%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP095-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 07:34:50 EDT 2022
% Result : Unsatisfiable 5.01s 5.45s
% Output : Refutation 5.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP095-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jun 14 12:10:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.01/5.45 *** allocated 10000 integers for termspace/termends
% 5.01/5.45 *** allocated 10000 integers for clauses
% 5.01/5.45 *** allocated 10000 integers for justifications
% 5.01/5.45 Bliksem 1.12
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 Automatic Strategy Selection
% 5.01/5.45
% 5.01/5.45 Clauses:
% 5.01/5.45 [
% 5.01/5.45 [ =( divide( divide( identity, X ), divide( divide( divide( Y, X ), Z )
% 5.01/5.45 , Y ) ), Z ) ],
% 5.01/5.45 [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ],
% 5.01/5.45 [ =( inverse( X ), divide( identity, X ) ) ],
% 5.01/5.45 [ =( identity, divide( X, X ) ) ],
% 5.01/5.45 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 5.01/5.45 , ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =(
% 5.01/5.45 multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, c3 ) ) )
% 5.01/5.45 ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ]
% 5.01/5.45 ] .
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 percentage equality = 1.000000, percentage horn = 1.000000
% 5.01/5.45 This is a pure equality problem
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 Options Used:
% 5.01/5.45
% 5.01/5.45 useres = 1
% 5.01/5.45 useparamod = 1
% 5.01/5.45 useeqrefl = 1
% 5.01/5.45 useeqfact = 1
% 5.01/5.45 usefactor = 1
% 5.01/5.45 usesimpsplitting = 0
% 5.01/5.45 usesimpdemod = 5
% 5.01/5.45 usesimpres = 3
% 5.01/5.45
% 5.01/5.45 resimpinuse = 1000
% 5.01/5.45 resimpclauses = 20000
% 5.01/5.45 substype = eqrewr
% 5.01/5.45 backwardsubs = 1
% 5.01/5.45 selectoldest = 5
% 5.01/5.45
% 5.01/5.45 litorderings [0] = split
% 5.01/5.45 litorderings [1] = extend the termordering, first sorting on arguments
% 5.01/5.45
% 5.01/5.45 termordering = kbo
% 5.01/5.45
% 5.01/5.45 litapriori = 0
% 5.01/5.45 termapriori = 1
% 5.01/5.45 litaposteriori = 0
% 5.01/5.45 termaposteriori = 0
% 5.01/5.45 demodaposteriori = 0
% 5.01/5.45 ordereqreflfact = 0
% 5.01/5.45
% 5.01/5.45 litselect = negord
% 5.01/5.45
% 5.01/5.45 maxweight = 15
% 5.01/5.45 maxdepth = 30000
% 5.01/5.45 maxlength = 115
% 5.01/5.45 maxnrvars = 195
% 5.01/5.45 excuselevel = 1
% 5.01/5.45 increasemaxweight = 1
% 5.01/5.45
% 5.01/5.45 maxselected = 10000000
% 5.01/5.45 maxnrclauses = 10000000
% 5.01/5.45
% 5.01/5.45 showgenerated = 0
% 5.01/5.45 showkept = 0
% 5.01/5.45 showselected = 0
% 5.01/5.45 showdeleted = 0
% 5.01/5.45 showresimp = 1
% 5.01/5.45 showstatus = 2000
% 5.01/5.45
% 5.01/5.45 prologoutput = 1
% 5.01/5.45 nrgoals = 5000000
% 5.01/5.45 totalproof = 1
% 5.01/5.45
% 5.01/5.45 Symbols occurring in the translation:
% 5.01/5.45
% 5.01/5.45 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.01/5.45 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 5.01/5.45 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 5.01/5.45 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.01/5.45 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.01/5.45 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 5.01/5.45 divide [41, 2] (w:1, o:53, a:1, s:1, b:0),
% 5.01/5.45 multiply [44, 2] (w:1, o:54, a:1, s:1, b:0),
% 5.01/5.45 inverse [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 5.01/5.45 a1 [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 5.01/5.45 b1 [47, 0] (w:1, o:17, a:1, s:1, b:0),
% 5.01/5.45 b2 [48, 0] (w:1, o:18, a:1, s:1, b:0),
% 5.01/5.45 a2 [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 5.01/5.45 a3 [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 5.01/5.45 b3 [51, 0] (w:1, o:19, a:1, s:1, b:0),
% 5.01/5.45 c3 [52, 0] (w:1, o:21, a:1, s:1, b:0),
% 5.01/5.45 a4 [53, 0] (w:1, o:16, a:1, s:1, b:0),
% 5.01/5.45 b4 [54, 0] (w:1, o:20, a:1, s:1, b:0).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 Starting Search:
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Failed to find proof!
% 5.01/5.45 maxweight = 15
% 5.01/5.45 maxnrclauses = 10000000
% 5.01/5.45 Generated: 13651
% 5.01/5.45 Kept: 184
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 The strategy used was not complete!
% 5.01/5.45
% 5.01/5.45 Increased maxweight to 16
% 5.01/5.45
% 5.01/5.45 Starting Search:
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Failed to find proof!
% 5.01/5.45 maxweight = 16
% 5.01/5.45 maxnrclauses = 10000000
% 5.01/5.45 Generated: 14160
% 5.01/5.45 Kept: 188
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 The strategy used was not complete!
% 5.01/5.45
% 5.01/5.45 Increased maxweight to 17
% 5.01/5.45
% 5.01/5.45 Starting Search:
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Failed to find proof!
% 5.01/5.45 maxweight = 17
% 5.01/5.45 maxnrclauses = 10000000
% 5.01/5.45 Generated: 20735
% 5.01/5.45 Kept: 208
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 The strategy used was not complete!
% 5.01/5.45
% 5.01/5.45 Increased maxweight to 18
% 5.01/5.45
% 5.01/5.45 Starting Search:
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Failed to find proof!
% 5.01/5.45 maxweight = 18
% 5.01/5.45 maxnrclauses = 10000000
% 5.01/5.45 Generated: 20735
% 5.01/5.45 Kept: 208
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 The strategy used was not complete!
% 5.01/5.45
% 5.01/5.45 Increased maxweight to 19
% 5.01/5.45
% 5.01/5.45 Starting Search:
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Failed to find proof!
% 5.01/5.45 maxweight = 19
% 5.01/5.45 maxnrclauses = 10000000
% 5.01/5.45 Generated: 209922
% 5.01/5.45 Kept: 327
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 The strategy used was not complete!
% 5.01/5.45
% 5.01/5.45 Increased maxweight to 20
% 5.01/5.45
% 5.01/5.45 Starting Search:
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Failed to find proof!
% 5.01/5.45 maxweight = 20
% 5.01/5.45 maxnrclauses = 10000000
% 5.01/5.45 Generated: 210457
% 5.01/5.45 Kept: 330
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 The strategy used was not complete!
% 5.01/5.45
% 5.01/5.45 Increased maxweight to 21
% 5.01/5.45
% 5.01/5.45 Starting Search:
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Failed to find proof!
% 5.01/5.45 maxweight = 21
% 5.01/5.45 maxnrclauses = 10000000
% 5.01/5.45 Generated: 343601
% 5.01/5.45 Kept: 398
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 The strategy used was not complete!
% 5.01/5.45
% 5.01/5.45 Increased maxweight to 22
% 5.01/5.45
% 5.01/5.45 Starting Search:
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Resimplifying inuse:
% 5.01/5.45 Done
% 5.01/5.45
% 5.01/5.45 Failed to find proof!
% 5.01/5.45 maxweight = 22
% 5.01/5.45 maxnrclauses = 10000000
% 5.01/5.45 Generated: 343601
% 5.01/5.45 Kept: 398
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 The strategy used was not complete!
