TSTP Solution File: GRP568-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP568-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 07:37:40 EDT 2022
% Result : Unsatisfiable 0.65s 1.04s
% Output : Refutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP568-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n009.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 21:07:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.65/1.04 *** allocated 10000 integers for termspace/termends
% 0.65/1.04 *** allocated 10000 integers for clauses
% 0.65/1.04 *** allocated 10000 integers for justifications
% 0.65/1.04 Bliksem 1.12
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 Automatic Strategy Selection
% 0.65/1.04
% 0.65/1.04 Clauses:
% 0.65/1.04 [
% 0.65/1.04 [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.04 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.04 , Z ) ) ), 'double_divide'( identity, identity ) ), Y ) ],
% 0.65/1.04 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.65/1.04 identity ) ) ],
% 0.65/1.04 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.65/1.04 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.65/1.04 [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ]
% 0.65/1.04 ] .
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 percentage equality = 1.000000, percentage horn = 1.000000
% 0.65/1.04 This is a pure equality problem
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 Options Used:
% 0.65/1.04
% 0.65/1.04 useres = 1
% 0.65/1.04 useparamod = 1
% 0.65/1.04 useeqrefl = 1
% 0.65/1.04 useeqfact = 1
% 0.65/1.04 usefactor = 1
% 0.65/1.04 usesimpsplitting = 0
% 0.65/1.04 usesimpdemod = 5
% 0.65/1.04 usesimpres = 3
% 0.65/1.04
% 0.65/1.04 resimpinuse = 1000
% 0.65/1.04 resimpclauses = 20000
% 0.65/1.04 substype = eqrewr
% 0.65/1.04 backwardsubs = 1
% 0.65/1.04 selectoldest = 5
% 0.65/1.04
% 0.65/1.04 litorderings [0] = split
% 0.65/1.04 litorderings [1] = extend the termordering, first sorting on arguments
% 0.65/1.04
% 0.65/1.04 termordering = kbo
% 0.65/1.04
% 0.65/1.04 litapriori = 0
% 0.65/1.04 termapriori = 1
% 0.65/1.04 litaposteriori = 0
% 0.65/1.04 termaposteriori = 0
% 0.65/1.04 demodaposteriori = 0
% 0.65/1.04 ordereqreflfact = 0
% 0.65/1.04
% 0.65/1.04 litselect = negord
% 0.65/1.04
% 0.65/1.04 maxweight = 15
% 0.65/1.04 maxdepth = 30000
% 0.65/1.04 maxlength = 115
% 0.65/1.04 maxnrvars = 195
% 0.65/1.04 excuselevel = 1
% 0.65/1.04 increasemaxweight = 1
% 0.65/1.04
% 0.65/1.04 maxselected = 10000000
% 0.65/1.04 maxnrclauses = 10000000
% 0.65/1.04
% 0.65/1.04 showgenerated = 0
% 0.65/1.04 showkept = 0
% 0.65/1.04 showselected = 0
% 0.65/1.04 showdeleted = 0
% 0.65/1.04 showresimp = 1
% 0.65/1.04 showstatus = 2000
% 0.65/1.04
% 0.65/1.04 prologoutput = 1
% 0.65/1.04 nrgoals = 5000000
% 0.65/1.04 totalproof = 1
% 0.65/1.04
% 0.65/1.04 Symbols occurring in the translation:
% 0.65/1.04
% 0.65/1.04 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.65/1.04 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.65/1.04 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.65/1.04 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.65/1.04 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.65/1.04 'double_divide' [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.65/1.04 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.65/1.04 multiply [44, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.65/1.04 inverse [45, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.65/1.04 a [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.65/1.04 b [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 Starting Search:
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 Bliksems!, er is een bewijs:
% 0.65/1.04 % SZS status Unsatisfiable
% 0.65/1.04 % SZS output start Refutation
% 0.65/1.04
% 0.65/1.04 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.04 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.04 , Z ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.65/1.04 multiply( X, Y ) ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.04 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.04 , Z ) ) ), inverse( identity ) ), Y ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 11, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.04 inverse( Y ), 'double_divide'( identity, inverse( X ) ) ) ), inverse(
% 0.65/1.04 identity ) ), Y ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 12, [ =( 'double_divide'( 'double_divide'( X, multiply(
% 0.65/1.04 'double_divide'( X, inverse( identity ) ), Y ) ), inverse( identity ) ),
% 0.65/1.04 Y ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.04 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.65/1.04 identity ) ), Y ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 16, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.04 inverse( X ) ) ), inverse( identity ) ), X ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 17, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.04 identity, inverse( inverse( X ) ) ), multiply( X, Y ) ), inverse(
% 0.65/1.04 identity ) ), Y ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 21, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.04 multiply( Y, X ) ) ), inverse( identity ) ), 'double_divide'( X, Y ) ) ]
% 0.65/1.04 )
% 0.65/1.04 .
