TSTP Solution File: GRP578-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP578-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:37:43 EDT 2022
% Result : Unsatisfiable 0.69s 1.05s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP578-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n008.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 : Mon Jun 13 23:58:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.69/1.05 *** allocated 10000 integers for termspace/termends
% 0.69/1.05 *** allocated 10000 integers for clauses
% 0.69/1.05 *** allocated 10000 integers for justifications
% 0.69/1.05 Bliksem 1.12
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 Automatic Strategy Selection
% 0.69/1.05
% 0.69/1.05 Clauses:
% 0.69/1.05 [
% 0.69/1.05 [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.05 'double_divide'( 'double_divide'( Y, X ), Z ), 'double_divide'( Y,
% 0.69/1.05 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ],
% 0.69/1.05 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.69/1.05 identity ) ) ],
% 0.69/1.05 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.69/1.05 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.69/1.05 [ ~( =( multiply( identity, a2 ), a2 ) ) ]
% 0.69/1.05 ] .
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 percentage equality = 1.000000, percentage horn = 1.000000
% 0.69/1.05 This is a pure equality problem
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 Options Used:
% 0.69/1.05
% 0.69/1.05 useres = 1
% 0.69/1.05 useparamod = 1
% 0.69/1.05 useeqrefl = 1
% 0.69/1.05 useeqfact = 1
% 0.69/1.05 usefactor = 1
% 0.69/1.05 usesimpsplitting = 0
% 0.69/1.05 usesimpdemod = 5
% 0.69/1.05 usesimpres = 3
% 0.69/1.05
% 0.69/1.05 resimpinuse = 1000
% 0.69/1.05 resimpclauses = 20000
% 0.69/1.05 substype = eqrewr
% 0.69/1.05 backwardsubs = 1
% 0.69/1.05 selectoldest = 5
% 0.69/1.05
% 0.69/1.05 litorderings [0] = split
% 0.69/1.05 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.05
% 0.69/1.05 termordering = kbo
% 0.69/1.05
% 0.69/1.05 litapriori = 0
% 0.69/1.05 termapriori = 1
% 0.69/1.05 litaposteriori = 0
% 0.69/1.05 termaposteriori = 0
% 0.69/1.05 demodaposteriori = 0
% 0.69/1.05 ordereqreflfact = 0
% 0.69/1.05
% 0.69/1.05 litselect = negord
% 0.69/1.05
% 0.69/1.05 maxweight = 15
% 0.69/1.05 maxdepth = 30000
% 0.69/1.05 maxlength = 115
% 0.69/1.05 maxnrvars = 195
% 0.69/1.05 excuselevel = 1
% 0.69/1.05 increasemaxweight = 1
% 0.69/1.05
% 0.69/1.05 maxselected = 10000000
% 0.69/1.05 maxnrclauses = 10000000
% 0.69/1.05
% 0.69/1.05 showgenerated = 0
% 0.69/1.05 showkept = 0
% 0.69/1.05 showselected = 0
% 0.69/1.05 showdeleted = 0
% 0.69/1.05 showresimp = 1
% 0.69/1.05 showstatus = 2000
% 0.69/1.05
% 0.69/1.05 prologoutput = 1
% 0.69/1.05 nrgoals = 5000000
% 0.69/1.05 totalproof = 1
% 0.69/1.05
% 0.69/1.05 Symbols occurring in the translation:
% 0.69/1.05
% 0.69/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.05 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.69/1.05 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.69/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.05 'double_divide' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.69/1.05 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.69/1.05 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.69/1.05 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.69/1.05 a2 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 Starting Search:
% 0.69/1.05
% 0.69/1.05
% 0.69/1.05 Bliksems!, er is een bewijs:
% 0.69/1.05 % SZS status Unsatisfiable
% 0.69/1.05 % SZS output start Refutation
% 0.69/1.05
% 0.69/1.05 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.05 'double_divide'( 'double_divide'( Y, X ), Z ), 'double_divide'( Y,
% 0.69/1.05 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.69/1.05 multiply( X, Y ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.69/1.05 ), identity ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.05 'double_divide'( 'double_divide'( Y, X ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.05 identity ) ), Z ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 12, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.05 identity, inverse( X ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.69/1.05 )
% 0.69/1.05 .
% 0.69/1.05 clause( 13, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.69/1.05 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ),
% 0.69/1.05 inverse( identity ) ), Y ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 14, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.05 multiply( Y, X ), inverse( X ) ) ), inverse( identity ) ), identity ) ]
% 0.69/1.05 )
% 0.69/1.05 .
