%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP574-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:37:42 EDT 2022
% Result : Unsatisfiable 0.70s 1.08s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP574-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Tue Jun 14 05:15:20 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.70/1.08 *** allocated 10000 integers for termspace/termends
% 0.70/1.08 *** allocated 10000 integers for clauses
% 0.70/1.08 *** allocated 10000 integers for justifications
% 0.70/1.08 Bliksem 1.12
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Automatic Strategy Selection
% 0.70/1.08
% 0.70/1.08 Clauses:
% 0.70/1.08 [
% 0.70/1.08 [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.70/1.08 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ],
% 0.70/1.08 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.70/1.08 identity ) ) ],
% 0.70/1.08 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.70/1.08 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.70/1.08 [ ~( =( multiply( identity, a2 ), a2 ) ) ]
% 0.70/1.08 ] .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.70/1.08 This is a pure equality problem
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Options Used:
% 0.70/1.08
% 0.70/1.08 useres = 1
% 0.70/1.08 useparamod = 1
% 0.70/1.08 useeqrefl = 1
% 0.70/1.08 useeqfact = 1
% 0.70/1.08 usefactor = 1
% 0.70/1.08 usesimpsplitting = 0
% 0.70/1.08 usesimpdemod = 5
% 0.70/1.08 usesimpres = 3
% 0.70/1.08
% 0.70/1.08 resimpinuse = 1000
% 0.70/1.08 resimpclauses = 20000
% 0.70/1.08 substype = eqrewr
% 0.70/1.08 backwardsubs = 1
% 0.70/1.08 selectoldest = 5
% 0.70/1.08
% 0.70/1.08 litorderings [0] = split
% 0.70/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.08
% 0.70/1.08 termordering = kbo
% 0.70/1.08
% 0.70/1.08 litapriori = 0
% 0.70/1.08 termapriori = 1
% 0.70/1.08 litaposteriori = 0
% 0.70/1.08 termaposteriori = 0
% 0.70/1.08 demodaposteriori = 0
% 0.70/1.08 ordereqreflfact = 0
% 0.70/1.08
% 0.70/1.08 litselect = negord
% 0.70/1.08
% 0.70/1.08 maxweight = 15
% 0.70/1.08 maxdepth = 30000
% 0.70/1.08 maxlength = 115
% 0.70/1.08 maxnrvars = 195
% 0.70/1.08 excuselevel = 1
% 0.70/1.08 increasemaxweight = 1
% 0.70/1.08
% 0.70/1.08 maxselected = 10000000
% 0.70/1.08 maxnrclauses = 10000000
% 0.70/1.08
% 0.70/1.08 showgenerated = 0
% 0.70/1.08 showkept = 0
% 0.70/1.08 showselected = 0
% 0.70/1.08 showdeleted = 0
% 0.70/1.08 showresimp = 1
% 0.70/1.08 showstatus = 2000
% 0.70/1.08
% 0.70/1.08 prologoutput = 1
% 0.70/1.08 nrgoals = 5000000
% 0.70/1.08 totalproof = 1
% 0.70/1.08
% 0.70/1.08 Symbols occurring in the translation:
% 0.70/1.08
% 0.70/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.08 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.08 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.70/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 'double_divide' [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.70/1.08 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.08 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.08 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.70/1.08 a2 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Starting Search:
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksems!, er is een bewijs:
% 0.70/1.08 % SZS status Unsatisfiable
% 0.70/1.08 % SZS output start Refutation
% 0.70/1.08
% 0.70/1.08 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.70/1.08 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.70/1.08 multiply( X, Y ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.70/1.08 identity ) ), Y ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 13, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.70/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ), Y
% 0.70/1.08 ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 17, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.70/1.08 inverse( identity ) ), X ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 18, [ =( 'double_divide'( 'double_divide'( inverse( identity ), X )
% 0.70/1.08 , inverse( identity ) ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 22, [ =( multiply( inverse( identity ), inverse( inverse( inverse(
% 0.70/1.08 X ) ) ) ), inverse( X ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 32, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.70/1.08 identity ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 34, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 35, [ =( multiply( inverse( identity ), inverse( identity ) ),
% 0.70/1.08 inverse( identity ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 36, [ =( inverse( identity ), identity ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 39, [ =( multiply( multiply( 'double_divide'( identity, X ), Y ), X
% 0.70/1.08 ), Y ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 40, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 44, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 54, [ =( multiply( X, inverse( inverse( inverse( X ) ) ) ),
% 0.70/1.08 identity ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 63, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 66, [] )
% 0.70/1.08 .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 % SZS output end Refutation
% 0.70/1.08 found a proof!
