TSTP Solution File: GRP086-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP086-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 07:34:47 EDT 2022
% Result : Unsatisfiable 3.93s 4.30s
% Output : Refutation 3.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP086-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n014.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 : Tue Jun 14 06:24:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.93/4.30 *** allocated 10000 integers for termspace/termends
% 3.93/4.30 *** allocated 10000 integers for clauses
% 3.93/4.30 *** allocated 10000 integers for justifications
% 3.93/4.30 Bliksem 1.12
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 Automatic Strategy Selection
% 3.93/4.30
% 3.93/4.30 Clauses:
% 3.93/4.30 [
% 3.93/4.30 [ =( multiply( X, multiply( multiply( Y, Z ), inverse( multiply( X, Z )
% 3.93/4.30 ) ) ), Y ) ],
% 3.93/4.30 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 3.93/4.30 , ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =(
% 3.93/4.30 multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, c3 ) ) )
% 3.93/4.30 ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ]
% 3.93/4.30 ] .
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 percentage equality = 1.000000, percentage horn = 1.000000
% 3.93/4.30 This is a pure equality problem
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 Options Used:
% 3.93/4.30
% 3.93/4.30 useres = 1
% 3.93/4.30 useparamod = 1
% 3.93/4.30 useeqrefl = 1
% 3.93/4.30 useeqfact = 1
% 3.93/4.30 usefactor = 1
% 3.93/4.30 usesimpsplitting = 0
% 3.93/4.30 usesimpdemod = 5
% 3.93/4.30 usesimpres = 3
% 3.93/4.30
% 3.93/4.30 resimpinuse = 1000
% 3.93/4.30 resimpclauses = 20000
% 3.93/4.30 substype = eqrewr
% 3.93/4.30 backwardsubs = 1
% 3.93/4.30 selectoldest = 5
% 3.93/4.30
% 3.93/4.30 litorderings [0] = split
% 3.93/4.30 litorderings [1] = extend the termordering, first sorting on arguments
% 3.93/4.30
% 3.93/4.30 termordering = kbo
% 3.93/4.30
% 3.93/4.30 litapriori = 0
% 3.93/4.30 termapriori = 1
% 3.93/4.30 litaposteriori = 0
% 3.93/4.30 termaposteriori = 0
% 3.93/4.30 demodaposteriori = 0
% 3.93/4.30 ordereqreflfact = 0
% 3.93/4.30
% 3.93/4.30 litselect = negord
% 3.93/4.30
% 3.93/4.30 maxweight = 15
% 3.93/4.30 maxdepth = 30000
% 3.93/4.30 maxlength = 115
% 3.93/4.30 maxnrvars = 195
% 3.93/4.30 excuselevel = 1
% 3.93/4.30 increasemaxweight = 1
% 3.93/4.30
% 3.93/4.30 maxselected = 10000000
% 3.93/4.30 maxnrclauses = 10000000
% 3.93/4.30
% 3.93/4.30 showgenerated = 0
% 3.93/4.30 showkept = 0
% 3.93/4.30 showselected = 0
% 3.93/4.30 showdeleted = 0
% 3.93/4.30 showresimp = 1
% 3.93/4.30 showstatus = 2000
% 3.93/4.30
% 3.93/4.30 prologoutput = 1
% 3.93/4.30 nrgoals = 5000000
% 3.93/4.30 totalproof = 1
% 3.93/4.30
% 3.93/4.30 Symbols occurring in the translation:
% 3.93/4.30
% 3.93/4.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.93/4.30 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 3.93/4.30 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 3.93/4.30 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.93/4.30 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.93/4.30 multiply [42, 2] (w:1, o:52, a:1, s:1, b:0),
% 3.93/4.30 inverse [43, 1] (w:1, o:26, a:1, s:1, b:0),
% 3.93/4.30 a1 [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 3.93/4.30 b1 [45, 0] (w:1, o:16, a:1, s:1, b:0),
% 3.93/4.30 b2 [46, 0] (w:1, o:17, a:1, s:1, b:0),
% 3.93/4.30 a2 [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 3.93/4.30 a3 [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 3.93/4.30 b3 [49, 0] (w:1, o:18, a:1, s:1, b:0),
% 3.93/4.30 c3 [50, 0] (w:1, o:20, a:1, s:1, b:0),
% 3.93/4.30 a4 [51, 0] (w:1, o:15, a:1, s:1, b:0),
% 3.93/4.30 b4 [52, 0] (w:1, o:19, a:1, s:1, b:0).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 Starting Search:
% 3.93/4.30
% 3.93/4.30 Resimplifying inuse:
% 3.93/4.30 Done
% 3.93/4.30
% 3.93/4.30 Failed to find proof!
% 3.93/4.30 maxweight = 15
% 3.93/4.30 maxnrclauses = 10000000
% 3.93/4.30 Generated: 22326
% 3.93/4.30 Kept: 130
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 The strategy used was not complete!
% 3.93/4.30
% 3.93/4.30 Increased maxweight to 16
% 3.93/4.30
% 3.93/4.30 Starting Search:
% 3.93/4.30
% 3.93/4.30 Resimplifying inuse:
% 3.93/4.30 Done
% 3.93/4.30
% 3.93/4.30 Failed to find proof!
% 3.93/4.30 maxweight = 16
% 3.93/4.30 maxnrclauses = 10000000
% 3.93/4.30 Generated: 71429
% 3.93/4.30 Kept: 198
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 The strategy used was not complete!
% 3.93/4.30
% 3.93/4.30 Increased maxweight to 17
% 3.93/4.30
% 3.93/4.30 Starting Search:
% 3.93/4.30
% 3.93/4.30 Resimplifying inuse:
% 3.93/4.30 Done
% 3.93/4.30
% 3.93/4.30 Failed to find proof!
% 3.93/4.30 maxweight = 17
% 3.93/4.30 maxnrclauses = 10000000
% 3.93/4.30 Generated: 102696
% 3.93/4.30 Kept: 246
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 The strategy used was not complete!
% 3.93/4.30
% 3.93/4.30 Increased maxweight to 18
% 3.93/4.30
% 3.93/4.30 Starting Search:
% 3.93/4.30
% 3.93/4.30 Resimplifying inuse:
% 3.93/4.30 Done
% 3.93/4.30
% 3.93/4.30 Failed to find proof!
% 3.93/4.30 maxweight = 18
% 3.93/4.30 maxnrclauses = 10000000
% 3.93/4.30 Generated: 106040
% 3.93/4.30 Kept: 257
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 The strategy used was not complete!
