TSTP Solution File: GRP596-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP596-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 0.68s 1.09s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP596-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 13 11:14:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.68/1.09 *** allocated 10000 integers for termspace/termends
% 0.68/1.09 *** allocated 10000 integers for clauses
% 0.68/1.09 *** allocated 10000 integers for justifications
% 0.68/1.09 Bliksem 1.12
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Automatic Strategy Selection
% 0.68/1.09
% 0.68/1.09 Clauses:
% 0.68/1.09 [
% 0.68/1.09 [ =( inverse( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.68/1.09 'double_divide'( X, inverse( 'double_divide'( Z, Y ) ) ) ) ) ), Z ) ]
% 0.68/1.09 ,
% 0.68/1.09 [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) ) ],
% 0.68/1.09 [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ]
% 0.68/1.09 ] .
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.68/1.09 This is a pure equality problem
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Options Used:
% 0.68/1.09
% 0.68/1.09 useres = 1
% 0.68/1.09 useparamod = 1
% 0.68/1.09 useeqrefl = 1
% 0.68/1.09 useeqfact = 1
% 0.68/1.09 usefactor = 1
% 0.68/1.09 usesimpsplitting = 0
% 0.68/1.09 usesimpdemod = 5
% 0.68/1.09 usesimpres = 3
% 0.68/1.09
% 0.68/1.09 resimpinuse = 1000
% 0.68/1.09 resimpclauses = 20000
% 0.68/1.09 substype = eqrewr
% 0.68/1.09 backwardsubs = 1
% 0.68/1.09 selectoldest = 5
% 0.68/1.09
% 0.68/1.09 litorderings [0] = split
% 0.68/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.68/1.09
% 0.68/1.09 termordering = kbo
% 0.68/1.09
% 0.68/1.09 litapriori = 0
% 0.68/1.09 termapriori = 1
% 0.68/1.09 litaposteriori = 0
% 0.68/1.09 termaposteriori = 0
% 0.68/1.09 demodaposteriori = 0
% 0.68/1.09 ordereqreflfact = 0
% 0.68/1.09
% 0.68/1.09 litselect = negord
% 0.68/1.09
% 0.68/1.09 maxweight = 15
% 0.68/1.09 maxdepth = 30000
% 0.68/1.09 maxlength = 115
% 0.68/1.09 maxnrvars = 195
% 0.68/1.09 excuselevel = 1
% 0.68/1.09 increasemaxweight = 1
% 0.68/1.09
% 0.68/1.09 maxselected = 10000000
% 0.68/1.09 maxnrclauses = 10000000
% 0.68/1.09
% 0.68/1.09 showgenerated = 0
% 0.68/1.09 showkept = 0
% 0.68/1.09 showselected = 0
% 0.68/1.09 showdeleted = 0
% 0.68/1.09 showresimp = 1
% 0.68/1.09 showstatus = 2000
% 0.68/1.09
% 0.68/1.09 prologoutput = 1
% 0.68/1.09 nrgoals = 5000000
% 0.68/1.09 totalproof = 1
% 0.68/1.09
% 0.68/1.09 Symbols occurring in the translation:
% 0.68/1.09
% 0.68/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.09 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.68/1.09 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.68/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.09 'double_divide' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.68/1.09 inverse [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.68/1.09 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.68/1.09 a [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.68/1.09 b [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Starting Search:
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 Bliksems!, er is een bewijs:
% 0.68/1.09 % SZS status Unsatisfiable
% 0.68/1.09 % SZS output start Refutation
% 0.68/1.09
% 0.68/1.09 clause( 0, [ =( inverse( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.68/1.09 'double_divide'( X, inverse( 'double_divide'( Z, Y ) ) ) ) ) ), Z ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 2, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 3, [ =( multiply( multiply( multiply( Y, Z ), X ), 'double_divide'(
% 0.68/1.09 X, Y ) ), Z ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 4, [ =( multiply( Y, 'double_divide'( 'double_divide'( Z, X ),
% 0.68/1.09 multiply( X, Y ) ) ), Z ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 5, [ =( multiply( multiply( Y, T ), 'double_divide'( T, multiply(
% 0.68/1.09 multiply( X, Y ), Z ) ) ), 'double_divide'( Z, X ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 10, [ =( 'double_divide'( multiply( X, 'double_divide'( Y, multiply(
% 0.68/1.09 Z, X ) ) ), Z ), Y ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 13, [ =( 'double_divide'( 'double_divide'( multiply( X, Y ), Z ),
% 0.68/1.09 multiply( Z, X ) ), Y ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 24, [ =( multiply( multiply( Z, X ), 'double_divide'( multiply( X,
% 0.68/1.09 Y ), Z ) ), inverse( Y ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 26, [ =( multiply( inverse( Z ), 'double_divide'( 'double_divide'(
% 0.68/1.09 multiply( Y, Z ), X ), X ) ), Y ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 28, [ =( 'double_divide'( multiply( Y, X ), multiply( Z, inverse( X
% 0.68/1.09 ) ) ), 'double_divide'( Y, Z ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 45, [ =( 'double_divide'( multiply( inverse( Y ), 'double_divide'(
% 0.68/1.09 X, Z ) ), Z ), multiply( X, Y ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 48, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), X ),
% 0.68/1.09 'double_divide'( Y, Z ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 61, [ =( multiply( Y, 'double_divide'( Y, multiply( Z, X ) ) ),
% 0.68/1.09 'double_divide'( X, Z ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 73, [ =( inverse( multiply( X, Y ) ), 'double_divide'( Y, X ) ) ]
% 0.68/1.09 )
% 0.68/1.09 .
