%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP611-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 07:37:53 EDT 2022
% Result : Unsatisfiable 0.68s 1.04s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP611-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.32 % Computer : n009.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Tue Jun 14 02:10:23 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.68/1.04 *** allocated 10000 integers for termspace/termends
% 0.68/1.04 *** allocated 10000 integers for clauses
% 0.68/1.04 *** allocated 10000 integers for justifications
% 0.68/1.04 Bliksem 1.12
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 Automatic Strategy Selection
% 0.68/1.04
% 0.68/1.04 Clauses:
% 0.68/1.04 [
% 0.68/1.04 [ =( inverse( 'double_divide'( inverse( 'double_divide'( inverse(
% 0.68/1.04 'double_divide'( X, Y ) ), Z ) ), 'double_divide'( X, Z ) ) ), Y ) ],
% 0.68/1.04 [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) ) ],
% 0.68/1.04 [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 0.68/1.04 c3 ) ) ) ) ]
% 0.68/1.04 ] .
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 percentage equality = 1.000000, percentage horn = 1.000000
% 0.68/1.04 This is a pure equality problem
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 Options Used:
% 0.68/1.04
% 0.68/1.04 useres = 1
% 0.68/1.04 useparamod = 1
% 0.68/1.04 useeqrefl = 1
% 0.68/1.04 useeqfact = 1
% 0.68/1.04 usefactor = 1
% 0.68/1.04 usesimpsplitting = 0
% 0.68/1.04 usesimpdemod = 5
% 0.68/1.04 usesimpres = 3
% 0.68/1.04
% 0.68/1.04 resimpinuse = 1000
% 0.68/1.04 resimpclauses = 20000
% 0.68/1.04 substype = eqrewr
% 0.68/1.04 backwardsubs = 1
% 0.68/1.04 selectoldest = 5
% 0.68/1.04
% 0.68/1.04 litorderings [0] = split
% 0.68/1.04 litorderings [1] = extend the termordering, first sorting on arguments
% 0.68/1.04
% 0.68/1.04 termordering = kbo
% 0.68/1.04
% 0.68/1.04 litapriori = 0
% 0.68/1.04 termapriori = 1
% 0.68/1.04 litaposteriori = 0
% 0.68/1.04 termaposteriori = 0
% 0.68/1.04 demodaposteriori = 0
% 0.68/1.04 ordereqreflfact = 0
% 0.68/1.04
% 0.68/1.04 litselect = negord
% 0.68/1.04
% 0.68/1.04 maxweight = 15
% 0.68/1.04 maxdepth = 30000
% 0.68/1.04 maxlength = 115
% 0.68/1.04 maxnrvars = 195
% 0.68/1.04 excuselevel = 1
% 0.68/1.04 increasemaxweight = 1
% 0.68/1.04
% 0.68/1.04 maxselected = 10000000
% 0.68/1.04 maxnrclauses = 10000000
% 0.68/1.04
% 0.68/1.04 showgenerated = 0
% 0.68/1.04 showkept = 0
% 0.68/1.04 showselected = 0
% 0.68/1.04 showdeleted = 0
% 0.68/1.04 showresimp = 1
% 0.68/1.04 showstatus = 2000
% 0.68/1.04
% 0.68/1.04 prologoutput = 1
% 0.68/1.04 nrgoals = 5000000
% 0.68/1.04 totalproof = 1
% 0.68/1.04
% 0.68/1.04 Symbols occurring in the translation:
% 0.68/1.04
% 0.68/1.04 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.04 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.68/1.04 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.68/1.04 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.04 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.04 'double_divide' [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.68/1.04 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.68/1.04 multiply [44, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.68/1.04 a3 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.68/1.04 b3 [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.68/1.04 c3 [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 Starting Search:
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 Bliksems!, er is een bewijs:
% 0.68/1.04 % SZS status Unsatisfiable
% 0.68/1.04 % SZS output start Refutation
% 0.68/1.04
% 0.68/1.04 clause( 0, [ =( inverse( 'double_divide'( inverse( 'double_divide'( inverse(
% 0.68/1.04 'double_divide'( X, Y ) ), Z ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 2, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.68/1.04 a3, b3 ), c3 ) ) ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 3, [ =( multiply( 'double_divide'( X, Z ), multiply( Z, multiply( Y
% 0.68/1.04 , X ) ) ), Y ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 4, [ =( multiply( 'double_divide'( multiply( Z, X ),
% 0.68/1.04 'double_divide'( X, Y ) ), Z ), Y ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 5, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X ) )
% 0.68/1.04 , T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 10, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply( X
% 0.68/1.04 , Y ), Z ), X ) ), Z ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 13, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'( Z,
% 0.68/1.04 multiply( X, Y ) ) ), X ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 24, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ), multiply(
% 0.68/1.04 X, Y ) ), inverse( Z ) ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 26, [ =( multiply( 'double_divide'( X, 'double_divide'( X, multiply(
% 0.68/1.04 Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 28, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply( X
% 0.68/1.04 , Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 44, [ =( 'double_divide'( Y, multiply( 'double_divide'( Y, Z ),
% 0.68/1.04 inverse( X ) ) ), multiply( X, Z ) ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 48, [ =( multiply( Y, 'double_divide'( X, multiply( Y, Z ) ) ),
% 0.68/1.04 'double_divide'( X, Z ) ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 62, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.68/1.04 'double_divide'( X, Y ) ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 79, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 99, [ =( multiply( 'double_divide'( X, Y ), X ), inverse( Y ) ) ]
% 0.68/1.04 )
% 0.68/1.04 .
