%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP612-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 0.71s 1.12s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP612-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n006.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 21:15:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.12 *** allocated 10000 integers for termspace/termends
% 0.71/1.12 *** allocated 10000 integers for clauses
% 0.71/1.12 *** allocated 10000 integers for justifications
% 0.71/1.12 Bliksem 1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Automatic Strategy Selection
% 0.71/1.12
% 0.71/1.12 Clauses:
% 0.71/1.12 [
% 0.71/1.12 [ =( inverse( 'double_divide'( inverse( 'double_divide'( inverse(
% 0.71/1.12 'double_divide'( X, Y ) ), Z ) ), 'double_divide'( X, Z ) ) ), Y ) ],
% 0.71/1.12 [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) ) ],
% 0.71/1.12 [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ]
% 0.71/1.12 ] .
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.12 This is a pure equality problem
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Options Used:
% 0.71/1.12
% 0.71/1.12 useres = 1
% 0.71/1.12 useparamod = 1
% 0.71/1.12 useeqrefl = 1
% 0.71/1.12 useeqfact = 1
% 0.71/1.12 usefactor = 1
% 0.71/1.12 usesimpsplitting = 0
% 0.71/1.12 usesimpdemod = 5
% 0.71/1.12 usesimpres = 3
% 0.71/1.12
% 0.71/1.12 resimpinuse = 1000
% 0.71/1.12 resimpclauses = 20000
% 0.71/1.12 substype = eqrewr
% 0.71/1.12 backwardsubs = 1
% 0.71/1.12 selectoldest = 5
% 0.71/1.12
% 0.71/1.12 litorderings [0] = split
% 0.71/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.12
% 0.71/1.12 termordering = kbo
% 0.71/1.12
% 0.71/1.12 litapriori = 0
% 0.71/1.12 termapriori = 1
% 0.71/1.12 litaposteriori = 0
% 0.71/1.12 termaposteriori = 0
% 0.71/1.12 demodaposteriori = 0
% 0.71/1.12 ordereqreflfact = 0
% 0.71/1.12
% 0.71/1.12 litselect = negord
% 0.71/1.12
% 0.71/1.12 maxweight = 15
% 0.71/1.12 maxdepth = 30000
% 0.71/1.12 maxlength = 115
% 0.71/1.12 maxnrvars = 195
% 0.71/1.12 excuselevel = 1
% 0.71/1.12 increasemaxweight = 1
% 0.71/1.12
% 0.71/1.12 maxselected = 10000000
% 0.71/1.12 maxnrclauses = 10000000
% 0.71/1.12
% 0.71/1.12 showgenerated = 0
% 0.71/1.12 showkept = 0
% 0.71/1.12 showselected = 0
% 0.71/1.12 showdeleted = 0
% 0.71/1.12 showresimp = 1
% 0.71/1.12 showstatus = 2000
% 0.71/1.12
% 0.71/1.12 prologoutput = 1
% 0.71/1.12 nrgoals = 5000000
% 0.71/1.12 totalproof = 1
% 0.71/1.12
% 0.71/1.12 Symbols occurring in the translation:
% 0.71/1.12
% 0.71/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.12 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.12 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.71/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 'double_divide' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.71/1.12 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.71/1.12 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.71/1.12 a [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.12 b [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Starting Search:
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Bliksems!, er is een bewijs:
% 0.71/1.12 % SZS status Unsatisfiable
% 0.71/1.12 % SZS output start Refutation
% 0.71/1.12
% 0.71/1.12 clause( 0, [ =( inverse( 'double_divide'( inverse( 'double_divide'( inverse(
% 0.71/1.12 'double_divide'( X, Y ) ), Z ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 2, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 3, [ =( multiply( 'double_divide'( X, Z ), multiply( Z, multiply( Y
% 0.71/1.12 , X ) ) ), Y ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 4, [ =( multiply( 'double_divide'( multiply( Z, X ),
% 0.71/1.12 'double_divide'( X, Y ) ), Z ), Y ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 5, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X ) )
% 0.71/1.12 , T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 10, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply( X
% 0.71/1.12 , Y ), Z ), X ) ), Z ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 13, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'( Z,
% 0.71/1.12 multiply( X, Y ) ) ), X ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 24, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ), multiply(
% 0.71/1.12 X, Y ) ), inverse( Z ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 26, [ =( multiply( 'double_divide'( X, 'double_divide'( X, multiply(
% 0.71/1.12 Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 28, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply( X
% 0.71/1.12 , Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 44, [ =( 'double_divide'( Y, multiply( 'double_divide'( Y, Z ),
% 0.71/1.12 inverse( X ) ) ), multiply( X, Z ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 48, [ =( multiply( Y, 'double_divide'( X, multiply( Y, Z ) ) ),
% 0.71/1.12 'double_divide'( X, Z ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 62, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.71/1.12 'double_divide'( X, Y ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 74, [ =( inverse( multiply( X, Y ) ), 'double_divide'( Y, X ) ) ]
% 0.71/1.12 )
% 0.71/1.12 .
