TSTP Solution File: GRP614-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP614-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 07:37:54 EDT 2022
% Result : Unsatisfiable 0.42s 1.08s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP614-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 13 17:42:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.08 *** allocated 10000 integers for termspace/termends
% 0.42/1.08 *** allocated 10000 integers for clauses
% 0.42/1.08 *** allocated 10000 integers for justifications
% 0.42/1.08 Bliksem 1.12
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Automatic Strategy Selection
% 0.42/1.08
% 0.42/1.08 Clauses:
% 0.42/1.08 [
% 0.42/1.08 [ =( 'double_divide'( inverse( 'double_divide'( inverse( 'double_divide'(
% 0.42/1.08 X, inverse( Y ) ) ), Z ) ), 'double_divide'( X, Z ) ), Y ) ],
% 0.42/1.08 [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) ) ],
% 0.42/1.08 [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.42/1.08 ] .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.42/1.08 This is a pure equality problem
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Options Used:
% 0.42/1.08
% 0.42/1.08 useres = 1
% 0.42/1.08 useparamod = 1
% 0.42/1.08 useeqrefl = 1
% 0.42/1.08 useeqfact = 1
% 0.42/1.08 usefactor = 1
% 0.42/1.08 usesimpsplitting = 0
% 0.42/1.08 usesimpdemod = 5
% 0.42/1.08 usesimpres = 3
% 0.42/1.08
% 0.42/1.08 resimpinuse = 1000
% 0.42/1.08 resimpclauses = 20000
% 0.42/1.08 substype = eqrewr
% 0.42/1.08 backwardsubs = 1
% 0.42/1.08 selectoldest = 5
% 0.42/1.08
% 0.42/1.08 litorderings [0] = split
% 0.42/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.08
% 0.42/1.08 termordering = kbo
% 0.42/1.08
% 0.42/1.08 litapriori = 0
% 0.42/1.08 termapriori = 1
% 0.42/1.08 litaposteriori = 0
% 0.42/1.08 termaposteriori = 0
% 0.42/1.08 demodaposteriori = 0
% 0.42/1.08 ordereqreflfact = 0
% 0.42/1.08
% 0.42/1.08 litselect = negord
% 0.42/1.08
% 0.42/1.08 maxweight = 15
% 0.42/1.08 maxdepth = 30000
% 0.42/1.08 maxlength = 115
% 0.42/1.08 maxnrvars = 195
% 0.42/1.08 excuselevel = 1
% 0.42/1.08 increasemaxweight = 1
% 0.42/1.08
% 0.42/1.08 maxselected = 10000000
% 0.42/1.08 maxnrclauses = 10000000
% 0.42/1.08
% 0.42/1.08 showgenerated = 0
% 0.42/1.08 showkept = 0
% 0.42/1.08 showselected = 0
% 0.42/1.08 showdeleted = 0
% 0.42/1.08 showresimp = 1
% 0.42/1.08 showstatus = 2000
% 0.42/1.08
% 0.42/1.08 prologoutput = 1
% 0.42/1.08 nrgoals = 5000000
% 0.42/1.08 totalproof = 1
% 0.42/1.08
% 0.42/1.08 Symbols occurring in the translation:
% 0.42/1.08
% 0.42/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.08 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.42/1.08 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.42/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.08 inverse [41, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.42/1.08 'double_divide' [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.42/1.08 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.42/1.08 b2 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.42/1.08 a2 [46, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Starting Search:
% 0.42/1.08
% 0.42/1.08 Resimplifying inuse:
% 0.42/1.08 Done
% 0.42/1.08
% 0.42/1.08 Failed to find proof!
% 0.42/1.08 maxweight = 15
% 0.42/1.08 maxnrclauses = 10000000
% 0.42/1.08 Generated: 60
% 0.42/1.08 Kept: 9
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 The strategy used was not complete!
% 0.42/1.08
% 0.42/1.08 Increased maxweight to 16
% 0.42/1.08
% 0.42/1.08 Starting Search:
% 0.42/1.08
% 0.42/1.08 Resimplifying inuse:
% 0.42/1.08 Done
% 0.42/1.08
% 0.42/1.08 Failed to find proof!
% 0.42/1.08 maxweight = 16
% 0.42/1.08 maxnrclauses = 10000000
% 0.42/1.08 Generated: 74
% 0.42/1.08 Kept: 10
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 The strategy used was not complete!
% 0.42/1.08
% 0.42/1.08 Increased maxweight to 17
% 0.42/1.08
% 0.42/1.08 Starting Search:
% 0.42/1.08
% 0.42/1.08 Resimplifying inuse:
% 0.42/1.08 Done
% 0.42/1.08
% 0.42/1.08 Failed to find proof!
% 0.42/1.08 maxweight = 17
% 0.42/1.08 maxnrclauses = 10000000
% 0.42/1.08 Generated: 150
% 0.42/1.08 Kept: 14
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 The strategy used was not complete!
% 0.42/1.08
% 0.42/1.08 Increased maxweight to 18
% 0.42/1.08
% 0.42/1.08 Starting Search:
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Bliksems!, er is een bewijs:
% 0.42/1.08 % SZS status Unsatisfiable
% 0.42/1.08 % SZS output start Refutation
% 0.42/1.08
% 0.42/1.08 clause( 0, [ =( 'double_divide'( inverse( 'double_divide'( inverse(
% 0.42/1.08 'double_divide'( X, inverse( Y ) ) ), Z ) ), 'double_divide'( X, Z ) ), Y
% 0.42/1.08 ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 2, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.42/1.08 )
% 0.42/1.08 .
