TSTP Solution File: GRP497-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP497-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 07:37:19 EDT 2022
% Result : Unsatisfiable 0.71s 1.08s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP497-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Tue Jun 14 08:07:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.71/1.08 *** allocated 10000 integers for termspace/termends
% 0.71/1.08 *** allocated 10000 integers for clauses
% 0.71/1.08 *** allocated 10000 integers for justifications
% 0.71/1.08 Bliksem 1.12
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Automatic Strategy Selection
% 0.71/1.08
% 0.71/1.08 Clauses:
% 0.71/1.08 [
% 0.71/1.08 [ =( 'double_divide'( 'double_divide'( identity, 'double_divide'( X,
% 0.71/1.08 'double_divide'( Y, identity ) ) ), 'double_divide'( 'double_divide'( Y,
% 0.71/1.08 'double_divide'( Z, X ) ), identity ) ), Z ) ],
% 0.71/1.08 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.71/1.08 identity ) ) ],
% 0.71/1.08 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.71/1.08 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.71/1.08 [ ~( =( multiply( identity, a2 ), a2 ) ) ]
% 0.71/1.08 ] .
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.08 This is a pure equality problem
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Options Used:
% 0.71/1.08
% 0.71/1.08 useres = 1
% 0.71/1.08 useparamod = 1
% 0.71/1.08 useeqrefl = 1
% 0.71/1.08 useeqfact = 1
% 0.71/1.08 usefactor = 1
% 0.71/1.08 usesimpsplitting = 0
% 0.71/1.08 usesimpdemod = 5
% 0.71/1.08 usesimpres = 3
% 0.71/1.08
% 0.71/1.08 resimpinuse = 1000
% 0.71/1.08 resimpclauses = 20000
% 0.71/1.08 substype = eqrewr
% 0.71/1.08 backwardsubs = 1
% 0.71/1.08 selectoldest = 5
% 0.71/1.08
% 0.71/1.08 litorderings [0] = split
% 0.71/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.08
% 0.71/1.08 termordering = kbo
% 0.71/1.08
% 0.71/1.08 litapriori = 0
% 0.71/1.08 termapriori = 1
% 0.71/1.08 litaposteriori = 0
% 0.71/1.08 termaposteriori = 0
% 0.71/1.08 demodaposteriori = 0
% 0.71/1.08 ordereqreflfact = 0
% 0.71/1.08
% 0.71/1.08 litselect = negord
% 0.71/1.08
% 0.71/1.08 maxweight = 15
% 0.71/1.08 maxdepth = 30000
% 0.71/1.08 maxlength = 115
% 0.71/1.08 maxnrvars = 195
% 0.71/1.08 excuselevel = 1
% 0.71/1.08 increasemaxweight = 1
% 0.71/1.08
% 0.71/1.08 maxselected = 10000000
% 0.71/1.08 maxnrclauses = 10000000
% 0.71/1.08
% 0.71/1.08 showgenerated = 0
% 0.71/1.08 showkept = 0
% 0.71/1.08 showselected = 0
% 0.71/1.08 showdeleted = 0
% 0.71/1.08 showresimp = 1
% 0.71/1.08 showstatus = 2000
% 0.71/1.08
% 0.71/1.08 prologoutput = 1
% 0.71/1.08 nrgoals = 5000000
% 0.71/1.08 totalproof = 1
% 0.71/1.08
% 0.71/1.08 Symbols occurring in the translation:
% 0.71/1.08
% 0.71/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.08 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.08 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.71/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.08 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.71/1.08 'double_divide' [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.71/1.08 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.71/1.08 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.71/1.08 a2 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Starting Search:
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Bliksems!, er is een bewijs:
% 0.71/1.08 % SZS status Unsatisfiable
% 0.71/1.08 % SZS output start Refutation
% 0.71/1.08
% 0.71/1.08 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, 'double_divide'(
% 0.71/1.08 X, 'double_divide'( Y, identity ) ) ), 'double_divide'( 'double_divide'(
% 0.71/1.08 Y, 'double_divide'( Z, X ) ), identity ) ), Z ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.71/1.08 multiply( X, Y ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.71/1.08 ), identity ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 9, [ =( 'double_divide'( 'double_divide'( identity, 'double_divide'(
% 0.71/1.08 X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ), Y ) ), Z ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 12, [ =( inverse( identity ), identity ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 13, [ =( multiply( multiply( 'double_divide'( Z, X ), Y ),
% 0.71/1.08 'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ),
% 0.71/1.08 inverse( Z ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 14, [ =( 'double_divide'( identity, multiply( 'double_divide'( Y, X
% 0.71/1.08 ), X ) ), Y ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 22, [ =( 'double_divide'( identity, inverse( inverse( inverse( X )
