TSTP Solution File: GRP093-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP093-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 4.79s 5.15s
% Output : Refutation 4.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP093-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 07:46:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 4.79/5.15 *** allocated 10000 integers for termspace/termends
% 4.79/5.15 *** allocated 10000 integers for clauses
% 4.79/5.15 *** allocated 10000 integers for justifications
% 4.79/5.15 Bliksem 1.12
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 Automatic Strategy Selection
% 4.79/5.15
% 4.79/5.15 Clauses:
% 4.79/5.15 [
% 4.79/5.15 [ =( divide( divide( identity, divide( divide( divide( X, Y ), Z ), X )
% 4.79/5.15 ), Z ), Y ) ],
% 4.79/5.15 [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ],
% 4.79/5.15 [ =( inverse( X ), divide( identity, X ) ) ],
% 4.79/5.15 [ =( identity, divide( X, X ) ) ],
% 4.79/5.15 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 4.79/5.15 , ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =(
% 4.79/5.15 multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, c3 ) ) )
% 4.79/5.15 ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ]
% 4.79/5.15 ] .
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 percentage equality = 1.000000, percentage horn = 1.000000
% 4.79/5.15 This is a pure equality problem
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 Options Used:
% 4.79/5.15
% 4.79/5.15 useres = 1
% 4.79/5.15 useparamod = 1
% 4.79/5.15 useeqrefl = 1
% 4.79/5.15 useeqfact = 1
% 4.79/5.15 usefactor = 1
% 4.79/5.15 usesimpsplitting = 0
% 4.79/5.15 usesimpdemod = 5
% 4.79/5.15 usesimpres = 3
% 4.79/5.15
% 4.79/5.15 resimpinuse = 1000
% 4.79/5.15 resimpclauses = 20000
% 4.79/5.15 substype = eqrewr
% 4.79/5.15 backwardsubs = 1
% 4.79/5.15 selectoldest = 5
% 4.79/5.15
% 4.79/5.15 litorderings [0] = split
% 4.79/5.15 litorderings [1] = extend the termordering, first sorting on arguments
% 4.79/5.15
% 4.79/5.15 termordering = kbo
% 4.79/5.15
% 4.79/5.15 litapriori = 0
% 4.79/5.15 termapriori = 1
% 4.79/5.15 litaposteriori = 0
% 4.79/5.15 termaposteriori = 0
% 4.79/5.15 demodaposteriori = 0
% 4.79/5.15 ordereqreflfact = 0
% 4.79/5.15
% 4.79/5.15 litselect = negord
% 4.79/5.15
% 4.79/5.15 maxweight = 15
% 4.79/5.15 maxdepth = 30000
% 4.79/5.15 maxlength = 115
% 4.79/5.15 maxnrvars = 195
% 4.79/5.15 excuselevel = 1
% 4.79/5.15 increasemaxweight = 1
% 4.79/5.15
% 4.79/5.15 maxselected = 10000000
% 4.79/5.15 maxnrclauses = 10000000
% 4.79/5.15
% 4.79/5.15 showgenerated = 0
% 4.79/5.15 showkept = 0
% 4.79/5.15 showselected = 0
% 4.79/5.15 showdeleted = 0
% 4.79/5.15 showresimp = 1
% 4.79/5.15 showstatus = 2000
% 4.79/5.15
% 4.79/5.15 prologoutput = 1
% 4.79/5.15 nrgoals = 5000000
% 4.79/5.15 totalproof = 1
% 4.79/5.15
% 4.79/5.15 Symbols occurring in the translation:
% 4.79/5.15
% 4.79/5.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.79/5.15 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 4.79/5.15 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 4.79/5.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.79/5.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.79/5.15 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 4.79/5.15 divide [42, 2] (w:1, o:53, a:1, s:1, b:0),
% 4.79/5.15 multiply [44, 2] (w:1, o:54, a:1, s:1, b:0),
% 4.79/5.15 inverse [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 4.79/5.15 a1 [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 4.79/5.15 b1 [47, 0] (w:1, o:17, a:1, s:1, b:0),
% 4.79/5.15 b2 [48, 0] (w:1, o:18, a:1, s:1, b:0),
% 4.79/5.15 a2 [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 4.79/5.15 a3 [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 4.79/5.15 b3 [51, 0] (w:1, o:19, a:1, s:1, b:0),
% 4.79/5.15 c3 [52, 0] (w:1, o:21, a:1, s:1, b:0),
% 4.79/5.15 a4 [53, 0] (w:1, o:16, a:1, s:1, b:0),
% 4.79/5.15 b4 [54, 0] (w:1, o:20, a:1, s:1, b:0).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 Starting Search:
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Failed to find proof!
% 4.79/5.15 maxweight = 15
% 4.79/5.15 maxnrclauses = 10000000
% 4.79/5.15 Generated: 14612
% 4.79/5.15 Kept: 196
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 The strategy used was not complete!
% 4.79/5.15
% 4.79/5.15 Increased maxweight to 16
% 4.79/5.15
% 4.79/5.15 Starting Search:
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Failed to find proof!
% 4.79/5.15 maxweight = 16
% 4.79/5.15 maxnrclauses = 10000000
% 4.79/5.15 Generated: 14257
% 4.79/5.15 Kept: 183
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 The strategy used was not complete!
% 4.79/5.15
% 4.79/5.15 Increased maxweight to 17
% 4.79/5.15
% 4.79/5.15 Starting Search:
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Failed to find proof!
% 4.79/5.15 maxweight = 17
% 4.79/5.15 maxnrclauses = 10000000
% 4.79/5.15 Generated: 20741
% 4.79/5.15 Kept: 202
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 The strategy used was not complete!
% 4.79/5.15
% 4.79/5.15 Increased maxweight to 18
% 4.79/5.15
% 4.79/5.15 Starting Search:
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Failed to find proof!
% 4.79/5.15 maxweight = 18
% 4.79/5.15 maxnrclauses = 10000000
% 4.79/5.15 Generated: 20741
% 4.79/5.15 Kept: 202
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 The strategy used was not complete!
% 4.79/5.15
% 4.79/5.15 Increased maxweight to 19
% 4.79/5.15
% 4.79/5.15 Starting Search:
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Failed to find proof!
% 4.79/5.15 maxweight = 19
% 4.79/5.15 maxnrclauses = 10000000
% 4.79/5.15 Generated: 210231
% 4.79/5.15 Kept: 318
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 The strategy used was not complete!
% 4.79/5.15
% 4.79/5.15 Increased maxweight to 20
% 4.79/5.15
% 4.79/5.15 Starting Search:
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Failed to find proof!
% 4.79/5.15 maxweight = 20
% 4.79/5.15 maxnrclauses = 10000000
% 4.79/5.15 Generated: 210770
% 4.79/5.15 Kept: 321
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 The strategy used was not complete!
% 4.79/5.15
% 4.79/5.15 Increased maxweight to 21
% 4.79/5.15
% 4.79/5.15 Starting Search:
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Failed to find proof!
