TSTP Solution File: GRP602-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP602-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 07:37:50 EDT 2022
% Result : Unsatisfiable 0.72s 1.09s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP602-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jun 13 23:02:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.72/1.09 *** allocated 10000 integers for termspace/termends
% 0.72/1.09 *** allocated 10000 integers for clauses
% 0.72/1.09 *** allocated 10000 integers for justifications
% 0.72/1.09 Bliksem 1.12
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Automatic Strategy Selection
% 0.72/1.09
% 0.72/1.09 Clauses:
% 0.72/1.09 [
% 0.72/1.09 [ =( inverse( 'double_divide'( inverse( 'double_divide'( X, inverse(
% 0.72/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ) ) ) ), Z ) ), Y ) ],
% 0.72/1.09 [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) ) ],
% 0.72/1.09 [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.72/1.09 ] .
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.09 This is a pure equality problem
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Options Used:
% 0.72/1.09
% 0.72/1.09 useres = 1
% 0.72/1.09 useparamod = 1
% 0.72/1.09 useeqrefl = 1
% 0.72/1.09 useeqfact = 1
% 0.72/1.09 usefactor = 1
% 0.72/1.09 usesimpsplitting = 0
% 0.72/1.09 usesimpdemod = 5
% 0.72/1.09 usesimpres = 3
% 0.72/1.09
% 0.72/1.09 resimpinuse = 1000
% 0.72/1.09 resimpclauses = 20000
% 0.72/1.09 substype = eqrewr
% 0.72/1.09 backwardsubs = 1
% 0.72/1.09 selectoldest = 5
% 0.72/1.09
% 0.72/1.09 litorderings [0] = split
% 0.72/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.09
% 0.72/1.09 termordering = kbo
% 0.72/1.09
% 0.72/1.09 litapriori = 0
% 0.72/1.09 termapriori = 1
% 0.72/1.09 litaposteriori = 0
% 0.72/1.09 termaposteriori = 0
% 0.72/1.09 demodaposteriori = 0
% 0.72/1.09 ordereqreflfact = 0
% 0.72/1.09
% 0.72/1.09 litselect = negord
% 0.72/1.09
% 0.72/1.09 maxweight = 15
% 0.72/1.09 maxdepth = 30000
% 0.72/1.09 maxlength = 115
% 0.72/1.09 maxnrvars = 195
% 0.72/1.09 excuselevel = 1
% 0.72/1.09 increasemaxweight = 1
% 0.72/1.09
% 0.72/1.09 maxselected = 10000000
% 0.72/1.09 maxnrclauses = 10000000
% 0.72/1.09
% 0.72/1.09 showgenerated = 0
% 0.72/1.09 showkept = 0
% 0.72/1.09 showselected = 0
% 0.72/1.09 showdeleted = 0
% 0.72/1.09 showresimp = 1
% 0.72/1.09 showstatus = 2000
% 0.72/1.09
% 0.72/1.09 prologoutput = 1
% 0.72/1.09 nrgoals = 5000000
% 0.72/1.09 totalproof = 1
% 0.72/1.09
% 0.72/1.09 Symbols occurring in the translation:
% 0.72/1.09
% 0.72/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.09 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.09 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.72/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 'double_divide' [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.09 inverse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.09 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.09 b2 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.09 a2 [46, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Starting Search:
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Bliksems!, er is een bewijs:
% 0.72/1.09 % SZS status Unsatisfiable
% 0.72/1.09 % SZS output start Refutation
% 0.72/1.09
% 0.72/1.09 clause( 0, [ =( inverse( 'double_divide'( inverse( 'double_divide'( X,
% 0.72/1.09 inverse( 'double_divide'( Y, 'double_divide'( X, Z ) ) ) ) ), Z ) ), Y )
% 0.72/1.09 ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 2, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.72/1.09 )
% 0.72/1.09 .
% 0.72/1.09 clause( 3, [ =( multiply( Z, multiply( multiply( 'double_divide'( X, Z ), Y
% 0.72/1.09 ), X ) ), Y ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 4, [ =( multiply( multiply( 'double_divide'( Z, 'double_divide'( X
% 0.72/1.09 , Y ) ), T ), Z ), multiply( Y, multiply( T, X ) ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply( T
% 0.72/1.09 , Y ) ) ), T ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 6, [ =( multiply( 'double_divide'( multiply( Z, X ),
% 0.72/1.09 'double_divide'( X, Y ) ), Z ), Y ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 7, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X ) )
% 0.72/1.09 , T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 11, [ =( multiply( 'double_divide'( X, T ), multiply( T, Z ) ),
% 0.72/1.09 'double_divide'( multiply( X, Y ), 'double_divide'( Y, Z ) ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 18, [ =( 'double_divide'( multiply( X, T ), 'double_divide'( T,
% 0.72/1.09 multiply( Z, X ) ) ), Z ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 33, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ), multiply(
% 0.72/1.09 X, Y ) ), inverse( Z ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 35, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply( X
% 0.72/1.09 , Y ), Z ), X ) ), Z ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 48, [ =( multiply( 'double_divide'( X, 'double_divide'( X, multiply(
% 0.72/1.09 Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 52, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply( X
% 0.72/1.09 , Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 57, [ =( 'double_divide'( Y, multiply( 'double_divide'( Y, Z ),
% 0.72/1.09 inverse( X ) ) ), multiply( X, Z ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 62, [ =( multiply( Y, 'double_divide'( X, multiply( Y, Z ) ) ),
% 0.72/1.09 'double_divide'( X, Z ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 71, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.72/1.09 'double_divide'( X, Y ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 89, [ =( inverse( multiply( X, Y ) ), 'double_divide'( Y, X ) ) ]
% 0.72/1.09 )
% 0.72/1.09 .
% 0.72/1.09 clause( 91, [ =( multiply( 'double_divide'( inverse( Y ), T ), T ), Y ) ]
% 0.72/1.09 )
% 0.72/1.09 .