% 0.71/1.08 ) ) ), X ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 23, [ =( 'double_divide'( identity, multiply( inverse( X ),
% 0.71/1.08 identity ) ), X ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 33, [ =( multiply( inverse( inverse( inverse( X ) ) ), identity ),
% 0.71/1.08 inverse( X ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 37, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.71/1.08 inverse( X ) ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 39, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 49, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 50, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 54, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ), X ),
% 0.71/1.08 identity ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 57, [ =( inverse( multiply( 'double_divide'( X, Y ), Y ) ), X ) ]
% 0.71/1.08 )
% 0.71/1.08 .
% 0.71/1.08 clause( 67, [ =( multiply( inverse( inverse( Y ) ), multiply( inverse( Y )
% 0.71/1.08 , X ) ), X ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 71, [ =( multiply( inverse( X ), multiply( X, Z ) ), Z ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 74, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y ) )
% 0.71/1.08 ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 79, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 81, [] )
% 0.71/1.08 .
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 % SZS output end Refutation
% 0.71/1.08 found a proof!
% 0.71/1.08
% 0.71/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.08
% 0.71/1.08 initialclauses(
% 0.71/1.08 [ clause( 83, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, 'double_divide'( Y, identity ) ) ), 'double_divide'(
% 0.71/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), identity ) ), Z ) ] )
% 0.71/1.08 , clause( 84, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.71/1.08 ), identity ) ) ] )
% 0.71/1.08 , clause( 85, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.71/1.08 , clause( 86, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 87, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.71/1.08 ] ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 0, [ =( 'double_divide'( 'double_divide'( identity, 'double_divide'(
% 0.71/1.08 X, 'double_divide'( Y, identity ) ) ), 'double_divide'( 'double_divide'(
% 0.71/1.08 Y, 'double_divide'( Z, X ) ), identity ) ), Z ) ] )
% 0.71/1.08 , clause( 83, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, 'double_divide'( Y, identity ) ) ), 'double_divide'(
% 0.71/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), identity ) ), Z ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 90, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.71/1.08 multiply( X, Y ) ) ] )
% 0.71/1.08 , clause( 84, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.71/1.08 ), identity ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.71/1.08 multiply( X, Y ) ) ] )
% 0.71/1.08 , clause( 90, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.71/1.08 multiply( X, Y ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 93, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.08 , clause( 85, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.08 , clause( 93, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 97, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.08 , clause( 86, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.08 , clause( 97, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.71/1.08 , clause( 87, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.71/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 105, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.08 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.71/1.08 multiply( X, Y ) ) ] )
% 0.71/1.08 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.71/1.08 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.71/1.08 , clause( 105, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) )
% 0.71/1.08 ] )
% 0.71/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 108, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 111, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.71/1.08 multiply( Y, X ) ) ) ] )
% 0.71/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, clause( 108, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.71/1.08 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.08 :=( X, 'double_divide'( X, Y ) )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 112, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.71/1.08 ) ), identity ) ] )