% 0.71/1.12 clause( 79, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 94, [ =( multiply( multiply( Y, Z ), inverse( Y ) ), Z ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 100, [ =( multiply( Y, 'double_divide'( Y, X ) ), inverse( X ) ) ]
% 0.71/1.12 )
% 0.71/1.12 .
% 0.71/1.12 clause( 134, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.71/1.12 .
% 0.71/1.12 clause( 179, [] )
% 0.71/1.12 .
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 % SZS output end Refutation
% 0.71/1.12 found a proof!
% 0.71/1.12
% 0.71/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.12
% 0.71/1.12 initialclauses(
% 0.71/1.12 [ clause( 181, [ =( inverse( 'double_divide'( inverse( 'double_divide'(
% 0.71/1.12 inverse( 'double_divide'( X, Y ) ), Z ) ), 'double_divide'( X, Z ) ) ), Y
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 182, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) )
% 0.71/1.12 ] )
% 0.71/1.12 , clause( 183, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.71/1.12 ] ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 0, [ =( inverse( 'double_divide'( inverse( 'double_divide'( inverse(
% 0.71/1.12 'double_divide'( X, Y ) ), Z ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.71/1.12 , clause( 181, [ =( inverse( 'double_divide'( inverse( 'double_divide'(
% 0.71/1.12 inverse( 'double_divide'( X, Y ) ), Z ) ), 'double_divide'( X, Z ) ) ), Y
% 0.71/1.12 ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 186, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 182, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) )
% 0.71/1.12 ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.71/1.12 , clause( 186, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) )
% 0.71/1.12 ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 2, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.71/1.12 , clause( 183, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 196, [ =( inverse( 'double_divide'( inverse( 'double_divide'(
% 0.71/1.12 multiply( Y, X ), Z ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.71/1.12 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , 0, clause( 0, [ =( inverse( 'double_divide'( inverse( 'double_divide'(
% 0.71/1.12 inverse( 'double_divide'( X, Y ) ), Z ) ), 'double_divide'( X, Z ) ) ), Y
% 0.71/1.12 ) ] )
% 0.71/1.12 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.12 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 202, [ =( inverse( 'double_divide'( multiply( Z, multiply( X, Y ) )
% 0.71/1.12 , 'double_divide'( Y, Z ) ) ), X ) ] )
% 0.71/1.12 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , 0, clause( 196, [ =( inverse( 'double_divide'( inverse( 'double_divide'(
% 0.71/1.12 multiply( Y, X ), Z ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.71/1.12 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, multiply( X, Y ) )] ),
% 0.71/1.12 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 204, [ =( multiply( 'double_divide'( Z, X ), multiply( X, multiply(
% 0.71/1.12 Y, Z ) ) ), Y ) ] )
% 0.71/1.12 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , 0, clause( 202, [ =( inverse( 'double_divide'( multiply( Z, multiply( X,
% 0.71/1.12 Y ) ), 'double_divide'( Y, Z ) ) ), X ) ] )
% 0.71/1.12 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( Z, X ) ), :=( Y,
% 0.71/1.12 multiply( X, multiply( Y, Z ) ) )] ), substitution( 1, [ :=( X, Y ), :=(
% 0.71/1.12 Y, Z ), :=( Z, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 3, [ =( multiply( 'double_divide'( X, Z ), multiply( Z, multiply( Y
% 0.71/1.12 , X ) ) ), Y ) ] )
% 0.71/1.12 , clause( 204, [ =( multiply( 'double_divide'( Z, X ), multiply( X,
% 0.71/1.12 multiply( Y, Z ) ) ), Y ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 206, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.71/1.12 multiply( Z, X ) ) ) ) ] )
% 0.71/1.12 , clause( 3, [ =( multiply( 'double_divide'( X, Z ), multiply( Z, multiply(
% 0.71/1.12 Y, X ) ) ), Y ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 209, [ =( X, multiply( 'double_divide'( multiply( Y, Z ),
% 0.71/1.12 'double_divide'( Z, X ) ), Y ) ) ] )
