksems!, er is een bewijs:
% 0.48/1.15 % SZS status Unsatisfiable
% 0.48/1.15 % SZS output start Refutation
% 0.48/1.15
% 0.48/1.15 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.48/1.15 .
% 0.48/1.15 clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.48/1.15 .
% 0.48/1.15 clause( 6, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X, mult(
% 0.48/1.15 Y, Z ) ) ) ] )
% 0.48/1.15 .
% 0.48/1.15 clause( 7, [ =( mult( mult( X, Z ), ld( Z, mult( Y, Z ) ) ), mult( mult( X
% 0.48/1.15 , Y ), Z ) ) ] )
% 0.48/1.15 .
% 0.48/1.15 clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.48/1.15 .
% 0.48/1.15 clause( 9, [ ~( =( mult( x0, mult( x1, 'op_c' ) ), mult( mult( x0, x1 ),
% 0.48/1.15 'op_c' ) ) ) ] )
% 0.48/1.15 .
% 0.48/1.15 clause( 19, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.48/1.15 .
% 0.48/1.15 clause( 20, [ =( ld( X, mult( 'op_c', X ) ), 'op_c' ) ] )
% 0.48/1.15 .
% 0.48/1.15 clause( 22, [ =( rd( X, 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.48/1.15 .
% 0.48/1.15 clause( 26, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y ) )
% 0.48/1.15 ) ] )
% 0.48/1.15 .
% 0.48/1.15 clause( 39, [ =( mult( mult( Y, X ), 'op_c' ), mult( mult( Y, 'op_c' ), X )
% 0.48/1.15 ) ] )
% 0.48/1.15 .
% 0.48/1.15 clause( 56, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ), Y )
% 0.48/1.15 ) ] )
% 0.48/1.15 .
% 0.48/1.15 clause( 93, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y )
% 0.48/1.15 ) ] )
% 0.48/1.15 .
% 0.48/1.15 clause( 102, [ =( mult( Y, mult( X, 'op_c' ) ), mult( mult( Y, 'op_c' ), X
% 0.48/1.15 ) ) ] )
% 0.48/1.15 .
% 0.48/1.15 clause( 209, [ ~( =( mult( mult( x0, 'op_c' ), x1 ), mult( mult( x0, x1 ),
% 0.48/1.15 'op_c' ) ) ) ] )
% 0.48/1.15 .
% 0.48/1.15 clause( 277, [] )
% 0.48/1.15 .
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 % SZS output end Refutation
% 0.48/1.15 found a proof!
% 0.48/1.15
% 0.48/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.48/1.15
% 0.48/1.15 initialclauses(
% 0.48/1.15 [ clause( 279, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.48/1.15 , clause( 280, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.48/1.15 , clause( 281, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.48/1.15 , clause( 282, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.48/1.15 , clause( 283, [ =( mult( X, unit ), X ) ] )
% 0.48/1.15 , clause( 284, [ =( mult( unit, X ), X ) ] )
% 0.48/1.15 , clause( 285, [ =( mult( X, mult( Y, Z ) ), mult( rd( mult( X, Y ), X ),
% 0.48/1.15 mult( X, Z ) ) ) ] )
% 0.48/1.15 , clause( 286, [ =( mult( mult( X, Y ), Z ), mult( mult( X, Z ), ld( Z,
% 0.48/1.15 mult( Y, Z ) ) ) ) ] )
% 0.48/1.15 , clause( 287, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.48/1.15 , clause( 288, [ ~( =( mult( mult( x0, x1 ), 'op_c' ), mult( x0, mult( x1,
% 0.48/1.15 'op_c' ) ) ) ) ] )
% 0.48/1.15 ] ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.48/1.15 , clause( 280, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.48/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.15 )] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.48/1.15 , clause( 281, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.48/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.15 )] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 300, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X,
% 0.48/1.15 mult( Y, Z ) ) ) ] )
% 0.48/1.15 , clause( 285, [ =( mult( X, mult( Y, Z ) ), mult( rd( mult( X, Y ), X ),
% 0.48/1.15 mult( X, Z ) ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 6, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X, mult(
