TSTP Solution File: GRP489-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP489-1 : 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 07:37:17 EDT 2022
% Result : Unsatisfiable 0.44s 1.07s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP489-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jun 14 10:27:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.07 *** allocated 10000 integers for termspace/termends
% 0.44/1.07 *** allocated 10000 integers for clauses
% 0.44/1.07 *** allocated 10000 integers for justifications
% 0.44/1.07 Bliksem 1.12
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Automatic Strategy Selection
% 0.44/1.07
% 0.44/1.07 Clauses:
% 0.44/1.07 [
% 0.44/1.07 [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.44/1.07 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.44/1.07 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ],
% 0.44/1.07 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.44/1.07 identity ) ) ],
% 0.44/1.07 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.44/1.07 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.44/1.07 [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3,
% 0.44/1.07 c3 ) ) ) ) ]
% 0.44/1.07 ] .
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 percentage equality = 1.000000, percentage horn = 1.000000
% 0.44/1.07 This is a pure equality problem
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Options Used:
% 0.44/1.07
% 0.44/1.07 useres = 1
% 0.44/1.07 useparamod = 1
% 0.44/1.07 useeqrefl = 1
% 0.44/1.07 useeqfact = 1
% 0.44/1.07 usefactor = 1
% 0.44/1.07 usesimpsplitting = 0
% 0.44/1.07 usesimpdemod = 5
% 0.44/1.07 usesimpres = 3
% 0.44/1.07
% 0.44/1.07 resimpinuse = 1000
% 0.44/1.07 resimpclauses = 20000
% 0.44/1.07 substype = eqrewr
% 0.44/1.07 backwardsubs = 1
% 0.44/1.07 selectoldest = 5
% 0.44/1.07
% 0.44/1.07 litorderings [0] = split
% 0.44/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.07
% 0.44/1.07 termordering = kbo
% 0.44/1.07
% 0.44/1.07 litapriori = 0
% 0.44/1.07 termapriori = 1
% 0.44/1.07 litaposteriori = 0
% 0.44/1.07 termaposteriori = 0
% 0.44/1.07 demodaposteriori = 0
% 0.44/1.07 ordereqreflfact = 0
% 0.44/1.07
% 0.44/1.07 litselect = negord
% 0.44/1.07
% 0.44/1.07 maxweight = 15
% 0.44/1.07 maxdepth = 30000
% 0.44/1.07 maxlength = 115
% 0.44/1.07 maxnrvars = 195
% 0.44/1.07 excuselevel = 1
% 0.44/1.07 increasemaxweight = 1
% 0.44/1.07
% 0.44/1.07 maxselected = 10000000
% 0.44/1.07 maxnrclauses = 10000000
% 0.44/1.07
% 0.44/1.07 showgenerated = 0
% 0.44/1.07 showkept = 0
% 0.44/1.07 showselected = 0
% 0.44/1.07 showdeleted = 0
% 0.44/1.07 showresimp = 1
% 0.44/1.07 showstatus = 2000
% 0.44/1.07
% 0.44/1.07 prologoutput = 1
% 0.44/1.07 nrgoals = 5000000
% 0.44/1.07 totalproof = 1
% 0.44/1.07
% 0.44/1.07 Symbols occurring in the translation:
% 0.44/1.07
% 0.44/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.07 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.44/1.07 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.44/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 identity [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.44/1.07 'double_divide' [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.44/1.07 multiply [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.44/1.07 inverse [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.44/1.07 a3 [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.44/1.07 b3 [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.44/1.07 c3 [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Starting Search:
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Bliksems!, er is een bewijs:
% 0.44/1.07 % SZS status Unsatisfiable
% 0.44/1.07 % SZS output start Refutation
% 0.44/1.07
% 0.44/1.07 clause( 0, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.44/1.07 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.44/1.07 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.44/1.07 multiply( X, Y ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.44/1.07 a3, b3 ), c3 ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 9, [ =( multiply( multiply( Y, X ), 'double_divide'( X, Y ) ),
% 0.44/1.07 inverse( identity ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 10, [ =( 'double_divide'( X, multiply( Y, 'double_divide'( identity
% 0.44/1.07 , 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) ), Z ) ]
% 0.44/1.07 )
% 0.44/1.07 .
