%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP118-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 07:34:56 EDT 2022
% Result : Unsatisfiable 0.68s 1.09s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP118-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Mon Jun 13 07:43:03 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.68/1.09 *** allocated 10000 integers for termspace/termends
% 0.68/1.09 *** allocated 10000 integers for clauses
% 0.68/1.09 *** allocated 10000 integers for justifications
% 0.68/1.09 Bliksem 1.12
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Automatic Strategy Selection
% 0.68/1.09
% 0.68/1.09 Clauses:
% 0.68/1.09 [
% 0.68/1.09 [ =( multiply( X, multiply( multiply( X, multiply( multiply( X, Y ), Z )
% 0.68/1.09 ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ],
% 0.68/1.09 [ ~( =( multiply( multiply( a, b ), c ), multiply( a, multiply( b, c ) )
% 0.68/1.09 ) ) ]
% 0.68/1.09 ] .
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.68/1.09 This is a pure equality problem
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Options Used:
% 0.68/1.09
% 0.68/1.09 useres = 1
% 0.68/1.09 useparamod = 1
% 0.68/1.09 useeqrefl = 1
% 0.68/1.09 useeqfact = 1
% 0.68/1.09 usefactor = 1
% 0.68/1.09 usesimpsplitting = 0
% 0.68/1.09 usesimpdemod = 5
% 0.68/1.09 usesimpres = 3
% 0.68/1.09
% 0.68/1.09 resimpinuse = 1000
% 0.68/1.09 resimpclauses = 20000
% 0.68/1.09 substype = eqrewr
% 0.68/1.09 backwardsubs = 1
% 0.68/1.09 selectoldest = 5
% 0.68/1.09
% 0.68/1.09 litorderings [0] = split
% 0.68/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.68/1.09
% 0.68/1.09 termordering = kbo
% 0.68/1.09
% 0.68/1.09 litapriori = 0
% 0.68/1.09 termapriori = 1
% 0.68/1.09 litaposteriori = 0
% 0.68/1.09 termaposteriori = 0
% 0.68/1.09 demodaposteriori = 0
% 0.68/1.09 ordereqreflfact = 0
% 0.68/1.09
% 0.68/1.09 litselect = negord
% 0.68/1.09
% 0.68/1.09 maxweight = 15
% 0.68/1.09 maxdepth = 30000
% 0.68/1.09 maxlength = 115
% 0.68/1.09 maxnrvars = 195
% 0.68/1.09 excuselevel = 1
% 0.68/1.09 increasemaxweight = 1
% 0.68/1.09
% 0.68/1.09 maxselected = 10000000
% 0.68/1.09 maxnrclauses = 10000000
% 0.68/1.09
% 0.68/1.09 showgenerated = 0
% 0.68/1.09 showkept = 0
% 0.68/1.09 showselected = 0
% 0.68/1.09 showdeleted = 0
% 0.68/1.09 showresimp = 1
% 0.68/1.09 showstatus = 2000
% 0.68/1.09
% 0.68/1.09 prologoutput = 1
% 0.68/1.09 nrgoals = 5000000
% 0.68/1.09 totalproof = 1
% 0.68/1.09
% 0.68/1.09 Symbols occurring in the translation:
% 0.68/1.09
% 0.68/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.09 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.68/1.09 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.68/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.09 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.68/1.09 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.68/1.09 a [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.68/1.09 b [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.68/1.09 c [46, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Starting Search:
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Bliksems!, er is een bewijs:
% 0.68/1.09 % SZS status Unsatisfiable
% 0.68/1.09 % SZS output start Refutation
% 0.68/1.09
% 0.68/1.09 clause( 0, [ =( multiply( X, multiply( multiply( X, multiply( multiply( X,
% 0.68/1.09 Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 1, [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply( a,
% 0.68/1.09 b ), c ) ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 5, [ =( multiply( Y, multiply( multiply( Y, multiply( multiply( Y,
% 0.68/1.09 Z ), multiply( identity, multiply( multiply( identity, X ), multiply(
% 0.68/1.09 identity, X ) ) ) ) ), X ) ), Z ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 7, [ =( multiply( X, multiply( X, multiply( multiply( multiply( X,
% 0.68/1.09 Y ), Z ), multiply( Z, Z ) ) ) ), Y ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 8, [ =( multiply( X, multiply( X, multiply( X, multiply( multiply(
% 0.68/1.09 Y, Z ), multiply( Z, Z ) ) ) ) ), Y ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 9, [ =( multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.68/1.09 identity ) ) ) ), Y ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 10, [ =( multiply( multiply( X, Y ), multiply( multiply( X, Y ),
% 0.68/1.09 multiply( X, multiply( Y, identity ) ) ) ), identity ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 11, [ =( multiply( identity, multiply( X, multiply( X, multiply( X
% 0.68/1.09 , identity ) ) ) ), identity ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 12, [ =( multiply( X, multiply( X, multiply( X, identity ) ) ),
% 0.68/1.09 identity ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply( multiply(
% 0.68/1.09 Y, Z ), identity ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 16, [ =( multiply( identity, multiply( multiply( X, X ), multiply(
% 0.68/1.09 X, X ) ) ), X ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 17, [ =( multiply( multiply( X, multiply( X, X ) ), identity ),
% 0.68/1.09 identity ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 19, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 20, [ =( multiply( multiply( X, X ), identity ), multiply( X, X ) )
% 0.68/1.09 ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 22, [ =( multiply( identity, identity ), identity ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 24, [ =( multiply( multiply( Y, identity ), identity ), Y ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 27, [ =( multiply( Y, multiply( Y, multiply( Y, X ) ) ), multiply(
% 0.68/1.09 X, identity ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 28, [ =( multiply( Y, identity ), Y ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 32, [ =( multiply( Y, multiply( Y, multiply( Y, X ) ) ), X ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 33, [ =( multiply( multiply( Y, Z ), multiply( Z, Z ) ), Y ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 35, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 39, [ =( multiply( identity, multiply( X, X ) ), multiply( X, X ) )
% 0.68/1.09 ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 43, [ =( multiply( identity, X ), X ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 47, [ =( multiply( Y, multiply( Z, X ) ), multiply( multiply( Y, Z
% 0.68/1.09 ), X ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 51, [] )
% 0.68/1.09 .
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 % SZS output end Refutation
% 0.68/1.09 found a proof!