% 0.48/1.15 Y, Z ) ) ) ] )
% 0.48/1.15 , clause( 300, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X,
% 0.48/1.15 mult( Y, Z ) ) ) ] )
% 0.48/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.48/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 308, [ =( mult( mult( X, Z ), ld( Z, mult( Y, Z ) ) ), mult( mult(
% 0.48/1.15 X, Y ), Z ) ) ] )
% 0.48/1.15 , clause( 286, [ =( mult( mult( X, Y ), Z ), mult( mult( X, Z ), ld( Z,
% 0.48/1.15 mult( Y, Z ) ) ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 7, [ =( mult( mult( X, Z ), ld( Z, mult( Y, Z ) ) ), mult( mult( X
% 0.48/1.15 , Y ), Z ) ) ] )
% 0.48/1.15 , clause( 308, [ =( mult( mult( X, Z ), ld( Z, mult( Y, Z ) ) ), mult( mult(
% 0.48/1.15 X, Y ), Z ) ) ] )
% 0.48/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.48/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.48/1.15 , clause( 287, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.48/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 327, [ ~( =( mult( x0, mult( x1, 'op_c' ) ), mult( mult( x0, x1 ),
% 0.48/1.15 'op_c' ) ) ) ] )
% 0.48/1.15 , clause( 288, [ ~( =( mult( mult( x0, x1 ), 'op_c' ), mult( x0, mult( x1,
% 0.48/1.15 'op_c' ) ) ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 9, [ ~( =( mult( x0, mult( x1, 'op_c' ) ), mult( mult( x0, x1 ),
% 0.48/1.15 'op_c' ) ) ) ] )
% 0.48/1.15 , clause( 327, [ ~( =( mult( x0, mult( x1, 'op_c' ) ), mult( mult( x0, x1 )
% 0.48/1.15 , 'op_c' ) ) ) ] )
% 0.48/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 329, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.48/1.15 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 paramod(
% 0.48/1.15 clause( 334, [ =( X, ld( 'op_c', mult( X, 'op_c' ) ) ) ] )
% 0.48/1.15 , clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.48/1.15 , 0, clause( 329, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.48/1.15 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 'op_c'
% 0.48/1.15 ), :=( Y, X )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 335, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.48/1.15 , clause( 334, [ =( X, ld( 'op_c', mult( X, 'op_c' ) ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 19, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.48/1.15 , clause( 335, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.48/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 336, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.48/1.15 , clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 337, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.48/1.15 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 paramod(
% 0.48/1.15 clause( 338, [ =( 'op_c', ld( X, mult( 'op_c', X ) ) ) ] )
% 0.48/1.15 , clause( 336, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.48/1.15 , 0, clause( 337, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.48/1.15 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.15 :=( Y, 'op_c' )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 339, [ =( ld( X, mult( 'op_c', X ) ), 'op_c' ) ] )
% 0.48/1.15 , clause( 338, [ =( 'op_c', ld( X, mult( 'op_c', X ) ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 20, [ =( ld( X, mult( 'op_c', X ) ), 'op_c' ) ] )
% 0.48/1.15 , clause( 339, [ =( ld( X, mult( 'op_c', X ) ), 'op_c' ) ] )
% 0.48/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 341, [ =( X, ld( 'op_c', mult( X, 'op_c' ) ) ) ] )
% 0.48/1.15 , clause( 19, [ =( ld( 'op_c', mult( X, 'op_c' ) ), X ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 paramod(