% 0.44/1.07 clause( 12, [ =( 'double_divide'( X, inverse( multiply( 'double_divide'(
% 0.44/1.07 inverse( X ), 'double_divide'( identity, Y ) ), identity ) ) ), Y ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 14, [ =( 'double_divide'( Y, multiply( X, 'double_divide'( identity
% 0.44/1.07 , inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 17, [ =( inverse( multiply( inverse( inverse( X ) ), identity ) ),
% 0.44/1.07 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 19, [ =( 'double_divide'( X, 'double_divide'( X, inverse( identity
% 0.44/1.07 ) ) ), inverse( identity ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 22, [ =( 'double_divide'( X, multiply( inverse( X ), identity ) ),
% 0.44/1.07 inverse( identity ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 28, [ =( inverse( identity ), identity ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 29, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.44/1.07 identity ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 31, [ =( 'double_divide'( identity, multiply( X, identity ) ),
% 0.44/1.07 inverse( X ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 36, [ =( multiply( multiply( X, identity ), identity ), inverse(
% 0.44/1.07 inverse( X ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 37, [ =( inverse( inverse( inverse( inverse( inverse( X ) ) ) ) ),
% 0.44/1.07 inverse( X ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 40, [ =( 'double_divide'( identity, inverse( inverse( X ) ) ),
% 0.44/1.07 inverse( multiply( X, identity ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 51, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.44/1.07 inverse( X ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 52, [ =( inverse( multiply( X, identity ) ), inverse( inverse(
% 0.44/1.07 inverse( X ) ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 54, [ =( multiply( X, identity ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 57, [ =( inverse( inverse( inverse( X ) ) ), inverse( X ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 60, [ =( inverse( inverse( X ) ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 61, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 67, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.44/1.07 )
% 0.44/1.07 .
% 0.44/1.07 clause( 69, [ =( 'double_divide'( 'double_divide'( X, Y ), X ), Y ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 73, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 75, [ =( multiply( Y, inverse( X ) ), 'double_divide'( inverse( Y )
% 0.44/1.07 , X ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 80, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 0.44/1.07 )
% 0.44/1.07 .
% 0.44/1.07 clause( 84, [ =( multiply( 'double_divide'( Y, X ), X ), inverse( Y ) ) ]
% 0.44/1.07 )
% 0.44/1.07 .
% 0.44/1.07 clause( 87, [ =( 'double_divide'( 'double_divide'( multiply( Z, Y ), X ), Y
% 0.44/1.07 ), multiply( X, Z ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 107, [ =( multiply( Z, multiply( X, Y ) ), multiply( multiply( Z, X
% 0.44/1.07 ), Y ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 113, [] )
% 0.44/1.07 .
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 % SZS output end Refutation
% 0.44/1.07 found a proof!
% 0.44/1.07
% 0.44/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.07
% 0.44/1.07 initialclauses(
% 0.44/1.07 [ clause( 115, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.44/1.07 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.44/1.07 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ] )
% 0.44/1.07 , clause( 116, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.44/1.07 X ), identity ) ) ] )
% 0.44/1.07 , clause( 117, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.44/1.07 , clause( 118, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.44/1.07 , clause( 119, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.44/1.07 multiply( b3, c3 ) ) ) ) ] )
% 0.44/1.07 ] ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 0, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.44/1.07 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.44/1.07 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ] )
% 0.44/1.07 , clause( 115, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.44/1.07 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.44/1.07 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 eqswap(
% 0.44/1.07 clause( 122, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.44/1.07 multiply( X, Y ) ) ] )
% 0.44/1.07 , clause( 116, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y,
% 0.44/1.07 X ), identity ) ) ] )
% 0.44/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.44/1.07 multiply( X, Y ) ) ] )
