TSTP Solution File: BOO015-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : BOO015-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 23:30:40 EDT 2022
% Result : Unsatisfiable 0.93s 1.32s
% Output : Refutation 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : BOO015-4 : TPTP v8.1.0. Released v1.1.0.
% 0.00/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 1 18:04:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.93/1.32 *** allocated 10000 integers for termspace/termends
% 0.93/1.32 *** allocated 10000 integers for clauses
% 0.93/1.32 *** allocated 10000 integers for justifications
% 0.93/1.32 Bliksem 1.12
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 Automatic Strategy Selection
% 0.93/1.32
% 0.93/1.32 Clauses:
% 0.93/1.32 [
% 0.93/1.32 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.93/1.32 [ =( multiply( X, Y ), multiply( Y, X ) ) ],
% 0.93/1.32 [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add( X, Z ) ) )
% 0.93/1.32 ],
% 0.93/1.32 [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ), multiply( X, Z )
% 0.93/1.32 ) ) ],
% 0.93/1.32 [ =( add( X, 'additive_identity' ), X ) ],
% 0.93/1.32 [ =( multiply( X, 'multiplicative_identity' ), X ) ],
% 0.93/1.32 [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ],
% 0.93/1.32 [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ],
% 0.93/1.32 [ ~( =( inverse( multiply( a, b ) ), add( inverse( a ), inverse( b ) ) )
% 0.93/1.32 ) ]
% 0.93/1.32 ] .
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 percentage equality = 1.000000, percentage horn = 1.000000
% 0.93/1.32 This is a pure equality problem
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 Options Used:
% 0.93/1.32
% 0.93/1.32 useres = 1
% 0.93/1.32 useparamod = 1
% 0.93/1.32 useeqrefl = 1
% 0.93/1.32 useeqfact = 1
% 0.93/1.32 usefactor = 1
% 0.93/1.32 usesimpsplitting = 0
% 0.93/1.32 usesimpdemod = 5
% 0.93/1.32 usesimpres = 3
% 0.93/1.32
% 0.93/1.32 resimpinuse = 1000
% 0.93/1.32 resimpclauses = 20000
% 0.93/1.32 substype = eqrewr
% 0.93/1.32 backwardsubs = 1
% 0.93/1.32 selectoldest = 5
% 0.93/1.32
% 0.93/1.32 litorderings [0] = split
% 0.93/1.32 litorderings [1] = extend the termordering, first sorting on arguments
% 0.93/1.32
% 0.93/1.32 termordering = kbo
% 0.93/1.32
% 0.93/1.32 litapriori = 0
% 0.93/1.32 termapriori = 1
% 0.93/1.32 litaposteriori = 0
% 0.93/1.32 termaposteriori = 0
% 0.93/1.32 demodaposteriori = 0
% 0.93/1.32 ordereqreflfact = 0
% 0.93/1.32
% 0.93/1.32 litselect = negord
% 0.93/1.32
% 0.93/1.32 maxweight = 15
% 0.93/1.32 maxdepth = 30000
% 0.93/1.32 maxlength = 115
% 0.93/1.32 maxnrvars = 195
% 0.93/1.32 excuselevel = 1
% 0.93/1.32 increasemaxweight = 1
% 0.93/1.32
% 0.93/1.32 maxselected = 10000000
% 0.93/1.32 maxnrclauses = 10000000
% 0.93/1.32
% 0.93/1.32 showgenerated = 0
% 0.93/1.32 showkept = 0
% 0.93/1.32 showselected = 0
% 0.93/1.32 showdeleted = 0
% 0.93/1.32 showresimp = 1
% 0.93/1.32 showstatus = 2000
% 0.93/1.32
% 0.93/1.32 prologoutput = 1
% 0.93/1.32 nrgoals = 5000000
% 0.93/1.32 totalproof = 1
% 0.93/1.32
% 0.93/1.32 Symbols occurring in the translation:
% 0.93/1.32
% 0.93/1.32 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.93/1.32 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.93/1.32 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.93/1.32 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.93/1.32 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.93/1.32 add [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.93/1.32 multiply [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.93/1.32 'additive_identity' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.93/1.32 'multiplicative_identity' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.93/1.32 inverse [46, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.93/1.32 a [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.93/1.32 b [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 Starting Search:
% 0.93/1.32
% 0.93/1.32 Resimplifying inuse:
% 0.93/1.32 Done
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 Intermediate Status:
% 0.93/1.32 Generated: 48808
% 0.93/1.32 Kept: 2008
% 0.93/1.32 Inuse: 247
% 0.93/1.32 Deleted: 70
% 0.93/1.32 Deletedinuse: 18
% 0.93/1.32
% 0.93/1.32 Resimplifying inuse:
% 0.93/1.32 Done
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 Bliksems!, er is een bewijs:
% 0.93/1.32 % SZS status Unsatisfiable
% 0.93/1.32 % SZS output start Refutation
% 0.93/1.32
% 0.93/1.32 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.93/1.32 Z ) ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.93/1.32 Y, Z ) ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 8, [ ~( =( add( inverse( a ), inverse( b ) ), inverse( multiply( a
% 0.93/1.32 , b ) ) ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 10, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 11, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 12, [ =( add( 'additive_identity', X ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 15, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply( Y
% 0.93/1.32 , Z ) ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 18, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 19, [ =( add( X, multiply( Y, inverse( X ) ) ), add( X, Y ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 23, [ =( add( inverse( X ), multiply( Y, X ) ), add( inverse( X ),
% 0.93/1.32 Y ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 34, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.93/1.32 ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 35, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y ) )
% 0.93/1.32 ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 40, [ =( multiply( X, X ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 43, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 44, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.93/1.32 ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 45, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) ) ]
% 0.93/1.32 )
% 0.93/1.32 .
% 0.93/1.32 clause( 47, [ =( multiply( 'additive_identity', X ), 'additive_identity' )
% 0.93/1.32 ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 48, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 50, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 52, [ =( add( X, multiply( Z, multiply( X, Y ) ) ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 57, [ =( multiply( add( X, Z ), X ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 60, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 61, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 75, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 88, [ =( multiply( X, multiply( Y, inverse( X ) ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 99, [ =( add( Y, add( X, Y ) ), add( X, Y ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 106, [ =( add( X, inverse( inverse( X ) ) ), inverse( inverse( X )
% 0.93/1.32 ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 113, [ =( multiply( X, add( multiply( Y, inverse( X ) ), Z ) ),
% 0.93/1.32 multiply( X, Z ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 124, [ =( inverse( inverse( X ) ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 125, [ =( multiply( inverse( X ), multiply( Y, X ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 133, [ =( multiply( inverse( Y ), multiply( Y, X ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 148, [ =( add( Y, add( X, inverse( Y ) ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 155, [ =( multiply( inverse( add( X, Y ) ), X ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 167, [ =( add( X, inverse( add( inverse( X ), Y ) ) ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 171, [ =( add( inverse( X ), add( Y, X ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 187, [ =( add( add( Y, X ), inverse( X ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 192, [ =( add( X, inverse( multiply( Y, X ) ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 214, [ =( multiply( X, inverse( multiply( Y, inverse( X ) ) ) ), X
% 0.93/1.32 ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 251, [ =( add( multiply( Y, X ), inverse( X ) ), add( inverse( X )
% 0.93/1.32 , Y ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 577, [ =( add( inverse( add( inverse( X ), Y ) ), X ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 578, [ =( multiply( X, inverse( add( inverse( X ), Y ) ) ), inverse(
% 0.93/1.32 add( inverse( X ), Y ) ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 580, [ =( add( inverse( add( Y, inverse( X ) ) ), X ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 1919, [ =( add( multiply( X, Y ), inverse( add( Y, inverse( X ) ) )
% 0.93/1.32 ), X ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 2512, [ =( inverse( add( inverse( Y ), inverse( X ) ) ), multiply(
% 0.93/1.32 Y, X ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 2545, [ =( multiply( add( inverse( X ), inverse( Y ) ), Z ),
% 0.93/1.32 inverse( add( multiply( X, Y ), inverse( Z ) ) ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 2551, [ =( add( inverse( X ), inverse( Y ) ), inverse( multiply( X
% 0.93/1.32 , Y ) ) ) ] )
% 0.93/1.32 .
