TSTP Solution File: GRP117-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP117-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 0.71s 1.09s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP117-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jun 13 20:25:54 EDT 2022
% 0.13/0.35 % 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, identity ), a ) ) ]
% 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, identity ), a ) ) ] )
% 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( 16, [ =( multiply( identity, multiply( multiply( X, X ), multiply(
% 0.71/1.09 X, X ) ) ), X ) ] )
% 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( 20, [ =( multiply( multiply( X, X ), identity ), multiply( X, X ) )
% 0.71/1.09 ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 22, [ =( multiply( identity, identity ), identity ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 24, [ =( multiply( multiply( Y, identity ), identity ), Y ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 27, [ =( multiply( Y, multiply( Y, multiply( Y, X ) ) ), multiply(
% 0.71/1.09 X, identity ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 28, [ =( multiply( Y, identity ), Y ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 31, [] )
% 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( 33, [ =( 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( 34, [ ~( =( multiply( a, identity ), a ) ) ] )
% 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( 33, [ =( 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, identity ), a ) ) ] )
% 0.71/1.09 , clause( 34, [ ~( =( multiply( a, identity ), a ) ) ] )
% 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( 38, [ =( 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( 44, [ =( 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( 38, [ =( 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( 48, [ =( 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( 44, [ =( 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( 48, [ =( 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( 50, [ =( 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( 57, [ =( 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( 50, [ =( 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( 57, [ =( 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( 70, [ =( 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( 79, [ =( 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( 70, [ =( 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( 90, [ =( multiply( Y, multiply( Y, multiply( multiply( multiply( Y
% 0.71/1.09 , X ), Z ), multiply( Z, Z ) ) ) ), X ) ] )
% 0.71/1.09 , clause( 79, [ =( 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( 90, [ =( 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( 102, [ =( 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( 112, [ =( 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( 102, [ =( 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( 132, [ =( 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( 112, [ =( 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( 133, [ =( multiply( Y, multiply( Y, multiply( Y, multiply( X,
% 0.71/1.09 identity ) ) ) ), X ) ] )
% 0.71/1.09 , clause( 132, [ =( 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( 133, [ =( 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( 135, [ =( 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( 144, [ =( 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( 135, [ =( 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( 145, [ =( multiply( multiply( X, Y ), multiply( multiply( X, Y ),
% 0.71/1.09 multiply( X, multiply( Y, identity ) ) ) ), identity ) ] )
% 0.71/1.09 , 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, 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( 145, [ =( 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( 147, [ =( 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( 158, [ =( 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( 147, [ =( 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( 162, [ =( 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( 158, [ =( 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( 163, [ =( multiply( identity, multiply( X, multiply( X, multiply( X
% 0.71/1.09 , identity ) ) ) ), identity ) ] )