% 0.69/1.05 clause( 19, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.05 multiply( X, identity ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 22, [ =( multiply( inverse( identity ), inverse( X ) ), inverse(
% 0.69/1.05 multiply( X, identity ) ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 28, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 32, [ =( multiply( inverse( inverse( identity ) ), identity ),
% 0.69/1.05 identity ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 37, [ =( 'double_divide'( inverse( inverse( X ) ), inverse( X ) ),
% 0.69/1.05 inverse( identity ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 45, [ =( 'double_divide'( inverse( multiply( Y, X ) ), multiply( Y
% 0.69/1.05 , X ) ), inverse( identity ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 47, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 48, [ =( 'double_divide'( inverse( X ), X ), inverse( identity ) )
% 0.69/1.05 ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 50, [ =( inverse( identity ), identity ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 55, [ =( inverse( multiply( X, identity ) ), inverse( inverse(
% 0.69/1.05 inverse( X ) ) ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 56, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 62, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 65, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.69/1.05 .
% 0.69/1.05 clause( 73, [ =( 'double_divide'( X, inverse( inverse( inverse( X ) ) ) ),
% 0.69/1.05 identity ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 80, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.06 .
% 0.69/1.06 clause( 81, [] )
% 0.69/1.06 .
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 % SZS output end Refutation
% 0.69/1.06 found a proof!
% 0.69/1.06
% 0.69/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.06
% 0.69/1.06 initialclauses(
% 0.69/1.06 [ clause( 83, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 'double_divide'( 'double_divide'( Y, X ), Z ), 'double_divide'( Y,
% 0.69/1.06 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.69/1.06 , clause( 84, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.69/1.06 ), identity ) ) ] )
% 0.69/1.06 , clause( 85, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.69/1.06 , clause( 86, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.69/1.06 , clause( 87, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.69/1.06 ] ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 'double_divide'( 'double_divide'( Y, X ), Z ), 'double_divide'( Y,
% 0.69/1.06 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.69/1.06 , clause( 83, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 'double_divide'( 'double_divide'( Y, X ), Z ), 'double_divide'( Y,
% 0.69/1.06 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 90, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.69/1.06 multiply( X, Y ) ) ] )
% 0.69/1.06 , clause( 84, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.69/1.06 ), identity ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.69/1.06 multiply( X, Y ) ) ] )
% 0.69/1.06 , clause( 90, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.69/1.06 multiply( X, Y ) ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.06 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 93, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.06 , clause( 85, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.06 , clause( 93, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 97, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.06 , clause( 86, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.06 , clause( 97, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.69/1.06 , clause( 87, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 105, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.06 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.69/1.06 multiply( X, Y ) ) ] )
% 0.69/1.06 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.69/1.06 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.69/1.06 , clause( 105, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) )
% 0.69/1.06 ] )
% 0.69/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.06 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 108, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.69/1.06 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 111, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.69/1.06 multiply( Y, X ) ) ) ] )
% 0.69/1.06 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, clause( 108, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.69/1.06 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.06 :=( X, 'double_divide'( X, Y ) )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 112, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.69/1.06 ) ), identity ) ] )
% 0.69/1.06 , clause( 111, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.69/1.06 multiply( Y, X ) ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.69/1.06 ), identity ) ] )
% 0.69/1.06 , clause( 112, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y,
% 0.69/1.06 X ) ), identity ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.06 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 114, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 117, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.69/1.06 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.06 , 0, clause( 114, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.69/1.06 ) ] )
% 0.69/1.06 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.06 :=( Y, inverse( X ) )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.69/1.06 , clause( 117, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 120, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 123, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.06 , 0, clause( 120, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.69/1.06 ) ] )
