%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP585-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 07:37:45 EDT 2022
% Result : Unsatisfiable 0.71s 1.11s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP585-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 14:03:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.10 *** allocated 10000 integers for termspace/termends
% 0.71/1.10 *** allocated 10000 integers for clauses
% 0.71/1.10 *** allocated 10000 integers for justifications
% 0.71/1.10 Bliksem 1.12
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Automatic Strategy Selection
% 0.71/1.10
% 0.71/1.10 Clauses:
% 0.71/1.10 [
% 0.71/1.10 [ =( 'double_divide'( X, inverse( 'double_divide'( inverse(
% 0.71/1.10 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) ) ), Y ) ) ), Z )
% 0.71/1.10 ],
% 0.71/1.10 [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) ) ],
% 0.71/1.10 [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 0.71/1.10 ]
% 0.71/1.10 ] .
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.10 This is a pure equality problem
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Options Used:
% 0.71/1.10
% 0.71/1.10 useres = 1
% 0.71/1.10 useparamod = 1
% 0.71/1.10 useeqrefl = 1
% 0.71/1.10 useeqfact = 1
% 0.71/1.10 usefactor = 1
% 0.71/1.10 usesimpsplitting = 0
% 0.71/1.10 usesimpdemod = 5
% 0.71/1.10 usesimpres = 3
% 0.71/1.10
% 0.71/1.10 resimpinuse = 1000
% 0.71/1.10 resimpclauses = 20000
% 0.71/1.10 substype = eqrewr
% 0.71/1.10 backwardsubs = 1
% 0.71/1.10 selectoldest = 5
% 0.71/1.10
% 0.71/1.10 litorderings [0] = split
% 0.71/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.10
% 0.71/1.10 termordering = kbo
% 0.71/1.11
% 0.71/1.11 litapriori = 0
% 0.71/1.11 termapriori = 1
% 0.71/1.11 litaposteriori = 0
% 0.71/1.11 termaposteriori = 0
% 0.71/1.11 demodaposteriori = 0
% 0.71/1.11 ordereqreflfact = 0
% 0.71/1.11
% 0.71/1.11 litselect = negord
% 0.71/1.11
% 0.71/1.11 maxweight = 15
% 0.71/1.11 maxdepth = 30000
% 0.71/1.11 maxlength = 115
% 0.71/1.11 maxnrvars = 195
% 0.71/1.11 excuselevel = 1
% 0.71/1.11 increasemaxweight = 1
% 0.71/1.11
% 0.71/1.11 maxselected = 10000000
% 0.71/1.11 maxnrclauses = 10000000
% 0.71/1.11
% 0.71/1.11 showgenerated = 0
% 0.71/1.11 showkept = 0
% 0.71/1.11 showselected = 0
% 0.71/1.11 showdeleted = 0
% 0.71/1.11 showresimp = 1
% 0.71/1.11 showstatus = 2000
% 0.71/1.11
% 0.71/1.11 prologoutput = 1
% 0.71/1.11 nrgoals = 5000000
% 0.71/1.11 totalproof = 1
% 0.71/1.11
% 0.71/1.11 Symbols occurring in the translation:
% 0.71/1.11
% 0.71/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.11 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.11 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.71/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.11 'double_divide' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.71/1.11 inverse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.71/1.11 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.71/1.11 a1 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.11 b1 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Starting Search:
% 0.71/1.11
% 0.71/1.11 Resimplifying inuse:
% 0.71/1.11 Done
% 0.71/1.11
% 0.71/1.11 Failed to find proof!
% 0.71/1.11 maxweight = 15
% 0.71/1.11 maxnrclauses = 10000000
% 0.71/1.11 Generated: 38
% 0.71/1.11 Kept: 7
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 The strategy used was not complete!
% 0.71/1.11
% 0.71/1.11 Increased maxweight to 16
% 0.71/1.11
% 0.71/1.11 Starting Search:
% 0.71/1.11
% 0.71/1.11 Resimplifying inuse:
% 0.71/1.11 Done
% 0.71/1.11
% 0.71/1.11 Failed to find proof!
% 0.71/1.11 maxweight = 16
% 0.71/1.11 maxnrclauses = 10000000
% 0.71/1.11 Generated: 38
% 0.71/1.11 Kept: 7
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 The strategy used was not complete!
% 0.71/1.11
% 0.71/1.11 Increased maxweight to 17
% 0.71/1.11
% 0.71/1.11 Starting Search:
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Bliksems!, er is een bewijs:
% 0.71/1.11 % SZS status Unsatisfiable
% 0.71/1.11 % SZS output start Refutation
% 0.71/1.11
% 0.71/1.11 clause( 0, [ =( 'double_divide'( X, inverse( 'double_divide'( inverse(
% 0.71/1.11 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) ) ), Y ) ) ), Z )
% 0.71/1.11 ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 2, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.71/1.11 a1 ) ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 3, [ =( 'double_divide'( X, multiply( Y, multiply( inverse( Z ),
% 0.71/1.11 'double_divide'( X, Y ) ) ) ), Z ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 4, [ =( 'double_divide'( X, multiply( multiply( Y, multiply(
% 0.71/1.11 inverse( Z ), 'double_divide'( X, Y ) ) ), multiply( inverse( T ), Z ) )
% 0.71/1.11 ), T ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 5, [ =( multiply( multiply( Y, multiply( inverse( Z ),
% 0.71/1.11 'double_divide'( X, Y ) ) ), X ), inverse( Z ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 8, [ =( 'double_divide'( multiply( inverse( Z ), Y ), inverse( Y )
% 0.71/1.11 ), Z ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 9, [ =( multiply( multiply( inverse( Y ), multiply( inverse( Z ), X
% 0.71/1.11 ) ), multiply( inverse( X ), Y ) ), inverse( Z ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 11, [ =( multiply( inverse( Y ), multiply( inverse( X ), Y ) ),
% 0.71/1.11 inverse( X ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 12, [ =( 'double_divide'( multiply( multiply( Y, X ), Z ), inverse(
% 0.71/1.11 Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 13, [ =( 'double_divide'( multiply( inverse( Z ), 'double_divide'(
% 0.71/1.11 X, Y ) ), multiply( Y, X ) ), Z ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 15, [ =( 'double_divide'( inverse( Y ), inverse( multiply( inverse(
% 0.71/1.11 Y ), X ) ) ), X ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 17, [ =( multiply( inverse( Z ), multiply( multiply( Y, X ), Z ) )
% 0.71/1.11 , multiply( Y, X ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 18, [ =( 'double_divide'( inverse( X ), inverse( inverse( Y ) ) ),
% 0.71/1.11 multiply( inverse( Y ), X ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 21, [ =( 'double_divide'( multiply( Y, X ), inverse( multiply(
% 0.71/1.11 multiply( Y, X ), Z ) ) ), Z ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 25, [ =( 'double_divide'( multiply( Y, X ), inverse( inverse( Z ) )
% 0.71/1.11 ), multiply( inverse( Z ), 'double_divide'( X, Y ) ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 26, [ =( 'double_divide'( inverse( Z ), inverse( multiply( Y, X ) )
% 0.71/1.11 ), multiply( multiply( Y, X ), Z ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 33, [ =( 'double_divide'( multiply( inverse( Y ), 'double_divide'(
% 0.71/1.11 Z, X ) ), X ), 'double_divide'( inverse( Y ), inverse( Z ) ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 45, [ =( multiply( inverse( Y ), 'double_divide'( inverse( Y ),
% 0.71/1.11 inverse( Z ) ) ), Z ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 52, [ =( multiply( inverse( Z ), multiply( Y, Z ) ), Y ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 60, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X ) )
% 0.71/1.11 ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 73, [ =( 'double_divide'( multiply( inverse( Y ), Z ), inverse( X )
% 0.71/1.11 ), multiply( multiply( inverse( Z ), X ), Y ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 93, [ =( multiply( multiply( inverse( Y ), Y ), Z ), Z ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 98, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X ) )
% 0.71/1.11 ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 116, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.71/1.11 a1 ) ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 118, [] )
% 0.71/1.11 .
