TSTP Solution File: GRP087-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP087-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 07:34:48 EDT 2022
% Result : Unsatisfiable 0.69s 1.09s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP087-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 13 08:30:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.69/1.09 *** allocated 10000 integers for termspace/termends
% 0.69/1.09 *** allocated 10000 integers for clauses
% 0.69/1.09 *** allocated 10000 integers for justifications
% 0.69/1.09 Bliksem 1.12
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Automatic Strategy Selection
% 0.69/1.09
% 0.69/1.09 Clauses:
% 0.69/1.09 [
% 0.69/1.09 [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y ) ), Z ),
% 0.69/1.09 Y ) ), Z ) ],
% 0.69/1.09 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 0.69/1.09 , ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =(
% 0.69/1.09 multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, c3 ) ) )
% 0.69/1.09 ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ]
% 0.69/1.09 ] .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.69/1.09 This is a pure equality problem
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Options Used:
% 0.69/1.09
% 0.69/1.09 useres = 1
% 0.69/1.09 useparamod = 1
% 0.69/1.09 useeqrefl = 1
% 0.69/1.09 useeqfact = 1
% 0.69/1.09 usefactor = 1
% 0.69/1.09 usesimpsplitting = 0
% 0.69/1.09 usesimpdemod = 5
% 0.69/1.09 usesimpres = 3
% 0.69/1.09
% 0.69/1.09 resimpinuse = 1000
% 0.69/1.09 resimpclauses = 20000
% 0.69/1.09 substype = eqrewr
% 0.69/1.09 backwardsubs = 1
% 0.69/1.09 selectoldest = 5
% 0.69/1.09
% 0.69/1.09 litorderings [0] = split
% 0.69/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.09
% 0.69/1.09 termordering = kbo
% 0.69/1.09
% 0.69/1.09 litapriori = 0
% 0.69/1.09 termapriori = 1
% 0.69/1.09 litaposteriori = 0
% 0.69/1.09 termaposteriori = 0
% 0.69/1.09 demodaposteriori = 0
% 0.69/1.09 ordereqreflfact = 0
% 0.69/1.09
% 0.69/1.09 litselect = negord
% 0.69/1.09
% 0.69/1.09 maxweight = 15
% 0.69/1.09 maxdepth = 30000
% 0.69/1.09 maxlength = 115
% 0.69/1.09 maxnrvars = 195
% 0.69/1.09 excuselevel = 1
% 0.69/1.09 increasemaxweight = 1
% 0.69/1.09
% 0.69/1.09 maxselected = 10000000
% 0.69/1.09 maxnrclauses = 10000000
% 0.69/1.09
% 0.69/1.09 showgenerated = 0
% 0.69/1.09 showkept = 0
% 0.69/1.09 showselected = 0
% 0.69/1.09 showdeleted = 0
% 0.69/1.09 showresimp = 1
% 0.69/1.09 showstatus = 2000
% 0.69/1.09
% 0.69/1.09 prologoutput = 1
% 0.69/1.09 nrgoals = 5000000
% 0.69/1.09 totalproof = 1
% 0.69/1.09
% 0.69/1.09 Symbols occurring in the translation:
% 0.69/1.09
% 0.69/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.09 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.69/1.09 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 0.69/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 multiply [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.69/1.09 inverse [42, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.69/1.09 a1 [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.69/1.09 b1 [45, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.69/1.09 b2 [46, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.69/1.09 a2 [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.69/1.09 a3 [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.69/1.09 b3 [49, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.69/1.09 c3 [50, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.69/1.09 a4 [51, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.69/1.09 b4 [52, 0] (w:1, o:19, a:1, s:1, b:0).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Starting Search:
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksems!, er is een bewijs:
% 0.69/1.09 % SZS status Unsatisfiable
% 0.69/1.09 % SZS output start Refutation
% 0.69/1.09
% 0.69/1.09 clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y )
% 0.69/1.09 ), Z ), Y ) ), Z ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.69/1.09 a1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 0.69/1.09 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 0.69/1.09 c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply( X
% 0.69/1.09 , Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.69/1.09 multiply( T, Y ) ) ), T ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 5, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) ),
% 0.69/1.09 multiply( Z, Y ) ) ), Z ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 6, [ =( multiply( inverse( Z ), multiply( inverse( multiply(
% 0.69/1.09 inverse( multiply( X, Y ) ), Y ) ), Z ) ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 7, [ =( inverse( multiply( inverse( multiply( X, Y ) ), Y ) ), X )
% 0.69/1.09 ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 14, [ =( multiply( inverse( Z ), multiply( X, Z ) ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 20, [ =( multiply( X, multiply( Z, Y ) ), multiply( multiply( X, Z
% 0.69/1.09 ), Y ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 23, [ =( multiply( multiply( inverse( Z ), X ), Z ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 24, [ =( inverse( multiply( inverse( Y ), X ) ), multiply( inverse(
% 0.69/1.09 X ), Y ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 26, [ =( multiply( multiply( Z, inverse( X ) ), X ), Z ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 33, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y ) )
% 0.69/1.09 ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 37, [ =( multiply( multiply( Z, Y ), inverse( Y ) ), Z ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 43, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 48, [ =( multiply( multiply( X, Y ), inverse( X ) ), Y ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 51, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 55, [ =( multiply( multiply( inverse( X ), X ), Y ), Y ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 57, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.69/1.09 , a1 ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 63, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X ) )
% 0.69/1.09 ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 71, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.69/1.09 a1 ) ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 73, [] )
% 0.69/1.09 .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 % SZS output end Refutation
% 0.69/1.09 found a proof!