% 4.79/5.15 maxweight = 21
% 4.79/5.15 maxnrclauses = 10000000
% 4.79/5.15 Generated: 343506
% 4.79/5.15 Kept: 389
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 The strategy used was not complete!
% 4.79/5.15
% 4.79/5.15 Increased maxweight to 22
% 4.79/5.15
% 4.79/5.15 Starting Search:
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Resimplifying inuse:
% 4.79/5.15 Done
% 4.79/5.15
% 4.79/5.15 Failed to find proof!
% 4.79/5.15 maxweight = 22
% 4.79/5.15 maxnrclauses = 10000000
% 4.79/5.15 Generated: 343506
% 4.79/5.15 Kept: 389
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 The strategy used was not complete!
% 4.79/5.15
% 4.79/5.15 Increased maxweight to 23
% 4.79/5.15
% 4.79/5.15 Starting Search:
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 Bliksems!, er is een bewijs:
% 4.79/5.15 % SZS status Unsatisfiable
% 4.79/5.15 % SZS output start Refutation
% 4.79/5.15
% 4.79/5.15 clause( 0, [ =( divide( divide( identity, divide( divide( divide( X, Y ), Z
% 4.79/5.15 ), X ) ), Z ), Y ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 3, [ =( divide( X, X ), identity ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 4, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 4.79/5.15 a1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 4.79/5.15 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 4.79/5.15 c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 5, [ =( inverse( identity ), identity ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 10, [ =( divide( inverse( divide( divide( divide( X, Y ), Z ), X )
% 4.79/5.15 ), Z ), Y ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 16, [ =( divide( inverse( inverse( X ) ), divide( X, Y ) ), Y ) ]
% 4.79/5.15 )
% 4.79/5.15 .
% 4.79/5.15 clause( 18, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 4.79/5.15 a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~(
% 4.79/5.15 =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 20, [ =( divide( inverse( multiply( divide( Y, Z ), inverse( X ) )
% 4.79/5.15 ), Z ), divide( X, Y ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 23, [ =( inverse( inverse( X ) ), X ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 24, [ =( divide( X, identity ), X ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 25, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 27, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 29, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 48, [ =( divide( X, multiply( X, Y ) ), inverse( Y ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 51, [ =( divide( Z, divide( divide( X, Y ), X ) ), multiply( Z, Y )
% 4.79/5.15 ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 53, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 57, [ =( multiply( Z, divide( Y, X ) ), divide( Z, divide( X, Y ) )
% 4.79/5.15 ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 58, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 62, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) ) ]
% 4.79/5.15 )
% 4.79/5.15 .
% 4.79/5.15 clause( 63, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 67, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 69, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 75, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 77, [ =( multiply( divide( Y, X ), Z ), divide( Z, divide( X, Y ) )
% 4.79/5.15 ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 106, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 4.79/5.15 a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 126, [ =( divide( divide( Z, divide( Y, X ) ), divide( X, Y ) ), Z
% 4.79/5.15 ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 147, [ =( divide( divide( X, divide( Y, Z ) ), Z ), divide( X, Y )
% 4.79/5.15 ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 149, [ =( divide( T, divide( X, divide( Y, Z ) ) ), divide( divide(
% 4.79/5.15 T, divide( X, Y ) ), Z ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 153, [ =( divide( divide( X, Y ), divide( T, Z ) ), divide( divide(
% 4.79/5.15 X, divide( Y, Z ) ), T ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 154, [ =( divide( T, divide( Y, X ) ), divide( multiply( T, X ), Y
% 4.79/5.15 ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 169, [ =( multiply( Z, multiply( Y, X ) ), multiply( multiply( Z, Y
% 4.79/5.15 ), X ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 856, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 .
% 4.79/5.15 clause( 857, [] )
% 4.79/5.15 .
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 % SZS output end Refutation
% 4.79/5.15 found a proof!
% 4.79/5.15
% 4.79/5.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.79/5.15
% 4.79/5.15 initialclauses(
% 4.79/5.15 [ clause( 859, [ =( divide( divide( identity, divide( divide( divide( X, Y
% 4.79/5.15 ), Z ), X ) ), Z ), Y ) ] )
% 4.79/5.15 , clause( 860, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) )
% 4.79/5.15 ] )
% 4.79/5.15 , clause( 861, [ =( inverse( X ), divide( identity, X ) ) ] )
% 4.79/5.15 , clause( 862, [ =( identity, divide( X, X ) ) ] )
% 4.79/5.15 , clause( 863, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 4.79/5.15 ), b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 4.79/5.15 , ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 4.79/5.15 c3 ) ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 ] ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 0, [ =( divide( divide( identity, divide( divide( divide( X, Y ), Z
% 4.79/5.15 ), X ) ), Z ), Y ) ] )
% 4.79/5.15 , clause( 859, [ =( divide( divide( identity, divide( divide( divide( X, Y
% 4.79/5.15 ), Z ), X ) ), Z ), Y ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.79/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 866, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 4.79/5.15 )
% 4.79/5.15 , clause( 860, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) )
% 4.79/5.15 ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 4.79/5.15 , clause( 866, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 4.79/5.15 ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.79/5.15 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 869, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.79/5.15 , clause( 861, [ =( inverse( X ), divide( identity, X ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.79/5.15 , clause( 869, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 873, [ =( divide( X, X ), identity ) ] )
% 4.79/5.15 , clause( 862, [ =( identity, divide( X, X ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 3, [ =( divide( X, X ), identity ) ] )
% 4.79/5.15 , clause( 873, [ =( divide( X, X ), identity ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 881, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 4.79/5.15 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~( =(
% 4.79/5.15 multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =( multiply(
% 4.79/5.15 multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 4.79/5.15 , clause( 863, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 4.79/5.15 ), b1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 4.79/5.15 , ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 4.79/5.15 c3 ) ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , 3, substitution( 0, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 884, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 4.79/5.15 a3, b3 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~(
% 4.79/5.15 =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~(
% 4.79/5.15 =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ] )
% 4.79/5.15 , clause( 881, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 4.79/5.15 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ), ~( =(
% 4.79/5.15 multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ), ~( =( multiply(