% 0.48/1.15 clause( 342, [ =( rd( X, 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.48/1.15 , clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.48/1.15 , 0, clause( 341, [ =( X, ld( 'op_c', mult( X, 'op_c' ) ) ) ] )
% 0.48/1.15 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'op_c' )] ), substitution( 1
% 0.48/1.15 , [ :=( X, rd( X, 'op_c' ) )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 22, [ =( rd( X, 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.48/1.15 , clause( 342, [ =( rd( X, 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.48/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 345, [ =( mult( X, mult( Y, Z ) ), mult( rd( mult( X, Y ), X ),
% 0.48/1.15 mult( X, Z ) ) ) ] )
% 0.48/1.15 , clause( 6, [ =( mult( rd( mult( X, Y ), X ), mult( X, Z ) ), mult( X,
% 0.48/1.15 mult( Y, Z ) ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 paramod(
% 0.48/1.15 clause( 347, [ =( mult( 'op_c', mult( X, Y ) ), mult( ld( 'op_c', mult(
% 0.48/1.15 'op_c', X ) ), mult( 'op_c', Y ) ) ) ] )
% 0.48/1.15 , clause( 22, [ =( rd( X, 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.48/1.15 , 0, clause( 345, [ =( mult( X, mult( Y, Z ) ), mult( rd( mult( X, Y ), X )
% 0.48/1.15 , mult( X, Z ) ) ) ] )
% 0.48/1.15 , 0, 7, substitution( 0, [ :=( X, mult( 'op_c', X ) )] ), substitution( 1
% 0.48/1.15 , [ :=( X, 'op_c' ), :=( Y, X ), :=( Z, Y )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 paramod(
% 0.48/1.15 clause( 348, [ =( mult( 'op_c', mult( X, Y ) ), mult( X, mult( 'op_c', Y )
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.48/1.15 , 0, clause( 347, [ =( mult( 'op_c', mult( X, Y ) ), mult( ld( 'op_c', mult(
% 0.48/1.15 'op_c', X ) ), mult( 'op_c', Y ) ) ) ] )
% 0.48/1.15 , 0, 7, substitution( 0, [ :=( X, 'op_c' ), :=( Y, X )] ), substitution( 1
% 0.48/1.15 , [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 349, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y )
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , clause( 348, [ =( mult( 'op_c', mult( X, Y ) ), mult( X, mult( 'op_c', Y
% 0.48/1.15 ) ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 26, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y ) )
% 0.48/1.15 ) ] )
% 0.48/1.15 , clause( 349, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X, Y
% 0.48/1.15 ) ) ) ] )
% 0.48/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.15 )] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 351, [ =( mult( mult( X, Z ), Y ), mult( mult( X, Y ), ld( Y, mult(
% 0.48/1.15 Z, Y ) ) ) ) ] )
% 0.48/1.15 , clause( 7, [ =( mult( mult( X, Z ), ld( Z, mult( Y, Z ) ) ), mult( mult(
% 0.48/1.15 X, Y ), Z ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 paramod(
% 0.48/1.15 clause( 352, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( X, Y ), 'op_c'
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , clause( 20, [ =( ld( X, mult( 'op_c', X ) ), 'op_c' ) ] )
% 0.48/1.15 , 0, clause( 351, [ =( mult( mult( X, Z ), Y ), mult( mult( X, Y ), ld( Y,
% 0.48/1.15 mult( Z, Y ) ) ) ) ] )
% 0.48/1.15 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.15 :=( Y, Y ), :=( Z, 'op_c' )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 353, [ =( mult( mult( X, Y ), 'op_c' ), mult( mult( X, 'op_c' ), Y
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , clause( 352, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( X, Y ),
% 0.48/1.15 'op_c' ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 39, [ =( mult( mult( Y, X ), 'op_c' ), mult( mult( Y, 'op_c' ), X )
% 0.48/1.15 ) ] )
