TSTP Solution File: BOO015-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO015-2 : TPTP v8.1.0. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 : Thu Jul 14 23:30:40 EDT 2022
% Result : Unsatisfiable 0.87s 1.28s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO015-2 : TPTP v8.1.0. Bugfixed v1.0.1.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n024.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 : Wed Jun 1 23:46:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.87/1.28 *** allocated 10000 integers for termspace/termends
% 0.87/1.28 *** allocated 10000 integers for clauses
% 0.87/1.28 *** allocated 10000 integers for justifications
% 0.87/1.28 Bliksem 1.12
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 Automatic Strategy Selection
% 0.87/1.28
% 0.87/1.28 Clauses:
% 0.87/1.28 [
% 0.87/1.28 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.87/1.28 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.87/1.28 [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add( Y, Z ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.87/1.28 [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ],
% 0.87/1.28 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.87/1.28 [ =( multiply( inverse( X ), X ), 'additive_identity' ) ],
% 0.87/1.28 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.87/1.28 [ =( multiply( 'multiplicative_identity', X ), X ) ],
% 0.87/1.28 [ =( add( X, 'additive_identity' ), X ) ],
% 0.87/1.28 [ =( add( 'additive_identity', X ), X ) ],
% 0.87/1.28 [ =( multiply( a, b ), c ) ],
% 0.87/1.28 [ =( add( inverse( a ), inverse( b ) ), d ) ],
% 0.87/1.28 [ ~( =( inverse( c ), d ) ) ]
% 0.87/1.28 ] .
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 percentage equality = 1.000000, percentage horn = 1.000000
% 0.87/1.28 This is a pure equality problem
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 Options Used:
% 0.87/1.28
% 0.87/1.28 useres = 1
% 0.87/1.28 useparamod = 1
% 0.87/1.28 useeqrefl = 1
% 0.87/1.28 useeqfact = 1
% 0.87/1.28 usefactor = 1
% 0.87/1.28 usesimpsplitting = 0
% 0.87/1.28 usesimpdemod = 5
% 0.87/1.28 usesimpres = 3
% 0.87/1.28
% 0.87/1.28 resimpinuse = 1000
% 0.87/1.28 resimpclauses = 20000
% 0.87/1.28 substype = eqrewr
% 0.87/1.28 backwardsubs = 1
% 0.87/1.28 selectoldest = 5
% 0.87/1.28
% 0.87/1.28 litorderings [0] = split
% 0.87/1.28 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.28
% 0.87/1.28 termordering = kbo
% 0.87/1.28
% 0.87/1.28 litapriori = 0
% 0.87/1.28 termapriori = 1
% 0.87/1.28 litaposteriori = 0
% 0.87/1.28 termaposteriori = 0
% 0.87/1.28 demodaposteriori = 0
% 0.87/1.28 ordereqreflfact = 0
% 0.87/1.28
% 0.87/1.28 litselect = negord
% 0.87/1.28
% 0.87/1.28 maxweight = 15
% 0.87/1.28 maxdepth = 30000
% 0.87/1.28 maxlength = 115
% 0.87/1.28 maxnrvars = 195
% 0.87/1.28 excuselevel = 1
% 0.87/1.28 increasemaxweight = 1
% 0.87/1.28
% 0.87/1.28 maxselected = 10000000
% 0.87/1.28 maxnrclauses = 10000000
% 0.87/1.28
% 0.87/1.28 showgenerated = 0
% 0.87/1.28 showkept = 0
% 0.87/1.28 showselected = 0
% 0.87/1.28 showdeleted = 0
% 0.87/1.28 showresimp = 1
% 0.87/1.28 showstatus = 2000
% 0.87/1.28
% 0.87/1.28 prologoutput = 1
% 0.87/1.28 nrgoals = 5000000
% 0.87/1.28 totalproof = 1
% 0.87/1.28
% 0.87/1.28 Symbols occurring in the translation:
% 0.87/1.28
% 0.87/1.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.28 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.87/1.28 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.87/1.28 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.28 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.28 add [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.87/1.28 multiply [42, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.87/1.28 inverse [44, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.87/1.28 'multiplicative_identity' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.87/1.28 'additive_identity' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.87/1.28 a [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.87/1.28 b [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.87/1.28 c [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.87/1.28 d [50, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 Starting Search:
% 0.87/1.28
% 0.87/1.28 Resimplifying inuse:
% 0.87/1.28 Done
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 Intermediate Status:
% 0.87/1.28 Generated: 21763
% 0.87/1.28 Kept: 2011
% 0.87/1.28 Inuse: 306
% 0.87/1.28 Deleted: 40
% 0.87/1.28 Deletedinuse: 6
% 0.87/1.28
% 0.87/1.28 Resimplifying inuse:
% 0.87/1.28 Done
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 Bliksems!, er is een bewijs:
% 0.87/1.28 % SZS status Unsatisfiable
% 0.87/1.28 % SZS output start Refutation
% 0.87/1.28
% 0.87/1.28 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y )
% 0.87/1.28 , Z ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.87/1.28 Z ) ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 0.87/1.28 , Y ), Z ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.87/1.28 Y, Z ) ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 14, [ =( multiply( a, b ), c ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 15, [ =( add( inverse( a ), inverse( b ) ), d ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 16, [ ~( =( inverse( c ), d ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 18, [ =( multiply( b, a ), c ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 20, [ =( add( multiply( X, Y ), inverse( X ) ), add( Y, inverse( X
% 0.87/1.28 ) ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 22, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 23, [ =( add( multiply( Y, inverse( X ) ), X ), add( Y, X ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 26, [ =( multiply( add( Z, Y ), add( Y, X ) ), add( multiply( Z, X
% 0.87/1.28 ), Y ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 29, [ =( add( multiply( inverse( a ), X ), inverse( b ) ), multiply(
% 0.87/1.28 d, add( X, inverse( b ) ) ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 31, [ =( add( inverse( b ), inverse( a ) ), d ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 32, [ =( add( multiply( inverse( b ), X ), inverse( a ) ), multiply(
% 0.87/1.28 d, add( X, inverse( a ) ) ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 34, [ =( add( multiply( multiply( inverse( X ), Y ), Z ), X ), add(
% 0.87/1.28 multiply( Y, Z ), X ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 36, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 38, [ =( add( X, X ), X ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 40, [ =( add( 'multiplicative_identity', X ),
% 0.87/1.28 'multiplicative_identity' ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 41, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X ) ) ]
% 0.87/1.28 )
% 0.87/1.28 .
% 0.87/1.28 clause( 42, [ =( multiply( add( Y, X ), X ), add( multiply( Y, X ), X ) ) ]
% 0.87/1.28 )
% 0.87/1.28 .
% 0.87/1.28 clause( 44, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) ) ]
% 0.87/1.28 )
% 0.87/1.28 .
% 0.87/1.28 clause( 52, [ =( add( inverse( X ), multiply( Y, X ) ), add( inverse( X ),
% 0.87/1.28 Y ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 56, [ =( add( X, 'multiplicative_identity' ),
% 0.87/1.28 'multiplicative_identity' ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 61, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 79, [ =( multiply( add( X, Y ), inverse( X ) ), multiply( Y,
% 0.87/1.28 inverse( X ) ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 86, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 87, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 94, [ =( add( a, c ), a ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 96, [ =( add( b, c ), b ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 100, [ =( add( a, multiply( X, c ) ), a ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 115, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y ) )
% 0.87/1.28 ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 116, [ =( multiply( inverse( X ), add( X, Y ) ), multiply( inverse(
% 0.87/1.28 X ), Y ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 121, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 138, [ =( add( multiply( multiply( X, Y ), Z ), X ), X ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 139, [ =( add( multiply( Z, multiply( X, Y ) ), X ), X ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 144, [ =( inverse( inverse( X ) ), X ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 291, [ =( multiply( d, inverse( b ) ), inverse( b ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 298, [ =( add( d, b ), 'multiplicative_identity' ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 312, [ =( add( b, d ), 'multiplicative_identity' ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 324, [ =( multiply( d, inverse( a ) ), inverse( a ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 331, [ =( add( d, a ), 'multiplicative_identity' ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 340, [ =( add( multiply( X, a ), d ), add( X, d ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 418, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 450, [ =( add( X, add( Y, X ) ), add( Y, X ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 453, [ =( multiply( c, b ), c ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 465, [ =( add( b, inverse( c ) ), 'multiplicative_identity' ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 494, [ =( add( inverse( c ), b ), 'multiplicative_identity' ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 495, [ =( multiply( add( X, Y ), X ), X ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 497, [ =( add( inverse( c ), multiply( X, b ) ), add( inverse( c )
% 0.87/1.28 , X ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 510, [ =( multiply( X, multiply( multiply( X, Y ), Z ) ), multiply(
% 0.87/1.28 multiply( X, Y ), Z ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 1073, [ =( add( c, d ), 'multiplicative_identity' ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 1084, [ =( add( d, c ), 'multiplicative_identity' ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 1089, [ =( add( d, multiply( c, X ) ), add( d, X ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 1101, [ =( add( d, inverse( c ) ), d ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 1105, [ =( add( inverse( c ), d ), d ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 1526, [ =( multiply( inverse( a ), b ), multiply( d, b ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 2631, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.87/1.28 Y ), Z ) ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 2689, [ =( multiply( multiply( inverse( a ), X ), c ),
% 0.87/1.28 'additive_identity' ) ] )
% 0.87/1.28 .
% 0.87/1.28 clause( 2700, [ =( multiply( multiply( d, b ), c ), 'additive_identity' ) ]
% 0.87/1.28 )
% 0.87/1.28 .