% 0.93/1.32 clause( 2554, [] )
% 0.93/1.32 .
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 % SZS output end Refutation
% 0.93/1.32 found a proof!
% 0.93/1.32
% 0.93/1.32 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.93/1.32
% 0.93/1.32 initialclauses(
% 0.93/1.32 [ clause( 2556, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.93/1.32 , clause( 2557, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.93/1.32 , clause( 2558, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.93/1.32 X, Z ) ) ) ] )
% 0.93/1.32 , clause( 2559, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.93/1.32 multiply( X, Z ) ) ) ] )
% 0.93/1.32 , clause( 2560, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.93/1.32 , clause( 2561, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.93/1.32 , clause( 2562, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ]
% 0.93/1.32 )
% 0.93/1.32 , clause( 2563, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ]
% 0.93/1.32 )
% 0.93/1.32 , clause( 2564, [ ~( =( inverse( multiply( a, b ) ), add( inverse( a ),
% 0.93/1.32 inverse( b ) ) ) ) ] )
% 0.93/1.32 ] ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.93/1.32 , clause( 2556, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.93/1.32 , clause( 2557, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2565, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.93/1.32 Y, Z ) ) ) ] )
% 0.93/1.32 , clause( 2558, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.93/1.32 X, Z ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y,
% 0.93/1.32 Z ) ) ) ] )
% 0.93/1.32 , clause( 2565, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply(
% 0.93/1.32 Y, Z ) ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.93/1.32 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2567, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.93/1.32 add( Y, Z ) ) ) ] )
% 0.93/1.32 , clause( 2559, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.93/1.32 multiply( X, Z ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X, add(
% 0.93/1.32 Y, Z ) ) ) ] )
% 0.93/1.32 , clause( 2567, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X
% 0.93/1.32 , add( Y, Z ) ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.93/1.32 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.93/1.32 , clause( 2560, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.93/1.32 , clause( 2561, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.93/1.32 , clause( 2562, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ]
% 0.93/1.32 )
% 0.93/1.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.93/1.32 , clause( 2563, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ]
% 0.93/1.32 )
% 0.93/1.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2592, [ ~( =( add( inverse( a ), inverse( b ) ), inverse( multiply(
% 0.93/1.32 a, b ) ) ) ) ] )
% 0.93/1.32 , clause( 2564, [ ~( =( inverse( multiply( a, b ) ), add( inverse( a ),
% 0.93/1.32 inverse( b ) ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 8, [ ~( =( add( inverse( a ), inverse( b ) ), inverse( multiply( a
% 0.93/1.32 , b ) ) ) ) ] )
% 0.93/1.32 , clause( 2592, [ ~( =( add( inverse( a ), inverse( b ) ), inverse(
% 0.93/1.32 multiply( a, b ) ) ) ) ] )
% 0.93/1.32 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2593, [ =( X, multiply( X, 'multiplicative_identity' ) ) ] )
% 0.93/1.32 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2594, [ =( X, multiply( 'multiplicative_identity', X ) ) ] )
% 0.93/1.32 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.93/1.32 , 0, clause( 2593, [ =( X, multiply( X, 'multiplicative_identity' ) ) ] )
% 0.93/1.32 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'multiplicative_identity' )] )
% 0.93/1.32 , substitution( 1, [ :=( X, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2597, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.93/1.32 , clause( 2594, [ =( X, multiply( 'multiplicative_identity', X ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 10, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.93/1.32 , clause( 2597, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2598, [ =( 'multiplicative_identity', add( X, inverse( X ) ) ) ] )
% 0.93/1.32 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2599, [ =( 'multiplicative_identity', add( inverse( X ), X ) ) ] )
% 0.93/1.32 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.93/1.32 , 0, clause( 2598, [ =( 'multiplicative_identity', add( X, inverse( X ) ) )
% 0.93/1.32 ] )
% 0.93/1.32 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2602, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.93/1.32 , clause( 2599, [ =( 'multiplicative_identity', add( inverse( X ), X ) ) ]
% 0.93/1.32 )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 11, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.93/1.32 , clause( 2602, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ]
% 0.93/1.32 )
% 0.93/1.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2603, [ =( X, add( X, 'additive_identity' ) ) ] )
% 0.93/1.32 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2604, [ =( X, add( 'additive_identity', X ) ) ] )
% 0.93/1.32 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.93/1.32 , 0, clause( 2603, [ =( X, add( X, 'additive_identity' ) ) ] )
% 0.93/1.32 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2607, [ =( add( 'additive_identity', X ), X ) ] )
% 0.93/1.32 , clause( 2604, [ =( X, add( 'additive_identity', X ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 12, [ =( add( 'additive_identity', X ), X ) ] )
% 0.93/1.32 , clause( 2607, [ =( add( 'additive_identity', X ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2608, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.93/1.32 X, Z ) ) ) ] )
% 0.93/1.32 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.93/1.32 , Z ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2610, [ =( add( X, multiply( Y, Z ) ), multiply( add( Y, X ), add(
% 0.93/1.32 X, Z ) ) ) ] )
% 0.93/1.32 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.93/1.32 , 0, clause( 2608, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.93/1.32 add( X, Z ) ) ) ] )
% 0.93/1.32 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2618, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply(
% 0.93/1.32 Y, Z ) ) ) ] )
% 0.93/1.32 , clause( 2610, [ =( add( X, multiply( Y, Z ) ), multiply( add( Y, X ), add(
% 0.93/1.32 X, Z ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 15, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply( Y
% 0.93/1.32 , Z ) ) ) ] )
% 0.93/1.32 , clause( 2618, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply(
% 0.93/1.32 Y, Z ) ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.93/1.32 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2626, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.93/1.32 X, Z ) ) ) ] )
% 0.93/1.32 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.93/1.32 , Z ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2628, [ =( add( X, multiply( inverse( X ), Y ) ), multiply(
% 0.93/1.32 'multiplicative_identity', add( X, Y ) ) ) ] )
% 0.93/1.32 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.93/1.32 , 0, clause( 2626, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.93/1.32 add( X, Z ) ) ) ] )
% 0.93/1.32 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.93/1.32 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2630, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.93/1.32 )
% 0.93/1.32 , clause( 10, [ =( multiply( 'multiplicative_identity', X ), X ) ] )
% 0.93/1.32 , 0, clause( 2628, [ =( add( X, multiply( inverse( X ), Y ) ), multiply(
% 0.93/1.32 'multiplicative_identity', add( X, Y ) ) ) ] )
% 0.93/1.32 , 0, 7, substitution( 0, [ :=( X, add( X, Y ) )] ), substitution( 1, [ :=(
% 0.93/1.32 X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 18, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ] )
% 0.93/1.32 , clause( 2630, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.93/1.32 )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2633, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.93/1.32 X, Z ) ) ) ] )