% 4.79/5.15 multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, c3 ) ) ) ) ] )
% 4.79/5.15 , 3, substitution( 0, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 886, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 4.79/5.15 , ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 )
% 4.79/5.15 , c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 4.79/5.15 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ) ] )
% 4.79/5.15 , clause( 884, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.79/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4
% 4.79/5.15 ) ) ), ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1
% 4.79/5.15 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ] )
% 4.79/5.15 , 3, substitution( 0, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 888, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 4.79/5.15 , a1 ) ) ), ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ),
% 4.79/5.15 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 4.79/5.15 c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 4.79/5.15 , clause( 886, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) )
% 4.79/5.15 ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3
% 4.79/5.15 ), c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ), ~( =(
% 4.79/5.15 multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) ) ] )
% 4.79/5.15 , 3, substitution( 0, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 890, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 4.79/5.15 multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =(
% 4.79/5.15 a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ), ~( =( multiply( a3
% 4.79/5.15 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 4.79/5.15 , clause( 888, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 4.79/5.15 ), a1 ) ) ), ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 4.79/5.15 , ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 )
% 4.79/5.15 , c3 ) ) ), ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 4.79/5.15 , 3, substitution( 0, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 891, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 4.79/5.15 , ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =( multiply(
% 4.79/5.15 inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply(
% 4.79/5.15 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 4.79/5.15 , clause( 890, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =(
% 4.79/5.15 multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =(
% 4.79/5.15 a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) ), ~( =( multiply( a3
% 4.79/5.15 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 4.79/5.15 , 2, substitution( 0, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 4, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 4.79/5.15 a1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ),
% 4.79/5.15 ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ),
% 4.79/5.15 c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , clause( 891, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 4.79/5.15 ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~( =( multiply(
% 4.79/5.15 inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply(
% 4.79/5.15 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ) ] )
% 4.79/5.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 3 ), ==>( 2
% 4.79/5.15 , 0 ), ==>( 3, 2 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 893, [ =( inverse( X ), divide( identity, X ) ) ] )
% 4.79/5.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 895, [ =( inverse( identity ), identity ) ] )
% 4.79/5.15 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 4.79/5.15 , 0, clause( 893, [ =( inverse( X ), divide( identity, X ) ) ] )
% 4.79/5.15 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 4.79/5.15 identity )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 5, [ =( inverse( identity ), identity ) ] )
% 4.79/5.15 , clause( 895, [ =( inverse( identity ), identity ) ] )
% 4.79/5.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 899, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.79/5.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.79/5.15 , 0, clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 4.79/5.15 ] )
% 4.79/5.15 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 4.79/5.15 :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.79/5.15 , clause( 899, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.79/5.15 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 901, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.79/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 903, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 4.79/5.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.79/5.15 , 0, clause( 901, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.79/5.15 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 4.79/5.15 :=( X, identity ), :=( Y, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 4.79/5.15 , clause( 903, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 905, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.79/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 907, [ =( multiply( inverse( X ), X ), identity ) ] )
% 4.79/5.15 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 4.79/5.15 , 0, clause( 905, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.79/5.15 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 4.79/5.15 :=( X, inverse( X ) ), :=( Y, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 4.79/5.15 , clause( 907, [ =( multiply( inverse( X ), X ), identity ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 911, [ =( divide( inverse( divide( divide( divide( X, Y ), Z ), X )
% 4.79/5.15 ), Z ), Y ) ] )
% 4.79/5.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.79/5.15 , 0, clause( 0, [ =( divide( divide( identity, divide( divide( divide( X, Y
% 4.79/5.15 ), Z ), X ) ), Z ), Y ) ] )
% 4.79/5.15 , 0, 2, substitution( 0, [ :=( X, divide( divide( divide( X, Y ), Z ), X )
% 4.79/5.15 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 10, [ =( divide( inverse( divide( divide( divide( X, Y ), Z ), X )
% 4.79/5.15 ), Z ), Y ) ] )
% 4.79/5.15 , clause( 911, [ =( divide( inverse( divide( divide( divide( X, Y ), Z ), X
% 4.79/5.15 ) ), Z ), Y ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.79/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 914, [ =( Y, divide( inverse( divide( divide( divide( X, Y ), Z ),
% 4.79/5.15 X ) ), Z ) ) ] )
% 4.79/5.15 , clause( 10, [ =( divide( inverse( divide( divide( divide( X, Y ), Z ), X
% 4.79/5.15 ) ), Z ), Y ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 916, [ =( X, divide( inverse( divide( identity, Y ) ), divide( Y, X
% 4.79/5.15 ) ) ) ] )
% 4.79/5.15 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 4.79/5.15 , 0, clause( 914, [ =( Y, divide( inverse( divide( divide( divide( X, Y ),
% 4.79/5.15 Z ), X ) ), Z ) ) ] )
% 4.79/5.15 , 0, 5, substitution( 0, [ :=( X, divide( Y, X ) )] ), substitution( 1, [
% 4.79/5.15 :=( X, Y ), :=( Y, X ), :=( Z, divide( Y, X ) )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 920, [ =( X, divide( inverse( inverse( Y ) ), divide( Y, X ) ) ) ]
% 4.79/5.15 )
% 4.79/5.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.79/5.15 , 0, clause( 916, [ =( X, divide( inverse( divide( identity, Y ) ), divide(
% 4.79/5.15 Y, X ) ) ) ] )
% 4.79/5.15 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 4.79/5.15 :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 921, [ =( divide( inverse( inverse( Y ) ), divide( Y, X ) ), X ) ]
% 4.79/5.15 )
% 4.79/5.15 , clause( 920, [ =( X, divide( inverse( inverse( Y ) ), divide( Y, X ) ) )
% 4.79/5.15 ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 16, [ =( divide( inverse( inverse( X ) ), divide( X, Y ) ), Y ) ]