% 0.72/1.09 clause( 92, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 111, [ =( multiply( multiply( Y, Z ), inverse( Y ) ), Z ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 120, [ =( multiply( Y, multiply( Z, X ) ), multiply( multiply( Y, Z
% 0.72/1.09 ), X ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 122, [ =( multiply( Y, 'double_divide'( Y, X ) ), inverse( X ) ) ]
% 0.72/1.09 )
% 0.72/1.09 .
% 0.72/1.09 clause( 132, [ =( multiply( multiply( 'double_divide'( Y, Z ), X ), Y ),
% 0.72/1.09 'double_divide'( inverse( X ), Z ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 143, [ =( multiply( Z, inverse( X ) ), 'double_divide'( inverse( Z
% 0.72/1.09 ), X ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 146, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 186, [] )
% 0.72/1.09 .
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 % SZS output end Refutation
% 0.72/1.09 found a proof!
% 0.72/1.09
% 0.72/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.09
% 0.72/1.09 initialclauses(
% 0.72/1.09 [ clause( 188, [ =( inverse( 'double_divide'( inverse( 'double_divide'( X,
% 0.72/1.09 inverse( 'double_divide'( Y, 'double_divide'( X, Z ) ) ) ) ), Z ) ), Y )
% 0.72/1.09 ] )
% 0.72/1.09 , clause( 189, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , clause( 190, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 0.72/1.09 ) ] )
% 0.72/1.09 ] ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 0, [ =( inverse( 'double_divide'( inverse( 'double_divide'( X,
% 0.72/1.09 inverse( 'double_divide'( Y, 'double_divide'( X, Z ) ) ) ) ), Z ) ), Y )
% 0.72/1.09 ] )
% 0.72/1.09 , clause( 188, [ =( inverse( 'double_divide'( inverse( 'double_divide'( X,
% 0.72/1.09 inverse( 'double_divide'( Y, 'double_divide'( X, Z ) ) ) ) ), Z ) ), Y )
% 0.72/1.09 ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 193, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 189, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.72/1.09 , clause( 193, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) )
% 0.72/1.09 ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 2, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 190, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 0.72/1.09 ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 203, [ =( inverse( 'double_divide'( inverse( 'double_divide'( X,
% 0.72/1.09 multiply( 'double_divide'( X, Z ), Y ) ) ), Z ) ), Y ) ] )
% 0.72/1.09 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , 0, clause( 0, [ =( inverse( 'double_divide'( inverse( 'double_divide'( X
% 0.72/1.09 , inverse( 'double_divide'( Y, 'double_divide'( X, Z ) ) ) ) ), Z ) ), Y
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, 6, substitution( 0, [ :=( X, 'double_divide'( X, Z ) ), :=( Y, Y )] )
% 0.72/1.09 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 209, [ =( inverse( 'double_divide'( multiply( multiply(
% 0.72/1.09 'double_divide'( X, Y ), Z ), X ), Y ) ), Z ) ] )
% 0.72/1.09 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , 0, clause( 203, [ =( inverse( 'double_divide'( inverse( 'double_divide'(
% 0.72/1.09 X, multiply( 'double_divide'( X, Z ), Y ) ) ), Z ) ), Y ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [ :=( X, multiply( 'double_divide'( X, Y ), Z ) )
% 0.72/1.09 , :=( Y, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 211, [ =( multiply( Y, multiply( multiply( 'double_divide'( X, Y )
% 0.72/1.09 , Z ), X ) ), Z ) ] )
% 0.72/1.09 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , 0, clause( 209, [ =( inverse( 'double_divide'( multiply( multiply(
% 0.72/1.09 'double_divide'( X, Y ), Z ), X ), Y ) ), Z ) ] )
% 0.72/1.09 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, multiply( multiply(
% 0.72/1.09 'double_divide'( X, Y ), Z ), X ) )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.09 :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 3, [ =( multiply( Z, multiply( multiply( 'double_divide'( X, Z ), Y
% 0.72/1.09 ), X ) ), Y ) ] )
% 0.72/1.09 , clause( 211, [ =( multiply( Y, multiply( multiply( 'double_divide'( X, Y
% 0.72/1.09 ), Z ), X ) ), Z ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 213, [ =( Z, multiply( X, multiply( multiply( 'double_divide'( Y, X
% 0.72/1.09 ), Z ), Y ) ) ) ] )
% 0.72/1.09 , clause( 3, [ =( multiply( Z, multiply( multiply( 'double_divide'( X, Z )
% 0.72/1.09 , Y ), X ) ), Y ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 216, [ =( multiply( multiply( 'double_divide'( X, 'double_divide'(
% 0.72/1.09 Y, Z ) ), T ), X ), multiply( Z, multiply( T, Y ) ) ) ] )
% 0.72/1.09 , clause( 3, [ =( multiply( Z, multiply( multiply( 'double_divide'( X, Z )
% 0.72/1.09 , Y ), X ) ), Y ) ] )
% 0.72/1.09 , 0, clause( 213, [ =( Z, multiply( X, multiply( multiply( 'double_divide'(
% 0.72/1.09 Y, X ), Z ), Y ) ) ) ] )
% 0.72/1.09 , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, 'double_divide'(
% 0.72/1.09 Y, Z ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, multiply(
% 0.72/1.09 multiply( 'double_divide'( X, 'double_divide'( Y, Z ) ), T ), X ) )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 4, [ =( multiply( multiply( 'double_divide'( Z, 'double_divide'( X
% 0.72/1.09 , Y ) ), T ), Z ), multiply( Y, multiply( T, X ) ) ) ] )
% 0.72/1.09 , clause( 216, [ =( multiply( multiply( 'double_divide'( X, 'double_divide'(
% 0.72/1.09 Y, Z ) ), T ), X ), multiply( Z, multiply( T, Y ) ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 219, [ =( Z, multiply( X, multiply( multiply( 'double_divide'( Y, X
% 0.72/1.09 ), Z ), Y ) ) ) ] )
% 0.72/1.09 , clause( 3, [ =( multiply( Z, multiply( multiply( 'double_divide'( X, Z )