% 0.93/1.32 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.93/1.32 , Z ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2636, [ =( add( X, multiply( Y, inverse( X ) ) ), multiply( add( X
% 0.93/1.32 , Y ), 'multiplicative_identity' ) ) ] )
% 0.93/1.32 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.93/1.32 , 0, clause( 2633, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.93/1.32 add( X, Z ) ) ) ] )
% 0.93/1.32 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.93/1.32 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2637, [ =( add( X, multiply( Y, inverse( X ) ) ), add( X, Y ) ) ]
% 0.93/1.32 )
% 0.93/1.32 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.93/1.32 , 0, clause( 2636, [ =( add( X, multiply( Y, inverse( X ) ) ), multiply(
% 0.93/1.32 add( X, Y ), 'multiplicative_identity' ) ) ] )
% 0.93/1.32 , 0, 7, substitution( 0, [ :=( X, add( X, Y ) )] ), substitution( 1, [ :=(
% 0.93/1.32 X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 19, [ =( add( X, multiply( Y, inverse( X ) ) ), add( X, Y ) ) ] )
% 0.93/1.32 , clause( 2637, [ =( add( X, multiply( Y, inverse( X ) ) ), add( X, Y ) ) ]
% 0.93/1.32 )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2640, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.93/1.32 X, Z ) ) ) ] )
% 0.93/1.32 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.93/1.32 , Z ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2644, [ =( add( inverse( X ), multiply( Y, X ) ), multiply( add(
% 0.93/1.32 inverse( X ), Y ), 'multiplicative_identity' ) ) ] )
% 0.93/1.32 , clause( 11, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.93/1.32 , 0, clause( 2640, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.93/1.32 add( X, Z ) ) ) ] )
% 0.93/1.32 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.93/1.32 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2645, [ =( add( inverse( X ), multiply( Y, X ) ), add( inverse( X )
% 0.93/1.32 , Y ) ) ] )
% 0.93/1.32 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.93/1.32 , 0, clause( 2644, [ =( add( inverse( X ), multiply( Y, X ) ), multiply(
% 0.93/1.32 add( inverse( X ), Y ), 'multiplicative_identity' ) ) ] )
% 0.93/1.32 , 0, 7, substitution( 0, [ :=( X, add( inverse( X ), Y ) )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 23, [ =( add( inverse( X ), multiply( Y, X ) ), add( inverse( X ),
% 0.93/1.32 Y ) ) ] )
% 0.93/1.32 , clause( 2645, [ =( add( inverse( X ), multiply( Y, X ) ), add( inverse( X
% 0.93/1.32 ), Y ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2648, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.93/1.32 multiply( X, Z ) ) ) ] )
% 0.93/1.32 , clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.93/1.32 add( Y, Z ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2650, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.93/1.32 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.93/1.32 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.93/1.32 , 0, clause( 2648, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.93/1.32 multiply( X, Z ) ) ) ] )
% 0.93/1.32 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.93/1.32 :=( Y, inverse( X ) ), :=( Z, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2652, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.93/1.32 ) ] )
% 0.93/1.32 , clause( 12, [ =( add( 'additive_identity', X ), X ) ] )
% 0.93/1.32 , 0, clause( 2650, [ =( multiply( X, add( inverse( X ), Y ) ), add(
% 0.93/1.32 'additive_identity', multiply( X, Y ) ) ) ] )
% 0.93/1.32 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 34, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y ) )
% 0.93/1.32 ] )
% 0.93/1.32 , clause( 2652, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y
% 0.93/1.32 ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2655, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.93/1.32 multiply( X, Z ) ) ) ] )
% 0.93/1.32 , clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.93/1.32 add( Y, Z ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2658, [ =( multiply( X, add( Y, inverse( X ) ) ), add( multiply( X
% 0.93/1.32 , Y ), 'additive_identity' ) ) ] )
% 0.93/1.32 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.93/1.32 , 0, clause( 2655, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.93/1.32 multiply( X, Z ) ) ) ] )
% 0.93/1.32 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.93/1.32 :=( Y, Y ), :=( Z, inverse( X ) )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2659, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y )
% 0.93/1.32 ) ] )
% 0.93/1.32 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.93/1.32 , 0, clause( 2658, [ =( multiply( X, add( Y, inverse( X ) ) ), add(
% 0.93/1.32 multiply( X, Y ), 'additive_identity' ) ) ] )
% 0.93/1.32 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 35, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y ) )
% 0.93/1.32 ] )
% 0.93/1.32 , clause( 2659, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y
% 0.93/1.32 ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2662, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) )
% 0.93/1.32 ) ] )
% 0.93/1.32 , clause( 34, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.93/1.32 ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2664, [ =( multiply( X, X ), multiply( X, 'multiplicative_identity'
% 0.93/1.32 ) ) ] )
% 0.93/1.32 , clause( 11, [ =( add( inverse( X ), X ), 'multiplicative_identity' ) ] )
% 0.93/1.32 , 0, clause( 2662, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y
% 0.93/1.32 ) ) ) ] )
% 0.93/1.32 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.93/1.32 :=( Y, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2665, [ =( multiply( X, X ), X ) ] )
% 0.93/1.32 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.93/1.32 , 0, clause( 2664, [ =( multiply( X, X ), multiply( X,
% 0.93/1.32 'multiplicative_identity' ) ) ] )
% 0.93/1.32 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.93/1.32 ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 40, [ =( multiply( X, X ), X ) ] )
% 0.93/1.32 , clause( 2665, [ =( multiply( X, X ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2668, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) )
% 0.93/1.32 ) ] )
% 0.93/1.32 , clause( 34, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.93/1.32 ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2670, [ =( multiply( X, inverse( inverse( X ) ) ), multiply( X,
% 0.93/1.32 'multiplicative_identity' ) ) ] )
% 0.93/1.32 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.93/1.32 , 0, clause( 2668, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y
% 0.93/1.32 ) ) ) ] )
% 0.93/1.32 , 0, 8, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2671, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.93/1.32 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.93/1.32 , 0, clause( 2670, [ =( multiply( X, inverse( inverse( X ) ) ), multiply( X
% 0.93/1.32 , 'multiplicative_identity' ) ) ] )
% 0.93/1.32 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.93/1.32 ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 43, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.93/1.32 , clause( 2671, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2674, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) )
% 0.93/1.32 ) ] )
% 0.93/1.32 , clause( 34, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.93/1.32 ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2676, [ =( multiply( X, 'additive_identity' ), multiply( X, inverse(
% 0.93/1.32 X ) ) ) ] )
% 0.93/1.32 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.93/1.32 , 0, clause( 2674, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y
% 0.93/1.32 ) ) ) ] )
% 0.93/1.32 , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, 'additive_identity' )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2677, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.93/1.32 ) ] )
% 0.93/1.32 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.93/1.32 , 0, clause( 2676, [ =( multiply( X, 'additive_identity' ), multiply( X,
% 0.93/1.32 inverse( X ) ) ) ] )
% 0.93/1.32 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.93/1.32 ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 44, [ =( multiply( X, 'additive_identity' ), 'additive_identity' )
% 0.93/1.32 ] )
