TSTP Solution File: GRP115-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP115-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 07:34:55 EDT 2022
% Result : Unsatisfiable 0.71s 1.09s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP115-1 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jun 13 09:57:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.09 *** allocated 10000 integers for termspace/termends
% 0.71/1.09 *** allocated 10000 integers for clauses
% 0.71/1.09 *** allocated 10000 integers for justifications
% 0.71/1.09 Bliksem 1.12
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Automatic Strategy Selection
% 0.71/1.09
% 0.71/1.09 Clauses:
% 0.71/1.09 [
% 0.71/1.09 [ =( multiply( X, multiply( multiply( X, multiply( multiply( X, Y ), Z )
% 0.71/1.09 ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ],
% 0.71/1.09 [ ~( =( multiply( a, multiply( a, a ) ), identity ) ) ]
% 0.71/1.09 ] .
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.09 This is a pure equality problem
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Options Used:
% 0.71/1.09
% 0.71/1.09 useres = 1
% 0.71/1.09 useparamod = 1
% 0.71/1.09 useeqrefl = 1
% 0.71/1.09 useeqfact = 1
% 0.71/1.09 usefactor = 1
% 0.71/1.09 usesimpsplitting = 0
% 0.71/1.09 usesimpdemod = 5
% 0.71/1.09 usesimpres = 3
% 0.71/1.09
% 0.71/1.09 resimpinuse = 1000
% 0.71/1.09 resimpclauses = 20000
% 0.71/1.09 substype = eqrewr
% 0.71/1.09 backwardsubs = 1
% 0.71/1.09 selectoldest = 5
% 0.71/1.09
% 0.71/1.09 litorderings [0] = split
% 0.71/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.09
% 0.71/1.09 termordering = kbo
% 0.71/1.09
% 0.71/1.09 litapriori = 0
% 0.71/1.09 termapriori = 1
% 0.71/1.09 litaposteriori = 0
% 0.71/1.09 termaposteriori = 0
% 0.71/1.09 demodaposteriori = 0
% 0.71/1.09 ordereqreflfact = 0
% 0.71/1.09
% 0.71/1.09 litselect = negord
% 0.71/1.09
% 0.71/1.09 maxweight = 15
% 0.71/1.09 maxdepth = 30000
% 0.71/1.09 maxlength = 115
% 0.71/1.09 maxnrvars = 195
% 0.71/1.09 excuselevel = 1
% 0.71/1.09 increasemaxweight = 1
% 0.71/1.09
% 0.71/1.09 maxselected = 10000000
% 0.71/1.09 maxnrclauses = 10000000
% 0.71/1.09
% 0.71/1.09 showgenerated = 0
% 0.71/1.09 showkept = 0
% 0.71/1.09 showselected = 0
% 0.71/1.09 showdeleted = 0
% 0.71/1.09 showresimp = 1
% 0.71/1.09 showstatus = 2000
% 0.71/1.09
% 0.71/1.09 prologoutput = 1
% 0.71/1.09 nrgoals = 5000000
% 0.71/1.09 totalproof = 1
% 0.71/1.09
% 0.71/1.09 Symbols occurring in the translation:
% 0.71/1.09
% 0.71/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.09 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.71/1.09 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.71/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 multiply [41, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.71/1.09 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.09 a [44, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Starting Search:
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksems!, er is een bewijs:
% 0.71/1.09 % SZS status Unsatisfiable
% 0.71/1.09 % SZS output start Refutation
% 0.71/1.09
% 0.71/1.09 clause( 0, [ =( multiply( X, multiply( multiply( X, multiply( multiply( X,
% 0.71/1.09 Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 1, [ ~( =( multiply( a, multiply( a, a ) ), identity ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 5, [ =( multiply( Y, multiply( multiply( Y, multiply( multiply( Y,
% 0.71/1.09 Z ), multiply( identity, multiply( multiply( identity, X ), multiply(
% 0.71/1.09 identity, X ) ) ) ) ), X ) ), Z ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.71/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 7, [ =( multiply( X, multiply( X, multiply( multiply( multiply( X,
% 0.71/1.09 Y ), Z ), multiply( Z, Z ) ) ) ), Y ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 9, [ =( multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.71/1.09 identity ) ) ) ), Y ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 10, [ =( multiply( multiply( X, Y ), multiply( multiply( X, Y ),
% 0.71/1.09 multiply( X, multiply( Y, identity ) ) ) ), identity ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 11, [ =( multiply( identity, multiply( X, multiply( X, multiply( X
% 0.71/1.09 , identity ) ) ) ), identity ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 12, [ =( multiply( X, multiply( X, multiply( X, identity ) ) ),
% 0.71/1.09 identity ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply( multiply(
% 0.71/1.09 Y, Z ), identity ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 17, [ =( multiply( multiply( X, multiply( X, X ) ), identity ),
% 0.71/1.09 identity ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 19, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 28, [] )
% 0.71/1.09 .