% 0.65/1.04 clause( 26, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X )
% 0.65/1.04 ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 29, [ =( 'double_divide'( 'double_divide'( inverse( X ), X ),
% 0.65/1.04 inverse( identity ) ), identity ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 47, [ =( inverse( inverse( X ) ), X ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 50, [ =( inverse( identity ), identity ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 53, [ =( multiply( X, identity ), X ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 59, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 61, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) ) ]
% 0.65/1.04 )
% 0.65/1.04 .
% 0.65/1.04 clause( 70, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 71, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 79, [ =( multiply( 'double_divide'( Y, X ), Y ), inverse( X ) ) ]
% 0.65/1.04 )
% 0.65/1.04 .
% 0.65/1.04 clause( 82, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.65/1.04 .
% 0.65/1.04 clause( 90, [] )
% 0.65/1.04 .
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 % SZS output end Refutation
% 0.65/1.04 found a proof!
% 0.65/1.04
% 0.65/1.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.65/1.04
% 0.65/1.04 initialclauses(
% 0.65/1.04 [ clause( 92, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.04 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.04 , Z ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.65/1.04 , clause( 93, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.65/1.04 ), identity ) ) ] )
% 0.65/1.04 , clause( 94, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.65/1.04 , clause( 95, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.65/1.04 , clause( 96, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.65/1.04 ] ).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 subsumption(
% 0.65/1.04 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.04 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.04 , Z ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.65/1.04 , clause( 92, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.04 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.04 , Z ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.65/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.65/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 eqswap(
% 0.65/1.04 clause( 99, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.65/1.04 multiply( X, Y ) ) ] )
% 0.65/1.04 , clause( 93, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.65/1.04 ), identity ) ) ] )
% 0.65/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 subsumption(
% 0.65/1.04 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.65/1.04 multiply( X, Y ) ) ] )
% 0.65/1.04 , clause( 99, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.65/1.04 multiply( X, Y ) ) ] )
% 0.65/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.04 )] ) ).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 eqswap(
% 0.65/1.04 clause( 102, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.04 , clause( 94, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.65/1.04 , 0, substitution( 0, [ :=( X, X )] )).
% 0.65/1.04
% 0.65/1.04
% 0.65/1.04 subsumption(
% 0.65/1.04 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.04 , clause( 102, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.04 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 106, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.65/1.05 , clause( 95, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.65/1.05 , clause( 106, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.65/1.05 , clause( 96, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.65/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 114, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.05 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.65/1.05 multiply( X, Y ) ) ] )
% 0.65/1.05 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.65/1.05 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.65/1.05 , clause( 114, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) )
% 0.65/1.05 ] )
% 0.65/1.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.05 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 117, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 120, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.65/1.05 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.65/1.05 , 0, clause( 117, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.65/1.05 ) ] )
% 0.65/1.05 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.65/1.05 :=( Y, inverse( X ) )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.65/1.05 , clause( 120, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 123, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 126, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.65/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.05 , 0, clause( 123, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.65/1.05 ) ] )
% 0.65/1.05 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.65/1.05 :=( Y, identity )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.65/1.05 , clause( 126, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 130, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.05 , Z ) ) ), inverse( identity ) ), Y ) ] )
% 0.65/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.05 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.05 , Z ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.65/1.05 , 0, 13, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.65/1.05 , X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.05 , Z ) ) ), inverse( identity ) ), Y ) ] )
% 0.65/1.05 , clause( 130, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.05 , Z ) ) ), inverse( identity ) ), Y ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.65/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 133, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.05 , Z ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.05 , Z ) ) ), inverse( identity ) ), Y ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 135, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.65/1.05 'double_divide'( X, identity ), 'double_divide'( identity, inverse( Y ) )