% 0.68/1.09 clause( 78, [ =( 'double_divide'( 'double_divide'( X, Y ), Y ), X ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 92, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 97, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) ) ]
% 0.68/1.09 )
% 0.68/1.09 .
% 0.68/1.09 clause( 114, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.68/1.09 .
% 0.68/1.09 clause( 154, [] )
% 0.68/1.09 .
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 % SZS output end Refutation
% 0.68/1.09 found a proof!
% 0.68/1.09
% 0.68/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.09
% 0.68/1.09 initialclauses(
% 0.68/1.09 [ clause( 156, [ =( inverse( 'double_divide'( 'double_divide'( X, Y ),
% 0.68/1.09 inverse( 'double_divide'( X, inverse( 'double_divide'( Z, Y ) ) ) ) ) ),
% 0.68/1.09 Z ) ] )
% 0.68/1.09 , clause( 157, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) )
% 0.68/1.09 ] )
% 0.68/1.09 , clause( 158, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.68/1.09 ] ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 0, [ =( inverse( 'double_divide'( 'double_divide'( X, Y ), inverse(
% 0.68/1.09 'double_divide'( X, inverse( 'double_divide'( Z, Y ) ) ) ) ) ), Z ) ] )
% 0.68/1.09 , clause( 156, [ =( inverse( 'double_divide'( 'double_divide'( X, Y ),
% 0.68/1.09 inverse( 'double_divide'( X, inverse( 'double_divide'( Z, Y ) ) ) ) ) ),
% 0.68/1.09 Z ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 161, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , clause( 157, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) )
% 0.68/1.09 ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.68/1.09 , clause( 161, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) )
% 0.68/1.09 ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 2, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.68/1.09 , clause( 158, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.68/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 171, [ =( inverse( 'double_divide'( 'double_divide'( X, Y ),
% 0.68/1.09 inverse( 'double_divide'( X, multiply( Y, Z ) ) ) ) ), Z ) ] )
% 0.68/1.09 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , 0, clause( 0, [ =( inverse( 'double_divide'( 'double_divide'( X, Y ),
% 0.68/1.09 inverse( 'double_divide'( X, inverse( 'double_divide'( Z, Y ) ) ) ) ) ),
% 0.68/1.09 Z ) ] )
% 0.68/1.09 , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.68/1.09 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 177, [ =( inverse( 'double_divide'( 'double_divide'( X, Y ),
% 0.68/1.09 multiply( multiply( Y, Z ), X ) ) ), Z ) ] )
% 0.68/1.09 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , 0, clause( 171, [ =( inverse( 'double_divide'( 'double_divide'( X, Y ),
% 0.68/1.09 inverse( 'double_divide'( X, multiply( Y, Z ) ) ) ) ), Z ) ] )
% 0.68/1.09 , 0, 6, substitution( 0, [ :=( X, multiply( Y, Z ) ), :=( Y, X )] ),
% 0.68/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 179, [ =( multiply( multiply( multiply( Y, Z ), X ),
% 0.68/1.09 'double_divide'( X, Y ) ), Z ) ] )
% 0.68/1.09 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , 0, clause( 177, [ =( inverse( 'double_divide'( 'double_divide'( X, Y ),
% 0.68/1.09 multiply( multiply( Y, Z ), X ) ) ), Z ) ] )
% 0.68/1.09 , 0, 1, substitution( 0, [ :=( X, multiply( multiply( Y, Z ), X ) ), :=( Y
% 0.68/1.09 , 'double_divide'( X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.68/1.09 , :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 3, [ =( multiply( multiply( multiply( Y, Z ), X ), 'double_divide'(
% 0.68/1.09 X, Y ) ), Z ) ] )
