%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO008-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 23:30:35 EDT 2022
% Result : Unsatisfiable 0.91s 1.29s
% Output : Refutation 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO008-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Wed Jun 1 17:07:59 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.91/1.29 *** allocated 10000 integers for termspace/termends
% 0.91/1.29 *** allocated 10000 integers for clauses
% 0.91/1.29 *** allocated 10000 integers for justifications
% 0.91/1.29 Bliksem 1.12
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 Automatic Strategy Selection
% 0.91/1.29
% 0.91/1.29 Clauses:
% 0.91/1.29 [
% 0.91/1.29 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.91/1.29 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.91/1.29 [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add( Y, Z ) ) )
% 0.91/1.29 ],
% 0.91/1.29 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.91/1.29 ],
% 0.91/1.29 [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ), multiply( Y, Z )
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.91/1.29 [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ],
% 0.91/1.29 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.91/1.29 [ =( multiply( inverse( X ), X ), 'additive_identity' ) ],
% 0.91/1.29 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.91/1.29 [ =( multiply( 'multiplicative_identity', X ), X ) ],
% 0.91/1.29 [ =( add( X, 'additive_identity' ), X ) ],
% 0.91/1.29 [ =( add( 'additive_identity', X ), X ) ],
% 0.91/1.29 [ ~( =( add( a, add( b, c ) ), add( add( a, b ), c ) ) ) ]
% 0.91/1.29 ] .
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 percentage equality = 1.000000, percentage horn = 1.000000
% 0.91/1.29 This is a pure equality problem
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 Options Used:
% 0.91/1.29
% 0.91/1.29 useres = 1
% 0.91/1.29 useparamod = 1
% 0.91/1.29 useeqrefl = 1
% 0.91/1.29 useeqfact = 1
% 0.91/1.29 usefactor = 1
% 0.91/1.29 usesimpsplitting = 0
% 0.91/1.29 usesimpdemod = 5
% 0.91/1.29 usesimpres = 3
% 0.91/1.29
% 0.91/1.29 resimpinuse = 1000
% 0.91/1.29 resimpclauses = 20000
% 0.91/1.29 substype = eqrewr
% 0.91/1.29 backwardsubs = 1
% 0.91/1.29 selectoldest = 5
% 0.91/1.29
% 0.91/1.29 litorderings [0] = split
% 0.91/1.29 litorderings [1] = extend the termordering, first sorting on arguments
% 0.91/1.29
% 0.91/1.29 termordering = kbo
% 0.91/1.29
% 0.91/1.29 litapriori = 0
% 0.91/1.29 termapriori = 1
% 0.91/1.29 litaposteriori = 0
% 0.91/1.29 termaposteriori = 0
% 0.91/1.29 demodaposteriori = 0
% 0.91/1.29 ordereqreflfact = 0
% 0.91/1.29
% 0.91/1.29 litselect = negord
% 0.91/1.29
% 0.91/1.29 maxweight = 15
% 0.91/1.29 maxdepth = 30000
% 0.91/1.29 maxlength = 115
% 0.91/1.29 maxnrvars = 195
% 0.91/1.29 excuselevel = 1
% 0.91/1.29 increasemaxweight = 1
% 0.91/1.29
% 0.91/1.29 maxselected = 10000000
% 0.91/1.29 maxnrclauses = 10000000
% 0.91/1.29
% 0.91/1.29 showgenerated = 0
% 0.91/1.29 showkept = 0
% 0.91/1.29 showselected = 0
% 0.91/1.29 showdeleted = 0
% 0.91/1.29 showresimp = 1
% 0.91/1.29 showstatus = 2000
% 0.91/1.29
% 0.91/1.29 prologoutput = 1
% 0.91/1.29 nrgoals = 5000000
% 0.91/1.29 totalproof = 1
% 0.91/1.29
% 0.91/1.29 Symbols occurring in the translation:
% 0.91/1.29
% 0.91/1.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.91/1.29 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.91/1.29 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.91/1.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.29 add [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.91/1.29 multiply [42, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.91/1.29 inverse [44, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.91/1.29 'multiplicative_identity' [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.91/1.29 'additive_identity' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.91/1.29 a [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.91/1.29 b [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.91/1.29 c [49, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 Starting Search:
% 0.91/1.29
% 0.91/1.29 Resimplifying inuse:
% 0.91/1.29 Done
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 Intermediate Status:
% 0.91/1.29 Generated: 36856
% 0.91/1.29 Kept: 2001
% 0.91/1.29 Inuse: 227
% 0.91/1.29 Deleted: 69
% 0.91/1.29 Deletedinuse: 21
% 0.91/1.29
% 0.91/1.29 Resimplifying inuse:
% 0.91/1.29 Done
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 Bliksems!, er is een bewijs:
% 0.91/1.29 % SZS status Unsatisfiable
% 0.91/1.29 % SZS output start Refutation
% 0.91/1.29
% 0.91/1.29 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y )
% 0.91/1.29 , Z ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.91/1.29 Z ) ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 0.91/1.29 , Y ), Z ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.91/1.29 Y, Z ) ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 14, [ ~( =( add( a, add( b, c ) ), add( add( a, b ), c ) ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 17, [ ~( =( add( add( a, b ), c ), add( add( b, c ), a ) ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 20, [ ~( =( add( add( b, a ), c ), add( add( b, c ), a ) ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 23, [ =( add( multiply( Y, X ), inverse( X ) ), add( Y, inverse( X
% 0.91/1.29 ) ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 24, [ =( add( multiply( X, Z ), Y ), add( multiply( Z, X ), Y ) ) ]
% 0.91/1.29 )
% 0.91/1.29 .
% 0.91/1.29 clause( 25, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 27, [ =( multiply( add( Y, X ), add( Z, Y ) ), add( multiply( X, Z
% 0.91/1.29 ), Y ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 33, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 36, [ =( add( X, X ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 37, [ =( add( 'multiplicative_identity', X ),
% 0.91/1.29 'multiplicative_identity' ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 38, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X ) ) ]
% 0.91/1.29 )
% 0.91/1.29 .
% 0.91/1.29 clause( 39, [ =( multiply( add( Y, X ), X ), add( multiply( Y, X ), X ) ) ]
% 0.91/1.29 )
% 0.91/1.29 .
% 0.91/1.29 clause( 40, [ =( add( X, 'multiplicative_identity' ),
% 0.91/1.29 'multiplicative_identity' ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 41, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) ) ]
% 0.91/1.29 )
% 0.91/1.29 .
% 0.91/1.29 clause( 42, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) ) ]
% 0.91/1.29 )
% 0.91/1.29 .
% 0.91/1.29 clause( 54, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 69, [ =( add( multiply( T, add( Z, Y ) ), add( multiply( X, Z ), Y
% 0.91/1.29 ) ), multiply( add( T, add( X, Y ) ), add( Z, Y ) ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 77, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 78, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 85, [ =( add( Y, multiply( Y, X ) ), Y ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 94, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 104, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.91/1.29 ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 105, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y ) )
% 0.91/1.29 ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 166, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 171, [ =( inverse( inverse( X ) ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 229, [ =( multiply( Y, multiply( X, Y ) ), multiply( Y, X ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 243, [ =( add( add( Y, X ), X ), add( Y, X ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 245, [ =( add( multiply( X, Y ), inverse( multiply( Y, X ) ) ), add(
% 0.91/1.29 X, inverse( multiply( Y, X ) ) ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 263, [ =( add( Y, inverse( multiply( X, Y ) ) ),
% 0.91/1.29 'multiplicative_identity' ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 264, [ =( add( multiply( Y, X ), Z ), add( Z, multiply( X, Y ) ) )
% 0.91/1.29 ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 276, [ =( add( inverse( multiply( Y, X ) ), X ),
% 0.91/1.29 'multiplicative_identity' ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 315, [ =( add( add( Y, X ), Y ), add( Y, X ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 523, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 532, [ =( add( inverse( X ), add( Y, X ) ),
% 0.91/1.29 'multiplicative_identity' ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 545, [ =( add( inverse( X ), add( X, Y ) ),
% 0.91/1.29 'multiplicative_identity' ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 568, [ =( add( add( X, Y ), inverse( X ) ),
% 0.91/1.29 'multiplicative_identity' ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 573, [ =( add( add( inverse( X ), Y ), X ),
% 0.91/1.29 'multiplicative_identity' ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 580, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 596, [ =( add( multiply( Z, add( inverse( X ), Y ) ), X ), add( X,
% 0.91/1.29 Z ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 602, [ =( multiply( X, add( X, Y ) ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 645, [ =( multiply( add( X, Y ), X ), X ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 1470, [ =( add( X, add( multiply( Z, X ), Y ) ), add( X, Y ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 1471, [ =( add( Z, add( X, T ) ), add( Z, add( T, X ) ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 1630, [ =( add( X, add( Z, Y ) ), add( add( Y, Z ), X ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 2135, [ =( add( Y, add( Z, multiply( Y, X ) ) ), add( Y, Z ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 2143, [ =( add( add( X, Y ), add( X, Z ) ), add( add( X, Y ), Z ) )
% 0.91/1.29 ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 2161, [ =( add( add( multiply( X, Z ), Y ), X ), add( X, Y ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 2210, [ =( add( add( X, Z ), Y ), add( add( X, Y ), Z ) ) ] )
% 0.91/1.29 .