% 4.79/5.15 )
% 4.79/5.15 , clause( 921, [ =( divide( inverse( inverse( Y ) ), divide( Y, X ) ), X )
% 4.79/5.15 ] )
% 4.79/5.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.79/5.15 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 943, [ ~( =( multiply( identity, a2 ), a2 ) ), ~( =( multiply(
% 4.79/5.15 inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply(
% 4.79/5.15 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =(
% 4.79/5.15 multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 4.79/5.15 , 0, clause( 4, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse(
% 4.79/5.15 a1 ), a1 ) ) ), ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 4.79/5.15 ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3
% 4.79/5.15 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , 1, 3, substitution( 0, [ :=( X, b2 )] ), substitution( 1, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 949, [ ~( =( multiply( inverse( b1 ), b1 ), identity ) ), ~( =(
% 4.79/5.15 multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 4.79/5.15 ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ),
% 4.79/5.15 multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 4.79/5.15 , 0, clause( 943, [ ~( =( multiply( identity, a2 ), a2 ) ), ~( =( multiply(
% 4.79/5.15 inverse( b1 ), b1 ), multiply( inverse( a1 ), a1 ) ) ), ~( =( multiply(
% 4.79/5.15 a3, multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =(
% 4.79/5.15 multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , 1, 6, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 951, [ ~( =( identity, identity ) ), ~( =( multiply( identity, a2 )
% 4.79/5.15 , a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 4.79/5.15 a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , clause( 9, [ =( multiply( inverse( X ), X ), identity ) ] )
% 4.79/5.15 , 0, clause( 949, [ ~( =( multiply( inverse( b1 ), b1 ), identity ) ), ~(
% 4.79/5.15 =( multiply( identity, a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3
% 4.79/5.15 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ),
% 4.79/5.15 multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , 0, 2, substitution( 0, [ :=( X, b1 )] ), substitution( 1, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 952, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( identity,
% 4.79/5.15 identity ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.79/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.79/5.15 ) ) ) ] )
% 4.79/5.15 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 4.79/5.15 , 0, clause( 951, [ ~( =( identity, identity ) ), ~( =( multiply( identity
% 4.79/5.15 , a2 ), a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.79/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.79/5.15 ) ) ) ] )
% 4.79/5.15 , 1, 2, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqrefl(
% 4.79/5.15 clause( 953, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( multiply( a3,
% 4.79/5.15 multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =(
% 4.79/5.15 multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , clause( 952, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( identity,
% 4.79/5.15 identity ) ), ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.79/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.79/5.15 ) ) ) ] )
% 4.79/5.15 , 1, substitution( 0, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 18, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 4.79/5.15 a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ), ~(
% 4.79/5.15 =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 4.79/5.15 , clause( 953, [ ~( =( inverse( inverse( a2 ) ), a2 ) ), ~( =( multiply( a3
% 4.79/5.15 , multiply( b3, c3 ) ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =(
% 4.79/5.15 multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 4.79/5.15 , 1 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 962, [ =( Y, divide( inverse( divide( divide( divide( X, Y ), Z ),
% 4.79/5.15 X ) ), Z ) ) ] )
% 4.79/5.15 , clause( 10, [ =( divide( inverse( divide( divide( divide( X, Y ), Z ), X
% 4.79/5.15 ) ), Z ), Y ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 965, [ =( divide( X, Y ), divide( inverse( divide( divide( Y, Z ),
% 4.79/5.15 inverse( inverse( X ) ) ) ), Z ) ) ] )
% 4.79/5.15 , clause( 16, [ =( divide( inverse( inverse( X ) ), divide( X, Y ) ), Y ) ]
% 4.79/5.15 )
% 4.79/5.15 , 0, clause( 962, [ =( Y, divide( inverse( divide( divide( divide( X, Y ),
% 4.79/5.15 Z ), X ) ), Z ) ) ] )
% 4.79/5.15 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.79/5.15 :=( X, inverse( inverse( X ) ) ), :=( Y, divide( X, Y ) ), :=( Z, Z )] )
% 4.79/5.15 ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 966, [ =( divide( X, Y ), divide( inverse( multiply( divide( Y, Z )
% 4.79/5.15 , inverse( X ) ) ), Z ) ) ] )
% 4.79/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.79/5.15 , 0, clause( 965, [ =( divide( X, Y ), divide( inverse( divide( divide( Y,
% 4.79/5.15 Z ), inverse( inverse( X ) ) ) ), Z ) ) ] )
% 4.79/5.15 , 0, 6, substitution( 0, [ :=( X, divide( Y, Z ) ), :=( Y, inverse( X ) )] )
% 4.79/5.15 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 967, [ =( divide( inverse( multiply( divide( Y, Z ), inverse( X ) )
% 4.79/5.15 ), Z ), divide( X, Y ) ) ] )
% 4.79/5.15 , clause( 966, [ =( divide( X, Y ), divide( inverse( multiply( divide( Y, Z
% 4.79/5.15 ), inverse( X ) ) ), Z ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 20, [ =( divide( inverse( multiply( divide( Y, Z ), inverse( X ) )
% 4.79/5.15 ), Z ), divide( X, Y ) ) ] )
% 4.79/5.15 , clause( 967, [ =( divide( inverse( multiply( divide( Y, Z ), inverse( X )
% 4.79/5.15 ) ), Z ), divide( X, Y ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.79/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 969, [ =( Y, divide( inverse( inverse( X ) ), divide( X, Y ) ) ) ]
% 4.79/5.15 )
% 4.79/5.15 , clause( 16, [ =( divide( inverse( inverse( X ) ), divide( X, Y ) ), Y ) ]
% 4.79/5.15 )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 973, [ =( X, divide( inverse( identity ), divide( identity, X ) ) )
% 4.79/5.15 ] )
% 4.79/5.15 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 4.79/5.15 , 0, clause( 969, [ =( Y, divide( inverse( inverse( X ) ), divide( X, Y ) )
% 4.79/5.15 ) ] )
% 4.79/5.15 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 4.79/5.15 , X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 975, [ =( X, divide( identity, divide( identity, X ) ) ) ] )
% 4.79/5.15 , clause( 5, [ =( inverse( identity ), identity ) ] )
% 4.79/5.15 , 0, clause( 973, [ =( X, divide( inverse( identity ), divide( identity, X
% 4.79/5.15 ) ) ) ] )
% 4.79/5.15 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 977, [ =( X, divide( identity, inverse( X ) ) ) ] )
% 4.79/5.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.79/5.15 , 0, clause( 975, [ =( X, divide( identity, divide( identity, X ) ) ) ] )
% 4.79/5.15 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 4.79/5.15 ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 979, [ =( X, inverse( inverse( X ) ) ) ] )
% 4.79/5.15 , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 4.79/5.15 , 0, clause( 977, [ =( X, divide( identity, inverse( X ) ) ) ] )
% 4.79/5.15 , 0, 2, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 4.79/5.15 :=( X, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 980, [ =( inverse( inverse( X ) ), X ) ] )
% 4.79/5.15 , clause( 979, [ =( X, inverse( inverse( X ) ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 23, [ =( inverse( inverse( X ) ), X ) ] )
% 4.79/5.15 , clause( 980, [ =( inverse( inverse( X ) ), X ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 982, [ =( Y, divide( inverse( inverse( X ) ), divide( X, Y ) ) ) ]
% 4.79/5.15 )