% 0.72/1.09 , Y ), X ) ), Y ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 226, [ =( X, multiply( 'double_divide'( Y, Z ), multiply( Z,
% 0.72/1.09 multiply( X, Y ) ) ) ) ] )
% 0.72/1.09 , clause( 4, [ =( multiply( multiply( 'double_divide'( Z, 'double_divide'(
% 0.72/1.09 X, Y ) ), T ), Z ), multiply( Y, multiply( T, X ) ) ) ] )
% 0.72/1.09 , 0, clause( 219, [ =( Z, multiply( X, multiply( multiply( 'double_divide'(
% 0.72/1.09 Y, X ), Z ), Y ) ) ) ] )
% 0.72/1.09 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 0.72/1.09 , substitution( 1, [ :=( X, 'double_divide'( Y, Z ) ), :=( Y, T ), :=( Z
% 0.72/1.09 , X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 227, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply(
% 0.72/1.09 X, Y ) ) ), X ) ] )
% 0.72/1.09 , clause( 226, [ =( X, multiply( 'double_divide'( Y, Z ), multiply( Z,
% 0.72/1.09 multiply( X, Y ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply( T
% 0.72/1.09 , Y ) ) ), T ) ] )
% 0.72/1.09 , clause( 227, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z,
% 0.72/1.09 multiply( X, Y ) ) ), X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 228, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.72/1.09 multiply( Z, X ) ) ) ) ] )
% 0.72/1.09 , clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply(
% 0.72/1.09 T, Y ) ) ), T ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 231, [ =( X, multiply( 'double_divide'( multiply( Y, Z ),
% 0.72/1.09 'double_divide'( Z, X ) ), Y ) ) ] )
% 0.72/1.09 , clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply(
% 0.72/1.09 T, Y ) ) ), T ) ] )
% 0.72/1.09 , 0, clause( 228, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.72/1.09 multiply( Z, X ) ) ) ) ] )
% 0.72/1.09 , 0, 10, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 0.72/1.09 , substitution( 1, [ :=( X, multiply( Y, Z ) ), :=( Y, 'double_divide'( Z
% 0.72/1.09 , X ) ), :=( Z, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 233, [ =( multiply( 'double_divide'( multiply( Y, Z ),
% 0.72/1.09 'double_divide'( Z, X ) ), Y ), X ) ] )
% 0.72/1.09 , clause( 231, [ =( X, multiply( 'double_divide'( multiply( Y, Z ),
% 0.72/1.09 'double_divide'( Z, X ) ), Y ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 6, [ =( multiply( 'double_divide'( multiply( Z, X ),
% 0.72/1.09 'double_divide'( X, Y ) ), Z ), Y ) ] )
% 0.72/1.09 , clause( 233, [ =( multiply( 'double_divide'( multiply( Y, Z ),
% 0.72/1.09 'double_divide'( Z, X ) ), Y ), X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 235, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.72/1.09 multiply( Z, X ) ) ) ) ] )
% 0.72/1.09 , clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply(
% 0.72/1.09 T, Y ) ) ), T ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 239, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'(
% 0.72/1.09 multiply( Y, multiply( Z, X ) ), T ), multiply( T, Z ) ) ) ] )
% 0.72/1.09 , clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply(
% 0.72/1.09 T, Y ) ) ), T ) ] )
% 0.72/1.09 , 0, clause( 235, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.72/1.09 multiply( Z, X ) ) ) ) ] )
% 0.72/1.09 , 0, 14, substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.72/1.09 , substitution( 1, [ :=( X, multiply( Y, multiply( Z, X ) ) ), :=( Y, T )
% 0.72/1.09 , :=( Z, 'double_divide'( X, Y ) )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 241, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X )
% 0.72/1.09 ), T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.72/1.09 , clause( 239, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'(
% 0.72/1.09 multiply( Y, multiply( Z, X ) ), T ), multiply( T, Z ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 7, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X ) )
% 0.72/1.09 , T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.72/1.09 , clause( 241, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X
% 0.72/1.09 ) ), T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 243, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.72/1.09 multiply( Z, X ) ) ) ) ] )
% 0.72/1.09 , clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply(
% 0.72/1.09 T, Y ) ) ), T ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 247, [ =( 'double_divide'( multiply( X, Y ), 'double_divide'( Y, Z
% 0.72/1.09 ) ), multiply( 'double_divide'( X, T ), multiply( T, Z ) ) ) ] )
% 0.72/1.09 , clause( 6, [ =( multiply( 'double_divide'( multiply( Z, X ),
% 0.72/1.09 'double_divide'( X, Y ) ), Z ), Y ) ] )
% 0.72/1.09 , 0, clause( 243, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.72/1.09 multiply( Z, X ) ) ) ) ] )
% 0.72/1.09 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.72/1.09 substitution( 1, [ :=( X, X ), :=( Y, T ), :=( Z, 'double_divide'(
% 0.72/1.09 multiply( X, Y ), 'double_divide'( Y, Z ) ) )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 249, [ =( multiply( 'double_divide'( X, T ), multiply( T, Z ) ),
% 0.72/1.09 'double_divide'( multiply( X, Y ), 'double_divide'( Y, Z ) ) ) ] )
% 0.72/1.09 , clause( 247, [ =( 'double_divide'( multiply( X, Y ), 'double_divide'( Y,
% 0.72/1.09 Z ) ), multiply( 'double_divide'( X, T ), multiply( T, Z ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 11, [ =( multiply( 'double_divide'( X, T ), multiply( T, Z ) ),
% 0.72/1.09 'double_divide'( multiply( X, Y ), 'double_divide'( Y, Z ) ) ) ] )
% 0.72/1.09 , clause( 249, [ =( multiply( 'double_divide'( X, T ), multiply( T, Z ) ),
% 0.72/1.09 'double_divide'( multiply( X, Y ), 'double_divide'( Y, Z ) ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 250, [ =( 'double_divide'( multiply( X, T ), 'double_divide'( T, Z
