TSTP Solution File: GRP597-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP597-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 07:37:48 EDT 2022
% Result : Unsatisfiable 0.46s 1.10s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP597-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.14 % Command : bliksem %s
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % DateTime : Mon Jun 13 04:16:25 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.46/1.10 *** allocated 10000 integers for termspace/termends
% 0.46/1.10 *** allocated 10000 integers for clauses
% 0.46/1.10 *** allocated 10000 integers for justifications
% 0.46/1.10 Bliksem 1.12
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Automatic Strategy Selection
% 0.46/1.10
% 0.46/1.10 Clauses:
% 0.46/1.10 [
% 0.46/1.10 [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( 'double_divide'(
% 0.46/1.10 X, inverse( 'double_divide'( inverse( Z ), Y ) ) ) ) ), Z ) ],
% 0.46/1.10 [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) ) ],
% 0.46/1.10 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 0.46/1.10 ]
% 0.46/1.10 ] .
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 percentage equality = 1.000000, percentage horn = 1.000000
% 0.46/1.10 This is a pure equality problem
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Options Used:
% 0.46/1.10
% 0.46/1.10 useres = 1
% 0.46/1.10 useparamod = 1
% 0.46/1.10 useeqrefl = 1
% 0.46/1.10 useeqfact = 1
% 0.46/1.10 usefactor = 1
% 0.46/1.10 usesimpsplitting = 0
% 0.46/1.10 usesimpdemod = 5
% 0.46/1.10 usesimpres = 3
% 0.46/1.10
% 0.46/1.10 resimpinuse = 1000
% 0.46/1.10 resimpclauses = 20000
% 0.46/1.10 substype = eqrewr
% 0.46/1.10 backwardsubs = 1
% 0.46/1.10 selectoldest = 5
% 0.46/1.10
% 0.46/1.10 litorderings [0] = split
% 0.46/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.46/1.10
% 0.46/1.10 termordering = kbo
% 0.46/1.10
% 0.46/1.10 litapriori = 0
% 0.46/1.10 termapriori = 1
% 0.46/1.10 litaposteriori = 0
% 0.46/1.10 termaposteriori = 0
% 0.46/1.10 demodaposteriori = 0
% 0.46/1.10 ordereqreflfact = 0
% 0.46/1.10
% 0.46/1.10 litselect = negord
% 0.46/1.10
% 0.46/1.10 maxweight = 15
% 0.46/1.10 maxdepth = 30000
% 0.46/1.10 maxlength = 115
% 0.46/1.10 maxnrvars = 195
% 0.46/1.10 excuselevel = 1
% 0.46/1.10 increasemaxweight = 1
% 0.46/1.10
% 0.46/1.10 maxselected = 10000000
% 0.46/1.10 maxnrclauses = 10000000
% 0.46/1.10
% 0.46/1.10 showgenerated = 0
% 0.46/1.10 showkept = 0
% 0.46/1.10 showselected = 0
% 0.46/1.10 showdeleted = 0
% 0.46/1.10 showresimp = 1
% 0.46/1.10 showstatus = 2000
% 0.46/1.10
% 0.46/1.10 prologoutput = 1
% 0.46/1.10 nrgoals = 5000000
% 0.46/1.10 totalproof = 1
% 0.46/1.10
% 0.46/1.10 Symbols occurring in the translation:
% 0.46/1.10
% 0.46/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.46/1.10 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.46/1.10 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.46/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.10 'double_divide' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.46/1.10 inverse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.46/1.10 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.46/1.10 a1 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.46/1.10 b1 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Starting Search:
% 0.46/1.10
% 0.46/1.10 Resimplifying inuse:
% 0.46/1.10 Done
% 0.46/1.10
% 0.46/1.10 Failed to find proof!
% 0.46/1.10 maxweight = 15
% 0.46/1.10 maxnrclauses = 10000000
% 0.46/1.10 Generated: 60
% 0.46/1.10 Kept: 9
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 The strategy used was not complete!
% 0.46/1.10
% 0.46/1.10 Increased maxweight to 16
% 0.46/1.10
% 0.46/1.10 Starting Search:
% 0.46/1.10
% 0.46/1.10 Resimplifying inuse:
% 0.46/1.10 Done
% 0.46/1.10
% 0.46/1.10 Failed to find proof!
% 0.46/1.10 maxweight = 16
% 0.46/1.10 maxnrclauses = 10000000
% 0.46/1.10 Generated: 74
% 0.46/1.10 Kept: 10
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 The strategy used was not complete!
% 0.46/1.10
% 0.46/1.10 Increased maxweight to 17
% 0.46/1.10
% 0.46/1.10 Starting Search:
% 0.46/1.10
% 0.46/1.10 Resimplifying inuse:
% 0.46/1.10 Done
% 0.46/1.10
% 0.46/1.10 Failed to find proof!
% 0.46/1.10 maxweight = 17
% 0.46/1.10 maxnrclauses = 10000000
% 0.46/1.10 Generated: 150
% 0.46/1.10 Kept: 14
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 The strategy used was not complete!