% 0.71/1.08 , clause( 111, [ =( identity, 'double_divide'( 'double_divide'( X, Y ),
% 0.71/1.08 multiply( Y, X ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.71/1.08 ), identity ) ] )
% 0.71/1.08 , clause( 112, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y,
% 0.71/1.08 X ) ), identity ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 114, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 117, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.71/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.08 , 0, clause( 114, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.71/1.08 ) ] )
% 0.71/1.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.08 :=( Y, inverse( X ) )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.71/1.08 , clause( 117, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 120, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 123, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.08 , 0, clause( 120, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.71/1.08 ) ] )
% 0.71/1.08 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.08 :=( Y, identity )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 123, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 130, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, 'double_divide'( Y, identity ) ) ), inverse(
% 0.71/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ) ) ), Z ) ] )
% 0.71/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.08 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, 'double_divide'( Y, identity ) ) ), 'double_divide'(
% 0.71/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ), identity ) ), Z ) ] )
% 0.71/1.08 , 0, 9, substitution( 0, [ :=( X, 'double_divide'( Y, 'double_divide'( Z, X
% 0.71/1.08 ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 132, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, inverse( Y ) ) ), inverse( 'double_divide'( Y,
% 0.71/1.08 'double_divide'( Z, X ) ) ) ), Z ) ] )
% 0.71/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.08 , 0, clause( 130, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, 'double_divide'( Y, identity ) ) ), inverse(
% 0.71/1.08 'double_divide'( Y, 'double_divide'( Z, X ) ) ) ), Z ) ] )
% 0.71/1.08 , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.08 :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 133, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.71/1.08 Y ) ), Z ) ] )
% 0.71/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, clause( 132, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, inverse( Y ) ) ), inverse( 'double_divide'( Y,
% 0.71/1.08 'double_divide'( Z, X ) ) ) ), Z ) ] )
% 0.71/1.08 , 0, 8, substitution( 0, [ :=( X, 'double_divide'( Z, X ) ), :=( Y, Y )] )
% 0.71/1.08 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 9, [ =( 'double_divide'( 'double_divide'( identity, 'double_divide'(
% 0.71/1.08 X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ), Y ) ), Z ) ] )
% 0.71/1.08 , clause( 133, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.71/1.08 Y ) ), Z ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 136, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.71/1.08 , clause( 4, [ ~( =( multiply( identity, a2 ), a2 ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 137, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.71/1.08 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , 0, clause( 136, [ ~( =( a2, multiply( identity, a2 ) ) ) ] )
% 0.71/1.08 , 0, 3, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 138, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.71/1.08 , clause( 137, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.71/1.08 , clause( 138, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.71/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 139, [ =( Z, 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.71/1.08 Y ) ) ) ] )
% 0.71/1.08 , clause( 9, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.71/1.08 Y ) ), Z ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 141, [ =( inverse( identity ), identity ) ] )
% 0.71/1.08 , clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.71/1.08 ) ), identity ) ] )
% 0.71/1.08 , 0, clause( 139, [ =( Z, 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.71/1.08 Y ) ) ) ] )
% 0.71/1.08 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, 'double_divide'(
% 0.71/1.08 inverse( identity ), inverse( identity ) ) )] ), substitution( 1, [ :=( X
% 0.71/1.08 , inverse( identity ) ), :=( Y, identity ), :=( Z, inverse( identity ) )] )