% 0.65/1.05 ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.65/1.05 , 0, clause( 133, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.65/1.05 'double_divide'( 'double_divide'( Y, 'double_divide'( X, Z ) ),
% 0.65/1.05 'double_divide'( identity, Z ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.65/1.05 :=( Y, X ), :=( Z, inverse( Y ) )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 139, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.65/1.05 inverse( X ), 'double_divide'( identity, inverse( Y ) ) ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.05 , 0, clause( 135, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.65/1.05 'double_divide'( 'double_divide'( X, identity ), 'double_divide'(
% 0.65/1.05 identity, inverse( Y ) ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.65/1.05 :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 140, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.65/1.05 inverse( X ), 'double_divide'( identity, inverse( Y ) ) ) ), inverse(
% 0.65/1.05 identity ) ), X ) ] )
% 0.65/1.05 , clause( 139, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.65/1.05 inverse( X ), 'double_divide'( identity, inverse( Y ) ) ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 11, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 inverse( Y ), 'double_divide'( identity, inverse( X ) ) ) ), inverse(
% 0.65/1.05 identity ) ), Y ) ] )
% 0.65/1.05 , clause( 140, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.65/1.05 inverse( X ), 'double_divide'( identity, inverse( Y ) ) ) ), inverse(
% 0.65/1.05 identity ) ), X ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.05 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 142, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.05 , Z ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.05 , Z ) ) ), inverse( identity ) ), Y ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 146, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.65/1.05 'double_divide'( X, 'double_divide'( Y, inverse( identity ) ) ), identity
% 0.65/1.05 ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.65/1.05 , 0, clause( 142, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.65/1.05 'double_divide'( 'double_divide'( Y, 'double_divide'( X, Z ) ),
% 0.65/1.05 'double_divide'( identity, Z ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 12, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.65/1.05 , Y ), :=( Y, X ), :=( Z, inverse( identity ) )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 147, [ =( X, 'double_divide'( 'double_divide'( Y, inverse(
% 0.65/1.05 'double_divide'( X, 'double_divide'( Y, inverse( identity ) ) ) ) ),
% 0.65/1.05 inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.05 , 0, clause( 146, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.65/1.05 'double_divide'( 'double_divide'( X, 'double_divide'( Y, inverse(
% 0.65/1.05 identity ) ) ), identity ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( X, 'double_divide'( Y,
% 0.65/1.05 inverse( identity ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.65/1.05 ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 148, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.65/1.05 'double_divide'( Y, inverse( identity ) ), X ) ), inverse( identity ) ) )
% 0.65/1.05 ] )
% 0.65/1.05 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , 0, clause( 147, [ =( X, 'double_divide'( 'double_divide'( Y, inverse(
% 0.65/1.05 'double_divide'( X, 'double_divide'( Y, inverse( identity ) ) ) ) ),
% 0.65/1.05 inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( Y, inverse( identity ) )
% 0.65/1.05 ), :=( Y, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 149, [ =( 'double_divide'( 'double_divide'( Y, multiply(
% 0.65/1.05 'double_divide'( Y, inverse( identity ) ), X ) ), inverse( identity ) ),
% 0.65/1.05 X ) ] )
% 0.65/1.05 , clause( 148, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.65/1.05 'double_divide'( Y, inverse( identity ) ), X ) ), inverse( identity ) ) )
% 0.65/1.05 ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 12, [ =( 'double_divide'( 'double_divide'( X, multiply(
% 0.65/1.05 'double_divide'( X, inverse( identity ) ), Y ) ), inverse( identity ) ),
% 0.65/1.05 Y ) ] )
% 0.65/1.05 , clause( 149, [ =( 'double_divide'( 'double_divide'( Y, multiply(
% 0.65/1.05 'double_divide'( Y, inverse( identity ) ), X ) ), inverse( identity ) ),
% 0.65/1.05 X ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.05 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 151, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.05 , Z ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.05 , Z ) ) ), inverse( identity ) ), Y ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 154, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.65/1.05 'double_divide'( X, 'double_divide'( Y, identity ) ), inverse( identity )
% 0.65/1.05 ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.05 , 0, clause( 151, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.65/1.05 'double_divide'( 'double_divide'( Y, 'double_divide'( X, Z ) ),
% 0.65/1.05 'double_divide'( identity, Z ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 11, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.65/1.05 , Y ), :=( Y, X ), :=( Z, identity )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 156, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.65/1.05 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.05 , 0, clause( 154, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.65/1.05 'double_divide'( 'double_divide'( X, 'double_divide'( Y, identity ) ),
% 0.65/1.05 inverse( identity ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.65/1.05 :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 157, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.65/1.05 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.65/1.05 identity ) ), X ) ] )