% 0.46/1.10
% 0.46/1.10 Increased maxweight to 18
% 0.46/1.10
% 0.46/1.10 Starting Search:
% 0.46/1.10
% 0.46/1.10
% 0.46/1.10 Bliksems!, er is een bewijs:
% 0.46/1.10 % SZS status Unsatisfiable
% 0.46/1.10 % SZS output start Refutation
% 0.46/1.10
% 0.46/1.10 clause( 0, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.46/1.10 'double_divide'( X, inverse( 'double_divide'( inverse( Z ), Y ) ) ) ) ),
% 0.46/1.10 Z ) ] )
% 0.46/1.10 .
% 0.46/1.10 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.46/1.10 .
% 0.46/1.10 clause( 2, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.46/1.11 a1 ) ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 3, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply(
% 0.46/1.11 multiply( Y, inverse( Z ) ), X ) ), Z ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 5, [ =( multiply( multiply( multiply( Y, inverse( Z ) ), X ),
% 0.46/1.11 'double_divide'( X, Y ) ), inverse( Z ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 8, [ =( 'double_divide'( 'double_divide'( 'double_divide'( inverse(
% 0.46/1.11 Z ), X ), multiply( X, inverse( Y ) ) ), inverse( Y ) ), Z ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 9, [ =( multiply( multiply( multiply( multiply( multiply( Y,
% 0.46/1.11 inverse( Z ) ), X ), inverse( T ) ), 'double_divide'( X, Y ) ), Z ),
% 0.46/1.11 inverse( T ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 11, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 multiply( Y, X ), Z ), multiply( Z, inverse( T ) ) ), inverse( T ) ),
% 0.46/1.11 'double_divide'( X, Y ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 15, [ =( multiply( multiply( inverse( T ), inverse( Y ) ), T ),
% 0.46/1.11 inverse( Y ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 31, [ =( multiply( inverse( Y ), 'double_divide'( X, inverse( X ) )
% 0.46/1.11 ), inverse( Y ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 33, [ =( 'double_divide'( 'double_divide'( X, inverse( X ) ),
% 0.46/1.11 inverse( Y ) ), Y ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 41, [ =( multiply( multiply( Y, X ), 'double_divide'( Z, inverse( Z
% 0.46/1.11 ) ) ), multiply( Y, X ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 43, [ =( multiply( multiply( inverse( X ), X ), inverse( Y ) ),
% 0.46/1.11 inverse( Y ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 51, [ =( 'double_divide'( inverse( Y ), multiply( inverse( X ), X )
% 0.46/1.11 ), Y ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 57, [ =( 'double_divide'( 'double_divide'( Z, inverse( Y ) ),
% 0.46/1.11 inverse( Y ) ), Z ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 73, [ =( 'double_divide'( Y, inverse( Y ) ), 'double_divide'( X,
% 0.46/1.11 inverse( X ) ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 82, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X ) )
% 0.46/1.11 ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 91, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.46/1.11 a1 ) ) ) ] )
% 0.46/1.11 .
% 0.46/1.11 clause( 93, [] )
% 0.46/1.11 .
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 % SZS output end Refutation
% 0.46/1.11 found a proof!
% 0.46/1.11
% 0.46/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.11
% 0.46/1.11 initialclauses(
% 0.46/1.11 [ clause( 95, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.46/1.11 'double_divide'( X, inverse( 'double_divide'( inverse( Z ), Y ) ) ) ) ),
% 0.46/1.11 Z ) ] )
% 0.46/1.11 , clause( 96, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) ) ]
% 0.46/1.11 )
% 0.46/1.11 , clause( 97, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.46/1.11 ), b1 ) ) ) ] )
% 0.46/1.11 ] ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 0, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.46/1.11 'double_divide'( X, inverse( 'double_divide'( inverse( Z ), Y ) ) ) ) ),
% 0.46/1.11 Z ) ] )
% 0.46/1.11 , clause( 95, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.46/1.11 'double_divide'( X, inverse( 'double_divide'( inverse( Z ), Y ) ) ) ) ),
% 0.46/1.11 Z ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.46/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 100, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.46/1.11 )
% 0.46/1.11 , clause( 96, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) ) ]
% 0.46/1.11 )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.46/1.11 , clause( 100, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) )
% 0.46/1.11 ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.11 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 103, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.46/1.11 , a1 ) ) ) ] )
