TSTP Solution File: GRP094-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP094-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 07:34:49 EDT 2022
% Result : Unsatisfiable 4.76s 5.14s
% Output : Refutation 4.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP094-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n009.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 09:02:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.76/5.14 *** allocated 10000 integers for termspace/termends
% 4.76/5.14 *** allocated 10000 integers for clauses
% 4.76/5.14 *** allocated 10000 integers for justifications
% 4.76/5.14 Bliksem 1.12
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 Automatic Strategy Selection
% 4.76/5.14
% 4.76/5.14 Clauses:
% 4.76/5.14 [
% 4.76/5.14 [ =( divide( divide( identity, divide( X, Y ) ), divide( divide( Y, Z )
% 4.76/5.14 , X ) ), Z ) ],
% 4.76/5.14 [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ],
% 4.76/5.14 [ =( inverse( X ), divide( identity, X ) ) ],
% 4.76/5.14 [ =( identity, divide( X, X ) ) ],
% 4.76/5.14 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 4.76/5.14 , ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =(
% 4.76/5.14 multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, c3 ) ) )
% 4.76/5.14 ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ]
% 4.76/5.14 ] .
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 percentage equality = 1.000000, percentage horn = 1.000000
% 4.76/5.14 This is a pure equality problem
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 Options Used:
% 4.76/5.14
% 4.76/5.14 useres = 1
% 4.76/5.14 useparamod = 1
% 4.76/5.14 useeqrefl = 1
% 4.76/5.14 useeqfact = 1
% 4.76/5.14 usefactor = 1
% 4.76/5.14 usesimpsplitting = 0
% 4.76/5.14 usesimpdemod = 5
% 4.76/5.14 usesimpres = 3
% 4.76/5.14
% 4.76/5.14 resimpinuse = 1000
% 4.76/5.14 resimpclauses = 20000
% 4.76/5.14 substype = eqrewr
% 4.76/5.14 backwardsubs = 1
% 4.76/5.14 selectoldest = 5
% 4.76/5.14
% 4.76/5.14 litorderings [0] = split
% 4.76/5.14 litorderings [1] = extend the termordering, first sorting on arguments
% 4.76/5.14
% 4.76/5.14 termordering = kbo
% 4.76/5.14
% 4.76/5.14 litapriori = 0
% 4.76/5.14 termapriori = 1
% 4.76/5.14 litaposteriori = 0
% 4.76/5.14 termaposteriori = 0
% 4.76/5.14 demodaposteriori = 0
% 4.76/5.14 ordereqreflfact = 0
% 4.76/5.14
% 4.76/5.14 litselect = negord
% 4.76/5.14
% 4.76/5.14 maxweight = 15
% 4.76/5.14 maxdepth = 30000
% 4.76/5.14 maxlength = 115
% 4.76/5.14 maxnrvars = 195
% 4.76/5.14 excuselevel = 1
% 4.76/5.14 increasemaxweight = 1
% 4.76/5.14
% 4.76/5.14 maxselected = 10000000
% 4.76/5.14 maxnrclauses = 10000000
% 4.76/5.14
% 4.76/5.14 showgenerated = 0
% 4.76/5.14 showkept = 0
% 4.76/5.14 showselected = 0
% 4.76/5.14 showdeleted = 0
% 4.76/5.14 showresimp = 1
% 4.76/5.14 showstatus = 2000
% 4.76/5.14
% 4.76/5.14 prologoutput = 1
% 4.76/5.14 nrgoals = 5000000
% 4.76/5.14 totalproof = 1
% 4.76/5.14
% 4.76/5.14 Symbols occurring in the translation:
% 4.76/5.14
% 4.76/5.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.76/5.14 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 4.76/5.14 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 4.76/5.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.76/5.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.76/5.14 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 4.76/5.14 divide [42, 2] (w:1, o:53, a:1, s:1, b:0),
% 4.76/5.14 multiply [44, 2] (w:1, o:54, a:1, s:1, b:0),
% 4.76/5.14 inverse [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 4.76/5.14 a1 [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 4.76/5.14 b1 [47, 0] (w:1, o:17, a:1, s:1, b:0),
% 4.76/5.14 b2 [48, 0] (w:1, o:18, a:1, s:1, b:0),
% 4.76/5.14 a2 [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 4.76/5.14 a3 [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 4.76/5.14 b3 [51, 0] (w:1, o:19, a:1, s:1, b:0),
% 4.76/5.14 c3 [52, 0] (w:1, o:21, a:1, s:1, b:0),
% 4.76/5.14 a4 [53, 0] (w:1, o:16, a:1, s:1, b:0),
% 4.76/5.14 b4 [54, 0] (w:1, o:20, a:1, s:1, b:0).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 Starting Search:
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Failed to find proof!
% 4.76/5.14 maxweight = 15
% 4.76/5.14 maxnrclauses = 10000000
% 4.76/5.14 Generated: 13140
% 4.76/5.14 Kept: 181
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 The strategy used was not complete!
% 4.76/5.14
% 4.76/5.14 Increased maxweight to 16
% 4.76/5.14
% 4.76/5.14 Starting Search:
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Failed to find proof!
% 4.76/5.14 maxweight = 16
% 4.76/5.14 maxnrclauses = 10000000
% 4.76/5.14 Generated: 12493
% 4.76/5.14 Kept: 161
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 The strategy used was not complete!
% 4.76/5.14
% 4.76/5.14 Increased maxweight to 17
% 4.76/5.14
% 4.76/5.14 Starting Search:
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Failed to find proof!
% 4.76/5.14 maxweight = 17
% 4.76/5.14 maxnrclauses = 10000000
% 4.76/5.14 Generated: 18646
% 4.76/5.14 Kept: 179
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 The strategy used was not complete!
% 4.76/5.14
% 4.76/5.14 Increased maxweight to 18
% 4.76/5.14
% 4.76/5.14 Starting Search:
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Failed to find proof!
% 4.76/5.14 maxweight = 18
% 4.76/5.14 maxnrclauses = 10000000
% 4.76/5.14 Generated: 18646
% 4.76/5.14 Kept: 179
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 The strategy used was not complete!
% 4.76/5.14
% 4.76/5.14 Increased maxweight to 19
% 4.76/5.14
% 4.76/5.14 Starting Search:
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Failed to find proof!
% 4.76/5.14 maxweight = 19
% 4.76/5.14 maxnrclauses = 10000000
% 4.76/5.14 Generated: 203022
% 4.76/5.14 Kept: 299
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 The strategy used was not complete!
% 4.76/5.14
% 4.76/5.14 Increased maxweight to 20
% 4.76/5.14
% 4.76/5.14 Starting Search:
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Failed to find proof!
% 4.76/5.14 maxweight = 20
% 4.76/5.14 maxnrclauses = 10000000
% 4.76/5.14 Generated: 203539
% 4.76/5.14 Kept: 301
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 The strategy used was not complete!
% 4.76/5.14
% 4.76/5.14 Increased maxweight to 21
% 4.76/5.14
% 4.76/5.14 Starting Search:
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Failed to find proof!
% 4.76/5.14 maxweight = 21
% 4.76/5.14 maxnrclauses = 10000000
% 4.76/5.14 Generated: 334235
% 4.76/5.14 Kept: 369
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 The strategy used was not complete!
% 4.76/5.14
% 4.76/5.14 Increased maxweight to 22
% 4.76/5.14
% 4.76/5.14 Starting Search:
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Resimplifying inuse:
% 4.76/5.14 Done
% 4.76/5.14
% 4.76/5.14 Failed to find proof!
% 4.76/5.14 maxweight = 22
% 4.76/5.14 maxnrclauses = 10000000
% 4.76/5.14 Generated: 334235
% 4.76/5.14 Kept: 369
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 The strategy used was not complete!