% 0.68/1.09
% 0.68/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09
% 0.68/1.09 initialclauses(
% 0.68/1.09 [ clause( 53, [ =( multiply( X, multiply( multiply( X, multiply( multiply(
% 0.68/1.09 X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.68/1.09 , clause( 54, [ ~( =( multiply( multiply( a, b ), c ), multiply( a,
% 0.68/1.09 multiply( b, c ) ) ) ) ] )
% 0.68/1.09 ] ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 0, [ =( multiply( X, multiply( multiply( X, multiply( multiply( X,
% 0.68/1.09 Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.68/1.09 , clause( 53, [ =( multiply( X, multiply( multiply( X, multiply( multiply(
% 0.68/1.09 X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 57, [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply( a
% 0.68/1.09 , b ), c ) ) ) ] )
% 0.68/1.09 , clause( 54, [ ~( =( multiply( multiply( a, b ), c ), multiply( a,
% 0.68/1.09 multiply( b, c ) ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 1, [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply( a,
% 0.68/1.09 b ), c ) ) ) ] )
% 0.68/1.09 , clause( 57, [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply(
% 0.68/1.09 a, b ), c ) ) ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 58, [ =( Y, multiply( X, multiply( multiply( X, multiply( multiply(
% 0.68/1.09 X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ) ) ] )
% 0.68/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( X, multiply( multiply( X
% 0.68/1.09 , Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 64, [ =( X, multiply( Y, multiply( multiply( Y, multiply( multiply(
% 0.68/1.09 Y, X ), multiply( identity, multiply( multiply( identity, Z ), multiply(
% 0.68/1.09 identity, Z ) ) ) ) ), Z ) ) ) ] )
% 0.68/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( X, multiply( multiply( X
% 0.68/1.09 , Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.68/1.09 , 0, clause( 58, [ =( Y, multiply( X, multiply( multiply( X, multiply(
% 0.68/1.09 multiply( X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , 0, 20, substitution( 0, [ :=( X, identity ), :=( Y, Z ), :=( Z, multiply(
% 0.68/1.09 identity, Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z,
% 0.68/1.09 multiply( identity, multiply( multiply( identity, Z ), multiply( identity
% 0.68/1.09 , Z ) ) ) )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 68, [ =( multiply( Y, multiply( multiply( Y, multiply( multiply( Y
% 0.68/1.09 , X ), multiply( identity, multiply( multiply( identity, Z ), multiply(
% 0.68/1.09 identity, Z ) ) ) ) ), Z ) ), X ) ] )
% 0.68/1.09 , clause( 64, [ =( X, multiply( Y, multiply( multiply( Y, multiply(
% 0.68/1.09 multiply( Y, X ), multiply( identity, multiply( multiply( identity, Z ),
% 0.68/1.09 multiply( identity, Z ) ) ) ) ), Z ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 5, [ =( multiply( Y, multiply( multiply( Y, multiply( multiply( Y,
% 0.68/1.09 Z ), multiply( identity, multiply( multiply( identity, X ), multiply(
% 0.68/1.09 identity, X ) ) ) ) ), X ) ), Z ) ] )
% 0.68/1.09 , clause( 68, [ =( multiply( Y, multiply( multiply( Y, multiply( multiply(
% 0.68/1.09 Y, X ), multiply( identity, multiply( multiply( identity, Z ), multiply(
% 0.68/1.09 identity, Z ) ) ) ) ), Z ) ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 70, [ =( Y, multiply( X, multiply( multiply( X, multiply( multiply(
% 0.68/1.09 X, Y ), multiply( identity, multiply( multiply( identity, Z ), multiply(
% 0.68/1.09 identity, Z ) ) ) ) ), Z ) ) ) ] )
% 0.68/1.09 , clause( 5, [ =( multiply( Y, multiply( multiply( Y, multiply( multiply( Y
% 0.68/1.09 , Z ), multiply( identity, multiply( multiply( identity, X ), multiply(
% 0.68/1.09 identity, X ) ) ) ) ), X ) ), Z ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 77, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( X, multiply( multiply( X
% 0.68/1.09 , Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.68/1.09 , 0, clause( 70, [ =( Y, multiply( X, multiply( multiply( X, multiply(
% 0.68/1.09 multiply( X, Y ), multiply( identity, multiply( multiply( identity, Z ),
% 0.68/1.09 multiply( identity, Z ) ) ) ) ), Z ) ) ) ] )
% 0.68/1.09 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply(
% 0.68/1.09 identity, Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, multiply(
% 0.68/1.09 multiply( X, Y ), multiply( identity, Z ) ) ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.09 , clause( 77, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 90, [ =( Y, multiply( X, multiply( multiply( X, multiply( multiply(
% 0.68/1.09 X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ) ) ] )
% 0.68/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( X, multiply( multiply( X
% 0.68/1.09 , Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 99, [ =( X, multiply( Y, multiply( Y, multiply( multiply( multiply(
% 0.68/1.09 Y, X ), Z ), multiply( Z, Z ) ) ) ) ) ] )
% 0.68/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.09 , 0, clause( 90, [ =( Y, multiply( X, multiply( multiply( X, multiply(
% 0.68/1.09 multiply( X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, multiply( multiply( Y, X ), Z
% 0.68/1.09 ) ), :=( Z, multiply( Z, Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.68/1.09 , X ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 110, [ =( multiply( Y, multiply( Y, multiply( multiply( multiply( Y
% 0.68/1.09 , X ), Z ), multiply( Z, Z ) ) ) ), X ) ] )
% 0.68/1.09 , clause( 99, [ =( X, multiply( Y, multiply( Y, multiply( multiply(
% 0.68/1.09 multiply( Y, X ), Z ), multiply( Z, Z ) ) ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 7, [ =( multiply( X, multiply( X, multiply( multiply( multiply( X,
% 0.68/1.09 Y ), Z ), multiply( Z, Z ) ) ) ), Y ) ] )
% 0.68/1.09 , clause( 110, [ =( multiply( Y, multiply( Y, multiply( multiply( multiply(
% 0.68/1.09 Y, X ), Z ), multiply( Z, Z ) ) ) ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 122, [ =( Y, multiply( X, multiply( multiply( X, multiply( multiply(
% 0.68/1.09 X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ) ) ] )
% 0.68/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( X, multiply( multiply( X
% 0.68/1.09 , Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 143, [ =( X, multiply( Y, multiply( multiply( Y, multiply( multiply(
% 0.68/1.09 Y, X ), multiply( identity, Z ) ) ), multiply( identity, multiply(
% 0.68/1.09 identity, multiply( Z, Z ) ) ) ) ) ) ] )
% 0.68/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.09 , 0, clause( 122, [ =( Y, multiply( X, multiply( multiply( X, multiply(
% 0.68/1.09 multiply( X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , 0, 16, substitution( 0, [ :=( X, identity ), :=( Y, Z ), :=( Z, Z )] ),
% 0.68/1.09 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, multiply( identity, Z )
% 0.68/1.09 )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 152, [ =( X, multiply( Y, multiply( multiply( Y, multiply( Y,
% 0.68/1.09 multiply( X, Z ) ) ), multiply( identity, multiply( identity, multiply( Z
% 0.68/1.09 , Z ) ) ) ) ) ) ] )
% 0.68/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.09 , 0, clause( 143, [ =( X, multiply( Y, multiply( multiply( Y, multiply(
% 0.68/1.09 multiply( Y, X ), multiply( identity, Z ) ) ), multiply( identity,
% 0.68/1.09 multiply( identity, multiply( Z, Z ) ) ) ) ) ) ] )
% 0.68/1.09 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.68/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 156, [ =( X, multiply( Y, multiply( Y, multiply( multiply( Y,
% 0.68/1.09 multiply( X, Z ) ), multiply( identity, multiply( Z, Z ) ) ) ) ) ) ] )
% 0.68/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.09 , 0, clause( 152, [ =( X, multiply( Y, multiply( multiply( Y, multiply( Y,