% 0.69/1.06 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.06 :=( Y, identity )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , clause( 123, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 129, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 'double_divide'( 'double_divide'( Y, X ), Z ), 'double_divide'( Y,
% 0.69/1.06 identity ) ) ), inverse( identity ) ), Z ) ] )
% 0.69/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.06 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 'double_divide'( 'double_divide'( Y, X ), Z ), 'double_divide'( Y,
% 0.69/1.06 identity ) ) ), 'double_divide'( identity, identity ) ), Z ) ] )
% 0.69/1.06 , 0, 13, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.69/1.06 , X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 131, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 'double_divide'( 'double_divide'( Y, X ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.06 identity ) ), Z ) ] )
% 0.69/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.06 , 0, clause( 129, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 'double_divide'( 'double_divide'( Y, X ), Z ), 'double_divide'( Y,
% 0.69/1.06 identity ) ) ), inverse( identity ) ), Z ) ] )
% 0.69/1.06 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.69/1.06 :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 'double_divide'( 'double_divide'( Y, X ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.06 identity ) ), Z ) ] )
% 0.69/1.06 , clause( 131, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 'double_divide'( 'double_divide'( Y, X ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.06 identity ) ), Z ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 134, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.69/1.06 , clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 135, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.69/1.06 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , 0, clause( 134, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.69/1.06 , 0, 3, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 136, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.69/1.06 , clause( 135, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.69/1.06 , clause( 136, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 138, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 'double_divide'( 'double_divide'( Y, X ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.06 identity ) ) ) ] )
% 0.69/1.06 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 'double_divide'( 'double_divide'( Y, X ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.06 identity ) ), Z ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 141, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( X,
% 0.69/1.06 'double_divide'( identity, inverse( Y ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.06 , clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.69/1.06 ) ), identity ) ] )
% 0.69/1.06 , 0, clause( 138, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.69/1.06 'double_divide'( 'double_divide'( 'double_divide'( Y, X ), Z ), inverse(
% 0.69/1.06 Y ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.06 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.06 :=( X, X ), :=( Y, Y ), :=( Z, multiply( X, Y ) )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 143, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( X, Y ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , clause( 141, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( X,
% 0.69/1.06 'double_divide'( identity, inverse( Y ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 12, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.06 identity, inverse( X ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , clause( 143, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 identity, inverse( Y ) ) ), inverse( identity ) ), multiply( X, Y ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.06 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 146, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 'double_divide'( 'double_divide'( Y, X ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.06 identity ) ) ) ] )
% 0.69/1.06 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 'double_divide'( 'double_divide'( Y, X ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.06 identity ) ), Z ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 148, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ),
% 0.69/1.06 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.69/1.06 inverse( identity ) ) ) ] )
% 0.69/1.06 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.06 , 0, clause( 146, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.69/1.06 'double_divide'( 'double_divide'( 'double_divide'( Y, X ), Z ), inverse(
% 0.69/1.06 Y ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.06 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 0.69/1.06 Y ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 150, [ =( 'double_divide'( 'double_divide'( inverse( Y ),
% 0.69/1.06 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.69/1.06 inverse( identity ) ), X ) ] )
% 0.69/1.06 , clause( 148, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ),
% 0.69/1.06 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.69/1.06 inverse( identity ) ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 13, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.69/1.06 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ),
% 0.69/1.06 inverse( identity ) ), Y ) ] )
% 0.69/1.06 , clause( 150, [ =( 'double_divide'( 'double_divide'( inverse( Y ),
% 0.69/1.06 'double_divide'( 'double_divide'( identity, X ), inverse( Y ) ) ),
% 0.69/1.06 inverse( identity ) ), X ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.06 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 152, [ =( Z, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 'double_divide'( 'double_divide'( Y, X ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.06 identity ) ) ) ] )