% 0.44/1.07 , clause( 122, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.44/1.07 multiply( X, Y ) ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.07 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 eqswap(
% 0.44/1.07 clause( 125, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.44/1.07 , clause( 117, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.44/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.44/1.07 , clause( 125, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 eqswap(
% 0.44/1.07 clause( 129, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.44/1.07 , clause( 118, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.44/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.44/1.08 , clause( 129, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 134, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.44/1.08 a3, b3 ), c3 ) ) ) ] )
% 0.44/1.08 , clause( 119, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3,
% 0.44/1.08 multiply( b3, c3 ) ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply(
% 0.44/1.08 a3, b3 ), c3 ) ) ) ] )
% 0.44/1.08 , clause( 134, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply(
% 0.44/1.08 multiply( a3, b3 ), c3 ) ) ) ] )
% 0.44/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 137, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.44/1.08 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.44/1.08 multiply( X, Y ) ) ] )
% 0.44/1.08 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.44/1.08 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.44/1.08 , clause( 137, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) )
% 0.44/1.08 ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 140, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 143, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.44/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.44/1.08 , 0, clause( 140, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.44/1.08 ) ] )
% 0.44/1.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.44/1.08 :=( Y, inverse( X ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.44/1.08 , clause( 143, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 146, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 149, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.44/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.44/1.08 , 0, clause( 146, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.44/1.08 ) ] )
% 0.44/1.08 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.44/1.08 :=( Y, identity )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.44/1.08 , clause( 149, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 152, [ =( inverse( identity ), multiply( inverse( X ), X ) ) ] )
% 0.44/1.08 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 155, [ =( inverse( identity ), multiply( multiply( Y, X ),
% 0.44/1.08 'double_divide'( X, Y ) ) ) ] )
% 0.44/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , 0, clause( 152, [ =( inverse( identity ), multiply( inverse( X ), X ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.44/1.08 :=( X, 'double_divide'( X, Y ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 156, [ =( multiply( multiply( X, Y ), 'double_divide'( Y, X ) ),
% 0.44/1.08 inverse( identity ) ) ] )
% 0.44/1.08 , clause( 155, [ =( inverse( identity ), multiply( multiply( Y, X ),
% 0.44/1.08 'double_divide'( X, Y ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 9, [ =( multiply( multiply( Y, X ), 'double_divide'( X, Y ) ),
% 0.44/1.08 inverse( identity ) ) ] )
% 0.44/1.08 , clause( 156, [ =( multiply( multiply( X, Y ), 'double_divide'( Y, X ) ),
% 0.44/1.08 inverse( identity ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 161, [ =( 'double_divide'( X, inverse( 'double_divide'(
% 0.44/1.08 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.44/1.08 ), 'double_divide'( Y, Z ) ) ), Y ) ) ), Z ) ] )
% 0.44/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.44/1.08 , 0, clause( 0, [ =( 'double_divide'( X, 'double_divide'( 'double_divide'(
% 0.44/1.08 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.44/1.08 ), 'double_divide'( Y, Z ) ) ), Y ), identity ) ), Z ) ] )
% 0.44/1.08 , 0, 3, substitution( 0, [ :=( X, 'double_divide'( 'double_divide'(
% 0.44/1.08 identity, 'double_divide'( 'double_divide'( X, identity ),
% 0.44/1.08 'double_divide'( Y, Z ) ) ), Y ) )] ), substitution( 1, [ :=( X, X ),
% 0.44/1.08 :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 165, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.44/1.08 identity, 'double_divide'( 'double_divide'( X, identity ),
% 0.44/1.08 'double_divide'( Y, Z ) ) ) ) ), Z ) ] )
% 0.44/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , 0, clause( 161, [ =( 'double_divide'( X, inverse( 'double_divide'(