% 0.72/1.09 ) ), multiply( 'double_divide'( X, Y ), multiply( Y, Z ) ) ) ] )
% 0.72/1.09 , clause( 11, [ =( multiply( 'double_divide'( X, T ), multiply( T, Z ) ),
% 0.72/1.09 'double_divide'( multiply( X, Y ), 'double_divide'( Y, Z ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Z ), :=( T, Y )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 257, [ =( 'double_divide'( multiply( X, Y ), 'double_divide'( Y,
% 0.72/1.09 multiply( Z, X ) ) ), Z ) ] )
% 0.72/1.09 , clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply(
% 0.72/1.09 T, Y ) ) ), T ) ] )
% 0.72/1.09 , 0, clause( 250, [ =( 'double_divide'( multiply( X, T ), 'double_divide'(
% 0.72/1.09 T, Z ) ), multiply( 'double_divide'( X, Y ), multiply( Y, Z ) ) ) ] )
% 0.72/1.09 , 0, 10, substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, T ), :=( T, Z )] )
% 0.72/1.09 , substitution( 1, [ :=( X, X ), :=( Y, T ), :=( Z, multiply( Z, X ) ),
% 0.72/1.09 :=( T, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 18, [ =( 'double_divide'( multiply( X, T ), 'double_divide'( T,
% 0.72/1.09 multiply( Z, X ) ) ), Z ) ] )
% 0.72/1.09 , clause( 257, [ =( 'double_divide'( multiply( X, Y ), 'double_divide'( Y,
% 0.72/1.09 multiply( Z, X ) ) ), Z ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Z )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 263, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 264, [ =( multiply( 'double_divide'( X, multiply( Y, Z ) ),
% 0.72/1.09 multiply( Z, X ) ), inverse( Y ) ) ] )
% 0.72/1.09 , clause( 18, [ =( 'double_divide'( multiply( X, T ), 'double_divide'( T,
% 0.72/1.09 multiply( Z, X ) ) ), Z ) ] )
% 0.72/1.09 , 0, clause( 263, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] )
% 0.72/1.09 , substitution( 1, [ :=( X, multiply( Z, X ) ), :=( Y, 'double_divide'( X
% 0.72/1.09 , multiply( Y, Z ) ) )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 33, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ), multiply(
% 0.72/1.09 X, Y ) ), inverse( Z ) ) ] )
% 0.72/1.09 , clause( 264, [ =( multiply( 'double_divide'( X, multiply( Y, Z ) ),
% 0.72/1.09 multiply( Z, X ) ), inverse( Y ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 266, [ =( 'double_divide'( Z, X ), multiply( 'double_divide'(
% 0.72/1.09 multiply( X, multiply( Y, Z ) ), T ), multiply( T, Y ) ) ) ] )
% 0.72/1.09 , clause( 7, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X )
% 0.72/1.09 ), T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 268, [ =( 'double_divide'( X, multiply( 'double_divide'( multiply(
% 0.72/1.09 Y, X ), Z ), Y ) ), Z ) ] )
% 0.72/1.09 , clause( 6, [ =( multiply( 'double_divide'( multiply( Z, X ),
% 0.72/1.09 'double_divide'( X, Y ) ), Z ), Y ) ] )
% 0.72/1.09 , 0, clause( 266, [ =( 'double_divide'( Z, X ), multiply( 'double_divide'(
% 0.72/1.09 multiply( X, multiply( Y, Z ) ), T ), multiply( T, Y ) ) ) ] )
% 0.72/1.09 , 0, 10, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, Z ), :=( Z,
% 0.72/1.09 multiply( 'double_divide'( multiply( Y, X ), Z ), Y ) )] ),
% 0.72/1.09 substitution( 1, [ :=( X, multiply( 'double_divide'( multiply( Y, X ), Z
% 0.72/1.09 ), Y ) ), :=( Y, Y ), :=( Z, X ), :=( T, 'double_divide'( multiply( Y, X
% 0.72/1.09 ), Z ) )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 35, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply( X
% 0.72/1.09 , Y ), Z ), X ) ), Z ) ] )
% 0.72/1.09 , clause( 268, [ =( 'double_divide'( X, multiply( 'double_divide'( multiply(
% 0.72/1.09 Y, X ), Z ), Y ) ), Z ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 277, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.72/1.09 multiply( Z, X ) ) ) ) ] )
% 0.72/1.09 , clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply(
% 0.72/1.09 T, Y ) ) ), T ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 282, [ =( X, multiply( 'double_divide'( Y, 'double_divide'( Y,
% 0.72/1.09 multiply( Z, X ) ) ), inverse( Z ) ) ) ] )
% 0.72/1.09 , clause( 33, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ),
% 0.72/1.09 multiply( X, Y ) ), inverse( Z ) ) ] )
% 0.72/1.09 , 0, clause( 277, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.72/1.09 multiply( Z, X ) ) ) ) ] )
% 0.72/1.09 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.09 substitution( 1, [ :=( X, Y ), :=( Y, 'double_divide'( Y, multiply( Z, X
% 0.72/1.09 ) ) ), :=( Z, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 284, [ =( multiply( 'double_divide'( Y, 'double_divide'( Y,
% 0.72/1.09 multiply( Z, X ) ) ), inverse( Z ) ), X ) ] )
% 0.72/1.09 , clause( 282, [ =( X, multiply( 'double_divide'( Y, 'double_divide'( Y,
% 0.72/1.09 multiply( Z, X ) ) ), inverse( Z ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 48, [ =( multiply( 'double_divide'( X, 'double_divide'( X, multiply(
% 0.72/1.09 Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.72/1.09 , clause( 284, [ =( multiply( 'double_divide'( Y, 'double_divide'( Y,
% 0.72/1.09 multiply( Z, X ) ) ), inverse( Z ) ), X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 287, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.72/1.09 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.72/1.09 , clause( 35, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply(
% 0.72/1.09 X, Y ), Z ), X ) ), Z ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 290, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply( X
% 0.72/1.09 , Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.72/1.09 , clause( 48, [ =( multiply( 'double_divide'( X, 'double_divide'( X,
% 0.72/1.09 multiply( Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.72/1.09 , 0, clause( 287, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.72/1.09 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.72/1.09 , 0, 11, substitution( 0, [ :=( X, multiply( inverse( X ), Y ) ), :=( Y, X
