TSTP Solution File: GRP715-11 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP715-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 07:39:13 EDT 2022
% Result : Unsatisfiable 0.69s 1.14s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP715-11 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 13:30:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.69/1.13 *** allocated 10000 integers for termspace/termends
% 0.69/1.13 *** allocated 10000 integers for clauses
% 0.69/1.13 *** allocated 10000 integers for justifications
% 0.69/1.13 Bliksem 1.12
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 Automatic Strategy Selection
% 0.69/1.13
% 0.69/1.13 Clauses:
% 0.69/1.13 [
% 0.69/1.13 [ =( plus( plus( X, Y ), Z ), plus( X, plus( Y, Z ) ) ) ],
% 0.69/1.13 [ =( plus( X, Y ), plus( Y, X ) ) ],
% 0.69/1.13 [ =( plus( X, 'op_0' ), X ) ],
% 0.69/1.13 [ =( plus( X, minus( X ) ), 'op_0' ) ],
% 0.69/1.13 [ =( mult( X, plus( Y, Z ) ), plus( mult( X, Y ), mult( X, Z ) ) ) ]
% 0.69/1.13 ,
% 0.69/1.13 [ =( mult( mult( mult( X, Y ), Z ), Y ), mult( X, mult( mult( Y, Z ), Y
% 0.69/1.13 ) ) ) ],
% 0.69/1.13 [ =( mult( X, mult( Y, Y ) ), mult( mult( X, Y ), Y ) ) ],
% 0.69/1.13 [ =( mult( X, unit ), X ) ],
% 0.69/1.13 [ =( mult( unit, X ), X ) ],
% 0.69/1.13 [ =( mult( 'op_a', 'op_b' ), unit ) ],
% 0.69/1.13 [ =( mult( 'op_b', 'op_a' ), unit ) ],
% 0.69/1.13 [ ~( =( mult( mult( x0, 'op_b' ), 'op_a' ), x0 ) ) ]
% 0.69/1.13 ] .
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 percentage equality = 1.000000, percentage horn = 1.000000
% 0.69/1.13 This is a pure equality problem
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13
% 0.69/1.13 Options Used:
% 0.69/1.13
% 0.69/1.13 useres = 1
% 0.69/1.13 useparamod = 1
% 0.69/1.13 useeqrefl = 1
% 0.69/1.13 useeqfact = 1
% 0.69/1.13 usefactor = 1
% 0.69/1.14 usesimpsplitting = 0
% 0.69/1.14 usesimpdemod = 5
% 0.69/1.14 usesimpres = 3
% 0.69/1.14
% 0.69/1.14 resimpinuse = 1000
% 0.69/1.14 resimpclauses = 20000
% 0.69/1.14 substype = eqrewr
% 0.69/1.14 backwardsubs = 1
% 0.69/1.14 selectoldest = 5
% 0.69/1.14
% 0.69/1.14 litorderings [0] = split
% 0.69/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.14
% 0.69/1.14 termordering = kbo
% 0.69/1.14
% 0.69/1.14 litapriori = 0
% 0.69/1.14 termapriori = 1
% 0.69/1.14 litaposteriori = 0
% 0.69/1.14 termaposteriori = 0
% 0.69/1.14 demodaposteriori = 0
% 0.69/1.14 ordereqreflfact = 0
% 0.69/1.14
% 0.69/1.14 litselect = negord
% 0.69/1.14
% 0.69/1.14 maxweight = 15
% 0.69/1.14 maxdepth = 30000
% 0.69/1.14 maxlength = 115
% 0.69/1.14 maxnrvars = 195
% 0.69/1.14 excuselevel = 1
% 0.69/1.14 increasemaxweight = 1
% 0.69/1.14
% 0.69/1.14 maxselected = 10000000
% 0.69/1.14 maxnrclauses = 10000000
% 0.69/1.14
% 0.69/1.14 showgenerated = 0
% 0.69/1.14 showkept = 0
% 0.69/1.14 showselected = 0
% 0.69/1.14 showdeleted = 0
% 0.69/1.14 showresimp = 1
% 0.69/1.14 showstatus = 2000
% 0.69/1.14
% 0.69/1.14 prologoutput = 1
% 0.69/1.14 nrgoals = 5000000
% 0.69/1.14 totalproof = 1
% 0.69/1.14
% 0.69/1.14 Symbols occurring in the translation:
% 0.69/1.14
% 0.69/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.14 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.69/1.14 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.69/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.14 plus [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.69/1.14 'op_0' [43, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.69/1.14 minus [44, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.69/1.14 mult [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.69/1.14 unit [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.69/1.14 'op_a' [47, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.69/1.14 'op_b' [48, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.69/1.14 x0 [49, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 Starting Search:
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 Bliksems!, er is een bewijs:
% 0.69/1.14 % SZS status Unsatisfiable
% 0.69/1.14 % SZS output start Refutation
% 0.69/1.14
% 0.69/1.14 clause( 5, [ =( mult( X, mult( mult( Y, Z ), Y ) ), mult( mult( mult( X, Y
% 0.69/1.14 ), Z ), Y ) ) ] )
% 0.69/1.14 .