% 0.44/1.08 'double_divide'( identity, 'double_divide'( 'double_divide'( X, identity
% 0.44/1.08 ), 'double_divide'( Y, Z ) ) ), Y ) ) ), Z ) ] )
% 0.44/1.08 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, 'double_divide'( identity,
% 0.44/1.08 'double_divide'( 'double_divide'( X, identity ), 'double_divide'( Y, Z )
% 0.44/1.08 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 166, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.44/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.44/1.08 , Z ) ] )
% 0.44/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.44/1.08 , 0, clause( 165, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.44/1.08 identity, 'double_divide'( 'double_divide'( X, identity ),
% 0.44/1.08 'double_divide'( Y, Z ) ) ) ) ), Z ) ] )
% 0.44/1.08 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.44/1.08 :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 10, [ =( 'double_divide'( X, multiply( Y, 'double_divide'( identity
% 0.44/1.08 , 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) ), Z ) ]
% 0.44/1.08 )
% 0.44/1.08 , clause( 166, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.44/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.44/1.08 , Z ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 169, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.44/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.44/1.08 ) ] )
% 0.44/1.08 , clause( 10, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.44/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.44/1.08 , Z ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 171, [ =( X, 'double_divide'( Y, inverse( inverse( 'double_divide'(
% 0.44/1.08 identity, 'double_divide'( inverse( Y ), 'double_divide'( identity, X ) )
% 0.44/1.08 ) ) ) ) ) ] )
% 0.44/1.08 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.44/1.08 , 0, clause( 169, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.44/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.44/1.08 ) ] )
% 0.44/1.08 , 0, 4, substitution( 0, [ :=( X, 'double_divide'( identity,
% 0.44/1.08 'double_divide'( inverse( Y ), 'double_divide'( identity, X ) ) ) )] ),
% 0.44/1.08 substitution( 1, [ :=( X, Y ), :=( Y, identity ), :=( Z, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 172, [ =( X, 'double_divide'( Y, inverse( multiply( 'double_divide'(
% 0.44/1.08 inverse( Y ), 'double_divide'( identity, X ) ), identity ) ) ) ) ] )
% 0.44/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , 0, clause( 171, [ =( X, 'double_divide'( Y, inverse( inverse(
% 0.44/1.08 'double_divide'( identity, 'double_divide'( inverse( Y ), 'double_divide'(
% 0.44/1.08 identity, X ) ) ) ) ) ) ) ] )
% 0.44/1.08 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( inverse( Y ),
% 0.44/1.08 'double_divide'( identity, X ) ) ), :=( Y, identity )] ), substitution( 1
% 0.44/1.08 , [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 173, [ =( 'double_divide'( Y, inverse( multiply( 'double_divide'(
% 0.44/1.08 inverse( Y ), 'double_divide'( identity, X ) ), identity ) ) ), X ) ] )
% 0.44/1.08 , clause( 172, [ =( X, 'double_divide'( Y, inverse( multiply(
% 0.44/1.08 'double_divide'( inverse( Y ), 'double_divide'( identity, X ) ), identity
% 0.44/1.08 ) ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 12, [ =( 'double_divide'( X, inverse( multiply( 'double_divide'(
% 0.44/1.08 inverse( X ), 'double_divide'( identity, Y ) ), identity ) ) ), Y ) ] )
% 0.44/1.08 , clause( 173, [ =( 'double_divide'( Y, inverse( multiply( 'double_divide'(
% 0.44/1.08 inverse( Y ), 'double_divide'( identity, X ) ), identity ) ) ), X ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 175, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.44/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.44/1.08 ) ] )
% 0.44/1.08 , clause( 10, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.44/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.44/1.08 , Z ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 177, [ =( inverse( X ), 'double_divide'( Y, multiply( X,
% 0.44/1.08 'double_divide'( identity, 'double_divide'( inverse( Y ), identity ) ) )
% 0.44/1.08 ) ) ] )
% 0.44/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.44/1.08 , 0, clause( 175, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.44/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.44/1.08 ) ] )
% 0.44/1.08 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.44/1.08 :=( Y, X ), :=( Z, inverse( X ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 178, [ =( inverse( X ), 'double_divide'( Y, multiply( X,
% 0.44/1.08 'double_divide'( identity, inverse( inverse( Y ) ) ) ) ) ) ] )