% 0.93/1.32 , clause( 2677, [ =( multiply( X, 'additive_identity' ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2680, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.93/1.32 multiply( X, Z ) ) ) ] )
% 0.93/1.32 , clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.93/1.32 add( Y, Z ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2682, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) )
% 0.93/1.32 ] )
% 0.93/1.32 , clause( 40, [ =( multiply( X, X ), X ) ] )
% 0.93/1.32 , 0, clause( 2680, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.93/1.32 multiply( X, Z ) ) ) ] )
% 0.93/1.32 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.93/1.32 :=( Y, X ), :=( Z, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 45, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) ) ]
% 0.93/1.32 )
% 0.93/1.32 , clause( 2682, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) )
% 0.93/1.32 ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2687, [ =( 'additive_identity', multiply( X, 'additive_identity' )
% 0.93/1.32 ) ] )
% 0.93/1.32 , clause( 44, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.93/1.32 ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2688, [ =( 'additive_identity', multiply( 'additive_identity', X )
% 0.93/1.32 ) ] )
% 0.93/1.32 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.93/1.32 , 0, clause( 2687, [ =( 'additive_identity', multiply( X,
% 0.93/1.32 'additive_identity' ) ) ] )
% 0.93/1.32 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'additive_identity' )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2691, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 0.93/1.32 ) ] )
% 0.93/1.32 , clause( 2688, [ =( 'additive_identity', multiply( 'additive_identity', X
% 0.93/1.32 ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 47, [ =( multiply( 'additive_identity', X ), 'additive_identity' )
% 0.93/1.32 ] )
% 0.93/1.32 , clause( 2691, [ =( multiply( 'additive_identity', X ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2693, [ =( add( Y, multiply( X, Z ) ), multiply( add( X, Y ), add(
% 0.93/1.32 Y, Z ) ) ) ] )
% 0.93/1.32 , clause( 15, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply(
% 0.93/1.32 Y, Z ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2698, [ =( add( X, multiply( 'additive_identity', Y ) ), multiply(
% 0.93/1.32 X, add( X, Y ) ) ) ] )
% 0.93/1.32 , clause( 12, [ =( add( 'additive_identity', X ), X ) ] )
% 0.93/1.32 , 0, clause( 2693, [ =( add( Y, multiply( X, Z ) ), multiply( add( X, Y ),
% 0.93/1.32 add( Y, Z ) ) ) ] )
% 0.93/1.32 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.93/1.32 'additive_identity' ), :=( Y, X ), :=( Z, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2701, [ =( add( X, multiply( 'additive_identity', Y ) ), add( X,
% 0.93/1.32 multiply( X, Y ) ) ) ] )
% 0.93/1.32 , clause( 45, [ =( multiply( X, add( X, Y ) ), add( X, multiply( X, Y ) ) )
% 0.93/1.32 ] )
% 0.93/1.32 , 0, clause( 2698, [ =( add( X, multiply( 'additive_identity', Y ) ),
% 0.93/1.32 multiply( X, add( X, Y ) ) ) ] )
% 0.93/1.32 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2702, [ =( add( X, 'additive_identity' ), add( X, multiply( X, Y )
% 0.93/1.32 ) ) ] )
% 0.93/1.32 , clause( 47, [ =( multiply( 'additive_identity', X ), 'additive_identity'
% 0.93/1.32 ) ] )
% 0.93/1.32 , 0, clause( 2701, [ =( add( X, multiply( 'additive_identity', Y ) ), add(
% 0.93/1.32 X, multiply( X, Y ) ) ) ] )
% 0.93/1.32 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.93/1.32 :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2703, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.93/1.32 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.93/1.32 , 0, clause( 2702, [ =( add( X, 'additive_identity' ), add( X, multiply( X
% 0.93/1.32 , Y ) ) ) ] )
% 0.93/1.32 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.93/1.32 :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2704, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.93/1.32 , clause( 2703, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 48, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.93/1.32 , clause( 2704, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2706, [ =( add( Y, multiply( X, Z ) ), multiply( add( X, Y ), add(
% 0.93/1.32 Y, Z ) ) ) ] )
% 0.93/1.32 , clause( 15, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply(
% 0.93/1.32 Y, Z ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2710, [ =( add( X, multiply( Y, 'additive_identity' ) ), multiply(
% 0.93/1.32 add( Y, X ), X ) ) ] )
% 0.93/1.32 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.93/1.32 , 0, clause( 2706, [ =( add( Y, multiply( X, Z ) ), multiply( add( X, Y ),
% 0.93/1.32 add( Y, Z ) ) ) ] )
% 0.93/1.32 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.93/1.32 :=( Y, X ), :=( Z, 'additive_identity' )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2711, [ =( add( X, 'additive_identity' ), multiply( add( Y, X ), X
% 0.93/1.32 ) ) ] )
% 0.93/1.32 , clause( 44, [ =( multiply( X, 'additive_identity' ), 'additive_identity'
% 0.93/1.32 ) ] )
% 0.93/1.32 , 0, clause( 2710, [ =( add( X, multiply( Y, 'additive_identity' ) ),
% 0.93/1.32 multiply( add( Y, X ), X ) ) ] )
% 0.93/1.32 , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.93/1.32 :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2712, [ =( X, multiply( add( Y, X ), X ) ) ] )
% 0.93/1.32 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.93/1.32 , 0, clause( 2711, [ =( add( X, 'additive_identity' ), multiply( add( Y, X
% 0.93/1.32 ), X ) ) ] )
% 0.93/1.32 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.93/1.32 :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2713, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.93/1.32 , clause( 2712, [ =( X, multiply( add( Y, X ), X ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 50, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.93/1.32 , clause( 2713, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2715, [ =( add( Y, multiply( X, Z ) ), multiply( add( X, Y ), add(
% 0.93/1.32 Y, Z ) ) ) ] )
% 0.93/1.32 , clause( 15, [ =( multiply( add( Y, X ), add( X, Z ) ), add( X, multiply(
% 0.93/1.32 Y, Z ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2720, [ =( add( X, multiply( Y, multiply( X, Z ) ) ), multiply( add(
% 0.93/1.32 Y, X ), X ) ) ] )
% 0.93/1.32 , clause( 48, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.93/1.32 , 0, clause( 2715, [ =( add( Y, multiply( X, Z ) ), multiply( add( X, Y ),
% 0.93/1.32 add( Y, Z ) ) ) ] )
% 0.93/1.32 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.93/1.32 :=( X, Y ), :=( Y, X ), :=( Z, multiply( X, Z ) )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2721, [ =( add( X, multiply( Y, multiply( X, Z ) ) ), X ) ] )
% 0.93/1.32 , clause( 50, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.93/1.32 , 0, clause( 2720, [ =( add( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.93/1.32 add( Y, X ), X ) ) ] )
% 0.93/1.32 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 52, [ =( add( X, multiply( Z, multiply( X, Y ) ) ), X ) ] )
% 0.93/1.32 , clause( 2721, [ =( add( X, multiply( Y, multiply( X, Z ) ) ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.93/1.32 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2724, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ), add(
% 0.93/1.32 X, Z ) ) ) ] )
% 0.93/1.32 , clause( 2, [ =( multiply( add( X, Y ), add( X, Z ) ), add( X, multiply( Y
% 0.93/1.32 , Z ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2729, [ =( add( X, multiply( Y, multiply( X, Z ) ) ), multiply( add(
% 0.93/1.32 X, Y ), X ) ) ] )
% 0.93/1.32 , clause( 48, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.93/1.32 , 0, clause( 2724, [ =( add( X, multiply( Y, Z ) ), multiply( add( X, Y ),
% 0.93/1.32 add( X, Z ) ) ) ] )
% 0.93/1.32 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Z ) )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2730, [ =( X, multiply( add( X, Y ), X ) ) ] )
% 0.93/1.32 , clause( 52, [ =( add( X, multiply( Z, multiply( X, Y ) ) ), X ) ] )
% 0.93/1.32 , 0, clause( 2729, [ =( add( X, multiply( Y, multiply( X, Z ) ) ), multiply(
% 0.93/1.32 add( X, Y ), X ) ) ] )