% 0.71/1.12 , clause( 3, [ =( multiply( 'double_divide'( X, Z ), multiply( Z, multiply(
% 0.71/1.12 Y, X ) ) ), Y ) ] )
% 0.71/1.12 , 0, clause( 206, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.71/1.12 multiply( Z, X ) ) ) ) ] )
% 0.71/1.12 , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 0.71/1.12 substitution( 1, [ :=( X, multiply( Y, Z ) ), :=( Y, 'double_divide'( Z,
% 0.71/1.12 X ) ), :=( Z, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 211, [ =( multiply( 'double_divide'( multiply( Y, Z ),
% 0.71/1.12 'double_divide'( Z, X ) ), Y ), X ) ] )
% 0.71/1.12 , clause( 209, [ =( X, multiply( 'double_divide'( multiply( Y, Z ),
% 0.71/1.12 'double_divide'( Z, X ) ), Y ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 4, [ =( multiply( 'double_divide'( multiply( Z, X ),
% 0.71/1.12 'double_divide'( X, Y ) ), Z ), Y ) ] )
% 0.71/1.12 , clause( 211, [ =( multiply( 'double_divide'( multiply( Y, Z ),
% 0.71/1.12 'double_divide'( Z, X ) ), Y ), X ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 213, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.71/1.12 multiply( Z, X ) ) ) ) ] )
% 0.71/1.12 , clause( 3, [ =( multiply( 'double_divide'( X, Z ), multiply( Z, multiply(
% 0.71/1.12 Y, X ) ) ), Y ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 217, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'(
% 0.71/1.12 multiply( Y, multiply( Z, X ) ), T ), multiply( T, Z ) ) ) ] )
% 0.71/1.12 , clause( 3, [ =( multiply( 'double_divide'( X, Z ), multiply( Z, multiply(
% 0.71/1.12 Y, X ) ) ), Y ) ] )
% 0.71/1.12 , 0, clause( 213, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.71/1.12 multiply( Z, X ) ) ) ) ] )
% 0.71/1.12 , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.71/1.12 substitution( 1, [ :=( X, multiply( Y, multiply( Z, X ) ) ), :=( Y, T ),
% 0.71/1.12 :=( Z, 'double_divide'( X, Y ) )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 219, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X )
% 0.71/1.12 ), T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.71/1.12 , clause( 217, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'(
% 0.71/1.12 multiply( Y, multiply( Z, X ) ), T ), multiply( T, Z ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 5, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X ) )
% 0.71/1.12 , T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.71/1.12 , clause( 219, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X
% 0.71/1.12 ) ), T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 220, [ =( 'double_divide'( Z, X ), multiply( 'double_divide'(
% 0.71/1.12 multiply( X, multiply( Y, Z ) ), T ), multiply( T, Y ) ) ) ] )
% 0.71/1.12 , clause( 5, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X )
% 0.71/1.12 ), T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 222, [ =( 'double_divide'( X, multiply( 'double_divide'( multiply(
% 0.71/1.12 Y, X ), Z ), Y ) ), Z ) ] )
% 0.71/1.12 , clause( 4, [ =( multiply( 'double_divide'( multiply( Z, X ),
% 0.71/1.12 'double_divide'( X, Y ) ), Z ), Y ) ] )
% 0.71/1.12 , 0, clause( 220, [ =( 'double_divide'( Z, X ), multiply( 'double_divide'(
% 0.71/1.12 multiply( X, multiply( Y, Z ) ), T ), multiply( T, Y ) ) ) ] )
% 0.71/1.12 , 0, 10, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, Z ), :=( Z,
% 0.71/1.12 multiply( 'double_divide'( multiply( Y, X ), Z ), Y ) )] ),
% 0.71/1.12 substitution( 1, [ :=( X, multiply( 'double_divide'( multiply( Y, X ), Z
% 0.71/1.12 ), Y ) ), :=( Y, Y ), :=( Z, X ), :=( T, 'double_divide'( multiply( Y, X
% 0.71/1.12 ), Z ) )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 10, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply( X
% 0.71/1.12 , Y ), Z ), X ) ), Z ) ] )
% 0.71/1.12 , clause( 222, [ =( 'double_divide'( X, multiply( 'double_divide'( multiply(
% 0.71/1.12 Y, X ), Z ), Y ) ), Z ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 231, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.71/1.12 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.71/1.12 , clause( 10, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply(
% 0.71/1.12 X, Y ), Z ), X ) ), Z ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 236, [ =( X, 'double_divide'( multiply( Y, Z ), 'double_divide'( Z