% 0.68/1.09 , clause( 179, [ =( multiply( multiply( multiply( Y, Z ), X ),
% 0.68/1.09 'double_divide'( X, Y ) ), Z ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 181, [ =( Y, multiply( multiply( multiply( X, Y ), Z ),
% 0.68/1.09 'double_divide'( Z, X ) ) ) ] )
% 0.68/1.09 , clause( 3, [ =( multiply( multiply( multiply( Y, Z ), X ),
% 0.68/1.09 'double_divide'( X, Y ) ), Z ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 184, [ =( X, multiply( Z, 'double_divide'( 'double_divide'( X, Y )
% 0.68/1.09 , multiply( Y, Z ) ) ) ) ] )
% 0.68/1.09 , clause( 3, [ =( multiply( multiply( multiply( Y, Z ), X ),
% 0.68/1.09 'double_divide'( X, Y ) ), Z ) ] )
% 0.68/1.09 , 0, clause( 181, [ =( Y, multiply( multiply( multiply( X, Y ), Z ),
% 0.68/1.09 'double_divide'( Z, X ) ) ) ] )
% 0.68/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 substitution( 1, [ :=( X, multiply( Y, Z ) ), :=( Y, X ), :=( Z,
% 0.68/1.09 'double_divide'( X, Y ) )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 186, [ =( multiply( Y, 'double_divide'( 'double_divide'( X, Z ),
% 0.68/1.09 multiply( Z, Y ) ) ), X ) ] )
% 0.68/1.09 , clause( 184, [ =( X, multiply( Z, 'double_divide'( 'double_divide'( X, Y
% 0.68/1.09 ), multiply( Y, Z ) ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 4, [ =( multiply( Y, 'double_divide'( 'double_divide'( Z, X ),
% 0.68/1.09 multiply( X, Y ) ) ), Z ) ] )
% 0.68/1.09 , clause( 186, [ =( multiply( Y, 'double_divide'( 'double_divide'( X, Z ),
% 0.68/1.09 multiply( Z, Y ) ) ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 188, [ =( Y, multiply( multiply( multiply( X, Y ), Z ),
% 0.68/1.09 'double_divide'( Z, X ) ) ) ] )
% 0.68/1.09 , clause( 3, [ =( multiply( multiply( multiply( Y, Z ), X ),
% 0.68/1.09 'double_divide'( X, Y ) ), Z ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 192, [ =( 'double_divide'( X, Y ), multiply( multiply( Z, T ),
% 0.68/1.09 'double_divide'( T, multiply( multiply( Y, Z ), X ) ) ) ) ] )
% 0.68/1.09 , clause( 3, [ =( multiply( multiply( multiply( Y, Z ), X ),
% 0.68/1.09 'double_divide'( X, Y ) ), Z ) ] )
% 0.68/1.09 , 0, clause( 188, [ =( Y, multiply( multiply( multiply( X, Y ), Z ),
% 0.68/1.09 'double_divide'( Z, X ) ) ) ] )
% 0.68/1.09 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 substitution( 1, [ :=( X, multiply( multiply( Y, Z ), X ) ), :=( Y,
% 0.68/1.09 'double_divide'( X, Y ) ), :=( Z, T )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 194, [ =( multiply( multiply( Z, T ), 'double_divide'( T, multiply(
% 0.68/1.09 multiply( Y, Z ), X ) ) ), 'double_divide'( X, Y ) ) ] )
% 0.68/1.09 , clause( 192, [ =( 'double_divide'( X, Y ), multiply( multiply( Z, T ),
% 0.68/1.09 'double_divide'( T, multiply( multiply( Y, Z ), X ) ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 5, [ =( multiply( multiply( Y, T ), 'double_divide'( T, multiply(
% 0.68/1.09 multiply( X, Y ), Z ) ) ), 'double_divide'( Z, X ) ) ] )
% 0.68/1.09 , clause( 194, [ =( multiply( multiply( Z, T ), 'double_divide'( T,
% 0.68/1.09 multiply( multiply( Y, Z ), X ) ) ), 'double_divide'( X, Y ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 195, [ =( 'double_divide'( T, Z ), multiply( multiply( X, Y ),
% 0.68/1.09 'double_divide'( Y, multiply( multiply( Z, X ), T ) ) ) ) ] )
% 0.68/1.09 , clause( 5, [ =( multiply( multiply( Y, T ), 'double_divide'( T, multiply(
% 0.68/1.09 multiply( X, Y ), Z ) ) ), 'double_divide'( Z, X ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 197, [ =( 'double_divide'( multiply( X, 'double_divide'( Y,
% 0.68/1.09 multiply( Z, X ) ) ), Z ), Y ) ] )
% 0.68/1.09 , clause( 4, [ =( multiply( Y, 'double_divide'( 'double_divide'( Z, X ),