% 0.72/1.09 ), :=( Z, Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, inverse( X ) ),
% 0.72/1.09 :=( Z, 'double_divide'( multiply( inverse( X ), Y ), multiply( X, Z ) ) )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 52, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply( X
% 0.72/1.09 , Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.72/1.09 , clause( 290, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply(
% 0.72/1.09 X, Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 295, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.72/1.09 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.72/1.09 , clause( 35, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply(
% 0.72/1.09 X, Y ), Z ), X ) ), Z ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 298, [ =( multiply( X, Y ), 'double_divide'( Z, multiply(
% 0.72/1.09 'double_divide'( Z, Y ), inverse( X ) ) ) ) ] )
% 0.72/1.09 , clause( 52, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply(
% 0.72/1.09 X, Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.72/1.09 , 0, clause( 295, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.72/1.09 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.72/1.09 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.72/1.09 substitution( 1, [ :=( X, Z ), :=( Y, inverse( X ) ), :=( Z, multiply( X
% 0.72/1.09 , Y ) )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 299, [ =( 'double_divide'( Z, multiply( 'double_divide'( Z, Y ),
% 0.72/1.09 inverse( X ) ) ), multiply( X, Y ) ) ] )
% 0.72/1.09 , clause( 298, [ =( multiply( X, Y ), 'double_divide'( Z, multiply(
% 0.72/1.09 'double_divide'( Z, Y ), inverse( X ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 57, [ =( 'double_divide'( Y, multiply( 'double_divide'( Y, Z ),
% 0.72/1.09 inverse( X ) ) ), multiply( X, Z ) ) ] )
% 0.72/1.09 , clause( 299, [ =( 'double_divide'( Z, multiply( 'double_divide'( Z, Y ),
% 0.72/1.09 inverse( X ) ) ), multiply( X, Y ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 301, [ =( multiply( Z, Y ), 'double_divide'( X, multiply(
% 0.72/1.09 'double_divide'( X, Y ), inverse( Z ) ) ) ) ] )
% 0.72/1.09 , clause( 57, [ =( 'double_divide'( Y, multiply( 'double_divide'( Y, Z ),
% 0.72/1.09 inverse( X ) ) ), multiply( X, Z ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 305, [ =( multiply( X, 'double_divide'( Y, multiply( X, Z ) ) ),
% 0.72/1.09 'double_divide'( Y, Z ) ) ] )
% 0.72/1.09 , clause( 48, [ =( multiply( 'double_divide'( X, 'double_divide'( X,
% 0.72/1.09 multiply( Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.72/1.09 , 0, clause( 301, [ =( multiply( Z, Y ), 'double_divide'( X, multiply(
% 0.72/1.09 'double_divide'( X, Y ), inverse( Z ) ) ) ) ] )
% 0.72/1.09 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.72/1.09 substitution( 1, [ :=( X, Y ), :=( Y, 'double_divide'( Y, multiply( X, Z
% 0.72/1.09 ) ) ), :=( Z, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 62, [ =( multiply( Y, 'double_divide'( X, multiply( Y, Z ) ) ),
% 0.72/1.09 'double_divide'( X, Z ) ) ] )
% 0.72/1.09 , clause( 305, [ =( multiply( X, 'double_divide'( Y, multiply( X, Z ) ) ),
% 0.72/1.09 'double_divide'( Y, Z ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 309, [ =( 'double_divide'( Y, Z ), multiply( X, 'double_divide'( Y
% 0.72/1.09 , multiply( X, Z ) ) ) ) ] )
% 0.72/1.09 , clause( 62, [ =( multiply( Y, 'double_divide'( X, multiply( Y, Z ) ) ),
% 0.72/1.09 'double_divide'( X, Z ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 313, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'(
% 0.72/1.09 multiply( Y, X ), Z ), Z ) ) ] )
% 0.72/1.09 , clause( 35, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply(
% 0.72/1.09 X, Y ), Z ), X ) ), Z ) ] )
% 0.72/1.09 , 0, clause( 309, [ =( 'double_divide'( Y, Z ), multiply( X,
% 0.72/1.09 'double_divide'( Y, multiply( X, Z ) ) ) ) ] )
% 0.72/1.09 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.72/1.09 substitution( 1, [ :=( X, 'double_divide'( multiply( Y, X ), Z ) ), :=( Y
% 0.72/1.09 , X ), :=( Z, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 315, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.72/1.09 'double_divide'( X, Y ) ) ] )
% 0.72/1.09 , clause( 313, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'(
% 0.72/1.09 multiply( Y, X ), Z ), Z ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 71, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.72/1.09 'double_divide'( X, Y ) ) ] )
% 0.72/1.09 , clause( 315, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.72/1.09 'double_divide'( X, Y ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 316, [ =( 'double_divide'( Y, X ), multiply( 'double_divide'(
% 0.72/1.09 multiply( X, Y ), Z ), Z ) ) ] )
% 0.72/1.09 , clause( 71, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.72/1.09 'double_divide'( X, Y ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 318, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 33, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ),
% 0.72/1.09 multiply( X, Y ) ), inverse( Z ) ) ] )
% 0.72/1.09 , 0, clause( 316, [ =( 'double_divide'( Y, X ), multiply( 'double_divide'(
% 0.72/1.09 multiply( X, Y ), Z ), Z ) ) ] )
% 0.72/1.09 , 0, 4, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, multiply( Y, X
