TSTP Solution File: GRP113-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP113-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:34:55 EDT 2022
% Result : Unsatisfiable 12.68s 13.10s
% Output : Refutation 12.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP113-1 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 05:01:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 12.68/13.09 *** allocated 10000 integers for termspace/termends
% 12.68/13.09 *** allocated 10000 integers for clauses
% 12.68/13.09 *** allocated 10000 integers for justifications
% 12.68/13.09 Bliksem 1.12
% 12.68/13.09
% 12.68/13.09
% 12.68/13.09 Automatic Strategy Selection
% 12.68/13.09
% 12.68/13.09 Clauses:
% 12.68/13.09 [
% 12.68/13.09 [ =( multiply( identity, X ), X ) ],
% 12.68/13.09 [ =( multiply( inverse( X ), X ), identity ) ],
% 12.68/13.09 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 12.68/13.09 ],
% 12.68/13.09 [ =( multiply( X, identity ), X ) ],
% 12.68/13.09 [ =( multiply( X, inverse( X ) ), identity ) ],
% 12.68/13.09 [ =( X, a ), =( X, b ), =( X, c ), =( X, identity ) ],
% 12.68/13.09 [ ~( =( a, b ) ) ],
% 12.68/13.09 [ ~( =( a, c ) ) ],
% 12.68/13.09 [ ~( =( a, identity ) ) ],
% 12.68/13.09 [ ~( =( b, c ) ) ],
% 12.68/13.09 [ ~( =( b, identity ) ) ],
% 12.68/13.09 [ ~( =( c, identity ) ) ],
% 12.68/13.09 [ ~( =( multiply( a, a ), identity ) ), ~( =( multiply( b, b ), identity
% 12.68/13.09 ) ), ~( =( multiply( c, c ), identity ) ) ],
% 12.68/13.09 [ ~( =( multiply( a, a ), b ) ), ~( =( multiply( a, multiply( a, a ) ),
% 12.68/13.09 c ) ), ~( =( multiply( a, multiply( a, multiply( a, a ) ) ), identity ) )
% 12.68/13.09 ],
% 12.68/13.09 [ ~( =( multiply( b, b ), c ) ), ~( =( multiply( b, multiply( b, b ) ),
% 12.68/13.09 a ) ), ~( =( multiply( b, multiply( b, multiply( b, b ) ) ), identity ) )
% 12.68/13.09 ],
% 12.68/13.09 [ ~( =( multiply( c, c ), a ) ), ~( =( multiply( c, multiply( c, c ) ),
% 12.68/13.09 b ) ), ~( =( multiply( c, multiply( c, multiply( c, c ) ) ), identity ) )
% 12.68/13.09 ]
% 12.68/13.09 ] .
% 12.68/13.09
% 12.68/13.09
% 12.68/13.09 percentage equality = 1.000000, percentage horn = 0.937500
% 12.68/13.09 This is a pure equality problem
% 12.68/13.09
% 12.68/13.09
% 12.68/13.09
% 12.68/13.09 Options Used:
% 12.68/13.09
% 12.68/13.09 useres = 1
% 12.68/13.09 useparamod = 1
% 12.68/13.09 useeqrefl = 1
% 12.68/13.09 useeqfact = 1
% 12.68/13.09 usefactor = 1
% 12.68/13.09 usesimpsplitting = 0
% 12.68/13.09 usesimpdemod = 5
% 12.68/13.09 usesimpres = 3
% 12.68/13.09
% 12.68/13.09 resimpinuse = 1000
% 12.68/13.09 resimpclauses = 20000
% 12.68/13.09 substype = eqrewr
% 12.68/13.09 backwardsubs = 1
% 12.68/13.09 selectoldest = 5
% 12.68/13.09
% 12.68/13.09 litorderings [0] = split
% 12.68/13.09 litorderings [1] = extend the termordering, first sorting on arguments
% 12.68/13.09
% 12.68/13.09 termordering = kbo
% 12.68/13.09
% 12.68/13.09 litapriori = 0
% 12.68/13.09 termapriori = 1
% 12.68/13.09 litaposteriori = 0
% 12.68/13.09 termaposteriori = 0
% 12.68/13.09 demodaposteriori = 0
% 12.68/13.09 ordereqreflfact = 0
% 12.68/13.09
% 12.68/13.09 litselect = negord
% 12.68/13.09
% 12.68/13.09 maxweight = 15
% 12.68/13.09 maxdepth = 30000
% 12.68/13.09 maxlength = 115
% 12.68/13.09 maxnrvars = 195
% 12.68/13.10 excuselevel = 1
% 12.68/13.10 increasemaxweight = 1
% 12.68/13.10
% 12.68/13.10 maxselected = 10000000
% 12.68/13.10 maxnrclauses = 10000000
% 12.68/13.10
% 12.68/13.10 showgenerated = 0
% 12.68/13.10 showkept = 0
% 12.68/13.10 showselected = 0
% 12.68/13.10 showdeleted = 0
% 12.68/13.10 showresimp = 1
% 12.68/13.10 showstatus = 2000
% 12.68/13.10
% 12.68/13.10 prologoutput = 1
% 12.68/13.10 nrgoals = 5000000
% 12.68/13.10 totalproof = 1
% 12.68/13.10
% 12.68/13.10 Symbols occurring in the translation:
% 12.68/13.10
% 12.68/13.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 12.68/13.10 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 12.68/13.10 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 12.68/13.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.68/13.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.68/13.10 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 12.68/13.10 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 12.68/13.10 inverse [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 12.68/13.10 a [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 12.68/13.10 b [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 12.68/13.10 c [47, 0] (w:1, o:15, a:1, s:1, b:0).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 Starting Search:
% 12.68/13.10
% 12.68/13.10 Resimplifying inuse:
% 12.68/13.10 Done
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 Intermediate Status:
% 12.68/13.10 Generated: 131633
% 12.68/13.10 Kept: 2003
% 12.68/13.10 Inuse: 241
% 12.68/13.10 Deleted: 55
% 12.68/13.10 Deletedinuse: 17
% 12.68/13.10
% 12.68/13.10 Resimplifying inuse:
% 12.68/13.10 Done
% 12.68/13.10
% 12.68/13.10 Resimplifying inuse:
% 12.68/13.10 Done
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 Intermediate Status:
% 12.68/13.10 Generated: 205394
% 12.68/13.10 Kept: 4008
% 12.68/13.10 Inuse: 341
% 12.68/13.10 Deleted: 108
% 12.68/13.10 Deletedinuse: 26
% 12.68/13.10
% 12.68/13.10 Resimplifying inuse:
% 12.68/13.10 Done
% 12.68/13.10
% 12.68/13.10 Resimplifying inuse:
% 12.68/13.10
% 12.68/13.10 Bliksems!, er is een bewijs:
% 12.68/13.10 % SZS status Unsatisfiable
% 12.68/13.10 % SZS output start Refutation
% 12.68/13.10
% 12.68/13.10 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 12.68/13.10 , Z ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3, [ =( multiply( X, identity ), X ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 5, [ =( X, a ), =( X, b ), =( X, c ), =( X, identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 6, [ ~( =( b, a ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 7, [ ~( =( c, a ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 8, [ ~( =( a, identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 9, [ ~( =( c, b ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 10, [ ~( =( b, identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 11, [ ~( =( c, identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 12, [ ~( =( multiply( a, a ), identity ) ), ~( =( multiply( b, b )
% 12.68/13.10 , identity ) ), ~( =( multiply( c, c ), identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 13, [ ~( =( multiply( a, a ), b ) ), ~( =( multiply( multiply( a, a
% 12.68/13.10 ), a ), c ) ), ~( =( multiply( multiply( multiply( a, a ), a ), a ),
% 12.68/13.10 identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 14, [ ~( =( multiply( b, b ), c ) ), ~( =( multiply( multiply( b, b
% 12.68/13.10 ), b ), a ) ), ~( =( multiply( multiply( multiply( b, b ), b ), b ),
