TSTP Solution File: GRP572-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP572-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 07:37:41 EDT 2022
% Result : Unsatisfiable 0.41s 1.06s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP572-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.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 10:03:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.06 *** allocated 10000 integers for termspace/termends
% 0.41/1.06 *** allocated 10000 integers for clauses
% 0.41/1.06 *** allocated 10000 integers for justifications
% 0.41/1.06 Bliksem 1.12
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Automatic Strategy Selection
% 0.41/1.06
% 0.41/1.06 Clauses:
% 0.41/1.06 [
% 0.41/1.06 [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.41/1.06 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ],
% 0.41/1.06 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.41/1.06 identity ) ) ],
% 0.41/1.06 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.41/1.06 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.41/1.06 [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ]
% 0.41/1.06 ] .
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 percentage equality = 1.000000, percentage horn = 1.000000
% 0.41/1.06 This is a pure equality problem
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Options Used:
% 0.41/1.06
% 0.41/1.06 useres = 1
% 0.41/1.06 useparamod = 1
% 0.41/1.06 useeqrefl = 1
% 0.41/1.06 useeqfact = 1
% 0.41/1.06 usefactor = 1
% 0.41/1.06 usesimpsplitting = 0
% 0.41/1.06 usesimpdemod = 5
% 0.41/1.06 usesimpres = 3
% 0.41/1.06
% 0.41/1.06 resimpinuse = 1000
% 0.41/1.06 resimpclauses = 20000
% 0.41/1.06 substype = eqrewr
% 0.41/1.06 backwardsubs = 1
% 0.41/1.06 selectoldest = 5
% 0.41/1.06
% 0.41/1.06 litorderings [0] = split
% 0.41/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.41/1.06
% 0.41/1.06 termordering = kbo
% 0.41/1.06
% 0.41/1.06 litapriori = 0
% 0.41/1.06 termapriori = 1
% 0.41/1.06 litaposteriori = 0
% 0.41/1.06 termaposteriori = 0
% 0.41/1.06 demodaposteriori = 0
% 0.41/1.06 ordereqreflfact = 0
% 0.41/1.06
% 0.41/1.06 litselect = negord
% 0.41/1.06
% 0.41/1.06 maxweight = 15
% 0.41/1.06 maxdepth = 30000
% 0.41/1.06 maxlength = 115
% 0.41/1.06 maxnrvars = 195
% 0.41/1.06 excuselevel = 1
% 0.41/1.06 increasemaxweight = 1
% 0.41/1.06
% 0.41/1.06 maxselected = 10000000
% 0.41/1.06 maxnrclauses = 10000000
% 0.41/1.06
% 0.41/1.06 showgenerated = 0
% 0.41/1.06 showkept = 0
% 0.41/1.06 showselected = 0
% 0.41/1.06 showdeleted = 0
% 0.41/1.06 showresimp = 1
% 0.41/1.06 showstatus = 2000
% 0.41/1.06
% 0.41/1.06 prologoutput = 1
% 0.41/1.06 nrgoals = 5000000
% 0.41/1.06 totalproof = 1
% 0.41/1.06
% 0.41/1.06 Symbols occurring in the translation:
% 0.41/1.06
% 0.41/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.41/1.06 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.41/1.06 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.41/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.06 'double_divide' [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.41/1.06 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.41/1.06 multiply [44, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.41/1.06 inverse [45, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.41/1.06 a [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.41/1.06 b [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Starting Search:
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Bliksems!, er is een bewijs:
% 0.41/1.06 % SZS status Unsatisfiable
% 0.41/1.06 % SZS output start Refutation
% 0.41/1.06
% 0.41/1.06 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.41/1.06 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.41/1.06 multiply( X, Y ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.41/1.06 identity ) ), Y ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 11, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 inverse( Y ), inverse( inverse( X ) ) ) ), inverse( identity ) ), Y ) ]
% 0.41/1.06 )
% 0.41/1.06 .