% 0.71/1.09 , clause( 162, [ =( 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( 163, [ =( 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( 165, [ =( 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( 168, [ =( 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( 165, [ =( 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( 169, [ =( 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( 168, [ =( 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( 170, [ =( 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( 169, [ =( 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( 171, [ =( multiply( X, multiply( X, multiply( X, identity ) ) ),
% 0.71/1.09 identity ) ] )
% 0.71/1.09 , clause( 170, [ =( 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( 171, [ =( 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( 173, [ =( 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( 179, [ =( 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( 173, [ =( 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( 181, [ =( 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( 179, [ =( 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( 181, [ =( 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 eqswap(
% 0.71/1.09 clause( 184, [ =( 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( 191, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.71/1.09 identity, multiply( multiply( multiply( identity, X ), multiply( multiply(
% 0.71/1.09 identity, X ), identity ) ), multiply( multiply( identity, X ), multiply(
% 0.71/1.09 multiply( identity, X ), 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( 184, [ =( 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, 5, substitution( 0, [ :=( X, multiply( identity, X ) )] ),
% 0.71/1.09 substitution( 1, [ :=( X, identity ), :=( Y, X ), :=( Z, multiply(
% 0.71/1.09 multiply( identity, X ), multiply( multiply( identity, X ), identity ) )
% 0.71/1.09 )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 197, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.71/1.09 identity, multiply( multiply( multiply( identity, X ), multiply( multiply(
% 0.71/1.09 identity, X ), identity ) ), multiply( multiply( multiply( identity, X )
% 0.71/1.09 , multiply( identity, X ) ), 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( 191, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.71/1.09 identity, multiply( multiply( multiply( identity, X ), multiply( multiply(
% 0.71/1.09 identity, X ), identity ) ), multiply( multiply( identity, X ), multiply(
% 0.71/1.09 multiply( identity, X ), identity ) ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, 18, substitution( 0, [ :=( X, Y ), :=( Y, multiply( identity, X ) ),
% 0.71/1.09 :=( Z, multiply( identity, 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( 208, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.71/1.09 identity, multiply( multiply( multiply( multiply( identity, X ), multiply(
% 0.71/1.09 identity, X ) ), identity ), multiply( multiply( multiply( identity, X )
% 0.71/1.09 , multiply( identity, X ) ), 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( 197, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.71/1.09 identity, multiply( multiply( multiply( identity, X ), multiply( multiply(
% 0.71/1.09 identity, X ), identity ) ), multiply( multiply( multiply( identity, X )
% 0.71/1.09 , multiply( identity, X ) ), identity ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, multiply( identity, X ) ),
% 0.71/1.09 :=( Z, multiply( identity, 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( 209, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.71/1.09 identity, multiply( multiply( multiply( multiply( multiply( identity, X )
% 0.71/1.09 , multiply( identity, X ) ), identity ), multiply( multiply( identity, X
% 0.71/1.09 ), multiply( identity, X ) ) ), 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( 208, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.71/1.09 identity, multiply( multiply( multiply( multiply( identity, X ), multiply(
% 0.71/1.09 identity, X ) ), identity ), multiply( multiply( multiply( identity, X )
% 0.71/1.09 , multiply( identity, X ) ), identity ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, multiply( multiply( multiply(
% 0.71/1.09 identity, X ), multiply( identity, X ) ), identity ) ), :=( Z, multiply(
% 0.71/1.09 multiply( identity, X ), multiply( identity, X ) ) )] ), substitution( 1