% 0.93/1.32 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2731, [ =( multiply( add( X, Y ), X ), X ) ] )
% 0.93/1.32 , clause( 2730, [ =( X, multiply( add( X, Y ), X ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 57, [ =( multiply( add( X, Z ), X ), X ) ] )
% 0.93/1.32 , clause( 2731, [ =( multiply( add( X, Y ), X ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2732, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.93/1.32 , clause( 48, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2733, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.93/1.32 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.93/1.32 , 0, clause( 2732, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.93/1.32 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, multiply( X, Y ) )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2736, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.93/1.32 , clause( 2733, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 60, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.93/1.32 , clause( 2736, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2737, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.93/1.32 , clause( 48, [ =( add( X, multiply( X, Y ) ), X ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2738, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.93/1.32 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.93/1.32 , 0, clause( 2737, [ =( X, add( X, multiply( X, Y ) ) ) ] )
% 0.93/1.32 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2741, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.93/1.32 , clause( 2738, [ =( X, add( X, multiply( Y, X ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 61, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.93/1.32 , clause( 2741, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2742, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.93/1.32 , clause( 60, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2743, [ =( X, add( multiply( Y, X ), X ) ) ] )
% 0.93/1.32 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.93/1.32 , 0, clause( 2742, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.93/1.32 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2746, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.93/1.32 , clause( 2743, [ =( X, add( multiply( Y, X ), X ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 75, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.93/1.32 , clause( 2746, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2748, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) )
% 0.93/1.32 ) ] )
% 0.93/1.32 , clause( 34, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.93/1.32 ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2751, [ =( multiply( X, multiply( Y, inverse( X ) ) ), multiply( X
% 0.93/1.32 , inverse( X ) ) ) ] )
% 0.93/1.32 , clause( 61, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.93/1.32 , 0, clause( 2748, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y
% 0.93/1.32 ) ) ) ] )
% 0.93/1.32 , 0, 9, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, inverse( X ) ) )] )
% 0.93/1.32 ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2752, [ =( multiply( X, multiply( Y, inverse( X ) ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.93/1.32 , 0, clause( 2751, [ =( multiply( X, multiply( Y, inverse( X ) ) ),
% 0.93/1.32 multiply( X, inverse( X ) ) ) ] )
% 0.93/1.32 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.93/1.32 :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 88, [ =( multiply( X, multiply( Y, inverse( X ) ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , clause( 2752, [ =( multiply( X, multiply( Y, inverse( X ) ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2755, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.93/1.32 , clause( 60, [ =( add( multiply( X, Y ), X ), X ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2758, [ =( add( X, Y ), add( Y, add( X, Y ) ) ) ] )
% 0.93/1.32 , clause( 50, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.93/1.32 , 0, clause( 2755, [ =( X, add( multiply( X, Y ), X ) ) ] )
% 0.93/1.32 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.93/1.32 :=( X, add( X, Y ) ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2759, [ =( add( Y, add( X, Y ) ), add( X, Y ) ) ] )
% 0.93/1.32 , clause( 2758, [ =( add( X, Y ), add( Y, add( X, Y ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 99, [ =( add( Y, add( X, Y ) ), add( X, Y ) ) ] )
% 0.93/1.32 , clause( 2759, [ =( add( Y, add( X, Y ) ), add( X, Y ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2761, [ =( Y, add( multiply( X, Y ), Y ) ) ] )
% 0.93/1.32 , clause( 75, [ =( add( multiply( Y, X ), X ), X ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2762, [ =( inverse( inverse( X ) ), add( X, inverse( inverse( X ) )
% 0.93/1.32 ) ) ] )
% 0.93/1.32 , clause( 43, [ =( multiply( X, inverse( inverse( X ) ) ), X ) ] )
% 0.93/1.32 , 0, clause( 2761, [ =( Y, add( multiply( X, Y ), Y ) ) ] )
% 0.93/1.32 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.93/1.32 :=( Y, inverse( inverse( X ) ) )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2763, [ =( add( X, inverse( inverse( X ) ) ), inverse( inverse( X )
% 0.93/1.32 ) ) ] )
% 0.93/1.32 , clause( 2762, [ =( inverse( inverse( X ) ), add( X, inverse( inverse( X )
% 0.93/1.32 ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 106, [ =( add( X, inverse( inverse( X ) ) ), inverse( inverse( X )
% 0.93/1.32 ) ) ] )
% 0.93/1.32 , clause( 2763, [ =( add( X, inverse( inverse( X ) ) ), inverse( inverse( X
% 0.93/1.32 ) ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2765, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.93/1.32 multiply( X, Z ) ) ) ] )
% 0.93/1.32 , clause( 3, [ =( add( multiply( X, Y ), multiply( X, Z ) ), multiply( X,
% 0.93/1.32 add( Y, Z ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2767, [ =( multiply( X, add( multiply( Y, inverse( X ) ), Z ) ),
% 0.93/1.32 add( 'additive_identity', multiply( X, Z ) ) ) ] )
% 0.93/1.32 , clause( 88, [ =( multiply( X, multiply( Y, inverse( X ) ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , 0, clause( 2765, [ =( multiply( X, add( Y, Z ) ), add( multiply( X, Y ),
% 0.93/1.32 multiply( X, Z ) ) ) ] )
% 0.93/1.32 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, multiply( Y, inverse( X ) ) ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2769, [ =( multiply( X, add( multiply( Y, inverse( X ) ), Z ) ),
% 0.93/1.32 multiply( X, Z ) ) ] )
% 0.93/1.32 , clause( 12, [ =( add( 'additive_identity', X ), X ) ] )
% 0.93/1.32 , 0, clause( 2767, [ =( multiply( X, add( multiply( Y, inverse( X ) ), Z )
% 0.93/1.32 ), add( 'additive_identity', multiply( X, Z ) ) ) ] )
% 0.93/1.32 , 0, 9, substitution( 0, [ :=( X, multiply( X, Z ) )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 113, [ =( multiply( X, add( multiply( Y, inverse( X ) ), Z ) ),
% 0.93/1.32 multiply( X, Z ) ) ] )
% 0.93/1.32 , clause( 2769, [ =( multiply( X, add( multiply( Y, inverse( X ) ), Z ) ),
% 0.93/1.32 multiply( X, Z ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.93/1.32 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2772, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) ) ) ]
% 0.93/1.32 )
% 0.93/1.32 , clause( 18, [ =( add( X, multiply( inverse( X ), Y ) ), add( X, Y ) ) ]
% 0.93/1.32 )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2775, [ =( add( X, inverse( inverse( X ) ) ), add( X,
% 0.93/1.32 'additive_identity' ) ) ] )
% 0.93/1.32 , clause( 7, [ =( multiply( X, inverse( X ) ), 'additive_identity' ) ] )
% 0.93/1.32 , 0, clause( 2772, [ =( add( X, Y ), add( X, multiply( inverse( X ), Y ) )
% 0.93/1.32 ) ] )
% 0.93/1.32 , 0, 8, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2776, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.93/1.32 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.93/1.32 , 0, clause( 2775, [ =( add( X, inverse( inverse( X ) ) ), add( X,
% 0.93/1.32 'additive_identity' ) ) ] )
% 0.93/1.32 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.93/1.32 ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2777, [ =( inverse( inverse( X ) ), X ) ] )
% 0.93/1.32 , clause( 106, [ =( add( X, inverse( inverse( X ) ) ), inverse( inverse( X
% 0.93/1.32 ) ) ) ] )