% 0.65/1.05 , clause( 156, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.65/1.05 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.65/1.05 identity ) ), Y ) ] )
% 0.65/1.05 , clause( 157, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.65/1.05 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.65/1.05 identity ) ), X ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.05 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 159, [ =( Y, 'double_divide'( 'double_divide'( X, multiply(
% 0.65/1.05 'double_divide'( X, inverse( identity ) ), Y ) ), inverse( identity ) ) )
% 0.65/1.05 ] )
% 0.65/1.05 , clause( 12, [ =( 'double_divide'( 'double_divide'( X, multiply(
% 0.65/1.05 'double_divide'( X, inverse( identity ) ), Y ) ), inverse( identity ) ),
% 0.65/1.05 Y ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 161, [ =( X, 'double_divide'( 'double_divide'( identity, multiply(
% 0.65/1.05 identity, X ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.65/1.05 , 0, clause( 159, [ =( Y, 'double_divide'( 'double_divide'( X, multiply(
% 0.65/1.05 'double_divide'( X, inverse( identity ) ), Y ) ), inverse( identity ) ) )
% 0.65/1.05 ] )
% 0.65/1.05 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.65/1.05 identity ), :=( Y, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 162, [ =( X, 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 inverse( X ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.65/1.05 , 0, clause( 161, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.65/1.05 multiply( identity, X ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.65/1.05 ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 163, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 inverse( X ) ) ), inverse( identity ) ), X ) ] )
% 0.65/1.05 , clause( 162, [ =( X, 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 inverse( X ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 16, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 inverse( X ) ) ), inverse( identity ) ), X ) ] )
% 0.65/1.05 , clause( 163, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 inverse( X ) ) ), inverse( identity ) ), X ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 165, [ =( Y, 'double_divide'( 'double_divide'( X, multiply(
% 0.65/1.05 'double_divide'( X, inverse( identity ) ), Y ) ), inverse( identity ) ) )
% 0.65/1.05 ] )
% 0.65/1.05 , clause( 12, [ =( 'double_divide'( 'double_divide'( X, multiply(
% 0.65/1.05 'double_divide'( X, inverse( identity ) ), Y ) ), inverse( identity ) ),
% 0.65/1.05 Y ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 166, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( inverse( Y ) ) ), multiply( Y, X ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , clause( 16, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 inverse( X ) ) ), inverse( identity ) ), X ) ] )
% 0.65/1.05 , 0, clause( 165, [ =( Y, 'double_divide'( 'double_divide'( X, multiply(
% 0.65/1.05 'double_divide'( X, inverse( identity ) ), Y ) ), inverse( identity ) ) )
% 0.65/1.05 ] )
% 0.65/1.05 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 0.65/1.05 'double_divide'( identity, inverse( inverse( Y ) ) ) ), :=( Y, X )] )
% 0.65/1.05 ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 167, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( inverse( Y ) ) ), multiply( Y, X ) ), inverse(
% 0.65/1.05 identity ) ), X ) ] )
% 0.65/1.05 , clause( 166, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( inverse( Y ) ) ), multiply( Y, X ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 17, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( inverse( X ) ) ), multiply( X, Y ) ), inverse(
% 0.65/1.05 identity ) ), Y ) ] )
% 0.65/1.05 , clause( 167, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( inverse( Y ) ) ), multiply( Y, X ) ), inverse(
% 0.65/1.05 identity ) ), X ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.05 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 169, [ =( X, 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 inverse( X ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 16, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 inverse( X ) ) ), inverse( identity ) ), X ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 172, [ =( 'double_divide'( X, Y ), 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( multiply( Y, X ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , 0, clause( 169, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.65/1.05 inverse( inverse( X ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.65/1.05 :=( X, 'double_divide'( X, Y ) )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 173, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 multiply( Y, X ) ) ), inverse( identity ) ), 'double_divide'( X, Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 172, [ =( 'double_divide'( X, Y ), 'double_divide'(
% 0.65/1.05 'double_divide'( identity, inverse( multiply( Y, X ) ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 21, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 multiply( Y, X ) ) ), inverse( identity ) ), 'double_divide'( X, Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 173, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 multiply( Y, X ) ) ), inverse( identity ) ), 'double_divide'( X, Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.05 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 175, [ =( Y, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( inverse( X ) ) ), multiply( X, Y ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , clause( 17, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( inverse( X ) ) ), multiply( X, Y ) ), inverse(
% 0.65/1.05 identity ) ), Y ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 177, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( inverse( inverse( X ) ) ) ), inverse( identity ) ),
% 0.65/1.05 inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.65/1.05 , 0, clause( 175, [ =( Y, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( inverse( X ) ) ), multiply( X, Y ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.65/1.05 inverse( X ) ), :=( Y, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 178, [ =( X, 'double_divide'( inverse( X ), inverse( identity ) ) )