% 0.46/1.11 , clause( 97, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.46/1.11 ), b1 ) ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 2, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.46/1.11 a1 ) ) ) ] )
% 0.46/1.11 , clause( 103, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.46/1.11 ), a1 ) ) ) ] )
% 0.46/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 108, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.46/1.11 'double_divide'( X, multiply( Y, inverse( Z ) ) ) ) ), Z ) ] )
% 0.46/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.46/1.11 )
% 0.46/1.11 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.46/1.11 'double_divide'( X, inverse( 'double_divide'( inverse( Z ), Y ) ) ) ) ),
% 0.46/1.11 Z ) ] )
% 0.46/1.11 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, inverse( Z ) )] ),
% 0.46/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 110, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply(
% 0.46/1.11 multiply( Y, inverse( Z ) ), X ) ), Z ) ] )
% 0.46/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.46/1.11 )
% 0.46/1.11 , 0, clause( 108, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.46/1.11 'double_divide'( X, multiply( Y, inverse( Z ) ) ) ) ), Z ) ] )
% 0.46/1.11 , 0, 5, substitution( 0, [ :=( X, multiply( Y, inverse( Z ) ) ), :=( Y, X )] )
% 0.46/1.11 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 3, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply(
% 0.46/1.11 multiply( Y, inverse( Z ) ), X ) ), Z ) ] )
% 0.46/1.11 , clause( 110, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply(
% 0.46/1.11 multiply( Y, inverse( Z ) ), X ) ), Z ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.46/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 113, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.46/1.11 )
% 0.46/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.46/1.11 )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 116, [ =( multiply( multiply( multiply( X, inverse( Y ) ), Z ),
% 0.46/1.11 'double_divide'( Z, X ) ), inverse( Y ) ) ] )
% 0.46/1.11 , clause( 3, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply(
% 0.46/1.11 multiply( Y, inverse( Z ) ), X ) ), Z ) ] )
% 0.46/1.11 , 0, clause( 113, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.46/1.11 ) ] )
% 0.46/1.11 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.46/1.11 substitution( 1, [ :=( X, 'double_divide'( Z, X ) ), :=( Y, multiply(
% 0.46/1.11 multiply( X, inverse( Y ) ), Z ) )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 5, [ =( multiply( multiply( multiply( Y, inverse( Z ) ), X ),
% 0.46/1.11 'double_divide'( X, Y ) ), inverse( Z ) ) ] )
% 0.46/1.11 , clause( 116, [ =( multiply( multiply( multiply( X, inverse( Y ) ), Z ),
% 0.46/1.11 'double_divide'( Z, X ) ), inverse( Y ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.46/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 119, [ =( Z, 'double_divide'( 'double_divide'( X, Y ), multiply(
% 0.46/1.11 multiply( Y, inverse( Z ) ), X ) ) ) ] )
% 0.46/1.11 , clause( 3, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply(
% 0.46/1.11 multiply( Y, inverse( Z ) ), X ) ), Z ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 122, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 inverse( X ), Y ), multiply( Y, inverse( Z ) ) ), inverse( Z ) ) ) ] )
% 0.46/1.11 , clause( 5, [ =( multiply( multiply( multiply( Y, inverse( Z ) ), X ),
% 0.46/1.11 'double_divide'( X, Y ) ), inverse( Z ) ) ] )
% 0.46/1.11 , 0, clause( 119, [ =( Z, 'double_divide'( 'double_divide'( X, Y ),
% 0.46/1.11 multiply( multiply( Y, inverse( Z ) ), X ) ) ) ] )
% 0.46/1.11 , 0, 12, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y ), :=( Z, Z )] )
% 0.46/1.11 , substitution( 1, [ :=( X, 'double_divide'( inverse( X ), Y ) ), :=( Y,
% 0.46/1.11 multiply( Y, inverse( Z ) ) ), :=( Z, X )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 123, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 inverse( X ), Y ), multiply( Y, inverse( Z ) ) ), inverse( Z ) ), X ) ]
% 0.46/1.11 )
% 0.46/1.11 , clause( 122, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 inverse( X ), Y ), multiply( Y, inverse( Z ) ) ), inverse( Z ) ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 8, [ =( 'double_divide'( 'double_divide'( 'double_divide'( inverse(
% 0.46/1.11 Z ), X ), multiply( X, inverse( Y ) ) ), inverse( Y ) ), Z ) ] )
% 0.46/1.11 , clause( 123, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 inverse( X ), Y ), multiply( Y, inverse( Z ) ) ), inverse( Z ) ), X ) ]