% 0.68/1.04 clause( 227, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( Z, X
% 0.68/1.04 ), Y ) ) ] )
% 0.68/1.04 .
% 0.68/1.04 clause( 347, [] )
% 0.68/1.04 .
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 % SZS output end Refutation
% 0.68/1.04 found a proof!
% 0.68/1.04
% 0.68/1.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.04
% 0.68/1.04 initialclauses(
% 0.68/1.04 [ clause( 349, [ =( inverse( 'double_divide'( inverse( 'double_divide'(
% 0.68/1.04 inverse( 'double_divide'( X, Y ) ), Z ) ), 'double_divide'( X, Z ) ) ), Y
% 0.68/1.04 ) ] )
% 0.68/1.04 , clause( 350, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) )
% 0.68/1.04 ] )
% 0.68/1.04 , clause( 351, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.68/1.04 multiply( b3, c3 ) ) ) ) ] )
% 0.68/1.04 ] ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 0, [ =( inverse( 'double_divide'( inverse( 'double_divide'( inverse(
% 0.68/1.04 'double_divide'( X, Y ) ), Z ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.68/1.04 , clause( 349, [ =( inverse( 'double_divide'( inverse( 'double_divide'(
% 0.68/1.04 inverse( 'double_divide'( X, Y ) ), Z ) ), 'double_divide'( X, Z ) ) ), Y
% 0.68/1.04 ) ] )
% 0.68/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 354, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.68/1.04 )
% 0.68/1.04 , clause( 350, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) )
% 0.68/1.04 ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.68/1.04 , clause( 354, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) )
% 0.68/1.04 ] )
% 0.68/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.04 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 357, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.68/1.04 a3, b3 ), c3 ) ) ) ] )
% 0.68/1.04 , clause( 351, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.68/1.04 multiply( b3, c3 ) ) ) ) ] )
% 0.68/1.04 , 0, substitution( 0, [] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 2, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.68/1.04 a3, b3 ), c3 ) ) ) ] )
% 0.68/1.04 , clause( 357, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.68/1.04 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.68/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 364, [ =( inverse( 'double_divide'( inverse( 'double_divide'(
% 0.68/1.04 multiply( Y, X ), Z ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.68/1.04 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.68/1.04 )
% 0.68/1.04 , 0, clause( 0, [ =( inverse( 'double_divide'( inverse( 'double_divide'(
% 0.68/1.04 inverse( 'double_divide'( X, Y ) ), Z ) ), 'double_divide'( X, Z ) ) ), Y
% 0.68/1.04 ) ] )
% 0.68/1.04 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.68/1.04 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 370, [ =( inverse( 'double_divide'( multiply( Z, multiply( X, Y ) )
% 0.68/1.04 , 'double_divide'( Y, Z ) ) ), X ) ] )
% 0.68/1.04 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.68/1.04 )
% 0.68/1.04 , 0, clause( 364, [ =( inverse( 'double_divide'( inverse( 'double_divide'(
% 0.68/1.04 multiply( Y, X ), Z ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.68/1.04 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, multiply( X, Y ) )] ),
% 0.68/1.04 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 372, [ =( multiply( 'double_divide'( Z, X ), multiply( X, multiply(
% 0.68/1.04 Y, Z ) ) ), Y ) ] )
% 0.68/1.04 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.68/1.04 )
% 0.68/1.04 , 0, clause( 370, [ =( inverse( 'double_divide'( multiply( Z, multiply( X,
% 0.68/1.04 Y ) ), 'double_divide'( Y, Z ) ) ), X ) ] )
% 0.68/1.04 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( Z, X ) ), :=( Y,
% 0.68/1.04 multiply( X, multiply( Y, Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=(
% 0.68/1.04 Y, Z ), :=( Z, X )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 3, [ =( multiply( 'double_divide'( X, Z ), multiply( Z, multiply( Y
% 0.68/1.04 , X ) ) ), Y ) ] )
% 0.68/1.04 , clause( 372, [ =( multiply( 'double_divide'( Z, X ), multiply( X,
% 0.68/1.04 multiply( Y, Z ) ) ), Y ) ] )