% 0.41/1.06 clause( 12, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.41/1.06 identity ) ), Y ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 15, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X )
% 0.41/1.06 ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 22, [ =( 'double_divide'( 'double_divide'( identity,
% 0.41/1.06 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ),
% 0.41/1.06 inverse( X ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 23, [ =( 'double_divide'( X, 'double_divide'( inverse( Y ), inverse(
% 0.41/1.06 inverse( X ) ) ) ), inverse( Y ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 24, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'( Y,
% 0.41/1.06 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse( Y ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 36, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 43, [ =( inverse( identity ), identity ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 44, [ =( inverse( inverse( X ) ), X ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 55, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 62, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 74, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 80, [ =( 'double_divide'( Y, X ), 'double_divide'( X, Y ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 89, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 90, [] )
% 0.41/1.06 .
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 % SZS output end Refutation
% 0.41/1.06 found a proof!
% 0.41/1.06
% 0.41/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06
% 0.41/1.06 initialclauses(
% 0.41/1.06 [ clause( 92, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.41/1.06 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.41/1.06 , clause( 93, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.41/1.06 ), identity ) ) ] )
% 0.41/1.06 , clause( 94, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.41/1.06 , clause( 95, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.41/1.06 , clause( 96, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.41/1.06 ] ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.41/1.06 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.41/1.06 , clause( 92, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.41/1.06 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 99, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.41/1.06 multiply( X, Y ) ) ] )
% 0.41/1.06 , clause( 93, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.41/1.06 ), identity ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.41/1.06 multiply( X, Y ) ) ] )
% 0.41/1.06 , clause( 99, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.41/1.06 multiply( X, Y ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 102, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.41/1.06 , clause( 94, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.41/1.06 , clause( 102, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 106, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.41/1.06 , clause( 95, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.41/1.06 , clause( 106, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.41/1.06 , clause( 96, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.41/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 114, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.41/1.06 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.41/1.06 multiply( X, Y ) ) ] )
% 0.41/1.06 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.41/1.06 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.41/1.06 , clause( 114, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) )
% 0.41/1.06 ] )
% 0.41/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 117, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 120, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.41/1.06 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.41/1.06 , 0, clause( 117, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.41/1.06 ) ] )
% 0.41/1.06 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, inverse( X ) )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.41/1.06 , clause( 120, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 123, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 126, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.41/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.41/1.06 , 0, clause( 123, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.41/1.06 ) ] )
% 0.41/1.06 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, identity )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.41/1.06 , clause( 126, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 132, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.41/1.06 identity ) ) ), inverse( identity ) ), Y ) ] )
% 0.41/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.41/1.06 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.41/1.06 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.41/1.06 , 0, 13, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.41/1.06 , X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 134, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.41/1.06 identity ) ), Y ) ] )
% 0.41/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.41/1.06 , 0, clause( 132, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.41/1.06 identity ) ) ), inverse( identity ) ), Y ) ] )