% 0.46/1.11 )
% 0.46/1.11 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.46/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 125, [ =( inverse( Y ), multiply( multiply( multiply( X, inverse( Y
% 0.46/1.11 ) ), Z ), 'double_divide'( Z, X ) ) ) ] )
% 0.46/1.11 , clause( 5, [ =( multiply( multiply( multiply( Y, inverse( Z ) ), X ),
% 0.46/1.11 'double_divide'( X, Y ) ), inverse( Z ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 128, [ =( inverse( X ), multiply( multiply( multiply( multiply(
% 0.46/1.11 multiply( Y, inverse( Z ) ), T ), inverse( X ) ), 'double_divide'( T, Y )
% 0.46/1.11 ), Z ) ) ] )
% 0.46/1.11 , clause( 3, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply(
% 0.46/1.11 multiply( Y, inverse( Z ) ), X ) ), Z ) ] )
% 0.46/1.11 , 0, clause( 125, [ =( inverse( Y ), multiply( multiply( multiply( X,
% 0.46/1.11 inverse( Y ) ), Z ), 'double_divide'( Z, X ) ) ) ] )
% 0.46/1.11 , 0, 17, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.46/1.11 substitution( 1, [ :=( X, multiply( multiply( Y, inverse( Z ) ), T ) ),
% 0.46/1.11 :=( Y, X ), :=( Z, 'double_divide'( T, Y ) )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 129, [ =( multiply( multiply( multiply( multiply( multiply( Y,
% 0.46/1.11 inverse( Z ) ), T ), inverse( X ) ), 'double_divide'( T, Y ) ), Z ),
% 0.46/1.11 inverse( X ) ) ] )
% 0.46/1.11 , clause( 128, [ =( inverse( X ), multiply( multiply( multiply( multiply(
% 0.46/1.11 multiply( Y, inverse( Z ) ), T ), inverse( X ) ), 'double_divide'( T, Y )
% 0.46/1.11 ), Z ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.46/1.11 ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 9, [ =( multiply( multiply( multiply( multiply( multiply( Y,
% 0.46/1.11 inverse( Z ) ), X ), inverse( T ) ), 'double_divide'( X, Y ) ), Z ),
% 0.46/1.11 inverse( T ) ) ] )
% 0.46/1.11 , clause( 129, [ =( multiply( multiply( multiply( multiply( multiply( Y,
% 0.46/1.11 inverse( Z ) ), T ), inverse( X ) ), 'double_divide'( T, Y ) ), Z ),
% 0.46/1.11 inverse( X ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] ),
% 0.46/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 131, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 inverse( X ), Y ), multiply( Y, inverse( Z ) ) ), inverse( Z ) ) ) ] )
% 0.46/1.11 , clause( 8, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 inverse( Z ), X ), multiply( X, inverse( Y ) ) ), inverse( Y ) ), Z ) ]
% 0.46/1.11 )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 134, [ =( 'double_divide'( X, Y ), 'double_divide'( 'double_divide'(
% 0.46/1.11 'double_divide'( multiply( Y, X ), Z ), multiply( Z, inverse( T ) ) ),
% 0.46/1.11 inverse( T ) ) ) ] )
% 0.46/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.46/1.11 )
% 0.46/1.11 , 0, clause( 131, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 inverse( X ), Y ), multiply( Y, inverse( Z ) ) ), inverse( Z ) ) ) ] )
% 0.46/1.11 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.46/1.11 :=( X, 'double_divide'( X, Y ) ), :=( Y, Z ), :=( Z, T )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 138, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 multiply( Y, X ), Z ), multiply( Z, inverse( T ) ) ), inverse( T ) ),
% 0.46/1.11 'double_divide'( X, Y ) ) ] )
% 0.46/1.11 , clause( 134, [ =( 'double_divide'( X, Y ), 'double_divide'(
% 0.46/1.11 'double_divide'( 'double_divide'( multiply( Y, X ), Z ), multiply( Z,
% 0.46/1.11 inverse( T ) ) ), inverse( T ) ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.46/1.11 ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 11, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 multiply( Y, X ), Z ), multiply( Z, inverse( T ) ) ), inverse( T ) ),
% 0.46/1.11 'double_divide'( X, Y ) ) ] )
% 0.46/1.11 , clause( 138, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 multiply( Y, X ), Z ), multiply( Z, inverse( T ) ) ), inverse( T ) ),
% 0.46/1.11 'double_divide'( X, Y ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.46/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 142, [ =( inverse( T ), multiply( multiply( multiply( multiply(
% 0.46/1.11 multiply( X, inverse( Y ) ), Z ), inverse( T ) ), 'double_divide'( Z, X )
% 0.46/1.11 ), Y ) ) ] )
% 0.46/1.11 , clause( 9, [ =( multiply( multiply( multiply( multiply( multiply( Y,
% 0.46/1.11 inverse( Z ) ), X ), inverse( T ) ), 'double_divide'( X, Y ) ), Z ),
% 0.46/1.11 inverse( T ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.46/1.11 ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 146, [ =( inverse( X ), multiply( multiply( inverse( T ),