% 5.01/5.45
% 5.01/5.45 Increased maxweight to 23
% 5.01/5.45
% 5.01/5.45 Starting Search:
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 Bliksems!, er is een bewijs:
% 5.01/5.45 % SZS status Unsatisfiable
% 5.01/5.45 % SZS output start Refutation
% 5.01/5.45
% 5.01/5.45 clause( 0, [ =( divide( divide( identity, X ), divide( divide( divide( Y, X
% 5.01/5.45 ), Z ), Y ) ), Z ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 3, [ =( divide( X, X ), identity ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 4, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 5.01/5.45 a1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 5.01/5.45 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 5.01/5.45 c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 5, [ =( inverse( identity ), identity ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 10, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z )
% 5.01/5.45 , Y ) ), Z ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 11, [ =( divide( inverse( divide( divide( divide( Y, X ), Z ), Y )
% 5.01/5.45 ), multiply( divide( Z, T ), X ) ), T ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 12, [ =( divide( inverse( Y ), multiply( divide( divide( inverse( X
% 5.01/5.45 ), Y ), Z ), X ) ), Z ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 17, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 19, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 5.01/5.45 a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~(
% 5.01/5.45 =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 20, [ =( divide( inverse( X ), identity ), inverse( X ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 21, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 22, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 25, [ =( inverse( divide( divide( inverse( inverse( X ) ), Y ), X )
% 5.01/5.45 ), Y ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 26, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 29, [ =( divide( Y, divide( Y, Z ) ), Z ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 44, [ =( divide( inverse( Y ), divide( Z, X ) ), divide( divide( X
% 5.01/5.45 , Y ), Z ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 46, [ =( divide( X, multiply( X, Y ) ), inverse( Y ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 47, [ =( inverse( inverse( X ) ), X ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 48, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 50, [ =( divide( X, multiply( Y, X ) ), inverse( Y ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 58, [ =( multiply( divide( Y, X ), X ), Y ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 60, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 62, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 65, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 70, [ =( multiply( divide( Y, X ), Z ), divide( Z, divide( X, Y ) )
% 5.01/5.45 ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 73, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) ) ]
% 5.01/5.45 )
% 5.01/5.45 .
% 5.01/5.45 clause( 77, [ =( inverse( multiply( X, Y ) ), inverse( multiply( Y, X ) ) )
% 5.01/5.45 ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 78, [ =( divide( Z, multiply( Y, X ) ), divide( Z, multiply( X, Y )
% 5.01/5.45 ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 87, [ =( divide( multiply( Z, Y ), X ), divide( multiply( Y, Z ), X
% 5.01/5.45 ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 97, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X, Y
% 5.01/5.45 ), Z ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 126, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 5.01/5.45 a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 129, [ =( divide( divide( X, Z ), Y ), divide( divide( X, Y ), Z )
% 5.01/5.45 ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 152, [ =( divide( Z, divide( Y, X ) ), divide( multiply( X, Z ), Y
% 5.01/5.45 ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 157, [ =( multiply( Z, multiply( Y, X ) ), multiply( multiply( Y, Z
% 5.01/5.45 ), X ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 816, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 5.01/5.45 multiply( multiply( a3, b3 ), c3 ), multiply( multiply( b3, a3 ), c3 ) )
% 5.01/5.45 ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 828, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.01/5.45 .
% 5.01/5.45 clause( 830, [] )
% 5.01/5.45 .
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 % SZS output end Refutation
% 5.01/5.45 found a proof!
% 5.01/5.45
% 5.01/5.45 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.01/5.45
% 5.01/5.45 initialclauses(
% 5.01/5.45 [ clause( 832, [ =( divide( divide( identity, X ), divide( divide( divide(
% 5.01/5.45 Y, X ), Z ), Y ) ), Z ) ] )
% 5.01/5.45 , clause( 833, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) )
% 5.01/5.45 ] )
% 5.01/5.45 , clause( 834, [ =( inverse( X ), divide( identity, X ) ) ] )
% 5.01/5.45 , clause( 835, [ =( identity, divide( X, X ) ) ] )
% 5.01/5.45 , clause( 836, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 5.01/5.45 ), b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 5.01/5.45 , ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 5.01/5.45 c3 ) ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.01/5.45 ] ).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 subsumption(
% 5.01/5.45 clause( 0, [ =( divide( divide( identity, X ), divide( divide( divide( Y, X
% 5.01/5.45 ), Z ), Y ) ), Z ) ] )
% 5.01/5.45 , clause( 832, [ =( divide( divide( identity, X ), divide( divide( divide(
% 5.01/5.45 Y, X ), Z ), Y ) ), Z ) ] )
% 5.01/5.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.01/5.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 839, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 5.01/5.45 )
% 5.01/5.45 , clause( 833, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) )
% 5.01/5.45 ] )
% 5.01/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 subsumption(
% 5.01/5.45 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 5.01/5.45 , clause( 839, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 5.01/5.45 ] )
% 5.01/5.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.01/5.45 )] ) ).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 842, [ =( divide( identity, X ), inverse( X ) ) ] )
% 5.01/5.45 , clause( 834, [ =( inverse( X ), divide( identity, X ) ) ] )
% 5.01/5.45 , 0, substitution( 0, [ :=( X, X )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 subsumption(
% 5.01/5.45 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 5.01/5.45 , clause( 842, [ =( divide( identity, X ), inverse( X ) ) ] )
% 5.01/5.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 846, [ =( divide( X, X ), identity ) ] )
% 5.01/5.45 , clause( 835, [ =( identity, divide( X, X ) ) ] )
% 5.01/5.45 , 0, substitution( 0, [ :=( X, X )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 subsumption(
% 5.01/5.45 clause( 3, [ =( divide( X, X ), identity ) ] )
% 5.01/5.45 , clause( 846, [ =( divide( X, X ), identity ) ] )
% 5.01/5.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 854, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 5.01/5.45 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~( =(
% 5.01/5.45 multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =( multiply(
% 5.01/5.45 multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 5.01/5.45 , clause( 836, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 5.01/5.45 ), b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 5.01/5.45 , ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 5.01/5.45 c3 ) ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.01/5.45 , 3, substitution( 0, [] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 857, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 5.01/5.45 a3, b3 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~(
% 5.01/5.45 =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~(
% 5.01/5.45 =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ] )
% 5.01/5.45 , clause( 854, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 5.01/5.45 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~( =(
% 5.01/5.45 multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =( multiply(
% 5.01/5.45 multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 5.01/5.45 , 3, substitution( 0, [] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 859, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 5.01/5.45 , ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 )
% 5.01/5.45 , c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 5.01/5.45 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ) ] )
% 5.01/5.45 , clause( 857, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 5.01/5.45 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4
% 5.01/5.45 ) ) ), ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1
% 5.01/5.45 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ] )
% 5.01/5.45 , 3, substitution( 0, [] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 861, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 5.01/5.45 , a1 ) ) ), ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ),
% 5.01/5.45 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 5.01/5.45 c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 5.01/5.45 , clause( 859, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) )
% 5.01/5.45 ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3
% 5.01/5.45 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 5.01/5.45 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ) ] )
% 5.01/5.45 , 3, substitution( 0, [] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 863, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 5.01/5.45 multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =(
% 5.01/5.45 a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ), ~( =( multiply( a3
% 5.01/5.45 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 5.01/5.45 , clause( 861, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 5.01/5.45 ), a1 ) ) ), ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 5.01/5.45 , ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 )
% 5.01/5.45 , c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 5.01/5.45 , 3, substitution( 0, [] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 864, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 5.01/5.45 , ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =( multiply(
% 5.01/5.45 inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply(