% 0.72/1.09 ) ), :=( Z, multiply( Y, X ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.72/1.09 , X ), :=( Z, multiply( multiply( Y, X ), multiply( Y, X ) ) )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 320, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 318, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 89, [ =( inverse( multiply( X, Y ) ), 'double_divide'( Y, X ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 320, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) )
% 0.72/1.09 ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 323, [ =( 'double_divide'( Y, X ), multiply( 'double_divide'(
% 0.72/1.09 multiply( X, Y ), Z ), Z ) ) ] )
% 0.72/1.09 , clause( 71, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.72/1.09 'double_divide'( X, Y ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 329, [ =( 'double_divide'( multiply( X, Y ), 'double_divide'( Y,
% 0.72/1.09 multiply( Z, X ) ) ), multiply( 'double_divide'( inverse( Z ), T ), T ) )
% 0.72/1.09 ] )
% 0.72/1.09 , clause( 33, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ),
% 0.72/1.09 multiply( X, Y ) ), inverse( Z ) ) ] )
% 0.72/1.09 , 0, clause( 323, [ =( 'double_divide'( Y, X ), multiply( 'double_divide'(
% 0.72/1.09 multiply( X, Y ), Z ), Z ) ) ] )
% 0.72/1.09 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.09 substitution( 1, [ :=( X, 'double_divide'( Y, multiply( Z, X ) ) ), :=( Y
% 0.72/1.09 , multiply( X, Y ) ), :=( Z, T )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 330, [ =( Z, multiply( 'double_divide'( inverse( Z ), T ), T ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 18, [ =( 'double_divide'( multiply( X, T ), 'double_divide'( T,
% 0.72/1.09 multiply( Z, X ) ) ), Z ) ] )
% 0.72/1.09 , 0, clause( 329, [ =( 'double_divide'( multiply( X, Y ), 'double_divide'(
% 0.72/1.09 Y, multiply( Z, X ) ) ), multiply( 'double_divide'( inverse( Z ), T ), T
% 0.72/1.09 ) ) ] )
% 0.72/1.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, U ), :=( Z, Z ), :=( T, Y )] )
% 0.72/1.09 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 331, [ =( multiply( 'double_divide'( inverse( X ), Y ), Y ), X ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 330, [ =( Z, multiply( 'double_divide'( inverse( Z ), T ), T ) )
% 0.72/1.09 ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 91, [ =( multiply( 'double_divide'( inverse( Y ), T ), T ), Y ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 331, [ =( multiply( 'double_divide'( inverse( X ), Y ), Y ), X )
% 0.72/1.09 ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, T )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 333, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.72/1.09 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.72/1.09 , clause( 35, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply(
% 0.72/1.09 X, Y ), Z ), X ) ), Z ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 338, [ =( X, 'double_divide'( Y, 'double_divide'( Y, X ) ) ) ] )
% 0.72/1.09 , clause( 71, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.72/1.09 'double_divide'( X, Y ) ) ] )
% 0.72/1.09 , 0, clause( 333, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.72/1.09 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.72/1.09 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.72/1.09 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 340, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.72/1.09 , clause( 338, [ =( X, 'double_divide'( Y, 'double_divide'( Y, X ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 92, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.72/1.09 , clause( 340, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 343, [ =( Z, multiply( 'double_divide'( X, 'double_divide'( X,
% 0.72/1.09 multiply( Y, Z ) ) ), inverse( Y ) ) ) ] )
% 0.72/1.09 , clause( 48, [ =( multiply( 'double_divide'( X, 'double_divide'( X,
% 0.72/1.09 multiply( Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 344, [ =( X, multiply( multiply( Z, X ), inverse( Z ) ) ) ] )
% 0.72/1.09 , clause( 92, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.72/1.09 , 0, clause( 343, [ =( Z, multiply( 'double_divide'( X, 'double_divide'( X
% 0.72/1.09 , multiply( Y, Z ) ) ), inverse( Y ) ) ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [ :=( X, multiply( Z, X ) ), :=( Y, Y )] ),
% 0.72/1.09 substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 345, [ =( multiply( multiply( Y, X ), inverse( Y ) ), X ) ] )
% 0.72/1.09 , clause( 344, [ =( X, multiply( multiply( Z, X ), inverse( Z ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 111, [ =( multiply( multiply( Y, Z ), inverse( Y ) ), Z ) ] )
% 0.72/1.09 , clause( 345, [ =( multiply( multiply( Y, X ), inverse( Y ) ), X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 347, [ =( multiply( Z, multiply( T, Y ) ), multiply( multiply(
% 0.72/1.09 'double_divide'( X, 'double_divide'( Y, Z ) ), T ), X ) ) ] )
% 0.72/1.09 , clause( 4, [ =( multiply( multiply( 'double_divide'( Z, 'double_divide'(
% 0.72/1.09 X, Y ) ), T ), Z ), multiply( Y, multiply( T, X ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 348, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.09 ), Z ) ) ] )
% 0.72/1.09 , clause( 92, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.72/1.09 , 0, clause( 347, [ =( multiply( Z, multiply( T, Y ) ), multiply( multiply(
% 0.72/1.09 'double_divide'( X, 'double_divide'( Y, Z ) ), T ), X ) ) ] )
% 0.72/1.09 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [
% 0.72/1.09 :=( X, Z ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 120, [ =( multiply( Y, multiply( Z, X ) ), multiply( multiply( Y, Z
% 0.72/1.09 ), X ) ) ] )
% 0.72/1.09 , clause( 348, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.72/1.09 , Y ), Z ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 352, [ =( Y, multiply( multiply( X, Y ), inverse( X ) ) ) ] )