% 0.46/1.11 'double_divide'( 'double_divide'( Z, Y ), multiply( multiply( Y, inverse(
% 0.46/1.11 inverse( X ) ) ), Z ) ) ), T ) ) ] )
% 0.46/1.11 , clause( 9, [ =( multiply( multiply( multiply( multiply( multiply( Y,
% 0.46/1.11 inverse( Z ) ), X ), inverse( T ) ), 'double_divide'( X, Y ) ), Z ),
% 0.46/1.11 inverse( T ) ) ] )
% 0.46/1.11 , 0, clause( 142, [ =( inverse( T ), multiply( multiply( multiply( multiply(
% 0.46/1.11 multiply( X, inverse( Y ) ), Z ), inverse( T ) ), 'double_divide'( Z, X )
% 0.46/1.11 ), Y ) ) ] )
% 0.46/1.11 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, inverse( X ) ),
% 0.46/1.11 :=( T, T )] ), substitution( 1, [ :=( X, multiply( multiply( Y, inverse(
% 0.46/1.11 inverse( X ) ) ), Z ) ), :=( Y, T ), :=( Z, 'double_divide'( Z, Y ) ),
% 0.46/1.11 :=( T, X )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 148, [ =( inverse( X ), multiply( multiply( inverse( Y ), inverse(
% 0.46/1.11 X ) ), Y ) ) ] )
% 0.46/1.11 , clause( 3, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply(
% 0.46/1.11 multiply( Y, inverse( Z ) ), X ) ), Z ) ] )
% 0.46/1.11 , 0, clause( 146, [ =( inverse( X ), multiply( multiply( inverse( T ),
% 0.46/1.11 'double_divide'( 'double_divide'( Z, Y ), multiply( multiply( Y, inverse(
% 0.46/1.11 inverse( X ) ) ), Z ) ) ), T ) ) ] )
% 0.46/1.11 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, inverse( X ) )] )
% 0.46/1.11 , substitution( 1, [ :=( X, X ), :=( Y, T ), :=( Z, Z ), :=( T, Y )] )
% 0.46/1.11 ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 149, [ =( multiply( multiply( inverse( Y ), inverse( X ) ), Y ),
% 0.46/1.11 inverse( X ) ) ] )
% 0.46/1.11 , clause( 148, [ =( inverse( X ), multiply( multiply( inverse( Y ), inverse(
% 0.46/1.11 X ) ), Y ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 15, [ =( multiply( multiply( inverse( T ), inverse( Y ) ), T ),
% 0.46/1.11 inverse( Y ) ) ] )
% 0.46/1.11 , clause( 149, [ =( multiply( multiply( inverse( Y ), inverse( X ) ), Y ),
% 0.46/1.11 inverse( X ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, T )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.11 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 151, [ =( inverse( Y ), multiply( multiply( multiply( X, inverse( Y
% 0.46/1.11 ) ), Z ), 'double_divide'( Z, X ) ) ) ] )
% 0.46/1.11 , clause( 5, [ =( multiply( multiply( multiply( Y, inverse( Z ) ), X ),
% 0.46/1.11 'double_divide'( X, Y ) ), inverse( Z ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 152, [ =( inverse( X ), multiply( inverse( X ), 'double_divide'( Y
% 0.46/1.11 , inverse( Y ) ) ) ) ] )
% 0.46/1.11 , clause( 15, [ =( multiply( multiply( inverse( T ), inverse( Y ) ), T ),
% 0.46/1.11 inverse( Y ) ) ] )
% 0.46/1.11 , 0, clause( 151, [ =( inverse( Y ), multiply( multiply( multiply( X,
% 0.46/1.11 inverse( Y ) ), Z ), 'double_divide'( Z, X ) ) ) ] )
% 0.46/1.11 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 0.46/1.11 , substitution( 1, [ :=( X, inverse( Y ) ), :=( Y, X ), :=( Z, Y )] )
% 0.46/1.11 ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 154, [ =( multiply( inverse( X ), 'double_divide'( Y, inverse( Y )
% 0.46/1.11 ) ), inverse( X ) ) ] )
% 0.46/1.11 , clause( 152, [ =( inverse( X ), multiply( inverse( X ), 'double_divide'(
% 0.46/1.11 Y, inverse( Y ) ) ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 31, [ =( multiply( inverse( Y ), 'double_divide'( X, inverse( X ) )
% 0.46/1.11 ), inverse( Y ) ) ] )
% 0.46/1.11 , clause( 154, [ =( multiply( inverse( X ), 'double_divide'( Y, inverse( Y
% 0.46/1.11 ) ) ), inverse( X ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.11 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 157, [ =( Z, 'double_divide'( 'double_divide'( X, Y ), multiply(
% 0.46/1.11 multiply( Y, inverse( Z ) ), X ) ) ) ] )
% 0.46/1.11 , clause( 3, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply(
% 0.46/1.11 multiply( Y, inverse( Z ) ), X ) ), Z ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 158, [ =( X, 'double_divide'( 'double_divide'( Y, inverse( Y ) ),
% 0.46/1.11 inverse( X ) ) ) ] )
% 0.46/1.11 , clause( 15, [ =( multiply( multiply( inverse( T ), inverse( Y ) ), T ),
% 0.46/1.11 inverse( Y ) ) ] )
% 0.46/1.11 , 0, clause( 157, [ =( Z, 'double_divide'( 'double_divide'( X, Y ),
% 0.46/1.11 multiply( multiply( Y, inverse( Z ) ), X ) ) ) ] )
% 0.46/1.11 , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 0.46/1.11 , substitution( 1, [ :=( X, Y ), :=( Y, inverse( Y ) ), :=( Z, X )] )
% 0.46/1.11 ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 160, [ =( 'double_divide'( 'double_divide'( Y, inverse( Y ) ),