% 0.69/1.06 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 'double_divide'( 'double_divide'( Y, X ), Z ), inverse( Y ) ) ), inverse(
% 0.69/1.06 identity ) ), Z ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 154, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.06 'double_divide'( inverse( 'double_divide'( Y, X ) ), inverse( Y ) ) ),
% 0.69/1.06 inverse( identity ) ) ) ] )
% 0.69/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.06 , 0, clause( 152, [ =( Z, 'double_divide'( 'double_divide'( X,
% 0.69/1.06 'double_divide'( 'double_divide'( 'double_divide'( Y, X ), Z ), inverse(
% 0.69/1.06 Y ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.06 , 0, 6, substitution( 0, [ :=( X, 'double_divide'( Y, X ) )] ),
% 0.69/1.06 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, identity )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 156, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.06 'double_divide'( multiply( X, Y ), inverse( Y ) ) ), inverse( identity )
% 0.69/1.06 ) ) ] )
% 0.69/1.06 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, clause( 154, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.06 'double_divide'( inverse( 'double_divide'( Y, X ) ), inverse( Y ) ) ),
% 0.69/1.06 inverse( identity ) ) ) ] )
% 0.69/1.06 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.69/1.06 :=( X, X ), :=( Y, Y )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 157, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 multiply( X, Y ), inverse( Y ) ) ), inverse( identity ) ), identity ) ]
% 0.69/1.06 )
% 0.69/1.06 , clause( 156, [ =( identity, 'double_divide'( 'double_divide'( X,
% 0.69/1.06 'double_divide'( multiply( X, Y ), inverse( Y ) ) ), inverse( identity )
% 0.69/1.06 ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 14, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.06 multiply( Y, X ), inverse( X ) ) ), inverse( identity ) ), identity ) ]
% 0.69/1.06 )
% 0.69/1.06 , clause( 157, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.69/1.06 multiply( X, Y ), inverse( Y ) ) ), inverse( identity ) ), identity ) ]
% 0.69/1.06 )
% 0.69/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.06 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 159, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( X,
% 0.69/1.06 'double_divide'( identity, inverse( Y ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.06 , clause( 12, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.06 identity, inverse( X ) ) ), inverse( identity ) ), multiply( Y, X ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 161, [ =( multiply( X, identity ), 'double_divide'( 'double_divide'(
% 0.69/1.06 X, identity ), inverse( identity ) ) ) ] )
% 0.69/1.06 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.06 , 0, clause( 159, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'(
% 0.69/1.06 X, 'double_divide'( identity, inverse( Y ) ) ), inverse( identity ) ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, 7, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.69/1.06 X ), :=( Y, identity )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 162, [ =( multiply( X, identity ), 'double_divide'( inverse( X ),
% 0.69/1.06 inverse( identity ) ) ) ] )
% 0.69/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.06 , 0, clause( 161, [ =( multiply( X, identity ), 'double_divide'(
% 0.69/1.06 'double_divide'( X, identity ), inverse( identity ) ) ) ] )
% 0.69/1.06 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.06 ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 163, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.06 multiply( X, identity ) ) ] )
% 0.69/1.06 , clause( 162, [ =( multiply( X, identity ), 'double_divide'( inverse( X )
% 0.69/1.06 , inverse( identity ) ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 19, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.06 multiply( X, identity ) ) ] )
% 0.69/1.06 , clause( 163, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.06 multiply( X, identity ) ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 165, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 168, [ =( multiply( inverse( identity ), inverse( X ) ), inverse(
% 0.69/1.06 multiply( X, identity ) ) ) ] )
% 0.69/1.06 , clause( 19, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.06 multiply( X, identity ) ) ] )
% 0.69/1.06 , 0, clause( 165, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.69/1.06 ) ] )
% 0.69/1.06 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.69/1.06 X ) ), :=( Y, inverse( identity ) )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 22, [ =( multiply( inverse( identity ), inverse( X ) ), inverse(
% 0.69/1.06 multiply( X, identity ) ) ) ] )
% 0.69/1.06 , clause( 168, [ =( multiply( inverse( identity ), inverse( X ) ), inverse(
% 0.69/1.06 multiply( X, identity ) ) ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 171, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.69/1.06 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ),
% 0.69/1.06 inverse( identity ) ) ) ] )
% 0.69/1.06 , clause( 13, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.69/1.06 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ),
% 0.69/1.06 inverse( identity ) ), Y ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 175, [ =( X, 'double_divide'( 'double_divide'( inverse(
% 0.69/1.06 'double_divide'( identity, X ) ), identity ), inverse( identity ) ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.69/1.06 , 0, clause( 171, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.69/1.06 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ),
% 0.69/1.06 inverse( identity ) ) ) ] )
% 0.69/1.06 , 0, 8, substitution( 0, [ :=( X, 'double_divide'( identity, X ) )] ),
% 0.69/1.06 substitution( 1, [ :=( X, 'double_divide'( identity, X ) ), :=( Y, X )] )