% 0.91/1.29 clause( 2294, [] )
% 0.91/1.29 .
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 % SZS output end Refutation
% 0.91/1.29 found a proof!
% 0.91/1.29
% 0.91/1.29 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.91/1.29
% 0.91/1.29 initialclauses(
% 0.91/1.29 [ clause( 2296, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.29 , clause( 2297, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.91/1.29 , clause( 2298, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add(
% 0.91/1.29 Y, Z ) ) ) ] )
% 0.91/1.29 , clause( 2299, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.91/1.29 X, Z ) ) ) ] )
% 0.91/1.29 , clause( 2300, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.91/1.29 multiply( Y, Z ) ) ) ] )
% 0.91/1.29 , clause( 2301, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.91/1.29 multiply( X, Z ) ) ) ] )
% 0.91/1.29 , clause( 2302, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ]
% 0.91/1.29 )
% 0.91/1.29 , clause( 2303, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ]
% 0.91/1.29 )
% 0.91/1.29 , clause( 2304, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ]
% 0.91/1.29 )
% 0.91/1.29 , clause( 2305, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ]
% 0.91/1.29 )
% 0.91/1.29 , clause( 2306, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.91/1.29 , clause( 2307, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.91/1.29 , clause( 2308, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.91/1.29 , clause( 2309, [ =( add( 'additive_identity', X ), X ) ] )
% 0.91/1.29 , clause( 2310, [ ~( =( add( a, add( b, c ) ), add( add( a, b ), c ) ) ) ]
% 0.91/1.29 )
% 0.91/1.29 ] ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.29 , clause( 2296, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.29 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.91/1.29 , clause( 2297, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.29 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2311, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X,
% 0.91/1.29 Y ), Z ) ) ] )
% 0.91/1.29 , clause( 2298, [ =( add( multiply( X, Y ), Z ), multiply( add( X, Z ), add(
% 0.91/1.29 Y, Z ) ) ) ] )
% 0.91/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y )
% 0.91/1.29 , Z ) ) ] )
% 0.91/1.29 , clause( 2311, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X
% 0.91/1.29 , Y ), Z ) ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.91/1.29 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2313, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.91/1.29 Y, Z ) ) ) ] )
% 0.91/1.29 , clause( 2299, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.91/1.29 X, Z ) ) ) ] )
% 0.91/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.91/1.29 Z ) ) ) ] )
% 0.91/1.29 , clause( 2313, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.91/1.29 Y, Z ) ) ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.91/1.29 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2316, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.91/1.29 X, Y ), Z ) ) ] )
% 0.91/1.29 , clause( 2300, [ =( multiply( add( X, Y ), Z ), add( multiply( X, Z ),
% 0.91/1.29 multiply( Y, Z ) ) ) ] )
% 0.91/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add( X
% 0.91/1.29 , Y ), Z ) ) ] )
% 0.91/1.29 , clause( 2316, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply(
% 0.91/1.29 add( X, Y ), Z ) ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.91/1.29 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2320, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.91/1.29 add( Y, Z ) ) ) ] )
% 0.91/1.29 , clause( 2301, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.91/1.29 multiply( X, Z ) ) ) ] )
% 0.91/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.91/1.29 Y, Z ) ) ) ] )
% 0.91/1.29 , clause( 2320, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X
% 0.91/1.29 , add( Y, Z ) ) ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.91/1.29 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.91/1.29 , clause( 2302, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ]
% 0.91/1.29 )
% 0.91/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.91/1.29 , clause( 2303, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ]
% 0.91/1.29 )
% 0.91/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.91/1.29 , clause( 2304, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ]
% 0.91/1.29 )
% 0.91/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.91/1.29 , clause( 2305, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ]
% 0.91/1.29 )
% 0.91/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.91/1.29 , clause( 2306, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.91/1.29 , clause( 2307, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.91/1.29 , clause( 2308, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.91/1.29 , clause( 2309, [ =( add( 'additive_identity', X ), X ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 14, [ ~( =( add( a, add( b, c ) ), add( add( a, b ), c ) ) ) ] )
% 0.91/1.29 , clause( 2310, [ ~( =( add( a, add( b, c ) ), add( add( a, b ), c ) ) ) ]
% 0.91/1.29 )
% 0.91/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2402, [ ~( =( add( add( a, b ), c ), add( a, add( b, c ) ) ) ) ] )
% 0.91/1.29 , clause( 14, [ ~( =( add( a, add( b, c ) ), add( add( a, b ), c ) ) ) ] )
% 0.91/1.29 , 0, substitution( 0, [] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2405, [ ~( =( add( add( a, b ), c ), add( add( b, c ), a ) ) ) ] )
% 0.91/1.29 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.29 , 0, clause( 2402, [ ~( =( add( add( a, b ), c ), add( a, add( b, c ) ) ) )
% 0.91/1.29 ] )
% 0.91/1.29 , 0, 7, substitution( 0, [ :=( X, a ), :=( Y, add( b, c ) )] ),
% 0.91/1.29 substitution( 1, [] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 17, [ ~( =( add( add( a, b ), c ), add( add( b, c ), a ) ) ) ] )
% 0.91/1.29 , clause( 2405, [ ~( =( add( add( a, b ), c ), add( add( b, c ), a ) ) ) ]
% 0.91/1.29 )
% 0.91/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2435, [ ~( =( add( add( b, c ), a ), add( add( a, b ), c ) ) ) ] )
% 0.91/1.29 , clause( 17, [ ~( =( add( add( a, b ), c ), add( add( b, c ), a ) ) ) ] )
% 0.91/1.29 , 0, substitution( 0, [] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2439, [ ~( =( add( add( b, c ), a ), add( add( b, a ), c ) ) ) ] )
% 0.91/1.29 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.29 , 0, clause( 2435, [ ~( =( add( add( b, c ), a ), add( add( a, b ), c ) ) )
% 0.91/1.29 ] )
% 0.91/1.29 , 0, 8, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.91/1.29 ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2467, [ ~( =( add( add( b, a ), c ), add( add( b, c ), a ) ) ) ] )
% 0.91/1.29 , clause( 2439, [ ~( =( add( add( b, c ), a ), add( add( b, a ), c ) ) ) ]
% 0.91/1.29 )
% 0.91/1.29 , 0, substitution( 0, [] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 20, [ ~( =( add( add( b, a ), c ), add( add( b, c ), a ) ) ) ] )
% 0.91/1.29 , clause( 2467, [ ~( =( add( add( b, a ), c ), add( add( b, c ), a ) ) ) ]
% 0.91/1.29 )
% 0.91/1.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2469, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.91/1.29 Z, Y ) ) ) ] )
% 0.91/1.29 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.91/1.29 ), Z ) ) ] )
% 0.91/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2473, [ =( add( multiply( X, Y ), inverse( Y ) ), multiply( add( X
% 0.91/1.29 , inverse( Y ) ), 'multiplicative_identity' ) ) ] )
% 0.91/1.29 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.91/1.29 , 0, clause( 2469, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.91/1.29 add( Z, Y ) ) ) ] )
% 0.91/1.29 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.29 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2474, [ =( add( multiply( X, Y ), inverse( Y ) ), add( X, inverse(
% 0.91/1.29 Y ) ) ) ] )
% 0.91/1.29 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.91/1.29 , 0, clause( 2473, [ =( add( multiply( X, Y ), inverse( Y ) ), multiply(
% 0.91/1.29 add( X, inverse( Y ) ), 'multiplicative_identity' ) ) ] )
% 0.91/1.29 , 0, 7, substitution( 0, [ :=( X, add( X, inverse( Y ) ) )] ),
% 0.91/1.29 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 23, [ =( add( multiply( Y, X ), inverse( X ) ), add( Y, inverse( X
% 0.91/1.29 ) ) ) ] )
% 0.91/1.29 , clause( 2474, [ =( add( multiply( X, Y ), inverse( Y ) ), add( X, inverse(
% 0.91/1.29 Y ) ) ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.29 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2476, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.91/1.29 Z, Y ) ) ) ] )
% 0.91/1.29 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.91/1.29 ), Z ) ) ] )
% 0.91/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2478, [ =( add( multiply( Y, X ), Z ), multiply( add( X, Z ), add(
% 0.91/1.29 Y, Z ) ) ) ] )
% 0.91/1.29 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.91/1.29 , 0, clause( 2476, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.91/1.29 add( Z, Y ) ) ) ] )