% 4.79/5.15 , clause( 16, [ =( divide( inverse( inverse( X ) ), divide( X, Y ) ), Y ) ]
% 4.79/5.15 )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 984, [ =( X, divide( inverse( inverse( X ) ), identity ) ) ] )
% 4.79/5.15 , clause( 3, [ =( divide( X, X ), identity ) ] )
% 4.79/5.15 , 0, clause( 982, [ =( Y, divide( inverse( inverse( X ) ), divide( X, Y ) )
% 4.79/5.15 ) ] )
% 4.79/5.15 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 4.79/5.15 :=( Y, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 985, [ =( X, divide( X, identity ) ) ] )
% 4.79/5.15 , clause( 23, [ =( inverse( inverse( X ) ), X ) ] )
% 4.79/5.15 , 0, clause( 984, [ =( X, divide( inverse( inverse( X ) ), identity ) ) ]
% 4.79/5.15 )
% 4.79/5.15 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 4.79/5.15 ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 986, [ =( divide( X, identity ), X ) ] )
% 4.79/5.15 , clause( 985, [ =( X, divide( X, identity ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 24, [ =( divide( X, identity ), X ) ] )
% 4.79/5.15 , clause( 986, [ =( divide( X, identity ), X ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 987, [ =( X, divide( X, identity ) ) ] )
% 4.79/5.15 , clause( 24, [ =( divide( X, identity ), X ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 990, [ =( inverse( divide( divide( divide( X, Y ), identity ), X )
% 4.79/5.15 ), Y ) ] )
% 4.79/5.15 , clause( 10, [ =( divide( inverse( divide( divide( divide( X, Y ), Z ), X
% 4.79/5.15 ) ), Z ), Y ) ] )
% 4.79/5.15 , 0, clause( 987, [ =( X, divide( X, identity ) ) ] )
% 4.79/5.15 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity )] ),
% 4.79/5.15 substitution( 1, [ :=( X, inverse( divide( divide( divide( X, Y ),
% 4.79/5.15 identity ), X ) ) )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 991, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.79/5.15 , clause( 24, [ =( divide( X, identity ), X ) ] )
% 4.79/5.15 , 0, clause( 990, [ =( inverse( divide( divide( divide( X, Y ), identity )
% 4.79/5.15 , X ) ), Y ) ] )
% 4.79/5.15 , 0, 3, substitution( 0, [ :=( X, divide( X, Y ) )] ), substitution( 1, [
% 4.79/5.15 :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 25, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.79/5.15 , clause( 991, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.79/5.15 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 994, [ =( Y, divide( inverse( inverse( X ) ), divide( X, Y ) ) ) ]
% 4.79/5.15 )
% 4.79/5.15 , clause( 16, [ =( divide( inverse( inverse( X ) ), divide( X, Y ) ), Y ) ]
% 4.79/5.15 )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 995, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 4.79/5.15 , clause( 23, [ =( inverse( inverse( X ) ), X ) ] )
% 4.79/5.15 , 0, clause( 994, [ =( Y, divide( inverse( inverse( X ) ), divide( X, Y ) )
% 4.79/5.15 ) ] )
% 4.79/5.15 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 4.79/5.15 :=( Y, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 996, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 4.79/5.15 , clause( 995, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 27, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 4.79/5.15 , clause( 996, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.79/5.15 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 998, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.79/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 999, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 4.79/5.15 , clause( 23, [ =( inverse( inverse( X ) ), X ) ] )
% 4.79/5.15 , 0, clause( 998, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 4.79/5.15 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 4.79/5.15 :=( Y, inverse( Y ) )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 29, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 4.79/5.15 , clause( 999, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.79/5.15 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1002, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 4.79/5.15 , clause( 27, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1003, [ =( inverse( X ), divide( Y, multiply( Y, X ) ) ) ] )
% 4.79/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.79/5.15 , 0, clause( 1002, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 4.79/5.15 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 4.79/5.15 :=( X, Y ), :=( Y, inverse( X ) )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1004, [ =( divide( Y, multiply( Y, X ) ), inverse( X ) ) ] )
% 4.79/5.15 , clause( 1003, [ =( inverse( X ), divide( Y, multiply( Y, X ) ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 48, [ =( divide( X, multiply( X, Y ) ), inverse( Y ) ) ] )
% 4.79/5.15 , clause( 1004, [ =( divide( Y, multiply( Y, X ) ), inverse( X ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.79/5.15 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1006, [ =( divide( X, Y ), multiply( X, inverse( Y ) ) ) ] )
% 4.79/5.15 , clause( 29, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1007, [ =( divide( X, divide( divide( Y, Z ), Y ) ), multiply( X, Z
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , clause( 25, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.79/5.15 , 0, clause( 1006, [ =( divide( X, Y ), multiply( X, inverse( Y ) ) ) ] )
% 4.79/5.15 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 4.79/5.15 :=( X, X ), :=( Y, divide( divide( Y, Z ), Y ) )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 51, [ =( divide( Z, divide( divide( X, Y ), X ) ), multiply( Z, Y )
% 4.79/5.15 ) ] )
% 4.79/5.15 , clause( 1007, [ =( divide( X, divide( divide( Y, Z ), Y ) ), multiply( X
% 4.79/5.15 , Z ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 4.79/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1010, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 4.79/5.15 , clause( 25, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1011, [ =( divide( X, Y ), inverse( divide( Y, X ) ) ) ] )
% 4.79/5.15 , clause( 27, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 4.79/5.15 , 0, clause( 1010, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 4.79/5.15 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.79/5.15 :=( X, X ), :=( Y, divide( X, Y ) )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1012, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.79/5.15 , clause( 1011, [ =( divide( X, Y ), inverse( divide( Y, X ) ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 53, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.79/5.15 , clause( 1012, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.79/5.15 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1014, [ =( divide( X, Y ), multiply( X, inverse( Y ) ) ) ] )
% 4.79/5.15 , clause( 29, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1015, [ =( divide( X, divide( Y, Z ) ), multiply( X, divide( Z, Y )
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , clause( 53, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.79/5.15 , 0, clause( 1014, [ =( divide( X, Y ), multiply( X, inverse( Y ) ) ) ] )
% 4.79/5.15 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 4.79/5.15 :=( X, X ), :=( Y, divide( Y, Z ) )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1016, [ =( multiply( X, divide( Z, Y ) ), divide( X, divide( Y, Z )
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , clause( 1015, [ =( divide( X, divide( Y, Z ) ), multiply( X, divide( Z, Y
% 4.79/5.15 ) ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 57, [ =( multiply( Z, divide( Y, X ) ), divide( Z, divide( X, Y ) )
% 4.79/5.15 ) ] )
% 4.79/5.15 , clause( 1016, [ =( multiply( X, divide( Z, Y ) ), divide( X, divide( Y, Z