% 0.71/1.12 , multiply( X, Y ) ) ) ) ] )
% 0.71/1.12 , clause( 5, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X )
% 0.71/1.12 ), T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.71/1.12 , 0, clause( 231, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.71/1.12 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.71/1.12 , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, multiply( X, Y ) ), :=( Z, Y
% 0.71/1.12 ), :=( T, X )] ), substitution( 1, [ :=( X, multiply( Y, Z ) ), :=( Y,
% 0.71/1.12 multiply( X, Y ) ), :=( Z, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 238, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'( Z,
% 0.71/1.12 multiply( X, Y ) ) ), X ) ] )
% 0.71/1.12 , clause( 236, [ =( X, 'double_divide'( multiply( Y, Z ), 'double_divide'(
% 0.71/1.12 Z, multiply( X, Y ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 13, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'( Z,
% 0.71/1.12 multiply( X, Y ) ) ), X ) ] )
% 0.71/1.12 , clause( 238, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'( Z,
% 0.71/1.12 multiply( X, Y ) ) ), X ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 241, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 242, [ =( multiply( 'double_divide'( X, multiply( Y, Z ) ),
% 0.71/1.12 multiply( Z, X ) ), inverse( Y ) ) ] )
% 0.71/1.12 , clause( 13, [ =( 'double_divide'( multiply( Y, Z ), 'double_divide'( Z,
% 0.71/1.12 multiply( X, Y ) ) ), X ) ] )
% 0.71/1.12 , 0, clause( 241, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.71/1.12 ) ] )
% 0.71/1.12 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.71/1.12 substitution( 1, [ :=( X, multiply( Z, X ) ), :=( Y, 'double_divide'( X,
% 0.71/1.12 multiply( Y, Z ) ) )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 24, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ), multiply(
% 0.71/1.12 X, Y ) ), inverse( Z ) ) ] )
% 0.71/1.12 , clause( 242, [ =( multiply( 'double_divide'( X, multiply( Y, Z ) ),
% 0.71/1.12 multiply( Z, X ) ), inverse( Y ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 245, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.71/1.12 multiply( Z, X ) ) ) ) ] )
% 0.71/1.12 , clause( 3, [ =( multiply( 'double_divide'( X, Z ), multiply( Z, multiply(
% 0.71/1.12 Y, X ) ) ), Y ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 250, [ =( X, multiply( 'double_divide'( Y, 'double_divide'( Y,
% 0.71/1.12 multiply( Z, X ) ) ), inverse( Z ) ) ) ] )
% 0.71/1.12 , clause( 24, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ),
% 0.71/1.12 multiply( X, Y ) ), inverse( Z ) ) ] )
% 0.71/1.12 , 0, clause( 245, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y,
% 0.71/1.12 multiply( Z, X ) ) ) ) ] )
% 0.71/1.12 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.12 substitution( 1, [ :=( X, Y ), :=( Y, 'double_divide'( Y, multiply( Z, X
% 0.71/1.12 ) ) ), :=( Z, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 252, [ =( multiply( 'double_divide'( Y, 'double_divide'( Y,
% 0.71/1.12 multiply( Z, X ) ) ), inverse( Z ) ), X ) ] )
% 0.71/1.12 , clause( 250, [ =( X, multiply( 'double_divide'( Y, 'double_divide'( Y,
% 0.71/1.12 multiply( Z, X ) ) ), inverse( Z ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 26, [ =( multiply( 'double_divide'( X, 'double_divide'( X, multiply(
% 0.71/1.12 Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.71/1.12 , clause( 252, [ =( multiply( 'double_divide'( Y, 'double_divide'( Y,
% 0.71/1.12 multiply( Z, X ) ) ), inverse( Z ) ), X ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 255, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.71/1.12 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.71/1.12 , clause( 10, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply(
% 0.71/1.12 X, Y ), Z ), X ) ), Z ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 258, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply( X
% 0.71/1.12 , Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.71/1.12 , clause( 26, [ =( multiply( 'double_divide'( X, 'double_divide'( X,