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 % SZS output end Refutation
% 0.71/1.11 found a proof!
% 0.71/1.11
% 0.71/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.11
% 0.71/1.11 initialclauses(
% 0.71/1.11 [ clause( 120, [ =( 'double_divide'( X, inverse( 'double_divide'( inverse(
% 0.71/1.11 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) ) ), Y ) ) ), Z )
% 0.71/1.11 ] )
% 0.71/1.11 , clause( 121, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) )
% 0.71/1.11 ] )
% 0.71/1.11 , clause( 122, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.71/1.11 ), b1 ) ) ) ] )
% 0.71/1.11 ] ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 0, [ =( 'double_divide'( X, inverse( 'double_divide'( inverse(
% 0.71/1.11 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) ) ), Y ) ) ), Z )
% 0.71/1.11 ] )
% 0.71/1.11 , clause( 120, [ =( 'double_divide'( X, inverse( 'double_divide'( inverse(
% 0.71/1.11 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) ) ), Y ) ) ), Z )
% 0.71/1.11 ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 125, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , clause( 121, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) )
% 0.71/1.11 ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.71/1.11 , clause( 125, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) )
% 0.71/1.11 ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 128, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.71/1.11 , a1 ) ) ) ] )
% 0.71/1.11 , clause( 122, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.71/1.11 ), b1 ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 2, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ),
% 0.71/1.11 a1 ) ) ) ] )
% 0.71/1.11 , clause( 128, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.71/1.11 ), a1 ) ) ) ] )
% 0.71/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 133, [ =( 'double_divide'( X, inverse( 'double_divide'( multiply(
% 0.71/1.11 inverse( Z ), 'double_divide'( X, Y ) ), Y ) ) ), Z ) ] )
% 0.71/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , 0, clause( 0, [ =( 'double_divide'( X, inverse( 'double_divide'( inverse(
% 0.71/1.11 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) ) ), Y ) ) ), Z )
% 0.71/1.11 ] )
% 0.71/1.11 , 0, 5, substitution( 0, [ :=( X, inverse( Z ) ), :=( Y, 'double_divide'( X
% 0.71/1.11 , Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 135, [ =( 'double_divide'( X, multiply( Z, multiply( inverse( Y ),
% 0.71/1.11 'double_divide'( X, Z ) ) ) ), Y ) ] )
% 0.71/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , 0, clause( 133, [ =( 'double_divide'( X, inverse( 'double_divide'(
% 0.71/1.11 multiply( inverse( Z ), 'double_divide'( X, Y ) ), Y ) ) ), Z ) ] )
% 0.71/1.11 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, multiply( inverse( Y ),
% 0.71/1.11 'double_divide'( X, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Z )
% 0.71/1.11 , :=( Z, Y )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 3, [ =( 'double_divide'( X, multiply( Y, multiply( inverse( Z ),
% 0.71/1.11 'double_divide'( X, Y ) ) ) ), Z ) ] )
% 0.71/1.11 , clause( 135, [ =( 'double_divide'( X, multiply( Z, multiply( inverse( Y )
% 0.71/1.11 , 'double_divide'( X, Z ) ) ) ), Y ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.71/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 137, [ =( Z, 'double_divide'( X, multiply( Y, multiply( inverse( Z
% 0.71/1.11 ), 'double_divide'( X, Y ) ) ) ) ) ] )
% 0.71/1.11 , clause( 3, [ =( 'double_divide'( X, multiply( Y, multiply( inverse( Z ),
% 0.71/1.11 'double_divide'( X, Y ) ) ) ), Z ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 140, [ =( X, 'double_divide'( Y, multiply( multiply( Z, multiply(
% 0.71/1.11 inverse( T ), 'double_divide'( Y, Z ) ) ), multiply( inverse( X ), T ) )
% 0.71/1.11 ) ) ] )
% 0.71/1.11 , clause( 3, [ =( 'double_divide'( X, multiply( Y, multiply( inverse( Z ),
% 0.71/1.11 'double_divide'( X, Y ) ) ) ), Z ) ] )
% 0.71/1.11 , 0, clause( 137, [ =( Z, 'double_divide'( X, multiply( Y, multiply(
% 0.71/1.11 inverse( Z ), 'double_divide'( X, Y ) ) ) ) ) ] )
% 0.71/1.11 , 0, 16, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ),
% 0.71/1.11 substitution( 1, [ :=( X, Y ), :=( Y, multiply( Z, multiply( inverse( T )
% 0.71/1.11 , 'double_divide'( Y, Z ) ) ) ), :=( Z, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 141, [ =( 'double_divide'( Y, multiply( multiply( Z, multiply(
% 0.71/1.11 inverse( T ), 'double_divide'( Y, Z ) ) ), multiply( inverse( X ), T ) )
% 0.71/1.11 ), X ) ] )
% 0.71/1.11 , clause( 140, [ =( X, 'double_divide'( Y, multiply( multiply( Z, multiply(
% 0.71/1.11 inverse( T ), 'double_divide'( Y, Z ) ) ), multiply( inverse( X ), T ) )
% 0.71/1.11 ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.71/1.11 ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 4, [ =( 'double_divide'( X, multiply( multiply( Y, multiply(
% 0.71/1.11 inverse( Z ), 'double_divide'( X, Y ) ) ), multiply( inverse( T ), Z ) )
% 0.71/1.11 ), T ) ] )
% 0.71/1.11 , clause( 141, [ =( 'double_divide'( Y, multiply( multiply( Z, multiply(
% 0.71/1.11 inverse( T ), 'double_divide'( Y, Z ) ) ), multiply( inverse( X ), T ) )
% 0.71/1.11 ), X ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.71/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 143, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 146, [ =( multiply( multiply( X, multiply( inverse( Y ),
% 0.71/1.11 'double_divide'( Z, X ) ) ), Z ), inverse( Y ) ) ] )