% 0.68/1.04 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.68/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 374, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.68/1.04 multiply( Z, X ) ) ) ) ] )
% 0.68/1.04 , clause( 3, [ =( multiply( 'double_divide'( X, Z ), multiply( Z, multiply(
% 0.68/1.04 Y, X ) ) ), Y ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 377, [ =( X, multiply( 'double_divide'( multiply( Y, Z ),
% 0.68/1.04 'double_divide'( Z, X ) ), Y ) ) ] )
% 0.68/1.04 , clause( 3, [ =( multiply( 'double_divide'( X, Z ), multiply( Z, multiply(
% 0.68/1.04 Y, X ) ) ), Y ) ] )
% 0.68/1.04 , 0, clause( 374, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.68/1.04 multiply( Z, X ) ) ) ) ] )
% 0.68/1.04 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.68/1.04 substitution( 1, [ :=( X, multiply( Y, Z ) ), :=( Y, 'double_divide'( Z,
% 0.68/1.04 X ) ), :=( Z, X )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 379, [ =( multiply( 'double_divide'( multiply( Y, Z ),
% 0.68/1.04 'double_divide'( Z, X ) ), Y ), X ) ] )
% 0.68/1.04 , clause( 377, [ =( X, multiply( 'double_divide'( multiply( Y, Z ),
% 0.68/1.04 'double_divide'( Z, X ) ), Y ) ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 4, [ =( multiply( 'double_divide'( multiply( Z, X ),
% 0.68/1.04 'double_divide'( X, Y ) ), Z ), Y ) ] )
% 0.68/1.04 , clause( 379, [ =( multiply( 'double_divide'( multiply( Y, Z ),
% 0.68/1.04 'double_divide'( Z, X ) ), Y ), X ) ] )
% 0.68/1.04 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.68/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 381, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.68/1.04 multiply( Z, X ) ) ) ) ] )
% 0.68/1.04 , clause( 3, [ =( multiply( 'double_divide'( X, Z ), multiply( Z, multiply(
% 0.68/1.04 Y, X ) ) ), Y ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 385, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'(
% 0.68/1.04 multiply( Y, multiply( Z, X ) ), T ), multiply( T, Z ) ) ) ] )
% 0.68/1.04 , clause( 3, [ =( multiply( 'double_divide'( X, Z ), multiply( Z, multiply(
% 0.68/1.04 Y, X ) ) ), Y ) ] )
% 0.68/1.04 , 0, clause( 381, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.68/1.04 multiply( Z, X ) ) ) ) ] )
% 0.68/1.04 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.68/1.04 substitution( 1, [ :=( X, multiply( Y, multiply( Z, X ) ) ), :=( Y, T ),
% 0.68/1.04 :=( Z, 'double_divide'( X, Y ) )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 387, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X )
% 0.68/1.04 ), T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.68/1.04 , clause( 385, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'(
% 0.68/1.04 multiply( Y, multiply( Z, X ) ), T ), multiply( T, Z ) ) ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.68/1.04 ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 5, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X ) )
% 0.68/1.04 , T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.68/1.04 , clause( 387, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X
% 0.68/1.04 ) ), T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.68/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.68/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 388, [ =( 'double_divide'( Z, X ), multiply( 'double_divide'(
% 0.68/1.04 multiply( X, multiply( Y, Z ) ), T ), multiply( T, Y ) ) ) ] )
% 0.68/1.04 , clause( 5, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X )
% 0.68/1.04 ), T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.68/1.04 ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 390, [ =( 'double_divide'( X, multiply( 'double_divide'( multiply(
% 0.68/1.04 Y, X ), Z ), Y ) ), Z ) ] )
% 0.68/1.04 , clause( 4, [ =( multiply( 'double_divide'( multiply( Z, X ),
% 0.68/1.04 'double_divide'( X, Y ) ), Z ), Y ) ] )
% 0.68/1.04 , 0, clause( 388, [ =( 'double_divide'( Z, X ), multiply( 'double_divide'(
% 0.68/1.04 multiply( X, multiply( Y, Z ) ), T ), multiply( T, Y ) ) ) ] )
% 0.68/1.04 , 0, 10, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, Z ), :=( Z,
% 0.68/1.04 multiply( 'double_divide'( multiply( Y, X ), Z ), Y ) )] ),