% 0.42/1.08 clause( 3, [ =( 'double_divide'( multiply( Z, multiply( inverse( Y ), X ) )
% 0.42/1.08 , 'double_divide'( X, Z ) ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 5, [ =( multiply( 'double_divide'( Z, X ), multiply( X, multiply(
% 0.42/1.08 inverse( Y ), Z ) ) ), inverse( Y ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 6, [ =( 'double_divide'( multiply( Z, multiply( multiply( Y, X ), T
% 0.42/1.08 ) ), 'double_divide'( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 8, [ =( 'double_divide'( inverse( Z ), 'double_divide'( multiply(
% 0.42/1.08 inverse( Z ), X ), 'double_divide'( X, inverse( Y ) ) ) ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 9, [ =( multiply( Y, multiply( 'double_divide'( Z, X ), multiply(
% 0.42/1.08 inverse( T ), multiply( X, multiply( inverse( Y ), Z ) ) ) ) ), inverse(
% 0.42/1.08 T ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 11, [ =( 'double_divide'( multiply( Y, X ), 'double_divide'(
% 0.42/1.08 multiply( multiply( Y, X ), Z ), 'double_divide'( Z, inverse( T ) ) ) ),
% 0.42/1.08 T ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 15, [ =( multiply( T, multiply( inverse( X ), inverse( T ) ) ),
% 0.42/1.08 inverse( X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 31, [ =( multiply( 'double_divide'( inverse( X ), X ), inverse( Y )
% 0.42/1.08 ), inverse( Y ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 42, [ =( multiply( 'double_divide'( inverse( Z ), Z ), multiply( Y
% 0.42/1.08 , X ) ), multiply( Y, X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 44, [ =( multiply( inverse( Y ), multiply( X, inverse( X ) ) ),
% 0.42/1.08 inverse( Y ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 55, [ =( 'double_divide'( multiply( Y, inverse( Y ) ), inverse( X )
% 0.42/1.08 ), X ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 64, [ =( multiply( multiply( Y, X ), multiply( Z, inverse( Z ) ) )
% 0.42/1.08 , multiply( Y, X ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 66, [ =( 'double_divide'( multiply( Z, T ), 'double_divide'(
% 0.42/1.08 multiply( Z, T ), Y ) ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 95, [ =( 'double_divide'( multiply( X, inverse( X ) ), Y ), inverse(
% 0.42/1.08 Y ) ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 106, [ =( inverse( inverse( Y ) ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 126, [ =( multiply( 'double_divide'( inverse( Y ), Y ), X ), X ) ]
% 0.42/1.08 )
% 0.42/1.08 .
% 0.42/1.08 clause( 169, [ =( multiply( 'double_divide'( X, inverse( X ) ), Y ), Y ) ]
% 0.42/1.08 )
% 0.42/1.08 .
% 0.42/1.08 clause( 173, [ =( multiply( multiply( X, inverse( X ) ), Y ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 178, [ =( multiply( multiply( inverse( X ), X ), Y ), Y ) ] )
% 0.42/1.08 .
% 0.42/1.08 clause( 185, [] )
% 0.42/1.08 .
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 % SZS output end Refutation
% 0.42/1.08 found a proof!
% 0.42/1.08
% 0.42/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.08
% 0.42/1.08 initialclauses(
% 0.42/1.08 [ clause( 187, [ =( 'double_divide'( inverse( 'double_divide'( inverse(
% 0.42/1.08 'double_divide'( X, inverse( Y ) ) ), Z ) ), 'double_divide'( X, Z ) ), Y
% 0.42/1.08 ) ] )
% 0.42/1.08 , clause( 188, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 189, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 0.42/1.08 ) ] )
% 0.42/1.08 ] ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 0, [ =( 'double_divide'( inverse( 'double_divide'( inverse(
% 0.42/1.08 'double_divide'( X, inverse( Y ) ) ), Z ) ), 'double_divide'( X, Z ) ), Y
% 0.42/1.08 ) ] )
% 0.42/1.08 , clause( 187, [ =( 'double_divide'( inverse( 'double_divide'( inverse(
% 0.42/1.08 'double_divide'( X, inverse( Y ) ) ), Z ) ), 'double_divide'( X, Z ) ), Y
% 0.42/1.08 ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 192, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 188, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.42/1.08 , clause( 192, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) )
% 0.42/1.08 ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 2, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 189, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 )
% 0.42/1.08 ) ] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 200, [ =( 'double_divide'( inverse( 'double_divide'( multiply(
% 0.42/1.08 inverse( Y ), X ), Z ) ), 'double_divide'( X, Z ) ), Y ) ] )
% 0.42/1.08 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 0, [ =( 'double_divide'( inverse( 'double_divide'( inverse(
% 0.42/1.08 'double_divide'( X, inverse( Y ) ) ), Z ) ), 'double_divide'( X, Z ) ), Y
% 0.42/1.08 ) ] )
% 0.42/1.08 , 0, 4, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ),
% 0.42/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 202, [ =( 'double_divide'( multiply( Z, multiply( inverse( X ), Y )
% 0.42/1.08 ), 'double_divide'( Y, Z ) ), X ) ] )
% 0.42/1.08 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 200, [ =( 'double_divide'( inverse( 'double_divide'( multiply(
% 0.42/1.08 inverse( Y ), X ), Z ) ), 'double_divide'( X, Z ) ), Y ) ] )
% 0.42/1.08 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, multiply( inverse( X ), Y ) )] )
% 0.42/1.08 , substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 3, [ =( 'double_divide'( multiply( Z, multiply( inverse( Y ), X ) )