% 0.93/1.32 , 0, clause( 2776, [ =( add( X, inverse( inverse( X ) ) ), X ) ] )
% 0.93/1.32 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.93/1.32 ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 124, [ =( inverse( inverse( X ) ), X ) ] )
% 0.93/1.32 , clause( 2777, [ =( inverse( inverse( X ) ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2780, [ =( 'additive_identity', multiply( X, multiply( Y, inverse(
% 0.93/1.32 X ) ) ) ) ] )
% 0.93/1.32 , clause( 88, [ =( multiply( X, multiply( Y, inverse( X ) ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2781, [ =( 'additive_identity', multiply( inverse( X ), multiply( Y
% 0.93/1.32 , X ) ) ) ] )
% 0.93/1.32 , clause( 124, [ =( inverse( inverse( X ) ), X ) ] )
% 0.93/1.32 , 0, clause( 2780, [ =( 'additive_identity', multiply( X, multiply( Y,
% 0.93/1.32 inverse( X ) ) ) ) ] )
% 0.93/1.32 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.93/1.32 X ) ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2782, [ =( multiply( inverse( X ), multiply( Y, X ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , clause( 2781, [ =( 'additive_identity', multiply( inverse( X ), multiply(
% 0.93/1.32 Y, X ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 125, [ =( multiply( inverse( X ), multiply( Y, X ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , clause( 2782, [ =( multiply( inverse( X ), multiply( Y, X ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2783, [ =( 'additive_identity', multiply( inverse( X ), multiply( Y
% 0.93/1.32 , X ) ) ) ] )
% 0.93/1.32 , clause( 125, [ =( multiply( inverse( X ), multiply( Y, X ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2785, [ =( 'additive_identity', multiply( inverse( X ), multiply( X
% 0.93/1.32 , Y ) ) ) ] )
% 0.93/1.32 , clause( 1, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.93/1.32 , 0, clause( 2783, [ =( 'additive_identity', multiply( inverse( X ),
% 0.93/1.32 multiply( Y, X ) ) ) ] )
% 0.93/1.32 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2791, [ =( multiply( inverse( X ), multiply( X, Y ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , clause( 2785, [ =( 'additive_identity', multiply( inverse( X ), multiply(
% 0.93/1.32 X, Y ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 133, [ =( multiply( inverse( Y ), multiply( Y, X ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , clause( 2791, [ =( multiply( inverse( X ), multiply( X, Y ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2793, [ =( add( X, Y ), add( X, multiply( Y, inverse( X ) ) ) ) ]
% 0.93/1.32 )
% 0.93/1.32 , clause( 19, [ =( add( X, multiply( Y, inverse( X ) ) ), add( X, Y ) ) ]
% 0.93/1.32 )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2796, [ =( add( X, add( Y, inverse( X ) ) ), add( X, inverse( X ) )
% 0.93/1.32 ) ] )
% 0.93/1.32 , clause( 50, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.93/1.32 , 0, clause( 2793, [ =( add( X, Y ), add( X, multiply( Y, inverse( X ) ) )
% 0.93/1.32 ) ] )
% 0.93/1.32 , 0, 9, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X ), :=( Y, add( Y, inverse( X ) ) )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2797, [ =( add( X, add( Y, inverse( X ) ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , clause( 6, [ =( add( X, inverse( X ) ), 'multiplicative_identity' ) ] )
% 0.93/1.32 , 0, clause( 2796, [ =( add( X, add( Y, inverse( X ) ) ), add( X, inverse(
% 0.93/1.32 X ) ) ) ] )
% 0.93/1.32 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.93/1.32 :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 148, [ =( add( Y, add( X, inverse( Y ) ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , clause( 2797, [ =( add( X, add( Y, inverse( X ) ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2800, [ =( 'additive_identity', multiply( inverse( X ), multiply( X
% 0.93/1.32 , Y ) ) ) ] )
% 0.93/1.32 , clause( 133, [ =( multiply( inverse( Y ), multiply( Y, X ) ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2801, [ =( 'additive_identity', multiply( inverse( add( X, Y ) ), X
% 0.93/1.32 ) ) ] )
% 0.93/1.32 , clause( 57, [ =( multiply( add( X, Z ), X ), X ) ] )
% 0.93/1.32 , 0, clause( 2800, [ =( 'additive_identity', multiply( inverse( X ),
% 0.93/1.32 multiply( X, Y ) ) ) ] )
% 0.93/1.32 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.93/1.32 substitution( 1, [ :=( X, add( X, Y ) ), :=( Y, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2802, [ =( multiply( inverse( add( X, Y ) ), X ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , clause( 2801, [ =( 'additive_identity', multiply( inverse( add( X, Y ) )
% 0.93/1.32 , X ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 155, [ =( multiply( inverse( add( X, Y ) ), X ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , clause( 2802, [ =( multiply( inverse( add( X, Y ) ), X ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2804, [ =( add( X, Y ), add( X, multiply( Y, inverse( X ) ) ) ) ]
% 0.93/1.32 )
% 0.93/1.32 , clause( 19, [ =( add( X, multiply( Y, inverse( X ) ) ), add( X, Y ) ) ]
% 0.93/1.32 )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2807, [ =( add( X, inverse( add( inverse( X ), Y ) ) ), add( X,
% 0.93/1.32 'additive_identity' ) ) ] )
% 0.93/1.32 , clause( 155, [ =( multiply( inverse( add( X, Y ) ), X ),
% 0.93/1.32 'additive_identity' ) ] )
% 0.93/1.32 , 0, clause( 2804, [ =( add( X, Y ), add( X, multiply( Y, inverse( X ) ) )
% 0.93/1.32 ) ] )
% 0.93/1.32 , 0, 10, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X ), :=( Y, inverse( add( inverse( X ), Y ) ) )] )
% 0.93/1.32 ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2808, [ =( add( X, inverse( add( inverse( X ), Y ) ) ), X ) ] )
% 0.93/1.32 , clause( 4, [ =( add( X, 'additive_identity' ), X ) ] )
% 0.93/1.32 , 0, clause( 2807, [ =( add( X, inverse( add( inverse( X ), Y ) ) ), add( X
% 0.93/1.32 , 'additive_identity' ) ) ] )
% 0.93/1.32 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.93/1.32 :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 167, [ =( add( X, inverse( add( inverse( X ), Y ) ) ), X ) ] )
% 0.93/1.32 , clause( 2808, [ =( add( X, inverse( add( inverse( X ), Y ) ) ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2811, [ =( 'multiplicative_identity', add( X, add( Y, inverse( X )
% 0.93/1.32 ) ) ) ] )
% 0.93/1.32 , clause( 148, [ =( add( Y, add( X, inverse( Y ) ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2812, [ =( 'multiplicative_identity', add( inverse( X ), add( Y, X
% 0.93/1.32 ) ) ) ] )
% 0.93/1.32 , clause( 124, [ =( inverse( inverse( X ) ), X ) ] )
% 0.93/1.32 , 0, clause( 2811, [ =( 'multiplicative_identity', add( X, add( Y, inverse(
% 0.93/1.32 X ) ) ) ) ] )
% 0.93/1.32 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.93/1.32 X ) ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2813, [ =( add( inverse( X ), add( Y, X ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , clause( 2812, [ =( 'multiplicative_identity', add( inverse( X ), add( Y,
% 0.93/1.32 X ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 171, [ =( add( inverse( X ), add( Y, X ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , clause( 2813, [ =( add( inverse( X ), add( Y, X ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2814, [ =( 'multiplicative_identity', add( inverse( X ), add( Y, X
% 0.93/1.32 ) ) ) ] )
% 0.93/1.32 , clause( 171, [ =( add( inverse( X ), add( Y, X ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2815, [ =( 'multiplicative_identity', add( add( Y, X ), inverse( X
% 0.93/1.32 ) ) ) ] )
% 0.93/1.32 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.93/1.32 , 0, clause( 2814, [ =( 'multiplicative_identity', add( inverse( X ), add(
% 0.93/1.32 Y, X ) ) ) ] )
% 0.93/1.32 , 0, 2, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, add( Y, X ) )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2819, [ =( add( add( X, Y ), inverse( Y ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , clause( 2815, [ =( 'multiplicative_identity', add( add( Y, X ), inverse(
% 0.93/1.32 X ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 187, [ =( add( add( Y, X ), inverse( X ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , clause( 2819, [ =( add( add( X, Y ), inverse( Y ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2824, [ =( 'multiplicative_identity', add( add( X, Y ), inverse( Y