% 0.44/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.44/1.08 , 0, clause( 177, [ =( inverse( X ), 'double_divide'( Y, multiply( X,
% 0.44/1.08 'double_divide'( identity, 'double_divide'( inverse( Y ), identity ) ) )
% 0.44/1.08 ) ) ] )
% 0.44/1.08 , 0, 9, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 179, [ =( 'double_divide'( Y, multiply( X, 'double_divide'(
% 0.44/1.08 identity, inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.44/1.08 , clause( 178, [ =( inverse( X ), 'double_divide'( Y, multiply( X,
% 0.44/1.08 'double_divide'( identity, inverse( inverse( Y ) ) ) ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 14, [ =( 'double_divide'( Y, multiply( X, 'double_divide'( identity
% 0.44/1.08 , inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.44/1.08 , clause( 179, [ =( 'double_divide'( Y, multiply( X, 'double_divide'(
% 0.44/1.08 identity, inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 181, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.44/1.08 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.44/1.08 , clause( 14, [ =( 'double_divide'( Y, multiply( X, 'double_divide'(
% 0.44/1.08 identity, inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 184, [ =( inverse( multiply( inverse( inverse( X ) ), identity ) )
% 0.44/1.08 , 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.44/1.08 , clause( 9, [ =( multiply( multiply( Y, X ), 'double_divide'( X, Y ) ),
% 0.44/1.08 inverse( identity ) ) ] )
% 0.44/1.08 , 0, clause( 181, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.44/1.08 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.44/1.08 , 0, 9, substitution( 0, [ :=( X, identity ), :=( Y, inverse( inverse( X )
% 0.44/1.08 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, multiply( inverse( inverse(
% 0.44/1.08 X ) ), identity ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 17, [ =( inverse( multiply( inverse( inverse( X ) ), identity ) ),
% 0.44/1.08 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.44/1.08 , clause( 184, [ =( inverse( multiply( inverse( inverse( X ) ), identity )
% 0.44/1.08 ), 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 187, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.44/1.08 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.44/1.08 , clause( 14, [ =( 'double_divide'( Y, multiply( X, 'double_divide'(
% 0.44/1.08 identity, inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 190, [ =( inverse( identity ), 'double_divide'( X, inverse( inverse(
% 0.44/1.08 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ) ] )
% 0.44/1.08 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.44/1.08 , 0, clause( 187, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.44/1.08 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.44/1.08 , 0, 5, substitution( 0, [ :=( X, 'double_divide'( identity, inverse(
% 0.44/1.08 inverse( X ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, identity )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 191, [ =( inverse( identity ), 'double_divide'( X, inverse(
% 0.44/1.08 multiply( inverse( inverse( X ) ), identity ) ) ) ) ] )
% 0.44/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , 0, clause( 190, [ =( inverse( identity ), 'double_divide'( X, inverse(
% 0.44/1.08 inverse( 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , 0, 6, substitution( 0, [ :=( X, inverse( inverse( X ) ) ), :=( Y,
% 0.44/1.08 identity )] ), substitution( 1, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 192, [ =( inverse( identity ), 'double_divide'( X, 'double_divide'(
% 0.44/1.08 X, inverse( identity ) ) ) ) ] )
% 0.44/1.08 , clause( 17, [ =( inverse( multiply( inverse( inverse( X ) ), identity ) )
% 0.44/1.08 , 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.44/1.08 , 0, clause( 191, [ =( inverse( identity ), 'double_divide'( X, inverse(
% 0.44/1.08 multiply( inverse( inverse( X ) ), identity ) ) ) ) ] )
% 0.44/1.08 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 193, [ =( 'double_divide'( X, 'double_divide'( X, inverse( identity
% 0.44/1.08 ) ) ), inverse( identity ) ) ] )
% 0.44/1.08 , clause( 192, [ =( inverse( identity ), 'double_divide'( X,
% 0.44/1.08 'double_divide'( X, inverse( identity ) ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 19, [ =( 'double_divide'( X, 'double_divide'( X, inverse( identity
% 0.44/1.08 ) ) ), inverse( identity ) ) ] )
% 0.44/1.08 , clause( 193, [ =( 'double_divide'( X, 'double_divide'( X, inverse(
% 0.44/1.08 identity ) ) ), inverse( identity ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 195, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.44/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.44/1.08 ) ] )