% 0.68/1.09 multiply( X, Y ) ) ), Z ) ] )
% 0.68/1.09 , 0, clause( 195, [ =( 'double_divide'( T, Z ), multiply( multiply( X, Y )
% 0.68/1.09 , 'double_divide'( Y, multiply( multiply( Z, X ), T ) ) ) ) ] )
% 0.68/1.09 , 0, 10, substitution( 0, [ :=( X, multiply( Z, X ) ), :=( Y, multiply( X,
% 0.68/1.09 'double_divide'( Y, multiply( Z, X ) ) ) ), :=( Z, Y )] ), substitution(
% 0.68/1.09 1, [ :=( X, X ), :=( Y, 'double_divide'( Y, multiply( Z, X ) ) ), :=( Z,
% 0.68/1.09 Z ), :=( T, multiply( X, 'double_divide'( Y, multiply( Z, X ) ) ) )] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 10, [ =( 'double_divide'( multiply( X, 'double_divide'( Y, multiply(
% 0.68/1.09 Z, X ) ) ), Z ), Y ) ] )
% 0.68/1.09 , clause( 197, [ =( 'double_divide'( multiply( X, 'double_divide'( Y,
% 0.68/1.09 multiply( Z, X ) ) ), Z ), Y ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 206, [ =( Y, 'double_divide'( multiply( X, 'double_divide'( Y,
% 0.68/1.09 multiply( Z, X ) ) ), Z ) ) ] )
% 0.68/1.09 , clause( 10, [ =( 'double_divide'( multiply( X, 'double_divide'( Y,
% 0.68/1.09 multiply( Z, X ) ) ), Z ), Y ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 211, [ =( X, 'double_divide'( 'double_divide'( multiply( Y, X ), Z
% 0.68/1.09 ), multiply( Z, Y ) ) ) ] )
% 0.68/1.09 , clause( 5, [ =( multiply( multiply( Y, T ), 'double_divide'( T, multiply(
% 0.68/1.09 multiply( X, Y ), Z ) ) ), 'double_divide'( Z, X ) ) ] )
% 0.68/1.09 , 0, clause( 206, [ =( Y, 'double_divide'( multiply( X, 'double_divide'( Y
% 0.68/1.09 , multiply( Z, X ) ) ), Z ) ) ] )
% 0.68/1.09 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, multiply( Y, X )
% 0.68/1.09 ), :=( T, X )] ), substitution( 1, [ :=( X, multiply( Y, X ) ), :=( Y, X
% 0.68/1.09 ), :=( Z, multiply( Z, Y ) )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 213, [ =( 'double_divide'( 'double_divide'( multiply( Y, X ), Z ),
% 0.68/1.09 multiply( Z, Y ) ), X ) ] )
% 0.68/1.09 , clause( 211, [ =( X, 'double_divide'( 'double_divide'( multiply( Y, X ),
% 0.68/1.09 Z ), multiply( Z, Y ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 13, [ =( 'double_divide'( 'double_divide'( multiply( X, Y ), Z ),
% 0.68/1.09 multiply( Z, X ) ), Y ) ] )
% 0.68/1.09 , clause( 213, [ =( 'double_divide'( 'double_divide'( multiply( Y, X ), Z )
% 0.68/1.09 , multiply( Z, Y ) ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 216, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 217, [ =( multiply( multiply( X, Y ), 'double_divide'( multiply( Y
% 0.68/1.09 , Z ), X ) ), inverse( Z ) ) ] )
% 0.68/1.09 , clause( 13, [ =( 'double_divide'( 'double_divide'( multiply( X, Y ), Z )
% 0.68/1.09 , multiply( Z, X ) ), Y ) ] )
% 0.68/1.09 , 0, clause( 216, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.68/1.09 ) ] )
% 0.68/1.09 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.68/1.09 substitution( 1, [ :=( X, 'double_divide'( multiply( Y, Z ), X ) ), :=( Y
% 0.68/1.09 , multiply( X, Y ) )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 24, [ =( multiply( multiply( Z, X ), 'double_divide'( multiply( X,
% 0.68/1.09 Y ), Z ) ), inverse( Y ) ) ] )
% 0.68/1.09 , clause( 217, [ =( multiply( multiply( X, Y ), 'double_divide'( multiply(
% 0.68/1.09 Y, Z ), X ) ), inverse( Z ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 220, [ =( Y, multiply( multiply( multiply( X, Y ), Z ),
% 0.68/1.09 'double_divide'( Z, X ) ) ) ] )
% 0.68/1.09 , clause( 3, [ =( multiply( multiply( multiply( Y, Z ), X ),
% 0.68/1.09 'double_divide'( X, Y ) ), Z ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 225, [ =( X, multiply( inverse( Z ), 'double_divide'(