% 5.01/5.45 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 5.01/5.45 , clause( 863, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 5.01/5.45 multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =(
% 5.01/5.45 a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ), ~( =( multiply( a3
% 5.01/5.45 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 5.01/5.45 , 2, substitution( 0, [] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 subsumption(
% 5.01/5.45 clause( 4, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 5.01/5.45 a1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 5.01/5.45 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 5.01/5.45 c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.01/5.45 , clause( 864, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 5.01/5.45 ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =( multiply(
% 5.01/5.45 inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply(
% 5.01/5.45 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 5.01/5.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 3 ), ==>( 2
% 5.01/5.45 , 0 ), ==>( 3, 2 )] ) ).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 866, [ =( inverse( X ), divide( identity, X ) ) ] )
% 5.01/5.45 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 5.01/5.45 , 0, substitution( 0, [ :=( X, X )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 paramod(
% 5.01/5.45 clause( 868, [ =( inverse( identity ), identity ) ] )
% 5.01/5.45 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 5.01/5.45 , 0, clause( 866, [ =( inverse( X ), divide( identity, X ) ) ] )
% 5.01/5.45 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 5.01/5.45 identity )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 subsumption(
% 5.01/5.45 clause( 5, [ =( inverse( identity ), identity ) ] )
% 5.01/5.45 , clause( 868, [ =( inverse( identity ), identity ) ] )
% 5.01/5.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 paramod(
% 5.01/5.45 clause( 872, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.01/5.45 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 5.01/5.45 , 0, clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 5.01/5.45 ] )
% 5.01/5.45 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.01/5.45 :=( Y, Y )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 subsumption(
% 5.01/5.45 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.01/5.45 , clause( 872, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.01/5.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.01/5.45 )] ) ).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 875, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 5.01/5.45 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.01/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 paramod(
% 5.01/5.45 clause( 876, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 5.01/5.45 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 5.01/5.45 , 0, clause( 875, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 5.01/5.45 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 5.01/5.45 identity )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 subsumption(
% 5.01/5.45 clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 5.01/5.45 , clause( 876, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 5.01/5.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 878, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 5.01/5.45 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.01/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 paramod(
% 5.01/5.45 clause( 880, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 5.01/5.45 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 5.01/5.45 , 0, clause( 878, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 5.01/5.45 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 5.01/5.45 :=( X, identity ), :=( Y, X )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 subsumption(
% 5.01/5.45 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 5.01/5.45 , clause( 880, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 5.01/5.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 882, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 5.01/5.45 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.01/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 paramod(
% 5.01/5.45 clause( 884, [ =( multiply( inverse( X ), X ), identity ) ] )
% 5.01/5.45 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 5.01/5.45 , 0, clause( 882, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 5.01/5.45 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 5.01/5.45 :=( X, inverse( X ) ), :=( Y, X )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 subsumption(
% 5.01/5.45 clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 5.01/5.45 , clause( 884, [ =( multiply( inverse( X ), X ), identity ) ] )
% 5.01/5.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 paramod(
% 5.01/5.45 clause( 888, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z )
% 5.01/5.45 , Y ) ), Z ) ] )
% 5.01/5.45 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 5.01/5.45 , 0, clause( 0, [ =( divide( divide( identity, X ), divide( divide( divide(
% 5.01/5.45 Y, X ), Z ), Y ) ), Z ) ] )
% 5.01/5.45 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.01/5.45 :=( Y, Y ), :=( Z, Z )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 subsumption(
% 5.01/5.45 clause( 10, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z )
% 5.01/5.45 , Y ) ), Z ) ] )
% 5.01/5.45 , clause( 888, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z
% 5.01/5.45 ), Y ) ), Z ) ] )
% 5.01/5.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.01/5.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 890, [ =( Z, divide( inverse( X ), divide( divide( divide( Y, X ),
% 5.01/5.45 Z ), Y ) ) ) ] )
% 5.01/5.45 , clause( 10, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z
% 5.01/5.45 ), Y ) ), Z ) ] )
% 5.01/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 paramod(
% 5.01/5.45 clause( 894, [ =( X, divide( inverse( divide( divide( divide( Y, Z ), T ),
% 5.01/5.45 Y ) ), divide( divide( T, X ), inverse( Z ) ) ) ) ] )
% 5.01/5.45 , clause( 10, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z
% 5.01/5.45 ), Y ) ), Z ) ] )
% 5.01/5.45 , 0, clause( 890, [ =( Z, divide( inverse( X ), divide( divide( divide( Y,
% 5.01/5.45 X ), Z ), Y ) ) ) ] )
% 5.01/5.45 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T )] ),
% 5.01/5.45 substitution( 1, [ :=( X, divide( divide( divide( Y, Z ), T ), Y ) ),
% 5.01/5.45 :=( Y, inverse( Z ) ), :=( Z, X )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 paramod(
% 5.01/5.45 clause( 895, [ =( X, divide( inverse( divide( divide( divide( Y, Z ), T ),
% 5.01/5.45 Y ) ), multiply( divide( T, X ), Z ) ) ) ] )
% 5.01/5.45 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.01/5.45 , 0, clause( 894, [ =( X, divide( inverse( divide( divide( divide( Y, Z ),
% 5.01/5.45 T ), Y ) ), divide( divide( T, X ), inverse( Z ) ) ) ) ] )
% 5.01/5.45 , 0, 11, substitution( 0, [ :=( X, divide( T, X ) ), :=( Y, Z )] ),
% 5.01/5.45 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 896, [ =( divide( inverse( divide( divide( divide( Y, Z ), T ), Y )
% 5.01/5.45 ), multiply( divide( T, X ), Z ) ), X ) ] )
% 5.01/5.45 , clause( 895, [ =( X, divide( inverse( divide( divide( divide( Y, Z ), T )
% 5.01/5.45 , Y ) ), multiply( divide( T, X ), Z ) ) ) ] )
% 5.01/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 5.01/5.45 ).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 subsumption(
% 5.01/5.45 clause( 11, [ =( divide( inverse( divide( divide( divide( Y, X ), Z ), Y )
% 5.01/5.45 ), multiply( divide( Z, T ), X ) ), T ) ] )
% 5.01/5.45 , clause( 896, [ =( divide( inverse( divide( divide( divide( Y, Z ), T ), Y
% 5.01/5.45 ) ), multiply( divide( T, X ), Z ) ), X ) ] )
% 5.01/5.45 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] ),
% 5.01/5.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 898, [ =( Z, divide( inverse( X ), divide( divide( divide( Y, X ),
% 5.01/5.45 Z ), Y ) ) ) ] )
% 5.01/5.45 , clause( 10, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z
% 5.01/5.45 ), Y ) ), Z ) ] )
% 5.01/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 paramod(
% 5.01/5.45 clause( 899, [ =( X, divide( inverse( Y ), multiply( divide( divide(
% 5.01/5.45 inverse( Z ), Y ), X ), Z ) ) ) ] )
% 5.01/5.45 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.01/5.45 , 0, clause( 898, [ =( Z, divide( inverse( X ), divide( divide( divide( Y,
% 5.01/5.45 X ), Z ), Y ) ) ) ] )
% 5.01/5.45 , 0, 5, substitution( 0, [ :=( X, divide( divide( inverse( Z ), Y ), X ) )
% 5.01/5.45 , :=( Y, Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, inverse( Z ) ),
% 5.01/5.45 :=( Z, X )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 902, [ =( divide( inverse( Y ), multiply( divide( divide( inverse(
% 5.01/5.45 Z ), Y ), X ), Z ) ), X ) ] )
% 5.01/5.45 , clause( 899, [ =( X, divide( inverse( Y ), multiply( divide( divide(
% 5.01/5.45 inverse( Z ), Y ), X ), Z ) ) ) ] )
% 5.01/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 subsumption(
% 5.01/5.45 clause( 12, [ =( divide( inverse( Y ), multiply( divide( divide( inverse( X
% 5.01/5.45 ), Y ), Z ), X ) ), Z ) ] )
% 5.01/5.45 , clause( 902, [ =( divide( inverse( Y ), multiply( divide( divide( inverse(
% 5.01/5.45 Z ), Y ), X ), Z ) ), X ) ] )
% 5.01/5.45 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 5.01/5.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 eqswap(
% 5.01/5.45 clause( 906, [ =( Z, divide( inverse( X ), divide( divide( divide( Y, X ),
% 5.01/5.45 Z ), Y ) ) ) ] )
% 5.01/5.45 , clause( 10, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z
% 5.01/5.45 ), Y ) ), Z ) ] )
% 5.01/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 paramod(
% 5.01/5.45 clause( 909, [ =( divide( X, Y ), divide( inverse( Y ), divide( identity, X
% 5.01/5.45 ) ) ) ] )
% 5.01/5.45 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 5.01/5.45 , 0, clause( 906, [ =( Z, divide( inverse( X ), divide( divide( divide( Y,
% 5.01/5.45 X ), Z ), Y ) ) ) ] )
% 5.01/5.45 , 0, 8, substitution( 0, [ :=( X, divide( X, Y ) )] ), substitution( 1, [
% 5.01/5.45 :=( X, Y ), :=( Y, X ), :=( Z, divide( X, Y ) )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 paramod(
% 5.01/5.45 clause( 912, [ =( divide( X, Y ), divide( inverse( Y ), inverse( X ) ) ) ]
% 5.01/5.45 )
% 5.01/5.45 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 5.01/5.45 , 0, clause( 909, [ =( divide( X, Y ), divide( inverse( Y ), divide(
% 5.01/5.45 identity, X ) ) ) ] )
% 5.01/5.45 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 5.01/5.45 :=( Y, Y )] )).