% 4.76/5.14
% 4.76/5.14 Increased maxweight to 23
% 4.76/5.14
% 4.76/5.14 Starting Search:
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 Bliksems!, er is een bewijs:
% 4.76/5.14 % SZS status Unsatisfiable
% 4.76/5.14 % SZS output start Refutation
% 4.76/5.14
% 4.76/5.14 clause( 0, [ =( divide( divide( identity, divide( X, Y ) ), divide( divide(
% 4.76/5.14 Y, Z ), X ) ), Z ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 3, [ =( divide( X, X ), identity ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 4, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 4.76/5.14 a1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 4.76/5.14 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 4.76/5.14 c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 5, [ =( inverse( identity ), identity ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 10, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z )
% 4.76/5.14 , X ) ), Z ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 11, [ =( divide( inverse( Z ), multiply( divide( divide( divide( Y
% 4.76/5.14 , Z ), X ), T ), divide( X, Y ) ) ), T ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 18, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 19, [ =( divide( Y, identity ), Y ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 21, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 4.76/5.14 a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~(
% 4.76/5.14 =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 25, [ =( inverse( inverse( X ) ), X ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 27, [ =( inverse( multiply( Z, divide( X, Y ) ) ), divide( divide(
% 4.76/5.14 Y, Z ), X ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 29, [ =( multiply( Z, divide( divide( X, Y ), X ) ), divide( Z, Y )
% 4.76/5.14 ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 32, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 34, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 37, [ =( multiply( divide( divide( divide( Y, X ), Z ), T ), divide(
% 4.76/5.14 Z, Y ) ), inverse( multiply( T, X ) ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 38, [ =( multiply( Y, divide( U, Y ) ), U ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 49, [ =( divide( inverse( Y ), divide( Z, X ) ), divide( divide( X
% 4.76/5.14 , Y ), Z ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 51, [ =( multiply( divide( Z, Y ), Y ), Z ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 58, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 59, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 60, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 70, [ =( divide( inverse( X ), T ), inverse( multiply( T, X ) ) ) ]
% 4.76/5.14 )
% 4.76/5.14 .
% 4.76/5.14 clause( 71, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 75, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 80, [ =( multiply( Z, divide( X, Y ) ), divide( Z, divide( Y, X ) )
% 4.76/5.14 ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 81, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 87, [ =( multiply( inverse( X ), Y ), divide( Y, X ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 88, [ =( multiply( divide( Y, X ), Z ), divide( Z, divide( X, Y ) )
% 4.76/5.14 ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 101, [ =( divide( divide( Y, X ), Z ), divide( divide( Y, Z ), X )
% 4.76/5.14 ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 105, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 4.76/5.14 a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 120, [ =( divide( Z, divide( Y, X ) ), divide( multiply( X, Z ), Y
% 4.76/5.14 ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 124, [ =( multiply( Z, multiply( Y, X ) ), multiply( multiply( Y, Z
% 4.76/5.14 ), X ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 131, [ =( divide( multiply( Y, Z ), X ), divide( multiply( Z, Y ),
% 4.76/5.14 X ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 136, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X, Y
% 4.76/5.14 ), Z ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 795, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 4.76/5.14 multiply( multiply( a3, b3 ), c3 ), multiply( multiply( b3, a3 ), c3 ) )
% 4.76/5.14 ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 805, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.14 .
% 4.76/5.14 clause( 807, [] )
% 4.76/5.14 .
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 % SZS output end Refutation
% 4.76/5.14 found a proof!
% 4.76/5.14
% 4.76/5.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.76/5.14
% 4.76/5.14 initialclauses(
% 4.76/5.14 [ clause( 809, [ =( divide( divide( identity, divide( X, Y ) ), divide(
% 4.76/5.14 divide( Y, Z ), X ) ), Z ) ] )
% 4.76/5.14 , clause( 810, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) )
% 4.76/5.14 ] )
% 4.76/5.14 , clause( 811, [ =( inverse( X ), divide( identity, X ) ) ] )
% 4.76/5.14 , clause( 812, [ =( identity, divide( X, X ) ) ] )
% 4.76/5.14 , clause( 813, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 4.76/5.14 ), b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 4.76/5.14 , ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 4.76/5.14 c3 ) ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.14 ] ).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 subsumption(
% 4.76/5.14 clause( 0, [ =( divide( divide( identity, divide( X, Y ) ), divide( divide(
% 4.76/5.14 Y, Z ), X ) ), Z ) ] )
% 4.76/5.14 , clause( 809, [ =( divide( divide( identity, divide( X, Y ) ), divide(
% 4.76/5.14 divide( Y, Z ), X ) ), Z ) ] )
% 4.76/5.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.76/5.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 eqswap(
% 4.76/5.14 clause( 816, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 4.76/5.14 )
% 4.76/5.14 , clause( 810, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) )
% 4.76/5.14 ] )
% 4.76/5.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 subsumption(
% 4.76/5.14 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.14 , clause( 816, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 4.76/5.14 ] )
% 4.76/5.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.76/5.14 )] ) ).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 eqswap(
% 4.76/5.14 clause( 819, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.76/5.14 , clause( 811, [ =( inverse( X ), divide( identity, X ) ) ] )
% 4.76/5.14 , 0, substitution( 0, [ :=( X, X )] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 subsumption(
% 4.76/5.14 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.76/5.14 , clause( 819, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.76/5.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 eqswap(
% 4.76/5.14 clause( 823, [ =( divide( X, X ), identity ) ] )
% 4.76/5.14 , clause( 812, [ =( identity, divide( X, X ) ) ] )
% 4.76/5.14 , 0, substitution( 0, [ :=( X, X )] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 subsumption(
% 4.76/5.14 clause( 3, [ =( divide( X, X ), identity ) ] )
% 4.76/5.14 , clause( 823, [ =( divide( X, X ), identity ) ] )
% 4.76/5.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 eqswap(
% 4.76/5.14 clause( 831, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 4.76/5.14 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~( =(
% 4.76/5.14 multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =( multiply(
% 4.76/5.14 multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 4.76/5.14 , clause( 813, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 4.76/5.14 ), b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 4.76/5.14 , ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 4.76/5.14 c3 ) ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.14 , 3, substitution( 0, [] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 eqswap(
% 4.76/5.14 clause( 834, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 4.76/5.14 a3, b3 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~(
% 4.76/5.14 =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~(
% 4.76/5.14 =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ] )
% 4.76/5.14 , clause( 831, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 4.76/5.14 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~( =(
% 4.76/5.14 multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =( multiply(
% 4.76/5.14 multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 4.76/5.14 , 3, substitution( 0, [] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 eqswap(
% 4.76/5.14 clause( 836, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 4.76/5.14 , ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 )
% 4.76/5.14 , c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 4.76/5.14 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ) ] )
% 4.76/5.14 , clause( 834, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.76/5.14 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4
% 4.76/5.14 ) ) ), ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1
% 4.76/5.14 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ] )
% 4.76/5.14 , 3, substitution( 0, [] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 eqswap(
% 4.76/5.14 clause( 838, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 4.76/5.14 , a1 ) ) ), ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ),
% 4.76/5.14 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 4.76/5.14 c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 4.76/5.14 , clause( 836, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) )