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 initialclauses(
% 0.69/1.09 [ clause( 75, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.69/1.09 ) ), Z ), Y ) ), Z ) ] )
% 0.69/1.09 , clause( 76, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.69/1.09 ), b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.69/1.09 , ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 0.69/1.09 c3 ) ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 0.69/1.09 ] ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y )
% 0.69/1.09 ), Z ), Y ) ), Z ) ] )
% 0.69/1.09 , clause( 75, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.69/1.09 ) ), Z ), Y ) ), Z ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 82, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 0.69/1.09 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~( =(
% 0.69/1.09 multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =( multiply(
% 0.69/1.09 multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 0.69/1.09 , clause( 76, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.69/1.09 ), b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.69/1.09 , ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 0.69/1.09 c3 ) ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 0.69/1.09 , 3, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 85, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.69/1.09 a3, b3 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~(
% 0.69/1.09 =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~(
% 0.69/1.09 =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ] )
% 0.69/1.09 , clause( 82, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 0.69/1.09 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~( =(
% 0.69/1.09 multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =( multiply(
% 0.69/1.09 multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 0.69/1.09 , 3, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 87, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ),
% 0.69/1.09 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 0.69/1.09 c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 0.69/1.09 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ) ] )
% 0.69/1.09 , clause( 85, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.69/1.09 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4
% 0.69/1.09 ) ) ), ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1
% 0.69/1.09 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ] )
% 0.69/1.09 , 3, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 89, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.69/1.09 , a1 ) ) ), ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ),
% 0.69/1.09 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 0.69/1.09 c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 0.69/1.09 , clause( 87, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 0.69/1.09 , ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 )
% 0.69/1.09 , c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 0.69/1.09 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ) ] )
% 0.69/1.09 , 3, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 91, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 0.69/1.09 multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =(
% 0.69/1.09 a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ), ~( =( multiply( a3
% 0.69/1.09 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.69/1.09 , clause( 89, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.69/1.09 ), a1 ) ) ), ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 0.69/1.09 , ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 )
% 0.69/1.09 , c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 0.69/1.09 , 3, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 92, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 0.69/1.09 ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =( multiply( inverse(
% 0.69/1.09 b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply( a3,
% 0.69/1.09 multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.69/1.09 , clause( 91, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 0.69/1.09 multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =(
% 0.69/1.09 a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ), ~( =( multiply( a3
% 0.69/1.09 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.69/1.09 , 2, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.69/1.09 a1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 0.69/1.09 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 0.69/1.09 c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 0.69/1.09 , clause( 92, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.69/1.09 , ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =( multiply(