% 0.91/1.29 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.91/1.29 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2480, [ =( add( multiply( X, Y ), Z ), add( multiply( Y, X ), Z ) )
% 0.91/1.29 ] )
% 0.91/1.29 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.91/1.29 ), Z ) ) ] )
% 0.91/1.29 , 0, clause( 2478, [ =( add( multiply( Y, X ), Z ), multiply( add( X, Z ),
% 0.91/1.29 add( Y, Z ) ) ) ] )
% 0.91/1.29 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.91/1.29 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 24, [ =( add( multiply( X, Z ), Y ), add( multiply( Z, X ), Y ) ) ]
% 0.91/1.29 )
% 0.91/1.29 , clause( 2480, [ =( add( multiply( X, Y ), Z ), add( multiply( Y, X ), Z )
% 0.91/1.29 ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.91/1.29 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2482, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.91/1.29 Z, Y ) ) ) ] )
% 0.91/1.29 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.91/1.29 ), Z ) ) ] )
% 0.91/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2484, [ =( add( multiply( inverse( X ), Y ), X ), multiply(
% 0.91/1.29 'multiplicative_identity', add( Y, X ) ) ) ] )
% 0.91/1.29 , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.91/1.29 , 0, clause( 2482, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.91/1.29 add( Z, Y ) ) ) ] )
% 0.91/1.29 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.91/1.29 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2486, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.91/1.29 )
% 0.91/1.29 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.91/1.29 , 0, clause( 2484, [ =( add( multiply( inverse( X ), Y ), X ), multiply(
% 0.91/1.29 'multiplicative_identity', add( Y, X ) ) ) ] )
% 0.91/1.29 , 0, 7, substitution( 0, [ :=( X, add( Y, X ) )] ), substitution( 1, [ :=(
% 0.91/1.29 X, X ), :=( Y, Y )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 25, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ] )
% 0.91/1.29 , clause( 2486, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.91/1.29 )
% 0.91/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.29 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2488, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.91/1.29 Z, Y ) ) ) ] )
% 0.91/1.29 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.91/1.29 ), Z ) ) ] )
% 0.91/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2490, [ =( add( multiply( X, Y ), Z ), multiply( add( Z, X ), add(
% 0.91/1.29 Y, Z ) ) ) ] )
% 0.91/1.29 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.29 , 0, clause( 2488, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.91/1.29 add( Z, Y ) ) ) ] )
% 0.91/1.29 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.91/1.29 :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2498, [ =( multiply( add( Z, X ), add( Y, Z ) ), add( multiply( X,
% 0.91/1.29 Y ), Z ) ) ] )
% 0.91/1.29 , clause( 2490, [ =( add( multiply( X, Y ), Z ), multiply( add( Z, X ), add(
% 0.91/1.29 Y, Z ) ) ) ] )
% 0.91/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 27, [ =( multiply( add( Y, X ), add( Z, Y ) ), add( multiply( X, Z
% 0.91/1.29 ), Y ) ) ] )
% 0.91/1.29 , clause( 2498, [ =( multiply( add( Z, X ), add( Y, Z ) ), add( multiply( X
% 0.91/1.29 , Y ), Z ) ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.91/1.29 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2506, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X ) ) ]
% 0.91/1.29 )
% 0.91/1.29 , clause( 25, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.91/1.29 )
% 0.91/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2508, [ =( add( inverse( inverse( X ) ), X ), add(
% 0.91/1.29 'additive_identity', X ) ) ] )
% 0.91/1.29 , clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.91/1.29 , 0, clause( 2506, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X )
% 0.91/1.29 ) ] )
% 0.91/1.29 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.91/1.29 :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2509, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.91/1.29 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.91/1.29 , 0, clause( 2508, [ =( add( inverse( inverse( X ) ), X ), add(
% 0.91/1.29 'additive_identity', X ) ) ] )
% 0.91/1.29 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.91/1.29 ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 33, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.91/1.29 , clause( 2509, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2512, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X ) ) ]
% 0.91/1.29 )
% 0.91/1.29 , clause( 25, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.91/1.29 )
% 0.91/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2514, [ =( add( X, X ), add( 'additive_identity', X ) ) ] )
% 0.91/1.29 , clause( 9, [ =( multiply( inverse( X ), X ), 'additive_identity' ) ] )
% 0.91/1.29 , 0, clause( 2512, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X )
% 0.91/1.29 ) ] )
% 0.91/1.29 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.29 :=( Y, X )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2515, [ =( add( X, X ), X ) ] )
% 0.91/1.29 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.91/1.29 , 0, clause( 2514, [ =( add( X, X ), add( 'additive_identity', X ) ) ] )
% 0.91/1.29 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.91/1.29 ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 36, [ =( add( X, X ), X ) ] )
% 0.91/1.29 , clause( 2515, [ =( add( X, X ), X ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2518, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X ) ) ]
% 0.91/1.29 )
% 0.91/1.29 , clause( 25, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.91/1.29 )
% 0.91/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2520, [ =( add( 'multiplicative_identity', X ), add( inverse( X ),
% 0.91/1.29 X ) ) ] )
% 0.91/1.29 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.91/1.29 , 0, clause( 2518, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X )
% 0.91/1.29 ) ] )
% 0.91/1.29 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.91/1.29 :=( X, X ), :=( Y, 'multiplicative_identity' )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2521, [ =( add( 'multiplicative_identity', X ),
% 0.91/1.29 'multiplicative_identity' ) ] )
% 0.91/1.29 , clause( 7, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.91/1.29 , 0, clause( 2520, [ =( add( 'multiplicative_identity', X ), add( inverse(
% 0.91/1.29 X ), X ) ) ] )
% 0.91/1.29 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.91/1.29 ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 subsumption(
% 0.91/1.29 clause( 37, [ =( add( 'multiplicative_identity', X ),
% 0.91/1.29 'multiplicative_identity' ) ] )
% 0.91/1.29 , clause( 2521, [ =( add( 'multiplicative_identity', X ),
% 0.91/1.29 'multiplicative_identity' ) ] )
% 0.91/1.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 eqswap(
% 0.91/1.29 clause( 2524, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.91/1.29 Z, Y ) ) ) ] )
% 0.91/1.29 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.91/1.29 ), Z ) ) ] )
% 0.91/1.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 paramod(
% 0.91/1.29 clause( 2526, [ =( add( multiply( X, Y ), X ), multiply( X, add( Y, X ) ) )
% 0.91/1.29 ] )
% 0.91/1.29 , clause( 36, [ =( add( X, X ), X ) ] )
% 0.91/1.29 , 0, clause( 2524, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.91/1.30 add( Z, Y ) ) ) ] )
% 0.91/1.30 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.30 :=( Y, X ), :=( Z, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2529, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X ) )
% 0.91/1.30 ] )
% 0.91/1.30 , clause( 2526, [ =( add( multiply( X, Y ), X ), multiply( X, add( Y, X ) )
% 0.91/1.30 ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 38, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , clause( 2529, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X )
% 0.91/1.30 ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2532, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ), add(
% 0.91/1.30 Z, Y ) ) ) ] )
% 0.91/1.30 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.91/1.30 ), Z ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2535, [ =( add( multiply( X, Y ), Y ), multiply( add( X, Y ), Y ) )
% 0.91/1.30 ] )
% 0.91/1.30 , clause( 36, [ =( add( X, X ), X ) ] )
% 0.91/1.30 , 0, clause( 2532, [ =( add( multiply( X, Z ), Y ), multiply( add( X, Y ),
% 0.91/1.30 add( Z, Y ) ) ) ] )
% 0.91/1.30 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.30 :=( Y, Y ), :=( Z, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2538, [ =( multiply( add( X, Y ), Y ), add( multiply( X, Y ), Y ) )
% 0.91/1.30 ] )
% 0.91/1.30 , clause( 2535, [ =( add( multiply( X, Y ), Y ), multiply( add( X, Y ), Y )
% 0.91/1.30 ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 39, [ =( multiply( add( Y, X ), X ), add( multiply( Y, X ), X ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , clause( 2538, [ =( multiply( add( X, Y ), Y ), add( multiply( X, Y ), Y )