% 12.68/13.10 identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 15, [ ~( =( multiply( c, c ), a ) ), ~( =( multiply( multiply( c, c
% 12.68/13.10 ), c ), b ) ), ~( =( multiply( multiply( multiply( c, c ), c ), c ),
% 12.68/13.10 identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 16, [ =( inverse( identity ), identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 17, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 12.68/13.10 , identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 19, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 22, [ =( inverse( inverse( X ) ), X ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 26, [ =( Y, a ), =( Y, b ), =( Y, X ), =( Y, identity ), =( X, a )
% 12.68/13.10 , =( X, b ), =( X, identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 27, [ =( Y, a ), =( Y, b ), =( Y, c ), =( Y, X ), =( X, a ), =( X,
% 12.68/13.10 b ), =( X, c ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 34, [ =( multiply( b, X ), identity ), =( inverse( X ), a ), =(
% 12.68/13.10 inverse( X ), c ), =( inverse( X ), identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 35, [ =( multiply( c, X ), identity ), =( inverse( X ), a ), =(
% 12.68/13.10 inverse( X ), b ), =( inverse( X ), identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 36, [ =( inverse( X ), X ), =( X, a ), =( X, b ), =( X, c ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 37, [ =( multiply( X, a ), identity ), =( inverse( X ), b ), =(
% 12.68/13.10 inverse( X ), c ), =( inverse( X ), identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 38, [ =( multiply( X, b ), identity ), =( inverse( X ), a ), =(
% 12.68/13.10 inverse( X ), c ), =( inverse( X ), identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 39, [ =( multiply( X, c ), identity ), =( inverse( X ), a ), =(
% 12.68/13.10 inverse( X ), b ), =( inverse( X ), identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 43, [ ~( =( X, a ) ), =( X, a ), =( X, b ), =( X, identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 45, [ ~( =( X, b ) ), =( X, a ), =( X, b ), =( X, identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 47, [ ~( =( X, identity ) ), =( X, a ), =( X, b ), =( X, identity )
% 12.68/13.10 ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 49, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y ) )
% 12.68/13.10 ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 51, [ =( multiply( Y, inverse( multiply( X, Y ) ) ), inverse( X ) )
% 12.68/13.10 ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 52, [ =( inverse( multiply( inverse( X ), Y ) ), multiply( inverse(
% 12.68/13.10 Y ), X ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 53, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply(
% 12.68/13.10 X, Y ) ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 57, [ =( inverse( multiply( X, inverse( Y ) ) ), multiply( Y,
% 12.68/13.10 inverse( X ) ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 58, [ =( multiply( multiply( Z, X ), inverse( multiply( Y, X ) ) )
% 12.68/13.10 , multiply( Z, inverse( Y ) ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 65, [ =( multiply( multiply( Z, inverse( X ) ), inverse( Y ) ),
% 12.68/13.10 multiply( Z, inverse( multiply( Y, X ) ) ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 66, [ =( multiply( multiply( inverse( Z ), Y ), inverse( X ) ),
% 12.68/13.10 inverse( multiply( multiply( X, inverse( Y ) ), Z ) ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 67, [ =( inverse( multiply( multiply( inverse( Y ), X ), Z ) ),
% 12.68/13.10 multiply( inverse( multiply( X, Z ) ), Y ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 73, [ ~( =( X, identity ) ), ~( =( X, a ) ), =( X, b ), =( X,
% 12.68/13.10 identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 81, [ ~( =( X, a ) ), ~( =( X, b ) ), =( X, a ), =( X, identity ) ]
% 12.68/13.10 )
% 12.68/13.10 .
% 12.68/13.10 clause( 82, [ ~( =( X, identity ) ), ~( =( X, b ) ), =( X, a ), =( X,
% 12.68/13.10 identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 83, [ ~( =( X, identity ) ), ~( =( X, a ) ), ~( =( X, b ) ), =( X,
% 12.68/13.10 identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 87, [ =( Y, identity ), ~( =( inverse( Y ), identity ) ), ~( =(
% 12.68/13.10 inverse( Y ), b ) ), =( inverse( Y ), a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 94, [ =( inverse( X ), X ), ~( =( X, identity ) ), =( X, a ), =( X
% 12.68/13.10 , b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 98, [ ~( =( X, identity ) ), =( inverse( X ), X ), ~( =( X,
% 12.68/13.10 identity ) ), =( X, b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 101, [ ~( =( X, identity ) ), =( inverse( X ), X ), =( X, b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 104, [ =( inverse( Y ), b ), ~( =( inverse( Y ), identity ) ), =(
% 12.68/13.10 inverse( Y ), Y ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 113, [ ~( =( X, identity ) ), ~( =( X, identity ) ), =( inverse( X
% 12.68/13.10 ), X ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 114, [ ~( =( X, identity ) ), =( inverse( X ), X ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 125, [ =( inverse( X ), X ), ~( =( inverse( X ), identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 128, [ =( identity, X ), ~( =( inverse( X ), identity ) ), ~( =( X
% 12.68/13.10 , b ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 129, [ =( identity, X ), ~( =( inverse( X ), identity ) ), ~( =( X
% 12.68/13.10 , a ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 136, [ =( a, identity ), ~( =( inverse( a ), identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 137, [ =( b, identity ), ~( =( inverse( b ), identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 138, [ ~( =( inverse( b ), identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 139, [ ~( =( inverse( X ), identity ) ), =( X, c ), =( X, identity
% 12.68/13.10 ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 140, [ =( inverse( b ), a ), =( inverse( b ), b ), =( inverse( b )
% 12.68/13.10 , c ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 141, [ ~( =( inverse( a ), identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 142, [ =( inverse( a ), a ), =( inverse( a ), b ), =( inverse( a )
% 12.68/13.10 , c ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 166, [ ~( =( X, identity ) ), =( X, identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 173, [ =( identity, X ), ~( =( inverse( X ), identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 180, [ ~( =( multiply( X, Y ), identity ) ), =( Y, inverse( X ) ) ]
% 12.68/13.10 )
% 12.68/13.10 .
% 12.68/13.10 clause( 181, [ ~( =( inverse( multiply( X, Y ) ), identity ) ), =( X,
% 12.68/13.10 inverse( Y ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 182, [ ~( =( multiply( X, Y ), identity ) ), =( X, inverse( Y ) ) ]
% 12.68/13.10 )
% 12.68/13.10 .