% 0.71/1.11 , clause( 3, [ =( 'double_divide'( X, multiply( Y, multiply( inverse( Z ),
% 0.71/1.11 'double_divide'( X, Y ) ) ) ), Z ) ] )
% 0.71/1.11 , 0, clause( 143, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.71/1.11 ) ] )
% 0.71/1.11 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.71/1.11 substitution( 1, [ :=( X, Z ), :=( Y, multiply( X, multiply( inverse( Y )
% 0.71/1.11 , 'double_divide'( Z, X ) ) ) )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 5, [ =( multiply( multiply( Y, multiply( inverse( Z ),
% 0.71/1.11 'double_divide'( X, Y ) ) ), X ), inverse( Z ) ) ] )
% 0.71/1.11 , clause( 146, [ =( multiply( multiply( X, multiply( inverse( Y ),
% 0.71/1.11 'double_divide'( Z, X ) ) ), Z ), inverse( Y ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.71/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 149, [ =( T, 'double_divide'( X, multiply( multiply( Y, multiply(
% 0.71/1.11 inverse( Z ), 'double_divide'( X, Y ) ) ), multiply( inverse( T ), Z ) )
% 0.71/1.11 ) ) ] )
% 0.71/1.11 , clause( 4, [ =( 'double_divide'( X, multiply( multiply( Y, multiply(
% 0.71/1.11 inverse( Z ), 'double_divide'( X, Y ) ) ), multiply( inverse( T ), Z ) )
% 0.71/1.11 ), T ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.71/1.11 ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 152, [ =( X, 'double_divide'( multiply( inverse( X ), Y ), inverse(
% 0.71/1.11 Y ) ) ) ] )
% 0.71/1.11 , clause( 5, [ =( multiply( multiply( Y, multiply( inverse( Z ),
% 0.71/1.11 'double_divide'( X, Y ) ) ), X ), inverse( Z ) ) ] )
% 0.71/1.11 , 0, clause( 149, [ =( T, 'double_divide'( X, multiply( multiply( Y,
% 0.71/1.11 multiply( inverse( Z ), 'double_divide'( X, Y ) ) ), multiply( inverse( T
% 0.71/1.11 ), Z ) ) ) ) ] )
% 0.71/1.11 , 0, 7, substitution( 0, [ :=( X, multiply( inverse( X ), Y ) ), :=( Y, Z )
% 0.71/1.11 , :=( Z, Y )] ), substitution( 1, [ :=( X, multiply( inverse( X ), Y ) )
% 0.71/1.11 , :=( Y, Z ), :=( Z, Y ), :=( T, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 153, [ =( 'double_divide'( multiply( inverse( X ), Y ), inverse( Y
% 0.71/1.11 ) ), X ) ] )
% 0.71/1.11 , clause( 152, [ =( X, 'double_divide'( multiply( inverse( X ), Y ),
% 0.71/1.11 inverse( Y ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 8, [ =( 'double_divide'( multiply( inverse( Z ), Y ), inverse( Y )
% 0.71/1.11 ), Z ) ] )
% 0.71/1.11 , clause( 153, [ =( 'double_divide'( multiply( inverse( X ), Y ), inverse(
% 0.71/1.11 Y ) ), X ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 155, [ =( inverse( Y ), multiply( multiply( X, multiply( inverse( Y
% 0.71/1.11 ), 'double_divide'( Z, X ) ) ), Z ) ) ] )
% 0.71/1.11 , clause( 5, [ =( multiply( multiply( Y, multiply( inverse( Z ),
% 0.71/1.11 'double_divide'( X, Y ) ) ), X ), inverse( Z ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 156, [ =( inverse( X ), multiply( multiply( inverse( Y ), multiply(
% 0.71/1.11 inverse( X ), Z ) ), multiply( inverse( Z ), Y ) ) ) ] )
% 0.71/1.11 , clause( 8, [ =( 'double_divide'( multiply( inverse( Z ), Y ), inverse( Y
% 0.71/1.11 ) ), Z ) ] )
% 0.71/1.11 , 0, clause( 155, [ =( inverse( Y ), multiply( multiply( X, multiply(
% 0.71/1.11 inverse( Y ), 'double_divide'( Z, X ) ) ), Z ) ) ] )
% 0.71/1.11 , 0, 10, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.11 substitution( 1, [ :=( X, inverse( Y ) ), :=( Y, X ), :=( Z, multiply(
% 0.71/1.11 inverse( Z ), Y ) )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 157, [ =( multiply( multiply( inverse( Y ), multiply( inverse( X )
% 0.71/1.11 , Z ) ), multiply( inverse( Z ), Y ) ), inverse( X ) ) ] )
% 0.71/1.11 , clause( 156, [ =( inverse( X ), multiply( multiply( inverse( Y ),
% 0.71/1.11 multiply( inverse( X ), Z ) ), multiply( inverse( Z ), Y ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 9, [ =( multiply( multiply( inverse( Y ), multiply( inverse( Z ), X
% 0.71/1.11 ) ), multiply( inverse( X ), Y ) ), inverse( Z ) ) ] )
% 0.71/1.11 , clause( 157, [ =( multiply( multiply( inverse( Y ), multiply( inverse( X
% 0.71/1.11 ), Z ) ), multiply( inverse( Z ), Y ) ), inverse( X ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.71/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 159, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 164, [ =( multiply( inverse( X ), multiply( inverse( Y ), X ) ),
% 0.71/1.11 inverse( Y ) ) ] )
% 0.71/1.11 , clause( 8, [ =( 'double_divide'( multiply( inverse( Z ), Y ), inverse( Y
% 0.71/1.11 ) ), Z ) ] )
% 0.71/1.11 , 0, clause( 159, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.71/1.11 ) ] )
% 0.71/1.11 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.71/1.11 substitution( 1, [ :=( X, multiply( inverse( Y ), X ) ), :=( Y, inverse(
% 0.71/1.11 X ) )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 11, [ =( multiply( inverse( Y ), multiply( inverse( X ), Y ) ),
% 0.71/1.11 inverse( X ) ) ] )
% 0.71/1.11 , clause( 164, [ =( multiply( inverse( X ), multiply( inverse( Y ), X ) ),
% 0.71/1.11 inverse( Y ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 167, [ =( X, 'double_divide'( multiply( inverse( X ), Y ), inverse(
% 0.71/1.11 Y ) ) ) ] )
% 0.71/1.11 , clause( 8, [ =( 'double_divide'( multiply( inverse( Z ), Y ), inverse( Y
% 0.71/1.11 ) ), Z ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 170, [ =( 'double_divide'( X, Y ), 'double_divide'( multiply(
% 0.71/1.11 multiply( Y, X ), Z ), inverse( Z ) ) ) ] )
% 0.71/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , 0, clause( 167, [ =( X, 'double_divide'( multiply( inverse( X ), Y ),