% 0.69/1.14 clause( 6, [ =( mult( X, mult( Y, Y ) ), mult( mult( X, Y ), Y ) ) ] )
% 0.69/1.14 .
% 0.69/1.14 clause( 7, [ =( mult( X, unit ), X ) ] )
% 0.69/1.14 .
% 0.69/1.14 clause( 8, [ =( mult( unit, X ), X ) ] )
% 0.69/1.14 .
% 0.69/1.14 clause( 9, [ =( mult( 'op_a', 'op_b' ), unit ) ] )
% 0.69/1.14 .
% 0.69/1.14 clause( 10, [ =( mult( 'op_b', 'op_a' ), unit ) ] )
% 0.69/1.14 .
% 0.69/1.14 clause( 11, [ ~( =( mult( mult( x0, 'op_b' ), 'op_a' ), x0 ) ) ] )
% 0.69/1.14 .
% 0.69/1.14 clause( 42, [ =( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_a' ), mult( X
% 0.69/1.14 , 'op_a' ) ) ] )
% 0.69/1.14 .
% 0.69/1.14 clause( 58, [ =( mult( Z, mult( mult( mult( X, Y ), Y ), X ) ), mult( mult(
% 0.69/1.14 mult( mult( Z, X ), Y ), Y ), X ) ) ] )
% 0.69/1.14 .
% 0.69/1.14 clause( 371, [ =( mult( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_b' ),
% 0.69/1.14 'op_a' ), X ) ] )
% 0.69/1.14 .
% 0.69/1.14 clause( 375, [ =( mult( mult( X, 'op_b' ), 'op_a' ), X ) ] )
% 0.69/1.14 .
% 0.69/1.14 clause( 382, [] )
% 0.69/1.14 .
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 % SZS output end Refutation
% 0.69/1.14 found a proof!