% 0.68/1.04 substitution( 1, [ :=( X, multiply( 'double_divide'( multiply( Y, X ), Z
% 0.68/1.04 ), Y ) ), :=( Y, Y ), :=( Z, X ), :=( T, 'double_divide'( multiply( Y, X
% 0.68/1.04 ), Z ) )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 10, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply( X
% 0.68/1.04 , Y ), Z ), X ) ), Z ) ] )
% 0.68/1.04 , clause( 390, [ =( 'double_divide'( X, multiply( 'double_divide'( multiply(
% 0.68/1.04 Y, X ), Z ), Y ) ), Z ) ] )
% 0.68/1.04 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.68/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 399, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.68/1.04 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.68/1.04 , clause( 10, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply(
% 0.68/1.04 X, Y ), Z ), X ) ), Z ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 404, [ =( X, 'double_divide'( multiply( Y, Z ), 'double_divide'( Z
% 0.68/1.04 , multiply( X, Y ) ) ) ) ] )
% 0.68/1.04 , clause( 5, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X )
% 0.68/1.04 ), T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.68/1.04 , 0, clause( 399, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.68/1.04 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.68/1.04 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, multiply( X, Y ) ), :=( Z, Y
% 0.68/1.04 ), :=( T, X )] ), substitution( 1, [ :=( X, multiply( Y, Z ) ), :=( Y,
% 0.68/1.04 multiply( X, Y ) ), :=( Z, X )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 406, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'( Z,
% 0.68/1.04 multiply( X, Y ) ) ), X ) ] )
% 0.68/1.04 , clause( 404, [ =( X, 'double_divide'( multiply( Y, Z ), 'double_divide'(
% 0.68/1.04 Z, multiply( X, Y ) ) ) ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 13, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'( Z,
% 0.68/1.04 multiply( X, Y ) ) ), X ) ] )
% 0.68/1.04 , clause( 406, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'( Z,
% 0.68/1.04 multiply( X, Y ) ) ), X ) ] )
% 0.68/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 409, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.68/1.04 )
% 0.68/1.04 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.68/1.04 )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 410, [ =( multiply( 'double_divide'( X, multiply( Y, Z ) ),
% 0.68/1.04 multiply( Z, X ) ), inverse( Y ) ) ] )
% 0.68/1.04 , clause( 13, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'( Z,
% 0.68/1.04 multiply( X, Y ) ) ), X ) ] )
% 0.68/1.04 , 0, clause( 409, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.68/1.04 ) ] )
% 0.68/1.04 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.68/1.04 substitution( 1, [ :=( X, multiply( Z, X ) ), :=( Y, 'double_divide'( X,
% 0.68/1.04 multiply( Y, Z ) ) )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 24, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ), multiply(
% 0.68/1.04 X, Y ) ), inverse( Z ) ) ] )
% 0.68/1.04 , clause( 410, [ =( multiply( 'double_divide'( X, multiply( Y, Z ) ),
% 0.68/1.04 multiply( Z, X ) ), inverse( Y ) ) ] )
% 0.68/1.04 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.68/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 413, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.68/1.04 multiply( Z, X ) ) ) ) ] )
% 0.68/1.04 , clause( 3, [ =( multiply( 'double_divide'( X, Z ), multiply( Z, multiply(
% 0.68/1.04 Y, X ) ) ), Y ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 418, [ =( X, multiply( 'double_divide'( Y, 'double_divide'( Y,
% 0.68/1.04 multiply( Z, X ) ) ), inverse( Z ) ) ) ] )
% 0.68/1.04 , clause( 24, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ),
% 0.68/1.04 multiply( X, Y ) ), inverse( Z ) ) ] )
% 0.68/1.04 , 0, clause( 413, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.68/1.04 multiply( Z, X ) ) ) ) ] )
% 0.68/1.04 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.04 substitution( 1, [ :=( X, Y ), :=( Y, 'double_divide'( Y, multiply( Z, X
% 0.68/1.04 ) ) ), :=( Z, X )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 420, [ =( multiply( 'double_divide'( Y, 'double_divide'( Y,