% 0.71/1.11 inverse( Y ) ) ) ] )
% 0.71/1.11 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.11 :=( X, 'double_divide'( X, Y ) ), :=( Y, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 172, [ =( 'double_divide'( multiply( multiply( Y, X ), Z ), inverse(
% 0.71/1.11 Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.71/1.11 , clause( 170, [ =( 'double_divide'( X, Y ), 'double_divide'( multiply(
% 0.71/1.11 multiply( Y, X ), Z ), inverse( Z ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 12, [ =( 'double_divide'( multiply( multiply( Y, X ), Z ), inverse(
% 0.71/1.11 Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.71/1.11 , clause( 172, [ =( 'double_divide'( multiply( multiply( Y, X ), Z ),
% 0.71/1.11 inverse( Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 175, [ =( X, 'double_divide'( multiply( inverse( X ), Y ), inverse(
% 0.71/1.11 Y ) ) ) ] )
% 0.71/1.11 , clause( 8, [ =( 'double_divide'( multiply( inverse( Z ), Y ), inverse( Y
% 0.71/1.11 ) ), Z ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 179, [ =( X, 'double_divide'( multiply( inverse( X ),
% 0.71/1.11 'double_divide'( Y, Z ) ), multiply( Z, Y ) ) ) ] )
% 0.71/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , 0, clause( 175, [ =( X, 'double_divide'( multiply( inverse( X ), Y ),
% 0.71/1.11 inverse( Y ) ) ) ] )
% 0.71/1.11 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.11 :=( X, X ), :=( Y, 'double_divide'( Y, Z ) )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 181, [ =( 'double_divide'( multiply( inverse( X ), 'double_divide'(
% 0.71/1.11 Y, Z ) ), multiply( Z, Y ) ), X ) ] )
% 0.71/1.11 , clause( 179, [ =( X, 'double_divide'( multiply( inverse( X ),
% 0.71/1.11 'double_divide'( Y, Z ) ), multiply( Z, Y ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 13, [ =( 'double_divide'( multiply( inverse( Z ), 'double_divide'(
% 0.71/1.11 X, Y ) ), multiply( Y, X ) ), Z ) ] )
% 0.71/1.11 , clause( 181, [ =( 'double_divide'( multiply( inverse( X ),
% 0.71/1.11 'double_divide'( Y, Z ) ), multiply( Z, Y ) ), X ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.71/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 183, [ =( X, 'double_divide'( multiply( inverse( X ), Y ), inverse(
% 0.71/1.11 Y ) ) ) ] )
% 0.71/1.11 , clause( 8, [ =( 'double_divide'( multiply( inverse( Z ), Y ), inverse( Y
% 0.71/1.11 ) ), Z ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 184, [ =( X, 'double_divide'( inverse( Y ), inverse( multiply(
% 0.71/1.11 inverse( Y ), X ) ) ) ) ] )
% 0.71/1.11 , clause( 11, [ =( multiply( inverse( Y ), multiply( inverse( X ), Y ) ),
% 0.71/1.11 inverse( X ) ) ] )
% 0.71/1.11 , 0, clause( 183, [ =( X, 'double_divide'( multiply( inverse( X ), Y ),
% 0.71/1.11 inverse( Y ) ) ) ] )
% 0.71/1.11 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.11 :=( X, X ), :=( Y, multiply( inverse( Y ), X ) )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 185, [ =( 'double_divide'( inverse( Y ), inverse( multiply( inverse(
% 0.71/1.11 Y ), X ) ) ), X ) ] )
% 0.71/1.11 , clause( 184, [ =( X, 'double_divide'( inverse( Y ), inverse( multiply(
% 0.71/1.11 inverse( Y ), X ) ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 15, [ =( 'double_divide'( inverse( Y ), inverse( multiply( inverse(
% 0.71/1.11 Y ), X ) ) ), X ) ] )
% 0.71/1.11 , clause( 185, [ =( 'double_divide'( inverse( Y ), inverse( multiply(
% 0.71/1.11 inverse( Y ), X ) ) ), X ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 187, [ =( inverse( Y ), multiply( inverse( X ), multiply( inverse(
% 0.71/1.11 Y ), X ) ) ) ] )
% 0.71/1.11 , clause( 11, [ =( multiply( inverse( Y ), multiply( inverse( X ), Y ) ),
% 0.71/1.11 inverse( X ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 191, [ =( inverse( 'double_divide'( X, Y ) ), multiply( inverse( Z
% 0.71/1.11 ), multiply( multiply( Y, X ), Z ) ) ) ] )
% 0.71/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , 0, clause( 187, [ =( inverse( Y ), multiply( inverse( X ), multiply(
% 0.71/1.11 inverse( Y ), X ) ) ) ] )
% 0.71/1.11 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.11 :=( X, Z ), :=( Y, 'double_divide'( X, Y ) )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 193, [ =( multiply( Y, X ), multiply( inverse( Z ), multiply(
% 0.71/1.11 multiply( Y, X ), Z ) ) ) ] )
% 0.71/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , 0, clause( 191, [ =( inverse( 'double_divide'( X, Y ) ), multiply(
% 0.71/1.11 inverse( Z ), multiply( multiply( Y, X ), Z ) ) ) ] )
% 0.71/1.11 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.11 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 195, [ =( multiply( inverse( Z ), multiply( multiply( X, Y ), Z ) )
% 0.71/1.11 , multiply( X, Y ) ) ] )
% 0.71/1.11 , clause( 193, [ =( multiply( Y, X ), multiply( inverse( Z ), multiply(
% 0.71/1.11 multiply( Y, X ), Z ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 17, [ =( multiply( inverse( Z ), multiply( multiply( Y, X ), Z ) )
% 0.71/1.11 , multiply( Y, X ) ) ] )
% 0.71/1.11 , clause( 195, [ =( multiply( inverse( Z ), multiply( multiply( X, Y ), Z )
% 0.71/1.11 ), multiply( X, Y ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.71/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 199, [ =( Y, 'double_divide'( inverse( X ), inverse( multiply(
% 0.71/1.11 inverse( X ), Y ) ) ) ) ] )
% 0.71/1.11 , clause( 15, [ =( 'double_divide'( inverse( Y ), inverse( multiply(