% 0.68/1.09 'double_divide'( multiply( X, Z ), Y ), Y ) ) ) ] )
% 0.68/1.09 , clause( 24, [ =( multiply( multiply( Z, X ), 'double_divide'( multiply( X
% 0.68/1.09 , Y ), Z ) ), inverse( Y ) ) ] )
% 0.68/1.09 , 0, clause( 220, [ =( Y, multiply( multiply( multiply( X, Y ), Z ),
% 0.68/1.09 'double_divide'( Z, X ) ) ) ] )
% 0.68/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.68/1.09 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, 'double_divide'(
% 0.68/1.09 multiply( X, Z ), Y ) )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 227, [ =( multiply( inverse( Y ), 'double_divide'( 'double_divide'(
% 0.68/1.09 multiply( X, Y ), Z ), Z ) ), X ) ] )
% 0.68/1.09 , clause( 225, [ =( X, multiply( inverse( Z ), 'double_divide'(
% 0.68/1.09 'double_divide'( multiply( X, Z ), Y ), Y ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 26, [ =( multiply( inverse( Z ), 'double_divide'( 'double_divide'(
% 0.68/1.09 multiply( Y, Z ), X ), X ) ), Y ) ] )
% 0.68/1.09 , clause( 227, [ =( multiply( inverse( Y ), 'double_divide'(
% 0.68/1.09 'double_divide'( multiply( X, Y ), Z ), Z ) ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 230, [ =( Y, 'double_divide'( multiply( X, 'double_divide'( Y,
% 0.68/1.09 multiply( Z, X ) ) ), Z ) ) ] )
% 0.68/1.09 , clause( 10, [ =( 'double_divide'( multiply( X, 'double_divide'( Y,
% 0.68/1.09 multiply( Z, X ) ) ), Z ), Y ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 233, [ =( 'double_divide'( multiply( X, Y ), multiply( Z, inverse(
% 0.68/1.09 Y ) ) ), 'double_divide'( X, Z ) ) ] )
% 0.68/1.09 , clause( 26, [ =( multiply( inverse( Z ), 'double_divide'( 'double_divide'(
% 0.68/1.09 multiply( Y, Z ), X ), X ) ), Y ) ] )
% 0.68/1.09 , 0, clause( 230, [ =( Y, 'double_divide'( multiply( X, 'double_divide'( Y
% 0.68/1.09 , multiply( Z, X ) ) ), Z ) ) ] )
% 0.68/1.09 , 0, 10, substitution( 0, [ :=( X, multiply( Z, inverse( Y ) ) ), :=( Y, X
% 0.68/1.09 ), :=( Z, Y )] ), substitution( 1, [ :=( X, inverse( Y ) ), :=( Y,
% 0.68/1.09 'double_divide'( multiply( X, Y ), multiply( Z, inverse( Y ) ) ) ), :=( Z
% 0.68/1.09 , Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 28, [ =( 'double_divide'( multiply( Y, X ), multiply( Z, inverse( X
% 0.68/1.09 ) ) ), 'double_divide'( Y, Z ) ) ] )
% 0.68/1.09 , clause( 233, [ =( 'double_divide'( multiply( X, Y ), multiply( Z, inverse(
% 0.68/1.09 Y ) ) ), 'double_divide'( X, Z ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 238, [ =( Y, 'double_divide'( multiply( X, 'double_divide'( Y,
% 0.68/1.09 multiply( Z, X ) ) ), Z ) ) ] )
% 0.68/1.09 , clause( 10, [ =( 'double_divide'( multiply( X, 'double_divide'( Y,
% 0.68/1.09 multiply( Z, X ) ) ), Z ), Y ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 241, [ =( multiply( X, Y ), 'double_divide'( multiply( inverse( Y )
% 0.68/1.09 , 'double_divide'( X, Z ) ), Z ) ) ] )
% 0.68/1.09 , clause( 28, [ =( 'double_divide'( multiply( Y, X ), multiply( Z, inverse(
% 0.68/1.09 X ) ) ), 'double_divide'( Y, Z ) ) ] )
% 0.68/1.09 , 0, clause( 238, [ =( Y, 'double_divide'( multiply( X, 'double_divide'( Y
% 0.68/1.09 , multiply( Z, X ) ) ), Z ) ) ] )
% 0.68/1.09 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.68/1.09 substitution( 1, [ :=( X, inverse( Y ) ), :=( Y, multiply( X, Y ) ), :=(
% 0.68/1.09 Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 242, [ =( 'double_divide'( multiply( inverse( Y ), 'double_divide'(
% 0.68/1.09 X, Z ) ), Z ), multiply( X, Y ) ) ] )
% 0.68/1.09 , clause( 241, [ =( multiply( X, Y ), 'double_divide'( multiply( inverse( Y