% 4.79/5.15 ) ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 4.79/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1018, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 4.79/5.15 , clause( 53, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1022, [ =( divide( multiply( X, Y ), X ), inverse( inverse( Y ) ) )
% 4.79/5.15 ] )
% 4.79/5.15 , clause( 48, [ =( divide( X, multiply( X, Y ) ), inverse( Y ) ) ] )
% 4.79/5.15 , 0, clause( 1018, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 4.79/5.15 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.79/5.15 :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1023, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 4.79/5.15 , clause( 23, [ =( inverse( inverse( X ) ), X ) ] )
% 4.79/5.15 , 0, clause( 1022, [ =( divide( multiply( X, Y ), X ), inverse( inverse( Y
% 4.79/5.15 ) ) ) ] )
% 4.79/5.15 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 4.79/5.15 :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 58, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 4.79/5.15 , clause( 1023, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.79/5.15 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1026, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 4.79/5.15 , clause( 53, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1030, [ =( divide( inverse( X ), Y ), inverse( multiply( Y, X ) ) )
% 4.79/5.15 ] )
% 4.79/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.79/5.15 , 0, clause( 1026, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 4.79/5.15 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 4.79/5.15 :=( X, Y ), :=( Y, inverse( X ) )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 62, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) ) ]
% 4.79/5.15 )
% 4.79/5.15 , clause( 1030, [ =( divide( inverse( X ), Y ), inverse( multiply( Y, X ) )
% 4.79/5.15 ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.79/5.15 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1034, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 4.79/5.15 , clause( 25, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1036, [ =( X, inverse( divide( Y, multiply( X, Y ) ) ) ) ] )
% 4.79/5.15 , clause( 58, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 4.79/5.15 , 0, clause( 1034, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 4.79/5.15 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.79/5.15 :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1037, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 4.79/5.15 , clause( 53, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.79/5.15 , 0, clause( 1036, [ =( X, inverse( divide( Y, multiply( X, Y ) ) ) ) ] )
% 4.79/5.15 , 0, 2, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, Y )] ),
% 4.79/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1038, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 4.79/5.15 , clause( 1037, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 63, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 4.79/5.15 , clause( 1038, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.79/5.15 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1040, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 4.79/5.15 , clause( 63, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1043, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 4.79/5.15 , clause( 29, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 4.79/5.15 , 0, clause( 1040, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 4.79/5.15 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 4.79/5.15 :=( X, X ), :=( Y, inverse( Y ) )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1044, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 4.79/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.79/5.15 , 0, clause( 1043, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 4.79/5.15 , 0, 2, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, Y )] ),
% 4.79/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1045, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 4.79/5.15 , clause( 1044, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 67, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 4.79/5.15 , clause( 1045, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.79/5.15 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1047, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 4.79/5.15 , clause( 67, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1050, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 4.79/5.15 , clause( 58, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 4.79/5.15 , 0, clause( 1047, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 4.79/5.15 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 4.79/5.15 :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 69, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 4.79/5.15 , clause( 1050, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.79/5.15 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1051, [ =( divide( X, Y ), multiply( X, inverse( Y ) ) ) ] )
% 4.79/5.15 , clause( 29, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1052, [ =( divide( X, Y ), multiply( inverse( Y ), X ) ) ] )
% 4.79/5.15 , clause( 69, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 4.79/5.15 , 0, clause( 1051, [ =( divide( X, Y ), multiply( X, inverse( Y ) ) ) ] )
% 4.79/5.15 , 0, 4, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ),
% 4.79/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1055, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 4.79/5.15 , clause( 1052, [ =( divide( X, Y ), multiply( inverse( Y ), X ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 75, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 4.79/5.15 , clause( 1055, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.79/5.15 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1057, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 4.79/5.15 , clause( 75, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1058, [ =( divide( X, divide( Y, Z ) ), multiply( divide( Z, Y ), X
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , clause( 53, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.79/5.15 , 0, clause( 1057, [ =( divide( Y, X ), multiply( inverse( X ), Y ) ) ] )
% 4.79/5.15 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 4.79/5.15 :=( X, divide( Y, Z ) ), :=( Y, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1059, [ =( multiply( divide( Z, Y ), X ), divide( X, divide( Y, Z )
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , clause( 1058, [ =( divide( X, divide( Y, Z ) ), multiply( divide( Z, Y )
% 4.79/5.15 , X ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 77, [ =( multiply( divide( Y, X ), Z ), divide( Z, divide( X, Y ) )
% 4.79/5.15 ) ] )
% 4.79/5.15 , clause( 1059, [ =( multiply( divide( Z, Y ), X ), divide( X, divide( Y, Z
% 4.79/5.15 ) ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 4.79/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1068, [ ~( =( a2, a2 ) ), ~( =( multiply( a3, multiply( b3, c3 ) )
% 4.79/5.15 , multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ),
% 4.79/5.15 multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , clause( 23, [ =( inverse( inverse( X ) ), X ) ] )
% 4.79/5.15 , 0, clause( 18, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.79/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.79/5.15 ) ) ), ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 4.79/5.15 , 2, 2, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqrefl(
% 4.79/5.15 clause( 1069, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.79/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.79/5.15 ) ) ) ] )
% 4.79/5.15 , clause( 1068, [ ~( =( a2, a2 ) ), ~( =( multiply( a3, multiply( b3, c3 )
% 4.79/5.15 ), multiply( multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ),