% 0.71/1.08 ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 12, [ =( inverse( identity ), identity ) ] )
% 0.71/1.08 , clause( 141, [ =( inverse( identity ), identity ) ] )
% 0.71/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 146, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 149, [ =( multiply( multiply( 'double_divide'( X, Y ), Z ),
% 0.71/1.08 'double_divide'( identity, 'double_divide'( Y, inverse( Z ) ) ) ),
% 0.71/1.08 inverse( X ) ) ] )
% 0.71/1.08 , clause( 9, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.71/1.08 Y ) ), Z ) ] )
% 0.71/1.08 , 0, clause( 146, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.71/1.08 ) ] )
% 0.71/1.08 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.71/1.08 substitution( 1, [ :=( X, 'double_divide'( identity, 'double_divide'( Y,
% 0.71/1.08 inverse( Z ) ) ) ), :=( Y, multiply( 'double_divide'( X, Y ), Z ) )] )
% 0.71/1.08 ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 13, [ =( multiply( multiply( 'double_divide'( Z, X ), Y ),
% 0.71/1.08 'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ),
% 0.71/1.08 inverse( Z ) ) ] )
% 0.71/1.08 , clause( 149, [ =( multiply( multiply( 'double_divide'( X, Y ), Z ),
% 0.71/1.08 'double_divide'( identity, 'double_divide'( Y, inverse( Z ) ) ) ),
% 0.71/1.08 inverse( X ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.71/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 152, [ =( Z, 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.71/1.08 Y ) ) ) ] )
% 0.71/1.08 , clause( 9, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.71/1.08 Y ) ), Z ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 155, [ =( X, 'double_divide'( 'double_divide'( identity, identity )
% 0.71/1.08 , multiply( 'double_divide'( X, Y ), Y ) ) ) ] )
% 0.71/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.08 , 0, clause( 152, [ =( Z, 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, inverse( Y ) ) ), multiply( 'double_divide'( Z, X ),
% 0.71/1.08 Y ) ) ) ] )
% 0.71/1.08 , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.71/1.08 :=( Y, Y ), :=( Z, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 157, [ =( X, 'double_divide'( inverse( identity ), multiply(
% 0.71/1.08 'double_divide'( X, Y ), Y ) ) ) ] )
% 0.71/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.08 , 0, clause( 155, [ =( X, 'double_divide'( 'double_divide'( identity,
% 0.71/1.08 identity ), multiply( 'double_divide'( X, Y ), Y ) ) ) ] )
% 0.71/1.08 , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.71/1.08 X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 158, [ =( X, 'double_divide'( identity, multiply( 'double_divide'(
% 0.71/1.08 X, Y ), Y ) ) ) ] )
% 0.71/1.08 , clause( 12, [ =( inverse( identity ), identity ) ] )
% 0.71/1.08 , 0, clause( 157, [ =( X, 'double_divide'( inverse( identity ), multiply(
% 0.71/1.08 'double_divide'( X, Y ), Y ) ) ) ] )
% 0.71/1.08 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.71/1.08 ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 159, [ =( 'double_divide'( identity, multiply( 'double_divide'( X,
% 0.71/1.08 Y ), Y ) ), X ) ] )
% 0.71/1.08 , clause( 158, [ =( X, 'double_divide'( identity, multiply( 'double_divide'(
% 0.71/1.08 X, Y ), Y ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 14, [ =( 'double_divide'( identity, multiply( 'double_divide'( Y, X
% 0.71/1.08 ), X ) ), Y ) ] )
% 0.71/1.08 , clause( 159, [ =( 'double_divide'( identity, multiply( 'double_divide'( X
% 0.71/1.08 , Y ), Y ) ), X ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 161, [ =( X, 'double_divide'( identity, multiply( 'double_divide'(
% 0.71/1.08 X, Y ), Y ) ) ) ] )
% 0.71/1.08 , clause( 14, [ =( 'double_divide'( identity, multiply( 'double_divide'( Y
% 0.71/1.08 , X ), X ) ), Y ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 163, [ =( X, 'double_divide'( identity, multiply( identity, inverse(
% 0.71/1.08 X ) ) ) ) ] )
% 0.71/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.08 , 0, clause( 161, [ =( X, 'double_divide'( identity, multiply(
% 0.71/1.08 'double_divide'( X, Y ), Y ) ) ) ] )
% 0.71/1.08 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.08 :=( Y, inverse( X ) )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 164, [ =( X, 'double_divide'( identity, inverse( inverse( inverse(
% 0.71/1.08 X ) ) ) ) ) ] )
% 0.71/1.08 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , 0, clause( 163, [ =( X, 'double_divide'( identity, multiply( identity,
% 0.71/1.08 inverse( X ) ) ) ) ] )
% 0.71/1.08 , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.71/1.08 :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 165, [ =( 'double_divide'( identity, inverse( inverse( inverse( X )