% 3.93/4.30
% 3.93/4.30 Increased maxweight to 19
% 3.93/4.30
% 3.93/4.30 Starting Search:
% 3.93/4.30
% 3.93/4.30 Resimplifying inuse:
% 3.93/4.30 Done
% 3.93/4.30
% 3.93/4.30 Failed to find proof!
% 3.93/4.30 maxweight = 19
% 3.93/4.30 maxnrclauses = 10000000
% 3.93/4.30 Generated: 342136
% 3.93/4.30 Kept: 325
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 The strategy used was not complete!
% 3.93/4.30
% 3.93/4.30 Increased maxweight to 20
% 3.93/4.30
% 3.93/4.30 Starting Search:
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 Bliksems!, er is een bewijs:
% 3.93/4.30 % SZS status Unsatisfiable
% 3.93/4.30 % SZS output start Refutation
% 3.93/4.30
% 3.93/4.30 clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse( multiply(
% 3.93/4.30 X, Z ) ) ) ), Y ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 3.93/4.30 a1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 3.93/4.30 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 3.93/4.30 c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y,
% 3.93/4.30 Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 4, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 6, [ =( multiply( Z, multiply( multiply( T, multiply( X, inverse( Z
% 3.93/4.30 ) ) ), inverse( X ) ) ), T ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 7, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) ) ),
% 3.93/4.30 multiply( X, Y ) ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 14, [ =( multiply( multiply( X, Z ), multiply( Y, inverse( multiply(
% 3.93/4.30 Y, Z ) ) ) ), X ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 17, [ =( multiply( multiply( Z, Y ), multiply( X, inverse( Z ) ) )
% 3.93/4.30 , multiply( X, Y ) ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 25, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply( X, Y
% 3.93/4.30 ), Z ) ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 37, [ =( multiply( Z, multiply( multiply( X, inverse( X ) ), Y ) )
% 3.93/4.30 , multiply( Z, Y ) ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 38, [ =( multiply( Z, multiply( multiply( X, inverse( Z ) ), Y ) )
% 3.93/4.30 , multiply( X, Y ) ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 46, [ =( multiply( Z, multiply( Y, inverse( multiply( Y, inverse( X
% 3.93/4.30 ) ) ) ) ), multiply( Z, X ) ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 47, [ =( multiply( X, inverse( multiply( Y, inverse( Y ) ) ) ), X )
% 3.93/4.30 ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 48, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y ) ) )
% 3.93/4.30 ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 52, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 53, [ =( multiply( multiply( Z, inverse( X ) ), X ), Z ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 57, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 63, [ =( multiply( multiply( inverse( X ), X ), Y ), Y ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 65, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( X, Z
% 3.93/4.30 ), Y ) ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 66, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X, Z
% 3.93/4.30 ), Y ) ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 72, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 3.93/4.30 , a1 ) ) ), ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( multiply(
% 3.93/4.30 b3, a3 ), c3 ) ) ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 106, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X )
% 3.93/4.30 ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 147, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( X, Z
% 3.93/4.30 ), Y ) ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 167, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( Z, Y
% 3.93/4.30 ), X ) ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 381, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 3.93/4.30 , a1 ) ) ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 386, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 3.93/4.30 a1 ) ) ) ] )
% 3.93/4.30 .
% 3.93/4.30 clause( 387, [] )
% 3.93/4.30 .
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 % SZS output end Refutation
% 3.93/4.30 found a proof!
% 3.93/4.30
% 3.93/4.30 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.93/4.30
% 3.93/4.30 initialclauses(
% 3.93/4.30 [ clause( 389, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 3.93/4.30 multiply( X, Z ) ) ) ), Y ) ] )
% 3.93/4.30 , clause( 390, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 3.93/4.30 ), b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 3.93/4.30 , ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 3.93/4.30 c3 ) ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 3.93/4.30 ] ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse( multiply(
% 3.93/4.30 X, Z ) ) ) ), Y ) ] )
% 3.93/4.30 , clause( 389, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 3.93/4.30 multiply( X, Z ) ) ) ), Y ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.93/4.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 396, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 3.93/4.30 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~( =(
% 3.93/4.30 multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =( multiply(
% 3.93/4.30 multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 3.93/4.30 , clause( 390, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 3.93/4.30 ), b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 3.93/4.30 , ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 3.93/4.30 c3 ) ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 3.93/4.30 , 3, substitution( 0, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 399, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 3.93/4.30 a3, b3 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~(
% 3.93/4.30 =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~(
% 3.93/4.30 =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ] )
% 3.93/4.30 , clause( 396, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 3.93/4.30 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~( =(
% 3.93/4.30 multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =( multiply(
% 3.93/4.30 multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 3.93/4.30 , 3, substitution( 0, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 401, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 3.93/4.30 , ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 )
% 3.93/4.30 , c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 3.93/4.30 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ) ] )
% 3.93/4.30 , clause( 399, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 3.93/4.30 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4
% 3.93/4.30 ) ) ), ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1
% 3.93/4.30 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ] )