% 0.87/1.28 clause( 2714, [] )
% 0.87/1.28 .
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 % SZS output end Refutation
% 0.87/1.28 found a proof!
% 0.87/1.28
% 0.87/1.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.28
% 0.87/1.28 initialclauses(
% 0.87/1.28 [ clause( 2716, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.87/1.28 , clause( 2717, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.87/1.28 , clause( 2718, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add(
% 0.87/1.28 Y, Z ) ) ) ] )
% 0.87/1.28 , clause( 2719, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.87/1.28 X, Z ) ) ) ] )
% 0.87/1.28 , clause( 2720, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.87/1.28 multiply( Y, Z ) ) ) ] )
% 0.87/1.28 , clause( 2721, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.87/1.28 multiply( X, Z ) ) ) ] )
% 0.87/1.28 , clause( 2722, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 2723, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 2724, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 2725, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 2726, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.87/1.28 , clause( 2727, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.87/1.28 , clause( 2728, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.87/1.28 , clause( 2729, [ =( add( 'additive_identity', X ), X ) ] )
% 0.87/1.28 , clause( 2730, [ =( multiply( a, b ), c ) ] )
% 0.87/1.28 , clause( 2731, [ =( add( inverse( a ), inverse( b ) ), d ) ] )
% 0.87/1.28 , clause( 2732, [ ~( =( inverse( c ), d ) ) ] )
% 0.87/1.28 ] ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.87/1.28 , clause( 2716, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.87/1.28 , clause( 2717, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2733, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X,
% 0.87/1.28 Y ), Z ) ) ] )
% 0.87/1.28 , clause( 2718, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add(
% 0.87/1.28 Y, Z ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y )
% 0.87/1.28 , Z ) ) ] )
% 0.87/1.28 , clause( 2733, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X
% 0.87/1.28 , Y ), Z ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2735, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.87/1.28 Y, Z ) ) ) ] )
% 0.87/1.28 , clause( 2719, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.87/1.28 X, Z ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.87/1.28 Z ) ) ) ] )
% 0.87/1.28 , clause( 2735, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.87/1.28 Y, Z ) ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2738, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.87/1.28 X, Y ), Z ) ) ] )
% 0.87/1.28 , clause( 2720, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.87/1.28 multiply( Y, Z ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 0.87/1.28 , Y ), Z ) ) ] )
% 0.87/1.28 , clause( 2738, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply(
% 0.87/1.28 add( X, Y ), Z ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2742, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.87/1.28 add( Y, Z ) ) ) ] )
% 0.87/1.28 , clause( 2721, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.87/1.28 multiply( X, Z ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.87/1.28 Y, Z ) ) ) ] )
% 0.87/1.28 , clause( 2742, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X
% 0.87/1.28 , add( Y, Z ) ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 2722, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ]
% 0.87/1.28 )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 2723, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ]
% 0.87/1.28 )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.87/1.28 , clause( 2724, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ]
% 0.87/1.28 )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.87/1.28 , clause( 2725, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ]
% 0.87/1.28 )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.87/1.28 , clause( 2726, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.87/1.28 , clause( 2727, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.87/1.28 , clause( 2728, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.87/1.28 , clause( 2729, [ =( add( 'additive_identity', X ), X ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 14, [ =( multiply( a, b ), c ) ] )
% 0.87/1.28 , clause( 2730, [ =( multiply( a, b ), c ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 15, [ =( add( inverse( a ), inverse( b ) ), d ) ] )
% 0.87/1.28 , clause( 2731, [ =( add( inverse( a ), inverse( b ) ), d ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 16, [ ~( =( inverse( c ), d ) ) ] )
% 0.87/1.28 , clause( 2732, [ ~( =( inverse( c ), d ) ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2853, [ =( c, multiply( a, b ) ) ] )
% 0.87/1.28 , clause( 14, [ =( multiply( a, b ), c ) ] )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2854, [ =( c, multiply( b, a ) ) ] )
% 0.87/1.28 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.87/1.28 , 0, clause( 2853, [ =( c, multiply( a, b ) ) ] )
% 0.87/1.28 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2857, [ =( multiply( b, a ), c ) ] )
% 0.87/1.28 , clause( 2854, [ =( c, multiply( b, a ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 18, [ =( multiply( b, a ), c ) ] )
% 0.87/1.28 , clause( 2857, [ =( multiply( b, a ), c ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2859, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.87/1.28 Z, Y ) ) ) ] )
% 0.87/1.28 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.87/1.28 ), Z ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2862, [ =( add( multiply( X, Y ), inverse( X ) ), multiply(
% 0.87/1.28 'multiplicative_identity', add( Y, inverse( X ) ) ) ) ] )
% 0.87/1.28 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, clause( 2859, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.87/1.28 add( Z, Y ) ) ) ] )
% 0.87/1.28 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.28 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2864, [ =( add( multiply( X, Y ), inverse( X ) ), add( Y, inverse(
% 0.87/1.28 X ) ) ) ] )
% 0.87/1.28 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.87/1.28 , 0, clause( 2862, [ =( add( multiply( X, Y ), inverse( X ) ), multiply(
% 0.87/1.28 'multiplicative_identity', add( Y, inverse( X ) ) ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, add( Y, inverse( X ) ) )] ),
% 0.87/1.28 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 20, [ =( add( multiply( X, Y ), inverse( X ) ), add( Y, inverse( X
% 0.87/1.28 ) ) ) ] )
% 0.87/1.28 , clause( 2864, [ =( add( multiply( X, Y ), inverse( X ) ), add( Y, inverse(
% 0.87/1.28 X ) ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2867, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.87/1.28 Z, Y ) ) ) ] )
% 0.87/1.28 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.87/1.28 ), Z ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2869, [ =( add( multiply( inverse( X ), Y ), X ), multiply(
% 0.87/1.28 'multiplicative_identity', add( Y, X ) ) ) ] )
% 0.87/1.28 , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, clause( 2867, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.87/1.28 add( Z, Y ) ) ) ] )
% 0.87/1.28 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.87/1.28 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2871, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.87/1.28 , 0, clause( 2869, [ =( add( multiply( inverse( X ), Y ), X ), multiply(
% 0.87/1.28 'multiplicative_identity', add( Y, X ) ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, add( Y, X ) )] ), substitution( 1, [ :=(
% 0.87/1.28 X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 22, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ] )
% 0.87/1.28 , clause( 2871, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2874, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.87/1.28 Z, Y ) ) ) ] )
% 0.87/1.28 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.87/1.28 ), Z ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2877, [ =( add( multiply( X, inverse( Y ) ), Y ), multiply( add( X
% 0.87/1.28 , Y ), 'multiplicative_identity' ) ) ] )
% 0.87/1.28 , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, clause( 2874, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.87/1.28 add( Z, Y ) ) ) ] )
% 0.87/1.28 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.28 :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2878, [ =( add( multiply( X, inverse( Y ) ), Y ), add( X, Y ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.87/1.28 , 0, clause( 2877, [ =( add( multiply( X, inverse( Y ) ), Y ), multiply(
% 0.87/1.28 add( X, Y ), 'multiplicative_identity' ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, add( X, Y ) )] ), substitution( 1, [ :=(
% 0.87/1.28 X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 23, [ =( add( multiply( Y, inverse( X ) ), X ), add( Y, X ) ) ] )
% 0.87/1.28 , clause( 2878, [ =( add( multiply( X, inverse( Y ) ), Y ), add( X, Y ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2880, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.87/1.28 Z, Y ) ) ) ] )
% 0.87/1.28 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.87/1.28 ), Z ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2883, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add(
% 0.87/1.28 Z, Y ) ) ) ] )
% 0.87/1.28 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.87/1.28 , 0, clause( 2880, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.87/1.28 add( Z, Y ) ) ) ] )
% 0.87/1.28 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.87/1.28 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2896, [ =( multiply( add( X, Z ), add( Z, Y ) ), add( multiply( X,
% 0.87/1.28 Y ), Z ) ) ] )
% 0.87/1.28 , clause( 2883, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add(
% 0.87/1.28 Z, Y ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 26, [ =( multiply( add( Z, Y ), add( Y, X ) ), add( multiply( Z, X
% 0.87/1.28 ), Y ) ) ] )
% 0.87/1.28 , clause( 2896, [ =( multiply( add( X, Z ), add( Z, Y ) ), add( multiply( X