% 0.69/1.09 inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply(
% 0.69/1.09 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 3 ), ==>( 2
% 0.69/1.09 , 0 ), ==>( 3, 2 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 94, [ =( Z, multiply( X, multiply( multiply( inverse( multiply( X,
% 0.69/1.09 Y ) ), Z ), Y ) ) ) ] )
% 0.69/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.69/1.09 ) ), Z ), Y ) ), Z ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 97, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.69/1.09 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.69/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.69/1.09 ) ), Z ), Y ) ), Z ) ] )
% 0.69/1.09 , 0, clause( 94, [ =( Z, multiply( X, multiply( multiply( inverse( multiply(
% 0.69/1.09 X, Y ) ), Z ), Y ) ) ) ] )
% 0.69/1.09 , 0, 15, substitution( 0, [ :=( X, inverse( multiply( X, Y ) ) ), :=( Y, Z
% 0.69/1.09 ), :=( Z, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.69/1.09 multiply( multiply( inverse( multiply( inverse( multiply( X, Y ) ), Z ) )
% 0.69/1.09 , T ), Z ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply( X
% 0.69/1.09 , Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.69/1.09 , clause( 97, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.69/1.09 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 102, [ =( Z, multiply( X, multiply( multiply( inverse( multiply( X
% 0.69/1.09 , Y ) ), Z ), Y ) ) ) ] )
% 0.69/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.69/1.09 ) ), Z ), Y ) ), Z ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 113, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.69/1.09 multiply( X, Z ) ) ) ) ] )
% 0.69/1.09 , clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.69/1.09 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.69/1.09 , 0, clause( 102, [ =( Z, multiply( X, multiply( multiply( inverse(
% 0.69/1.09 multiply( X, Y ) ), Z ), Y ) ) ) ] )
% 0.69/1.09 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 0.69/1.09 , substitution( 1, [ :=( X, inverse( multiply( Y, Z ) ) ), :=( Y, T ),
% 0.69/1.09 :=( Z, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 115, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.69/1.09 multiply( X, Z ) ) ), X ) ] )
% 0.69/1.09 , clause( 113, [ =( X, multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.69/1.09 multiply( X, Z ) ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.69/1.09 multiply( T, Y ) ) ), T ) ] )
% 0.69/1.09 , clause( 115, [ =( multiply( inverse( multiply( Y, Z ) ), multiply( Y,
% 0.69/1.09 multiply( X, Z ) ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 117, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.69/1.09 multiply( Z, Y ) ) ) ) ] )
% 0.69/1.09 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.69/1.09 multiply( T, Y ) ) ), T ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 121, [ =( X, multiply( inverse( multiply( inverse( multiply( X, Y )
% 0.69/1.09 ), multiply( Z, Y ) ) ), Z ) ) ] )
% 0.69/1.09 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.69/1.09 multiply( T, Y ) ) ), T ) ] )
% 0.69/1.09 , 0, clause( 117, [ =( Z, multiply( inverse( multiply( X, Y ) ), multiply(
% 0.69/1.09 X, multiply( Z, Y ) ) ) ) ] )
% 0.69/1.09 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.69/1.09 , substitution( 1, [ :=( X, inverse( multiply( X, Y ) ) ), :=( Y,
% 0.69/1.09 multiply( Z, Y ) ), :=( Z, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 124, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) )
% 0.69/1.09 , multiply( Z, Y ) ) ), Z ), X ) ] )
% 0.69/1.09 , clause( 121, [ =( X, multiply( inverse( multiply( inverse( multiply( X, Y
% 0.69/1.09 ) ), multiply( Z, Y ) ) ), Z ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 5, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) ),
% 0.69/1.09 multiply( Z, Y ) ) ), Z ), X ) ] )
% 0.69/1.09 , clause( 124, [ =( multiply( inverse( multiply( inverse( multiply( X, Y )
% 0.69/1.09 ), multiply( Z, Y ) ) ), Z ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 127, [ =( X, multiply( inverse( multiply( inverse( multiply( X, Y )
% 0.69/1.09 ), multiply( Z, Y ) ) ), Z ) ) ] )
% 0.69/1.09 , clause( 5, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) )
% 0.69/1.09 , multiply( Z, Y ) ) ), Z ), X ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 132, [ =( X, multiply( inverse( Z ), multiply( inverse( multiply(
% 0.69/1.09 inverse( multiply( X, Y ) ), Y ) ), Z ) ) ) ] )
% 0.69/1.09 , clause( 0, [ =( multiply( X, multiply( multiply( inverse( multiply( X, Y
% 0.69/1.09 ) ), Z ), Y ) ), Z ) ] )
% 0.69/1.09 , 0, clause( 127, [ =( X, multiply( inverse( multiply( inverse( multiply( X
% 0.69/1.09 , Y ) ), multiply( Z, Y ) ) ), Z ) ) ] )
% 0.69/1.09 , 0, 4, substitution( 0, [ :=( X, inverse( multiply( X, Y ) ) ), :=( Y, Y )
% 0.69/1.09 , :=( Z, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z,