% 0.42/1.08 , 'double_divide'( X, Z ) ), Y ) ] )
% 0.42/1.08 , clause( 202, [ =( 'double_divide'( multiply( Z, multiply( inverse( X ), Y
% 0.42/1.08 ) ), 'double_divide'( Y, Z ) ), X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 205, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 208, [ =( multiply( 'double_divide'( X, Y ), multiply( Y, multiply(
% 0.42/1.08 inverse( Z ), X ) ) ), inverse( Z ) ) ] )
% 0.42/1.08 , clause( 3, [ =( 'double_divide'( multiply( Z, multiply( inverse( Y ), X )
% 0.42/1.08 ), 'double_divide'( X, Z ) ), Y ) ] )
% 0.42/1.08 , 0, clause( 205, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.42/1.08 ) ] )
% 0.42/1.08 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.42/1.08 substitution( 1, [ :=( X, multiply( Y, multiply( inverse( Z ), X ) ) ),
% 0.42/1.08 :=( Y, 'double_divide'( X, Y ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 5, [ =( multiply( 'double_divide'( Z, X ), multiply( X, multiply(
% 0.42/1.08 inverse( Y ), Z ) ) ), inverse( Y ) ) ] )
% 0.42/1.08 , clause( 208, [ =( multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.42/1.08 multiply( inverse( Z ), X ) ) ), inverse( Z ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 211, [ =( Y, 'double_divide'( multiply( X, multiply( inverse( Y ),
% 0.42/1.08 Z ) ), 'double_divide'( Z, X ) ) ) ] )
% 0.42/1.08 , clause( 3, [ =( 'double_divide'( multiply( Z, multiply( inverse( Y ), X )
% 0.42/1.08 ), 'double_divide'( X, Z ) ), Y ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 214, [ =( 'double_divide'( X, Y ), 'double_divide'( multiply( Z,
% 0.42/1.08 multiply( multiply( Y, X ), T ) ), 'double_divide'( T, Z ) ) ) ] )
% 0.42/1.08 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 211, [ =( Y, 'double_divide'( multiply( X, multiply( inverse(
% 0.42/1.08 Y ), Z ) ), 'double_divide'( Z, X ) ) ) ] )
% 0.42/1.08 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.42/1.08 :=( X, Z ), :=( Y, 'double_divide'( X, Y ) ), :=( Z, T )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 215, [ =( 'double_divide'( multiply( Z, multiply( multiply( Y, X )
% 0.42/1.08 , T ) ), 'double_divide'( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.42/1.08 , clause( 214, [ =( 'double_divide'( X, Y ), 'double_divide'( multiply( Z,
% 0.42/1.08 multiply( multiply( Y, X ), T ) ), 'double_divide'( T, Z ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 6, [ =( 'double_divide'( multiply( Z, multiply( multiply( Y, X ), T
% 0.42/1.08 ) ), 'double_divide'( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.42/1.08 , clause( 215, [ =( 'double_divide'( multiply( Z, multiply( multiply( Y, X
% 0.42/1.08 ), T ) ), 'double_divide'( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 217, [ =( Y, 'double_divide'( multiply( X, multiply( inverse( Y ),
% 0.42/1.08 Z ) ), 'double_divide'( Z, X ) ) ) ] )
% 0.42/1.08 , clause( 3, [ =( 'double_divide'( multiply( Z, multiply( inverse( Y ), X )
% 0.42/1.08 ), 'double_divide'( X, Z ) ), Y ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 220, [ =( X, 'double_divide'( inverse( Z ), 'double_divide'(
% 0.42/1.08 multiply( inverse( Z ), Y ), 'double_divide'( Y, inverse( X ) ) ) ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 5, [ =( multiply( 'double_divide'( Z, X ), multiply( X, multiply(
% 0.42/1.08 inverse( Y ), Z ) ) ), inverse( Y ) ) ] )
% 0.42/1.08 , 0, clause( 217, [ =( Y, 'double_divide'( multiply( X, multiply( inverse(
% 0.42/1.08 Y ), Z ) ), 'double_divide'( Z, X ) ) ) ] )
% 0.42/1.08 , 0, 3, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Z ), :=( Z, Y )] )
% 0.42/1.08 , substitution( 1, [ :=( X, 'double_divide'( Y, inverse( X ) ) ), :=( Y,
% 0.42/1.08 X ), :=( Z, multiply( inverse( Z ), Y ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 221, [ =( 'double_divide'( inverse( Y ), 'double_divide'( multiply(
% 0.42/1.08 inverse( Y ), Z ), 'double_divide'( Z, inverse( X ) ) ) ), X ) ] )
% 0.42/1.08 , clause( 220, [ =( X, 'double_divide'( inverse( Z ), 'double_divide'(
% 0.42/1.08 multiply( inverse( Z ), Y ), 'double_divide'( Y, inverse( X ) ) ) ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 8, [ =( 'double_divide'( inverse( Z ), 'double_divide'( multiply(
% 0.42/1.08 inverse( Z ), X ), 'double_divide'( X, inverse( Y ) ) ) ), Y ) ] )
% 0.42/1.08 , clause( 221, [ =( 'double_divide'( inverse( Y ), 'double_divide'(
% 0.42/1.08 multiply( inverse( Y ), Z ), 'double_divide'( Z, inverse( X ) ) ) ), X )
% 0.42/1.08 ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 223, [ =( inverse( Z ), multiply( 'double_divide'( X, Y ), multiply(
% 0.42/1.08 Y, multiply( inverse( Z ), X ) ) ) ) ] )
% 0.42/1.08 , clause( 5, [ =( multiply( 'double_divide'( Z, X ), multiply( X, multiply(
% 0.42/1.08 inverse( Y ), Z ) ) ), inverse( Y ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 226, [ =( inverse( X ), multiply( Z, multiply( 'double_divide'( T,
% 0.42/1.08 Y ), multiply( inverse( X ), multiply( Y, multiply( inverse( Z ), T ) ) )
% 0.42/1.08 ) ) ) ] )
% 0.42/1.08 , clause( 3, [ =( 'double_divide'( multiply( Z, multiply( inverse( Y ), X )
% 0.42/1.08 ), 'double_divide'( X, Z ) ), Y ) ] )
% 0.42/1.08 , 0, clause( 223, [ =( inverse( Z ), multiply( 'double_divide'( X, Y ),