% 0.93/1.32 ) ) ) ] )
% 0.93/1.32 , clause( 187, [ =( add( add( Y, X ), inverse( X ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2825, [ =( 'multiplicative_identity', add( X, inverse( multiply( Y
% 0.93/1.32 , X ) ) ) ) ] )
% 0.93/1.32 , clause( 61, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.93/1.32 , 0, clause( 2824, [ =( 'multiplicative_identity', add( add( X, Y ),
% 0.93/1.32 inverse( Y ) ) ) ] )
% 0.93/1.32 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, multiply( Y, X ) )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2826, [ =( add( X, inverse( multiply( Y, X ) ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , clause( 2825, [ =( 'multiplicative_identity', add( X, inverse( multiply(
% 0.93/1.32 Y, X ) ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 192, [ =( add( X, inverse( multiply( Y, X ) ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , clause( 2826, [ =( add( X, inverse( multiply( Y, X ) ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2828, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y ) )
% 0.93/1.32 ) ] )
% 0.93/1.32 , clause( 34, [ =( multiply( X, add( inverse( X ), Y ) ), multiply( X, Y )
% 0.93/1.32 ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2831, [ =( multiply( X, inverse( multiply( Y, inverse( X ) ) ) ),
% 0.93/1.32 multiply( X, 'multiplicative_identity' ) ) ] )
% 0.93/1.32 , clause( 192, [ =( add( X, inverse( multiply( Y, X ) ) ),
% 0.93/1.32 'multiplicative_identity' ) ] )
% 0.93/1.32 , 0, clause( 2828, [ =( multiply( X, Y ), multiply( X, add( inverse( X ), Y
% 0.93/1.32 ) ) ) ] )
% 0.93/1.32 , 0, 10, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X ), :=( Y, inverse( multiply( Y, inverse( X )
% 0.93/1.32 ) ) )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2832, [ =( multiply( X, inverse( multiply( Y, inverse( X ) ) ) ), X
% 0.93/1.32 ) ] )
% 0.93/1.32 , clause( 5, [ =( multiply( X, 'multiplicative_identity' ), X ) ] )
% 0.93/1.32 , 0, clause( 2831, [ =( multiply( X, inverse( multiply( Y, inverse( X ) ) )
% 0.93/1.32 ), multiply( X, 'multiplicative_identity' ) ) ] )
% 0.93/1.32 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.93/1.32 :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 214, [ =( multiply( X, inverse( multiply( Y, inverse( X ) ) ) ), X
% 0.93/1.32 ) ] )
% 0.93/1.32 , clause( 2832, [ =( multiply( X, inverse( multiply( Y, inverse( X ) ) ) )
% 0.93/1.32 , X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2834, [ =( add( inverse( X ), Y ), add( inverse( X ), multiply( Y,
% 0.93/1.32 X ) ) ) ] )
% 0.93/1.32 , clause( 23, [ =( add( inverse( X ), multiply( Y, X ) ), add( inverse( X )
% 0.93/1.32 , Y ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2836, [ =( add( inverse( X ), Y ), add( multiply( Y, X ), inverse(
% 0.93/1.32 X ) ) ) ] )
% 0.93/1.32 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.93/1.32 , 0, clause( 2834, [ =( add( inverse( X ), Y ), add( inverse( X ), multiply(
% 0.93/1.32 Y, X ) ) ) ] )
% 0.93/1.32 , 0, 5, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, multiply( Y, X ) )] )
% 0.93/1.32 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2842, [ =( add( multiply( Y, X ), inverse( X ) ), add( inverse( X )
% 0.93/1.32 , Y ) ) ] )
% 0.93/1.32 , clause( 2836, [ =( add( inverse( X ), Y ), add( multiply( Y, X ), inverse(
% 0.93/1.32 X ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 251, [ =( add( multiply( Y, X ), inverse( X ) ), add( inverse( X )
% 0.93/1.32 , Y ) ) ] )
% 0.93/1.32 , clause( 2842, [ =( add( multiply( Y, X ), inverse( X ) ), add( inverse( X
% 0.93/1.32 ), Y ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2844, [ =( add( Y, X ), add( X, add( Y, X ) ) ) ] )
% 0.93/1.32 , clause( 99, [ =( add( Y, add( X, Y ) ), add( X, Y ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2848, [ =( add( X, inverse( add( inverse( X ), Y ) ) ), add(
% 0.93/1.32 inverse( add( inverse( X ), Y ) ), X ) ) ] )
% 0.93/1.32 , clause( 167, [ =( add( X, inverse( add( inverse( X ), Y ) ) ), X ) ] )
% 0.93/1.32 , 0, clause( 2844, [ =( add( Y, X ), add( X, add( Y, X ) ) ) ] )
% 0.93/1.32 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.93/1.32 :=( X, inverse( add( inverse( X ), Y ) ) ), :=( Y, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2849, [ =( X, add( inverse( add( inverse( X ), Y ) ), X ) ) ] )
% 0.93/1.32 , clause( 167, [ =( add( X, inverse( add( inverse( X ), Y ) ) ), X ) ] )
% 0.93/1.32 , 0, clause( 2848, [ =( add( X, inverse( add( inverse( X ), Y ) ) ), add(
% 0.93/1.32 inverse( add( inverse( X ), Y ) ), X ) ) ] )
% 0.93/1.32 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2851, [ =( add( inverse( add( inverse( X ), Y ) ), X ), X ) ] )
% 0.93/1.32 , clause( 2849, [ =( X, add( inverse( add( inverse( X ), Y ) ), X ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 577, [ =( add( inverse( add( inverse( X ), Y ) ), X ), X ) ] )
% 0.93/1.32 , clause( 2851, [ =( add( inverse( add( inverse( X ), Y ) ), X ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2854, [ =( Y, multiply( add( X, Y ), Y ) ) ] )
% 0.93/1.32 , clause( 50, [ =( multiply( add( Y, X ), X ), X ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2855, [ =( inverse( add( inverse( X ), Y ) ), multiply( X, inverse(
% 0.93/1.32 add( inverse( X ), Y ) ) ) ) ] )
% 0.93/1.32 , clause( 167, [ =( add( X, inverse( add( inverse( X ), Y ) ) ), X ) ] )
% 0.93/1.32 , 0, clause( 2854, [ =( Y, multiply( add( X, Y ), Y ) ) ] )
% 0.93/1.32 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, inverse( add( inverse( X ), Y ) ) )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2856, [ =( multiply( X, inverse( add( inverse( X ), Y ) ) ),
% 0.93/1.32 inverse( add( inverse( X ), Y ) ) ) ] )
% 0.93/1.32 , clause( 2855, [ =( inverse( add( inverse( X ), Y ) ), multiply( X,
% 0.93/1.32 inverse( add( inverse( X ), Y ) ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 578, [ =( multiply( X, inverse( add( inverse( X ), Y ) ) ), inverse(
% 0.93/1.32 add( inverse( X ), Y ) ) ) ] )
% 0.93/1.32 , clause( 2856, [ =( multiply( X, inverse( add( inverse( X ), Y ) ) ),
% 0.93/1.32 inverse( add( inverse( X ), Y ) ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2858, [ =( X, add( inverse( add( inverse( X ), Y ) ), X ) ) ] )
% 0.93/1.32 , clause( 577, [ =( add( inverse( add( inverse( X ), Y ) ), X ), X ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2865, [ =( X, add( inverse( add( Y, inverse( X ) ) ), X ) ) ] )
% 0.93/1.32 , clause( 99, [ =( add( Y, add( X, Y ) ), add( X, Y ) ) ] )
% 0.93/1.32 , 0, clause( 2858, [ =( X, add( inverse( add( inverse( X ), Y ) ), X ) ) ]
% 0.93/1.32 )
% 0.93/1.32 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X ), :=( Y, add( Y, inverse( X ) ) )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2866, [ =( add( inverse( add( Y, inverse( X ) ) ), X ), X ) ] )
% 0.93/1.32 , clause( 2865, [ =( X, add( inverse( add( Y, inverse( X ) ) ), X ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 580, [ =( add( inverse( add( Y, inverse( X ) ) ), X ), X ) ] )
% 0.93/1.32 , clause( 2866, [ =( add( inverse( add( Y, inverse( X ) ) ), X ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2868, [ =( add( inverse( Y ), X ), add( multiply( X, Y ), inverse(
% 0.93/1.32 Y ) ) ) ] )
% 0.93/1.32 , clause( 251, [ =( add( multiply( Y, X ), inverse( X ) ), add( inverse( X
% 0.93/1.32 ), Y ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2871, [ =( add( inverse( add( X, inverse( Y ) ) ), Y ), add(
% 0.93/1.32 multiply( Y, X ), inverse( add( X, inverse( Y ) ) ) ) ) ] )
% 0.93/1.32 , clause( 35, [ =( multiply( X, add( Y, inverse( X ) ) ), multiply( X, Y )
% 0.93/1.32 ) ] )
% 0.93/1.32 , 0, clause( 2868, [ =( add( inverse( Y ), X ), add( multiply( X, Y ),
% 0.93/1.32 inverse( Y ) ) ) ] )
% 0.93/1.32 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.93/1.32 :=( X, Y ), :=( Y, add( X, inverse( Y ) ) )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2872, [ =( Y, add( multiply( Y, X ), inverse( add( X, inverse( Y )
% 0.93/1.32 ) ) ) ) ] )
% 0.93/1.32 , clause( 580, [ =( add( inverse( add( Y, inverse( X ) ) ), X ), X ) ] )
% 0.93/1.32 , 0, clause( 2871, [ =( add( inverse( add( X, inverse( Y ) ) ), Y ), add(