% 0.68/1.09 ), 'double_divide'( X, Z ) ), Z ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 45, [ =( 'double_divide'( multiply( inverse( Y ), 'double_divide'(
% 0.68/1.09 X, Z ) ), Z ), multiply( X, Y ) ) ] )
% 0.68/1.09 , clause( 242, [ =( 'double_divide'( multiply( inverse( Y ),
% 0.68/1.09 'double_divide'( X, Z ) ), Z ), multiply( X, Y ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 244, [ =( multiply( Y, X ), 'double_divide'( multiply( inverse( X )
% 0.68/1.09 , 'double_divide'( Y, Z ) ), Z ) ) ] )
% 0.68/1.09 , clause( 45, [ =( 'double_divide'( multiply( inverse( Y ), 'double_divide'(
% 0.68/1.09 X, Z ) ), Z ), multiply( X, Y ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 248, [ =( multiply( 'double_divide'( multiply( X, Y ), Z ), Y ),
% 0.68/1.09 'double_divide'( X, Z ) ) ] )
% 0.68/1.09 , clause( 26, [ =( multiply( inverse( Z ), 'double_divide'( 'double_divide'(
% 0.68/1.09 multiply( Y, Z ), X ), X ) ), Y ) ] )
% 0.68/1.09 , 0, clause( 244, [ =( multiply( Y, X ), 'double_divide'( multiply( inverse(
% 0.68/1.09 X ), 'double_divide'( Y, Z ) ), Z ) ) ] )
% 0.68/1.09 , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.68/1.09 substitution( 1, [ :=( X, Y ), :=( Y, 'double_divide'( multiply( X, Y ),
% 0.68/1.09 Z ) ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 48, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), X ),
% 0.68/1.09 'double_divide'( Y, Z ) ) ] )
% 0.68/1.09 , clause( 248, [ =( multiply( 'double_divide'( multiply( X, Y ), Z ), Y ),
% 0.68/1.09 'double_divide'( X, Z ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 252, [ =( 'double_divide'( X, Z ), multiply( 'double_divide'(
% 0.68/1.09 multiply( X, Y ), Z ), Y ) ) ] )
% 0.68/1.09 , clause( 48, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), X ),
% 0.68/1.09 'double_divide'( Y, Z ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 256, [ =( 'double_divide'( X, Y ), multiply( Z, 'double_divide'( Z
% 0.68/1.09 , multiply( Y, X ) ) ) ) ] )
% 0.68/1.09 , clause( 10, [ =( 'double_divide'( multiply( X, 'double_divide'( Y,
% 0.68/1.09 multiply( Z, X ) ) ), Z ), Y ) ] )
% 0.68/1.09 , 0, clause( 252, [ =( 'double_divide'( X, Z ), multiply( 'double_divide'(
% 0.68/1.09 multiply( X, Y ), Z ), Y ) ) ] )
% 0.68/1.09 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.68/1.09 substitution( 1, [ :=( X, X ), :=( Y, 'double_divide'( Z, multiply( Y, X
% 0.68/1.09 ) ) ), :=( Z, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 258, [ =( multiply( Z, 'double_divide'( Z, multiply( Y, X ) ) ),
% 0.68/1.09 'double_divide'( X, Y ) ) ] )
% 0.68/1.09 , clause( 256, [ =( 'double_divide'( X, Y ), multiply( Z, 'double_divide'(
% 0.68/1.09 Z, multiply( Y, X ) ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 61, [ =( multiply( Y, 'double_divide'( Y, multiply( Z, X ) ) ),
% 0.68/1.09 'double_divide'( X, Z ) ) ] )
% 0.68/1.09 , clause( 258, [ =( multiply( Z, 'double_divide'( Z, multiply( Y, X ) ) ),
% 0.68/1.09 'double_divide'( X, Y ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.68/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 259, [ =( 'double_divide'( Z, Y ), multiply( X, 'double_divide'( X
% 0.68/1.09 , multiply( Y, Z ) ) ) ) ] )
% 0.68/1.09 , clause( 61, [ =( multiply( Y, 'double_divide'( Y, multiply( Z, X ) ) ),
% 0.68/1.09 'double_divide'( X, Z ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 261, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , clause( 24, [ =( multiply( multiply( Z, X ), 'double_divide'( multiply( X
% 0.68/1.09 , Y ), Z ) ), inverse( Y ) ) ] )
% 0.68/1.09 , 0, clause( 259, [ =( 'double_divide'( Z, Y ), multiply( X,
% 0.68/1.09 'double_divide'( X, multiply( Y, Z ) ) ) ) ] )