% 0.42/1.08 multiply( Y, multiply( inverse( Z ), X ) ) ) ) ] )
% 0.42/1.08 , 0, 4, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y )] ),
% 0.42/1.08 substitution( 1, [ :=( X, multiply( Y, multiply( inverse( Z ), T ) ) ),
% 0.42/1.08 :=( Y, 'double_divide'( T, Y ) ), :=( Z, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 227, [ =( multiply( Y, multiply( 'double_divide'( Z, T ), multiply(
% 0.42/1.08 inverse( X ), multiply( T, multiply( inverse( Y ), Z ) ) ) ) ), inverse(
% 0.42/1.08 X ) ) ] )
% 0.42/1.08 , clause( 226, [ =( inverse( X ), multiply( Z, multiply( 'double_divide'( T
% 0.42/1.08 , Y ), multiply( inverse( X ), multiply( Y, multiply( inverse( Z ), T ) )
% 0.42/1.08 ) ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 9, [ =( multiply( Y, multiply( 'double_divide'( Z, X ), multiply(
% 0.42/1.08 inverse( T ), multiply( X, multiply( inverse( Y ), Z ) ) ) ) ), inverse(
% 0.42/1.08 T ) ) ] )
% 0.42/1.08 , clause( 227, [ =( multiply( Y, multiply( 'double_divide'( Z, T ),
% 0.42/1.08 multiply( inverse( X ), multiply( T, multiply( inverse( Y ), Z ) ) ) ) )
% 0.42/1.08 , inverse( X ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 229, [ =( Z, 'double_divide'( inverse( X ), 'double_divide'(
% 0.42/1.08 multiply( inverse( X ), Y ), 'double_divide'( Y, inverse( Z ) ) ) ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 8, [ =( 'double_divide'( inverse( Z ), 'double_divide'( multiply(
% 0.42/1.08 inverse( Z ), X ), 'double_divide'( X, inverse( Y ) ) ) ), Y ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 233, [ =( X, 'double_divide'( inverse( 'double_divide'( Y, Z ) ),
% 0.42/1.08 'double_divide'( multiply( multiply( Z, Y ), T ), 'double_divide'( T,
% 0.42/1.08 inverse( X ) ) ) ) ) ] )
% 0.42/1.08 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 229, [ =( Z, 'double_divide'( inverse( X ), 'double_divide'(
% 0.42/1.08 multiply( inverse( X ), Y ), 'double_divide'( Y, inverse( Z ) ) ) ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.08 :=( X, 'double_divide'( Y, Z ) ), :=( Y, T ), :=( Z, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 235, [ =( X, 'double_divide'( multiply( Z, Y ), 'double_divide'(
% 0.42/1.08 multiply( multiply( Z, Y ), T ), 'double_divide'( T, inverse( X ) ) ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 233, [ =( X, 'double_divide'( inverse( 'double_divide'( Y, Z )
% 0.42/1.08 ), 'double_divide'( multiply( multiply( Z, Y ), T ), 'double_divide'( T
% 0.42/1.08 , inverse( X ) ) ) ) ) ] )
% 0.42/1.08 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 237, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'(
% 0.42/1.08 multiply( multiply( Y, Z ), T ), 'double_divide'( T, inverse( X ) ) ) ),
% 0.42/1.08 X ) ] )
% 0.42/1.08 , clause( 235, [ =( X, 'double_divide'( multiply( Z, Y ), 'double_divide'(
% 0.42/1.08 multiply( multiply( Z, Y ), T ), 'double_divide'( T, inverse( X ) ) ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, T )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 11, [ =( 'double_divide'( multiply( Y, X ), 'double_divide'(
% 0.42/1.08 multiply( multiply( Y, X ), Z ), 'double_divide'( Z, inverse( T ) ) ) ),
% 0.42/1.08 T ) ] )
% 0.42/1.08 , clause( 237, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'(
% 0.42/1.08 multiply( multiply( Y, Z ), T ), 'double_divide'( T, inverse( X ) ) ) ),
% 0.42/1.08 X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 240, [ =( inverse( T ), multiply( X, multiply( 'double_divide'( Y,
% 0.42/1.08 Z ), multiply( inverse( T ), multiply( Z, multiply( inverse( X ), Y ) ) )
% 0.42/1.08 ) ) ) ] )
% 0.42/1.08 , clause( 9, [ =( multiply( Y, multiply( 'double_divide'( Z, X ), multiply(
% 0.42/1.08 inverse( T ), multiply( X, multiply( inverse( Y ), Z ) ) ) ) ), inverse(
% 0.42/1.08 T ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 244, [ =( inverse( X ), multiply( Y, multiply( 'double_divide'(
% 0.42/1.08 multiply( Z, multiply( inverse( inverse( X ) ), T ) ), 'double_divide'( T
% 0.42/1.08 , Z ) ), inverse( Y ) ) ) ) ] )
% 0.42/1.08 , clause( 9, [ =( multiply( Y, multiply( 'double_divide'( Z, X ), multiply(
% 0.42/1.08 inverse( T ), multiply( X, multiply( inverse( Y ), Z ) ) ) ) ), inverse(
% 0.42/1.08 T ) ) ] )
% 0.42/1.08 , 0, clause( 240, [ =( inverse( T ), multiply( X, multiply( 'double_divide'(
% 0.42/1.08 Y, Z ), multiply( inverse( T ), multiply( Z, multiply( inverse( X ), Y )
% 0.42/1.08 ) ) ) ) ) ] )
% 0.42/1.08 , 0, 17, substitution( 0, [ :=( X, Z ), :=( Y, inverse( X ) ), :=( Z, T ),
% 0.42/1.08 :=( T, Y )] ), substitution( 1, [ :=( X, Y ), :=( Y, multiply( Z,
% 0.42/1.08 multiply( inverse( inverse( X ) ), T ) ) ), :=( Z, 'double_divide'( T, Z
% 0.42/1.08 ) ), :=( T, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 246, [ =( inverse( X ), multiply( Y, multiply( inverse( X ),
% 0.42/1.08 inverse( Y ) ) ) ) ] )
% 0.42/1.08 , clause( 3, [ =( 'double_divide'( multiply( Z, multiply( inverse( Y ), X )
% 0.42/1.08 ), 'double_divide'( X, Z ) ), Y ) ] )
% 0.42/1.08 , 0, clause( 244, [ =( inverse( X ), multiply( Y, multiply( 'double_divide'(
% 0.42/1.08 multiply( Z, multiply( inverse( inverse( X ) ), T ) ), 'double_divide'( T
% 0.42/1.08 , Z ) ), inverse( Y ) ) ) ) ] )
% 0.42/1.08 , 0, 6, substitution( 0, [ :=( X, T ), :=( Y, inverse( X ) ), :=( Z, Z )] )