% 0.69/1.14
% 0.69/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.14
% 0.69/1.14 initialclauses(
% 0.69/1.14 [ clause( 384, [ =( plus( plus( X, Y ), Z ), plus( X, plus( Y, Z ) ) ) ] )
% 0.69/1.14 , clause( 385, [ =( plus( X, Y ), plus( Y, X ) ) ] )
% 0.69/1.14 , clause( 386, [ =( plus( X, 'op_0' ), X ) ] )
% 0.69/1.14 , clause( 387, [ =( plus( X, minus( X ) ), 'op_0' ) ] )
% 0.69/1.14 , clause( 388, [ =( mult( X, plus( Y, Z ) ), plus( mult( X, Y ), mult( X, Z
% 0.69/1.14 ) ) ) ] )
% 0.69/1.14 , clause( 389, [ =( mult( mult( mult( X, Y ), Z ), Y ), mult( X, mult( mult(
% 0.69/1.14 Y, Z ), Y ) ) ) ] )
% 0.69/1.14 , clause( 390, [ =( mult( X, mult( Y, Y ) ), mult( mult( X, Y ), Y ) ) ] )
% 0.69/1.14 , clause( 391, [ =( mult( X, unit ), X ) ] )
% 0.69/1.14 , clause( 392, [ =( mult( unit, X ), X ) ] )
% 0.69/1.14 , clause( 393, [ =( mult( 'op_a', 'op_b' ), unit ) ] )
% 0.69/1.14 , clause( 394, [ =( mult( 'op_b', 'op_a' ), unit ) ] )
% 0.69/1.14 , clause( 395, [ ~( =( mult( mult( x0, 'op_b' ), 'op_a' ), x0 ) ) ] )
% 0.69/1.14 ] ).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 eqswap(
% 0.69/1.14 clause( 400, [ =( mult( X, mult( mult( Y, Z ), Y ) ), mult( mult( mult( X,
% 0.69/1.14 Y ), Z ), Y ) ) ] )
% 0.69/1.14 , clause( 389, [ =( mult( mult( mult( X, Y ), Z ), Y ), mult( X, mult( mult(
% 0.69/1.14 Y, Z ), Y ) ) ) ] )
% 0.69/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 subsumption(
% 0.69/1.14 clause( 5, [ =( mult( X, mult( mult( Y, Z ), Y ) ), mult( mult( mult( X, Y
% 0.69/1.14 ), Z ), Y ) ) ] )
% 0.69/1.14 , clause( 400, [ =( mult( X, mult( mult( Y, Z ), Y ) ), mult( mult( mult( X
% 0.69/1.14 , Y ), Z ), Y ) ) ] )
% 0.69/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 subsumption(
% 0.69/1.14 clause( 6, [ =( mult( X, mult( Y, Y ) ), mult( mult( X, Y ), Y ) ) ] )
% 0.69/1.14 , clause( 390, [ =( mult( X, mult( Y, Y ) ), mult( mult( X, Y ), Y ) ) ] )
% 0.69/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.14 )] ) ).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 subsumption(
% 0.69/1.14 clause( 7, [ =( mult( X, unit ), X ) ] )
% 0.69/1.14 , clause( 391, [ =( mult( X, unit ), X ) ] )
% 0.69/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 subsumption(
% 0.69/1.14 clause( 8, [ =( mult( unit, X ), X ) ] )
% 0.69/1.14 , clause( 392, [ =( mult( unit, X ), X ) ] )
% 0.69/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 subsumption(
% 0.69/1.14 clause( 9, [ =( mult( 'op_a', 'op_b' ), unit ) ] )
% 0.69/1.14 , clause( 393, [ =( mult( 'op_a', 'op_b' ), unit ) ] )
% 0.69/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 subsumption(
% 0.69/1.14 clause( 10, [ =( mult( 'op_b', 'op_a' ), unit ) ] )
% 0.69/1.14 , clause( 394, [ =( mult( 'op_b', 'op_a' ), unit ) ] )
% 0.69/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 subsumption(
% 0.69/1.14 clause( 11, [ ~( =( mult( mult( x0, 'op_b' ), 'op_a' ), x0 ) ) ] )
% 0.69/1.14 , clause( 395, [ ~( =( mult( mult( x0, 'op_b' ), 'op_a' ), x0 ) ) ] )
% 0.69/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 eqswap(
% 0.69/1.14 clause( 453, [ =( mult( mult( mult( X, Y ), Z ), Y ), mult( X, mult( mult(
% 0.69/1.14 Y, Z ), Y ) ) ) ] )
% 0.69/1.14 , clause( 5, [ =( mult( X, mult( mult( Y, Z ), Y ) ), mult( mult( mult( X,