% 0.71/1.11 inverse( Y ), X ) ) ), X ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 200, [ =( multiply( inverse( X ), Y ), 'double_divide'( inverse( Y
% 0.71/1.11 ), inverse( inverse( X ) ) ) ) ] )
% 0.71/1.11 , clause( 11, [ =( multiply( inverse( Y ), multiply( inverse( X ), Y ) ),
% 0.71/1.11 inverse( X ) ) ] )
% 0.71/1.11 , 0, clause( 199, [ =( Y, 'double_divide'( inverse( X ), inverse( multiply(
% 0.71/1.11 inverse( X ), Y ) ) ) ) ] )
% 0.71/1.11 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.11 :=( X, Y ), :=( Y, multiply( inverse( X ), Y ) )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 201, [ =( 'double_divide'( inverse( Y ), inverse( inverse( X ) ) )
% 0.71/1.11 , multiply( inverse( X ), Y ) ) ] )
% 0.71/1.11 , clause( 200, [ =( multiply( inverse( X ), Y ), 'double_divide'( inverse(
% 0.71/1.11 Y ), inverse( inverse( X ) ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 18, [ =( 'double_divide'( inverse( X ), inverse( inverse( Y ) ) ),
% 0.71/1.11 multiply( inverse( Y ), X ) ) ] )
% 0.71/1.11 , clause( 201, [ =( 'double_divide'( inverse( Y ), inverse( inverse( X ) )
% 0.71/1.11 ), multiply( inverse( X ), Y ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 203, [ =( Y, 'double_divide'( inverse( X ), inverse( multiply(
% 0.71/1.11 inverse( X ), Y ) ) ) ) ] )
% 0.71/1.11 , clause( 15, [ =( 'double_divide'( inverse( Y ), inverse( multiply(
% 0.71/1.11 inverse( Y ), X ) ) ), X ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 207, [ =( X, 'double_divide'( inverse( 'double_divide'( Y, Z ) ),
% 0.71/1.11 inverse( multiply( multiply( Z, Y ), X ) ) ) ) ] )
% 0.71/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , 0, clause( 203, [ =( Y, 'double_divide'( inverse( X ), inverse( multiply(
% 0.71/1.11 inverse( X ), Y ) ) ) ) ] )
% 0.71/1.11 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.11 :=( X, 'double_divide'( Y, Z ) ), :=( Y, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 208, [ =( X, 'double_divide'( multiply( Z, Y ), inverse( multiply(
% 0.71/1.11 multiply( Z, Y ), X ) ) ) ) ] )
% 0.71/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , 0, clause( 207, [ =( X, 'double_divide'( inverse( 'double_divide'( Y, Z )
% 0.71/1.11 ), inverse( multiply( multiply( Z, Y ), X ) ) ) ) ] )
% 0.71/1.11 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.11 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 210, [ =( 'double_divide'( multiply( Y, Z ), inverse( multiply(
% 0.71/1.11 multiply( Y, Z ), X ) ) ), X ) ] )
% 0.71/1.11 , clause( 208, [ =( X, 'double_divide'( multiply( Z, Y ), inverse( multiply(
% 0.71/1.11 multiply( Z, Y ), X ) ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 21, [ =( 'double_divide'( multiply( Y, X ), inverse( multiply(
% 0.71/1.11 multiply( Y, X ), Z ) ) ), Z ) ] )
% 0.71/1.11 , clause( 210, [ =( 'double_divide'( multiply( Y, Z ), inverse( multiply(
% 0.71/1.11 multiply( Y, Z ), X ) ) ), X ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.71/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 213, [ =( multiply( inverse( Y ), X ), 'double_divide'( inverse( X
% 0.71/1.11 ), inverse( inverse( Y ) ) ) ) ] )
% 0.71/1.11 , clause( 18, [ =( 'double_divide'( inverse( X ), inverse( inverse( Y ) ) )
% 0.71/1.11 , multiply( inverse( Y ), X ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 218, [ =( multiply( inverse( X ), 'double_divide'( Y, Z ) ),
% 0.71/1.11 'double_divide'( multiply( Z, Y ), inverse( inverse( X ) ) ) ) ] )
% 0.71/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , 0, clause( 213, [ =( multiply( inverse( Y ), X ), 'double_divide'(
% 0.71/1.11 inverse( X ), inverse( inverse( Y ) ) ) ) ] )
% 0.71/1.11 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.11 :=( X, 'double_divide'( Y, Z ) ), :=( Y, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 223, [ =( 'double_divide'( multiply( Z, Y ), inverse( inverse( X )
% 0.71/1.11 ) ), multiply( inverse( X ), 'double_divide'( Y, Z ) ) ) ] )
% 0.71/1.11 , clause( 218, [ =( multiply( inverse( X ), 'double_divide'( Y, Z ) ),
% 0.71/1.11 'double_divide'( multiply( Z, Y ), inverse( inverse( X ) ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 25, [ =( 'double_divide'( multiply( Y, X ), inverse( inverse( Z ) )
% 0.71/1.11 ), multiply( inverse( Z ), 'double_divide'( X, Y ) ) ) ] )
% 0.71/1.11 , clause( 223, [ =( 'double_divide'( multiply( Z, Y ), inverse( inverse( X
% 0.71/1.11 ) ) ), multiply( inverse( X ), 'double_divide'( Y, Z ) ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.71/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 225, [ =( multiply( inverse( Y ), X ), 'double_divide'( inverse( X
% 0.71/1.11 ), inverse( inverse( Y ) ) ) ) ] )
% 0.71/1.11 , clause( 18, [ =( 'double_divide'( inverse( X ), inverse( inverse( Y ) ) )
% 0.71/1.11 , multiply( inverse( Y ), X ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 229, [ =( multiply( inverse( 'double_divide'( X, Y ) ), Z ),
% 0.71/1.11 'double_divide'( inverse( Z ), inverse( multiply( Y, X ) ) ) ) ] )
% 0.71/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , 0, clause( 225, [ =( multiply( inverse( Y ), X ), 'double_divide'(
% 0.71/1.11 inverse( X ), inverse( inverse( Y ) ) ) ) ] )
% 0.71/1.11 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.11 :=( X, Z ), :=( Y, 'double_divide'( X, Y ) )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 231, [ =( multiply( multiply( Y, X ), Z ), 'double_divide'( inverse(
% 0.71/1.11 Z ), inverse( multiply( Y, X ) ) ) ) ] )
% 0.71/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , 0, clause( 229, [ =( multiply( inverse( 'double_divide'( X, Y ) ), Z ),