% 0.71/1.09 , [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 216, [ =( X, multiply( multiply( multiply( multiply( identity, X )
% 0.71/1.09 , multiply( identity, X ) ), identity ), multiply( multiply( identity, X
% 0.71/1.09 ), multiply( identity, X ) ) ) ) ] )
% 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( 209, [ =( X, multiply( identity, multiply( identity, multiply(
% 0.71/1.09 identity, multiply( multiply( multiply( multiply( multiply( identity, X )
% 0.71/1.09 , multiply( identity, X ) ), identity ), multiply( multiply( identity, X
% 0.71/1.09 ), multiply( identity, X ) ) ), identity ) ) ) ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, multiply( multiply(
% 0.71/1.09 multiply( multiply( identity, X ), multiply( identity, X ) ), identity )
% 0.71/1.09 , multiply( multiply( identity, X ), multiply( identity, 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( 218, [ =( X, multiply( multiply( multiply( multiply( identity, X )
% 0.71/1.09 , multiply( identity, X ) ), identity ), multiply( identity, multiply( X
% 0.71/1.09 , X ) ) ) ) ] )
% 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( 216, [ =( X, multiply( multiply( multiply( multiply( identity
% 0.71/1.09 , X ), multiply( identity, X ) ), identity ), multiply( multiply(
% 0.71/1.09 identity, X ), multiply( identity, X ) ) ) ) ] )
% 0.71/1.09 , 0, 12, substitution( 0, [ :=( X, identity ), :=( 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( 225, [ =( X, multiply( multiply( multiply( identity, multiply( X, X
% 0.71/1.09 ) ), identity ), multiply( identity, multiply( X, X ) ) ) ) ] )
% 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( 218, [ =( X, multiply( multiply( multiply( multiply( identity
% 0.71/1.09 , X ), multiply( identity, X ) ), identity ), multiply( identity,
% 0.71/1.09 multiply( X, X ) ) ) ) ] )
% 0.71/1.09 , 0, 4, substitution( 0, [ :=( X, identity ), :=( 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( 229, [ =( X, multiply( multiply( identity, multiply( X, X ) ),
% 0.71/1.09 multiply( identity, multiply( X, X ) ) ) ) ] )
% 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( 225, [ =( X, multiply( multiply( multiply( identity, multiply(
% 0.71/1.09 X, X ) ), identity ), multiply( identity, multiply( X, X ) ) ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, multiply( identity, multiply( X, X ) ) )
% 0.71/1.09 , :=( Y, identity ), :=( Z, multiply( X, X ) )] ), substitution( 1, [
% 0.71/1.09 :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 230, [ =( X, multiply( identity, multiply( multiply( X, X ),
% 0.71/1.09 multiply( X, X ) ) ) ) ] )
% 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( 229, [ =( X, multiply( multiply( identity, multiply( X, X ) )
% 0.71/1.09 , multiply( identity, multiply( X, X ) ) ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, multiply( X, X ) ),
% 0.71/1.09 :=( Z, multiply( X, X ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 231, [ =( multiply( identity, multiply( multiply( X, X ), multiply(
% 0.71/1.09 X, X ) ) ), X ) ] )
% 0.71/1.09 , clause( 230, [ =( X, multiply( identity, multiply( multiply( X, X ),
% 0.71/1.09 multiply( X, X ) ) ) ) ] )
% 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( 16, [ =( multiply( identity, multiply( multiply( X, X ), multiply(
% 0.71/1.09 X, X ) ) ), X ) ] )
% 0.71/1.09 , clause( 231, [ =( multiply( identity, multiply( multiply( X, X ),
% 0.71/1.09 multiply( X, X ) ) ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 236, [ =( 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( 238, [ =( 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( 236, [ =( 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( 238, [ =( 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( 241, [ =( 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( 245, [ =( 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( 241, [ =( 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( 246, [ =( 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( 245, [ =( 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( 248, [ =( 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( 246, [ =( 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( 249, [ =( 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( 248, [ =( 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( 249, [ =( 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( 252, [ =( 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( 255, [ =( multiply( X, X ), multiply( X, multiply( X, multiply(