% 0.69/1.14 Y ), Z ), Y ) ) ] )
% 0.69/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 paramod(
% 0.69/1.14 clause( 456, [ =( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_a' ), mult(
% 0.69/1.14 X, mult( unit, 'op_a' ) ) ) ] )
% 0.69/1.14 , clause( 9, [ =( mult( 'op_a', 'op_b' ), unit ) ] )
% 0.69/1.14 , 0, clause( 453, [ =( mult( mult( mult( X, Y ), Z ), Y ), mult( X, mult(
% 0.69/1.14 mult( Y, Z ), Y ) ) ) ] )
% 0.69/1.14 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.69/1.14 'op_a' ), :=( Z, 'op_b' )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 paramod(
% 0.69/1.14 clause( 457, [ =( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_a' ), mult(
% 0.69/1.14 X, 'op_a' ) ) ] )
% 0.69/1.14 , clause( 8, [ =( mult( unit, X ), X ) ] )
% 0.69/1.14 , 0, clause( 456, [ =( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_a' ),
% 0.69/1.14 mult( X, mult( unit, 'op_a' ) ) ) ] )
% 0.69/1.14 , 0, 10, substitution( 0, [ :=( X, 'op_a' )] ), substitution( 1, [ :=( X, X
% 0.69/1.14 )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 subsumption(
% 0.69/1.14 clause( 42, [ =( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_a' ), mult( X
% 0.69/1.14 , 'op_a' ) ) ] )
% 0.69/1.14 , clause( 457, [ =( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_a' ), mult(
% 0.69/1.14 X, 'op_a' ) ) ] )
% 0.69/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 eqswap(
% 0.69/1.14 clause( 460, [ =( mult( mult( mult( X, Y ), Z ), Y ), mult( X, mult( mult(
% 0.69/1.14 Y, Z ), Y ) ) ) ] )
% 0.69/1.14 , clause( 5, [ =( mult( X, mult( mult( Y, Z ), Y ) ), mult( mult( mult( X,
% 0.69/1.14 Y ), Z ), Y ) ) ] )
% 0.69/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 paramod(
% 0.69/1.14 clause( 479, [ =( mult( mult( mult( X, Y ), mult( Z, Z ) ), Y ), mult( X,
% 0.69/1.14 mult( mult( mult( Y, Z ), Z ), Y ) ) ) ] )
% 0.69/1.14 , clause( 6, [ =( mult( X, mult( Y, Y ) ), mult( mult( X, Y ), Y ) ) ] )
% 0.69/1.14 , 0, clause( 460, [ =( mult( mult( mult( X, Y ), Z ), Y ), mult( X, mult(
% 0.69/1.14 mult( Y, Z ), Y ) ) ) ] )
% 0.69/1.14 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.69/1.14 :=( X, X ), :=( Y, Y ), :=( Z, mult( Z, Z ) )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 paramod(
% 0.69/1.14 clause( 485, [ =( mult( mult( mult( mult( X, Y ), Z ), Z ), Y ), mult( X,
% 0.69/1.14 mult( mult( mult( Y, Z ), Z ), Y ) ) ) ] )
% 0.69/1.14 , clause( 6, [ =( mult( X, mult( Y, Y ) ), mult( mult( X, Y ), Y ) ) ] )
% 0.69/1.14 , 0, clause( 479, [ =( mult( mult( mult( X, Y ), mult( Z, Z ) ), Y ), mult(
% 0.69/1.14 X, mult( mult( mult( Y, Z ), Z ), Y ) ) ) ] )
% 0.69/1.14 , 0, 2, substitution( 0, [ :=( X, mult( X, Y ) ), :=( Y, Z )] ),
% 0.69/1.14 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 eqswap(
% 0.69/1.14 clause( 486, [ =( mult( X, mult( mult( mult( Y, Z ), Z ), Y ) ), mult( mult(
% 0.69/1.14 mult( mult( X, Y ), Z ), Z ), Y ) ) ] )
% 0.69/1.14 , clause( 485, [ =( mult( mult( mult( mult( X, Y ), Z ), Z ), Y ), mult( X
% 0.69/1.14 , mult( mult( mult( Y, Z ), Z ), Y ) ) ) ] )
% 0.69/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 subsumption(
% 0.69/1.14 clause( 58, [ =( mult( Z, mult( mult( mult( X, Y ), Y ), X ) ), mult( mult(