% 0.65/1.05 ] )
% 0.65/1.05 , clause( 16, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 inverse( X ) ) ), inverse( identity ) ), X ) ] )
% 0.65/1.05 , 0, clause( 177, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( inverse( inverse( X ) ) ) ), inverse( identity ) ),
% 0.65/1.05 inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 3, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.65/1.05 :=( X, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 179, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X )
% 0.65/1.05 ] )
% 0.65/1.05 , clause( 178, [ =( X, 'double_divide'( inverse( X ), inverse( identity ) )
% 0.65/1.05 ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 26, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X )
% 0.65/1.05 ] )
% 0.65/1.05 , clause( 179, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X
% 0.65/1.05 ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 181, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.65/1.05 identity ) ), Y ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 182, [ =( identity, 'double_divide'( 'double_divide'( inverse( X )
% 0.65/1.05 , X ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 16, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 inverse( X ) ) ), inverse( identity ) ), X ) ] )
% 0.65/1.05 , 0, clause( 181, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.65/1.05 'double_divide'( 'double_divide'( Y, inverse( X ) ), inverse( identity )
% 0.65/1.05 ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.65/1.05 X ) ), :=( Y, identity )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 184, [ =( 'double_divide'( 'double_divide'( inverse( X ), X ),
% 0.65/1.05 inverse( identity ) ), identity ) ] )
% 0.65/1.05 , clause( 182, [ =( identity, 'double_divide'( 'double_divide'( inverse( X
% 0.65/1.05 ), X ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 29, [ =( 'double_divide'( 'double_divide'( inverse( X ), X ),
% 0.65/1.05 inverse( identity ) ), identity ) ] )
% 0.65/1.05 , clause( 184, [ =( 'double_divide'( 'double_divide'( inverse( X ), X ),
% 0.65/1.05 inverse( identity ) ), identity ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 187, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.65/1.05 identity ) ), Y ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 190, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.65/1.05 X, identity ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 29, [ =( 'double_divide'( 'double_divide'( inverse( X ), X ),
% 0.65/1.05 inverse( identity ) ), identity ) ] )
% 0.65/1.05 , 0, clause( 187, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.65/1.05 'double_divide'( 'double_divide'( Y, inverse( X ) ), inverse( identity )
% 0.65/1.05 ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.65/1.05 :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 192, [ =( inverse( inverse( X ) ), 'double_divide'( inverse( X ),
% 0.65/1.05 inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.05 , 0, clause( 190, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.65/1.05 'double_divide'( X, identity ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.65/1.05 ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 193, [ =( inverse( inverse( X ) ), X ) ] )
% 0.65/1.05 , clause( 26, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X
% 0.65/1.05 ) ] )
% 0.65/1.05 , 0, clause( 192, [ =( inverse( inverse( X ) ), 'double_divide'( inverse( X
% 0.65/1.05 ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.65/1.05 ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 47, [ =( inverse( inverse( X ) ), X ) ] )
% 0.65/1.05 , clause( 193, [ =( inverse( inverse( X ) ), X ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 196, [ =( identity, 'double_divide'( 'double_divide'( inverse( X )
% 0.65/1.05 , X ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 29, [ =( 'double_divide'( 'double_divide'( inverse( X ), X ),
% 0.65/1.05 inverse( identity ) ), identity ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 198, [ =( identity, 'double_divide'( inverse( inverse( identity ) )
% 0.65/1.05 , inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.05 , 0, clause( 196, [ =( identity, 'double_divide'( 'double_divide'( inverse(
% 0.65/1.05 X ), X ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 3, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.65/1.05 , [ :=( X, identity )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 199, [ =( identity, inverse( identity ) ) ] )
% 0.65/1.05 , clause( 26, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X
% 0.65/1.05 ) ] )
% 0.65/1.05 , 0, clause( 198, [ =( identity, 'double_divide'( inverse( inverse(
% 0.65/1.05 identity ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 2, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.65/1.05 , [] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 200, [ =( inverse( identity ), identity ) ] )
% 0.65/1.05 , clause( 199, [ =( identity, inverse( identity ) ) ] )
% 0.65/1.05 , 0, substitution( 0, [] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 50, [ =( inverse( identity ), identity ) ] )
% 0.65/1.05 , clause( 200, [ =( inverse( identity ), identity ) ] )
% 0.65/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 202, [ =( Y, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( inverse( X ) ) ), multiply( X, Y ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , clause( 17, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( inverse( X ) ) ), multiply( X, Y ) ), inverse(
% 0.65/1.05 identity ) ), Y ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 209, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( inverse( identity ) ) ), multiply( identity, X ) ),
% 0.65/1.05 identity ) ) ] )
% 0.65/1.05 , clause( 50, [ =( inverse( identity ), identity ) ] )