% 4.76/5.14 ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3
% 4.76/5.14 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 4.76/5.14 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ) ] )
% 4.76/5.14 , 3, substitution( 0, [] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 eqswap(
% 4.76/5.14 clause( 840, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 4.76/5.14 multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =(
% 4.76/5.14 a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ), ~( =( multiply( a3
% 4.76/5.14 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 4.76/5.14 , clause( 838, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 4.76/5.14 ), a1 ) ) ), ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 4.76/5.14 , ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 )
% 4.76/5.14 , c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 4.76/5.14 , 3, substitution( 0, [] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 eqswap(
% 4.76/5.14 clause( 841, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 4.76/5.14 , ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =( multiply(
% 4.76/5.14 inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply(
% 4.76/5.14 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 4.76/5.14 , clause( 840, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 4.76/5.14 multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =(
% 4.76/5.14 a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ), ~( =( multiply( a3
% 4.76/5.14 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 4.76/5.14 , 2, substitution( 0, [] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 subsumption(
% 4.76/5.14 clause( 4, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 4.76/5.14 a1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 4.76/5.14 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 4.76/5.14 c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.14 , clause( 841, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 4.76/5.14 ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =( multiply(
% 4.76/5.14 inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply(
% 4.76/5.14 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 4.76/5.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 3 ), ==>( 2
% 4.76/5.14 , 0 ), ==>( 3, 2 )] ) ).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 eqswap(
% 4.76/5.14 clause( 843, [ =( inverse( X ), divide( identity, X ) ) ] )
% 4.76/5.14 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.76/5.14 , 0, substitution( 0, [ :=( X, X )] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 paramod(
% 4.76/5.14 clause( 845, [ =( inverse( identity ), identity ) ] )
% 4.76/5.14 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 4.76/5.14 , 0, clause( 843, [ =( inverse( X ), divide( identity, X ) ) ] )
% 4.76/5.14 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 4.76/5.14 identity )] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 subsumption(
% 4.76/5.14 clause( 5, [ =( inverse( identity ), identity ) ] )
% 4.76/5.14 , clause( 845, [ =( inverse( identity ), identity ) ] )
% 4.76/5.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 paramod(
% 4.76/5.14 clause( 849, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.14 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.76/5.14 , 0, clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 4.76/5.14 ] )
% 4.76/5.14 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 4.76/5.14 :=( Y, Y )] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 subsumption(
% 4.76/5.14 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.14 , clause( 849, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.76/5.14 )] ) ).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 eqswap(
% 4.76/5.14 clause( 852, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.14 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 paramod(
% 4.76/5.14 clause( 853, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 4.76/5.14 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 4.76/5.14 , 0, clause( 852, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.14 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 4.76/5.14 identity )] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 subsumption(
% 4.76/5.14 clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 4.76/5.14 , clause( 853, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 4.76/5.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 eqswap(
% 4.76/5.14 clause( 855, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.14 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 paramod(
% 4.76/5.14 clause( 857, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 4.76/5.14 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.76/5.14 , 0, clause( 855, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.14 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 4.76/5.14 :=( X, identity ), :=( Y, X )] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 subsumption(
% 4.76/5.14 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 4.76/5.14 , clause( 857, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 4.76/5.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 eqswap(
% 4.76/5.14 clause( 859, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.14 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 paramod(
% 4.76/5.14 clause( 861, [ =( multiply( inverse( X ), X ), identity ) ] )
% 4.76/5.14 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 4.76/5.14 , 0, clause( 859, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.14 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 4.76/5.14 :=( X, inverse( X ) ), :=( Y, X )] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 subsumption(
% 4.76/5.14 clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 4.76/5.14 , clause( 861, [ =( multiply( inverse( X ), X ), identity ) ] )
% 4.76/5.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 paramod(
% 4.76/5.14 clause( 865, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z )
% 4.76/5.14 , X ) ), Z ) ] )
% 4.76/5.14 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.76/5.14 , 0, clause( 0, [ =( divide( divide( identity, divide( X, Y ) ), divide(
% 4.76/5.14 divide( Y, Z ), X ) ), Z ) ] )
% 4.76/5.14 , 0, 2, substitution( 0, [ :=( X, divide( X, Y ) )] ), substitution( 1, [
% 4.76/5.14 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 subsumption(
% 4.76/5.14 clause( 10, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z )
% 4.76/5.14 , X ) ), Z ) ] )
% 4.76/5.14 , clause( 865, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z
% 4.76/5.14 ), X ) ), Z ) ] )
% 4.76/5.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.76/5.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 eqswap(
% 4.76/5.14 clause( 867, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide( Y,
% 4.76/5.14 Z ), X ) ) ) ] )
% 4.76/5.14 , clause( 10, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z
% 4.76/5.14 ), X ) ), Z ) ] )
% 4.76/5.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.14
% 4.76/5.14
% 4.76/5.14 paramod(
% 4.76/5.14 clause( 871, [ =( X, divide( inverse( T ), divide( divide( divide( divide(
% 4.76/5.14 Z, T ), Y ), X ), inverse( divide( Y, Z ) ) ) ) ) ] )
% 4.76/5.15 , clause( 10, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z
% 4.76/5.15 ), X ) ), Z ) ] )
% 4.76/5.15 , 0, clause( 867, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide(
% 4.76/5.15 Y, Z ), X ) ) ) ] )
% 4.76/5.15 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 4.76/5.15 substitution( 1, [ :=( X, inverse( divide( Y, Z ) ) ), :=( Y, divide(
% 4.76/5.15 divide( Z, T ), Y ) ), :=( Z, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 875, [ =( X, divide( inverse( Y ), multiply( divide( divide( divide(
% 4.76/5.15 Z, Y ), T ), X ), divide( T, Z ) ) ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, clause( 871, [ =( X, divide( inverse( T ), divide( divide( divide(
% 4.76/5.15 divide( Z, T ), Y ), X ), inverse( divide( Y, Z ) ) ) ) ) ] )
% 4.76/5.15 , 0, 5, substitution( 0, [ :=( X, divide( divide( divide( Z, Y ), T ), X )
% 4.76/5.15 ), :=( Y, divide( T, Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, T )
% 4.76/5.15 , :=( Z, Z ), :=( T, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 876, [ =( divide( inverse( Y ), multiply( divide( divide( divide( Z
% 4.76/5.15 , Y ), T ), X ), divide( T, Z ) ) ), X ) ] )
% 4.76/5.15 , clause( 875, [ =( X, divide( inverse( Y ), multiply( divide( divide(
% 4.76/5.15 divide( Z, Y ), T ), X ), divide( T, Z ) ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 11, [ =( divide( inverse( Z ), multiply( divide( divide( divide( Y
% 4.76/5.15 , Z ), X ), T ), divide( X, Y ) ) ), T ) ] )
% 4.76/5.15 , clause( 876, [ =( divide( inverse( Y ), multiply( divide( divide( divide(
% 4.76/5.15 Z, Y ), T ), X ), divide( T, Z ) ) ), X ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T, X )] ),
% 4.76/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 878, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide( Y,
% 4.76/5.15 Z ), X ) ) ) ] )
% 4.76/5.15 , clause( 10, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z
% 4.76/5.15 ), X ) ), Z ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 881, [ =( X, divide( inverse( identity ), divide( divide( Y, X ), Y