% 4.79/5.15 multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 106, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 4.79/5.15 a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , clause( 1069, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.79/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.79/5.15 ) ) ) ] )
% 4.79/5.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 4.79/5.15 ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1074, [ =( Y, divide( multiply( X, Y ), X ) ) ] )
% 4.79/5.15 , clause( 58, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1081, [ =( X, divide( divide( X, divide( Z, Y ) ), divide( Y, Z ) )
% 4.79/5.15 ) ] )
% 4.79/5.15 , clause( 77, [ =( multiply( divide( Y, X ), Z ), divide( Z, divide( X, Y )
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , 0, clause( 1074, [ =( Y, divide( multiply( X, Y ), X ) ) ] )
% 4.79/5.15 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 4.79/5.15 substitution( 1, [ :=( X, divide( Y, Z ) ), :=( Y, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1082, [ =( divide( divide( X, divide( Y, Z ) ), divide( Z, Y ) ), X
% 4.79/5.15 ) ] )
% 4.79/5.15 , clause( 1081, [ =( X, divide( divide( X, divide( Z, Y ) ), divide( Y, Z )
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 126, [ =( divide( divide( Z, divide( Y, X ) ), divide( X, Y ) ), Z
% 4.79/5.15 ) ] )
% 4.79/5.15 , clause( 1082, [ =( divide( divide( X, divide( Y, Z ) ), divide( Z, Y ) )
% 4.79/5.15 , X ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 4.79/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1088, [ =( inverse( multiply( Y, multiply( divide( X, Y ), inverse(
% 4.79/5.15 Z ) ) ) ), divide( Z, X ) ) ] )
% 4.79/5.15 , clause( 62, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) )
% 4.79/5.15 ] )
% 4.79/5.15 , 0, clause( 20, [ =( divide( inverse( multiply( divide( Y, Z ), inverse( X
% 4.79/5.15 ) ) ), Z ), divide( X, Y ) ) ] )
% 4.79/5.15 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, multiply( divide( X, Y ),
% 4.79/5.15 inverse( Z ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y
% 4.79/5.15 )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1089, [ =( inverse( multiply( X, divide( divide( Y, X ), Z ) ) ),
% 4.79/5.15 divide( Z, Y ) ) ] )
% 4.79/5.15 , clause( 29, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 4.79/5.15 , 0, clause( 1088, [ =( inverse( multiply( Y, multiply( divide( X, Y ),
% 4.79/5.15 inverse( Z ) ) ) ), divide( Z, X ) ) ] )
% 4.79/5.15 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, divide( Y, X ) )] ),
% 4.79/5.15 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1090, [ =( inverse( divide( X, divide( Z, divide( Y, X ) ) ) ),
% 4.79/5.15 divide( Z, Y ) ) ] )
% 4.79/5.15 , clause( 57, [ =( multiply( Z, divide( Y, X ) ), divide( Z, divide( X, Y )
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , 0, clause( 1089, [ =( inverse( multiply( X, divide( divide( Y, X ), Z ) )
% 4.79/5.15 ), divide( Z, Y ) ) ] )
% 4.79/5.15 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, divide( Y, X ) ), :=( Z, X )] )
% 4.79/5.15 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1091, [ =( divide( divide( Y, divide( Z, X ) ), X ), divide( Y, Z )
% 4.79/5.15 ) ] )
% 4.79/5.15 , clause( 53, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 4.79/5.15 , 0, clause( 1090, [ =( inverse( divide( X, divide( Z, divide( Y, X ) ) ) )
% 4.79/5.15 , divide( Z, Y ) ) ] )
% 4.79/5.15 , 0, 1, substitution( 0, [ :=( X, divide( Y, divide( Z, X ) ) ), :=( Y, X )] )
% 4.79/5.15 , substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 147, [ =( divide( divide( X, divide( Y, Z ) ), Z ), divide( X, Y )
% 4.79/5.15 ) ] )
% 4.79/5.15 , clause( 1091, [ =( divide( divide( Y, divide( Z, X ) ), X ), divide( Y, Z
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 4.79/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1093, [ =( divide( X, Y ), divide( divide( X, divide( Y, Z ) ), Z )
% 4.79/5.15 ) ] )
% 4.79/5.15 , clause( 147, [ =( divide( divide( X, divide( Y, Z ) ), Z ), divide( X, Y
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1098, [ =( divide( X, divide( Y, divide( Z, T ) ) ), divide( divide(
% 4.79/5.15 X, divide( Y, Z ) ), T ) ) ] )
% 4.79/5.15 , clause( 147, [ =( divide( divide( X, divide( Y, Z ) ), Z ), divide( X, Y
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , 0, clause( 1093, [ =( divide( X, Y ), divide( divide( X, divide( Y, Z ) )
% 4.79/5.15 , Z ) ) ] )
% 4.79/5.15 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 4.79/5.15 substitution( 1, [ :=( X, X ), :=( Y, divide( Y, divide( Z, T ) ) ), :=(
% 4.79/5.15 Z, T )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 149, [ =( divide( T, divide( X, divide( Y, Z ) ) ), divide( divide(
% 4.79/5.15 T, divide( X, Y ) ), Z ) ) ] )
% 4.79/5.15 , clause( 1098, [ =( divide( X, divide( Y, divide( Z, T ) ) ), divide(
% 4.79/5.15 divide( X, divide( Y, Z ) ), T ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 4.79/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1104, [ =( divide( X, Y ), divide( divide( X, divide( Y, Z ) ), Z )
% 4.79/5.15 ) ] )
% 4.79/5.15 , clause( 147, [ =( divide( divide( X, divide( Y, Z ) ), Z ), divide( X, Y
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1109, [ =( divide( X, divide( Y, divide( Z, T ) ) ), divide( divide(
% 4.79/5.15 X, Y ), divide( T, Z ) ) ) ] )
% 4.79/5.15 , clause( 126, [ =( divide( divide( Z, divide( Y, X ) ), divide( X, Y ) ),
% 4.79/5.15 Z ) ] )
% 4.79/5.15 , 0, clause( 1104, [ =( divide( X, Y ), divide( divide( X, divide( Y, Z ) )
% 4.79/5.15 , Z ) ) ] )
% 4.79/5.15 , 0, 11, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y )] ),
% 4.79/5.15 substitution( 1, [ :=( X, X ), :=( Y, divide( Y, divide( Z, T ) ) ), :=(
% 4.79/5.15 Z, divide( T, Z ) )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1110, [ =( divide( divide( X, divide( Y, Z ) ), T ), divide( divide(
% 4.79/5.15 X, Y ), divide( T, Z ) ) ) ] )
% 4.79/5.15 , clause( 149, [ =( divide( T, divide( X, divide( Y, Z ) ) ), divide(
% 4.79/5.15 divide( T, divide( X, Y ) ), Z ) ) ] )
% 4.79/5.15 , 0, clause( 1109, [ =( divide( X, divide( Y, divide( Z, T ) ) ), divide(
% 4.79/5.15 divide( X, Y ), divide( T, Z ) ) ) ] )
% 4.79/5.15 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 4.79/5.15 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.79/5.15 ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1111, [ =( divide( divide( X, Y ), divide( T, Z ) ), divide( divide(
% 4.79/5.15 X, divide( Y, Z ) ), T ) ) ] )
% 4.79/5.15 , clause( 1110, [ =( divide( divide( X, divide( Y, Z ) ), T ), divide(
% 4.79/5.15 divide( X, Y ), divide( T, Z ) ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.79/5.15 ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 153, [ =( divide( divide( X, Y ), divide( T, Z ) ), divide( divide(
% 4.79/5.15 X, divide( Y, Z ) ), T ) ) ] )
% 4.79/5.15 , clause( 1111, [ =( divide( divide( X, Y ), divide( T, Z ) ), divide(
% 4.79/5.15 divide( X, divide( Y, Z ) ), T ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.79/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1113, [ =( divide( X, divide( Z, Y ) ), multiply( X, divide( Y, Z )
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , clause( 57, [ =( multiply( Z, divide( Y, X ) ), divide( Z, divide( X, Y )
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1120, [ =( divide( X, divide( Y, divide( Z, divide( T, Y ) ) ) ),
% 4.79/5.15 multiply( X, divide( Z, T ) ) ) ] )
% 4.79/5.15 , clause( 147, [ =( divide( divide( X, divide( Y, Z ) ), Z ), divide( X, Y
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , 0, clause( 1113, [ =( divide( X, divide( Z, Y ) ), multiply( X, divide( Y
% 4.79/5.15 , Z ) ) ) ] )
% 4.79/5.15 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y )] ),
% 4.79/5.15 substitution( 1, [ :=( X, X ), :=( Y, divide( Z, divide( T, Y ) ) ), :=(