% 0.44/1.08 , clause( 10, [ =( 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.44/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.44/1.08 , Z ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 197, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.44/1.08 inverse( X ), 'double_divide'( identity, inverse( identity ) ) ) ) ) ] )
% 0.44/1.08 , clause( 19, [ =( 'double_divide'( X, 'double_divide'( X, inverse(
% 0.44/1.08 identity ) ) ), inverse( identity ) ) ] )
% 0.44/1.08 , 0, clause( 195, [ =( Z, 'double_divide'( X, multiply( Y, 'double_divide'(
% 0.44/1.08 identity, 'double_divide'( inverse( X ), 'double_divide'( Y, Z ) ) ) ) )
% 0.44/1.08 ) ] )
% 0.44/1.08 , 0, 10, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.44/1.08 :=( X, X ), :=( Y, inverse( X ) ), :=( Z, inverse( identity ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 199, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.44/1.08 inverse( X ), identity ) ) ) ] )
% 0.44/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.44/1.08 , 0, clause( 197, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.44/1.08 inverse( X ), 'double_divide'( identity, inverse( identity ) ) ) ) ) ] )
% 0.44/1.08 , 0, 8, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.44/1.08 X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 200, [ =( 'double_divide'( X, multiply( inverse( X ), identity ) )
% 0.44/1.08 , inverse( identity ) ) ] )
% 0.44/1.08 , clause( 199, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.44/1.08 inverse( X ), identity ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 22, [ =( 'double_divide'( X, multiply( inverse( X ), identity ) ),
% 0.44/1.08 inverse( identity ) ) ] )
% 0.44/1.08 , clause( 200, [ =( 'double_divide'( X, multiply( inverse( X ), identity )
% 0.44/1.08 ), inverse( identity ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 202, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.44/1.08 inverse( X ), identity ) ) ) ] )
% 0.44/1.08 , clause( 22, [ =( 'double_divide'( X, multiply( inverse( X ), identity ) )
% 0.44/1.08 , inverse( identity ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 204, [ =( inverse( identity ), 'double_divide'( identity, inverse(
% 0.44/1.08 identity ) ) ) ] )
% 0.44/1.08 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.44/1.08 , 0, clause( 202, [ =( inverse( identity ), 'double_divide'( X, multiply(
% 0.44/1.08 inverse( X ), identity ) ) ) ] )
% 0.44/1.08 , 0, 5, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.44/1.08 identity )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 205, [ =( inverse( identity ), identity ) ] )
% 0.44/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.44/1.08 , 0, clause( 204, [ =( inverse( identity ), 'double_divide'( identity,
% 0.44/1.08 inverse( identity ) ) ) ] )
% 0.44/1.08 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 28, [ =( inverse( identity ), identity ) ] )
% 0.44/1.08 , clause( 205, [ =( inverse( identity ), identity ) ] )
% 0.44/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 208, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 213, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.44/1.08 inverse( inverse( identity ) ) ) ] )
% 0.44/1.08 , clause( 22, [ =( 'double_divide'( X, multiply( inverse( X ), identity ) )
% 0.44/1.08 , inverse( identity ) ) ] )
% 0.44/1.08 , 0, clause( 208, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.44/1.08 ) ] )
% 0.44/1.08 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.44/1.08 :=( Y, multiply( inverse( X ), identity ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 214, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.44/1.08 inverse( identity ) ) ] )
% 0.44/1.08 , clause( 28, [ =( inverse( identity ), identity ) ] )
% 0.44/1.08 , 0, clause( 213, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.44/1.08 inverse( inverse( identity ) ) ) ] )
% 0.44/1.08 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 216, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.44/1.08 identity ) ] )
% 0.44/1.08 , clause( 28, [ =( inverse( identity ), identity ) ] )
% 0.44/1.08 , 0, clause( 214, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.44/1.08 inverse( identity ) ) ] )
% 0.44/1.08 , 0, 7, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 29, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.44/1.08 identity ) ] )
% 0.44/1.08 , clause( 216, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.44/1.08 identity ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 219, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.44/1.08 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.44/1.08 , clause( 14, [ =( 'double_divide'( Y, multiply( X, 'double_divide'(
% 0.44/1.08 identity, inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 222, [ =( inverse( X ), 'double_divide'( identity, multiply( X,