% 0.70/1.08
% 0.70/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.08
% 0.70/1.08 initialclauses(
% 0.70/1.08 [ clause( 68, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.70/1.08 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.70/1.08 , clause( 69, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.70/1.08 ), identity ) ) ] )
% 0.70/1.08 , clause( 70, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.70/1.08 , clause( 71, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.70/1.08 , clause( 72, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.70/1.08 ] ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.70/1.08 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.70/1.08 , clause( 68, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.70/1.08 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 75, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.70/1.08 multiply( X, Y ) ) ] )
% 0.70/1.08 , clause( 69, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.70/1.08 ), identity ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.70/1.08 multiply( X, Y ) ) ] )
% 0.70/1.08 , clause( 75, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.70/1.08 multiply( X, Y ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 78, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.70/1.08 , clause( 70, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.70/1.08 , clause( 78, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 82, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.70/1.08 , clause( 71, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.70/1.08 , clause( 82, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.70/1.08 , clause( 72, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 90, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.70/1.08 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.70/1.08 multiply( X, Y ) ) ] )
% 0.70/1.08 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.70/1.08 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.70/1.08 , clause( 90, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 93, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 96, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.70/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.70/1.08 , 0, clause( 93, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.70/1.08 ) ] )
% 0.70/1.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.08 :=( Y, inverse( X ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.70/1.08 , clause( 96, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 99, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 102, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.70/1.08 , 0, clause( 99, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.70/1.08 ) ] )
% 0.70/1.08 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.08 :=( Y, identity )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , clause( 102, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 108, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.70/1.08 identity ) ) ), inverse( identity ) ), Y ) ] )
% 0.70/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.70/1.08 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.70/1.08 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.70/1.08 , 0, 13, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.70/1.08 , X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 110, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.70/1.08 identity ) ), Y ) ] )
% 0.70/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.70/1.08 , 0, clause( 108, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), 'double_divide'( Z,
% 0.70/1.08 identity ) ) ), inverse( identity ) ), Y ) ] )
% 0.70/1.08 , 0, 10, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.08 :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.70/1.08 identity ) ), Y ) ] )
% 0.70/1.08 , clause( 110, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.70/1.08 identity ) ), Y ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 113, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.70/1.08 , clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 114, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.70/1.08 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , 0, clause( 113, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.70/1.08 , 0, 3, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 115, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.70/1.08 , clause( 114, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.70/1.08 , clause( 115, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 117, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.70/1.08 identity ) ) ) ] )