% 0.68/1.04 multiply( Z, X ) ) ), inverse( Z ) ), X ) ] )
% 0.68/1.04 , clause( 418, [ =( X, multiply( 'double_divide'( Y, 'double_divide'( Y,
% 0.68/1.04 multiply( Z, X ) ) ), inverse( Z ) ) ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 26, [ =( multiply( 'double_divide'( X, 'double_divide'( X, multiply(
% 0.68/1.04 Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.68/1.04 , clause( 420, [ =( multiply( 'double_divide'( Y, 'double_divide'( Y,
% 0.68/1.04 multiply( Z, X ) ) ), inverse( Z ) ), X ) ] )
% 0.68/1.04 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.68/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 423, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.68/1.04 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.68/1.04 , clause( 10, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply(
% 0.68/1.04 X, Y ), Z ), X ) ), Z ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 426, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply( X
% 0.68/1.04 , Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.68/1.04 , clause( 26, [ =( multiply( 'double_divide'( X, 'double_divide'( X,
% 0.68/1.04 multiply( Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.68/1.04 , 0, clause( 423, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.68/1.04 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.68/1.04 , 0, 11, substitution( 0, [ :=( X, multiply( inverse( X ), Y ) ), :=( Y, X
% 0.68/1.04 ), :=( Z, Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, inverse( X ) ),
% 0.68/1.04 :=( Z, 'double_divide'( multiply( inverse( X ), Y ), multiply( X, Z ) ) )] )
% 0.68/1.04 ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 28, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply( X
% 0.68/1.04 , Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.68/1.04 , clause( 426, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply(
% 0.68/1.04 X, Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.68/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 431, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.68/1.04 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.68/1.04 , clause( 10, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply(
% 0.68/1.04 X, Y ), Z ), X ) ), Z ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 434, [ =( multiply( X, Y ), 'double_divide'( Z, multiply(
% 0.68/1.04 'double_divide'( Z, Y ), inverse( X ) ) ) ) ] )
% 0.68/1.04 , clause( 28, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply(
% 0.68/1.04 X, Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.68/1.04 , 0, clause( 431, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.68/1.04 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.68/1.04 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.68/1.04 substitution( 1, [ :=( X, Z ), :=( Y, inverse( X ) ), :=( Z, multiply( X
% 0.68/1.04 , Y ) )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 435, [ =( 'double_divide'( Z, multiply( 'double_divide'( Z, Y ),
% 0.68/1.04 inverse( X ) ) ), multiply( X, Y ) ) ] )
% 0.68/1.04 , clause( 434, [ =( multiply( X, Y ), 'double_divide'( Z, multiply(
% 0.68/1.04 'double_divide'( Z, Y ), inverse( X ) ) ) ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 44, [ =( 'double_divide'( Y, multiply( 'double_divide'( Y, Z ),
% 0.68/1.04 inverse( X ) ) ), multiply( X, Z ) ) ] )
% 0.68/1.04 , clause( 435, [ =( 'double_divide'( Z, multiply( 'double_divide'( Z, Y ),
% 0.68/1.04 inverse( X ) ) ), multiply( X, Y ) ) ] )
% 0.68/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.68/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 437, [ =( multiply( Z, Y ), 'double_divide'( X, multiply(
% 0.68/1.04 'double_divide'( X, Y ), inverse( Z ) ) ) ) ] )
% 0.68/1.04 , clause( 44, [ =( 'double_divide'( Y, multiply( 'double_divide'( Y, Z ),
% 0.68/1.04 inverse( X ) ) ), multiply( X, Z ) ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 441, [ =( multiply( X, 'double_divide'( Y, multiply( X, Z ) ) ),
% 0.68/1.04 'double_divide'( Y, Z ) ) ] )
% 0.68/1.04 , clause( 26, [ =( multiply( 'double_divide'( X, 'double_divide'( X,