% 0.71/1.11 'double_divide'( inverse( Z ), inverse( multiply( Y, X ) ) ) ) ] )
% 0.71/1.11 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.11 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 233, [ =( 'double_divide'( inverse( Z ), inverse( multiply( X, Y )
% 0.71/1.11 ) ), multiply( multiply( X, Y ), Z ) ) ] )
% 0.71/1.11 , clause( 231, [ =( multiply( multiply( Y, X ), Z ), 'double_divide'(
% 0.71/1.11 inverse( Z ), inverse( multiply( Y, X ) ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 26, [ =( 'double_divide'( inverse( Z ), inverse( multiply( Y, X ) )
% 0.71/1.11 ), multiply( multiply( Y, X ), Z ) ) ] )
% 0.71/1.11 , clause( 233, [ =( 'double_divide'( inverse( Z ), inverse( multiply( X, Y
% 0.71/1.11 ) ) ), multiply( multiply( X, Y ), Z ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.71/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 237, [ =( 'double_divide'( Y, X ), 'double_divide'( multiply(
% 0.71/1.11 multiply( X, Y ), Z ), inverse( Z ) ) ) ] )
% 0.71/1.11 , clause( 12, [ =( 'double_divide'( multiply( multiply( Y, X ), Z ),
% 0.71/1.11 inverse( Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 240, [ =( 'double_divide'( multiply( inverse( X ), 'double_divide'(
% 0.71/1.11 Y, Z ) ), Z ), 'double_divide'( inverse( X ), inverse( Y ) ) ) ] )
% 0.71/1.11 , clause( 5, [ =( multiply( multiply( Y, multiply( inverse( Z ),
% 0.71/1.11 'double_divide'( X, Y ) ) ), X ), inverse( Z ) ) ] )
% 0.71/1.11 , 0, clause( 237, [ =( 'double_divide'( Y, X ), 'double_divide'( multiply(
% 0.71/1.11 multiply( X, Y ), Z ), inverse( Z ) ) ) ] )
% 0.71/1.11 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.71/1.11 substitution( 1, [ :=( X, Z ), :=( Y, multiply( inverse( X ),
% 0.71/1.11 'double_divide'( Y, Z ) ) ), :=( Z, Y )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 33, [ =( 'double_divide'( multiply( inverse( Y ), 'double_divide'(
% 0.71/1.11 Z, X ) ), X ), 'double_divide'( inverse( Y ), inverse( Z ) ) ) ] )
% 0.71/1.11 , clause( 240, [ =( 'double_divide'( multiply( inverse( X ),
% 0.71/1.11 'double_divide'( Y, Z ) ), Z ), 'double_divide'( inverse( X ), inverse( Y
% 0.71/1.11 ) ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.71/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 245, [ =( Z, 'double_divide'( multiply( X, Y ), inverse( multiply(
% 0.71/1.11 multiply( X, Y ), Z ) ) ) ) ] )
% 0.71/1.11 , clause( 21, [ =( 'double_divide'( multiply( Y, X ), inverse( multiply(
% 0.71/1.11 multiply( Y, X ), Z ) ) ), Z ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 251, [ =( X, 'double_divide'( multiply( Y, multiply( inverse( Z ),
% 0.71/1.11 'double_divide'( X, Y ) ) ), inverse( inverse( Z ) ) ) ) ] )
% 0.71/1.11 , clause( 5, [ =( multiply( multiply( Y, multiply( inverse( Z ),
% 0.71/1.11 'double_divide'( X, Y ) ) ), X ), inverse( Z ) ) ] )
% 0.71/1.11 , 0, clause( 245, [ =( Z, 'double_divide'( multiply( X, Y ), inverse(
% 0.71/1.11 multiply( multiply( X, Y ), Z ) ) ) ) ] )
% 0.71/1.11 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.11 substitution( 1, [ :=( X, Y ), :=( Y, multiply( inverse( Z ),
% 0.71/1.11 'double_divide'( X, Y ) ) ), :=( Z, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 253, [ =( X, multiply( inverse( Z ), 'double_divide'( multiply(
% 0.71/1.11 inverse( Z ), 'double_divide'( X, Y ) ), Y ) ) ) ] )
% 0.71/1.11 , clause( 25, [ =( 'double_divide'( multiply( Y, X ), inverse( inverse( Z )
% 0.71/1.11 ) ), multiply( inverse( Z ), 'double_divide'( X, Y ) ) ) ] )
% 0.71/1.11 , 0, clause( 251, [ =( X, 'double_divide'( multiply( Y, multiply( inverse(
% 0.71/1.11 Z ), 'double_divide'( X, Y ) ) ), inverse( inverse( Z ) ) ) ) ] )
% 0.71/1.11 , 0, 2, substitution( 0, [ :=( X, multiply( inverse( Z ), 'double_divide'(
% 0.71/1.11 X, Y ) ) ), :=( Y, Y ), :=( Z, Z )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.11 :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 254, [ =( X, multiply( inverse( Y ), 'double_divide'( inverse( Y )
% 0.71/1.11 , inverse( X ) ) ) ) ] )
% 0.71/1.11 , clause( 33, [ =( 'double_divide'( multiply( inverse( Y ), 'double_divide'(
% 0.71/1.11 Z, X ) ), X ), 'double_divide'( inverse( Y ), inverse( Z ) ) ) ] )
% 0.71/1.11 , 0, clause( 253, [ =( X, multiply( inverse( Z ), 'double_divide'( multiply(
% 0.71/1.11 inverse( Z ), 'double_divide'( X, Y ) ), Y ) ) ) ] )
% 0.71/1.11 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.71/1.11 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 255, [ =( multiply( inverse( Y ), 'double_divide'( inverse( Y ),
% 0.71/1.11 inverse( X ) ) ), X ) ] )
% 0.71/1.11 , clause( 254, [ =( X, multiply( inverse( Y ), 'double_divide'( inverse( Y
% 0.71/1.11 ), inverse( X ) ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 45, [ =( multiply( inverse( Y ), 'double_divide'( inverse( Y ),
% 0.71/1.11 inverse( Z ) ) ), Z ) ] )
% 0.71/1.11 , clause( 255, [ =( multiply( inverse( Y ), 'double_divide'( inverse( Y ),
% 0.71/1.11 inverse( X ) ) ), X ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 257, [ =( multiply( Y, Z ), multiply( inverse( X ), multiply(
% 0.71/1.11 multiply( Y, Z ), X ) ) ) ] )
% 0.71/1.11 , clause( 17, [ =( multiply( inverse( Z ), multiply( multiply( Y, X ), Z )
% 0.71/1.11 ), multiply( Y, X ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 259, [ =( multiply( inverse( X ), 'double_divide'( inverse( X ),
% 0.71/1.11 inverse( Y ) ) ), multiply( inverse( Z ), multiply( Y, Z ) ) ) ] )
% 0.71/1.11 , clause( 45, [ =( multiply( inverse( Y ), 'double_divide'( inverse( Y ),