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 % SZS output end Refutation
% 0.71/1.09 found a proof!
% 0.71/1.09
% 0.71/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09
% 0.71/1.09 initialclauses(
% 0.71/1.09 [ clause( 30, [ =( multiply( X, multiply( multiply( X, multiply( multiply(
% 0.71/1.09 X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.71/1.09 , clause( 31, [ ~( =( multiply( a, multiply( a, a ) ), identity ) ) ] )
% 0.71/1.09 ] ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 0, [ =( multiply( X, multiply( multiply( X, multiply( multiply( X,
% 0.71/1.09 Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.71/1.09 , clause( 30, [ =( multiply( X, multiply( multiply( X, multiply( multiply(
% 0.71/1.09 X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 1, [ ~( =( multiply( a, multiply( a, a ) ), identity ) ) ] )
% 0.71/1.09 , clause( 31, [ ~( =( multiply( a, multiply( a, a ) ), identity ) ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 35, [ =( Y, multiply( X, multiply( multiply( X, multiply( multiply(
% 0.71/1.09 X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( X, multiply( multiply( X
% 0.71/1.09 , Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 41, [ =( X, multiply( Y, multiply( multiply( Y, multiply( multiply(
% 0.71/1.09 Y, X ), multiply( identity, multiply( multiply( identity, Z ), multiply(
% 0.71/1.09 identity, Z ) ) ) ) ), Z ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( X, multiply( multiply( X
% 0.71/1.09 , Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 35, [ =( Y, multiply( X, multiply( multiply( X, multiply(
% 0.71/1.09 multiply( X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , 0, 20, substitution( 0, [ :=( X, identity ), :=( Y, Z ), :=( Z, multiply(
% 0.71/1.09 identity, Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z,
% 0.71/1.09 multiply( identity, multiply( multiply( identity, Z ), multiply( identity
% 0.71/1.09 , Z ) ) ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 45, [ =( multiply( Y, multiply( multiply( Y, multiply( multiply( Y
% 0.71/1.09 , X ), multiply( identity, multiply( multiply( identity, Z ), multiply(
% 0.71/1.09 identity, Z ) ) ) ) ), Z ) ), X ) ] )
% 0.71/1.09 , clause( 41, [ =( X, multiply( Y, multiply( multiply( Y, multiply(
% 0.71/1.09 multiply( Y, X ), multiply( identity, multiply( multiply( identity, Z ),
% 0.71/1.09 multiply( identity, Z ) ) ) ) ), Z ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 5, [ =( multiply( Y, multiply( multiply( Y, multiply( multiply( Y,
% 0.71/1.09 Z ), multiply( identity, multiply( multiply( identity, X ), multiply(
% 0.71/1.09 identity, X ) ) ) ) ), X ) ), Z ) ] )
% 0.71/1.09 , clause( 45, [ =( multiply( Y, multiply( multiply( Y, multiply( multiply(
% 0.71/1.09 Y, X ), multiply( identity, multiply( multiply( identity, Z ), multiply(
% 0.71/1.09 identity, Z ) ) ) ) ), Z ) ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 47, [ =( Y, multiply( X, multiply( multiply( X, multiply( multiply(
% 0.71/1.09 X, Y ), multiply( identity, multiply( multiply( identity, Z ), multiply(
% 0.71/1.09 identity, Z ) ) ) ) ), Z ) ) ) ] )
% 0.71/1.09 , clause( 5, [ =( multiply( Y, multiply( multiply( Y, multiply( multiply( Y
% 0.71/1.09 , Z ), multiply( identity, multiply( multiply( identity, X ), multiply(
% 0.71/1.09 identity, X ) ) ) ) ), X ) ), Z ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 54, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.71/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( X, multiply( multiply( X
% 0.71/1.09 , Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 47, [ =( Y, multiply( X, multiply( multiply( X, multiply(
% 0.71/1.09 multiply( X, Y ), multiply( identity, multiply( multiply( identity, Z ),
% 0.71/1.09 multiply( identity, Z ) ) ) ) ), Z ) ) ) ] )
% 0.71/1.09 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply(
% 0.71/1.09 identity, Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, multiply(