% 0.91/1.30 ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2539, [ =( 'multiplicative_identity', add(
% 0.91/1.30 'multiplicative_identity', X ) ) ] )
% 0.91/1.30 , clause( 37, [ =( add( 'multiplicative_identity', X ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2540, [ =( 'multiplicative_identity', add( X,
% 0.91/1.30 'multiplicative_identity' ) ) ] )
% 0.91/1.30 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.30 , 0, clause( 2539, [ =( 'multiplicative_identity', add(
% 0.91/1.30 'multiplicative_identity', X ) ) ] )
% 0.91/1.30 , 0, 2, substitution( 0, [ :=( X, 'multiplicative_identity' ), :=( Y, X )] )
% 0.91/1.30 , substitution( 1, [ :=( X, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2543, [ =( add( X, 'multiplicative_identity' ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , clause( 2540, [ =( 'multiplicative_identity', add( X,
% 0.91/1.30 'multiplicative_identity' ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 40, [ =( add( X, 'multiplicative_identity' ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , clause( 2543, [ =( add( X, 'multiplicative_identity' ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2545, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.91/1.30 X, Z ) ) ) ] )
% 0.91/1.30 , clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.91/1.30 , Z ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2547, [ =( add( X, multiply( X, Y ) ), multiply( X, add( X, Y ) ) )
% 0.91/1.30 ] )
% 0.91/1.30 , clause( 36, [ =( add( X, X ), X ) ] )
% 0.91/1.30 , 0, clause( 2545, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.91/1.30 add( X, Z ) ) ) ] )
% 0.91/1.30 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.30 :=( Y, X ), :=( Z, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2550, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) )
% 0.91/1.30 ] )
% 0.91/1.30 , clause( 2547, [ =( add( X, multiply( X, Y ) ), multiply( X, add( X, Y ) )
% 0.91/1.30 ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 41, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , clause( 2550, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) )
% 0.91/1.30 ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2553, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.91/1.30 X, Z ) ) ) ] )
% 0.91/1.30 , clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.91/1.30 , Z ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2556, [ =( add( X, multiply( Y, X ) ), multiply( add( X, Y ), X ) )
% 0.91/1.30 ] )
% 0.91/1.30 , clause( 36, [ =( add( X, X ), X ) ] )
% 0.91/1.30 , 0, clause( 2553, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.91/1.30 add( X, Z ) ) ) ] )
% 0.91/1.30 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.30 :=( Y, Y ), :=( Z, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2559, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) )
% 0.91/1.30 ] )
% 0.91/1.30 , clause( 2556, [ =( add( X, multiply( Y, X ) ), multiply( add( X, Y ), X )
% 0.91/1.30 ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 42, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , clause( 2559, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X ) )
% 0.91/1.30 ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2560, [ =( X, add( inverse( inverse( X ) ), X ) ) ] )
% 0.91/1.30 , clause( 33, [ =( add( inverse( inverse( X ) ), X ), X ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2561, [ =( X, add( X, inverse( inverse( X ) ) ) ) ] )
% 0.91/1.30 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.30 , 0, clause( 2560, [ =( X, add( inverse( inverse( X ) ), X ) ) ] )
% 0.91/1.30 , 0, 2, substitution( 0, [ :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )
% 0.91/1.30 , substitution( 1, [ :=( X, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2564, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.91/1.30 , clause( 2561, [ =( X, add( X, inverse( inverse( X ) ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 54, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.91/1.30 , clause( 2564, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2566, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.91/1.30 multiply( Z, Y ) ) ) ] )
% 0.91/1.30 , clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.91/1.30 X, Y ), Z ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2575, [ =( multiply( add( X, add( Y, Z ) ), add( T, Z ) ), add(
% 0.91/1.30 multiply( X, add( T, Z ) ), add( multiply( Y, T ), Z ) ) ) ] )
% 0.91/1.30 , clause( 2, [ =( multiply( add( X, Z ), add( Y, Z ) ), add( multiply( X, Y
% 0.91/1.30 ), Z ) ) ] )
% 0.91/1.30 , 0, clause( 2566, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.91/1.30 multiply( Z, Y ) ) ) ] )
% 0.91/1.30 , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z )] ),
% 0.91/1.30 substitution( 1, [ :=( X, X ), :=( Y, add( T, Z ) ), :=( Z, add( Y, Z ) )] )
% 0.91/1.30 ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2578, [ =( add( multiply( X, add( T, Z ) ), add( multiply( Y, T ),
% 0.91/1.30 Z ) ), multiply( add( X, add( Y, Z ) ), add( T, Z ) ) ) ] )
% 0.91/1.30 , clause( 2575, [ =( multiply( add( X, add( Y, Z ) ), add( T, Z ) ), add(
% 0.91/1.30 multiply( X, add( T, Z ) ), add( multiply( Y, T ), Z ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.91/1.30 ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 69, [ =( add( multiply( T, add( Z, Y ) ), add( multiply( X, Z ), Y
% 0.91/1.30 ) ), multiply( add( T, add( X, Y ) ), add( Z, Y ) ) ) ] )
% 0.91/1.30 , clause( 2578, [ =( add( multiply( X, add( T, Z ) ), add( multiply( Y, T )
% 0.91/1.30 , Z ) ), multiply( add( X, add( Y, Z ) ), add( T, Z ) ) ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.91/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2580, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.91/1.30 multiply( Z, Y ) ) ) ] )
% 0.91/1.30 , clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.91/1.30 X, Y ), Z ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2583, [ =( multiply( add( 'multiplicative_identity', X ), Y ), add(
% 0.91/1.30 Y, multiply( X, Y ) ) ) ] )
% 0.91/1.30 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.91/1.30 , 0, clause( 2580, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.91/1.30 multiply( Z, Y ) ) ) ] )
% 0.91/1.30 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 0.91/1.30 'multiplicative_identity' ), :=( Y, Y ), :=( Z, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2585, [ =( multiply( 'multiplicative_identity', Y ), add( Y,
% 0.91/1.30 multiply( X, Y ) ) ) ] )
% 0.91/1.30 , clause( 37, [ =( add( 'multiplicative_identity', X ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , 0, clause( 2583, [ =( multiply( add( 'multiplicative_identity', X ), Y )
% 0.91/1.30 , add( Y, multiply( X, Y ) ) ) ] )
% 0.91/1.30 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.30 :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2586, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.91/1.30 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.91/1.30 , 0, clause( 2585, [ =( multiply( 'multiplicative_identity', Y ), add( Y,
% 0.91/1.30 multiply( X, Y ) ) ) ] )
% 0.91/1.30 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.91/1.30 :=( Y, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2587, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.91/1.30 , clause( 2586, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 77, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.91/1.30 , clause( 2587, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2589, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.91/1.30 multiply( Z, Y ) ) ) ] )
% 0.91/1.30 , clause( 4, [ =( add( multiply( X, Z ), multiply( Y, Z ) ), multiply( add(
% 0.91/1.30 X, Y ), Z ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2593, [ =( multiply( add( X, 'multiplicative_identity' ), Y ), add(
% 0.91/1.30 multiply( X, Y ), Y ) ) ] )
% 0.91/1.30 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.91/1.30 , 0, clause( 2589, [ =( multiply( add( X, Z ), Y ), add( multiply( X, Y ),
% 0.91/1.30 multiply( Z, Y ) ) ) ] )
% 0.91/1.30 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.30 :=( Y, Y ), :=( Z, 'multiplicative_identity' )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2594, [ =( multiply( 'multiplicative_identity', Y ), add( multiply(
% 0.91/1.30 X, Y ), Y ) ) ] )
% 0.91/1.30 , clause( 40, [ =( add( X, 'multiplicative_identity' ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , 0, clause( 2593, [ =( multiply( add( X, 'multiplicative_identity' ), Y )
% 0.91/1.30 , add( multiply( X, Y ), Y ) ) ] )
% 0.91/1.30 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.30 :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2595, [ =( X, add( multiply( Y, X ), X ) ) ] )
% 0.91/1.30 , clause( 11, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.91/1.30 , 0, clause( 2594, [ =( multiply( 'multiplicative_identity', Y ), add(
% 0.91/1.30 multiply( X, Y ), Y ) ) ] )