% 0.70/1.08 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.70/1.08 identity ) ), Y ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 119, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ),
% 0.70/1.08 'double_divide'( 'double_divide'( X, identity ), inverse( Y ) ) ),
% 0.70/1.08 inverse( identity ) ) ) ] )
% 0.70/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.70/1.08 , 0, clause( 117, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.70/1.08 'double_divide'( 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse(
% 0.70/1.08 Z ) ) ), inverse( identity ) ) ) ] )
% 0.70/1.08 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse(
% 0.70/1.08 Y ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 120, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ),
% 0.70/1.08 'double_divide'( inverse( X ), inverse( Y ) ) ), inverse( identity ) ) )
% 0.70/1.08 ] )
% 0.70/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.70/1.08 , 0, clause( 119, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ),
% 0.70/1.08 'double_divide'( 'double_divide'( X, identity ), inverse( Y ) ) ),
% 0.70/1.08 inverse( identity ) ) ) ] )
% 0.70/1.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.08 :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 121, [ =( 'double_divide'( 'double_divide'( inverse( Y ),
% 0.70/1.08 'double_divide'( inverse( X ), inverse( Y ) ) ), inverse( identity ) ), X
% 0.70/1.08 ) ] )
% 0.70/1.08 , clause( 120, [ =( X, 'double_divide'( 'double_divide'( inverse( Y ),
% 0.70/1.08 'double_divide'( inverse( X ), inverse( Y ) ) ), inverse( identity ) ) )
% 0.70/1.08 ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 13, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.70/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ), Y
% 0.70/1.08 ) ] )
% 0.70/1.08 , clause( 121, [ =( 'double_divide'( 'double_divide'( inverse( Y ),
% 0.70/1.08 'double_divide'( inverse( X ), inverse( Y ) ) ), inverse( identity ) ), X
% 0.70/1.08 ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 123, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.70/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ) )
% 0.70/1.08 ] )
% 0.70/1.08 , clause( 13, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.70/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ), Y
% 0.70/1.08 ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 125, [ =( X, 'double_divide'( 'double_divide'( inverse( inverse( X
% 0.70/1.08 ) ), identity ), inverse( identity ) ) ) ] )
% 0.70/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.70/1.08 , 0, clause( 123, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.70/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ) )
% 0.70/1.08 ] )
% 0.70/1.08 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.70/1.08 :=( X, inverse( X ) ), :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 126, [ =( X, 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.70/1.08 inverse( identity ) ) ) ] )
% 0.70/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.70/1.08 , 0, clause( 125, [ =( X, 'double_divide'( 'double_divide'( inverse(
% 0.70/1.08 inverse( X ) ), identity ), inverse( identity ) ) ) ] )
% 0.70/1.08 , 0, 3, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.70/1.08 substitution( 1, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 127, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.70/1.08 inverse( identity ) ), X ) ] )
% 0.70/1.08 , clause( 126, [ =( X, 'double_divide'( inverse( inverse( inverse( X ) ) )
% 0.70/1.08 , inverse( identity ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 17, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.70/1.08 inverse( identity ) ), X ) ] )
% 0.70/1.08 , clause( 127, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.70/1.08 inverse( identity ) ), X ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 129, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.70/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ) )
% 0.70/1.08 ] )
% 0.70/1.08 , clause( 13, [ =( 'double_divide'( 'double_divide'( inverse( X ),
% 0.70/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ), Y
% 0.70/1.08 ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 130, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.70/1.08 inverse( identity ), X ), inverse( identity ) ) ) ] )
% 0.70/1.08 , clause( 17, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.70/1.08 inverse( identity ) ), X ) ] )
% 0.70/1.08 , 0, clause( 129, [ =( Y, 'double_divide'( 'double_divide'( inverse( X ),
% 0.70/1.08 'double_divide'( inverse( Y ), inverse( X ) ) ), inverse( identity ) ) )