% 3.93/4.30 , 3, substitution( 0, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 403, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 3.93/4.30 , a1 ) ) ), ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ),
% 3.93/4.30 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 3.93/4.30 c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 3.93/4.30 , clause( 401, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) )
% 3.93/4.30 ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3
% 3.93/4.30 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 3.93/4.30 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ) ] )
% 3.93/4.30 , 3, substitution( 0, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 405, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 3.93/4.30 multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =(
% 3.93/4.30 a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ), ~( =( multiply( a3
% 3.93/4.30 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 3.93/4.30 , clause( 403, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 3.93/4.30 ), a1 ) ) ), ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 3.93/4.30 , ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 )
% 3.93/4.30 , c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 3.93/4.30 , 3, substitution( 0, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 406, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 3.93/4.30 , ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =( multiply(
% 3.93/4.30 inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply(
% 3.93/4.30 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 3.93/4.30 , clause( 405, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 3.93/4.30 multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =(
% 3.93/4.30 a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ), ~( =( multiply( a3
% 3.93/4.30 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 3.93/4.30 , 2, substitution( 0, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 3.93/4.30 a1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 3.93/4.30 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 3.93/4.30 c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 3.93/4.30 , clause( 406, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 3.93/4.30 ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =( multiply(
% 3.93/4.30 inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply(
% 3.93/4.30 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 3.93/4.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 3 ), ==>( 2
% 3.93/4.30 , 0 ), ==>( 3, 2 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 408, [ =( Y, multiply( X, multiply( multiply( Y, Z ), inverse(
% 3.93/4.30 multiply( X, Z ) ) ) ) ) ] )
% 3.93/4.30 , clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 3.93/4.30 multiply( X, Z ) ) ) ), Y ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 412, [ =( X, multiply( Y, multiply( multiply( X, multiply( multiply(
% 3.93/4.30 Z, T ), inverse( multiply( Y, T ) ) ) ), inverse( Z ) ) ) ) ] )
% 3.93/4.30 , clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 3.93/4.30 multiply( X, Z ) ) ) ), Y ) ] )
% 3.93/4.30 , 0, clause( 408, [ =( Y, multiply( X, multiply( multiply( Y, Z ), inverse(
% 3.93/4.30 multiply( X, Z ) ) ) ) ) ] )
% 3.93/4.30 , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 3.93/4.30 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, multiply( multiply( Z,
% 3.93/4.30 T ), inverse( multiply( Y, T ) ) ) )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 414, [ =( multiply( Y, multiply( multiply( X, multiply( multiply( Z
% 3.93/4.30 , T ), inverse( multiply( Y, T ) ) ) ), inverse( Z ) ) ), X ) ] )
% 3.93/4.30 , clause( 412, [ =( X, multiply( Y, multiply( multiply( X, multiply(
% 3.93/4.30 multiply( Z, T ), inverse( multiply( Y, T ) ) ) ), inverse( Z ) ) ) ) ]
% 3.93/4.30 )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 3.93/4.30 ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y,
% 3.93/4.30 Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 3.93/4.30 , clause( 414, [ =( multiply( Y, multiply( multiply( X, multiply( multiply(
% 3.93/4.30 Z, T ), inverse( multiply( Y, T ) ) ) ), inverse( Z ) ) ), X ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 3.93/4.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 416, [ =( Y, multiply( X, multiply( multiply( Y, multiply( multiply(
% 3.93/4.30 Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ] )
% 3.93/4.30 , clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y
% 3.93/4.30 , Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 3.93/4.30 ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 421, [ =( X, multiply( X, multiply( Y, inverse( Y ) ) ) ) ] )
% 3.93/4.30 , clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 3.93/4.30 multiply( X, Z ) ) ) ), Y ) ] )
% 3.93/4.30 , 0, clause( 416, [ =( Y, multiply( X, multiply( multiply( Y, multiply(
% 3.93/4.30 multiply( Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ]
% 3.93/4.30 )
% 3.93/4.30 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.93/4.30 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 424, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 3.93/4.30 , clause( 421, [ =( X, multiply( X, multiply( Y, inverse( Y ) ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 4, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 3.93/4.30 , clause( 424, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.93/4.30 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 428, [ =( Y, multiply( X, multiply( multiply( Y, multiply( multiply(
% 3.93/4.30 Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ] )
% 3.93/4.30 , clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y
% 3.93/4.30 , Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 3.93/4.30 ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 429, [ =( X, multiply( Y, multiply( X, inverse( Y ) ) ) ) ] )
% 3.93/4.30 , clause( 4, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 3.93/4.30 , 0, clause( 428, [ =( Y, multiply( X, multiply( multiply( Y, multiply(
% 3.93/4.30 multiply( Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ]
% 3.93/4.30 )
% 3.93/4.30 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, Z ) )] ),
% 3.93/4.30 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 433, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 3.93/4.30 , clause( 429, [ =( X, multiply( Y, multiply( X, inverse( Y ) ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 3.93/4.30 , clause( 433, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.93/4.30 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 438, [ =( Y, multiply( X, multiply( multiply( Y, multiply( multiply(
% 3.93/4.30 Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ] )
% 3.93/4.30 , clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y
% 3.93/4.30 , Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 3.93/4.30 ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 442, [ =( X, multiply( Y, multiply( multiply( X, multiply( multiply(
% 3.93/4.30 Z, multiply( T, inverse( T ) ) ), inverse( Y ) ) ), inverse( Z ) ) ) ) ]