% 0.41/1.06 , 0, 10, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.41/1.06 identity ) ), Y ) ] )
% 0.41/1.06 , clause( 134, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.41/1.06 identity ) ), Y ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 137, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.41/1.06 identity ) ) ) ] )
% 0.41/1.06 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.41/1.06 identity ) ), Y ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 139, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.41/1.06 'double_divide'( X, identity ), inverse( inverse( Y ) ) ) ), inverse(
% 0.41/1.06 identity ) ) ) ] )
% 0.41/1.06 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.41/1.06 , 0, clause( 137, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.41/1.06 'double_divide'( 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse(
% 0.41/1.06 Z ) ) ), inverse( identity ) ) ) ] )
% 0.41/1.06 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.41/1.06 :=( Y, X ), :=( Z, inverse( Y ) )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 140, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.41/1.06 inverse( X ), inverse( inverse( Y ) ) ) ), inverse( identity ) ) ) ] )
% 0.41/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.41/1.06 , 0, clause( 139, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.41/1.06 'double_divide'( 'double_divide'( X, identity ), inverse( inverse( Y ) )
% 0.41/1.06 ) ), inverse( identity ) ) ) ] )
% 0.41/1.06 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 141, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.41/1.06 inverse( X ), inverse( inverse( Y ) ) ) ), inverse( identity ) ), X ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 140, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.41/1.06 inverse( X ), inverse( inverse( Y ) ) ) ), inverse( identity ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 11, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 inverse( Y ), inverse( inverse( X ) ) ) ), inverse( identity ) ), Y ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 141, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.41/1.06 inverse( X ), inverse( inverse( Y ) ) ) ), inverse( identity ) ), X ) ]
% 0.41/1.06 )
% 0.41/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 143, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.41/1.06 identity ) ) ) ] )
% 0.41/1.06 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.41/1.06 identity ) ), Y ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 144, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.41/1.06 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.41/1.06 identity ) ) ) ] )
% 0.41/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.41/1.06 , 0, clause( 143, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.41/1.06 'double_divide'( 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse(
% 0.41/1.06 Z ) ) ), inverse( identity ) ) ) ] )
% 0.41/1.06 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.41/1.06 :=( Y, X ), :=( Z, identity )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 145, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.41/1.06 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.41/1.06 identity ) ), X ) ] )
% 0.41/1.06 , clause( 144, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.41/1.06 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.41/1.06 identity ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 12, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.41/1.06 identity ) ), Y ) ] )
% 0.41/1.06 , clause( 145, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.41/1.06 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.41/1.06 identity ) ), X ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 147, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 inverse( Y ), inverse( inverse( X ) ) ) ), inverse( identity ) ) ) ] )
% 0.41/1.06 , clause( 11, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 inverse( Y ), inverse( inverse( X ) ) ) ), inverse( identity ) ), Y ) ]
% 0.41/1.06 )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 149, [ =( X, 'double_divide'( 'double_divide'( X, identity ),
% 0.41/1.06 inverse( identity ) ) ) ] )
% 0.41/1.06 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.41/1.06 , 0, clause( 147, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.41/1.06 'double_divide'( inverse( Y ), inverse( inverse( X ) ) ) ), inverse(
% 0.41/1.06 identity ) ) ) ] )
% 0.41/1.06 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.41/1.06 :=( X, X ), :=( Y, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 150, [ =( X, 'double_divide'( inverse( X ), inverse( identity ) ) )
% 0.41/1.06 ] )
% 0.41/1.06 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.41/1.06 , 0, clause( 149, [ =( X, 'double_divide'( 'double_divide'( X, identity ),
% 0.41/1.06 inverse( identity ) ) ) ] )
% 0.41/1.06 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.41/1.06 ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 151, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X )
% 0.41/1.06 ] )
% 0.41/1.06 , clause( 150, [ =( X, 'double_divide'( inverse( X ), inverse( identity ) )
% 0.41/1.06 ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 15, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X )