% 0.87/1.28 , Y ), Z ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.87/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2898, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.87/1.28 Z, Y ) ) ) ] )
% 0.87/1.28 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.87/1.28 ), Z ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2899, [ =( add( multiply( inverse( a ), X ), inverse( b ) ),
% 0.87/1.28 multiply( d, add( X, inverse( b ) ) ) ) ] )
% 0.87/1.28 , clause( 15, [ =( add( inverse( a ), inverse( b ) ), d ) ] )
% 0.87/1.28 , 0, clause( 2898, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.87/1.28 add( Z, Y ) ) ) ] )
% 0.87/1.28 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( a ) ),
% 0.87/1.28 :=( Y, inverse( b ) ), :=( Z, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 29, [ =( add( multiply( inverse( a ), X ), inverse( b ) ), multiply(
% 0.87/1.28 d, add( X, inverse( b ) ) ) ) ] )
% 0.87/1.28 , clause( 2899, [ =( add( multiply( inverse( a ), X ), inverse( b ) ),
% 0.87/1.28 multiply( d, add( X, inverse( b ) ) ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2903, [ =( d, add( inverse( a ), inverse( b ) ) ) ] )
% 0.87/1.28 , clause( 15, [ =( add( inverse( a ), inverse( b ) ), d ) ] )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2904, [ =( d, add( inverse( b ), inverse( a ) ) ) ] )
% 0.87/1.28 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.87/1.28 , 0, clause( 2903, [ =( d, add( inverse( a ), inverse( b ) ) ) ] )
% 0.87/1.28 , 0, 2, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, inverse( b ) )] )
% 0.87/1.28 , substitution( 1, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2907, [ =( add( inverse( b ), inverse( a ) ), d ) ] )
% 0.87/1.28 , clause( 2904, [ =( d, add( inverse( b ), inverse( a ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 31, [ =( add( inverse( b ), inverse( a ) ), d ) ] )
% 0.87/1.28 , clause( 2907, [ =( add( inverse( b ), inverse( a ) ), d ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2909, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.87/1.28 Z, Y ) ) ) ] )
% 0.87/1.28 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.87/1.28 ), Z ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2910, [ =( add( multiply( inverse( b ), X ), inverse( a ) ),
% 0.87/1.28 multiply( d, add( X, inverse( a ) ) ) ) ] )
% 0.87/1.28 , clause( 31, [ =( add( inverse( b ), inverse( a ) ), d ) ] )
% 0.87/1.28 , 0, clause( 2909, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.87/1.28 add( Z, Y ) ) ) ] )
% 0.87/1.28 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( b ) ),
% 0.87/1.28 :=( Y, inverse( a ) ), :=( Z, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 32, [ =( add( multiply( inverse( b ), X ), inverse( a ) ), multiply(
% 0.87/1.28 d, add( X, inverse( a ) ) ) ) ] )
% 0.87/1.28 , clause( 2910, [ =( add( multiply( inverse( b ), X ), inverse( a ) ),
% 0.87/1.28 multiply( d, add( X, inverse( a ) ) ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2915, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.87/1.28 Z, Y ) ) ) ] )
% 0.87/1.28 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.87/1.28 ), Z ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2918, [ =( add( multiply( multiply( inverse( X ), Y ), Z ), X ),
% 0.87/1.28 multiply( add( Y, X ), add( Z, X ) ) ) ] )
% 0.87/1.28 , clause( 22, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , 0, clause( 2915, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.87/1.28 add( Z, Y ) ) ) ] )
% 0.87/1.28 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.87/1.28 :=( X, multiply( inverse( X ), Y ) ), :=( Y, X ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2922, [ =( add( multiply( multiply( inverse( X ), Y ), Z ), X ),
% 0.87/1.28 add( multiply( Y, Z ), X ) ) ] )
% 0.87/1.28 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.87/1.28 ), Z ) ) ] )
% 0.87/1.28 , 0, clause( 2918, [ =( add( multiply( multiply( inverse( X ), Y ), Z ), X
% 0.87/1.28 ), multiply( add( Y, X ), add( Z, X ) ) ) ] )
% 0.87/1.28 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.87/1.28 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 34, [ =( add( multiply( multiply( inverse( X ), Y ), Z ), X ), add(
% 0.87/1.28 multiply( Y, Z ), X ) ) ] )
% 0.87/1.28 , clause( 2922, [ =( add( multiply( multiply( inverse( X ), Y ), Z ), X ),
% 0.87/1.28 add( multiply( Y, Z ), X ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2925, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 22, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2927, [ =( add( inverse( inverse( X ) ), X ), add(
% 0.87/1.28 'additive_identity', X ) ) ] )
% 0.87/1.28 , clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.87/1.28 , 0, clause( 2925, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X )
% 0.87/1.28 ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.87/1.28 :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2928, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.87/1.28 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.87/1.28 , 0, clause( 2927, [ =( add( inverse( inverse( X ) ), X ), add(
% 0.87/1.28 'additive_identity', X ) ) ] )
% 0.87/1.28 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 36, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.87/1.28 , clause( 2928, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2931, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 22, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2933, [ =( add( X, X ), add( 'additive_identity', X ) ) ] )
% 0.87/1.28 , clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.87/1.28 , 0, clause( 2931, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X )
% 0.87/1.28 ) ] )
% 0.87/1.28 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.28 :=( Y, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2934, [ =( add( X, X ), X ) ] )
% 0.87/1.28 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.87/1.28 , 0, clause( 2933, [ =( add( X, X ), add( 'additive_identity', X ) ) ] )
% 0.87/1.28 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 38, [ =( add( X, X ), X ) ] )
% 0.87/1.28 , clause( 2934, [ =( add( X, X ), X ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2937, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 22, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2939, [ =( add( 'multiplicative_identity', X ), add( inverse( X ),
% 0.87/1.28 X ) ) ] )
% 0.87/1.28 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.87/1.28 , 0, clause( 2937, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X )
% 0.87/1.28 ) ] )
% 0.87/1.28 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.87/1.28 :=( X, X ), :=( Y, 'multiplicative_identity' )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2940, [ =( add( 'multiplicative_identity', X ),
% 0.87/1.28 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, clause( 2939, [ =( add( 'multiplicative_identity', X ), add( inverse(
% 0.87/1.28 X ), X ) ) ] )
% 0.87/1.28 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 40, [ =( add( 'multiplicative_identity', X ),
% 0.87/1.28 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 2940, [ =( add( 'multiplicative_identity', X ),
% 0.87/1.28 'multiplicative_identity' ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2943, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.87/1.28 Z, Y ) ) ) ] )
% 0.87/1.28 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.87/1.28 ), Z ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2945, [ =( add( multiply( X, Y ), X ), multiply( X, add( Y, X ) ) )
% 0.87/1.28 ] )
% 0.87/1.28 , clause( 38, [ =( add( X, X ), X ) ] )
% 0.87/1.28 , 0, clause( 2943, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.87/1.28 add( Z, Y ) ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.28 :=( Y, X ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2948, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X ) )
% 0.87/1.28 ] )
% 0.87/1.28 , clause( 2945, [ =( add( multiply( X, Y ), X ), multiply( X, add( Y, X ) )
% 0.87/1.28 ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 41, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 2948, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X )
% 0.87/1.28 ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2951, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.87/1.28 Z, Y ) ) ) ] )
% 0.87/1.28 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.87/1.28 ), Z ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2954, [ =( add( multiply( X, Y ), Y ), multiply( add( X, Y ), Y ) )
% 0.87/1.28 ] )
% 0.87/1.28 , clause( 38, [ =( add( X, X ), X ) ] )
% 0.87/1.28 , 0, clause( 2951, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.87/1.28 add( Z, Y ) ) ) ] )
% 0.87/1.28 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.28 :=( Y, Y ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2957, [ =( multiply( add( X, Y ), Y ), add( multiply( X, Y ), Y ) )
% 0.87/1.28 ] )
% 0.87/1.28 , clause( 2954, [ =( add( multiply( X, Y ), Y ), multiply( add( X, Y ), Y )
% 0.87/1.28 ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 42, [ =( multiply( add( Y, X ), X ), add( multiply( Y, X ), X ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 2957, [ =( multiply( add( X, Y ), Y ), add( multiply( X, Y ), Y )
% 0.87/1.28 ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2959, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.87/1.28 X, Z ) ) ) ] )
% 0.87/1.28 , clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.87/1.28 , Z ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2962, [ =( add( X, multiply( Y, X ) ), multiply( add( X, Y ), X ) )
% 0.87/1.28 ] )
% 0.87/1.28 , clause( 38, [ =( add( X, X ), X ) ] )
% 0.87/1.28 , 0, clause( 2959, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.87/1.28 add( X, Z ) ) ) ] )
% 0.87/1.28 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.28 :=( Y, Y ), :=( Z, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2965, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) )
% 0.87/1.28 ] )
% 0.87/1.28 , clause( 2962, [ =( add( X, multiply( Y, X ) ), multiply( add( X, Y ), X )