% 0.72/1.09 , clause( 111, [ =( multiply( multiply( Y, Z ), inverse( Y ) ), Z ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 356, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) ) )
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 111, [ =( multiply( multiply( Y, Z ), inverse( Y ) ), Z ) ] )
% 0.72/1.09 , 0, clause( 352, [ =( Y, multiply( multiply( X, Y ), inverse( X ) ) ) ] )
% 0.72/1.09 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.09 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, inverse( X ) )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 357, [ =( inverse( X ), multiply( Y, 'double_divide'( Y, X ) ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 89, [ =( inverse( multiply( X, Y ) ), 'double_divide'( Y, X ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , 0, clause( 356, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 0.72/1.09 ) ) ) ] )
% 0.72/1.09 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 358, [ =( multiply( Y, 'double_divide'( Y, X ) ), inverse( X ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 357, [ =( inverse( X ), multiply( Y, 'double_divide'( Y, X ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 122, [ =( multiply( Y, 'double_divide'( Y, X ) ), inverse( X ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 358, [ =( multiply( Y, 'double_divide'( Y, X ) ), inverse( X ) )
% 0.72/1.09 ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 360, [ =( 'double_divide'( Z, X ), multiply( 'double_divide'(
% 0.72/1.09 multiply( X, multiply( Y, Z ) ), T ), multiply( T, Y ) ) ) ] )
% 0.72/1.09 , clause( 7, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X )
% 0.72/1.09 ), T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.72/1.09 ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 366, [ =( 'double_divide'( inverse( X ), Y ), multiply(
% 0.72/1.09 'double_divide'( multiply( Y, Z ), T ), multiply( T, multiply( X, Z ) ) )
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 111, [ =( multiply( multiply( Y, Z ), inverse( Y ) ), Z ) ] )
% 0.72/1.09 , 0, clause( 360, [ =( 'double_divide'( Z, X ), multiply( 'double_divide'(
% 0.72/1.09 multiply( X, multiply( Y, Z ) ), T ), multiply( T, Y ) ) ) ] )
% 0.72/1.09 , 0, 9, substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, Z )] ),
% 0.72/1.09 substitution( 1, [ :=( X, Y ), :=( Y, multiply( X, Z ) ), :=( Z, inverse(
% 0.72/1.09 X ) ), :=( T, T )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 370, [ =( 'double_divide'( inverse( X ), Y ), multiply(
% 0.72/1.09 'double_divide'( multiply( Y, Z ), T ), multiply( multiply( T, X ), Z ) )
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 120, [ =( multiply( Y, multiply( Z, X ) ), multiply( multiply( Y
% 0.72/1.09 , Z ), X ) ) ] )
% 0.72/1.09 , 0, clause( 366, [ =( 'double_divide'( inverse( X ), Y ), multiply(
% 0.72/1.09 'double_divide'( multiply( Y, Z ), T ), multiply( T, multiply( X, Z ) ) )
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X )] ),
% 0.72/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 373, [ =( 'double_divide'( inverse( X ), Y ), multiply( multiply(
% 0.72/1.09 'double_divide'( multiply( Y, Z ), T ), multiply( T, X ) ), Z ) ) ] )
% 0.72/1.09 , clause( 120, [ =( multiply( Y, multiply( Z, X ) ), multiply( multiply( Y
% 0.72/1.09 , Z ), X ) ) ] )
% 0.72/1.09 , 0, clause( 370, [ =( 'double_divide'( inverse( X ), Y ), multiply(
% 0.72/1.09 'double_divide'( multiply( Y, Z ), T ), multiply( multiply( T, X ), Z ) )
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, 'double_divide'( multiply( Y
% 0.72/1.09 , Z ), T ) ), :=( Z, multiply( T, X ) )] ), substitution( 1, [ :=( X, X )
% 0.72/1.09 , :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 374, [ =( 'double_divide'( inverse( X ), Y ), multiply( multiply(
% 0.72/1.09 multiply( 'double_divide'( multiply( Y, Z ), T ), T ), X ), Z ) ) ] )
% 0.72/1.09 , clause( 120, [ =( multiply( Y, multiply( Z, X ) ), multiply( multiply( Y
% 0.72/1.09 , Z ), X ) ) ] )
% 0.72/1.09 , 0, clause( 373, [ =( 'double_divide'( inverse( X ), Y ), multiply(
% 0.72/1.09 multiply( 'double_divide'( multiply( Y, Z ), T ), multiply( T, X ) ), Z )
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'double_divide'( multiply( Y
% 0.72/1.09 , Z ), T ) ), :=( Z, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 0.72/1.09 :=( Z, Z ), :=( T, T )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 375, [ =( 'double_divide'( inverse( X ), Y ), multiply( multiply(
% 0.72/1.09 'double_divide'( Z, Y ), X ), Z ) ) ] )
% 0.72/1.09 , clause( 71, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.72/1.09 'double_divide'( X, Y ) ) ] )
% 0.72/1.09 , 0, clause( 374, [ =( 'double_divide'( inverse( X ), Y ), multiply(
% 0.72/1.09 multiply( multiply( 'double_divide'( multiply( Y, Z ), T ), T ), X ), Z )
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T )] ),
% 0.72/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 376, [ =( multiply( multiply( 'double_divide'( Z, Y ), X ), Z ),
% 0.72/1.09 'double_divide'( inverse( X ), Y ) ) ] )
% 0.72/1.09 , clause( 375, [ =( 'double_divide'( inverse( X ), Y ), multiply( multiply(
% 0.72/1.09 'double_divide'( Z, Y ), X ), Z ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 132, [ =( multiply( multiply( 'double_divide'( Y, Z ), X ), Y ),
% 0.72/1.09 'double_divide'( inverse( X ), Z ) ) ] )
% 0.72/1.09 , clause( 376, [ =( multiply( multiply( 'double_divide'( Z, Y ), X ), Z ),
% 0.72/1.09 'double_divide'( inverse( X ), Y ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 378, [ =( Y, multiply( multiply( X, Y ), inverse( X ) ) ) ] )