% 0.69/1.09 multiply( inverse( multiply( inverse( multiply( X, Y ) ), Y ) ), Z ) )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 135, [ =( multiply( inverse( Y ), multiply( inverse( multiply(
% 0.69/1.09 inverse( multiply( X, Z ) ), Z ) ), Y ) ), X ) ] )
% 0.69/1.09 , clause( 132, [ =( X, multiply( inverse( Z ), multiply( inverse( multiply(
% 0.69/1.09 inverse( multiply( X, Y ) ), Y ) ), Z ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 6, [ =( multiply( inverse( Z ), multiply( inverse( multiply(
% 0.69/1.09 inverse( multiply( X, Y ) ), Y ) ), Z ) ), X ) ] )
% 0.69/1.09 , clause( 135, [ =( multiply( inverse( Y ), multiply( inverse( multiply(
% 0.69/1.09 inverse( multiply( X, Z ) ), Z ) ), Y ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 138, [ =( Y, multiply( inverse( X ), multiply( inverse( multiply(
% 0.69/1.09 inverse( multiply( Y, Z ) ), Z ) ), X ) ) ) ] )
% 0.69/1.09 , clause( 6, [ =( multiply( inverse( Z ), multiply( inverse( multiply(
% 0.69/1.09 inverse( multiply( X, Y ) ), Y ) ), Z ) ), X ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 140, [ =( X, inverse( multiply( inverse( multiply( X, Y ) ), Y ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 4, [ =( multiply( inverse( multiply( X, Y ) ), multiply( X,
% 0.69/1.09 multiply( T, Y ) ) ), T ) ] )
% 0.69/1.09 , 0, clause( 138, [ =( Y, multiply( inverse( X ), multiply( inverse(
% 0.69/1.09 multiply( inverse( multiply( Y, Z ) ), Z ) ), X ) ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, inverse( multiply( inverse( multiply( X,
% 0.69/1.09 Y ) ), Y ) ) ), :=( Y, Z ), :=( Z, T ), :=( T, inverse( multiply( inverse(
% 0.69/1.09 multiply( X, Y ) ), Y ) ) )] ), substitution( 1, [ :=( X, multiply(
% 0.69/1.09 inverse( multiply( inverse( multiply( X, Y ) ), Y ) ), Z ) ), :=( Y, X )
% 0.69/1.09 , :=( Z, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 143, [ =( inverse( multiply( inverse( multiply( X, Y ) ), Y ) ), X
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 140, [ =( X, inverse( multiply( inverse( multiply( X, Y ) ), Y )
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 7, [ =( inverse( multiply( inverse( multiply( X, Y ) ), Y ) ), X )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 143, [ =( inverse( multiply( inverse( multiply( X, Y ) ), Y ) ),
% 0.69/1.09 X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 147, [ =( Y, multiply( inverse( X ), multiply( inverse( multiply(
% 0.69/1.09 inverse( multiply( Y, Z ) ), Z ) ), X ) ) ) ] )
% 0.69/1.09 , clause( 6, [ =( multiply( inverse( Z ), multiply( inverse( multiply(
% 0.69/1.09 inverse( multiply( X, Y ) ), Y ) ), Z ) ), X ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 151, [ =( X, multiply( inverse( Y ), multiply( X, Y ) ) ) ] )
% 0.69/1.09 , clause( 7, [ =( inverse( multiply( inverse( multiply( X, Y ) ), Y ) ), X
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, clause( 147, [ =( Y, multiply( inverse( X ), multiply( inverse(
% 0.69/1.09 multiply( inverse( multiply( Y, Z ) ), Z ) ), X ) ) ) ] )
% 0.69/1.09 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.69/1.09 :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 155, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.69/1.09 , clause( 151, [ =( X, multiply( inverse( Y ), multiply( X, Y ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 14, [ =( multiply( inverse( Z ), multiply( X, Z ) ), X ) ] )
% 0.69/1.09 , clause( 155, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 157, [ =( multiply( X, multiply( T, Y ) ), multiply( multiply(
% 0.69/1.09 inverse( multiply( inverse( multiply( X, Y ) ), Z ) ), T ), Z ) ) ] )
% 0.69/1.09 , clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.69/1.09 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 160, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.69/1.09 ), Z ) ) ] )
% 0.69/1.09 , clause( 7, [ =( inverse( multiply( inverse( multiply( X, Y ) ), Y ) ), X
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, clause( 157, [ =( multiply( X, multiply( T, Y ) ), multiply( multiply(
% 0.69/1.09 inverse( multiply( inverse( multiply( X, Y ) ), Z ) ), T ), Z ) ) ] )
% 0.69/1.09 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.69/1.09 :=( X, X ), :=( Y, Z ), :=( Z, Z ), :=( T, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 20, [ =( multiply( X, multiply( Z, Y ) ), multiply( multiply( X, Z
% 0.69/1.09 ), Y ) ) ] )
% 0.69/1.09 , clause( 160, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.69/1.09 , Y ), Z ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 166, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.69/1.09 , clause( 20, [ =( multiply( X, multiply( Z, Y ) ), multiply( multiply( X,
% 0.69/1.09 Z ), Y ) ) ] )
% 0.69/1.09 , 0, clause( 14, [ =( multiply( inverse( Z ), multiply( X, Z ) ), X ) ] )
% 0.69/1.09 , 0, 1, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X ), :=( Z, Y )] )