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 4.76/5.15 , 0, clause( 878, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide(
% 4.76/5.15 Y, Z ), X ) ) ) ] )
% 4.76/5.15 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 4.76/5.15 :=( Y, Y ), :=( Z, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 884, [ =( X, divide( identity, divide( divide( Y, X ), Y ) ) ) ] )
% 4.76/5.15 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 4.76/5.15 , 0, clause( 881, [ =( X, divide( inverse( identity ), divide( divide( Y, X
% 4.76/5.15 ), Y ) ) ) ] )
% 4.76/5.15 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 885, [ =( X, inverse( divide( divide( Y, X ), Y ) ) ) ] )
% 4.76/5.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.76/5.15 , 0, clause( 884, [ =( X, divide( identity, divide( divide( Y, X ), Y ) ) )
% 4.76/5.15 ] )
% 4.76/5.15 , 0, 2, substitution( 0, [ :=( X, divide( divide( Y, X ), Y ) )] ),
% 4.76/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 886, [ =( inverse( divide( divide( Y, X ), Y ) ), X ) ] )
% 4.76/5.15 , clause( 885, [ =( X, inverse( divide( divide( Y, X ), Y ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 18, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.76/5.15 , clause( 886, [ =( inverse( divide( divide( Y, X ), Y ) ), X ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.76/5.15 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 888, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide( Y,
% 4.76/5.15 Z ), X ) ) ) ] )
% 4.76/5.15 , clause( 10, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z
% 4.76/5.15 ), X ) ), Z ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 891, [ =( X, divide( inverse( divide( divide( Y, X ), Y ) ),
% 4.76/5.15 identity ) ) ] )
% 4.76/5.15 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 4.76/5.15 , 0, clause( 888, [ =( Z, divide( inverse( divide( X, Y ) ), divide( divide(
% 4.76/5.15 Y, Z ), X ) ) ) ] )
% 4.76/5.15 , 0, 9, substitution( 0, [ :=( X, divide( Y, X ) )] ), substitution( 1, [
% 4.76/5.15 :=( X, divide( Y, X ) ), :=( Y, Y ), :=( Z, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 893, [ =( X, divide( X, identity ) ) ] )
% 4.76/5.15 , clause( 18, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.76/5.15 , 0, clause( 891, [ =( X, divide( inverse( divide( divide( Y, X ), Y ) ),
% 4.76/5.15 identity ) ) ] )
% 4.76/5.15 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 4.76/5.15 :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 894, [ =( divide( X, identity ), X ) ] )
% 4.76/5.15 , clause( 893, [ =( X, divide( X, identity ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 19, [ =( divide( Y, identity ), Y ) ] )
% 4.76/5.15 , clause( 894, [ =( divide( X, identity ), X ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 916, [ ~( =( multiply( identity, a2 ), a2 ) ), ~( =( multiply(
% 4.76/5.15 inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply(
% 4.76/5.15 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =(
% 4.76/5.15 multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 4.76/5.15 , 0, clause( 4, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse(
% 4.76/5.15 a1 ), a1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 4.76/5.15 ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3
% 4.76/5.15 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , 1, 3, substitution( 0, [ :=( X, b2 )] ), substitution( 1, [] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 922, [ ~( =( multiply( inverse( b1 ), b1 ), identity ) ), ~( =(
% 4.76/5.15 multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 4.76/5.15 ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ),
% 4.76/5.15 multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 4.76/5.15 , 0, clause( 916, [ ~( =( multiply( identity, a2 ), a2 ) ), ~( =( multiply(
% 4.76/5.15 inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply(
% 4.76/5.15 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =(
% 4.76/5.15 multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , 1, 6, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 924, [ ~( =( identity, identity ) ), ~( =( multiply( identity, a2 )
% 4.76/5.15 , a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 4.76/5.15 a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 4.76/5.15 , 0, clause( 922, [ ~( =( multiply( inverse( b1 ), b1 ), identity ) ), ~(
% 4.76/5.15 =( multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3
% 4.76/5.15 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ),
% 4.76/5.15 multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , 0, 2, substitution( 0, [ :=( X, b1 )] ), substitution( 1, [] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 925, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( identity,
% 4.76/5.15 identity ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.76/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 4.76/5.15 , 0, clause( 924, [ ~( =( identity, identity ) ), ~( =( multiply( identity
% 4.76/5.15 , a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.76/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , 1, 2, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqrefl(
% 4.76/5.15 clause( 926, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( multiply( a3,
% 4.76/5.15 multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =(
% 4.76/5.15 multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , clause( 925, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( identity,
% 4.76/5.15 identity ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.76/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , 1, substitution( 0, [] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 21, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 4.76/5.15 a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~(
% 4.76/5.15 =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 4.76/5.15 , clause( 926, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( multiply( a3
% 4.76/5.15 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =(
% 4.76/5.15 multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 4.76/5.15 , 1 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 935, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 4.76/5.15 , clause( 18, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 937, [ =( X, inverse( divide( identity, X ) ) ) ] )
% 4.76/5.15 , clause( 19, [ =( divide( Y, identity ), Y ) ] )
% 4.76/5.15 , 0, clause( 935, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 4.76/5.15 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, divide( identity, X ) )] ),
% 4.76/5.15 substitution( 1, [ :=( X, identity ), :=( Y, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 939, [ =( X, inverse( inverse( X ) ) ) ] )
% 4.76/5.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.76/5.15 , 0, clause( 937, [ =( X, inverse( divide( identity, X ) ) ) ] )
% 4.76/5.15 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 940, [ =( inverse( inverse( X ) ), X ) ] )
% 4.76/5.15 , clause( 939, [ =( X, inverse( inverse( X ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 25, [ =( inverse( inverse( X ) ), X ) ] )
% 4.76/5.15 , clause( 940, [ =( inverse( inverse( X ) ), X ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 942, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 4.76/5.15 , clause( 18, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 945, [ =( divide( divide( X, Y ), Z ), inverse( divide( Y, inverse(
% 4.76/5.15 divide( Z, X ) ) ) ) ) ] )
% 4.76/5.15 , clause( 10, [ =( divide( inverse( divide( X, Y ) ), divide( divide( Y, Z
% 4.76/5.15 ), X ) ), Z ) ] )
% 4.76/5.15 , 0, clause( 942, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 4.76/5.15 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 4.76/5.15 substitution( 1, [ :=( X, inverse( divide( Z, X ) ) ), :=( Y, divide(
% 4.76/5.15 divide( X, Y ), Z ) )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 946, [ =( divide( divide( X, Y ), Z ), inverse( multiply( Y, divide(
% 4.76/5.15 Z, X ) ) ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, clause( 945, [ =( divide( divide( X, Y ), Z ), inverse( divide( Y,
% 4.76/5.15 inverse( divide( Z, X ) ) ) ) ) ] )
% 4.76/5.15 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, divide( Z, X ) )] ),
% 4.76/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 947, [ =( inverse( multiply( Y, divide( Z, X ) ) ), divide( divide(
% 4.76/5.15 X, Y ), Z ) ) ] )
% 4.76/5.15 , clause( 946, [ =( divide( divide( X, Y ), Z ), inverse( multiply( Y,
% 4.76/5.15 divide( Z, X ) ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 27, [ =( inverse( multiply( Z, divide( X, Y ) ) ), divide( divide(
% 4.76/5.15 Y, Z ), X ) ) ] )
% 4.76/5.15 , clause( 947, [ =( inverse( multiply( Y, divide( Z, X ) ) ), divide(
% 4.76/5.15 divide( X, Y ), Z ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 4.76/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 949, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 954, [ =( multiply( X, divide( divide( Y, Z ), Y ) ), divide( X, Z
% 4.76/5.15 ) ) ] )
% 4.76/5.15 , clause( 18, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.76/5.15 , 0, clause( 949, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.15 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 4.76/5.15 :=( X, X ), :=( Y, divide( divide( Y, Z ), Y ) )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 29, [ =( multiply( Z, divide( divide( X, Y ), X ) ), divide( Z, Y )
% 4.76/5.15 ) ] )