% 0.65/1.05 , 0, clause( 202, [ =( Y, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( inverse( X ) ) ), multiply( X, Y ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , 0, 12, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.65/1.05 , X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 211, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( identity ) ), multiply( identity, X ) ), identity ) )
% 0.65/1.05 ] )
% 0.65/1.05 , clause( 50, [ =( inverse( identity ), identity ) ] )
% 0.65/1.05 , 0, clause( 209, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( inverse( identity ) ) ), multiply( identity, X ) ),
% 0.65/1.05 identity ) ) ] )
% 0.65/1.05 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 222, [ =( X, inverse( 'double_divide'( 'double_divide'( identity,
% 0.65/1.05 inverse( identity ) ), multiply( identity, X ) ) ) ) ] )
% 0.65/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.05 , 0, clause( 211, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( identity ) ), multiply( identity, X ) ), identity ) )
% 0.65/1.05 ] )
% 0.65/1.05 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( identity ) ), multiply( identity, X ) ) )] ),
% 0.65/1.05 substitution( 1, [ :=( X, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 223, [ =( X, multiply( multiply( identity, X ), 'double_divide'(
% 0.65/1.05 identity, inverse( identity ) ) ) ) ] )
% 0.65/1.05 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , 0, clause( 222, [ =( X, inverse( 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( identity ) ), multiply( identity, X ) ) ) ) ] )
% 0.65/1.05 , 0, 2, substitution( 0, [ :=( X, multiply( identity, X ) ), :=( Y,
% 0.65/1.05 'double_divide'( identity, inverse( identity ) ) )] ), substitution( 1, [
% 0.65/1.05 :=( X, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 224, [ =( X, multiply( inverse( inverse( X ) ), 'double_divide'(
% 0.65/1.05 identity, inverse( identity ) ) ) ) ] )
% 0.65/1.05 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.65/1.05 , 0, clause( 223, [ =( X, multiply( multiply( identity, X ),
% 0.65/1.05 'double_divide'( identity, inverse( identity ) ) ) ) ] )
% 0.65/1.05 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.65/1.05 ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 225, [ =( X, multiply( X, 'double_divide'( identity, inverse(
% 0.65/1.05 identity ) ) ) ) ] )
% 0.65/1.05 , clause( 47, [ =( inverse( inverse( X ) ), X ) ] )
% 0.65/1.05 , 0, clause( 224, [ =( X, multiply( inverse( inverse( X ) ),
% 0.65/1.05 'double_divide'( identity, inverse( identity ) ) ) ) ] )
% 0.65/1.05 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.65/1.05 ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 226, [ =( X, multiply( X, identity ) ) ] )
% 0.65/1.05 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.65/1.05 , 0, clause( 225, [ =( X, multiply( X, 'double_divide'( identity, inverse(
% 0.65/1.05 identity ) ) ) ) ] )
% 0.65/1.05 , 0, 4, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.65/1.05 X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 227, [ =( multiply( X, identity ), X ) ] )
% 0.65/1.05 , clause( 226, [ =( X, multiply( X, identity ) ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 53, [ =( multiply( X, identity ), X ) ] )
% 0.65/1.05 , clause( 227, [ =( multiply( X, identity ), X ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 229, [ =( 'double_divide'( Y, X ), 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( multiply( X, Y ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 21, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 multiply( Y, X ) ) ), inverse( identity ) ), 'double_divide'( X, Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 234, [ =( 'double_divide'( identity, X ), 'double_divide'(
% 0.65/1.05 'double_divide'( identity, inverse( X ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 53, [ =( multiply( X, identity ), X ) ] )
% 0.65/1.05 , 0, clause( 229, [ =( 'double_divide'( Y, X ), 'double_divide'(
% 0.65/1.05 'double_divide'( identity, inverse( multiply( X, Y ) ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.65/1.05 :=( Y, identity )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 235, [ =( 'double_divide'( identity, X ), 'double_divide'(
% 0.65/1.05 'double_divide'( identity, inverse( X ) ), identity ) ) ] )
% 0.65/1.05 , clause( 50, [ =( inverse( identity ), identity ) ] )
% 0.65/1.05 , 0, clause( 234, [ =( 'double_divide'( identity, X ), 'double_divide'(
% 0.65/1.05 'double_divide'( identity, inverse( X ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 236, [ =( 'double_divide'( identity, X ), inverse( 'double_divide'(
% 0.65/1.05 identity, inverse( X ) ) ) ) ] )
% 0.65/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.05 , 0, clause( 235, [ =( 'double_divide'( identity, X ), 'double_divide'(
% 0.65/1.05 'double_divide'( identity, inverse( X ) ), identity ) ) ] )
% 0.65/1.05 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( identity, inverse( X ) )
% 0.65/1.05 )] ), substitution( 1, [ :=( X, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 237, [ =( 'double_divide'( identity, X ), multiply( inverse( X ),
% 0.65/1.05 identity ) ) ] )
% 0.65/1.05 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , 0, clause( 236, [ =( 'double_divide'( identity, X ), inverse(
% 0.65/1.05 'double_divide'( identity, inverse( X ) ) ) ) ] )
% 0.65/1.05 , 0, 4, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, identity )] ),
% 0.65/1.05 substitution( 1, [ :=( X, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 238, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.65/1.05 , clause( 53, [ =( multiply( X, identity ), X ) ] )
% 0.65/1.05 , 0, clause( 237, [ =( 'double_divide'( identity, X ), multiply( inverse( X
% 0.65/1.05 ), identity ) ) ] )
% 0.65/1.05 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.65/1.05 :=( X, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 59, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.65/1.05 , clause( 238, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 241, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 inverse( Y ), 'double_divide'( identity, inverse( X ) ) ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , clause( 11, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 inverse( Y ), 'double_divide'( identity, inverse( X ) ) ) ), inverse(