% 0.71/1.08 ) ) ), X ) ] )
% 0.71/1.08 , clause( 164, [ =( X, 'double_divide'( identity, inverse( inverse( inverse(
% 0.71/1.08 X ) ) ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 22, [ =( 'double_divide'( identity, inverse( inverse( inverse( X )
% 0.71/1.08 ) ) ), X ) ] )
% 0.71/1.08 , clause( 165, [ =( 'double_divide'( identity, inverse( inverse( inverse( X
% 0.71/1.08 ) ) ) ), X ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 167, [ =( X, 'double_divide'( identity, multiply( 'double_divide'(
% 0.71/1.08 X, Y ), Y ) ) ) ] )
% 0.71/1.08 , clause( 14, [ =( 'double_divide'( identity, multiply( 'double_divide'( Y
% 0.71/1.08 , X ), X ) ), Y ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 168, [ =( X, 'double_divide'( identity, multiply( inverse( X ),
% 0.71/1.08 identity ) ) ) ] )
% 0.71/1.08 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.08 , 0, clause( 167, [ =( X, 'double_divide'( identity, multiply(
% 0.71/1.08 'double_divide'( X, Y ), Y ) ) ) ] )
% 0.71/1.08 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.08 :=( Y, identity )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 169, [ =( 'double_divide'( identity, multiply( inverse( X ),
% 0.71/1.08 identity ) ), X ) ] )
% 0.71/1.08 , clause( 168, [ =( X, 'double_divide'( identity, multiply( inverse( X ),
% 0.71/1.08 identity ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 23, [ =( 'double_divide'( identity, multiply( inverse( X ),
% 0.71/1.08 identity ) ), X ) ] )
% 0.71/1.08 , clause( 169, [ =( 'double_divide'( identity, multiply( inverse( X ),
% 0.71/1.08 identity ) ), X ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 171, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 174, [ =( multiply( inverse( inverse( inverse( X ) ) ), identity )
% 0.71/1.08 , inverse( X ) ) ] )
% 0.71/1.08 , clause( 22, [ =( 'double_divide'( identity, inverse( inverse( inverse( X
% 0.71/1.08 ) ) ) ), X ) ] )
% 0.71/1.08 , 0, clause( 171, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.71/1.08 ) ] )
% 0.71/1.08 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.71/1.08 identity ), :=( Y, inverse( inverse( inverse( X ) ) ) )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 33, [ =( multiply( inverse( inverse( inverse( X ) ) ), identity ),
% 0.71/1.08 inverse( X ) ) ] )
% 0.71/1.08 , clause( 174, [ =( multiply( inverse( inverse( inverse( X ) ) ), identity
% 0.71/1.08 ), inverse( X ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 177, [ =( X, 'double_divide'( identity, multiply( inverse( X ),
% 0.71/1.08 identity ) ) ) ] )
% 0.71/1.08 , clause( 23, [ =( 'double_divide'( identity, multiply( inverse( X ),
% 0.71/1.08 identity ) ), X ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 178, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.71/1.08 inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 33, [ =( multiply( inverse( inverse( inverse( X ) ) ), identity )
% 0.71/1.08 , inverse( X ) ) ] )
% 0.71/1.08 , 0, clause( 177, [ =( X, 'double_divide'( identity, multiply( inverse( X )
% 0.71/1.08 , identity ) ) ) ] )
% 0.71/1.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.71/1.08 inverse( X ) ) )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 179, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.71/1.08 inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 178, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.71/1.08 inverse( X ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 37, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.71/1.08 inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 179, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.71/1.08 inverse( X ) ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 180, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.71/1.08 inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 37, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.71/1.08 inverse( X ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 182, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.71/1.08 , clause( 22, [ =( 'double_divide'( identity, inverse( inverse( inverse( X
% 0.71/1.08 ) ) ) ), X ) ] )
% 0.71/1.08 , 0, clause( 180, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.71/1.08 inverse( X ) ) ) ] )
% 0.71/1.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.71/1.08 inverse( X ) ) )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 39, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.71/1.08 , clause( 182, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 185, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.71/1.08 inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 37, [ =( 'double_divide'( identity, inverse( X ) ), inverse(