% 0.71/1.09 multiply( X, Y ), multiply( identity, Z ) ) ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.71/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , clause( 54, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.71/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 67, [ =( Y, multiply( X, multiply( multiply( X, multiply( multiply(
% 0.71/1.09 X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ) ) ] )
% 0.71/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( X, multiply( multiply( X
% 0.71/1.09 , Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 76, [ =( X, multiply( Y, multiply( Y, multiply( multiply( multiply(
% 0.71/1.09 Y, X ), Z ), multiply( Z, Z ) ) ) ) ) ] )
% 0.71/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.71/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , 0, clause( 67, [ =( Y, multiply( X, multiply( multiply( X, multiply(
% 0.71/1.09 multiply( X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, multiply( multiply( Y, X ), Z
% 0.71/1.09 ) ), :=( Z, multiply( Z, Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.71/1.09 , X ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 87, [ =( multiply( Y, multiply( Y, multiply( multiply( multiply( Y
% 0.71/1.09 , X ), Z ), multiply( Z, Z ) ) ) ), X ) ] )
% 0.71/1.09 , clause( 76, [ =( X, multiply( Y, multiply( Y, multiply( multiply(
% 0.71/1.09 multiply( Y, X ), Z ), multiply( Z, Z ) ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 7, [ =( multiply( X, multiply( X, multiply( multiply( multiply( X,
% 0.71/1.09 Y ), Z ), multiply( Z, Z ) ) ) ), Y ) ] )
% 0.71/1.09 , clause( 87, [ =( multiply( Y, multiply( Y, multiply( multiply( multiply(
% 0.71/1.09 Y, X ), Z ), multiply( Z, Z ) ) ) ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 99, [ =( Y, multiply( X, multiply( X, multiply( multiply( multiply(
% 0.71/1.09 X, Y ), Z ), multiply( Z, Z ) ) ) ) ) ] )
% 0.71/1.09 , clause( 7, [ =( multiply( X, multiply( X, multiply( multiply( multiply( X
% 0.71/1.09 , Y ), Z ), multiply( Z, Z ) ) ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 109, [ =( X, multiply( Y, multiply( Y, multiply( multiply( Y, X ),
% 0.71/1.09 multiply( identity, identity ) ) ) ) ) ] )
% 0.71/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.71/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , 0, clause( 99, [ =( Y, multiply( X, multiply( X, multiply( multiply(
% 0.71/1.09 multiply( X, Y ), Z ), multiply( Z, Z ) ) ) ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, identity ),
% 0.71/1.09 :=( Z, identity )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z,
% 0.71/1.09 identity )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 129, [ =( X, multiply( Y, multiply( Y, multiply( Y, multiply( X,
% 0.71/1.09 identity ) ) ) ) ) ] )
% 0.71/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.71/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , 0, clause( 109, [ =( X, multiply( Y, multiply( Y, multiply( multiply( Y,
% 0.71/1.09 X ), multiply( identity, identity ) ) ) ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 130, [ =( multiply( Y, multiply( Y, multiply( Y, multiply( X,
% 0.71/1.09 identity ) ) ) ), X ) ] )
% 0.71/1.09 , clause( 129, [ =( X, multiply( Y, multiply( Y, multiply( Y, multiply( X,
% 0.71/1.09 identity ) ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 9, [ =( multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.71/1.09 identity ) ) ) ), Y ) ] )
% 0.71/1.09 , clause( 130, [ =( multiply( Y, multiply( Y, multiply( Y, multiply( X,
% 0.71/1.09 identity ) ) ) ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 132, [ =( Y, multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.71/1.09 identity ) ) ) ) ) ] )
% 0.71/1.09 , clause( 9, [ =( multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.71/1.09 identity ) ) ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 141, [ =( identity, multiply( multiply( X, Y ), multiply( multiply(
% 0.71/1.09 X, Y ), multiply( X, multiply( Y, identity ) ) ) ) ) ] )
% 0.71/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.71/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , 0, clause( 132, [ =( Y, multiply( X, multiply( X, multiply( X, multiply(
% 0.71/1.09 Y, identity ) ) ) ) ) ] )