% 4.79/5.15 Z, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1121, [ =( divide( X, divide( Y, divide( Z, divide( T, Y ) ) ) ),
% 4.79/5.15 divide( X, divide( T, Z ) ) ) ] )
% 4.79/5.15 , clause( 57, [ =( multiply( Z, divide( Y, X ) ), divide( Z, divide( X, Y )
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , 0, clause( 1120, [ =( divide( X, divide( Y, divide( Z, divide( T, Y ) ) )
% 4.79/5.15 ), multiply( X, divide( Z, T ) ) ) ] )
% 4.79/5.15 , 0, 10, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X )] ),
% 4.79/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1122, [ =( divide( divide( X, divide( Y, Z ) ), divide( T, Y ) ),
% 4.79/5.15 divide( X, divide( T, Z ) ) ) ] )
% 4.79/5.15 , clause( 149, [ =( divide( T, divide( X, divide( Y, Z ) ) ), divide(
% 4.79/5.15 divide( T, divide( X, Y ) ), Z ) ) ] )
% 4.79/5.15 , 0, clause( 1121, [ =( divide( X, divide( Y, divide( Z, divide( T, Y ) ) )
% 4.79/5.15 ), divide( X, divide( T, Z ) ) ) ] )
% 4.79/5.15 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, divide( T, Y ) )
% 4.79/5.15 , :=( T, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 4.79/5.15 :=( T, T )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1124, [ =( divide( divide( X, divide( divide( Y, Z ), Y ) ), T ),
% 4.79/5.15 divide( X, divide( T, Z ) ) ) ] )
% 4.79/5.15 , clause( 153, [ =( divide( divide( X, Y ), divide( T, Z ) ), divide(
% 4.79/5.15 divide( X, divide( Y, Z ) ), T ) ) ] )
% 4.79/5.15 , 0, clause( 1122, [ =( divide( divide( X, divide( Y, Z ) ), divide( T, Y )
% 4.79/5.15 ), divide( X, divide( T, Z ) ) ) ] )
% 4.79/5.15 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, divide( Y, Z ) ), :=( Z, Y )
% 4.79/5.15 , :=( T, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),
% 4.79/5.15 :=( T, T )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1125, [ =( divide( multiply( X, Z ), T ), divide( X, divide( T, Z )
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , clause( 51, [ =( divide( Z, divide( divide( X, Y ), X ) ), multiply( Z, Y
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , 0, clause( 1124, [ =( divide( divide( X, divide( divide( Y, Z ), Y ) ), T
% 4.79/5.15 ), divide( X, divide( T, Z ) ) ) ] )
% 4.79/5.15 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 4.79/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1126, [ =( divide( X, divide( Z, Y ) ), divide( multiply( X, Y ), Z
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , clause( 1125, [ =( divide( multiply( X, Z ), T ), divide( X, divide( T, Z
% 4.79/5.15 ) ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 4.79/5.15 ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 154, [ =( divide( T, divide( Y, X ) ), divide( multiply( T, X ), Y
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , clause( 1126, [ =( divide( X, divide( Z, Y ) ), divide( multiply( X, Y )
% 4.79/5.15 , Z ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 4.79/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1128, [ =( divide( multiply( X, Z ), Y ), divide( X, divide( Y, Z )
% 4.79/5.15 ) ) ] )
% 4.79/5.15 , clause( 154, [ =( divide( T, divide( Y, X ) ), divide( multiply( T, X ),
% 4.79/5.15 Y ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 4.79/5.15 ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1133, [ =( divide( multiply( X, Y ), inverse( Z ) ), divide( X,
% 4.79/5.15 inverse( multiply( Y, Z ) ) ) ) ] )
% 4.79/5.15 , clause( 62, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) )
% 4.79/5.15 ] )
% 4.79/5.15 , 0, clause( 1128, [ =( divide( multiply( X, Z ), Y ), divide( X, divide( Y
% 4.79/5.15 , Z ) ) ) ] )
% 4.79/5.15 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 4.79/5.15 :=( X, X ), :=( Y, inverse( Z ) ), :=( Z, Y )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1135, [ =( divide( multiply( X, Y ), inverse( Z ) ), multiply( X,
% 4.79/5.15 multiply( Y, Z ) ) ) ] )
% 4.79/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.79/5.15 , 0, clause( 1133, [ =( divide( multiply( X, Y ), inverse( Z ) ), divide( X
% 4.79/5.15 , inverse( multiply( Y, Z ) ) ) ) ] )
% 4.79/5.15 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, Z ) )] ),
% 4.79/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1137, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 4.79/5.15 Y, Z ) ) ) ] )
% 4.79/5.15 , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 4.79/5.15 , 0, clause( 1135, [ =( divide( multiply( X, Y ), inverse( Z ) ), multiply(
% 4.79/5.15 X, multiply( Y, Z ) ) ) ] )
% 4.79/5.15 , 0, 1, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, Z )] ),
% 4.79/5.15 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1138, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 4.79/5.15 Y ), Z ) ) ] )
% 4.79/5.15 , clause( 1137, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 4.79/5.15 Y, Z ) ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 169, [ =( multiply( Z, multiply( Y, X ) ), multiply( multiply( Z, Y
% 4.79/5.15 ), X ) ) ] )
% 4.79/5.15 , clause( 1138, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 4.79/5.15 , Y ), Z ) ) ] )
% 4.79/5.15 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 4.79/5.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1143, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 4.79/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.79/5.15 ) ) ) ] )
% 4.79/5.15 , clause( 169, [ =( multiply( Z, multiply( Y, X ) ), multiply( multiply( Z
% 4.79/5.15 , Y ), X ) ) ] )
% 4.79/5.15 , 0, clause( 106, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 4.79/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.79/5.15 ) ) ) ] )
% 4.79/5.15 , 0, 2, substitution( 0, [ :=( X, c3 ), :=( Y, b3 ), :=( Z, a3 )] ),
% 4.79/5.15 substitution( 1, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqrefl(
% 4.79/5.15 clause( 1144, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , clause( 1143, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply(
% 4.79/5.15 multiply( a3, b3 ), c3 ) ) ), ~( =( multiply( a4, b4 ), multiply( b4, a4
% 4.79/5.15 ) ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 856, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , clause( 1144, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqswap(
% 4.79/5.15 clause( 1146, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 4.79/5.15 , clause( 856, [ ~( =( multiply( a4, b4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 paramod(
% 4.79/5.15 clause( 1148, [ ~( =( multiply( b4, a4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , clause( 69, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 4.79/5.15 , 0, clause( 1146, [ ~( =( multiply( b4, a4 ), multiply( a4, b4 ) ) ) ] )
% 4.79/5.15 , 0, 5, substitution( 0, [ :=( X, b4 ), :=( Y, a4 )] ), substitution( 1, [] )
% 4.79/5.15 ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 eqrefl(
% 4.79/5.15 clause( 1151, [] )
% 4.79/5.15 , clause( 1148, [ ~( =( multiply( b4, a4 ), multiply( b4, a4 ) ) ) ] )
% 4.79/5.15 , 0, substitution( 0, [] )).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 subsumption(
% 4.79/5.15 clause( 857, [] )
% 4.79/5.15 , clause( 1151, [] )
% 4.79/5.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 end.
% 4.79/5.15
% 4.79/5.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.79/5.15
% 4.79/5.15 Memory use:
% 4.79/5.15
% 4.79/5.15 space for terms: 17056
% 4.79/5.15 space for clauses: 74825
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 clauses generated: 14265
% 4.79/5.15 clauses kept: 858
% 4.79/5.15 clauses selected: 86
% 4.79/5.15 clauses deleted: 106
% 4.79/5.15 clauses inuse deleted: 0
% 4.79/5.15
% 4.79/5.15 subsentry: 12085
% 4.79/5.15 literals s-matched: 10045
% 4.79/5.15 literals matched: 10033
% 4.79/5.15 full subsumption: 0
% 4.79/5.15
% 4.79/5.15 checksum: -1554675724
% 4.79/5.15
% 4.79/5.15
% 4.79/5.15 Bliksem ended
%------------------------------------------------------------------------------