% 0.69/1.09 , substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 23, [ =( multiply( multiply( inverse( Z ), X ), Z ), X ) ] )
% 0.69/1.09 , clause( 166, [ =( multiply( multiply( inverse( X ), Y ), X ), Y ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 169, [ =( X, inverse( multiply( inverse( multiply( X, Y ) ), Y ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 7, [ =( inverse( multiply( inverse( multiply( X, Y ) ), Y ) ), X
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 172, [ =( multiply( inverse( X ), Y ), inverse( multiply( inverse(
% 0.69/1.09 Y ), X ) ) ) ] )
% 0.69/1.09 , clause( 23, [ =( multiply( multiply( inverse( Z ), X ), Z ), X ) ] )
% 0.69/1.09 , 0, clause( 169, [ =( X, inverse( multiply( inverse( multiply( X, Y ) ), Y
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.69/1.09 substitution( 1, [ :=( X, multiply( inverse( X ), Y ) ), :=( Y, X )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 173, [ =( inverse( multiply( inverse( Y ), X ) ), multiply( inverse(
% 0.69/1.09 X ), Y ) ) ] )
% 0.69/1.09 , clause( 172, [ =( multiply( inverse( X ), Y ), inverse( multiply( inverse(
% 0.69/1.09 Y ), X ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 24, [ =( inverse( multiply( inverse( Y ), X ) ), multiply( inverse(
% 0.69/1.09 X ), Y ) ) ] )
% 0.69/1.09 , clause( 173, [ =( inverse( multiply( inverse( Y ), X ) ), multiply(
% 0.69/1.09 inverse( X ), Y ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 175, [ =( X, multiply( inverse( multiply( inverse( multiply( X, Y )
% 0.69/1.09 ), multiply( Z, Y ) ) ), Z ) ) ] )
% 0.69/1.09 , clause( 5, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) )
% 0.69/1.09 , multiply( Z, Y ) ) ), Z ), X ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 185, [ =( X, multiply( inverse( multiply( inverse( multiply( X, Y )
% 0.69/1.09 ), Z ) ), multiply( inverse( Y ), Z ) ) ) ] )
% 0.69/1.09 , clause( 23, [ =( multiply( multiply( inverse( Z ), X ), Z ), X ) ] )
% 0.69/1.09 , 0, clause( 175, [ =( X, multiply( inverse( multiply( inverse( multiply( X
% 0.69/1.09 , Y ) ), multiply( Z, Y ) ) ), Z ) ) ] )
% 0.69/1.09 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y )] ),
% 0.69/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( inverse( Y )
% 0.69/1.09 , Z ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 186, [ =( X, multiply( multiply( inverse( multiply( inverse(
% 0.69/1.09 multiply( X, Y ) ), Z ) ), inverse( Y ) ), Z ) ) ] )
% 0.69/1.09 , clause( 20, [ =( multiply( X, multiply( Z, Y ) ), multiply( multiply( X,
% 0.69/1.09 Z ), Y ) ) ] )
% 0.69/1.09 , 0, clause( 185, [ =( X, multiply( inverse( multiply( inverse( multiply( X
% 0.69/1.09 , Y ) ), Z ) ), multiply( inverse( Y ), Z ) ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, inverse( multiply( inverse( multiply( X,
% 0.69/1.09 Y ) ), Z ) ) ), :=( Y, Z ), :=( Z, inverse( Y ) )] ), substitution( 1, [
% 0.69/1.09 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 187, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.69/1.09 , clause( 2, [ =( multiply( multiply( inverse( multiply( inverse( multiply(
% 0.69/1.09 X, Y ) ), Z ) ), T ), Z ), multiply( X, multiply( T, Y ) ) ) ] )
% 0.69/1.09 , 0, clause( 186, [ =( X, multiply( multiply( inverse( multiply( inverse(
% 0.69/1.09 multiply( X, Y ) ), Z ) ), inverse( Y ) ), Z ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 0.69/1.09 inverse( Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 188, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.69/1.09 , clause( 20, [ =( multiply( X, multiply( Z, Y ) ), multiply( multiply( X,
% 0.69/1.09 Z ), Y ) ) ] )
% 0.69/1.09 , 0, clause( 187, [ =( X, multiply( X, multiply( inverse( Y ), Y ) ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( Y ) )] )
% 0.69/1.09 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 189, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 0.69/1.09 , clause( 188, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 26, [ =( multiply( multiply( Z, inverse( X ) ), X ), Z ) ] )
% 0.69/1.09 , clause( 189, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 190, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.69/1.09 , clause( 26, [ =( multiply( multiply( Z, inverse( X ) ), X ), Z ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 193, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 26, [ =( multiply( multiply( Z, inverse( X ) ), X ), Z ) ] )
% 0.69/1.09 , 0, clause( 190, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.69/1.09 , 0, 7, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, Z ), :=( Z, X )] )
% 0.69/1.09 , substitution( 1, [ :=( X, multiply( X, inverse( inverse( Y ) ) ) ),
% 0.69/1.09 :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 33, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 193, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 196, [ =( X, multiply( inverse( multiply( inverse( multiply( X, Y )