% 0.71/1.12 multiply( Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.71/1.12 , 0, clause( 255, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.71/1.12 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.71/1.12 , 0, 11, substitution( 0, [ :=( X, multiply( inverse( X ), Y ) ), :=( Y, X
% 0.71/1.12 ), :=( Z, Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, inverse( X ) ),
% 0.71/1.12 :=( Z, 'double_divide'( multiply( inverse( X ), Y ), multiply( X, Z ) ) )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 28, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply( X
% 0.71/1.12 , Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.71/1.12 , clause( 258, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply(
% 0.71/1.12 X, Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 263, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.71/1.12 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.71/1.12 , clause( 10, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply(
% 0.71/1.12 X, Y ), Z ), X ) ), Z ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 266, [ =( multiply( X, Y ), 'double_divide'( Z, multiply(
% 0.71/1.12 'double_divide'( Z, Y ), inverse( X ) ) ) ) ] )
% 0.71/1.12 , clause( 28, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply(
% 0.71/1.12 X, Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.71/1.12 , 0, clause( 263, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.71/1.12 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.71/1.12 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.71/1.12 substitution( 1, [ :=( X, Z ), :=( Y, inverse( X ) ), :=( Z, multiply( X
% 0.71/1.12 , Y ) )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 267, [ =( 'double_divide'( Z, multiply( 'double_divide'( Z, Y ),
% 0.71/1.12 inverse( X ) ) ), multiply( X, Y ) ) ] )
% 0.71/1.12 , clause( 266, [ =( multiply( X, Y ), 'double_divide'( Z, multiply(
% 0.71/1.12 'double_divide'( Z, Y ), inverse( X ) ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 44, [ =( 'double_divide'( Y, multiply( 'double_divide'( Y, Z ),
% 0.71/1.12 inverse( X ) ) ), multiply( X, Z ) ) ] )
% 0.71/1.12 , clause( 267, [ =( 'double_divide'( Z, multiply( 'double_divide'( Z, Y ),
% 0.71/1.12 inverse( X ) ) ), multiply( X, Y ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 269, [ =( multiply( Z, Y ), 'double_divide'( X, multiply(
% 0.71/1.12 'double_divide'( X, Y ), inverse( Z ) ) ) ) ] )
% 0.71/1.12 , clause( 44, [ =( 'double_divide'( Y, multiply( 'double_divide'( Y, Z ),
% 0.71/1.12 inverse( X ) ) ), multiply( X, Z ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 273, [ =( multiply( X, 'double_divide'( Y, multiply( X, Z ) ) ),
% 0.71/1.12 'double_divide'( Y, Z ) ) ] )
% 0.71/1.12 , clause( 26, [ =( multiply( 'double_divide'( X, 'double_divide'( X,
% 0.71/1.12 multiply( Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.71/1.12 , 0, clause( 269, [ =( multiply( Z, Y ), 'double_divide'( X, multiply(
% 0.71/1.12 'double_divide'( X, Y ), inverse( Z ) ) ) ) ] )
% 0.71/1.12 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.71/1.12 substitution( 1, [ :=( X, Y ), :=( Y, 'double_divide'( Y, multiply( X, Z
% 0.71/1.12 ) ) ), :=( Z, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 48, [ =( multiply( Y, 'double_divide'( X, multiply( Y, Z ) ) ),
% 0.71/1.12 'double_divide'( X, Z ) ) ] )
% 0.71/1.12 , clause( 273, [ =( multiply( X, 'double_divide'( Y, multiply( X, Z ) ) ),
% 0.71/1.12 'double_divide'( Y, Z ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 277, [ =( 'double_divide'( Y, Z ), multiply( X, 'double_divide'( Y
% 0.71/1.12 , multiply( X, Z ) ) ) ) ] )
% 0.71/1.12 , clause( 48, [ =( multiply( Y, 'double_divide'( X, multiply( Y, Z ) ) ),
% 0.71/1.12 'double_divide'( X, Z ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 281, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'(
% 0.71/1.12 multiply( Y, X ), Z ), Z ) ) ] )
% 0.71/1.12 , clause( 10, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply(
% 0.71/1.12 X, Y ), Z ), X ) ), Z ) ] )
% 0.71/1.12 , 0, clause( 277, [ =( 'double_divide'( Y, Z ), multiply( X,
% 0.71/1.12 'double_divide'( Y, multiply( X, Z ) ) ) ) ] )