% 0.71/1.08 inverse( X ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 187, [ =( inverse( inverse( inverse( inverse( inverse( X ) ) ) ) )
% 0.71/1.08 , 'double_divide'( identity, X ) ) ] )
% 0.71/1.08 , clause( 39, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.71/1.08 , 0, clause( 185, [ =( inverse( inverse( X ) ), 'double_divide'( identity,
% 0.71/1.08 inverse( X ) ) ) ] )
% 0.71/1.08 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.71/1.08 inverse( inverse( X ) ) ) )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 188, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.71/1.08 , clause( 39, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.71/1.08 , 0, clause( 187, [ =( inverse( inverse( inverse( inverse( inverse( X ) ) )
% 0.71/1.08 ) ), 'double_divide'( identity, X ) ) ] )
% 0.71/1.08 , 0, 1, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.71/1.08 :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 190, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.71/1.08 , clause( 188, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 49, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.71/1.08 , clause( 190, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 193, [ =( inverse( X ), multiply( inverse( inverse( inverse( X ) )
% 0.71/1.08 ), identity ) ) ] )
% 0.71/1.08 , clause( 33, [ =( multiply( inverse( inverse( inverse( X ) ) ), identity )
% 0.71/1.08 , inverse( X ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 196, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.71/1.08 , clause( 39, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.71/1.08 , 0, clause( 193, [ =( inverse( X ), multiply( inverse( inverse( inverse( X
% 0.71/1.08 ) ) ), identity ) ) ] )
% 0.71/1.08 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.71/1.08 X ) )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 201, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 196, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 50, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 201, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 203, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 204, [ =( identity, 'double_divide'( inverse( inverse( inverse( X )
% 0.71/1.08 ) ), X ) ) ] )
% 0.71/1.08 , clause( 39, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.71/1.08 , 0, clause( 203, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.71/1.08 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.71/1.08 inverse( inverse( X ) ) ) )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 205, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ), X )
% 0.71/1.08 , identity ) ] )
% 0.71/1.08 , clause( 204, [ =( identity, 'double_divide'( inverse( inverse( inverse( X
% 0.71/1.08 ) ) ), X ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 54, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ), X ),
% 0.71/1.08 identity ) ] )
% 0.71/1.08 , clause( 205, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ), X
% 0.71/1.08 ), identity ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 206, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.71/1.08 , clause( 49, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 208, [ =( inverse( multiply( 'double_divide'( X, Y ), Y ) ), X ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 14, [ =( 'double_divide'( identity, multiply( 'double_divide'( Y
% 0.71/1.08 , X ), X ) ), Y ) ] )
% 0.71/1.08 , 0, clause( 206, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.71/1.08 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.71/1.08 :=( X, multiply( 'double_divide'( X, Y ), Y ) )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 57, [ =( inverse( multiply( 'double_divide'( X, Y ), Y ) ), X ) ]
% 0.71/1.08 )
% 0.71/1.08 , clause( 208, [ =( inverse( multiply( 'double_divide'( X, Y ), Y ) ), X )
% 0.71/1.08 ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 211, [ =( inverse( X ), multiply( multiply( 'double_divide'( X, Y )
% 0.71/1.08 , Z ), 'double_divide'( identity, 'double_divide'( Y, inverse( Z ) ) ) )
% 0.71/1.08 ) ] )
% 0.71/1.08 , clause( 13, [ =( multiply( multiply( 'double_divide'( Z, X ), Y ),
% 0.71/1.08 'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ),
% 0.71/1.08 inverse( Z ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 216, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), multiply(