% 0.71/1.11 inverse( Z ) ) ), Z ) ] )
% 0.71/1.11 , 0, clause( 257, [ =( multiply( Y, Z ), multiply( inverse( X ), multiply(
% 0.71/1.11 multiply( Y, Z ), X ) ) ) ] )
% 0.71/1.11 , 0, 13, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.71/1.11 substitution( 1, [ :=( X, Z ), :=( Y, inverse( X ) ), :=( Z,
% 0.71/1.11 'double_divide'( inverse( X ), inverse( Y ) ) )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 260, [ =( Y, multiply( inverse( Z ), multiply( Y, Z ) ) ) ] )
% 0.71/1.11 , clause( 45, [ =( multiply( inverse( Y ), 'double_divide'( inverse( Y ),
% 0.71/1.11 inverse( Z ) ) ), Z ) ] )
% 0.71/1.11 , 0, clause( 259, [ =( multiply( inverse( X ), 'double_divide'( inverse( X
% 0.71/1.11 ), inverse( Y ) ) ), multiply( inverse( Z ), multiply( Y, Z ) ) ) ] )
% 0.71/1.11 , 0, 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y )] ),
% 0.71/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 262, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.71/1.11 , clause( 260, [ =( Y, multiply( inverse( Z ), multiply( Y, Z ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 52, [ =( multiply( inverse( Z ), multiply( Y, Z ) ), Y ) ] )
% 0.71/1.11 , clause( 262, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 264, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.71/1.11 , clause( 52, [ =( multiply( inverse( Z ), multiply( Y, Z ) ), Y ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 267, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y )
% 0.71/1.11 ) ] )
% 0.71/1.11 , clause( 52, [ =( multiply( inverse( Z ), multiply( Y, Z ) ), Y ) ] )
% 0.71/1.11 , 0, clause( 264, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.71/1.11 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.71/1.11 substitution( 1, [ :=( X, multiply( Y, X ) ), :=( Y, inverse( X ) )] )
% 0.71/1.11 ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 268, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 0.71/1.11 ) ] )
% 0.71/1.11 , clause( 267, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y
% 0.71/1.11 ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 60, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X ) )
% 0.71/1.11 ] )
% 0.71/1.11 , clause( 268, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X
% 0.71/1.11 ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 270, [ =( 'double_divide'( Y, X ), 'double_divide'( multiply(
% 0.71/1.11 multiply( X, Y ), Z ), inverse( Z ) ) ) ] )
% 0.71/1.11 , clause( 12, [ =( 'double_divide'( multiply( multiply( Y, X ), Z ),
% 0.71/1.11 inverse( Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 272, [ =( 'double_divide'( multiply( inverse( X ), Y ), inverse( Z
% 0.71/1.11 ) ), 'double_divide'( inverse( X ), inverse( multiply( inverse( Y ), Z )
% 0.71/1.11 ) ) ) ] )
% 0.71/1.11 , clause( 9, [ =( multiply( multiply( inverse( Y ), multiply( inverse( Z )
% 0.71/1.11 , X ) ), multiply( inverse( X ), Y ) ), inverse( Z ) ) ] )
% 0.71/1.11 , 0, clause( 270, [ =( 'double_divide'( Y, X ), 'double_divide'( multiply(
% 0.71/1.11 multiply( X, Y ), Z ), inverse( Z ) ) ) ] )
% 0.71/1.11 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.71/1.11 substitution( 1, [ :=( X, inverse( Z ) ), :=( Y, multiply( inverse( X ),
% 0.71/1.11 Y ) ), :=( Z, multiply( inverse( Y ), Z ) )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 274, [ =( 'double_divide'( multiply( inverse( X ), Y ), inverse( Z
% 0.71/1.11 ) ), multiply( multiply( inverse( Y ), Z ), X ) ) ] )
% 0.71/1.11 , clause( 26, [ =( 'double_divide'( inverse( Z ), inverse( multiply( Y, X )
% 0.71/1.11 ) ), multiply( multiply( Y, X ), Z ) ) ] )
% 0.71/1.11 , 0, clause( 272, [ =( 'double_divide'( multiply( inverse( X ), Y ),
% 0.71/1.11 inverse( Z ) ), 'double_divide'( inverse( X ), inverse( multiply( inverse(
% 0.71/1.11 Y ), Z ) ) ) ) ] )
% 0.71/1.11 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, inverse( Y ) ), :=( Z, X )] )
% 0.71/1.11 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 73, [ =( 'double_divide'( multiply( inverse( Y ), Z ), inverse( X )
% 0.71/1.11 ), multiply( multiply( inverse( Z ), X ), Y ) ) ] )
% 0.71/1.11 , clause( 274, [ =( 'double_divide'( multiply( inverse( X ), Y ), inverse(
% 0.71/1.11 Z ) ), multiply( multiply( inverse( Y ), Z ), X ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.71/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 277, [ =( X, 'double_divide'( multiply( inverse( X ),
% 0.71/1.11 'double_divide'( Y, Z ) ), multiply( Z, Y ) ) ) ] )
% 0.71/1.11 , clause( 13, [ =( 'double_divide'( multiply( inverse( Z ), 'double_divide'(
% 0.71/1.11 X, Y ) ), multiply( Y, X ) ), Z ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 282, [ =( X, 'double_divide'( multiply( inverse( X ),
% 0.71/1.11 'double_divide'( Y, inverse( multiply( Y, Z ) ) ) ), inverse( Z ) ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , clause( 60, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 0.71/1.11 ) ] )
% 0.71/1.11 , 0, clause( 277, [ =( X, 'double_divide'( multiply( inverse( X ),
% 0.71/1.11 'double_divide'( Y, Z ) ), multiply( Z, Y ) ) ) ] )
% 0.71/1.11 , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.11 :=( X, X ), :=( Y, Y ), :=( Z, inverse( multiply( Y, Z ) ) )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 283, [ =( X, multiply( multiply( inverse( 'double_divide'( Y,
% 0.71/1.11 inverse( multiply( Y, Z ) ) ) ), Z ), X ) ) ] )
% 0.71/1.11 , clause( 73, [ =( 'double_divide'( multiply( inverse( Y ), Z ), inverse( X