% 0.42/1.08 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 247, [ =( multiply( Y, multiply( inverse( X ), inverse( Y ) ) ),
% 0.42/1.08 inverse( X ) ) ] )
% 0.42/1.08 , clause( 246, [ =( inverse( X ), multiply( Y, multiply( inverse( X ),
% 0.42/1.08 inverse( Y ) ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 15, [ =( multiply( T, multiply( inverse( X ), inverse( T ) ) ),
% 0.42/1.08 inverse( X ) ) ] )
% 0.42/1.08 , clause( 247, [ =( multiply( Y, multiply( inverse( X ), inverse( Y ) ) ),
% 0.42/1.08 inverse( X ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, T )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 249, [ =( inverse( Z ), multiply( 'double_divide'( X, Y ), multiply(
% 0.42/1.08 Y, multiply( inverse( Z ), X ) ) ) ) ] )
% 0.42/1.08 , clause( 5, [ =( multiply( 'double_divide'( Z, X ), multiply( X, multiply(
% 0.42/1.08 inverse( Y ), Z ) ) ), inverse( Y ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 250, [ =( inverse( X ), multiply( 'double_divide'( inverse( Y ), Y
% 0.42/1.08 ), inverse( X ) ) ) ] )
% 0.42/1.08 , clause( 15, [ =( multiply( T, multiply( inverse( X ), inverse( T ) ) ),
% 0.42/1.08 inverse( X ) ) ] )
% 0.42/1.08 , 0, clause( 249, [ =( inverse( Z ), multiply( 'double_divide'( X, Y ),
% 0.42/1.08 multiply( Y, multiply( inverse( Z ), X ) ) ) ) ] )
% 0.42/1.08 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.42/1.08 , substitution( 1, [ :=( X, inverse( Y ) ), :=( Y, Y ), :=( Z, X )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 252, [ =( multiply( 'double_divide'( inverse( Y ), Y ), inverse( X
% 0.42/1.08 ) ), inverse( X ) ) ] )
% 0.42/1.08 , clause( 250, [ =( inverse( X ), multiply( 'double_divide'( inverse( Y ),
% 0.42/1.08 Y ), inverse( X ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 31, [ =( multiply( 'double_divide'( inverse( X ), X ), inverse( Y )
% 0.42/1.08 ), inverse( Y ) ) ] )
% 0.42/1.08 , clause( 252, [ =( multiply( 'double_divide'( inverse( Y ), Y ), inverse(
% 0.42/1.08 X ) ), inverse( X ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 255, [ =( inverse( Y ), multiply( 'double_divide'( inverse( X ), X
% 0.42/1.08 ), inverse( Y ) ) ) ] )
% 0.42/1.08 , clause( 31, [ =( multiply( 'double_divide'( inverse( X ), X ), inverse( Y
% 0.42/1.08 ) ), inverse( Y ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 259, [ =( inverse( 'double_divide'( X, Y ) ), multiply(
% 0.42/1.08 'double_divide'( inverse( Z ), Z ), multiply( Y, X ) ) ) ] )
% 0.42/1.08 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 255, [ =( inverse( Y ), multiply( 'double_divide'( inverse( X
% 0.42/1.08 ), X ), inverse( Y ) ) ) ] )
% 0.42/1.08 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.42/1.08 :=( X, Z ), :=( Y, 'double_divide'( X, Y ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 261, [ =( multiply( Y, X ), multiply( 'double_divide'( inverse( Z )
% 0.42/1.08 , Z ), multiply( Y, X ) ) ) ] )
% 0.42/1.08 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 259, [ =( inverse( 'double_divide'( X, Y ) ), multiply(
% 0.42/1.08 'double_divide'( inverse( Z ), Z ), multiply( Y, X ) ) ) ] )
% 0.42/1.08 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.42/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 263, [ =( multiply( 'double_divide'( inverse( Z ), Z ), multiply( X
% 0.42/1.08 , Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.08 , clause( 261, [ =( multiply( Y, X ), multiply( 'double_divide'( inverse( Z
% 0.42/1.08 ), Z ), multiply( Y, X ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 42, [ =( multiply( 'double_divide'( inverse( Z ), Z ), multiply( Y
% 0.42/1.08 , X ) ), multiply( Y, X ) ) ] )
% 0.42/1.08 , clause( 263, [ =( multiply( 'double_divide'( inverse( Z ), Z ), multiply(
% 0.42/1.08 X, Y ) ), multiply( X, Y ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 266, [ =( multiply( Y, Z ), multiply( 'double_divide'( inverse( X )
% 0.42/1.08 , X ), multiply( Y, Z ) ) ) ] )
% 0.42/1.08 , clause( 42, [ =( multiply( 'double_divide'( inverse( Z ), Z ), multiply(
% 0.42/1.08 Y, X ) ), multiply( Y, X ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 271, [ =( multiply( inverse( X ), inverse( 'double_divide'( inverse(
% 0.42/1.08 Y ), Y ) ) ), inverse( X ) ) ] )
% 0.42/1.08 , clause( 15, [ =( multiply( T, multiply( inverse( X ), inverse( T ) ) ),
% 0.42/1.08 inverse( X ) ) ] )
% 0.42/1.08 , 0, clause( 266, [ =( multiply( Y, Z ), multiply( 'double_divide'( inverse(
% 0.42/1.08 X ), X ), multiply( Y, Z ) ) ) ] )
% 0.42/1.08 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T,
% 0.42/1.08 'double_divide'( inverse( Y ), Y ) )] ), substitution( 1, [ :=( X, Y ),
% 0.42/1.08 :=( Y, inverse( X ) ), :=( Z, inverse( 'double_divide'( inverse( Y ), Y )
% 0.42/1.08 ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 273, [ =( multiply( inverse( X ), multiply( Y, inverse( Y ) ) ),
% 0.42/1.08 inverse( X ) ) ] )
% 0.42/1.08 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 271, [ =( multiply( inverse( X ), inverse( 'double_divide'(
% 0.42/1.08 inverse( Y ), Y ) ) ), inverse( X ) ) ] )
% 0.42/1.08 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, inverse( Y ) )] ),
% 0.42/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 44, [ =( multiply( inverse( Y ), multiply( X, inverse( X ) ) ),
% 0.42/1.08 inverse( Y ) ) ] )