% 0.71/1.09 identity, multiply( identity, 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( 252, [ =( Y, multiply( X, multiply( X, multiply( multiply(
% 0.71/1.09 multiply( X, Y ), Z ), multiply( Z, Z ) ) ) ) ) ] )
% 0.71/1.09 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.09 :=( Y, multiply( X, X ) ), :=( Z, identity )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 260, [ =( multiply( X, X ), multiply( X, multiply( X, identity ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 19, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.71/1.09 , 0, clause( 255, [ =( multiply( X, X ), multiply( X, multiply( X, multiply(
% 0.71/1.09 identity, multiply( identity, identity ) ) ) ) ) ] )
% 0.71/1.09 , 0, 8, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.71/1.09 X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 261, [ =( multiply( X, X ), multiply( multiply( X, X ), identity )
% 0.71/1.09 ) ] )
% 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( 260, [ =( multiply( X, X ), multiply( X, multiply( X, identity
% 0.71/1.09 ) ) ) ] )
% 0.71/1.09 , 0, 4, 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 eqswap(
% 0.71/1.09 clause( 262, [ =( multiply( multiply( X, X ), identity ), multiply( X, X )
% 0.71/1.09 ) ] )
% 0.71/1.09 , clause( 261, [ =( multiply( X, X ), multiply( multiply( X, X ), identity
% 0.71/1.09 ) ) ] )
% 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( 20, [ =( multiply( multiply( X, X ), identity ), multiply( X, X ) )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 262, [ =( multiply( multiply( X, X ), identity ), multiply( X, X
% 0.71/1.09 ) ) ] )
% 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( 264, [ =( identity, multiply( multiply( X, multiply( X, X ) ),
% 0.71/1.09 identity ) ) ] )
% 0.71/1.09 , clause( 17, [ =( multiply( multiply( X, multiply( X, X ) ), identity ),
% 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 paramod(
% 0.71/1.09 clause( 273, [ =( identity, multiply( multiply( multiply( identity, X ),
% 0.71/1.09 multiply( identity, multiply( X, 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( 264, [ =( identity, multiply( multiply( X, multiply( X, X ) )
% 0.71/1.09 , identity ) ) ] )
% 0.71/1.09 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X )] ),
% 0.71/1.09 substitution( 1, [ :=( X, multiply( identity, X ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 275, [ =( identity, multiply( multiply( identity, multiply( X,
% 0.71/1.09 multiply( X, 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( 273, [ =( identity, multiply( multiply( multiply( identity, X
% 0.71/1.09 ), multiply( identity, multiply( X, X ) ) ), identity ) ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, multiply(
% 0.71/1.09 X, X ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 276, [ =( identity, multiply( multiply( identity, identity ),
% 0.71/1.09 identity ) ) ] )
% 0.71/1.09 , clause( 19, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.71/1.09 , 0, clause( 275, [ =( identity, multiply( multiply( identity, multiply( X
% 0.71/1.09 , multiply( X, X ) ) ), identity ) ) ] )
% 0.71/1.09 , 0, 5, 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( 277, [ =( identity, multiply( identity, identity ) ) ] )
% 0.71/1.09 , clause( 20, [ =( multiply( multiply( X, X ), identity ), multiply( X, X )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 276, [ =( identity, multiply( multiply( identity, identity ),
% 0.71/1.09 identity ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 278, [ =( multiply( identity, identity ), identity ) ] )
% 0.71/1.09 , clause( 277, [ =( identity, multiply( identity, identity ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 22, [ =( multiply( identity, identity ), identity ) ] )
% 0.71/1.09 , clause( 278, [ =( multiply( identity, identity ), 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( 280, [ =( 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( 287, [ =( X, multiply( Y, multiply( multiply( Y, multiply( multiply(
% 0.71/1.09 Y, X ), multiply( identity, multiply( multiply( identity, identity ),
% 0.71/1.09 identity ) ) ) ), identity ) ) ) ] )
% 0.71/1.09 , clause( 22, [ =( multiply( identity, identity ), identity ) ] )