% 5.01/5.45
% 5.01/5.45
% 5.01/5.45 paramod(
% 5.01/5.45 clause( 913, [ =( divide( X, Y ), multiply( inverse( Y ), X ) ) ] )
% 5.01/5.45 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.01/5.45 , 0, clause( 912, [ =( divide( X, Y ), divide( inverse( Y ), inverse( X ) )
% 5.09/5.45 ) ] )
% 5.09/5.45 , 0, 4, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ),
% 5.09/5.45 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 914, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 5.09/5.45 , clause( 913, [ =( divide( X, Y ), multiply( inverse( Y ), X ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 17, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 5.09/5.45 , clause( 914, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.45 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 936, [ ~( =( multiply( identity, a2 ), a2 ) ), ~( =( multiply(
% 5.09/5.45 inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply(
% 5.09/5.45 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =(
% 5.09/5.45 multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.09/5.45 , clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 5.09/5.45 , 0, clause( 4, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse(
% 5.09/5.45 a1 ), a1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 5.09/5.45 ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3
% 5.09/5.45 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.09/5.45 , 1, 3, substitution( 0, [ :=( X, b2 )] ), substitution( 1, [] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 942, [ ~( =( multiply( inverse( b1 ), b1 ), identity ) ), ~( =(
% 5.09/5.45 multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 5.09/5.45 ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ),
% 5.09/5.45 multiply( b4, a4 ) ) ) ] )
% 5.09/5.45 , clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 5.09/5.45 , 0, clause( 936, [ ~( =( multiply( identity, a2 ), a2 ) ), ~( =( multiply(
% 5.09/5.45 inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply(
% 5.09/5.45 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =(
% 5.09/5.45 multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.09/5.45 , 1, 6, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 944, [ ~( =( identity, identity ) ), ~( =( multiply( identity, a2 )
% 5.09/5.45 , a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 5.09/5.45 a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.09/5.45 , clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 5.09/5.45 , 0, clause( 942, [ ~( =( multiply( inverse( b1 ), b1 ), identity ) ), ~(
% 5.09/5.45 =( multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3
% 5.09/5.45 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ),
% 5.09/5.45 multiply( b4, a4 ) ) ) ] )
% 5.09/5.45 , 0, 2, substitution( 0, [ :=( X, b1 )] ), substitution( 1, [] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 945, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( identity,
% 5.09/5.45 identity ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 5.09/5.45 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 5.09/5.45 ) ) ) ] )
% 5.09/5.45 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 5.09/5.45 , 0, clause( 944, [ ~( =( identity, identity ) ), ~( =( multiply( identity
% 5.09/5.45 , a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 5.09/5.45 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 5.09/5.45 ) ) ) ] )
% 5.09/5.45 , 1, 2, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqrefl(
% 5.09/5.45 clause( 946, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( multiply( a3,
% 5.09/5.45 multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =(
% 5.09/5.45 multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.09/5.45 , clause( 945, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( identity,
% 5.09/5.45 identity ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 5.09/5.45 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 5.09/5.45 ) ) ) ] )
% 5.09/5.45 , 1, substitution( 0, [] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 19, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 5.09/5.45 a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~(
% 5.09/5.45 =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 5.09/5.45 , clause( 946, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( multiply( a3
% 5.09/5.45 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =(
% 5.09/5.45 multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.09/5.45 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 5.09/5.45 , 1 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 954, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 5.09/5.45 , clause( 17, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 957, [ =( divide( identity, X ), divide( inverse( X ), identity ) )
% 5.09/5.45 ] )
% 5.09/5.45 , clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 5.09/5.45 , 0, clause( 954, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 5.09/5.45 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 5.09/5.45 :=( X, X ), :=( Y, identity )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 958, [ =( inverse( X ), divide( inverse( X ), identity ) ) ] )
% 5.09/5.45 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 5.09/5.45 , 0, clause( 957, [ =( divide( identity, X ), divide( inverse( X ),
% 5.09/5.45 identity ) ) ] )
% 5.09/5.45 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.09/5.45 ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 959, [ =( divide( inverse( X ), identity ), inverse( X ) ) ] )
% 5.09/5.45 , clause( 958, [ =( inverse( X ), divide( inverse( X ), identity ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 20, [ =( divide( inverse( X ), identity ), inverse( X ) ) ] )
% 5.09/5.45 , clause( 959, [ =( divide( inverse( X ), identity ), inverse( X ) ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 961, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 5.09/5.45 , clause( 17, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 963, [ =( divide( X, identity ), multiply( identity, X ) ) ] )
% 5.09/5.45 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 5.09/5.45 , 0, clause( 961, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 5.09/5.45 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 5.09/5.45 , X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 964, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ] )
% 5.09/5.45 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 5.09/5.45 , 0, clause( 963, [ =( divide( X, identity ), multiply( identity, X ) ) ]
% 5.09/5.45 )
% 5.09/5.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 5.09/5.45 ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 21, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ] )
% 5.09/5.45 , clause( 964, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 968, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 5.09/5.45 , clause( 21, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ] )
% 5.09/5.45 , 0, clause( 20, [ =( divide( inverse( X ), identity ), inverse( X ) ) ] )
% 5.09/5.45 , 0, 1, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 5.09/5.45 :=( X, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 22, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 5.09/5.45 , clause( 968, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 971, [ =( Z, divide( inverse( X ), divide( divide( divide( Y, X ),
% 5.09/5.45 Z ), Y ) ) ) ] )
% 5.09/5.45 , clause( 10, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z
% 5.09/5.45 ), Y ) ), Z ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 976, [ =( X, divide( inverse( identity ), divide( divide( inverse(
% 5.09/5.45 inverse( Y ) ), X ), Y ) ) ) ] )
% 5.09/5.45 , clause( 21, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ] )
% 5.09/5.45 , 0, clause( 971, [ =( Z, divide( inverse( X ), divide( divide( divide( Y,
% 5.09/5.45 X ), Z ), Y ) ) ) ] )
% 5.09/5.45 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 5.09/5.45 identity ), :=( Y, Y ), :=( Z, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 977, [ =( X, divide( identity, divide( divide( inverse( inverse( Y
% 5.09/5.45 ) ), X ), Y ) ) ) ] )
% 5.09/5.45 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 5.09/5.45 , 0, clause( 976, [ =( X, divide( inverse( identity ), divide( divide(
% 5.09/5.45 inverse( inverse( Y ) ), X ), Y ) ) ) ] )
% 5.09/5.45 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 5.09/5.45 ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 978, [ =( X, inverse( divide( divide( inverse( inverse( Y ) ), X )
% 5.09/5.45 , Y ) ) ) ] )
% 5.09/5.45 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 5.09/5.45 , 0, clause( 977, [ =( X, divide( identity, divide( divide( inverse(
% 5.09/5.45 inverse( Y ) ), X ), Y ) ) ) ] )
% 5.09/5.45 , 0, 2, substitution( 0, [ :=( X, divide( divide( inverse( inverse( Y ) ),
% 5.09/5.45 X ), Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 979, [ =( inverse( divide( divide( inverse( inverse( Y ) ), X ), Y
% 5.09/5.45 ) ), X ) ] )
% 5.09/5.45 , clause( 978, [ =( X, inverse( divide( divide( inverse( inverse( Y ) ), X
% 5.09/5.45 ), Y ) ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 25, [ =( inverse( divide( divide( inverse( inverse( X ) ), Y ), X )