% 0.68/1.09 , 0, 4, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, multiply( Y, X
% 0.68/1.09 ) ), :=( Z, multiply( Y, X ) )] ), substitution( 1, [ :=( X, multiply(
% 0.68/1.09 multiply( Y, X ), multiply( Y, X ) ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 263, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , clause( 261, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) )
% 0.68/1.09 ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 73, [ =( inverse( multiply( X, Y ) ), 'double_divide'( Y, X ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , clause( 263, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) )
% 0.68/1.09 ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 266, [ =( Y, 'double_divide'( multiply( X, 'double_divide'( Y,
% 0.68/1.09 multiply( Z, X ) ) ), Z ) ) ] )
% 0.68/1.09 , clause( 10, [ =( 'double_divide'( multiply( X, 'double_divide'( Y,
% 0.68/1.09 multiply( Z, X ) ) ), Z ), Y ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 271, [ =( X, 'double_divide'( 'double_divide'( X, Y ), Y ) ) ] )
% 0.68/1.09 , clause( 61, [ =( multiply( Y, 'double_divide'( Y, multiply( Z, X ) ) ),
% 0.68/1.09 'double_divide'( X, Z ) ) ] )
% 0.68/1.09 , 0, clause( 266, [ =( Y, 'double_divide'( multiply( X, 'double_divide'( Y
% 0.68/1.09 , multiply( Z, X ) ) ), Z ) ) ] )
% 0.68/1.09 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] ),
% 0.68/1.09 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 273, [ =( 'double_divide'( 'double_divide'( X, Y ), Y ), X ) ] )
% 0.68/1.09 , clause( 271, [ =( X, 'double_divide'( 'double_divide'( X, Y ), Y ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 78, [ =( 'double_divide'( 'double_divide'( X, Y ), Y ), X ) ] )
% 0.68/1.09 , clause( 273, [ =( 'double_divide'( 'double_divide'( X, Y ), Y ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 276, [ =( Y, multiply( inverse( X ), 'double_divide'(
% 0.68/1.09 'double_divide'( multiply( Y, X ), Z ), Z ) ) ) ] )
% 0.68/1.09 , clause( 26, [ =( multiply( inverse( Z ), 'double_divide'( 'double_divide'(
% 0.68/1.09 multiply( Y, Z ), X ), X ) ), Y ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 277, [ =( X, multiply( inverse( Y ), multiply( X, Y ) ) ) ] )
% 0.68/1.09 , clause( 78, [ =( 'double_divide'( 'double_divide'( X, Y ), Y ), X ) ] )
% 0.68/1.09 , 0, clause( 276, [ =( Y, multiply( inverse( X ), 'double_divide'(
% 0.68/1.09 'double_divide'( multiply( Y, X ), Z ), Z ) ) ) ] )
% 0.68/1.09 , 0, 5, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, Z )] ),
% 0.68/1.09 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 278, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.68/1.09 , clause( 277, [ =( X, multiply( inverse( Y ), multiply( X, Y ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 92, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.68/1.09 , clause( 278, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 279, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.68/1.09 , clause( 92, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 283, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) ), Y )
% 0.68/1.09 ) ] )
% 0.68/1.09 , clause( 92, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.68/1.09 , 0, clause( 279, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.68/1.09 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.68/1.09 :=( X, multiply( Y, X ) ), :=( Y, inverse( X ) )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 284, [ =( inverse( X ), multiply( 'double_divide'( X, Y ), Y ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , clause( 73, [ =( inverse( multiply( X, Y ) ), 'double_divide'( Y, X ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , 0, clause( 283, [ =( inverse( X ), multiply( inverse( multiply( Y, X ) )