% 0.69/1.09 ), multiply( Z, Y ) ) ), Z ) ) ] )
% 0.69/1.09 , clause( 5, [ =( multiply( inverse( multiply( inverse( multiply( X, Y ) )
% 0.69/1.09 , multiply( Z, Y ) ) ), Z ), X ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 203, [ =( X, multiply( inverse( multiply( inverse( multiply( X, Y )
% 0.69/1.09 ), Z ) ), multiply( Z, inverse( Y ) ) ) ) ] )
% 0.69/1.09 , clause( 26, [ =( multiply( multiply( Z, inverse( X ) ), X ), Z ) ] )
% 0.69/1.09 , 0, clause( 196, [ =( X, multiply( inverse( multiply( inverse( multiply( X
% 0.69/1.09 , Y ) ), multiply( Z, Y ) ) ), Z ) ) ] )
% 0.69/1.09 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z )] ),
% 0.69/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, multiply( Z, inverse( Y
% 0.69/1.09 ) ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 204, [ =( X, multiply( multiply( inverse( multiply( inverse(
% 0.69/1.09 multiply( X, Y ) ), Z ) ), Z ), inverse( Y ) ) ) ] )
% 0.69/1.09 , clause( 20, [ =( multiply( X, multiply( Z, Y ) ), multiply( multiply( X,
% 0.69/1.09 Z ), Y ) ) ] )
% 0.69/1.09 , 0, clause( 203, [ =( X, multiply( inverse( multiply( inverse( multiply( X
% 0.69/1.09 , Y ) ), Z ) ), multiply( Z, inverse( Y ) ) ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, inverse( multiply( inverse( multiply( X,
% 0.69/1.09 Y ) ), Z ) ) ), :=( Y, inverse( Y ) ), :=( Z, Z )] ), substitution( 1, [
% 0.69/1.09 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 205, [ =( X, multiply( multiply( multiply( inverse( Z ), multiply(
% 0.69/1.09 X, Y ) ), Z ), inverse( Y ) ) ) ] )
% 0.69/1.09 , clause( 24, [ =( inverse( multiply( inverse( Y ), X ) ), multiply(
% 0.69/1.09 inverse( X ), Y ) ) ] )
% 0.69/1.09 , 0, clause( 204, [ =( X, multiply( multiply( inverse( multiply( inverse(
% 0.69/1.09 multiply( X, Y ) ), Z ) ), Z ), inverse( Y ) ) ) ] )
% 0.69/1.09 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, multiply( X, Y ) )] ),
% 0.69/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 206, [ =( X, multiply( multiply( X, Z ), inverse( Z ) ) ) ] )
% 0.69/1.09 , clause( 23, [ =( multiply( multiply( inverse( Z ), X ), Z ), X ) ] )
% 0.69/1.09 , 0, clause( 205, [ =( X, multiply( multiply( multiply( inverse( Z ),
% 0.69/1.09 multiply( X, Y ) ), Z ), inverse( Y ) ) ) ] )
% 0.69/1.09 , 0, 3, substitution( 0, [ :=( X, multiply( X, Z ) ), :=( Y, T ), :=( Z, Y
% 0.69/1.09 )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 207, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.69/1.09 , clause( 206, [ =( X, multiply( multiply( X, Z ), inverse( Z ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 37, [ =( multiply( multiply( Z, Y ), inverse( Y ) ), Z ) ] )
% 0.69/1.09 , clause( 207, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 208, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.69/1.09 , clause( 37, [ =( multiply( multiply( Z, Y ), inverse( Y ) ), Z ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 210, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.09 , clause( 23, [ =( multiply( multiply( inverse( Z ), X ), Z ), X ) ] )
% 0.69/1.09 , 0, clause( 208, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.69/1.09 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( X ) )] )
% 0.69/1.09 , substitution( 1, [ :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 43, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.09 , clause( 210, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 215, [ =( Y, multiply( multiply( inverse( X ), Y ), X ) ) ] )
% 0.69/1.09 , clause( 23, [ =( multiply( multiply( inverse( Z ), X ), Z ), X ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 216, [ =( X, multiply( multiply( Y, X ), inverse( Y ) ) ) ] )
% 0.69/1.09 , clause( 43, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.09 , 0, clause( 215, [ =( Y, multiply( multiply( inverse( X ), Y ), X ) ) ] )
% 0.69/1.09 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 0.69/1.09 Y ) ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 217, [ =( multiply( multiply( Y, X ), inverse( Y ) ), X ) ] )
% 0.69/1.09 , clause( 216, [ =( X, multiply( multiply( Y, X ), inverse( Y ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 48, [ =( multiply( multiply( X, Y ), inverse( X ) ), Y ) ] )
% 0.69/1.09 , clause( 217, [ =( multiply( multiply( Y, X ), inverse( Y ) ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 219, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.69/1.09 , clause( 37, [ =( multiply( multiply( Z, Y ), inverse( Y ) ), Z ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 224, [ =( multiply( X, Y ), multiply( Y, inverse( inverse( X ) ) )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 48, [ =( multiply( multiply( X, Y ), inverse( X ) ), Y ) ] )