% 5.09/5.45 ), Y ) ] )
% 5.09/5.45 , clause( 979, [ =( inverse( divide( divide( inverse( inverse( Y ) ), X ),
% 5.09/5.45 Y ) ), X ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.45 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 981, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 5.09/5.45 , clause( 17, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 984, [ =( divide( X, inverse( inverse( Y ) ) ), multiply( inverse(
% 5.09/5.45 Y ), X ) ) ] )
% 5.09/5.45 , clause( 22, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 5.09/5.45 , 0, clause( 981, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 5.09/5.45 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 5.09/5.45 inverse( Y ) ) ), :=( Y, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 985, [ =( divide( X, inverse( inverse( Y ) ) ), divide( X, Y ) ) ]
% 5.09/5.45 )
% 5.09/5.45 , clause( 17, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 5.09/5.45 , 0, clause( 984, [ =( divide( X, inverse( inverse( Y ) ) ), multiply(
% 5.09/5.45 inverse( Y ), X ) ) ] )
% 5.09/5.45 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.09/5.45 :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 986, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 5.09/5.45 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.09/5.45 , 0, clause( 985, [ =( divide( X, inverse( inverse( Y ) ) ), divide( X, Y )
% 5.09/5.45 ) ] )
% 5.09/5.45 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, inverse( Y ) )] ),
% 5.09/5.45 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 26, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 5.09/5.45 , clause( 986, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.45 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 989, [ =( T, divide( inverse( divide( divide( divide( X, Y ), Z ),
% 5.09/5.45 X ) ), multiply( divide( Z, T ), Y ) ) ) ] )
% 5.09/5.45 , clause( 11, [ =( divide( inverse( divide( divide( divide( Y, X ), Z ), Y
% 5.09/5.45 ) ), multiply( divide( Z, T ), X ) ), T ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 5.09/5.45 ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 997, [ =( X, divide( inverse( divide( divide( inverse( inverse( Y )
% 5.09/5.45 ), Z ), Y ) ), multiply( divide( Z, X ), identity ) ) ) ] )
% 5.09/5.45 , clause( 21, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ] )
% 5.09/5.45 , 0, clause( 989, [ =( T, divide( inverse( divide( divide( divide( X, Y ),
% 5.09/5.45 Z ), X ) ), multiply( divide( Z, T ), Y ) ) ) ] )
% 5.09/5.45 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 5.09/5.45 :=( Y, identity ), :=( Z, Z ), :=( T, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 999, [ =( X, divide( Z, multiply( divide( Z, X ), identity ) ) ) ]
% 5.09/5.45 )
% 5.09/5.45 , clause( 25, [ =( inverse( divide( divide( inverse( inverse( X ) ), Y ), X
% 5.09/5.45 ) ), Y ) ] )
% 5.09/5.45 , 0, clause( 997, [ =( X, divide( inverse( divide( divide( inverse( inverse(
% 5.09/5.45 Y ) ), Z ), Y ) ), multiply( divide( Z, X ), identity ) ) ) ] )
% 5.09/5.45 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 5.09/5.45 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1000, [ =( X, divide( Y, divide( divide( Y, X ), identity ) ) ) ]
% 5.09/5.45 )
% 5.09/5.45 , clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 5.09/5.45 , 0, clause( 999, [ =( X, divide( Z, multiply( divide( Z, X ), identity ) )
% 5.09/5.45 ) ] )
% 5.09/5.45 , 0, 4, substitution( 0, [ :=( X, divide( Y, X ) )] ), substitution( 1, [
% 5.09/5.45 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1001, [ =( X, divide( Y, inverse( inverse( divide( Y, X ) ) ) ) ) ]
% 5.09/5.45 )
% 5.09/5.45 , clause( 21, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ] )
% 5.09/5.45 , 0, clause( 1000, [ =( X, divide( Y, divide( divide( Y, X ), identity ) )
% 5.09/5.45 ) ] )
% 5.09/5.45 , 0, 4, substitution( 0, [ :=( X, divide( Y, X ) )] ), substitution( 1, [
% 5.09/5.45 :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1002, [ =( X, multiply( Y, inverse( divide( Y, X ) ) ) ) ] )
% 5.09/5.45 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.09/5.45 , 0, clause( 1001, [ =( X, divide( Y, inverse( inverse( divide( Y, X ) ) )
% 5.09/5.45 ) ) ] )
% 5.09/5.45 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, inverse( divide( Y, X ) ) )] )
% 5.09/5.45 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1003, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 5.09/5.45 , clause( 26, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 5.09/5.45 , 0, clause( 1002, [ =( X, multiply( Y, inverse( divide( Y, X ) ) ) ) ] )
% 5.09/5.45 , 0, 2, substitution( 0, [ :=( X, divide( Y, X ) ), :=( Y, Y )] ),
% 5.09/5.45 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1004, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 5.09/5.45 , clause( 1003, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 29, [ =( divide( Y, divide( Y, Z ) ), Z ) ] )
% 5.09/5.45 , clause( 1004, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.45 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1006, [ =( Z, divide( inverse( X ), divide( divide( divide( Y, X )
% 5.09/5.45 , Z ), Y ) ) ) ] )
% 5.09/5.45 , clause( 10, [ =( divide( inverse( X ), divide( divide( divide( Y, X ), Z
% 5.09/5.45 ), Y ) ), Z ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1009, [ =( divide( divide( X, Y ), Z ), divide( inverse( Y ),
% 5.09/5.45 divide( Z, X ) ) ) ] )
% 5.09/5.45 , clause( 29, [ =( divide( Y, divide( Y, Z ) ), Z ) ] )
% 5.09/5.45 , 0, clause( 1006, [ =( Z, divide( inverse( X ), divide( divide( divide( Y
% 5.09/5.45 , X ), Z ), Y ) ) ) ] )
% 5.09/5.45 , 0, 10, substitution( 0, [ :=( X, T ), :=( Y, divide( X, Y ) ), :=( Z, Z )] )
% 5.09/5.45 , substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, divide( divide( X, Y
% 5.09/5.45 ), Z ) )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1011, [ =( divide( inverse( Y ), divide( Z, X ) ), divide( divide(
% 5.09/5.45 X, Y ), Z ) ) ] )
% 5.09/5.45 , clause( 1009, [ =( divide( divide( X, Y ), Z ), divide( inverse( Y ),
% 5.09/5.45 divide( Z, X ) ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 44, [ =( divide( inverse( Y ), divide( Z, X ) ), divide( divide( X
% 5.09/5.45 , Y ), Z ) ) ] )
% 5.09/5.45 , clause( 1011, [ =( divide( inverse( Y ), divide( Z, X ) ), divide( divide(
% 5.09/5.45 X, Y ), Z ) ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1014, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 5.09/5.45 , clause( 29, [ =( divide( Y, divide( Y, Z ) ), Z ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1015, [ =( inverse( X ), divide( Y, multiply( Y, X ) ) ) ] )
% 5.09/5.45 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.09/5.45 , 0, clause( 1014, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 5.09/5.45 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.09/5.45 :=( X, Y ), :=( Y, inverse( X ) )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1016, [ =( divide( Y, multiply( Y, X ) ), inverse( X ) ) ] )
% 5.09/5.45 , clause( 1015, [ =( inverse( X ), divide( Y, multiply( Y, X ) ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 46, [ =( divide( X, multiply( X, Y ) ), inverse( Y ) ) ] )
% 5.09/5.45 , clause( 1016, [ =( divide( Y, multiply( Y, X ) ), inverse( X ) ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.45 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1017, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 5.09/5.45 , clause( 29, [ =( divide( Y, divide( Y, Z ) ), Z ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1021, [ =( X, divide( identity, inverse( X ) ) ) ] )
% 5.09/5.45 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 5.09/5.45 , 0, clause( 1017, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 5.09/5.45 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 5.09/5.45 identity ), :=( Y, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1023, [ =( X, inverse( inverse( X ) ) ) ] )
% 5.09/5.45 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 5.09/5.45 , 0, clause( 1021, [ =( X, divide( identity, inverse( X ) ) ) ] )
% 5.09/5.45 , 0, 2, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 5.09/5.45 :=( X, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1024, [ =( inverse( inverse( X ) ), X ) ] )
% 5.09/5.45 , clause( 1023, [ =( X, inverse( inverse( X ) ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 47, [ =( inverse( inverse( X ) ), X ) ] )
% 5.09/5.45 , clause( 1024, [ =( inverse( inverse( X ) ), X ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1026, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 5.09/5.45 , clause( 17, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1028, [ =( divide( X, inverse( Y ) ), multiply( Y, X ) ) ] )
% 5.09/5.45 , clause( 47, [ =( inverse( inverse( X ) ), X ) ] )
% 5.09/5.45 , 0, clause( 1026, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 5.09/5.45 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 5.09/5.45 Y ) ), :=( Y, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1029, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 5.09/5.45 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.09/5.45 , 0, clause( 1028, [ =( divide( X, inverse( Y ) ), multiply( Y, X ) ) ] )