% 0.65/1.05 identity ) ), Y ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 247, [ =( inverse( X ), 'double_divide'( 'double_divide'( Y,
% 0.65/1.05 'double_divide'( X, 'double_divide'( identity, inverse( Y ) ) ) ),
% 0.65/1.05 inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 47, [ =( inverse( inverse( X ) ), X ) ] )
% 0.65/1.05 , 0, clause( 241, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.65/1.05 'double_divide'( inverse( Y ), 'double_divide'( identity, inverse( X ) )
% 0.65/1.05 ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.65/1.05 :=( Y, inverse( X ) )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 250, [ =( inverse( X ), 'double_divide'( 'double_divide'( Y,
% 0.65/1.05 'double_divide'( X, inverse( inverse( Y ) ) ) ), inverse( identity ) ) )
% 0.65/1.05 ] )
% 0.65/1.05 , clause( 59, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.65/1.05 , 0, clause( 247, [ =( inverse( X ), 'double_divide'( 'double_divide'( Y,
% 0.65/1.05 'double_divide'( X, 'double_divide'( identity, inverse( Y ) ) ) ),
% 0.65/1.05 inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 8, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.65/1.05 :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 251, [ =( inverse( X ), 'double_divide'( 'double_divide'( Y,
% 0.65/1.05 'double_divide'( X, Y ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 47, [ =( inverse( inverse( X ) ), X ) ] )
% 0.65/1.05 , 0, clause( 250, [ =( inverse( X ), 'double_divide'( 'double_divide'( Y,
% 0.65/1.05 'double_divide'( X, inverse( inverse( Y ) ) ) ), inverse( identity ) ) )
% 0.65/1.05 ] )
% 0.65/1.05 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.65/1.05 :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 252, [ =( inverse( X ), 'double_divide'( 'double_divide'( Y,
% 0.65/1.05 'double_divide'( X, Y ) ), identity ) ) ] )
% 0.65/1.05 , clause( 50, [ =( inverse( identity ), identity ) ] )
% 0.65/1.05 , 0, clause( 251, [ =( inverse( X ), 'double_divide'( 'double_divide'( Y,
% 0.65/1.05 'double_divide'( X, Y ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.65/1.05 ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 253, [ =( inverse( X ), inverse( 'double_divide'( Y,
% 0.65/1.05 'double_divide'( X, Y ) ) ) ) ] )
% 0.65/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.05 , 0, clause( 252, [ =( inverse( X ), 'double_divide'( 'double_divide'( Y,
% 0.65/1.05 'double_divide'( X, Y ) ), identity ) ) ] )
% 0.65/1.05 , 0, 3, substitution( 0, [ :=( X, 'double_divide'( Y, 'double_divide'( X, Y
% 0.65/1.05 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 254, [ =( inverse( X ), multiply( 'double_divide'( X, Y ), Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , 0, clause( 253, [ =( inverse( X ), inverse( 'double_divide'( Y,
% 0.65/1.05 'double_divide'( X, Y ) ) ) ) ] )
% 0.65/1.05 , 0, 3, substitution( 0, [ :=( X, 'double_divide'( X, Y ) ), :=( Y, Y )] )
% 0.65/1.05 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 255, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 254, [ =( inverse( X ), multiply( 'double_divide'( X, Y ), Y ) )
% 0.65/1.05 ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 61, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 255, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) )
% 0.65/1.05 ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.05 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 257, [ =( 'double_divide'( Y, X ), 'double_divide'( 'double_divide'(
% 0.65/1.05 identity, inverse( multiply( X, Y ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 21, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 multiply( Y, X ) ) ), inverse( identity ) ), 'double_divide'( X, Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 260, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ),
% 0.65/1.05 'double_divide'( 'double_divide'( identity, inverse( inverse( Y ) ) ),
% 0.65/1.05 inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 61, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , 0, clause( 257, [ =( 'double_divide'( Y, X ), 'double_divide'(
% 0.65/1.05 'double_divide'( identity, inverse( multiply( X, Y ) ) ), inverse(
% 0.65/1.05 identity ) ) ) ] )
% 0.65/1.05 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.65/1.05 :=( X, 'double_divide'( Y, X ) ), :=( Y, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 261, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.65/1.05 , clause( 16, [ =( 'double_divide'( 'double_divide'( identity, inverse(
% 0.65/1.05 inverse( X ) ) ), inverse( identity ) ), X ) ] )
% 0.65/1.05 , 0, clause( 260, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ),
% 0.65/1.05 'double_divide'( 'double_divide'( identity, inverse( inverse( Y ) ) ),
% 0.65/1.05 inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.65/1.05 :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 70, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.65/1.05 , clause( 261, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.05 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 263, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ] )
% 0.65/1.05 , clause( 70, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 266, [ =( X, 'double_divide'( 'double_divide'( Y, X ), Y ) ) ] )
% 0.65/1.05 , clause( 70, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.65/1.05 , 0, clause( 263, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.65/1.05 :=( X, 'double_divide'( Y, X ) ), :=( Y, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 267, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.65/1.05 , clause( 266, [ =( X, 'double_divide'( 'double_divide'( Y, X ), Y ) ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 71, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.65/1.05 , clause( 267, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.05 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 269, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.05 , Z ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( identity