% 0.70/1.08 ] )
% 0.70/1.08 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.70/1.08 identity ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 131, [ =( 'double_divide'( 'double_divide'( inverse( identity ), X
% 0.70/1.08 ), inverse( identity ) ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , clause( 130, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.70/1.08 'double_divide'( inverse( identity ), X ), inverse( identity ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 18, [ =( 'double_divide'( 'double_divide'( inverse( identity ), X )
% 0.70/1.08 , inverse( identity ) ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , clause( 131, [ =( 'double_divide'( 'double_divide'( inverse( identity ),
% 0.70/1.08 X ), inverse( identity ) ), inverse( inverse( X ) ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 133, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.70/1.08 )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 136, [ =( multiply( inverse( identity ), inverse( inverse( inverse(
% 0.70/1.08 X ) ) ) ), inverse( X ) ) ] )
% 0.70/1.08 , clause( 17, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.70/1.08 inverse( identity ) ), X ) ] )
% 0.70/1.08 , 0, clause( 133, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.70/1.08 ) ] )
% 0.70/1.08 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.70/1.08 inverse( inverse( X ) ) ) ), :=( Y, inverse( identity ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 22, [ =( multiply( inverse( identity ), inverse( inverse( inverse(
% 0.70/1.08 X ) ) ) ), inverse( X ) ) ] )
% 0.70/1.08 , clause( 136, [ =( multiply( inverse( identity ), inverse( inverse(
% 0.70/1.08 inverse( X ) ) ) ), inverse( X ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 139, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.70/1.09 inverse( identity ), X ), inverse( identity ) ) ) ] )
% 0.70/1.09 , clause( 18, [ =( 'double_divide'( 'double_divide'( inverse( identity ), X
% 0.70/1.09 ), inverse( identity ) ), inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 141, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.70/1.09 'double_divide'( identity, inverse( identity ) ) ) ] )
% 0.70/1.09 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.70/1.09 , 0, clause( 139, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.70/1.09 'double_divide'( inverse( identity ), X ), inverse( identity ) ) ) ] )
% 0.70/1.09 , 0, 7, substitution( 0, [ :=( X, inverse( identity ) )] ), substitution( 1
% 0.70/1.09 , [ :=( X, inverse( inverse( identity ) ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 143, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.70/1.09 identity ) ] )
% 0.70/1.09 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.70/1.09 , 0, clause( 141, [ =( inverse( inverse( inverse( inverse( identity ) ) ) )
% 0.70/1.09 , 'double_divide'( identity, inverse( identity ) ) ) ] )
% 0.70/1.09 , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 32, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.70/1.09 identity ) ] )
% 0.70/1.09 , clause( 143, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.70/1.09 identity ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 146, [ =( inverse( X ), multiply( inverse( identity ), inverse(
% 0.70/1.09 inverse( inverse( X ) ) ) ) ) ] )
% 0.70/1.09 , clause( 22, [ =( multiply( inverse( identity ), inverse( inverse( inverse(
% 0.70/1.09 X ) ) ) ), inverse( X ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 150, [ =( inverse( inverse( identity ) ), multiply( inverse(
% 0.70/1.09 identity ), identity ) ) ] )
% 0.70/1.09 , clause( 32, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.70/1.09 identity ) ] )
% 0.70/1.09 , 0, clause( 146, [ =( inverse( X ), multiply( inverse( identity ), inverse(
% 0.70/1.09 inverse( inverse( X ) ) ) ) ) ] )
% 0.70/1.09 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( identity
% 0.70/1.09 ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 153, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.70/1.09 , 0, clause( 150, [ =( inverse( inverse( identity ) ), multiply( inverse(
% 0.70/1.09 identity ), identity ) ) ] )
% 0.70/1.09 , 0, 4, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 34, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ] )
% 0.70/1.09 , clause( 153, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 156, [ =( inverse( X ), multiply( inverse( identity ), inverse(
% 0.70/1.09 inverse( inverse( X ) ) ) ) ) ] )
% 0.70/1.09 , clause( 22, [ =( multiply( inverse( identity ), inverse( inverse( inverse(