% 5.09/5.45 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.09/5.45 :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 48, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 5.09/5.45 , clause( 1029, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.45 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1030, [ =( inverse( Y ), divide( X, multiply( X, Y ) ) ) ] )
% 5.09/5.45 , clause( 46, [ =( divide( X, multiply( X, Y ) ), inverse( Y ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1031, [ =( inverse( X ), divide( Y, multiply( X, Y ) ) ) ] )
% 5.09/5.45 , clause( 48, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 5.09/5.45 , 0, clause( 1030, [ =( inverse( Y ), divide( X, multiply( X, Y ) ) ) ] )
% 5.09/5.45 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.09/5.45 :=( X, Y ), :=( Y, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1034, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 5.09/5.45 , clause( 1031, [ =( inverse( X ), divide( Y, multiply( X, Y ) ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 50, [ =( divide( X, multiply( Y, X ) ), inverse( Y ) ) ] )
% 5.09/5.45 , clause( 1034, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.45 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1036, [ =( Z, divide( inverse( X ), multiply( divide( divide(
% 5.09/5.45 inverse( Y ), X ), Z ), Y ) ) ) ] )
% 5.09/5.45 , clause( 12, [ =( divide( inverse( Y ), multiply( divide( divide( inverse(
% 5.09/5.45 X ), Y ), Z ), X ) ), Z ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1043, [ =( X, divide( inverse( Y ), divide( divide( divide( inverse(
% 5.09/5.45 identity ), Y ), X ), identity ) ) ) ] )
% 5.09/5.45 , clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 5.09/5.45 , 0, clause( 1036, [ =( Z, divide( inverse( X ), multiply( divide( divide(
% 5.09/5.45 inverse( Y ), X ), Z ), Y ) ) ) ] )
% 5.09/5.45 , 0, 5, substitution( 0, [ :=( X, divide( divide( inverse( identity ), Y )
% 5.09/5.45 , X ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, identity ), :=( Z, X )] )
% 5.09/5.45 ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1044, [ =( X, divide( divide( identity, Y ), divide( divide(
% 5.09/5.45 inverse( identity ), Y ), X ) ) ) ] )
% 5.09/5.45 , clause( 44, [ =( divide( inverse( Y ), divide( Z, X ) ), divide( divide(
% 5.09/5.45 X, Y ), Z ) ) ] )
% 5.09/5.45 , 0, clause( 1043, [ =( X, divide( inverse( Y ), divide( divide( divide(
% 5.09/5.45 inverse( identity ), Y ), X ), identity ) ) ) ] )
% 5.09/5.45 , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, Y ), :=( Z, divide(
% 5.09/5.45 divide( inverse( identity ), Y ), X ) )] ), substitution( 1, [ :=( X, X )
% 5.09/5.45 , :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1045, [ =( X, divide( inverse( Y ), divide( divide( inverse(
% 5.09/5.45 identity ), Y ), X ) ) ) ] )
% 5.09/5.45 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 5.09/5.45 , 0, clause( 1044, [ =( X, divide( divide( identity, Y ), divide( divide(
% 5.09/5.45 inverse( identity ), Y ), X ) ) ) ] )
% 5.09/5.45 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.09/5.45 :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1046, [ =( X, divide( divide( X, Y ), divide( inverse( identity ),
% 5.09/5.45 Y ) ) ) ] )
% 5.09/5.45 , clause( 44, [ =( divide( inverse( Y ), divide( Z, X ) ), divide( divide(
% 5.09/5.45 X, Y ), Z ) ) ] )
% 5.09/5.45 , 0, clause( 1045, [ =( X, divide( inverse( Y ), divide( divide( inverse(
% 5.09/5.45 identity ), Y ), X ) ) ) ] )
% 5.09/5.45 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, divide( inverse(
% 5.09/5.45 identity ), Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1047, [ =( X, divide( divide( X, Y ), divide( identity, Y ) ) ) ]
% 5.09/5.45 )
% 5.09/5.45 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 5.09/5.45 , 0, clause( 1046, [ =( X, divide( divide( X, Y ), divide( inverse(
% 5.09/5.45 identity ), Y ) ) ) ] )
% 5.09/5.45 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 5.09/5.45 ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1048, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 5.09/5.45 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 5.09/5.45 , 0, clause( 1047, [ =( X, divide( divide( X, Y ), divide( identity, Y ) )
% 5.09/5.45 ) ] )
% 5.09/5.45 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 5.09/5.45 :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1049, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 5.09/5.45 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.09/5.45 , 0, clause( 1048, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 5.09/5.45 , 0, 2, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, Y )] ),
% 5.09/5.45 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1050, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 5.09/5.45 , clause( 1049, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 58, [ =( multiply( divide( Y, X ), X ), Y ) ] )
% 5.09/5.45 , clause( 1050, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.45 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1052, [ =( inverse( Y ), divide( X, multiply( X, Y ) ) ) ] )
% 5.09/5.45 , clause( 46, [ =( divide( X, multiply( X, Y ) ), inverse( Y ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1055, [ =( inverse( X ), divide( divide( Y, X ), Y ) ) ] )
% 5.09/5.45 , clause( 58, [ =( multiply( divide( Y, X ), X ), Y ) ] )
% 5.09/5.45 , 0, clause( 1052, [ =( inverse( Y ), divide( X, multiply( X, Y ) ) ) ] )
% 5.09/5.45 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.09/5.45 :=( X, divide( Y, X ) ), :=( Y, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1056, [ =( divide( divide( Y, X ), Y ), inverse( X ) ) ] )
% 5.09/5.45 , clause( 1055, [ =( inverse( X ), divide( divide( Y, X ), Y ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 60, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 5.09/5.45 , clause( 1056, [ =( divide( divide( Y, X ), Y ), inverse( X ) ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.45 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1057, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 5.09/5.45 , clause( 58, [ =( multiply( divide( Y, X ), X ), Y ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1058, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 5.09/5.45 , clause( 48, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 5.09/5.45 , 0, clause( 1057, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 5.09/5.45 , 0, 2, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, Y )] ),
% 5.09/5.45 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1061, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 5.09/5.45 , clause( 1058, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 62, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 5.09/5.45 , clause( 1061, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.45 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1063, [ =( inverse( Y ), divide( X, multiply( X, Y ) ) ) ] )
% 5.09/5.45 , clause( 46, [ =( divide( X, multiply( X, Y ) ), inverse( Y ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1066, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 5.09/5.45 , clause( 62, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 5.09/5.45 , 0, clause( 1063, [ =( inverse( Y ), divide( X, multiply( X, Y ) ) ) ] )
% 5.09/5.45 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 5.09/5.45 :=( X, Y ), :=( Y, divide( X, Y ) )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 65, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 5.09/5.45 , clause( 1066, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.45 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1069, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 5.09/5.45 , clause( 17, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1070, [ =( divide( X, divide( Y, Z ) ), multiply( divide( Z, Y ), X
% 5.09/5.45 ) ) ] )
% 5.09/5.45 , clause( 65, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 5.09/5.45 , 0, clause( 1069, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 5.09/5.45 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 5.09/5.45 :=( X, divide( Y, Z ) ), :=( Y, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1071, [ =( multiply( divide( Z, Y ), X ), divide( X, divide( Y, Z )
% 5.09/5.45 ) ) ] )
% 5.09/5.45 , clause( 1070, [ =( divide( X, divide( Y, Z ) ), multiply( divide( Z, Y )
% 5.09/5.45 , X ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 70, [ =( multiply( divide( Y, X ), Z ), divide( Z, divide( X, Y ) )
% 5.09/5.45 ) ] )
% 5.09/5.45 , clause( 1071, [ =( multiply( divide( Z, Y ), X ), divide( X, divide( Y, Z
% 5.09/5.45 ) ) ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.09/5.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1073, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 5.09/5.45 , clause( 65, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1077, [ =( divide( inverse( X ), Y ), inverse( multiply( Y, X ) ) )
% 5.09/5.45 ] )
% 5.09/5.45 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.09/5.45 , 0, clause( 1073, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 5.09/5.45 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.09/5.45 :=( X, Y ), :=( Y, inverse( X ) )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 73, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) ) ]
% 5.09/5.45 )