% 0.69/1.09 , 0, clause( 219, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.69/1.09 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.09 :=( X, multiply( X, Y ) ), :=( Y, inverse( X ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 225, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.69/1.09 , clause( 33, [ =( multiply( X, inverse( inverse( Y ) ) ), multiply( X, Y )
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, clause( 224, [ =( multiply( X, Y ), multiply( Y, inverse( inverse( X )
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 51, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.69/1.09 , clause( 225, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 226, [ =( Y, multiply( multiply( X, Y ), inverse( X ) ) ) ] )
% 0.69/1.09 , clause( 48, [ =( multiply( multiply( X, Y ), inverse( X ) ), Y ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 228, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 0.69/1.09 , clause( 51, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.69/1.09 , 0, clause( 226, [ =( Y, multiply( multiply( X, Y ), inverse( X ) ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, multiply( Y, X ) )] )
% 0.69/1.09 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 234, [ =( X, multiply( multiply( inverse( Y ), Y ), X ) ) ] )
% 0.69/1.09 , clause( 20, [ =( multiply( X, multiply( Z, Y ) ), multiply( multiply( X,
% 0.69/1.09 Z ), Y ) ) ] )
% 0.69/1.09 , 0, clause( 228, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X ), :=( Z, Y )] )
% 0.69/1.09 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 235, [ =( multiply( multiply( inverse( Y ), Y ), X ), X ) ] )
% 0.69/1.09 , clause( 234, [ =( X, multiply( multiply( inverse( Y ), Y ), X ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 55, [ =( multiply( multiply( inverse( X ), X ), Y ), Y ) ] )
% 0.69/1.09 , clause( 235, [ =( multiply( multiply( inverse( Y ), Y ), X ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 236, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.69/1.09 , b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 0.69/1.09 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 0.69/1.09 c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 0.69/1.09 , clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.69/1.09 , a1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 0.69/1.09 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 0.69/1.09 c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 262, [ ~( =( multiply( a4, b4 ), multiply( a4, b4 ) ) ), ~( =(
% 0.69/1.09 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~( =(
% 0.69/1.09 multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =( multiply( a3
% 0.69/1.09 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.69/1.09 , clause( 51, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.69/1.09 , 0, clause( 236, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.69/1.09 b1 ), b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 0.69/1.09 ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3
% 0.69/1.09 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 0.69/1.09 , 3, 5, substitution( 0, [ :=( X, a4 ), :=( Y, b4 )] ), substitution( 1, [] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqrefl(
% 0.69/1.09 clause( 339, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.69/1.09 , b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 0.69/1.09 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 0.69/1.09 c3 ) ) ) ] )
% 0.69/1.09 , clause( 262, [ ~( =( multiply( a4, b4 ), multiply( a4, b4 ) ) ), ~( =(
% 0.69/1.09 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~( =(
% 0.69/1.09 multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =( multiply( a3
% 0.69/1.09 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 340, [ ~( =( a2, a2 ) ), ~( =( multiply( inverse( a1 ), a1 ),
% 0.69/1.09 multiply( inverse( b1 ), b1 ) ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 0.69/1.09 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.69/1.09 , clause( 55, [ =( multiply( multiply( inverse( X ), X ), Y ), Y ) ] )
% 0.69/1.09 , 0, clause( 339, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.69/1.09 b1 ), b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 0.69/1.09 ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3
% 0.69/1.09 ), c3 ) ) ) ] )
% 0.69/1.09 , 1, 2, substitution( 0, [ :=( X, b2 ), :=( Y, a2 )] ), substitution( 1, [] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 341, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( multiply(
% 0.69/1.09 a3, b3 ), c3 ) ) ), ~( =( a2, a2 ) ), ~( =( multiply( inverse( a1 ), a1 )
% 0.69/1.09 , multiply( inverse( b1 ), b1 ) ) ) ] )
% 0.69/1.09 , clause( 20, [ =( multiply( X, multiply( Z, Y ) ), multiply( multiply( X,
% 0.69/1.09 Z ), Y ) ) ] )
% 0.69/1.09 , 0, clause( 340, [ ~( =( a2, a2 ) ), ~( =( multiply( inverse( a1 ), a1 ),