% 0.70/1.09 X ) ) ) ), inverse( X ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 162, [ =( inverse( inverse( inverse( identity ) ) ), multiply(
% 0.70/1.09 inverse( identity ), inverse( identity ) ) ) ] )
% 0.70/1.09 , clause( 32, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.70/1.09 identity ) ] )
% 0.70/1.09 , 0, clause( 156, [ =( inverse( X ), multiply( inverse( identity ), inverse(
% 0.70/1.09 inverse( inverse( X ) ) ) ) ) ] )
% 0.70/1.09 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( inverse(
% 0.70/1.09 identity ) ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 164, [ =( inverse( inverse( identity ) ), multiply( inverse(
% 0.70/1.09 identity ), inverse( identity ) ) ) ] )
% 0.70/1.09 , clause( 34, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , 0, clause( 162, [ =( inverse( inverse( inverse( identity ) ) ), multiply(
% 0.70/1.09 inverse( identity ), inverse( identity ) ) ) ] )
% 0.70/1.09 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 166, [ =( inverse( identity ), multiply( inverse( identity ),
% 0.70/1.09 inverse( identity ) ) ) ] )
% 0.70/1.09 , clause( 34, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , 0, clause( 164, [ =( inverse( inverse( identity ) ), multiply( inverse(
% 0.70/1.09 identity ), inverse( identity ) ) ) ] )
% 0.70/1.09 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 167, [ =( multiply( inverse( identity ), inverse( identity ) ),
% 0.70/1.09 inverse( identity ) ) ] )
% 0.70/1.09 , clause( 166, [ =( inverse( identity ), multiply( inverse( identity ),
% 0.70/1.09 inverse( identity ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 35, [ =( multiply( inverse( identity ), inverse( identity ) ),
% 0.70/1.09 inverse( identity ) ) ] )
% 0.70/1.09 , clause( 167, [ =( multiply( inverse( identity ), inverse( identity ) ),
% 0.70/1.09 inverse( identity ) ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 169, [ =( inverse( X ), multiply( inverse( identity ), inverse(
% 0.70/1.09 inverse( inverse( X ) ) ) ) ) ] )
% 0.70/1.09 , clause( 22, [ =( multiply( inverse( identity ), inverse( inverse( inverse(
% 0.70/1.09 X ) ) ) ), inverse( X ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 173, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.70/1.09 multiply( inverse( identity ), inverse( inverse( identity ) ) ) ) ] )
% 0.70/1.09 , clause( 32, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.70/1.09 identity ) ] )
% 0.70/1.09 , 0, clause( 169, [ =( inverse( X ), multiply( inverse( identity ), inverse(
% 0.70/1.09 inverse( inverse( X ) ) ) ) ) ] )
% 0.70/1.09 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( inverse(
% 0.70/1.09 inverse( identity ) ) ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 176, [ =( identity, multiply( inverse( identity ), inverse( inverse(
% 0.70/1.09 identity ) ) ) ) ] )
% 0.70/1.09 , clause( 32, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.70/1.09 identity ) ] )
% 0.70/1.09 , 0, clause( 173, [ =( inverse( inverse( inverse( inverse( identity ) ) ) )
% 0.70/1.09 , multiply( inverse( identity ), inverse( inverse( identity ) ) ) ) ] )
% 0.70/1.09 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 197, [ =( identity, multiply( inverse( identity ), inverse(
% 0.70/1.09 identity ) ) ) ] )
% 0.70/1.09 , clause( 34, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , 0, clause( 176, [ =( identity, multiply( inverse( identity ), inverse(
% 0.70/1.09 inverse( identity ) ) ) ) ] )
% 0.70/1.09 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 198, [ =( identity, inverse( identity ) ) ] )
% 0.70/1.09 , clause( 35, [ =( multiply( inverse( identity ), inverse( identity ) ),
% 0.70/1.09 inverse( identity ) ) ] )
% 0.70/1.09 , 0, clause( 197, [ =( identity, multiply( inverse( identity ), inverse(
% 0.70/1.09 identity ) ) ) ] )
% 0.70/1.09 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 199, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 , clause( 198, [ =( identity, inverse( identity ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 36, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 , clause( 199, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 201, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.09 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.70/1.09 identity ) ) ) ] )
% 0.70/1.09 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.70/1.09 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse( Z ) ) ), inverse(
% 0.70/1.09 identity ) ), Y ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 209, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.70/1.09 'double_divide'( X, 'double_divide'( inverse( inverse( inverse( identity
% 0.70/1.09 ) ) ), Y ) ), identity ) ), inverse( identity ) ) ) ] )