% 12.68/13.10 clause( 187, [ =( multiply( Y, X ), Y ), ~( =( X, identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 210, [ =( X, Y ), ~( =( inverse( Y ), X ) ), ~( =( inverse( X ),
% 12.68/13.10 identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 217, [ ~( =( inverse( c ), identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 417, [ =( multiply( Y, X ), identity ), ~( =( multiply( X, Y ),
% 12.68/13.10 identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 418, [ ~( =( inverse( X ), a ) ), ~( =( multiply( X, b ), identity
% 12.68/13.10 ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 454, [ ~( =( inverse( X ), a ) ), ~( =( multiply( c, X ), identity
% 12.68/13.10 ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 455, [ ~( =( inverse( X ), b ) ), ~( =( multiply( c, X ), identity
% 12.68/13.10 ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 510, [ ~( =( Y, a ) ), ~( =( multiply( c, X ), identity ) ), ~( =(
% 12.68/13.10 multiply( X, Y ), identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 518, [ ~( =( multiply( c, X ), identity ) ), ~( =( multiply( X, a )
% 12.68/13.10 , identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 546, [ ~( =( Y, b ) ), ~( =( multiply( c, X ), identity ) ), ~( =(
% 12.68/13.10 multiply( Y, X ), identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 557, [ ~( =( multiply( c, X ), identity ) ), ~( =( multiply( b, X )
% 12.68/13.10 , identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 601, [ ~( =( Y, a ) ), ~( =( multiply( X, b ), identity ) ), ~( =(
% 12.68/13.10 multiply( X, Y ), identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 608, [ ~( =( multiply( X, b ), identity ) ), ~( =( multiply( X, a )
% 12.68/13.10 , identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 894, [ =( multiply( a, c ), identity ), =( inverse( a ), a ), =(
% 12.68/13.10 inverse( a ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 1319, [ =( identity, X ), ~( =( multiply( multiply( Y, X ), inverse(
% 12.68/13.10 Y ) ), identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2241, [ ~( =( multiply( multiply( X, c ), inverse( X ) ), identity
% 12.68/13.10 ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2244, [ ~( =( multiply( X, inverse( multiply( X, a ) ) ), identity
% 12.68/13.10 ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2246, [ ~( =( multiply( X, inverse( multiply( X, b ) ) ), identity
% 12.68/13.10 ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2247, [ ~( =( multiply( multiply( X, b ), inverse( X ) ), identity
% 12.68/13.10 ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2284, [ ~( =( multiply( multiply( inverse( X ), c ), X ), identity
% 12.68/13.10 ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2348, [ ~( =( multiply( multiply( inverse( X ), b ), X ), identity
% 12.68/13.10 ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2388, [ ~( =( multiply( inverse( multiply( b, X ) ), X ), identity
% 12.68/13.10 ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2391, [ =( multiply( b, a ), b ), =( multiply( b, a ), c ), =(
% 12.68/13.10 multiply( b, a ), identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2468, [ ~( =( multiply( inverse( multiply( c, X ) ), X ), identity
% 12.68/13.10 ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2470, [ =( multiply( c, b ), a ), =( multiply( c, b ), c ), =(
% 12.68/13.10 multiply( c, b ), identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2471, [ =( multiply( c, a ), b ), =( multiply( c, a ), c ), =(
% 12.68/13.10 multiply( c, a ), identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2503, [ =( multiply( c, a ), b ), =( multiply( c, a ), identity ) ]
% 12.68/13.10 )
% 12.68/13.10 .
% 12.68/13.10 clause( 2504, [ =( multiply( b, a ), c ), =( multiply( b, a ), identity ) ]
% 12.68/13.10 )
% 12.68/13.10 .
% 12.68/13.10 clause( 2519, [ =( multiply( c, b ), a ), =( multiply( c, b ), identity ) ]
% 12.68/13.10 )
% 12.68/13.10 .
% 12.68/13.10 clause( 2536, [ =( multiply( c, b ), a ), ~( =( multiply( b, a ), identity
% 12.68/13.10 ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2540, [ =( multiply( c, b ), a ), ~( =( multiply( c, a ), identity
% 12.68/13.10 ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2545, [ =( multiply( c, b ), a ), =( inverse( b ), c ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2546, [ =( multiply( c, b ), a ), =( inverse( c ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2599, [ =( multiply( inverse( X ), b ), inverse( multiply( c, X ) )
% 12.68/13.10 ), =( multiply( c, b ), a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2600, [ =( multiply( b, inverse( X ) ), inverse( multiply( X, c ) )
% 12.68/13.10 ), =( multiply( c, b ), a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2696, [ =( multiply( c, a ), b ), =( multiply( c, b ), a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2701, [ =( multiply( c, a ), b ), ~( =( multiply( b, a ), identity
% 12.68/13.10 ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2705, [ =( multiply( c, a ), b ), =( inverse( a ), c ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2706, [ =( multiply( c, a ), b ), =( inverse( c ), a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2755, [ =( multiply( a, inverse( X ) ), inverse( multiply( X, c ) )
% 12.68/13.10 ), =( multiply( c, a ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2806, [ =( multiply( c, b ), a ), =( multiply( a, c ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2807, [ =( multiply( c, a ), b ), =( multiply( b, c ), a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2816, [ =( multiply( c, b ), a ), =( inverse( multiply( c, c ) ), a
% 12.68/13.10 ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2831, [ ~( =( multiply( a, c ), identity ) ), =( multiply( b, c ),
% 12.68/13.10 a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2837, [ =( multiply( b, c ), a ), =( inverse( a ), a ), =( inverse(
% 12.68/13.10 a ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2977, [ =( multiply( b, a ), c ), =( multiply( c, a ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2980, [ =( multiply( b, a ), c ), =( multiply( c, b ), a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 2988, [ =( multiply( b, a ), c ), =( inverse( b ), a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3131, [ =( multiply( c, a ), b ), =( multiply( multiply( X, a ), a
% 12.68/13.10 ), multiply( X, inverse( b ) ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3137, [ =( multiply( c, a ), b ), =( multiply( a, b ), c ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3245, [ =( multiply( b, inverse( a ) ), c ), =( multiply( a, b ), c
% 12.68/13.10 ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3270, [ =( multiply( c, b ), a ), =( multiply( a, b ), c ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3271, [ =( multiply( c, b ), a ), =( inverse( a ), a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3314, [ =( multiply( a, inverse( b ) ), c ), =( inverse( a ), a ) ]
% 12.68/13.10 )
% 12.68/13.10 .
% 12.68/13.10 clause( 3373, [ =( multiply( a, b ), c ), =( inverse( c ), c ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3420, [ =( multiply( c, inverse( b ) ), a ), =( inverse( c ), c ) ]
% 12.68/13.10 )
% 12.68/13.10 .
% 12.68/13.10 clause( 3516, [ =( inverse( c ), c ), =( multiply( inverse( a ), c ), b ) ]
% 12.68/13.10 )
% 12.68/13.10 .
% 12.68/13.10 clause( 3598, [ =( inverse( a ), a ), =( multiply( inverse( c ), a ), b ) ]
% 12.68/13.10 )
% 12.68/13.10 .
% 12.68/13.10 clause( 3627, [ =( multiply( a, a ), b ), =( multiply( c, a ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3657, [ =( multiply( c, a ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3672, [ ~( =( multiply( a, c ), identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3686, [ =( inverse( a ), a ), =( inverse( a ), b ), =( c, identity
% 12.68/13.10 ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3693, [ =( multiply( a, inverse( b ) ), inverse( c ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3694, [ =( multiply( inverse( b ), c ), inverse( a ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3697, [ =( multiply( b, inverse( a ) ), c ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3698, [ =( multiply( multiply( X, c ), a ), multiply( X, b ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3701, [ ~( =( X, identity ) ), ~( =( inverse( multiply( a, c ) ), X
% 12.68/13.10 ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3750, [ =( inverse( a ), b ), =( inverse( a ), a ), =( a, identity
% 12.68/13.10 ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3757, [ =( X, b ), =( X, identity ), =( inverse( a ), a ), =(
% 12.68/13.10 inverse( a ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3762, [ =( inverse( a ), a ), =( inverse( a ), b ), =( b, identity
% 12.68/13.10 ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3793, [ =( inverse( c ), c ), =( inverse( a ), a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3874, [ =( inverse( c ), c ), =( multiply( a, c ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3913, [ =( multiply( c, c ), identity ), =( inverse( a ), a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3960, [ =( multiply( c, c ), identity ), =( multiply( a, c ), b ) ]
% 12.68/13.10 )
% 12.68/13.10 .