% 0.71/1.09 , 0, clause( 280, [ =( 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, 17, substitution( 0, [] ), substitution( 1, [ :=( X, Y ), :=( Y, X ),
% 0.71/1.09 :=( Z, identity )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 288, [ =( X, multiply( Y, multiply( multiply( Y, multiply( multiply(
% 0.71/1.09 Y, X ), multiply( identity, multiply( identity, identity ) ) ) ),
% 0.71/1.09 identity ) ) ) ] )
% 0.71/1.09 , clause( 22, [ =( multiply( identity, identity ), identity ) ] )
% 0.71/1.09 , 0, clause( 287, [ =( X, multiply( Y, multiply( multiply( Y, multiply(
% 0.71/1.09 multiply( Y, X ), multiply( identity, multiply( multiply( identity,
% 0.71/1.09 identity ), identity ) ) ) ), identity ) ) ) ] )
% 0.71/1.09 , 0, 14, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 398, [ =( X, multiply( Y, multiply( multiply( Y, multiply( multiply(
% 0.71/1.09 Y, X ), multiply( multiply( identity, identity ), 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( 288, [ =( X, multiply( Y, multiply( multiply( Y, multiply(
% 0.71/1.09 multiply( Y, X ), multiply( identity, multiply( identity, identity ) ) )
% 0.71/1.09 ), identity ) ) ) ] )
% 0.71/1.09 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, identity ), :=( Z, identity
% 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( 400, [ =( X, multiply( Y, multiply( multiply( Y, multiply( multiply(
% 0.71/1.09 multiply( Y, X ), multiply( identity, identity ) ), 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( 398, [ =( X, multiply( Y, multiply( multiply( Y, multiply(
% 0.71/1.09 multiply( Y, X ), multiply( multiply( identity, identity ), identity ) )
% 0.71/1.09 ), identity ) ) ) ] )
% 0.71/1.09 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, multiply( Y, X ) ), :=( Z,
% 0.71/1.09 multiply( identity, identity ) )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.71/1.09 , Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 402, [ =( X, multiply( Y, multiply( multiply( multiply( Y, multiply(
% 0.71/1.09 multiply( Y, X ), multiply( identity, identity ) ) ), 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( 400, [ =( X, multiply( Y, multiply( multiply( Y, multiply(
% 0.71/1.09 multiply( multiply( Y, X ), multiply( identity, identity ) ), identity )
% 0.71/1.09 ), identity ) ) ) ] )
% 0.71/1.09 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, multiply(
% 0.71/1.09 multiply( Y, X ), multiply( identity, identity ) ) )] ), substitution( 1
% 0.71/1.09 , [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 427, [ =( X, multiply( Y, multiply( multiply( multiply( Y, multiply(
% 0.71/1.09 Y, multiply( X, identity ) ) ), 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( 402, [ =( X, multiply( Y, multiply( multiply( multiply( Y,
% 0.71/1.09 multiply( multiply( Y, X ), multiply( identity, identity ) ) ), identity
% 0.71/1.09 ), identity ) ) ) ] )
% 0.71/1.09 , 0, 8, 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 paramod(
% 0.71/1.09 clause( 428, [ =( X, multiply( multiply( Y, multiply( multiply( Y, multiply(
% 0.71/1.09 Y, multiply( X, identity ) ) ), identity ) ), 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( 427, [ =( X, multiply( Y, multiply( multiply( multiply( Y,
% 0.71/1.09 multiply( Y, multiply( X, identity ) ) ), identity ), identity ) ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, multiply(
% 0.71/1.09 multiply( Y, multiply( Y, multiply( X, identity ) ) ), identity ) )] ),
% 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( 436, [ =( X, multiply( multiply( multiply( Y, multiply( Y, multiply(
% 0.71/1.09 Y, multiply( X, identity ) ) ) ), identity ), 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( 428, [ =( X, multiply( multiply( Y, multiply( multiply( Y,
% 0.71/1.09 multiply( Y, multiply( X, identity ) ) ), identity ) ), identity ) ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, multiply( Y,
% 0.71/1.09 multiply( Y, multiply( X, identity ) ) ) )] ), substitution( 1, [ :=( X,
% 0.71/1.09 X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 437, [ =( X, multiply( multiply( X, identity ), 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, clause( 436, [ =( X, multiply( multiply( multiply( Y, multiply( Y,
% 0.71/1.09 multiply( Y, multiply( X, identity ) ) ) ), identity ), identity ) ) ] )
% 0.71/1.09 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 438, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.71/1.09 , clause( 437, [ =( X, multiply( multiply( X, identity ), 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( 24, [ =( multiply( multiply( Y, identity ), identity ), Y ) ] )