% 3.93/4.30 )
% 3.93/4.30 , clause( 4, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 3.93/4.30 , 0, clause( 438, [ =( Y, multiply( X, multiply( multiply( Y, multiply(
% 3.93/4.30 multiply( Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ]
% 3.93/4.30 )
% 3.93/4.30 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, T )] ), substitution( 1, [
% 3.93/4.30 :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, multiply( T, inverse( T ) ) )] )
% 3.93/4.30 ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 444, [ =( X, multiply( Y, multiply( multiply( X, multiply( Z,
% 3.93/4.30 inverse( Y ) ) ), inverse( Z ) ) ) ) ] )
% 3.93/4.30 , clause( 4, [ =( multiply( X, multiply( Y, inverse( Y ) ) ), X ) ] )
% 3.93/4.30 , 0, clause( 442, [ =( X, multiply( Y, multiply( multiply( X, multiply(
% 3.93/4.30 multiply( Z, multiply( T, inverse( T ) ) ), inverse( Y ) ) ), inverse( Z
% 3.93/4.30 ) ) ) ) ] )
% 3.93/4.30 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, T )] ), substitution( 1, [
% 3.93/4.30 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 445, [ =( multiply( Y, multiply( multiply( X, multiply( Z, inverse(
% 3.93/4.30 Y ) ) ), inverse( Z ) ) ), X ) ] )
% 3.93/4.30 , clause( 444, [ =( X, multiply( Y, multiply( multiply( X, multiply( Z,
% 3.93/4.30 inverse( Y ) ) ), inverse( Z ) ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 6, [ =( multiply( Z, multiply( multiply( T, multiply( X, inverse( Z
% 3.93/4.30 ) ) ), inverse( X ) ) ), T ) ] )
% 3.93/4.30 , clause( 445, [ =( multiply( Y, multiply( multiply( X, multiply( Z,
% 3.93/4.30 inverse( Y ) ) ), inverse( Z ) ) ), X ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X )] ),
% 3.93/4.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 447, [ =( Y, multiply( X, multiply( multiply( Y, multiply( multiply(
% 3.93/4.30 Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ] )
% 3.93/4.30 , clause( 3, [ =( multiply( X, multiply( multiply( T, multiply( multiply( Y
% 3.93/4.30 , Z ), inverse( multiply( X, Z ) ) ) ), inverse( Y ) ) ), T ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 3.93/4.30 ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 451, [ =( multiply( X, Y ), multiply( X, multiply( multiply( Z, Y )
% 3.93/4.30 , inverse( Z ) ) ) ) ] )
% 3.93/4.30 , clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 3.93/4.30 , 0, clause( 447, [ =( Y, multiply( X, multiply( multiply( Y, multiply(
% 3.93/4.30 multiply( Z, T ), inverse( multiply( X, T ) ) ) ), inverse( Z ) ) ) ) ]
% 3.93/4.30 )
% 3.93/4.30 , 0, 7, substitution( 0, [ :=( X, multiply( Z, Y ) ), :=( Y, multiply( X, Y
% 3.93/4.30 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, multiply( X, Y ) ), :=( Z
% 3.93/4.30 , Z ), :=( T, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 455, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) ) )
% 3.93/4.30 , multiply( X, Y ) ) ] )
% 3.93/4.30 , clause( 451, [ =( multiply( X, Y ), multiply( X, multiply( multiply( Z, Y
% 3.93/4.30 ), inverse( Z ) ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 7, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) ) ),
% 3.93/4.30 multiply( X, Y ) ) ] )
% 3.93/4.30 , clause( 455, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) )
% 3.93/4.30 ), multiply( X, Y ) ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.93/4.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 459, [ =( Y, multiply( X, multiply( multiply( Y, multiply( Z,
% 3.93/4.30 inverse( X ) ) ), inverse( Z ) ) ) ) ] )
% 3.93/4.30 , clause( 6, [ =( multiply( Z, multiply( multiply( T, multiply( X, inverse(
% 3.93/4.30 Z ) ) ), inverse( X ) ) ), T ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )
% 3.93/4.30 ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 464, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 3.93/4.30 multiply( Z, Y ) ) ) ) ) ] )
% 3.93/4.30 , clause( 0, [ =( multiply( X, multiply( multiply( Y, Z ), inverse(
% 3.93/4.30 multiply( X, Z ) ) ) ), Y ) ] )
% 3.93/4.30 , 0, clause( 459, [ =( Y, multiply( X, multiply( multiply( Y, multiply( Z,
% 3.93/4.30 inverse( X ) ) ), inverse( Z ) ) ) ) ] )
% 3.93/4.30 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 3.93/4.30 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, X ), :=( Z, multiply(
% 3.93/4.30 Z, Y ) )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 465, [ =( multiply( multiply( X, Y ), multiply( Z, inverse(
% 3.93/4.30 multiply( Z, Y ) ) ) ), X ) ] )
% 3.93/4.30 , clause( 464, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 3.93/4.30 multiply( Z, Y ) ) ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 14, [ =( multiply( multiply( X, Z ), multiply( Y, inverse( multiply(
% 3.93/4.30 Y, Z ) ) ) ), X ) ] )
% 3.93/4.30 , clause( 465, [ =( multiply( multiply( X, Y ), multiply( Z, inverse(
% 3.93/4.30 multiply( Z, Y ) ) ) ), X ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 3.93/4.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 467, [ =( Y, multiply( X, multiply( multiply( Y, multiply( Z,
% 3.93/4.30 inverse( X ) ) ), inverse( Z ) ) ) ) ] )
% 3.93/4.30 , clause( 6, [ =( multiply( Z, multiply( multiply( T, multiply( X, inverse(
% 3.93/4.30 Z ) ) ), inverse( X ) ) ), T ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )
% 3.93/4.30 ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 472, [ =( multiply( X, Y ), multiply( multiply( Z, Y ), multiply( X
% 3.93/4.30 , inverse( Z ) ) ) ) ] )
% 3.93/4.30 , clause( 14, [ =( multiply( multiply( X, Z ), multiply( Y, inverse(
% 3.93/4.30 multiply( Y, Z ) ) ) ), X ) ] )
% 3.93/4.30 , 0, clause( 467, [ =( Y, multiply( X, multiply( multiply( Y, multiply( Z,
% 3.93/4.30 inverse( X ) ) ), inverse( Z ) ) ) ) ] )
% 3.93/4.30 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 3.93/4.30 substitution( 1, [ :=( X, multiply( Z, Y ) ), :=( Y, multiply( X, Y ) ),
% 3.93/4.30 :=( Z, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 473, [ =( multiply( multiply( Z, Y ), multiply( X, inverse( Z ) ) )
% 3.93/4.30 , multiply( X, Y ) ) ] )
% 3.93/4.30 , clause( 472, [ =( multiply( X, Y ), multiply( multiply( Z, Y ), multiply(
% 3.93/4.30 X, inverse( Z ) ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 17, [ =( multiply( multiply( Z, Y ), multiply( X, inverse( Z ) ) )
% 3.93/4.30 , multiply( X, Y ) ) ] )
% 3.93/4.30 , clause( 473, [ =( multiply( multiply( Z, Y ), multiply( X, inverse( Z ) )
% 3.93/4.30 ), multiply( X, Y ) ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.93/4.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 474, [ =( multiply( Z, Y ), multiply( multiply( X, Y ), multiply( Z
% 3.93/4.30 , inverse( X ) ) ) ) ] )
% 3.93/4.30 , clause( 17, [ =( multiply( multiply( Z, Y ), multiply( X, inverse( Z ) )
% 3.93/4.30 ), multiply( X, Y ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 477, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( X, Z
% 3.93/4.30 ), Y ) ) ] )
% 3.93/4.30 , clause( 7, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) ) )
% 3.93/4.30 , multiply( X, Y ) ) ] )
% 3.93/4.30 , 0, clause( 474, [ =( multiply( Z, Y ), multiply( multiply( X, Y ),