% 12.68/13.10 clause( 3962, [ =( identity, X ), ~( =( multiply( multiply( a, X ), a ),
% 12.68/13.10 identity ) ), =( multiply( c, c ), identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 3982, [ =( multiply( c, c ), identity ), ~( =( multiply( b, b ),
% 12.68/13.10 identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4071, [ ~( =( multiply( a, a ), identity ) ), ~( =( multiply( b, b
% 12.68/13.10 ), identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4075, [ =( inverse( a ), a ), =( inverse( a ), b ), =( identity, X
% 12.68/13.10 ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4104, [ =( inverse( a ), a ), =( inverse( a ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4246, [ =( inverse( b ), a ), =( inverse( a ), a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4258, [ =( inverse( a ), a ), =( multiply( a, c ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4286, [ =( multiply( a, a ), identity ), =( inverse( b ), a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4354, [ ~( =( multiply( b, b ), identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4381, [ =( inverse( b ), a ), =( inverse( b ), c ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4486, [ =( inverse( a ), b ), =( inverse( b ), c ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4529, [ =( inverse( c ), b ), =( inverse( a ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4534, [ =( multiply( a, c ), b ), =( c, b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4536, [ =( multiply( b, b ), c ), =( inverse( c ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4567, [ =( multiply( a, b ), identity ), =( inverse( c ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4568, [ =( multiply( a, c ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4569, [ =( multiply( a, b ), multiply( b, a ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4594, [ =( multiply( c, inverse( b ) ), inverse( a ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4673, [ =( multiply( multiply( X, a ), b ), multiply( multiply( X,
% 12.68/13.10 b ), a ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4958, [ =( inverse( c ), b ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4979, [ =( c, b ), =( inverse( a ), a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4980, [ =( c, b ), =( multiply( b, a ), c ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 4988, [ =( inverse( X ), b ), ~( =( multiply( inverse( X ), c ),
% 12.68/13.10 identity ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 5012, [ =( multiply( inverse( X ), c ), inverse( multiply( b, X ) )
% 12.68/13.10 ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 5018, [ =( inverse( b ), c ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 5020, [ =( multiply( b, c ), identity ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 5023, [ =( multiply( c, c ), inverse( a ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 5025, [ =( inverse( a ), a ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 5026, [ =( multiply( b, a ), c ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 5073, [ =( multiply( multiply( X, b ), a ), multiply( X, c ) ) ] )
% 12.68/13.10 .
% 12.68/13.10 clause( 5090, [] )
% 12.68/13.10 .
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 % SZS output end Refutation
% 12.68/13.10 found a proof!
% 12.68/13.10
% 12.68/13.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 12.68/13.10
% 12.68/13.10 initialclauses(
% 12.68/13.10 [ clause( 5092, [ =( multiply( identity, X ), X ) ] )
% 12.68/13.10 , clause( 5093, [ =( multiply( inverse( X ), X ), identity ) ] )
% 12.68/13.10 , clause( 5094, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 12.68/13.10 Y, Z ) ) ) ] )
% 12.68/13.10 , clause( 5095, [ =( multiply( X, identity ), X ) ] )
% 12.68/13.10 , clause( 5096, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 12.68/13.10 , clause( 5097, [ =( X, a ), =( X, b ), =( X, c ), =( X, identity ) ] )
% 12.68/13.10 , clause( 5098, [ ~( =( a, b ) ) ] )
% 12.68/13.10 , clause( 5099, [ ~( =( a, c ) ) ] )
% 12.68/13.10 , clause( 5100, [ ~( =( a, identity ) ) ] )
% 12.68/13.10 , clause( 5101, [ ~( =( b, c ) ) ] )
% 12.68/13.10 , clause( 5102, [ ~( =( b, identity ) ) ] )
% 12.68/13.10 , clause( 5103, [ ~( =( c, identity ) ) ] )
% 12.68/13.10 , clause( 5104, [ ~( =( multiply( a, a ), identity ) ), ~( =( multiply( b,
% 12.68/13.10 b ), identity ) ), ~( =( multiply( c, c ), identity ) ) ] )
% 12.68/13.10 , clause( 5105, [ ~( =( multiply( a, a ), b ) ), ~( =( multiply( a,
% 12.68/13.10 multiply( a, a ) ), c ) ), ~( =( multiply( a, multiply( a, multiply( a, a
% 12.68/13.10 ) ) ), identity ) ) ] )
% 12.68/13.10 , clause( 5106, [ ~( =( multiply( b, b ), c ) ), ~( =( multiply( b,
% 12.68/13.10 multiply( b, b ) ), a ) ), ~( =( multiply( b, multiply( b, multiply( b, b
% 12.68/13.10 ) ) ), identity ) ) ] )
% 12.68/13.10 , clause( 5107, [ ~( =( multiply( c, c ), a ) ), ~( =( multiply( c,
% 12.68/13.10 multiply( c, c ) ), b ) ), ~( =( multiply( c, multiply( c, multiply( c, c
% 12.68/13.10 ) ) ), identity ) ) ] )
% 12.68/13.10 ] ).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 subsumption(
% 12.68/13.10 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 12.68/13.10 , clause( 5092, [ =( multiply( identity, X ), X ) ] )
% 12.68/13.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 subsumption(
% 12.68/13.10 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 12.68/13.10 , clause( 5093, [ =( multiply( inverse( X ), X ), identity ) ] )
% 12.68/13.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 eqswap(
% 12.68/13.10 clause( 5113, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 12.68/13.10 Y ), Z ) ) ] )
% 12.68/13.10 , clause( 5094, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 12.68/13.10 Y, Z ) ) ) ] )
% 12.68/13.10 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 subsumption(
% 12.68/13.10 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 12.68/13.10 , Z ) ) ] )
% 12.68/13.10 , clause( 5113, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 12.68/13.10 , Y ), Z ) ) ] )
% 12.68/13.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 12.68/13.10 permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 subsumption(
% 12.68/13.10 clause( 3, [ =( multiply( X, identity ), X ) ] )
% 12.68/13.10 , clause( 5095, [ =( multiply( X, identity ), X ) ] )
% 12.68/13.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 subsumption(
% 12.68/13.10 clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 12.68/13.10 , clause( 5096, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 12.68/13.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 subsumption(
% 12.68/13.10 clause( 5, [ =( X, a ), =( X, b ), =( X, c ), =( X, identity ) ] )
% 12.68/13.10 , clause( 5097, [ =( X, a ), =( X, b ), =( X, c ), =( X, identity ) ] )
% 12.68/13.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 12.68/13.10 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 eqswap(
% 12.68/13.10 clause( 5163, [ ~( =( b, a ) ) ] )
% 12.68/13.10 , clause( 5098, [ ~( =( a, b ) ) ] )
% 12.68/13.10 , 0, substitution( 0, [] )).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 subsumption(
% 12.68/13.10 clause( 6, [ ~( =( b, a ) ) ] )
% 12.68/13.10 , clause( 5163, [ ~( =( b, a ) ) ] )
% 12.68/13.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 eqswap(
% 12.68/13.10 clause( 5185, [ ~( =( c, a ) ) ] )
% 12.68/13.10 , clause( 5099, [ ~( =( a, c ) ) ] )