% 4.76/5.15 , clause( 954, [ =( multiply( X, divide( divide( Y, Z ), Y ) ), divide( X,
% 4.76/5.15 Z ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 4.76/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 957, [ =( X, inverse( inverse( X ) ) ) ] )
% 4.76/5.15 , clause( 25, [ =( inverse( inverse( X ) ), X ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 958, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 4.76/5.15 , clause( 18, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.76/5.15 , 0, clause( 957, [ =( X, inverse( inverse( X ) ) ) ] )
% 4.76/5.15 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.76/5.15 :=( X, divide( divide( X, Y ), X ) )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 32, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 4.76/5.15 , clause( 958, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.76/5.15 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 961, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 962, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 4.76/5.15 , clause( 25, [ =( inverse( inverse( X ) ), X ) ] )
% 4.76/5.15 , 0, clause( 961, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.15 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 4.76/5.15 :=( Y, inverse( Y ) )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 34, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 4.76/5.15 , clause( 962, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.76/5.15 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 965, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 4.76/5.15 , clause( 18, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 968, [ =( multiply( divide( divide( divide( X, Y ), Z ), T ),
% 4.76/5.15 divide( Z, X ) ), inverse( divide( T, inverse( Y ) ) ) ) ] )
% 4.76/5.15 , clause( 11, [ =( divide( inverse( Z ), multiply( divide( divide( divide(
% 4.76/5.15 Y, Z ), X ), T ), divide( X, Y ) ) ), T ) ] )
% 4.76/5.15 , 0, clause( 965, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 4.76/5.15 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 4.76/5.15 , substitution( 1, [ :=( X, inverse( Y ) ), :=( Y, multiply( divide(
% 4.76/5.15 divide( divide( X, Y ), Z ), T ), divide( Z, X ) ) )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 969, [ =( multiply( divide( divide( divide( X, Y ), Z ), T ),
% 4.76/5.15 divide( Z, X ) ), inverse( multiply( T, Y ) ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, clause( 968, [ =( multiply( divide( divide( divide( X, Y ), Z ), T ),
% 4.76/5.15 divide( Z, X ) ), inverse( divide( T, inverse( Y ) ) ) ) ] )
% 4.76/5.15 , 0, 13, substitution( 0, [ :=( X, T ), :=( Y, Y )] ), substitution( 1, [
% 4.76/5.15 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 37, [ =( multiply( divide( divide( divide( Y, X ), Z ), T ), divide(
% 4.76/5.15 Z, Y ) ), inverse( multiply( T, X ) ) ) ] )
% 4.76/5.15 , clause( 969, [ =( multiply( divide( divide( divide( X, Y ), Z ), T ),
% 4.76/5.15 divide( Z, X ) ), inverse( multiply( T, Y ) ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] ),
% 4.76/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 972, [ =( T, divide( inverse( X ), multiply( divide( divide( divide(
% 4.76/5.15 Y, X ), Z ), T ), divide( Z, Y ) ) ) ) ] )
% 4.76/5.15 , clause( 11, [ =( divide( inverse( Z ), multiply( divide( divide( divide(
% 4.76/5.15 Y, Z ), X ), T ), divide( X, Y ) ) ), T ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X ), :=( T, T )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 979, [ =( X, divide( Z, multiply( divide( divide( divide( T, divide(
% 4.76/5.15 divide( Y, Z ), Y ) ), U ), X ), divide( U, T ) ) ) ) ] )
% 4.76/5.15 , clause( 18, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.76/5.15 , 0, clause( 972, [ =( T, divide( inverse( X ), multiply( divide( divide(
% 4.76/5.15 divide( Y, X ), Z ), T ), divide( Z, Y ) ) ) ) ] )
% 4.76/5.15 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 4.76/5.15 :=( X, divide( divide( Y, Z ), Y ) ), :=( Y, T ), :=( Z, U ), :=( T, X )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 980, [ =( X, divide( Y, inverse( multiply( X, divide( divide( T, Y
% 4.76/5.15 ), T ) ) ) ) ) ] )
% 4.76/5.15 , clause( 37, [ =( multiply( divide( divide( divide( Y, X ), Z ), T ),
% 4.76/5.15 divide( Z, Y ) ), inverse( multiply( T, X ) ) ) ] )
% 4.76/5.15 , 0, clause( 979, [ =( X, divide( Z, multiply( divide( divide( divide( T,
% 4.76/5.15 divide( divide( Y, Z ), Y ) ), U ), X ), divide( U, T ) ) ) ) ] )
% 4.76/5.15 , 0, 4, substitution( 0, [ :=( X, divide( divide( T, Y ), T ) ), :=( Y, Z )
% 4.76/5.15 , :=( Z, U ), :=( T, X )] ), substitution( 1, [ :=( X, X ), :=( Y, T ),
% 4.76/5.15 :=( Z, Y ), :=( T, Z ), :=( U, U )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 981, [ =( X, multiply( Y, multiply( X, divide( divide( Z, Y ), Z )
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, clause( 980, [ =( X, divide( Y, inverse( multiply( X, divide( divide(
% 4.76/5.15 T, Y ), T ) ) ) ) ) ] )
% 4.76/5.15 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, divide( divide(
% 4.76/5.15 Z, Y ), Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, T )
% 4.76/5.15 , :=( T, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 982, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 4.76/5.15 , clause( 29, [ =( multiply( Z, divide( divide( X, Y ), X ) ), divide( Z, Y
% 4.76/5.15 ) ) ] )
% 4.76/5.15 , 0, clause( 981, [ =( X, multiply( Y, multiply( X, divide( divide( Z, Y )
% 4.76/5.15 , Z ) ) ) ) ] )
% 4.76/5.15 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 4.76/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 983, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 4.76/5.15 , clause( 982, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 38, [ =( multiply( Y, divide( U, Y ) ), U ) ] )
% 4.76/5.15 , clause( 983, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, U ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.76/5.15 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 985, [ =( T, divide( inverse( X ), multiply( divide( divide( divide(
% 4.76/5.15 Y, X ), Z ), T ), divide( Z, Y ) ) ) ) ] )
% 4.76/5.15 , clause( 11, [ =( divide( inverse( Z ), multiply( divide( divide( divide(
% 4.76/5.15 Y, Z ), X ), T ), divide( X, Y ) ) ), T ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X ), :=( T, T )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 989, [ =( divide( divide( X, Y ), Z ), divide( inverse( Y ),
% 4.76/5.15 multiply( identity, divide( Z, X ) ) ) ) ] )
% 4.76/5.15 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 4.76/5.15 , 0, clause( 985, [ =( T, divide( inverse( X ), multiply( divide( divide(
% 4.76/5.15 divide( Y, X ), Z ), T ), divide( Z, Y ) ) ) ) ] )
% 4.76/5.15 , 0, 10, substitution( 0, [ :=( X, divide( divide( X, Y ), Z ) )] ),
% 4.76/5.15 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, divide(
% 4.76/5.15 divide( X, Y ), Z ) )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 993, [ =( divide( divide( X, Y ), Z ), divide( inverse( Y ),
% 4.76/5.15 inverse( inverse( divide( Z, X ) ) ) ) ) ] )
% 4.76/5.15 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 4.76/5.15 , 0, clause( 989, [ =( divide( divide( X, Y ), Z ), divide( inverse( Y ),
% 4.76/5.15 multiply( identity, divide( Z, X ) ) ) ) ] )
% 4.76/5.15 , 0, 9, substitution( 0, [ :=( X, divide( Z, X ) )] ), substitution( 1, [
% 4.76/5.15 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 994, [ =( divide( divide( X, Y ), Z ), multiply( inverse( Y ),
% 4.76/5.15 inverse( divide( Z, X ) ) ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, clause( 993, [ =( divide( divide( X, Y ), Z ), divide( inverse( Y ),
% 4.76/5.15 inverse( inverse( divide( Z, X ) ) ) ) ) ] )
% 4.76/5.15 , 0, 6, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, inverse( divide( Z
% 4.76/5.15 , X ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 995, [ =( divide( divide( X, Y ), Z ), divide( inverse( Y ), divide(
% 4.76/5.15 Z, X ) ) ) ] )
% 4.76/5.15 , clause( 34, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 4.76/5.15 , 0, clause( 994, [ =( divide( divide( X, Y ), Z ), multiply( inverse( Y )
% 4.76/5.15 , inverse( divide( Z, X ) ) ) ) ] )
% 4.76/5.15 , 0, 6, substitution( 0, [ :=( X, divide( Z, X ) ), :=( Y, inverse( Y ) )] )
% 4.76/5.15 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 996, [ =( divide( inverse( Y ), divide( Z, X ) ), divide( divide( X
% 4.76/5.15 , Y ), Z ) ) ] )
% 4.76/5.15 , clause( 995, [ =( divide( divide( X, Y ), Z ), divide( inverse( Y ),
% 4.76/5.15 divide( Z, X ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 49, [ =( divide( inverse( Y ), divide( Z, X ) ), divide( divide( X
% 4.76/5.15 , Y ), Z ) ) ] )
% 4.76/5.15 , clause( 996, [ =( divide( inverse( Y ), divide( Z, X ) ), divide( divide(
% 4.76/5.15 X, Y ), Z ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.76/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 998, [ =( T, divide( inverse( X ), multiply( divide( divide( divide(
% 4.76/5.15 Y, X ), Z ), T ), divide( Z, Y ) ) ) ) ] )
% 4.76/5.15 , clause( 11, [ =( divide( inverse( Z ), multiply( divide( divide( divide(
% 4.76/5.15 Y, Z ), X ), T ), divide( X, Y ) ) ), T ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X ), :=( T, T )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1008, [ =( X, divide( inverse( Y ), multiply( divide( divide(
% 4.76/5.15 divide( Z, Y ), Z ), X ), identity ) ) ) ] )
% 4.76/5.15 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 4.76/5.15 , 0, clause( 998, [ =( T, divide( inverse( X ), multiply( divide( divide(