% 0.71/1.09 , clause( 438, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 440, [ =( 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( 441, [ =( multiply( X, identity ), multiply( Y, multiply( Y,
% 0.71/1.09 multiply( Y, X ) ) ) ) ] )
% 0.71/1.09 , clause( 24, [ =( multiply( multiply( Y, identity ), identity ), Y ) ] )
% 0.71/1.09 , 0, clause( 440, [ =( Y, multiply( X, multiply( X, multiply( X, multiply(
% 0.71/1.09 Y, identity ) ) ) ) ) ] )
% 0.71/1.09 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.09 :=( X, Y ), :=( Y, multiply( X, identity ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 442, [ =( multiply( Y, multiply( Y, multiply( Y, X ) ) ), multiply(
% 0.71/1.09 X, identity ) ) ] )
% 0.71/1.09 , clause( 441, [ =( multiply( X, identity ), multiply( Y, multiply( Y,
% 0.71/1.09 multiply( Y, X ) ) ) ) ] )
% 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( 27, [ =( multiply( Y, multiply( Y, multiply( Y, X ) ) ), multiply(
% 0.71/1.09 X, identity ) ) ] )
% 0.71/1.09 , clause( 442, [ =( multiply( Y, multiply( Y, multiply( Y, X ) ) ),
% 0.71/1.09 multiply( X, 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( 444, [ =( 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( 447, [ =( X, multiply( Y, multiply( Y, multiply( identity, multiply(
% 0.71/1.09 multiply( multiply( Y, X ), multiply( Y, X ) ), multiply( multiply( Y, X
% 0.71/1.09 ), multiply( Y, X ) ) ) ) ) ) ) ] )
% 0.71/1.09 , clause( 19, [ =( multiply( X, multiply( X, X ) ), identity ) ] )
% 0.71/1.09 , 0, clause( 444, [ =( Y, multiply( X, multiply( X, multiply( multiply(
% 0.71/1.09 multiply( X, Y ), Z ), multiply( Z, Z ) ) ) ) ) ] )
% 0.71/1.09 , 0, 7, substitution( 0, [ :=( X, multiply( Y, X ) )] ), substitution( 1, [
% 0.71/1.09 :=( X, Y ), :=( Y, X ), :=( Z, multiply( multiply( Y, X ), multiply( Y,
% 0.71/1.09 X ) ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 449, [ =( X, multiply( Y, multiply( Y, multiply( Y, X ) ) ) ) ] )
% 0.71/1.09 , clause( 16, [ =( multiply( identity, multiply( multiply( X, X ), multiply(
% 0.71/1.09 X, X ) ) ), X ) ] )
% 0.71/1.09 , 0, clause( 447, [ =( X, multiply( Y, multiply( Y, multiply( identity,
% 0.71/1.09 multiply( multiply( multiply( Y, X ), multiply( Y, X ) ), multiply(
% 0.71/1.09 multiply( Y, X ), multiply( Y, X ) ) ) ) ) ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, multiply( Y, X ) )] ), substitution( 1, [
% 0.71/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 450, [ =( X, multiply( X, identity ) ) ] )
% 0.71/1.09 , clause( 27, [ =( multiply( Y, multiply( Y, multiply( Y, X ) ) ), multiply(
% 0.71/1.09 X, identity ) ) ] )
% 0.71/1.09 , 0, clause( 449, [ =( X, multiply( Y, multiply( Y, multiply( Y, X ) ) ) )
% 0.71/1.09 ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 451, [ =( multiply( X, identity ), X ) ] )
% 0.71/1.09 , clause( 450, [ =( X, 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( 28, [ =( multiply( Y, identity ), Y ) ] )
% 0.71/1.09 , clause( 451, [ =( multiply( X, identity ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 452, [ =( X, multiply( X, identity ) ) ] )
% 0.71/1.09 , clause( 28, [ =( multiply( Y, identity ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 453, [ ~( =( a, multiply( a, identity ) ) ) ] )
% 0.71/1.09 , clause( 1, [ ~( =( multiply( a, identity ), a ) ) ] )
% 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( 454, [] )
% 0.71/1.09 , clause( 453, [ ~( =( a, multiply( a, identity ) ) ) ] )
% 0.71/1.09 , 0, clause( 452, [ =( X, multiply( X, identity ) ) ] )
% 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( 31, [] )
% 0.71/1.09 , clause( 454, [] )
% 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: 485
% 0.71/1.09 space for clauses: 4528
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 clauses generated: 193
% 0.71/1.09 clauses kept: 32
% 0.71/1.09 clauses selected: 13
% 0.71/1.09 clauses deleted: 4
% 0.71/1.09 clauses inuse deleted: 0
% 0.71/1.09
% 0.71/1.09 subsentry: 2284
% 0.71/1.09 literals s-matched: 211
% 0.71/1.09 literals matched: 179
% 0.71/1.09 full subsumption: 0
% 0.71/1.09
% 0.71/1.09 checksum: -2124050302
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksem ended
%------------------------------------------------------------------------------