% 0.41/1.06 ] )
% 0.41/1.06 , clause( 151, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X
% 0.41/1.06 ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 153, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.41/1.06 identity ) ) ) ] )
% 0.41/1.06 , clause( 12, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.41/1.06 identity ) ), Y ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 154, [ =( inverse( X ), 'double_divide'( 'double_divide'( identity
% 0.41/1.06 , 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 15, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X
% 0.41/1.06 ) ] )
% 0.41/1.06 , 0, clause( 153, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.41/1.06 'double_divide'( 'double_divide'( Y, inverse( X ) ), inverse( identity )
% 0.41/1.06 ) ), inverse( identity ) ) ) ] )
% 0.41/1.06 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.41/1.06 identity ), :=( Y, inverse( X ) )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 155, [ =( 'double_divide'( 'double_divide'( identity,
% 0.41/1.06 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ),
% 0.41/1.06 inverse( X ) ) ] )
% 0.41/1.06 , clause( 154, [ =( inverse( X ), 'double_divide'( 'double_divide'(
% 0.41/1.06 identity, 'double_divide'( X, inverse( identity ) ) ), inverse( identity
% 0.41/1.06 ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 22, [ =( 'double_divide'( 'double_divide'( identity,
% 0.41/1.06 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ),
% 0.41/1.06 inverse( X ) ) ] )
% 0.41/1.06 , clause( 155, [ =( 'double_divide'( 'double_divide'( identity,
% 0.41/1.06 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ),
% 0.41/1.06 inverse( X ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 157, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.41/1.06 identity ) ) ) ] )
% 0.41/1.06 , clause( 12, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.41/1.06 identity ) ), Y ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 159, [ =( 'double_divide'( X, 'double_divide'( inverse( Y ),
% 0.41/1.06 inverse( inverse( X ) ) ) ), 'double_divide'( 'double_divide'( identity,
% 0.41/1.06 'double_divide'( Y, inverse( identity ) ) ), inverse( identity ) ) ) ] )
% 0.41/1.06 , clause( 11, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 inverse( Y ), inverse( inverse( X ) ) ) ), inverse( identity ) ), Y ) ]
% 0.41/1.06 )
% 0.41/1.06 , 0, clause( 157, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.41/1.06 'double_divide'( 'double_divide'( Y, inverse( X ) ), inverse( identity )
% 0.41/1.06 ) ), inverse( identity ) ) ) ] )
% 0.41/1.06 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.41/1.06 :=( X, identity ), :=( Y, 'double_divide'( X, 'double_divide'( inverse( Y
% 0.41/1.06 ), inverse( inverse( X ) ) ) ) )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 160, [ =( 'double_divide'( X, 'double_divide'( inverse( Y ),
% 0.41/1.06 inverse( inverse( X ) ) ) ), inverse( Y ) ) ] )
% 0.41/1.06 , clause( 22, [ =( 'double_divide'( 'double_divide'( identity,
% 0.41/1.06 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ),
% 0.41/1.06 inverse( X ) ) ] )
% 0.41/1.06 , 0, clause( 159, [ =( 'double_divide'( X, 'double_divide'( inverse( Y ),
% 0.41/1.06 inverse( inverse( X ) ) ) ), 'double_divide'( 'double_divide'( identity,
% 0.41/1.06 'double_divide'( Y, inverse( identity ) ) ), inverse( identity ) ) ) ] )
% 0.41/1.06 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 23, [ =( 'double_divide'( X, 'double_divide'( inverse( Y ), inverse(
% 0.41/1.06 inverse( X ) ) ) ), inverse( Y ) ) ] )
% 0.41/1.06 , clause( 160, [ =( 'double_divide'( X, 'double_divide'( inverse( Y ),
% 0.41/1.06 inverse( inverse( X ) ) ) ), inverse( Y ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 163, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.41/1.06 identity ) ) ) ] )
% 0.41/1.06 , clause( 12, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.41/1.06 identity ) ), Y ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 166, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'( Y,
% 0.41/1.06 'double_divide'( X, Z ) ), inverse( Z ) ) ), 'double_divide'(
% 0.41/1.06 'double_divide'( identity, 'double_divide'( Y, inverse( identity ) ) ),
% 0.41/1.06 inverse( identity ) ) ) ] )
% 0.41/1.06 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.41/1.06 identity ) ), Y ) ] )
% 0.41/1.06 , 0, clause( 163, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.41/1.06 'double_divide'( 'double_divide'( Y, inverse( X ) ), inverse( identity )
% 0.41/1.06 ) ), inverse( identity ) ) ) ] )
% 0.41/1.06 , 0, 15, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.06 substitution( 1, [ :=( X, identity ), :=( Y, 'double_divide'( X,
% 0.41/1.06 'double_divide'( 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse(
% 0.41/1.06 Z ) ) ) )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 167, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'( Y,
% 0.41/1.06 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse( Y ) ) ] )
% 0.41/1.06 , clause( 22, [ =( 'double_divide'( 'double_divide'( identity,
% 0.41/1.06 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ),
% 0.41/1.06 inverse( X ) ) ] )
% 0.41/1.06 , 0, clause( 166, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.41/1.06 Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), 'double_divide'(