% 0.68/1.09 , Y ) ) ] )
% 0.68/1.09 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.68/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 285, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , clause( 284, [ =( inverse( X ), multiply( 'double_divide'( X, Y ), Y ) )
% 0.68/1.09 ] )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 97, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , clause( 285, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) )
% 0.68/1.09 ] )
% 0.68/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 287, [ =( inverse( X ), multiply( 'double_divide'( X, Y ), Y ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , clause( 97, [ =( multiply( 'double_divide'( X, Y ), Y ), inverse( X ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 289, [ =( inverse( 'double_divide'( X, Y ) ), multiply( X, Y ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , clause( 78, [ =( 'double_divide'( 'double_divide'( X, Y ), Y ), X ) ] )
% 0.68/1.09 , 0, clause( 287, [ =( inverse( X ), multiply( 'double_divide'( X, Y ), Y )
% 0.68/1.09 ) ] )
% 0.68/1.09 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.68/1.09 :=( X, 'double_divide'( X, Y ) ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 290, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.68/1.09 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.68/1.09 )
% 0.68/1.09 , 0, clause( 289, [ =( inverse( 'double_divide'( X, Y ) ), multiply( X, Y )
% 0.68/1.09 ) ] )
% 0.68/1.09 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.68/1.09 :=( X, X ), :=( Y, Y )] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 subsumption(
% 0.68/1.09 clause( 114, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.68/1.09 , clause( 290, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.68/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.09 )] ) ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqswap(
% 0.68/1.09 clause( 291, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.68/1.09 , clause( 2, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.68/1.09 , 0, substitution( 0, [] )).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 paramod(
% 0.68/1.09 clause( 293, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.68/1.09 , clause( 114, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.68/1.09 , 0, clause( 291, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.68/1.09 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.68/1.09 ).
% 0.68/1.09
% 0.68/1.09
% 0.68/1.09 eqrefl(
% 0.68/1.09 clause( 296, [] )
% 0.68/1.09 , clause( 293, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 154, [] )
% 0.68/1.10 , clause( 296, [] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 end.
% 0.68/1.10
% 0.68/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.10
% 0.68/1.10 Memory use:
% 0.68/1.10
% 0.68/1.10 space for terms: 2044
% 0.68/1.10 space for clauses: 19568
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 clauses generated: 484
% 0.68/1.10 clauses kept: 155
% 0.68/1.10 clauses selected: 20
% 0.68/1.10 clauses deleted: 3
% 0.68/1.10 clauses inuse deleted: 0
% 0.68/1.10
% 0.68/1.10 subsentry: 449
% 0.68/1.10 literals s-matched: 129
% 0.68/1.10 literals matched: 120
% 0.68/1.10 full subsumption: 0
% 0.68/1.10
% 0.68/1.10 checksum: -1948903133
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 Bliksem ended
%------------------------------------------------------------------------------