% 0.68/1.09 multiply( X, Z ) ) ), multiply( identity, multiply( identity, multiply( Z
% 0.68/1.09 , Z ) ) ) ) ) ) ] )
% 0.68/1.09 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, multiply( Y, multiply( X, Z )
% 0.68/1.09 ) ), :=( Z, multiply( identity, multiply( Z, Z ) ) )] ), substitution( 1
% 0.68/1.09 , [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 158, [ =( X, multiply( Y, multiply( Y, multiply( Y, multiply(
% 0.68/1.09 multiply( X, Z ), multiply( Z, Z ) ) ) ) ) ) ] )
% 0.68/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.09 , 0, clause( 156, [ =( X, multiply( Y, multiply( Y, multiply( multiply( Y,
% 0.68/1.09 multiply( X, Z ) ), multiply( identity, multiply( Z, Z ) ) ) ) ) ) ] )
% 0.68/1.09 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Z ) ), :=( Z,
% 0.68/1.09 multiply( Z, Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.68/1.09 Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 159, [ =( multiply( Y, multiply( Y, multiply( Y, multiply( multiply(
% 0.68/1.09 X, Z ), multiply( Z, Z ) ) ) ) ), X ) ] )
% 0.68/1.09 , clause( 158, [ =( X, multiply( Y, multiply( Y, multiply( Y, multiply(
% 0.68/1.09 multiply( X, Z ), multiply( Z, Z ) ) ) ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 8, [ =( multiply( X, multiply( X, multiply( X, multiply( multiply(
% 0.68/1.09 Y, Z ), multiply( Z, Z ) ) ) ) ), Y ) ] )
% 0.68/1.09 , clause( 159, [ =( multiply( Y, multiply( Y, multiply( Y, multiply(
% 0.68/1.09 multiply( X, Z ), multiply( Z, Z ) ) ) ) ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 161, [ =( Y, multiply( X, multiply( X, multiply( multiply( multiply(
% 0.68/1.09 X, Y ), Z ), multiply( Z, Z ) ) ) ) ) ] )
% 0.68/1.09 , clause( 7, [ =( multiply( X, multiply( X, multiply( multiply( multiply( X
% 0.68/1.09 , Y ), Z ), multiply( Z, Z ) ) ) ), Y ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 171, [ =( X, multiply( Y, multiply( Y, multiply( multiply( Y, X ),
% 0.68/1.09 multiply( identity, identity ) ) ) ) ) ] )
% 0.68/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.09 , 0, clause( 161, [ =( Y, multiply( X, multiply( X, multiply( multiply(
% 0.68/1.09 multiply( X, Y ), Z ), multiply( Z, Z ) ) ) ) ) ] )
% 0.68/1.09 , 0, 6, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, identity ),
% 0.68/1.09 :=( Z, identity )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z,
% 0.68/1.09 identity )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 191, [ =( X, multiply( Y, multiply( Y, multiply( Y, multiply( X,
% 0.68/1.09 identity ) ) ) ) ) ] )
% 0.68/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.09 , 0, clause( 171, [ =( X, multiply( Y, multiply( Y, multiply( multiply( Y,
% 0.68/1.09 X ), multiply( identity, identity ) ) ) ) ) ] )
% 0.68/1.09 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 0.68/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 192, [ =( multiply( Y, multiply( Y, multiply( Y, multiply( X,
% 0.68/1.09 identity ) ) ) ), X ) ] )
% 0.68/1.09 , clause( 191, [ =( X, multiply( Y, multiply( Y, multiply( Y, multiply( X,
% 0.68/1.09 identity ) ) ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 9, [ =( multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.68/1.09 identity ) ) ) ), Y ) ] )
% 0.68/1.09 , clause( 192, [ =( multiply( Y, multiply( Y, multiply( Y, multiply( X,
% 0.68/1.09 identity ) ) ) ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 194, [ =( Y, multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.68/1.09 identity ) ) ) ) ) ] )
% 0.68/1.09 , clause( 9, [ =( multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.68/1.09 identity ) ) ) ), Y ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 203, [ =( identity, multiply( multiply( X, Y ), multiply( multiply(
% 0.68/1.09 X, Y ), multiply( X, multiply( Y, identity ) ) ) ) ) ] )
% 0.68/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.09 , 0, clause( 194, [ =( Y, multiply( X, multiply( X, multiply( X, multiply(
% 0.68/1.09 Y, identity ) ) ) ) ) ] )
% 0.68/1.09 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity )] ),
% 0.68/1.09 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, identity )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 204, [ =( multiply( multiply( X, Y ), multiply( multiply( X, Y ),
% 0.68/1.09 multiply( X, multiply( Y, identity ) ) ) ), identity ) ] )
% 0.68/1.09 , clause( 203, [ =( identity, multiply( multiply( X, Y ), multiply(
% 0.68/1.09 multiply( X, Y ), multiply( X, multiply( Y, identity ) ) ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 10, [ =( multiply( multiply( X, Y ), multiply( multiply( X, Y ),
% 0.68/1.09 multiply( X, multiply( Y, identity ) ) ) ), identity ) ] )
% 0.68/1.09 , clause( 204, [ =( multiply( multiply( X, Y ), multiply( multiply( X, Y )
% 0.68/1.09 , multiply( X, multiply( Y, identity ) ) ) ), identity ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 206, [ =( identity, multiply( multiply( X, Y ), multiply( multiply(
% 0.68/1.09 X, Y ), multiply( X, multiply( Y, identity ) ) ) ) ) ] )
% 0.68/1.09 , clause( 10, [ =( multiply( multiply( X, Y ), multiply( multiply( X, Y ),
% 0.68/1.09 multiply( X, multiply( Y, identity ) ) ) ), identity ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 217, [ =( identity, multiply( multiply( identity, X ), multiply(
% 0.68/1.09 identity, multiply( X, multiply( X, identity ) ) ) ) ) ] )
% 0.68/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.09 , 0, clause( 206, [ =( identity, multiply( multiply( X, Y ), multiply(
% 0.68/1.09 multiply( X, Y ), multiply( X, multiply( Y, identity ) ) ) ) ) ] )
% 0.68/1.09 , 0, 6, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, multiply(
% 0.68/1.09 X, identity ) )] ), substitution( 1, [ :=( X, identity ), :=( Y, X )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 221, [ =( identity, multiply( identity, multiply( X, multiply( X,
% 0.68/1.09 multiply( X, identity ) ) ) ) ) ] )
% 0.68/1.09 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.09 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.09 , 0, clause( 217, [ =( identity, multiply( multiply( identity, X ),
% 0.68/1.09 multiply( identity, multiply( X, multiply( X, identity ) ) ) ) ) ] )
% 0.68/1.09 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, multiply(
% 0.68/1.09 X, multiply( X, identity ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 222, [ =( multiply( identity, multiply( X, multiply( X, multiply( X
% 0.68/1.09 , identity ) ) ) ), identity ) ] )
% 0.68/1.09 , clause( 221, [ =( identity, multiply( identity, multiply( X, multiply( X
% 0.68/1.09 , multiply( X, identity ) ) ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 11, [ =( multiply( identity, multiply( X, multiply( X, multiply( X
% 0.68/1.09 , identity ) ) ) ), identity ) ] )
% 0.68/1.09 , clause( 222, [ =( multiply( identity, multiply( X, multiply( X, multiply(
% 0.68/1.09 X, identity ) ) ) ), identity ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 224, [ =( identity, multiply( multiply( X, Y ), multiply( multiply(
% 0.68/1.09 X, Y ), multiply( X, multiply( Y, identity ) ) ) ) ) ] )
% 0.68/1.09 , clause( 10, [ =( multiply( multiply( X, Y ), multiply( multiply( X, Y ),
% 0.68/1.09 multiply( X, multiply( Y, identity ) ) ) ), identity ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 227, [ =( identity, multiply( multiply( identity, multiply( X,
% 0.68/1.09 multiply( X, multiply( X, identity ) ) ) ), multiply( identity, multiply(
% 0.68/1.09 identity, multiply( multiply( X, multiply( X, multiply( X, identity ) ) )
% 0.68/1.09 , identity ) ) ) ) ) ] )
% 0.68/1.09 , clause( 11, [ =( multiply( identity, multiply( X, multiply( X, multiply(
% 0.68/1.10 X, identity ) ) ) ), identity ) ] )