% 0.93/1.32 multiply( Y, X ), inverse( add( X, inverse( Y ) ) ) ) ) ] )
% 0.93/1.32 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.93/1.32 :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2873, [ =( add( multiply( X, Y ), inverse( add( Y, inverse( X ) ) )
% 0.93/1.32 ), X ) ] )
% 0.93/1.32 , clause( 2872, [ =( Y, add( multiply( Y, X ), inverse( add( X, inverse( Y
% 0.93/1.32 ) ) ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 1919, [ =( add( multiply( X, Y ), inverse( add( Y, inverse( X ) ) )
% 0.93/1.32 ), X ) ] )
% 0.93/1.32 , clause( 2873, [ =( add( multiply( X, Y ), inverse( add( Y, inverse( X ) )
% 0.93/1.32 ) ), X ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2875, [ =( multiply( X, Z ), multiply( X, add( multiply( Y, inverse(
% 0.93/1.32 X ) ), Z ) ) ) ] )
% 0.93/1.32 , clause( 113, [ =( multiply( X, add( multiply( Y, inverse( X ) ), Z ) ),
% 0.93/1.32 multiply( X, Z ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2878, [ =( multiply( X, inverse( add( inverse( X ), inverse( Y ) )
% 0.93/1.32 ) ), multiply( X, Y ) ) ] )
% 0.93/1.32 , clause( 1919, [ =( add( multiply( X, Y ), inverse( add( Y, inverse( X ) )
% 0.93/1.32 ) ), X ) ] )
% 0.93/1.32 , 0, clause( 2875, [ =( multiply( X, Z ), multiply( X, add( multiply( Y,
% 0.93/1.32 inverse( X ) ), Z ) ) ) ] )
% 0.93/1.32 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, inverse( X ) )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( add( inverse(
% 0.93/1.32 X ), inverse( Y ) ) ) )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2879, [ =( inverse( add( inverse( X ), inverse( Y ) ) ), multiply(
% 0.93/1.32 X, Y ) ) ] )
% 0.93/1.32 , clause( 578, [ =( multiply( X, inverse( add( inverse( X ), Y ) ) ),
% 0.93/1.32 inverse( add( inverse( X ), Y ) ) ) ] )
% 0.93/1.32 , 0, clause( 2878, [ =( multiply( X, inverse( add( inverse( X ), inverse( Y
% 0.93/1.32 ) ) ) ), multiply( X, Y ) ) ] )
% 0.93/1.32 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, inverse( Y ) )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 2512, [ =( inverse( add( inverse( Y ), inverse( X ) ) ), multiply(
% 0.93/1.32 Y, X ) ) ] )
% 0.93/1.32 , clause( 2879, [ =( inverse( add( inverse( X ), inverse( Y ) ) ), multiply(
% 0.93/1.32 X, Y ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2881, [ =( multiply( X, Y ), inverse( add( inverse( X ), inverse( Y
% 0.93/1.32 ) ) ) ) ] )
% 0.93/1.32 , clause( 2512, [ =( inverse( add( inverse( Y ), inverse( X ) ) ), multiply(
% 0.93/1.32 Y, X ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2884, [ =( multiply( add( inverse( X ), inverse( Y ) ), Z ),
% 0.93/1.32 inverse( add( multiply( X, Y ), inverse( Z ) ) ) ) ] )
% 0.93/1.32 , clause( 2512, [ =( inverse( add( inverse( Y ), inverse( X ) ) ), multiply(
% 0.93/1.32 Y, X ) ) ] )
% 0.93/1.32 , 0, clause( 2881, [ =( multiply( X, Y ), inverse( add( inverse( X ),
% 0.93/1.32 inverse( Y ) ) ) ) ] )
% 0.93/1.32 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.93/1.32 :=( X, add( inverse( X ), inverse( Y ) ) ), :=( Y, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 2545, [ =( multiply( add( inverse( X ), inverse( Y ) ), Z ),
% 0.93/1.32 inverse( add( multiply( X, Y ), inverse( Z ) ) ) ) ] )
% 0.93/1.32 , clause( 2884, [ =( multiply( add( inverse( X ), inverse( Y ) ), Z ),
% 0.93/1.32 inverse( add( multiply( X, Y ), inverse( Z ) ) ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.93/1.32 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2889, [ =( X, multiply( X, inverse( multiply( Y, inverse( X ) ) ) )
% 0.93/1.32 ) ] )
% 0.93/1.32 , clause( 214, [ =( multiply( X, inverse( multiply( Y, inverse( X ) ) ) ),
% 0.93/1.32 X ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2894, [ =( add( inverse( X ), inverse( Y ) ), multiply( add(
% 0.93/1.32 inverse( X ), inverse( Y ) ), inverse( multiply( Z, multiply( X, Y ) ) )
% 0.93/1.32 ) ) ] )
% 0.93/1.32 , clause( 2512, [ =( inverse( add( inverse( Y ), inverse( X ) ) ), multiply(
% 0.93/1.32 Y, X ) ) ] )
% 0.93/1.32 , 0, clause( 2889, [ =( X, multiply( X, inverse( multiply( Y, inverse( X )
% 0.93/1.32 ) ) ) ) ] )
% 0.93/1.32 , 0, 15, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.93/1.32 :=( X, add( inverse( X ), inverse( Y ) ) ), :=( Y, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2895, [ =( add( inverse( X ), inverse( Y ) ), inverse( add(
% 0.93/1.32 multiply( X, Y ), inverse( inverse( multiply( Z, multiply( X, Y ) ) ) ) )
% 0.93/1.32 ) ) ] )
% 0.93/1.32 , clause( 2545, [ =( multiply( add( inverse( X ), inverse( Y ) ), Z ),
% 0.93/1.32 inverse( add( multiply( X, Y ), inverse( Z ) ) ) ) ] )
% 0.93/1.32 , 0, clause( 2894, [ =( add( inverse( X ), inverse( Y ) ), multiply( add(
% 0.93/1.32 inverse( X ), inverse( Y ) ), inverse( multiply( Z, multiply( X, Y ) ) )
% 0.93/1.32 ) ) ] )
% 0.93/1.32 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply(
% 0.93/1.32 Z, multiply( X, Y ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.93/1.32 :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2896, [ =( add( inverse( X ), inverse( Y ) ), inverse( add(
% 0.93/1.32 multiply( X, Y ), multiply( Z, multiply( X, Y ) ) ) ) ) ] )
% 0.93/1.32 , clause( 124, [ =( inverse( inverse( X ) ), X ) ] )
% 0.93/1.32 , 0, clause( 2895, [ =( add( inverse( X ), inverse( Y ) ), inverse( add(
% 0.93/1.32 multiply( X, Y ), inverse( inverse( multiply( Z, multiply( X, Y ) ) ) ) )
% 0.93/1.32 ) ) ] )
% 0.93/1.32 , 0, 11, substitution( 0, [ :=( X, multiply( Z, multiply( X, Y ) ) )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 paramod(
% 0.93/1.32 clause( 2897, [ =( add( inverse( X ), inverse( Y ) ), inverse( multiply( X
% 0.93/1.32 , Y ) ) ) ] )
% 0.93/1.32 , clause( 61, [ =( add( X, multiply( Y, X ) ), X ) ] )
% 0.93/1.32 , 0, clause( 2896, [ =( add( inverse( X ), inverse( Y ) ), inverse( add(
% 0.93/1.32 multiply( X, Y ), multiply( Z, multiply( X, Y ) ) ) ) ) ] )
% 0.93/1.32 , 0, 7, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, Z )] ),
% 0.93/1.32 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 2551, [ =( add( inverse( X ), inverse( Y ) ), inverse( multiply( X
% 0.93/1.32 , Y ) ) ) ] )
% 0.93/1.32 , clause( 2897, [ =( add( inverse( X ), inverse( Y ) ), inverse( multiply(
% 0.93/1.32 X, Y ) ) ) ] )
% 0.93/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.93/1.32 )] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2899, [ =( inverse( multiply( X, Y ) ), add( inverse( X ), inverse(
% 0.93/1.32 Y ) ) ) ] )
% 0.93/1.32 , clause( 2551, [ =( add( inverse( X ), inverse( Y ) ), inverse( multiply(
% 0.93/1.32 X, Y ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 eqswap(
% 0.93/1.32 clause( 2900, [ ~( =( inverse( multiply( a, b ) ), add( inverse( a ),
% 0.93/1.32 inverse( b ) ) ) ) ] )
% 0.93/1.32 , clause( 8, [ ~( =( add( inverse( a ), inverse( b ) ), inverse( multiply(
% 0.93/1.32 a, b ) ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [] )).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 resolution(
% 0.93/1.32 clause( 2901, [] )
% 0.93/1.32 , clause( 2900, [ ~( =( inverse( multiply( a, b ) ), add( inverse( a ),
% 0.93/1.32 inverse( b ) ) ) ) ] )
% 0.93/1.32 , 0, clause( 2899, [ =( inverse( multiply( X, Y ) ), add( inverse( X ),
% 0.93/1.32 inverse( Y ) ) ) ] )
% 0.93/1.32 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.93/1.32 ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 subsumption(
% 0.93/1.32 clause( 2554, [] )
% 0.93/1.32 , clause( 2901, [] )
% 0.93/1.32 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 end.
% 0.93/1.32
% 0.93/1.32 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.93/1.32
% 0.93/1.32 Memory use:
% 0.93/1.32
% 0.93/1.32 space for terms: 33773
% 0.93/1.32 space for clauses: 263490
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 clauses generated: 63526
% 0.93/1.32 clauses kept: 2555
% 0.93/1.32 clauses selected: 277
% 0.93/1.32 clauses deleted: 111
% 0.93/1.32 clauses inuse deleted: 20
% 0.93/1.32
% 0.93/1.32 subsentry: 6079
% 0.93/1.32 literals s-matched: 5277
% 0.93/1.32 literals matched: 5172
% 0.93/1.32 full subsumption: 0
% 0.93/1.32
% 0.93/1.32 checksum: 2013286238
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 Bliksem ended
%------------------------------------------------------------------------------