% 4.76/5.15 divide( Y, X ), Z ), T ), divide( Z, Y ) ) ) ) ] )
% 4.76/5.15 , 0, 13, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, Y ),
% 4.76/5.15 :=( Y, Z ), :=( Z, Z ), :=( T, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1009, [ =( X, divide( inverse( Y ), divide( divide( divide( divide(
% 4.76/5.15 Z, Y ), Z ), X ), identity ) ) ) ] )
% 4.76/5.15 , clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 4.76/5.15 , 0, clause( 1008, [ =( X, divide( inverse( Y ), multiply( divide( divide(
% 4.76/5.15 divide( Z, Y ), Z ), X ), identity ) ) ) ] )
% 4.76/5.15 , 0, 5, substitution( 0, [ :=( X, divide( divide( divide( Z, Y ), Z ), X )
% 4.76/5.15 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1010, [ =( X, divide( divide( identity, Y ), divide( divide( divide(
% 4.76/5.15 Z, Y ), Z ), X ) ) ) ] )
% 4.76/5.15 , clause( 49, [ =( divide( inverse( Y ), divide( Z, X ) ), divide( divide(
% 4.76/5.15 X, Y ), Z ) ) ] )
% 4.76/5.15 , 0, clause( 1009, [ =( X, divide( inverse( Y ), divide( divide( divide(
% 4.76/5.15 divide( Z, Y ), Z ), X ), identity ) ) ) ] )
% 4.76/5.15 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, Y ), :=( Z, divide(
% 4.76/5.15 divide( divide( Z, Y ), Z ), X ) )] ), substitution( 1, [ :=( X, X ),
% 4.76/5.15 :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1011, [ =( X, divide( inverse( Y ), divide( divide( divide( Z, Y )
% 4.76/5.15 , Z ), X ) ) ) ] )
% 4.76/5.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.76/5.15 , 0, clause( 1010, [ =( X, divide( divide( identity, Y ), divide( divide(
% 4.76/5.15 divide( Z, Y ), Z ), X ) ) ) ] )
% 4.76/5.15 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 4.76/5.15 :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1012, [ =( X, divide( divide( X, Y ), divide( divide( Z, Y ), Z ) )
% 4.76/5.15 ) ] )
% 4.76/5.15 , clause( 49, [ =( divide( inverse( Y ), divide( Z, X ) ), divide( divide(
% 4.76/5.15 X, Y ), Z ) ) ] )
% 4.76/5.15 , 0, clause( 1011, [ =( X, divide( inverse( Y ), divide( divide( divide( Z
% 4.76/5.15 , Y ), Z ), X ) ) ) ] )
% 4.76/5.15 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, divide( divide( Z
% 4.76/5.15 , Y ), Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1013, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 4.76/5.15 , clause( 32, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 4.76/5.15 , 0, clause( 1012, [ =( X, divide( divide( X, Y ), divide( divide( Z, Y ),
% 4.76/5.15 Z ) ) ) ] )
% 4.76/5.15 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 4.76/5.15 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1014, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, clause( 1013, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 4.76/5.15 , 0, 2, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, Y )] ),
% 4.76/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1015, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 4.76/5.15 , clause( 1014, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 51, [ =( multiply( divide( Z, Y ), Y ), Z ) ] )
% 4.76/5.15 , clause( 1015, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.76/5.15 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1017, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 4.76/5.15 , clause( 51, [ =( multiply( divide( Z, Y ), Y ), Z ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1020, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, clause( 1017, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 4.76/5.15 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.76/5.15 :=( X, X ), :=( Y, inverse( Y ) )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1021, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 4.76/5.15 , clause( 34, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 4.76/5.15 , 0, clause( 1020, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ]
% 4.76/5.15 )
% 4.76/5.15 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Y ) )] ),
% 4.76/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1022, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 4.76/5.15 , clause( 1021, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 58, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 4.76/5.15 , clause( 1022, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.76/5.15 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1024, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 4.76/5.15 , clause( 38, [ =( multiply( Y, divide( U, Y ) ), U ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, U ),
% 4.76/5.15 :=( U, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1027, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 4.76/5.15 , clause( 58, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 4.76/5.15 , 0, clause( 1024, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 4.76/5.15 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.76/5.15 :=( X, Y ), :=( Y, multiply( X, Y ) )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 59, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 4.76/5.15 , clause( 1027, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.76/5.15 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1029, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 4.76/5.15 , clause( 58, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1031, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 4.76/5.15 , clause( 38, [ =( multiply( Y, divide( U, Y ) ), U ) ] )
% 4.76/5.15 , 0, clause( 1029, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 4.76/5.15 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, U ),
% 4.76/5.15 :=( U, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, divide( Y, X ) )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1032, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 4.76/5.15 , clause( 1031, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 60, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 4.76/5.15 , clause( 1032, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.76/5.15 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1034, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 4.76/5.15 , clause( 60, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1040, [ =( multiply( divide( divide( divide( X, Y ), Z ), T ),
% 4.76/5.15 divide( Z, X ) ), divide( inverse( Y ), T ) ) ] )
% 4.76/5.15 , clause( 11, [ =( divide( inverse( Z ), multiply( divide( divide( divide(
% 4.76/5.15 Y, Z ), X ), T ), divide( X, Y ) ) ), T ) ] )
% 4.76/5.15 , 0, clause( 1034, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 4.76/5.15 , 0, 15, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 4.76/5.15 , substitution( 1, [ :=( X, inverse( Y ) ), :=( Y, multiply( divide(
% 4.76/5.15 divide( divide( X, Y ), Z ), T ), divide( Z, X ) ) )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1041, [ =( inverse( multiply( T, Y ) ), divide( inverse( Y ), T ) )
% 4.76/5.15 ] )
% 4.76/5.15 , clause( 37, [ =( multiply( divide( divide( divide( Y, X ), Z ), T ),
% 4.76/5.15 divide( Z, Y ) ), inverse( multiply( T, X ) ) ) ] )
% 4.76/5.15 , 0, clause( 1040, [ =( multiply( divide( divide( divide( X, Y ), Z ), T )
% 4.76/5.15 , divide( Z, X ) ), divide( inverse( Y ), T ) ) ] )
% 4.76/5.15 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 4.76/5.15 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1042, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) )
% 4.76/5.15 ] )
% 4.76/5.15 , clause( 1041, [ =( inverse( multiply( T, Y ) ), divide( inverse( Y ), T )
% 4.76/5.15 ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 70, [ =( divide( inverse( X ), T ), inverse( multiply( T, X ) ) ) ]
% 4.76/5.15 )
% 4.76/5.15 , clause( 1042, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) )
% 4.76/5.15 ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, T ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.76/5.15 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1044, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 4.76/5.15 , clause( 18, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1045, [ =( divide( X, Y ), inverse( divide( Y, X ) ) ) ] )
% 4.76/5.15 , clause( 60, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 4.76/5.15 , 0, clause( 1044, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 4.76/5.15 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 4.76/5.15 :=( X, X ), :=( Y, divide( X, Y ) )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1046, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.76/5.15 , clause( 1045, [ =( divide( X, Y ), inverse( divide( Y, X ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 71, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.76/5.15 , clause( 1046, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.76/5.15 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1048, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 4.76/5.15 , clause( 71, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1050, [ =( divide( X, multiply( Y, X ) ), inverse( Y ) ) ] )
% 4.76/5.15 , clause( 58, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 4.76/5.15 , 0, clause( 1048, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 4.76/5.15 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 4.76/5.15 :=( X, multiply( Y, X ) ), :=( Y, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 75, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 4.76/5.15 , clause( 1050, [ =( divide( X, multiply( Y, X ) ), inverse( Y ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.76/5.15 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1054, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1059, [ =( multiply( X, divide( Y, Z ) ), divide( X, divide( Z, Y )