% 0.68/1.10 , 0, clause( 224, [ =( identity, multiply( multiply( X, Y ), multiply(
% 0.68/1.10 multiply( X, Y ), multiply( X, multiply( Y, identity ) ) ) ) ) ] )
% 0.68/1.10 , 0, 13, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.68/1.10 identity ), :=( Y, multiply( X, multiply( X, multiply( X, identity ) ) )
% 0.68/1.10 )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 228, [ =( identity, multiply( identity, multiply( identity,
% 0.68/1.10 multiply( identity, multiply( multiply( X, multiply( X, multiply( X,
% 0.68/1.10 identity ) ) ), identity ) ) ) ) ) ] )
% 0.68/1.10 , clause( 11, [ =( multiply( identity, multiply( X, multiply( X, multiply(
% 0.68/1.10 X, identity ) ) ) ), identity ) ] )
% 0.68/1.10 , 0, clause( 227, [ =( identity, multiply( multiply( identity, multiply( X
% 0.68/1.10 , multiply( X, multiply( X, identity ) ) ) ), multiply( identity,
% 0.68/1.10 multiply( identity, multiply( multiply( X, multiply( X, multiply( X,
% 0.68/1.10 identity ) ) ), identity ) ) ) ) ) ] )
% 0.68/1.10 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.10 ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 229, [ =( identity, multiply( X, multiply( X, multiply( X, identity
% 0.68/1.10 ) ) ) ) ] )
% 0.68/1.10 , clause( 9, [ =( multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.68/1.10 identity ) ) ) ), Y ) ] )
% 0.68/1.10 , 0, clause( 228, [ =( identity, multiply( identity, multiply( identity,
% 0.68/1.10 multiply( identity, multiply( multiply( X, multiply( X, multiply( X,
% 0.68/1.10 identity ) ) ), identity ) ) ) ) ) ] )
% 0.68/1.10 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, multiply( X, multiply(
% 0.68/1.10 X, multiply( X, identity ) ) ) )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.10 ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 230, [ =( multiply( X, multiply( X, multiply( X, identity ) ) ),
% 0.68/1.10 identity ) ] )
% 0.68/1.10 , clause( 229, [ =( identity, multiply( X, multiply( X, multiply( X,
% 0.68/1.10 identity ) ) ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 12, [ =( multiply( X, multiply( X, multiply( X, identity ) ) ),
% 0.68/1.10 identity ) ] )
% 0.68/1.10 , clause( 230, [ =( multiply( X, multiply( X, multiply( X, identity ) ) ),
% 0.68/1.10 identity ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 232, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.68/1.10 ), multiply( identity, Z ) ) ) ] )
% 0.68/1.10 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.10 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 238, [ =( multiply( X, multiply( Y, multiply( Z, multiply( Z,
% 0.68/1.10 multiply( Z, identity ) ) ) ) ), multiply( multiply( X, Y ), identity ) )
% 0.68/1.10 ] )
% 0.68/1.10 , clause( 11, [ =( multiply( identity, multiply( X, multiply( X, multiply(
% 0.68/1.10 X, identity ) ) ) ), identity ) ] )
% 0.68/1.10 , 0, clause( 232, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 0.68/1.10 X, Y ), multiply( identity, Z ) ) ) ] )
% 0.68/1.10 , 0, 16, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.68/1.10 :=( Y, Y ), :=( Z, multiply( Z, multiply( Z, multiply( Z, identity ) ) )
% 0.68/1.10 )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 240, [ =( multiply( X, multiply( Y, identity ) ), multiply(
% 0.68/1.10 multiply( X, Y ), identity ) ) ] )
% 0.68/1.10 , clause( 12, [ =( multiply( X, multiply( X, multiply( X, identity ) ) ),
% 0.68/1.10 identity ) ] )
% 0.68/1.10 , 0, clause( 238, [ =( multiply( X, multiply( Y, multiply( Z, multiply( Z,
% 0.68/1.10 multiply( Z, identity ) ) ) ) ), multiply( multiply( X, Y ), identity ) )
% 0.68/1.10 ] )
% 0.68/1.10 , 0, 5, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.68/1.10 :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply( multiply(
% 0.68/1.10 Y, Z ), identity ) ) ] )
% 0.68/1.10 , clause( 240, [ =( multiply( X, multiply( Y, identity ) ), multiply(
% 0.68/1.10 multiply( X, Y ), identity ) ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.10 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 243, [ =( Y, multiply( X, multiply( multiply( X, multiply( multiply(
% 0.68/1.10 X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ) ) ] )
% 0.68/1.10 , clause( 0, [ =( multiply( X, multiply( multiply( X, multiply( multiply( X
% 0.68/1.10 , Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ), Y ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 250, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.68/1.10 identity, multiply( multiply( multiply( identity, X ), multiply( multiply(
% 0.68/1.10 identity, X ), identity ) ), multiply( multiply( identity, X ), multiply(
% 0.68/1.10 multiply( identity, X ), identity ) ) ) ) ) ) ) ] )
% 0.68/1.10 , clause( 11, [ =( multiply( identity, multiply( X, multiply( X, multiply(
% 0.68/1.10 X, identity ) ) ) ), identity ) ] )
% 0.68/1.10 , 0, clause( 243, [ =( Y, multiply( X, multiply( multiply( X, multiply(
% 0.68/1.10 multiply( X, Y ), Z ) ), multiply( identity, multiply( Z, Z ) ) ) ) ) ]
% 0.68/1.10 )
% 0.68/1.10 , 0, 5, substitution( 0, [ :=( X, multiply( identity, X ) )] ),
% 0.68/1.10 substitution( 1, [ :=( X, identity ), :=( Y, X ), :=( Z, multiply(
% 0.68/1.10 multiply( identity, X ), multiply( multiply( identity, X ), identity ) )
% 0.68/1.10 )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 256, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.68/1.10 identity, multiply( multiply( multiply( identity, X ), multiply( multiply(
% 0.68/1.10 identity, X ), identity ) ), multiply( multiply( multiply( identity, X )
% 0.68/1.10 , multiply( identity, X ) ), identity ) ) ) ) ) ) ] )
% 0.68/1.10 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.68/1.10 multiply( Y, Z ), identity ) ) ] )
% 0.68/1.10 , 0, clause( 250, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.68/1.10 identity, multiply( multiply( multiply( identity, X ), multiply( multiply(
% 0.68/1.10 identity, X ), identity ) ), multiply( multiply( identity, X ), multiply(
% 0.68/1.10 multiply( identity, X ), identity ) ) ) ) ) ) ) ] )
% 0.68/1.10 , 0, 18, substitution( 0, [ :=( X, Y ), :=( Y, multiply( identity, X ) ),
% 0.68/1.10 :=( Z, multiply( identity, X ) )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.10 ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 267, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.68/1.10 identity, multiply( multiply( multiply( multiply( identity, X ), multiply(
% 0.68/1.10 identity, X ) ), identity ), multiply( multiply( multiply( identity, X )
% 0.68/1.10 , multiply( identity, X ) ), identity ) ) ) ) ) ) ] )
% 0.68/1.10 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.68/1.10 multiply( Y, Z ), identity ) ) ] )
% 0.68/1.10 , 0, clause( 256, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.68/1.10 identity, multiply( multiply( multiply( identity, X ), multiply( multiply(
% 0.68/1.10 identity, X ), identity ) ), multiply( multiply( multiply( identity, X )
% 0.68/1.10 , multiply( identity, X ) ), identity ) ) ) ) ) ) ] )
% 0.68/1.10 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, multiply( identity, X ) ),
% 0.68/1.10 :=( Z, multiply( identity, X ) )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.10 ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 268, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.68/1.10 identity, multiply( multiply( multiply( multiply( multiply( identity, X )
% 0.68/1.10 , multiply( identity, X ) ), identity ), multiply( multiply( identity, X
% 0.68/1.10 ), multiply( identity, X ) ) ), identity ) ) ) ) ) ] )
% 0.68/1.10 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.68/1.10 multiply( Y, Z ), identity ) ) ] )