% 0.71/1.09 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity )] ),
% 0.71/1.09 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, identity )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 142, [ =( multiply( multiply( X, Y ), multiply( multiply( X, Y ),
% 0.71/1.09 multiply( X, multiply( Y, identity ) ) ) ), identity ) ] )
% 0.71/1.09 , clause( 141, [ =( identity, multiply( multiply( X, Y ), multiply(
% 0.71/1.09 multiply( X, Y ), multiply( X, multiply( Y, identity ) ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 10, [ =( multiply( multiply( X, Y ), multiply( multiply( X, Y ),
% 0.71/1.09 multiply( X, multiply( Y, identity ) ) ) ), identity ) ] )
% 0.71/1.09 , clause( 142, [ =( multiply( multiply( X, Y ), multiply( multiply( X, Y )
% 0.71/1.09 , multiply( X, multiply( Y, identity ) ) ) ), identity ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 144, [ =( identity, multiply( multiply( X, Y ), multiply( multiply(
% 0.71/1.09 X, Y ), multiply( X, multiply( Y, identity ) ) ) ) ) ] )
% 0.71/1.09 , clause( 10, [ =( multiply( multiply( X, Y ), multiply( multiply( X, Y ),
% 0.71/1.09 multiply( X, multiply( Y, identity ) ) ) ), identity ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 155, [ =( identity, multiply( multiply( identity, X ), multiply(
% 0.71/1.09 identity, multiply( X, multiply( X, identity ) ) ) ) ) ] )
% 0.71/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.71/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , 0, clause( 144, [ =( identity, multiply( multiply( X, Y ), multiply(
% 0.71/1.09 multiply( X, Y ), multiply( X, multiply( Y, identity ) ) ) ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, multiply(
% 0.71/1.09 X, identity ) )] ), substitution( 1, [ :=( X, identity ), :=( Y, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 159, [ =( identity, multiply( identity, multiply( X, multiply( X,
% 0.71/1.09 multiply( X, identity ) ) ) ) ) ] )
% 0.71/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.71/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , 0, clause( 155, [ =( identity, multiply( multiply( identity, X ),
% 0.71/1.09 multiply( identity, multiply( X, multiply( X, identity ) ) ) ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, multiply(
% 0.71/1.09 X, multiply( X, identity ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 160, [ =( multiply( identity, multiply( X, multiply( X, multiply( X
% 0.71/1.09 , identity ) ) ) ), identity ) ] )
% 0.71/1.09 , clause( 159, [ =( identity, multiply( identity, multiply( X, multiply( X
% 0.71/1.09 , multiply( X, identity ) ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 11, [ =( multiply( identity, multiply( X, multiply( X, multiply( X
% 0.71/1.09 , identity ) ) ) ), identity ) ] )
% 0.71/1.09 , clause( 160, [ =( multiply( identity, multiply( X, multiply( X, multiply(
% 0.71/1.09 X, identity ) ) ) ), identity ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 162, [ =( identity, multiply( multiply( X, Y ), multiply( multiply(
% 0.71/1.09 X, Y ), multiply( X, multiply( Y, identity ) ) ) ) ) ] )
% 0.71/1.09 , clause( 10, [ =( multiply( multiply( X, Y ), multiply( multiply( X, Y ),
% 0.71/1.09 multiply( X, multiply( Y, identity ) ) ) ), identity ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 165, [ =( identity, multiply( multiply( identity, multiply( X,
% 0.71/1.09 multiply( X, multiply( X, identity ) ) ) ), multiply( identity, multiply(
% 0.71/1.09 identity, multiply( multiply( X, multiply( X, multiply( X, identity ) ) )
% 0.71/1.09 , identity ) ) ) ) ) ] )
% 0.71/1.09 , clause( 11, [ =( multiply( identity, multiply( X, multiply( X, multiply(
% 0.71/1.09 X, identity ) ) ) ), identity ) ] )
% 0.71/1.09 , 0, clause( 162, [ =( identity, multiply( multiply( X, Y ), multiply(
% 0.71/1.09 multiply( X, Y ), multiply( X, multiply( Y, identity ) ) ) ) ) ] )
% 0.71/1.09 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.71/1.09 identity ), :=( Y, multiply( X, multiply( X, multiply( X, identity ) ) )
% 0.71/1.09 )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 166, [ =( identity, multiply( identity, multiply( identity,