% 0.71/1.08 multiply( identity, Y ), 'double_divide'( identity, 'double_divide'( X,
% 0.71/1.08 inverse( Y ) ) ) ) ) ] )
% 0.71/1.08 , clause( 54, [ =( 'double_divide'( inverse( inverse( inverse( X ) ) ), X )
% 0.71/1.08 , identity ) ] )
% 0.71/1.08 , 0, clause( 211, [ =( inverse( X ), multiply( multiply( 'double_divide'( X
% 0.71/1.08 , Y ), Z ), 'double_divide'( identity, 'double_divide'( Y, inverse( Z ) )
% 0.71/1.08 ) ) ) ] )
% 0.71/1.08 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.71/1.08 inverse( inverse( X ) ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 218, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), multiply(
% 0.71/1.08 inverse( inverse( Y ) ), 'double_divide'( identity, 'double_divide'( X,
% 0.71/1.08 inverse( Y ) ) ) ) ) ] )
% 0.71/1.08 , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , 0, clause( 216, [ =( inverse( inverse( inverse( inverse( X ) ) ) ),
% 0.71/1.08 multiply( multiply( identity, Y ), 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 0.71/1.08 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.08 :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 219, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), multiply(
% 0.71/1.08 inverse( inverse( Y ) ), inverse( 'double_divide'( X, inverse( Y ) ) ) )
% 0.71/1.08 ) ] )
% 0.71/1.08 , clause( 49, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.71/1.08 , 0, clause( 218, [ =( inverse( inverse( inverse( inverse( X ) ) ) ),
% 0.71/1.08 multiply( inverse( inverse( Y ) ), 'double_divide'( identity,
% 0.71/1.08 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 0.71/1.08 , 0, 10, substitution( 0, [ :=( X, 'double_divide'( X, inverse( Y ) ) )] )
% 0.71/1.08 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 220, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), multiply(
% 0.71/1.08 inverse( inverse( Y ) ), multiply( inverse( Y ), X ) ) ) ] )
% 0.71/1.08 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, clause( 219, [ =( inverse( inverse( inverse( inverse( X ) ) ) ),
% 0.71/1.08 multiply( inverse( inverse( Y ) ), inverse( 'double_divide'( X, inverse(
% 0.71/1.08 Y ) ) ) ) ) ] )
% 0.71/1.08 , 0, 10, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ),
% 0.71/1.08 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 221, [ =( X, multiply( inverse( inverse( Y ) ), multiply( inverse(
% 0.71/1.08 Y ), X ) ) ) ] )
% 0.71/1.08 , clause( 39, [ =( inverse( inverse( inverse( inverse( X ) ) ) ), X ) ] )
% 0.71/1.08 , 0, clause( 220, [ =( inverse( inverse( inverse( inverse( X ) ) ) ),
% 0.71/1.08 multiply( inverse( inverse( Y ) ), multiply( inverse( Y ), X ) ) ) ] )
% 0.71/1.08 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.08 :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 222, [ =( multiply( inverse( inverse( Y ) ), multiply( inverse( Y )
% 0.71/1.08 , X ) ), X ) ] )
% 0.71/1.08 , clause( 221, [ =( X, multiply( inverse( inverse( Y ) ), multiply( inverse(
% 0.71/1.08 Y ), X ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 67, [ =( multiply( inverse( inverse( Y ) ), multiply( inverse( Y )
% 0.71/1.08 , X ) ), X ) ] )
% 0.71/1.08 , clause( 222, [ =( multiply( inverse( inverse( Y ) ), multiply( inverse( Y
% 0.71/1.08 ), X ) ), X ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 224, [ =( Y, multiply( inverse( inverse( X ) ), multiply( inverse(
% 0.71/1.08 X ), Y ) ) ) ] )
% 0.71/1.08 , clause( 67, [ =( multiply( inverse( inverse( Y ) ), multiply( inverse( Y
% 0.71/1.08 ), X ) ), X ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 226, [ =( X, multiply( inverse( inverse( multiply( 'double_divide'(
% 0.71/1.08 Y, Z ), Z ) ) ), multiply( Y, X ) ) ) ] )
% 0.71/1.08 , clause( 57, [ =( inverse( multiply( 'double_divide'( X, Y ), Y ) ), X ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, clause( 224, [ =( Y, multiply( inverse( inverse( X ) ), multiply(
% 0.71/1.08 inverse( X ), Y ) ) ) ] )
% 0.71/1.08 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.71/1.08 :=( X, multiply( 'double_divide'( Y, Z ), Z ) ), :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 227, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 0.71/1.08 , clause( 57, [ =( inverse( multiply( 'double_divide'( X, Y ), Y ) ), X ) ]
% 0.71/1.08 )
% 0.71/1.08 , 0, clause( 226, [ =( X, multiply( inverse( inverse( multiply(
% 0.71/1.08 'double_divide'( Y, Z ), Z ) ) ), multiply( Y, X ) ) ) ] )
% 0.71/1.08 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.71/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 229, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 0.71/1.08 , clause( 227, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 71, [ =( multiply( inverse( X ), multiply( X, Z ) ), Z ) ] )