% 5.09/5.45 , clause( 1077, [ =( divide( inverse( X ), Y ), inverse( multiply( Y, X ) )
% 5.09/5.45 ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.45 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1081, [ =( inverse( Y ), divide( divide( X, Y ), X ) ) ] )
% 5.09/5.45 , clause( 60, [ =( divide( divide( X, Y ), X ), inverse( Y ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1083, [ =( inverse( multiply( X, Y ) ), divide( inverse( X ), Y ) )
% 5.09/5.45 ] )
% 5.09/5.45 , clause( 50, [ =( divide( X, multiply( Y, X ) ), inverse( Y ) ) ] )
% 5.09/5.45 , 0, clause( 1081, [ =( inverse( Y ), divide( divide( X, Y ), X ) ) ] )
% 5.09/5.45 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.09/5.45 :=( X, Y ), :=( Y, multiply( X, Y ) )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1084, [ =( inverse( multiply( X, Y ) ), inverse( multiply( Y, X ) )
% 5.09/5.45 ) ] )
% 5.09/5.45 , clause( 73, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) )
% 5.09/5.45 ] )
% 5.09/5.45 , 0, clause( 1083, [ =( inverse( multiply( X, Y ) ), divide( inverse( X ),
% 5.09/5.45 Y ) ) ] )
% 5.09/5.45 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 5.09/5.45 :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 77, [ =( inverse( multiply( X, Y ) ), inverse( multiply( Y, X ) ) )
% 5.09/5.45 ] )
% 5.09/5.45 , clause( 1084, [ =( inverse( multiply( X, Y ) ), inverse( multiply( Y, X )
% 5.09/5.45 ) ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.09/5.45 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1085, [ =( divide( X, Y ), multiply( X, inverse( Y ) ) ) ] )
% 5.09/5.45 , clause( 26, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1087, [ =( divide( X, multiply( Y, Z ) ), multiply( X, inverse(
% 5.09/5.45 multiply( Z, Y ) ) ) ) ] )
% 5.09/5.45 , clause( 77, [ =( inverse( multiply( X, Y ) ), inverse( multiply( Y, X ) )
% 5.09/5.45 ) ] )
% 5.09/5.45 , 0, clause( 1085, [ =( divide( X, Y ), multiply( X, inverse( Y ) ) ) ] )
% 5.09/5.45 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 5.09/5.45 :=( X, X ), :=( Y, multiply( Y, Z ) )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1089, [ =( divide( X, multiply( Y, Z ) ), divide( X, multiply( Z, Y
% 5.09/5.45 ) ) ) ] )
% 5.09/5.45 , clause( 26, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 5.09/5.45 , 0, clause( 1087, [ =( divide( X, multiply( Y, Z ) ), multiply( X, inverse(
% 5.09/5.45 multiply( Z, Y ) ) ) ) ] )
% 5.09/5.45 , 0, 6, substitution( 0, [ :=( X, multiply( Z, Y ) ), :=( Y, X )] ),
% 5.09/5.45 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 78, [ =( divide( Z, multiply( Y, X ) ), divide( Z, multiply( X, Y )
% 5.09/5.45 ) ) ] )
% 5.09/5.45 , clause( 1089, [ =( divide( X, multiply( Y, Z ) ), divide( X, multiply( Z
% 5.09/5.45 , Y ) ) ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 5.09/5.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1090, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 5.09/5.45 , clause( 65, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1093, [ =( divide( multiply( X, Y ), Z ), inverse( divide( Z,
% 5.09/5.45 multiply( Y, X ) ) ) ) ] )
% 5.09/5.45 , clause( 78, [ =( divide( Z, multiply( Y, X ) ), divide( Z, multiply( X, Y
% 5.09/5.45 ) ) ) ] )
% 5.09/5.45 , 0, clause( 1090, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 5.09/5.45 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.09/5.45 substitution( 1, [ :=( X, Z ), :=( Y, multiply( X, Y ) )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1096, [ =( divide( multiply( X, Y ), Z ), divide( multiply( Y, X )
% 5.09/5.45 , Z ) ) ] )
% 5.09/5.45 , clause( 65, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 5.09/5.45 , 0, clause( 1093, [ =( divide( multiply( X, Y ), Z ), inverse( divide( Z,
% 5.09/5.45 multiply( Y, X ) ) ) ) ] )
% 5.09/5.45 , 0, 6, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, Z )] ),
% 5.09/5.45 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.45 clause( 87, [ =( divide( multiply( Z, Y ), X ), divide( multiply( Y, Z ), X
% 5.09/5.45 ) ) ] )
% 5.09/5.45 , clause( 1096, [ =( divide( multiply( X, Y ), Z ), divide( multiply( Y, X
% 5.09/5.45 ), Z ) ) ] )
% 5.09/5.45 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 5.09/5.45 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 eqswap(
% 5.09/5.45 clause( 1097, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 5.09/5.45 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.09/5.45 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1099, [ =( multiply( multiply( X, Y ), Z ), divide( multiply( Y, X
% 5.09/5.45 ), inverse( Z ) ) ) ] )
% 5.09/5.45 , clause( 87, [ =( divide( multiply( Z, Y ), X ), divide( multiply( Y, Z )
% 5.09/5.45 , X ) ) ] )
% 5.09/5.45 , 0, clause( 1097, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 5.09/5.45 , 0, 6, substitution( 0, [ :=( X, inverse( Z ) ), :=( Y, Y ), :=( Z, X )] )
% 5.09/5.45 , substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, Z )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 paramod(
% 5.09/5.45 clause( 1101, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( Y,
% 5.09/5.45 X ), Z ) ) ] )
% 5.09/5.45 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.09/5.45 , 0, clause( 1099, [ =( multiply( multiply( X, Y ), Z ), divide( multiply(
% 5.09/5.45 Y, X ), inverse( Z ) ) ) ] )
% 5.09/5.45 , 0, 6, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, Z )] ),
% 5.09/5.45 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.45
% 5.09/5.45
% 5.09/5.45 subsumption(
% 5.09/5.46 clause( 97, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X, Y
% 5.09/5.46 ), Z ) ) ] )
% 5.09/5.46 , clause( 1101, [ =( multiply( multiply( X, Y ), Z ), multiply( multiply( Y
% 5.09/5.46 , X ), Z ) ) ] )
% 5.09/5.46 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.09/5.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 paramod(
% 5.09/5.46 clause( 1110, [ ~( =( a2, a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) )
% 5.09/5.46 , multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ),
% 5.09/5.46 multiply( b4, a4 ) ) ) ] )
% 5.09/5.46 , clause( 47, [ =( inverse( inverse( X ) ), X ) ] )
% 5.09/5.46 , 0, clause( 19, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 5.09/5.46 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 5.09/5.46 ) ) ), ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 5.09/5.46 , 2, 2, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 eqrefl(
% 5.09/5.46 clause( 1111, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 5.09/5.46 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 5.09/5.46 ) ) ) ] )
% 5.09/5.46 , clause( 1110, [ ~( =( a2, a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 5.09/5.46 ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ),
% 5.09/5.46 multiply( b4, a4 ) ) ) ] )
% 5.09/5.46 , 0, substitution( 0, [] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 subsumption(
% 5.09/5.46 clause( 126, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 5.09/5.46 a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.09/5.46 , clause( 1111, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 5.09/5.46 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 5.09/5.46 ) ) ) ] )
% 5.09/5.46 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 5.09/5.46 ).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 eqswap(
% 5.09/5.46 clause( 1115, [ =( divide( Z, divide( Y, X ) ), multiply( divide( X, Y ), Z
% 5.09/5.46 ) ) ] )
% 5.09/5.46 , clause( 70, [ =( multiply( divide( Y, X ), Z ), divide( Z, divide( X, Y )
% 5.09/5.46 ) ) ] )
% 5.09/5.46 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 paramod(
% 5.09/5.46 clause( 1118, [ =( divide( inverse( X ), divide( Y, Z ) ), divide( divide(
% 5.09/5.46 Z, Y ), X ) ) ] )
% 5.09/5.46 , clause( 26, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 5.09/5.46 , 0, clause( 1115, [ =( divide( Z, divide( Y, X ) ), multiply( divide( X, Y
% 5.09/5.46 ), Z ) ) ] )
% 5.09/5.46 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, divide( Z, Y ) )] ),
% 5.09/5.46 substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 paramod(
% 5.09/5.46 clause( 1119, [ =( divide( divide( Z, X ), Y ), divide( divide( Z, Y ), X )
% 5.09/5.46 ) ] )
% 5.09/5.46 , clause( 44, [ =( divide( inverse( Y ), divide( Z, X ) ), divide( divide(
% 5.09/5.46 X, Y ), Z ) ) ] )
% 5.09/5.46 , 0, clause( 1118, [ =( divide( inverse( X ), divide( Y, Z ) ), divide(
% 5.09/5.46 divide( Z, Y ), X ) ) ] )
% 5.09/5.46 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 5.09/5.46 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 subsumption(
% 5.09/5.46 clause( 129, [ =( divide( divide( X, Z ), Y ), divide( divide( X, Y ), Z )
% 5.09/5.46 ) ] )
% 5.09/5.46 , clause( 1119, [ =( divide( divide( Z, X ), Y ), divide( divide( Z, Y ), X
% 5.09/5.46 ) ) ] )
% 5.09/5.46 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 5.09/5.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 eqswap(
% 5.09/5.46 clause( 1120, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 5.09/5.46 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.09/5.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 paramod(
% 5.09/5.46 clause( 1123, [ =( multiply( divide( X, Y ), Z ), divide( divide( X,
% 5.09/5.46 inverse( Z ) ), Y ) ) ] )
% 5.09/5.46 , clause( 129, [ =( divide( divide( X, Z ), Y ), divide( divide( X, Y ), Z