% 0.87/1.28 ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 44, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 2965, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) )
% 0.87/1.28 ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2967, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.87/1.28 X, Z ) ) ) ] )
% 0.87/1.28 , clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.87/1.28 , Z ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2971, [ =( add( inverse( X ), multiply( Y, X ) ), multiply( add(
% 0.87/1.28 inverse( X ), Y ), 'multiplicative_identity' ) ) ] )
% 0.87/1.28 , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, clause( 2967, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.87/1.28 add( X, Z ) ) ) ] )
% 0.87/1.28 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.87/1.28 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2972, [ =( add( inverse( X ), multiply( Y, X ) ), add( inverse( X )
% 0.87/1.28 , Y ) ) ] )
% 0.87/1.28 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.87/1.28 , 0, clause( 2971, [ =( add( inverse( X ), multiply( Y, X ) ), multiply(
% 0.87/1.28 add( inverse( X ), Y ), 'multiplicative_identity' ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, add( inverse( X ), Y ) )] ),
% 0.87/1.28 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 52, [ =( add( inverse( X ), multiply( Y, X ) ), add( inverse( X ),
% 0.87/1.28 Y ) ) ] )
% 0.87/1.28 , clause( 2972, [ =( add( inverse( X ), multiply( Y, X ) ), add( inverse( X
% 0.87/1.28 ), Y ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2974, [ =( 'multiplicative_identity', add(
% 0.87/1.28 'multiplicative_identity', X ) ) ] )
% 0.87/1.28 , clause( 40, [ =( add( 'multiplicative_identity', X ),
% 0.87/1.28 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2975, [ =( 'multiplicative_identity', add( X,
% 0.87/1.28 'multiplicative_identity' ) ) ] )
% 0.87/1.28 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.87/1.28 , 0, clause( 2974, [ =( 'multiplicative_identity', add(
% 0.87/1.28 'multiplicative_identity', X ) ) ] )
% 0.87/1.28 , 0, 2, substitution( 0, [ :=( X, 'multiplicative_identity' ), :=( Y, X )] )
% 0.87/1.28 , substitution( 1, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2978, [ =( add( X, 'multiplicative_identity' ),
% 0.87/1.28 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 2975, [ =( 'multiplicative_identity', add( X,
% 0.87/1.28 'multiplicative_identity' ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 56, [ =( add( X, 'multiplicative_identity' ),
% 0.87/1.28 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 2978, [ =( add( X, 'multiplicative_identity' ),
% 0.87/1.28 'multiplicative_identity' ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2979, [ =( X, add( inverse( inverse( X ) ), X ) ) ] )
% 0.87/1.28 , clause( 36, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2980, [ =( X, add( X, inverse( inverse( X ) ) ) ) ] )
% 0.87/1.28 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.87/1.28 , 0, clause( 2979, [ =( X, add( inverse( inverse( X ) ), X ) ) ] )
% 0.87/1.28 , 0, 2, substitution( 0, [ :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )
% 0.87/1.28 , substitution( 1, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2983, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.87/1.28 , clause( 2980, [ =( X, add( X, inverse( inverse( X ) ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 61, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.87/1.28 , clause( 2983, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2985, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.87/1.28 multiply( Z, Y ) ) ) ] )
% 0.87/1.28 , clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.87/1.28 X, Y ), Z ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2988, [ =( multiply( add( X, Y ), inverse( X ) ), add(
% 0.87/1.28 'additive_identity', multiply( Y, inverse( X ) ) ) ) ] )
% 0.87/1.28 , clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.87/1.28 , 0, clause( 2985, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.87/1.28 multiply( Z, Y ) ) ) ] )
% 0.87/1.28 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.28 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2990, [ =( multiply( add( X, Y ), inverse( X ) ), multiply( Y,
% 0.87/1.28 inverse( X ) ) ) ] )
% 0.87/1.28 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.87/1.28 , 0, clause( 2988, [ =( multiply( add( X, Y ), inverse( X ) ), add(
% 0.87/1.28 'additive_identity', multiply( Y, inverse( X ) ) ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, multiply( Y, inverse( X ) ) )] ),
% 0.87/1.28 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 79, [ =( multiply( add( X, Y ), inverse( X ) ), multiply( Y,
% 0.87/1.28 inverse( X ) ) ) ] )
% 0.87/1.28 , clause( 2990, [ =( multiply( add( X, Y ), inverse( X ) ), multiply( Y,
% 0.87/1.28 inverse( X ) ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 2993, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.87/1.28 multiply( Z, Y ) ) ) ] )
% 0.87/1.28 , clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.87/1.28 X, Y ), Z ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2996, [ =( multiply( add( 'multiplicative_identity', X ), Y ), add(
% 0.87/1.28 Y, multiply( X, Y ) ) ) ] )
% 0.87/1.28 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.87/1.28 , 0, clause( 2993, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.87/1.28 multiply( Z, Y ) ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 0.87/1.28 'multiplicative_identity' ), :=( Y, Y ), :=( Z, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2998, [ =( multiply( 'multiplicative_identity', Y ), add( Y,
% 0.87/1.28 multiply( X, Y ) ) ) ] )
% 0.87/1.28 , clause( 40, [ =( add( 'multiplicative_identity', X ),
% 0.87/1.28 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, clause( 2996, [ =( multiply( add( 'multiplicative_identity', X ), Y )
% 0.87/1.28 , add( Y, multiply( X, Y ) ) ) ] )
% 0.87/1.28 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.28 :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2999, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.87/1.28 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.87/1.28 , 0, clause( 2998, [ =( multiply( 'multiplicative_identity', Y ), add( Y,
% 0.87/1.28 multiply( X, Y ) ) ) ] )
% 0.87/1.28 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.87/1.28 :=( Y, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3000, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.87/1.28 , clause( 2999, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 86, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.87/1.28 , clause( 3000, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3002, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.87/1.28 multiply( Z, Y ) ) ) ] )
% 0.87/1.28 , clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.87/1.28 X, Y ), Z ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3006, [ =( multiply( add( X, 'multiplicative_identity' ), Y ), add(
% 0.87/1.28 multiply( X, Y ), Y ) ) ] )
% 0.87/1.28 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.87/1.28 , 0, clause( 3002, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.87/1.28 multiply( Z, Y ) ) ) ] )
% 0.87/1.28 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.28 :=( Y, Y ), :=( Z, 'multiplicative_identity' )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3007, [ =( multiply( 'multiplicative_identity', Y ), add( multiply(
% 0.87/1.28 X, Y ), Y ) ) ] )
% 0.87/1.28 , clause( 56, [ =( add( X, 'multiplicative_identity' ),
% 0.87/1.28 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, clause( 3006, [ =( multiply( add( X, 'multiplicative_identity' ), Y )
% 0.87/1.28 , add( multiply( X, Y ), Y ) ) ] )
% 0.87/1.28 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.28 :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3008, [ =( X, add( multiply( Y, X ), X ) ) ] )
% 0.87/1.28 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.87/1.28 , 0, clause( 3007, [ =( multiply( 'multiplicative_identity', Y ), add(
% 0.87/1.28 multiply( X, Y ), Y ) ) ] )
% 0.87/1.28 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.87/1.28 :=( Y, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3009, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.87/1.28 , clause( 3008, [ =( X, add( multiply( Y, X ), X ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 87, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.87/1.28 , clause( 3009, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3011, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.87/1.28 , clause( 86, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3012, [ =( a, add( a, c ) ) ] )
% 0.87/1.28 , clause( 18, [ =( multiply( b, a ), c ) ] )
% 0.87/1.28 , 0, clause( 3011, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.87/1.28 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3013, [ =( add( a, c ), a ) ] )
% 0.87/1.28 , clause( 3012, [ =( a, add( a, c ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 94, [ =( add( a, c ), a ) ] )
% 0.87/1.28 , clause( 3013, [ =( add( a, c ), a ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3015, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.87/1.28 , clause( 86, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3016, [ =( b, add( b, c ) ) ] )
% 0.87/1.28 , clause( 14, [ =( multiply( a, b ), c ) ] )
% 0.87/1.28 , 0, clause( 3015, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.87/1.28 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a )] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3017, [ =( add( b, c ), b ) ] )
% 0.87/1.28 , clause( 3016, [ =( b, add( b, c ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 96, [ =( add( b, c ), b ) ] )
% 0.87/1.28 , clause( 3017, [ =( add( b, c ), b ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3019, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.87/1.28 X, Z ) ) ) ] )
% 0.87/1.28 , clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.87/1.28 , Z ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3023, [ =( add( a, multiply( X, c ) ), multiply( add( a, X ), a ) )
% 0.87/1.28 ] )
% 0.87/1.28 , clause( 94, [ =( add( a, c ), a ) ] )