% 0.71/1.08 , clause( 229, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, Z ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 231, [ =( Y, multiply( inverse( X ), multiply( X, Y ) ) ) ] )
% 0.71/1.08 , clause( 71, [ =( multiply( inverse( X ), multiply( X, Z ) ), Z ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 234, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.71/1.08 ) ] )
% 0.71/1.08 , clause( 71, [ =( multiply( inverse( X ), multiply( X, Z ) ), Z ) ] )
% 0.71/1.08 , 0, clause( 231, [ =( Y, multiply( inverse( X ), multiply( X, Y ) ) ) ] )
% 0.71/1.08 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.71/1.08 substitution( 1, [ :=( X, inverse( X ) ), :=( Y, multiply( X, Y ) )] )
% 0.71/1.08 ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 235, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.71/1.08 ) ] )
% 0.71/1.08 , clause( 234, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y
% 0.71/1.08 ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 74, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y ) )
% 0.71/1.08 ] )
% 0.71/1.08 , clause( 235, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.71/1.08 ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.08 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 237, [ =( Y, multiply( inverse( X ), multiply( X, Y ) ) ) ] )
% 0.71/1.08 , clause( 71, [ =( multiply( inverse( X ), multiply( X, Z ) ), Z ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 241, [ =( X, multiply( inverse( inverse( X ) ), inverse( identity )
% 0.71/1.08 ) ) ] )
% 0.71/1.08 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.71/1.08 , 0, clause( 237, [ =( Y, multiply( inverse( X ), multiply( X, Y ) ) ) ] )
% 0.71/1.08 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.71/1.08 X ) ), :=( Y, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 242, [ =( X, multiply( X, inverse( identity ) ) ) ] )
% 0.71/1.08 , clause( 74, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.71/1.08 ) ] )
% 0.71/1.08 , 0, clause( 241, [ =( X, multiply( inverse( inverse( X ) ), inverse(
% 0.71/1.08 identity ) ) ) ] )
% 0.71/1.08 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, inverse( identity ) )] ),
% 0.71/1.08 substitution( 1, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 243, [ =( X, multiply( X, identity ) ) ] )
% 0.71/1.08 , clause( 12, [ =( inverse( identity ), identity ) ] )
% 0.71/1.08 , 0, clause( 242, [ =( X, multiply( X, inverse( identity ) ) ) ] )
% 0.71/1.08 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 244, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 50, [ =( multiply( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , 0, clause( 243, [ =( X, multiply( X, identity ) ) ] )
% 0.71/1.08 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.08 ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 245, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.08 , clause( 244, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 79, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.08 , clause( 245, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 246, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , clause( 79, [ =( inverse( inverse( X ) ), X ) ] )
% 0.71/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 247, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.71/1.08 , clause( 11, [ ~( =( inverse( inverse( a2 ) ), a2 ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 resolution(
% 0.71/1.08 clause( 248, [] )
% 0.71/1.08 , clause( 247, [ ~( =( a2, inverse( inverse( a2 ) ) ) ) ] )
% 0.71/1.08 , 0, clause( 246, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a2 )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 81, [] )
% 0.71/1.08 , clause( 248, [] )
% 0.71/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 end.
% 0.71/1.08
% 0.71/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.08
% 0.71/1.08 Memory use:
% 0.71/1.08
% 0.71/1.08 space for terms: 955
% 0.71/1.08 space for clauses: 9362
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 clauses generated: 304
% 0.71/1.08 clauses kept: 82
% 0.71/1.08 clauses selected: 27
% 0.71/1.08 clauses deleted: 7
% 0.71/1.08 clauses inuse deleted: 0
% 0.71/1.08
% 0.71/1.08 subsentry: 467
% 0.71/1.08 literals s-matched: 162
% 0.71/1.08 literals matched: 155
% 0.71/1.08 full subsumption: 0
% 0.71/1.08
% 0.71/1.08 checksum: -349460076
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Bliksem ended
%------------------------------------------------------------------------------