% 0.68/1.10 , 0, clause( 267, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.68/1.10 identity, multiply( multiply( multiply( multiply( identity, X ), multiply(
% 0.68/1.10 identity, X ) ), identity ), multiply( multiply( multiply( identity, X )
% 0.68/1.10 , multiply( identity, X ) ), identity ) ) ) ) ) ) ] )
% 0.68/1.10 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, multiply( multiply( multiply(
% 0.68/1.10 identity, X ), multiply( identity, X ) ), identity ) ), :=( Z, multiply(
% 0.68/1.10 multiply( identity, X ), multiply( identity, X ) ) )] ), substitution( 1
% 0.68/1.10 , [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 275, [ =( X, multiply( multiply( multiply( multiply( identity, X )
% 0.68/1.10 , multiply( identity, X ) ), identity ), multiply( multiply( identity, X
% 0.68/1.10 ), multiply( identity, X ) ) ) ) ] )
% 0.68/1.10 , clause( 9, [ =( multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.68/1.10 identity ) ) ) ), Y ) ] )
% 0.68/1.10 , 0, clause( 268, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.68/1.10 identity, multiply( multiply( multiply( multiply( multiply( identity, X )
% 0.68/1.10 , multiply( identity, X ) ), identity ), multiply( multiply( identity, X
% 0.68/1.10 ), multiply( identity, X ) ) ), identity ) ) ) ) ) ] )
% 0.68/1.10 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, multiply( multiply(
% 0.68/1.10 multiply( multiply( identity, X ), multiply( identity, X ) ), identity )
% 0.68/1.10 , multiply( multiply( identity, X ), multiply( identity, X ) ) ) )] ),
% 0.68/1.10 substitution( 1, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 277, [ =( X, multiply( multiply( multiply( multiply( identity, X )
% 0.68/1.10 , multiply( identity, X ) ), identity ), multiply( identity, multiply( X
% 0.68/1.10 , X ) ) ) ) ] )
% 0.68/1.10 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.10 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.10 , 0, clause( 275, [ =( X, multiply( multiply( multiply( multiply( identity
% 0.68/1.10 , X ), multiply( identity, X ) ), identity ), multiply( multiply(
% 0.68/1.10 identity, X ), multiply( identity, X ) ) ) ) ] )
% 0.68/1.10 , 0, 12, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X )] ),
% 0.68/1.10 substitution( 1, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 284, [ =( X, multiply( multiply( multiply( identity, multiply( X, X
% 0.68/1.10 ) ), identity ), multiply( identity, multiply( X, X ) ) ) ) ] )
% 0.68/1.10 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.10 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.10 , 0, clause( 277, [ =( X, multiply( multiply( multiply( multiply( identity
% 0.68/1.10 , X ), multiply( identity, X ) ), identity ), multiply( identity,
% 0.68/1.10 multiply( X, X ) ) ) ) ] )
% 0.68/1.10 , 0, 4, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X )] ),
% 0.68/1.10 substitution( 1, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 288, [ =( X, multiply( multiply( identity, multiply( X, X ) ),
% 0.68/1.10 multiply( identity, multiply( X, X ) ) ) ) ] )
% 0.68/1.10 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.10 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.10 , 0, clause( 284, [ =( X, multiply( multiply( multiply( identity, multiply(
% 0.68/1.10 X, X ) ), identity ), multiply( identity, multiply( X, X ) ) ) ) ] )
% 0.68/1.10 , 0, 2, substitution( 0, [ :=( X, multiply( identity, multiply( X, X ) ) )
% 0.68/1.10 , :=( Y, identity ), :=( Z, multiply( X, X ) )] ), substitution( 1, [
% 0.68/1.10 :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 289, [ =( X, multiply( identity, multiply( multiply( X, X ),
% 0.68/1.10 multiply( X, X ) ) ) ) ] )
% 0.68/1.10 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.10 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.10 , 0, clause( 288, [ =( X, multiply( multiply( identity, multiply( X, X ) )
% 0.68/1.10 , multiply( identity, multiply( X, X ) ) ) ) ] )
% 0.68/1.10 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, multiply( X, X ) ),
% 0.68/1.10 :=( Z, multiply( X, X ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 290, [ =( multiply( identity, multiply( multiply( X, X ), multiply(
% 0.68/1.10 X, X ) ) ), X ) ] )
% 0.68/1.10 , clause( 289, [ =( X, multiply( identity, multiply( multiply( X, X ),
% 0.68/1.10 multiply( X, X ) ) ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 16, [ =( multiply( identity, multiply( multiply( X, X ), multiply(
% 0.68/1.10 X, X ) ) ), X ) ] )
% 0.68/1.10 , clause( 290, [ =( multiply( identity, multiply( multiply( X, X ),
% 0.68/1.10 multiply( X, X ) ) ), X ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 295, [ =( multiply( X, multiply( multiply( X, X ), identity ) ),
% 0.68/1.10 identity ) ] )
% 0.68/1.10 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.68/1.10 multiply( Y, Z ), identity ) ) ] )
% 0.68/1.10 , 0, clause( 12, [ =( multiply( X, multiply( X, multiply( X, identity ) ) )
% 0.68/1.10 , identity ) ] )
% 0.68/1.10 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.68/1.10 substitution( 1, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 297, [ =( multiply( multiply( X, multiply( X, X ) ), identity ),
% 0.68/1.10 identity ) ] )
% 0.68/1.10 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.68/1.10 multiply( Y, Z ), identity ) ) ] )
% 0.68/1.10 , 0, clause( 295, [ =( multiply( X, multiply( multiply( X, X ), identity )
% 0.68/1.10 ), identity ) ] )
% 0.68/1.10 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, multiply( X, X )
% 0.68/1.10 )] ), substitution( 1, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 17, [ =( multiply( multiply( X, multiply( X, X ) ), identity ),
% 0.68/1.10 identity ) ] )
% 0.68/1.10 , clause( 297, [ =( multiply( multiply( X, multiply( X, X ) ), identity ),
% 0.68/1.10 identity ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 300, [ =( Y, multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.68/1.10 identity ) ) ) ) ) ] )
% 0.68/1.10 , clause( 9, [ =( multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.68/1.10 identity ) ) ) ), Y ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 304, [ =( multiply( X, multiply( X, X ) ), multiply( Y, multiply( Y
% 0.68/1.10 , multiply( Y, identity ) ) ) ) ] )
% 0.68/1.10 , clause( 17, [ =( multiply( multiply( X, multiply( X, X ) ), identity ),
% 0.68/1.10 identity ) ] )
% 0.68/1.10 , 0, clause( 300, [ =( Y, multiply( X, multiply( X, multiply( X, multiply(
% 0.68/1.10 Y, identity ) ) ) ) ) ] )
% 0.68/1.10 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.68/1.10 :=( Y, multiply( X, multiply( X, X ) ) )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 305, [ =( multiply( X, multiply( X, X ) ), multiply( Y, multiply(
% 0.68/1.10 multiply( Y, Y ), identity ) ) ) ] )
% 0.68/1.10 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.68/1.10 multiply( Y, Z ), identity ) ) ] )
% 0.68/1.10 , 0, clause( 304, [ =( multiply( X, multiply( X, X ) ), multiply( Y,
% 0.68/1.10 multiply( Y, multiply( Y, identity ) ) ) ) ] )
% 0.68/1.10 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, Y )] ),
% 0.68/1.10 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 307, [ =( multiply( X, multiply( X, X ) ), multiply( multiply( Y,
% 0.68/1.10 multiply( Y, Y ) ), identity ) ) ] )
% 0.68/1.10 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.68/1.10 multiply( Y, Z ), identity ) ) ] )
% 0.68/1.10 , 0, clause( 305, [ =( multiply( X, multiply( X, X ) ), multiply( Y,
% 0.68/1.10 multiply( multiply( Y, Y ), identity ) ) ) ] )
% 0.68/1.10 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, multiply( Y, Y )
% 0.68/1.10 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 308, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.68/1.10 , clause( 17, [ =( multiply( multiply( X, multiply( X, X ) ), identity ),