% 0.68/1.04 multiply( Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.68/1.04 , 0, clause( 437, [ =( multiply( Z, Y ), 'double_divide'( X, multiply(
% 0.68/1.04 'double_divide'( X, Y ), inverse( Z ) ) ) ) ] )
% 0.68/1.04 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.68/1.04 substitution( 1, [ :=( X, Y ), :=( Y, 'double_divide'( Y, multiply( X, Z
% 0.68/1.04 ) ) ), :=( Z, X )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 48, [ =( multiply( Y, 'double_divide'( X, multiply( Y, Z ) ) ),
% 0.68/1.04 'double_divide'( X, Z ) ) ] )
% 0.68/1.04 , clause( 441, [ =( multiply( X, 'double_divide'( Y, multiply( X, Z ) ) ),
% 0.68/1.04 'double_divide'( Y, Z ) ) ] )
% 0.68/1.04 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.68/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 445, [ =( 'double_divide'( Y, Z ), multiply( X, 'double_divide'( Y
% 0.68/1.04 , multiply( X, Z ) ) ) ) ] )
% 0.68/1.04 , clause( 48, [ =( multiply( Y, 'double_divide'( X, multiply( Y, Z ) ) ),
% 0.68/1.04 'double_divide'( X, Z ) ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 449, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'(
% 0.68/1.04 multiply( Y, X ), Z ), Z ) ) ] )
% 0.68/1.04 , clause( 10, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply(
% 0.68/1.04 X, Y ), Z ), X ) ), Z ) ] )
% 0.68/1.04 , 0, clause( 445, [ =( 'double_divide'( Y, Z ), multiply( X,
% 0.68/1.04 'double_divide'( Y, multiply( X, Z ) ) ) ) ] )
% 0.68/1.04 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.68/1.04 substitution( 1, [ :=( X, 'double_divide'( multiply( Y, X ), Z ) ), :=( Y
% 0.68/1.04 , X ), :=( Z, Y )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 451, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.68/1.04 'double_divide'( X, Y ) ) ] )
% 0.68/1.04 , clause( 449, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'(
% 0.68/1.04 multiply( Y, X ), Z ), Z ) ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 62, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.68/1.04 'double_divide'( X, Y ) ) ] )
% 0.68/1.04 , clause( 451, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.68/1.04 'double_divide'( X, Y ) ) ] )
% 0.68/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.04 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 453, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.68/1.04 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.68/1.04 , clause( 10, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply(
% 0.68/1.04 X, Y ), Z ), X ) ), Z ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 458, [ =( X, 'double_divide'( Y, 'double_divide'( Y, X ) ) ) ] )
% 0.68/1.04 , clause( 62, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.68/1.04 'double_divide'( X, Y ) ) ] )
% 0.68/1.04 , 0, clause( 453, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.68/1.04 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.68/1.04 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.68/1.04 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 460, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.68/1.04 , clause( 458, [ =( X, 'double_divide'( Y, 'double_divide'( Y, X ) ) ) ] )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 79, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.68/1.04 , clause( 460, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.68/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.04 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 463, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.68/1.04 )
% 0.68/1.04 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.68/1.04 )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 464, [ =( multiply( 'double_divide'( X, Y ), X ), inverse( Y ) ) ]
% 0.68/1.04 )
% 0.68/1.04 , clause( 79, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.68/1.04 , 0, clause( 463, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.68/1.04 ) ] )
% 0.68/1.04 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.68/1.04 :=( X, X ), :=( Y, 'double_divide'( X, Y ) )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 subsumption(
% 0.68/1.04 clause( 99, [ =( multiply( 'double_divide'( X, Y ), X ), inverse( Y ) ) ]