% 0.71/1.09 multiply( identity, multiply( multiply( X, multiply( X, multiply( X,
% 0.71/1.09 identity ) ) ), identity ) ) ) ) ) ] )
% 0.71/1.09 , clause( 11, [ =( multiply( identity, multiply( X, multiply( X, multiply(
% 0.71/1.09 X, identity ) ) ) ), identity ) ] )
% 0.71/1.09 , 0, clause( 165, [ =( identity, multiply( multiply( identity, multiply( X
% 0.71/1.09 , multiply( X, multiply( X, identity ) ) ) ), multiply( identity,
% 0.71/1.09 multiply( identity, multiply( multiply( X, multiply( X, multiply( X,
% 0.71/1.09 identity ) ) ), identity ) ) ) ) ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 167, [ =( identity, multiply( X, multiply( X, multiply( X, identity
% 0.71/1.09 ) ) ) ) ] )
% 0.71/1.09 , clause( 9, [ =( multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.71/1.09 identity ) ) ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 166, [ =( identity, multiply( identity, multiply( identity,
% 0.71/1.09 multiply( identity, multiply( multiply( X, multiply( X, multiply( X,
% 0.71/1.09 identity ) ) ), identity ) ) ) ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, multiply( X, multiply(
% 0.71/1.09 X, multiply( X, identity ) ) ) )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 168, [ =( multiply( X, multiply( X, multiply( X, identity ) ) ),
% 0.71/1.09 identity ) ] )
% 0.71/1.09 , clause( 167, [ =( identity, multiply( X, multiply( X, multiply( X,
% 0.71/1.09 identity ) ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 12, [ =( multiply( X, multiply( X, multiply( X, identity ) ) ),
% 0.71/1.09 identity ) ] )
% 0.71/1.09 , clause( 168, [ =( multiply( X, multiply( X, multiply( X, identity ) ) ),
% 0.71/1.09 identity ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 170, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.71/1.09 ), multiply( identity, Z ) ) ) ] )
% 0.71/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.71/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 176, [ =( multiply( X, multiply( Y, multiply( Z, multiply( Z,
% 0.71/1.09 multiply( Z, identity ) ) ) ) ), multiply( multiply( X, Y ), identity ) )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 11, [ =( multiply( identity, multiply( X, multiply( X, multiply(
% 0.71/1.09 X, identity ) ) ) ), identity ) ] )
% 0.71/1.09 , 0, clause( 170, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 0.71/1.09 X, Y ), multiply( identity, Z ) ) ) ] )
% 0.71/1.09 , 0, 16, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.09 :=( Y, Y ), :=( Z, multiply( Z, multiply( Z, multiply( Z, identity ) ) )
% 0.71/1.09 )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 178, [ =( multiply( X, multiply( Y, identity ) ), multiply(
% 0.71/1.09 multiply( X, Y ), identity ) ) ] )
% 0.71/1.09 , clause( 12, [ =( multiply( X, multiply( X, multiply( X, identity ) ) ),
% 0.71/1.09 identity ) ] )
% 0.71/1.09 , 0, clause( 176, [ =( multiply( X, multiply( Y, multiply( Z, multiply( Z,
% 0.71/1.09 multiply( Z, identity ) ) ) ) ), multiply( multiply( X, Y ), identity ) )
% 0.71/1.09 ] )
% 0.71/1.09 , 0, 5, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.09 :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply( multiply(
% 0.71/1.09 Y, Z ), identity ) ) ] )
% 0.71/1.09 , clause( 178, [ =( multiply( X, multiply( Y, identity ) ), multiply(
% 0.71/1.09 multiply( X, Y ), identity ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 183, [ =( multiply( X, multiply( multiply( X, X ), identity ) ),
% 0.71/1.09 identity ) ] )
% 0.71/1.09 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.71/1.09 multiply( Y, Z ), identity ) ) ] )
% 0.71/1.09 , 0, clause( 12, [ =( multiply( X, multiply( X, multiply( X, identity ) ) )
% 0.71/1.09 , identity ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 185, [ =( multiply( multiply( X, multiply( X, X ) ), identity ),
% 0.71/1.09 identity ) ] )
% 0.71/1.09 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.71/1.09 multiply( Y, Z ), identity ) ) ] )
% 0.71/1.09 , 0, clause( 183, [ =( multiply( X, multiply( multiply( X, X ), identity )
% 0.71/1.09 ), identity ) ] )