% 0.48/1.15 , clause( 353, [ =( mult( mult( X, Y ), 'op_c' ), mult( mult( X, 'op_c' ),
% 0.48/1.15 Y ) ) ] )
% 0.48/1.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.15 )] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 354, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( X, Y ), 'op_c'
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , clause( 39, [ =( mult( mult( Y, X ), 'op_c' ), mult( mult( Y, 'op_c' ), X
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 355, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.48/1.15 , clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 paramod(
% 0.48/1.15 clause( 361, [ =( mult( mult( X, 'op_c' ), Y ), mult( 'op_c', mult( X, Y )
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , clause( 355, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.48/1.15 , 0, clause( 354, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( X, Y ),
% 0.48/1.15 'op_c' ) ) ] )
% 0.48/1.15 , 0, 6, substitution( 0, [ :=( X, mult( X, Y ) )] ), substitution( 1, [
% 0.48/1.15 :=( X, X ), :=( Y, Y )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 373, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ), Y
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , clause( 361, [ =( mult( mult( X, 'op_c' ), Y ), mult( 'op_c', mult( X, Y
% 0.48/1.15 ) ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 56, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ), Y )
% 0.48/1.15 ) ] )
% 0.48/1.15 , clause( 373, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ),
% 0.48/1.15 Y ) ) ] )
% 0.48/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.15 )] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 paramod(
% 0.48/1.15 clause( 378, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , clause( 56, [ =( mult( 'op_c', mult( X, Y ) ), mult( mult( X, 'op_c' ), Y
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , 0, clause( 26, [ =( mult( X, mult( 'op_c', Y ) ), mult( 'op_c', mult( X,
% 0.48/1.15 Y ) ) ) ] )
% 0.48/1.15 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.48/1.15 :=( X, X ), :=( Y, Y )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 93, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y )
% 0.48/1.15 ) ] )
% 0.48/1.15 , clause( 378, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ),
% 0.48/1.15 Y ) ) ] )
% 0.48/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.15 )] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 381, [ =( mult( mult( X, 'op_c' ), Y ), mult( X, mult( 'op_c', Y )
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , clause( 93, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, 'op_c' ), Y
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 paramod(
% 0.48/1.15 clause( 402, [ =( mult( mult( X, 'op_c' ), Y ), mult( X, mult( Y, 'op_c' )
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.48/1.15 , 0, clause( 381, [ =( mult( mult( X, 'op_c' ), Y ), mult( X, mult( 'op_c'
% 0.48/1.15 , Y ) ) ) ] )
% 0.48/1.15 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.48/1.15 :=( Y, Y )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 407, [ =( mult( X, mult( Y, 'op_c' ) ), mult( mult( X, 'op_c' ), Y
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , clause( 402, [ =( mult( mult( X, 'op_c' ), Y ), mult( X, mult( Y, 'op_c'
% 0.48/1.15 ) ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 102, [ =( mult( Y, mult( X, 'op_c' ) ), mult( mult( Y, 'op_c' ), X
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , clause( 407, [ =( mult( X, mult( Y, 'op_c' ) ), mult( mult( X, 'op_c' ),
% 0.48/1.15 Y ) ) ] )