% 0.46/1.11 inverse( X ) ), X ) ] )
% 0.46/1.11 , clause( 158, [ =( X, 'double_divide'( 'double_divide'( Y, inverse( Y ) )
% 0.46/1.11 , inverse( X ) ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 33, [ =( 'double_divide'( 'double_divide'( X, inverse( X ) ),
% 0.46/1.11 inverse( Y ) ), Y ) ] )
% 0.46/1.11 , clause( 160, [ =( 'double_divide'( 'double_divide'( Y, inverse( Y ) ),
% 0.46/1.11 inverse( X ) ), X ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.11 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 163, [ =( inverse( X ), multiply( inverse( X ), 'double_divide'( Y
% 0.46/1.11 , inverse( Y ) ) ) ) ] )
% 0.46/1.11 , clause( 31, [ =( multiply( inverse( Y ), 'double_divide'( X, inverse( X )
% 0.46/1.11 ) ), inverse( Y ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 167, [ =( inverse( 'double_divide'( X, Y ) ), multiply( multiply( Y
% 0.46/1.11 , X ), 'double_divide'( Z, inverse( Z ) ) ) ) ] )
% 0.46/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.46/1.11 )
% 0.46/1.11 , 0, clause( 163, [ =( inverse( X ), multiply( inverse( X ),
% 0.46/1.11 'double_divide'( Y, inverse( Y ) ) ) ) ] )
% 0.46/1.11 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.46/1.11 :=( X, 'double_divide'( X, Y ) ), :=( Y, Z )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 169, [ =( multiply( Y, X ), multiply( multiply( Y, X ),
% 0.46/1.11 'double_divide'( Z, inverse( Z ) ) ) ) ] )
% 0.46/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.46/1.11 )
% 0.46/1.11 , 0, clause( 167, [ =( inverse( 'double_divide'( X, Y ) ), multiply(
% 0.46/1.11 multiply( Y, X ), 'double_divide'( Z, inverse( Z ) ) ) ) ] )
% 0.46/1.11 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.46/1.11 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 171, [ =( multiply( multiply( X, Y ), 'double_divide'( Z, inverse(
% 0.46/1.11 Z ) ) ), multiply( X, Y ) ) ] )
% 0.46/1.11 , clause( 169, [ =( multiply( Y, X ), multiply( multiply( Y, X ),
% 0.46/1.11 'double_divide'( Z, inverse( Z ) ) ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 41, [ =( multiply( multiply( Y, X ), 'double_divide'( Z, inverse( Z
% 0.46/1.11 ) ) ), multiply( Y, X ) ) ] )
% 0.46/1.11 , clause( 171, [ =( multiply( multiply( X, Y ), 'double_divide'( Z, inverse(
% 0.46/1.11 Z ) ) ), multiply( X, Y ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.46/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 174, [ =( multiply( X, Y ), multiply( multiply( X, Y ),
% 0.46/1.11 'double_divide'( Z, inverse( Z ) ) ) ) ] )
% 0.46/1.11 , clause( 41, [ =( multiply( multiply( Y, X ), 'double_divide'( Z, inverse(
% 0.46/1.11 Z ) ) ), multiply( Y, X ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 179, [ =( multiply( inverse( 'double_divide'( X, inverse( X ) ) ),
% 0.46/1.11 inverse( Y ) ), inverse( Y ) ) ] )
% 0.46/1.11 , clause( 15, [ =( multiply( multiply( inverse( T ), inverse( Y ) ), T ),
% 0.46/1.11 inverse( Y ) ) ] )
% 0.46/1.11 , 0, clause( 174, [ =( multiply( X, Y ), multiply( multiply( X, Y ),
% 0.46/1.11 'double_divide'( Z, inverse( Z ) ) ) ) ] )
% 0.46/1.11 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T,
% 0.46/1.11 'double_divide'( X, inverse( X ) ) )] ), substitution( 1, [ :=( X,
% 0.46/1.11 inverse( 'double_divide'( X, inverse( X ) ) ) ), :=( Y, inverse( Y ) ),
% 0.46/1.11 :=( Z, X )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 181, [ =( multiply( multiply( inverse( X ), X ), inverse( Y ) ),
% 0.46/1.11 inverse( Y ) ) ] )
% 0.46/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.46/1.11 )
% 0.46/1.11 , 0, clause( 179, [ =( multiply( inverse( 'double_divide'( X, inverse( X )
% 0.46/1.11 ) ), inverse( Y ) ), inverse( Y ) ) ] )
% 0.46/1.11 , 0, 2, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X )] ),
% 0.46/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 43, [ =( multiply( multiply( inverse( X ), X ), inverse( Y ) ),
% 0.46/1.11 inverse( Y ) ) ] )
% 0.46/1.11 , clause( 181, [ =( multiply( multiply( inverse( X ), X ), inverse( Y ) ),
% 0.46/1.11 inverse( Y ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.11 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 184, [ =( 'double_divide'( Y, X ), 'double_divide'( 'double_divide'(
% 0.46/1.11 'double_divide'( multiply( X, Y ), Z ), multiply( Z, inverse( T ) ) ),
% 0.46/1.11 inverse( T ) ) ) ] )
% 0.46/1.11 , clause( 11, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 multiply( Y, X ), Z ), multiply( Z, inverse( T ) ) ), inverse( T ) ),
% 0.46/1.11 'double_divide'( X, Y ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 0.46/1.11 ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 186, [ =( 'double_divide'( inverse( X ), multiply( inverse( Y ), Y