% 12.68/13.10 , 0, substitution( 0, [] )).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 subsumption(
% 12.68/13.10 clause( 7, [ ~( =( c, a ) ) ] )
% 12.68/13.10 , clause( 5185, [ ~( =( c, a ) ) ] )
% 12.68/13.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 subsumption(
% 12.68/13.10 clause( 8, [ ~( =( a, identity ) ) ] )
% 12.68/13.10 , clause( 5100, [ ~( =( a, identity ) ) ] )
% 12.68/13.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 eqswap(
% 12.68/13.10 clause( 5232, [ ~( =( c, b ) ) ] )
% 12.68/13.10 , clause( 5101, [ ~( =( b, c ) ) ] )
% 12.68/13.10 , 0, substitution( 0, [] )).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 subsumption(
% 12.68/13.10 clause( 9, [ ~( =( c, b ) ) ] )
% 12.68/13.10 , clause( 5232, [ ~( =( c, b ) ) ] )
% 12.68/13.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 subsumption(
% 12.68/13.10 clause( 10, [ ~( =( b, identity ) ) ] )
% 12.68/13.10 , clause( 5102, [ ~( =( b, identity ) ) ] )
% 12.68/13.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 subsumption(
% 12.68/13.10 clause( 11, [ ~( =( c, identity ) ) ] )
% 12.68/13.10 , clause( 5103, [ ~( =( c, identity ) ) ] )
% 12.68/13.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 subsumption(
% 12.68/13.10 clause( 12, [ ~( =( multiply( a, a ), identity ) ), ~( =( multiply( b, b )
% 12.68/13.10 , identity ) ), ~( =( multiply( c, c ), identity ) ) ] )
% 12.68/13.10 , clause( 5104, [ ~( =( multiply( a, a ), identity ) ), ~( =( multiply( b,
% 12.68/13.10 b ), identity ) ), ~( =( multiply( c, c ), identity ) ) ] )
% 12.68/13.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 12.68/13.10 , 2 )] ) ).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 paramod(
% 12.68/13.10 clause( 5403, [ ~( =( multiply( a, multiply( multiply( a, a ), a ) ),
% 12.68/13.10 identity ) ), ~( =( multiply( a, a ), b ) ), ~( =( multiply( a, multiply(
% 12.68/13.10 a, a ) ), c ) ) ] )
% 12.68/13.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 12.68/13.10 ), Z ) ) ] )
% 12.68/13.10 , 0, clause( 5105, [ ~( =( multiply( a, a ), b ) ), ~( =( multiply( a,
% 12.68/13.10 multiply( a, a ) ), c ) ), ~( =( multiply( a, multiply( a, multiply( a, a
% 12.68/13.10 ) ) ), identity ) ) ] )
% 12.68/13.10 , 2, 4, substitution( 0, [ :=( X, a ), :=( Y, a ), :=( Z, a )] ),
% 12.68/13.10 substitution( 1, [] )).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 paramod(
% 12.68/13.10 clause( 5411, [ ~( =( multiply( multiply( a, a ), a ), c ) ), ~( =(
% 12.68/13.10 multiply( a, multiply( multiply( a, a ), a ) ), identity ) ), ~( =(
% 12.68/13.10 multiply( a, a ), b ) ) ] )
% 12.68/13.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 12.68/13.10 ), Z ) ) ] )
% 12.68/13.10 , 0, clause( 5403, [ ~( =( multiply( a, multiply( multiply( a, a ), a ) ),
% 12.68/13.10 identity ) ), ~( =( multiply( a, a ), b ) ), ~( =( multiply( a, multiply(
% 12.68/13.10 a, a ) ), c ) ) ] )
% 12.68/13.10 , 2, 2, substitution( 0, [ :=( X, a ), :=( Y, a ), :=( Z, a )] ),
% 12.68/13.10 substitution( 1, [] )).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 paramod(
% 12.68/13.10 clause( 5415, [ ~( =( multiply( multiply( a, multiply( a, a ) ), a ),
% 12.68/13.10 identity ) ), ~( =( multiply( multiply( a, a ), a ), c ) ), ~( =(
% 12.68/13.10 multiply( a, a ), b ) ) ] )
% 12.68/13.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 12.68/13.10 ), Z ) ) ] )
% 12.68/13.10 , 0, clause( 5411, [ ~( =( multiply( multiply( a, a ), a ), c ) ), ~( =(
% 12.68/13.10 multiply( a, multiply( multiply( a, a ), a ) ), identity ) ), ~( =(
% 12.68/13.10 multiply( a, a ), b ) ) ] )
% 12.68/13.10 , 1, 2, substitution( 0, [ :=( X, a ), :=( Y, multiply( a, a ) ), :=( Z, a
% 12.68/13.10 )] ), substitution( 1, [] )).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 paramod(
% 12.68/13.10 clause( 5416, [ ~( =( multiply( multiply( multiply( a, a ), a ), a ),
% 12.68/13.10 identity ) ), ~( =( multiply( multiply( a, a ), a ), c ) ), ~( =(
% 12.68/13.10 multiply( a, a ), b ) ) ] )
% 12.68/13.10 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 12.68/13.10 ), Z ) ) ] )
% 12.68/13.10 , 0, clause( 5415, [ ~( =( multiply( multiply( a, multiply( a, a ) ), a ),
% 12.68/13.10 identity ) ), ~( =( multiply( multiply( a, a ), a ), c ) ), ~( =(
% 12.68/13.10 multiply( a, a ), b ) ) ] )
% 12.68/13.10 , 0, 3, substitution( 0, [ :=( X, a ), :=( Y, a ), :=( Z, a )] ),
% 12.68/13.10 substitution( 1, [] )).
% 12.68/13.10
% 12.68/13.10
% 12.68/13.10 subsumption(
% 12.68/13.10 clause( 13, [ ~( =( multiply( a, a ), b ) ), ~( =( multiply( multiply( a, a
% 12.68/13.11 ), a ), c ) ), ~( =( multiply( multiply( multiply( a, a ), a ), a ),
% 12.68/13.11 identity ) ) ] )
% 12.68/13.11 , clause( 5416, [ ~( =( multiply( multiply( multiply( a, a ), a ), a ),
% 12.68/13.11 identity ) ), ~( =( multiply( multiply( a, a ), a ), c ) ), ~( =(
% 12.68/13.11 multiply( a, a ), b ) ) ] )
% 12.68/13.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 12.68/13.11 , 0 )] ) ).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 paramod(
% 12.68/13.11 clause( 6783, [ ~( =( multiply( b, multiply( multiply( b, b ), b ) ),
% 12.68/13.11 identity ) ), ~( =( multiply( b, b ), c ) ), ~( =( multiply( b, multiply(
% 12.68/13.11 b, b ) ), a ) ) ] )
% 12.68/13.11 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 12.68/13.11 ), Z ) ) ] )
% 12.68/13.11 , 0, clause( 5106, [ ~( =( multiply( b, b ), c ) ), ~( =( multiply( b,
% 12.68/13.11 multiply( b, b ) ), a ) ), ~( =( multiply( b, multiply( b, multiply( b, b
% 12.68/13.11 ) ) ), identity ) ) ] )
% 12.68/13.11 , 2, 4, substitution( 0, [ :=( X, b ), :=( Y, b ), :=( Z, b )] ),
% 12.68/13.11 substitution( 1, [] )).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 paramod(
% 12.68/13.11 clause( 6791, [ ~( =( multiply( multiply( b, b ), b ), a ) ), ~( =(
% 12.68/13.11 multiply( b, multiply( multiply( b, b ), b ) ), identity ) ), ~( =(
% 12.68/13.11 multiply( b, b ), c ) ) ] )
% 12.68/13.11 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 12.68/13.11 ), Z ) ) ] )
% 12.68/13.11 , 0, clause( 6783, [ ~( =( multiply( b, multiply( multiply( b, b ), b ) ),
% 12.68/13.11 identity ) ), ~( =( multiply( b, b ), c ) ), ~( =( multiply( b, multiply(
% 12.68/13.11 b, b ) ), a ) ) ] )
% 12.68/13.11 , 2, 2, substitution( 0, [ :=( X, b ), :=( Y, b ), :=( Z, b )] ),
% 12.68/13.11 substitution( 1, [] )).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 paramod(
% 12.68/13.11 clause( 6795, [ ~( =( multiply( multiply( b, multiply( b, b ) ), b ),
% 12.68/13.11 identity ) ), ~( =( multiply( multiply( b, b ), b ), a ) ), ~( =(
% 12.68/13.11 multiply( b, b ), c ) ) ] )
% 12.68/13.11 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 12.68/13.11 ), Z ) ) ] )
% 12.68/13.11 , 0, clause( 6791, [ ~( =( multiply( multiply( b, b ), b ), a ) ), ~( =(
% 12.68/13.11 multiply( b, multiply( multiply( b, b ), b ) ), identity ) ), ~( =(
% 12.68/13.11 multiply( b, b ), c ) ) ] )
% 12.68/13.11 , 1, 2, substitution( 0, [ :=( X, b ), :=( Y, multiply( b, b ) ), :=( Z, b
% 12.68/13.11 )] ), substitution( 1, [] )).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 paramod(
% 12.68/13.11 clause( 6796, [ ~( =( multiply( multiply( multiply( b, b ), b ), b ),
% 12.68/13.11 identity ) ), ~( =( multiply( multiply( b, b ), b ), a ) ), ~( =(
% 12.68/13.11 multiply( b, b ), c ) ) ] )
% 12.68/13.11 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 12.68/13.11 ), Z ) ) ] )
% 12.68/13.11 , 0, clause( 6795, [ ~( =( multiply( multiply( b, multiply( b, b ) ), b ),
% 12.68/13.11 identity ) ), ~( =( multiply( multiply( b, b ), b ), a ) ), ~( =(