% 0.87/1.28 , 0, clause( 3019, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.87/1.28 add( X, Z ) ) ) ] )
% 0.87/1.28 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, X ),
% 0.87/1.28 :=( Z, c )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3024, [ =( add( a, multiply( X, c ) ), add( a, multiply( X, a ) ) )
% 0.87/1.28 ] )
% 0.87/1.28 , clause( 44, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) )
% 0.87/1.28 ] )
% 0.87/1.28 , 0, clause( 3023, [ =( add( a, multiply( X, c ) ), multiply( add( a, X ),
% 0.87/1.28 a ) ) ] )
% 0.87/1.28 , 0, 6, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [
% 0.87/1.28 :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3025, [ =( add( a, multiply( X, c ) ), a ) ] )
% 0.87/1.28 , clause( 86, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.87/1.28 , 0, clause( 3024, [ =( add( a, multiply( X, c ) ), add( a, multiply( X, a
% 0.87/1.28 ) ) ) ] )
% 0.87/1.28 , 0, 6, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [
% 0.87/1.28 :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 100, [ =( add( a, multiply( X, c ) ), a ) ] )
% 0.87/1.28 , clause( 3025, [ =( add( a, multiply( X, c ) ), a ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3028, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.87/1.28 multiply( X, Z ) ) ) ] )
% 0.87/1.28 , clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.87/1.28 add( Y, Z ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3031, [ =( multiply( X, add( Y, inverse( X ) ) ), add( multiply( X
% 0.87/1.28 , Y ), 'additive_identity' ) ) ] )
% 0.87/1.28 , clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.87/1.28 , 0, clause( 3028, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.87/1.28 multiply( X, Z ) ) ) ] )
% 0.87/1.28 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.28 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3032, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y )
% 0.87/1.28 ) ] )
% 0.87/1.28 , clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.87/1.28 , 0, clause( 3031, [ =( multiply( X, add( Y, inverse( X ) ) ), add(
% 0.87/1.28 multiply( X, Y ), 'additive_identity' ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.87/1.28 :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 115, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y ) )
% 0.87/1.28 ] )
% 0.87/1.28 , clause( 3032, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y
% 0.87/1.28 ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3035, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.87/1.28 multiply( X, Z ) ) ) ] )
% 0.87/1.28 , clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.87/1.28 add( Y, Z ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3038, [ =( multiply( inverse( X ), add( X, Y ) ), add(
% 0.87/1.28 'additive_identity', multiply( inverse( X ), Y ) ) ) ] )
% 0.87/1.28 , clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.87/1.28 , 0, clause( 3035, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.87/1.28 multiply( X, Z ) ) ) ] )
% 0.87/1.28 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.87/1.28 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3040, [ =( multiply( inverse( X ), add( X, Y ) ), multiply( inverse(
% 0.87/1.28 X ), Y ) ) ] )
% 0.87/1.28 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.87/1.28 , 0, clause( 3038, [ =( multiply( inverse( X ), add( X, Y ) ), add(
% 0.87/1.28 'additive_identity', multiply( inverse( X ), Y ) ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, multiply( inverse( X ), Y ) )] ),
% 0.87/1.28 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 116, [ =( multiply( inverse( X ), add( X, Y ) ), multiply( inverse(
% 0.87/1.28 X ), Y ) ) ] )
% 0.87/1.28 , clause( 3040, [ =( multiply( inverse( X ), add( X, Y ) ), multiply(
% 0.87/1.28 inverse( X ), Y ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3043, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.87/1.28 multiply( X, Z ) ) ) ] )
% 0.87/1.28 , clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.87/1.28 add( Y, Z ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3047, [ =( multiply( X, add( Y, 'multiplicative_identity' ) ), add(
% 0.87/1.28 multiply( X, Y ), X ) ) ] )
% 0.87/1.28 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.87/1.28 , 0, clause( 3043, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.87/1.28 multiply( X, Z ) ) ) ] )
% 0.87/1.28 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.28 :=( Y, Y ), :=( Z, 'multiplicative_identity' )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3048, [ =( multiply( X, 'multiplicative_identity' ), add( multiply(
% 0.87/1.28 X, Y ), X ) ) ] )
% 0.87/1.28 , clause( 56, [ =( add( X, 'multiplicative_identity' ),
% 0.87/1.28 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, clause( 3047, [ =( multiply( X, add( Y, 'multiplicative_identity' ) )
% 0.87/1.28 , add( multiply( X, Y ), X ) ) ] )
% 0.87/1.28 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.28 :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3049, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.87/1.28 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.87/1.28 , 0, clause( 3048, [ =( multiply( X, 'multiplicative_identity' ), add(
% 0.87/1.28 multiply( X, Y ), X ) ) ] )
% 0.87/1.28 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.28 :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3050, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.87/1.28 , clause( 3049, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 121, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.87/1.28 , clause( 3050, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3052, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.87/1.28 Z, Y ) ) ) ] )
% 0.87/1.28 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.87/1.28 ), Z ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3057, [ =( add( multiply( multiply( X, Y ), Z ), X ), multiply( X,
% 0.87/1.28 add( Z, X ) ) ) ] )
% 0.87/1.28 , clause( 121, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.87/1.28 , 0, clause( 3052, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.87/1.28 add( Z, Y ) ) ) ] )
% 0.87/1.28 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.87/1.28 :=( X, multiply( X, Y ) ), :=( Y, X ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3059, [ =( add( multiply( multiply( X, Y ), Z ), X ), add( multiply(
% 0.87/1.28 X, Z ), X ) ) ] )
% 0.87/1.28 , clause( 41, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X ) )
% 0.87/1.28 ] )
% 0.87/1.28 , 0, clause( 3057, [ =( add( multiply( multiply( X, Y ), Z ), X ), multiply(
% 0.87/1.28 X, add( Z, X ) ) ) ] )
% 0.87/1.28 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.87/1.28 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3060, [ =( add( multiply( multiply( X, Y ), Z ), X ), X ) ] )
% 0.87/1.28 , clause( 121, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.87/1.28 , 0, clause( 3059, [ =( add( multiply( multiply( X, Y ), Z ), X ), add(
% 0.87/1.28 multiply( X, Z ), X ) ) ] )
% 0.87/1.28 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.87/1.28 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 138, [ =( add( multiply( multiply( X, Y ), Z ), X ), X ) ] )
% 0.87/1.28 , clause( 3060, [ =( add( multiply( multiply( X, Y ), Z ), X ), X ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3063, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.87/1.28 Z, Y ) ) ) ] )
% 0.87/1.28 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.87/1.28 ), Z ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3069, [ =( add( multiply( X, multiply( Y, Z ) ), Y ), multiply( add(
% 0.87/1.28 X, Y ), Y ) ) ] )
% 0.87/1.28 , clause( 121, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.87/1.28 , 0, clause( 3063, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.87/1.28 add( Z, Y ) ) ) ] )
% 0.87/1.28 , 0, 12, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.87/1.28 :=( X, X ), :=( Y, Y ), :=( Z, multiply( Y, Z ) )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3070, [ =( add( multiply( X, multiply( Y, Z ) ), Y ), add( multiply(
% 0.87/1.28 X, Y ), Y ) ) ] )
% 0.87/1.28 , clause( 42, [ =( multiply( add( Y, X ), X ), add( multiply( Y, X ), X ) )
% 0.87/1.28 ] )
% 0.87/1.28 , 0, clause( 3069, [ =( add( multiply( X, multiply( Y, Z ) ), Y ), multiply(
% 0.87/1.28 add( X, Y ), Y ) ) ] )
% 0.87/1.28 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.87/1.28 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3071, [ =( add( multiply( X, multiply( Y, Z ) ), Y ), Y ) ] )
% 0.87/1.28 , clause( 87, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.87/1.28 , 0, clause( 3070, [ =( add( multiply( X, multiply( Y, Z ) ), Y ), add(
% 0.87/1.28 multiply( X, Y ), Y ) ) ] )
% 0.87/1.28 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.87/1.28 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 139, [ =( add( multiply( Z, multiply( X, Y ) ), X ), X ) ] )
% 0.87/1.28 , clause( 3071, [ =( add( multiply( X, multiply( Y, Z ) ), Y ), Y ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.87/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3074, [ =( add( Y, inverse( X ) ), add( multiply( X, Y ), inverse(
% 0.87/1.28 X ) ) ) ] )
% 0.87/1.28 , clause( 20, [ =( add( multiply( X, Y ), inverse( X ) ), add( Y, inverse(
% 0.87/1.28 X ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3077, [ =( add( X, inverse( inverse( X ) ) ), add(
% 0.87/1.28 'additive_identity', inverse( inverse( X ) ) ) ) ] )
% 0.87/1.28 , clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.87/1.28 , 0, clause( 3074, [ =( add( Y, inverse( X ) ), add( multiply( X, Y ),
% 0.87/1.28 inverse( X ) ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.87/1.28 X ) ), :=( Y, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3078, [ =( add( X, inverse( inverse( X ) ) ), inverse( inverse( X )
% 0.87/1.28 ) ) ] )
% 0.87/1.28 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.87/1.28 , 0, clause( 3077, [ =( add( X, inverse( inverse( X ) ) ), add(
% 0.87/1.28 'additive_identity', inverse( inverse( X ) ) ) ) ] )