% 0.91/1.30 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.91/1.30 :=( Y, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2596, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.91/1.30 , clause( 2595, [ =( X, add( multiply( Y, X ), X ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 78, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.91/1.30 , clause( 2596, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2597, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.91/1.30 , clause( 77, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2598, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.91/1.30 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.91/1.30 , 0, clause( 2597, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.91/1.30 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2601, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.91/1.30 , clause( 2598, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 85, [ =( add( Y, multiply( Y, X ) ), Y ) ] )
% 0.91/1.30 , clause( 2601, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2602, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.91/1.30 , clause( 85, [ =( add( Y, multiply( Y, X ) ), Y ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2603, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.91/1.30 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.30 , 0, clause( 2602, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.91/1.30 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 0.91/1.30 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2606, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.91/1.30 , clause( 2603, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 94, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.91/1.30 , clause( 2606, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2608, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.91/1.30 multiply( X, Z ) ) ) ] )
% 0.91/1.30 , clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.91/1.30 add( Y, Z ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2610, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.91/1.30 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.91/1.30 , clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.91/1.30 , 0, clause( 2608, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.91/1.30 multiply( X, Z ) ) ) ] )
% 0.91/1.30 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.30 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2612, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.91/1.30 ) ] )
% 0.91/1.30 , clause( 13, [ =( add( 'additive_identity', X ), X ) ] )
% 0.91/1.30 , 0, clause( 2610, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.91/1.30 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.91/1.30 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 104, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.91/1.30 ] )
% 0.91/1.30 , clause( 2612, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y
% 0.91/1.30 ) ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2615, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.91/1.30 multiply( X, Z ) ) ) ] )
% 0.91/1.30 , clause( 5, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.91/1.30 add( Y, Z ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2618, [ =( multiply( X, add( Y, inverse( X ) ) ), add( multiply( X
% 0.91/1.30 , Y ), 'additive_identity' ) ) ] )
% 0.91/1.30 , clause( 8, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.91/1.30 , 0, clause( 2615, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.91/1.30 multiply( X, Z ) ) ) ] )
% 0.91/1.30 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.30 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2619, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y )
% 0.91/1.30 ) ] )
% 0.91/1.30 , clause( 12, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.91/1.30 , 0, clause( 2618, [ =( multiply( X, add( Y, inverse( X ) ) ), add(
% 0.91/1.30 multiply( X, Y ), 'additive_identity' ) ) ] )
% 0.91/1.30 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 105, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y ) )
% 0.91/1.30 ] )
% 0.91/1.30 , clause( 2619, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y
% 0.91/1.30 ) ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2622, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) )
% 0.91/1.30 ) ] )
% 0.91/1.30 , clause( 104, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.91/1.30 ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2624, [ =( multiply( X, inverse( inverse( X ) ) ), multiply( X,
% 0.91/1.30 'multiplicative_identity' ) ) ] )
% 0.91/1.30 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.91/1.30 , 0, clause( 2622, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y
% 0.91/1.30 ) ) ) ] )
% 0.91/1.30 , 0, 8, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2625, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.91/1.30 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.91/1.30 , 0, clause( 2624, [ =( multiply( X, inverse( inverse( X ) ) ), multiply( X
% 0.91/1.30 , 'multiplicative_identity' ) ) ] )
% 0.91/1.30 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.91/1.30 ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 166, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.91/1.30 , clause( 2625, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2628, [ =( Y, add( multiply( X, Y ), Y ) ) ] )
% 0.91/1.30 , clause( 78, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2630, [ =( inverse( inverse( X ) ), add( X, inverse( inverse( X ) )
% 0.91/1.30 ) ) ] )
% 0.91/1.30 , clause( 166, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.91/1.30 , 0, clause( 2628, [ =( Y, add( multiply( X, Y ), Y ) ) ] )
% 0.91/1.30 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.30 :=( Y, inverse( inverse( X ) ) )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2631, [ =( inverse( inverse( X ) ), X ) ] )
% 0.91/1.30 , clause( 54, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.91/1.30 , 0, clause( 2630, [ =( inverse( inverse( X ) ), add( X, inverse( inverse(
% 0.91/1.30 X ) ) ) ) ] )
% 0.91/1.30 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.91/1.30 ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 171, [ =( inverse( inverse( X ) ), X ) ] )
% 0.91/1.30 , clause( 2631, [ =( inverse( inverse( X ) ), X ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2634, [ =( multiply( X, Y ), multiply( X, add( Y, inverse( X ) ) )
% 0.91/1.30 ) ] )
% 0.91/1.30 , clause( 105, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y )
% 0.91/1.30 ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2637, [ =( multiply( X, multiply( Y, X ) ), multiply( X, add( Y,
% 0.91/1.30 inverse( X ) ) ) ) ] )
% 0.91/1.30 , clause( 23, [ =( add( multiply( Y, X ), inverse( X ) ), add( Y, inverse(
% 0.91/1.30 X ) ) ) ] )
% 0.91/1.30 , 0, clause( 2634, [ =( multiply( X, Y ), multiply( X, add( Y, inverse( X )
% 0.91/1.30 ) ) ) ] )
% 0.91/1.30 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2638, [ =( multiply( X, multiply( Y, X ) ), multiply( X, Y ) ) ] )
% 0.91/1.30 , clause( 105, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y )
% 0.91/1.30 ) ] )
% 0.91/1.30 , 0, clause( 2637, [ =( multiply( X, multiply( Y, X ) ), multiply( X, add(
% 0.91/1.30 Y, inverse( X ) ) ) ) ] )
% 0.91/1.30 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 229, [ =( multiply( Y, multiply( X, Y ) ), multiply( Y, X ) ) ] )
% 0.91/1.30 , clause( 2638, [ =( multiply( X, multiply( Y, X ) ), multiply( X, Y ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2641, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , clause( 25, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2645, [ =( add( add( X, inverse( inverse( Y ) ) ), Y ), add(
% 0.91/1.30 multiply( inverse( Y ), X ), Y ) ) ] )
% 0.91/1.30 , clause( 105, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y )
% 0.91/1.30 ) ] )
% 0.91/1.30 , 0, clause( 2641, [ =( add( Y, X ), add( multiply( inverse( X ), Y ), X )
% 0.91/1.30 ) ] )
% 0.91/1.30 , 0, 9, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ),
% 0.91/1.30 substitution( 1, [ :=( X, Y ), :=( Y, add( X, inverse( inverse( Y ) ) ) )] )
% 0.91/1.30 ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2646, [ =( add( add( X, inverse( inverse( Y ) ) ), Y ), add( X, Y )
% 0.91/1.30 ) ] )
% 0.91/1.30 , clause( 25, [ =( add( multiply( inverse( X ), Y ), X ), add( Y, X ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , 0, clause( 2645, [ =( add( add( X, inverse( inverse( Y ) ) ), Y ), add(
% 0.91/1.30 multiply( inverse( Y ), X ), Y ) ) ] )
% 0.91/1.30 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2647, [ =( add( add( X, Y ), Y ), add( X, Y ) ) ] )
% 0.91/1.30 , clause( 171, [ =( inverse( inverse( X ) ), X ) ] )
% 0.91/1.30 , 0, clause( 2646, [ =( add( add( X, inverse( inverse( Y ) ) ), Y ), add( X
% 0.91/1.30 , Y ) ) ] )