% 0.71/1.11 ) ), multiply( multiply( inverse( Z ), X ), Y ) ) ] )
% 0.71/1.11 , 0, clause( 282, [ =( X, 'double_divide'( multiply( inverse( X ),
% 0.71/1.11 'double_divide'( Y, inverse( multiply( Y, Z ) ) ) ), inverse( Z ) ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, 'double_divide'(
% 0.71/1.11 Y, inverse( multiply( Y, Z ) ) ) )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.11 :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 284, [ =( X, multiply( multiply( multiply( inverse( multiply( Y, Z
% 0.71/1.11 ) ), Y ), Z ), X ) ) ] )
% 0.71/1.11 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.11 )
% 0.71/1.11 , 0, clause( 283, [ =( X, multiply( multiply( inverse( 'double_divide'( Y,
% 0.71/1.11 inverse( multiply( Y, Z ) ) ) ), Z ), X ) ) ] )
% 0.71/1.11 , 0, 4, substitution( 0, [ :=( X, inverse( multiply( Y, Z ) ) ), :=( Y, Y )] )
% 0.71/1.11 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 285, [ =( X, multiply( multiply( inverse( Z ), Z ), X ) ) ] )
% 0.71/1.11 , clause( 60, [ =( multiply( inverse( multiply( Y, X ) ), Y ), inverse( X )
% 0.71/1.11 ) ] )
% 0.71/1.11 , 0, clause( 284, [ =( X, multiply( multiply( multiply( inverse( multiply(
% 0.71/1.11 Y, Z ) ), Y ), Z ), X ) ) ] )
% 0.71/1.11 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.11 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 286, [ =( multiply( multiply( inverse( Y ), Y ), X ), X ) ] )
% 0.71/1.11 , clause( 285, [ =( X, multiply( multiply( inverse( Z ), Z ), X ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 93, [ =( multiply( multiply( inverse( Y ), Y ), Z ), Z ) ] )
% 0.71/1.11 , clause( 286, [ =( multiply( multiply( inverse( Y ), Y ), X ), X ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 288, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.71/1.11 , clause( 52, [ =( multiply( inverse( Z ), multiply( Y, Z ) ), Y ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 289, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y )
% 0.71/1.11 ) ] )
% 0.71/1.11 , clause( 93, [ =( multiply( multiply( inverse( Y ), Y ), Z ), Z ) ] )
% 0.71/1.11 , 0, clause( 288, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.71/1.11 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.71/1.11 substitution( 1, [ :=( X, Y ), :=( Y, multiply( inverse( X ), X ) )] )
% 0.71/1.11 ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 98, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X ) )
% 0.71/1.11 ] )
% 0.71/1.11 , clause( 289, [ =( multiply( inverse( X ), X ), multiply( inverse( Y ), Y
% 0.71/1.11 ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 290, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.71/1.11 , b1 ) ) ) ] )
% 0.71/1.11 , clause( 2, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.71/1.11 , a1 ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 292, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.71/1.11 , X ) ) ) ] )
% 0.71/1.11 , clause( 98, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X )
% 0.71/1.11 ) ] )
% 0.71/1.11 , 0, clause( 290, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.71/1.11 b1 ), b1 ) ) ) ] )
% 0.71/1.11 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, b1 )] ), substitution( 1, [] )
% 0.71/1.11 ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 paramod(
% 0.71/1.11 clause( 293, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X
% 0.71/1.11 ) ) ) ] )
% 0.71/1.11 , clause( 98, [ =( multiply( inverse( Y ), Y ), multiply( inverse( X ), X )
% 0.71/1.11 ) ] )
% 0.71/1.11 , 0, clause( 292, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse(
% 0.71/1.11 X ), X ) ) ) ] )
% 0.71/1.11 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, a1 )] ), substitution( 1, [
% 0.71/1.11 :=( X, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 116, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 ),
% 0.71/1.11 a1 ) ) ) ] )
% 0.71/1.11 , clause( 293, [ ~( =( multiply( inverse( Y ), Y ), multiply( inverse( X )
% 0.71/1.11 , X ) ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, a1 ), :=( Y, X )] ), permutation( 0, [ ==>( 0,
% 0.71/1.11 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqswap(
% 0.71/1.11 clause( 294, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X )
% 0.71/1.11 , X ) ) ) ] )
% 0.71/1.11 , clause( 116, [ ~( =( multiply( inverse( X ), X ), multiply( inverse( a1 )
% 0.71/1.11 , a1 ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 eqrefl(
% 0.71/1.11 clause( 295, [] )
% 0.71/1.11 , clause( 294, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( X
% 0.71/1.11 ), X ) ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, a1 )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 118, [] )
% 0.71/1.11 , clause( 295, [] )
% 0.71/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 end.
% 0.71/1.11
% 0.71/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.11
% 0.71/1.11 Memory use:
% 0.71/1.11
% 0.71/1.11 space for terms: 1625
% 0.71/1.11 space for clauses: 15098
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 clauses generated: 483
% 0.71/1.11 clauses kept: 119
% 0.71/1.11 clauses selected: 26
% 0.71/1.11 clauses deleted: 2
% 0.71/1.11 clauses inuse deleted: 0
% 0.71/1.11
% 0.71/1.11 subsentry: 563
% 0.71/1.11 literals s-matched: 171
% 0.71/1.11 literals matched: 165
% 0.71/1.11 full subsumption: 0
% 0.71/1.11
% 0.71/1.11 checksum: -1530137921
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Bliksem ended
%------------------------------------------------------------------------------