% 0.65/1.05 , Z ) ) ), inverse( identity ) ), Y ) ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 279, [ =( 'double_divide'( identity, X ), 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( Y, X ) ), inverse( identity ) ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 71, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.65/1.05 , 0, clause( 269, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.65/1.05 'double_divide'( 'double_divide'( Y, 'double_divide'( X, Z ) ),
% 0.65/1.05 'double_divide'( identity, Z ) ) ), inverse( identity ) ) ) ] )
% 0.65/1.05 , 0, 7, substitution( 0, [ :=( X, 'double_divide'( Y, X ) ), :=( Y,
% 0.65/1.05 'double_divide'( identity, X ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.65/1.05 , 'double_divide'( identity, X ) ), :=( Z, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 292, [ =( 'double_divide'( identity, X ), 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( Y, X ) ), identity ) ) ] )
% 0.65/1.05 , clause( 50, [ =( inverse( identity ), identity ) ] )
% 0.65/1.05 , 0, clause( 279, [ =( 'double_divide'( identity, X ), 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( Y, X ) ), inverse( identity ) ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.65/1.05 ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 293, [ =( 'double_divide'( identity, X ), inverse( 'double_divide'(
% 0.65/1.05 Y, 'double_divide'( Y, X ) ) ) ) ] )
% 0.65/1.05 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.65/1.05 , 0, clause( 292, [ =( 'double_divide'( identity, X ), 'double_divide'(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( Y, X ) ), identity ) ) ] )
% 0.65/1.05 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( Y, 'double_divide'( Y, X
% 0.65/1.05 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 294, [ =( 'double_divide'( identity, X ), multiply( 'double_divide'(
% 0.65/1.05 Y, X ), Y ) ) ] )
% 0.65/1.05 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , 0, clause( 293, [ =( 'double_divide'( identity, X ), inverse(
% 0.65/1.05 'double_divide'( Y, 'double_divide'( Y, X ) ) ) ) ] )
% 0.65/1.05 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( Y, X ) ), :=( Y, Y )] )
% 0.65/1.05 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 295, [ =( inverse( X ), multiply( 'double_divide'( Y, X ), Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 59, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.65/1.05 , 0, clause( 294, [ =( 'double_divide'( identity, X ), multiply(
% 0.65/1.05 'double_divide'( Y, X ), Y ) ) ] )
% 0.65/1.05 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.65/1.05 :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 296, [ =( multiply( 'double_divide'( Y, X ), Y ), inverse( X ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 295, [ =( inverse( X ), multiply( 'double_divide'( Y, X ), Y ) )
% 0.65/1.05 ] )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 79, [ =( multiply( 'double_divide'( Y, X ), Y ), inverse( X ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 296, [ =( multiply( 'double_divide'( Y, X ), Y ), inverse( X ) )
% 0.65/1.05 ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.05 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 298, [ =( inverse( Y ), multiply( 'double_divide'( X, Y ), X ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 79, [ =( multiply( 'double_divide'( Y, X ), Y ), inverse( X ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 300, [ =( inverse( 'double_divide'( X, Y ) ), multiply( X, Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 70, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.65/1.05 , 0, clause( 298, [ =( inverse( Y ), multiply( 'double_divide'( X, Y ), X )
% 0.65/1.05 ) ] )
% 0.65/1.05 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.65/1.05 :=( X, Y ), :=( Y, 'double_divide'( X, Y ) )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 301, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.65/1.05 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , 0, clause( 300, [ =( inverse( 'double_divide'( X, Y ) ), multiply( X, Y )
% 0.65/1.05 ) ] )
% 0.65/1.05 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.65/1.05 :=( X, X ), :=( Y, Y )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 82, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.65/1.05 , clause( 301, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.05 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqswap(
% 0.65/1.05 clause( 302, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.65/1.05 , clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.65/1.05 , 0, substitution( 0, [] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 paramod(
% 0.65/1.05 clause( 304, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.65/1.05 , clause( 82, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.65/1.05 , 0, clause( 302, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.65/1.05 , 0, 5, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 0.65/1.05 ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 eqrefl(
% 0.65/1.05 clause( 307, [] )
% 0.65/1.05 , clause( 304, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.65/1.05 , 0, substitution( 0, [] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 90, [] )
% 0.65/1.05 , clause( 307, [] )
% 0.65/1.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 end.
% 0.65/1.05
% 0.65/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.65/1.05
% 0.65/1.05 Memory use:
% 0.65/1.05
% 0.65/1.05 space for terms: 1013
% 0.65/1.05 space for clauses: 10013
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 clauses generated: 516
% 0.65/1.05 clauses kept: 91
% 0.65/1.05 clauses selected: 33
% 0.65/1.05 clauses deleted: 10
% 0.65/1.05 clauses inuse deleted: 0
% 0.65/1.05
% 0.65/1.05 subsentry: 484
% 0.65/1.05 literals s-matched: 166
% 0.65/1.05 literals matched: 164
% 0.65/1.05 full subsumption: 0
% 0.65/1.05
% 0.65/1.05 checksum: -332717706
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 Bliksem ended
%------------------------------------------------------------------------------