% 0.70/1.09 , clause( 32, [ =( inverse( inverse( inverse( inverse( identity ) ) ) ),
% 0.70/1.09 identity ) ] )
% 0.70/1.09 , 0, clause( 201, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.70/1.09 'double_divide'( 'double_divide'( Y, 'double_divide'( Z, X ) ), inverse(
% 0.70/1.09 Z ) ) ), inverse( identity ) ) ) ] )
% 0.70/1.09 , 0, 14, substitution( 0, [] ), substitution( 1, [ :=( X, Y ), :=( Y, X ),
% 0.70/1.09 :=( Z, inverse( inverse( inverse( identity ) ) ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 210, [ =( X, 'double_divide'( 'double_divide'( Y, inverse(
% 0.70/1.09 'double_divide'( X, 'double_divide'( inverse( inverse( inverse( identity
% 0.70/1.09 ) ) ), Y ) ) ) ), inverse( identity ) ) ) ] )
% 0.70/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.70/1.09 , 0, clause( 209, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.70/1.09 'double_divide'( 'double_divide'( X, 'double_divide'( inverse( inverse(
% 0.70/1.09 inverse( identity ) ) ), Y ) ), identity ) ), inverse( identity ) ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( X, 'double_divide'(
% 0.70/1.09 inverse( inverse( inverse( identity ) ) ), Y ) ) )] ), substitution( 1, [
% 0.70/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 211, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.70/1.09 'double_divide'( inverse( inverse( inverse( identity ) ) ), Y ), X ) ),
% 0.70/1.09 inverse( identity ) ) ) ] )
% 0.70/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , 0, clause( 210, [ =( X, 'double_divide'( 'double_divide'( Y, inverse(
% 0.70/1.09 'double_divide'( X, 'double_divide'( inverse( inverse( inverse( identity
% 0.70/1.09 ) ) ), Y ) ) ) ), inverse( identity ) ) ) ] )
% 0.70/1.09 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( inverse( inverse(
% 0.70/1.09 inverse( identity ) ) ), Y ) ), :=( Y, X )] ), substitution( 1, [ :=( X,
% 0.70/1.09 X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 212, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.70/1.09 'double_divide'( inverse( inverse( identity ) ), Y ), X ) ), inverse(
% 0.70/1.09 identity ) ) ) ] )
% 0.70/1.09 , clause( 34, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , 0, clause( 211, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.70/1.09 'double_divide'( inverse( inverse( inverse( identity ) ) ), Y ), X ) ),
% 0.70/1.09 inverse( identity ) ) ) ] )
% 0.70/1.09 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 214, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.70/1.09 'double_divide'( inverse( identity ), Y ), X ) ), inverse( identity ) ) )
% 0.70/1.09 ] )
% 0.70/1.09 , clause( 34, [ =( inverse( inverse( identity ) ), inverse( identity ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , 0, clause( 212, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.70/1.09 'double_divide'( inverse( inverse( identity ) ), Y ), X ) ), inverse(
% 0.70/1.09 identity ) ) ) ] )
% 0.70/1.09 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 216, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.70/1.09 'double_divide'( inverse( identity ), Y ), X ) ), identity ) ) ] )
% 0.70/1.09 , clause( 36, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 , 0, clause( 214, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.70/1.09 'double_divide'( inverse( identity ), Y ), X ) ), inverse( identity ) ) )
% 0.70/1.09 ] )
% 0.70/1.09 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 217, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.70/1.09 'double_divide'( identity, Y ), X ) ), identity ) ) ] )
% 0.70/1.09 , clause( 36, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 , 0, clause( 216, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.70/1.09 'double_divide'( inverse( identity ), Y ), X ) ), identity ) ) ] )
% 0.70/1.09 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 221, [ =( X, inverse( 'double_divide'( Y, multiply( 'double_divide'(
% 0.70/1.09 identity, Y ), X ) ) ) ) ] )
% 0.70/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.70/1.09 , 0, clause( 217, [ =( X, 'double_divide'( 'double_divide'( Y, multiply(
% 0.70/1.09 'double_divide'( identity, Y ), X ) ), identity ) ) ] )
% 0.70/1.09 , 0, 2, substitution( 0, [ :=( X, 'double_divide'( Y, multiply(
% 0.70/1.09 'double_divide'( identity, Y ), X ) ) )] ), substitution( 1, [ :=( X, X )
% 0.70/1.09 , :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 222, [ =( X, multiply( multiply( 'double_divide'( identity, Y ), X
% 0.70/1.09 ), Y ) ) ] )
% 0.70/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , 0, clause( 221, [ =( X, inverse( 'double_divide'( Y, multiply(
% 0.70/1.09 'double_divide'( identity, Y ), X ) ) ) ) ] )