% 0.68/1.04 )
% 0.68/1.04 , clause( 464, [ =( multiply( 'double_divide'( X, Y ), X ), inverse( Y ) )
% 0.68/1.04 ] )
% 0.68/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.04 )] ) ).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 467, [ =( inverse( Y ), multiply( 'double_divide'( X, Y ), X ) ) ]
% 0.68/1.04 )
% 0.68/1.04 , clause( 99, [ =( multiply( 'double_divide'( X, Y ), X ), inverse( Y ) ) ]
% 0.68/1.04 )
% 0.68/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 471, [ =( inverse( 'double_divide'( X, multiply( Y, Z ) ) ),
% 0.68/1.04 multiply( Y, multiply( Z, X ) ) ) ] )
% 0.68/1.04 , clause( 13, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'( Z,
% 0.68/1.04 multiply( X, Y ) ) ), X ) ] )
% 0.68/1.04 , 0, clause( 467, [ =( inverse( Y ), multiply( 'double_divide'( X, Y ), X )
% 0.68/1.04 ) ] )
% 0.68/1.04 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.68/1.04 substitution( 1, [ :=( X, multiply( Z, X ) ), :=( Y, 'double_divide'( X,
% 0.68/1.04 multiply( Y, Z ) ) )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 paramod(
% 0.68/1.04 clause( 472, [ =( multiply( multiply( Y, Z ), X ), multiply( Y, multiply( Z
% 0.68/1.04 , X ) ) ) ] )
% 0.68/1.04 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.68/1.04 )
% 0.68/1.04 , 0, clause( 471, [ =( inverse( 'double_divide'( X, multiply( Y, Z ) ) ),
% 0.68/1.04 multiply( Y, multiply( Z, X ) ) ) ] )
% 0.68/1.04 , 0, 1, substitution( 0, [ :=( X, multiply( Y, Z ) ), :=( Y, X )] ),
% 0.68/1.04 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 eqswap(
% 0.68/1.04 clause( 473, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.68/1.04 ), Z ) ) ] )
% 0.68/1.04 , clause( 472, [ =( multiply( multiply( Y, Z ), X ), multiply( Y, multiply(
% 0.68/1.05 Z, X ) ) ) ] )
% 0.68/1.05 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.68/1.05
% 0.68/1.05
% 0.68/1.05 subsumption(
% 0.68/1.05 clause( 227, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( Z, X
% 0.68/1.05 ), Y ) ) ] )
% 0.68/1.05 , clause( 473, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.68/1.05 , Y ), Z ) ) ] )
% 0.68/1.05 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.68/1.05 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.05
% 0.68/1.05
% 0.68/1.05 eqswap(
% 0.68/1.05 clause( 474, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.68/1.05 , Z ) ) ) ] )
% 0.68/1.05 , clause( 227, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( Z
% 0.68/1.05 , X ), Y ) ) ] )
% 0.68/1.05 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.68/1.05
% 0.68/1.05
% 0.68/1.05 eqswap(
% 0.68/1.05 clause( 475, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.68/1.05 multiply( b3, c3 ) ) ) ) ] )
% 0.68/1.05 , clause( 2, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.68/1.05 a3, b3 ), c3 ) ) ) ] )
% 0.68/1.05 , 0, substitution( 0, [] )).
% 0.68/1.05
% 0.68/1.05
% 0.68/1.05 resolution(
% 0.68/1.05 clause( 476, [] )
% 0.68/1.05 , clause( 475, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.68/1.05 multiply( b3, c3 ) ) ) ) ] )
% 0.68/1.05 , 0, clause( 474, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.68/1.05 multiply( Y, Z ) ) ) ] )
% 0.68/1.05 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a3 ), :=( Y, b3 ),
% 0.68/1.05 :=( Z, c3 )] )).
% 0.68/1.05
% 0.68/1.05
% 0.68/1.05 subsumption(
% 0.68/1.05 clause( 347, [] )
% 0.68/1.05 , clause( 476, [] )
% 0.68/1.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.05
% 0.68/1.05
% 0.68/1.05 end.
% 0.68/1.05
% 0.68/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.05
% 0.68/1.05 Memory use:
% 0.68/1.05
% 0.68/1.05 space for terms: 4537
% 0.68/1.05 space for clauses: 39348
% 0.68/1.05
% 0.68/1.05
% 0.68/1.05 clauses generated: 3161
% 0.68/1.05 clauses kept: 348
% 0.68/1.05 clauses selected: 51
% 0.68/1.05 clauses deleted: 27
% 0.68/1.05 clauses inuse deleted: 0
% 0.68/1.05
% 0.68/1.05 subsentry: 1221
% 0.68/1.05 literals s-matched: 941
% 0.68/1.05 literals matched: 933
% 0.68/1.05 full subsumption: 0
% 0.68/1.05
% 0.68/1.05 checksum: 2138238693
% 0.68/1.05
% 0.68/1.05
% 0.68/1.05 Bliksem ended
%------------------------------------------------------------------------------