% 0.69/1.06 ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 177, [ =( X, 'double_divide'( inverse( inverse( 'double_divide'(
% 0.69/1.06 identity, X ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.06 , 0, clause( 175, [ =( X, 'double_divide'( 'double_divide'( inverse(
% 0.69/1.06 'double_divide'( identity, X ) ), identity ), inverse( identity ) ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, 3, substitution( 0, [ :=( X, inverse( 'double_divide'( identity, X ) )
% 0.69/1.06 )] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 178, [ =( X, multiply( inverse( 'double_divide'( identity, X ) ),
% 0.69/1.06 identity ) ) ] )
% 0.69/1.06 , clause( 19, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.06 multiply( X, identity ) ) ] )
% 0.69/1.06 , 0, clause( 177, [ =( X, 'double_divide'( inverse( inverse(
% 0.69/1.06 'double_divide'( identity, X ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.06 , 0, 2, substitution( 0, [ :=( X, inverse( 'double_divide'( identity, X ) )
% 0.69/1.06 )] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 179, [ =( X, multiply( multiply( X, identity ), identity ) ) ] )
% 0.69/1.06 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, clause( 178, [ =( X, multiply( inverse( 'double_divide'( identity, X )
% 0.69/1.06 ), identity ) ) ] )
% 0.69/1.06 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.69/1.06 1, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 180, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.69/1.06 , clause( 179, [ =( X, multiply( multiply( X, identity ), identity ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 28, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.69/1.06 , clause( 180, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 182, [ =( X, multiply( multiply( X, identity ), identity ) ) ] )
% 0.69/1.06 , clause( 28, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 183, [ =( identity, multiply( inverse( inverse( identity ) ),
% 0.69/1.06 identity ) ) ] )
% 0.69/1.06 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , 0, clause( 182, [ =( X, multiply( multiply( X, identity ), identity ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.69/1.06 identity )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 184, [ =( multiply( inverse( inverse( identity ) ), identity ),
% 0.69/1.06 identity ) ] )
% 0.69/1.06 , clause( 183, [ =( identity, multiply( inverse( inverse( identity ) ),
% 0.69/1.06 identity ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 32, [ =( multiply( inverse( inverse( identity ) ), identity ),
% 0.69/1.06 identity ) ] )
% 0.69/1.06 , clause( 184, [ =( multiply( inverse( inverse( identity ) ), identity ),
% 0.69/1.06 identity ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 186, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.69/1.06 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ),
% 0.69/1.06 inverse( identity ) ) ) ] )
% 0.69/1.06 , clause( 13, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.69/1.06 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ),
% 0.69/1.06 inverse( identity ) ), Y ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 191, [ =( 'double_divide'( multiply( identity, X ), inverse( X ) )
% 0.69/1.06 , 'double_divide'( 'double_divide'( inverse( identity ), identity ),
% 0.69/1.06 inverse( identity ) ) ) ] )
% 0.69/1.06 , clause( 14, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.69/1.06 multiply( Y, X ), inverse( X ) ) ), inverse( identity ) ), identity ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, clause( 186, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.69/1.06 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ),
% 0.69/1.06 inverse( identity ) ) ) ] )
% 0.69/1.06 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, identity )] ),
% 0.69/1.06 substitution( 1, [ :=( X, identity ), :=( Y, 'double_divide'( multiply(
% 0.69/1.06 identity, X ), inverse( X ) ) )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 192, [ =( 'double_divide'( multiply( identity, X ), inverse( X ) )
% 0.69/1.06 , 'double_divide'( inverse( inverse( identity ) ), inverse( identity ) )
% 0.69/1.06 ) ] )
% 0.69/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.06 , 0, clause( 191, [ =( 'double_divide'( multiply( identity, X ), inverse( X
% 0.69/1.06 ) ), 'double_divide'( 'double_divide'( inverse( identity ), identity ),
% 0.69/1.06 inverse( identity ) ) ) ] )
% 0.69/1.06 , 0, 8, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.69/1.06 , [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 193, [ =( 'double_divide'( multiply( identity, X ), inverse( X ) )
% 0.69/1.06 , multiply( inverse( identity ), identity ) ) ] )
% 0.69/1.06 , clause( 19, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.06 multiply( X, identity ) ) ] )
% 0.69/1.06 , 0, clause( 192, [ =( 'double_divide'( multiply( identity, X ), inverse( X
% 0.69/1.06 ) ), 'double_divide'( inverse( inverse( identity ) ), inverse( identity
% 0.69/1.06 ) ) ) ] )
% 0.69/1.06 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.69/1.06 , [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 194, [ =( 'double_divide'( multiply( identity, X ), inverse( X ) )
% 0.69/1.06 , inverse( identity ) ) ] )
% 0.69/1.06 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.69/1.06 , 0, clause( 193, [ =( 'double_divide'( multiply( identity, X ), inverse( X
% 0.69/1.06 ) ), multiply( inverse( identity ), identity ) ) ] )
% 0.69/1.06 , 0, 7, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.69/1.06 X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 195, [ =( 'double_divide'( inverse( inverse( X ) ), inverse( X ) )
% 0.69/1.06 , inverse( identity ) ) ] )
% 0.69/1.06 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , 0, clause( 194, [ =( 'double_divide'( multiply( identity, X ), inverse( X
% 0.69/1.06 ) ), inverse( identity ) ) ] )