% 12.68/13.11 multiply( b, b ), c ) ) ] )
% 12.68/13.11 , 0, 3, substitution( 0, [ :=( X, b ), :=( Y, b ), :=( Z, b )] ),
% 12.68/13.11 substitution( 1, [] )).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 subsumption(
% 12.68/13.11 clause( 14, [ ~( =( multiply( b, b ), c ) ), ~( =( multiply( multiply( b, b
% 12.68/13.11 ), b ), a ) ), ~( =( multiply( multiply( multiply( b, b ), b ), b ),
% 12.68/13.11 identity ) ) ] )
% 12.68/13.11 , clause( 6796, [ ~( =( multiply( multiply( multiply( b, b ), b ), b ),
% 12.68/13.11 identity ) ), ~( =( multiply( multiply( b, b ), b ), a ) ), ~( =(
% 12.68/13.11 multiply( b, b ), c ) ) ] )
% 12.68/13.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 12.68/13.11 , 0 )] ) ).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 paramod(
% 12.68/13.11 clause( 9429, [ ~( =( multiply( c, multiply( multiply( c, c ), c ) ),
% 12.68/13.11 identity ) ), ~( =( multiply( c, c ), a ) ), ~( =( multiply( c, multiply(
% 12.68/13.11 c, c ) ), b ) ) ] )
% 12.68/13.11 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 12.68/13.11 ), Z ) ) ] )
% 12.68/13.11 , 0, clause( 5107, [ ~( =( multiply( c, c ), a ) ), ~( =( multiply( c,
% 12.68/13.11 multiply( c, c ) ), b ) ), ~( =( multiply( c, multiply( c, multiply( c, c
% 12.68/13.11 ) ) ), identity ) ) ] )
% 12.68/13.11 , 2, 4, substitution( 0, [ :=( X, c ), :=( Y, c ), :=( Z, c )] ),
% 12.68/13.11 substitution( 1, [] )).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 paramod(
% 12.68/13.11 clause( 9437, [ ~( =( multiply( multiply( c, c ), c ), b ) ), ~( =(
% 12.68/13.11 multiply( c, multiply( multiply( c, c ), c ) ), identity ) ), ~( =(
% 12.68/13.11 multiply( c, c ), a ) ) ] )
% 12.68/13.11 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 12.68/13.11 ), Z ) ) ] )
% 12.68/13.11 , 0, clause( 9429, [ ~( =( multiply( c, multiply( multiply( c, c ), c ) ),
% 12.68/13.11 identity ) ), ~( =( multiply( c, c ), a ) ), ~( =( multiply( c, multiply(
% 12.68/13.11 c, c ) ), b ) ) ] )
% 12.68/13.11 , 2, 2, substitution( 0, [ :=( X, c ), :=( Y, c ), :=( Z, c )] ),
% 12.68/13.11 substitution( 1, [] )).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 paramod(
% 12.68/13.11 clause( 9441, [ ~( =( multiply( multiply( c, multiply( c, c ) ), c ),
% 12.68/13.11 identity ) ), ~( =( multiply( multiply( c, c ), c ), b ) ), ~( =(
% 12.68/13.11 multiply( c, c ), a ) ) ] )
% 12.68/13.11 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 12.68/13.11 ), Z ) ) ] )
% 12.68/13.11 , 0, clause( 9437, [ ~( =( multiply( multiply( c, c ), c ), b ) ), ~( =(
% 12.68/13.11 multiply( c, multiply( multiply( c, c ), c ) ), identity ) ), ~( =(
% 12.68/13.11 multiply( c, c ), a ) ) ] )
% 12.68/13.11 , 1, 2, substitution( 0, [ :=( X, c ), :=( Y, multiply( c, c ) ), :=( Z, c
% 12.68/13.11 )] ), substitution( 1, [] )).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 paramod(
% 12.68/13.11 clause( 9442, [ ~( =( multiply( multiply( multiply( c, c ), c ), c ),
% 12.68/13.11 identity ) ), ~( =( multiply( multiply( c, c ), c ), b ) ), ~( =(
% 12.68/13.11 multiply( c, c ), a ) ) ] )
% 12.68/13.11 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 12.68/13.11 ), Z ) ) ] )
% 12.68/13.11 , 0, clause( 9441, [ ~( =( multiply( multiply( c, multiply( c, c ) ), c ),
% 12.68/13.11 identity ) ), ~( =( multiply( multiply( c, c ), c ), b ) ), ~( =(
% 12.68/13.11 multiply( c, c ), a ) ) ] )
% 12.68/13.11 , 0, 3, substitution( 0, [ :=( X, c ), :=( Y, c ), :=( Z, c )] ),
% 12.68/13.11 substitution( 1, [] )).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 subsumption(
% 12.68/13.11 clause( 15, [ ~( =( multiply( c, c ), a ) ), ~( =( multiply( multiply( c, c
% 12.68/13.11 ), c ), b ) ), ~( =( multiply( multiply( multiply( c, c ), c ), c ),
% 12.68/13.11 identity ) ) ] )
% 12.68/13.11 , clause( 9442, [ ~( =( multiply( multiply( multiply( c, c ), c ), c ),
% 12.68/13.11 identity ) ), ~( =( multiply( multiply( c, c ), c ), b ) ), ~( =(
% 12.68/13.11 multiply( c, c ), a ) ) ] )
% 12.68/13.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 12.68/13.11 , 0 )] ) ).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 eqswap(
% 12.68/13.11 clause( 9457, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 12.68/13.11 , clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 12.68/13.11 , 0, substitution( 0, [ :=( X, X )] )).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 paramod(
% 12.68/13.11 clause( 9459, [ =( identity, inverse( identity ) ) ] )
% 12.68/13.11 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 12.68/13.11 , 0, clause( 9457, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 12.68/13.11 , 0, 2, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 12.68/13.11 , [ :=( X, identity )] )).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 eqswap(
% 12.68/13.11 clause( 9460, [ =( inverse( identity ), identity ) ] )
% 12.68/13.11 , clause( 9459, [ =( identity, inverse( identity ) ) ] )
% 12.68/13.11 , 0, substitution( 0, [] )).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 subsumption(
% 12.68/13.11 clause( 16, [ =( inverse( identity ), identity ) ] )
% 12.68/13.11 , clause( 9460, [ =( inverse( identity ), identity ) ] )
% 12.68/13.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 eqswap(
% 12.68/13.11 clause( 9461, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 12.68/13.11 Y, Z ) ) ) ] )
% 12.68/13.11 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 12.68/13.11 ), Z ) ) ] )
% 12.68/13.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 paramod(
% 12.68/13.11 clause( 9464, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 12.68/13.11 ), identity ) ] )
% 12.68/13.11 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 12.68/13.11 , 0, clause( 9461, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 12.68/13.11 multiply( Y, Z ) ) ) ] )
% 12.68/13.11 , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 12.68/13.11 :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 subsumption(
% 12.68/13.11 clause( 17, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 12.68/13.11 , identity ) ] )
% 12.68/13.11 , clause( 9464, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ),
% 12.68/13.11 Y ), identity ) ] )
% 12.68/13.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.68/13.11 )] ) ).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 eqswap(
% 12.68/13.11 clause( 9470, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 12.68/13.11 Y, Z ) ) ) ] )
% 12.68/13.11 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 12.68/13.11 ), Z ) ) ] )
% 12.68/13.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 paramod(
% 12.68/13.11 clause( 9475, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 12.68/13.11 , identity ) ) ] )
% 12.68/13.11 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 12.68/13.11 , 0, clause( 9470, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 12.68/13.11 multiply( Y, Z ) ) ) ] )
% 12.68/13.11 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 12.68/13.11 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 12.68/13.11
% 12.68/13.11
% 12.68/13.11 paramod(
% 12.68/13.11 clause( 9476, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 12.68/13.11 , clause( 3, [ =( multiply( X, identity ), X ) ] )
% 12.68/13.11 , 0, clause( 9475, [ =( multiply( multiply( X, inverse( Y ) ), Y ),
% 122.16/122.57 multiply( X, identity ) ) ] )
% 122.16/122.57 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 122.16/122.57 :=( Y, Y )] )).