% 0.68/1.10 identity ) ] )
% 0.68/1.10 , 0, clause( 307, [ =( multiply( X, multiply( X, X ) ), multiply( multiply(
% 0.68/1.10 Y, multiply( Y, Y ) ), identity ) ) ] )
% 0.68/1.10 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.68/1.10 :=( Y, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 19, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.68/1.10 , clause( 308, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 311, [ =( Y, multiply( X, multiply( X, multiply( multiply( multiply(
% 0.68/1.10 X, Y ), Z ), multiply( Z, Z ) ) ) ) ) ] )
% 0.68/1.10 , clause( 7, [ =( multiply( X, multiply( X, multiply( multiply( multiply( X
% 0.68/1.10 , Y ), Z ), multiply( Z, Z ) ) ) ), Y ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 314, [ =( multiply( X, X ), multiply( X, multiply( X, multiply(
% 0.68/1.10 identity, multiply( identity, identity ) ) ) ) ) ] )
% 0.68/1.10 , clause( 17, [ =( multiply( multiply( X, multiply( X, X ) ), identity ),
% 0.68/1.10 identity ) ] )
% 0.68/1.10 , 0, clause( 311, [ =( Y, multiply( X, multiply( X, multiply( multiply(
% 0.68/1.10 multiply( X, Y ), Z ), multiply( Z, Z ) ) ) ) ) ] )
% 0.68/1.10 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.68/1.10 :=( Y, multiply( X, X ) ), :=( Z, identity )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 319, [ =( multiply( X, X ), multiply( X, multiply( X, identity ) )
% 0.68/1.10 ) ] )
% 0.68/1.10 , clause( 19, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.68/1.10 , 0, clause( 314, [ =( multiply( X, X ), multiply( X, multiply( X, multiply(
% 0.68/1.10 identity, multiply( identity, identity ) ) ) ) ) ] )
% 0.68/1.10 , 0, 8, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.68/1.10 X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 320, [ =( multiply( X, X ), multiply( multiply( X, X ), identity )
% 0.68/1.10 ) ] )
% 0.68/1.10 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.68/1.10 multiply( Y, Z ), identity ) ) ] )
% 0.68/1.10 , 0, clause( 319, [ =( multiply( X, X ), multiply( X, multiply( X, identity
% 0.68/1.10 ) ) ) ] )
% 0.68/1.10 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.68/1.10 substitution( 1, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 321, [ =( multiply( multiply( X, X ), identity ), multiply( X, X )
% 0.68/1.10 ) ] )
% 0.68/1.10 , clause( 320, [ =( multiply( X, X ), multiply( multiply( X, X ), identity
% 0.68/1.10 ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 20, [ =( multiply( multiply( X, X ), identity ), multiply( X, X ) )
% 0.68/1.10 ] )
% 0.68/1.10 , clause( 321, [ =( multiply( multiply( X, X ), identity ), multiply( X, X
% 0.68/1.10 ) ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 323, [ =( identity, multiply( multiply( X, multiply( X, X ) ),
% 0.68/1.10 identity ) ) ] )
% 0.68/1.10 , clause( 17, [ =( multiply( multiply( X, multiply( X, X ) ), identity ),
% 0.68/1.10 identity ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 332, [ =( identity, multiply( multiply( multiply( identity, X ),
% 0.68/1.10 multiply( identity, multiply( X, X ) ) ), identity ) ) ] )
% 0.68/1.10 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.10 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.10 , 0, clause( 323, [ =( identity, multiply( multiply( X, multiply( X, X ) )
% 0.68/1.10 , identity ) ) ] )
% 0.68/1.10 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X )] ),
% 0.68/1.10 substitution( 1, [ :=( X, multiply( identity, X ) )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 334, [ =( identity, multiply( multiply( identity, multiply( X,
% 0.68/1.10 multiply( X, X ) ) ), identity ) ) ] )
% 0.68/1.10 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.10 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.10 , 0, clause( 332, [ =( identity, multiply( multiply( multiply( identity, X
% 0.68/1.10 ), multiply( identity, multiply( X, X ) ) ), identity ) ) ] )
% 0.68/1.10 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, multiply(
% 0.68/1.10 X, X ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 335, [ =( identity, multiply( multiply( identity, identity ),
% 0.68/1.10 identity ) ) ] )
% 0.68/1.10 , clause( 19, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.68/1.10 , 0, clause( 334, [ =( identity, multiply( multiply( identity, multiply( X
% 0.68/1.10 , multiply( X, X ) ) ), identity ) ) ] )
% 0.68/1.10 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.10 ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 336, [ =( identity, multiply( identity, identity ) ) ] )
% 0.68/1.10 , clause( 20, [ =( multiply( multiply( X, X ), identity ), multiply( X, X )
% 0.68/1.10 ) ] )
% 0.68/1.10 , 0, clause( 335, [ =( identity, multiply( multiply( identity, identity ),
% 0.68/1.10 identity ) ) ] )
% 0.68/1.10 , 0, 2, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 337, [ =( multiply( identity, identity ), identity ) ] )
% 0.68/1.10 , clause( 336, [ =( identity, multiply( identity, identity ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 22, [ =( multiply( identity, identity ), identity ) ] )
% 0.68/1.10 , clause( 337, [ =( multiply( identity, identity ), identity ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 339, [ =( Y, multiply( X, multiply( multiply( X, multiply( multiply(
% 0.68/1.10 X, Y ), multiply( identity, multiply( multiply( identity, Z ), multiply(
% 0.68/1.10 identity, Z ) ) ) ) ), Z ) ) ) ] )
% 0.68/1.10 , clause( 5, [ =( multiply( Y, multiply( multiply( Y, multiply( multiply( Y
% 0.68/1.10 , Z ), multiply( identity, multiply( multiply( identity, X ), multiply(
% 0.68/1.10 identity, X ) ) ) ) ), X ) ), Z ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 346, [ =( X, multiply( Y, multiply( multiply( Y, multiply( multiply(
% 0.68/1.10 Y, X ), multiply( identity, multiply( multiply( identity, identity ),
% 0.68/1.10 identity ) ) ) ), identity ) ) ) ] )
% 0.68/1.10 , clause( 22, [ =( multiply( identity, identity ), identity ) ] )
% 0.68/1.10 , 0, clause( 339, [ =( Y, multiply( X, multiply( multiply( X, multiply(
% 0.68/1.10 multiply( X, Y ), multiply( identity, multiply( multiply( identity, Z ),
% 0.68/1.10 multiply( identity, Z ) ) ) ) ), Z ) ) ) ] )
% 0.68/1.10 , 0, 17, substitution( 0, [] ), substitution( 1, [ :=( X, Y ), :=( Y, X ),
% 0.68/1.10 :=( Z, identity )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 347, [ =( X, multiply( Y, multiply( multiply( Y, multiply( multiply(
% 0.68/1.10 Y, X ), multiply( identity, multiply( identity, identity ) ) ) ),
% 0.68/1.10 identity ) ) ) ] )
% 0.68/1.10 , clause( 22, [ =( multiply( identity, identity ), identity ) ] )
% 0.68/1.10 , 0, clause( 346, [ =( X, multiply( Y, multiply( multiply( Y, multiply(
% 0.68/1.10 multiply( Y, X ), multiply( identity, multiply( multiply( identity,
% 0.68/1.10 identity ), identity ) ) ) ), identity ) ) ) ] )
% 0.68/1.10 , 0, 14, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.68/1.10 ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 457, [ =( X, multiply( Y, multiply( multiply( Y, multiply( multiply(
% 0.68/1.10 Y, X ), multiply( multiply( identity, identity ), identity ) ) ),
% 0.68/1.10 identity ) ) ) ] )
% 0.68/1.10 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.68/1.10 multiply( Y, Z ), identity ) ) ] )
% 0.68/1.10 , 0, clause( 347, [ =( X, multiply( Y, multiply( multiply( Y, multiply(
% 0.68/1.10 multiply( Y, X ), multiply( identity, multiply( identity, identity ) ) )
% 0.68/1.10 ), identity ) ) ) ] )
% 0.68/1.10 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, identity ), :=( Z, identity
% 0.68/1.10 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 459, [ =( X, multiply( Y, multiply( multiply( Y, multiply( multiply(