% 0.69/1.09 multiply( inverse( b1 ), b1 ) ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 0.69/1.09 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 0.69/1.09 , 2, 2, substitution( 0, [ :=( X, a3 ), :=( Y, c3 ), :=( Z, b3 )] ),
% 0.69/1.09 substitution( 1, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqrefl(
% 0.69/1.09 clause( 342, [ ~( =( a2, a2 ) ), ~( =( multiply( inverse( a1 ), a1 ),
% 0.69/1.09 multiply( inverse( b1 ), b1 ) ) ) ] )
% 0.69/1.09 , clause( 341, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 0.69/1.09 multiply( a3, b3 ), c3 ) ) ), ~( =( a2, a2 ) ), ~( =( multiply( inverse(
% 0.69/1.09 a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqrefl(
% 0.69/1.09 clause( 344, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.69/1.09 , b1 ) ) ) ] )
% 0.69/1.09 , clause( 342, [ ~( =( a2, a2 ) ), ~( =( multiply( inverse( a1 ), a1 ),
% 0.69/1.09 multiply( inverse( b1 ), b1 ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 345, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.69/1.09 , a1 ) ) ) ] )
% 0.69/1.09 , clause( 344, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.69/1.09 ), b1 ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 57, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.69/1.09 , a1 ) ) ) ] )
% 0.69/1.09 , clause( 345, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.69/1.09 ), a1 ) ) ) ] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 347, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.69/1.09 , clause( 26, [ =( multiply( multiply( Z, inverse( X ) ), X ), Z ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 351, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 55, [ =( multiply( multiply( inverse( X ), X ), Y ), Y ) ] )
% 0.69/1.09 , 0, clause( 347, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 0.69/1.09 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, inverse( Y ) )] ),
% 0.69/1.09 substitution( 1, [ :=( X, multiply( inverse( X ), X ) ), :=( Y, Y )] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 63, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X ) )
% 0.69/1.09 ] )
% 0.69/1.09 , clause( 351, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 353, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.69/1.09 , b1 ) ) ) ] )
% 0.69/1.09 , clause( 57, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.69/1.09 ), a1 ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 355, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.69/1.09 , X ) ) ) ] )
% 0.69/1.09 , clause( 63, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, clause( 353, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.69/1.09 b1 ), b1 ) ) ) ] )
% 0.69/1.09 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, b1 )] ), substitution( 1, [] )
% 0.69/1.09 ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 paramod(
% 0.69/1.09 clause( 356, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X
% 0.69/1.09 ) ) ) ] )
% 0.69/1.09 , clause( 63, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , 0, clause( 355, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.69/1.09 X ), X ) ) ) ] )
% 0.69/1.09 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, a1 )] ), substitution( 1, [
% 0.69/1.09 :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 71, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.69/1.09 a1 ) ) ) ] )
% 0.69/1.09 , clause( 356, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X )
% 0.69/1.09 , X ) ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, a1 ), :=( Y, X )] ), permutation( 0, [ ==>( 0,
% 0.69/1.09 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqswap(
% 0.69/1.09 clause( 357, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.69/1.09 , X ) ) ) ] )
% 0.69/1.09 , clause( 71, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 )
% 0.69/1.09 , a1 ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 eqrefl(
% 0.69/1.09 clause( 358, [] )
% 0.69/1.09 , clause( 357, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X
% 0.69/1.09 ), X ) ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, a1 )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 73, [] )
% 0.69/1.09 , clause( 358, [] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 end.
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 Memory use:
% 0.69/1.09
% 0.69/1.09 space for terms: 958
% 0.69/1.09 space for clauses: 8108
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 clauses generated: 572
% 0.69/1.09 clauses kept: 74
% 0.69/1.09 clauses selected: 19
% 0.69/1.09 clauses deleted: 5
% 0.69/1.09 clauses inuse deleted: 0
% 0.69/1.09
% 0.69/1.09 subsentry: 6500
% 0.69/1.09 literals s-matched: 451
% 0.69/1.09 literals matched: 427
% 0.69/1.09 full subsumption: 0
% 0.69/1.09
% 0.69/1.09 checksum: -1917035431
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksem ended
%------------------------------------------------------------------------------