% 0.48/1.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.15 )] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 409, [ ~( =( mult( mult( x0, x1 ), 'op_c' ), mult( x0, mult( x1,
% 0.48/1.15 'op_c' ) ) ) ) ] )
% 0.48/1.15 , clause( 9, [ ~( =( mult( x0, mult( x1, 'op_c' ) ), mult( mult( x0, x1 ),
% 0.48/1.15 'op_c' ) ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 paramod(
% 0.48/1.15 clause( 410, [ ~( =( mult( mult( x0, x1 ), 'op_c' ), mult( mult( x0, 'op_c'
% 0.48/1.15 ), x1 ) ) ) ] )
% 0.48/1.15 , clause( 102, [ =( mult( Y, mult( X, 'op_c' ) ), mult( mult( Y, 'op_c' ),
% 0.48/1.15 X ) ) ] )
% 0.48/1.15 , 0, clause( 409, [ ~( =( mult( mult( x0, x1 ), 'op_c' ), mult( x0, mult(
% 0.48/1.15 x1, 'op_c' ) ) ) ) ] )
% 0.48/1.15 , 0, 7, substitution( 0, [ :=( X, x1 ), :=( Y, x0 )] ), substitution( 1, [] )
% 0.48/1.15 ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 411, [ ~( =( mult( mult( x0, 'op_c' ), x1 ), mult( mult( x0, x1 ),
% 0.48/1.15 'op_c' ) ) ) ] )
% 0.48/1.15 , clause( 410, [ ~( =( mult( mult( x0, x1 ), 'op_c' ), mult( mult( x0,
% 0.48/1.15 'op_c' ), x1 ) ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 209, [ ~( =( mult( mult( x0, 'op_c' ), x1 ), mult( mult( x0, x1 ),
% 0.48/1.15 'op_c' ) ) ) ] )
% 0.48/1.15 , clause( 411, [ ~( =( mult( mult( x0, 'op_c' ), x1 ), mult( mult( x0, x1 )
% 0.48/1.15 , 'op_c' ) ) ) ] )
% 0.48/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 412, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( X, Y ), 'op_c'
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , clause( 39, [ =( mult( mult( Y, X ), 'op_c' ), mult( mult( Y, 'op_c' ), X
% 0.48/1.15 ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqswap(
% 0.48/1.15 clause( 413, [ ~( =( mult( mult( x0, x1 ), 'op_c' ), mult( mult( x0, 'op_c'
% 0.48/1.15 ), x1 ) ) ) ] )
% 0.48/1.15 , clause( 209, [ ~( =( mult( mult( x0, 'op_c' ), x1 ), mult( mult( x0, x1 )
% 0.48/1.15 , 'op_c' ) ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 paramod(
% 0.48/1.15 clause( 414, [ ~( =( mult( mult( x0, x1 ), 'op_c' ), mult( mult( x0, x1 ),
% 0.48/1.15 'op_c' ) ) ) ] )
% 0.48/1.15 , clause( 412, [ =( mult( mult( X, 'op_c' ), Y ), mult( mult( X, Y ),
% 0.48/1.15 'op_c' ) ) ] )
% 0.48/1.15 , 0, clause( 413, [ ~( =( mult( mult( x0, x1 ), 'op_c' ), mult( mult( x0,
% 0.48/1.15 'op_c' ), x1 ) ) ) ] )
% 0.48/1.15 , 0, 7, substitution( 0, [ :=( X, x0 ), :=( Y, x1 )] ), substitution( 1, [] )
% 0.48/1.15 ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 eqrefl(
% 0.48/1.15 clause( 415, [] )
% 0.48/1.15 , clause( 414, [ ~( =( mult( mult( x0, x1 ), 'op_c' ), mult( mult( x0, x1 )
% 0.48/1.15 , 'op_c' ) ) ) ] )
% 0.48/1.15 , 0, substitution( 0, [] )).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 subsumption(
% 0.48/1.15 clause( 277, [] )
% 0.48/1.15 , clause( 415, [] )
% 0.48/1.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 end.
% 0.48/1.15
% 0.48/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.48/1.15
% 0.48/1.15 Memory use:
% 0.48/1.15
% 0.48/1.15 space for terms: 3820
% 0.48/1.15 space for clauses: 34661
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 clauses generated: 2558
% 0.48/1.15 clauses kept: 278
% 0.48/1.15 clauses selected: 71
% 0.48/1.15 clauses deleted: 12
% 0.48/1.15 clauses inuse deleted: 0
% 0.48/1.15
% 0.48/1.15 subsentry: 1039
% 0.48/1.15 literals s-matched: 467
% 0.48/1.15 literals matched: 464
% 0.48/1.15 full subsumption: 0
% 0.48/1.15
% 0.48/1.15 checksum: 2053162543
% 0.48/1.15
% 0.48/1.15
% 0.48/1.15 Bliksem ended
%------------------------------------------------------------------------------