% 0.71/1.09 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, multiply( X, X )
% 0.71/1.09 )] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 17, [ =( multiply( multiply( X, multiply( X, X ) ), identity ),
% 0.71/1.09 identity ) ] )
% 0.71/1.09 , clause( 185, [ =( multiply( multiply( X, multiply( X, X ) ), identity ),
% 0.71/1.09 identity ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 188, [ =( Y, multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.71/1.09 identity ) ) ) ) ) ] )
% 0.71/1.09 , clause( 9, [ =( multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.71/1.09 identity ) ) ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 192, [ =( multiply( X, multiply( X, X ) ), multiply( Y, multiply( Y
% 0.71/1.09 , multiply( Y, identity ) ) ) ) ] )
% 0.71/1.09 , clause( 17, [ =( multiply( multiply( X, multiply( X, X ) ), identity ),
% 0.71/1.09 identity ) ] )
% 0.71/1.09 , 0, clause( 188, [ =( Y, multiply( X, multiply( X, multiply( X, multiply(
% 0.71/1.09 Y, identity ) ) ) ) ) ] )
% 0.71/1.09 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.71/1.09 :=( Y, multiply( X, multiply( X, X ) ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 193, [ =( multiply( X, multiply( X, X ) ), multiply( Y, multiply(
% 0.71/1.09 multiply( Y, Y ), identity ) ) ) ] )
% 0.71/1.09 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.71/1.09 multiply( Y, Z ), identity ) ) ] )
% 0.71/1.09 , 0, clause( 192, [ =( multiply( X, multiply( X, X ) ), multiply( Y,
% 0.71/1.09 multiply( Y, multiply( Y, identity ) ) ) ) ] )
% 0.71/1.09 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, Y )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 195, [ =( multiply( X, multiply( X, X ) ), multiply( multiply( Y,
% 0.71/1.09 multiply( Y, Y ) ), identity ) ) ] )
% 0.71/1.09 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.71/1.09 multiply( Y, Z ), identity ) ) ] )
% 0.71/1.09 , 0, clause( 193, [ =( multiply( X, multiply( X, X ) ), multiply( Y,
% 0.71/1.09 multiply( multiply( Y, Y ), identity ) ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, multiply( Y, Y )
% 0.71/1.09 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 196, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.71/1.09 , clause( 17, [ =( multiply( multiply( X, multiply( X, X ) ), identity ),
% 0.71/1.09 identity ) ] )
% 0.71/1.09 , 0, clause( 195, [ =( multiply( X, multiply( X, X ) ), multiply( multiply(
% 0.71/1.09 Y, multiply( Y, Y ) ), identity ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.09 :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 19, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.71/1.09 , clause( 196, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 198, [ =( identity, multiply( X, multiply( X, X ) ) ) ] )
% 0.71/1.09 , clause( 19, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 199, [ ~( =( identity, multiply( a, multiply( a, a ) ) ) ) ] )
% 0.71/1.09 , clause( 1, [ ~( =( multiply( a, multiply( a, a ) ), identity ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 200, [] )
% 0.71/1.09 , clause( 199, [ ~( =( identity, multiply( a, multiply( a, a ) ) ) ) ] )
% 0.71/1.09 , 0, clause( 198, [ =( identity, multiply( X, multiply( X, X ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 28, [] )
% 0.71/1.09 , clause( 200, [] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 end.
% 0.71/1.09
% 0.71/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09
% 0.71/1.09 Memory use:
% 0.71/1.09
% 0.71/1.09 space for terms: 458
% 0.71/1.09 space for clauses: 4239
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 clauses generated: 171
% 0.71/1.09 clauses kept: 29
% 0.71/1.09 clauses selected: 12
% 0.71/1.09 clauses deleted: 3
% 0.71/1.09 clauses inuse deleted: 0
% 0.71/1.09
% 0.71/1.09 subsentry: 859
% 0.71/1.09 literals s-matched: 136
% 0.71/1.09 literals matched: 104
% 0.71/1.09 full subsumption: 0
% 0.71/1.09
% 0.71/1.09 checksum: -1100314640
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksem ended
%------------------------------------------------------------------------------