% 0.46/1.11 ) ), 'double_divide'( 'double_divide'( 'double_divide'( inverse( X ), Z
% 0.46/1.11 ), multiply( Z, inverse( T ) ) ), inverse( T ) ) ) ] )
% 0.46/1.11 , clause( 43, [ =( multiply( multiply( inverse( X ), X ), inverse( Y ) ),
% 0.46/1.11 inverse( Y ) ) ] )
% 0.46/1.11 , 0, clause( 184, [ =( 'double_divide'( Y, X ), 'double_divide'(
% 0.46/1.11 'double_divide'( 'double_divide'( multiply( X, Y ), Z ), multiply( Z,
% 0.46/1.11 inverse( T ) ) ), inverse( T ) ) ) ] )
% 0.46/1.11 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.46/1.11 :=( X, multiply( inverse( Y ), Y ) ), :=( Y, inverse( X ) ), :=( Z, Z ),
% 0.46/1.11 :=( T, T )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 188, [ =( 'double_divide'( inverse( X ), multiply( inverse( Y ), Y
% 0.46/1.11 ) ), X ) ] )
% 0.46/1.11 , clause( 8, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 inverse( Z ), X ), multiply( X, inverse( Y ) ) ), inverse( Y ) ), Z ) ]
% 0.46/1.11 )
% 0.46/1.11 , 0, clause( 186, [ =( 'double_divide'( inverse( X ), multiply( inverse( Y
% 0.46/1.11 ), Y ) ), 'double_divide'( 'double_divide'( 'double_divide'( inverse( X
% 0.46/1.11 ), Z ), multiply( Z, inverse( T ) ) ), inverse( T ) ) ) ] )
% 0.46/1.11 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X )] ),
% 0.46/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 51, [ =( 'double_divide'( inverse( Y ), multiply( inverse( X ), X )
% 0.46/1.11 ), Y ) ] )
% 0.46/1.11 , clause( 188, [ =( 'double_divide'( inverse( X ), multiply( inverse( Y ),
% 0.46/1.11 Y ) ), X ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.11 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 191, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 inverse( X ), Y ), multiply( Y, inverse( Z ) ) ), inverse( Z ) ) ) ] )
% 0.46/1.11 , clause( 8, [ =( 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 inverse( Z ), X ), multiply( X, inverse( Y ) ) ), inverse( Y ) ), Z ) ]
% 0.46/1.11 )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 193, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 inverse( X ), multiply( inverse( Y ), Y ) ), inverse( Z ) ), inverse( Z )
% 0.46/1.11 ) ) ] )
% 0.46/1.11 , clause( 43, [ =( multiply( multiply( inverse( X ), X ), inverse( Y ) ),
% 0.46/1.11 inverse( Y ) ) ] )
% 0.46/1.11 , 0, clause( 191, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 inverse( X ), Y ), multiply( Y, inverse( Z ) ) ), inverse( Z ) ) ) ] )
% 0.46/1.11 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.46/1.11 :=( X, X ), :=( Y, multiply( inverse( Y ), Y ) ), :=( Z, Z )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 194, [ =( X, 'double_divide'( 'double_divide'( X, inverse( Z ) ),
% 0.46/1.11 inverse( Z ) ) ) ] )
% 0.46/1.11 , clause( 51, [ =( 'double_divide'( inverse( Y ), multiply( inverse( X ), X
% 0.46/1.11 ) ), Y ) ] )
% 0.46/1.11 , 0, clause( 193, [ =( X, 'double_divide'( 'double_divide'( 'double_divide'(
% 0.46/1.11 inverse( X ), multiply( inverse( Y ), Y ) ), inverse( Z ) ), inverse( Z )
% 0.46/1.11 ) ) ] )
% 0.46/1.11 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.46/1.11 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 195, [ =( 'double_divide'( 'double_divide'( X, inverse( Y ) ),
% 0.46/1.11 inverse( Y ) ), X ) ] )
% 0.46/1.11 , clause( 194, [ =( X, 'double_divide'( 'double_divide'( X, inverse( Z ) )
% 0.46/1.11 , inverse( Z ) ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 57, [ =( 'double_divide'( 'double_divide'( Z, inverse( Y ) ),
% 0.46/1.11 inverse( Y ) ), Z ) ] )
% 0.46/1.11 , clause( 195, [ =( 'double_divide'( 'double_divide'( X, inverse( Y ) ),
% 0.46/1.11 inverse( Y ) ), X ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.11 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 197, [ =( X, 'double_divide'( 'double_divide'( X, inverse( Y ) ),
% 0.46/1.11 inverse( Y ) ) ) ] )
% 0.46/1.11 , clause( 57, [ =( 'double_divide'( 'double_divide'( Z, inverse( Y ) ),
% 0.46/1.11 inverse( Y ) ), Z ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 200, [ =( 'double_divide'( X, inverse( X ) ), 'double_divide'( Y,
% 0.46/1.11 inverse( Y ) ) ) ] )
% 0.46/1.11 , clause( 33, [ =( 'double_divide'( 'double_divide'( X, inverse( X ) ),
% 0.46/1.11 inverse( Y ) ), Y ) ] )
% 0.46/1.11 , 0, clause( 197, [ =( X, 'double_divide'( 'double_divide'( X, inverse( Y )
% 0.46/1.11 ), inverse( Y ) ) ) ] )
% 0.46/1.11 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.46/1.11 :=( X, 'double_divide'( X, inverse( X ) ) ), :=( Y, Y )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 73, [ =( 'double_divide'( Y, inverse( Y ) ), 'double_divide'( X,