% 4.76/5.15 ) ) ] )
% 4.76/5.15 , clause( 71, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.76/5.15 , 0, clause( 1054, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.15 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 4.76/5.15 :=( X, X ), :=( Y, divide( Y, Z ) )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 80, [ =( multiply( Z, divide( X, Y ) ), divide( Z, divide( Y, X ) )
% 4.76/5.15 ) ] )
% 4.76/5.15 , clause( 1059, [ =( multiply( X, divide( Y, Z ) ), divide( X, divide( Z, Y
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 4.76/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1062, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 4.76/5.15 , clause( 51, [ =( multiply( divide( Z, Y ), Y ), Z ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1065, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 4.76/5.15 , clause( 75, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 4.76/5.15 , 0, clause( 1062, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 4.76/5.15 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 4.76/5.15 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1066, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 4.76/5.15 , clause( 1065, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 81, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 4.76/5.15 , clause( 1066, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.76/5.15 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1068, [ =( Y, multiply( inverse( X ), multiply( X, Y ) ) ) ] )
% 4.76/5.15 , clause( 81, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1069, [ =( divide( X, Y ), multiply( inverse( Y ), X ) ) ] )
% 4.76/5.15 , clause( 38, [ =( multiply( Y, divide( U, Y ) ), U ) ] )
% 4.76/5.15 , 0, clause( 1068, [ =( Y, multiply( inverse( X ), multiply( X, Y ) ) ) ]
% 4.76/5.15 )
% 4.76/5.15 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, U ),
% 4.76/5.15 :=( U, X )] ), substitution( 1, [ :=( X, Y ), :=( Y, divide( X, Y ) )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1070, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 4.76/5.15 , clause( 1069, [ =( divide( X, Y ), multiply( inverse( Y ), X ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 87, [ =( multiply( inverse( X ), Y ), divide( Y, X ) ) ] )
% 4.76/5.15 , clause( 1070, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.76/5.15 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1072, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 4.76/5.15 , clause( 87, [ =( multiply( inverse( X ), Y ), divide( Y, X ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1073, [ =( divide( X, divide( Y, Z ) ), multiply( divide( Z, Y ), X
% 4.76/5.15 ) ) ] )
% 4.76/5.15 , clause( 71, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.76/5.15 , 0, clause( 1072, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 4.76/5.15 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 4.76/5.15 :=( X, divide( Y, Z ) ), :=( Y, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1074, [ =( multiply( divide( Z, Y ), X ), divide( X, divide( Y, Z )
% 4.76/5.15 ) ) ] )
% 4.76/5.15 , clause( 1073, [ =( divide( X, divide( Y, Z ) ), multiply( divide( Z, Y )
% 4.76/5.15 , X ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 88, [ =( multiply( divide( Y, X ), Z ), divide( Z, divide( X, Y ) )
% 4.76/5.15 ) ] )
% 4.76/5.15 , clause( 1074, [ =( multiply( divide( Z, Y ), X ), divide( X, divide( Y, Z
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 4.76/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1076, [ =( inverse( multiply( Y, X ) ), divide( inverse( X ), Y ) )
% 4.76/5.15 ] )
% 4.76/5.15 , clause( 70, [ =( divide( inverse( X ), T ), inverse( multiply( T, X ) ) )
% 4.76/5.15 ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1080, [ =( inverse( multiply( X, divide( Y, Z ) ) ), divide( divide(
% 4.76/5.15 Z, Y ), X ) ) ] )
% 4.76/5.15 , clause( 71, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.76/5.15 , 0, clause( 1076, [ =( inverse( multiply( Y, X ) ), divide( inverse( X ),
% 4.76/5.15 Y ) ) ] )
% 4.76/5.15 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 4.76/5.15 :=( X, divide( Y, Z ) ), :=( Y, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1081, [ =( divide( divide( Z, X ), Y ), divide( divide( Z, Y ), X )
% 4.76/5.15 ) ] )
% 4.76/5.15 , clause( 27, [ =( inverse( multiply( Z, divide( X, Y ) ) ), divide( divide(
% 4.76/5.15 Y, Z ), X ) ) ] )
% 4.76/5.15 , 0, clause( 1080, [ =( inverse( multiply( X, divide( Y, Z ) ) ), divide(
% 4.76/5.15 divide( Z, Y ), X ) ) ] )
% 4.76/5.15 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 4.76/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 101, [ =( divide( divide( Y, X ), Z ), divide( divide( Y, Z ), X )
% 4.76/5.15 ) ] )
% 4.76/5.15 , clause( 1081, [ =( divide( divide( Z, X ), Y ), divide( divide( Z, Y ), X
% 4.76/5.15 ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 4.76/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1090, [ ~( =( a2, a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) )
% 4.76/5.15 , multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ),
% 4.76/5.15 multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , clause( 25, [ =( inverse( inverse( X ) ), X ) ] )
% 4.76/5.15 , 0, clause( 21, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.76/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.76/5.15 ) ) ), ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 4.76/5.15 , 2, 2, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqrefl(
% 4.76/5.15 clause( 1091, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.76/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , clause( 1090, [ ~( =( a2, a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 4.76/5.15 ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ),
% 4.76/5.15 multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 105, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 4.76/5.15 a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , clause( 1091, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.76/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1095, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1098, [ =( multiply( divide( X, Y ), Z ), divide( divide( X,
% 4.76/5.15 inverse( Z ) ), Y ) ) ] )
% 4.76/5.15 , clause( 101, [ =( divide( divide( Y, X ), Z ), divide( divide( Y, Z ), X
% 4.76/5.15 ) ) ] )
% 4.76/5.15 , 0, clause( 1095, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.15 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, inverse( Z ) )] )
% 4.76/5.15 , substitution( 1, [ :=( X, divide( X, Y ) ), :=( Y, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1100, [ =( multiply( divide( X, Y ), Z ), divide( multiply( X, Z )
% 4.76/5.15 , Y ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, clause( 1098, [ =( multiply( divide( X, Y ), Z ), divide( divide( X,
% 4.76/5.15 inverse( Z ) ), Y ) ) ] )
% 4.76/5.15 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 4.76/5.15 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1101, [ =( divide( Z, divide( Y, X ) ), divide( multiply( X, Z ), Y
% 4.76/5.15 ) ) ] )
% 4.76/5.15 , clause( 88, [ =( multiply( divide( Y, X ), Z ), divide( Z, divide( X, Y )
% 4.76/5.15 ) ) ] )
% 4.76/5.15 , 0, clause( 1100, [ =( multiply( divide( X, Y ), Z ), divide( multiply( X
% 4.76/5.15 , Z ), Y ) ) ] )
% 4.76/5.15 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 4.76/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 120, [ =( divide( Z, divide( Y, X ) ), divide( multiply( X, Z ), Y
% 4.76/5.15 ) ) ] )
% 4.76/5.15 , clause( 1101, [ =( divide( Z, divide( Y, X ) ), divide( multiply( X, Z )
% 4.76/5.15 , Y ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.76/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1104, [ =( divide( multiply( Z, X ), Y ), divide( X, divide( Y, Z )
% 4.76/5.15 ) ) ] )
% 4.76/5.15 , clause( 120, [ =( divide( Z, divide( Y, X ) ), divide( multiply( X, Z ),
% 4.76/5.15 Y ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1109, [ =( divide( multiply( X, Y ), inverse( Z ) ), divide( Y,
% 4.76/5.15 inverse( multiply( X, Z ) ) ) ) ] )
% 4.76/5.15 , clause( 70, [ =( divide( inverse( X ), T ), inverse( multiply( T, X ) ) )
% 4.76/5.15 ] )
% 4.76/5.15 , 0, clause( 1104, [ =( divide( multiply( Z, X ), Y ), divide( X, divide( Y
% 4.76/5.15 , Z ) ) ) ] )
% 4.76/5.15 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, U ), :=( T, X )] )
% 4.76/5.15 , substitution( 1, [ :=( X, Y ), :=( Y, inverse( Z ) ), :=( Z, X )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1111, [ =( divide( multiply( X, Y ), inverse( Z ) ), multiply( Y,
% 4.76/5.15 multiply( X, Z ) ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, clause( 1109, [ =( divide( multiply( X, Y ), inverse( Z ) ), divide( Y
% 4.76/5.15 , inverse( multiply( X, Z ) ) ) ) ] )
% 4.76/5.15 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Z ) )] ),
% 4.76/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1113, [ =( multiply( multiply( X, Y ), Z ), multiply( Y, multiply(
% 4.76/5.15 X, Z ) ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, clause( 1111, [ =( divide( multiply( X, Y ), inverse( Z ) ), multiply(
% 4.76/5.15 Y, multiply( X, Z ) ) ) ] )