% 0.70/1.09 , 0, 2, substitution( 0, [ :=( X, multiply( 'double_divide'( identity, Y )
% 0.70/1.09 , X ) ), :=( Y, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 223, [ =( multiply( multiply( 'double_divide'( identity, Y ), X ),
% 0.70/1.09 Y ), X ) ] )
% 0.70/1.09 , clause( 222, [ =( X, multiply( multiply( 'double_divide'( identity, Y ),
% 0.70/1.09 X ), Y ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 39, [ =( multiply( multiply( 'double_divide'( identity, X ), Y ), X
% 0.70/1.09 ), Y ) ] )
% 0.70/1.09 , clause( 223, [ =( multiply( multiply( 'double_divide'( identity, Y ), X )
% 0.70/1.09 , Y ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 225, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.70/1.09 inverse( identity ), X ), inverse( identity ) ) ) ] )
% 0.70/1.09 , clause( 18, [ =( 'double_divide'( 'double_divide'( inverse( identity ), X
% 0.70/1.09 ), inverse( identity ) ), inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 232, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.70/1.09 inverse( identity ), X ), identity ) ) ] )
% 0.70/1.09 , clause( 36, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 , 0, clause( 225, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.70/1.09 'double_divide'( inverse( identity ), X ), inverse( identity ) ) ) ] )
% 0.70/1.09 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 233, [ =( inverse( inverse( X ) ), 'double_divide'( 'double_divide'(
% 0.70/1.09 identity, X ), identity ) ) ] )
% 0.70/1.09 , clause( 36, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 , 0, clause( 232, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.70/1.09 'double_divide'( inverse( identity ), X ), identity ) ) ] )
% 0.70/1.09 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 243, [ =( inverse( inverse( X ) ), inverse( 'double_divide'(
% 0.70/1.09 identity, X ) ) ) ] )
% 0.70/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.70/1.09 , 0, clause( 233, [ =( inverse( inverse( X ) ), 'double_divide'(
% 0.70/1.09 'double_divide'( identity, X ), identity ) ) ] )
% 0.70/1.09 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( identity, X ) )] ),
% 0.70/1.09 substitution( 1, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 244, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.70/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , 0, clause( 243, [ =( inverse( inverse( X ) ), inverse( 'double_divide'(
% 0.70/1.09 identity, X ) ) ) ] )
% 0.70/1.09 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.70/1.09 1, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 245, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , clause( 244, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 40, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , clause( 245, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 247, [ =( X, 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.70/1.09 inverse( identity ) ) ) ] )
% 0.70/1.09 , clause( 17, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.70/1.09 inverse( identity ) ), X ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 251, [ =( X, 'double_divide'( inverse( inverse( inverse( X ) ) ),
% 0.70/1.09 identity ) ) ] )
% 0.70/1.09 , clause( 36, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 , 0, clause( 247, [ =( X, 'double_divide'( inverse( inverse( inverse( X ) )
% 0.70/1.09 ), inverse( identity ) ) ) ] )
% 0.70/1.09 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 257, [ =( X, inverse( inverse( inverse( inverse( X ) ) ) ) ) ] )
% 0.70/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.70/1.09 , 0, clause( 251, [ =( X, 'double_divide'( inverse( inverse( inverse( X ) )
% 0.70/1.09 ), identity ) ) ] )
% 0.70/1.09 , 0, 2, substitution( 0, [ :=( X, inverse( inverse( inverse( X ) ) ) )] ),
% 0.70/1.09 substitution( 1, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 258, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.70/1.09 , clause( 257, [ =( X, inverse( inverse( inverse( inverse( X ) ) ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 44, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.70/1.09 , clause( 258, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 260, [ =( inverse( identity ), multiply( inverse( X ), X ) ) ] )
% 0.70/1.09 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 262, [ =( inverse( identity ), multiply( X, inverse( inverse(
% 0.70/1.09 inverse( X ) ) ) ) ) ] )
% 0.70/1.09 , clause( 44, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.70/1.09 , 0, clause( 260, [ =( inverse( identity ), multiply( inverse( X ), X ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.70/1.09 inverse( inverse( X ) ) ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 263, [ =( identity, multiply( X, inverse( inverse( inverse( X ) ) )