% 0.69/1.06 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.06 ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 37, [ =( 'double_divide'( inverse( inverse( X ) ), inverse( X ) ),
% 0.69/1.06 inverse( identity ) ) ] )
% 0.69/1.06 , clause( 195, [ =( 'double_divide'( inverse( inverse( X ) ), inverse( X )
% 0.69/1.06 ), inverse( identity ) ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 198, [ =( inverse( identity ), 'double_divide'( inverse( inverse( X
% 0.69/1.06 ) ), inverse( X ) ) ) ] )
% 0.69/1.06 , clause( 37, [ =( 'double_divide'( inverse( inverse( X ) ), inverse( X ) )
% 0.69/1.06 , inverse( identity ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 202, [ =( inverse( identity ), 'double_divide'( inverse( inverse(
% 0.69/1.06 'double_divide'( X, Y ) ) ), multiply( Y, X ) ) ) ] )
% 0.69/1.06 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, clause( 198, [ =( inverse( identity ), 'double_divide'( inverse(
% 0.69/1.06 inverse( X ) ), inverse( X ) ) ) ] )
% 0.69/1.06 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.06 :=( X, 'double_divide'( X, Y ) )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 203, [ =( inverse( identity ), 'double_divide'( inverse( multiply(
% 0.69/1.06 Y, X ) ), multiply( Y, X ) ) ) ] )
% 0.69/1.06 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, clause( 202, [ =( inverse( identity ), 'double_divide'( inverse(
% 0.69/1.06 inverse( 'double_divide'( X, Y ) ) ), multiply( Y, X ) ) ) ] )
% 0.69/1.06 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.69/1.06 :=( X, X ), :=( Y, Y )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 205, [ =( 'double_divide'( inverse( multiply( X, Y ) ), multiply( X
% 0.69/1.06 , Y ) ), inverse( identity ) ) ] )
% 0.69/1.06 , clause( 203, [ =( inverse( identity ), 'double_divide'( inverse( multiply(
% 0.69/1.06 Y, X ) ), multiply( Y, X ) ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 45, [ =( 'double_divide'( inverse( multiply( Y, X ) ), multiply( Y
% 0.69/1.06 , X ) ), inverse( identity ) ) ] )
% 0.69/1.06 , clause( 205, [ =( 'double_divide'( inverse( multiply( X, Y ) ), multiply(
% 0.69/1.06 X, Y ) ), inverse( identity ) ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.06 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 208, [ =( inverse( identity ), 'double_divide'( inverse( multiply(
% 0.69/1.06 X, Y ) ), multiply( X, Y ) ) ) ] )
% 0.69/1.06 , clause( 45, [ =( 'double_divide'( inverse( multiply( Y, X ) ), multiply(
% 0.69/1.06 Y, X ) ), inverse( identity ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 211, [ =( inverse( identity ), 'double_divide'( inverse( multiply(
% 0.69/1.06 inverse( inverse( identity ) ), identity ) ), identity ) ) ] )
% 0.69/1.06 , clause( 32, [ =( multiply( inverse( inverse( identity ) ), identity ),
% 0.69/1.06 identity ) ] )
% 0.69/1.06 , 0, clause( 208, [ =( inverse( identity ), 'double_divide'( inverse(
% 0.69/1.06 multiply( X, Y ) ), multiply( X, Y ) ) ) ] )
% 0.69/1.06 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( inverse(
% 0.69/1.06 identity ) ) ), :=( Y, identity )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 212, [ =( inverse( identity ), 'double_divide'( inverse( identity )
% 0.69/1.06 , identity ) ) ] )
% 0.69/1.06 , clause( 32, [ =( multiply( inverse( inverse( identity ) ), identity ),
% 0.69/1.06 identity ) ] )
% 0.69/1.06 , 0, clause( 211, [ =( inverse( identity ), 'double_divide'( inverse(
% 0.69/1.06 multiply( inverse( inverse( identity ) ), identity ) ), identity ) ) ] )
% 0.69/1.06 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 215, [ =( inverse( identity ), inverse( inverse( identity ) ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.06 , 0, clause( 212, [ =( inverse( identity ), 'double_divide'( inverse(
% 0.69/1.06 identity ), identity ) ) ] )
% 0.69/1.06 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.69/1.06 , [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 216, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , clause( 215, [ =( inverse( identity ), inverse( inverse( identity ) ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, substitution( 0, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 47, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ] )
% 0.69/1.06 , clause( 216, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 218, [ =( inverse( identity ), 'double_divide'( inverse( multiply(
% 0.69/1.06 X, Y ) ), multiply( X, Y ) ) ) ] )
% 0.69/1.06 , clause( 45, [ =( 'double_divide'( inverse( multiply( Y, X ) ), multiply(
% 0.69/1.06 Y, X ) ), inverse( identity ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 220, [ =( inverse( identity ), 'double_divide'( inverse( multiply(
% 0.69/1.06 multiply( X, identity ), identity ) ), X ) ) ] )
% 0.69/1.06 , clause( 28, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.69/1.06 , 0, clause( 218, [ =( inverse( identity ), 'double_divide'( inverse(
% 0.69/1.06 multiply( X, Y ) ), multiply( X, Y ) ) ) ] )
% 0.69/1.06 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.69/1.06 multiply( X, identity ) ), :=( Y, identity )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 221, [ =( inverse( identity ), 'double_divide'( inverse( X ), X ) )
% 0.69/1.06 ] )
% 0.69/1.06 , clause( 28, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.69/1.06 , 0, clause( 220, [ =( inverse( identity ), 'double_divide'( inverse(
% 0.69/1.06 multiply( multiply( X, identity ), identity ) ), X ) ) ] )
% 0.69/1.06 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.06 ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 223, [ =( 'double_divide'( inverse( X ), X ), inverse( identity ) )
% 0.69/1.06 ] )
% 0.69/1.06 , clause( 221, [ =( inverse( identity ), 'double_divide'( inverse( X ), X )
% 0.69/1.06 ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 48, [ =( 'double_divide'( inverse( X ), X ), inverse( identity ) )
% 0.69/1.06 ] )
% 0.69/1.06 , clause( 223, [ =( 'double_divide'( inverse( X ), X ), inverse( identity )