% 0.42/1.08 , clause( 273, [ =( multiply( inverse( X ), multiply( Y, inverse( Y ) ) ),
% 0.42/1.08 inverse( X ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 276, [ =( 'double_divide'( Z, Y ), 'double_divide'( multiply( X,
% 0.42/1.08 multiply( multiply( Y, Z ), T ) ), 'double_divide'( T, X ) ) ) ] )
% 0.42/1.08 , clause( 6, [ =( 'double_divide'( multiply( Z, multiply( multiply( Y, X )
% 0.42/1.08 , T ) ), 'double_divide'( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X ), :=( T, T )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 279, [ =( 'double_divide'( multiply( X, inverse( X ) ), inverse( Y
% 0.42/1.08 ) ), 'double_divide'( multiply( Z, multiply( inverse( Y ), T ) ),
% 0.42/1.08 'double_divide'( T, Z ) ) ) ] )
% 0.42/1.08 , clause( 44, [ =( multiply( inverse( Y ), multiply( X, inverse( X ) ) ),
% 0.42/1.08 inverse( Y ) ) ] )
% 0.42/1.08 , 0, clause( 276, [ =( 'double_divide'( Z, Y ), 'double_divide'( multiply(
% 0.42/1.08 X, multiply( multiply( Y, Z ), T ) ), 'double_divide'( T, X ) ) ) ] )
% 0.42/1.08 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.08 :=( X, Z ), :=( Y, inverse( Y ) ), :=( Z, multiply( X, inverse( X ) ) ),
% 0.42/1.08 :=( T, T )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 280, [ =( 'double_divide'( multiply( X, inverse( X ) ), inverse( Y
% 0.42/1.08 ) ), Y ) ] )
% 0.42/1.08 , clause( 3, [ =( 'double_divide'( multiply( Z, multiply( inverse( Y ), X )
% 0.42/1.08 ), 'double_divide'( X, Z ) ), Y ) ] )
% 0.42/1.08 , 0, clause( 279, [ =( 'double_divide'( multiply( X, inverse( X ) ),
% 0.42/1.08 inverse( Y ) ), 'double_divide'( multiply( Z, multiply( inverse( Y ), T )
% 0.42/1.08 ), 'double_divide'( T, Z ) ) ) ] )
% 0.42/1.08 , 0, 8, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 55, [ =( 'double_divide'( multiply( Y, inverse( Y ) ), inverse( X )
% 0.42/1.08 ), X ) ] )
% 0.42/1.08 , clause( 280, [ =( 'double_divide'( multiply( X, inverse( X ) ), inverse(
% 0.42/1.08 Y ) ), Y ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 283, [ =( inverse( X ), multiply( inverse( X ), multiply( Y,
% 0.42/1.08 inverse( Y ) ) ) ) ] )
% 0.42/1.08 , clause( 44, [ =( multiply( inverse( Y ), multiply( X, inverse( X ) ) ),
% 0.42/1.08 inverse( Y ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 287, [ =( inverse( 'double_divide'( X, Y ) ), multiply( multiply( Y
% 0.42/1.08 , X ), multiply( Z, inverse( Z ) ) ) ) ] )
% 0.42/1.08 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 283, [ =( inverse( X ), multiply( inverse( X ), multiply( Y,
% 0.42/1.08 inverse( Y ) ) ) ) ] )
% 0.42/1.08 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.42/1.08 :=( X, 'double_divide'( X, Y ) ), :=( Y, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 289, [ =( multiply( Y, X ), multiply( multiply( Y, X ), multiply( Z
% 0.42/1.08 , inverse( Z ) ) ) ) ] )
% 0.42/1.08 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 287, [ =( inverse( 'double_divide'( X, Y ) ), multiply(
% 0.42/1.08 multiply( Y, X ), multiply( Z, inverse( Z ) ) ) ) ] )
% 0.42/1.08 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.42/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 291, [ =( multiply( multiply( X, Y ), multiply( Z, inverse( Z ) ) )
% 0.42/1.08 , multiply( X, Y ) ) ] )
% 0.42/1.08 , clause( 289, [ =( multiply( Y, X ), multiply( multiply( Y, X ), multiply(
% 0.42/1.08 Z, inverse( Z ) ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 64, [ =( multiply( multiply( Y, X ), multiply( Z, inverse( Z ) ) )
% 0.42/1.08 , multiply( Y, X ) ) ] )
% 0.42/1.08 , clause( 291, [ =( multiply( multiply( X, Y ), multiply( Z, inverse( Z ) )
% 0.42/1.08 ), multiply( X, Y ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 295, [ =( T, 'double_divide'( multiply( X, Y ), 'double_divide'(
% 0.42/1.08 multiply( multiply( X, Y ), Z ), 'double_divide'( Z, inverse( T ) ) ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 11, [ =( 'double_divide'( multiply( Y, X ), 'double_divide'(
% 0.42/1.08 multiply( multiply( Y, X ), Z ), 'double_divide'( Z, inverse( T ) ) ) ),
% 0.42/1.08 T ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 297, [ =( X, 'double_divide'( multiply( Y, Z ), 'double_divide'(
% 0.42/1.08 multiply( multiply( Y, Z ), multiply( T, inverse( T ) ) ), X ) ) ) ] )
% 0.42/1.08 , clause( 55, [ =( 'double_divide'( multiply( Y, inverse( Y ) ), inverse( X
% 0.42/1.08 ) ), X ) ] )
% 0.42/1.08 , 0, clause( 295, [ =( T, 'double_divide'( multiply( X, Y ),
% 0.42/1.08 'double_divide'( multiply( multiply( X, Y ), Z ), 'double_divide'( Z,
% 0.42/1.08 inverse( T ) ) ) ) ) ] )
% 0.42/1.08 , 0, 15, substitution( 0, [ :=( X, X ), :=( Y, T )] ), substitution( 1, [
% 0.42/1.08 :=( X, Y ), :=( Y, Z ), :=( Z, multiply( T, inverse( T ) ) ), :=( T, X )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 298, [ =( X, 'double_divide'( multiply( Y, Z ), 'double_divide'(
% 0.42/1.08 multiply( Y, Z ), X ) ) ) ] )
% 0.42/1.08 , clause( 64, [ =( multiply( multiply( Y, X ), multiply( Z, inverse( Z ) )
% 0.42/1.08 ), multiply( Y, X ) ) ] )
% 0.42/1.08 , 0, clause( 297, [ =( X, 'double_divide'( multiply( Y, Z ),
% 0.42/1.08 'double_divide'( multiply( multiply( Y, Z ), multiply( T, inverse( T ) )
% 0.42/1.08 ), X ) ) ) ] )
% 0.42/1.08 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T )] ),