% 0.87/1.28 , 0, 6, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.87/1.28 substitution( 1, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3079, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.87/1.28 , clause( 61, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.87/1.28 , 0, clause( 3078, [ =( add( X, inverse( inverse( X ) ) ), inverse( inverse(
% 0.87/1.28 X ) ) ) ] )
% 0.87/1.28 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3080, [ =( inverse( inverse( X ) ), X ) ] )
% 0.87/1.28 , clause( 3079, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 144, [ =( inverse( inverse( X ) ), X ) ] )
% 0.87/1.28 , clause( 3080, [ =( inverse( inverse( X ) ), X ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3081, [ =( multiply( d, add( X, inverse( b ) ) ), add( multiply(
% 0.87/1.28 inverse( a ), X ), inverse( b ) ) ) ] )
% 0.87/1.28 , clause( 29, [ =( add( multiply( inverse( a ), X ), inverse( b ) ),
% 0.87/1.28 multiply( d, add( X, inverse( b ) ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3085, [ =( multiply( d, add( multiply( inverse( b ), X ), inverse(
% 0.87/1.28 b ) ) ), inverse( b ) ) ] )
% 0.87/1.28 , clause( 139, [ =( add( multiply( Z, multiply( X, Y ) ), X ), X ) ] )
% 0.87/1.28 , 0, clause( 3081, [ =( multiply( d, add( X, inverse( b ) ) ), add(
% 0.87/1.28 multiply( inverse( a ), X ), inverse( b ) ) ) ] )
% 0.87/1.28 , 0, 10, substitution( 0, [ :=( X, inverse( b ) ), :=( Y, X ), :=( Z,
% 0.87/1.28 inverse( a ) )] ), substitution( 1, [ :=( X, multiply( inverse( b ), X )
% 0.87/1.28 )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3086, [ =( multiply( d, inverse( b ) ), inverse( b ) ) ] )
% 0.87/1.28 , clause( 121, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.87/1.28 , 0, clause( 3085, [ =( multiply( d, add( multiply( inverse( b ), X ),
% 0.87/1.28 inverse( b ) ) ), inverse( b ) ) ] )
% 0.87/1.28 , 0, 3, substitution( 0, [ :=( X, inverse( b ) ), :=( Y, X )] ),
% 0.87/1.28 substitution( 1, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 291, [ =( multiply( d, inverse( b ) ), inverse( b ) ) ] )
% 0.87/1.28 , clause( 3086, [ =( multiply( d, inverse( b ) ), inverse( b ) ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3089, [ =( add( X, Y ), add( multiply( X, inverse( Y ) ), Y ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 23, [ =( add( multiply( Y, inverse( X ) ), X ), add( Y, X ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3091, [ =( add( d, b ), add( inverse( b ), b ) ) ] )
% 0.87/1.28 , clause( 291, [ =( multiply( d, inverse( b ) ), inverse( b ) ) ] )
% 0.87/1.28 , 0, clause( 3089, [ =( add( X, Y ), add( multiply( X, inverse( Y ) ), Y )
% 0.87/1.28 ) ] )
% 0.87/1.28 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, d ), :=( Y, b )] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3092, [ =( add( d, b ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, clause( 3091, [ =( add( d, b ), add( inverse( b ), b ) ) ] )
% 0.87/1.28 , 0, 4, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 298, [ =( add( d, b ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 3092, [ =( add( d, b ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3094, [ =( 'multiplicative_identity', add( d, b ) ) ] )
% 0.87/1.28 , clause( 298, [ =( add( d, b ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3095, [ =( 'multiplicative_identity', add( b, d ) ) ] )
% 0.87/1.28 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.87/1.28 , 0, clause( 3094, [ =( 'multiplicative_identity', add( d, b ) ) ] )
% 0.87/1.28 , 0, 2, substitution( 0, [ :=( X, d ), :=( Y, b )] ), substitution( 1, [] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3098, [ =( add( b, d ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 3095, [ =( 'multiplicative_identity', add( b, d ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 312, [ =( add( b, d ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 3098, [ =( add( b, d ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3099, [ =( multiply( d, add( X, inverse( a ) ) ), add( multiply(
% 0.87/1.28 inverse( b ), X ), inverse( a ) ) ) ] )
% 0.87/1.28 , clause( 32, [ =( add( multiply( inverse( b ), X ), inverse( a ) ),
% 0.87/1.28 multiply( d, add( X, inverse( a ) ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3103, [ =( multiply( d, add( multiply( inverse( a ), X ), inverse(
% 0.87/1.28 a ) ) ), inverse( a ) ) ] )
% 0.87/1.28 , clause( 139, [ =( add( multiply( Z, multiply( X, Y ) ), X ), X ) ] )
% 0.87/1.28 , 0, clause( 3099, [ =( multiply( d, add( X, inverse( a ) ) ), add(
% 0.87/1.28 multiply( inverse( b ), X ), inverse( a ) ) ) ] )
% 0.87/1.28 , 0, 10, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, X ), :=( Z,
% 0.87/1.28 inverse( b ) )] ), substitution( 1, [ :=( X, multiply( inverse( a ), X )
% 0.87/1.28 )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3104, [ =( multiply( d, inverse( a ) ), inverse( a ) ) ] )
% 0.87/1.28 , clause( 121, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.87/1.28 , 0, clause( 3103, [ =( multiply( d, add( multiply( inverse( a ), X ),
% 0.87/1.28 inverse( a ) ) ), inverse( a ) ) ] )
% 0.87/1.28 , 0, 3, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, X )] ),
% 0.87/1.28 substitution( 1, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 324, [ =( multiply( d, inverse( a ) ), inverse( a ) ) ] )
% 0.87/1.28 , clause( 3104, [ =( multiply( d, inverse( a ) ), inverse( a ) ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3107, [ =( add( X, Y ), add( multiply( X, inverse( Y ) ), Y ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 23, [ =( add( multiply( Y, inverse( X ) ), X ), add( Y, X ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3109, [ =( add( d, a ), add( inverse( a ), a ) ) ] )
% 0.87/1.28 , clause( 324, [ =( multiply( d, inverse( a ) ), inverse( a ) ) ] )
% 0.87/1.28 , 0, clause( 3107, [ =( add( X, Y ), add( multiply( X, inverse( Y ) ), Y )
% 0.87/1.28 ) ] )
% 0.87/1.28 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, d ), :=( Y, a )] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3110, [ =( add( d, a ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, clause( 3109, [ =( add( d, a ), add( inverse( a ), a ) ) ] )
% 0.87/1.28 , 0, 4, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 331, [ =( add( d, a ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 3110, [ =( add( d, a ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3113, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.87/1.28 Y, Z ) ) ) ] )
% 0.87/1.28 , clause( 26, [ =( multiply( add( Z, Y ), add( Y, X ) ), add( multiply( Z,
% 0.87/1.28 X ), Y ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3116, [ =( add( multiply( X, a ), d ), multiply( add( X, d ),
% 0.87/1.28 'multiplicative_identity' ) ) ] )
% 0.87/1.28 , clause( 331, [ =( add( d, a ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, clause( 3113, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.87/1.28 add( Y, Z ) ) ) ] )
% 0.87/1.28 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, d ),
% 0.87/1.28 :=( Z, a )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3117, [ =( add( multiply( X, a ), d ), add( X, d ) ) ] )
% 0.87/1.28 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.87/1.28 , 0, clause( 3116, [ =( add( multiply( X, a ), d ), multiply( add( X, d ),
% 0.87/1.28 'multiplicative_identity' ) ) ] )
% 0.87/1.28 , 0, 6, substitution( 0, [ :=( X, add( X, d ) )] ), substitution( 1, [ :=(
% 0.87/1.28 X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 340, [ =( add( multiply( X, a ), d ), add( X, d ) ) ] )
% 0.87/1.28 , clause( 3117, [ =( add( multiply( X, a ), d ), add( X, d ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3121, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.87/1.28 , clause( 121, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.87/1.28 , 0, clause( 41, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X
% 0.87/1.28 ) ) ] )
% 0.87/1.28 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.87/1.28 :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 418, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.87/1.28 , clause( 3121, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3124, [ =( Y, add( multiply( X, Y ), Y ) ) ] )
% 0.87/1.28 , clause( 87, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3127, [ =( add( X, Y ), add( Y, add( X, Y ) ) ) ] )
% 0.87/1.28 , clause( 418, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.87/1.28 , 0, clause( 3124, [ =( Y, add( multiply( X, Y ), Y ) ) ] )
% 0.87/1.28 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.87/1.28 :=( X, Y ), :=( Y, add( X, Y ) )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3128, [ =( add( Y, add( X, Y ) ), add( X, Y ) ) ] )
% 0.87/1.28 , clause( 3127, [ =( add( X, Y ), add( Y, add( X, Y ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 450, [ =( add( X, add( Y, X ) ), add( Y, X ) ) ] )
% 0.87/1.28 , clause( 3128, [ =( add( Y, add( X, Y ) ), add( X, Y ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3130, [ =( X, multiply( X, add( Y, X ) ) ) ] )
% 0.87/1.28 , clause( 418, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3131, [ =( c, multiply( c, b ) ) ] )
% 0.87/1.28 , clause( 96, [ =( add( b, c ), b ) ] )
% 0.87/1.28 , 0, clause( 3130, [ =( X, multiply( X, add( Y, X ) ) ) ] )
% 0.87/1.28 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, b )] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3132, [ =( multiply( c, b ), c ) ] )
% 0.87/1.28 , clause( 3131, [ =( c, multiply( c, b ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 453, [ =( multiply( c, b ), c ) ] )
% 0.87/1.28 , clause( 3132, [ =( multiply( c, b ), c ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3134, [ =( add( Y, inverse( X ) ), add( multiply( X, Y ), inverse(
% 0.87/1.28 X ) ) ) ] )
% 0.87/1.28 , clause( 20, [ =( add( multiply( X, Y ), inverse( X ) ), add( Y, inverse(
% 0.87/1.28 X ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3136, [ =( add( b, inverse( c ) ), add( c, inverse( c ) ) ) ] )
% 0.87/1.28 , clause( 453, [ =( multiply( c, b ), c ) ] )
% 0.87/1.28 , 0, clause( 3134, [ =( add( Y, inverse( X ) ), add( multiply( X, Y ),
% 0.87/1.28 inverse( X ) ) ) ] )