% 0.72/1.09 , clause( 111, [ =( multiply( multiply( Y, Z ), inverse( Y ) ), Z ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 380, [ =( multiply( multiply( 'double_divide'( X, Y ), Z ), X ),
% 0.72/1.09 multiply( Z, inverse( Y ) ) ) ] )
% 0.72/1.09 , clause( 3, [ =( multiply( Z, multiply( multiply( 'double_divide'( X, Z )
% 0.72/1.09 , Y ), X ) ), Y ) ] )
% 0.72/1.09 , 0, clause( 378, [ =( Y, multiply( multiply( X, Y ), inverse( X ) ) ) ] )
% 0.72/1.09 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.72/1.09 substitution( 1, [ :=( X, Y ), :=( Y, multiply( multiply( 'double_divide'(
% 0.72/1.09 X, Y ), Z ), X ) )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 381, [ =( 'double_divide'( inverse( Z ), Y ), multiply( Z, inverse(
% 0.72/1.09 Y ) ) ) ] )
% 0.72/1.09 , clause( 132, [ =( multiply( multiply( 'double_divide'( Y, Z ), X ), Y ),
% 0.72/1.09 'double_divide'( inverse( X ), Z ) ) ] )
% 0.72/1.09 , 0, clause( 380, [ =( multiply( multiply( 'double_divide'( X, Y ), Z ), X
% 0.72/1.09 ), multiply( Z, inverse( Y ) ) ) ] )
% 0.72/1.09 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 382, [ =( multiply( X, inverse( Y ) ), 'double_divide'( inverse( X
% 0.72/1.09 ), Y ) ) ] )
% 0.72/1.09 , clause( 381, [ =( 'double_divide'( inverse( Z ), Y ), multiply( Z,
% 0.72/1.09 inverse( Y ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 143, [ =( multiply( Z, inverse( X ) ), 'double_divide'( inverse( Z
% 0.72/1.09 ), X ) ) ] )
% 0.72/1.09 , clause( 382, [ =( multiply( X, inverse( Y ) ), 'double_divide'( inverse(
% 0.72/1.09 X ), Y ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 384, [ =( inverse( Y ), multiply( X, 'double_divide'( X, Y ) ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 122, [ =( multiply( Y, 'double_divide'( Y, X ) ), inverse( X ) )
% 0.72/1.09 ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 386, [ =( inverse( 'double_divide'( X, Y ) ), multiply( X, Y ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , clause( 92, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.72/1.09 , 0, clause( 384, [ =( inverse( Y ), multiply( X, 'double_divide'( X, Y ) )
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.09 :=( X, X ), :=( Y, 'double_divide'( X, Y ) )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 387, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.72/1.09 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.09 )
% 0.72/1.09 , 0, clause( 386, [ =( inverse( 'double_divide'( X, Y ) ), multiply( X, Y )
% 0.72/1.09 ) ] )
% 0.72/1.09 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 146, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.72/1.09 , clause( 387, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 388, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , clause( 2, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.72/1.09 ] )
% 0.72/1.09 , 0, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 392, [ ~( =( a2, multiply( a2, multiply( inverse( b2 ), b2 ) ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , clause( 146, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.72/1.09 , 0, clause( 388, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 )
% 0.72/1.09 ) ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [ :=( X, multiply( inverse( b2 ), b2 ) ), :=( Y,
% 0.72/1.09 a2 )] ), substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 398, [ ~( =( a2, multiply( multiply( a2, inverse( b2 ) ), b2 ) ) )
% 0.72/1.09 ] )
% 0.72/1.09 , clause( 120, [ =( multiply( Y, multiply( Z, X ) ), multiply( multiply( Y
% 0.72/1.09 , Z ), X ) ) ] )
% 0.72/1.09 , 0, clause( 392, [ ~( =( a2, multiply( a2, multiply( inverse( b2 ), b2 ) )
% 0.72/1.09 ) ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [ :=( X, b2 ), :=( Y, a2 ), :=( Z, inverse( b2 ) )] )
% 0.72/1.09 , substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 399, [ ~( =( a2, multiply( 'double_divide'( inverse( a2 ), b2 ), b2
% 0.72/1.09 ) ) ) ] )
% 0.72/1.09 , clause( 143, [ =( multiply( Z, inverse( X ) ), 'double_divide'( inverse(
% 0.72/1.09 Z ), X ) ) ] )
% 0.72/1.09 , 0, clause( 398, [ ~( =( a2, multiply( multiply( a2, inverse( b2 ) ), b2 )
% 0.72/1.09 ) ) ] )
% 0.72/1.09 , 0, 4, substitution( 0, [ :=( X, b2 ), :=( Y, X ), :=( Z, a2 )] ),
% 0.72/1.09 substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 paramod(
% 0.72/1.09 clause( 400, [ ~( =( a2, a2 ) ) ] )
% 0.72/1.09 , clause( 91, [ =( multiply( 'double_divide'( inverse( Y ), T ), T ), Y ) ]
% 0.72/1.09 )
% 0.72/1.09 , 0, clause( 399, [ ~( =( a2, multiply( 'double_divide'( inverse( a2 ), b2
% 0.72/1.09 ), b2 ) ) ) ] )
% 0.72/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, a2 ), :=( Z, Y ), :=( T, b2 )] )
% 0.72/1.09 , substitution( 1, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqrefl(
% 0.72/1.09 clause( 401, [] )
% 0.72/1.09 , clause( 400, [ ~( =( a2, a2 ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 186, [] )
% 0.72/1.09 , clause( 401, [] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 end.
% 0.72/1.09
% 0.72/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.09
% 0.72/1.09 Memory use:
% 0.72/1.09
% 0.72/1.09 space for terms: 2479
% 0.72/1.09 space for clauses: 23768
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 clauses generated: 709
% 0.72/1.09 clauses kept: 187
% 0.72/1.09 clauses selected: 23
% 0.72/1.09 clauses deleted: 2
% 0.72/1.09 clauses inuse deleted: 0
% 0.72/1.09
% 0.72/1.09 subsentry: 608
% 0.72/1.09 literals s-matched: 182
% 0.72/1.09 literals matched: 167
% 0.72/1.09 full subsumption: 0
% 0.72/1.09
% 0.72/1.09 checksum: 1247869254
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Bliksem ended
%------------------------------------------------------------------------------