% 5.09/5.46 ) ) ] )
% 5.09/5.46 , 0, clause( 1120, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 5.09/5.46 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, Y )] )
% 5.09/5.46 , substitution( 1, [ :=( X, divide( X, Y ) ), :=( Y, Z )] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 paramod(
% 5.09/5.46 clause( 1125, [ =( multiply( divide( X, Y ), Z ), divide( multiply( X, Z )
% 5.09/5.46 , Y ) ) ] )
% 5.09/5.46 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.09/5.46 , 0, clause( 1123, [ =( multiply( divide( X, Y ), Z ), divide( divide( X,
% 5.09/5.46 inverse( Z ) ), Y ) ) ] )
% 5.09/5.46 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 5.09/5.46 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 paramod(
% 5.09/5.46 clause( 1126, [ =( divide( Z, divide( Y, X ) ), divide( multiply( X, Z ), Y
% 5.09/5.46 ) ) ] )
% 5.09/5.46 , clause( 70, [ =( multiply( divide( Y, X ), Z ), divide( Z, divide( X, Y )
% 5.09/5.46 ) ) ] )
% 5.09/5.46 , 0, clause( 1125, [ =( multiply( divide( X, Y ), Z ), divide( multiply( X
% 5.09/5.46 , Z ), Y ) ) ] )
% 5.09/5.46 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.09/5.46 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 subsumption(
% 5.09/5.46 clause( 152, [ =( divide( Z, divide( Y, X ) ), divide( multiply( X, Z ), Y
% 5.09/5.46 ) ) ] )
% 5.09/5.46 , clause( 1126, [ =( divide( Z, divide( Y, X ) ), divide( multiply( X, Z )
% 5.09/5.46 , Y ) ) ] )
% 5.09/5.46 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.09/5.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 eqswap(
% 5.09/5.46 clause( 1129, [ =( divide( multiply( Z, X ), Y ), divide( X, divide( Y, Z )
% 5.09/5.46 ) ) ] )
% 5.09/5.46 , clause( 152, [ =( divide( Z, divide( Y, X ) ), divide( multiply( X, Z ),
% 5.09/5.46 Y ) ) ] )
% 5.09/5.46 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 paramod(
% 5.09/5.46 clause( 1134, [ =( divide( multiply( X, Y ), inverse( Z ) ), divide( Y,
% 5.09/5.46 inverse( multiply( X, Z ) ) ) ) ] )
% 5.09/5.46 , clause( 73, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) )
% 5.09/5.46 ] )
% 5.09/5.46 , 0, clause( 1129, [ =( divide( multiply( Z, X ), Y ), divide( X, divide( Y
% 5.09/5.46 , Z ) ) ) ] )
% 5.09/5.46 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 5.09/5.46 :=( X, Y ), :=( Y, inverse( Z ) ), :=( Z, X )] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 paramod(
% 5.09/5.46 clause( 1136, [ =( divide( multiply( X, Y ), inverse( Z ) ), multiply( Y,
% 5.09/5.46 multiply( X, Z ) ) ) ] )
% 5.09/5.46 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.09/5.46 , 0, clause( 1134, [ =( divide( multiply( X, Y ), inverse( Z ) ), divide( Y
% 5.09/5.46 , inverse( multiply( X, Z ) ) ) ) ] )
% 5.09/5.46 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Z ) )] ),
% 5.09/5.46 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 paramod(
% 5.09/5.46 clause( 1138, [ =( multiply( multiply( X, Y ), Z ), multiply( Y, multiply(
% 5.09/5.46 X, Z ) ) ) ] )
% 5.09/5.46 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 5.09/5.46 , 0, clause( 1136, [ =( divide( multiply( X, Y ), inverse( Z ) ), multiply(
% 5.09/5.46 Y, multiply( X, Z ) ) ) ] )
% 5.09/5.46 , 0, 1, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, Z )] ),
% 5.09/5.46 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 eqswap(
% 5.09/5.46 clause( 1139, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( X,
% 5.09/5.46 Y ), Z ) ) ] )
% 5.09/5.46 , clause( 1138, [ =( multiply( multiply( X, Y ), Z ), multiply( Y, multiply(
% 5.09/5.46 X, Z ) ) ) ] )
% 5.09/5.46 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 subsumption(
% 5.09/5.46 clause( 157, [ =( multiply( Z, multiply( Y, X ) ), multiply( multiply( Y, Z
% 5.09/5.46 ), X ) ) ] )
% 5.09/5.46 , clause( 1139, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( X
% 5.09/5.46 , Y ), Z ) ) ] )
% 5.09/5.46 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 5.09/5.46 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 paramod(
% 5.09/5.46 clause( 1144, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply(
% 5.09/5.46 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 5.09/5.46 ) ) ) ] )
% 5.09/5.46 , clause( 157, [ =( multiply( Z, multiply( Y, X ) ), multiply( multiply( Y
% 5.09/5.46 , Z ), X ) ) ] )
% 5.09/5.46 , 0, clause( 126, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 5.09/5.46 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 5.09/5.46 ) ) ) ] )
% 5.09/5.46 , 0, 2, substitution( 0, [ :=( X, c3 ), :=( Y, b3 ), :=( Z, a3 )] ),
% 5.09/5.46 substitution( 1, [] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 eqswap(
% 5.09/5.46 clause( 1145, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 5.09/5.46 multiply( b3, a3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 5.09/5.46 ) ) ) ] )
% 5.09/5.46 , clause( 1144, [ ~( =( multiply( multiply( b3, a3 ), c3 ), multiply(
% 5.09/5.46 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 5.09/5.46 ) ) ) ] )
% 5.09/5.46 , 0, substitution( 0, [] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 subsumption(
% 5.09/5.46 clause( 816, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 5.09/5.46 multiply( multiply( a3, b3 ), c3 ), multiply( multiply( b3, a3 ), c3 ) )
% 5.09/5.46 ) ] )
% 5.09/5.46 , clause( 1145, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 5.09/5.46 multiply( b3, a3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 5.09/5.46 ) ) ) ] )
% 5.09/5.46 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 5.09/5.46 ).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 eqswap(
% 5.09/5.46 clause( 1148, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 5.09/5.46 multiply( multiply( a3, b3 ), c3 ), multiply( multiply( b3, a3 ), c3 ) )
% 5.09/5.46 ) ] )
% 5.09/5.46 , clause( 816, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 5.09/5.46 multiply( multiply( a3, b3 ), c3 ), multiply( multiply( b3, a3 ), c3 ) )
% 5.09/5.46 ) ] )
% 5.09/5.46 , 0, substitution( 0, [] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 paramod(
% 5.09/5.46 clause( 1152, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 5.09/5.46 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4
% 5.09/5.46 ) ) ) ] )
% 5.09/5.46 , clause( 97, [ =( multiply( multiply( Y, X ), Z ), multiply( multiply( X,
% 5.09/5.46 Y ), Z ) ) ] )
% 5.09/5.46 , 0, clause( 1148, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~(
% 5.09/5.46 =( multiply( multiply( a3, b3 ), c3 ), multiply( multiply( b3, a3 ), c3 )
% 5.09/5.46 ) ) ] )
% 5.09/5.46 , 1, 7, substitution( 0, [ :=( X, a3 ), :=( Y, b3 ), :=( Z, c3 )] ),
% 5.09/5.46 substitution( 1, [] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 eqrefl(
% 5.09/5.46 clause( 1155, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 5.09/5.46 , clause( 1152, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 5.09/5.46 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4
% 5.09/5.46 ) ) ) ] )
% 5.09/5.46 , 0, substitution( 0, [] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 eqswap(
% 5.09/5.46 clause( 1156, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.09/5.46 , clause( 1155, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 5.09/5.46 , 0, substitution( 0, [] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 subsumption(
% 5.09/5.46 clause( 828, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.09/5.46 , clause( 1156, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.09/5.46 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 eqswap(
% 5.09/5.46 clause( 1157, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 5.09/5.46 , clause( 828, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 5.09/5.46 , 0, substitution( 0, [] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 paramod(
% 5.09/5.46 clause( 1159, [ ~( =( multiply( b4, a4 ), multiply( b4, a4 ) ) ) ] )
% 5.09/5.46 , clause( 48, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 5.09/5.46 , 0, clause( 1157, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 5.09/5.46 , 0, 5, substitution( 0, [ :=( X, a4 ), :=( Y, b4 )] ), substitution( 1, [] )
% 5.09/5.46 ).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 eqrefl(
% 5.09/5.46 clause( 1162, [] )
% 5.09/5.46 , clause( 1159, [ ~( =( multiply( b4, a4 ), multiply( b4, a4 ) ) ) ] )
% 5.09/5.46 , 0, substitution( 0, [] )).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 subsumption(
% 5.09/5.46 clause( 830, [] )
% 5.09/5.46 , clause( 1162, [] )
% 5.09/5.46 , substitution( 0, [] ), permutation( 0, [] ) ).
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 end.
% 5.09/5.46
% 5.09/5.46 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.09/5.46
% 5.09/5.46 Memory use:
% 5.09/5.46
% 5.09/5.46 space for terms: 16568
% 5.09/5.46 space for clauses: 72431
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 clauses generated: 20222
% 5.09/5.46 clauses kept: 831
% 5.09/5.46 clauses selected: 100
% 5.09/5.46 clauses deleted: 114
% 5.09/5.46 clauses inuse deleted: 0
% 5.09/5.46
% 5.09/5.46 subsentry: 17471
% 5.09/5.46 literals s-matched: 15374
% 5.09/5.46 literals matched: 15361
% 5.09/5.46 full subsumption: 0
% 5.09/5.46
% 5.09/5.46 checksum: -1258594805
% 5.09/5.46
% 5.09/5.46
% 5.09/5.46 Bliksem ended
%------------------------------------------------------------------------------