% 0.69/1.06 ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 226, [ =( identity, multiply( inverse( inverse( identity ) ),
% 0.69/1.06 identity ) ) ] )
% 0.69/1.06 , clause( 32, [ =( multiply( inverse( inverse( identity ) ), identity ),
% 0.69/1.06 identity ) ] )
% 0.69/1.06 , 0, substitution( 0, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 228, [ =( identity, multiply( inverse( identity ), identity ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , clause( 47, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, clause( 226, [ =( identity, multiply( inverse( inverse( identity ) ),
% 0.69/1.06 identity ) ) ] )
% 0.69/1.06 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 229, [ =( identity, inverse( identity ) ) ] )
% 0.69/1.06 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.69/1.06 , 0, clause( 228, [ =( identity, multiply( inverse( identity ), identity )
% 0.69/1.06 ) ] )
% 0.69/1.06 , 0, 2, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 230, [ =( inverse( identity ), identity ) ] )
% 0.69/1.06 , clause( 229, [ =( identity, inverse( identity ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 50, [ =( inverse( identity ), identity ) ] )
% 0.69/1.06 , clause( 230, [ =( inverse( identity ), identity ) ] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 232, [ =( inverse( multiply( X, identity ) ), multiply( inverse(
% 0.69/1.06 identity ), inverse( X ) ) ) ] )
% 0.69/1.06 , clause( 22, [ =( multiply( inverse( identity ), inverse( X ) ), inverse(
% 0.69/1.06 multiply( X, identity ) ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 234, [ =( inverse( multiply( X, identity ) ), multiply( identity,
% 0.69/1.06 inverse( X ) ) ) ] )
% 0.69/1.06 , clause( 50, [ =( inverse( identity ), identity ) ] )
% 0.69/1.06 , 0, clause( 232, [ =( inverse( multiply( X, identity ) ), multiply(
% 0.69/1.06 inverse( identity ), inverse( X ) ) ) ] )
% 0.69/1.06 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 245, [ =( inverse( multiply( X, identity ) ), inverse( inverse(
% 0.69/1.06 inverse( X ) ) ) ) ] )
% 0.69/1.06 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , 0, clause( 234, [ =( inverse( multiply( X, identity ) ), multiply(
% 0.69/1.06 identity, inverse( X ) ) ) ] )
% 0.69/1.06 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.69/1.06 :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 55, [ =( inverse( multiply( X, identity ) ), inverse( inverse(
% 0.69/1.06 inverse( X ) ) ) ) ] )
% 0.69/1.06 , clause( 245, [ =( inverse( multiply( X, identity ) ), inverse( inverse(
% 0.69/1.06 inverse( X ) ) ) ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 248, [ =( multiply( X, identity ), 'double_divide'( inverse( X ),
% 0.69/1.06 inverse( identity ) ) ) ] )
% 0.69/1.06 , clause( 19, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.06 multiply( X, identity ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 252, [ =( multiply( X, identity ), 'double_divide'( inverse( X ),
% 0.69/1.06 identity ) ) ] )
% 0.69/1.06 , clause( 50, [ =( inverse( identity ), identity ) ] )
% 0.69/1.06 , 0, clause( 248, [ =( multiply( X, identity ), 'double_divide'( inverse( X
% 0.69/1.06 ), inverse( identity ) ) ) ] )
% 0.69/1.06 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 254, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.06 , 0, clause( 252, [ =( multiply( X, identity ), 'double_divide'( inverse( X
% 0.69/1.06 ), identity ) ) ] )
% 0.69/1.06 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.69/1.06 :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 56, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , clause( 254, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 256, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.69/1.06 , clause( 56, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 259, [ =( inverse( inverse( multiply( X, identity ) ) ), X ) ] )
% 0.69/1.06 , clause( 28, [ =( multiply( multiply( X, identity ), identity ), X ) ] )
% 0.69/1.06 , 0, clause( 256, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.69/1.06 multiply( X, identity ) )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 260, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.06 , clause( 55, [ =( inverse( multiply( X, identity ) ), inverse( inverse(
% 0.69/1.06 inverse( X ) ) ) ) ] )
% 0.69/1.06 , 0, clause( 259, [ =( inverse( inverse( multiply( X, identity ) ) ), X ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.06 ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 62, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.06 , clause( 260, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 264, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.69/1.06 , clause( 50, [ =( inverse( identity ), identity ) ] )
% 0.69/1.06 , 0, clause( 48, [ =( 'double_divide'( inverse( X ), X ), inverse( identity
% 0.69/1.06 ) ) ] )
% 0.69/1.06 , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 65, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.69/1.06 , clause( 264, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 267, [ =( identity, 'double_divide'( inverse( X ), X ) ) ] )
% 0.69/1.06 , clause( 65, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 268, [ =( identity, 'double_divide'( X, inverse( inverse( inverse(
% 0.69/1.06 X ) ) ) ) ) ] )
% 0.69/1.06 , clause( 62, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.06 , 0, clause( 267, [ =( identity, 'double_divide'( inverse( X ), X ) ) ] )
% 0.69/1.06 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.69/1.06 inverse( inverse( X ) ) ) )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 269, [ =( 'double_divide'( X, inverse( inverse( inverse( X ) ) ) )
% 0.69/1.06 , identity ) ] )
% 0.69/1.06 , clause( 268, [ =( identity, 'double_divide'( X, inverse( inverse( inverse(
% 0.69/1.06 X ) ) ) ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 73, [ =( 'double_divide'( X, inverse( inverse( inverse( X ) ) ) ),
% 0.69/1.06 identity ) ] )
% 0.69/1.06 , clause( 269, [ =( 'double_divide'( X, inverse( inverse( inverse( X ) ) )