% 0.87/1.28 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, b )] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3137, [ =( add( b, inverse( c ) ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, clause( 3136, [ =( add( b, inverse( c ) ), add( c, inverse( c ) ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , 0, 5, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 465, [ =( add( b, inverse( c ) ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 3137, [ =( add( b, inverse( c ) ), 'multiplicative_identity' ) ]
% 0.87/1.28 )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3139, [ =( 'multiplicative_identity', add( b, inverse( c ) ) ) ] )
% 0.87/1.28 , clause( 465, [ =( add( b, inverse( c ) ), 'multiplicative_identity' ) ]
% 0.87/1.28 )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3140, [ =( 'multiplicative_identity', add( inverse( c ), b ) ) ] )
% 0.87/1.28 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.87/1.28 , 0, clause( 3139, [ =( 'multiplicative_identity', add( b, inverse( c ) ) )
% 0.87/1.28 ] )
% 0.87/1.28 , 0, 2, substitution( 0, [ :=( X, b ), :=( Y, inverse( c ) )] ),
% 0.87/1.28 substitution( 1, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3143, [ =( add( inverse( c ), b ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 3140, [ =( 'multiplicative_identity', add( inverse( c ), b ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 494, [ =( add( inverse( c ), b ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 3143, [ =( add( inverse( c ), b ), 'multiplicative_identity' ) ]
% 0.87/1.28 )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3146, [ =( multiply( add( X, Y ), X ), X ) ] )
% 0.87/1.28 , clause( 86, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.87/1.28 , 0, clause( 44, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X )
% 0.87/1.28 ) ) ] )
% 0.87/1.28 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.87/1.28 :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 495, [ =( multiply( add( X, Y ), X ), X ) ] )
% 0.87/1.28 , clause( 3146, [ =( multiply( add( X, Y ), X ), X ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3149, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.87/1.28 X, Z ) ) ) ] )
% 0.87/1.28 , clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.87/1.28 , Z ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3152, [ =( add( inverse( c ), multiply( X, b ) ), multiply( add(
% 0.87/1.28 inverse( c ), X ), 'multiplicative_identity' ) ) ] )
% 0.87/1.28 , clause( 494, [ =( add( inverse( c ), b ), 'multiplicative_identity' ) ]
% 0.87/1.28 )
% 0.87/1.28 , 0, clause( 3149, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.87/1.28 add( X, Z ) ) ) ] )
% 0.87/1.28 , 0, 12, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( c ) ),
% 0.87/1.28 :=( Y, X ), :=( Z, b )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3153, [ =( add( inverse( c ), multiply( X, b ) ), add( inverse( c )
% 0.87/1.28 , X ) ) ] )
% 0.87/1.28 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.87/1.28 , 0, clause( 3152, [ =( add( inverse( c ), multiply( X, b ) ), multiply(
% 0.87/1.28 add( inverse( c ), X ), 'multiplicative_identity' ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, add( inverse( c ), X ) )] ),
% 0.87/1.28 substitution( 1, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 497, [ =( add( inverse( c ), multiply( X, b ) ), add( inverse( c )
% 0.87/1.28 , X ) ) ] )
% 0.87/1.28 , clause( 3153, [ =( add( inverse( c ), multiply( X, b ) ), add( inverse( c
% 0.87/1.28 ), X ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3156, [ =( X, multiply( add( X, Y ), X ) ) ] )
% 0.87/1.28 , clause( 495, [ =( multiply( add( X, Y ), X ), X ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3159, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.87/1.28 multiply( X, Y ), Z ) ) ) ] )
% 0.87/1.28 , clause( 138, [ =( add( multiply( multiply( X, Y ), Z ), X ), X ) ] )
% 0.87/1.28 , 0, clause( 3156, [ =( X, multiply( add( X, Y ), X ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.28 substitution( 1, [ :=( X, multiply( multiply( X, Y ), Z ) ), :=( Y, X )] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3160, [ =( multiply( X, multiply( multiply( X, Y ), Z ) ), multiply(
% 0.87/1.28 multiply( X, Y ), Z ) ) ] )
% 0.87/1.28 , clause( 3159, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.87/1.28 multiply( X, Y ), Z ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 510, [ =( multiply( X, multiply( multiply( X, Y ), Z ) ), multiply(
% 0.87/1.28 multiply( X, Y ), Z ) ) ] )
% 0.87/1.28 , clause( 3160, [ =( multiply( X, multiply( multiply( X, Y ), Z ) ),
% 0.87/1.28 multiply( multiply( X, Y ), Z ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3162, [ =( add( X, d ), add( multiply( X, a ), d ) ) ] )
% 0.87/1.28 , clause( 340, [ =( add( multiply( X, a ), d ), add( X, d ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3164, [ =( add( b, d ), add( c, d ) ) ] )
% 0.87/1.28 , clause( 18, [ =( multiply( b, a ), c ) ] )
% 0.87/1.28 , 0, clause( 3162, [ =( add( X, d ), add( multiply( X, a ), d ) ) ] )
% 0.87/1.28 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, b )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3165, [ =( 'multiplicative_identity', add( c, d ) ) ] )
% 0.87/1.28 , clause( 312, [ =( add( b, d ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, clause( 3164, [ =( add( b, d ), add( c, d ) ) ] )
% 0.87/1.28 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3166, [ =( add( c, d ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 3165, [ =( 'multiplicative_identity', add( c, d ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 1073, [ =( add( c, d ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 3166, [ =( add( c, d ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3167, [ =( 'multiplicative_identity', add( c, d ) ) ] )
% 0.87/1.28 , clause( 1073, [ =( add( c, d ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3168, [ =( 'multiplicative_identity', add( d, c ) ) ] )
% 0.87/1.28 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.87/1.28 , 0, clause( 3167, [ =( 'multiplicative_identity', add( c, d ) ) ] )
% 0.87/1.28 , 0, 2, substitution( 0, [ :=( X, c ), :=( Y, d )] ), substitution( 1, [] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3171, [ =( add( d, c ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 3168, [ =( 'multiplicative_identity', add( d, c ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 1084, [ =( add( d, c ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , clause( 3171, [ =( add( d, c ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3173, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.87/1.28 X, Z ) ) ) ] )
% 0.87/1.28 , clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.87/1.28 , Z ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3175, [ =( add( d, multiply( c, X ) ), multiply(
% 0.87/1.28 'multiplicative_identity', add( d, X ) ) ) ] )
% 0.87/1.28 , clause( 1084, [ =( add( d, c ), 'multiplicative_identity' ) ] )
% 0.87/1.28 , 0, clause( 3173, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.87/1.28 add( X, Z ) ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, d ), :=( Y, c ),
% 0.87/1.28 :=( Z, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3177, [ =( add( d, multiply( c, X ) ), add( d, X ) ) ] )
% 0.87/1.28 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.87/1.28 , 0, clause( 3175, [ =( add( d, multiply( c, X ) ), multiply(
% 0.87/1.28 'multiplicative_identity', add( d, X ) ) ) ] )
% 0.87/1.28 , 0, 6, substitution( 0, [ :=( X, add( d, X ) )] ), substitution( 1, [ :=(
% 0.87/1.28 X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 1089, [ =( add( d, multiply( c, X ) ), add( d, X ) ) ] )
% 0.87/1.28 , clause( 3177, [ =( add( d, multiply( c, X ) ), add( d, X ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3180, [ =( add( d, X ), add( d, multiply( c, X ) ) ) ] )
% 0.87/1.28 , clause( 1089, [ =( add( d, multiply( c, X ) ), add( d, X ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3182, [ =( add( d, inverse( c ) ), add( d, 'additive_identity' ) )
% 0.87/1.28 ] )
% 0.87/1.28 , clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.87/1.28 , 0, clause( 3180, [ =( add( d, X ), add( d, multiply( c, X ) ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, c )] ), substitution( 1, [ :=( X, inverse(
% 0.87/1.28 c ) )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3183, [ =( add( d, inverse( c ) ), d ) ] )
% 0.87/1.28 , clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.87/1.28 , 0, clause( 3182, [ =( add( d, inverse( c ) ), add( d, 'additive_identity'
% 0.87/1.28 ) ) ] )
% 0.87/1.28 , 0, 5, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 1101, [ =( add( d, inverse( c ) ), d ) ] )
% 0.87/1.28 , clause( 3183, [ =( add( d, inverse( c ) ), d ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3186, [ =( add( Y, X ), add( X, add( Y, X ) ) ) ] )
% 0.87/1.28 , clause( 450, [ =( add( X, add( Y, X ) ), add( Y, X ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3188, [ =( add( d, inverse( c ) ), add( inverse( c ), d ) ) ] )
% 0.87/1.28 , clause( 1101, [ =( add( d, inverse( c ) ), d ) ] )
% 0.87/1.28 , 0, clause( 3186, [ =( add( Y, X ), add( X, add( Y, X ) ) ) ] )
% 0.87/1.28 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( c ) ),
% 0.87/1.28 :=( Y, d )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3189, [ =( d, add( inverse( c ), d ) ) ] )
% 0.87/1.28 , clause( 1101, [ =( add( d, inverse( c ) ), d ) ] )
% 0.87/1.28 , 0, clause( 3188, [ =( add( d, inverse( c ) ), add( inverse( c ), d ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3191, [ =( add( inverse( c ), d ), d ) ] )
% 0.87/1.28 , clause( 3189, [ =( d, add( inverse( c ), d ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 1105, [ =( add( inverse( c ), d ), d ) ] )
% 0.87/1.28 , clause( 3191, [ =( add( inverse( c ), d ), d ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3194, [ =( multiply( Y, inverse( X ) ), multiply( add( X, Y ),
% 0.87/1.28 inverse( X ) ) ) ] )
% 0.87/1.28 , clause( 79, [ =( multiply( add( X, Y ), inverse( X ) ), multiply( Y,
% 0.87/1.28 inverse( X ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3196, [ =( multiply( inverse( a ), inverse( inverse( b ) ) ),