% 0.44/1.08 'double_divide'( identity, inverse( identity ) ) ) ) ) ] )
% 0.44/1.08 , clause( 28, [ =( inverse( identity ), identity ) ] )
% 0.44/1.08 , 0, clause( 219, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.44/1.08 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.44/1.08 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.44/1.08 , X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 224, [ =( inverse( X ), 'double_divide'( identity, multiply( X,
% 0.44/1.08 identity ) ) ) ] )
% 0.44/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.44/1.08 , 0, clause( 222, [ =( inverse( X ), 'double_divide'( identity, multiply( X
% 0.44/1.08 , 'double_divide'( identity, inverse( identity ) ) ) ) ) ] )
% 0.44/1.08 , 0, 7, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.44/1.08 X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 225, [ =( 'double_divide'( identity, multiply( X, identity ) ),
% 0.44/1.08 inverse( X ) ) ] )
% 0.44/1.08 , clause( 224, [ =( inverse( X ), 'double_divide'( identity, multiply( X,
% 0.44/1.08 identity ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 31, [ =( 'double_divide'( identity, multiply( X, identity ) ),
% 0.44/1.08 inverse( X ) ) ] )
% 0.44/1.08 , clause( 225, [ =( 'double_divide'( identity, multiply( X, identity ) ),
% 0.44/1.08 inverse( X ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 227, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 230, [ =( multiply( multiply( X, identity ), identity ), inverse(
% 0.44/1.08 inverse( X ) ) ) ] )
% 0.44/1.08 , clause( 31, [ =( 'double_divide'( identity, multiply( X, identity ) ),
% 0.44/1.08 inverse( X ) ) ] )
% 0.44/1.08 , 0, clause( 227, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.44/1.08 ) ] )
% 0.44/1.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.44/1.08 identity ), :=( Y, multiply( X, identity ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 36, [ =( multiply( multiply( X, identity ), identity ), inverse(
% 0.44/1.08 inverse( X ) ) ) ] )
% 0.44/1.08 , clause( 230, [ =( multiply( multiply( X, identity ), identity ), inverse(
% 0.44/1.08 inverse( X ) ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 233, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.44/1.08 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.44/1.08 , clause( 14, [ =( 'double_divide'( Y, multiply( X, 'double_divide'(
% 0.44/1.08 identity, inverse( inverse( Y ) ) ) ) ), inverse( X ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 237, [ =( inverse( multiply( inverse( 'double_divide'( identity,
% 0.44/1.08 inverse( inverse( X ) ) ) ), identity ) ), 'double_divide'( X, identity )
% 0.44/1.08 ) ] )
% 0.44/1.08 , clause( 29, [ =( multiply( multiply( inverse( X ), identity ), X ),
% 0.44/1.08 identity ) ] )
% 0.44/1.08 , 0, clause( 233, [ =( inverse( Y ), 'double_divide'( X, multiply( Y,
% 0.44/1.08 'double_divide'( identity, inverse( inverse( X ) ) ) ) ) ) ] )
% 0.44/1.08 , 0, 12, substitution( 0, [ :=( X, 'double_divide'( identity, inverse(
% 0.44/1.08 inverse( X ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, multiply(
% 0.44/1.08 inverse( 'double_divide'( identity, inverse( inverse( X ) ) ) ), identity
% 0.44/1.08 ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 238, [ =( inverse( multiply( inverse( 'double_divide'( identity,
% 0.44/1.08 inverse( inverse( X ) ) ) ), identity ) ), inverse( X ) ) ] )
% 0.44/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.44/1.08 , 0, clause( 237, [ =( inverse( multiply( inverse( 'double_divide'(
% 0.44/1.08 identity, inverse( inverse( X ) ) ) ), identity ) ), 'double_divide'( X,
% 0.44/1.08 identity ) ) ] )
% 0.44/1.08 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 239, [ =( inverse( multiply( multiply( inverse( inverse( X ) ),
% 0.44/1.08 identity ), identity ) ), inverse( X ) ) ] )
% 0.44/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , 0, clause( 238, [ =( inverse( multiply( inverse( 'double_divide'(
% 0.44/1.08 identity, inverse( inverse( X ) ) ) ), identity ) ), inverse( X ) ) ] )
% 0.44/1.08 , 0, 3, substitution( 0, [ :=( X, inverse( inverse( X ) ) ), :=( Y,
% 0.44/1.08 identity )] ), substitution( 1, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 240, [ =( inverse( inverse( inverse( inverse( inverse( X ) ) ) ) )
% 0.44/1.08 , inverse( X ) ) ] )
% 0.44/1.08 , clause( 36, [ =( multiply( multiply( X, identity ), identity ), inverse(
% 0.44/1.08 inverse( X ) ) ) ] )
% 0.44/1.08 , 0, clause( 239, [ =( inverse( multiply( multiply( inverse( inverse( X ) )
% 0.44/1.08 , identity ), identity ) ), inverse( X ) ) ] )
% 0.44/1.08 , 0, 2, substitution( 0, [ :=( X, inverse( inverse( X ) ) )] ),