% 0.91/1.30 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.30 :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 243, [ =( add( add( Y, X ), X ), add( Y, X ) ) ] )
% 0.91/1.30 , clause( 2647, [ =( add( add( X, Y ), Y ), add( X, Y ) ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2650, [ =( add( X, inverse( Y ) ), add( multiply( X, Y ), inverse(
% 0.91/1.30 Y ) ) ) ] )
% 0.91/1.30 , clause( 23, [ =( add( multiply( Y, X ), inverse( X ) ), add( Y, inverse(
% 0.91/1.30 X ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2651, [ =( add( X, inverse( multiply( Y, X ) ) ), add( multiply( X
% 0.91/1.30 , Y ), inverse( multiply( Y, X ) ) ) ) ] )
% 0.91/1.30 , clause( 229, [ =( multiply( Y, multiply( X, Y ) ), multiply( Y, X ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , 0, clause( 2650, [ =( add( X, inverse( Y ) ), add( multiply( X, Y ),
% 0.91/1.30 inverse( Y ) ) ) ] )
% 0.91/1.30 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2652, [ =( add( multiply( X, Y ), inverse( multiply( Y, X ) ) ),
% 0.91/1.30 add( X, inverse( multiply( Y, X ) ) ) ) ] )
% 0.91/1.30 , clause( 2651, [ =( add( X, inverse( multiply( Y, X ) ) ), add( multiply(
% 0.91/1.30 X, Y ), inverse( multiply( Y, X ) ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 245, [ =( add( multiply( X, Y ), inverse( multiply( Y, X ) ) ), add(
% 0.91/1.30 X, inverse( multiply( Y, X ) ) ) ) ] )
% 0.91/1.30 , clause( 2652, [ =( add( multiply( X, Y ), inverse( multiply( Y, X ) ) ),
% 0.91/1.30 add( X, inverse( multiply( Y, X ) ) ) ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2653, [ =( 'multiplicative_identity', add( X, inverse( X ) ) ) ] )
% 0.91/1.30 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2655, [ =( 'multiplicative_identity', add( multiply( Y, X ),
% 0.91/1.30 inverse( multiply( X, Y ) ) ) ) ] )
% 0.91/1.30 , clause( 24, [ =( add( multiply( X, Z ), Y ), add( multiply( Z, X ), Y ) )
% 0.91/1.30 ] )
% 0.91/1.30 , 0, clause( 2653, [ =( 'multiplicative_identity', add( X, inverse( X ) ) )
% 0.91/1.30 ] )
% 0.91/1.30 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( multiply( X, Y ) ) )
% 0.91/1.30 , :=( Z, Y )] ), substitution( 1, [ :=( X, multiply( X, Y ) )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2657, [ =( 'multiplicative_identity', add( X, inverse( multiply( Y
% 0.91/1.30 , X ) ) ) ) ] )
% 0.91/1.30 , clause( 245, [ =( add( multiply( X, Y ), inverse( multiply( Y, X ) ) ),
% 0.91/1.30 add( X, inverse( multiply( Y, X ) ) ) ) ] )
% 0.91/1.30 , 0, clause( 2655, [ =( 'multiplicative_identity', add( multiply( Y, X ),
% 0.91/1.30 inverse( multiply( X, Y ) ) ) ) ] )
% 0.91/1.30 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.91/1.30 :=( X, Y ), :=( Y, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2658, [ =( add( X, inverse( multiply( Y, X ) ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , clause( 2657, [ =( 'multiplicative_identity', add( X, inverse( multiply(
% 0.91/1.30 Y, X ) ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 263, [ =( add( Y, inverse( multiply( X, Y ) ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , clause( 2658, [ =( add( X, inverse( multiply( Y, X ) ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2659, [ =( add( multiply( Y, X ), Z ), add( Z, multiply( X, Y ) ) )
% 0.91/1.30 ] )
% 0.91/1.30 , clause( 24, [ =( add( multiply( X, Z ), Y ), add( multiply( Z, X ), Y ) )
% 0.91/1.30 ] )
% 0.91/1.30 , 0, clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.30 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.91/1.30 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 264, [ =( add( multiply( Y, X ), Z ), add( Z, multiply( X, Y ) ) )
% 0.91/1.30 ] )
% 0.91/1.30 , clause( 2659, [ =( add( multiply( Y, X ), Z ), add( Z, multiply( X, Y ) )
% 0.91/1.30 ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.91/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2663, [ =( 'multiplicative_identity', add( X, inverse( multiply( Y
% 0.91/1.30 , X ) ) ) ) ] )
% 0.91/1.30 , clause( 263, [ =( add( Y, inverse( multiply( X, Y ) ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2664, [ =( 'multiplicative_identity', add( inverse( multiply( Y, X
% 0.91/1.30 ) ), X ) ) ] )
% 0.91/1.30 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.30 , 0, clause( 2663, [ =( 'multiplicative_identity', add( X, inverse(
% 0.91/1.30 multiply( Y, X ) ) ) ) ] )
% 0.91/1.30 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( multiply( Y, X ) ) )] )
% 0.91/1.30 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2667, [ =( add( inverse( multiply( X, Y ) ), Y ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , clause( 2664, [ =( 'multiplicative_identity', add( inverse( multiply( Y,
% 0.91/1.30 X ) ), X ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 276, [ =( add( inverse( multiply( Y, X ) ), X ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , clause( 2667, [ =( add( inverse( multiply( X, Y ) ), Y ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2668, [ =( add( X, Y ), add( add( X, Y ), Y ) ) ] )
% 0.91/1.30 , clause( 243, [ =( add( add( Y, X ), X ), add( Y, X ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2671, [ =( add( X, Y ), add( Y, add( X, Y ) ) ) ] )
% 0.91/1.30 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.30 , 0, clause( 2668, [ =( add( X, Y ), add( add( X, Y ), Y ) ) ] )
% 0.91/1.30 , 0, 4, substitution( 0, [ :=( X, add( X, Y ) ), :=( Y, Y )] ),
% 0.91/1.30 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2673, [ =( add( X, Y ), add( Y, add( Y, X ) ) ) ] )
% 0.91/1.30 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.30 , 0, clause( 2671, [ =( add( X, Y ), add( Y, add( X, Y ) ) ) ] )
% 0.91/1.30 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2675, [ =( add( Y, X ), add( Y, add( Y, X ) ) ) ] )
% 0.91/1.30 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.30 , 0, clause( 2673, [ =( add( X, Y ), add( Y, add( Y, X ) ) ) ] )
% 0.91/1.30 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2676, [ =( add( X, Y ), add( add( X, Y ), X ) ) ] )
% 0.91/1.30 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.30 , 0, clause( 2675, [ =( add( Y, X ), add( Y, add( Y, X ) ) ) ] )
% 0.91/1.30 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, add( X, Y ) )] ),
% 0.91/1.30 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2680, [ =( add( add( X, Y ), X ), add( X, Y ) ) ] )
% 0.91/1.30 , clause( 2676, [ =( add( X, Y ), add( add( X, Y ), X ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 315, [ =( add( add( Y, X ), Y ), add( Y, X ) ) ] )
% 0.91/1.30 , clause( 2680, [ =( add( add( X, Y ), X ), add( X, Y ) ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2687, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.91/1.30 , clause( 94, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.91/1.30 , 0, clause( 38, [ =( multiply( X, add( Y, X ) ), add( multiply( X, Y ), X
% 0.91/1.30 ) ) ] )
% 0.91/1.30 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 523, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.91/1.30 , clause( 2687, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2690, [ =( 'multiplicative_identity', add( inverse( multiply( X, Y
% 0.91/1.30 ) ), Y ) ) ] )
% 0.91/1.30 , clause( 276, [ =( add( inverse( multiply( Y, X ) ), X ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2693, [ =( 'multiplicative_identity', add( inverse( X ), add( Y, X
% 0.91/1.30 ) ) ) ] )
% 0.91/1.30 , clause( 523, [ =( multiply( X, add( Y, X ) ), X ) ] )
% 0.91/1.30 , 0, clause( 2690, [ =( 'multiplicative_identity', add( inverse( multiply(
% 0.91/1.30 X, Y ) ), Y ) ) ] )
% 0.91/1.30 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, add( Y, X ) )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2694, [ =( add( inverse( X ), add( Y, X ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , clause( 2693, [ =( 'multiplicative_identity', add( inverse( X ), add( Y,
% 0.91/1.30 X ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 532, [ =( add( inverse( X ), add( Y, X ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , clause( 2694, [ =( add( inverse( X ), add( Y, X ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2696, [ =( 'multiplicative_identity', add( inverse( X ), add( Y, X
% 0.91/1.30 ) ) ) ] )
% 0.91/1.30 , clause( 532, [ =( add( inverse( X ), add( Y, X ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2703, [ =( 'multiplicative_identity', add( inverse( X ), add( X, Y
% 0.91/1.30 ) ) ) ] )
% 0.91/1.30 , clause( 315, [ =( add( add( Y, X ), Y ), add( Y, X ) ) ] )
% 0.91/1.30 , 0, clause( 2696, [ =( 'multiplicative_identity', add( inverse( X ), add(
% 0.91/1.30 Y, X ) ) ) ] )
% 0.91/1.30 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, add( X, Y ) )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2704, [ =( add( inverse( X ), add( X, Y ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , clause( 2703, [ =( 'multiplicative_identity', add( inverse( X ), add( X,
% 0.91/1.30 Y ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 545, [ =( add( inverse( X ), add( X, Y ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , clause( 2704, [ =( add( inverse( X ), add( X, Y ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2705, [ =( 'multiplicative_identity', add( inverse( X ), add( X, Y