% 0.41/1.06 'double_divide'( identity, 'double_divide'( Y, inverse( identity ) ) ),
% 0.41/1.06 inverse( identity ) ) ) ] )
% 0.41/1.06 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 24, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'( Y,
% 0.41/1.06 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse( Y ) ) ] )
% 0.41/1.06 , clause( 167, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'( Y
% 0.41/1.06 , 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse( Y ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 169, [ =( inverse( X ), 'double_divide'( 'double_divide'( identity
% 0.41/1.06 , 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 22, [ =( 'double_divide'( 'double_divide'( identity,
% 0.41/1.06 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ),
% 0.41/1.06 inverse( X ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 172, [ =( inverse( 'double_divide'( X, inverse( identity ) ) ), X )
% 0.41/1.06 ] )
% 0.41/1.06 , clause( 12, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.41/1.06 identity ) ), Y ) ] )
% 0.41/1.06 , 0, clause( 169, [ =( inverse( X ), 'double_divide'( 'double_divide'(
% 0.41/1.06 identity, 'double_divide'( X, inverse( identity ) ) ), inverse( identity
% 0.41/1.06 ) ) ) ] )
% 0.41/1.06 , 0, 6, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 0.41/1.06 1, [ :=( X, 'double_divide'( X, inverse( identity ) ) )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 176, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.41/1.06 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , 0, clause( 172, [ =( inverse( 'double_divide'( X, inverse( identity ) ) )
% 0.41/1.06 , X ) ] )
% 0.41/1.06 , 0, 1, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y, X )] ),
% 0.41/1.06 substitution( 1, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 36, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.41/1.06 , clause( 176, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 178, [ =( X, multiply( inverse( identity ), X ) ) ] )
% 0.41/1.06 , clause( 36, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 180, [ =( identity, inverse( identity ) ) ] )
% 0.41/1.06 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.41/1.06 , 0, clause( 178, [ =( X, multiply( inverse( identity ), X ) ) ] )
% 0.41/1.06 , 0, 2, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.41/1.06 identity )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 181, [ =( inverse( identity ), identity ) ] )
% 0.41/1.06 , clause( 180, [ =( identity, inverse( identity ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 43, [ =( inverse( identity ), identity ) ] )
% 0.41/1.06 , clause( 181, [ =( inverse( identity ), identity ) ] )
% 0.41/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 183, [ =( X, multiply( inverse( identity ), X ) ) ] )
% 0.41/1.06 , clause( 36, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 185, [ =( X, multiply( identity, X ) ) ] )
% 0.41/1.06 , clause( 43, [ =( inverse( identity ), identity ) ] )
% 0.41/1.06 , 0, clause( 183, [ =( X, multiply( inverse( identity ), X ) ) ] )
% 0.41/1.06 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 186, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.41/1.06 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.41/1.06 , 0, clause( 185, [ =( X, multiply( identity, X ) ) ] )
% 0.41/1.06 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.41/1.06 ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 187, [ =( inverse( inverse( X ) ), X ) ] )
% 0.41/1.06 , clause( 186, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 44, [ =( inverse( inverse( X ) ), X ) ] )
% 0.41/1.06 , clause( 187, [ =( inverse( inverse( X ) ), X ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 189, [ =( inverse( Y ), 'double_divide'( X, 'double_divide'(
% 0.41/1.06 inverse( Y ), inverse( inverse( X ) ) ) ) ) ] )
% 0.41/1.06 , clause( 23, [ =( 'double_divide'( X, 'double_divide'( inverse( Y ),
% 0.41/1.06 inverse( inverse( X ) ) ) ), inverse( Y ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 192, [ =( inverse( inverse( X ) ), 'double_divide'( Y,
% 0.41/1.06 'double_divide'( X, inverse( inverse( Y ) ) ) ) ) ] )
% 0.41/1.06 , clause( 44, [ =( inverse( inverse( X ) ), X ) ] )
% 0.41/1.06 , 0, clause( 189, [ =( inverse( Y ), 'double_divide'( X, 'double_divide'(
% 0.41/1.06 inverse( Y ), inverse( inverse( X ) ) ) ) ) ] )
% 0.41/1.06 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.41/1.06 :=( Y, inverse( X ) )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 199, [ =( inverse( inverse( X ) ), 'double_divide'( Y,
% 0.41/1.06 'double_divide'( X, Y ) ) ) ] )
% 0.41/1.06 , clause( 44, [ =( inverse( inverse( X ) ), X ) ] )
% 0.41/1.06 , 0, clause( 192, [ =( inverse( inverse( X ) ), 'double_divide'( Y,
% 0.41/1.06 'double_divide'( X, inverse( inverse( Y ) ) ) ) ) ] )
% 0.41/1.06 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 200, [ =( X, 'double_divide'( Y, 'double_divide'( X, Y ) ) ) ] )
% 0.41/1.06 , clause( 44, [ =( inverse( inverse( X ) ), X ) ] )
% 0.41/1.06 , 0, clause( 199, [ =( inverse( inverse( X ) ), 'double_divide'( Y,
% 0.41/1.06 'double_divide'( X, Y ) ) ) ] )
% 0.41/1.06 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 202, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.41/1.06 , clause( 200, [ =( X, 'double_divide'( Y, 'double_divide'( X, Y ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 55, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.41/1.06 , clause( 202, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 204, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ] )