% 0.71/1.12 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.71/1.12 substitution( 1, [ :=( X, 'double_divide'( multiply( Y, X ), Z ) ), :=( Y
% 0.71/1.12 , X ), :=( Z, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 283, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.71/1.12 'double_divide'( X, Y ) ) ] )
% 0.71/1.12 , clause( 281, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'(
% 0.71/1.12 multiply( Y, X ), Z ), Z ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 62, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.71/1.12 'double_divide'( X, Y ) ) ] )
% 0.71/1.12 , clause( 283, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.71/1.12 'double_divide'( X, Y ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 284, [ =( 'double_divide'( Y, X ), multiply( 'double_divide'(
% 0.71/1.12 multiply( X, Y ), Z ), Z ) ) ] )
% 0.71/1.12 , clause( 62, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.71/1.12 'double_divide'( X, Y ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 286, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 24, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ),
% 0.71/1.12 multiply( X, Y ) ), inverse( Z ) ) ] )
% 0.71/1.12 , 0, clause( 284, [ =( 'double_divide'( Y, X ), multiply( 'double_divide'(
% 0.71/1.12 multiply( X, Y ), Z ), Z ) ) ] )
% 0.71/1.12 , 0, 4, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, multiply( Y, X
% 0.71/1.12 ) ), :=( Z, multiply( Y, X ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.71/1.12 , X ), :=( Z, multiply( multiply( Y, X ), multiply( Y, X ) ) )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 288, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 286, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) )
% 0.71/1.12 ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 74, [ =( inverse( multiply( X, Y ) ), 'double_divide'( Y, X ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 288, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) )
% 0.71/1.12 ] )
% 0.71/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 291, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.71/1.12 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.71/1.12 , clause( 10, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply(
% 0.71/1.12 X, Y ), Z ), X ) ), Z ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 296, [ =( X, 'double_divide'( Y, 'double_divide'( Y, X ) ) ) ] )
% 0.71/1.12 , clause( 62, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ),
% 0.71/1.12 'double_divide'( X, Y ) ) ] )
% 0.71/1.12 , 0, clause( 291, [ =( Z, 'double_divide'( X, multiply( 'double_divide'(
% 0.71/1.12 multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.71/1.12 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ),
% 0.71/1.12 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 298, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.71/1.12 , clause( 296, [ =( X, 'double_divide'( Y, 'double_divide'( Y, X ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 79, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.71/1.12 , clause( 298, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 301, [ =( Z, multiply( 'double_divide'( X, 'double_divide'( X,
% 0.71/1.12 multiply( Y, Z ) ) ), inverse( Y ) ) ) ] )
% 0.71/1.12 , clause( 26, [ =( multiply( 'double_divide'( X, 'double_divide'( X,
% 0.71/1.12 multiply( Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 302, [ =( X, multiply( multiply( Z, X ), inverse( Z ) ) ) ] )
% 0.71/1.12 , clause( 79, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.71/1.12 , 0, clause( 301, [ =( Z, multiply( 'double_divide'( X, 'double_divide'( X
% 0.71/1.12 , multiply( Y, Z ) ) ), inverse( Y ) ) ) ] )
% 0.71/1.12 , 0, 3, substitution( 0, [ :=( X, multiply( Z, X ) ), :=( Y, Y )] ),
% 0.71/1.12 substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 303, [ =( multiply( multiply( Y, X ), inverse( Y ) ), X ) ] )
% 0.71/1.12 , clause( 302, [ =( X, multiply( multiply( Z, X ), inverse( Z ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 94, [ =( multiply( multiply( Y, Z ), inverse( Y ) ), Z ) ] )