% 0.91/1.30 ) ) ) ] )
% 0.91/1.30 , clause( 545, [ =( add( inverse( X ), add( X, Y ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2706, [ =( 'multiplicative_identity', add( add( X, Y ), inverse( X
% 0.91/1.30 ) ) ) ] )
% 0.91/1.30 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.30 , 0, clause( 2705, [ =( 'multiplicative_identity', add( inverse( X ), add(
% 0.91/1.30 X, Y ) ) ) ] )
% 0.91/1.30 , 0, 2, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, add( X, Y ) )] ),
% 0.91/1.30 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2710, [ =( add( add( X, Y ), inverse( X ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , clause( 2706, [ =( 'multiplicative_identity', add( add( X, Y ), inverse(
% 0.91/1.30 X ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 568, [ =( add( add( X, Y ), inverse( X ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , clause( 2710, [ =( add( add( X, Y ), inverse( X ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2715, [ =( 'multiplicative_identity', add( add( X, Y ), inverse( X
% 0.91/1.30 ) ) ) ] )
% 0.91/1.30 , clause( 568, [ =( add( add( X, Y ), inverse( X ) ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2716, [ =( 'multiplicative_identity', add( add( inverse( X ), Y ),
% 0.91/1.30 X ) ) ] )
% 0.91/1.30 , clause( 171, [ =( inverse( inverse( X ) ), X ) ] )
% 0.91/1.30 , 0, clause( 2715, [ =( 'multiplicative_identity', add( add( X, Y ),
% 0.91/1.30 inverse( X ) ) ) ] )
% 0.91/1.30 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.91/1.30 X ) ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2717, [ =( add( add( inverse( X ), Y ), X ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , clause( 2716, [ =( 'multiplicative_identity', add( add( inverse( X ), Y )
% 0.91/1.30 , X ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 573, [ =( add( add( inverse( X ), Y ), X ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , clause( 2717, [ =( add( add( inverse( X ), Y ), X ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2720, [ =( multiply( add( X, Y ), Y ), Y ) ] )
% 0.91/1.30 , clause( 78, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.91/1.30 , 0, clause( 39, [ =( multiply( add( Y, X ), X ), add( multiply( Y, X ), X
% 0.91/1.30 ) ) ] )
% 0.91/1.30 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.91/1.30 :=( X, Y ), :=( Y, X )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 580, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.91/1.30 , clause( 2720, [ =( multiply( add( X, Y ), Y ), Y ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2723, [ =( add( multiply( Y, Z ), X ), multiply( add( X, Y ), add(
% 0.91/1.30 Z, X ) ) ) ] )
% 0.91/1.30 , clause( 27, [ =( multiply( add( Y, X ), add( Z, Y ) ), add( multiply( X,
% 0.91/1.30 Z ), Y ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2726, [ =( add( multiply( X, add( inverse( Y ), Z ) ), Y ),
% 0.91/1.30 multiply( add( Y, X ), 'multiplicative_identity' ) ) ] )
% 0.91/1.30 , clause( 573, [ =( add( add( inverse( X ), Y ), X ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , 0, clause( 2723, [ =( add( multiply( Y, Z ), X ), multiply( add( X, Y ),
% 0.91/1.30 add( Z, X ) ) ) ] )
% 0.91/1.30 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.91/1.30 :=( X, Y ), :=( Y, X ), :=( Z, add( inverse( Y ), Z ) )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2727, [ =( add( multiply( X, add( inverse( Y ), Z ) ), Y ), add( Y
% 0.91/1.30 , X ) ) ] )
% 0.91/1.30 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.91/1.30 , 0, clause( 2726, [ =( add( multiply( X, add( inverse( Y ), Z ) ), Y ),
% 0.91/1.30 multiply( add( Y, X ), 'multiplicative_identity' ) ) ] )
% 0.91/1.30 , 0, 9, substitution( 0, [ :=( X, add( Y, X ) )] ), substitution( 1, [ :=(
% 0.91/1.30 X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 596, [ =( add( multiply( Z, add( inverse( X ), Y ) ), X ), add( X,
% 0.91/1.30 Z ) ) ] )
% 0.91/1.30 , clause( 2727, [ =( add( multiply( X, add( inverse( Y ), Z ) ), Y ), add(
% 0.91/1.30 Y, X ) ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.91/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2731, [ =( multiply( X, add( X, Y ) ), X ) ] )
% 0.91/1.30 , clause( 85, [ =( add( Y, multiply( Y, X ) ), Y ) ] )
% 0.91/1.30 , 0, clause( 41, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y )
% 0.91/1.30 ) ) ] )
% 0.91/1.30 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 602, [ =( multiply( X, add( X, Y ) ), X ) ] )
% 0.91/1.30 , clause( 2731, [ =( multiply( X, add( X, Y ) ), X ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2735, [ =( multiply( add( X, Y ), X ), X ) ] )
% 0.91/1.30 , clause( 77, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.91/1.30 , 0, clause( 42, [ =( multiply( add( X, Y ), X ), add( X, multiply( Y, X )
% 0.91/1.30 ) ) ] )
% 0.91/1.30 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 645, [ =( multiply( add( X, Y ), X ), X ) ] )
% 0.91/1.30 , clause( 2735, [ =( multiply( add( X, Y ), X ), X ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.91/1.30 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2738, [ =( multiply( add( X, add( T, Z ) ), add( Y, Z ) ), add(
% 0.91/1.30 multiply( X, add( Y, Z ) ), add( multiply( T, Y ), Z ) ) ) ] )
% 0.91/1.30 , clause( 69, [ =( add( multiply( T, add( Z, Y ) ), add( multiply( X, Z ),
% 0.91/1.30 Y ) ), multiply( add( T, add( X, Y ) ), add( Z, Y ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T, X )] )
% 0.91/1.30 ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2743, [ =( multiply( add( X, add( Y, Z ) ), add( X, Z ) ), add( X,
% 0.91/1.30 add( multiply( Y, X ), Z ) ) ) ] )
% 0.91/1.30 , clause( 602, [ =( multiply( X, add( X, Y ) ), X ) ] )
% 0.91/1.30 , 0, clause( 2738, [ =( multiply( add( X, add( T, Z ) ), add( Y, Z ) ), add(
% 0.91/1.30 multiply( X, add( Y, Z ) ), add( multiply( T, Y ), Z ) ) ) ] )
% 0.91/1.30 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2745, [ =( add( X, multiply( add( Y, Z ), Z ) ), add( X, add(
% 0.91/1.30 multiply( Y, X ), Z ) ) ) ] )
% 0.91/1.30 , clause( 3, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.91/1.30 , Z ) ) ) ] )
% 0.91/1.30 , 0, clause( 2743, [ =( multiply( add( X, add( Y, Z ) ), add( X, Z ) ), add(
% 0.91/1.30 X, add( multiply( Y, X ), Z ) ) ) ] )
% 0.91/1.30 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, add( Y, Z ) ), :=( Z, Z )] )
% 0.91/1.30 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2746, [ =( add( X, Z ), add( X, add( multiply( Y, X ), Z ) ) ) ] )
% 0.91/1.30 , clause( 580, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.91/1.30 , 0, clause( 2745, [ =( add( X, multiply( add( Y, Z ), Z ) ), add( X, add(
% 0.91/1.30 multiply( Y, X ), Z ) ) ) ] )
% 0.91/1.30 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2747, [ =( add( X, add( multiply( Z, X ), Y ) ), add( X, Y ) ) ] )
% 0.91/1.30 , clause( 2746, [ =( add( X, Z ), add( X, add( multiply( Y, X ), Z ) ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 1470, [ =( add( X, add( multiply( Z, X ), Y ) ), add( X, Y ) ) ] )
% 0.91/1.30 , clause( 2747, [ =( add( X, add( multiply( Z, X ), Y ) ), add( X, Y ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.91/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2749, [ =( multiply( add( X, add( T, Z ) ), add( Y, Z ) ), add(
% 0.91/1.30 multiply( X, add( Y, Z ) ), add( multiply( T, Y ), Z ) ) ) ] )
% 0.91/1.30 , clause( 69, [ =( add( multiply( T, add( Z, Y ) ), add( multiply( X, Z ),
% 0.91/1.30 Y ) ), multiply( add( T, add( X, Y ) ), add( Z, Y ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T, X )] )
% 0.91/1.30 ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2756, [ =( multiply( add( X, add( Y, Z ) ), add( add( inverse( Z )
% 0.91/1.30 , T ), Z ) ), add( multiply( X, 'multiplicative_identity' ), add(
% 0.91/1.30 multiply( Y, add( inverse( Z ), T ) ), Z ) ) ) ] )
% 0.91/1.30 , clause( 573, [ =( add( add( inverse( X ), Y ), X ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , 0, clause( 2749, [ =( multiply( add( X, add( T, Z ) ), add( Y, Z ) ), add(
% 0.91/1.30 multiply( X, add( Y, Z ) ), add( multiply( T, Y ), Z ) ) ) ] )
% 0.91/1.30 , 0, 16, substitution( 0, [ :=( X, Z ), :=( Y, T )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, add( inverse( Z ), T ) ), :=( Z, Z ), :=( T, Y )] )
% 0.91/1.30 ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2757, [ =( multiply( add( X, add( Y, Z ) ),
% 0.91/1.30 'multiplicative_identity' ), add( multiply( X, 'multiplicative_identity'
% 0.91/1.30 ), add( multiply( Y, add( inverse( Z ), T ) ), Z ) ) ) ] )
% 0.91/1.30 , clause( 573, [ =( add( add( inverse( X ), Y ), X ),
% 0.91/1.30 'multiplicative_identity' ) ] )
% 0.91/1.30 , 0, clause( 2756, [ =( multiply( add( X, add( Y, Z ) ), add( add( inverse(
% 0.91/1.30 Z ), T ), Z ) ), add( multiply( X, 'multiplicative_identity' ), add(
% 0.91/1.30 multiply( Y, add( inverse( Z ), T ) ), Z ) ) ) ] )