% 3.93/4.30 multiply( Z, inverse( X ) ) ) ) ] )
% 3.93/4.30 , 0, 6, substitution( 0, [ :=( X, multiply( X, Z ) ), :=( Y, Y ), :=( Z, X
% 3.93/4.30 )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, multiply( X, Y )
% 3.93/4.30 )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 25, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply( X, Y
% 3.93/4.30 ), Z ) ) ] )
% 3.93/4.30 , clause( 477, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( X
% 3.93/4.30 , Z ), Y ) ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 3.93/4.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 483, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y, Z )
% 3.93/4.30 , inverse( Y ) ) ) ) ] )
% 3.93/4.30 , clause( 7, [ =( multiply( X, multiply( multiply( Z, Y ), inverse( Z ) ) )
% 3.93/4.30 , multiply( X, Y ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 486, [ =( multiply( X, Y ), multiply( X, multiply( multiply( Z,
% 3.93/4.30 inverse( Z ) ), Y ) ) ) ] )
% 3.93/4.30 , clause( 25, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply( X,
% 3.93/4.30 Y ), Z ) ) ] )
% 3.93/4.30 , 0, clause( 483, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y
% 3.93/4.30 , Z ), inverse( Y ) ) ) ) ] )
% 3.93/4.30 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, inverse( Z ) ), :=( Z, Y )] )
% 3.93/4.30 , substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 504, [ =( multiply( X, multiply( multiply( Z, inverse( Z ) ), Y ) )
% 3.93/4.30 , multiply( X, Y ) ) ] )
% 3.93/4.30 , clause( 486, [ =( multiply( X, Y ), multiply( X, multiply( multiply( Z,
% 3.93/4.30 inverse( Z ) ), Y ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 37, [ =( multiply( Z, multiply( multiply( X, inverse( X ) ), Y ) )
% 3.93/4.30 , multiply( Z, Y ) ) ] )
% 3.93/4.30 , clause( 504, [ =( multiply( X, multiply( multiply( Z, inverse( Z ) ), Y )
% 3.93/4.30 ), multiply( X, Y ) ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 3.93/4.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 509, [ =( Y, multiply( X, multiply( Y, inverse( X ) ) ) ) ] )
% 3.93/4.30 , clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 511, [ =( multiply( X, Y ), multiply( Z, multiply( multiply( X,
% 3.93/4.30 inverse( Z ) ), Y ) ) ) ] )
% 3.93/4.30 , clause( 25, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply( X,
% 3.93/4.30 Y ), Z ) ) ] )
% 3.93/4.30 , 0, clause( 509, [ =( Y, multiply( X, multiply( Y, inverse( X ) ) ) ) ] )
% 3.93/4.30 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, Y )] )
% 3.93/4.30 , substitution( 1, [ :=( X, Z ), :=( Y, multiply( X, Y ) )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 517, [ =( multiply( Z, multiply( multiply( X, inverse( Z ) ), Y ) )
% 3.93/4.30 , multiply( X, Y ) ) ] )
% 3.93/4.30 , clause( 511, [ =( multiply( X, Y ), multiply( Z, multiply( multiply( X,
% 3.93/4.30 inverse( Z ) ), Y ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 38, [ =( multiply( Z, multiply( multiply( X, inverse( Z ) ), Y ) )
% 3.93/4.30 , multiply( X, Y ) ) ] )
% 3.93/4.30 , clause( 517, [ =( multiply( Z, multiply( multiply( X, inverse( Z ) ), Y )
% 3.93/4.30 ), multiply( X, Y ) ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.93/4.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 519, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y,
% 3.93/4.30 inverse( Y ) ), Z ) ) ) ] )
% 3.93/4.30 , clause( 37, [ =( multiply( Z, multiply( multiply( X, inverse( X ) ), Y )
% 3.93/4.30 ), multiply( Z, Y ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 530, [ =( multiply( X, multiply( Y, inverse( multiply( Y, inverse(
% 3.93/4.30 Z ) ) ) ) ), multiply( X, Z ) ) ] )
% 3.93/4.30 , clause( 14, [ =( multiply( multiply( X, Z ), multiply( Y, inverse(
% 3.93/4.30 multiply( Y, Z ) ) ) ), X ) ] )
% 3.93/4.30 , 0, clause( 519, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y
% 3.93/4.30 , inverse( Y ) ), Z ) ) ) ] )
% 3.93/4.30 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, inverse( Z ) )] )
% 3.93/4.30 , substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, multiply( Y, inverse(
% 3.93/4.30 multiply( Y, inverse( Z ) ) ) ) )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 46, [ =( multiply( Z, multiply( Y, inverse( multiply( Y, inverse( X
% 3.93/4.30 ) ) ) ) ), multiply( Z, X ) ) ] )
% 3.93/4.30 , clause( 530, [ =( multiply( X, multiply( Y, inverse( multiply( Y, inverse(
% 3.93/4.30 Z ) ) ) ) ), multiply( X, Z ) ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 3.93/4.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 535, [ =( Y, multiply( X, multiply( multiply( Y, multiply( Z,
% 3.93/4.30 inverse( X ) ) ), inverse( Z ) ) ) ) ] )
% 3.93/4.30 , clause( 6, [ =( multiply( Z, multiply( multiply( T, multiply( X, inverse(
% 3.93/4.30 Z ) ) ), inverse( X ) ) ), T ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )
% 3.93/4.30 ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 539, [ =( X, multiply( Y, multiply( multiply( X, inverse( Y ) ),
% 3.93/4.30 inverse( multiply( Z, inverse( Z ) ) ) ) ) ) ] )
% 3.93/4.30 , clause( 37, [ =( multiply( Z, multiply( multiply( X, inverse( X ) ), Y )
% 3.93/4.30 ), multiply( Z, Y ) ) ] )
% 3.93/4.30 , 0, clause( 535, [ =( Y, multiply( X, multiply( multiply( Y, multiply( Z,
% 3.93/4.30 inverse( X ) ) ), inverse( Z ) ) ) ) ] )
% 3.93/4.30 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, inverse( Y ) ), :=( Z, X )] )
% 3.93/4.30 , substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, multiply( Z, inverse(
% 3.93/4.30 Z ) ) )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 540, [ =( X, multiply( X, inverse( multiply( Z, inverse( Z ) ) ) )
% 3.93/4.30 ) ] )
% 3.93/4.30 , clause( 38, [ =( multiply( Z, multiply( multiply( X, inverse( Z ) ), Y )
% 3.93/4.30 ), multiply( X, Y ) ) ] )
% 3.93/4.30 , 0, clause( 539, [ =( X, multiply( Y, multiply( multiply( X, inverse( Y )
% 3.93/4.30 ), inverse( multiply( Z, inverse( Z ) ) ) ) ) ) ] )
% 3.93/4.30 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( multiply( Z, inverse(
% 3.93/4.30 Z ) ) ) ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 3.93/4.30 Z, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 541, [ =( multiply( X, inverse( multiply( Y, inverse( Y ) ) ) ), X
% 3.93/4.30 ) ] )
% 3.93/4.30 , clause( 540, [ =( X, multiply( X, inverse( multiply( Z, inverse( Z ) ) )
% 3.93/4.30 ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 47, [ =( multiply( X, inverse( multiply( Y, inverse( Y ) ) ) ), X )
% 3.93/4.30 ] )
% 3.93/4.30 , clause( 541, [ =( multiply( X, inverse( multiply( Y, inverse( Y ) ) ) ),
% 3.93/4.30 X ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.93/4.30 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 542, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y,
% 3.93/4.30 inverse( Y ) ), Z ) ) ) ] )
% 3.93/4.30 , clause( 37, [ =( multiply( Z, multiply( multiply( X, inverse( X ) ), Y )
% 3.93/4.30 ), multiply( Z, Y ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 545, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y ) )
% 3.93/4.30 ) ] )