% 0.69/1.14 mult( mult( Z, X ), Y ), Y ), X ) ) ] )
% 0.69/1.14 , clause( 486, [ =( mult( X, mult( mult( mult( Y, Z ), Z ), Y ) ), mult(
% 0.69/1.14 mult( mult( mult( X, Y ), Z ), Z ), Y ) ) ] )
% 0.69/1.14 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.69/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 eqswap(
% 0.69/1.14 clause( 488, [ =( mult( mult( mult( mult( X, Y ), Z ), Z ), Y ), mult( X,
% 0.69/1.14 mult( mult( mult( Y, Z ), Z ), Y ) ) ) ] )
% 0.69/1.14 , clause( 58, [ =( mult( Z, mult( mult( mult( X, Y ), Y ), X ) ), mult(
% 0.69/1.14 mult( mult( mult( Z, X ), Y ), Y ), X ) ) ] )
% 0.69/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 paramod(
% 0.69/1.14 clause( 493, [ =( mult( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_b' ),
% 0.69/1.14 'op_a' ), mult( X, mult( mult( unit, 'op_b' ), 'op_a' ) ) ) ] )
% 0.69/1.14 , clause( 9, [ =( mult( 'op_a', 'op_b' ), unit ) ] )
% 0.69/1.14 , 0, clause( 488, [ =( mult( mult( mult( mult( X, Y ), Z ), Z ), Y ), mult(
% 0.69/1.14 X, mult( mult( mult( Y, Z ), Z ), Y ) ) ) ] )
% 0.69/1.14 , 0, 14, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.69/1.14 'op_a' ), :=( Z, 'op_b' )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 paramod(
% 0.69/1.14 clause( 494, [ =( mult( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_b' ),
% 0.69/1.14 'op_a' ), mult( X, mult( 'op_b', 'op_a' ) ) ) ] )
% 0.69/1.14 , clause( 8, [ =( mult( unit, X ), X ) ] )
% 0.69/1.14 , 0, clause( 493, [ =( mult( mult( mult( mult( X, 'op_a' ), 'op_b' ),
% 0.69/1.14 'op_b' ), 'op_a' ), mult( X, mult( mult( unit, 'op_b' ), 'op_a' ) ) ) ]
% 0.69/1.14 )
% 0.69/1.14 , 0, 13, substitution( 0, [ :=( X, 'op_b' )] ), substitution( 1, [ :=( X, X
% 0.69/1.14 )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 paramod(
% 0.69/1.14 clause( 495, [ =( mult( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_b' ),
% 0.69/1.14 'op_a' ), mult( X, unit ) ) ] )
% 0.69/1.14 , clause( 10, [ =( mult( 'op_b', 'op_a' ), unit ) ] )
% 0.69/1.14 , 0, clause( 494, [ =( mult( mult( mult( mult( X, 'op_a' ), 'op_b' ),
% 0.69/1.14 'op_b' ), 'op_a' ), mult( X, mult( 'op_b', 'op_a' ) ) ) ] )
% 0.69/1.14 , 0, 12, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 paramod(
% 0.69/1.14 clause( 496, [ =( mult( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_b' ),
% 0.69/1.14 'op_a' ), X ) ] )
% 0.69/1.14 , clause( 7, [ =( mult( X, unit ), X ) ] )
% 0.69/1.14 , 0, clause( 495, [ =( mult( mult( mult( mult( X, 'op_a' ), 'op_b' ),
% 0.69/1.14 'op_b' ), 'op_a' ), mult( X, unit ) ) ] )
% 0.69/1.14 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.14 ).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 subsumption(
% 0.69/1.14 clause( 371, [ =( mult( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_b' ),
% 0.69/1.14 'op_a' ), X ) ] )
% 0.69/1.14 , clause( 496, [ =( mult( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_b' )
% 0.69/1.14 , 'op_a' ), X ) ] )
% 0.69/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 eqswap(
% 0.69/1.14 clause( 499, [ =( mult( X, 'op_a' ), mult( mult( mult( X, 'op_a' ), 'op_b'
% 0.69/1.14 ), 'op_a' ) ) ] )
% 0.69/1.14 , clause( 42, [ =( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_a' ), mult(
% 0.69/1.14 X, 'op_a' ) ) ] )