% 0.91/1.30 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, T )] ), substitution( 1, [
% 0.91/1.30 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2761, [ =( multiply( add( X, add( Y, Z ) ),
% 0.91/1.30 'multiplicative_identity' ), add( X, add( multiply( Y, add( inverse( Z )
% 0.91/1.30 , T ) ), Z ) ) ) ] )
% 0.91/1.30 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.91/1.30 , 0, clause( 2757, [ =( multiply( add( X, add( Y, Z ) ),
% 0.91/1.30 'multiplicative_identity' ), add( multiply( X, 'multiplicative_identity'
% 0.91/1.30 ), add( multiply( Y, add( inverse( Z ), T ) ), Z ) ) ) ] )
% 0.91/1.30 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.91/1.30 :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2763, [ =( multiply( add( X, add( Y, Z ) ),
% 0.91/1.30 'multiplicative_identity' ), add( X, add( Z, Y ) ) ) ] )
% 0.91/1.30 , clause( 596, [ =( add( multiply( Z, add( inverse( X ), Y ) ), X ), add( X
% 0.91/1.30 , Z ) ) ] )
% 0.91/1.30 , 0, clause( 2761, [ =( multiply( add( X, add( Y, Z ) ),
% 0.91/1.30 'multiplicative_identity' ), add( X, add( multiply( Y, add( inverse( Z )
% 0.91/1.30 , T ) ), Z ) ) ) ] )
% 0.91/1.30 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y )] ),
% 0.91/1.30 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2764, [ =( add( X, add( Y, Z ) ), add( X, add( Z, Y ) ) ) ] )
% 0.91/1.30 , clause( 10, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.91/1.30 , 0, clause( 2763, [ =( multiply( add( X, add( Y, Z ) ),
% 0.91/1.30 'multiplicative_identity' ), add( X, add( Z, Y ) ) ) ] )
% 0.91/1.30 , 0, 1, substitution( 0, [ :=( X, add( X, add( Y, Z ) ) )] ),
% 0.91/1.30 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 1471, [ =( add( Z, add( X, T ) ), add( Z, add( T, X ) ) ) ] )
% 0.91/1.30 , clause( 2764, [ =( add( X, add( Y, Z ) ), add( X, add( Z, Y ) ) ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T )] ),
% 0.91/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2765, [ =( add( X, add( Z, Y ) ), add( add( Y, Z ), X ) ) ] )
% 0.91/1.30 , clause( 1471, [ =( add( Z, add( X, T ) ), add( Z, add( T, X ) ) ) ] )
% 0.91/1.30 , 0, clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.91/1.30 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X ), :=( T, Z )] )
% 0.91/1.30 , substitution( 1, [ :=( X, X ), :=( Y, add( Y, Z ) )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 1630, [ =( add( X, add( Z, Y ) ), add( add( Y, Z ), X ) ) ] )
% 0.91/1.30 , clause( 2765, [ =( add( X, add( Z, Y ) ), add( add( Y, Z ), X ) ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.91/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2770, [ =( add( X, Z ), add( X, add( multiply( Y, X ), Z ) ) ) ] )
% 0.91/1.30 , clause( 1470, [ =( add( X, add( multiply( Z, X ), Y ) ), add( X, Y ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2807, [ =( add( X, Y ), add( X, add( Y, multiply( X, Z ) ) ) ) ] )
% 0.91/1.30 , clause( 264, [ =( add( multiply( Y, X ), Z ), add( Z, multiply( X, Y ) )
% 0.91/1.30 ) ] )
% 0.91/1.30 , 0, clause( 2770, [ =( add( X, Z ), add( X, add( multiply( Y, X ), Z ) ) )
% 0.91/1.30 ] )
% 0.91/1.30 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.91/1.30 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2818, [ =( add( X, add( Y, multiply( X, Z ) ) ), add( X, Y ) ) ] )
% 0.91/1.30 , clause( 2807, [ =( add( X, Y ), add( X, add( Y, multiply( X, Z ) ) ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 2135, [ =( add( Y, add( Z, multiply( Y, X ) ) ), add( Y, Z ) ) ] )
% 0.91/1.30 , clause( 2818, [ =( add( X, add( Y, multiply( X, Z ) ) ), add( X, Y ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.91/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2820, [ =( add( X, Z ), add( X, add( multiply( Y, X ), Z ) ) ) ] )
% 0.91/1.30 , clause( 1470, [ =( add( X, add( multiply( Z, X ), Y ) ), add( X, Y ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2823, [ =( add( add( X, Y ), Z ), add( add( X, Y ), add( X, Z ) ) )
% 0.91/1.30 ] )
% 0.91/1.30 , clause( 602, [ =( multiply( X, add( X, Y ) ), X ) ] )
% 0.91/1.30 , 0, clause( 2820, [ =( add( X, Z ), add( X, add( multiply( Y, X ), Z ) ) )
% 0.91/1.30 ] )
% 0.91/1.30 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.91/1.30 :=( X, add( X, Y ) ), :=( Y, X ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2824, [ =( add( add( X, Y ), add( X, Z ) ), add( add( X, Y ), Z ) )
% 0.91/1.30 ] )
% 0.91/1.30 , clause( 2823, [ =( add( add( X, Y ), Z ), add( add( X, Y ), add( X, Z ) )
% 0.91/1.30 ) ] )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 2143, [ =( add( add( X, Y ), add( X, Z ) ), add( add( X, Y ), Z ) )
% 0.91/1.30 ] )
% 0.91/1.30 , clause( 2824, [ =( add( add( X, Y ), add( X, Z ) ), add( add( X, Y ), Z )
% 0.91/1.30 ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.91/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2825, [ =( add( X, Y ), add( X, add( Y, multiply( X, Z ) ) ) ) ] )
% 0.91/1.30 , clause( 2135, [ =( add( Y, add( Z, multiply( Y, X ) ) ), add( Y, Z ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2846, [ =( add( X, Y ), add( add( multiply( X, Z ), Y ), X ) ) ] )
% 0.91/1.30 , clause( 1630, [ =( add( X, add( Z, Y ) ), add( add( Y, Z ), X ) ) ] )
% 0.91/1.30 , 0, clause( 2825, [ =( add( X, Y ), add( X, add( Y, multiply( X, Z ) ) ) )
% 0.91/1.30 ] )
% 0.91/1.30 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Z ) ), :=( Z, Y
% 0.91/1.30 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2852, [ =( add( add( multiply( X, Z ), Y ), X ), add( X, Y ) ) ] )
% 0.91/1.30 , clause( 2846, [ =( add( X, Y ), add( add( multiply( X, Z ), Y ), X ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 2161, [ =( add( add( multiply( X, Z ), Y ), X ), add( X, Y ) ) ] )
% 0.91/1.30 , clause( 2852, [ =( add( add( multiply( X, Z ), Y ), X ), add( X, Y ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.91/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2854, [ =( add( X, Z ), add( add( multiply( X, Y ), Z ), X ) ) ] )
% 0.91/1.30 , clause( 2161, [ =( add( add( multiply( X, Z ), Y ), X ), add( X, Y ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2857, [ =( add( add( X, Y ), Z ), add( add( X, Z ), add( X, Y ) ) )
% 0.91/1.30 ] )
% 0.91/1.30 , clause( 645, [ =( multiply( add( X, Y ), X ), X ) ] )
% 0.91/1.30 , 0, clause( 2854, [ =( add( X, Z ), add( add( multiply( X, Y ), Z ), X ) )
% 0.91/1.30 ] )
% 0.91/1.30 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.91/1.30 :=( X, add( X, Y ) ), :=( Y, X ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2858, [ =( add( add( X, Y ), Z ), add( add( X, Z ), Y ) ) ] )
% 0.91/1.30 , clause( 2143, [ =( add( add( X, Y ), add( X, Z ) ), add( add( X, Y ), Z )
% 0.91/1.30 ) ] )
% 0.91/1.30 , 0, clause( 2857, [ =( add( add( X, Y ), Z ), add( add( X, Z ), add( X, Y
% 0.91/1.30 ) ) ) ] )
% 0.91/1.30 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.91/1.30 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 2210, [ =( add( add( X, Z ), Y ), add( add( X, Y ), Z ) ) ] )
% 0.91/1.30 , clause( 2858, [ =( add( add( X, Y ), Z ), add( add( X, Z ), Y ) ) ] )
% 0.91/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.91/1.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqswap(
% 0.91/1.30 clause( 2859, [ ~( =( add( add( b, c ), a ), add( add( b, a ), c ) ) ) ] )
% 0.91/1.30 , clause( 20, [ ~( =( add( add( b, a ), c ), add( add( b, c ), a ) ) ) ] )
% 0.91/1.30 , 0, substitution( 0, [] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 paramod(
% 0.91/1.30 clause( 2861, [ ~( =( add( add( b, c ), a ), add( add( b, c ), a ) ) ) ] )
% 0.91/1.30 , clause( 2210, [ =( add( add( X, Z ), Y ), add( add( X, Y ), Z ) ) ] )
% 0.91/1.30 , 0, clause( 2859, [ ~( =( add( add( b, c ), a ), add( add( b, a ), c ) ) )
% 0.91/1.30 ] )
% 0.91/1.30 , 0, 7, substitution( 0, [ :=( X, b ), :=( Y, c ), :=( Z, a )] ),
% 0.91/1.30 substitution( 1, [] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 eqrefl(
% 0.91/1.30 clause( 2864, [] )
% 0.91/1.30 , clause( 2861, [ ~( =( add( add( b, c ), a ), add( add( b, c ), a ) ) ) ]
% 0.91/1.30 )
% 0.91/1.30 , 0, substitution( 0, [] )).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 subsumption(
% 0.91/1.30 clause( 2294, [] )
% 0.91/1.30 , clause( 2864, [] )
% 0.91/1.30 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 end.
% 0.91/1.30
% 0.91/1.30 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.91/1.30
% 0.91/1.30 Memory use:
% 0.91/1.30
% 0.91/1.30 space for terms: 30357
% 0.91/1.30 space for clauses: 238508
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 clauses generated: 47283
% 0.91/1.30 clauses kept: 2295
% 0.91/1.30 clauses selected: 255
% 0.91/1.30 clauses deleted: 74
% 0.91/1.30 clauses inuse deleted: 21
% 0.91/1.30
% 0.91/1.30 subsentry: 7862
% 0.91/1.30 literals s-matched: 4402
% 0.91/1.30 literals matched: 4116
% 0.91/1.30 full subsumption: 0
% 0.91/1.30
% 0.91/1.30 checksum: -1920443782
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 Bliksem ended
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