% 0.68/1.10 multiply( Y, X ), multiply( identity, identity ) ), identity ) ),
% 0.68/1.10 identity ) ) ) ] )
% 0.68/1.10 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.68/1.10 multiply( Y, Z ), identity ) ) ] )
% 0.68/1.10 , 0, clause( 457, [ =( X, multiply( Y, multiply( multiply( Y, multiply(
% 0.68/1.10 multiply( Y, X ), multiply( multiply( identity, identity ), identity ) )
% 0.68/1.10 ), identity ) ) ) ] )
% 0.68/1.10 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, multiply( Y, X ) ), :=( Z,
% 0.68/1.10 multiply( identity, identity ) )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.68/1.10 , Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 461, [ =( X, multiply( Y, multiply( multiply( multiply( Y, multiply(
% 0.68/1.10 multiply( Y, X ), multiply( identity, identity ) ) ), identity ),
% 0.68/1.10 identity ) ) ) ] )
% 0.68/1.10 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.68/1.10 multiply( Y, Z ), identity ) ) ] )
% 0.68/1.10 , 0, clause( 459, [ =( X, multiply( Y, multiply( multiply( Y, multiply(
% 0.68/1.10 multiply( multiply( Y, X ), multiply( identity, identity ) ), identity )
% 0.68/1.10 ), identity ) ) ) ] )
% 0.68/1.10 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, multiply(
% 0.68/1.10 multiply( Y, X ), multiply( identity, identity ) ) )] ), substitution( 1
% 0.68/1.10 , [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 486, [ =( X, multiply( Y, multiply( multiply( multiply( Y, multiply(
% 0.68/1.10 Y, multiply( X, identity ) ) ), identity ), identity ) ) ) ] )
% 0.68/1.10 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.10 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.10 , 0, clause( 461, [ =( X, multiply( Y, multiply( multiply( multiply( Y,
% 0.68/1.10 multiply( multiply( Y, X ), multiply( identity, identity ) ) ), identity
% 0.68/1.10 ), identity ) ) ) ] )
% 0.68/1.10 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, identity )] ),
% 0.68/1.10 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 487, [ =( X, multiply( multiply( Y, multiply( multiply( Y, multiply(
% 0.68/1.10 Y, multiply( X, identity ) ) ), identity ) ), identity ) ) ] )
% 0.68/1.10 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.68/1.10 multiply( Y, Z ), identity ) ) ] )
% 0.68/1.10 , 0, clause( 486, [ =( X, multiply( Y, multiply( multiply( multiply( Y,
% 0.68/1.10 multiply( Y, multiply( X, identity ) ) ), identity ), identity ) ) ) ] )
% 0.68/1.10 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, multiply(
% 0.68/1.10 multiply( Y, multiply( Y, multiply( X, identity ) ) ), identity ) )] ),
% 0.68/1.10 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 495, [ =( X, multiply( multiply( multiply( Y, multiply( Y, multiply(
% 0.68/1.10 Y, multiply( X, identity ) ) ) ), identity ), identity ) ) ] )
% 0.68/1.10 , clause( 14, [ =( multiply( Y, multiply( Z, identity ) ), multiply(
% 0.68/1.10 multiply( Y, Z ), identity ) ) ] )
% 0.68/1.10 , 0, clause( 487, [ =( X, multiply( multiply( Y, multiply( multiply( Y,
% 0.68/1.10 multiply( Y, multiply( X, identity ) ) ), identity ) ), identity ) ) ] )
% 0.68/1.10 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, multiply( Y,
% 0.68/1.10 multiply( Y, multiply( X, identity ) ) ) )] ), substitution( 1, [ :=( X,
% 0.68/1.10 X ), :=( Y, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 496, [ =( X, multiply( multiply( X, identity ), identity ) ) ] )
% 0.68/1.10 , clause( 9, [ =( multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.68/1.10 identity ) ) ) ), Y ) ] )
% 0.68/1.10 , 0, clause( 495, [ =( X, multiply( multiply( multiply( Y, multiply( Y,
% 0.68/1.10 multiply( Y, multiply( X, identity ) ) ) ), identity ), identity ) ) ] )
% 0.68/1.10 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.68/1.10 :=( X, X ), :=( Y, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 497, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.68/1.10 , clause( 496, [ =( X, multiply( multiply( X, identity ), identity ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 24, [ =( multiply( multiply( Y, identity ), identity ), Y ) ] )
% 0.68/1.10 , clause( 497, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 499, [ =( Y, multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.68/1.10 identity ) ) ) ) ) ] )
% 0.68/1.10 , clause( 9, [ =( multiply( X, multiply( X, multiply( X, multiply( Y,
% 0.68/1.10 identity ) ) ) ), Y ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 500, [ =( multiply( X, identity ), multiply( Y, multiply( Y,
% 0.68/1.10 multiply( Y, X ) ) ) ) ] )
% 0.68/1.10 , clause( 24, [ =( multiply( multiply( Y, identity ), identity ), Y ) ] )
% 0.68/1.10 , 0, clause( 499, [ =( Y, multiply( X, multiply( X, multiply( X, multiply(
% 0.68/1.10 Y, identity ) ) ) ) ) ] )
% 0.68/1.10 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.68/1.10 :=( X, Y ), :=( Y, multiply( X, identity ) )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 501, [ =( multiply( Y, multiply( Y, multiply( Y, X ) ) ), multiply(
% 0.68/1.10 X, identity ) ) ] )
% 0.68/1.10 , clause( 500, [ =( multiply( X, identity ), multiply( Y, multiply( Y,
% 0.68/1.10 multiply( Y, X ) ) ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 27, [ =( multiply( Y, multiply( Y, multiply( Y, X ) ) ), multiply(
% 0.68/1.10 X, identity ) ) ] )
% 0.68/1.10 , clause( 501, [ =( multiply( Y, multiply( Y, multiply( Y, X ) ) ),
% 0.68/1.10 multiply( X, identity ) ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.10 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 503, [ =( Y, multiply( X, multiply( X, multiply( multiply( multiply(
% 0.68/1.10 X, Y ), Z ), multiply( Z, Z ) ) ) ) ) ] )
% 0.68/1.10 , clause( 7, [ =( multiply( X, multiply( X, multiply( multiply( multiply( X
% 0.68/1.10 , Y ), Z ), multiply( Z, Z ) ) ) ), Y ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 506, [ =( X, multiply( Y, multiply( Y, multiply( identity, multiply(
% 0.68/1.10 multiply( multiply( Y, X ), multiply( Y, X ) ), multiply( multiply( Y, X
% 0.68/1.10 ), multiply( Y, X ) ) ) ) ) ) ) ] )
% 0.68/1.10 , clause( 19, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.68/1.10 , 0, clause( 503, [ =( Y, multiply( X, multiply( X, multiply( multiply(
% 0.68/1.10 multiply( X, Y ), Z ), multiply( Z, Z ) ) ) ) ) ] )
% 0.68/1.10 , 0, 7, substitution( 0, [ :=( X, multiply( Y, X ) )] ), substitution( 1, [
% 0.68/1.10 :=( X, Y ), :=( Y, X ), :=( Z, multiply( multiply( Y, X ), multiply( Y,
% 0.68/1.10 X ) ) )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 508, [ =( X, multiply( Y, multiply( Y, multiply( Y, X ) ) ) ) ] )
% 0.68/1.10 , clause( 16, [ =( multiply( identity, multiply( multiply( X, X ), multiply(
% 0.68/1.10 X, X ) ) ), X ) ] )
% 0.68/1.10 , 0, clause( 506, [ =( X, multiply( Y, multiply( Y, multiply( identity,
% 0.68/1.10 multiply( multiply( multiply( Y, X ), multiply( Y, X ) ), multiply(
% 0.68/1.10 multiply( Y, X ), multiply( Y, X ) ) ) ) ) ) ) ] )
% 0.68/1.10 , 0, 6, substitution( 0, [ :=( X, multiply( Y, X ) )] ), substitution( 1, [
% 0.68/1.10 :=( X, X ), :=( Y, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 509, [ =( X, multiply( X, identity ) ) ] )
% 0.68/1.10 , clause( 27, [ =( multiply( Y, multiply( Y, multiply( Y, X ) ) ), multiply(
% 0.68/1.10 X, identity ) ) ] )
% 0.68/1.10 , 0, clause( 508, [ =( X, multiply( Y, multiply( Y, multiply( Y, X ) ) ) )
% 0.68/1.10 ] )
% 0.68/1.10 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.68/1.10 :=( X, X ), :=( Y, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 510, [ =( multiply( X, identity ), X ) ] )
% 0.68/1.10 , clause( 509, [ =( X, multiply( X, identity ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 28, [ =( multiply( Y, identity ), Y ) ] )