% 0.87/1.28 multiply( d, inverse( inverse( b ) ) ) ) ] )
% 0.87/1.28 , clause( 31, [ =( add( inverse( b ), inverse( a ) ), d ) ] )
% 0.87/1.28 , 0, clause( 3194, [ =( multiply( Y, inverse( X ) ), multiply( add( X, Y )
% 0.87/1.28 , inverse( X ) ) ) ] )
% 0.87/1.28 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( b ) ),
% 0.87/1.28 :=( Y, inverse( a ) )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3198, [ =( multiply( inverse( a ), inverse( inverse( b ) ) ),
% 0.87/1.28 multiply( d, b ) ) ] )
% 0.87/1.28 , clause( 144, [ =( inverse( inverse( X ) ), X ) ] )
% 0.87/1.28 , 0, clause( 3196, [ =( multiply( inverse( a ), inverse( inverse( b ) ) ),
% 0.87/1.28 multiply( d, inverse( inverse( b ) ) ) ) ] )
% 0.87/1.28 , 0, 9, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3199, [ =( multiply( inverse( a ), b ), multiply( d, b ) ) ] )
% 0.87/1.28 , clause( 144, [ =( inverse( inverse( X ) ), X ) ] )
% 0.87/1.28 , 0, clause( 3198, [ =( multiply( inverse( a ), inverse( inverse( b ) ) ),
% 0.87/1.28 multiply( d, b ) ) ] )
% 0.87/1.28 , 0, 4, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 1526, [ =( multiply( inverse( a ), b ), multiply( d, b ) ) ] )
% 0.87/1.28 , clause( 3199, [ =( multiply( inverse( a ), b ), multiply( d, b ) ) ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3204, [ =( multiply( X, Y ), multiply( X, add( Y, inverse( X ) ) )
% 0.87/1.28 ) ] )
% 0.87/1.28 , clause( 115, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y )
% 0.87/1.28 ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3211, [ =( multiply( X, multiply( multiply( inverse( inverse( X ) )
% 0.87/1.28 , Y ), Z ) ), multiply( X, add( multiply( Y, Z ), inverse( X ) ) ) ) ] )
% 0.87/1.28 , clause( 34, [ =( add( multiply( multiply( inverse( X ), Y ), Z ), X ),
% 0.87/1.28 add( multiply( Y, Z ), X ) ) ] )
% 0.87/1.28 , 0, clause( 3204, [ =( multiply( X, Y ), multiply( X, add( Y, inverse( X )
% 0.87/1.28 ) ) ) ] )
% 0.87/1.28 , 0, 12, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y ), :=( Z, Z )] )
% 0.87/1.28 , substitution( 1, [ :=( X, X ), :=( Y, multiply( multiply( inverse(
% 0.87/1.28 inverse( X ) ), Y ), Z ) )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3212, [ =( multiply( X, multiply( multiply( inverse( inverse( X ) )
% 0.87/1.28 , Y ), Z ) ), multiply( X, multiply( Y, Z ) ) ) ] )
% 0.87/1.28 , clause( 115, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y )
% 0.87/1.28 ) ] )
% 0.87/1.28 , 0, clause( 3211, [ =( multiply( X, multiply( multiply( inverse( inverse(
% 0.87/1.28 X ) ), Y ), Z ) ), multiply( X, add( multiply( Y, Z ), inverse( X ) ) ) )
% 0.87/1.28 ] )
% 0.87/1.28 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, Z ) )] ),
% 0.87/1.28 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3213, [ =( multiply( X, multiply( multiply( X, Y ), Z ) ), multiply(
% 0.87/1.28 X, multiply( Y, Z ) ) ) ] )
% 0.87/1.28 , clause( 144, [ =( inverse( inverse( X ) ), X ) ] )
% 0.87/1.28 , 0, clause( 3212, [ =( multiply( X, multiply( multiply( inverse( inverse(
% 0.87/1.28 X ) ), Y ), Z ) ), multiply( X, multiply( Y, Z ) ) ) ] )
% 0.87/1.28 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.28 :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3214, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.87/1.28 Y, Z ) ) ) ] )
% 0.87/1.28 , clause( 510, [ =( multiply( X, multiply( multiply( X, Y ), Z ) ),
% 0.87/1.28 multiply( multiply( X, Y ), Z ) ) ] )
% 0.87/1.28 , 0, clause( 3213, [ =( multiply( X, multiply( multiply( X, Y ), Z ) ),
% 0.87/1.28 multiply( X, multiply( Y, Z ) ) ) ] )
% 0.87/1.28 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.28 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3215, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.87/1.28 Y ), Z ) ) ] )
% 0.87/1.28 , clause( 3214, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.87/1.28 Y, Z ) ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 2631, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.87/1.28 Y ), Z ) ) ] )
% 0.87/1.28 , clause( 3215, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.87/1.28 , Y ), Z ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3217, [ =( multiply( inverse( X ), Y ), multiply( inverse( X ), add(
% 0.87/1.28 X, Y ) ) ) ] )
% 0.87/1.28 , clause( 116, [ =( multiply( inverse( X ), add( X, Y ) ), multiply(
% 0.87/1.28 inverse( X ), Y ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3220, [ =( multiply( inverse( a ), multiply( X, c ) ), multiply(
% 0.87/1.28 inverse( a ), a ) ) ] )
% 0.87/1.28 , clause( 100, [ =( add( a, multiply( X, c ) ), a ) ] )
% 0.87/1.28 , 0, clause( 3217, [ =( multiply( inverse( X ), Y ), multiply( inverse( X )
% 0.87/1.28 , add( X, Y ) ) ) ] )
% 0.87/1.28 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, a ),
% 0.87/1.28 :=( Y, multiply( X, c ) )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3221, [ =( multiply( inverse( a ), multiply( X, c ) ),
% 0.87/1.28 'additive_identity' ) ] )
% 0.87/1.28 , clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.87/1.28 , 0, clause( 3220, [ =( multiply( inverse( a ), multiply( X, c ) ),
% 0.87/1.28 multiply( inverse( a ), a ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, a )] ), substitution( 1, [ :=( X, X )] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3222, [ =( multiply( multiply( inverse( a ), X ), c ),
% 0.87/1.28 'additive_identity' ) ] )
% 0.87/1.28 , clause( 2631, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.87/1.28 , Y ), Z ) ) ] )
% 0.87/1.28 , 0, clause( 3221, [ =( multiply( inverse( a ), multiply( X, c ) ),
% 0.87/1.28 'additive_identity' ) ] )
% 0.87/1.28 , 0, 1, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, X ), :=( Z, c )] )
% 0.87/1.28 , substitution( 1, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 2689, [ =( multiply( multiply( inverse( a ), X ), c ),
% 0.87/1.28 'additive_identity' ) ] )
% 0.87/1.28 , clause( 3222, [ =( multiply( multiply( inverse( a ), X ), c ),
% 0.87/1.28 'additive_identity' ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3225, [ =( 'additive_identity', multiply( multiply( inverse( a ), X
% 0.87/1.28 ), c ) ) ] )
% 0.87/1.28 , clause( 2689, [ =( multiply( multiply( inverse( a ), X ), c ),
% 0.87/1.28 'additive_identity' ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3226, [ =( 'additive_identity', multiply( multiply( d, b ), c ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 1526, [ =( multiply( inverse( a ), b ), multiply( d, b ) ) ] )
% 0.87/1.28 , 0, clause( 3225, [ =( 'additive_identity', multiply( multiply( inverse( a
% 0.87/1.28 ), X ), c ) ) ] )
% 0.87/1.28 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, b )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3227, [ =( multiply( multiply( d, b ), c ), 'additive_identity' ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 3226, [ =( 'additive_identity', multiply( multiply( d, b ), c ) )
% 0.87/1.28 ] )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 2700, [ =( multiply( multiply( d, b ), c ), 'additive_identity' ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 3227, [ =( multiply( multiply( d, b ), c ), 'additive_identity' )
% 0.87/1.28 ] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3229, [ =( add( inverse( X ), Y ), add( inverse( X ), multiply( Y,
% 0.87/1.28 X ) ) ) ] )
% 0.87/1.28 , clause( 52, [ =( add( inverse( X ), multiply( Y, X ) ), add( inverse( X )
% 0.87/1.28 , Y ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 3233, [ ~( =( d, inverse( c ) ) ) ] )
% 0.87/1.28 , clause( 16, [ ~( =( inverse( c ), d ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3234, [ =( add( inverse( c ), multiply( d, b ) ), add( inverse( c )
% 0.87/1.28 , 'additive_identity' ) ) ] )
% 0.87/1.28 , clause( 2700, [ =( multiply( multiply( d, b ), c ), 'additive_identity' )
% 0.87/1.28 ] )
% 0.87/1.28 , 0, clause( 3229, [ =( add( inverse( X ), Y ), add( inverse( X ), multiply(
% 0.87/1.28 Y, X ) ) ) ] )
% 0.87/1.28 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y,
% 0.87/1.28 multiply( d, b ) )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3235, [ =( add( inverse( c ), multiply( d, b ) ), inverse( c ) ) ]
% 0.87/1.28 )
% 0.87/1.28 , clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.87/1.28 , 0, clause( 3234, [ =( add( inverse( c ), multiply( d, b ) ), add( inverse(
% 0.87/1.28 c ), 'additive_identity' ) ) ] )
% 0.87/1.28 , 0, 7, substitution( 0, [ :=( X, inverse( c ) )] ), substitution( 1, [] )
% 0.87/1.28 ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3236, [ =( add( inverse( c ), d ), inverse( c ) ) ] )
% 0.87/1.28 , clause( 497, [ =( add( inverse( c ), multiply( X, b ) ), add( inverse( c
% 0.87/1.28 ), X ) ) ] )
% 0.87/1.28 , 0, clause( 3235, [ =( add( inverse( c ), multiply( d, b ) ), inverse( c )
% 0.87/1.28 ) ] )
% 0.87/1.28 , 0, 1, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3237, [ =( d, inverse( c ) ) ] )
% 0.87/1.28 , clause( 1105, [ =( add( inverse( c ), d ), d ) ] )
% 0.87/1.28 , 0, clause( 3236, [ =( add( inverse( c ), d ), inverse( c ) ) ] )
% 0.87/1.28 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 resolution(
% 0.87/1.28 clause( 3238, [] )
% 0.87/1.28 , clause( 3233, [ ~( =( d, inverse( c ) ) ) ] )
% 0.87/1.28 , 0, clause( 3237, [ =( d, inverse( c ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 2714, [] )
% 0.87/1.28 , clause( 3238, [] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 end.
% 0.87/1.28
% 0.87/1.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.28
% 0.87/1.28 Memory use:
% 0.87/1.28
% 0.87/1.28 space for terms: 32655
% 0.87/1.28 space for clauses: 277418
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 clauses generated: 35368
% 0.87/1.28 clauses kept: 2715
% 0.87/1.28 clauses selected: 385
% 0.87/1.28 clauses deleted: 53
% 0.87/1.28 clauses inuse deleted: 15
% 0.87/1.28
% 0.87/1.28 subsentry: 3272
% 0.87/1.28 literals s-matched: 2149
% 0.87/1.28 literals matched: 2079
% 0.87/1.28 full subsumption: 0
% 0.87/1.28
% 0.87/1.28 checksum: 807305354
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 Bliksem ended
%------------------------------------------------------------------------------