% 0.69/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 paramod(
% 0.69/1.14 clause( 503, [ =( mult( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_b' ),
% 0.69/1.14 'op_a' ), mult( mult( X, 'op_b' ), 'op_a' ) ) ] )
% 0.69/1.14 , clause( 371, [ =( mult( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_b' )
% 0.69/1.14 , 'op_a' ), X ) ] )
% 0.69/1.14 , 0, clause( 499, [ =( mult( X, 'op_a' ), mult( mult( mult( X, 'op_a' ),
% 0.69/1.14 'op_b' ), 'op_a' ) ) ] )
% 0.69/1.14 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, mult(
% 0.69/1.14 mult( mult( X, 'op_a' ), 'op_b' ), 'op_b' ) )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 paramod(
% 0.69/1.14 clause( 504, [ =( X, mult( mult( X, 'op_b' ), 'op_a' ) ) ] )
% 0.69/1.14 , clause( 371, [ =( mult( mult( mult( mult( X, 'op_a' ), 'op_b' ), 'op_b' )
% 0.69/1.14 , 'op_a' ), X ) ] )
% 0.69/1.14 , 0, clause( 503, [ =( mult( mult( mult( mult( X, 'op_a' ), 'op_b' ),
% 0.69/1.14 'op_b' ), 'op_a' ), mult( mult( X, 'op_b' ), 'op_a' ) ) ] )
% 0.69/1.14 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.14 ).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 eqswap(
% 0.69/1.14 clause( 506, [ =( mult( mult( X, 'op_b' ), 'op_a' ), X ) ] )
% 0.69/1.14 , clause( 504, [ =( X, mult( mult( X, 'op_b' ), 'op_a' ) ) ] )
% 0.69/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 subsumption(
% 0.69/1.14 clause( 375, [ =( mult( mult( X, 'op_b' ), 'op_a' ), X ) ] )
% 0.69/1.14 , clause( 506, [ =( mult( mult( X, 'op_b' ), 'op_a' ), X ) ] )
% 0.69/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 eqswap(
% 0.69/1.14 clause( 508, [ =( X, mult( mult( X, 'op_b' ), 'op_a' ) ) ] )
% 0.69/1.14 , clause( 375, [ =( mult( mult( X, 'op_b' ), 'op_a' ), X ) ] )
% 0.69/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 eqswap(
% 0.69/1.14 clause( 509, [ ~( =( x0, mult( mult( x0, 'op_b' ), 'op_a' ) ) ) ] )
% 0.69/1.14 , clause( 11, [ ~( =( mult( mult( x0, 'op_b' ), 'op_a' ), x0 ) ) ] )
% 0.69/1.14 , 0, substitution( 0, [] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 resolution(
% 0.69/1.14 clause( 510, [] )
% 0.69/1.14 , clause( 509, [ ~( =( x0, mult( mult( x0, 'op_b' ), 'op_a' ) ) ) ] )
% 0.69/1.14 , 0, clause( 508, [ =( X, mult( mult( X, 'op_b' ), 'op_a' ) ) ] )
% 0.69/1.14 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x0 )] )).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 subsumption(
% 0.69/1.14 clause( 382, [] )
% 0.69/1.14 , clause( 510, [] )
% 0.69/1.14 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 end.
% 0.69/1.14
% 0.69/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.14
% 0.69/1.14 Memory use:
% 0.69/1.14
% 0.69/1.14 space for terms: 5126
% 0.69/1.14 space for clauses: 40679
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 clauses generated: 6749
% 0.69/1.14 clauses kept: 383
% 0.69/1.14 clauses selected: 93
% 0.69/1.14 clauses deleted: 60
% 0.69/1.14 clauses inuse deleted: 0
% 0.69/1.14
% 0.69/1.14 subsentry: 1973
% 0.69/1.14 literals s-matched: 1646
% 0.69/1.14 literals matched: 1639
% 0.69/1.14 full subsumption: 0
% 0.69/1.14
% 0.69/1.14 checksum: 327575346
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 Bliksem ended
%------------------------------------------------------------------------------