% 0.71/1.12 , clause( 303, [ =( multiply( multiply( Y, X ), inverse( Y ) ), X ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 304, [ =( Y, multiply( multiply( X, Y ), inverse( X ) ) ) ] )
% 0.71/1.12 , clause( 94, [ =( multiply( multiply( Y, Z ), inverse( Y ) ), Z ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 308, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y ) ) )
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 94, [ =( multiply( multiply( Y, Z ), inverse( Y ) ), Z ) ] )
% 0.71/1.12 , 0, clause( 304, [ =( Y, multiply( multiply( X, Y ), inverse( X ) ) ) ] )
% 0.71/1.12 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.71/1.12 substitution( 1, [ :=( X, multiply( X, Y ) ), :=( Y, inverse( X ) )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 309, [ =( inverse( X ), multiply( Y, 'double_divide'( Y, X ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 74, [ =( inverse( multiply( X, Y ) ), 'double_divide'( Y, X ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , 0, clause( 308, [ =( inverse( X ), multiply( Y, inverse( multiply( X, Y )
% 0.71/1.12 ) ) ) ] )
% 0.71/1.12 , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.71/1.12 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 310, [ =( multiply( Y, 'double_divide'( Y, X ) ), inverse( X ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 309, [ =( inverse( X ), multiply( Y, 'double_divide'( Y, X ) ) )
% 0.71/1.12 ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 100, [ =( multiply( Y, 'double_divide'( Y, X ) ), inverse( X ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 310, [ =( multiply( Y, 'double_divide'( Y, X ) ), inverse( X ) )
% 0.71/1.12 ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 312, [ =( inverse( Y ), multiply( X, 'double_divide'( X, Y ) ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 100, [ =( multiply( Y, 'double_divide'( Y, X ) ), inverse( X ) )
% 0.71/1.12 ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 314, [ =( inverse( 'double_divide'( X, Y ) ), multiply( X, Y ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 79, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.71/1.12 , 0, clause( 312, [ =( inverse( Y ), multiply( X, 'double_divide'( X, Y ) )
% 0.71/1.12 ) ] )
% 0.71/1.12 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.12 :=( X, X ), :=( Y, 'double_divide'( X, Y ) )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 315, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.71/1.12 , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , 0, clause( 314, [ =( inverse( 'double_divide'( X, Y ) ), multiply( X, Y )
% 0.71/1.12 ) ] )
% 0.71/1.12 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.12 :=( X, X ), :=( Y, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 134, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.71/1.12 , clause( 315, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 316, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.71/1.12 , clause( 2, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 318, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.71/1.12 , clause( 134, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.71/1.12 , 0, clause( 316, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.71/1.12 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqrefl(
% 0.71/1.12 clause( 321, [] )
% 0.71/1.12 , clause( 318, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 179, [] )
% 0.71/1.12 , clause( 321, [] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 end.
% 0.71/1.12
% 0.71/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.12
% 0.71/1.12 Memory use:
% 0.71/1.12
% 0.71/1.12 space for terms: 2365
% 0.71/1.12 space for clauses: 22255
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 clauses generated: 642
% 0.71/1.12 clauses kept: 180
% 0.71/1.12 clauses selected: 22
% 0.71/1.12 clauses deleted: 1
% 0.71/1.12 clauses inuse deleted: 0
% 0.71/1.12
% 0.71/1.12 subsentry: 455
% 0.71/1.12 literals s-matched: 135
% 0.71/1.12 literals matched: 126
% 0.71/1.12 full subsumption: 0
% 0.71/1.12
% 0.71/1.12 checksum: -2033956696
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Bliksem ended
%------------------------------------------------------------------------------