% 0.44/1.08 substitution( 1, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 37, [ =( inverse( inverse( inverse( inverse( inverse( X ) ) ) ) ),
% 0.44/1.08 inverse( X ) ) ] )
% 0.44/1.08 , clause( 240, [ =( inverse( inverse( inverse( inverse( inverse( X ) ) ) )
% 0.44/1.08 ), inverse( X ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 243, [ =( inverse( X ), 'double_divide'( identity, multiply( X,
% 0.44/1.08 identity ) ) ) ] )
% 0.44/1.08 , clause( 31, [ =( 'double_divide'( identity, multiply( X, identity ) ),
% 0.44/1.08 inverse( X ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 244, [ =( inverse( multiply( X, identity ) ), 'double_divide'(
% 0.44/1.08 identity, inverse( inverse( X ) ) ) ) ] )
% 0.44/1.08 , clause( 36, [ =( multiply( multiply( X, identity ), identity ), inverse(
% 0.44/1.08 inverse( X ) ) ) ] )
% 0.44/1.08 , 0, clause( 243, [ =( inverse( X ), 'double_divide'( identity, multiply( X
% 0.44/1.08 , identity ) ) ) ] )
% 0.44/1.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.44/1.08 multiply( X, identity ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 245, [ =( 'double_divide'( identity, inverse( inverse( X ) ) ),
% 0.44/1.08 inverse( multiply( X, identity ) ) ) ] )
% 0.44/1.08 , clause( 244, [ =( inverse( multiply( X, identity ) ), 'double_divide'(
% 0.44/1.08 identity, inverse( inverse( X ) ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 40, [ =( 'double_divide'( identity, inverse( inverse( X ) ) ),
% 0.44/1.08 inverse( multiply( X, identity ) ) ) ] )
% 0.44/1.08 , clause( 245, [ =( 'double_divide'( identity, inverse( inverse( X ) ) ),
% 0.44/1.08 inverse( multiply( X, identity ) ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 247, [ =( inverse( multiply( X, identity ) ), 'double_divide'(
% 0.44/1.08 identity, inverse( inverse( X ) ) ) ) ] )
% 0.44/1.08 , clause( 40, [ =( 'double_divide'( identity, inverse( inverse( X ) ) ),
% 0.44/1.08 inverse( multiply( X, identity ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 251, [ =( inverse( multiply( inverse( inverse( inverse( X ) ) ),
% 0.44/1.08 identity ) ), 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.44/1.08 , clause( 37, [ =( inverse( inverse( inverse( inverse( inverse( X ) ) ) ) )
% 0.44/1.08 , inverse( X ) ) ] )
% 0.44/1.08 , 0, clause( 247, [ =( inverse( multiply( X, identity ) ), 'double_divide'(
% 0.44/1.08 identity, inverse( inverse( X ) ) ) ) ] )
% 0.44/1.08 , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.44/1.08 inverse( inverse( inverse( X ) ) ) )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 252, [ =( 'double_divide'( inverse( X ), inverse( identity ) ),
% 0.44/1.08 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.44/1.08 , clause( 17, [ =( inverse( multiply( inverse( inverse( X ) ), identity ) )
% 0.44/1.08 , 'double_divide'( X, inverse( identity ) ) ) ] )
% 0.44/1.08 , 0, clause( 251, [ =( inverse( multiply( inverse( inverse( inverse( X ) )
% 0.44/1.08 ), identity ) ), 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.44/1.08 , 0, 1, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.44/1.08 :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 253, [ =( 'double_divide'( inverse( X ), identity ),
% 0.44/1.08 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.44/1.08 , clause( 28, [ =( inverse( identity ), identity ) ] )
% 0.44/1.08 , 0, clause( 252, [ =( 'double_divide'( inverse( X ), inverse( identity ) )
% 0.44/1.08 , 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.44/1.08 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 254, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.44/1.08 inverse( X ) ) ) ] )
% 0.44/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.44/1.08 , 0, clause( 253, [ =( 'double_divide'( inverse( X ), identity ),
% 0.44/1.08 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.44/1.08 , 0, 1, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.44/1.08 :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 255, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.44/1.08 inverse( X ) ) ) ] )
% 0.44/1.08 , clause( 254, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.44/1.08 inverse( X ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 51, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.44/1.08 inverse( X ) ) ) ] )
% 0.44/1.08 , clause( 255, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.44/1.08 inverse( X ) ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 ==> clause( 52, [ =( inverse( multiply( X, identity ) ), inverse( inverse(
% 0.44/1.08 inverse( X ) ) ) ) ] )
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 !!! Internal Problem: OH, OH, COULD NOT DERIVE GOAL !!!
% 0.44/1.08
% 0.44/1.08 Bliksem ended
%------------------------------------------------------------------------------