% 0.68/1.10 , clause( 510, [ =( multiply( X, identity ), X ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 513, [ =( multiply( X, multiply( X, multiply( X, Y ) ) ), Y ) ] )
% 0.68/1.10 , clause( 28, [ =( multiply( Y, identity ), Y ) ] )
% 0.68/1.10 , 0, clause( 27, [ =( multiply( Y, multiply( Y, multiply( Y, X ) ) ),
% 0.68/1.10 multiply( X, identity ) ) ] )
% 0.68/1.10 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.68/1.10 :=( X, Y ), :=( Y, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 32, [ =( multiply( Y, multiply( Y, multiply( Y, X ) ) ), X ) ] )
% 0.68/1.10 , clause( 513, [ =( multiply( X, multiply( X, multiply( X, Y ) ) ), Y ) ]
% 0.68/1.10 )
% 0.68/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.10 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 517, [ =( multiply( multiply( Y, Z ), multiply( Z, Z ) ), Y ) ] )
% 0.68/1.10 , clause( 32, [ =( multiply( Y, multiply( Y, multiply( Y, X ) ) ), X ) ] )
% 0.68/1.10 , 0, clause( 8, [ =( multiply( X, multiply( X, multiply( X, multiply(
% 0.68/1.10 multiply( Y, Z ), multiply( Z, Z ) ) ) ) ), Y ) ] )
% 0.68/1.10 , 0, 1, substitution( 0, [ :=( X, multiply( multiply( Y, Z ), multiply( Z,
% 0.68/1.10 Z ) ) ), :=( Y, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z
% 0.68/1.10 , Z )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 33, [ =( multiply( multiply( Y, Z ), multiply( Z, Z ) ), Y ) ] )
% 0.68/1.10 , clause( 517, [ =( multiply( multiply( Y, Z ), multiply( Z, Z ) ), Y ) ]
% 0.68/1.10 )
% 0.68/1.10 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 520, [ =( identity, multiply( X, multiply( X, X ) ) ) ] )
% 0.68/1.10 , clause( 19, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 523, [ =( identity, multiply( multiply( X, X ), X ) ) ] )
% 0.68/1.10 , clause( 33, [ =( multiply( multiply( Y, Z ), multiply( Z, Z ) ), Y ) ] )
% 0.68/1.10 , 0, clause( 520, [ =( identity, multiply( X, multiply( X, X ) ) ) ] )
% 0.68/1.10 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.68/1.10 substitution( 1, [ :=( X, multiply( X, X ) )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 524, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.68/1.10 , clause( 523, [ =( identity, multiply( multiply( X, X ), X ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 35, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.68/1.10 , clause( 524, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 526, [ =( X, multiply( multiply( X, Y ), multiply( Y, Y ) ) ) ] )
% 0.68/1.10 , clause( 33, [ =( multiply( multiply( Y, Z ), multiply( Z, Z ) ), Y ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 529, [ =( multiply( X, X ), multiply( identity, multiply( X, X ) )
% 0.68/1.10 ) ] )
% 0.68/1.10 , clause( 35, [ =( multiply( multiply( X, X ), X ), identity ) ] )
% 0.68/1.10 , 0, clause( 526, [ =( X, multiply( multiply( X, Y ), multiply( Y, Y ) ) )
% 0.68/1.10 ] )
% 0.68/1.10 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.68/1.10 multiply( X, X ) ), :=( Y, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 530, [ =( multiply( identity, multiply( X, X ) ), multiply( X, X )
% 0.68/1.10 ) ] )
% 0.68/1.10 , clause( 529, [ =( multiply( X, X ), multiply( identity, multiply( X, X )
% 0.68/1.10 ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 39, [ =( multiply( identity, multiply( X, X ) ), multiply( X, X ) )
% 0.68/1.10 ] )
% 0.68/1.10 , clause( 530, [ =( multiply( identity, multiply( X, X ) ), multiply( X, X
% 0.68/1.10 ) ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 532, [ =( multiply( X, X ), multiply( identity, multiply( X, X ) )
% 0.68/1.10 ) ] )
% 0.68/1.10 , clause( 39, [ =( multiply( identity, multiply( X, X ) ), multiply( X, X )
% 0.68/1.10 ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 536, [ =( multiply( multiply( X, X ), multiply( X, X ) ), multiply(
% 0.68/1.10 identity, X ) ) ] )
% 0.68/1.10 , clause( 33, [ =( multiply( multiply( Y, Z ), multiply( Z, Z ) ), Y ) ] )
% 0.68/1.10 , 0, clause( 532, [ =( multiply( X, X ), multiply( identity, multiply( X, X
% 0.68/1.10 ) ) ) ] )
% 0.68/1.10 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.68/1.10 substitution( 1, [ :=( X, multiply( X, X ) )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 537, [ =( X, multiply( identity, X ) ) ] )
% 0.68/1.10 , clause( 33, [ =( multiply( multiply( Y, Z ), multiply( Z, Z ) ), Y ) ] )
% 0.68/1.10 , 0, clause( 536, [ =( multiply( multiply( X, X ), multiply( X, X ) ),
% 0.68/1.10 multiply( identity, X ) ) ] )
% 0.68/1.10 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.68/1.10 substitution( 1, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 539, [ =( multiply( identity, X ), X ) ] )
% 0.68/1.10 , clause( 537, [ =( X, multiply( identity, X ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 43, [ =( multiply( identity, X ), X ) ] )
% 0.68/1.10 , clause( 539, [ =( multiply( identity, X ), X ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 542, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.68/1.10 ), multiply( identity, Z ) ) ) ] )
% 0.68/1.10 , clause( 6, [ =( multiply( multiply( X, Y ), multiply( identity, Z ) ),
% 0.68/1.10 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 paramod(
% 0.68/1.10 clause( 547, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.68/1.10 ), Z ) ) ] )
% 0.68/1.10 , clause( 43, [ =( multiply( identity, X ), X ) ] )
% 0.68/1.10 , 0, clause( 542, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply(
% 0.68/1.10 X, Y ), multiply( identity, Z ) ) ) ] )
% 0.68/1.10 , 0, 10, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.68/1.10 :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 47, [ =( multiply( Y, multiply( Z, X ) ), multiply( multiply( Y, Z
% 0.68/1.10 ), X ) ) ] )
% 0.68/1.10 , clause( 547, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.68/1.10 , Y ), Z ) ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.68/1.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 562, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.68/1.10 , Z ) ) ) ] )
% 0.68/1.10 , clause( 47, [ =( multiply( Y, multiply( Z, X ) ), multiply( multiply( Y,
% 0.68/1.10 Z ), X ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 eqswap(
% 0.68/1.10 clause( 563, [ ~( =( multiply( multiply( a, b ), c ), multiply( a, multiply(
% 0.68/1.10 b, c ) ) ) ) ] )
% 0.68/1.10 , clause( 1, [ ~( =( multiply( a, multiply( b, c ) ), multiply( multiply( a
% 0.68/1.10 , b ), c ) ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 resolution(
% 0.68/1.10 clause( 564, [] )
% 0.68/1.10 , clause( 563, [ ~( =( multiply( multiply( a, b ), c ), multiply( a,
% 0.68/1.10 multiply( b, c ) ) ) ) ] )
% 0.68/1.10 , 0, clause( 562, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.68/1.10 multiply( Y, Z ) ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 0.68/1.10 Z, c )] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 51, [] )
% 0.68/1.10 , clause( 564, [] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 end.
% 0.68/1.10
% 0.68/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.10
% 0.68/1.10 Memory use:
% 0.68/1.10
% 0.68/1.10 space for terms: 735
% 0.68/1.10 space for clauses: 6860
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 clauses generated: 422
% 0.68/1.10 clauses kept: 52
% 0.68/1.10 clauses selected: 19
% 0.68/1.10 clauses deleted: 11
% 0.68/1.10 clauses inuse deleted: 0
% 0.68/1.10
% 0.68/1.10 subsentry: 2739
% 0.68/1.10 literals s-matched: 296
% 0.68/1.10 literals matched: 231
% 0.68/1.10 full subsumption: 0
% 0.68/1.10
% 0.68/1.10 checksum: -1916716595
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 Bliksem ended
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