% 0.69/1.06 ), identity ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 271, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.69/1.06 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ),
% 0.69/1.06 inverse( identity ) ) ) ] )
% 0.69/1.06 , clause( 13, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.69/1.06 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ),
% 0.69/1.06 inverse( identity ) ), Y ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 278, [ =( X, 'double_divide'( 'double_divide'( inverse( inverse(
% 0.69/1.06 inverse( 'double_divide'( identity, X ) ) ) ), identity ), inverse(
% 0.69/1.06 identity ) ) ) ] )
% 0.69/1.06 , clause( 73, [ =( 'double_divide'( X, inverse( inverse( inverse( X ) ) ) )
% 0.69/1.06 , identity ) ] )
% 0.69/1.06 , 0, clause( 271, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.69/1.06 'double_divide'( 'double_divide'( identity, Y ), inverse( X ) ) ),
% 0.69/1.06 inverse( identity ) ) ) ] )
% 0.69/1.06 , 0, 10, substitution( 0, [ :=( X, 'double_divide'( identity, X ) )] ),
% 0.69/1.06 substitution( 1, [ :=( X, inverse( inverse( 'double_divide'( identity, X
% 0.69/1.06 ) ) ) ), :=( Y, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 280, [ =( X, 'double_divide'( inverse( inverse( inverse( inverse(
% 0.69/1.06 'double_divide'( identity, X ) ) ) ) ), inverse( identity ) ) ) ] )
% 0.69/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.69/1.06 , 0, clause( 278, [ =( X, 'double_divide'( 'double_divide'( inverse(
% 0.69/1.06 inverse( inverse( 'double_divide'( identity, X ) ) ) ), identity ),
% 0.69/1.06 inverse( identity ) ) ) ] )
% 0.69/1.06 , 0, 3, substitution( 0, [ :=( X, inverse( inverse( inverse(
% 0.69/1.06 'double_divide'( identity, X ) ) ) ) )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.06 ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 281, [ =( X, multiply( inverse( inverse( inverse( 'double_divide'(
% 0.69/1.06 identity, X ) ) ) ), identity ) ) ] )
% 0.69/1.06 , clause( 19, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.69/1.06 multiply( X, identity ) ) ] )
% 0.69/1.06 , 0, clause( 280, [ =( X, 'double_divide'( inverse( inverse( inverse(
% 0.69/1.06 inverse( 'double_divide'( identity, X ) ) ) ) ), inverse( identity ) ) )
% 0.69/1.06 ] )
% 0.69/1.06 , 0, 2, substitution( 0, [ :=( X, inverse( inverse( inverse(
% 0.69/1.06 'double_divide'( identity, X ) ) ) ) )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.06 ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 282, [ =( X, inverse( inverse( inverse( inverse( inverse(
% 0.69/1.06 'double_divide'( identity, X ) ) ) ) ) ) ) ] )
% 0.69/1.06 , clause( 56, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , 0, clause( 281, [ =( X, multiply( inverse( inverse( inverse(
% 0.69/1.06 'double_divide'( identity, X ) ) ) ), identity ) ) ] )
% 0.69/1.06 , 0, 2, substitution( 0, [ :=( X, inverse( inverse( inverse(
% 0.69/1.06 'double_divide'( identity, X ) ) ) ) )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.06 ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 283, [ =( X, inverse( 'double_divide'( identity, X ) ) ) ] )
% 0.69/1.06 , clause( 62, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.69/1.06 , 0, clause( 282, [ =( X, inverse( inverse( inverse( inverse( inverse(
% 0.69/1.06 'double_divide'( identity, X ) ) ) ) ) ) ) ] )
% 0.69/1.06 , 0, 2, substitution( 0, [ :=( X, inverse( 'double_divide'( identity, X ) )
% 0.69/1.06 )] ), substitution( 1, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 284, [ =( X, multiply( X, identity ) ) ] )
% 0.69/1.06 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.69/1.06 )
% 0.69/1.06 , 0, clause( 283, [ =( X, inverse( 'double_divide'( identity, X ) ) ) ] )
% 0.69/1.06 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.69/1.06 1, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 paramod(
% 0.69/1.06 clause( 285, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , clause( 56, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , 0, clause( 284, [ =( X, multiply( X, identity ) ) ] )
% 0.69/1.06 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.69/1.06 ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 286, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.06 , clause( 285, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 80, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.06 , clause( 286, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 287, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , clause( 80, [ =( inverse( inverse( X ) ), X ) ] )
% 0.69/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 eqswap(
% 0.69/1.06 clause( 288, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.69/1.06 , clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 resolution(
% 0.69/1.06 clause( 289, [] )
% 0.69/1.06 , clause( 288, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.69/1.06 , 0, clause( 287, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.69/1.06 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a2 )] )).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 subsumption(
% 0.69/1.06 clause( 81, [] )
% 0.69/1.06 , clause( 289, [] )
% 0.69/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 end.
% 0.69/1.06
% 0.69/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.06
% 0.69/1.06 Memory use:
% 0.69/1.06
% 0.69/1.06 space for terms: 944
% 0.69/1.06 space for clauses: 9445
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 clauses generated: 352
% 0.69/1.06 clauses kept: 82
% 0.69/1.06 clauses selected: 31
% 0.69/1.06 clauses deleted: 8
% 0.69/1.06 clauses inuse deleted: 0
% 0.69/1.06
% 0.69/1.06 subsentry: 525
% 0.69/1.06 literals s-matched: 175
% 0.69/1.06 literals matched: 173
% 0.69/1.06 full subsumption: 0
% 0.69/1.06
% 0.69/1.06 checksum: 839475451
% 0.69/1.06
% 0.69/1.06
% 0.69/1.06 Bliksem ended
%------------------------------------------------------------------------------