% 3.93/4.30 , clause( 5, [ =( multiply( Y, multiply( X, inverse( Y ) ) ), X ) ] )
% 3.93/4.30 , 0, clause( 542, [ =( multiply( X, Z ), multiply( X, multiply( multiply( Y
% 3.93/4.30 , inverse( Y ) ), Z ) ) ) ] )
% 3.93/4.30 , 0, 5, substitution( 0, [ :=( X, multiply( Y, inverse( Y ) ) ), :=( Y, X )] )
% 3.93/4.30 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( X ) )] )
% 3.93/4.30 ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 48, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y ) ) )
% 3.93/4.30 ] )
% 3.93/4.30 , clause( 545, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y )
% 3.93/4.30 ) ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.93/4.30 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 549, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 3.93/4.30 multiply( Z, Y ) ) ) ) ) ] )
% 3.93/4.30 , clause( 14, [ =( multiply( multiply( X, Z ), multiply( Y, inverse(
% 3.93/4.30 multiply( Y, Z ) ) ) ), X ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 551, [ =( X, multiply( multiply( Z, inverse( Z ) ), multiply( Y,
% 3.93/4.30 inverse( multiply( Y, inverse( X ) ) ) ) ) ) ] )
% 3.93/4.30 , clause( 48, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y ) )
% 3.93/4.30 ) ] )
% 3.93/4.30 , 0, clause( 549, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 3.93/4.30 multiply( Z, Y ) ) ) ) ) ] )
% 3.93/4.30 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 3.93/4.30 :=( X, X ), :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 553, [ =( X, multiply( multiply( Y, inverse( Y ) ), X ) ) ] )
% 3.93/4.30 , clause( 46, [ =( multiply( Z, multiply( Y, inverse( multiply( Y, inverse(
% 3.93/4.30 X ) ) ) ) ), multiply( Z, X ) ) ] )
% 3.93/4.30 , 0, clause( 551, [ =( X, multiply( multiply( Z, inverse( Z ) ), multiply(
% 3.93/4.30 Y, inverse( multiply( Y, inverse( X ) ) ) ) ) ) ] )
% 3.93/4.30 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, multiply( Y,
% 3.93/4.30 inverse( Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y
% 3.93/4.30 )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 554, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 3.93/4.30 , clause( 553, [ =( X, multiply( multiply( Y, inverse( Y ) ), X ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 52, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 3.93/4.30 , clause( 554, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.93/4.30 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 555, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 3.93/4.30 multiply( Z, Y ) ) ) ) ) ] )
% 3.93/4.30 , clause( 14, [ =( multiply( multiply( X, Z ), multiply( Y, inverse(
% 3.93/4.30 multiply( Y, Z ) ) ) ), X ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 558, [ =( X, multiply( multiply( X, inverse( Y ) ), multiply( Y,
% 3.93/4.30 inverse( multiply( Z, inverse( Z ) ) ) ) ) ) ] )
% 3.93/4.30 , clause( 48, [ =( multiply( X, inverse( X ) ), multiply( Y, inverse( Y ) )
% 3.93/4.30 ) ] )
% 3.93/4.30 , 0, clause( 555, [ =( X, multiply( multiply( X, Y ), multiply( Z, inverse(
% 3.93/4.30 multiply( Z, Y ) ) ) ) ) ] )
% 3.93/4.30 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 3.93/4.30 :=( X, X ), :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 559, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 3.93/4.30 , clause( 47, [ =( multiply( X, inverse( multiply( Y, inverse( Y ) ) ) ), X
% 3.93/4.30 ) ] )
% 3.93/4.30 , 0, clause( 558, [ =( X, multiply( multiply( X, inverse( Y ) ), multiply(
% 3.93/4.30 Y, inverse( multiply( Z, inverse( Z ) ) ) ) ) ) ] )
% 3.93/4.30 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 3.93/4.30 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 560, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 3.93/4.30 , clause( 559, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 53, [ =( multiply( multiply( Z, inverse( X ) ), X ), Z ) ] )
% 3.93/4.30 , clause( 560, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 3.93/4.30 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 575, [ =( multiply( multiply( multiply( X, inverse( X ) ), Y ), Z )
% 3.93/4.30 , multiply( Z, Y ) ) ] )
% 3.93/4.30 , clause( 52, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 3.93/4.30 , 0, clause( 25, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply(
% 3.93/4.30 X, Y ), Z ) ) ] )
% 3.93/4.30 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 3.93/4.30 :=( X, multiply( X, inverse( X ) ) ), :=( Y, Z ), :=( Z, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 577, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 3.93/4.30 , clause( 52, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 3.93/4.30 , 0, clause( 575, [ =( multiply( multiply( multiply( X, inverse( X ) ), Y )
% 3.93/4.30 , Z ), multiply( Z, Y ) ) ] )
% 3.93/4.30 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 3.93/4.30 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 57, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 3.93/4.30 , clause( 577, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 3.93/4.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 578, [ =( Y, multiply( multiply( X, inverse( X ) ), Y ) ) ] )
% 3.93/4.30 , clause( 52, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 580, [ =( X, multiply( multiply( inverse( Y ), Y ), X ) ) ] )
% 3.93/4.30 , clause( 57, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 3.93/4.30 , 0, clause( 578, [ =( Y, multiply( multiply( X, inverse( X ) ), Y ) ) ] )
% 3.93/4.30 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, inverse( Y ) )] )
% 3.93/4.30 , substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 586, [ =( multiply( multiply( inverse( Y ), Y ), X ), X ) ] )
% 3.93/4.30 , clause( 580, [ =( X, multiply( multiply( inverse( Y ), Y ), X ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 63, [ =( multiply( multiply( inverse( X ), X ), Y ), Y ) ] )
% 3.93/4.30 , clause( 586, [ =( multiply( multiply( inverse( Y ), Y ), X ), X ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 3.93/4.30 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 587, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( X, Z
% 3.93/4.30 ), Y ) ) ] )
% 3.93/4.30 , clause( 57, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 3.93/4.30 , 0, clause( 25, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply(
% 3.93/4.30 X, Y ), Z ) ) ] )
% 3.93/4.30 , 0, 1, substitution( 0, [ :=( X, T ), :=( Y, multiply( X, Y ) ), :=( Z, Z
% 3.93/4.30 )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 65, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( X, Z
% 3.93/4.30 ), Y ) ) ] )
% 3.93/4.30 , clause( 587, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( X
% 3.93/4.30 , Z ), Y ) ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.93/4.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 604, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X, Z
% 3.93/4.30 ), Y ) ) ] )
% 3.93/4.30 , clause( 57, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 3.93/4.30 , 0, clause( 25, [ =( multiply( multiply( X, Z ), Y ), multiply( multiply(