% 122.16/122.57
% 122.16/122.57
% 122.16/122.57 subsumption(
% 122.16/122.57 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), Y ) ] )
% 122.16/122.57 , clause( 9476, [ =( multiply( multiply( X, inverse( Y ) ), Y ), X ) ] )
% 122.16/122.57 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 122.16/122.57 )] ) ).
% 122.16/122.57
% 122.16/122.57
% 122.16/122.57 eqswap(
% 122.16/122.57 clause( 9479, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 122.16/122.57 Y, Z ) ) ) ] )
% 122.16/122.57 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 122.16/122.57 ), Z ) ) ] )
% 122.16/122.57 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 122.16/122.57
% 122.16/122.57
% 122.16/122.57 paramod(
% 122.16/122.57 clause( 9483, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply( X
% 122.16/122.57 , identity ) ) ] )
% 122.16/122.57 , clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 122.16/122.57 , 0, clause( 9479, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 122.16/122.57 multiply( Y, Z ) ) ) ] )
% 122.16/122.57 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 122.16/122.57 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 122.16/122.57
% 122.16/122.57
% 122.16/122.57 paramod(
% 122.16/122.57 clause( 9484, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 122.16/122.57 , clause( 3, [ =( multiply( X, identity ), X ) ] )
% 122.16/122.57 , 0, clause( 9483, [ =( multiply( multiply( X, Y ), inverse( Y ) ),
% 122.16/122.57 multiply( X, identity ) ) ] )
% 122.16/122.57 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 122.16/122.57 :=( Y, Y )] )).
% 122.16/122.57
% 122.16/122.57
% 122.16/122.57 subsumption(
% 122.16/122.57 clause( 19, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 122.16/122.57 , clause( 9484, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 122.16/122.57 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 122.16/122.57 )] ) ).
% 122.16/122.57
% 122.16/122.57
% 122.16/122.57 eqswap(
% 122.16/122.57 clause( 9487, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 122.16/122.57 , clause( 19, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 122.16/122.57 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 122.16/122.57
% 122.16/122.57
% 122.16/122.57 paramod(
% 122.16/122.57 clause( 9489, [ =( X, multiply( identity, inverse( inverse( X ) ) ) ) ] )
% 122.16/122.57 , clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 122.16/122.57 , 0, clause( 9487, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 122.16/122.57 )
% 122.16/122.57 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 122.16/122.57 :=( Y, inverse( X ) )] )).
% 122.16/122.57
% 122.16/122.57
% 122.16/122.57 paramod(
% 122.16/122.57 clause( 9490, [ =( X, inverse( inverse( X ) ) ) ] )
% 122.16/122.57 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 122.16/122.57 , 0, clause( 9489, [ =( X, multiply( identity, inverse( inverse( X ) ) ) )
% 122.16/122.57 ] )
% 122.16/122.57 , 0, 2, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 122.16/122.57 substitution( 1, [ :=( X, X )] )).
% 122.16/122.57
% 122.16/122.57
% 122.16/122.57 eqswap(
% 122.16/122.57 clause( 9491, [ =( inverse( inverse( X ) ), X ) ] )
% 122.16/122.57 , clause( 9490, [ =( X, inverse( inverse( X ) ) ) ] )
% 122.16/122.57 , 0, substitution( 0, [ :=( X, X )] )).
% 122.16/122.57
% 122.16/122.57
% 122.16/122.57 subsumption(
% 122.16/122.57 clause( 22, [ =( inverse( inverse( X ) ), X ) ] )
% 122.16/122.57 , clause( 9491, [ =( inverse( inverse( X ) ), X ) ] )
% 122.16/122.57 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 122.16/122.57
% 122.16/122.57
% 122.16/122.57 eqswap(
% 122.16/122.57 clause( 9492, [ =( a, X ), =( X, b ), =( X, c ), =( X, identity ) ] )
% 122.16/122.57 , clause( 5, [ =( X, a ), =( X, b ), =( X, c ), =( X, identity ) ] )
% 122.16/122.57 , 0, substitution( 0, [ :=( X, X )] )).
% 122.16/122.57
% 122.16/122.57
% 122.16/122.57 eqswap(
% 122.16/122.57 clause( 9509, [ =( c, X ), =( X, a ), =( X, b ), =( X, identity ) ] )
% 122.16/122.57 , clause( 5, [ =( X, a ), =( X, b ), =( X, c ), =( X, identity ) ] )
% 122.16/122.57 , 2, substitution( 0, [ :=( X, X )] )).
% 122.16/122.57
% 122.16/122.57
% 122.16/122.57 paramod(
% 122.16/122.57 clause( 91553, [ =( X, Y ), =( Y, a ), =( Y, b ), =( Y, identity ), =( a, X
% 122.16/122.57 ), =( X, b ), =( X, identity ) ] )
% 122.16/122.57 , clause( 9509, [ =( c, X ), =( X, a ), =( X, b ), =( X, identity ) ] )
% 122.16/122.57 , 0, clause( 9492, [ =( a, X ), =( X, b ), =( X, c ), =( X, identity ) ] )
% 122.16/122.57 , 2, 2, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X )] )
% 122.16/122.57 ).
% 122.16/122.57
% 122.16/122.57
% 122.16/122.57 eqswap(
% 122.16/122.57 clause( 91652, [ =( X, a ), =( X, Y ), =( Y, a ), =( Y, b ), =( Y, identity
% 122.16/122.57 ), =( X, b ), =( X, identity ) ] )
% 122.16/122.57 , clause( 91553, [ =( X, Y ), =( Y, a ), =( Y, b ), =( Y, identity ), =( a
% 122.16/122.57 , X ), =( X, b ), =( X, identity ) ] )
% 122.16/122.57 , 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 122.16/122.57
% 122.16/122.57
% 122.16/122.57 subsumption(
% 122.16/122.57 clause( 26, [ =( Y, a ), =( Y, b ), =( Y, X ), =( Y, identity ), =( X, a )
% 122.16/122.57 , =( X, b ), =( X, identity ) ] )
% 122.16/122.57 , clause( 91652, [ =( X, a ), =( X, Y ), =( Y, a ), =( Y, b ), =( Y,
% 122.16/122.57 identity ), =( X, b ), =( X, identity ) ] )
% 122.16/122.57 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 276.09/276.48 ), ==>( 1, 2 ), ==>( 2, 4 ), ==>( 3, 5 ), ==>( 4, 6 ), ==>( 5, 1 ),
% 276.09/276.48 ==>( 6, 3 )] ) ).
% 276.09/276.48
% 276.09/276.48
% 276.09/276.48 eqswap(
% 276.09/276.48 clause( 109327, [ =( a, X ), =( X, b ), =( X, c ), =( X, identity ) ] )
% 276.09/276.48 , clause( 5, [ =( X, a ), =( X, b ), =( X, c ), =( X, identity ) ] )
% 276.09/276.48 , 0, substitution( 0, [ :=( X, X )] )).