% 0.46/1.11 inverse( X ) ) ) ] )
% 0.46/1.11 , clause( 200, [ =( 'double_divide'( X, inverse( X ) ), 'double_divide'( Y
% 0.46/1.11 , inverse( Y ) ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.11 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 201, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.46/1.11 )
% 0.46/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.46/1.11 )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 203, [ =( multiply( inverse( X ), X ), inverse( 'double_divide'( Y
% 0.46/1.11 , inverse( Y ) ) ) ) ] )
% 0.46/1.11 , clause( 73, [ =( 'double_divide'( Y, inverse( Y ) ), 'double_divide'( X,
% 0.46/1.11 inverse( X ) ) ) ] )
% 0.46/1.11 , 0, clause( 201, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.46/1.11 ) ] )
% 0.46/1.11 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.46/1.11 :=( X, X ), :=( Y, inverse( X ) )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 204, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y )
% 0.46/1.11 ) ] )
% 0.46/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.46/1.11 )
% 0.46/1.11 , 0, clause( 203, [ =( multiply( inverse( X ), X ), inverse(
% 0.46/1.11 'double_divide'( Y, inverse( Y ) ) ) ) ] )
% 0.46/1.11 , 0, 5, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, Y )] ),
% 0.46/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 82, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X ) )
% 0.46/1.11 ] )
% 0.46/1.11 , clause( 204, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y
% 0.46/1.11 ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.46/1.11 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 205, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.46/1.11 , b1 ) ) ) ] )
% 0.46/1.11 , clause( 2, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.46/1.11 , a1 ) ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 207, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.46/1.11 , X ) ) ) ] )
% 0.46/1.11 , clause( 82, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X )
% 0.46/1.11 ) ] )
% 0.46/1.11 , 0, clause( 205, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.46/1.11 b1 ), b1 ) ) ) ] )
% 0.46/1.11 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, b1 )] ), substitution( 1, [] )
% 0.46/1.11 ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 paramod(
% 0.46/1.11 clause( 208, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X
% 0.46/1.11 ) ) ) ] )
% 0.46/1.11 , clause( 82, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X )
% 0.46/1.11 ) ] )
% 0.46/1.11 , 0, clause( 207, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.46/1.11 X ), X ) ) ) ] )
% 0.46/1.11 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, a1 )] ), substitution( 1, [
% 0.46/1.11 :=( X, X )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 91, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.46/1.11 a1 ) ) ) ] )
% 0.46/1.11 , clause( 208, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X )
% 0.46/1.11 , X ) ) ) ] )
% 0.46/1.11 , substitution( 0, [ :=( X, a1 ), :=( Y, X )] ), permutation( 0, [ ==>( 0,
% 0.46/1.11 0 )] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqswap(
% 0.46/1.11 clause( 209, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.46/1.11 , X ) ) ) ] )
% 0.46/1.11 , clause( 91, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 )
% 0.46/1.11 , a1 ) ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 eqrefl(
% 0.46/1.11 clause( 210, [] )
% 0.46/1.11 , clause( 209, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X
% 0.46/1.11 ), X ) ) ) ] )
% 0.46/1.11 , 0, substitution( 0, [ :=( X, a1 )] )).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 subsumption(
% 0.46/1.11 clause( 93, [] )
% 0.46/1.11 , clause( 210, [] )
% 0.46/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 end.
% 0.46/1.11
% 0.46/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.46/1.11
% 0.46/1.11 Memory use:
% 0.46/1.11
% 0.46/1.11 space for terms: 1397
% 0.46/1.11 space for clauses: 13048
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 clauses generated: 395
% 0.46/1.11 clauses kept: 94
% 0.46/1.11 clauses selected: 22
% 0.46/1.11 clauses deleted: 1
% 0.46/1.11 clauses inuse deleted: 0
% 0.46/1.11
% 0.46/1.11 subsentry: 373
% 0.46/1.11 literals s-matched: 136
% 0.46/1.11 literals matched: 135
% 0.46/1.11 full subsumption: 0
% 0.46/1.11
% 0.46/1.11 checksum: 60986721
% 0.46/1.11
% 0.46/1.11
% 0.46/1.11 Bliksem ended
%------------------------------------------------------------------------------