% 3.93/4.30 X, Y ), Z ) ) ] )
% 3.93/4.30 , 0, 2, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 3.93/4.30 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 66, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X, Z
% 3.93/4.30 ), Y ) ) ] )
% 3.93/4.30 , clause( 604, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X
% 3.93/4.30 , Z ), Y ) ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.93/4.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 619, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 3.93/4.30 , b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 3.93/4.30 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 3.93/4.30 c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 3.93/4.30 , clause( 1, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 3.93/4.30 , a1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 3.93/4.30 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 3.93/4.30 c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 645, [ ~( =( multiply( a4, b4 ), multiply( a4, b4 ) ) ), ~( =(
% 3.93/4.30 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~( =(
% 3.93/4.30 multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =( multiply( a3
% 3.93/4.30 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 3.93/4.30 , clause( 57, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 3.93/4.30 , 0, clause( 619, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 3.93/4.30 b1 ), b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 3.93/4.30 ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3
% 3.93/4.30 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 3.93/4.30 , 3, 5, substitution( 0, [ :=( X, X ), :=( Y, b4 ), :=( Z, a4 )] ),
% 3.93/4.30 substitution( 1, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqrefl(
% 3.93/4.30 clause( 722, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 3.93/4.30 , b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 3.93/4.30 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 3.93/4.30 c3 ) ) ) ] )
% 3.93/4.30 , clause( 645, [ ~( =( multiply( a4, b4 ), multiply( a4, b4 ) ) ), ~( =(
% 3.93/4.30 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~( =(
% 3.93/4.30 multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =( multiply( a3
% 3.93/4.30 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 723, [ ~( =( a2, a2 ) ), ~( =( multiply( inverse( a1 ), a1 ),
% 3.93/4.30 multiply( inverse( b1 ), b1 ) ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 3.93/4.30 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 3.93/4.30 , clause( 63, [ =( multiply( multiply( inverse( X ), X ), Y ), Y ) ] )
% 3.93/4.30 , 0, clause( 722, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 3.93/4.30 b1 ), b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 3.93/4.30 ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3
% 3.93/4.30 ), c3 ) ) ) ] )
% 3.93/4.30 , 1, 2, substitution( 0, [ :=( X, b2 ), :=( Y, a2 )] ), substitution( 1, [] )
% 3.93/4.30 ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 724, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply( multiply(
% 3.93/4.30 a3, b3 ), c3 ) ) ), ~( =( a2, a2 ) ), ~( =( multiply( inverse( a1 ), a1 )
% 3.93/4.30 , multiply( inverse( b1 ), b1 ) ) ) ] )
% 3.93/4.30 , clause( 65, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( X,
% 3.93/4.30 Z ), Y ) ) ] )
% 3.93/4.30 , 0, clause( 723, [ ~( =( a2, a2 ) ), ~( =( multiply( inverse( a1 ), a1 ),
% 3.93/4.30 multiply( inverse( b1 ), b1 ) ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 3.93/4.30 ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 3.93/4.30 , 2, 2, substitution( 0, [ :=( X, b3 ), :=( Y, c3 ), :=( Z, a3 )] ),
% 3.93/4.30 substitution( 1, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqrefl(
% 3.93/4.30 clause( 725, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply( multiply(
% 3.93/4.30 a3, b3 ), c3 ) ) ), ~( =( multiply( inverse( a1 ), a1 ), multiply(
% 3.93/4.30 inverse( b1 ), b1 ) ) ) ] )
% 3.93/4.30 , clause( 724, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply(
% 3.93/4.30 multiply( a3, b3 ), c3 ) ) ), ~( =( a2, a2 ) ), ~( =( multiply( inverse(
% 3.93/4.30 a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ) ] )
% 3.93/4.30 , 1, substitution( 0, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 727, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 3.93/4.30 , a1 ) ) ), ~( =( multiply( multiply( b3, a3 ), c3 ), multiply( multiply(
% 3.93/4.30 a3, b3 ), c3 ) ) ) ] )
% 3.93/4.30 , clause( 725, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply(
% 3.93/4.30 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( inverse( a1 ), a1 ),
% 3.93/4.30 multiply( inverse( b1 ), b1 ) ) ) ] )
% 3.93/4.30 , 1, substitution( 0, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 728, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( multiply(
% 3.93/4.30 b3, a3 ), c3 ) ) ), ~( =( multiply( inverse( b1 ), b1 ), multiply(
% 3.93/4.30 inverse( a1 ), a1 ) ) ) ] )
% 3.93/4.30 , clause( 727, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 3.93/4.30 ), a1 ) ) ), ~( =( multiply( multiply( b3, a3 ), c3 ), multiply(
% 3.93/4.30 multiply( a3, b3 ), c3 ) ) ) ] )
% 3.93/4.30 , 1, substitution( 0, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 72, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 3.93/4.30 , a1 ) ) ), ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( multiply(
% 3.93/4.30 b3, a3 ), c3 ) ) ) ] )
% 3.93/4.30 , clause( 728, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 3.93/4.30 multiply( b3, a3 ), c3 ) ) ), ~( =( multiply( inverse( b1 ), b1 ),
% 3.93/4.30 multiply( inverse( a1 ), a1 ) ) ) ] )
% 3.93/4.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 3.93/4.30 ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 730, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 3.93/4.30 , clause( 53, [ =( multiply( multiply( Z, inverse( X ) ), X ), Z ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 734, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y )
% 3.93/4.30 ) ] )
% 3.93/4.30 , clause( 63, [ =( multiply( multiply( inverse( X ), X ), Y ), Y ) ] )
% 3.93/4.30 , 0, clause( 730, [ =( X, multiply( multiply( X, inverse( Y ) ), Y ) ) ] )
% 3.93/4.30 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, inverse( Y ) )] ),
% 3.93/4.30 substitution( 1, [ :=( X, multiply( inverse( X ), X ) ), :=( Y, Y )] )
% 3.93/4.30 ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 106, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X )
% 3.93/4.30 ) ] )
% 3.93/4.30 , clause( 734, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y
% 3.93/4.30 ) ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 3.93/4.30 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 736, [ =( multiply( multiply( Y, X ), Z ), multiply( X, multiply( Y
% 3.93/4.30 , Z ) ) ) ] )
% 3.93/4.30 , clause( 65, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( X,
% 3.93/4.30 Z ), Y ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 741, [ =( multiply( multiply( X, Y ), Z ), multiply( Y, multiply( Z