% 276.09/276.48
% 276.09/276.48
% 276.09/276.48 eqswap(
% 276.09/276.48 clause( 109345, [ =( identity, X ), =( X, a ), =( X, b ), =( X, c ) ] )
% 276.09/276.48 , clause( 5, [ =( X, a ), =( X, b ), =( X, c ), =( X, identity ) ] )
% 276.09/276.48 , 3, substitution( 0, [ :=( X, X )] )).
% 276.09/276.48
% 276.09/276.48
% 276.09/276.48 eqswap(
% 276.09/276.48 clause( 109346, [ =( a, X ), =( identity, X ), =( X, b ), =( X, c ) ] )
% 276.09/276.48 , clause( 109345, [ =( identity, X ), =( X, a ), =( X, b ), =( X, c ) ] )
% 276.09/276.48 , 1, substitution( 0, [ :=( X, X )] )).
% 276.09/276.48
% 276.09/276.48
% 276.09/276.48 paramod(
% 276.09/276.48 clause( 216959, [ =( X, Y ), =( a, Y ), =( Y, b ), =( Y, c ), =( a, X ),
% 276.09/276.48 =( X, b ), =( X, c ) ] )
% 276.09/276.48 , clause( 109346, [ =( a, X ), =( identity, X ), =( X, b ), =( X, c ) ] )
% 276.09/276.48 , 1, clause( 109327, [ =( a, X ), =( X, b ), =( X, c ), =( X, identity ) ]
% 276.09/276.48 )
% 276.09/276.48 , 3, 2, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X )] )
% 276.09/276.48 ).
% 276.09/276.48
% 276.09/276.48
% 276.09/276.48 eqswap(
% 276.09/276.48 clause( 217130, [ =( c, X ), =( X, Y ), =( a, Y ), =( Y, b ), =( Y, c ),
% 276.09/276.48 =( a, X ), =( X, b ) ] )
% 276.09/276.48 , clause( 216959, [ =( X, Y ), =( a, Y ), =( Y, b ), =( Y, c ), =( a, X ),
% 276.09/276.48 =( X, b ), =( X, c ) ] )
% 276.09/276.48 , 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 276.09/276.48
% 276.09/276.48
% 276.09/276.48 eqswap(
% 276.09/276.48 clause( 217135, [ =( b, X ), =( c, X ), =( X, Y ), =( a, Y ), =( Y, b ),
% 276.09/276.48 =( Y, c ), =( a, X ) ] )
% 276.09/276.48 , clause( 217130, [ =( c, X ), =( X, Y ), =( a, Y ), =( Y, b ), =( Y, c ),
% 276.09/276.48 =( a, X ), =( X, b ) ] )
% 276.09/276.48 , 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 276.09/276.48
% 276.09/276.48
% 276.09/276.48 eqswap(
% 276.09/276.48 clause( 217140, [ =( X, a ), =( b, X ), =( c, X ), =( X, Y ), =( a, Y ),
% 276.09/276.48 =( Y, b ), =( Y, c ) ] )
% 276.09/276.48 , clause( 217135, [ =( b, X ), =( c, X ), =( X, Y ), =( a, Y ), =( Y, b ),
% 276.09/276.48 =( Y, c ), =( a, X ) ] )
% 276.09/276.48 , 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 276.09/276.48
% 276.09/276.48
% 276.09/276.48 eqswap(
% 276.09/276.48 clause( 217145, [ =( c, X ), =( Y, a ), =( b, Y ), =( c, Y ), =( Y, X ),
% 276.09/276.48 =( a, X ), =( X, b ) ] )
% 276.09/276.48 , clause( 217140, [ =( X, a ), =( b, X ), =( c, X ), =( X, Y ), =( a, Y ),
% 276.09/276.48 =( Y, b ), =( Y, c ) ] )
% 276.09/276.48 , 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 276.09/276.48
% 276.09/276.48
% 276.09/276.48 eqswap(
% 276.09/276.48 clause( 217150, [ =( b, X ), =( c, X ), =( Y, a ), =( b, Y ), =( c, Y ),
% 276.09/276.48 =( Y, X ), =( a, X ) ] )
% 276.09/276.48 , clause( 217145, [ =( c, X ), =( Y, a ), =( b, Y ), =( c, Y ), =( Y, X ),
% 276.09/276.48 =( a, X ), =( X, b ) ] )
% 276.09/276.48 , 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 276.09/276.48
% 276.09/276.48
% 276.09/276.48 eqswap(
% 276.09/276.48 clause( 217155, [ =( X, a ), =( b, X ), =( c, X ), =( Y, a ), =( b, Y ),
% 276.09/276.48 =( c, Y ), =( Y, X ) ] )
% 276.09/276.48 , clause( 217150, [ =( b, X ), =( c, X ), =( Y, a ), =( b, Y ), =( c, Y ),
% 276.09/276.48 =( Y, X ), =( a, X ) ] )
% 276.09/276.48 , 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 276.09/276.48
% 276.09/276.48
% 276.09/276.48 eqswap(
% 276.09/276.48 clause( 217158, [ =( X, c ), =( Y, a ), =( b, Y ), =( c, Y ), =( X, a ),
% 276.09/276.48 =( b, X ), =( X, Y ) ] )
% 276.09/276.48 , clause( 217155, [ =( X, a ), =( b, X ), =( c, X ), =( Y, a ), =( b, Y ),
% 276.09/276.48 =( c, Y ), =( Y, X ) ] )
% 276.09/276.48 , 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 276.09/276.48
% 276.09/276.48
% 276.09/276.48 eqswap(
% 276.09/276.48 clause( 217162, [ =( X, b ), =( X, c ), =( Y, a ), =( b, Y ), =( c, Y ),
% 276.09/276.48 =( X, a ), =( X, Y ) ] )
% 276.09/276.48 , clause( 217158, [ =( X, c ), =( Y, a ), =( b, Y ), =( c, Y ), =( X, a ),
% 276.09/276.48 =( b, X ), =( X, Y ) ] )
% 276.09/276.48 , 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 276.09/276.48
% 276.09/276.48
% 276.09/276.48 eqswap(
% 276.09/276.48 clause( 217165, [ =( X, c ), =( Y, b ), =( Y, c ), =( X, a ), =( b, X ),
% 276.09/276.48 =( Y, a ), =( Y, X ) ] )
% 276.09/276.48 , clause( 217162, [ =( X, b ), =( X, c ), =( Y, a ), =( b, Y ), =( c, Y ),
% 276.09/276.48 =( X, a ), =( X, Y ) ] )
% 276.09/276.48 , 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 276.09/276.48
% 276.09/276.48
% 276.09/276.48 eqswap(
% 276.09/276.48 clause( 217168, [ =( X, b ), =( X, c ), =( Y, b ), =( Y, c ), =( X, a ),
% 276.09/276.48 =( Y, a ), =( Y, X ) ] )
% 276.09/276.48 , clause( 217165, [ =( X, c ), =( Y, b ), =( Y, c ), =( X, a ), =( b, X ),
% 276.09/276.48 =( Y, a ), =( Y, X ) ] )
% 276.09/276.48 , 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 276.09/276.48
% 276.09/276.48
% 276.09/276.48 subsumption(
% 276.09/276.48 clause( 27, [ =( Y, a ), =( Y, b ), =( Y, c ), =( Y, X ), =( X, a ), =( X,
% 276.09/276.48 b ), =( X, c ) ] )
% 276.09/276.48 , clause( 217168, [ =( X, b ), =( X, c ), =( Y, b ), =( Y, c ), =( X, a ),
% 276.09/276.48 =( Y, a ), =( Y, X ) ] )
% 276.09/276.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 5
% 276.09/276.48 ), ==>( 1, 6 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 4 ), ==>( 5, 0 ),
% 276.09/276.48 ==>Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------