% 0.42/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 299, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'(
% 0.42/1.08 multiply( Y, Z ), X ) ), X ) ] )
% 0.42/1.08 , clause( 298, [ =( X, 'double_divide'( multiply( Y, Z ), 'double_divide'(
% 0.42/1.08 multiply( Y, Z ), X ) ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 66, [ =( 'double_divide'( multiply( Z, T ), 'double_divide'(
% 0.42/1.08 multiply( Z, T ), Y ) ), Y ) ] )
% 0.42/1.08 , clause( 299, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'(
% 0.42/1.08 multiply( Y, Z ), X ) ), X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.42/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 301, [ =( Z, 'double_divide'( multiply( X, Y ), 'double_divide'(
% 0.42/1.08 multiply( X, Y ), Z ) ) ) ] )
% 0.42/1.08 , clause( 66, [ =( 'double_divide'( multiply( Z, T ), 'double_divide'(
% 0.42/1.08 multiply( Z, T ), Y ) ), Y ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 302, [ =( inverse( X ), 'double_divide'( multiply( Y, inverse( Y )
% 0.42/1.08 ), X ) ) ] )
% 0.42/1.08 , clause( 55, [ =( 'double_divide'( multiply( Y, inverse( Y ) ), inverse( X
% 0.42/1.08 ) ), X ) ] )
% 0.42/1.08 , 0, clause( 301, [ =( Z, 'double_divide'( multiply( X, Y ),
% 0.42/1.08 'double_divide'( multiply( X, Y ), Z ) ) ) ] )
% 0.42/1.08 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.08 :=( X, Y ), :=( Y, inverse( Y ) ), :=( Z, inverse( X ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 303, [ =( 'double_divide'( multiply( Y, inverse( Y ) ), X ),
% 0.42/1.08 inverse( X ) ) ] )
% 0.42/1.08 , clause( 302, [ =( inverse( X ), 'double_divide'( multiply( Y, inverse( Y
% 0.42/1.08 ) ), X ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 95, [ =( 'double_divide'( multiply( X, inverse( X ) ), Y ), inverse(
% 0.42/1.08 Y ) ) ] )
% 0.42/1.08 , clause( 303, [ =( 'double_divide'( multiply( Y, inverse( Y ) ), X ),
% 0.42/1.08 inverse( X ) ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 304, [ =( inverse( Y ), 'double_divide'( multiply( X, inverse( X )
% 0.42/1.08 ), Y ) ) ] )
% 0.42/1.08 , clause( 95, [ =( 'double_divide'( multiply( X, inverse( X ) ), Y ),
% 0.42/1.08 inverse( Y ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 306, [ =( inverse( inverse( X ) ), X ) ] )
% 0.42/1.08 , clause( 55, [ =( 'double_divide'( multiply( Y, inverse( Y ) ), inverse( X
% 0.42/1.08 ) ), X ) ] )
% 0.42/1.08 , 0, clause( 304, [ =( inverse( Y ), 'double_divide'( multiply( X, inverse(
% 0.42/1.08 X ) ), Y ) ) ] )
% 0.42/1.08 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.08 :=( X, Y ), :=( Y, inverse( X ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 106, [ =( inverse( inverse( Y ) ), Y ) ] )
% 0.42/1.08 , clause( 306, [ =( inverse( inverse( X ) ), X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 309, [ =( inverse( Y ), multiply( 'double_divide'( inverse( X ), X
% 0.42/1.08 ), inverse( Y ) ) ) ] )
% 0.42/1.08 , clause( 31, [ =( multiply( 'double_divide'( inverse( X ), X ), inverse( Y
% 0.42/1.08 ) ), inverse( Y ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 311, [ =( inverse( inverse( X ) ), multiply( 'double_divide'(
% 0.42/1.08 inverse( Y ), Y ), X ) ) ] )
% 0.42/1.08 , clause( 106, [ =( inverse( inverse( Y ) ), Y ) ] )
% 0.42/1.08 , 0, clause( 309, [ =( inverse( Y ), multiply( 'double_divide'( inverse( X
% 0.42/1.08 ), X ), inverse( Y ) ) ) ] )
% 0.42/1.08 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.42/1.08 :=( X, Y ), :=( Y, inverse( X ) )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 313, [ =( X, multiply( 'double_divide'( inverse( Y ), Y ), X ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 106, [ =( inverse( inverse( Y ) ), Y ) ] )
% 0.42/1.08 , 0, clause( 311, [ =( inverse( inverse( X ) ), multiply( 'double_divide'(
% 0.42/1.08 inverse( Y ), Y ), X ) ) ] )
% 0.42/1.08 , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.42/1.08 :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 315, [ =( multiply( 'double_divide'( inverse( Y ), Y ), X ), X ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 313, [ =( X, multiply( 'double_divide'( inverse( Y ), Y ), X ) )
% 0.42/1.08 ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 126, [ =( multiply( 'double_divide'( inverse( Y ), Y ), X ), X ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 315, [ =( multiply( 'double_divide'( inverse( Y ), Y ), X ), X )
% 0.42/1.08 ] )
% 0.42/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 319, [ =( Y, multiply( 'double_divide'( inverse( X ), X ), Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 126, [ =( multiply( 'double_divide'( inverse( Y ), Y ), X ), X )
% 0.42/1.08 ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 320, [ =( X, multiply( 'double_divide'( Y, inverse( Y ) ), X ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 106, [ =( inverse( inverse( Y ) ), Y ) ] )
% 0.42/1.08 , 0, clause( 319, [ =( Y, multiply( 'double_divide'( inverse( X ), X ), Y )
% 0.42/1.08 ) ] )
% 0.42/1.08 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.42/1.08 :=( X, inverse( Y ) ), :=( Y, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 321, [ =( multiply( 'double_divide'( Y, inverse( Y ) ), X ), X ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 320, [ =( X, multiply( 'double_divide'( Y, inverse( Y ) ), X ) )