% 3.93/4.30 , X ) ) ) ] )
% 3.93/4.30 , clause( 57, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 3.93/4.30 , 0, clause( 736, [ =( multiply( multiply( Y, X ), Z ), multiply( X,
% 3.93/4.30 multiply( Y, Z ) ) ) ] )
% 3.93/4.30 , 0, 8, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z )] ),
% 3.93/4.30 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 754, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( Z, Y
% 3.93/4.30 ), X ) ) ] )
% 3.93/4.30 , clause( 65, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( X,
% 3.93/4.30 Z ), Y ) ) ] )
% 3.93/4.30 , 0, clause( 741, [ =( multiply( multiply( X, Y ), Z ), multiply( Y,
% 3.93/4.30 multiply( Z, X ) ) ) ] )
% 3.93/4.30 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 3.93/4.30 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 147, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( X, Z
% 3.93/4.30 ), Y ) ) ] )
% 3.93/4.30 , clause( 754, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( Z
% 3.93/4.30 , Y ), X ) ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 3.93/4.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 755, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( X, Y
% 3.93/4.30 ), Z ) ) ] )
% 3.93/4.30 , clause( 66, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X,
% 3.93/4.30 Z ), Y ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 801, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( Y, X
% 3.93/4.30 ), Z ) ) ] )
% 3.93/4.30 , clause( 147, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( X
% 3.93/4.30 , Z ), Y ) ) ] )
% 3.93/4.30 , 0, clause( 755, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply(
% 3.93/4.30 X, Y ), Z ) ) ] )
% 3.93/4.30 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 3.93/4.30 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 167, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( Z, Y
% 3.93/4.30 ), X ) ) ] )
% 3.93/4.30 , clause( 801, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( Y
% 3.93/4.30 , X ), Z ) ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 3.93/4.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 817, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 3.93/4.30 , b1 ) ) ), ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( multiply(
% 3.93/4.30 b3, a3 ), c3 ) ) ) ] )
% 3.93/4.30 , clause( 72, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 3.93/4.30 ), a1 ) ) ), ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 3.93/4.30 multiply( b3, a3 ), c3 ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 821, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( multiply(
% 3.93/4.30 a3, b3 ), c3 ) ) ), ~( =( multiply( inverse( a1 ), a1 ), multiply(
% 3.93/4.30 inverse( b1 ), b1 ) ) ) ] )
% 3.93/4.30 , clause( 167, [ =( multiply( multiply( Y, Z ), X ), multiply( multiply( Z
% 3.93/4.30 , Y ), X ) ) ] )
% 3.93/4.30 , 0, clause( 817, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 3.93/4.30 b1 ), b1 ) ) ), ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 3.93/4.30 multiply( b3, a3 ), c3 ) ) ) ] )
% 3.93/4.30 , 1, 7, substitution( 0, [ :=( X, c3 ), :=( Y, b3 ), :=( Z, a3 )] ),
% 3.93/4.30 substitution( 1, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqrefl(
% 3.93/4.30 clause( 824, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 3.93/4.30 , b1 ) ) ) ] )
% 3.93/4.30 , clause( 821, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 3.93/4.30 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( inverse( a1 ), a1 ),
% 3.93/4.30 multiply( inverse( b1 ), b1 ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 825, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 3.93/4.30 , a1 ) ) ) ] )
% 3.93/4.30 , clause( 824, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 3.93/4.30 ), b1 ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 381, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 3.93/4.30 , a1 ) ) ) ] )
% 3.93/4.30 , clause( 825, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 3.93/4.30 ), a1 ) ) ) ] )
% 3.93/4.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 826, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 3.93/4.30 , b1 ) ) ) ] )
% 3.93/4.30 , clause( 381, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 3.93/4.30 ), a1 ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 828, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 3.93/4.30 , X ) ) ) ] )
% 3.93/4.30 , clause( 106, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X
% 3.93/4.30 ) ) ] )
% 3.93/4.30 , 0, clause( 826, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 3.93/4.30 b1 ), b1 ) ) ) ] )
% 3.93/4.30 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, b1 )] ), substitution( 1, [] )
% 3.93/4.30 ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 paramod(
% 3.93/4.30 clause( 829, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X
% 3.93/4.30 ) ) ) ] )
% 3.93/4.30 , clause( 106, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X
% 3.93/4.30 ) ) ] )
% 3.93/4.30 , 0, clause( 828, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 3.93/4.30 X ), X ) ) ) ] )
% 3.93/4.30 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, a1 )] ), substitution( 1, [
% 3.93/4.30 :=( X, X )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 386, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 3.93/4.30 a1 ) ) ) ] )
% 3.93/4.30 , clause( 829, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X )
% 3.93/4.30 , X ) ) ) ] )
% 3.93/4.30 , substitution( 0, [ :=( X, a1 ), :=( Y, X )] ), permutation( 0, [ ==>( 0,
% 3.93/4.30 0 )] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqswap(
% 3.93/4.30 clause( 830, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 3.93/4.30 , X ) ) ) ] )
% 3.93/4.30 , clause( 386, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 )
% 3.93/4.30 , a1 ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, X )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 eqrefl(
% 3.93/4.30 clause( 831, [] )
% 3.93/4.30 , clause( 830, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X
% 3.93/4.30 ), X ) ) ) ] )
% 3.93/4.30 , 0, substitution( 0, [ :=( X, a1 )] )).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 subsumption(
% 3.93/4.30 clause( 387, [] )
% 3.93/4.30 , clause( 831, [] )
% 3.93/4.30 , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 end.
% 3.93/4.30
% 3.93/4.30 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.93/4.30
% 3.93/4.30 Memory use:
% 3.93/4.30
% 3.93/4.30 space for terms: 6389
% 3.93/4.30 space for clauses: 38934
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 clauses generated: 22582
% 3.93/4.30 clauses kept: 388
% 3.93/4.30 clauses selected: 81
% 3.93/4.30 clauses deleted: 71
% 3.93/4.30 clauses inuse deleted: 0
% 3.93/4.30
% 3.93/4.30 subsentry: 21666
% 3.93/4.30 literals s-matched: 12647
% 3.93/4.30 literals matched: 12019
% 3.93/4.30 full subsumption: 0
% 3.93/4.30
% 3.93/4.30 checksum: 1888159917
% 3.93/4.30
% 3.93/4.30
% 3.93/4.30 Bliksem ended
%------------------------------------------------------------------------------