% 0.70/1.09 ) ) ] )
% 0.70/1.09 , clause( 36, [ =( inverse( identity ), identity ) ] )
% 0.70/1.09 , 0, clause( 262, [ =( inverse( identity ), multiply( X, inverse( inverse(
% 0.70/1.09 inverse( X ) ) ) ) ) ] )
% 0.70/1.09 , 0, 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 264, [ =( multiply( X, inverse( inverse( inverse( X ) ) ) ),
% 0.70/1.09 identity ) ] )
% 0.70/1.09 , clause( 263, [ =( identity, multiply( X, inverse( inverse( inverse( X ) )
% 0.70/1.09 ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 54, [ =( multiply( X, inverse( inverse( inverse( X ) ) ) ),
% 0.70/1.09 identity ) ] )
% 0.70/1.09 , clause( 264, [ =( multiply( X, inverse( inverse( inverse( X ) ) ) ),
% 0.70/1.09 identity ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 266, [ =( Y, multiply( multiply( 'double_divide'( identity, X ), Y
% 0.70/1.09 ), X ) ) ] )
% 0.70/1.09 , clause( 39, [ =( multiply( multiply( 'double_divide'( identity, X ), Y )
% 0.70/1.09 , X ), Y ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 271, [ =( inverse( inverse( inverse( 'double_divide'( identity, X )
% 0.70/1.09 ) ) ), multiply( identity, X ) ) ] )
% 0.70/1.09 , clause( 54, [ =( multiply( X, inverse( inverse( inverse( X ) ) ) ),
% 0.70/1.09 identity ) ] )
% 0.70/1.09 , 0, clause( 266, [ =( Y, multiply( multiply( 'double_divide'( identity, X
% 0.70/1.09 ), Y ), X ) ) ] )
% 0.70/1.09 , 0, 8, substitution( 0, [ :=( X, 'double_divide'( identity, X ) )] ),
% 0.70/1.09 substitution( 1, [ :=( X, X ), :=( Y, inverse( inverse( inverse(
% 0.70/1.09 'double_divide'( identity, X ) ) ) ) )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 272, [ =( inverse( inverse( inverse( 'double_divide'( identity, X )
% 0.70/1.09 ) ) ), inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , 0, clause( 271, [ =( inverse( inverse( inverse( 'double_divide'( identity
% 0.70/1.09 , X ) ) ) ), multiply( identity, X ) ) ] )
% 0.70/1.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 273, [ =( inverse( inverse( multiply( X, identity ) ) ), inverse(
% 0.70/1.09 inverse( X ) ) ) ] )
% 0.70/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.70/1.09 )
% 0.70/1.09 , 0, clause( 272, [ =( inverse( inverse( inverse( 'double_divide'( identity
% 0.70/1.09 , X ) ) ) ), inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.70/1.09 1, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 274, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), inverse(
% 0.70/1.09 inverse( X ) ) ) ] )
% 0.70/1.09 , clause( 40, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , 0, clause( 273, [ =( inverse( inverse( multiply( X, identity ) ) ),
% 0.70/1.09 inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 275, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , clause( 44, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.70/1.09 , 0, clause( 274, [ =( inverse( inverse( inverse( inverse( X ) ) ) ),
% 0.70/1.09 inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.70/1.09 ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 276, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , clause( 275, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 63, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , clause( 276, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 277, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , clause( 63, [ =( inverse( inverse( X ) ), X ) ] )
% 0.70/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 278, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.70/1.09 , clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 279, [] )
% 0.70/1.09 , clause( 278, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.70/1.09 , 0, clause( 277, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a2 )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 66, [] )
% 0.70/1.09 , clause( 279, [] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 end.
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 Memory use:
% 0.70/1.09
% 0.70/1.09 space for terms: 786
% 0.70/1.09 space for clauses: 7654
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 clauses generated: 250
% 0.70/1.09 clauses kept: 67
% 0.70/1.09 clauses selected: 24
% 0.70/1.09 clauses deleted: 9
% 0.70/1.09 clauses inuse deleted: 0
% 0.70/1.09
% 0.70/1.09 subsentry: 697
% 0.70/1.09 literals s-matched: 180
% 0.70/1.09 literals matched: 180
% 0.70/1.09 full subsumption: 0
% 0.70/1.09
% 0.70/1.09 checksum: 1333379660
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksem ended
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