% 0.42/1.08 ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 169, [ =( multiply( 'double_divide'( X, inverse( X ) ), Y ), Y ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 321, [ =( multiply( 'double_divide'( Y, inverse( Y ) ), X ), X )
% 0.42/1.08 ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 323, [ =( Y, multiply( 'double_divide'( X, inverse( X ) ), Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , clause( 169, [ =( multiply( 'double_divide'( X, inverse( X ) ), Y ), Y )
% 0.42/1.08 ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 326, [ =( X, multiply( inverse( inverse( multiply( Y, inverse( Y )
% 0.42/1.08 ) ) ), X ) ) ] )
% 0.42/1.08 , clause( 95, [ =( 'double_divide'( multiply( X, inverse( X ) ), Y ),
% 0.42/1.08 inverse( Y ) ) ] )
% 0.42/1.08 , 0, clause( 323, [ =( Y, multiply( 'double_divide'( X, inverse( X ) ), Y )
% 0.42/1.08 ) ] )
% 0.42/1.08 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( multiply( Y, inverse(
% 0.42/1.08 Y ) ) ) )] ), substitution( 1, [ :=( X, multiply( Y, inverse( Y ) ) ),
% 0.42/1.08 :=( Y, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 327, [ =( X, multiply( multiply( Y, inverse( Y ) ), X ) ) ] )
% 0.42/1.08 , clause( 106, [ =( inverse( inverse( Y ) ), Y ) ] )
% 0.42/1.08 , 0, clause( 326, [ =( X, multiply( inverse( inverse( multiply( Y, inverse(
% 0.42/1.08 Y ) ) ) ), X ) ) ] )
% 0.42/1.08 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, multiply( Y, inverse( Y ) ) )] )
% 0.42/1.08 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 328, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.42/1.08 , clause( 327, [ =( X, multiply( multiply( Y, inverse( Y ) ), X ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 173, [ =( multiply( multiply( X, inverse( X ) ), Y ), Y ) ] )
% 0.42/1.08 , clause( 328, [ =( multiply( multiply( Y, inverse( Y ) ), X ), X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 330, [ =( Y, multiply( multiply( X, inverse( X ) ), Y ) ) ] )
% 0.42/1.08 , clause( 173, [ =( multiply( multiply( X, inverse( X ) ), Y ), Y ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 332, [ =( X, multiply( inverse( 'double_divide'( Y, inverse( Y ) )
% 0.42/1.08 ), X ) ) ] )
% 0.42/1.08 , clause( 169, [ =( multiply( 'double_divide'( X, inverse( X ) ), Y ), Y )
% 0.42/1.08 ] )
% 0.42/1.08 , 0, clause( 330, [ =( Y, multiply( multiply( X, inverse( X ) ), Y ) ) ] )
% 0.42/1.08 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, inverse( 'double_divide'( Y,
% 0.42/1.08 inverse( Y ) ) ) )] ), substitution( 1, [ :=( X, 'double_divide'( Y,
% 0.42/1.08 inverse( Y ) ) ), :=( Y, X )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 paramod(
% 0.42/1.08 clause( 333, [ =( X, multiply( multiply( inverse( Y ), Y ), X ) ) ] )
% 0.42/1.08 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.42/1.08 )
% 0.42/1.08 , 0, clause( 332, [ =( X, multiply( inverse( 'double_divide'( Y, inverse( Y
% 0.42/1.08 ) ) ), X ) ) ] )
% 0.42/1.08 , 0, 3, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, Y )] ),
% 0.42/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 334, [ =( multiply( multiply( inverse( Y ), Y ), X ), X ) ] )
% 0.42/1.08 , clause( 333, [ =( X, multiply( multiply( inverse( Y ), Y ), X ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 178, [ =( multiply( multiply( inverse( X ), X ), Y ), Y ) ] )
% 0.42/1.08 , clause( 334, [ =( multiply( multiply( inverse( Y ), Y ), X ), X ) ] )
% 0.42/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.08 )] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 335, [ =( Y, multiply( multiply( inverse( X ), X ), Y ) ) ] )
% 0.42/1.08 , clause( 178, [ =( multiply( multiply( inverse( X ), X ), Y ), Y ) ] )
% 0.42/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 eqswap(
% 0.42/1.08 clause( 336, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) ) )
% 0.42/1.08 ] )
% 0.42/1.08 , clause( 2, [ ~( =( multiply( multiply( inverse( b2 ), b2 ), a2 ), a2 ) )
% 0.42/1.08 ] )
% 0.42/1.08 , 0, substitution( 0, [] )).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 resolution(
% 0.42/1.08 clause( 337, [] )
% 0.42/1.08 , clause( 336, [ ~( =( a2, multiply( multiply( inverse( b2 ), b2 ), a2 ) )
% 0.42/1.08 ) ] )
% 0.42/1.08 , 0, clause( 335, [ =( Y, multiply( multiply( inverse( X ), X ), Y ) ) ] )
% 0.42/1.08 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, b2 ), :=( Y, a2 )] )
% 0.42/1.08 ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 subsumption(
% 0.42/1.08 clause( 185, [] )
% 0.42/1.08 , clause( 337, [] )
% 0.42/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 end.
% 0.42/1.08
% 0.42/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.08
% 0.42/1.08 Memory use:
% 0.42/1.08
% 0.42/1.08 space for terms: 2527
% 0.42/1.08 space for clauses: 23224
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 clauses generated: 779
% 0.42/1.08 clauses kept: 186
% 0.42/1.08 clauses selected: 33
% 0.42/1.08 clauses deleted: 4
% 0.42/1.08 clauses inuse deleted: 0
% 0.42/1.08
% 0.42/1.08 subsentry: 519
% 0.42/1.08 literals s-matched: 176
% 0.42/1.08 literals matched: 174
% 0.42/1.08 full subsumption: 0
% 0.42/1.08
% 0.42/1.08 checksum: -313592218
% 0.42/1.08
% 0.42/1.08
% 0.42/1.08 Bliksem ended
%------------------------------------------------------------------------------