% 0.41/1.06 , clause( 55, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 207, [ =( X, 'double_divide'( 'double_divide'( Y, X ), Y ) ) ] )
% 0.41/1.06 , clause( 55, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.41/1.06 , 0, clause( 204, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.41/1.06 :=( X, 'double_divide'( Y, X ) ), :=( Y, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 208, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.41/1.06 , clause( 207, [ =( X, 'double_divide'( 'double_divide'( Y, X ), Y ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 62, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.41/1.06 , clause( 208, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 210, [ =( inverse( Y ), 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ) ) ] )
% 0.41/1.06 , clause( 24, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'( Y
% 0.41/1.06 , 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse( Y ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 213, [ =( inverse( inverse( X ) ), 'double_divide'( Y,
% 0.41/1.06 'double_divide'( Y, X ) ) ) ] )
% 0.41/1.06 , clause( 62, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.41/1.06 , 0, clause( 210, [ =( inverse( Y ), 'double_divide'( X, 'double_divide'(
% 0.41/1.06 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ) ) ] )
% 0.41/1.06 , 0, 6, substitution( 0, [ :=( X, 'double_divide'( Y, X ) ), :=( Y, inverse(
% 0.41/1.06 X ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, inverse( X ) ), :=( Z, X
% 0.41/1.06 )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 216, [ =( X, 'double_divide'( Y, 'double_divide'( Y, X ) ) ) ] )
% 0.41/1.06 , clause( 44, [ =( inverse( inverse( X ) ), X ) ] )
% 0.41/1.06 , 0, clause( 213, [ =( inverse( inverse( X ) ), 'double_divide'( Y,
% 0.41/1.06 'double_divide'( Y, X ) ) ) ] )
% 0.41/1.06 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 217, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.41/1.06 , clause( 216, [ =( X, 'double_divide'( Y, 'double_divide'( Y, X ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 74, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.41/1.06 , clause( 217, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 219, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ] )
% 0.41/1.06 , clause( 62, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 222, [ =( 'double_divide'( X, Y ), 'double_divide'( Y, X ) ) ] )
% 0.41/1.06 , clause( 74, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.41/1.06 , 0, clause( 219, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.41/1.06 :=( X, X ), :=( Y, 'double_divide'( X, Y ) )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 80, [ =( 'double_divide'( Y, X ), 'double_divide'( X, Y ) ) ] )
% 0.41/1.06 , clause( 222, [ =( 'double_divide'( X, Y ), 'double_divide'( Y, X ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 223, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 225, [ =( multiply( X, Y ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 80, [ =( 'double_divide'( Y, X ), 'double_divide'( X, Y ) ) ] )
% 0.41/1.06 , 0, clause( 223, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.41/1.06 ) ] )
% 0.41/1.06 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.41/1.06 :=( X, Y ), :=( Y, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 227, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.41/1.06 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , 0, clause( 225, [ =( multiply( X, Y ), inverse( 'double_divide'( X, Y ) )
% 0.41/1.06 ) ] )
% 0.41/1.06 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.41/1.06 :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 89, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.41/1.06 , clause( 227, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 228, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.41/1.06 , clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 230, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.41/1.06 , clause( 89, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.41/1.06 , 0, clause( 228, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.41/1.06 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.41/1.06 ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqrefl(
% 0.41/1.06 clause( 233, [] )
% 0.41/1.06 , clause( 230, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 90, [] )
% 0.41/1.06 , clause( 233, [] )
% 0.41/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 end.
% 0.41/1.06
% 0.41/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06
% 0.41/1.06 Memory use:
% 0.41/1.06
% 0.41/1.06 space for terms: 1003
% 0.41/1.06 space for clauses: 9768
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 clauses generated: 584
% 0.41/1.06 clauses kept: 91
% 0.41/1.06 clauses selected: 31
% 0.41/1.06 clauses deleted: 8
% 0.41/1.06 clauses inuse deleted: 0
% 0.41/1.06
% 0.41/1.06 subsentry: 403
% 0.41/1.06 literals s-matched: 149
% 0.41/1.06 literals matched: 142
% 0.41/1.06 full subsumption: 0
% 0.41/1.06
% 0.41/1.06 checksum: -366654622
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Bliksem ended
%------------------------------------------------------------------------------