% 4.76/5.15 , 0, 1, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, Z )] ),
% 4.76/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1114, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( X,
% 4.76/5.15 Y ), Z ) ) ] )
% 4.76/5.15 , clause( 1113, [ =( multiply( multiply( X, Y ), Z ), multiply( Y, multiply(
% 4.76/5.15 X, Z ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 124, [ =( multiply( Z, multiply( Y, X ) ), multiply( multiply( Y, Z
% 4.76/5.15 ), X ) ) ] )
% 4.76/5.15 , clause( 1114, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( X
% 4.76/5.15 , Y ), Z ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 4.76/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1116, [ =( multiply( multiply( Y, X ), Z ), multiply( X, multiply(
% 4.76/5.15 Y, Z ) ) ) ] )
% 4.76/5.15 , clause( 124, [ =( multiply( Z, multiply( Y, X ) ), multiply( multiply( Y
% 4.76/5.15 , Z ), X ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1125, [ =( multiply( multiply( inverse( X ), Y ), Z ), multiply( Y
% 4.76/5.15 , divide( Z, X ) ) ) ] )
% 4.76/5.15 , clause( 87, [ =( multiply( inverse( X ), Y ), divide( Y, X ) ) ] )
% 4.76/5.15 , 0, clause( 1116, [ =( multiply( multiply( Y, X ), Z ), multiply( X,
% 4.76/5.15 multiply( Y, Z ) ) ) ] )
% 4.76/5.15 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 4.76/5.15 :=( X, Y ), :=( Y, inverse( X ) ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1127, [ =( multiply( multiply( inverse( X ), Y ), Z ), divide( Y,
% 4.76/5.15 divide( X, Z ) ) ) ] )
% 4.76/5.15 , clause( 80, [ =( multiply( Z, divide( X, Y ) ), divide( Z, divide( Y, X )
% 4.76/5.15 ) ) ] )
% 4.76/5.15 , 0, clause( 1125, [ =( multiply( multiply( inverse( X ), Y ), Z ),
% 4.76/5.15 multiply( Y, divide( Z, X ) ) ) ] )
% 4.76/5.15 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 4.76/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1128, [ =( multiply( multiply( inverse( X ), Y ), Z ), divide(
% 4.76/5.15 multiply( Z, Y ), X ) ) ] )
% 4.76/5.15 , clause( 120, [ =( divide( Z, divide( Y, X ) ), divide( multiply( X, Z ),
% 4.76/5.15 Y ) ) ] )
% 4.76/5.15 , 0, clause( 1127, [ =( multiply( multiply( inverse( X ), Y ), Z ), divide(
% 4.76/5.15 Y, divide( X, Z ) ) ) ] )
% 4.76/5.15 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 4.76/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1129, [ =( multiply( divide( Y, X ), Z ), divide( multiply( Z, Y )
% 4.76/5.15 , X ) ) ] )
% 4.76/5.15 , clause( 87, [ =( multiply( inverse( X ), Y ), divide( Y, X ) ) ] )
% 4.76/5.15 , 0, clause( 1128, [ =( multiply( multiply( inverse( X ), Y ), Z ), divide(
% 4.76/5.15 multiply( Z, Y ), X ) ) ] )
% 4.76/5.15 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.76/5.15 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1130, [ =( divide( Z, divide( Y, X ) ), divide( multiply( Z, X ), Y
% 4.76/5.15 ) ) ] )
% 4.76/5.15 , clause( 88, [ =( multiply( divide( Y, X ), Z ), divide( Z, divide( X, Y )
% 4.76/5.15 ) ) ] )
% 4.76/5.15 , 0, clause( 1129, [ =( multiply( divide( Y, X ), Z ), divide( multiply( Z
% 4.76/5.15 , Y ), X ) ) ] )
% 4.76/5.15 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 4.76/5.15 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1131, [ =( divide( multiply( Z, X ), Y ), divide( multiply( X, Z )
% 4.76/5.15 , Y ) ) ] )
% 4.76/5.15 , clause( 120, [ =( divide( Z, divide( Y, X ) ), divide( multiply( X, Z ),
% 4.76/5.15 Y ) ) ] )
% 4.76/5.15 , 0, clause( 1130, [ =( divide( Z, divide( Y, X ) ), divide( multiply( Z, X
% 4.76/5.15 ), Y ) ) ] )
% 4.76/5.15 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 4.76/5.15 substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 131, [ =( divide( multiply( Y, Z ), X ), divide( multiply( Z, Y ),
% 4.76/5.15 X ) ) ] )
% 4.76/5.15 , clause( 1131, [ =( divide( multiply( Z, X ), Y ), divide( multiply( X, Z
% 4.76/5.15 ), Y ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 4.76/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1132, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1134, [ =( multiply( multiply( X, Y ), Z ), divide( multiply( Y, X
% 4.76/5.15 ), inverse( Z ) ) ) ] )
% 4.76/5.15 , clause( 131, [ =( divide( multiply( Y, Z ), X ), divide( multiply( Z, Y )
% 4.76/5.15 , X ) ) ] )
% 4.76/5.15 , 0, clause( 1132, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.76/5.15 , 0, 6, substitution( 0, [ :=( X, inverse( Z ) ), :=( Y, X ), :=( Z, Y )] )
% 4.76/5.15 , substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1136, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( Y,
% 4.76/5.15 X ), Z ) ) ] )
% 4.76/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, clause( 1134, [ =( multiply( multiply( X, Y ), Z ), divide( multiply(
% 4.76/5.15 Y, X ), inverse( Z ) ) ) ] )
% 4.76/5.15 , 0, 6, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, Z )] ),
% 4.76/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 136, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X, Y
% 4.76/5.15 ), Z ) ) ] )
% 4.76/5.15 , clause( 1136, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( Y
% 4.76/5.15 , X ), Z ) ) ] )
% 4.76/5.15 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 4.76/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1141, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply(
% 4.76/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , clause( 124, [ =( multiply( Z, multiply( Y, X ) ), multiply( multiply( Y
% 4.76/5.15 , Z ), X ) ) ] )
% 4.76/5.15 , 0, clause( 105, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.76/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , 0, 2, substitution( 0, [ :=( X, c3 ), :=( Y, b3 ), :=( Z, a3 )] ),
% 4.76/5.15 substitution( 1, [] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1142, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 4.76/5.15 multiply( b3, a3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , clause( 1141, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply(
% 4.76/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 795, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 4.76/5.15 multiply( multiply( a3, b3 ), c3 ), multiply( multiply( b3, a3 ), c3 ) )
% 4.76/5.15 ) ] )
% 4.76/5.15 , clause( 1142, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 4.76/5.15 multiply( b3, a3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1145, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 4.76/5.15 multiply( multiply( a3, b3 ), c3 ), multiply( multiply( b3, a3 ), c3 ) )
% 4.76/5.15 ) ] )
% 4.76/5.15 , clause( 795, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 4.76/5.15 multiply( multiply( a3, b3 ), c3 ), multiply( multiply( b3, a3 ), c3 ) )
% 4.76/5.15 ) ] )
% 4.76/5.15 , 0, substitution( 0, [] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1149, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 4.76/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , clause( 136, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X
% 4.76/5.15 , Y ), Z ) ) ] )
% 4.76/5.15 , 0, clause( 1145, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~(
% 4.76/5.15 =( multiply( multiply( a3, b3 ), c3 ), multiply( multiply( b3, a3 ), c3 )
% 4.76/5.15 ) ) ] )
% 4.76/5.15 , 1, 7, substitution( 0, [ :=( X, a3 ), :=( Y, b3 ), :=( Z, c3 )] ),
% 4.76/5.15 substitution( 1, [] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqrefl(
% 4.76/5.15 clause( 1152, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 4.76/5.15 , clause( 1149, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 4.76/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4
% 4.76/5.15 ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1153, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , clause( 1152, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 805, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , clause( 1153, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqswap(
% 4.76/5.15 clause( 1154, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 4.76/5.15 , clause( 805, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 paramod(
% 4.76/5.15 clause( 1156, [ ~( =( multiply( b4, a4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , clause( 59, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 4.76/5.15 , 0, clause( 1154, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 4.76/5.15 , 0, 5, substitution( 0, [ :=( X, b4 ), :=( Y, a4 )] ), substitution( 1, [] )
% 4.76/5.15 ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 eqrefl(
% 4.76/5.15 clause( 1159, [] )
% 4.76/5.15 , clause( 1156, [ ~( =( multiply( b4, a4 ), multiply( b4, a4 ) ) ) ] )
% 4.76/5.15 , 0, substitution( 0, [] )).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 subsumption(
% 4.76/5.15 clause( 807, [] )
% 4.76/5.15 , clause( 1159, [] )
% 4.76/5.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 end.
% 4.76/5.15
% 4.76/5.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.76/5.15
% 4.76/5.15 Memory use:
% 4.76/5.15
% 4.76/5.15 space for terms: 16228
% 4.76/5.15 space for clauses: 70251
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 clauses generated: 18230
% 4.76/5.15 clauses kept: 808
% 4.76/5.15 clauses selected: 96
% 4.76/5.15 clauses deleted: 91
% 4.76/5.15 clauses inuse deleted: 0
% 4.76/5.15
% 4.76/5.15 subsentry: 15652
% 4.76/5.15 literals s-matched: 13546
% 4.76/5.15 literals matched: 13542
% 4.76/5.15 full subsumption: 0
% 4.76/5.15
% 4.76/5.15 checksum: 801466582
% 4.76/5.15
% 4.76/5.15
% 4.76/5.15 Bliksem ended
%------------------------------------------------------------------------------